Properties

Label 121.2.e.a.23.4
Level $121$
Weight $2$
Character 121.23
Analytic conductor $0.966$
Analytic rank $0$
Dimension $100$
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] = [121,2,Mod(12,121)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(121, base_ring=CyclotomicField(22))
 
chi = DirichletCharacter(H, H._module([18]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("121.12");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 121 = 11^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 121.e (of order \(11\), degree \(10\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(0.966189864457\)
Analytic rank: \(0\)
Dimension: \(100\)
Relative dimension: \(10\) over \(\Q(\zeta_{11})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{11}]$

Embedding invariants

Embedding label 23.4
Character \(\chi\) \(=\) 121.23
Dual form 121.2.e.a.100.4

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.597130 + 1.30753i) q^{2} -0.640035 q^{3} +(-0.0433545 - 0.0500337i) q^{4} +(-3.97756 - 1.16792i) q^{5} +(0.382184 - 0.836867i) q^{6} +(0.623172 + 4.33426i) q^{7} +(-2.66710 + 0.783131i) q^{8} -2.59035 q^{9} +O(q^{10})\) \(q+(-0.597130 + 1.30753i) q^{2} -0.640035 q^{3} +(-0.0433545 - 0.0500337i) q^{4} +(-3.97756 - 1.16792i) q^{5} +(0.382184 - 0.836867i) q^{6} +(0.623172 + 4.33426i) q^{7} +(-2.66710 + 0.783131i) q^{8} -2.59035 q^{9} +(3.90221 - 4.50339i) q^{10} +(3.31624 - 0.0507878i) q^{11} +(0.0277484 + 0.0320233i) q^{12} +(-0.608526 - 0.702277i) q^{13} +(-6.03929 - 1.77330i) q^{14} +(2.54578 + 0.747508i) q^{15} +(0.587479 - 4.08601i) q^{16} +(2.51116 + 1.61382i) q^{17} +(1.54678 - 3.38697i) q^{18} +(-0.736041 + 0.473025i) q^{19} +(0.114010 + 0.249647i) q^{20} +(-0.398852 - 2.77408i) q^{21} +(-1.91382 + 4.36641i) q^{22} +(-0.753600 + 5.24141i) q^{23} +(1.70704 - 0.501231i) q^{24} +(10.2507 + 6.58772i) q^{25} +(1.28162 - 0.376317i) q^{26} +3.57802 q^{27} +(0.189842 - 0.219089i) q^{28} +(2.03939 - 1.31063i) q^{29} +(-2.49755 + 2.88233i) q^{30} +(-1.04055 + 1.20086i) q^{31} +(0.314927 + 0.202391i) q^{32} +(-2.12251 + 0.0325060i) q^{33} +(-3.60962 + 2.31976i) q^{34} +(2.58335 - 17.9676i) q^{35} +(0.112303 + 0.129605i) q^{36} +(-3.15579 + 3.64197i) q^{37} +(-0.178983 - 1.24486i) q^{38} +(0.389478 + 0.449482i) q^{39} +11.5232 q^{40} +(-2.06701 + 4.52611i) q^{41} +(3.86536 + 1.13497i) q^{42} +(5.10405 - 1.49868i) q^{43} +(-0.146315 - 0.163722i) q^{44} +(10.3033 + 3.02532i) q^{45} +(-6.40331 - 4.11516i) q^{46} +(-2.84451 - 6.22861i) q^{47} +(-0.376007 + 2.61519i) q^{48} +(-11.6810 + 3.42985i) q^{49} +(-14.7347 + 9.46938i) q^{50} +(-1.60723 - 1.03290i) q^{51} +(-0.00875518 + 0.0608936i) q^{52} +(1.28928 + 8.96711i) q^{53} +(-2.13654 + 4.67838i) q^{54} +(-13.2498 - 3.67108i) q^{55} +(-5.05635 - 11.0719i) q^{56} +(0.471092 - 0.302753i) q^{57} +(0.495918 + 3.44918i) q^{58} +(-2.63232 - 5.76399i) q^{59} +(-0.0729703 - 0.159783i) q^{60} +(-3.69025 - 8.08052i) q^{61} +(-0.948821 - 2.07763i) q^{62} +(-1.61424 - 11.2273i) q^{63} +(6.49275 - 4.17263i) q^{64} +(1.60025 + 3.50406i) q^{65} +(1.22491 - 2.79466i) q^{66} +(-2.62345 + 5.74455i) q^{67} +(-0.0281243 - 0.195609i) q^{68} +(0.482331 - 3.35468i) q^{69} +(21.9506 + 14.1068i) q^{70} +(-3.45927 + 2.22314i) q^{71} +(6.90873 - 2.02859i) q^{72} +(0.847223 - 5.89257i) q^{73} +(-2.87758 - 6.30102i) q^{74} +(-6.56080 - 4.21637i) q^{75} +(0.0555779 + 0.0163191i) q^{76} +(2.28671 + 14.3418i) q^{77} +(-0.820281 + 0.240856i) q^{78} +(2.78807 + 0.818652i) q^{79} +(-7.10885 + 15.5662i) q^{80} +5.48100 q^{81} +(-4.68376 - 5.40535i) q^{82} +(0.586961 + 4.08241i) q^{83} +(-0.121505 + 0.140225i) q^{84} +(-8.10348 - 9.35191i) q^{85} +(-1.08820 + 7.56862i) q^{86} +(-1.30528 + 0.838852i) q^{87} +(-8.80495 + 2.73250i) q^{88} +(6.74142 + 4.33245i) q^{89} +(-10.1081 + 11.6654i) q^{90} +(2.66463 - 3.07515i) q^{91} +(0.294919 - 0.189533i) q^{92} +(0.665991 - 0.768594i) q^{93} +9.84265 q^{94} +(3.48010 - 1.02185i) q^{95} +(-0.201564 - 0.129538i) q^{96} +(8.12344 - 2.38526i) q^{97} +(2.49043 - 17.3213i) q^{98} +(-8.59023 + 0.131558i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 100 q - 6 q^{2} - 18 q^{3} - 16 q^{4} - 7 q^{5} - 23 q^{6} - q^{7} + 4 q^{8} + 70 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 100 q - 6 q^{2} - 18 q^{3} - 16 q^{4} - 7 q^{5} - 23 q^{6} - q^{7} + 4 q^{8} + 70 q^{9} - 13 q^{10} - 12 q^{11} - 51 q^{12} - 34 q^{13} - 17 q^{14} - 46 q^{15} + 10 q^{16} + 9 q^{17} - 31 q^{18} + 9 q^{19} + 21 q^{20} - 14 q^{21} - 20 q^{22} - 11 q^{23} - 72 q^{24} + 11 q^{25} + 33 q^{26} - 60 q^{27} + 49 q^{28} + 19 q^{29} + 26 q^{30} - 13 q^{31} + 44 q^{32} + q^{33} + 31 q^{34} + 39 q^{35} - 17 q^{36} - 16 q^{37} - 29 q^{38} + 16 q^{39} + 2 q^{40} + 39 q^{41} + 42 q^{42} + 39 q^{43} + 53 q^{44} - 33 q^{45} + 59 q^{46} + 21 q^{47} + 56 q^{48} - 11 q^{49} - 58 q^{50} - 139 q^{51} - 75 q^{52} - 73 q^{53} - 156 q^{54} - 34 q^{55} + 10 q^{56} - 41 q^{57} - 38 q^{58} + 33 q^{59} + 100 q^{60} + 39 q^{61} + 44 q^{62} - 76 q^{63} - 16 q^{64} + 36 q^{65} + 75 q^{66} - 4 q^{67} + 119 q^{68} + 32 q^{69} + 61 q^{70} + 5 q^{71} + 63 q^{72} + 37 q^{73} + 109 q^{74} + 58 q^{75} - 91 q^{76} - 53 q^{77} - 24 q^{78} - 9 q^{79} - 36 q^{80} + 28 q^{81} + 33 q^{82} + 79 q^{83} + 176 q^{84} - 11 q^{85} + 85 q^{86} + 76 q^{87} + 33 q^{88} - 48 q^{89} - 89 q^{90} - 14 q^{91} - 113 q^{92} + 31 q^{93} - 38 q^{94} + 21 q^{95} + 84 q^{96} + 40 q^{97} - 22 q^{98} - 53 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/121\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{7}{11}\right)\)

Coefficient data

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



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.597130 + 1.30753i −0.422235 + 0.924565i 0.572289 + 0.820052i \(0.306056\pi\)
−0.994524 + 0.104513i \(0.966672\pi\)
\(3\) −0.640035 −0.369524 −0.184762 0.982783i \(-0.559152\pi\)
−0.184762 + 0.982783i \(0.559152\pi\)
\(4\) −0.0433545 0.0500337i −0.0216772 0.0250169i
\(5\) −3.97756 1.16792i −1.77882 0.522308i −0.783713 0.621123i \(-0.786677\pi\)
−0.995106 + 0.0988141i \(0.968495\pi\)
\(6\) 0.382184 0.836867i 0.156026 0.341649i
\(7\) 0.623172 + 4.33426i 0.235537 + 1.63819i 0.673490 + 0.739197i \(0.264795\pi\)
−0.437953 + 0.898998i \(0.644296\pi\)
\(8\) −2.66710 + 0.783131i −0.942962 + 0.276879i
\(9\) −2.59035 −0.863452
\(10\) 3.90221 4.50339i 1.23399 1.42410i
\(11\) 3.31624 0.0507878i 0.999883 0.0153131i
\(12\) 0.0277484 + 0.0320233i 0.00801027 + 0.00924434i
\(13\) −0.608526 0.702277i −0.168775 0.194776i 0.665061 0.746789i \(-0.268406\pi\)
−0.833836 + 0.552013i \(0.813860\pi\)
\(14\) −6.03929 1.77330i −1.61407 0.473933i
\(15\) 2.54578 + 0.747508i 0.657317 + 0.193006i
\(16\) 0.587479 4.08601i 0.146870 1.02150i
\(17\) 2.51116 + 1.61382i 0.609046 + 0.391410i 0.808499 0.588497i \(-0.200280\pi\)
−0.199453 + 0.979907i \(0.563917\pi\)
\(18\) 1.54678 3.38697i 0.364579 0.798317i
\(19\) −0.736041 + 0.473025i −0.168859 + 0.108519i −0.622341 0.782746i \(-0.713818\pi\)
0.453481 + 0.891266i \(0.350182\pi\)
\(20\) 0.114010 + 0.249647i 0.0254934 + 0.0558227i
\(21\) −0.398852 2.77408i −0.0870366 0.605353i
\(22\) −1.91382 + 4.36641i −0.408027 + 0.930922i
\(23\) −0.753600 + 5.24141i −0.157137 + 1.09291i 0.746740 + 0.665116i \(0.231618\pi\)
−0.903877 + 0.427793i \(0.859291\pi\)
\(24\) 1.70704 0.501231i 0.348447 0.102313i
\(25\) 10.2507 + 6.58772i 2.05014 + 1.31754i
\(26\) 1.28162 0.376317i 0.251346 0.0738019i
\(27\) 3.57802 0.688591
\(28\) 0.189842 0.219089i 0.0358767 0.0414039i
\(29\) 2.03939 1.31063i 0.378705 0.243379i −0.337415 0.941356i \(-0.609553\pi\)
0.716120 + 0.697977i \(0.245916\pi\)
\(30\) −2.49755 + 2.88233i −0.455988 + 0.526239i
\(31\) −1.04055 + 1.20086i −0.186889 + 0.215681i −0.841460 0.540319i \(-0.818304\pi\)
0.654572 + 0.756000i \(0.272849\pi\)
\(32\) 0.314927 + 0.202391i 0.0556718 + 0.0357781i
\(33\) −2.12251 + 0.0325060i −0.369481 + 0.00565857i
\(34\) −3.60962 + 2.31976i −0.619044 + 0.397835i
\(35\) 2.58335 17.9676i 0.436666 3.03708i
\(36\) 0.112303 + 0.129605i 0.0187172 + 0.0216008i
\(37\) −3.15579 + 3.64197i −0.518808 + 0.598737i −0.953332 0.301924i \(-0.902371\pi\)
0.434524 + 0.900660i \(0.356917\pi\)
\(38\) −0.178983 1.24486i −0.0290349 0.201942i
\(39\) 0.389478 + 0.449482i 0.0623664 + 0.0719747i
\(40\) 11.5232 1.82197
\(41\) −2.06701 + 4.52611i −0.322812 + 0.706860i −0.999569 0.0293464i \(-0.990657\pi\)
0.676757 + 0.736206i \(0.263385\pi\)
\(42\) 3.86536 + 1.13497i 0.596438 + 0.175130i
\(43\) 5.10405 1.49868i 0.778360 0.228547i 0.131663 0.991294i \(-0.457968\pi\)
0.646697 + 0.762747i \(0.276150\pi\)
\(44\) −0.146315 0.163722i −0.0220578 0.0246820i
\(45\) 10.3033 + 3.02532i 1.53592 + 0.450988i
\(46\) −6.40331 4.11516i −0.944116 0.606747i
\(47\) −2.84451 6.22861i −0.414915 0.908537i −0.995538 0.0943641i \(-0.969918\pi\)
0.580623 0.814173i \(-0.302809\pi\)
\(48\) −0.376007 + 2.61519i −0.0542720 + 0.377470i
\(49\) −11.6810 + 3.42985i −1.66871 + 0.489978i
\(50\) −14.7347 + 9.46938i −2.08379 + 1.33917i
\(51\) −1.60723 1.03290i −0.225057 0.144636i
\(52\) −0.00875518 + 0.0608936i −0.00121413 + 0.00844443i
\(53\) 1.28928 + 8.96711i 0.177096 + 1.23173i 0.863440 + 0.504451i \(0.168305\pi\)
−0.686345 + 0.727276i \(0.740786\pi\)
\(54\) −2.13654 + 4.67838i −0.290747 + 0.636647i
\(55\) −13.2498 3.67108i −1.78661 0.495008i
\(56\) −5.05635 11.0719i −0.675683 1.47954i
\(57\) 0.471092 0.302753i 0.0623977 0.0401006i
\(58\) 0.495918 + 3.44918i 0.0651172 + 0.452900i
\(59\) −2.63232 5.76399i −0.342700 0.750407i 0.657295 0.753633i \(-0.271700\pi\)
−0.999995 + 0.00322587i \(0.998973\pi\)
\(60\) −0.0729703 0.159783i −0.00942042 0.0206278i
\(61\) −3.69025 8.08052i −0.472488 1.03460i −0.984461 0.175603i \(-0.943813\pi\)
0.511973 0.859001i \(-0.328915\pi\)
\(62\) −0.948821 2.07763i −0.120500 0.263859i
\(63\) −1.61424 11.2273i −0.203375 1.41450i
\(64\) 6.49275 4.17263i 0.811593 0.521579i
\(65\) 1.60025 + 3.50406i 0.198486 + 0.434625i
\(66\) 1.22491 2.79466i 0.150776 0.343999i
\(67\) −2.62345 + 5.74455i −0.320505 + 0.701808i −0.999476 0.0323564i \(-0.989699\pi\)
0.678971 + 0.734165i \(0.262426\pi\)
\(68\) −0.0281243 0.195609i −0.00341058 0.0237211i
\(69\) 0.482331 3.35468i 0.0580658 0.403857i
\(70\) 21.9506 + 14.1068i 2.62360 + 1.68608i
\(71\) −3.45927 + 2.22314i −0.410539 + 0.263838i −0.729569 0.683907i \(-0.760279\pi\)
0.319030 + 0.947745i \(0.396643\pi\)
\(72\) 6.90873 2.02859i 0.814202 0.239071i
\(73\) 0.847223 5.89257i 0.0991600 0.689673i −0.878232 0.478236i \(-0.841277\pi\)
0.977392 0.211437i \(-0.0678144\pi\)
\(74\) −2.87758 6.30102i −0.334512 0.732479i
\(75\) −6.56080 4.21637i −0.757576 0.486865i
\(76\) 0.0555779 + 0.0163191i 0.00637522 + 0.00187193i
\(77\) 2.28671 + 14.3418i 0.260595 + 1.63440i
\(78\) −0.820281 + 0.240856i −0.0928785 + 0.0272716i
\(79\) 2.78807 + 0.818652i 0.313683 + 0.0921056i 0.434785 0.900535i \(-0.356825\pi\)
−0.121102 + 0.992640i \(0.538643\pi\)
\(80\) −7.10885 + 15.5662i −0.794794 + 1.74036i
\(81\) 5.48100 0.609000
\(82\) −4.68376 5.40535i −0.517235 0.596921i
\(83\) 0.586961 + 4.08241i 0.0644274 + 0.448102i 0.996344 + 0.0854301i \(0.0272264\pi\)
−0.931917 + 0.362672i \(0.881864\pi\)
\(84\) −0.121505 + 0.140225i −0.0132573 + 0.0152998i
\(85\) −8.10348 9.35191i −0.878946 1.01436i
\(86\) −1.08820 + 7.56862i −0.117344 + 0.816145i
\(87\) −1.30528 + 0.838852i −0.139941 + 0.0899344i
\(88\) −8.80495 + 2.73250i −0.938611 + 0.291286i
\(89\) 6.74142 + 4.33245i 0.714589 + 0.459238i 0.846751 0.531990i \(-0.178556\pi\)
−0.132162 + 0.991228i \(0.542192\pi\)
\(90\) −10.1081 + 11.6654i −1.06549 + 1.22964i
\(91\) 2.66463 3.07515i 0.279329 0.322363i
\(92\) 0.294919 0.189533i 0.0307474 0.0197602i
\(93\) 0.665991 0.768594i 0.0690600 0.0796995i
\(94\) 9.84265 1.01519
\(95\) 3.48010 1.02185i 0.357051 0.104840i
\(96\) −0.201564 0.129538i −0.0205721 0.0132209i
\(97\) 8.12344 2.38526i 0.824810 0.242186i 0.158024 0.987435i \(-0.449488\pi\)
0.666786 + 0.745249i \(0.267669\pi\)
\(98\) 2.49043 17.3213i 0.251571 1.74972i
\(99\) −8.59023 + 0.131558i −0.863350 + 0.0132221i
\(100\) −0.114805 0.798487i −0.0114805 0.0798487i
\(101\) 5.01178 + 10.9743i 0.498691 + 1.09198i 0.976893 + 0.213731i \(0.0685615\pi\)
−0.478202 + 0.878250i \(0.658711\pi\)
\(102\) 2.31028 1.48473i 0.228752 0.147010i
\(103\) 1.61976 3.54677i 0.159599 0.349474i −0.812891 0.582415i \(-0.802108\pi\)
0.972491 + 0.232941i \(0.0748351\pi\)
\(104\) 2.17297 + 1.39649i 0.213078 + 0.136937i
\(105\) −1.65343 + 11.4999i −0.161359 + 1.12227i
\(106\) −12.4946 3.66876i −1.21359 0.356341i
\(107\) 16.2899 + 4.78314i 1.57480 + 0.462404i 0.948395 0.317091i \(-0.102706\pi\)
0.626408 + 0.779495i \(0.284524\pi\)
\(108\) −0.155123 0.179022i −0.0149267 0.0172264i
\(109\) 0.107951 + 0.124583i 0.0103399 + 0.0119329i 0.760896 0.648874i \(-0.224760\pi\)
−0.750556 + 0.660807i \(0.770214\pi\)
\(110\) 12.7119 15.1325i 1.21204 1.44283i
\(111\) 2.01981 2.33099i 0.191712 0.221248i
\(112\) 18.0759 1.70801
\(113\) −15.9767 + 4.69117i −1.50296 + 0.441308i −0.926650 0.375925i \(-0.877325\pi\)
−0.576307 + 0.817233i \(0.695507\pi\)
\(114\) 0.114556 + 0.796751i 0.0107291 + 0.0746226i
\(115\) 9.11902 19.9679i 0.850353 1.86201i
\(116\) −0.153992 0.0452163i −0.0142978 0.00419822i
\(117\) 1.57630 + 1.81915i 0.145729 + 0.168180i
\(118\) 9.10844 0.838500
\(119\) −5.42984 + 11.8897i −0.497753 + 1.08993i
\(120\) −7.37524 −0.673264
\(121\) 10.9948 0.336849i 0.999531 0.0306226i
\(122\) 12.7691 1.15606
\(123\) 1.32296 2.89687i 0.119287 0.261202i
\(124\) 0.105196 0.00944690
\(125\) −19.5053 22.5103i −1.74461 2.01338i
\(126\) 15.6439 + 4.59347i 1.39367 + 0.409219i
\(127\) −2.13679 + 4.67892i −0.189610 + 0.415187i −0.980432 0.196859i \(-0.936926\pi\)
0.790822 + 0.612046i \(0.209653\pi\)
\(128\) 1.68539 + 11.7222i 0.148969 + 1.03610i
\(129\) −3.26677 + 0.959210i −0.287623 + 0.0844538i
\(130\) −5.53722 −0.485647
\(131\) 8.16211 9.41957i 0.713127 0.822992i −0.277336 0.960773i \(-0.589452\pi\)
0.990463 + 0.137781i \(0.0439970\pi\)
\(132\) 0.0936466 + 0.104788i 0.00815089 + 0.00912059i
\(133\) −2.50889 2.89542i −0.217549 0.251064i
\(134\) −5.94464 6.86048i −0.513539 0.592656i
\(135\) −14.2318 4.17884i −1.22488 0.359657i
\(136\) −7.96135 2.33766i −0.682680 0.200453i
\(137\) −0.966747 + 6.72387i −0.0825947 + 0.574459i 0.905933 + 0.423421i \(0.139171\pi\)
−0.988528 + 0.151038i \(0.951738\pi\)
\(138\) 4.09834 + 2.63385i 0.348874 + 0.224208i
\(139\) −0.862311 + 1.88820i −0.0731402 + 0.160155i −0.942671 0.333725i \(-0.891694\pi\)
0.869530 + 0.493880i \(0.164422\pi\)
\(140\) −1.01098 + 0.649720i −0.0854438 + 0.0549114i
\(141\) 1.82059 + 3.98653i 0.153321 + 0.335727i
\(142\) −0.841190 5.85060i −0.0705911 0.490972i
\(143\) −2.05368 2.29801i −0.171738 0.192169i
\(144\) −1.52178 + 10.5842i −0.126815 + 0.882018i
\(145\) −9.64250 + 2.83129i −0.800766 + 0.235126i
\(146\) 7.19882 + 4.62640i 0.595778 + 0.382884i
\(147\) 7.47624 2.19522i 0.616630 0.181059i
\(148\) 0.319039 0.0262248
\(149\) 2.35434 2.71705i 0.192875 0.222590i −0.651072 0.759016i \(-0.725681\pi\)
0.843947 + 0.536426i \(0.180226\pi\)
\(150\) 9.43069 6.06074i 0.770013 0.494857i
\(151\) −10.6088 + 12.2432i −0.863333 + 0.996339i 0.136651 + 0.990619i \(0.456366\pi\)
−0.999984 + 0.00572015i \(0.998179\pi\)
\(152\) 1.59265 1.83802i 0.129181 0.149083i
\(153\) −6.50480 4.18038i −0.525882 0.337964i
\(154\) −20.1178 5.57395i −1.62114 0.449161i
\(155\) 5.54137 3.56122i 0.445094 0.286044i
\(156\) 0.00560363 0.0389741i 0.000448649 0.00312042i
\(157\) −2.74683 3.17001i −0.219221 0.252994i 0.635478 0.772119i \(-0.280803\pi\)
−0.854698 + 0.519125i \(0.826258\pi\)
\(158\) −2.73526 + 3.15665i −0.217605 + 0.251130i
\(159\) −0.825182 5.73927i −0.0654412 0.455153i
\(160\) −1.01627 1.17283i −0.0803428 0.0927206i
\(161\) −23.1872 −1.82741
\(162\) −3.27287 + 7.16659i −0.257141 + 0.563060i
\(163\) −4.15351 1.21958i −0.325328 0.0955250i 0.114990 0.993367i \(-0.463316\pi\)
−0.440319 + 0.897842i \(0.645134\pi\)
\(164\) 0.316072 0.0928071i 0.0246811 0.00724702i
\(165\) 8.48037 + 2.34962i 0.660196 + 0.182918i
\(166\) −5.68837 1.67026i −0.441503 0.129637i
\(167\) 12.0715 + 7.75790i 0.934123 + 0.600324i 0.916723 0.399524i \(-0.130825\pi\)
0.0174000 + 0.999849i \(0.494461\pi\)
\(168\) 3.23624 + 7.08638i 0.249681 + 0.546726i
\(169\) 1.72720 12.0130i 0.132862 0.924075i
\(170\) 17.0668 5.01125i 1.30896 0.384345i
\(171\) 1.90661 1.22530i 0.145802 0.0937013i
\(172\) −0.296268 0.190400i −0.0225902 0.0145179i
\(173\) −0.277129 + 1.92747i −0.0210697 + 0.146543i −0.997641 0.0686528i \(-0.978130\pi\)
0.976571 + 0.215196i \(0.0690390\pi\)
\(174\) −0.317405 2.20760i −0.0240624 0.167358i
\(175\) −22.1649 + 48.5344i −1.67551 + 3.66886i
\(176\) 1.74070 13.5800i 0.131210 1.02363i
\(177\) 1.68478 + 3.68915i 0.126636 + 0.277294i
\(178\) −9.69031 + 6.22759i −0.726320 + 0.466777i
\(179\) −2.76177 19.2085i −0.206424 1.43571i −0.784703 0.619872i \(-0.787184\pi\)
0.578279 0.815839i \(-0.303725\pi\)
\(180\) −0.295326 0.646673i −0.0220123 0.0482002i
\(181\) 7.97631 + 17.4657i 0.592874 + 1.29821i 0.933690 + 0.358083i \(0.116570\pi\)
−0.340815 + 0.940130i \(0.610703\pi\)
\(182\) 2.42972 + 5.32035i 0.180103 + 0.394371i
\(183\) 2.36189 + 5.17181i 0.174596 + 0.382312i
\(184\) −2.09478 14.5695i −0.154429 1.07408i
\(185\) 16.8059 10.8005i 1.23559 0.794066i
\(186\) 0.607279 + 1.32975i 0.0445278 + 0.0975023i
\(187\) 8.40956 + 5.22429i 0.614968 + 0.382038i
\(188\) −0.188318 + 0.412360i −0.0137345 + 0.0300744i
\(189\) 2.22972 + 15.5081i 0.162189 + 1.12805i
\(190\) −0.741971 + 5.16052i −0.0538283 + 0.374384i
\(191\) 5.02536 + 3.22960i 0.363622 + 0.233686i 0.709675 0.704529i \(-0.248842\pi\)
−0.346053 + 0.938215i \(0.612478\pi\)
\(192\) −4.15559 + 2.67063i −0.299904 + 0.192736i
\(193\) −3.95977 + 1.16269i −0.285030 + 0.0836925i −0.421123 0.907004i \(-0.638364\pi\)
0.136092 + 0.990696i \(0.456546\pi\)
\(194\) −1.73195 + 12.0460i −0.124347 + 0.864850i
\(195\) −1.02422 2.24272i −0.0733456 0.160604i
\(196\) 0.678030 + 0.435744i 0.0484307 + 0.0311245i
\(197\) −2.55237 0.749442i −0.181849 0.0533955i 0.189540 0.981873i \(-0.439300\pi\)
−0.371389 + 0.928477i \(0.621118\pi\)
\(198\) 4.95746 11.3106i 0.352312 0.803806i
\(199\) 16.6037 4.87527i 1.17700 0.345599i 0.365984 0.930621i \(-0.380732\pi\)
0.811017 + 0.585022i \(0.198914\pi\)
\(200\) −32.4987 9.54247i −2.29800 0.674754i
\(201\) 1.67910 3.67671i 0.118435 0.259335i
\(202\) −17.3419 −1.22017
\(203\) 6.95152 + 8.02248i 0.487901 + 0.563067i
\(204\) 0.0180006 + 0.125197i 0.00126029 + 0.00876552i
\(205\) 13.5078 15.5888i 0.943423 1.08877i
\(206\) 3.67031 + 4.23577i 0.255723 + 0.295120i
\(207\) 1.95209 13.5771i 0.135680 0.943674i
\(208\) −3.22700 + 2.07387i −0.223752 + 0.143797i
\(209\) −2.41686 + 1.60604i −0.167178 + 0.111092i
\(210\) −14.0492 9.02884i −0.969484 0.623049i
\(211\) 9.05592 10.4511i 0.623435 0.719482i −0.352920 0.935653i \(-0.614811\pi\)
0.976356 + 0.216171i \(0.0693568\pi\)
\(212\) 0.392762 0.453271i 0.0269750 0.0311308i
\(213\) 2.21405 1.42289i 0.151704 0.0974945i
\(214\) −15.9813 + 18.4434i −1.09246 + 1.26076i
\(215\) −22.0520 −1.50393
\(216\) −9.54294 + 2.80206i −0.649315 + 0.190656i
\(217\) −5.85329 3.76168i −0.397347 0.255359i
\(218\) −0.227357 + 0.0667580i −0.0153986 + 0.00452142i
\(219\) −0.542253 + 3.77145i −0.0366420 + 0.254851i
\(220\) 0.390762 + 0.822097i 0.0263452 + 0.0554257i
\(221\) −0.394755 2.74558i −0.0265541 0.184688i
\(222\) 1.84175 + 4.03288i 0.123610 + 0.270669i
\(223\) 7.83837 5.03741i 0.524896 0.337330i −0.251210 0.967933i \(-0.580829\pi\)
0.776106 + 0.630602i \(0.217192\pi\)
\(224\) −0.680962 + 1.49110i −0.0454987 + 0.0996283i
\(225\) −26.5529 17.0645i −1.77020 1.13764i
\(226\) 3.40628 23.6912i 0.226583 1.57592i
\(227\) 10.3690 + 3.04462i 0.688215 + 0.202078i 0.607099 0.794626i \(-0.292333\pi\)
0.0811166 + 0.996705i \(0.474151\pi\)
\(228\) −0.0355718 0.0104448i −0.00235580 0.000691725i
\(229\) −4.30981 4.97378i −0.284800 0.328677i 0.595265 0.803529i \(-0.297047\pi\)
−0.880065 + 0.474852i \(0.842501\pi\)
\(230\) 20.6634 + 23.8468i 1.36250 + 1.57241i
\(231\) −1.46358 9.17923i −0.0962963 0.603949i
\(232\) −4.41285 + 5.09270i −0.289718 + 0.334352i
\(233\) 25.1261 1.64607 0.823034 0.567993i \(-0.192280\pi\)
0.823034 + 0.567993i \(0.192280\pi\)
\(234\) −3.31985 + 0.974795i −0.217025 + 0.0637243i
\(235\) 4.03972 + 28.0968i 0.263522 + 1.83284i
\(236\) −0.174271 + 0.381600i −0.0113441 + 0.0248400i
\(237\) −1.78447 0.523966i −0.115914 0.0340353i
\(238\) −12.3038 14.1994i −0.797540 0.920410i
\(239\) 17.5819 1.13728 0.568641 0.822586i \(-0.307469\pi\)
0.568641 + 0.822586i \(0.307469\pi\)
\(240\) 4.54992 9.96293i 0.293696 0.643104i
\(241\) 5.16052 0.332418 0.166209 0.986091i \(-0.446847\pi\)
0.166209 + 0.986091i \(0.446847\pi\)
\(242\) −6.12491 + 14.5772i −0.393724 + 0.937061i
\(243\) −14.2421 −0.913632
\(244\) −0.244309 + 0.534963i −0.0156403 + 0.0342475i
\(245\) 50.4676 3.22426
\(246\) 2.99777 + 3.45962i 0.191131 + 0.220577i
\(247\) 0.780095 + 0.229057i 0.0496363 + 0.0145745i
\(248\) 1.83483 4.01771i 0.116512 0.255125i
\(249\) −0.375676 2.61288i −0.0238075 0.165585i
\(250\) 41.0801 12.0622i 2.59813 0.762881i
\(251\) −17.6264 −1.11257 −0.556286 0.830991i \(-0.687774\pi\)
−0.556286 + 0.830991i \(0.687774\pi\)
\(252\) −0.491757 + 0.567518i −0.0309778 + 0.0357503i
\(253\) −2.23292 + 17.4200i −0.140382 + 1.09519i
\(254\) −4.84190 5.58785i −0.303808 0.350613i
\(255\) 5.18651 + 5.98555i 0.324792 + 0.374830i
\(256\) −1.52288 0.447159i −0.0951803 0.0279475i
\(257\) −23.9084 7.02015i −1.49137 0.437905i −0.568389 0.822760i \(-0.692433\pi\)
−0.922977 + 0.384855i \(0.874251\pi\)
\(258\) 0.696488 4.84418i 0.0433614 0.301585i
\(259\) −17.7518 11.4084i −1.10305 0.708884i
\(260\) 0.105943 0.231983i 0.00657031 0.0143870i
\(261\) −5.28274 + 3.39501i −0.326993 + 0.210146i
\(262\) 7.44256 + 16.2969i 0.459803 + 1.00683i
\(263\) −2.53757 17.6492i −0.156473 1.08830i −0.905068 0.425267i \(-0.860180\pi\)
0.748595 0.663028i \(-0.230729\pi\)
\(264\) 5.63548 1.74890i 0.346840 0.107637i
\(265\) 5.34467 37.1730i 0.328320 2.28352i
\(266\) 5.28398 1.55152i 0.323982 0.0951296i
\(267\) −4.31474 2.77292i −0.264058 0.169700i
\(268\) 0.401159 0.117791i 0.0245047 0.00719523i
\(269\) 9.85449 0.600839 0.300419 0.953807i \(-0.402873\pi\)
0.300419 + 0.953807i \(0.402873\pi\)
\(270\) 13.9622 16.1132i 0.849712 0.980620i
\(271\) −15.6275 + 10.0432i −0.949304 + 0.610081i −0.921018 0.389519i \(-0.872641\pi\)
−0.0282857 + 0.999600i \(0.509005\pi\)
\(272\) 8.06935 9.31253i 0.489276 0.564655i
\(273\) −1.70546 + 1.96820i −0.103219 + 0.119121i
\(274\) −8.21440 5.27908i −0.496250 0.318921i
\(275\) 34.3283 + 21.3258i 2.07007 + 1.28600i
\(276\) −0.188758 + 0.121308i −0.0113619 + 0.00730187i
\(277\) 0.719574 5.00475i 0.0432350 0.300706i −0.956718 0.291016i \(-0.906007\pi\)
0.999953 0.00968966i \(-0.00308436\pi\)
\(278\) −1.95397 2.25500i −0.117191 0.135246i
\(279\) 2.69540 3.11066i 0.161369 0.186230i
\(280\) 7.18092 + 49.9444i 0.429142 + 2.98475i
\(281\) 20.5195 + 23.6807i 1.22409 + 1.41267i 0.880830 + 0.473433i \(0.156985\pi\)
0.343259 + 0.939241i \(0.388469\pi\)
\(282\) −6.29965 −0.375138
\(283\) 1.27578 2.79357i 0.0758374 0.166061i −0.867916 0.496711i \(-0.834541\pi\)
0.943753 + 0.330650i \(0.107268\pi\)
\(284\) 0.261206 + 0.0766971i 0.0154997 + 0.00455114i
\(285\) −2.22739 + 0.654020i −0.131939 + 0.0387408i
\(286\) 4.23104 1.31305i 0.250186 0.0776421i
\(287\) −20.9054 6.13839i −1.23401 0.362337i
\(288\) −0.815773 0.524266i −0.0480699 0.0308926i
\(289\) −3.36056 7.35860i −0.197680 0.432859i
\(290\) 2.05582 14.2985i 0.120722 0.839639i
\(291\) −5.19929 + 1.52665i −0.304788 + 0.0894937i
\(292\) −0.331558 + 0.213079i −0.0194030 + 0.0124695i
\(293\) −26.1007 16.7739i −1.52482 0.979940i −0.990929 0.134385i \(-0.957094\pi\)
−0.533888 0.845555i \(-0.679269\pi\)
\(294\) −1.59396 + 11.0863i −0.0929618 + 0.646563i
\(295\) 3.73837 + 26.0010i 0.217656 + 1.51383i
\(296\) 5.56465 12.1849i 0.323439 0.708232i
\(297\) 11.8656 0.181720i 0.688510 0.0105445i
\(298\) 2.14679 + 4.70081i 0.124360 + 0.272310i
\(299\) 4.13950 2.66030i 0.239394 0.153849i
\(300\) 0.0734793 + 0.511060i 0.00424233 + 0.0295061i
\(301\) 9.67638 + 21.1883i 0.557737 + 1.22127i
\(302\) −9.67357 21.1822i −0.556651 1.21890i
\(303\) −3.20772 7.02392i −0.184278 0.403514i
\(304\) 1.50038 + 3.28536i 0.0860524 + 0.188429i
\(305\) 5.24081 + 36.4507i 0.300088 + 2.08716i
\(306\) 9.35019 6.00900i 0.534515 0.343512i
\(307\) 2.48320 + 5.43746i 0.141724 + 0.310332i 0.967162 0.254161i \(-0.0817992\pi\)
−0.825438 + 0.564493i \(0.809072\pi\)
\(308\) 0.618433 0.736192i 0.0352385 0.0419484i
\(309\) −1.03670 + 2.27006i −0.0589759 + 0.129139i
\(310\) 1.34749 + 9.37203i 0.0765326 + 0.532296i
\(311\) −1.70324 + 11.8463i −0.0965819 + 0.671742i 0.882804 + 0.469742i \(0.155653\pi\)
−0.979386 + 0.202000i \(0.935256\pi\)
\(312\) −1.39078 0.893800i −0.0787374 0.0506014i
\(313\) −17.6687 + 11.3550i −0.998692 + 0.641821i −0.934443 0.356113i \(-0.884102\pi\)
−0.0642494 + 0.997934i \(0.520465\pi\)
\(314\) 5.78510 1.69866i 0.326472 0.0958608i
\(315\) −6.69179 + 46.5424i −0.377040 + 2.62237i
\(316\) −0.0799152 0.174990i −0.00449558 0.00984395i
\(317\) −8.39466 5.39492i −0.471491 0.303009i 0.283233 0.959051i \(-0.408593\pi\)
−0.754724 + 0.656042i \(0.772229\pi\)
\(318\) 7.99701 + 2.34814i 0.448450 + 0.131677i
\(319\) 6.69653 4.44995i 0.374933 0.249149i
\(320\) −30.6986 + 9.01392i −1.71610 + 0.503893i
\(321\) −10.4261 3.06138i −0.581928 0.170870i
\(322\) 13.8458 30.3180i 0.771595 1.68956i
\(323\) −2.61170 −0.145319
\(324\) −0.237626 0.274235i −0.0132014 0.0152353i
\(325\) −1.61141 11.2076i −0.0893851 0.621687i
\(326\) 4.07483 4.70260i 0.225684 0.260453i
\(327\) −0.0690927 0.0797373i −0.00382084 0.00440948i
\(328\) 1.96837 13.6903i 0.108685 0.755921i
\(329\) 25.2238 16.2103i 1.39063 0.893705i
\(330\) −8.13608 + 9.68533i −0.447877 + 0.533160i
\(331\) −1.91232 1.22897i −0.105111 0.0675505i 0.487029 0.873386i \(-0.338080\pi\)
−0.592140 + 0.805835i \(0.701717\pi\)
\(332\) 0.178811 0.206358i 0.00981350 0.0113254i
\(333\) 8.17461 9.43400i 0.447966 0.516980i
\(334\) −17.3520 + 11.1514i −0.949457 + 0.610179i
\(335\) 17.1441 19.7853i 0.936681 1.08099i
\(336\) −11.5692 −0.631152
\(337\) 23.8313 6.99750i 1.29817 0.381178i 0.441604 0.897210i \(-0.354410\pi\)
0.856569 + 0.516032i \(0.172591\pi\)
\(338\) 14.6760 + 9.43168i 0.798268 + 0.513016i
\(339\) 10.2256 3.00251i 0.555379 0.163074i
\(340\) −0.116589 + 0.810894i −0.00632292 + 0.0439769i
\(341\) −3.38973 + 4.03519i −0.183564 + 0.218518i
\(342\) 0.463630 + 3.22462i 0.0250702 + 0.174367i
\(343\) −9.41187 20.6091i −0.508193 1.11279i
\(344\) −12.4393 + 7.99427i −0.670684 + 0.431022i
\(345\) −5.83649 + 12.7801i −0.314226 + 0.688060i
\(346\) −2.35475 1.51331i −0.126592 0.0813559i
\(347\) 4.26283 29.6486i 0.228841 1.59162i −0.474165 0.880436i \(-0.657250\pi\)
0.703005 0.711185i \(-0.251841\pi\)
\(348\) 0.0985606 + 0.0289400i 0.00528340 + 0.00155135i
\(349\) 1.64329 + 0.482513i 0.0879632 + 0.0258283i 0.325418 0.945570i \(-0.394495\pi\)
−0.237455 + 0.971399i \(0.576313\pi\)
\(350\) −50.2250 57.9627i −2.68464 3.09824i
\(351\) −2.17732 2.51276i −0.116217 0.134121i
\(352\) 1.05465 + 0.655183i 0.0562131 + 0.0349214i
\(353\) −11.2637 + 12.9990i −0.599504 + 0.691865i −0.971681 0.236297i \(-0.924066\pi\)
0.372177 + 0.928162i \(0.378612\pi\)
\(354\) −5.82972 −0.309846
\(355\) 16.3559 4.80252i 0.868080 0.254891i
\(356\) −0.0755021 0.525129i −0.00400160 0.0278318i
\(357\) 3.47529 7.60983i 0.183932 0.402755i
\(358\) 26.7649 + 7.85888i 1.41457 + 0.415355i
\(359\) −7.52745 8.68714i −0.397284 0.458490i 0.521500 0.853251i \(-0.325373\pi\)
−0.918784 + 0.394761i \(0.870827\pi\)
\(360\) −29.8491 −1.57319
\(361\) −7.57488 + 16.5867i −0.398678 + 0.872983i
\(362\) −27.5998 −1.45061
\(363\) −7.03709 + 0.215595i −0.369351 + 0.0113158i
\(364\) −0.269385 −0.0141196
\(365\) −10.2519 + 22.4486i −0.536610 + 1.17501i
\(366\) −8.17267 −0.427192
\(367\) 0.445749 + 0.514422i 0.0232679 + 0.0268526i 0.767264 0.641331i \(-0.221617\pi\)
−0.743996 + 0.668184i \(0.767072\pi\)
\(368\) 20.9737 + 6.15843i 1.09333 + 0.321031i
\(369\) 5.35428 11.7242i 0.278733 0.610339i
\(370\) 4.08668 + 28.4235i 0.212456 + 1.47767i
\(371\) −38.0623 + 11.1761i −1.97610 + 0.580234i
\(372\) −0.0673293 −0.00349086
\(373\) −25.0835 + 28.9479i −1.29878 + 1.49887i −0.551885 + 0.833920i \(0.686091\pi\)
−0.746891 + 0.664947i \(0.768454\pi\)
\(374\) −11.8525 + 7.87619i −0.612879 + 0.407268i
\(375\) 12.4841 + 14.4074i 0.644674 + 0.743994i
\(376\) 12.4644 + 14.3847i 0.642803 + 0.741834i
\(377\) −2.16145 0.634659i −0.111320 0.0326866i
\(378\) −21.6087 6.34490i −1.11143 0.326346i
\(379\) 0.326129 2.26828i 0.0167521 0.116514i −0.979730 0.200325i \(-0.935800\pi\)
0.996482 + 0.0838113i \(0.0267093\pi\)
\(380\) −0.202005 0.129821i −0.0103626 0.00665966i
\(381\) 1.36762 2.99467i 0.0700654 0.153422i
\(382\) −7.22361 + 4.64233i −0.369592 + 0.237522i
\(383\) −5.36739 11.7529i −0.274261 0.600547i 0.721512 0.692402i \(-0.243448\pi\)
−0.995772 + 0.0918550i \(0.970720\pi\)
\(384\) −1.07871 7.50260i −0.0550477 0.382865i
\(385\) 7.65446 59.7159i 0.390107 3.04341i
\(386\) 0.844238 5.87180i 0.0429706 0.298867i
\(387\) −13.2213 + 3.88212i −0.672076 + 0.197339i
\(388\) −0.471531 0.303034i −0.0239383 0.0153842i
\(389\) 5.84861 1.71731i 0.296536 0.0870708i −0.130080 0.991503i \(-0.541524\pi\)
0.426617 + 0.904433i \(0.359705\pi\)
\(390\) 3.54402 0.179458
\(391\) −10.3511 + 11.9458i −0.523479 + 0.604127i
\(392\) 28.4683 18.2955i 1.43787 0.924061i
\(393\) −5.22404 + 6.02886i −0.263518 + 0.304116i
\(394\) 2.50401 2.88979i 0.126150 0.145585i
\(395\) −10.1336 6.51248i −0.509878 0.327678i
\(396\) 0.379007 + 0.424097i 0.0190458 + 0.0213117i
\(397\) −15.2127 + 9.77662i −0.763504 + 0.490674i −0.863522 0.504311i \(-0.831746\pi\)
0.100018 + 0.994986i \(0.468110\pi\)
\(398\) −3.53996 + 24.6210i −0.177442 + 1.23414i
\(399\) 1.60578 + 1.85317i 0.0803895 + 0.0927744i
\(400\) 32.9395 38.0143i 1.64698 1.90071i
\(401\) −0.192754 1.34063i −0.00962566 0.0669480i 0.984442 0.175707i \(-0.0562213\pi\)
−0.994068 + 0.108759i \(0.965312\pi\)
\(402\) 3.80478 + 4.39095i 0.189765 + 0.219001i
\(403\) 1.47654 0.0735518
\(404\) 0.331800 0.726542i 0.0165077 0.0361468i
\(405\) −21.8010 6.40136i −1.08330 0.318086i
\(406\) −14.6406 + 4.29887i −0.726601 + 0.213349i
\(407\) −10.2804 + 12.2379i −0.509579 + 0.606611i
\(408\) 5.09554 + 1.49619i 0.252267 + 0.0740722i
\(409\) −10.4346 6.70591i −0.515958 0.331586i 0.256613 0.966514i \(-0.417393\pi\)
−0.772571 + 0.634928i \(0.781030\pi\)
\(410\) 12.3170 + 26.9704i 0.608291 + 1.33197i
\(411\) 0.618752 4.30351i 0.0305208 0.212277i
\(412\) −0.247682 + 0.0727259i −0.0122024 + 0.00358295i
\(413\) 23.3422 15.0011i 1.14859 0.738157i
\(414\) 16.5868 + 10.6597i 0.815199 + 0.523897i
\(415\) 2.43324 16.9235i 0.119443 0.830744i
\(416\) −0.0495067 0.344326i −0.00242726 0.0168820i
\(417\) 0.551909 1.20851i 0.0270271 0.0591811i
\(418\) −0.656774 4.11914i −0.0321239 0.201474i
\(419\) 15.4796 + 33.8957i 0.756230 + 1.65591i 0.754836 + 0.655914i \(0.227716\pi\)
0.00139413 + 0.999999i \(0.499556\pi\)
\(420\) 0.647066 0.415844i 0.0315736 0.0202911i
\(421\) 3.05832 + 21.2711i 0.149053 + 1.03669i 0.917774 + 0.397103i \(0.129985\pi\)
−0.768721 + 0.639585i \(0.779106\pi\)
\(422\) 8.25757 + 18.0816i 0.401972 + 0.880196i
\(423\) 7.36830 + 16.1343i 0.358259 + 0.784477i
\(424\) −10.4610 22.9065i −0.508033 1.11244i
\(425\) 15.1097 + 33.0856i 0.732928 + 1.60489i
\(426\) 0.538391 + 3.74459i 0.0260851 + 0.181426i
\(427\) 32.7234 21.0300i 1.58359 1.01771i
\(428\) −0.466921 1.02241i −0.0225695 0.0494203i
\(429\) 1.31443 + 1.47081i 0.0634613 + 0.0710112i
\(430\) 13.1679 28.8337i 0.635013 1.39048i
\(431\) −0.366308 2.54773i −0.0176444 0.122720i 0.979096 0.203401i \(-0.0651995\pi\)
−0.996740 + 0.0806812i \(0.974290\pi\)
\(432\) 2.10201 14.6198i 0.101133 0.703397i
\(433\) −29.7185 19.0989i −1.42818 0.917837i −0.999899 0.0141922i \(-0.995482\pi\)
−0.428283 0.903645i \(-0.640881\pi\)
\(434\) 8.41369 5.40715i 0.403870 0.259551i
\(435\) 6.17154 1.81213i 0.295903 0.0868849i
\(436\) 0.00155315 0.0108024i 7.43826e−5 0.000517342i
\(437\) −1.92464 4.21436i −0.0920678 0.201600i
\(438\) −4.60750 2.96106i −0.220155 0.141485i
\(439\) 18.4201 + 5.40864i 0.879146 + 0.258140i 0.690001 0.723809i \(-0.257610\pi\)
0.189145 + 0.981949i \(0.439428\pi\)
\(440\) 38.2136 0.585237i 1.82176 0.0279001i
\(441\) 30.2579 8.88452i 1.44085 0.423072i
\(442\) 3.82566 + 1.12331i 0.181968 + 0.0534306i
\(443\) 6.59787 14.4473i 0.313474 0.686413i −0.685664 0.727918i \(-0.740488\pi\)
0.999138 + 0.0415051i \(0.0132153\pi\)
\(444\) −0.204196 −0.00969072
\(445\) −21.7545 25.1060i −1.03126 1.19014i
\(446\) 1.90606 + 13.2569i 0.0902543 + 0.627733i
\(447\) −1.50686 + 1.73901i −0.0712720 + 0.0822523i
\(448\) 22.1314 + 25.5410i 1.04561 + 1.20670i
\(449\) −2.15607 + 14.9958i −0.101751 + 0.707695i 0.873537 + 0.486758i \(0.161821\pi\)
−0.975288 + 0.220937i \(0.929088\pi\)
\(450\) 38.1680 24.5291i 1.79926 1.15631i
\(451\) −6.62481 + 15.1146i −0.311950 + 0.711720i
\(452\) 0.927376 + 0.595988i 0.0436201 + 0.0280329i
\(453\) 6.79001 7.83609i 0.319023 0.368172i
\(454\) −10.1726 + 11.7398i −0.477423 + 0.550975i
\(455\) −14.1902 + 9.11952i −0.665249 + 0.427530i
\(456\) −1.01935 + 1.17640i −0.0477357 + 0.0550899i
\(457\) −2.11114 −0.0987550 −0.0493775 0.998780i \(-0.515724\pi\)
−0.0493775 + 0.998780i \(0.515724\pi\)
\(458\) 9.07689 2.66522i 0.424135 0.124537i
\(459\) 8.98499 + 5.77430i 0.419383 + 0.269521i
\(460\) −1.39442 + 0.409438i −0.0650150 + 0.0190901i
\(461\) −3.06151 + 21.2933i −0.142589 + 0.991727i 0.785365 + 0.619033i \(0.212475\pi\)
−0.927954 + 0.372694i \(0.878434\pi\)
\(462\) 12.8761 + 3.56752i 0.599050 + 0.165976i
\(463\) −0.225625 1.56926i −0.0104857 0.0729295i 0.983907 0.178683i \(-0.0571837\pi\)
−0.994392 + 0.105753i \(0.966275\pi\)
\(464\) −4.15717 9.10292i −0.192992 0.422593i
\(465\) −3.54667 + 2.27931i −0.164473 + 0.105700i
\(466\) −15.0036 + 32.8532i −0.695027 + 1.52190i
\(467\) −10.7089 6.88218i −0.495548 0.318469i 0.268885 0.963172i \(-0.413345\pi\)
−0.764433 + 0.644703i \(0.776981\pi\)
\(468\) 0.0226790 0.157736i 0.00104834 0.00729136i
\(469\) −26.5332 7.79085i −1.22519 0.359748i
\(470\) −39.1498 11.4954i −1.80584 0.530244i
\(471\) 1.75807 + 2.02892i 0.0810074 + 0.0934875i
\(472\) 11.5346 + 13.3117i 0.530924 + 0.612719i
\(473\) 16.8501 5.22921i 0.774769 0.240439i
\(474\) 1.75066 2.02037i 0.0804105 0.0927987i
\(475\) −10.6611 −0.489164
\(476\) 0.830294 0.243796i 0.0380564 0.0111744i
\(477\) −3.33968 23.2280i −0.152914 1.06354i
\(478\) −10.4987 + 22.9890i −0.480200 + 1.05149i
\(479\) 15.1570 + 4.45050i 0.692541 + 0.203348i 0.609017 0.793157i \(-0.291564\pi\)
0.0835243 + 0.996506i \(0.473382\pi\)
\(480\) 0.650446 + 0.750654i 0.0296886 + 0.0342625i
\(481\) 4.47805 0.204182
\(482\) −3.08150 + 6.74755i −0.140359 + 0.307342i
\(483\) 14.8406 0.675272
\(484\) −0.493529 0.535509i −0.0224331 0.0243413i
\(485\) −35.0973 −1.59368
\(486\) 8.50439 18.6220i 0.385767 0.844712i
\(487\) −30.3488 −1.37523 −0.687617 0.726074i \(-0.741343\pi\)
−0.687617 + 0.726074i \(0.741343\pi\)
\(488\) 16.1704 + 18.6616i 0.731998 + 0.844770i
\(489\) 2.65839 + 0.780575i 0.120217 + 0.0352988i
\(490\) −30.1357 + 65.9880i −1.36139 + 2.98103i
\(491\) −0.973358 6.76985i −0.0439270 0.305519i −0.999926 0.0121498i \(-0.996133\pi\)
0.955999 0.293369i \(-0.0947766\pi\)
\(492\) −0.202297 + 0.0593998i −0.00912026 + 0.00267795i
\(493\) 7.23636 0.325909
\(494\) −0.765317 + 0.883223i −0.0344332 + 0.0397381i
\(495\) 34.3218 + 9.50939i 1.54265 + 0.427415i
\(496\) 4.29543 + 4.95719i 0.192870 + 0.222584i
\(497\) −11.7914 13.6080i −0.528915 0.610400i
\(498\) 3.64076 + 1.06902i 0.163146 + 0.0479040i
\(499\) 16.8501 + 4.94763i 0.754312 + 0.221486i 0.636211 0.771515i \(-0.280501\pi\)
0.118102 + 0.993001i \(0.462319\pi\)
\(500\) −0.280633 + 1.95184i −0.0125503 + 0.0872891i
\(501\) −7.72620 4.96533i −0.345181 0.221834i
\(502\) 10.5253 23.0471i 0.469766 1.02864i
\(503\) 20.7767 13.3524i 0.926388 0.595353i 0.0118835 0.999929i \(-0.496217\pi\)
0.914504 + 0.404576i \(0.132581\pi\)
\(504\) 13.0977 + 28.6801i 0.583420 + 1.27751i
\(505\) −7.11763 49.5042i −0.316730 2.20291i
\(506\) −21.4439 13.3216i −0.953297 0.592218i
\(507\) −1.10547 + 7.68872i −0.0490957 + 0.341468i
\(508\) 0.326743 0.0959405i 0.0144969 0.00425667i
\(509\) 3.03559 + 1.95085i 0.134550 + 0.0864701i 0.606184 0.795324i \(-0.292699\pi\)
−0.471634 + 0.881794i \(0.656336\pi\)
\(510\) −10.9233 + 3.20738i −0.483693 + 0.142025i
\(511\) 26.0679 1.15317
\(512\) −14.0166 + 16.1760i −0.619453 + 0.714887i
\(513\) −2.63357 + 1.69250i −0.116275 + 0.0747255i
\(514\) 23.4555 27.0691i 1.03458 1.19397i
\(515\) −10.5850 + 12.2158i −0.466432 + 0.538291i
\(516\) 0.189622 + 0.121863i 0.00834764 + 0.00536470i
\(517\) −9.74941 20.5111i −0.428779 0.902076i
\(518\) 25.5170 16.3988i 1.12115 0.720521i
\(519\) 0.177372 1.23365i 0.00778578 0.0541513i
\(520\) −7.01216 8.09246i −0.307503 0.354878i
\(521\) 22.1345 25.5446i 0.969732 1.11913i −0.0231151 0.999733i \(-0.507358\pi\)
0.992847 0.119397i \(-0.0380961\pi\)
\(522\) −1.28460 8.93461i −0.0562255 0.391057i
\(523\) −22.9769 26.5167i −1.00471 1.15949i −0.987174 0.159648i \(-0.948964\pi\)
−0.0175338 0.999846i \(-0.505581\pi\)
\(524\) −0.825160 −0.0360473
\(525\) 14.1863 31.0637i 0.619142 1.35573i
\(526\) 24.5921 + 7.22090i 1.07227 + 0.314846i
\(527\) −4.55098 + 1.33629i −0.198244 + 0.0582096i
\(528\) −1.11411 + 8.69168i −0.0484854 + 0.378257i
\(529\) −4.83609 1.42000i −0.210265 0.0617393i
\(530\) 45.4134 + 29.1854i 1.97263 + 1.26773i
\(531\) 6.81866 + 14.9308i 0.295904 + 0.647940i
\(532\) −0.0360967 + 0.251058i −0.00156499 + 0.0108848i
\(533\) 4.43641 1.30265i 0.192162 0.0564239i
\(534\) 6.20214 3.98587i 0.268393 0.172486i
\(535\) −59.2077 38.0505i −2.55977 1.64507i
\(536\) 2.49826 17.3758i 0.107908 0.750519i
\(537\) 1.76763 + 12.2941i 0.0762788 + 0.530531i
\(538\) −5.88441 + 12.8851i −0.253695 + 0.555514i
\(539\) −38.5627 + 11.9674i −1.66101 + 0.515474i
\(540\) 0.407930 + 0.893241i 0.0175545 + 0.0384390i
\(541\) 25.0335 16.0880i 1.07627 0.691679i 0.122580 0.992459i \(-0.460883\pi\)
0.953694 + 0.300779i \(0.0972468\pi\)
\(542\) −3.80014 26.4306i −0.163230 1.13529i
\(543\) −5.10512 11.1786i −0.219082 0.479722i
\(544\) 0.464208 + 1.01647i 0.0199028 + 0.0435810i
\(545\) −0.283881 0.621614i −0.0121601 0.0266270i
\(546\) −1.55511 3.40521i −0.0665525 0.145730i
\(547\) 0.767162 + 5.33573i 0.0328015 + 0.228139i 0.999627 0.0272970i \(-0.00868997\pi\)
−0.966826 + 0.255436i \(0.917781\pi\)
\(548\) 0.378333 0.243140i 0.0161616 0.0103864i
\(549\) 9.55905 + 20.9314i 0.407970 + 0.893331i
\(550\) −48.3826 + 32.1511i −2.06304 + 1.37093i
\(551\) −0.881111 + 1.92936i −0.0375366 + 0.0821936i
\(552\) 1.34073 + 9.32500i 0.0570654 + 0.396898i
\(553\) −1.81080 + 12.5944i −0.0770030 + 0.535568i
\(554\) 6.11419 + 3.92935i 0.259767 + 0.166942i
\(555\) −10.7563 + 6.91268i −0.456581 + 0.293427i
\(556\) 0.131858 0.0387171i 0.00559205 0.00164197i
\(557\) 6.20277 43.1412i 0.262820 1.82795i −0.248583 0.968611i \(-0.579965\pi\)
0.511403 0.859341i \(-0.329126\pi\)
\(558\) 2.45778 + 5.38179i 0.104046 + 0.227829i
\(559\) −4.15844 2.67247i −0.175883 0.113033i
\(560\) −71.8980 21.1112i −3.03825 0.892109i
\(561\) −5.38241 3.34373i −0.227246 0.141172i
\(562\) −43.2161 + 12.6894i −1.82296 + 0.535270i
\(563\) −12.2443 3.59526i −0.516037 0.151522i 0.0133364 0.999911i \(-0.495755\pi\)
−0.529373 + 0.848389i \(0.677573\pi\)
\(564\) 0.120530 0.263925i 0.00507524 0.0111132i
\(565\) 69.0270 2.90399
\(566\) 2.89088 + 3.33625i 0.121513 + 0.140233i
\(567\) 3.41561 + 23.7561i 0.143442 + 0.997661i
\(568\) 7.48520 8.63838i 0.314072 0.362458i
\(569\) −5.40371 6.23621i −0.226535 0.261436i 0.631091 0.775709i \(-0.282607\pi\)
−0.857627 + 0.514273i \(0.828062\pi\)
\(570\) 0.474888 3.30292i 0.0198909 0.138344i
\(571\) 18.6073 11.9582i 0.778691 0.500434i −0.0899079 0.995950i \(-0.528657\pi\)
0.868599 + 0.495516i \(0.165021\pi\)
\(572\) −0.0259416 + 0.202382i −0.00108467 + 0.00846203i
\(573\) −3.21641 2.06706i −0.134367 0.0863527i
\(574\) 20.5094 23.6691i 0.856045 0.987929i
\(575\) −42.2538 + 48.7635i −1.76211 + 2.03358i
\(576\) −16.8185 + 10.8086i −0.700772 + 0.450359i
\(577\) 2.24343 2.58906i 0.0933954 0.107784i −0.707128 0.707086i \(-0.750010\pi\)
0.800523 + 0.599302i \(0.204555\pi\)
\(578\) 11.6283 0.483673
\(579\) 2.53439 0.744164i 0.105326 0.0309264i
\(580\) 0.559706 + 0.359701i 0.0232405 + 0.0149358i
\(581\) −17.3284 + 5.08808i −0.718904 + 0.211089i
\(582\) 1.10851 7.70984i 0.0459491 0.319583i
\(583\) 4.73096 + 29.6716i 0.195936 + 1.22887i
\(584\) 2.35502 + 16.3795i 0.0974515 + 0.677790i
\(585\) −4.14521 9.07675i −0.171383 0.375277i
\(586\) 37.5179 24.1113i 1.54985 0.996027i
\(587\) −15.8688 + 34.7478i −0.654975 + 1.43420i 0.232156 + 0.972679i \(0.425422\pi\)
−0.887131 + 0.461517i \(0.847305\pi\)
\(588\) −0.433963 0.278891i −0.0178963 0.0115013i
\(589\) 0.197852 1.37609i 0.00815236 0.0567009i
\(590\) −36.2294 10.6379i −1.49154 0.437956i
\(591\) 1.63360 + 0.479669i 0.0671975 + 0.0197310i
\(592\) 13.0272 + 15.0342i 0.535413 + 0.617900i
\(593\) 26.4237 + 30.4946i 1.08509 + 1.25226i 0.965768 + 0.259407i \(0.0835271\pi\)
0.119324 + 0.992855i \(0.461927\pi\)
\(594\) −6.84768 + 15.6231i −0.280964 + 0.641025i
\(595\) 35.4837 40.9504i 1.45469 1.67880i
\(596\) −0.238015 −0.00974949
\(597\) −10.6269 + 3.12035i −0.434931 + 0.127707i
\(598\) 1.00660 + 7.00108i 0.0411630 + 0.286295i
\(599\) 4.91532 10.7630i 0.200834 0.439766i −0.782239 0.622979i \(-0.785922\pi\)
0.983073 + 0.183213i \(0.0586497\pi\)
\(600\) 20.8003 + 6.10751i 0.849168 + 0.249338i
\(601\) 28.1068 + 32.4370i 1.14650 + 1.32313i 0.938609 + 0.344982i \(0.112115\pi\)
0.207893 + 0.978152i \(0.433340\pi\)
\(602\) −33.4825 −1.36464
\(603\) 6.79566 14.8804i 0.276741 0.605978i
\(604\) 1.07251 0.0436399
\(605\) −44.1261 11.5012i −1.79398 0.467591i
\(606\) 11.0994 0.450883
\(607\) −20.3423 + 44.5434i −0.825667 + 1.80796i −0.311587 + 0.950218i \(0.600860\pi\)
−0.514081 + 0.857742i \(0.671867\pi\)
\(608\) −0.327536 −0.0132833
\(609\) −4.44921 5.13467i −0.180291 0.208067i
\(610\) −50.7898 14.9132i −2.05642 0.603820i
\(611\) −2.64325 + 5.78791i −0.106934 + 0.234154i
\(612\) 0.0728520 + 0.506697i 0.00294487 + 0.0204820i
\(613\) −5.29954 + 1.55609i −0.214047 + 0.0628497i −0.386998 0.922081i \(-0.626488\pi\)
0.172951 + 0.984930i \(0.444670\pi\)
\(614\) −8.59244 −0.346763
\(615\) −8.64544 + 9.97738i −0.348618 + 0.402327i
\(616\) −17.3304 36.4601i −0.698260 1.46902i
\(617\) −1.81487 2.09447i −0.0730638 0.0843201i 0.718041 0.696001i \(-0.245039\pi\)
−0.791105 + 0.611681i \(0.790494\pi\)
\(618\) −2.34913 2.71104i −0.0944958 0.109054i
\(619\) 29.7011 + 8.72102i 1.19379 + 0.350527i 0.817474 0.575965i \(-0.195374\pi\)
0.376313 + 0.926493i \(0.377192\pi\)
\(620\) −0.418424 0.122860i −0.0168043 0.00493419i
\(621\) −2.69640 + 18.7539i −0.108203 + 0.752567i
\(622\) −14.4724 9.30082i −0.580288 0.372929i
\(623\) −14.5769 + 31.9189i −0.584010 + 1.27880i
\(624\) 2.06540 1.32735i 0.0826820 0.0531365i
\(625\) 25.9841 + 56.8972i 1.03936 + 2.27589i
\(626\) −4.29649 29.8827i −0.171722 1.19435i
\(627\) 1.54688 1.02793i 0.0617763 0.0410514i
\(628\) −0.0395200 + 0.274868i −0.00157702 + 0.0109684i
\(629\) −13.8022 + 4.05269i −0.550329 + 0.161591i
\(630\) −56.8598 36.5416i −2.26535 1.45585i
\(631\) 11.9941 3.52179i 0.477478 0.140200i −0.0341334 0.999417i \(-0.510867\pi\)
0.511611 + 0.859217i \(0.329049\pi\)
\(632\) −8.07718 −0.321293
\(633\) −5.79611 + 6.68906i −0.230375 + 0.265866i
\(634\) 12.0667 7.75482i 0.479231 0.307983i
\(635\) 13.9638 16.1151i 0.554137 0.639508i
\(636\) −0.251381 + 0.290110i −0.00996792 + 0.0115036i
\(637\) 9.51688 + 6.11613i 0.377073 + 0.242330i
\(638\) 1.81976 + 11.4131i 0.0720449 + 0.451850i
\(639\) 8.96073 5.75871i 0.354481 0.227811i
\(640\) 6.98677 48.5940i 0.276176 1.92085i
\(641\) −14.9607 17.2656i −0.590914 0.681951i 0.379001 0.925396i \(-0.376268\pi\)
−0.969915 + 0.243446i \(0.921722\pi\)
\(642\) 10.2286 11.8044i 0.403690 0.465883i
\(643\) −2.27823 15.8455i −0.0898448 0.624884i −0.984138 0.177403i \(-0.943230\pi\)
0.894293 0.447481i \(-0.147679\pi\)
\(644\) 1.00527 + 1.16014i 0.0396132 + 0.0457160i
\(645\) 14.1141 0.555740
\(646\) 1.55952 3.41488i 0.0613586 0.134357i
\(647\) 43.3835 + 12.7386i 1.70558 + 0.500804i 0.981911 0.189341i \(-0.0606350\pi\)
0.723671 + 0.690145i \(0.242453\pi\)
\(648\) −14.6184 + 4.29234i −0.574264 + 0.168619i
\(649\) −9.02215 18.9811i −0.354150 0.745071i
\(650\) 15.6165 + 4.58543i 0.612531 + 0.179855i
\(651\) 3.74631 + 2.40761i 0.146829 + 0.0943616i
\(652\) 0.119053 + 0.260690i 0.00466248 + 0.0102094i
\(653\) 5.31233 36.9481i 0.207888 1.44589i −0.572145 0.820152i \(-0.693889\pi\)
0.780033 0.625739i \(-0.215202\pi\)
\(654\) 0.145516 0.0427275i 0.00569014 0.00167078i
\(655\) −43.4666 + 27.9343i −1.69838 + 1.09148i
\(656\) 17.2794 + 11.1048i 0.674647 + 0.433570i
\(657\) −2.19461 + 15.2638i −0.0856199 + 0.595499i
\(658\) 6.13367 + 42.6606i 0.239115 + 1.66308i
\(659\) 0.663557 1.45299i 0.0258485 0.0566003i −0.896267 0.443514i \(-0.853732\pi\)
0.922116 + 0.386914i \(0.126459\pi\)
\(660\) −0.250102 0.526171i −0.00973519 0.0204812i
\(661\) −6.18495 13.5431i −0.240567 0.526767i 0.750383 0.661003i \(-0.229869\pi\)
−0.990949 + 0.134236i \(0.957142\pi\)
\(662\) 2.74883 1.76656i 0.106836 0.0686594i
\(663\) 0.252657 + 1.75727i 0.00981240 + 0.0682467i
\(664\) −4.76254 10.4285i −0.184822 0.404705i
\(665\) 6.59767 + 14.4469i 0.255846 + 0.560226i
\(666\) 7.45396 + 16.3219i 0.288835 + 0.632460i
\(667\) 5.33269 + 11.6770i 0.206482 + 0.452133i
\(668\) −0.135198 0.940323i −0.00523097 0.0363822i
\(669\) −5.01683 + 3.22412i −0.193962 + 0.124652i
\(670\) 15.6327 + 34.2308i 0.603944 + 1.32245i
\(671\) −12.6481 26.6095i −0.488275 1.02725i
\(672\) 0.435840 0.954356i 0.0168129 0.0368151i
\(673\) 0.790420 + 5.49749i 0.0304685 + 0.211913i 0.999368 0.0355407i \(-0.0113154\pi\)
−0.968900 + 0.247453i \(0.920406\pi\)
\(674\) −5.08092 + 35.3386i −0.195710 + 1.36119i
\(675\) 36.6772 + 23.5710i 1.41171 + 0.907249i
\(676\) −0.675936 + 0.434397i −0.0259975 + 0.0167076i
\(677\) −1.43892 + 0.422506i −0.0553023 + 0.0162382i −0.309267 0.950975i \(-0.600084\pi\)
0.253964 + 0.967214i \(0.418265\pi\)
\(678\) −2.18014 + 15.1632i −0.0837278 + 0.582340i
\(679\) 15.4006 + 33.7226i 0.591021 + 1.29416i
\(680\) 28.9365 + 18.5964i 1.10967 + 0.713139i
\(681\) −6.63653 1.94866i −0.254312 0.0746729i
\(682\) −3.25203 6.84171i −0.124527 0.261983i
\(683\) 31.3239 9.19754i 1.19858 0.351934i 0.379269 0.925287i \(-0.376176\pi\)
0.819309 + 0.573353i \(0.194357\pi\)
\(684\) −0.143966 0.0422724i −0.00550469 0.00161632i
\(685\) 11.6982 25.6155i 0.446966 0.978719i
\(686\) 32.5672 1.24342
\(687\) 2.75843 + 3.18339i 0.105241 + 0.121454i
\(688\) −3.12511 21.7356i −0.119144 0.828663i
\(689\) 5.51283 6.36215i 0.210022 0.242379i
\(690\) −13.2253 15.2628i −0.503478 0.581045i
\(691\) 4.52932 31.5021i 0.172304 1.19840i −0.701698 0.712475i \(-0.747574\pi\)
0.874001 0.485923i \(-0.161517\pi\)
\(692\) 0.108453 0.0696988i 0.00412278 0.00264955i
\(693\) −5.92340 37.1503i −0.225011 1.41122i
\(694\) 36.2210 + 23.2779i 1.37493 + 0.883615i
\(695\) 5.63515 6.50331i 0.213753 0.246685i
\(696\) 2.82438 3.25951i 0.107058 0.123551i
\(697\) −12.4949 + 8.03000i −0.473279 + 0.304158i
\(698\) −1.61216 + 1.86053i −0.0610211 + 0.0704221i
\(699\) −16.0816 −0.608262
\(700\) 3.38930 0.995190i 0.128104 0.0376146i
\(701\) −37.7393 24.2536i −1.42539 0.916044i −0.999939 0.0110639i \(-0.996478\pi\)
−0.425454 0.904980i \(-0.639885\pi\)
\(702\) 4.58566 1.34647i 0.173075 0.0508193i
\(703\) 0.600046 4.17341i 0.0226311 0.157403i
\(704\) 21.3196 14.1672i 0.803511 0.533946i
\(705\) −2.58556 17.9830i −0.0973778 0.677278i
\(706\) −10.2707 22.4897i −0.386542 0.846410i
\(707\) −44.4421 + 28.5612i −1.67142 + 1.07415i
\(708\) 0.111539 0.244237i 0.00419191 0.00917899i
\(709\) 16.7448 + 10.7612i 0.628865 + 0.404147i 0.815889 0.578209i \(-0.196248\pi\)
−0.187024 + 0.982355i \(0.559884\pi\)
\(710\) −3.48714 + 24.2536i −0.130870 + 0.910220i
\(711\) −7.22210 2.12060i −0.270850 0.0795287i
\(712\) −21.3729 6.27565i −0.800983 0.235190i
\(713\) −5.51005 6.35893i −0.206353 0.238144i
\(714\) 7.87489 + 9.08811i 0.294710 + 0.340114i
\(715\) 5.48477 + 11.5390i 0.205119 + 0.431534i
\(716\) −0.841338 + 0.970956i −0.0314423 + 0.0362863i
\(717\) −11.2531 −0.420253
\(718\) 15.8536 4.65503i 0.591651 0.173724i
\(719\) −6.66587 46.3621i −0.248595 1.72902i −0.606348 0.795199i \(-0.707366\pi\)
0.357753 0.933816i \(-0.383543\pi\)
\(720\) 18.4145 40.3220i 0.686266 1.50271i
\(721\) 16.3820 + 4.81019i 0.610098 + 0.179141i
\(722\) −17.1644 19.8088i −0.638794 0.737207i
\(723\) −3.30291 −0.122837
\(724\) 0.528064 1.15630i 0.0196253 0.0429735i
\(725\) 29.5392 1.09706
\(726\) 3.92016 9.32995i 0.145491 0.346267i
\(727\) 11.3305 0.420225 0.210112 0.977677i \(-0.432617\pi\)
0.210112 + 0.977677i \(0.432617\pi\)
\(728\) −4.69859 + 10.2885i −0.174141 + 0.381316i
\(729\) −7.32756 −0.271391
\(730\) −23.2305 26.8094i −0.859799 0.992261i
\(731\) 15.2357 + 4.47360i 0.563512 + 0.165462i
\(732\) 0.156367 0.342395i 0.00577948 0.0126553i
\(733\) 3.87723 + 26.9667i 0.143209 + 0.996038i 0.927013 + 0.375030i \(0.122367\pi\)
−0.783804 + 0.621008i \(0.786723\pi\)
\(734\) −0.938794 + 0.275655i −0.0346515 + 0.0101746i
\(735\) −32.3010 −1.19144
\(736\) −1.29814 + 1.49814i −0.0478503 + 0.0552221i
\(737\) −8.40822 + 19.1835i −0.309721 + 0.706634i
\(738\) 12.1326 + 14.0018i 0.446608 + 0.515413i
\(739\) −12.9573 14.9536i −0.476643 0.550075i 0.465604 0.884993i \(-0.345837\pi\)
−0.942247 + 0.334918i \(0.891292\pi\)
\(740\) −1.26900 0.372611i −0.0466492 0.0136974i
\(741\) −0.499288 0.146604i −0.0183418 0.00538564i
\(742\) 8.11503 56.4413i 0.297912 2.07202i
\(743\) −3.69076 2.37191i −0.135401 0.0870168i 0.471187 0.882033i \(-0.343826\pi\)
−0.606588 + 0.795017i \(0.707462\pi\)
\(744\) −1.17435 + 2.57147i −0.0430539 + 0.0942748i
\(745\) −12.5378 + 8.05757i −0.459350 + 0.295206i
\(746\) −22.8722 50.0832i −0.837412 1.83368i
\(747\) −1.52044 10.5749i −0.0556299 0.386915i
\(748\) −0.103202 0.647258i −0.00377342 0.0236661i
\(749\) −10.5800 + 73.5853i −0.386584 + 2.68875i
\(750\) −26.2927 + 7.72024i −0.960074 + 0.281903i
\(751\) 11.2116 + 7.20528i 0.409118 + 0.262924i 0.728973 0.684542i \(-0.239998\pi\)
−0.319855 + 0.947466i \(0.603634\pi\)
\(752\) −27.1213 + 7.96352i −0.989010 + 0.290400i
\(753\) 11.2815 0.411122
\(754\) 2.12050 2.44719i 0.0772241 0.0891214i
\(755\) 56.4963 36.3080i 2.05611 1.32138i
\(756\) 0.679258 0.783905i 0.0247044 0.0285104i
\(757\) −13.8830 + 16.0219i −0.504587 + 0.582324i −0.949704 0.313148i \(-0.898616\pi\)
0.445118 + 0.895472i \(0.353162\pi\)
\(758\) 2.77111 + 1.78088i 0.100651 + 0.0646846i
\(759\) 1.42915 11.1494i 0.0518747 0.404698i
\(760\) −8.48154 + 5.45075i −0.307658 + 0.197720i
\(761\) −1.43773 + 9.99963i −0.0521177 + 0.362486i 0.947028 + 0.321152i \(0.104070\pi\)
−0.999145 + 0.0413344i \(0.986839\pi\)
\(762\) 3.09898 + 3.57642i 0.112264 + 0.129560i
\(763\) −0.472701 + 0.545526i −0.0171129 + 0.0197494i
\(764\) −0.0562828 0.391455i −0.00203624 0.0141624i
\(765\) 20.9909 + 24.2248i 0.758927 + 0.875848i
\(766\) 18.5724 0.671047
\(767\) −2.44608 + 5.35616i −0.0883227 + 0.193400i
\(768\) 0.974700 + 0.286198i 0.0351714 + 0.0103273i
\(769\) 34.9658 10.2669i 1.26090 0.370233i 0.418069 0.908415i \(-0.362707\pi\)
0.842829 + 0.538182i \(0.180889\pi\)
\(770\) 73.5098 + 45.6666i 2.64911 + 1.64571i
\(771\) 15.3022 + 4.49314i 0.551096 + 0.161816i
\(772\) 0.229847 + 0.147714i 0.00827239 + 0.00531634i
\(773\) −3.13165 6.85735i −0.112638 0.246642i 0.844915 0.534901i \(-0.179651\pi\)
−0.957553 + 0.288259i \(0.906924\pi\)
\(774\) 2.81883 19.6054i 0.101321 0.704702i
\(775\) −18.5773 + 5.45480i −0.667318 + 0.195942i
\(776\) −19.7980 + 12.7234i −0.710708 + 0.456745i
\(777\) 11.3618 + 7.30179i 0.407602 + 0.261950i
\(778\) −1.24695 + 8.67269i −0.0447051 + 0.310931i
\(779\) −0.619562 4.30915i −0.0221981 0.154391i
\(780\) −0.0678073 + 0.148477i −0.00242789 + 0.00531634i
\(781\) −11.3588 + 7.54813i −0.406451 + 0.270093i
\(782\) −9.43859 20.6676i −0.337523 0.739073i
\(783\) 7.29698 4.68948i 0.260773 0.167588i
\(784\) 7.15204 + 49.7435i 0.255430 + 1.77655i
\(785\) 7.22337 + 15.8170i 0.257813 + 0.564532i
\(786\) −4.76350 10.4306i −0.169908 0.372047i
\(787\) 4.52171 + 9.90117i 0.161182 + 0.352939i 0.972941 0.231053i \(-0.0742172\pi\)
−0.811759 + 0.583992i \(0.801490\pi\)
\(788\) 0.0731591 + 0.160196i 0.00260618 + 0.00570675i
\(789\) 1.62413 + 11.2961i 0.0578207 + 0.402152i
\(790\) 14.5664 9.36123i 0.518248 0.333058i
\(791\) −30.2889 66.3235i −1.07695 2.35819i
\(792\) 22.8080 7.07815i 0.810445 0.251511i
\(793\) −3.42915 + 7.50878i −0.121773 + 0.266645i
\(794\) −3.69927 25.7290i −0.131282 0.913089i
\(795\) −3.42078 + 23.7920i −0.121322 + 0.843816i
\(796\) −0.963770 0.619377i −0.0341599 0.0219533i
\(797\) 31.2071 20.0556i 1.10541 0.710406i 0.145124 0.989413i \(-0.453642\pi\)
0.960289 + 0.279008i \(0.0900055\pi\)
\(798\) −3.38194 + 0.993026i −0.119719 + 0.0351527i
\(799\) 2.90886 20.2316i 0.102908 0.715742i
\(800\) 1.89492 + 4.14930i 0.0669957 + 0.146700i
\(801\) −17.4627 11.2226i −0.617013 0.396530i
\(802\) 1.86802 + 0.548500i 0.0659620 + 0.0193682i
\(803\) 2.51032 19.5842i 0.0885873 0.691110i
\(804\) −0.256756 + 0.0753904i −0.00905509 + 0.00265881i
\(805\) 92.2286 + 27.0808i 3.25063 + 0.954471i
\(806\) −0.881687 + 1.93062i −0.0310561 + 0.0680034i
\(807\) −6.30722 −0.222025
\(808\) −21.9612 25.3446i −0.772592 0.891619i
\(809\) 7.07230 + 49.1889i 0.248649 + 1.72939i 0.606039 + 0.795435i \(0.292757\pi\)
−0.357390 + 0.933955i \(0.616333\pi\)
\(810\) 21.3880 24.6831i 0.751499 0.867276i
\(811\) 7.81443 + 9.01834i 0.274402 + 0.316677i 0.876178 0.481989i \(-0.160085\pi\)
−0.601776 + 0.798665i \(0.705540\pi\)
\(812\) 0.100015 0.695620i 0.00350984 0.0244115i
\(813\) 10.0022 6.42800i 0.350791 0.225440i
\(814\) −9.86275 20.7495i −0.345689 0.727271i
\(815\) 15.0965 + 9.70192i 0.528807 + 0.339843i
\(816\) −5.16467 + 5.96035i −0.180800 + 0.208654i
\(817\) −3.04788 + 3.51744i −0.106632 + 0.123060i
\(818\) 14.9990 9.63928i 0.524428 0.337029i
\(819\) −6.90234 + 7.96572i −0.241187 + 0.278345i
\(820\) −1.36559 −0.0476884
\(821\) −26.2034 + 7.69400i −0.914504 + 0.268523i −0.704936 0.709271i \(-0.749024\pi\)
−0.209569 + 0.977794i \(0.567206\pi\)
\(822\) 5.25751 + 3.37879i 0.183377 + 0.117849i
\(823\) 45.1001 13.2426i 1.57209 0.461608i 0.624482 0.781039i \(-0.285310\pi\)
0.947610 + 0.319431i \(0.103492\pi\)
\(824\) −1.54246 + 10.7281i −0.0537343 + 0.373730i
\(825\) −21.9713 13.6493i −0.764943 0.475207i
\(826\) 5.67612 + 39.4783i 0.197498 + 1.37363i
\(827\) −4.76904 10.4427i −0.165836 0.363130i 0.808409 0.588621i \(-0.200329\pi\)
−0.974245 + 0.225491i \(0.927601\pi\)
\(828\) −0.763945 + 0.490957i −0.0265489 + 0.0170620i
\(829\) −19.9527 + 43.6904i −0.692988 + 1.51743i 0.155284 + 0.987870i \(0.450371\pi\)
−0.848272 + 0.529561i \(0.822357\pi\)
\(830\) 20.6751 + 13.2871i 0.717644 + 0.461202i
\(831\) −0.460553 + 3.20321i −0.0159764 + 0.111118i
\(832\) −6.88135 2.02055i −0.238568 0.0700498i
\(833\) −34.8680 10.2382i −1.20810 0.354731i
\(834\) 1.25061 + 1.44328i 0.0433050 + 0.0499766i
\(835\) −38.9546 44.9561i −1.34808 1.55577i
\(836\) 0.185138 + 0.0512954i 0.00640314 + 0.00177409i
\(837\) −3.72312 + 4.29671i −0.128690 + 0.148516i
\(838\) −53.5631 −1.85031
\(839\) −13.1996 + 3.87575i −0.455701 + 0.133806i −0.501524 0.865144i \(-0.667227\pi\)
0.0458233 + 0.998950i \(0.485409\pi\)
\(840\) −4.59604 31.9662i −0.158579 1.10294i
\(841\) −9.60570 + 21.0335i −0.331231 + 0.725295i
\(842\) −29.6388 8.70274i −1.02142 0.299916i
\(843\) −13.1332 15.1565i −0.452331 0.522017i
\(844\) −0.915521 −0.0315135
\(845\) −20.9002 + 45.7651i −0.718989 + 1.57437i
\(846\) −25.4960 −0.876569
\(847\) 8.31167 + 47.4445i 0.285592 + 1.63021i
\(848\) 37.3971 1.28422
\(849\) −0.816546 + 1.78799i −0.0280238 + 0.0613635i
\(850\) −52.2830 −1.79329
\(851\) −16.7109 19.2854i −0.572841 0.661093i
\(852\) −0.167181 0.0490888i −0.00572754 0.00168176i
\(853\) 5.07736 11.1179i 0.173846 0.380669i −0.802573 0.596554i \(-0.796536\pi\)
0.976419 + 0.215885i \(0.0692636\pi\)
\(854\) 7.95734 + 55.3445i 0.272295 + 1.89385i
\(855\) −9.01470 + 2.64696i −0.308296 + 0.0905240i
\(856\) −47.1926 −1.61301
\(857\) 2.06982 2.38870i 0.0707036 0.0815963i −0.719296 0.694704i \(-0.755535\pi\)
0.789999 + 0.613108i \(0.210081\pi\)
\(858\) −2.70801 + 0.840396i −0.0924500 + 0.0286907i
\(859\) −28.8824 33.3320i −0.985453 1.13727i −0.990531 0.137287i \(-0.956162\pi\)
0.00507784 0.999987i \(-0.498384\pi\)
\(860\) 0.956052 + 1.10334i 0.0326011 + 0.0376237i
\(861\) 13.3802 + 3.92878i 0.455996 + 0.133893i
\(862\) 3.54997 + 1.04237i 0.120913 + 0.0355031i
\(863\) −2.77885 + 19.3273i −0.0945932 + 0.657910i 0.886264 + 0.463181i \(0.153292\pi\)
−0.980857 + 0.194729i \(0.937617\pi\)
\(864\) 1.12682 + 0.724161i 0.0383351 + 0.0246365i
\(865\) 3.35343 7.34298i 0.114020 0.249669i
\(866\) 42.7183 27.4534i 1.45163 0.932904i
\(867\) 2.15088 + 4.70976i 0.0730476 + 0.159952i
\(868\) 0.0655553 + 0.455947i 0.00222509 + 0.0154759i
\(869\) 9.28749 + 2.57324i 0.315057 + 0.0872913i
\(870\) −1.31580 + 9.15156i −0.0446097 + 0.310267i
\(871\) 5.63070 1.65332i 0.190789 0.0560207i
\(872\) −0.385482 0.247734i −0.0130541 0.00838933i
\(873\) −21.0426 + 6.17866i −0.712184 + 0.209116i
\(874\) 6.65967 0.225267
\(875\) 85.4102 98.5686i 2.88739 3.33223i
\(876\) 0.212209 0.136378i 0.00716987 0.00460779i
\(877\) −9.65455 + 11.1419i −0.326011 + 0.376237i −0.894968 0.446131i \(-0.852802\pi\)
0.568957 + 0.822367i \(0.307347\pi\)
\(878\) −18.0712 + 20.8553i −0.609873 + 0.703831i
\(879\) 16.7053 + 10.7359i 0.563457 + 0.362112i
\(880\) −22.7841 + 51.9823i −0.768051 + 1.75232i
\(881\) −13.2187 + 8.49517i −0.445351 + 0.286209i −0.744033 0.668143i \(-0.767089\pi\)
0.298682 + 0.954353i \(0.403453\pi\)
\(882\) −6.45110 + 44.8684i −0.217220 + 1.51080i
\(883\) 23.1818 + 26.7532i 0.780128 + 0.900316i 0.997119 0.0758578i \(-0.0241695\pi\)
−0.216990 + 0.976174i \(0.569624\pi\)
\(884\) −0.120257 + 0.138784i −0.00404469 + 0.00466782i
\(885\) −2.39269 16.6415i −0.0804294 0.559399i
\(886\) 14.9506 + 17.2539i 0.502274 + 0.579655i
\(887\) −2.72103 −0.0913631 −0.0456816 0.998956i \(-0.514546\pi\)
−0.0456816 + 0.998956i \(0.514546\pi\)
\(888\) −3.56157 + 7.79876i −0.119519 + 0.261709i
\(889\) −21.6112 6.34563i −0.724817 0.212826i
\(890\) 45.8171 13.4531i 1.53579 0.450950i
\(891\) 18.1763 0.278368i 0.608929 0.00932569i
\(892\) −0.591869 0.173788i −0.0198172 0.00581886i
\(893\) 5.03997 + 3.23899i 0.168656 + 0.108389i
\(894\) −1.37402 3.00868i −0.0459541 0.100625i
\(895\) −11.4489 + 79.6285i −0.382693 + 2.66169i
\(896\) −49.7566 + 14.6098i −1.66225 + 0.488081i
\(897\) −2.64943 + 1.70268i −0.0884618 + 0.0568510i
\(898\) −18.3200 11.7736i −0.611347 0.392889i
\(899\) −0.548199 + 3.81281i −0.0182835 + 0.127164i
\(900\) 0.297386 + 2.06837i 0.00991287 + 0.0689455i
\(901\) −11.2338 + 24.5985i −0.374251 + 0.819495i
\(902\) −15.8070 17.6875i −0.526315 0.588931i
\(903\) −6.19322 13.5613i −0.206098 0.451291i
\(904\) 38.9375 25.0236i 1.29504 0.832273i
\(905\) −11.3278 78.7865i −0.376548 2.61895i
\(906\) 6.19142 + 13.5573i 0.205696 + 0.450412i
\(907\) −6.72801 14.7323i −0.223400 0.489177i 0.764432 0.644705i \(-0.223020\pi\)
−0.987832 + 0.155527i \(0.950292\pi\)
\(908\) −0.297209 0.650798i −0.00986324 0.0215975i
\(909\) −12.9823 28.4273i −0.430595 0.942873i
\(910\) −3.45064 23.9997i −0.114388 0.795584i
\(911\) 29.4388 18.9191i 0.975350 0.626819i 0.0471446 0.998888i \(-0.484988\pi\)
0.928205 + 0.372069i \(0.121351\pi\)
\(912\) −0.960293 2.10275i −0.0317985 0.0696290i
\(913\) 2.15384 + 13.5084i 0.0712817 + 0.447063i
\(914\) 1.26062 2.76038i 0.0416978 0.0913054i
\(915\) −3.35430 23.3297i −0.110890 0.771256i
\(916\) −0.0620074 + 0.431271i −0.00204878 + 0.0142496i
\(917\) 45.9132 + 29.5066i 1.51619 + 0.974395i
\(918\) −12.9153 + 8.30015i −0.426268 + 0.273946i
\(919\) 23.4346 6.88101i 0.773035 0.226984i 0.128656 0.991689i \(-0.458934\pi\)
0.644380 + 0.764706i \(0.277116\pi\)
\(920\) −8.68387 + 60.3977i −0.286299 + 1.99125i
\(921\) −1.58934 3.48016i −0.0523705 0.114675i
\(922\) −26.0135 16.7179i −0.856710 0.550574i
\(923\) 3.66631 + 1.07653i 0.120678 + 0.0354343i
\(924\) −0.395819 + 0.471189i −0.0130215 + 0.0155010i
\(925\) −56.3413 + 16.5433i −1.85249 + 0.543940i
\(926\) 2.18658 + 0.642038i 0.0718555 + 0.0210987i
\(927\) −4.19574 + 9.18740i −0.137806 + 0.301754i
\(928\) 0.907520 0.0297908
\(929\) −4.18206 4.82635i −0.137209 0.158347i 0.682987 0.730431i \(-0.260681\pi\)
−0.820195 + 0.572084i \(0.806135\pi\)
\(930\) −0.862444 5.99843i −0.0282807 0.196696i
\(931\) 6.97528 8.04990i 0.228606 0.263825i
\(932\) −1.08933 1.25715i −0.0356822 0.0411794i
\(933\) 1.09013 7.58204i 0.0356894 0.248225i
\(934\) 15.3933 9.89265i 0.503683 0.323698i
\(935\) −27.3480 30.6016i −0.894376 1.00078i
\(936\) −5.62877 3.61739i −0.183982 0.118238i
\(937\) −14.0767 + 16.2454i −0.459867 + 0.530715i −0.937565 0.347809i \(-0.886926\pi\)
0.477698 + 0.878524i \(0.341471\pi\)
\(938\) 26.0306 30.0409i 0.849928 0.980869i
\(939\) 11.3086 7.26758i 0.369041 0.237168i
\(940\) 1.23065 1.42025i 0.0401394 0.0463233i
\(941\) −31.5905 −1.02982 −0.514911 0.857244i \(-0.672175\pi\)
−0.514911 + 0.857244i \(0.672175\pi\)
\(942\) −3.70267 + 1.08720i −0.120639 + 0.0354229i
\(943\) −22.1655 14.2449i −0.721808 0.463878i
\(944\) −25.0981 + 7.36948i −0.816875 + 0.239856i
\(945\) 9.24328 64.2884i 0.300684 2.09130i
\(946\) −3.22434 + 25.1546i −0.104832 + 0.817846i
\(947\) −5.91500 41.1398i −0.192212 1.33686i −0.826138 0.563468i \(-0.809467\pi\)
0.633926 0.773394i \(-0.281442\pi\)
\(948\) 0.0511486 + 0.112000i 0.00166123 + 0.00363758i
\(949\) −4.65377 + 2.99080i −0.151068 + 0.0970854i
\(950\) 6.36606 13.9397i 0.206542 0.452264i
\(951\) 5.37288 + 3.45294i 0.174228 + 0.111969i
\(952\) 5.17074 35.9633i 0.167585 1.16558i
\(953\) 38.3364 + 11.2566i 1.24184 + 0.364636i 0.835705 0.549178i \(-0.185059\pi\)
0.406132 + 0.913815i \(0.366877\pi\)
\(954\) 32.3656 + 9.50339i 1.04787 + 0.307684i
\(955\) −16.2168 18.7152i −0.524763 0.605608i
\(956\) −0.762256 0.879690i −0.0246531 0.0284512i
\(957\) −4.28601 + 2.84812i −0.138547 + 0.0920668i
\(958\) −14.8699 + 17.1607i −0.480424 + 0.554438i
\(959\) −29.7454 −0.960530
\(960\) 19.6482 5.76922i 0.634142 0.186201i
\(961\) 4.05244 + 28.1853i 0.130724 + 0.909205i
\(962\) −2.67398 + 5.85519i −0.0862125 + 0.188779i
\(963\) −42.1966 12.3900i −1.35977 0.399263i
\(964\) −0.223732 0.258200i −0.00720591 0.00831606i
\(965\) 17.1082 0.550731
\(966\) −8.86179 + 19.4046i −0.285123 + 0.624333i
\(967\) −43.1860 −1.38877 −0.694384 0.719605i \(-0.744323\pi\)
−0.694384 + 0.719605i \(0.744323\pi\)
\(968\) −29.0605 + 9.50881i −0.934041 + 0.305625i
\(969\) 1.67158 0.0536988
\(970\) 20.9576 45.8908i 0.672909 1.47346i
\(971\) 31.0209 0.995508 0.497754 0.867318i \(-0.334158\pi\)
0.497754 + 0.867318i \(0.334158\pi\)
\(972\) 0.617459 + 0.712585i 0.0198050 + 0.0228562i
\(973\) −8.72130 2.56080i −0.279592 0.0820956i
\(974\) 18.1222 39.6820i 0.580671 1.27149i
\(975\) 1.03136 + 7.17327i 0.0330300 + 0.229729i
\(976\) −35.1850 + 10.3312i −1.12624 + 0.330695i
\(977\) 53.7394 1.71928 0.859638 0.510904i \(-0.170689\pi\)
0.859638 + 0.510904i \(0.170689\pi\)
\(978\) −2.60803 + 3.00983i −0.0833957 + 0.0962438i
\(979\) 22.5762 + 14.0250i 0.721537 + 0.448242i
\(980\) −2.18799 2.52508i −0.0698929 0.0806607i
\(981\) −0.279633 0.322713i −0.00892798 0.0103034i
\(982\) 9.43302 + 2.76978i 0.301020 + 0.0883874i
\(983\) 31.1812 + 9.15563i 0.994526 + 0.292019i 0.738208 0.674573i \(-0.235672\pi\)
0.256318 + 0.966593i \(0.417491\pi\)
\(984\) −1.25983 + 8.76229i −0.0401618 + 0.279331i
\(985\) 9.27690 + 5.96190i 0.295587 + 0.189962i
\(986\) −4.32105 + 9.46178i −0.137610 + 0.301324i
\(987\) −16.1441 + 10.3752i −0.513873 + 0.330246i
\(988\) −0.0223600 0.0489617i −0.000711368 0.00155768i
\(989\) 4.00880 + 27.8818i 0.127472 + 0.886590i
\(990\) −32.9284 + 39.1985i −1.04653 + 1.24581i
\(991\) 5.88973 40.9640i 0.187093 1.30126i −0.652392 0.757881i \(-0.726235\pi\)
0.839486 0.543382i \(-0.182856\pi\)
\(992\) −0.570743 + 0.167585i −0.0181211 + 0.00532083i
\(993\) 1.22395 + 0.786587i 0.0388410 + 0.0249616i
\(994\) 24.8338 7.29186i 0.787680 0.231284i
\(995\) −71.7359 −2.27418
\(996\) −0.114445 + 0.132077i −0.00362633 + 0.00418501i
\(997\) 20.1053 12.9209i 0.636743 0.409210i −0.182058 0.983288i \(-0.558276\pi\)
0.818800 + 0.574078i \(0.194639\pi\)
\(998\) −16.5309 + 19.0776i −0.523275 + 0.603892i
\(999\) −11.2915 + 13.0311i −0.357247 + 0.412285i
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 121.2.e.a.23.4 100
121.100 even 11 inner 121.2.e.a.100.4 yes 100
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
121.2.e.a.23.4 100 1.1 even 1 trivial
121.2.e.a.100.4 yes 100 121.100 even 11 inner