Properties

Label 966.2.r.a.113.5
Level $966$
Weight $2$
Character 966.113
Analytic conductor $7.714$
Analytic rank $0$
Dimension $240$
CM no
Inner twists $2$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [966,2,Mod(113,966)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(966, base_ring=CyclotomicField(22))
 
chi = DirichletCharacter(H, H._module([11, 0, 13]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("966.113");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 966 = 2 \cdot 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 966.r (of order \(22\), degree \(10\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(7.71354883526\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(24\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 113.5
Character \(\chi\) \(=\) 966.113
Dual form 966.2.r.a.701.5

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.540641 + 0.841254i) q^{2} +(-0.618673 - 1.61779i) q^{3} +(-0.415415 - 0.909632i) q^{4} +(-0.285460 - 0.0838187i) q^{5} +(1.69545 + 0.354183i) q^{6} +(-0.755750 - 0.654861i) q^{7} +(0.989821 + 0.142315i) q^{8} +(-2.23449 + 2.00176i) q^{9} +O(q^{10})\) \(q+(-0.540641 + 0.841254i) q^{2} +(-0.618673 - 1.61779i) q^{3} +(-0.415415 - 0.909632i) q^{4} +(-0.285460 - 0.0838187i) q^{5} +(1.69545 + 0.354183i) q^{6} +(-0.755750 - 0.654861i) q^{7} +(0.989821 + 0.142315i) q^{8} +(-2.23449 + 2.00176i) q^{9} +(0.224844 - 0.194829i) q^{10} +(1.63115 - 1.04828i) q^{11} +(-1.21459 + 1.23482i) q^{12} +(-1.94236 - 2.24160i) q^{13} +(0.959493 - 0.281733i) q^{14} +(0.0410054 + 0.513671i) q^{15} +(-0.654861 + 0.755750i) q^{16} +(0.980184 - 2.14630i) q^{17} +(-0.475936 - 2.96201i) q^{18} +(-2.97779 + 1.35991i) q^{19} +(0.0423403 + 0.294483i) q^{20} +(-0.591866 + 1.62779i) q^{21} +1.93895i q^{22} +(0.150396 + 4.79347i) q^{23} +(-0.382140 - 1.68937i) q^{24} +(-4.13181 - 2.65535i) q^{25} +(2.93588 - 0.422115i) q^{26} +(4.62085 + 2.37650i) q^{27} +(-0.281733 + 0.959493i) q^{28} +(-2.22019 - 1.01393i) q^{29} +(-0.454297 - 0.243216i) q^{30} +(0.695433 - 4.83684i) q^{31} +(-0.281733 - 0.959493i) q^{32} +(-2.70504 - 1.99032i) q^{33} +(1.27566 + 1.98496i) q^{34} +(0.160847 + 0.250283i) q^{35} +(2.74911 + 1.20100i) q^{36} +(1.33714 + 4.55389i) q^{37} +(0.465886 - 3.24030i) q^{38} +(-2.42476 + 4.52915i) q^{39} +(-0.270626 - 0.123591i) q^{40} +(-2.00029 + 6.81235i) q^{41} +(-1.04940 - 1.37796i) q^{42} +(-7.38839 + 1.06229i) q^{43} +(-1.63115 - 1.04828i) q^{44} +(0.805643 - 0.384132i) q^{45} +(-4.11384 - 2.46503i) q^{46} +1.33243i q^{47} +(1.62779 + 0.591866i) q^{48} +(0.142315 + 0.989821i) q^{49} +(4.46765 - 2.04031i) q^{50} +(-4.07868 - 0.257873i) q^{51} +(-1.23215 + 2.69803i) q^{52} +(-1.33805 + 1.54419i) q^{53} +(-4.49746 + 2.60248i) q^{54} +(-0.553494 + 0.162521i) q^{55} +(-0.654861 - 0.755750i) q^{56} +(4.04233 + 3.97611i) q^{57} +(2.05330 - 1.31957i) q^{58} +(-9.18500 + 7.95885i) q^{59} +(0.450217 - 0.250686i) q^{60} +(-2.77598 - 0.399125i) q^{61} +(3.69303 + 3.20003i) q^{62} +(2.99959 - 0.0495539i) q^{63} +(0.959493 + 0.281733i) q^{64} +(0.366579 + 0.802695i) q^{65} +(3.13682 - 1.19958i) q^{66} +(-0.933270 + 1.45220i) q^{67} -2.35953 q^{68} +(7.66179 - 3.20890i) q^{69} -0.297512 q^{70} +(-6.42019 + 9.99002i) q^{71} +(-2.49663 + 1.66339i) q^{72} +(1.34183 + 2.93819i) q^{73} +(-4.55389 - 1.33714i) q^{74} +(-1.73956 + 8.32719i) q^{75} +(2.47404 + 2.14377i) q^{76} +(-1.91922 - 0.275942i) q^{77} +(-2.49924 - 4.48848i) q^{78} +(-7.57661 + 6.56517i) q^{79} +(0.250283 - 0.160847i) q^{80} +(0.985878 - 8.94584i) q^{81} +(-4.64948 - 5.36578i) q^{82} +(-4.64382 + 1.36355i) q^{83} +(1.72656 - 0.137828i) q^{84} +(-0.459704 + 0.530527i) q^{85} +(3.10081 - 6.78983i) q^{86} +(-0.266750 + 4.21909i) q^{87} +(1.76374 - 0.805471i) q^{88} +(-2.28659 - 15.9036i) q^{89} +(-0.112411 + 0.885427i) q^{90} +2.96607i q^{91} +(4.29782 - 2.12809i) q^{92} +(-8.25524 + 1.86736i) q^{93} +(-1.12091 - 0.720365i) q^{94} +(0.964028 - 0.138606i) q^{95} +(-1.37796 + 1.04940i) q^{96} +(3.03099 - 10.3226i) q^{97} +(-0.909632 - 0.415415i) q^{98} +(-1.54639 + 5.60755i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240 q - 4 q^{3} + 24 q^{4} - 4 q^{5} + 4 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 240 q - 4 q^{3} + 24 q^{4} - 4 q^{5} + 4 q^{9} + 4 q^{12} - 8 q^{13} + 24 q^{14} + 18 q^{15} - 24 q^{16} + 32 q^{17} - 4 q^{18} + 4 q^{20} - 8 q^{23} + 12 q^{25} - 148 q^{27} + 40 q^{30} + 16 q^{31} + 42 q^{33} - 4 q^{36} + 22 q^{37} + 8 q^{39} + 154 q^{41} + 4 q^{42} + 22 q^{43} + 24 q^{45} + 4 q^{46} - 4 q^{48} + 24 q^{49} + 88 q^{50} + 24 q^{51} + 8 q^{52} - 108 q^{53} + 12 q^{54} - 16 q^{55} - 24 q^{56} - 62 q^{57} - 4 q^{58} + 22 q^{59} - 18 q^{60} - 4 q^{63} + 24 q^{64} - 100 q^{66} - 44 q^{67} - 32 q^{68} - 86 q^{69} + 4 q^{70} + 4 q^{72} - 12 q^{73} - 16 q^{74} - 26 q^{75} - 78 q^{78} - 4 q^{80} + 52 q^{81} + 8 q^{82} + 16 q^{83} - 28 q^{85} + 16 q^{86} - 196 q^{87} + 24 q^{89} + 126 q^{90} + 8 q^{92} - 16 q^{93} - 8 q^{94} + 132 q^{97} + 172 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

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

\(n\) \(323\) \(829\) \(925\)
\(\chi(n)\) \(-1\) \(1\) \(e\left(\frac{13}{22}\right)\)

Coefficient data

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



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.540641 + 0.841254i −0.382291 + 0.594856i
\(3\) −0.618673 1.61779i −0.357191 0.934031i
\(4\) −0.415415 0.909632i −0.207708 0.454816i
\(5\) −0.285460 0.0838187i −0.127662 0.0374849i 0.217278 0.976110i \(-0.430282\pi\)
−0.344939 + 0.938625i \(0.612100\pi\)
\(6\) 1.69545 + 0.354183i 0.692165 + 0.144595i
\(7\) −0.755750 0.654861i −0.285646 0.247514i
\(8\) 0.989821 + 0.142315i 0.349955 + 0.0503159i
\(9\) −2.23449 + 2.00176i −0.744830 + 0.667255i
\(10\) 0.224844 0.194829i 0.0711020 0.0616102i
\(11\) 1.63115 1.04828i 0.491811 0.316068i −0.271122 0.962545i \(-0.587395\pi\)
0.762933 + 0.646477i \(0.223758\pi\)
\(12\) −1.21459 + 1.23482i −0.350621 + 0.356461i
\(13\) −1.94236 2.24160i −0.538714 0.621709i 0.419502 0.907754i \(-0.362205\pi\)
−0.958216 + 0.286045i \(0.907659\pi\)
\(14\) 0.959493 0.281733i 0.256435 0.0752962i
\(15\) 0.0410054 + 0.513671i 0.0105875 + 0.132629i
\(16\) −0.654861 + 0.755750i −0.163715 + 0.188937i
\(17\) 0.980184 2.14630i 0.237730 0.520555i −0.752735 0.658324i \(-0.771266\pi\)
0.990464 + 0.137769i \(0.0439931\pi\)
\(18\) −0.475936 2.96201i −0.112179 0.698152i
\(19\) −2.97779 + 1.35991i −0.683153 + 0.311986i −0.726591 0.687071i \(-0.758896\pi\)
0.0434377 + 0.999056i \(0.486169\pi\)
\(20\) 0.0423403 + 0.294483i 0.00946758 + 0.0658485i
\(21\) −0.591866 + 1.62779i −0.129156 + 0.355213i
\(22\) 1.93895i 0.413387i
\(23\) 0.150396 + 4.79347i 0.0313596 + 0.999508i
\(24\) −0.382140 1.68937i −0.0780040 0.344841i
\(25\) −4.13181 2.65535i −0.826361 0.531070i
\(26\) 2.93588 0.422115i 0.575773 0.0827837i
\(27\) 4.62085 + 2.37650i 0.889283 + 0.457357i
\(28\) −0.281733 + 0.959493i −0.0532424 + 0.181327i
\(29\) −2.22019 1.01393i −0.412279 0.188282i 0.198468 0.980107i \(-0.436403\pi\)
−0.610747 + 0.791826i \(0.709131\pi\)
\(30\) −0.454297 0.243216i −0.0829428 0.0444049i
\(31\) 0.695433 4.83684i 0.124903 0.868722i −0.826973 0.562241i \(-0.809939\pi\)
0.951877 0.306481i \(-0.0991516\pi\)
\(32\) −0.281733 0.959493i −0.0498038 0.169616i
\(33\) −2.70504 1.99032i −0.470888 0.346470i
\(34\) 1.27566 + 1.98496i 0.218774 + 0.340418i
\(35\) 0.160847 + 0.250283i 0.0271881 + 0.0423055i
\(36\) 2.74911 + 1.20100i 0.458185 + 0.200167i
\(37\) 1.33714 + 4.55389i 0.219825 + 0.748655i 0.993375 + 0.114920i \(0.0366610\pi\)
−0.773550 + 0.633735i \(0.781521\pi\)
\(38\) 0.465886 3.24030i 0.0755766 0.525647i
\(39\) −2.42476 + 4.52915i −0.388272 + 0.725245i
\(40\) −0.270626 0.123591i −0.0427897 0.0195414i
\(41\) −2.00029 + 6.81235i −0.312392 + 1.06391i 0.642334 + 0.766425i \(0.277966\pi\)
−0.954726 + 0.297486i \(0.903852\pi\)
\(42\) −1.04940 1.37796i −0.161925 0.212624i
\(43\) −7.38839 + 1.06229i −1.12672 + 0.161998i −0.680375 0.732864i \(-0.738183\pi\)
−0.446344 + 0.894862i \(0.647274\pi\)
\(44\) −1.63115 1.04828i −0.245906 0.158034i
\(45\) 0.805643 0.384132i 0.120098 0.0572631i
\(46\) −4.11384 2.46503i −0.606552 0.363448i
\(47\) 1.33243i 0.194355i 0.995267 + 0.0971773i \(0.0309814\pi\)
−0.995267 + 0.0971773i \(0.969019\pi\)
\(48\) 1.62779 + 0.591866i 0.234951 + 0.0854284i
\(49\) 0.142315 + 0.989821i 0.0203307 + 0.141403i
\(50\) 4.46765 2.04031i 0.631821 0.288543i
\(51\) −4.07868 0.257873i −0.571130 0.0361094i
\(52\) −1.23215 + 2.69803i −0.170868 + 0.374149i
\(53\) −1.33805 + 1.54419i −0.183795 + 0.212111i −0.840169 0.542325i \(-0.817544\pi\)
0.656373 + 0.754436i \(0.272090\pi\)
\(54\) −4.49746 + 2.60248i −0.612026 + 0.354152i
\(55\) −0.553494 + 0.162521i −0.0746332 + 0.0219143i
\(56\) −0.654861 0.755750i −0.0875094 0.100991i
\(57\) 4.04233 + 3.97611i 0.535420 + 0.526648i
\(58\) 2.05330 1.31957i 0.269611 0.173268i
\(59\) −9.18500 + 7.95885i −1.19579 + 1.03615i −0.197344 + 0.980334i \(0.563232\pi\)
−0.998441 + 0.0558194i \(0.982223\pi\)
\(60\) 0.450217 0.250686i 0.0581228 0.0323635i
\(61\) −2.77598 0.399125i −0.355427 0.0511027i −0.0377114 0.999289i \(-0.512007\pi\)
−0.317716 + 0.948186i \(0.602916\pi\)
\(62\) 3.69303 + 3.20003i 0.469015 + 0.406404i
\(63\) 2.99959 0.0495539i 0.377913 0.00624320i
\(64\) 0.959493 + 0.281733i 0.119937 + 0.0352166i
\(65\) 0.366579 + 0.802695i 0.0454685 + 0.0995621i
\(66\) 3.13682 1.19958i 0.386116 0.147658i
\(67\) −0.933270 + 1.45220i −0.114017 + 0.177414i −0.893572 0.448920i \(-0.851809\pi\)
0.779555 + 0.626334i \(0.215445\pi\)
\(68\) −2.35953 −0.286135
\(69\) 7.66179 3.20890i 0.922371 0.386306i
\(70\) −0.297512 −0.0355594
\(71\) −6.42019 + 9.99002i −0.761937 + 1.18560i 0.215938 + 0.976407i \(0.430719\pi\)
−0.977875 + 0.209190i \(0.932917\pi\)
\(72\) −2.49663 + 1.66339i −0.294230 + 0.196032i
\(73\) 1.34183 + 2.93819i 0.157049 + 0.343889i 0.971758 0.235981i \(-0.0758304\pi\)
−0.814709 + 0.579871i \(0.803103\pi\)
\(74\) −4.55389 1.33714i −0.529379 0.155440i
\(75\) −1.73956 + 8.32719i −0.200868 + 0.961541i
\(76\) 2.47404 + 2.14377i 0.283792 + 0.245907i
\(77\) −1.91922 0.275942i −0.218715 0.0314465i
\(78\) −2.49924 4.48848i −0.282983 0.508220i
\(79\) −7.57661 + 6.56517i −0.852436 + 0.738640i −0.967000 0.254776i \(-0.917998\pi\)
0.114564 + 0.993416i \(0.463453\pi\)
\(80\) 0.250283 0.160847i 0.0279824 0.0179832i
\(81\) 0.985878 8.94584i 0.109542 0.993982i
\(82\) −4.64948 5.36578i −0.513449 0.592552i
\(83\) −4.64382 + 1.36355i −0.509725 + 0.149669i −0.526475 0.850191i \(-0.676486\pi\)
0.0167492 + 0.999860i \(0.494668\pi\)
\(84\) 1.72656 0.137828i 0.188383 0.0150383i
\(85\) −0.459704 + 0.530527i −0.0498619 + 0.0575437i
\(86\) 3.10081 6.78983i 0.334369 0.732166i
\(87\) −0.266750 + 4.21909i −0.0285986 + 0.452334i
\(88\) 1.76374 0.805471i 0.188015 0.0858635i
\(89\) −2.28659 15.9036i −0.242378 1.68578i −0.640115 0.768279i \(-0.721113\pi\)
0.397736 0.917500i \(-0.369796\pi\)
\(90\) −0.112411 + 0.885427i −0.0118491 + 0.0933322i
\(91\) 2.96607i 0.310928i
\(92\) 4.29782 2.12809i 0.448079 0.221868i
\(93\) −8.25524 + 1.86736i −0.856028 + 0.193636i
\(94\) −1.12091 0.720365i −0.115613 0.0743000i
\(95\) 0.964028 0.138606i 0.0989072 0.0142207i
\(96\) −1.37796 + 1.04940i −0.140637 + 0.107104i
\(97\) 3.03099 10.3226i 0.307751 1.04810i −0.649864 0.760050i \(-0.725174\pi\)
0.957615 0.288052i \(-0.0930075\pi\)
\(98\) −0.909632 0.415415i −0.0918867 0.0419633i
\(99\) −1.54639 + 5.60755i −0.155418 + 0.563580i
\(100\) −0.698977 + 4.86150i −0.0698977 + 0.486150i
\(101\) −0.974009 3.31717i −0.0969175 0.330071i 0.896734 0.442569i \(-0.145933\pi\)
−0.993652 + 0.112498i \(0.964115\pi\)
\(102\) 2.42204 3.29179i 0.239817 0.325936i
\(103\) −5.60727 8.72508i −0.552501 0.859708i 0.446891 0.894589i \(-0.352531\pi\)
−0.999391 + 0.0348805i \(0.988895\pi\)
\(104\) −1.60358 2.49522i −0.157244 0.244676i
\(105\) 0.305393 0.415059i 0.0298033 0.0405057i
\(106\) −0.575653 1.96049i −0.0559123 0.190420i
\(107\) −1.61193 + 11.2112i −0.155832 + 1.08383i 0.750380 + 0.661007i \(0.229871\pi\)
−0.906211 + 0.422825i \(0.861038\pi\)
\(108\) 0.242166 5.19051i 0.0233024 0.499457i
\(109\) −8.78918 4.01388i −0.841850 0.384460i −0.0526628 0.998612i \(-0.516771\pi\)
−0.789188 + 0.614152i \(0.789498\pi\)
\(110\) 0.162521 0.553494i 0.0154957 0.0527736i
\(111\) 6.53998 4.98058i 0.620748 0.472736i
\(112\) 0.989821 0.142315i 0.0935293 0.0134475i
\(113\) 4.48480 + 2.88221i 0.421895 + 0.271135i 0.734315 0.678809i \(-0.237503\pi\)
−0.312420 + 0.949944i \(0.601140\pi\)
\(114\) −5.53036 + 1.25098i −0.517966 + 0.117165i
\(115\) 0.358851 1.38095i 0.0334630 0.128774i
\(116\) 2.44076i 0.226619i
\(117\) 8.82735 + 1.12069i 0.816089 + 0.103608i
\(118\) −1.72962 12.0298i −0.159225 1.10743i
\(119\) −2.14630 + 0.980184i −0.196751 + 0.0898533i
\(120\) −0.0325150 + 0.514278i −0.00296820 + 0.0469470i
\(121\) −3.00779 + 6.58615i −0.273436 + 0.598741i
\(122\) 1.83657 2.11952i 0.166275 0.191892i
\(123\) 12.2585 0.978571i 1.10531 0.0882348i
\(124\) −4.68864 + 1.37671i −0.421052 + 0.123632i
\(125\) 1.93104 + 2.22854i 0.172718 + 0.199327i
\(126\) −1.58001 + 2.55021i −0.140759 + 0.227191i
\(127\) 11.7109 7.52613i 1.03917 0.667836i 0.0943912 0.995535i \(-0.469910\pi\)
0.944782 + 0.327699i \(0.106273\pi\)
\(128\) −0.755750 + 0.654861i −0.0667995 + 0.0578821i
\(129\) 6.28956 + 11.2957i 0.553765 + 0.994527i
\(130\) −0.873457 0.125584i −0.0766073 0.0110145i
\(131\) −6.23110 5.39928i −0.544414 0.471737i 0.338701 0.940894i \(-0.390012\pi\)
−0.883115 + 0.469157i \(0.844558\pi\)
\(132\) −0.686744 + 3.28740i −0.0597734 + 0.286132i
\(133\) 3.14102 + 0.922287i 0.272361 + 0.0799724i
\(134\) −0.717101 1.57023i −0.0619481 0.135647i
\(135\) −1.11987 1.06571i −0.0963834 0.0917216i
\(136\) 1.27566 1.98496i 0.109387 0.170209i
\(137\) 11.6909 0.998818 0.499409 0.866366i \(-0.333550\pi\)
0.499409 + 0.866366i \(0.333550\pi\)
\(138\) −1.44278 + 8.18037i −0.122817 + 0.696359i
\(139\) 12.5531 1.06474 0.532370 0.846511i \(-0.321301\pi\)
0.532370 + 0.846511i \(0.321301\pi\)
\(140\) 0.160847 0.250283i 0.0135940 0.0211527i
\(141\) 2.15559 0.824336i 0.181533 0.0694217i
\(142\) −4.93312 10.8020i −0.413978 0.906486i
\(143\) −5.51811 1.62026i −0.461448 0.135493i
\(144\) −0.0495539 2.99959i −0.00412949 0.249966i
\(145\) 0.548790 + 0.475530i 0.0455746 + 0.0394906i
\(146\) −3.19721 0.459689i −0.264603 0.0380442i
\(147\) 1.51328 0.842611i 0.124813 0.0694974i
\(148\) 3.58690 3.10806i 0.294841 0.255481i
\(149\) 6.39045 4.10689i 0.523526 0.336450i −0.252039 0.967717i \(-0.581101\pi\)
0.775565 + 0.631267i \(0.217465\pi\)
\(150\) −6.06480 5.96543i −0.495188 0.487075i
\(151\) −12.7192 14.6787i −1.03507 1.19454i −0.980599 0.196025i \(-0.937197\pi\)
−0.0544756 0.998515i \(-0.517349\pi\)
\(152\) −3.14102 + 0.922287i −0.254770 + 0.0748073i
\(153\) 2.10618 + 6.75799i 0.170275 + 0.546351i
\(154\) 1.26975 1.46536i 0.102319 0.118082i
\(155\) −0.603936 + 1.32244i −0.0485093 + 0.106221i
\(156\) 5.12714 + 0.324161i 0.410500 + 0.0259537i
\(157\) 17.7841 8.12174i 1.41933 0.648185i 0.449792 0.893133i \(-0.351498\pi\)
0.969536 + 0.244948i \(0.0787709\pi\)
\(158\) −1.42675 9.92325i −0.113506 0.789452i
\(159\) 3.32599 + 1.20934i 0.263769 + 0.0959065i
\(160\) 0.297512i 0.0235204i
\(161\) 3.02540 3.72115i 0.238435 0.293268i
\(162\) 6.99271 + 5.66586i 0.549399 + 0.445152i
\(163\) −17.0369 10.9490i −1.33443 0.857588i −0.337932 0.941170i \(-0.609727\pi\)
−0.996501 + 0.0835823i \(0.973364\pi\)
\(164\) 7.02768 1.01043i 0.548770 0.0789012i
\(165\) 0.605356 + 0.794891i 0.0471269 + 0.0618822i
\(166\) 1.36355 4.64382i 0.105832 0.360430i
\(167\) 12.0371 + 5.49716i 0.931459 + 0.425383i 0.822565 0.568671i \(-0.192542\pi\)
0.108893 + 0.994053i \(0.465269\pi\)
\(168\) −0.817500 + 1.52699i −0.0630715 + 0.117810i
\(169\) 0.598070 4.15967i 0.0460054 0.319974i
\(170\) −0.197773 0.673552i −0.0151685 0.0516591i
\(171\) 3.93162 8.99955i 0.300659 0.688213i
\(172\) 4.03554 + 6.27942i 0.307707 + 0.478802i
\(173\) −6.74172 10.4903i −0.512564 0.797564i 0.484448 0.874820i \(-0.339021\pi\)
−0.997011 + 0.0772557i \(0.975384\pi\)
\(174\) −3.40511 2.50542i −0.258141 0.189935i
\(175\) 1.38373 + 4.71254i 0.104600 + 0.356234i
\(176\) −0.275942 + 1.91922i −0.0207999 + 0.144667i
\(177\) 18.5583 + 9.93548i 1.39492 + 0.746796i
\(178\) 14.6152 + 6.67454i 1.09546 + 0.500278i
\(179\) −4.61789 + 15.7271i −0.345158 + 1.17550i 0.585826 + 0.810437i \(0.300770\pi\)
−0.930983 + 0.365062i \(0.881048\pi\)
\(180\) −0.684095 0.573264i −0.0509894 0.0427286i
\(181\) 5.07360 0.729474i 0.377118 0.0542214i 0.0488502 0.998806i \(-0.484444\pi\)
0.328268 + 0.944585i \(0.393535\pi\)
\(182\) −2.49522 1.60358i −0.184958 0.118865i
\(183\) 1.07172 + 4.73787i 0.0792238 + 0.350234i
\(184\) −0.533318 + 4.76609i −0.0393167 + 0.351360i
\(185\) 1.41203i 0.103815i
\(186\) 2.89220 7.95432i 0.212066 0.583239i
\(187\) −0.651093 4.52845i −0.0476127 0.331153i
\(188\) 1.21202 0.553510i 0.0883956 0.0403689i
\(189\) −1.93593 4.82205i −0.140818 0.350753i
\(190\) −0.404590 + 0.885928i −0.0293520 + 0.0642720i
\(191\) −3.57327 + 4.12377i −0.258553 + 0.298386i −0.870154 0.492781i \(-0.835980\pi\)
0.611601 + 0.791167i \(0.290526\pi\)
\(192\) −0.137828 1.72656i −0.00994687 0.124604i
\(193\) −7.14983 + 2.09938i −0.514656 + 0.151117i −0.528739 0.848784i \(-0.677335\pi\)
0.0140835 + 0.999901i \(0.495517\pi\)
\(194\) 7.04525 + 8.13065i 0.505820 + 0.583747i
\(195\) 1.07180 1.08965i 0.0767532 0.0780316i
\(196\) 0.841254 0.540641i 0.0600895 0.0386172i
\(197\) −10.3877 + 9.00095i −0.740089 + 0.641291i −0.941034 0.338311i \(-0.890144\pi\)
0.200945 + 0.979603i \(0.435599\pi\)
\(198\) −3.88133 4.33257i −0.275834 0.307903i
\(199\) −0.839814 0.120747i −0.0595328 0.00855953i 0.112484 0.993654i \(-0.464119\pi\)
−0.172017 + 0.985094i \(0.555028\pi\)
\(200\) −3.71185 3.21634i −0.262468 0.227430i
\(201\) 2.92674 + 0.611400i 0.206436 + 0.0431249i
\(202\) 3.31717 + 0.974009i 0.233395 + 0.0685311i
\(203\) 1.01393 + 2.22019i 0.0711638 + 0.155827i
\(204\) 1.45978 + 3.81722i 0.102205 + 0.267259i
\(205\) 1.14200 1.77699i 0.0797610 0.124111i
\(206\) 10.3715 0.722619
\(207\) −9.93146 10.4099i −0.690284 0.723538i
\(208\) 2.96607 0.205660
\(209\) −3.43167 + 5.33978i −0.237374 + 0.369361i
\(210\) 0.184062 + 0.481311i 0.0127015 + 0.0332136i
\(211\) −4.18130 9.15578i −0.287853 0.630310i 0.709366 0.704840i \(-0.248981\pi\)
−0.997219 + 0.0745307i \(0.976254\pi\)
\(212\) 1.96049 + 0.575653i 0.134647 + 0.0395360i
\(213\) 20.1337 + 4.20598i 1.37954 + 0.288189i
\(214\) −8.56002 7.41730i −0.585151 0.507036i
\(215\) 2.19813 + 0.316044i 0.149911 + 0.0215540i
\(216\) 4.23561 + 3.00992i 0.288197 + 0.204799i
\(217\) −3.69303 + 3.20003i −0.250699 + 0.217232i
\(218\) 8.12848 5.22386i 0.550530 0.353804i
\(219\) 3.92322 3.98857i 0.265107 0.269523i
\(220\) 0.377764 + 0.435963i 0.0254688 + 0.0293926i
\(221\) −6.71504 + 1.97171i −0.451702 + 0.132632i
\(222\) 0.654151 + 8.19449i 0.0439037 + 0.549978i
\(223\) 2.36457 2.72886i 0.158343 0.182738i −0.671034 0.741426i \(-0.734150\pi\)
0.829378 + 0.558688i \(0.188695\pi\)
\(224\) −0.415415 + 0.909632i −0.0277561 + 0.0607773i
\(225\) 14.5479 2.33755i 0.969857 0.155837i
\(226\) −4.84934 + 2.21462i −0.322573 + 0.147314i
\(227\) 2.37583 + 16.5243i 0.157689 + 1.09675i 0.902877 + 0.429899i \(0.141451\pi\)
−0.745188 + 0.666855i \(0.767640\pi\)
\(228\) 1.93755 5.32877i 0.128317 0.352906i
\(229\) 4.36383i 0.288370i −0.989551 0.144185i \(-0.953944\pi\)
0.989551 0.144185i \(-0.0460560\pi\)
\(230\) 0.967721 + 1.04848i 0.0638096 + 0.0691349i
\(231\) 0.740952 + 3.27561i 0.0487511 + 0.215519i
\(232\) −2.05330 1.31957i −0.134806 0.0866342i
\(233\) 25.9973 3.73784i 1.70314 0.244874i 0.779025 0.626993i \(-0.215715\pi\)
0.924113 + 0.382119i \(0.124806\pi\)
\(234\) −5.71521 + 6.82015i −0.373615 + 0.445847i
\(235\) 0.111682 0.380355i 0.00728535 0.0248116i
\(236\) 11.0552 + 5.04874i 0.719633 + 0.328645i
\(237\) 15.3085 + 8.19568i 0.994395 + 0.532366i
\(238\) 0.335796 2.33551i 0.0217664 0.151389i
\(239\) −3.34005 11.3752i −0.216050 0.735799i −0.994183 0.107700i \(-0.965651\pi\)
0.778133 0.628099i \(-0.216167\pi\)
\(240\) −0.415059 0.305393i −0.0267920 0.0197130i
\(241\) 2.07018 + 3.22126i 0.133352 + 0.207500i 0.901507 0.432764i \(-0.142462\pi\)
−0.768155 + 0.640263i \(0.778825\pi\)
\(242\) −3.91448 6.09106i −0.251633 0.391548i
\(243\) −15.0824 + 3.93960i −0.967538 + 0.252726i
\(244\) 0.790125 + 2.69092i 0.0505826 + 0.172268i
\(245\) 0.0423403 0.294483i 0.00270502 0.0188138i
\(246\) −5.80421 + 10.8415i −0.370063 + 0.691231i
\(247\) 8.83234 + 4.03360i 0.561988 + 0.256652i
\(248\) 1.37671 4.68864i 0.0874211 0.297729i
\(249\) 5.07894 + 6.66913i 0.321865 + 0.422639i
\(250\) −2.91877 + 0.419655i −0.184599 + 0.0265413i
\(251\) −13.0813 8.40684i −0.825684 0.530635i 0.0582194 0.998304i \(-0.481458\pi\)
−0.883904 + 0.467669i \(0.845094\pi\)
\(252\) −1.29115 2.70794i −0.0813349 0.170584i
\(253\) 5.27021 + 7.66123i 0.331335 + 0.481657i
\(254\) 13.9208i 0.873466i
\(255\) 1.14269 + 0.415482i 0.0715578 + 0.0260185i
\(256\) −0.142315 0.989821i −0.00889468 0.0618638i
\(257\) 14.3460 6.55158i 0.894876 0.408676i 0.0857537 0.996316i \(-0.472670\pi\)
0.809122 + 0.587640i \(0.199943\pi\)
\(258\) −12.9029 0.815780i −0.803299 0.0507882i
\(259\) 1.97162 4.31724i 0.122510 0.268260i
\(260\) 0.577875 0.666903i 0.0358383 0.0413596i
\(261\) 6.99064 2.17869i 0.432710 0.134858i
\(262\) 7.91095 2.32286i 0.488740 0.143507i
\(263\) −7.01363 8.09416i −0.432479 0.499107i 0.497119 0.867682i \(-0.334391\pi\)
−0.929598 + 0.368575i \(0.879846\pi\)
\(264\) −2.39426 2.35503i −0.147356 0.144942i
\(265\) 0.511392 0.328652i 0.0314146 0.0201889i
\(266\) −2.47404 + 2.14377i −0.151693 + 0.131443i
\(267\) −24.3140 + 13.5384i −1.48800 + 0.828534i
\(268\) 1.70866 + 0.245668i 0.104373 + 0.0150066i
\(269\) −5.17894 4.48757i −0.315765 0.273612i 0.482529 0.875880i \(-0.339718\pi\)
−0.798294 + 0.602268i \(0.794264\pi\)
\(270\) 1.50198 0.365933i 0.0914077 0.0222699i
\(271\) 18.7168 + 5.49573i 1.13696 + 0.333842i 0.795440 0.606032i \(-0.207240\pi\)
0.341521 + 0.939874i \(0.389058\pi\)
\(272\) 0.980184 + 2.14630i 0.0594324 + 0.130139i
\(273\) 4.79847 1.83502i 0.290417 0.111061i
\(274\) −6.32056 + 9.83498i −0.381839 + 0.594153i
\(275\) −9.52315 −0.574268
\(276\) −6.10174 5.63638i −0.367281 0.339270i
\(277\) −25.7323 −1.54610 −0.773051 0.634344i \(-0.781270\pi\)
−0.773051 + 0.634344i \(0.781270\pi\)
\(278\) −6.78672 + 10.5603i −0.407041 + 0.633368i
\(279\) 8.12828 + 12.2000i 0.486627 + 0.730392i
\(280\) 0.123591 + 0.270626i 0.00738596 + 0.0161730i
\(281\) −8.76348 2.57319i −0.522785 0.153504i 0.00968381 0.999953i \(-0.496917\pi\)
−0.532469 + 0.846450i \(0.678736\pi\)
\(282\) −0.471923 + 2.25907i −0.0281026 + 0.134525i
\(283\) 11.0180 + 9.54717i 0.654953 + 0.567520i 0.917665 0.397354i \(-0.130071\pi\)
−0.262712 + 0.964874i \(0.584617\pi\)
\(284\) 11.7543 + 1.69001i 0.697489 + 0.100284i
\(285\) −0.820654 1.47384i −0.0486113 0.0873029i
\(286\) 4.34637 3.76615i 0.257006 0.222697i
\(287\) 5.97286 3.83852i 0.352567 0.226581i
\(288\) 2.55021 + 1.58001i 0.150272 + 0.0931032i
\(289\) 7.48677 + 8.64020i 0.440398 + 0.508247i
\(290\) −0.696739 + 0.204581i −0.0409139 + 0.0120134i
\(291\) −18.5750 + 1.48281i −1.08889 + 0.0869237i
\(292\) 2.11526 2.44114i 0.123786 0.142857i
\(293\) −0.782278 + 1.71295i −0.0457011 + 0.100072i −0.931105 0.364750i \(-0.881154\pi\)
0.885404 + 0.464822i \(0.153882\pi\)
\(294\) −0.109290 + 1.72860i −0.00637391 + 0.100814i
\(295\) 3.28905 1.50206i 0.191496 0.0874533i
\(296\) 0.675447 + 4.69783i 0.0392595 + 0.273056i
\(297\) 10.0285 0.967509i 0.581915 0.0561406i
\(298\) 7.59634i 0.440044i
\(299\) 10.4529 9.64778i 0.604510 0.557946i
\(300\) 8.29732 1.87687i 0.479046 0.108361i
\(301\) 6.27942 + 4.03554i 0.361940 + 0.232605i
\(302\) 19.2251 2.76415i 1.10628 0.159059i
\(303\) −4.76389 + 3.62798i −0.273678 + 0.208422i
\(304\) 0.922287 3.14102i 0.0528968 0.180150i
\(305\) 0.758977 + 0.346613i 0.0434589 + 0.0198470i
\(306\) −6.82387 1.88181i −0.390095 0.107576i
\(307\) 1.06240 7.38912i 0.0606341 0.421720i −0.936784 0.349908i \(-0.886213\pi\)
0.997418 0.0718116i \(-0.0228780\pi\)
\(308\) 0.546267 + 1.86041i 0.0311264 + 0.106007i
\(309\) −10.6463 + 14.4694i −0.605646 + 0.823133i
\(310\) −0.785991 1.22303i −0.0446413 0.0694632i
\(311\) −3.33127 5.18355i −0.188899 0.293932i 0.733867 0.679293i \(-0.237713\pi\)
−0.922766 + 0.385361i \(0.874077\pi\)
\(312\) −3.04464 + 4.13797i −0.172369 + 0.234267i
\(313\) −6.08653 20.7288i −0.344031 1.17166i −0.931903 0.362708i \(-0.881852\pi\)
0.587872 0.808954i \(-0.299966\pi\)
\(314\) −2.78238 + 19.3519i −0.157019 + 1.09209i
\(315\) −0.860417 0.237276i −0.0484790 0.0133690i
\(316\) 9.11933 + 4.16466i 0.513002 + 0.234280i
\(317\) 5.13574 17.4907i 0.288452 0.982378i −0.680007 0.733206i \(-0.738023\pi\)
0.968459 0.249172i \(-0.0801585\pi\)
\(318\) −2.81553 + 2.14419i −0.157887 + 0.120240i
\(319\) −4.68435 + 0.673508i −0.262273 + 0.0377092i
\(320\) −0.250283 0.160847i −0.0139912 0.00899161i
\(321\) 19.1347 4.32832i 1.06799 0.241583i
\(322\) 1.49478 + 4.55693i 0.0833009 + 0.253948i
\(323\) 7.72422i 0.429787i
\(324\) −8.54697 + 2.81945i −0.474832 + 0.156636i
\(325\) 2.07321 + 14.4195i 0.115001 + 0.799851i
\(326\) 18.4217 8.41290i 1.02028 0.465948i
\(327\) −1.05600 + 16.7023i −0.0583967 + 0.923640i
\(328\) −2.94943 + 6.45834i −0.162855 + 0.356602i
\(329\) 0.872555 1.00698i 0.0481055 0.0555167i
\(330\) −0.995985 + 0.0795076i −0.0548272 + 0.00437675i
\(331\) 11.8649 3.48384i 0.652151 0.191489i 0.0611111 0.998131i \(-0.480536\pi\)
0.591040 + 0.806642i \(0.298717\pi\)
\(332\) 3.16944 + 3.65773i 0.173946 + 0.200744i
\(333\) −12.1036 7.49897i −0.663276 0.410941i
\(334\) −11.1322 + 7.15426i −0.609130 + 0.391464i
\(335\) 0.388132 0.336319i 0.0212059 0.0183751i
\(336\) −0.842611 1.51328i −0.0459682 0.0825560i
\(337\) 21.5602 + 3.09989i 1.17446 + 0.168862i 0.701794 0.712380i \(-0.252383\pi\)
0.472666 + 0.881242i \(0.343292\pi\)
\(338\) 3.17599 + 2.75201i 0.172751 + 0.149690i
\(339\) 1.88818 9.03861i 0.102552 0.490910i
\(340\) 0.673552 + 0.197773i 0.0365285 + 0.0107257i
\(341\) −3.93600 8.61863i −0.213146 0.466725i
\(342\) 5.44531 + 8.17302i 0.294449 + 0.441946i
\(343\) 0.540641 0.841254i 0.0291919 0.0454234i
\(344\) −7.46437 −0.402452
\(345\) −2.45610 + 0.273812i −0.132232 + 0.0147415i
\(346\) 12.4699 0.670384
\(347\) −3.29902 + 5.13338i −0.177101 + 0.275574i −0.918443 0.395553i \(-0.870553\pi\)
0.741343 + 0.671127i \(0.234189\pi\)
\(348\) 3.94863 1.51003i 0.211669 0.0809461i
\(349\) 5.44303 + 11.9186i 0.291359 + 0.637987i 0.997544 0.0700401i \(-0.0223127\pi\)
−0.706185 + 0.708027i \(0.749585\pi\)
\(350\) −4.71254 1.38373i −0.251896 0.0739633i
\(351\) −3.64820 14.9741i −0.194726 0.799260i
\(352\) −1.46536 1.26975i −0.0781042 0.0676777i
\(353\) −7.39289 1.06294i −0.393484 0.0565744i −0.0572667 0.998359i \(-0.518239\pi\)
−0.336217 + 0.941784i \(0.609148\pi\)
\(354\) −18.3916 + 10.2407i −0.977503 + 0.544285i
\(355\) 2.67006 2.31362i 0.141712 0.122794i
\(356\) −13.5165 + 8.68656i −0.716376 + 0.460387i
\(357\) 2.91359 + 2.86586i 0.154204 + 0.151677i
\(358\) −10.7339 12.3875i −0.567302 0.654701i
\(359\) 0.770662 0.226287i 0.0406740 0.0119430i −0.261332 0.965249i \(-0.584162\pi\)
0.302006 + 0.953306i \(0.402344\pi\)
\(360\) 0.852110 0.265567i 0.0449102 0.0139966i
\(361\) −5.42446 + 6.26016i −0.285498 + 0.329482i
\(362\) −2.12932 + 4.66257i −0.111915 + 0.245059i
\(363\) 12.5158 + 0.791308i 0.656911 + 0.0415329i
\(364\) 2.69803 1.23215i 0.141415 0.0645822i
\(365\) −0.136763 0.951207i −0.00715850 0.0497884i
\(366\) −4.56517 1.65990i −0.238625 0.0867644i
\(367\) 27.9965i 1.46140i 0.682697 + 0.730701i \(0.260807\pi\)
−0.682697 + 0.730701i \(0.739193\pi\)
\(368\) −3.72115 3.02540i −0.193979 0.157710i
\(369\) −9.16710 19.2262i −0.477220 1.00088i
\(370\) 1.18788 + 0.763402i 0.0617548 + 0.0396874i
\(371\) 2.02246 0.290786i 0.105001 0.0150969i
\(372\) 5.12796 + 6.73350i 0.265872 + 0.349116i
\(373\) −0.160308 + 0.545959i −0.00830044 + 0.0282687i −0.963539 0.267568i \(-0.913780\pi\)
0.955239 + 0.295836i \(0.0955983\pi\)
\(374\) 4.16159 + 1.90053i 0.215190 + 0.0982742i
\(375\) 2.41063 4.50276i 0.124484 0.232521i
\(376\) −0.189624 + 1.31887i −0.00977912 + 0.0680153i
\(377\) 2.03959 + 6.94621i 0.105044 + 0.357748i
\(378\) 5.10321 + 0.978387i 0.262481 + 0.0503228i
\(379\) −15.3867 23.9422i −0.790363 1.22983i −0.969279 0.245964i \(-0.920895\pi\)
0.178916 0.983864i \(-0.442741\pi\)
\(380\) −0.526552 0.819332i −0.0270116 0.0420308i
\(381\) −19.4209 14.2895i −0.994963 0.732076i
\(382\) −1.53728 5.23551i −0.0786543 0.267872i
\(383\) 2.42012 16.8323i 0.123662 0.860090i −0.829689 0.558226i \(-0.811482\pi\)
0.953351 0.301864i \(-0.0976088\pi\)
\(384\) 1.52699 + 0.817500i 0.0779238 + 0.0417179i
\(385\) 0.524732 + 0.239637i 0.0267428 + 0.0122130i
\(386\) 2.09938 7.14983i 0.106856 0.363917i
\(387\) 14.3828 17.1635i 0.731120 0.872469i
\(388\) −10.6489 + 1.53108i −0.540616 + 0.0777288i
\(389\) −27.4094 17.6149i −1.38971 0.893112i −0.390093 0.920776i \(-0.627557\pi\)
−0.999617 + 0.0276634i \(0.991193\pi\)
\(390\) 0.337215 + 1.49077i 0.0170756 + 0.0754879i
\(391\) 10.4357 + 4.37569i 0.527754 + 0.221288i
\(392\) 1.00000i 0.0505076i
\(393\) −4.87989 + 13.4210i −0.246158 + 0.677000i
\(394\) −1.95609 13.6049i −0.0985466 0.685406i
\(395\) 2.71311 1.23903i 0.136511 0.0623426i
\(396\) 5.74320 0.922818i 0.288607 0.0463733i
\(397\) 9.89262 21.6618i 0.496497 1.08718i −0.481096 0.876668i \(-0.659761\pi\)
0.977592 0.210508i \(-0.0675117\pi\)
\(398\) 0.555616 0.641216i 0.0278505 0.0321412i
\(399\) −0.451197 5.65211i −0.0225881 0.282959i
\(400\) 4.71254 1.38373i 0.235627 0.0691863i
\(401\) −11.6931 13.4946i −0.583925 0.673886i 0.384519 0.923117i \(-0.374367\pi\)
−0.968444 + 0.249232i \(0.919822\pi\)
\(402\) −2.09666 + 2.13158i −0.104572 + 0.106314i
\(403\) −12.1931 + 7.83601i −0.607380 + 0.390339i
\(404\) −2.61279 + 2.26399i −0.129991 + 0.112638i
\(405\) −1.03126 + 2.47105i −0.0512436 + 0.122787i
\(406\) −2.41591 0.347356i −0.119900 0.0172390i
\(407\) 6.95483 + 6.02639i 0.344738 + 0.298717i
\(408\) −4.00047 0.835705i −0.198053 0.0413736i
\(409\) −5.37776 1.57905i −0.265913 0.0780792i 0.146058 0.989276i \(-0.453341\pi\)
−0.411971 + 0.911197i \(0.635160\pi\)
\(410\) 0.877488 + 1.92143i 0.0433360 + 0.0948927i
\(411\) −7.23282 18.9134i −0.356769 0.932928i
\(412\) −5.60727 + 8.72508i −0.276250 + 0.429854i
\(413\) 12.1535 0.598034
\(414\) 14.1267 2.72686i 0.694290 0.134018i
\(415\) 1.43992 0.0706827
\(416\) −1.60358 + 2.49522i −0.0786218 + 0.122338i
\(417\) −7.76627 20.3083i −0.380316 0.994502i
\(418\) −2.63681 5.77381i −0.128971 0.282406i
\(419\) −28.8795 8.47978i −1.41085 0.414264i −0.514457 0.857516i \(-0.672007\pi\)
−0.896397 + 0.443252i \(0.853825\pi\)
\(420\) −0.504416 0.105373i −0.0246130 0.00514170i
\(421\) −7.33180 6.35304i −0.357330 0.309628i 0.457633 0.889141i \(-0.348697\pi\)
−0.814963 + 0.579513i \(0.803243\pi\)
\(422\) 9.96291 + 1.43245i 0.484987 + 0.0697306i
\(423\) −2.66721 2.97729i −0.129684 0.144761i
\(424\) −1.54419 + 1.33805i −0.0749926 + 0.0649815i
\(425\) −9.74912 + 6.26538i −0.472902 + 0.303915i
\(426\) −14.4234 + 14.6637i −0.698817 + 0.710457i
\(427\) 1.83657 + 2.11952i 0.0888779 + 0.102571i
\(428\) 10.8677 3.19105i 0.525312 0.154245i
\(429\) 0.792658 + 9.92956i 0.0382699 + 0.479404i
\(430\) −1.45427 + 1.67832i −0.0701312 + 0.0809357i
\(431\) 9.52572 20.8584i 0.458838 1.00471i −0.528913 0.848676i \(-0.677400\pi\)
0.987751 0.156038i \(-0.0498723\pi\)
\(432\) −4.82205 + 1.93593i −0.232001 + 0.0931426i
\(433\) −9.22098 + 4.21108i −0.443132 + 0.202372i −0.624469 0.781049i \(-0.714685\pi\)
0.181337 + 0.983421i \(0.441957\pi\)
\(434\) −0.695433 4.83684i −0.0333818 0.232176i
\(435\) 0.429785 1.18202i 0.0206066 0.0566737i
\(436\) 9.66234i 0.462742i
\(437\) −6.96655 14.0695i −0.333255 0.673033i
\(438\) 1.23435 + 5.45681i 0.0589793 + 0.260736i
\(439\) −31.7573 20.4092i −1.51569 0.974077i −0.992551 0.121832i \(-0.961123\pi\)
−0.523143 0.852245i \(-0.675241\pi\)
\(440\) −0.570990 + 0.0820959i −0.0272209 + 0.00391377i
\(441\) −2.29939 1.92686i −0.109495 0.0917554i
\(442\) 1.97171 6.71504i 0.0937848 0.319402i
\(443\) 19.5456 + 8.92618i 0.928640 + 0.424095i 0.821539 0.570153i \(-0.193116\pi\)
0.107101 + 0.994248i \(0.465843\pi\)
\(444\) −7.24731 3.87997i −0.343942 0.184135i
\(445\) −0.680288 + 4.73151i −0.0322487 + 0.224295i
\(446\) 1.01728 + 3.46454i 0.0481696 + 0.164051i
\(447\) −10.5977 7.79758i −0.501253 0.368813i
\(448\) −0.540641 0.841254i −0.0255429 0.0397455i
\(449\) 4.18954 + 6.51906i 0.197717 + 0.307653i 0.925928 0.377699i \(-0.123285\pi\)
−0.728212 + 0.685352i \(0.759648\pi\)
\(450\) −5.89869 + 13.5022i −0.278067 + 0.636500i
\(451\) 3.87847 + 13.2088i 0.182630 + 0.621980i
\(452\) 0.758694 5.27683i 0.0356860 0.248201i
\(453\) −15.8781 + 29.6583i −0.746019 + 1.39347i
\(454\) −15.1856 6.93501i −0.712694 0.325476i
\(455\) 0.248612 0.846694i 0.0116551 0.0396936i
\(456\) 3.43533 + 4.51092i 0.160874 + 0.211243i
\(457\) −26.9773 + 3.87875i −1.26195 + 0.181440i −0.740624 0.671920i \(-0.765470\pi\)
−0.521322 + 0.853360i \(0.674561\pi\)
\(458\) 3.67109 + 2.35927i 0.171539 + 0.110241i
\(459\) 9.62997 7.58835i 0.449488 0.354194i
\(460\) −1.40523 + 0.247246i −0.0655192 + 0.0115279i
\(461\) 30.7034i 1.43000i −0.699124 0.715000i \(-0.746427\pi\)
0.699124 0.715000i \(-0.253573\pi\)
\(462\) −3.15621 1.14760i −0.146840 0.0533912i
\(463\) 2.00877 + 13.9713i 0.0933553 + 0.649301i 0.981744 + 0.190208i \(0.0609163\pi\)
−0.888388 + 0.459093i \(0.848175\pi\)
\(464\) 2.22019 1.01393i 0.103070 0.0470704i
\(465\) 2.51306 + 0.158887i 0.116540 + 0.00736821i
\(466\) −10.9107 + 23.8911i −0.505429 + 1.10673i
\(467\) −20.1537 + 23.2586i −0.932601 + 1.07628i 0.0643252 + 0.997929i \(0.479511\pi\)
−0.996926 + 0.0783497i \(0.975035\pi\)
\(468\) −2.64760 8.49519i −0.122385 0.392690i
\(469\) 1.65630 0.486335i 0.0764810 0.0224569i
\(470\) 0.259595 + 0.299589i 0.0119742 + 0.0138190i
\(471\) −24.1418 23.7463i −1.11240 1.09417i
\(472\) −10.2242 + 6.57068i −0.470606 + 0.302440i
\(473\) −10.9380 + 9.47784i −0.502931 + 0.435792i
\(474\) −15.1710 + 8.44742i −0.696829 + 0.388003i
\(475\) 15.9147 + 2.28819i 0.730217 + 0.104989i
\(476\) 1.78321 + 1.54516i 0.0817335 + 0.0708224i
\(477\) −0.101251 6.12894i −0.00463598 0.280625i
\(478\) 11.3752 + 3.34005i 0.520288 + 0.152770i
\(479\) −11.9483 26.1632i −0.545933 1.19543i −0.958656 0.284569i \(-0.908150\pi\)
0.412723 0.910857i \(-0.364578\pi\)
\(480\) 0.481311 0.184062i 0.0219687 0.00840125i
\(481\) 7.61081 11.8426i 0.347023 0.539978i
\(482\) −3.82912 −0.174412
\(483\) −7.89177 2.59228i −0.359088 0.117953i
\(484\) 7.24045 0.329112
\(485\) −1.73045 + 2.69264i −0.0785759 + 0.122266i
\(486\) 4.83997 14.8181i 0.219546 0.672161i
\(487\) 14.3090 + 31.3324i 0.648403 + 1.41980i 0.892945 + 0.450166i \(0.148635\pi\)
−0.244542 + 0.969639i \(0.578638\pi\)
\(488\) −2.69092 0.790125i −0.121812 0.0357673i
\(489\) −7.17284 + 34.3359i −0.324367 + 1.55273i
\(490\) 0.224844 + 0.194829i 0.0101574 + 0.00880146i
\(491\) −10.0736 1.44837i −0.454616 0.0653639i −0.0887966 0.996050i \(-0.528302\pi\)
−0.365819 + 0.930686i \(0.619211\pi\)
\(492\) −5.98249 10.7442i −0.269712 0.484385i
\(493\) −4.35239 + 3.77137i −0.196022 + 0.169854i
\(494\) −8.16840 + 5.24951i −0.367514 + 0.236187i
\(495\) 0.911449 1.47112i 0.0409666 0.0661218i
\(496\) 3.20003 + 3.69303i 0.143686 + 0.165822i
\(497\) 11.3941 3.34562i 0.511097 0.150071i
\(498\) −8.35632 + 0.667069i −0.374455 + 0.0298921i
\(499\) −8.54147 + 9.85739i −0.382369 + 0.441277i −0.914009 0.405693i \(-0.867030\pi\)
0.531641 + 0.846970i \(0.321576\pi\)
\(500\) 1.22497 2.68231i 0.0547822 0.119956i
\(501\) 1.44623 22.8744i 0.0646126 1.02195i
\(502\) 14.1446 6.45961i 0.631303 0.288306i
\(503\) 0.216861 + 1.50830i 0.00966934 + 0.0672518i 0.994085 0.108607i \(-0.0346389\pi\)
−0.984415 + 0.175859i \(0.943730\pi\)
\(504\) 2.97611 + 0.377837i 0.132567 + 0.0168302i
\(505\) 1.02856i 0.0457703i
\(506\) −9.29433 + 0.291610i −0.413183 + 0.0129637i
\(507\) −7.09948 + 1.60592i −0.315299 + 0.0713214i
\(508\) −11.7109 7.52613i −0.519587 0.333918i
\(509\) 37.8220 5.43798i 1.67643 0.241034i 0.762524 0.646960i \(-0.223960\pi\)
0.913906 + 0.405926i \(0.133051\pi\)
\(510\) −0.967309 + 0.736663i −0.0428332 + 0.0326200i
\(511\) 0.910021 3.09925i 0.0402569 0.137103i
\(512\) 0.909632 + 0.415415i 0.0402004 + 0.0183589i
\(513\) −16.9918 0.792761i −0.750205 0.0350013i
\(514\) −2.24447 + 15.6106i −0.0989994 + 0.688556i
\(515\) 0.869328 + 2.96066i 0.0383072 + 0.130462i
\(516\) 7.66211 10.4136i 0.337306 0.458432i
\(517\) 1.39675 + 2.17339i 0.0614292 + 0.0955857i
\(518\) 2.56596 + 3.99271i 0.112742 + 0.175430i
\(519\) −12.8002 + 17.3968i −0.561867 + 0.763633i
\(520\) 0.248612 + 0.846694i 0.0109024 + 0.0371300i
\(521\) −6.38721 + 44.4240i −0.279829 + 1.94625i 0.0411208 + 0.999154i \(0.486907\pi\)
−0.320949 + 0.947096i \(0.604002\pi\)
\(522\) −1.94659 + 7.05879i −0.0852000 + 0.308955i
\(523\) −15.9985 7.30626i −0.699565 0.319480i 0.0336922 0.999432i \(-0.489273\pi\)
−0.733257 + 0.679952i \(0.762001\pi\)
\(524\) −2.32286 + 7.91095i −0.101475 + 0.345591i
\(525\) 6.76782 5.15410i 0.295372 0.224943i
\(526\) 10.6011 1.52421i 0.462230 0.0664586i
\(527\) −9.69968 6.23360i −0.422525 0.271540i
\(528\) 3.27561 0.740952i 0.142553 0.0322458i
\(529\) −22.9548 + 1.44183i −0.998033 + 0.0626884i
\(530\) 0.607893i 0.0264052i
\(531\) 4.59204 36.1702i 0.199277 1.56965i
\(532\) −0.465886 3.24030i −0.0201987 0.140485i
\(533\) 19.1559 8.74819i 0.829733 0.378926i
\(534\) 1.75598 27.7737i 0.0759885 1.20188i
\(535\) 1.39985 3.06525i 0.0605210 0.132522i
\(536\) −1.13044 + 1.30460i −0.0488275 + 0.0563500i
\(537\) 28.3001 2.25914i 1.22124 0.0974893i
\(538\) 6.57513 1.93063i 0.283474 0.0832355i
\(539\) 1.26975 + 1.46536i 0.0546918 + 0.0631177i
\(540\) −0.504190 + 1.46138i −0.0216969 + 0.0628880i
\(541\) 9.13776 5.87248i 0.392863 0.252478i −0.329265 0.944238i \(-0.606801\pi\)
0.722127 + 0.691760i \(0.243164\pi\)
\(542\) −14.7423 + 12.7743i −0.633238 + 0.548704i
\(543\) −4.31903 7.75672i −0.185347 0.332873i
\(544\) −2.33551 0.335796i −0.100134 0.0143971i
\(545\) 2.17252 + 1.88250i 0.0930606 + 0.0806375i
\(546\) −1.05053 + 5.02882i −0.0449585 + 0.215214i
\(547\) −6.91913 2.03164i −0.295841 0.0868666i 0.130444 0.991456i \(-0.458360\pi\)
−0.426285 + 0.904589i \(0.640178\pi\)
\(548\) −4.85656 10.6344i −0.207462 0.454279i
\(549\) 7.00184 4.66501i 0.298831 0.199098i
\(550\) 5.14860 8.01139i 0.219537 0.341607i
\(551\) 7.99013 0.340391
\(552\) 8.04047 2.08585i 0.342225 0.0887797i
\(553\) 10.0253 0.426319
\(554\) 13.9119 21.6474i 0.591060 0.919708i
\(555\) −2.28437 + 0.873586i −0.0969662 + 0.0370816i
\(556\) −5.21475 11.4187i −0.221155 0.484261i
\(557\) −6.75897 1.98461i −0.286387 0.0840907i 0.135384 0.990793i \(-0.456773\pi\)
−0.421771 + 0.906702i \(0.638591\pi\)
\(558\) −14.6577 + 0.242149i −0.620512 + 0.0102510i
\(559\) 16.7322 + 14.4985i 0.707695 + 0.613221i
\(560\) −0.294483 0.0423403i −0.0124442 0.00178920i
\(561\) −6.92327 + 3.85496i −0.292301 + 0.162757i
\(562\) 6.90260 5.98113i 0.291168 0.252299i
\(563\) −20.0225 + 12.8677i −0.843847 + 0.542307i −0.889650 0.456643i \(-0.849052\pi\)
0.0458032 + 0.998950i \(0.485415\pi\)
\(564\) −1.64531 1.61835i −0.0692799 0.0681448i
\(565\) −1.03865 1.19867i −0.0436963 0.0504283i
\(566\) −13.9884 + 4.10736i −0.587976 + 0.172645i
\(567\) −6.60336 + 6.11520i −0.277315 + 0.256814i
\(568\) −7.77657 + 8.97464i −0.326298 + 0.376568i
\(569\) 11.4107 24.9859i 0.478361 1.04746i −0.504550 0.863383i \(-0.668342\pi\)
0.982911 0.184082i \(-0.0589312\pi\)
\(570\) 1.68355 + 0.106442i 0.0705163 + 0.00445836i
\(571\) −35.8428 + 16.3689i −1.49997 + 0.685016i −0.985058 0.172224i \(-0.944905\pi\)
−0.514917 + 0.857240i \(0.672177\pi\)
\(572\) 0.818463 + 5.69253i 0.0342217 + 0.238017i
\(573\) 8.88209 + 3.22954i 0.371054 + 0.134916i
\(574\) 7.09995i 0.296346i
\(575\) 12.1069 20.2051i 0.504894 0.842609i
\(576\) −2.70794 + 1.29115i −0.112831 + 0.0537979i
\(577\) 8.80512 + 5.65871i 0.366562 + 0.235575i 0.710935 0.703258i \(-0.248272\pi\)
−0.344373 + 0.938833i \(0.611908\pi\)
\(578\) −11.3163 + 1.62703i −0.470694 + 0.0676756i
\(579\) 7.81976 + 10.2681i 0.324978 + 0.426727i
\(580\) 0.204581 0.696739i 0.00849477 0.0289305i
\(581\) 4.40250 + 2.01055i 0.182646 + 0.0834118i
\(582\) 8.79499 16.4280i 0.364564 0.680961i
\(583\) −0.563821 + 3.92146i −0.0233511 + 0.162410i
\(584\) 0.910021 + 3.09925i 0.0376569 + 0.128248i
\(585\) −2.42592 1.05981i −0.100300 0.0438177i
\(586\) −1.01809 1.58418i −0.0420570 0.0654420i
\(587\) −13.1292 20.4295i −0.541901 0.843214i 0.457029 0.889452i \(-0.348913\pi\)
−0.998930 + 0.0462371i \(0.985277\pi\)
\(588\) −1.39510 1.02649i −0.0575331 0.0423318i
\(589\) 4.50683 + 15.3488i 0.185701 + 0.632438i
\(590\) −0.514583 + 3.57900i −0.0211850 + 0.147345i
\(591\) 20.9882 + 11.2364i 0.863339 + 0.462204i
\(592\) −4.31724 1.97162i −0.177438 0.0810330i
\(593\) 0.443367 1.50997i 0.0182069 0.0620070i −0.949889 0.312589i \(-0.898804\pi\)
0.968095 + 0.250582i \(0.0806220\pi\)
\(594\) −4.60792 + 8.95962i −0.189065 + 0.367618i
\(595\) 0.694842 0.0999032i 0.0284857 0.00409563i
\(596\) −6.39045 4.10689i −0.261763 0.168225i
\(597\) 0.324226 + 1.43335i 0.0132697 + 0.0586629i
\(598\) 2.46494 + 14.0096i 0.100799 + 0.572894i
\(599\) 8.77393i 0.358493i 0.983804 + 0.179247i \(0.0573660\pi\)
−0.983804 + 0.179247i \(0.942634\pi\)
\(600\) −2.90694 + 7.99486i −0.118675 + 0.326389i
\(601\) 1.94394 + 13.5204i 0.0792948 + 0.551507i 0.990282 + 0.139073i \(0.0444123\pi\)
−0.910987 + 0.412434i \(0.864679\pi\)
\(602\) −6.78983 + 3.10081i −0.276733 + 0.126380i
\(603\) −0.821574 5.11310i −0.0334571 0.208222i
\(604\) −8.06851 + 17.6676i −0.328303 + 0.718883i
\(605\) 1.41065 1.62797i 0.0573510 0.0661866i
\(606\) −0.476500 5.96908i −0.0193565 0.242477i
\(607\) 8.16679 2.39798i 0.331480 0.0973312i −0.111758 0.993735i \(-0.535648\pi\)
0.443237 + 0.896404i \(0.353830\pi\)
\(608\) 2.14377 + 2.47404i 0.0869413 + 0.100336i
\(609\) 2.96451 3.01389i 0.120128 0.122129i
\(610\) −0.701923 + 0.451099i −0.0284200 + 0.0182644i
\(611\) 2.98678 2.58806i 0.120832 0.104702i
\(612\) 5.27234 4.72322i 0.213122 0.190925i
\(613\) 15.1364 + 2.17629i 0.611354 + 0.0878995i 0.441036 0.897490i \(-0.354611\pi\)
0.170319 + 0.985389i \(0.445520\pi\)
\(614\) 5.64175 + 4.88861i 0.227683 + 0.197288i
\(615\) −3.58133 0.748146i −0.144413 0.0301682i
\(616\) −1.86041 0.546267i −0.0749582 0.0220097i
\(617\) 8.66959 + 18.9838i 0.349024 + 0.764257i 0.999987 + 0.00514692i \(0.00163832\pi\)
−0.650962 + 0.759110i \(0.725634\pi\)
\(618\) −6.41658 16.7790i −0.258113 0.674949i
\(619\) −4.50367 + 7.00785i −0.181018 + 0.281669i −0.919890 0.392176i \(-0.871722\pi\)
0.738872 + 0.673846i \(0.235359\pi\)
\(620\) 1.45381 0.0583866
\(621\) −10.6967 + 22.5073i −0.429244 + 0.903188i
\(622\) 6.16170 0.247062
\(623\) −8.68656 + 13.5165i −0.348020 + 0.541529i
\(624\) −1.83502 4.79847i −0.0734598 0.192093i
\(625\) 9.83708 + 21.5402i 0.393483 + 0.861608i
\(626\) 20.7288 + 6.08653i 0.828490 + 0.243267i
\(627\) 10.7617 + 2.24814i 0.429782 + 0.0897822i
\(628\) −14.7756 12.8031i −0.589610 0.510900i
\(629\) 11.0847 + 1.59374i 0.441975 + 0.0635464i
\(630\) 0.664786 0.595548i 0.0264857 0.0237272i
\(631\) 7.40799 6.41906i 0.294908 0.255539i −0.494822 0.868995i \(-0.664767\pi\)
0.789729 + 0.613456i \(0.210221\pi\)
\(632\) −8.43382 + 5.42008i −0.335479 + 0.215599i
\(633\) −12.2253 + 12.4289i −0.485911 + 0.494004i
\(634\) 11.9376 + 13.7767i 0.474101 + 0.547141i
\(635\) −3.97382 + 1.16682i −0.157696 + 0.0463038i
\(636\) −0.281618 3.52781i −0.0111669 0.139887i
\(637\) 1.94236 2.24160i 0.0769592 0.0888156i
\(638\) 1.96596 4.30485i 0.0778331 0.170431i
\(639\) −5.65181 35.1743i −0.223582 1.39147i
\(640\) 0.270626 0.123591i 0.0106974 0.00488535i
\(641\) −1.64767 11.4598i −0.0650789 0.452634i −0.996141 0.0877719i \(-0.972025\pi\)
0.931062 0.364862i \(-0.118884\pi\)
\(642\) −6.70379 + 18.4372i −0.264577 + 0.727658i
\(643\) 24.7682i 0.976762i 0.872631 + 0.488381i \(0.162412\pi\)
−0.872631 + 0.488381i \(0.837588\pi\)
\(644\) −4.64167 1.20617i −0.182908 0.0475299i
\(645\) −0.848631 3.75164i −0.0334148 0.147721i
\(646\) −6.49802 4.17603i −0.255661 0.164304i
\(647\) −19.5895 + 2.81655i −0.770144 + 0.110730i −0.516176 0.856482i \(-0.672645\pi\)
−0.253968 + 0.967213i \(0.581736\pi\)
\(648\) 2.24897 8.71448i 0.0883478 0.342337i
\(649\) −6.63905 + 22.6105i −0.260606 + 0.887541i
\(650\) −13.2513 6.05168i −0.519760 0.237367i
\(651\) 7.46175 + 3.99478i 0.292449 + 0.156568i
\(652\) −2.88213 + 20.0457i −0.112873 + 0.785049i
\(653\) −9.98868 34.0183i −0.390887 1.33124i −0.886513 0.462703i \(-0.846880\pi\)
0.495626 0.868536i \(-0.334939\pi\)
\(654\) −13.4800 9.91832i −0.527109 0.387837i
\(655\) 1.32617 + 2.06356i 0.0518178 + 0.0806300i
\(656\) −3.83852 5.97286i −0.149869 0.233201i
\(657\) −8.87986 3.87933i −0.346436 0.151347i
\(658\) 0.375388 + 1.27845i 0.0146342 + 0.0498394i
\(659\) −6.20936 + 43.1871i −0.241882 + 1.68233i 0.400776 + 0.916176i \(0.368741\pi\)
−0.642658 + 0.766153i \(0.722168\pi\)
\(660\) 0.471584 0.880861i 0.0183564 0.0342875i
\(661\) 9.17474 + 4.18996i 0.356856 + 0.162971i 0.585773 0.810475i \(-0.300791\pi\)
−0.228917 + 0.973446i \(0.573518\pi\)
\(662\) −3.48384 + 11.8649i −0.135403 + 0.461141i
\(663\) 7.34422 + 9.64367i 0.285226 + 0.374529i
\(664\) −4.79061 + 0.688785i −0.185912 + 0.0267300i
\(665\) −0.819332 0.526552i −0.0317723 0.0204188i
\(666\) 12.8523 6.12799i 0.498015 0.237455i
\(667\) 4.52633 10.7949i 0.175260 0.417981i
\(668\) 13.2329i 0.511997i
\(669\) −5.87762 2.13711i −0.227242 0.0826254i
\(670\) 0.0730890 + 0.508345i 0.00282368 + 0.0196391i
\(671\) −4.94643 + 2.25896i −0.190955 + 0.0872062i
\(672\) 1.72860 + 0.109290i 0.0666822 + 0.00421595i
\(673\) 8.49689 18.6056i 0.327531 0.717193i −0.672200 0.740369i \(-0.734651\pi\)
0.999731 + 0.0231764i \(0.00737794\pi\)
\(674\) −14.2641 + 16.4617i −0.549434 + 0.634080i
\(675\) −12.7820 22.0892i −0.491981 0.850214i
\(676\) −4.03221 + 1.18396i −0.155085 + 0.0455371i
\(677\) 3.66883 + 4.23406i 0.141005 + 0.162728i 0.821859 0.569690i \(-0.192937\pi\)
−0.680855 + 0.732419i \(0.738391\pi\)
\(678\) 6.58294 + 6.47508i 0.252816 + 0.248674i
\(679\) −9.05054 + 5.81643i −0.347328 + 0.223214i
\(680\) −0.530527 + 0.459704i −0.0203448 + 0.0176288i
\(681\) 25.2629 14.0667i 0.968077 0.539037i
\(682\) 9.37842 + 1.34841i 0.359118 + 0.0516334i
\(683\) 37.5293 + 32.5193i 1.43602 + 1.24432i 0.922365 + 0.386319i \(0.126254\pi\)
0.513653 + 0.857998i \(0.328292\pi\)
\(684\) −9.81954 + 0.162221i −0.375459 + 0.00620267i
\(685\) −3.33728 0.979913i −0.127511 0.0374406i
\(686\) 0.415415 + 0.909632i 0.0158606 + 0.0347299i
\(687\) −7.05976 + 2.69978i −0.269347 + 0.103003i
\(688\) 4.03554 6.27942i 0.153854 0.239401i
\(689\) 6.06045 0.230885
\(690\) 1.09752 2.21424i 0.0417820 0.0842946i
\(691\) 23.2945 0.886164 0.443082 0.896481i \(-0.353885\pi\)
0.443082 + 0.896481i \(0.353885\pi\)
\(692\) −6.74172 + 10.4903i −0.256282 + 0.398782i
\(693\) 4.84084 3.22524i 0.183888 0.122517i
\(694\) −2.53489 5.55063i −0.0962229 0.210699i
\(695\) −3.58341 1.05219i −0.135927 0.0399117i
\(696\) −0.864475 + 4.13819i −0.0327678 + 0.156858i
\(697\) 12.6607 + 10.9706i 0.479559 + 0.415540i
\(698\) −12.9693 1.86470i −0.490894 0.0705799i
\(699\) −22.1308 39.7456i −0.837065 1.50332i
\(700\) 3.71185 3.21634i 0.140295 0.121566i
\(701\) 19.0761 12.2594i 0.720493 0.463033i −0.128315 0.991733i \(-0.540957\pi\)
0.848808 + 0.528701i \(0.177321\pi\)
\(702\) 14.5694 + 5.02657i 0.549887 + 0.189716i
\(703\) −10.1746 11.7422i −0.383744 0.442864i
\(704\) 1.86041 0.546267i 0.0701170 0.0205882i
\(705\) −0.684429 + 0.0546367i −0.0257771 + 0.00205774i
\(706\) 4.89110 5.64463i 0.184079 0.212438i
\(707\) −1.43618 + 3.14479i −0.0540130 + 0.118272i
\(708\) 1.32825 21.0085i 0.0499188 0.789549i
\(709\) 6.28333 2.86950i 0.235975 0.107766i −0.293918 0.955831i \(-0.594959\pi\)
0.529893 + 0.848064i \(0.322232\pi\)
\(710\) 0.502798 + 3.49704i 0.0188697 + 0.131241i
\(711\) 3.78793 29.8364i 0.142058 1.11895i
\(712\) 16.0671i 0.602142i
\(713\) 23.2899 + 2.60610i 0.872212 + 0.0975992i
\(714\) −3.98612 + 0.901670i −0.149177 + 0.0337442i
\(715\) 1.43939 + 0.925042i 0.0538303 + 0.0345946i
\(716\) 16.2242 2.33269i 0.606327 0.0871767i
\(717\) −16.3362 + 12.4410i −0.610088 + 0.464618i
\(718\) −0.226287 + 0.770662i −0.00844495 + 0.0287609i
\(719\) 34.6061 + 15.8041i 1.29059 + 0.589392i 0.938081 0.346417i \(-0.112602\pi\)
0.352508 + 0.935809i \(0.385329\pi\)
\(720\) −0.237276 + 0.860417i −0.00884276 + 0.0320659i
\(721\) −1.47602 + 10.2660i −0.0549699 + 0.382324i
\(722\) −2.33370 7.94784i −0.0868512 0.295788i
\(723\) 3.93056 5.34202i 0.146179 0.198672i
\(724\) −2.77120 4.31208i −0.102991 0.160257i
\(725\) 6.48107 + 10.0847i 0.240701 + 0.374538i
\(726\) −7.43227 + 10.1012i −0.275837 + 0.374890i
\(727\) −3.33205 11.3479i −0.123579 0.420872i 0.874343 0.485309i \(-0.161293\pi\)
−0.997922 + 0.0644374i \(0.979475\pi\)
\(728\) −0.422115 + 2.93588i −0.0156446 + 0.108811i
\(729\) 15.7045 + 21.9629i 0.581649 + 0.813440i
\(730\) 0.874146 + 0.399209i 0.0323536 + 0.0147754i
\(731\) −4.96198 + 16.8990i −0.183526 + 0.625031i
\(732\) 3.86451 2.94305i 0.142837 0.108778i
\(733\) 13.9868 2.01100i 0.516616 0.0742781i 0.120924 0.992662i \(-0.461414\pi\)
0.395691 + 0.918384i \(0.370505\pi\)
\(734\) −23.5521 15.1360i −0.869324 0.558681i
\(735\) −0.502607 + 0.113691i −0.0185389 + 0.00419356i
\(736\) 4.55693 1.49478i 0.167971 0.0550984i
\(737\) 3.34708i 0.123291i
\(738\) 21.1302 + 2.68262i 0.777815 + 0.0987487i
\(739\) 0.901977 + 6.27339i 0.0331798 + 0.230770i 0.999663 0.0259594i \(-0.00826408\pi\)
−0.966483 + 0.256730i \(0.917355\pi\)
\(740\) −1.28443 + 0.586579i −0.0472166 + 0.0215631i
\(741\) 1.06118 16.7843i 0.0389835 0.616588i
\(742\) −0.848801 + 1.85861i −0.0311605 + 0.0682319i
\(743\) −22.6716 + 26.1644i −0.831741 + 0.959880i −0.999664 0.0259202i \(-0.991748\pi\)
0.167923 + 0.985800i \(0.446294\pi\)
\(744\) −8.43696 + 0.673507i −0.309314 + 0.0246920i
\(745\) −2.16845 + 0.636715i −0.0794460 + 0.0233274i
\(746\) −0.372621 0.430028i −0.0136426 0.0157444i
\(747\) 7.64706 12.3427i 0.279791 0.451595i
\(748\) −3.84875 + 2.47344i −0.140724 + 0.0904380i
\(749\) 8.56002 7.41730i 0.312776 0.271022i
\(750\) 2.48468 + 4.46232i 0.0907275 + 0.162941i
\(751\) 10.7628 + 1.54746i 0.392740 + 0.0564676i 0.335856 0.941913i \(-0.390974\pi\)
0.0568841 + 0.998381i \(0.481883\pi\)
\(752\) −1.00698 0.872555i −0.0367208 0.0318188i
\(753\) −5.50746 + 26.3639i −0.200703 + 0.960753i
\(754\) −6.94621 2.03959i −0.252966 0.0742775i
\(755\) 2.40047 + 5.25631i 0.0873622 + 0.191297i
\(756\) −3.58208 + 3.76414i −0.130279 + 0.136900i
\(757\) 4.58986 7.14196i 0.166821 0.259579i −0.747771 0.663957i \(-0.768876\pi\)
0.914592 + 0.404378i \(0.132512\pi\)
\(758\) 28.4601 1.03372
\(759\) 9.13373 13.2659i 0.331533 0.481521i
\(760\) 0.973941 0.0353286
\(761\) −5.11500 + 7.95910i −0.185419 + 0.288517i −0.921502 0.388374i \(-0.873037\pi\)
0.736083 + 0.676891i \(0.236673\pi\)
\(762\) 22.5209 8.61239i 0.815845 0.311994i
\(763\) 4.01388 + 8.78918i 0.145312 + 0.318190i
\(764\) 5.23551 + 1.53728i 0.189414 + 0.0556170i
\(765\) −0.0347862 2.10567i −0.00125770 0.0761308i
\(766\) 12.8518 + 11.1362i 0.464355 + 0.402366i
\(767\) 35.6812 + 5.13018i 1.28837 + 0.185240i
\(768\) −1.51328 + 0.842611i −0.0546057 + 0.0304051i
\(769\) −25.8293 + 22.3812i −0.931430 + 0.807088i −0.981462 0.191659i \(-0.938613\pi\)
0.0500319 + 0.998748i \(0.484068\pi\)
\(770\) −0.485287 + 0.311875i −0.0174885 + 0.0112392i
\(771\) −19.4745 19.1555i −0.701358 0.689867i
\(772\) 4.87981 + 5.63160i 0.175628 + 0.202686i
\(773\) −25.3417 + 7.44099i −0.911477 + 0.267634i −0.703663 0.710534i \(-0.748453\pi\)
−0.207815 + 0.978168i \(0.566635\pi\)
\(774\) 6.66291 + 21.3789i 0.239493 + 0.768448i
\(775\) −15.7169 + 18.1383i −0.564568 + 0.651546i
\(776\) 4.46920 9.78618i 0.160435 0.351304i
\(777\) −8.20418 0.518705i −0.294323 0.0186084i
\(778\) 29.6372 13.5349i 1.06255 0.485249i
\(779\) −3.30776 23.0060i −0.118513 0.824275i
\(780\) −1.43642 0.522285i −0.0514322 0.0187008i
\(781\) 23.0254i 0.823913i
\(782\) −9.32301 + 6.41336i −0.333390 + 0.229341i
\(783\) −7.84958 9.96149i −0.280521 0.355994i
\(784\) −0.841254 0.540641i −0.0300448 0.0193086i
\(785\) −5.75742 + 0.827791i −0.205491 + 0.0295451i
\(786\) −8.65219 11.3612i −0.308613 0.405239i
\(787\) 6.07873 20.7023i 0.216683 0.737956i −0.777368 0.629046i \(-0.783446\pi\)
0.994052 0.108910i \(-0.0347360\pi\)
\(788\) 12.5027 + 5.70981i 0.445392 + 0.203404i
\(789\) −8.75551 + 16.3542i −0.311705 + 0.582226i
\(790\) −0.424474 + 2.95228i −0.0151021 + 0.105037i
\(791\) −1.50194 5.11515i −0.0534030 0.181874i
\(792\) −2.32868 + 5.33040i −0.0827462 + 0.189407i
\(793\) 4.49727 + 6.99789i 0.159703 + 0.248502i
\(794\) 12.8747 + 20.0335i 0.456907 + 0.710961i
\(795\) −0.848074 0.623997i −0.0300781 0.0221309i
\(796\) 0.239036 + 0.814082i 0.00847240 + 0.0288544i
\(797\) −5.21749 + 36.2884i −0.184813 + 1.28540i 0.660376 + 0.750935i \(0.270397\pi\)
−0.845189 + 0.534467i \(0.820512\pi\)
\(798\) 4.99879 + 2.67619i 0.176955 + 0.0947360i
\(799\) 2.85979 + 1.30602i 0.101172 + 0.0462038i
\(800\) −1.38373 + 4.71254i −0.0489221 + 0.166613i
\(801\) 36.9446 + 30.9592i 1.30537 + 1.09389i
\(802\) 17.6741 2.54115i 0.624094 0.0897312i
\(803\) 5.26877 + 3.38603i 0.185931 + 0.119490i
\(804\) −0.659661 2.91624i −0.0232644 0.102848i
\(805\) −1.17553 + 0.808656i −0.0414321 + 0.0285014i
\(806\) 14.4939i 0.510527i
\(807\) −4.05589 + 11.1548i −0.142774 + 0.392667i
\(808\) −0.492013 3.42202i −0.0173089 0.120386i
\(809\) 5.07586 2.31807i 0.178458 0.0814990i −0.324183 0.945995i \(-0.605089\pi\)
0.502641 + 0.864496i \(0.332362\pi\)
\(810\) −1.52124 2.20350i −0.0534508 0.0774230i
\(811\) 7.25263 15.8810i 0.254674 0.557659i −0.738506 0.674247i \(-0.764468\pi\)
0.993180 + 0.116588i \(0.0371957\pi\)
\(812\) 1.59836 1.84460i 0.0560913 0.0647328i
\(813\) −2.68860 33.6798i −0.0942932 1.18120i
\(814\) −8.82979 + 2.59266i −0.309484 + 0.0908727i
\(815\) 3.94563 + 4.55350i 0.138209 + 0.159502i
\(816\) 2.86586 2.91359i 0.100325 0.101996i
\(817\) 20.5565 13.2109i 0.719180 0.462189i
\(818\) 4.23582 3.67036i 0.148102 0.128331i
\(819\) −5.93737 6.62764i −0.207468 0.231589i
\(820\) −2.09082 0.300614i −0.0730145 0.0104979i
\(821\) −35.3316 30.6150i −1.23308 1.06847i −0.995269 0.0971618i \(-0.969024\pi\)
−0.237814 0.971311i \(-0.576431\pi\)
\(822\) 19.8213 + 4.14070i 0.691347 + 0.144424i
\(823\) 39.5183 + 11.6036i 1.37752 + 0.404477i 0.884906 0.465769i \(-0.154222\pi\)
0.492617 + 0.870246i \(0.336041\pi\)
\(824\) −4.30849 9.43427i −0.150093 0.328659i
\(825\) 5.89171 + 15.4065i 0.205123 + 0.536384i
\(826\) −6.57068 + 10.2242i −0.228623 + 0.355744i
\(827\) −47.3223 −1.64556 −0.822778 0.568362i \(-0.807577\pi\)
−0.822778 + 0.568362i \(0.807577\pi\)
\(828\) −5.34350 + 13.3584i −0.185700 + 0.464237i
\(829\) −23.1417 −0.803743 −0.401872 0.915696i \(-0.631640\pi\)
−0.401872 + 0.915696i \(0.631640\pi\)
\(830\) −0.778478 + 1.21133i −0.0270214 + 0.0420460i
\(831\) 15.9198 + 41.6294i 0.552253 + 1.44411i
\(832\) −1.23215 2.69803i −0.0427171 0.0935374i
\(833\) 2.26395 + 0.664756i 0.0784413 + 0.0230324i
\(834\) 21.2832 + 4.44610i 0.736976 + 0.153956i
\(835\) −2.97535 2.57815i −0.102966 0.0892207i
\(836\) 6.28281 + 0.903331i 0.217295 + 0.0312424i
\(837\) 14.7082 20.6976i 0.508391 0.715415i
\(838\) 22.7471 19.7104i 0.785784 0.680886i
\(839\) 25.6027 16.4538i 0.883902 0.568050i −0.0180732 0.999837i \(-0.505753\pi\)
0.901976 + 0.431787i \(0.142117\pi\)
\(840\) 0.361354 0.367373i 0.0124679 0.0126756i
\(841\) −15.0898 17.4145i −0.520337 0.600500i
\(842\) 9.30839 2.73319i 0.320788 0.0941920i
\(843\) 1.25884 + 15.7694i 0.0433569 + 0.543128i
\(844\) −6.59141 + 7.60690i −0.226886 + 0.261840i
\(845\) −0.519383 + 1.13729i −0.0178673 + 0.0391240i
\(846\) 3.94666 0.634150i 0.135689 0.0218025i
\(847\) 6.58615 3.00779i 0.226303 0.103349i
\(848\) −0.290786 2.02246i −0.00998564 0.0694516i
\(849\) 8.62877 23.7314i 0.296139 0.814460i
\(850\) 11.5888i 0.397493i
\(851\) −21.6279 + 7.09444i −0.741393 + 0.243194i
\(852\) −4.53797 20.0615i −0.155468 0.687297i
\(853\) −29.1918 18.7605i −0.999509 0.642346i −0.0648519 0.997895i \(-0.520657\pi\)
−0.934658 + 0.355549i \(0.884294\pi\)
\(854\) −2.77598 + 0.399125i −0.0949919 + 0.0136578i
\(855\) −1.87665 + 2.23947i −0.0641802 + 0.0765883i
\(856\) −3.19105 + 10.8677i −0.109068 + 0.371451i
\(857\) 36.5798 + 16.7054i 1.24954 + 0.570647i 0.926699 0.375805i \(-0.122634\pi\)
0.322844 + 0.946452i \(0.395361\pi\)
\(858\) −8.78182 4.70150i −0.299806 0.160507i
\(859\) 4.18093 29.0790i 0.142652 0.992163i −0.785208 0.619232i \(-0.787444\pi\)
0.927859 0.372931i \(-0.121647\pi\)
\(860\) −0.625653 2.13078i −0.0213346 0.0726590i
\(861\) −9.90516 7.28804i −0.337567 0.248376i
\(862\) 12.3972 + 19.2904i 0.422251 + 0.657035i
\(863\) 16.1055 + 25.0607i 0.548239 + 0.853076i 0.999221 0.0394565i \(-0.0125627\pi\)
−0.450982 + 0.892533i \(0.648926\pi\)
\(864\) 0.978387 5.10321i 0.0332854 0.173615i
\(865\) 1.04521 + 3.55965i 0.0355381 + 0.121032i
\(866\) 1.44265 10.0339i 0.0490233 0.340965i
\(867\) 9.34616 17.4575i 0.317412 0.592887i
\(868\) 4.44499 + 2.02996i 0.150873 + 0.0689013i
\(869\) −5.47649 + 18.6512i −0.185777 + 0.632699i
\(870\) 0.762023 + 1.00061i 0.0258350 + 0.0339238i
\(871\) 5.06800 0.728668i 0.171722 0.0246900i
\(872\) −8.12848 5.22386i −0.275265 0.176902i
\(873\) 13.8907 + 29.1331i 0.470129 + 0.986005i
\(874\) 15.6024 + 1.74588i 0.527758 + 0.0590553i
\(875\) 2.94878i 0.0996870i
\(876\) −5.25790 1.91178i −0.177648 0.0645930i
\(877\) 0.255147 + 1.77459i 0.00861570 + 0.0599235i 0.993676 0.112288i \(-0.0358179\pi\)
−0.985060 + 0.172211i \(0.944909\pi\)
\(878\) 34.3386 15.6819i 1.15887 0.529239i
\(879\) 3.25517 + 0.205806i 0.109794 + 0.00694167i
\(880\) 0.239637 0.524732i 0.00807816 0.0176887i
\(881\) −34.0380 + 39.2819i −1.14677 + 1.32344i −0.208304 + 0.978064i \(0.566794\pi\)
−0.938464 + 0.345377i \(0.887751\pi\)
\(882\) 2.86413 0.892629i 0.0964401 0.0300564i
\(883\) 16.8450 4.94613i 0.566879 0.166451i 0.0142799 0.999898i \(-0.495454\pi\)
0.552599 + 0.833447i \(0.313636\pi\)
\(884\) 4.58306 + 5.28913i 0.154145 + 0.177893i
\(885\) −4.46486 4.39171i −0.150085 0.147626i
\(886\) −18.0763 + 11.6170i −0.607286 + 0.390279i
\(887\) −18.2478 + 15.8118i −0.612702 + 0.530910i −0.904997 0.425419i \(-0.860127\pi\)
0.292294 + 0.956328i \(0.405581\pi\)
\(888\) 7.18223 3.99915i 0.241020 0.134203i
\(889\) −13.7791 1.98113i −0.462135 0.0664450i
\(890\) −3.61261 3.13034i −0.121095 0.104929i
\(891\) −7.76961 15.6255i −0.260292 0.523474i
\(892\) −3.46454 1.01728i −0.116001 0.0340611i
\(893\) −1.81199 3.96770i −0.0606358 0.132774i
\(894\) 12.2893 4.69965i 0.411015 0.157180i
\(895\) 2.63645 4.10240i 0.0881268 0.137128i
\(896\) 1.00000 0.0334077
\(897\) −22.0750 10.9419i −0.737064 0.365338i
\(898\) −7.74922 −0.258595
\(899\) −6.44820 + 10.0336i −0.215060 + 0.334639i
\(900\) −8.16971 12.2621i −0.272324 0.408738i
\(901\) 2.00277 + 4.38546i 0.0667220 + 0.146101i
\(902\) −13.2088 3.87847i −0.439806 0.129139i
\(903\) 2.64375 12.6555i 0.0879785 0.421148i
\(904\) 4.02897 + 3.49113i 0.134002 + 0.116113i
\(905\) −1.50945 0.217027i −0.0501760 0.00721422i
\(906\) −16.3658 29.3920i −0.543719 0.976485i
\(907\) 30.7966 26.6854i 1.02258 0.886074i 0.0290461 0.999578i \(-0.490753\pi\)
0.993538 + 0.113504i \(0.0362076\pi\)
\(908\) 14.0440 9.02555i 0.466068 0.299524i
\(909\) 8.81661 + 5.46244i 0.292428 + 0.181178i
\(910\) 0.577875 + 0.666903i 0.0191564 + 0.0221076i
\(911\) 17.2173 5.05545i 0.570434 0.167495i 0.0162195 0.999868i \(-0.494837\pi\)
0.554214 + 0.832374i \(0.313019\pi\)
\(912\) −5.65211 + 0.451197i −0.187160 + 0.0149406i
\(913\) −6.14540 + 7.09217i −0.203383 + 0.234717i
\(914\) 11.3220 24.7918i 0.374499 0.820039i
\(915\) 0.0911890 1.44230i 0.00301462 0.0476811i
\(916\) −3.96948 + 1.81280i −0.131155 + 0.0598966i
\(917\) 1.17338 + 8.16100i 0.0387483 + 0.269500i
\(918\) 1.17737 + 12.2038i 0.0388590 + 0.402786i
\(919\) 20.7385i 0.684100i 0.939682 + 0.342050i \(0.111121\pi\)
−0.939682 + 0.342050i \(0.888879\pi\)
\(920\) 0.551728 1.31583i 0.0181899 0.0433815i
\(921\) −12.6113 + 2.85272i −0.415557 + 0.0940002i
\(922\) 25.8294 + 16.5995i 0.850644 + 0.546676i
\(923\) 34.8640 5.01269i 1.14756 0.164995i
\(924\) 2.67180 2.03473i 0.0878957 0.0669378i
\(925\) 6.56736 22.3664i 0.215933 0.735402i
\(926\) −12.8394 5.86356i −0.421929 0.192689i
\(927\) 29.9949 + 8.27166i 0.985163 + 0.271677i
\(928\) −0.347356 + 2.41591i −0.0114025 + 0.0793063i
\(929\) 12.3231 + 41.9685i 0.404307 + 1.37694i 0.870460 + 0.492238i \(0.163821\pi\)
−0.466154 + 0.884704i \(0.654361\pi\)
\(930\) −1.49233 + 2.02822i −0.0489354 + 0.0665080i
\(931\) −1.76986 2.75395i −0.0580047 0.0902570i
\(932\) −14.1997 22.0952i −0.465127 0.723752i
\(933\) −6.32493 + 8.59621i −0.207069 + 0.281427i
\(934\) −8.67046 29.5289i −0.283706 0.966215i
\(935\) −0.193708 + 1.34727i −0.00633492 + 0.0440604i
\(936\) 8.57801 + 2.36555i 0.280381 + 0.0773203i
\(937\) 13.1589 + 6.00945i 0.429881 + 0.196320i 0.618592 0.785713i \(-0.287704\pi\)
−0.188711 + 0.982033i \(0.560431\pi\)
\(938\) −0.486335 + 1.65630i −0.0158794 + 0.0540803i
\(939\) −29.7693 + 22.6711i −0.971485 + 0.739843i
\(940\) −0.392378 + 0.0564154i −0.0127979 + 0.00184007i
\(941\) −33.6102 21.5999i −1.09566 0.704138i −0.137537 0.990497i \(-0.543919\pi\)
−0.958122 + 0.286359i \(0.907555\pi\)
\(942\) 33.0287 7.47118i 1.07613 0.243424i
\(943\) −32.9557 8.56377i −1.07318 0.278875i
\(944\) 12.1535i 0.395563i
\(945\) 0.148454 + 1.53877i 0.00482920 + 0.0500562i
\(946\) −2.05973 14.3258i −0.0669677 0.465770i
\(947\) 10.0470 4.58832i 0.326484 0.149100i −0.245429 0.969415i \(-0.578929\pi\)
0.571913 + 0.820314i \(0.306202\pi\)
\(948\) 1.09566 17.3297i 0.0355855 0.562843i
\(949\) 3.97995 8.71487i 0.129195 0.282897i
\(950\) −10.5291 + 12.1512i −0.341609 + 0.394238i
\(951\) −31.4737 + 2.51248i −1.02060 + 0.0814729i
\(952\) −2.26395 + 0.664756i −0.0733751 + 0.0215449i
\(953\) 9.47944 + 10.9399i 0.307069 + 0.354377i 0.888219 0.459420i \(-0.151943\pi\)
−0.581150 + 0.813796i \(0.697397\pi\)
\(954\) 5.21074 + 3.22838i 0.168704 + 0.104523i
\(955\) 1.36568 0.877667i 0.0441922 0.0284006i
\(956\) −8.95971 + 7.76364i −0.289778 + 0.251094i
\(957\) 3.98767 + 7.16161i 0.128903 + 0.231502i
\(958\) 28.4696 + 4.09331i 0.919811 + 0.132249i
\(959\) −8.83537 7.65589i −0.285309 0.247222i
\(960\) −0.105373 + 0.504416i −0.00340091 + 0.0162800i
\(961\) 6.83288 + 2.00631i 0.220415 + 0.0647198i
\(962\) 5.84796 + 12.8052i 0.188546 + 0.412857i
\(963\) −18.8404 28.2781i −0.607124 0.911249i
\(964\) 2.07018 3.22126i 0.0666760 0.103750i
\(965\) 2.21696 0.0713664
\(966\) 6.44738 5.23749i 0.207441 0.168513i
\(967\) 16.8925 0.543225 0.271612 0.962407i \(-0.412443\pi\)
0.271612 + 0.962407i \(0.412443\pi\)
\(968\) −3.91448 + 6.09106i −0.125816 + 0.195774i
\(969\) 12.4962 4.77876i 0.401435 0.153516i
\(970\) −1.32964 2.91150i −0.0426921 0.0934827i
\(971\) 14.2015 + 4.16993i 0.455747 + 0.133819i 0.501545 0.865131i \(-0.332765\pi\)
−0.0457984 + 0.998951i \(0.514583\pi\)
\(972\) 9.84905 + 12.0829i 0.315909 + 0.387559i
\(973\) −9.48701 8.22054i −0.304140 0.263538i
\(974\) −34.0945 4.90205i −1.09246 0.157072i
\(975\) 22.0451 12.2750i 0.706009 0.393114i
\(976\) 2.11952 1.83657i 0.0678441 0.0587872i
\(977\) −41.1239 + 26.4287i −1.31567 + 0.845530i −0.994825 0.101602i \(-0.967603\pi\)
−0.320845 + 0.947132i \(0.603967\pi\)
\(978\) −25.0073 24.5976i −0.799645 0.786544i
\(979\) −20.4012 23.5442i −0.652025 0.752477i
\(980\) −0.285460 + 0.0838187i −0.00911869 + 0.00267749i
\(981\) 27.6742 8.62489i 0.883568 0.275371i
\(982\) 6.66465 7.69142i 0.212678 0.245443i
\(983\) 20.2361 44.3110i 0.645433 1.41330i −0.250062 0.968230i \(-0.580451\pi\)
0.895495 0.445071i \(-0.146822\pi\)
\(984\) 12.2730 + 0.775952i 0.391248 + 0.0247365i
\(985\) 3.71971 1.69873i 0.118520 0.0541262i
\(986\) −0.819597 5.70042i −0.0261013 0.181538i
\(987\) −2.16891 0.788618i −0.0690372 0.0251020i
\(988\) 9.70980i 0.308910i
\(989\) −6.20324 35.2563i −0.197252 1.12108i
\(990\) 0.744815 + 1.56211i 0.0236718 + 0.0496470i
\(991\) 1.17847 + 0.757357i 0.0374354 + 0.0240582i 0.559225 0.829016i \(-0.311099\pi\)
−0.521789 + 0.853074i \(0.674735\pi\)
\(992\) −4.83684 + 0.695433i −0.153570 + 0.0220800i
\(993\) −12.9766 17.0395i −0.411799 0.540732i
\(994\) −3.34562 + 11.3941i −0.106117 + 0.361400i
\(995\) 0.229613 + 0.104861i 0.00727921 + 0.00332430i
\(996\) 3.95659 7.39042i 0.125369 0.234175i
\(997\) 4.86183 33.8148i 0.153976 1.07092i −0.755494 0.655155i \(-0.772603\pi\)
0.909470 0.415769i \(-0.136488\pi\)
\(998\) −3.67469 12.5149i −0.116320 0.396151i
\(999\) −4.64357 + 24.2206i −0.146916 + 0.766305i
Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))

Twists

       By twisting character
Char Parity Ord Type Twist Min Dim
1.1 even 1 trivial 966.2.r.a.113.5 240
3.2 odd 2 966.2.r.b.113.19 yes 240
23.11 odd 22 966.2.r.b.701.19 yes 240
69.11 even 22 inner 966.2.r.a.701.5 yes 240
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
966.2.r.a.113.5 240 1.1 even 1 trivial
966.2.r.a.701.5 yes 240 69.11 even 22 inner
966.2.r.b.113.19 yes 240 3.2 odd 2
966.2.r.b.701.19 yes 240 23.11 odd 22