Properties

Label 287.2.be.a.12.11
Level $287$
Weight $2$
Character 287.12
Analytic conductor $2.292$
Analytic rank $0$
Dimension $832$
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] = [287,2,Mod(12,287)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(287, base_ring=CyclotomicField(120))
 
chi = DirichletCharacter(H, H._module([100, 81]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("287.12");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 287 = 7 \cdot 41 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 287.be (of order \(120\), degree \(32\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(2.29170653801\)
Analytic rank: \(0\)
Dimension: \(832\)
Relative dimension: \(26\) over \(\Q(\zeta_{120})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{120}]$

Embedding invariants

Embedding label 12.11
Character \(\chi\) \(=\) 287.12
Dual form 287.2.be.a.24.11

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.352928 - 0.285796i) q^{2} +(3.08231 - 0.405794i) q^{3} +(-0.372944 - 1.75456i) q^{4} +(1.87083 + 0.0980462i) q^{5} +(-1.20381 - 0.737695i) q^{6} +(-1.92896 + 1.81083i) q^{7} +(-0.782169 + 1.53509i) q^{8} +(6.43819 - 1.72511i) q^{9} +O(q^{10})\) \(q+(-0.352928 - 0.285796i) q^{2} +(3.08231 - 0.405794i) q^{3} +(-0.372944 - 1.75456i) q^{4} +(1.87083 + 0.0980462i) q^{5} +(-1.20381 - 0.737695i) q^{6} +(-1.92896 + 1.81083i) q^{7} +(-0.782169 + 1.53509i) q^{8} +(6.43819 - 1.72511i) q^{9} +(-0.632249 - 0.569279i) q^{10} +(-0.640441 - 1.34271i) q^{11} +(-1.86152 - 5.25677i) q^{12} +(0.995875 + 4.14812i) q^{13} +(1.19831 - 0.0878063i) q^{14} +(5.80627 - 0.456964i) q^{15} +(-2.56259 + 1.14094i) q^{16} +(-0.660046 - 0.233735i) q^{17} +(-2.76525 - 1.23117i) q^{18} +(-3.75290 - 3.56137i) q^{19} +(-0.525688 - 3.31906i) q^{20} +(-5.21082 + 6.36431i) q^{21} +(-0.157712 + 0.656917i) q^{22} +(-5.82780 + 0.612527i) q^{23} +(-1.78796 + 5.04903i) q^{24} +(-1.48221 - 0.155786i) q^{25} +(0.834042 - 1.74861i) q^{26} +(10.5277 - 4.36071i) q^{27} +(3.89662 + 2.70914i) q^{28} +(-2.54939 + 2.98495i) q^{29} +(-2.17980 - 1.49813i) q^{30} +(5.19320 - 5.76763i) q^{31} +(4.55883 + 1.22153i) q^{32} +(-2.51890 - 3.87877i) q^{33} +(0.166149 + 0.271130i) q^{34} +(-3.78630 + 3.19864i) q^{35} +(-5.42790 - 10.6528i) q^{36} +(5.49355 + 6.10121i) q^{37} +(0.306681 + 2.32947i) q^{38} +(4.75288 + 12.3817i) q^{39} +(-1.61382 + 2.79522i) q^{40} +(-6.26877 + 1.30478i) q^{41} +(3.65794 - 0.756914i) q^{42} +(0.286643 - 1.80979i) q^{43} +(-2.11703 + 1.62445i) q^{44} +(12.2139 - 2.59615i) q^{45} +(2.23185 + 1.44938i) q^{46} +(10.8894 - 5.91247i) q^{47} +(-7.43572 + 4.55662i) q^{48} +(0.441764 - 6.98605i) q^{49} +(0.478590 + 0.478590i) q^{50} +(-2.12932 - 0.452600i) q^{51} +(6.90674 - 3.29434i) q^{52} +(-1.27896 + 6.90063i) q^{53} +(-4.96179 - 1.46975i) q^{54} +(-1.06651 - 2.57478i) q^{55} +(-1.27103 - 4.37751i) q^{56} +(-13.0128 - 9.45434i) q^{57} +(1.75284 - 0.324869i) q^{58} +(-1.74817 + 3.92646i) q^{59} +(-2.96719 - 10.0171i) q^{60} +(-3.65564 - 1.40327i) q^{61} +(-3.48119 + 0.551366i) q^{62} +(-9.29512 + 14.9861i) q^{63} +(2.03777 + 2.80475i) q^{64} +(1.45641 + 7.85808i) q^{65} +(-0.219544 + 2.08882i) q^{66} +(5.64764 - 3.88152i) q^{67} +(-0.163942 + 1.24526i) q^{68} +(-17.7145 + 4.25288i) q^{69} +(2.25045 - 0.0467809i) q^{70} +(-0.137626 + 1.74871i) q^{71} +(-2.38755 + 11.2326i) q^{72} +(-2.27982 + 8.50841i) q^{73} +(-0.195131 - 3.72332i) q^{74} +(-4.63184 + 0.121289i) q^{75} +(-4.84903 + 7.91289i) q^{76} +(3.66681 + 1.43031i) q^{77} +(1.86120 - 5.72819i) q^{78} +(-3.26795 - 4.25888i) q^{79} +(-4.90605 + 1.88326i) q^{80} +(13.3631 - 7.71518i) q^{81} +(2.58533 + 1.33109i) q^{82} +8.56075i q^{83} +(13.1099 + 6.76919i) q^{84} +(-1.21192 - 0.501993i) q^{85} +(-0.618395 + 0.556806i) q^{86} +(-6.64673 + 10.2351i) q^{87} +(2.56212 + 0.0670916i) q^{88} +(0.144887 + 5.53303i) q^{89} +(-5.05260 - 2.57443i) q^{90} +(-9.43255 - 6.19819i) q^{91} +(3.24816 + 9.99681i) q^{92} +(13.6666 - 19.8850i) q^{93} +(-5.53294 - 1.02547i) q^{94} +(-6.67187 - 7.03068i) q^{95} +(14.5474 + 1.91520i) q^{96} +(-1.15664 - 14.6965i) q^{97} +(-2.15249 + 2.33932i) q^{98} +(-6.43961 - 7.53981i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 832 q - 16 q^{2} - 48 q^{3} - 20 q^{4} - 48 q^{5} - 32 q^{7} - 48 q^{8} - 24 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 832 q - 16 q^{2} - 48 q^{3} - 20 q^{4} - 48 q^{5} - 32 q^{7} - 48 q^{8} - 24 q^{9} - 36 q^{10} - 16 q^{11} - 48 q^{12} - 36 q^{14} - 88 q^{15} - 92 q^{16} - 84 q^{17} - 12 q^{18} - 72 q^{19} + 8 q^{21} + 16 q^{22} - 20 q^{23} - 20 q^{25} - 24 q^{26} - 16 q^{28} - 96 q^{29} + 56 q^{30} - 60 q^{31} - 68 q^{32} - 108 q^{33} - 32 q^{35} + 24 q^{37} - 132 q^{38} - 16 q^{39} - 16 q^{43} + 112 q^{44} - 60 q^{45} + 24 q^{46} - 72 q^{47} + 72 q^{49} - 72 q^{50} + 24 q^{51} - 72 q^{52} + 8 q^{53} + 120 q^{54} - 8 q^{56} - 64 q^{57} - 20 q^{58} - 36 q^{59} - 16 q^{60} - 48 q^{61} - 76 q^{63} - 80 q^{64} - 12 q^{65} - 60 q^{66} - 24 q^{67} + 324 q^{68} - 260 q^{70} - 112 q^{71} - 20 q^{72} - 12 q^{73} - 60 q^{74} + 252 q^{75} - 16 q^{77} - 32 q^{78} - 20 q^{79} + 60 q^{80} + 528 q^{82} - 352 q^{84} - 144 q^{85} - 20 q^{86} + 84 q^{87} + 12 q^{88} + 144 q^{89} - 144 q^{91} - 96 q^{92} - 24 q^{93} - 156 q^{94} - 16 q^{95} + 528 q^{96} - 4 q^{98} + 144 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/287\mathbb{Z}\right)^\times\).

\(n\) \(206\) \(211\)
\(\chi(n)\) \(e\left(\frac{5}{6}\right)\) \(e\left(\frac{27}{40}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.352928 0.285796i −0.249558 0.202088i 0.496377 0.868107i \(-0.334664\pi\)
−0.745935 + 0.666019i \(0.767997\pi\)
\(3\) 3.08231 0.405794i 1.77957 0.234285i 0.832213 0.554456i \(-0.187074\pi\)
0.947360 + 0.320171i \(0.103740\pi\)
\(4\) −0.372944 1.75456i −0.186472 0.877282i
\(5\) 1.87083 + 0.0980462i 0.836662 + 0.0438476i 0.465854 0.884862i \(-0.345747\pi\)
0.370808 + 0.928709i \(0.379081\pi\)
\(6\) −1.20381 0.737695i −0.491453 0.301163i
\(7\) −1.92896 + 1.81083i −0.729078 + 0.684431i
\(8\) −0.782169 + 1.53509i −0.276539 + 0.542738i
\(9\) 6.43819 1.72511i 2.14606 0.575036i
\(10\) −0.632249 0.569279i −0.199935 0.180022i
\(11\) −0.640441 1.34271i −0.193100 0.404843i 0.783044 0.621966i \(-0.213666\pi\)
−0.976144 + 0.217123i \(0.930333\pi\)
\(12\) −1.86152 5.25677i −0.537375 1.51750i
\(13\) 0.995875 + 4.14812i 0.276206 + 1.15048i 0.922068 + 0.387027i \(0.126498\pi\)
−0.645862 + 0.763454i \(0.723502\pi\)
\(14\) 1.19831 0.0878063i 0.320263 0.0234672i
\(15\) 5.80627 0.456964i 1.49917 0.117987i
\(16\) −2.56259 + 1.14094i −0.640648 + 0.285235i
\(17\) −0.660046 0.233735i −0.160085 0.0566890i 0.252559 0.967582i \(-0.418728\pi\)
−0.412644 + 0.910893i \(0.635395\pi\)
\(18\) −2.76525 1.23117i −0.651775 0.290189i
\(19\) −3.75290 3.56137i −0.860974 0.817034i 0.123540 0.992340i \(-0.460575\pi\)
−0.984514 + 0.175306i \(0.943909\pi\)
\(20\) −0.525688 3.31906i −0.117547 0.742165i
\(21\) −5.21082 + 6.36431i −1.13709 + 1.38881i
\(22\) −0.157712 + 0.656917i −0.0336243 + 0.140055i
\(23\) −5.82780 + 0.612527i −1.21518 + 0.127721i −0.690343 0.723482i \(-0.742541\pi\)
−0.524837 + 0.851203i \(0.675874\pi\)
\(24\) −1.78796 + 5.04903i −0.364965 + 1.03063i
\(25\) −1.48221 0.155786i −0.296441 0.0311573i
\(26\) 0.834042 1.74861i 0.163569 0.342930i
\(27\) 10.5277 4.36071i 2.02605 0.839219i
\(28\) 3.89662 + 2.70914i 0.736392 + 0.511980i
\(29\) −2.54939 + 2.98495i −0.473409 + 0.554291i −0.944806 0.327630i \(-0.893750\pi\)
0.471397 + 0.881921i \(0.343750\pi\)
\(30\) −2.17980 1.49813i −0.397975 0.273520i
\(31\) 5.19320 5.76763i 0.932725 1.03590i −0.0665480 0.997783i \(-0.521199\pi\)
0.999273 0.0381133i \(-0.0121348\pi\)
\(32\) 4.55883 + 1.22153i 0.805895 + 0.215939i
\(33\) −2.51890 3.87877i −0.438485 0.675207i
\(34\) 0.166149 + 0.271130i 0.0284943 + 0.0464984i
\(35\) −3.78630 + 3.19864i −0.640002 + 0.540669i
\(36\) −5.42790 10.6528i −0.904649 1.77547i
\(37\) 5.49355 + 6.10121i 0.903135 + 1.00303i 0.999970 + 0.00773238i \(0.00246132\pi\)
−0.0968353 + 0.995300i \(0.530872\pi\)
\(38\) 0.306681 + 2.32947i 0.0497502 + 0.377890i
\(39\) 4.75288 + 12.3817i 0.761069 + 1.98265i
\(40\) −1.61382 + 2.79522i −0.255167 + 0.441962i
\(41\) −6.26877 + 1.30478i −0.979018 + 0.203773i
\(42\) 3.65794 0.756914i 0.564432 0.116794i
\(43\) 0.286643 1.80979i 0.0437126 0.275991i −0.956144 0.292895i \(-0.905381\pi\)
0.999857 + 0.0169048i \(0.00538121\pi\)
\(44\) −2.11703 + 1.62445i −0.319154 + 0.244895i
\(45\) 12.2139 2.59615i 1.82074 0.387011i
\(46\) 2.23185 + 1.44938i 0.329069 + 0.213700i
\(47\) 10.8894 5.91247i 1.58838 0.862422i 0.589895 0.807480i \(-0.299169\pi\)
0.998490 0.0549422i \(-0.0174974\pi\)
\(48\) −7.43572 + 4.55662i −1.07325 + 0.657691i
\(49\) 0.441764 6.98605i 0.0631091 0.998007i
\(50\) 0.478590 + 0.478590i 0.0676828 + 0.0676828i
\(51\) −2.12932 0.452600i −0.298164 0.0633767i
\(52\) 6.90674 3.29434i 0.957792 0.456843i
\(53\) −1.27896 + 6.90063i −0.175678 + 0.947875i 0.773656 + 0.633606i \(0.218426\pi\)
−0.949334 + 0.314269i \(0.898241\pi\)
\(54\) −4.96179 1.46975i −0.675214 0.200008i
\(55\) −1.06651 2.57478i −0.143808 0.347184i
\(56\) −1.27103 4.37751i −0.169848 0.584970i
\(57\) −13.0128 9.45434i −1.72358 1.25226i
\(58\) 1.75284 0.324869i 0.230159 0.0426574i
\(59\) −1.74817 + 3.92646i −0.227592 + 0.511181i −0.990859 0.134903i \(-0.956928\pi\)
0.763266 + 0.646084i \(0.223594\pi\)
\(60\) −2.96719 10.0171i −0.383062 1.29320i
\(61\) −3.65564 1.40327i −0.468056 0.179670i 0.112897 0.993607i \(-0.463987\pi\)
−0.580954 + 0.813937i \(0.697320\pi\)
\(62\) −3.48119 + 0.551366i −0.442111 + 0.0700236i
\(63\) −9.29512 + 14.9861i −1.17107 + 1.88808i
\(64\) 2.03777 + 2.80475i 0.254721 + 0.350594i
\(65\) 1.45641 + 7.85808i 0.180645 + 0.974675i
\(66\) −0.219544 + 2.08882i −0.0270240 + 0.257116i
\(67\) 5.64764 3.88152i 0.689969 0.474203i −0.169407 0.985546i \(-0.554185\pi\)
0.859377 + 0.511343i \(0.170852\pi\)
\(68\) −0.163942 + 1.24526i −0.0198809 + 0.151010i
\(69\) −17.7145 + 4.25288i −2.13258 + 0.511987i
\(70\) 2.25045 0.0467809i 0.268980 0.00559139i
\(71\) −0.137626 + 1.74871i −0.0163332 + 0.207533i 0.983336 + 0.181799i \(0.0581922\pi\)
−0.999669 + 0.0257337i \(0.991808\pi\)
\(72\) −2.38755 + 11.2326i −0.281376 + 1.32377i
\(73\) −2.27982 + 8.50841i −0.266833 + 0.995834i 0.694286 + 0.719699i \(0.255720\pi\)
−0.961119 + 0.276135i \(0.910946\pi\)
\(74\) −0.195131 3.72332i −0.0226835 0.432828i
\(75\) −4.63184 + 0.121289i −0.534839 + 0.0140052i
\(76\) −4.84903 + 7.91289i −0.556222 + 0.907671i
\(77\) 3.66681 + 1.43031i 0.417872 + 0.162998i
\(78\) 1.86120 5.72819i 0.210740 0.648590i
\(79\) −3.26795 4.25888i −0.367673 0.479161i 0.572477 0.819921i \(-0.305983\pi\)
−0.940151 + 0.340759i \(0.889316\pi\)
\(80\) −4.90605 + 1.88326i −0.548513 + 0.210554i
\(81\) 13.3631 7.71518i 1.48479 0.857242i
\(82\) 2.58533 + 1.33109i 0.285502 + 0.146995i
\(83\) 8.56075i 0.939664i 0.882756 + 0.469832i \(0.155685\pi\)
−0.882756 + 0.469832i \(0.844315\pi\)
\(84\) 13.1099 + 6.76919i 1.43041 + 0.738580i
\(85\) −1.21192 0.501993i −0.131451 0.0544488i
\(86\) −0.618395 + 0.556806i −0.0666833 + 0.0600419i
\(87\) −6.64673 + 10.2351i −0.712604 + 1.09731i
\(88\) 2.56212 + 0.0670916i 0.273123 + 0.00715199i
\(89\) 0.144887 + 5.53303i 0.0153580 + 0.586500i 0.963356 + 0.268225i \(0.0864369\pi\)
−0.947998 + 0.318275i \(0.896896\pi\)
\(90\) −5.05260 2.57443i −0.532591 0.271369i
\(91\) −9.43255 6.19819i −0.988800 0.649746i
\(92\) 3.24816 + 9.99681i 0.338644 + 1.04224i
\(93\) 13.6666 19.8850i 1.41716 2.06198i
\(94\) −5.53294 1.02547i −0.570679 0.105769i
\(95\) −6.67187 7.03068i −0.684519 0.721333i
\(96\) 14.5474 + 1.91520i 1.48474 + 0.195470i
\(97\) −1.15664 14.6965i −0.117439 1.49220i −0.719913 0.694064i \(-0.755818\pi\)
0.602474 0.798138i \(-0.294182\pi\)
\(98\) −2.15249 + 2.33932i −0.217435 + 0.236307i
\(99\) −6.43961 7.53981i −0.647205 0.757779i
\(100\) 0.279444 + 2.65873i 0.0279444 + 0.265873i
\(101\) 9.20632 2.72704i 0.916063 0.271350i 0.208518 0.978019i \(-0.433136\pi\)
0.707545 + 0.706668i \(0.249803\pi\)
\(102\) 0.622145 + 0.768285i 0.0616015 + 0.0760715i
\(103\) −1.11642 + 2.90838i −0.110004 + 0.286571i −0.977521 0.210836i \(-0.932381\pi\)
0.867517 + 0.497407i \(0.165715\pi\)
\(104\) −7.14670 1.71577i −0.700791 0.168245i
\(105\) −10.3726 + 11.3957i −1.01226 + 1.11210i
\(106\) 2.42355 2.06991i 0.235396 0.201047i
\(107\) 2.27674 + 5.11365i 0.220101 + 0.494355i 0.989521 0.144388i \(-0.0461213\pi\)
−0.769420 + 0.638743i \(0.779455\pi\)
\(108\) −11.5774 16.8452i −1.11403 1.62093i
\(109\) 10.8589 14.1515i 1.04009 1.35547i 0.107633 0.994191i \(-0.465673\pi\)
0.932457 0.361281i \(-0.117661\pi\)
\(110\) −0.359461 + 1.21352i −0.0342732 + 0.115704i
\(111\) 19.4087 + 16.5766i 1.84219 + 1.57338i
\(112\) 2.87708 6.84126i 0.271859 0.646438i
\(113\) −7.70906 + 2.50483i −0.725208 + 0.235634i −0.648280 0.761402i \(-0.724511\pi\)
−0.0769282 + 0.997037i \(0.524511\pi\)
\(114\) 1.89057 + 7.05570i 0.177068 + 0.660827i
\(115\) −10.9629 + 0.574541i −1.02230 + 0.0535762i
\(116\) 6.18806 + 3.35984i 0.574547 + 0.311954i
\(117\) 13.5676 + 24.9884i 1.25432 + 2.31018i
\(118\) 1.73914 0.886138i 0.160101 0.0815756i
\(119\) 1.69646 0.744369i 0.155514 0.0682362i
\(120\) −3.84001 + 9.27060i −0.350543 + 0.846286i
\(121\) 5.52981 6.82875i 0.502710 0.620795i
\(122\) 0.889130 + 1.54002i 0.0804981 + 0.139427i
\(123\) −18.7928 + 6.56558i −1.69449 + 0.591998i
\(124\) −12.0564 6.96079i −1.08270 0.625098i
\(125\) −12.0094 1.90210i −1.07415 0.170129i
\(126\) 7.56349 2.63253i 0.673809 0.234525i
\(127\) −6.03050 1.95943i −0.535120 0.173871i 0.0289760 0.999580i \(-0.490775\pi\)
−0.564096 + 0.825709i \(0.690775\pi\)
\(128\) 0.576413 10.9986i 0.0509482 0.972150i
\(129\) 0.149120 5.69466i 0.0131293 0.501387i
\(130\) 1.73180 3.18957i 0.151889 0.279744i
\(131\) −11.3561 + 7.37475i −0.992189 + 0.644335i −0.935230 0.354042i \(-0.884807\pi\)
−0.0569592 + 0.998377i \(0.518140\pi\)
\(132\) −5.86614 + 5.86614i −0.510582 + 0.510582i
\(133\) 13.6882 + 0.0738567i 1.18692 + 0.00640419i
\(134\) −3.10253 0.244175i −0.268018 0.0210935i
\(135\) 20.1231 7.12596i 1.73192 0.613305i
\(136\) 0.875073 0.830413i 0.0750369 0.0712073i
\(137\) −7.59671 5.82916i −0.649030 0.498019i 0.230989 0.972956i \(-0.425804\pi\)
−0.880019 + 0.474938i \(0.842471\pi\)
\(138\) 7.46742 + 3.56177i 0.635669 + 0.303198i
\(139\) 11.2670 15.5076i 0.955651 1.31534i 0.00668006 0.999978i \(-0.497874\pi\)
0.948971 0.315363i \(-0.102126\pi\)
\(140\) 7.02430 + 5.45040i 0.593662 + 0.460643i
\(141\) 31.1653 22.6429i 2.62459 1.90688i
\(142\) 0.548345 0.577835i 0.0460161 0.0484908i
\(143\) 4.93193 3.99380i 0.412429 0.333978i
\(144\) −14.5302 + 11.7663i −1.21085 + 0.980528i
\(145\) −5.06214 + 5.33438i −0.420388 + 0.442996i
\(146\) 3.23628 2.35130i 0.267836 0.194595i
\(147\) −1.47324 21.7124i −0.121511 1.79081i
\(148\) 8.65618 11.9142i 0.711533 0.979342i
\(149\) −0.786129 0.374965i −0.0644022 0.0307183i 0.398036 0.917370i \(-0.369692\pi\)
−0.462438 + 0.886652i \(0.653025\pi\)
\(150\) 1.66937 + 1.28095i 0.136304 + 0.104589i
\(151\) 14.8293 14.0725i 1.20679 1.14520i 0.221352 0.975194i \(-0.428953\pi\)
0.985442 0.170011i \(-0.0543802\pi\)
\(152\) 8.40244 2.97546i 0.681528 0.241342i
\(153\) −4.65272 0.366177i −0.376150 0.0296037i
\(154\) −0.885348 1.55276i −0.0713433 0.125125i
\(155\) 10.2811 10.2811i 0.825797 0.825797i
\(156\) 19.9519 12.9569i 1.59743 1.03738i
\(157\) −3.23695 + 5.96173i −0.258337 + 0.475798i −0.975173 0.221444i \(-0.928923\pi\)
0.716836 + 0.697242i \(0.245590\pi\)
\(158\) −0.0638163 + 2.43705i −0.00507695 + 0.193881i
\(159\) −1.14191 + 21.7889i −0.0905591 + 1.72797i
\(160\) 8.40904 + 2.73226i 0.664793 + 0.216004i
\(161\) 10.1324 11.7347i 0.798545 0.924825i
\(162\) −6.92118 1.09621i −0.543779 0.0861261i
\(163\) 3.95770 + 2.28498i 0.309991 + 0.178973i 0.646922 0.762556i \(-0.276056\pi\)
−0.336931 + 0.941529i \(0.609389\pi\)
\(164\) 4.62723 + 10.5124i 0.361326 + 0.820877i
\(165\) −4.33215 7.50350i −0.337257 0.584147i
\(166\) 2.44662 3.02133i 0.189895 0.234501i
\(167\) 4.28319 10.3405i 0.331443 0.800175i −0.667035 0.745027i \(-0.732437\pi\)
0.998478 0.0551485i \(-0.0175632\pi\)
\(168\) −5.69407 12.9771i −0.439307 1.00120i
\(169\) −4.63204 + 2.36014i −0.356311 + 0.181549i
\(170\) 0.284253 + 0.523529i 0.0218012 + 0.0401528i
\(171\) −30.3056 16.4546i −2.31753 1.25832i
\(172\) −3.28230 + 0.172018i −0.250273 + 0.0131162i
\(173\) 1.43655 + 5.36129i 0.109219 + 0.407611i 0.998790 0.0491867i \(-0.0156629\pi\)
−0.889571 + 0.456798i \(0.848996\pi\)
\(174\) 5.27096 1.71264i 0.399590 0.129835i
\(175\) 3.14122 2.38353i 0.237454 0.180178i
\(176\) 3.17315 + 2.71012i 0.239185 + 0.204283i
\(177\) −3.79507 + 12.8120i −0.285255 + 0.963005i
\(178\) 1.53018 1.99417i 0.114692 0.149469i
\(179\) 12.4370 + 18.0959i 0.929583 + 1.35255i 0.935785 + 0.352571i \(0.114692\pi\)
−0.00620215 + 0.999981i \(0.501974\pi\)
\(180\) −9.11022 20.4619i −0.679035 1.52514i
\(181\) −11.9600 + 10.2148i −0.888983 + 0.759263i −0.971428 0.237332i \(-0.923727\pi\)
0.0824456 + 0.996596i \(0.473727\pi\)
\(182\) 1.55760 + 4.88330i 0.115457 + 0.361974i
\(183\) −11.8372 2.84187i −0.875034 0.210077i
\(184\) 3.61804 9.42532i 0.266726 0.694844i
\(185\) 9.67932 + 11.9530i 0.711638 + 0.878800i
\(186\) −10.5064 + 3.11213i −0.770364 + 0.228192i
\(187\) 0.108882 + 1.03595i 0.00796226 + 0.0757559i
\(188\) −14.4350 16.9012i −1.05278 1.23264i
\(189\) −12.4110 + 27.4755i −0.902764 + 1.99855i
\(190\) 0.345352 + 4.38812i 0.0250545 + 0.318348i
\(191\) −2.69859 0.355276i −0.195263 0.0257069i 0.0322603 0.999480i \(-0.489729\pi\)
−0.227523 + 0.973773i \(0.573063\pi\)
\(192\) 7.41920 + 7.81820i 0.535434 + 0.564230i
\(193\) 16.2690 + 3.01528i 1.17107 + 0.217045i 0.731934 0.681376i \(-0.238618\pi\)
0.439136 + 0.898421i \(0.355285\pi\)
\(194\) −3.79198 + 5.51737i −0.272248 + 0.396124i
\(195\) 7.67786 + 23.6300i 0.549823 + 1.69218i
\(196\) −12.4222 + 1.83030i −0.887302 + 0.130736i
\(197\) −18.7795 9.56862i −1.33798 0.681736i −0.369130 0.929378i \(-0.620344\pi\)
−0.968852 + 0.247642i \(0.920344\pi\)
\(198\) 0.117874 + 4.50142i 0.00837694 + 0.319902i
\(199\) 14.7583 + 0.386460i 1.04619 + 0.0273954i 0.545402 0.838175i \(-0.316377\pi\)
0.500788 + 0.865570i \(0.333044\pi\)
\(200\) 1.39848 2.15348i 0.0988877 0.152274i
\(201\) 15.8327 14.2558i 1.11675 1.00553i
\(202\) −4.02854 1.66868i −0.283447 0.117408i
\(203\) −0.487583 10.3744i −0.0342216 0.728137i
\(204\) 3.90481i 0.273392i
\(205\) −11.8558 + 1.82640i −0.828042 + 0.127562i
\(206\) 1.22522 0.707380i 0.0853650 0.0492855i
\(207\) −36.4638 + 13.9971i −2.53441 + 0.972869i
\(208\) −7.28478 9.49371i −0.505109 0.658270i
\(209\) −2.37838 + 7.31991i −0.164516 + 0.506329i
\(210\) 6.91761 1.05741i 0.477360 0.0729684i
\(211\) −4.39932 + 7.17903i −0.302861 + 0.494225i −0.967476 0.252961i \(-0.918596\pi\)
0.664615 + 0.747186i \(0.268596\pi\)
\(212\) 12.5846 0.329539i 0.864313 0.0226328i
\(213\) 0.285408 + 5.44590i 0.0195558 + 0.373147i
\(214\) 0.657932 2.45544i 0.0449753 0.167850i
\(215\) 0.713704 3.35771i 0.0486742 0.228994i
\(216\) −1.54033 + 19.5718i −0.104806 + 1.33169i
\(217\) 0.426754 + 20.5295i 0.0289700 + 1.39364i
\(218\) −7.87685 + 1.89106i −0.533488 + 0.128079i
\(219\) −3.57446 + 27.1507i −0.241539 + 1.83467i
\(220\) −4.11988 + 2.83151i −0.277762 + 0.190901i
\(221\) 0.312235 2.97072i 0.0210032 0.199832i
\(222\) −2.11236 11.3973i −0.141772 0.764934i
\(223\) 8.39421 + 11.5536i 0.562118 + 0.773689i 0.991594 0.129389i \(-0.0413017\pi\)
−0.429476 + 0.903078i \(0.641302\pi\)
\(224\) −11.0058 + 5.89899i −0.735355 + 0.394143i
\(225\) −9.81148 + 1.55399i −0.654099 + 0.103599i
\(226\) 3.43662 + 1.31919i 0.228600 + 0.0877514i
\(227\) −7.48225 25.2596i −0.496614 1.67654i −0.713751 0.700400i \(-0.753005\pi\)
0.217136 0.976141i \(-0.430328\pi\)
\(228\) −11.7352 + 26.3577i −0.777183 + 1.74558i
\(229\) −18.2100 + 3.37503i −1.20335 + 0.223028i −0.745810 0.666159i \(-0.767937\pi\)
−0.457544 + 0.889187i \(0.651271\pi\)
\(230\) 4.03332 + 2.93038i 0.265949 + 0.193223i
\(231\) 11.8827 + 2.92067i 0.781822 + 0.192166i
\(232\) −2.58812 6.24829i −0.169919 0.410220i
\(233\) −0.189602 0.0561626i −0.0124212 0.00367933i 0.277799 0.960639i \(-0.410395\pi\)
−0.290220 + 0.956960i \(0.593728\pi\)
\(234\) 2.35319 12.6967i 0.153833 0.830007i
\(235\) 20.9520 9.99358i 1.36676 0.651909i
\(236\) 7.54119 + 1.60293i 0.490890 + 0.104342i
\(237\) −11.8011 11.8011i −0.766562 0.766562i
\(238\) −0.811465 0.222131i −0.0525995 0.0143986i
\(239\) 8.39979 5.14740i 0.543337 0.332958i −0.223598 0.974681i \(-0.571780\pi\)
0.766936 + 0.641724i \(0.221780\pi\)
\(240\) −14.3578 + 7.79562i −0.926789 + 0.503205i
\(241\) −1.20795 0.784451i −0.0778108 0.0505309i 0.505147 0.863033i \(-0.331438\pi\)
−0.582958 + 0.812502i \(0.698105\pi\)
\(242\) −3.90325 + 0.829662i −0.250911 + 0.0533327i
\(243\) 10.9374 8.39256i 0.701634 0.538383i
\(244\) −1.09877 + 6.93739i −0.0703419 + 0.444121i
\(245\) 1.51142 13.0264i 0.0965611 0.832227i
\(246\) 8.50894 + 3.05373i 0.542510 + 0.194699i
\(247\) 11.0356 19.1141i 0.702176 1.21620i
\(248\) 4.79189 + 12.4833i 0.304285 + 0.792691i
\(249\) 3.47390 + 26.3869i 0.220149 + 1.67220i
\(250\) 3.69483 + 4.10353i 0.233682 + 0.259530i
\(251\) −13.6907 26.8696i −0.864151 1.69599i −0.705564 0.708647i \(-0.749306\pi\)
−0.158587 0.987345i \(-0.550694\pi\)
\(252\) 29.7607 + 10.7199i 1.87475 + 0.675289i
\(253\) 4.55481 + 7.43278i 0.286359 + 0.467295i
\(254\) 1.56834 + 2.41503i 0.0984063 + 0.151532i
\(255\) −3.93922 1.05551i −0.246683 0.0660986i
\(256\) 1.29278 1.43578i 0.0807987 0.0897360i
\(257\) 9.30794 + 6.39717i 0.580613 + 0.399044i 0.820408 0.571779i \(-0.193747\pi\)
−0.239794 + 0.970824i \(0.577080\pi\)
\(258\) −1.68014 + 1.96719i −0.104601 + 0.122472i
\(259\) −21.6451 1.82107i −1.34496 0.113156i
\(260\) 13.2443 5.48599i 0.821379 0.340226i
\(261\) −11.2641 + 23.6156i −0.697229 + 1.46177i
\(262\) 6.11557 + 0.642772i 0.377821 + 0.0397106i
\(263\) 3.38438 9.55720i 0.208690 0.589322i −0.791059 0.611740i \(-0.790470\pi\)
0.999749 + 0.0224181i \(0.00713652\pi\)
\(264\) 7.92449 0.832897i 0.487718 0.0512613i
\(265\) −3.06929 + 12.7845i −0.188545 + 0.785347i
\(266\) −4.80986 3.93810i −0.294911 0.241461i
\(267\) 2.69186 + 16.9957i 0.164739 + 1.04012i
\(268\) −8.91663 8.46156i −0.544670 0.516872i
\(269\) −13.8055 6.14659i −0.841735 0.374764i −0.0598651 0.998206i \(-0.519067\pi\)
−0.781870 + 0.623442i \(0.785734\pi\)
\(270\) −9.13858 3.23614i −0.556156 0.196945i
\(271\) −7.25433 + 3.22984i −0.440669 + 0.196199i −0.615064 0.788477i \(-0.710870\pi\)
0.174395 + 0.984676i \(0.444203\pi\)
\(272\) 1.95811 0.154106i 0.118728 0.00934407i
\(273\) −31.5892 15.2771i −1.91187 0.924610i
\(274\) 1.01514 + 4.22838i 0.0613271 + 0.255446i
\(275\) 0.740090 + 2.08995i 0.0446291 + 0.126029i
\(276\) 14.0685 + 29.4952i 0.846823 + 1.77540i
\(277\) 0.929291 + 0.836737i 0.0558357 + 0.0502747i 0.696576 0.717483i \(-0.254706\pi\)
−0.640740 + 0.767758i \(0.721373\pi\)
\(278\) −8.40845 + 2.25304i −0.504305 + 0.135128i
\(279\) 23.4850 46.0919i 1.40601 2.75945i
\(280\) −1.94868 8.31421i −0.116456 0.496869i
\(281\) 13.7286 + 8.41292i 0.818982 + 0.501873i 0.867787 0.496936i \(-0.165542\pi\)
−0.0488058 + 0.998808i \(0.515542\pi\)
\(282\) −17.4704 0.915583i −1.04035 0.0545222i
\(283\) −2.36923 11.1464i −0.140836 0.662583i −0.990754 0.135668i \(-0.956682\pi\)
0.849918 0.526915i \(-0.176651\pi\)
\(284\) 3.11954 0.410696i 0.185111 0.0243703i
\(285\) −23.4178 18.9633i −1.38715 1.12329i
\(286\) −2.88203 −0.170418
\(287\) 9.72946 13.8686i 0.574312 0.818637i
\(288\) 31.4579 1.85367
\(289\) −12.8305 10.3899i −0.754732 0.611170i
\(290\) 3.31112 0.435917i 0.194435 0.0255979i
\(291\) −9.52886 44.8298i −0.558592 2.62797i
\(292\) 15.7788 + 0.826932i 0.923384 + 0.0483925i
\(293\) 21.3559 + 13.0869i 1.24763 + 0.764547i 0.980004 0.198977i \(-0.0637619\pi\)
0.267623 + 0.963524i \(0.413762\pi\)
\(294\) −5.68537 + 8.08398i −0.331577 + 0.471467i
\(295\) −3.65551 + 7.17434i −0.212832 + 0.417706i
\(296\) −13.6628 + 3.66094i −0.794135 + 0.212788i
\(297\) −12.5975 11.3429i −0.730984 0.658181i
\(298\) 0.170284 + 0.357008i 0.00986429 + 0.0206809i
\(299\) −8.34460 23.5644i −0.482580 1.36277i
\(300\) 1.94023 + 8.08163i 0.112019 + 0.466593i
\(301\) 2.72431 + 4.01008i 0.157027 + 0.231137i
\(302\) −9.25556 + 0.728428i −0.532597 + 0.0419163i
\(303\) 27.2701 12.1414i 1.56663 0.697507i
\(304\) 13.6805 + 4.84451i 0.784628 + 0.277851i
\(305\) −6.70150 2.98370i −0.383727 0.170846i
\(306\) 1.53742 + 1.45896i 0.0878887 + 0.0834033i
\(307\) 0.558819 + 3.52824i 0.0318935 + 0.201367i 0.998490 0.0549359i \(-0.0174954\pi\)
−0.966596 + 0.256303i \(0.917495\pi\)
\(308\) 1.14205 6.96709i 0.0650741 0.396987i
\(309\) −2.26096 + 9.41756i −0.128621 + 0.535746i
\(310\) −6.56678 + 0.690197i −0.372968 + 0.0392005i
\(311\) −9.68540 + 27.3507i −0.549209 + 1.55092i 0.261340 + 0.965247i \(0.415836\pi\)
−0.810549 + 0.585671i \(0.800831\pi\)
\(312\) −22.7246 2.38845i −1.28653 0.135219i
\(313\) −4.35071 + 9.12145i −0.245917 + 0.515575i −0.987947 0.154791i \(-0.950530\pi\)
0.742031 + 0.670366i \(0.233863\pi\)
\(314\) 2.84625 1.17895i 0.160623 0.0665323i
\(315\) −18.8589 + 27.1252i −1.06258 + 1.52833i
\(316\) −6.25371 + 7.32216i −0.351799 + 0.411904i
\(317\) −9.58495 6.58756i −0.538345 0.369994i 0.266171 0.963926i \(-0.414242\pi\)
−0.804515 + 0.593932i \(0.797575\pi\)
\(318\) 6.63018 7.36356i 0.371802 0.412928i
\(319\) 5.64066 + 1.51141i 0.315816 + 0.0846228i
\(320\) 3.53734 + 5.44702i 0.197743 + 0.304498i
\(321\) 9.09272 + 14.8380i 0.507506 + 0.828175i
\(322\) −6.92975 + 1.24572i −0.386180 + 0.0694211i
\(323\) 1.64467 + 3.22785i 0.0915120 + 0.179602i
\(324\) −18.5205 20.5691i −1.02891 1.14273i
\(325\) −0.829874 6.30352i −0.0460331 0.349656i
\(326\) −0.743747 1.93753i −0.0411924 0.107310i
\(327\) 27.7278 48.0259i 1.53335 2.65584i
\(328\) 2.90028 10.6437i 0.160141 0.587701i
\(329\) −10.2987 + 31.1238i −0.567787 + 1.71591i
\(330\) −0.615531 + 3.88631i −0.0338838 + 0.213934i
\(331\) 10.5229 8.07448i 0.578389 0.443813i −0.277681 0.960673i \(-0.589566\pi\)
0.856070 + 0.516860i \(0.172899\pi\)
\(332\) 15.0204 3.19268i 0.824350 0.175221i
\(333\) 45.8938 + 29.8038i 2.51496 + 1.63324i
\(334\) −4.46694 + 2.42535i −0.244420 + 0.132709i
\(335\) 10.9464 6.70794i 0.598064 0.366494i
\(336\) 6.09193 22.2544i 0.332342 1.21408i
\(337\) 2.09983 + 2.09983i 0.114385 + 0.114385i 0.761983 0.647597i \(-0.224226\pi\)
−0.647597 + 0.761983i \(0.724226\pi\)
\(338\) 2.30930 + 0.490856i 0.125609 + 0.0266990i
\(339\) −22.7453 + 10.8489i −1.23535 + 0.589234i
\(340\) −0.428802 + 2.31361i −0.0232550 + 0.125473i
\(341\) −11.0702 3.27914i −0.599485 0.177576i
\(342\) 5.99305 + 14.4685i 0.324067 + 0.782368i
\(343\) 11.7984 + 14.2758i 0.637055 + 0.770818i
\(344\) 2.55400 + 1.85559i 0.137702 + 0.100047i
\(345\) −33.5579 + 6.21959i −1.80670 + 0.334851i
\(346\) 1.02523 2.30271i 0.0551169 0.123795i
\(347\) −0.558098 1.88411i −0.0299603 0.101144i 0.942505 0.334192i \(-0.108463\pi\)
−0.972465 + 0.233048i \(0.925130\pi\)
\(348\) 20.4369 + 7.84501i 1.09553 + 0.420536i
\(349\) −0.310146 + 0.0491223i −0.0166017 + 0.00262946i −0.164730 0.986339i \(-0.552675\pi\)
0.148128 + 0.988968i \(0.452675\pi\)
\(350\) −1.78983 0.0565335i −0.0956703 0.00302184i
\(351\) 28.5730 + 39.3274i 1.52511 + 2.09914i
\(352\) −1.27949 6.90352i −0.0681971 0.367959i
\(353\) −0.00632028 + 0.0601335i −0.000336395 + 0.00320058i −0.994689 0.102928i \(-0.967179\pi\)
0.994352 + 0.106129i \(0.0338455\pi\)
\(354\) 5.00099 3.43709i 0.265800 0.182679i
\(355\) −0.428929 + 3.25804i −0.0227652 + 0.172919i
\(356\) 9.65402 2.31772i 0.511662 0.122839i
\(357\) 4.92694 2.98279i 0.260762 0.157866i
\(358\) 0.782373 9.94099i 0.0413497 0.525398i
\(359\) −4.39483 + 20.6761i −0.231950 + 1.09124i 0.695857 + 0.718181i \(0.255025\pi\)
−0.927807 + 0.373060i \(0.878308\pi\)
\(360\) −5.56802 + 20.7801i −0.293460 + 1.09521i
\(361\) 0.406524 + 7.75695i 0.0213960 + 0.408260i
\(362\) 7.14040 0.186978i 0.375291 0.00982734i
\(363\) 14.2735 23.2923i 0.749166 1.22253i
\(364\) −7.35730 + 18.8616i −0.385627 + 0.988617i
\(365\) −5.09938 + 15.6943i −0.266914 + 0.821476i
\(366\) 3.36550 + 4.38601i 0.175918 + 0.229260i
\(367\) 15.9221 6.11191i 0.831125 0.319039i 0.0946557 0.995510i \(-0.469825\pi\)
0.736469 + 0.676471i \(0.236492\pi\)
\(368\) 14.2354 8.21883i 0.742073 0.428436i
\(369\) −38.1087 + 19.2148i −1.98386 + 1.00028i
\(370\) 6.98485i 0.363125i
\(371\) −10.0288 15.6270i −0.520671 0.811314i
\(372\) −39.9864 16.5629i −2.07320 0.858746i
\(373\) −14.6010 + 13.1468i −0.756013 + 0.680717i −0.954107 0.299466i \(-0.903191\pi\)
0.198094 + 0.980183i \(0.436525\pi\)
\(374\) 0.257641 0.396733i 0.0133223 0.0205146i
\(375\) −37.7884 0.989525i −1.95139 0.0510989i
\(376\) 0.558829 + 21.3408i 0.0288194 + 1.10057i
\(377\) −14.9208 7.60252i −0.768460 0.391550i
\(378\) 12.2326 6.14989i 0.629175 0.316316i
\(379\) −4.00390 12.3227i −0.205667 0.632977i −0.999685 0.0250833i \(-0.992015\pi\)
0.794019 0.607893i \(-0.207985\pi\)
\(380\) −9.84755 + 14.3283i −0.505169 + 0.735025i
\(381\) −19.3830 3.59243i −0.993021 0.184046i
\(382\) 0.850872 + 0.896632i 0.0435344 + 0.0458757i
\(383\) 7.75491 + 1.02095i 0.396258 + 0.0521683i 0.326022 0.945362i \(-0.394292\pi\)
0.0702355 + 0.997530i \(0.477625\pi\)
\(384\) −2.68649 34.1351i −0.137094 1.74195i
\(385\) 6.71976 + 3.03538i 0.342471 + 0.154697i
\(386\) −4.88004 5.71379i −0.248388 0.290824i
\(387\) −1.27662 12.1463i −0.0648945 0.617430i
\(388\) −25.3546 + 7.51037i −1.28718 + 0.381281i
\(389\) −14.6329 18.0701i −0.741915 0.916189i 0.256821 0.966459i \(-0.417325\pi\)
−0.998736 + 0.0502703i \(0.983992\pi\)
\(390\) 4.04363 10.5340i 0.204757 0.533410i
\(391\) 3.98979 + 0.957863i 0.201772 + 0.0484412i
\(392\) 10.3787 + 6.14242i 0.524204 + 0.310239i
\(393\) −32.0105 + 27.3395i −1.61471 + 1.37910i
\(394\) 3.89314 + 8.74413i 0.196133 + 0.440523i
\(395\) −5.69623 8.28806i −0.286608 0.417018i
\(396\) −10.8275 + 14.1106i −0.544101 + 0.709086i
\(397\) −3.97339 + 13.4139i −0.199419 + 0.673226i 0.798081 + 0.602550i \(0.205849\pi\)
−0.997499 + 0.0706754i \(0.977485\pi\)
\(398\) −5.09818 4.35426i −0.255549 0.218259i
\(399\) 42.2213 5.32695i 2.11371 0.266681i
\(400\) 3.97604 1.29189i 0.198802 0.0645947i
\(401\) −5.27524 19.6875i −0.263433 0.983145i −0.963203 0.268776i \(-0.913381\pi\)
0.699770 0.714368i \(-0.253286\pi\)
\(402\) −9.66206 + 0.506367i −0.481900 + 0.0252553i
\(403\) 29.0966 + 15.7982i 1.44940 + 0.786962i
\(404\) −8.21820 15.1360i −0.408871 0.753046i
\(405\) 25.7565 13.1236i 1.27985 0.652117i
\(406\) −2.79287 + 3.80075i −0.138608 + 0.188628i
\(407\) 4.67388 11.2837i 0.231675 0.559314i
\(408\) 2.36027 2.91469i 0.116851 0.144299i
\(409\) 13.0974 + 22.6853i 0.647624 + 1.12172i 0.983689 + 0.179879i \(0.0575705\pi\)
−0.336065 + 0.941839i \(0.609096\pi\)
\(410\) 4.70621 + 2.74374i 0.232423 + 0.135503i
\(411\) −25.7808 14.8846i −1.27168 0.734202i
\(412\) 5.51930 + 0.874171i 0.271916 + 0.0430673i
\(413\) −3.73801 10.7396i −0.183935 0.528462i
\(414\) 16.8694 + 5.48121i 0.829088 + 0.269387i
\(415\) −0.839349 + 16.0157i −0.0412020 + 0.786181i
\(416\) −0.527046 + 20.1271i −0.0258405 + 0.986810i
\(417\) 28.4354 52.3714i 1.39249 2.56464i
\(418\) 2.93140 1.90367i 0.143379 0.0931117i
\(419\) −15.7417 + 15.7417i −0.769031 + 0.769031i −0.977936 0.208905i \(-0.933010\pi\)
0.208905 + 0.977936i \(0.433010\pi\)
\(420\) 23.8628 + 13.9494i 1.16439 + 0.680661i
\(421\) 36.0585 + 2.83787i 1.75739 + 0.138309i 0.915753 0.401741i \(-0.131595\pi\)
0.841633 + 0.540050i \(0.181595\pi\)
\(422\) 3.60438 1.27638i 0.175458 0.0621331i
\(423\) 59.9085 56.8510i 2.91285 2.76419i
\(424\) −9.59276 7.36078i −0.465865 0.357471i
\(425\) 0.941913 + 0.449269i 0.0456895 + 0.0217928i
\(426\) 1.45569 2.00358i 0.0705282 0.0970738i
\(427\) 9.59266 3.91291i 0.464221 0.189359i
\(428\) 8.12313 5.90180i 0.392646 0.285274i
\(429\) 13.5811 14.3115i 0.655701 0.690965i
\(430\) −1.21151 + 0.981059i −0.0584240 + 0.0473109i
\(431\) −29.6067 + 23.9750i −1.42610 + 1.15484i −0.462787 + 0.886469i \(0.653151\pi\)
−0.963317 + 0.268367i \(0.913516\pi\)
\(432\) −22.0029 + 23.1862i −1.05861 + 1.11555i
\(433\) 2.58123 1.87538i 0.124046 0.0901248i −0.524032 0.851698i \(-0.675573\pi\)
0.648078 + 0.761574i \(0.275573\pi\)
\(434\) 5.71664 7.36742i 0.274407 0.353647i
\(435\) −13.4384 + 18.4964i −0.644323 + 0.886835i
\(436\) −28.8795 13.7748i −1.38308 0.659695i
\(437\) 24.0526 + 18.4562i 1.15059 + 0.882880i
\(438\) 9.02108 8.56068i 0.431044 0.409045i
\(439\) −7.58381 + 2.68557i −0.361955 + 0.128175i −0.508575 0.861018i \(-0.669827\pi\)
0.146619 + 0.989193i \(0.453161\pi\)
\(440\) 4.78673 + 0.376724i 0.228198 + 0.0179596i
\(441\) −9.20752 45.7396i −0.438453 2.17807i
\(442\) −0.959216 + 0.959216i −0.0456253 + 0.0456253i
\(443\) −11.6765 + 7.58283i −0.554769 + 0.360271i −0.791372 0.611335i \(-0.790633\pi\)
0.236603 + 0.971606i \(0.423966\pi\)
\(444\) 21.8463 40.2359i 1.03678 1.90951i
\(445\) −0.271432 + 10.3656i −0.0128671 + 0.491375i
\(446\) 0.339426 6.47664i 0.0160723 0.306678i
\(447\) −2.57525 0.836750i −0.121805 0.0395769i
\(448\) −9.00972 1.72019i −0.425669 0.0812711i
\(449\) 30.1384 + 4.77346i 1.42232 + 0.225273i 0.819718 0.572768i \(-0.194130\pi\)
0.602603 + 0.798041i \(0.294130\pi\)
\(450\) 3.90687 + 2.25563i 0.184172 + 0.106332i
\(451\) 5.76673 + 7.58153i 0.271545 + 0.357000i
\(452\) 7.26993 + 12.5919i 0.341949 + 0.592273i
\(453\) 39.9981 49.3935i 1.87927 2.32071i
\(454\) −4.57840 + 11.0532i −0.214875 + 0.518754i
\(455\) −17.0390 12.5206i −0.798802 0.586975i
\(456\) 24.6915 12.5809i 1.15629 0.589157i
\(457\) −11.8733 21.8679i −0.555409 1.02294i −0.992351 0.123447i \(-0.960605\pi\)
0.436942 0.899490i \(-0.356061\pi\)
\(458\) 7.39141 + 4.01321i 0.345378 + 0.187525i
\(459\) −7.96801 + 0.417586i −0.371915 + 0.0194912i
\(460\) 5.09662 + 19.0208i 0.237631 + 0.886851i
\(461\) −11.6098 + 3.77225i −0.540722 + 0.175691i −0.566629 0.823973i \(-0.691753\pi\)
0.0259070 + 0.999664i \(0.491753\pi\)
\(462\) −3.35901 4.42680i −0.156275 0.205954i
\(463\) −18.8849 16.1293i −0.877657 0.749590i 0.0915595 0.995800i \(-0.470815\pi\)
−0.969217 + 0.246210i \(0.920815\pi\)
\(464\) 3.12740 10.5579i 0.145186 0.490139i
\(465\) 27.5175 35.8615i 1.27609 1.66304i
\(466\) 0.0508648 + 0.0740087i 0.00235626 + 0.00342839i
\(467\) −1.82376 4.09623i −0.0843935 0.189551i 0.866419 0.499317i \(-0.166416\pi\)
−0.950813 + 0.309766i \(0.899749\pi\)
\(468\) 38.7838 33.1245i 1.79278 1.53118i
\(469\) −3.86529 + 17.7142i −0.178482 + 0.817967i
\(470\) −10.2507 2.46097i −0.472828 0.113516i
\(471\) −7.55806 + 19.6894i −0.348257 + 0.907241i
\(472\) −4.66011 5.75476i −0.214499 0.264884i
\(473\) −2.61361 + 0.774186i −0.120174 + 0.0355971i
\(474\) 0.792237 + 7.53763i 0.0363886 + 0.346215i
\(475\) 5.00776 + 5.86334i 0.229772 + 0.269028i
\(476\) −1.93873 2.69893i −0.0888614 0.123705i
\(477\) 3.67017 + 46.6339i 0.168045 + 2.13522i
\(478\) −4.43563 0.583962i −0.202881 0.0267098i
\(479\) −1.68102 1.77143i −0.0768079 0.0809387i 0.685841 0.727752i \(-0.259435\pi\)
−0.762649 + 0.646813i \(0.776101\pi\)
\(480\) 27.0280 + 5.00934i 1.23365 + 0.228644i
\(481\) −19.8377 + 28.8640i −0.904519 + 1.31608i
\(482\) 0.202127 + 0.622082i 0.00920661 + 0.0283350i
\(483\) 26.4693 40.2817i 1.20440 1.83288i
\(484\) −14.0438 7.15567i −0.638354 0.325258i
\(485\) −0.722943 27.6081i −0.0328271 1.25362i
\(486\) −6.25867 0.163889i −0.283899 0.00743416i
\(487\) −5.80368 + 8.93688i −0.262990 + 0.404969i −0.945355 0.326043i \(-0.894285\pi\)
0.682365 + 0.731011i \(0.260951\pi\)
\(488\) 5.01348 4.51415i 0.226949 0.204346i
\(489\) 13.1261 + 5.43701i 0.593582 + 0.245870i
\(490\) −4.25632 + 4.16543i −0.192281 + 0.188175i
\(491\) 30.6222i 1.38196i 0.722874 + 0.690980i \(0.242821\pi\)
−0.722874 + 0.690980i \(0.757179\pi\)
\(492\) 18.5284 + 30.5246i 0.835325 + 1.37616i
\(493\) 2.38040 1.37432i 0.107208 0.0618965i
\(494\) −9.35750 + 3.59201i −0.421014 + 0.161612i
\(495\) −11.3082 14.7371i −0.508265 0.662383i
\(496\) −6.72753 + 20.7052i −0.302075 + 0.929692i
\(497\) −2.90114 3.62240i −0.130134 0.162487i
\(498\) 6.31522 10.3055i 0.282992 0.461801i
\(499\) −13.2669 + 0.347405i −0.593906 + 0.0155520i −0.321949 0.946757i \(-0.604338\pi\)
−0.271958 + 0.962309i \(0.587671\pi\)
\(500\) 1.14147 + 21.7806i 0.0510482 + 0.974057i
\(501\) 9.00600 33.6108i 0.402358 1.50162i
\(502\) −2.84736 + 13.3958i −0.127084 + 0.597883i
\(503\) −1.05306 + 13.3804i −0.0469535 + 0.596601i 0.927765 + 0.373165i \(0.121727\pi\)
−0.974719 + 0.223436i \(0.928273\pi\)
\(504\) −15.7348 25.9906i −0.700883 1.15771i
\(505\) 17.4909 4.19918i 0.778333 0.186861i
\(506\) 0.516734 3.92498i 0.0229716 0.174487i
\(507\) −13.3196 + 9.15434i −0.591546 + 0.406558i
\(508\) −1.18890 + 11.3117i −0.0527491 + 0.501874i
\(509\) 7.56798 + 40.8332i 0.335445 + 1.80990i 0.552243 + 0.833683i \(0.313772\pi\)
−0.216798 + 0.976216i \(0.569561\pi\)
\(510\) 1.08860 + 1.49833i 0.0482041 + 0.0663472i
\(511\) −11.0096 20.5407i −0.487037 0.908669i
\(512\) −22.6228 + 3.58310i −0.999797 + 0.158352i
\(513\) −55.0394 21.1277i −2.43005 0.932809i
\(514\) −1.45675 4.91791i −0.0642546 0.216920i
\(515\) −2.37379 + 5.33163i −0.104602 + 0.234940i
\(516\) −10.0473 + 1.86215i −0.442306 + 0.0819765i
\(517\) −14.9128 10.8348i −0.655863 0.476513i
\(518\) 7.11872 + 6.82879i 0.312779 + 0.300040i
\(519\) 6.60348 + 15.9422i 0.289861 + 0.699785i
\(520\) −13.2020 3.91062i −0.578948 0.171492i
\(521\) −0.226002 + 1.21940i −0.00990134 + 0.0534229i −0.987843 0.155457i \(-0.950315\pi\)
0.977941 + 0.208880i \(0.0669817\pi\)
\(522\) 10.7247 5.11540i 0.469406 0.223895i
\(523\) 8.66377 + 1.84154i 0.378840 + 0.0805250i 0.393396 0.919369i \(-0.371300\pi\)
−0.0145559 + 0.999894i \(0.504633\pi\)
\(524\) 17.1747 + 17.1747i 0.750279 + 0.750279i
\(525\) 8.71499 8.62145i 0.380353 0.376271i
\(526\) −3.92585 + 2.40576i −0.171175 + 0.104896i
\(527\) −4.77584 + 2.59307i −0.208039 + 0.112956i
\(528\) 10.8804 + 7.06580i 0.473507 + 0.307499i
\(529\) 11.0907 2.35740i 0.482204 0.102496i
\(530\) 4.73700 3.63483i 0.205762 0.157887i
\(531\) −4.48150 + 28.2950i −0.194480 + 1.22790i
\(532\) −4.97536 24.0444i −0.215709 1.04246i
\(533\) −11.6553 24.7042i −0.504848 1.07006i
\(534\) 3.90727 6.76759i 0.169084 0.292862i
\(535\) 3.75803 + 9.79001i 0.162474 + 0.423259i
\(536\) 1.54108 + 11.7057i 0.0665645 + 0.505608i
\(537\) 45.6778 + 50.7303i 1.97114 + 2.18918i
\(538\) 3.11567 + 6.11485i 0.134326 + 0.263630i
\(539\) −9.66318 + 3.88099i −0.416223 + 0.167166i
\(540\) −20.0077 32.6497i −0.860996 1.40502i
\(541\) 16.3922 + 25.2418i 0.704757 + 1.08523i 0.991860 + 0.127331i \(0.0406412\pi\)
−0.287103 + 0.957900i \(0.592692\pi\)
\(542\) 3.48333 + 0.933357i 0.149622 + 0.0400911i
\(543\) −32.7194 + 36.3386i −1.40413 + 1.55944i
\(544\) −2.72352 1.87183i −0.116770 0.0802539i
\(545\) 21.7026 25.4105i 0.929638 1.08847i
\(546\) 6.78262 + 14.4198i 0.290269 + 0.617110i
\(547\) 11.4940 4.76097i 0.491448 0.203564i −0.123176 0.992385i \(-0.539308\pi\)
0.614624 + 0.788820i \(0.289308\pi\)
\(548\) −7.39449 + 15.5029i −0.315877 + 0.662249i
\(549\) −25.9565 2.72814i −1.10780 0.116434i
\(550\) 0.336100 0.949118i 0.0143314 0.0404705i
\(551\) 20.1981 2.12291i 0.860468 0.0904388i
\(552\) 7.32719 30.5199i 0.311866 1.29902i
\(553\) 14.0159 + 2.29748i 0.596015 + 0.0976989i
\(554\) −0.0888372 0.560896i −0.00377433 0.0238302i
\(555\) 34.6851 + 32.9149i 1.47230 + 1.39716i
\(556\) −31.4111 13.9851i −1.33213 0.593101i
\(557\) 28.7775 + 10.1906i 1.21934 + 0.431791i 0.864261 0.503044i \(-0.167787\pi\)
0.355081 + 0.934836i \(0.384453\pi\)
\(558\) −21.4614 + 9.55523i −0.908533 + 0.404505i
\(559\) 7.79269 0.613298i 0.329596 0.0259398i
\(560\) 6.05330 12.5168i 0.255799 0.528930i
\(561\) 0.755989 + 3.14892i 0.0319179 + 0.132948i
\(562\) −2.44085 6.89274i −0.102961 0.290753i
\(563\) −14.7805 30.9879i −0.622923 1.30599i −0.934567 0.355786i \(-0.884213\pi\)
0.311644 0.950199i \(-0.399120\pi\)
\(564\) −51.3514 46.2370i −2.16228 1.94693i
\(565\) −14.6680 + 3.93027i −0.617086 + 0.165348i
\(566\) −2.34941 + 4.61099i −0.0987533 + 0.193814i
\(567\) −11.8059 + 39.0806i −0.495802 + 1.64123i
\(568\) −2.57678 1.57905i −0.108119 0.0662556i
\(569\) 14.1793 + 0.743103i 0.594425 + 0.0311525i 0.347177 0.937800i \(-0.387140\pi\)
0.247248 + 0.968952i \(0.420474\pi\)
\(570\) 2.84515 + 13.3854i 0.119170 + 0.560653i
\(571\) −4.55088 + 0.599134i −0.190448 + 0.0250730i −0.225147 0.974325i \(-0.572286\pi\)
0.0346986 + 0.999398i \(0.488953\pi\)
\(572\) −8.84672 7.16393i −0.369900 0.299539i
\(573\) −8.46205 −0.353507
\(574\) −7.39738 + 2.11398i −0.308761 + 0.0882357i
\(575\) 8.73343 0.364209
\(576\) 17.9581 + 14.5421i 0.748252 + 0.605923i
\(577\) −20.6635 + 2.72040i −0.860232 + 0.113252i −0.547720 0.836662i \(-0.684504\pi\)
−0.312512 + 0.949914i \(0.601171\pi\)
\(578\) 1.55884 + 7.33378i 0.0648393 + 0.305045i
\(579\) 51.3697 + 2.69217i 2.13485 + 0.111883i
\(580\) 11.2474 + 6.89242i 0.467023 + 0.286192i
\(581\) −15.5021 16.5133i −0.643135 0.685088i
\(582\) −9.44915 + 18.5450i −0.391680 + 0.768715i
\(583\) 10.0847 2.70218i 0.417664 0.111913i
\(584\) −11.2780 10.1548i −0.466687 0.420207i
\(585\) 22.9327 + 48.0793i 0.948149 + 1.98784i
\(586\) −3.79692 10.7222i −0.156850 0.442929i
\(587\) 3.09736 + 12.9014i 0.127842 + 0.532499i 0.999129 + 0.0417257i \(0.0132856\pi\)
−0.871287 + 0.490773i \(0.836714\pi\)
\(588\) −37.5464 + 10.6824i −1.54839 + 0.440536i
\(589\) −40.0302 + 3.15044i −1.64941 + 0.129812i
\(590\) 3.34053 1.48730i 0.137527 0.0612311i
\(591\) −61.7670 21.8728i −2.54076 0.899729i
\(592\) −21.0389 9.36711i −0.864692 0.384986i
\(593\) −2.05459 1.94973i −0.0843717 0.0800658i 0.645004 0.764180i \(-0.276856\pi\)
−0.729375 + 0.684114i \(0.760189\pi\)
\(594\) 1.20428 + 7.60355i 0.0494124 + 0.311977i
\(595\) 3.24677 1.22626i 0.133105 0.0502717i
\(596\) −0.364717 + 1.51916i −0.0149394 + 0.0622270i
\(597\) 45.6465 4.79764i 1.86819 0.196355i
\(598\) −3.78956 + 10.7014i −0.154967 + 0.437613i
\(599\) −4.45269 0.467997i −0.181932 0.0191218i 0.0131242 0.999914i \(-0.495822\pi\)
−0.195056 + 0.980792i \(0.562489\pi\)
\(600\) 3.43669 7.20518i 0.140302 0.294150i
\(601\) −16.7751 + 6.94848i −0.684271 + 0.283434i −0.697611 0.716477i \(-0.745754\pi\)
0.0133400 + 0.999911i \(0.495754\pi\)
\(602\) 0.184577 2.19387i 0.00752278 0.0894153i
\(603\) 29.6646 34.7327i 1.20803 1.41443i
\(604\) −30.2216 20.7708i −1.22970 0.845150i
\(605\) 11.0149 12.2333i 0.447819 0.497353i
\(606\) −13.0944 3.50862i −0.531922 0.142528i
\(607\) −12.9431 19.9306i −0.525344 0.808958i 0.472015 0.881590i \(-0.343527\pi\)
−0.997359 + 0.0726322i \(0.976860\pi\)
\(608\) −12.7585 20.8200i −0.517425 0.844361i
\(609\) −5.71273 31.7791i −0.231492 1.28776i
\(610\) 1.51242 + 2.96829i 0.0612361 + 0.120183i
\(611\) 35.3701 + 39.2825i 1.43092 + 1.58920i
\(612\) 1.09272 + 8.30006i 0.0441707 + 0.335510i
\(613\) −0.289886 0.755178i −0.0117084 0.0305014i 0.927602 0.373571i \(-0.121867\pi\)
−0.939310 + 0.343069i \(0.888533\pi\)
\(614\) 0.811133 1.40492i 0.0327347 0.0566981i
\(615\) −35.8020 + 10.4405i −1.44368 + 0.421003i
\(616\) −5.06372 + 4.51016i −0.204023 + 0.181720i
\(617\) −4.15921 + 26.2602i −0.167444 + 1.05720i 0.750611 + 0.660744i \(0.229759\pi\)
−0.918055 + 0.396453i \(0.870241\pi\)
\(618\) 3.48945 2.67755i 0.140366 0.107707i
\(619\) −23.3504 + 4.96327i −0.938530 + 0.199491i −0.651688 0.758487i \(-0.725939\pi\)
−0.286842 + 0.957978i \(0.592606\pi\)
\(620\) −21.8731 14.2046i −0.878445 0.570469i
\(621\) −58.6822 + 31.8618i −2.35484 + 1.27857i
\(622\) 11.2350 6.88480i 0.450482 0.276055i
\(623\) −10.2989 10.4106i −0.412616 0.417092i
\(624\) −26.3064 26.3064i −1.05310 1.05310i
\(625\) −14.9920 3.18665i −0.599680 0.127466i
\(626\) 4.14236 1.97580i 0.165562 0.0789690i
\(627\) −4.36054 + 23.5274i −0.174143 + 0.939593i
\(628\) 11.6674 + 3.45605i 0.465581 + 0.137912i
\(629\) −2.19994 5.31111i −0.0877172 0.211768i
\(630\) 14.4081 4.18346i 0.574034 0.166673i
\(631\) 13.8924 + 10.0934i 0.553047 + 0.401812i 0.828908 0.559385i \(-0.188963\pi\)
−0.275860 + 0.961198i \(0.588963\pi\)
\(632\) 9.09387 1.68545i 0.361735 0.0670436i
\(633\) −10.6468 + 23.9132i −0.423174 + 0.950465i
\(634\) 1.50011 + 5.06427i 0.0595768 + 0.201128i
\(635\) −11.0899 4.25703i −0.440091 0.168935i
\(636\) 38.6559 6.12249i 1.53280 0.242772i
\(637\) 29.4189 5.12474i 1.16562 0.203050i
\(638\) −1.55880 2.14550i −0.0617133 0.0849411i
\(639\) 2.13064 + 11.4959i 0.0842869 + 0.454771i
\(640\) 2.15675 20.5201i 0.0852529 0.811127i
\(641\) 27.0002 18.5567i 1.06644 0.732946i 0.101349 0.994851i \(-0.467684\pi\)
0.965094 + 0.261905i \(0.0843507\pi\)
\(642\) 1.03155 7.83540i 0.0407120 0.309239i
\(643\) 0.515533 0.123769i 0.0203306 0.00488096i −0.223267 0.974757i \(-0.571672\pi\)
0.243598 + 0.969876i \(0.421672\pi\)
\(644\) −24.3681 13.4016i −0.960239 0.528096i
\(645\) 0.837318 10.6391i 0.0329694 0.418915i
\(646\) 0.342054 1.60924i 0.0134580 0.0633147i
\(647\) −1.59484 + 5.95204i −0.0626998 + 0.233999i −0.990164 0.139914i \(-0.955317\pi\)
0.927464 + 0.373913i \(0.121984\pi\)
\(648\) 1.39133 + 26.5482i 0.0546566 + 1.04291i
\(649\) 6.39170 0.167373i 0.250896 0.00656995i
\(650\) −1.50863 + 2.46186i −0.0591734 + 0.0965622i
\(651\) 9.64614 + 63.1052i 0.378062 + 2.47329i
\(652\) 2.53314 7.79621i 0.0992055 0.305323i
\(653\) 26.7238 + 34.8272i 1.04578 + 1.36289i 0.929144 + 0.369717i \(0.120545\pi\)
0.116639 + 0.993174i \(0.462788\pi\)
\(654\) −23.5115 + 9.02522i −0.919373 + 0.352914i
\(655\) −21.9685 + 12.6835i −0.858379 + 0.495585i
\(656\) 14.5756 10.4959i 0.569083 0.409797i
\(657\) 58.7117i 2.29056i
\(658\) 12.5298 8.04115i 0.488461 0.313477i
\(659\) 4.73640 + 1.96188i 0.184504 + 0.0764240i 0.473023 0.881050i \(-0.343163\pi\)
−0.288519 + 0.957474i \(0.593163\pi\)
\(660\) −11.5497 + 10.3994i −0.449572 + 0.404797i
\(661\) 1.20615 1.85730i 0.0469136 0.0722407i −0.814436 0.580254i \(-0.802953\pi\)
0.861349 + 0.508013i \(0.169620\pi\)
\(662\) −6.02147 0.157678i −0.234031 0.00612832i
\(663\) −0.243094 9.28338i −0.00944099 0.360537i
\(664\) −13.1415 6.69595i −0.509991 0.259853i
\(665\) 25.6012 + 1.48025i 0.992770 + 0.0574017i
\(666\) −7.67943 23.6348i −0.297572 0.915832i
\(667\) 13.0290 18.9573i 0.504483 0.734028i
\(668\) −19.7405 3.65869i −0.763784 0.141559i
\(669\) 30.5620 + 32.2056i 1.18159 + 1.24514i
\(670\) −5.78038 0.761002i −0.223316 0.0294001i
\(671\) 0.457035 + 5.80718i 0.0176436 + 0.224184i
\(672\) −31.5295 + 22.6486i −1.21628 + 0.873689i
\(673\) 11.9681 + 14.0129i 0.461338 + 0.540157i 0.941496 0.337025i \(-0.109421\pi\)
−0.480158 + 0.877182i \(0.659421\pi\)
\(674\) −0.140967 1.34121i −0.00542986 0.0516616i
\(675\) −16.2836 + 4.82341i −0.626754 + 0.185653i
\(676\) 5.86851 + 7.24701i 0.225712 + 0.278731i
\(677\) −9.41088 + 24.5162i −0.361689 + 0.942233i 0.625146 + 0.780508i \(0.285039\pi\)
−0.986836 + 0.161726i \(0.948294\pi\)
\(678\) 11.1280 + 2.67161i 0.427370 + 0.102602i
\(679\) 28.8440 + 26.2544i 1.10693 + 1.00755i
\(680\) 1.71853 1.46777i 0.0659027 0.0562863i
\(681\) −33.3128 74.8218i −1.27655 2.86718i
\(682\) 2.96982 + 4.32112i 0.113720 + 0.165464i
\(683\) 24.4129 31.8155i 0.934134 1.21739i −0.0417563 0.999128i \(-0.513295\pi\)
0.975891 0.218260i \(-0.0700380\pi\)
\(684\) −17.5684 + 59.3098i −0.671743 + 2.26777i
\(685\) −13.6406 11.6502i −0.521182 0.445132i
\(686\) −0.0840481 8.41026i −0.00320897 0.321105i
\(687\) −54.7594 + 17.7924i −2.08920 + 0.678823i
\(688\) 1.33032 + 4.96480i 0.0507178 + 0.189281i
\(689\) −29.8983 + 1.56690i −1.13904 + 0.0596943i
\(690\) 13.6211 + 7.39564i 0.518545 + 0.281547i
\(691\) −0.531036 0.978047i −0.0202016 0.0372066i 0.868519 0.495655i \(-0.165072\pi\)
−0.888721 + 0.458449i \(0.848405\pi\)
\(692\) 8.87097 4.51999i 0.337224 0.171824i
\(693\) 26.0751 + 2.88293i 0.990510 + 0.109513i
\(694\) −0.341502 + 0.824458i −0.0129632 + 0.0312960i
\(695\) 22.5991 27.9075i 0.857231 1.05859i
\(696\) −10.5129 18.2089i −0.398491 0.690207i
\(697\) 4.44265 + 0.604012i 0.168278 + 0.0228786i
\(698\) 0.123498 + 0.0713017i 0.00467448 + 0.00269881i
\(699\) −0.607201 0.0961712i −0.0229665 0.00363753i
\(700\) −5.35355 4.62255i −0.202345 0.174716i
\(701\) 32.0824 + 10.4242i 1.21174 + 0.393717i 0.844066 0.536240i \(-0.180156\pi\)
0.367670 + 0.929956i \(0.380156\pi\)
\(702\) 1.15537 22.0458i 0.0436067 0.832065i
\(703\) 1.11190 42.4618i 0.0419361 1.60148i
\(704\) 2.46090 4.53242i 0.0927488 0.170822i
\(705\) 60.5251 39.3055i 2.27951 1.48033i
\(706\) 0.0194165 0.0194165i 0.000730750 0.000730750i
\(707\) −12.8204 + 21.9314i −0.482161 + 0.824817i
\(708\) 23.8947 + 1.88056i 0.898019 + 0.0706757i
\(709\) 35.9781 12.7405i 1.35119 0.478480i 0.442802 0.896619i \(-0.353984\pi\)
0.908383 + 0.418139i \(0.137318\pi\)
\(710\) 1.08252 1.02727i 0.0406261 0.0385527i
\(711\) −28.3867 21.7819i −1.06459 0.816885i
\(712\) −8.60704 4.10535i −0.322563 0.153854i
\(713\) −26.7321 + 36.7936i −1.00112 + 1.37793i
\(714\) −2.59133 0.355389i −0.0969780 0.0133001i
\(715\) 9.61840 6.98818i 0.359708 0.261343i
\(716\) 27.1121 28.5702i 1.01323 1.06772i
\(717\) 23.8020 19.2745i 0.888901 0.719818i
\(718\) 7.46019 6.04114i 0.278412 0.225454i
\(719\) 22.2892 23.4879i 0.831246 0.875950i −0.162604 0.986691i \(-0.551989\pi\)
0.993849 + 0.110741i \(0.0353225\pi\)
\(720\) −28.3373 + 20.5882i −1.05607 + 0.767278i
\(721\) −3.11306 7.63179i −0.115936 0.284223i
\(722\) 2.07343 2.85383i 0.0771650 0.106209i
\(723\) −4.04160 1.92774i −0.150309 0.0716935i
\(724\) 22.3830 + 17.1751i 0.831859 + 0.638307i
\(725\) 4.24373 4.02715i 0.157608 0.149565i
\(726\) −11.6944 + 4.14119i −0.434019 + 0.153694i
\(727\) −42.6943 3.36012i −1.58344 0.124620i −0.744043 0.668132i \(-0.767094\pi\)
−0.839402 + 0.543512i \(0.817094\pi\)
\(728\) 16.8927 9.63183i 0.626083 0.356979i
\(729\) −2.42594 + 2.42594i −0.0898494 + 0.0898494i
\(730\) 6.28508 4.08158i 0.232621 0.151066i
\(731\) −0.612209 + 1.12755i −0.0226434 + 0.0417039i
\(732\) −0.571614 + 21.8291i −0.0211275 + 0.806826i
\(733\) −2.45638 + 46.8706i −0.0907286 + 1.73120i 0.452626 + 0.891701i \(0.350487\pi\)
−0.543354 + 0.839503i \(0.682846\pi\)
\(734\) −7.36610 2.39339i −0.271888 0.0883417i
\(735\) −0.627369 40.7648i −0.0231409 1.50363i
\(736\) −27.3162 4.32646i −1.00689 0.159475i
\(737\) −8.82875 5.09728i −0.325211 0.187761i
\(738\) 18.9411 + 4.10986i 0.697232 + 0.151286i
\(739\) 0.137227 + 0.237684i 0.00504797 + 0.00874335i 0.868538 0.495622i \(-0.165060\pi\)
−0.863490 + 0.504365i \(0.831727\pi\)
\(740\) 17.3624 21.4408i 0.638255 0.788179i
\(741\) 26.2586 63.3939i 0.964634 2.32883i
\(742\) −0.926671 + 8.38141i −0.0340192 + 0.307691i
\(743\) 0.483266 0.246237i 0.0177293 0.00903354i −0.445103 0.895479i \(-0.646833\pi\)
0.462833 + 0.886446i \(0.346833\pi\)
\(744\) 19.8357 + 36.5329i 0.727214 + 1.33936i
\(745\) −1.43395 0.778573i −0.0525360 0.0285247i
\(746\) 8.91043 0.466976i 0.326234 0.0170972i
\(747\) 14.7682 + 55.1157i 0.540340 + 2.01658i
\(748\) 1.77703 0.577391i 0.0649745 0.0211115i
\(749\) −13.6517 5.74122i −0.498823 0.209780i
\(750\) 13.0538 + 11.1490i 0.476658 + 0.407104i
\(751\) −14.0566 + 47.4542i −0.512931 + 1.73163i 0.155484 + 0.987838i \(0.450306\pi\)
−0.668415 + 0.743788i \(0.733027\pi\)
\(752\) −21.1594 + 27.5754i −0.771603 + 1.00557i
\(753\) −53.1026 77.2647i −1.93516 2.81568i
\(754\) 3.09320 + 6.94745i 0.112648 + 0.253011i
\(755\) 29.1230 24.8734i 1.05989 0.905234i
\(756\) 52.8362 + 11.5290i 1.92163 + 0.419305i
\(757\) 13.3731 + 3.21059i 0.486052 + 0.116691i 0.469063 0.883165i \(-0.344592\pi\)
0.0169895 + 0.999856i \(0.494592\pi\)
\(758\) −2.10870 + 5.49334i −0.0765913 + 0.199527i
\(759\) 17.0555 + 21.0618i 0.619076 + 0.764495i
\(760\) 16.0113 4.74276i 0.580790 0.172038i
\(761\) −4.65450 44.2846i −0.168725 1.60531i −0.671572 0.740939i \(-0.734381\pi\)
0.502847 0.864375i \(-0.332286\pi\)
\(762\) 5.81411 + 6.80745i 0.210623 + 0.246608i
\(763\) 4.67979 + 46.9613i 0.169420 + 1.70011i
\(764\) 0.383068 + 4.86734i 0.0138589 + 0.176094i
\(765\) −8.66856 1.14124i −0.313412 0.0412615i
\(766\) −2.44514 2.57664i −0.0883467 0.0930980i
\(767\) −18.0284 3.34136i −0.650967 0.120650i
\(768\) 3.40212 4.95011i 0.122763 0.178622i
\(769\) −10.3322 31.7992i −0.372588 1.14671i −0.945092 0.326805i \(-0.894028\pi\)
0.572504 0.819902i \(-0.305972\pi\)
\(770\) −1.50410 2.99175i −0.0542038 0.107815i
\(771\) 31.2859 + 15.9410i 1.12673 + 0.574100i
\(772\) −0.776925 29.6696i −0.0279621 1.06783i
\(773\) −14.4878 0.379376i −0.521089 0.0136452i −0.235273 0.971929i \(-0.575598\pi\)
−0.285817 + 0.958284i \(0.592265\pi\)
\(774\) −3.02080 + 4.65162i −0.108580 + 0.167199i
\(775\) −8.59591 + 7.73979i −0.308774 + 0.278022i
\(776\) 23.4652 + 9.71959i 0.842351 + 0.348913i
\(777\) −67.4559 + 3.17035i −2.41997 + 0.113736i
\(778\) 10.5594i 0.378574i
\(779\) 28.1729 + 17.4287i 1.00940 + 0.624448i
\(780\) 38.5970 22.2840i 1.38199 0.797895i
\(781\) 2.43615 0.935151i 0.0871723 0.0334623i
\(782\) −1.13436 1.47832i −0.0405645 0.0528647i
\(783\) −13.8227 + 42.5418i −0.493981 + 1.52032i
\(784\) 6.83860 + 18.4064i 0.244236 + 0.657372i
\(785\) −6.64032 + 10.8360i −0.237003 + 0.386754i
\(786\) 19.1109 0.500437i 0.681664 0.0178500i
\(787\) −1.68002 32.0567i −0.0598862 1.14270i −0.848980 0.528425i \(-0.822783\pi\)
0.789094 0.614273i \(-0.210550\pi\)
\(788\) −9.78506 + 36.5183i −0.348578 + 1.30091i
\(789\) 6.55346 30.8316i 0.233309 1.09763i
\(790\) −0.358333 + 4.55305i −0.0127489 + 0.161990i
\(791\) 10.3346 18.7915i 0.367458 0.668150i
\(792\) 16.6112 3.98799i 0.590253 0.141707i
\(793\) 2.18036 16.5615i 0.0774269 0.588116i
\(794\) 5.23596 3.59858i 0.185817 0.127709i
\(795\) −4.27263 + 40.6514i −0.151535 + 1.44176i
\(796\) −4.82596 26.0385i −0.171052 0.922912i
\(797\) −12.6478 17.4082i −0.448009 0.616632i 0.523959 0.851743i \(-0.324454\pi\)
−0.971968 + 0.235112i \(0.924454\pi\)
\(798\) −16.4235 10.1866i −0.581387 0.360603i
\(799\) −8.56947 + 1.35727i −0.303166 + 0.0480168i
\(800\) −6.56683 2.52077i −0.232173 0.0891227i
\(801\) 10.4779 + 35.3727i 0.370218 + 1.24983i
\(802\) −3.76481 + 8.45590i −0.132940 + 0.298588i
\(803\) 12.8844 2.38799i 0.454682 0.0842704i
\(804\) −30.9175 22.4629i −1.09037 0.792204i
\(805\) 20.1066 20.9602i 0.708664 0.738752i
\(806\) −5.75396 13.8913i −0.202675 0.489300i
\(807\) −45.0470 13.3435i −1.58573 0.469715i
\(808\) −3.01464 + 16.2656i −0.106055 + 0.572221i
\(809\) 29.4314 14.0380i 1.03475 0.493551i 0.164613 0.986358i \(-0.447362\pi\)
0.870139 + 0.492807i \(0.164029\pi\)
\(810\) −12.8409 2.72941i −0.451183 0.0959018i
\(811\) 8.75410 + 8.75410i 0.307398 + 0.307398i 0.843899 0.536501i \(-0.180254\pi\)
−0.536501 + 0.843899i \(0.680254\pi\)
\(812\) −18.0206 + 4.72455i −0.632401 + 0.165799i
\(813\) −21.0495 + 12.8991i −0.738237 + 0.452392i
\(814\) −4.87439 + 2.64658i −0.170847 + 0.0927624i
\(815\) 7.18016 + 4.66285i 0.251510 + 0.163333i
\(816\) 5.97296 1.26959i 0.209095 0.0444446i
\(817\) −7.52108 + 5.77113i −0.263129 + 0.201906i
\(818\) 1.86093 11.7495i 0.0650660 0.410811i
\(819\) −71.4211 23.6329i −2.49566 0.825801i
\(820\) 7.62608 + 20.1205i 0.266314 + 0.702640i
\(821\) −16.7059 + 28.9354i −0.583038 + 1.00985i 0.412078 + 0.911148i \(0.364803\pi\)
−0.995117 + 0.0987038i \(0.968530\pi\)
\(822\) 4.84484 + 12.6212i 0.168983 + 0.440216i
\(823\) −2.20624 16.7581i −0.0769048 0.584150i −0.985899 0.167341i \(-0.946482\pi\)
0.908994 0.416809i \(-0.136852\pi\)
\(824\) −3.59140 3.98866i −0.125112 0.138951i
\(825\) 3.12928 + 6.14155i 0.108947 + 0.213821i
\(826\) −1.75009 + 4.85862i −0.0608933 + 0.169053i
\(827\) −6.42556 10.4856i −0.223439 0.364619i 0.721202 0.692724i \(-0.243590\pi\)
−0.944641 + 0.328106i \(0.893590\pi\)
\(828\) 38.1579 + 58.7579i 1.32608 + 2.04198i
\(829\) 44.1456 + 11.8288i 1.53324 + 0.410830i 0.924074 0.382214i \(-0.124838\pi\)
0.609165 + 0.793044i \(0.291505\pi\)
\(830\) 4.87346 5.41252i 0.169160 0.187871i
\(831\) 3.20391 + 2.20198i 0.111142 + 0.0763860i
\(832\) −9.60508 + 11.2461i −0.332996 + 0.389888i
\(833\) −1.92447 + 4.50786i −0.0666788 + 0.156188i
\(834\) −25.0032 + 10.3567i −0.865789 + 0.358622i
\(835\) 9.02699 18.9255i 0.312392 0.654943i
\(836\) 13.7303 + 1.44311i 0.474871 + 0.0499110i
\(837\) 29.5214 83.3658i 1.02041 2.88154i
\(838\) 10.0546 1.05678i 0.347330 0.0365058i
\(839\) −4.98545 + 20.7659i −0.172117 + 0.716918i 0.817828 + 0.575463i \(0.195178\pi\)
−0.989945 + 0.141455i \(0.954822\pi\)
\(840\) −9.38029 24.8362i −0.323651 0.856931i
\(841\) 2.12605 + 13.4234i 0.0733122 + 0.462875i
\(842\) −11.9150 11.3069i −0.410619 0.389663i
\(843\) 45.7298 + 20.3602i 1.57502 + 0.701243i
\(844\) 14.2368 + 5.04150i 0.490050 + 0.173536i
\(845\) −8.89717 + 3.96128i −0.306072 + 0.136272i
\(846\) −37.3912 + 2.94275i −1.28553 + 0.101174i
\(847\) 1.69895 + 23.1859i 0.0583766 + 0.796678i
\(848\) −4.59576 19.1427i −0.157819 0.657364i
\(849\) −11.8258 33.3951i −0.405862 1.14612i
\(850\) −0.204028 0.427754i −0.00699812 0.0146719i
\(851\) −35.7525 32.1917i −1.22558 1.10352i
\(852\) 9.44874 2.53178i 0.323709 0.0867374i
\(853\) 3.48168 6.83317i 0.119210 0.233963i −0.823689 0.567042i \(-0.808088\pi\)
0.942899 + 0.333079i \(0.108088\pi\)
\(854\) −4.50381 1.36057i −0.154117 0.0465576i
\(855\) −55.0834 33.7552i −1.88381 1.15440i
\(856\) −9.63073 0.504725i −0.329172 0.0172512i
\(857\) −6.09532 28.6762i −0.208212 0.979561i −0.950798 0.309810i \(-0.899734\pi\)
0.742586 0.669750i \(-0.233599\pi\)
\(858\) −8.88331 + 1.16951i −0.303271 + 0.0399264i
\(859\) −10.7571 8.71091i −0.367027 0.297212i 0.428010 0.903774i \(-0.359215\pi\)
−0.795036 + 0.606562i \(0.792548\pi\)
\(860\) −6.15750 −0.209969
\(861\) 24.3614 46.6954i 0.830235 1.59138i
\(862\) 17.3010 0.589274
\(863\) 15.7138 + 12.7248i 0.534904 + 0.433157i 0.858331 0.513096i \(-0.171502\pi\)
−0.323427 + 0.946253i \(0.604835\pi\)
\(864\) 53.3207 7.01980i 1.81401 0.238819i
\(865\) 2.16190 + 10.1709i 0.0735067 + 0.345822i
\(866\) −1.44696 0.0758322i −0.0491699 0.00257688i
\(867\) −43.7636 26.8184i −1.48629 0.910799i
\(868\) 35.8612 8.40514i 1.21721 0.285289i
\(869\) −3.62552 + 7.11549i −0.122987 + 0.241376i
\(870\) 10.0290 2.68726i 0.340015 0.0911067i
\(871\) 21.7253 + 19.5616i 0.736135 + 0.662819i
\(872\) 13.2305 + 27.7383i 0.448040 + 0.939336i
\(873\) −32.7997 92.6234i −1.11010 3.13483i
\(874\) −3.21414 13.3878i −0.108720 0.452850i
\(875\) 26.6100 18.0779i 0.899581 0.611144i
\(876\) 48.9707 3.85408i 1.65457 0.130217i
\(877\) 24.6820 10.9891i 0.833450 0.371076i 0.0547716 0.998499i \(-0.482557\pi\)
0.778679 + 0.627423i \(0.215890\pi\)
\(878\) 3.44407 + 1.21961i 0.116232 + 0.0411598i
\(879\) 71.1362 + 31.6719i 2.39936 + 1.06827i
\(880\) 5.67071 + 5.38130i 0.191160 + 0.181404i
\(881\) 7.43564 + 46.9468i 0.250513 + 1.58168i 0.716951 + 0.697123i \(0.245537\pi\)
−0.466438 + 0.884554i \(0.654463\pi\)
\(882\) −9.82258 + 18.7743i −0.330743 + 0.632162i
\(883\) 1.73444 7.22448i 0.0583687 0.243123i −0.935557 0.353175i \(-0.885102\pi\)
0.993926 + 0.110052i \(0.0351019\pi\)
\(884\) −5.32877 + 0.560076i −0.179226 + 0.0188374i
\(885\) −8.35611 + 23.5969i −0.280888 + 0.793202i
\(886\) 6.28812 + 0.660908i 0.211254 + 0.0222036i
\(887\) −12.6495 + 26.5202i −0.424729 + 0.890462i 0.572766 + 0.819719i \(0.305870\pi\)
−0.997495 + 0.0707431i \(0.977463\pi\)
\(888\) −40.6275 + 16.8284i −1.36337 + 0.564726i
\(889\) 15.1808 7.14058i 0.509147 0.239487i
\(890\) 3.05823 3.58073i 0.102512 0.120026i
\(891\) −18.9175 13.0017i −0.633761 0.435572i
\(892\) 17.1410 19.0370i 0.573924 0.637408i
\(893\) −61.9233 16.5923i −2.07219 0.555241i
\(894\) 0.669740 + 1.03131i 0.0223995 + 0.0344921i
\(895\) 21.4933 + 35.0738i 0.718440 + 1.17239i
\(896\) 18.8048 + 22.2597i 0.628224 + 0.743644i
\(897\) −35.2829 69.2466i −1.17806 2.31208i
\(898\) −9.27247 10.2981i −0.309426 0.343653i
\(899\) 3.97661 + 30.2053i 0.132627 + 1.00740i
\(900\) 6.38570 + 16.6353i 0.212857 + 0.554511i
\(901\) 2.45709 4.25580i 0.0818574 0.141781i
\(902\) 0.131525 4.32384i 0.00437931 0.143968i
\(903\) 10.0244 + 11.2548i 0.333592 + 0.374536i
\(904\) 2.18465 13.7933i 0.0726604 0.458760i
\(905\) −23.3768 + 17.9376i −0.777070 + 0.596267i
\(906\) −28.2329 + 6.00109i −0.937975 + 0.199373i
\(907\) 2.84484 + 1.84746i 0.0944615 + 0.0613440i 0.591005 0.806668i \(-0.298731\pi\)
−0.496544 + 0.868012i \(0.665398\pi\)
\(908\) −41.5292 + 22.5485i −1.37820 + 0.748299i
\(909\) 54.5676 33.4390i 1.80989 1.10910i
\(910\) 2.43522 + 9.28855i 0.0807268 + 0.307913i
\(911\) −6.76792 6.76792i −0.224231 0.224231i 0.586046 0.810278i \(-0.300684\pi\)
−0.810278 + 0.586046i \(0.800684\pi\)
\(912\) 44.1333 + 9.38082i 1.46140 + 0.310630i
\(913\) 11.4946 5.48266i 0.380417 0.181449i
\(914\) −2.05933 + 11.1111i −0.0681164 + 0.367523i
\(915\) −21.8669 6.47726i −0.722896 0.214132i
\(916\) 12.7130 + 30.6920i 0.420051 + 1.01409i
\(917\) 8.55104 34.7896i 0.282380 1.14885i
\(918\) 2.93148 + 2.12985i 0.0967533 + 0.0702954i
\(919\) −54.6726 + 10.1330i −1.80348 + 0.334256i −0.974391 0.224859i \(-0.927808\pi\)
−0.829091 + 0.559114i \(0.811141\pi\)
\(920\) 7.69287 17.2785i 0.253626 0.569654i
\(921\) 3.15419 + 10.6484i 0.103934 + 0.350876i
\(922\) 5.17552 + 1.98669i 0.170447 + 0.0654283i
\(923\) −7.39090 + 1.17060i −0.243274 + 0.0385309i
\(924\) 0.692939 21.9382i 0.0227960 0.721712i
\(925\) −7.19210 9.89908i −0.236475 0.325480i
\(926\) 2.05536 + 11.0897i 0.0675432 + 0.364430i
\(927\) −2.17047 + 20.6506i −0.0712875 + 0.678256i
\(928\) −15.2684 + 10.4937i −0.501211 + 0.344473i
\(929\) 6.69519 50.8550i 0.219662 1.66850i −0.425884 0.904778i \(-0.640037\pi\)
0.645546 0.763721i \(-0.276630\pi\)
\(930\) −19.9608 + 4.79216i −0.654540 + 0.157141i
\(931\) −26.5378 + 24.6446i −0.869741 + 0.807696i
\(932\) −0.0278300 + 0.353614i −0.000911602 + 0.0115830i
\(933\) −18.7547 + 88.2337i −0.614000 + 2.88864i
\(934\) −0.527029 + 1.96690i −0.0172449 + 0.0643589i
\(935\) 0.102130 + 1.94876i 0.00334001 + 0.0637312i
\(936\) −48.9717 + 1.28237i −1.60069 + 0.0419155i
\(937\) 8.24712 13.4581i 0.269422 0.439656i −0.689104 0.724662i \(-0.741996\pi\)
0.958526 + 0.285006i \(0.0919957\pi\)
\(938\) 6.42682 5.14717i 0.209843 0.168061i
\(939\) −9.70881 + 29.8806i −0.316835 + 0.975118i
\(940\) −25.3483 33.0345i −0.826770 1.07747i
\(941\) 27.5258 10.5662i 0.897316 0.344447i 0.134386 0.990929i \(-0.457094\pi\)
0.762929 + 0.646482i \(0.223760\pi\)
\(942\) 8.29461 4.78889i 0.270253 0.156031i
\(943\) 35.7340 11.4438i 1.16366 0.372662i
\(944\) 12.0565i 0.392405i
\(945\) −25.9127 + 50.1853i −0.842940 + 1.63253i
\(946\) 1.14368 + 0.473726i 0.0371841 + 0.0154022i
\(947\) 18.1812 16.3704i 0.590810 0.531968i −0.318589 0.947893i \(-0.603209\pi\)
0.909399 + 0.415925i \(0.136542\pi\)
\(948\) −16.3046 + 25.1069i −0.529549 + 0.815434i
\(949\) −37.5643 0.983656i −1.21939 0.0319308i
\(950\) −0.0916647 3.50053i −0.00297400 0.113572i
\(951\) −32.2170 16.4154i −1.04471 0.532305i
\(952\) −0.184239 + 3.18644i −0.00597123 + 0.103273i
\(953\) 1.90476 + 5.86224i 0.0617012 + 0.189897i 0.977156 0.212525i \(-0.0681686\pi\)
−0.915454 + 0.402422i \(0.868169\pi\)
\(954\) 12.0325 17.5073i 0.389565 0.566821i
\(955\) −5.01377 0.929248i −0.162242 0.0300698i
\(956\) −12.1641 12.8183i −0.393415 0.414573i
\(957\) 17.9996 + 2.36969i 0.581844 + 0.0766012i
\(958\) 0.0870139 + 1.10562i 0.00281129 + 0.0357209i
\(959\) 25.2094 2.51217i 0.814053 0.0811221i
\(960\) 13.1135 + 15.3540i 0.423237 + 0.495547i
\(961\) −3.05587 29.0747i −0.0985764 0.937892i
\(962\) 15.2505 4.51739i 0.491695 0.145647i
\(963\) 23.4797 + 28.9950i 0.756623 + 0.934351i
\(964\) −0.925872 + 2.41198i −0.0298203 + 0.0776846i
\(965\) 30.1410 + 7.23621i 0.970272 + 0.232942i
\(966\) −20.8541 + 6.65173i −0.670970 + 0.214016i
\(967\) 43.1829 36.8816i 1.38867 1.18603i 0.429544 0.903046i \(-0.358674\pi\)
0.959124 0.282988i \(-0.0913255\pi\)
\(968\) 6.15752 + 13.8300i 0.197910 + 0.444514i
\(969\) 6.37923 + 9.28184i 0.204930 + 0.298176i
\(970\) −7.63512 + 9.95029i −0.245149 + 0.319484i
\(971\) −3.97981 + 13.4356i −0.127718 + 0.431170i −0.998128 0.0611582i \(-0.980521\pi\)
0.870410 + 0.492328i \(0.163854\pi\)
\(972\) −18.8043 16.0604i −0.603149 0.515138i
\(973\) 6.34825 + 50.3162i 0.203516 + 1.61306i
\(974\) 4.60240 1.49541i 0.147471 0.0479161i
\(975\) −5.11585 19.0926i −0.163838 0.611454i
\(976\) 10.9690 0.574859i 0.351108 0.0184008i
\(977\) 25.4247 + 13.8045i 0.813408 + 0.441644i 0.829691 0.558223i \(-0.188517\pi\)
−0.0162831 + 0.999867i \(0.505183\pi\)
\(978\) −3.07870 5.67025i −0.0984459 0.181315i
\(979\) 7.33648 3.73812i 0.234475 0.119471i
\(980\) −23.4194 + 2.20624i −0.748104 + 0.0704757i
\(981\) 45.4985 109.843i 1.45265 3.50702i
\(982\) 8.75169 10.8074i 0.279278 0.344879i
\(983\) −14.0906 24.4056i −0.449420 0.778419i 0.548928 0.835870i \(-0.315036\pi\)
−0.998348 + 0.0574506i \(0.981703\pi\)
\(984\) 4.62040 33.9842i 0.147293 1.08338i
\(985\) −34.1951 19.7425i −1.08955 0.629049i
\(986\) −1.23289 0.195270i −0.0392631 0.00621866i
\(987\) −19.1140 + 100.112i −0.608406 + 3.18661i
\(988\) −37.6527 12.2341i −1.19789 0.389218i
\(989\) −0.561952 + 10.7227i −0.0178690 + 0.340962i
\(990\) −0.220825 + 8.43297i −0.00701828 + 0.268017i
\(991\) 12.7848 23.5467i 0.406122 0.747984i −0.592206 0.805787i \(-0.701743\pi\)
0.998328 + 0.0578025i \(0.0184094\pi\)
\(992\) 30.7202 19.9500i 0.975369 0.633412i
\(993\) 29.1582 29.1582i 0.925306 0.925306i
\(994\) −0.0113717 + 2.10758i −0.000360690 + 0.0668484i
\(995\) 27.5725 + 2.17000i 0.874106 + 0.0687936i
\(996\) 45.0019 15.9360i 1.42594 0.504952i
\(997\) −2.11030 + 2.00260i −0.0668339 + 0.0634230i −0.721041 0.692893i \(-0.756336\pi\)
0.654207 + 0.756316i \(0.273003\pi\)
\(998\) 4.78154 + 3.66900i 0.151357 + 0.116140i
\(999\) 84.4400 + 40.2758i 2.67156 + 1.27427i
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 287.2.be.a.12.11 832
7.3 odd 6 inner 287.2.be.a.94.16 yes 832
41.24 odd 40 inner 287.2.be.a.229.16 yes 832
287.24 even 120 inner 287.2.be.a.24.11 yes 832
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
287.2.be.a.12.11 832 1.1 even 1 trivial
287.2.be.a.24.11 yes 832 287.24 even 120 inner
287.2.be.a.94.16 yes 832 7.3 odd 6 inner
287.2.be.a.229.16 yes 832 41.24 odd 40 inner