Properties

Label 349.2.i.a.9.16
Level $349$
Weight $2$
Character 349.9
Analytic conductor $2.787$
Analytic rank $0$
Dimension $1568$
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] = [349,2,Mod(9,349)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(349, base_ring=CyclotomicField(174))
 
chi = DirichletCharacter(H, H._module([26]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("349.9");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 349 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 349.i (of order \(87\), degree \(56\), 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: \(2.78677903054\)
Analytic rank: \(0\)
Dimension: \(1568\)
Relative dimension: \(28\) over \(\Q(\zeta_{87})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{87}]$

Embedding invariants

Embedding label 9.16
Character \(\chi\) \(=\) 349.9
Dual form 349.2.i.a.194.16

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.200938 + 0.101926i) q^{2} +(-1.14709 + 0.433214i) q^{3} +(-1.15142 - 1.57282i) q^{4} +(0.757667 - 0.195703i) q^{5} +(-0.274651 - 0.0298701i) q^{6} +(2.54552 + 0.0919592i) q^{7} +(-0.143955 - 0.878084i) q^{8} +(-1.12290 + 0.989249i) q^{9} +O(q^{10})\) \(q+(0.200938 + 0.101926i) q^{2} +(-1.14709 + 0.433214i) q^{3} +(-1.15142 - 1.57282i) q^{4} +(0.757667 - 0.195703i) q^{5} +(-0.274651 - 0.0298701i) q^{6} +(2.54552 + 0.0919592i) q^{7} +(-0.143955 - 0.878084i) q^{8} +(-1.12290 + 0.989249i) q^{9} +(0.172191 + 0.0379022i) q^{10} +(-3.99825 - 1.84979i) q^{11} +(2.00215 + 1.30536i) q^{12} +(-0.104074 - 5.76359i) q^{13} +(0.502118 + 0.277933i) q^{14} +(-0.784335 + 0.552722i) q^{15} +(-1.11731 + 3.52516i) q^{16} +(0.997959 - 6.08728i) q^{17} +(-0.326464 + 0.0843244i) q^{18} +(4.29103 + 1.27528i) q^{19} +(-1.18020 - 0.966336i) q^{20} +(-2.95978 + 0.997267i) q^{21} +(-0.614858 - 0.779220i) q^{22} +(-0.118272 - 6.54989i) q^{23} +(0.545528 + 0.944882i) q^{24} +(-3.83880 + 2.12486i) q^{25} +(0.566550 - 1.16873i) q^{26} +(2.58256 - 4.87123i) q^{27} +(-2.78632 - 4.10951i) q^{28} +(0.396903 - 0.258772i) q^{29} +(-0.213939 + 0.0311184i) q^{30} +(-1.48795 - 2.19456i) q^{31} +(-1.83078 + 1.86414i) q^{32} +(5.38772 + 0.389782i) q^{33} +(0.820983 - 1.12145i) q^{34} +(1.94665 - 0.428490i) q^{35} +(2.84883 + 0.627076i) q^{36} +(-1.09391 + 0.658182i) q^{37} +(0.732247 + 0.693621i) q^{38} +(2.61625 + 6.56629i) q^{39} +(-0.280913 - 0.637124i) q^{40} +(-1.06084 - 6.47084i) q^{41} +(-0.696381 - 0.101291i) q^{42} +(0.745092 + 8.23109i) q^{43} +(1.69428 + 8.41839i) q^{44} +(-0.657186 + 0.969276i) q^{45} +(0.643841 - 1.32818i) q^{46} +(8.62111 + 6.55360i) q^{47} +(-0.245486 - 4.52772i) q^{48} +(-0.510556 - 0.0369369i) q^{49} +(-0.987939 + 0.0356903i) q^{50} +(1.49234 + 7.41501i) q^{51} +(-8.94524 + 6.79999i) q^{52} +(2.09457 + 2.46592i) q^{53} +(1.01544 - 0.715584i) q^{54} +(-3.39135 - 0.619055i) q^{55} +(-0.285691 - 2.24842i) q^{56} +(-5.47469 + 0.396074i) q^{57} +(0.106129 - 0.0115422i) q^{58} +(1.92122 - 0.725574i) q^{59} +(1.77243 + 0.597200i) q^{60} +(-0.556562 + 10.2652i) q^{61} +(-0.0753017 - 0.592632i) q^{62} +(-2.94933 + 2.41489i) q^{63} +(6.45094 - 2.17357i) q^{64} +(-1.20680 - 4.34652i) q^{65} +(1.04287 + 0.627473i) q^{66} +(3.77519 + 3.57605i) q^{67} +(-10.7232 + 5.43940i) q^{68} +(2.97317 + 7.46210i) q^{69} +(0.434831 + 0.112315i) q^{70} +(-7.45760 - 2.81645i) q^{71} +(1.03029 + 0.843593i) q^{72} +(1.58569 - 2.53086i) q^{73} +(-0.286893 + 0.0207557i) q^{74} +(3.48294 - 4.10043i) q^{75} +(-2.93500 - 8.21739i) q^{76} +(-10.0075 - 5.07634i) q^{77} +(-0.143575 + 1.58608i) q^{78} +(2.99738 - 3.52879i) q^{79} +(-0.156667 + 2.88956i) q^{80} +(-0.286256 + 2.25287i) q^{81} +(0.446386 - 1.40836i) q^{82} +(8.47905 + 8.63354i) q^{83} +(4.97647 + 3.50693i) q^{84} +(-0.435178 - 4.80744i) q^{85} +(-0.689248 + 1.72988i) q^{86} +(-0.343181 + 0.468779i) q^{87} +(-1.04870 + 3.77709i) q^{88} +(-2.08202 + 2.63858i) q^{89} +(-0.230848 + 0.127780i) q^{90} +(0.265094 - 14.6809i) q^{91} +(-10.1656 + 7.72768i) q^{92} +(2.65753 + 1.87277i) q^{93} +(1.06432 + 2.19559i) q^{94} +(3.50075 + 0.126468i) q^{95} +(1.29251 - 2.93146i) q^{96} +(-14.2088 - 3.67008i) q^{97} +(-0.0988253 - 0.0594612i) q^{98} +(6.31953 - 1.87814i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1568 q - 58 q^{2} - 58 q^{3} - 28 q^{4} - 62 q^{5} - 72 q^{6} - 60 q^{7} + 23 q^{8} - 30 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 1568 q - 58 q^{2} - 58 q^{3} - 28 q^{4} - 62 q^{5} - 72 q^{6} - 60 q^{7} + 23 q^{8} - 30 q^{9} - 56 q^{10} - 56 q^{11} - 69 q^{12} - 56 q^{13} - 60 q^{14} - 67 q^{15} - 24 q^{16} - 58 q^{17} + 40 q^{18} - 169 q^{19} - 72 q^{20} + 46 q^{21} - 51 q^{22} - 47 q^{23} + q^{24} - 52 q^{25} + 11 q^{26} - 28 q^{27} - 6 q^{28} - 66 q^{29} - 37 q^{30} - 10 q^{31} - 52 q^{32} - 70 q^{33} - 44 q^{34} - 42 q^{35} - 124 q^{36} - 159 q^{37} - 118 q^{38} - 32 q^{39} - 82 q^{40} - 403 q^{42} - 35 q^{43} + 78 q^{44} - 76 q^{45} - 63 q^{46} - 32 q^{47} + 22 q^{48} - 32 q^{49} + 308 q^{50} + 44 q^{51} + 255 q^{52} - 46 q^{53} - 51 q^{54} + 48 q^{55} - 39 q^{56} - 83 q^{57} - 46 q^{58} - 42 q^{59} - 742 q^{60} + 190 q^{61} - 31 q^{62} - 89 q^{63} + 149 q^{64} - 130 q^{65} + 385 q^{66} - 24 q^{67} - q^{68} + 48 q^{69} - 6 q^{70} - 48 q^{71} + 243 q^{72} - 81 q^{73} + 75 q^{74} - 32 q^{75} - 67 q^{76} - 48 q^{77} - 547 q^{78} - 106 q^{79} + 148 q^{80} + 418 q^{81} - 50 q^{82} - 304 q^{83} + 338 q^{84} + 90 q^{85} - 46 q^{86} + 102 q^{87} - 116 q^{88} + 340 q^{89} - 126 q^{90} - 112 q^{91} - 106 q^{92} - q^{93} - 91 q^{94} + 120 q^{95} - 914 q^{96} - 58 q^{97} + 316 q^{98} - 131 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/349\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{13}{87}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.200938 + 0.101926i 0.142085 + 0.0720729i 0.521986 0.852954i \(-0.325191\pi\)
−0.379901 + 0.925027i \(0.624042\pi\)
\(3\) −1.14709 + 0.433214i −0.662275 + 0.250116i −0.661570 0.749884i \(-0.730110\pi\)
−0.000705114 1.00000i \(0.500224\pi\)
\(4\) −1.15142 1.57282i −0.575709 0.786408i
\(5\) 0.757667 0.195703i 0.338839 0.0875210i −0.0768107 0.997046i \(-0.524474\pi\)
0.415650 + 0.909525i \(0.363554\pi\)
\(6\) −0.274651 0.0298701i −0.112126 0.0121944i
\(7\) 2.54552 + 0.0919592i 0.962115 + 0.0347573i 0.512702 0.858567i \(-0.328645\pi\)
0.449413 + 0.893324i \(0.351633\pi\)
\(8\) −0.143955 0.878084i −0.0508956 0.310450i
\(9\) −1.12290 + 0.989249i −0.374300 + 0.329750i
\(10\) 0.172191 + 0.0379022i 0.0544517 + 0.0119857i
\(11\) −3.99825 1.84979i −1.20552 0.557732i −0.288847 0.957375i \(-0.593272\pi\)
−0.916671 + 0.399643i \(0.869134\pi\)
\(12\) 2.00215 + 1.30536i 0.577971 + 0.376824i
\(13\) −0.104074 5.76359i −0.0288648 1.59853i −0.615138 0.788419i \(-0.710900\pi\)
0.586274 0.810113i \(-0.300594\pi\)
\(14\) 0.502118 + 0.277933i 0.134197 + 0.0742808i
\(15\) −0.784335 + 0.552722i −0.202514 + 0.142712i
\(16\) −1.11731 + 3.52516i −0.279328 + 0.881289i
\(17\) 0.997959 6.08728i 0.242041 1.47638i −0.533884 0.845558i \(-0.679268\pi\)
0.775925 0.630825i \(-0.217284\pi\)
\(18\) −0.326464 + 0.0843244i −0.0769482 + 0.0198755i
\(19\) 4.29103 + 1.27528i 0.984431 + 0.292569i 0.736670 0.676253i \(-0.236397\pi\)
0.247761 + 0.968821i \(0.420305\pi\)
\(20\) −1.18020 0.966336i −0.263900 0.216079i
\(21\) −2.95978 + 0.997267i −0.645878 + 0.217622i
\(22\) −0.614858 0.779220i −0.131088 0.166130i
\(23\) −0.118272 6.54989i −0.0246614 1.36575i −0.742645 0.669686i \(-0.766429\pi\)
0.717983 0.696060i \(-0.245065\pi\)
\(24\) 0.545528 + 0.944882i 0.111355 + 0.192873i
\(25\) −3.83880 + 2.12486i −0.767759 + 0.424972i
\(26\) 0.566550 1.16873i 0.111110 0.229207i
\(27\) 2.58256 4.87123i 0.497015 0.937469i
\(28\) −2.78632 4.10951i −0.526565 0.776625i
\(29\) 0.396903 0.258772i 0.0737030 0.0480527i −0.508772 0.860901i \(-0.669900\pi\)
0.582475 + 0.812849i \(0.302084\pi\)
\(30\) −0.213939 + 0.0311184i −0.0390598 + 0.00568141i
\(31\) −1.48795 2.19456i −0.267244 0.394155i 0.670262 0.742124i \(-0.266182\pi\)
−0.937506 + 0.347969i \(0.886871\pi\)
\(32\) −1.83078 + 1.86414i −0.323639 + 0.329536i
\(33\) 5.38772 + 0.389782i 0.937882 + 0.0678523i
\(34\) 0.820983 1.12145i 0.140797 0.192327i
\(35\) 1.94665 0.428490i 0.329044 0.0724281i
\(36\) 2.84883 + 0.627076i 0.474806 + 0.104513i
\(37\) −1.09391 + 0.658182i −0.179837 + 0.108204i −0.602626 0.798024i \(-0.705879\pi\)
0.422789 + 0.906228i \(0.361051\pi\)
\(38\) 0.732247 + 0.693621i 0.118786 + 0.112520i
\(39\) 2.61625 + 6.56629i 0.418935 + 1.05145i
\(40\) −0.280913 0.637124i −0.0444163 0.100738i
\(41\) −1.06084 6.47084i −0.165675 1.01058i −0.930488 0.366322i \(-0.880617\pi\)
0.764813 0.644253i \(-0.222832\pi\)
\(42\) −0.696381 0.101291i −0.107454 0.0156296i
\(43\) 0.745092 + 8.23109i 0.113625 + 1.25523i 0.830099 + 0.557615i \(0.188284\pi\)
−0.716474 + 0.697614i \(0.754245\pi\)
\(44\) 1.69428 + 8.41839i 0.255423 + 1.26912i
\(45\) −0.657186 + 0.969276i −0.0979674 + 0.144491i
\(46\) 0.643841 1.32818i 0.0949292 0.195829i
\(47\) 8.62111 + 6.55360i 1.25752 + 0.955941i 0.999947 0.0103185i \(-0.00328453\pi\)
0.257572 + 0.966259i \(0.417078\pi\)
\(48\) −0.245486 4.52772i −0.0354328 0.653520i
\(49\) −0.510556 0.0369369i −0.0729366 0.00527670i
\(50\) −0.987939 + 0.0356903i −0.139716 + 0.00504736i
\(51\) 1.49234 + 7.41501i 0.208970 + 1.03831i
\(52\) −8.94524 + 6.79999i −1.24048 + 0.942989i
\(53\) 2.09457 + 2.46592i 0.287711 + 0.338720i 0.886963 0.461841i \(-0.152811\pi\)
−0.599251 + 0.800561i \(0.704535\pi\)
\(54\) 1.01544 0.715584i 0.138184 0.0973786i
\(55\) −3.39135 0.619055i −0.457290 0.0834733i
\(56\) −0.285691 2.24842i −0.0381770 0.300457i
\(57\) −5.47469 + 0.396074i −0.725140 + 0.0524612i
\(58\) 0.106129 0.0115422i 0.0139354 0.00151556i
\(59\) 1.92122 0.725574i 0.250122 0.0944616i −0.225074 0.974342i \(-0.572262\pi\)
0.475196 + 0.879880i \(0.342377\pi\)
\(60\) 1.77243 + 0.597200i 0.228819 + 0.0770982i
\(61\) −0.556562 + 10.2652i −0.0712605 + 1.31432i 0.716173 + 0.697923i \(0.245892\pi\)
−0.787433 + 0.616400i \(0.788591\pi\)
\(62\) −0.0753017 0.592632i −0.00956333 0.0752644i
\(63\) −2.94933 + 2.41489i −0.371581 + 0.304247i
\(64\) 6.45094 2.17357i 0.806367 0.271697i
\(65\) −1.20680 4.34652i −0.149686 0.539119i
\(66\) 1.04287 + 0.627473i 0.128368 + 0.0772366i
\(67\) 3.77519 + 3.57605i 0.461213 + 0.436884i 0.882690 0.469955i \(-0.155730\pi\)
−0.421478 + 0.906839i \(0.638488\pi\)
\(68\) −10.7232 + 5.43940i −1.30038 + 0.659624i
\(69\) 2.97317 + 7.46210i 0.357928 + 0.898331i
\(70\) 0.434831 + 0.112315i 0.0519722 + 0.0134242i
\(71\) −7.45760 2.81645i −0.885054 0.334251i −0.131249 0.991349i \(-0.541899\pi\)
−0.753805 + 0.657098i \(0.771784\pi\)
\(72\) 1.03029 + 0.843593i 0.121421 + 0.0994184i
\(73\) 1.58569 2.53086i 0.185591 0.296214i −0.741571 0.670875i \(-0.765919\pi\)
0.927162 + 0.374660i \(0.122241\pi\)
\(74\) −0.286893 + 0.0207557i −0.0333507 + 0.00241280i
\(75\) 3.48294 4.10043i 0.402175 0.473477i
\(76\) −2.93500 8.21739i −0.336667 0.942599i
\(77\) −10.0075 5.07634i −1.14046 0.578503i
\(78\) −0.143575 + 1.58608i −0.0162567 + 0.179588i
\(79\) 2.99738 3.52879i 0.337232 0.397020i −0.567241 0.823552i \(-0.691989\pi\)
0.904472 + 0.426532i \(0.140265\pi\)
\(80\) −0.156667 + 2.88956i −0.0175159 + 0.323062i
\(81\) −0.286256 + 2.25287i −0.0318063 + 0.250319i
\(82\) 0.446386 1.40836i 0.0492951 0.155528i
\(83\) 8.47905 + 8.63354i 0.930697 + 0.947654i 0.998748 0.0500275i \(-0.0159309\pi\)
−0.0680509 + 0.997682i \(0.521678\pi\)
\(84\) 4.97647 + 3.50693i 0.542977 + 0.382637i
\(85\) −0.435178 4.80744i −0.0472016 0.521440i
\(86\) −0.689248 + 1.72988i −0.0743235 + 0.186538i
\(87\) −0.343181 + 0.468779i −0.0367929 + 0.0502584i
\(88\) −1.04870 + 3.77709i −0.111792 + 0.402639i
\(89\) −2.08202 + 2.63858i −0.220693 + 0.279688i −0.882828 0.469696i \(-0.844363\pi\)
0.662135 + 0.749385i \(0.269651\pi\)
\(90\) −0.230848 + 0.127780i −0.0243336 + 0.0134692i
\(91\) 0.265094 14.6809i 0.0277894 1.53897i
\(92\) −10.1656 + 7.72768i −1.05984 + 0.805666i
\(93\) 2.65753 + 1.87277i 0.275573 + 0.194197i
\(94\) 1.06432 + 2.19559i 0.109777 + 0.226457i
\(95\) 3.50075 + 0.126468i 0.359170 + 0.0129753i
\(96\) 1.29251 2.93146i 0.131916 0.299191i
\(97\) −14.2088 3.67008i −1.44268 0.372640i −0.554520 0.832170i \(-0.687098\pi\)
−0.888162 + 0.459530i \(0.848018\pi\)
\(98\) −0.0988253 0.0594612i −0.00998286 0.00600649i
\(99\) 6.31953 1.87814i 0.635137 0.188760i
\(100\) 7.76208 + 3.59112i 0.776208 + 0.359112i
\(101\) 10.9885 10.4089i 1.09340 1.03572i 0.0942043 0.995553i \(-0.469969\pi\)
0.999193 0.0401680i \(-0.0127893\pi\)
\(102\) −0.455918 + 1.64207i −0.0451426 + 0.162589i
\(103\) 0.431627 + 7.96090i 0.0425295 + 0.784411i 0.939548 + 0.342418i \(0.111246\pi\)
−0.897018 + 0.441993i \(0.854272\pi\)
\(104\) −5.04594 + 0.921081i −0.494795 + 0.0903194i
\(105\) −2.04736 + 1.33484i −0.199802 + 0.130267i
\(106\) 0.169536 + 0.708989i 0.0164668 + 0.0688631i
\(107\) −2.30261 9.62934i −0.222602 0.930904i −0.965272 0.261247i \(-0.915866\pi\)
0.742671 0.669657i \(-0.233559\pi\)
\(108\) −10.6352 + 1.54693i −1.02337 + 0.148853i
\(109\) 3.97103 + 12.5287i 0.380356 + 1.20004i 0.930914 + 0.365238i \(0.119013\pi\)
−0.550558 + 0.834797i \(0.685585\pi\)
\(110\) −0.618353 0.470060i −0.0589577 0.0448185i
\(111\) 0.969680 1.22889i 0.0920379 0.116641i
\(112\) −3.16830 + 8.87059i −0.299377 + 0.838192i
\(113\) −1.13210 0.738103i −0.106499 0.0694349i 0.491798 0.870709i \(-0.336340\pi\)
−0.598297 + 0.801274i \(0.704156\pi\)
\(114\) −1.14044 0.478429i −0.106812 0.0448090i
\(115\) −1.37144 4.93949i −0.127888 0.460610i
\(116\) −0.864002 0.326301i −0.0802206 0.0302963i
\(117\) 5.81849 + 6.36898i 0.537919 + 0.588812i
\(118\) 0.460002 + 0.0500282i 0.0423466 + 0.00460547i
\(119\) 3.10010 15.4035i 0.284186 1.41204i
\(120\) 0.598245 + 0.609145i 0.0546120 + 0.0556071i
\(121\) 5.44304 + 6.40804i 0.494822 + 0.582549i
\(122\) −1.15813 + 2.00594i −0.104852 + 0.181609i
\(123\) 4.02014 + 6.96309i 0.362484 + 0.627841i
\(124\) −1.73839 + 4.86713i −0.156112 + 0.437081i
\(125\) −5.33327 + 5.05194i −0.477022 + 0.451859i
\(126\) −0.838773 + 0.184628i −0.0747238 + 0.0164480i
\(127\) 11.4993 5.32012i 1.02039 0.472085i 0.162935 0.986637i \(-0.447904\pi\)
0.857459 + 0.514552i \(0.172042\pi\)
\(128\) 6.68898 + 0.972940i 0.591228 + 0.0859965i
\(129\) −4.42051 9.11905i −0.389205 0.802887i
\(130\) 0.200532 0.996385i 0.0175878 0.0873888i
\(131\) 2.08593 12.7236i 0.182248 1.11166i −0.724276 0.689510i \(-0.757826\pi\)
0.906524 0.422154i \(-0.138726\pi\)
\(132\) −5.59047 8.92270i −0.486588 0.776621i
\(133\) 10.8056 + 3.64084i 0.936966 + 0.315701i
\(134\) 0.394085 + 1.10336i 0.0340437 + 0.0953154i
\(135\) 1.00341 4.19619i 0.0863598 0.361150i
\(136\) −5.48881 −0.470661
\(137\) 4.83984 20.2399i 0.413495 1.72921i −0.238643 0.971107i \(-0.576702\pi\)
0.652138 0.758100i \(-0.273872\pi\)
\(138\) −0.163162 + 1.80246i −0.0138893 + 0.153436i
\(139\) 21.9386 2.38596i 1.86080 0.202375i 0.892313 0.451418i \(-0.149082\pi\)
0.968492 + 0.249043i \(0.0801161\pi\)
\(140\) −2.91535 2.56835i −0.246392 0.217066i
\(141\) −12.7283 3.78281i −1.07192 0.318570i
\(142\) −1.21144 1.32606i −0.101662 0.111280i
\(143\) −10.2453 + 23.2368i −0.856755 + 1.94316i
\(144\) −2.23263 5.06369i −0.186052 0.421974i
\(145\) 0.250078 0.273738i 0.0207679 0.0227327i
\(146\) 0.576587 0.346921i 0.0477187 0.0287114i
\(147\) 0.601658 0.178810i 0.0496239 0.0147480i
\(148\) 2.29474 + 0.962672i 0.188627 + 0.0791311i
\(149\) −2.65655 3.36669i −0.217633 0.275810i 0.664013 0.747721i \(-0.268852\pi\)
−0.881646 + 0.471911i \(0.843564\pi\)
\(150\) 1.11780 0.468929i 0.0912678 0.0382879i
\(151\) 14.0949 + 2.57287i 1.14703 + 0.209377i 0.719412 0.694584i \(-0.244411\pi\)
0.427615 + 0.903961i \(0.359354\pi\)
\(152\) 0.502086 3.95147i 0.0407246 0.320507i
\(153\) 4.90123 + 7.82264i 0.396241 + 0.632423i
\(154\) −1.49347 2.04006i −0.120348 0.164393i
\(155\) −1.55685 1.37155i −0.125049 0.110166i
\(156\) 7.31518 11.6754i 0.585683 0.934783i
\(157\) −15.9856 + 13.0889i −1.27579 + 1.04461i −0.279359 + 0.960187i \(0.590122\pi\)
−0.996430 + 0.0844198i \(0.973096\pi\)
\(158\) 0.961964 0.403555i 0.0765297 0.0321051i
\(159\) −3.47094 1.92124i −0.275264 0.152365i
\(160\) −1.02231 + 1.77069i −0.0808204 + 0.139985i
\(161\) 0.301259 16.6837i 0.0237426 1.31486i
\(162\) −0.287146 + 0.423509i −0.0225604 + 0.0332740i
\(163\) 2.79863 + 5.27878i 0.219206 + 0.413466i 0.968588 0.248672i \(-0.0799941\pi\)
−0.749382 + 0.662138i \(0.769649\pi\)
\(164\) −8.95597 + 9.11915i −0.699344 + 0.712086i
\(165\) 4.15838 0.759068i 0.323730 0.0590933i
\(166\) 0.823777 + 2.59905i 0.0639375 + 0.201725i
\(167\) −6.65022 + 12.5436i −0.514609 + 0.970656i 0.480971 + 0.876737i \(0.340284\pi\)
−0.995580 + 0.0939193i \(0.970060\pi\)
\(168\) 1.30176 + 2.45538i 0.100433 + 0.189437i
\(169\) −20.2166 + 0.730345i −1.55512 + 0.0561804i
\(170\) 0.402561 1.01035i 0.0308751 0.0774905i
\(171\) −6.07996 + 2.81289i −0.464946 + 0.215107i
\(172\) 12.0881 10.6493i 0.921708 0.812003i
\(173\) 5.00525 5.47880i 0.380542 0.416546i −0.518036 0.855359i \(-0.673337\pi\)
0.898578 + 0.438813i \(0.144601\pi\)
\(174\) −0.116739 + 0.0592163i −0.00884997 + 0.00448918i
\(175\) −9.96712 + 5.05585i −0.753443 + 0.382187i
\(176\) 10.9881 12.0277i 0.828258 0.906619i
\(177\) −1.88950 + 1.66460i −0.142023 + 0.125119i
\(178\) −0.687297 + 0.317977i −0.0515151 + 0.0238334i
\(179\) −5.75026 + 14.4321i −0.429794 + 1.07870i 0.541474 + 0.840717i \(0.317866\pi\)
−0.971269 + 0.237985i \(0.923513\pi\)
\(180\) 2.28119 0.0824102i 0.170030 0.00614249i
\(181\) −4.87683 9.19867i −0.362492 0.683732i 0.633445 0.773788i \(-0.281640\pi\)
−0.995937 + 0.0900559i \(0.971295\pi\)
\(182\) 1.54964 2.92293i 0.114867 0.216662i
\(183\) −3.80859 12.0162i −0.281539 0.888266i
\(184\) −5.73433 + 1.04674i −0.422740 + 0.0771666i
\(185\) −0.700009 + 0.712763i −0.0514657 + 0.0524034i
\(186\) 0.343115 + 0.647183i 0.0251584 + 0.0474538i
\(187\) −15.2503 + 22.4925i −1.11521 + 1.64481i
\(188\) 0.381102 21.1054i 0.0277947 1.53927i
\(189\) 7.02191 12.1623i 0.510769 0.884678i
\(190\) 0.690543 + 0.382231i 0.0500973 + 0.0277300i
\(191\) −19.5962 + 8.22086i −1.41793 + 0.594840i −0.956342 0.292251i \(-0.905596\pi\)
−0.461593 + 0.887092i \(0.652722\pi\)
\(192\) −6.45821 + 5.28793i −0.466081 + 0.381624i
\(193\) 13.9200 22.2171i 1.00198 1.59922i 0.220415 0.975406i \(-0.429259\pi\)
0.781569 0.623818i \(-0.214419\pi\)
\(194\) −2.48100 2.18571i −0.178126 0.156925i
\(195\) 3.26729 + 4.46306i 0.233976 + 0.319606i
\(196\) 0.529769 + 0.845542i 0.0378407 + 0.0603958i
\(197\) 0.0233905 0.184085i 0.00166650 0.0131155i −0.991169 0.132605i \(-0.957666\pi\)
0.992836 + 0.119489i \(0.0381257\pi\)
\(198\) 1.46127 + 0.266738i 0.103848 + 0.0189563i
\(199\) 11.1932 4.69567i 0.793464 0.332867i 0.0475150 0.998871i \(-0.484870\pi\)
0.745949 + 0.666003i \(0.231996\pi\)
\(200\) 2.41842 + 3.06490i 0.171008 + 0.216721i
\(201\) −5.87969 2.46660i −0.414722 0.173981i
\(202\) 3.26895 0.971517i 0.230002 0.0683557i
\(203\) 1.03412 0.622209i 0.0725809 0.0436705i
\(204\) 9.94415 10.8850i 0.696230 0.762100i
\(205\) −2.07013 4.69514i −0.144584 0.327922i
\(206\) −0.724696 + 1.64364i −0.0504919 + 0.114518i
\(207\) 6.61227 + 7.23786i 0.459585 + 0.503066i
\(208\) 20.4338 + 6.07285i 1.41683 + 0.421076i
\(209\) −14.7976 13.0364i −1.02357 0.901745i
\(210\) −0.547448 + 0.0595386i −0.0377775 + 0.00410855i
\(211\) 0.657443 7.26283i 0.0452603 0.499994i −0.941410 0.337263i \(-0.890499\pi\)
0.986671 0.162730i \(-0.0520300\pi\)
\(212\) 1.46671 6.13368i 0.100734 0.421263i
\(213\) 9.77469 0.669751
\(214\) 0.518803 2.16960i 0.0354646 0.148311i
\(215\) 2.17538 + 6.09061i 0.148360 + 0.415376i
\(216\) −4.64912 1.56647i −0.316333 0.106585i
\(217\) −3.58579 5.72312i −0.243419 0.388511i
\(218\) −0.479079 + 2.92225i −0.0324473 + 0.197920i
\(219\) −0.722537 + 3.59007i −0.0488245 + 0.242595i
\(220\) 2.93121 + 6.04677i 0.197622 + 0.407673i
\(221\) −35.1885 5.11830i −2.36703 0.344294i
\(222\) 0.320102 0.148095i 0.0214838 0.00993948i
\(223\) 17.8580 3.93084i 1.19586 0.263228i 0.427958 0.903798i \(-0.359233\pi\)
0.767900 + 0.640570i \(0.221302\pi\)
\(224\) −4.83171 + 4.57684i −0.322832 + 0.305803i
\(225\) 2.20857 6.18353i 0.147238 0.412235i
\(226\) −0.152249 0.263704i −0.0101275 0.0175413i
\(227\) 1.99266 3.45138i 0.132257 0.229076i −0.792289 0.610146i \(-0.791111\pi\)
0.924546 + 0.381070i \(0.124444\pi\)
\(228\) 6.92661 + 8.15463i 0.458726 + 0.540054i
\(229\) 5.64113 + 5.74391i 0.372776 + 0.379568i 0.874145 0.485666i \(-0.161423\pi\)
−0.501368 + 0.865234i \(0.667170\pi\)
\(230\) 0.227890 1.13232i 0.0150266 0.0746628i
\(231\) 13.6787 + 1.48765i 0.899992 + 0.0978800i
\(232\) −0.284359 0.311263i −0.0186691 0.0204354i
\(233\) −11.2973 4.26657i −0.740112 0.279512i −0.0455666 0.998961i \(-0.514509\pi\)
−0.694545 + 0.719449i \(0.744394\pi\)
\(234\) 0.519988 + 1.87283i 0.0339927 + 0.122431i
\(235\) 7.81450 + 3.27827i 0.509761 + 0.213851i
\(236\) −3.35333 2.18629i −0.218283 0.142316i
\(237\) −1.90956 + 5.34636i −0.124039 + 0.347283i
\(238\) 2.19295 2.77917i 0.142148 0.180147i
\(239\) −5.96892 4.53746i −0.386098 0.293504i 0.394063 0.919084i \(-0.371069\pi\)
−0.780160 + 0.625580i \(0.784862\pi\)
\(240\) −1.07208 3.38246i −0.0692028 0.218337i
\(241\) −10.7699 + 1.56652i −0.693749 + 0.100909i −0.481681 0.876347i \(-0.659974\pi\)
−0.212067 + 0.977255i \(0.568020\pi\)
\(242\) 0.440564 + 1.84241i 0.0283205 + 0.118434i
\(243\) 3.19916 + 13.3787i 0.205226 + 0.858242i
\(244\) 16.7861 10.9442i 1.07462 0.700628i
\(245\) −0.394061 + 0.0719315i −0.0251756 + 0.00459553i
\(246\) 0.0980761 + 1.80891i 0.00625310 + 0.115332i
\(247\) 6.90359 24.8645i 0.439265 1.58209i
\(248\) −1.71281 + 1.62246i −0.108764 + 0.103026i
\(249\) −13.4664 6.23024i −0.853401 0.394825i
\(250\) −1.58658 + 0.471526i −0.100344 + 0.0298219i
\(251\) −9.20506 5.53850i −0.581019 0.349587i 0.194509 0.980901i \(-0.437689\pi\)
−0.775528 + 0.631313i \(0.782516\pi\)
\(252\) 7.19409 + 1.85821i 0.453185 + 0.117056i
\(253\) −11.6430 + 26.4069i −0.731990 + 1.66019i
\(254\) 2.85290 + 0.103064i 0.179007 + 0.00646679i
\(255\) 2.58184 + 5.32606i 0.161681 + 0.333531i
\(256\) −9.88394 6.96523i −0.617746 0.435327i
\(257\) −7.89672 + 6.00293i −0.492584 + 0.374453i −0.821776 0.569810i \(-0.807017\pi\)
0.329192 + 0.944263i \(0.393224\pi\)
\(258\) 0.0412231 2.28293i 0.00256644 0.142129i
\(259\) −2.84508 + 1.57482i −0.176785 + 0.0978544i
\(260\) −5.44674 + 6.90274i −0.337792 + 0.428090i
\(261\) −0.189692 + 0.683210i −0.0117417 + 0.0422897i
\(262\) 1.71601 2.34404i 0.106016 0.144815i
\(263\) 1.25118 3.14022i 0.0771509 0.193634i −0.885342 0.464940i \(-0.846076\pi\)
0.962493 + 0.271305i \(0.0874554\pi\)
\(264\) −0.433326 4.78698i −0.0266694 0.294619i
\(265\) 2.06958 + 1.45843i 0.127133 + 0.0895909i
\(266\) 1.80016 + 1.83296i 0.110375 + 0.112386i
\(267\) 1.24520 3.92865i 0.0762051 0.240430i
\(268\) 1.27765 10.0552i 0.0780447 0.614220i
\(269\) 0.0231588 0.427140i 0.00141202 0.0260432i −0.997742 0.0671559i \(-0.978608\pi\)
0.999155 + 0.0411127i \(0.0130903\pi\)
\(270\) 0.629326 0.740899i 0.0382995 0.0450897i
\(271\) −0.166368 + 1.83788i −0.0101061 + 0.111643i −0.999415 0.0341898i \(-0.989115\pi\)
0.989309 + 0.145833i \(0.0465862\pi\)
\(272\) 20.3436 + 10.3194i 1.23351 + 0.625703i
\(273\) 6.05588 + 16.9552i 0.366518 + 1.02618i
\(274\) 3.03548 3.57365i 0.183380 0.215892i
\(275\) 19.2790 1.39477i 1.16257 0.0841075i
\(276\) 8.31315 13.2683i 0.500393 0.798655i
\(277\) 14.5372 + 11.9029i 0.873455 + 0.715178i 0.959679 0.281098i \(-0.0906985\pi\)
−0.0862241 + 0.996276i \(0.527480\pi\)
\(278\) 4.65148 + 1.75669i 0.278977 + 0.105359i
\(279\) 3.84179 + 0.992320i 0.230002 + 0.0594086i
\(280\) −0.656480 1.64764i −0.0392322 0.0984654i
\(281\) 20.3313 10.3131i 1.21286 0.615228i 0.274735 0.961520i \(-0.411410\pi\)
0.938127 + 0.346292i \(0.112559\pi\)
\(282\) −2.17204 2.05746i −0.129343 0.122520i
\(283\) 14.2411 + 8.56856i 0.846543 + 0.509348i 0.871531 0.490340i \(-0.163127\pi\)
−0.0249885 + 0.999688i \(0.507955\pi\)
\(284\) 4.15705 + 14.9723i 0.246676 + 0.888445i
\(285\) −4.07048 + 1.37150i −0.241114 + 0.0812409i
\(286\) −4.42711 + 3.62488i −0.261781 + 0.214344i
\(287\) −2.10533 16.5692i −0.124274 0.978048i
\(288\) 0.211687 3.90434i 0.0124738 0.230065i
\(289\) −19.9490 6.72159i −1.17347 0.395388i
\(290\) 0.0781513 0.0295148i 0.00458920 0.00173317i
\(291\) 17.8887 1.94552i 1.04866 0.114048i
\(292\) −5.80637 + 0.420070i −0.339792 + 0.0245827i
\(293\) 1.53262 + 12.0619i 0.0895367 + 0.704663i 0.972116 + 0.234500i \(0.0753451\pi\)
−0.882580 + 0.470163i \(0.844195\pi\)
\(294\) 0.139121 + 0.0253951i 0.00811372 + 0.00148107i
\(295\) 1.31365 0.925733i 0.0764838 0.0538982i
\(296\) 0.735412 + 0.865794i 0.0427449 + 0.0503232i
\(297\) −19.3365 + 14.6992i −1.12202 + 0.852934i
\(298\) −0.190647 0.947269i −0.0110439 0.0548738i
\(299\) −37.7386 + 1.36334i −2.18248 + 0.0788441i
\(300\) −10.4596 0.756711i −0.603883 0.0436887i
\(301\) 1.13972 + 21.0209i 0.0656923 + 1.21162i
\(302\) 2.56996 + 1.95363i 0.147884 + 0.112419i
\(303\) −8.09558 + 16.7003i −0.465079 + 0.959408i
\(304\) −9.28997 + 13.7017i −0.532816 + 0.785845i
\(305\) 1.58724 + 7.88652i 0.0908850 + 0.451581i
\(306\) 0.187509 + 2.07143i 0.0107192 + 0.118416i
\(307\) −14.8575 2.16108i −0.847962 0.123339i −0.293922 0.955829i \(-0.594961\pi\)
−0.554040 + 0.832490i \(0.686915\pi\)
\(308\) 3.53867 + 21.5850i 0.201635 + 1.22992i
\(309\) −3.94389 8.94491i −0.224360 0.508858i
\(310\) −0.173034 0.434281i −0.00982764 0.0246655i
\(311\) 17.5311 + 16.6064i 0.994100 + 0.941662i 0.998297 0.0583297i \(-0.0185775\pi\)
−0.00419740 + 0.999991i \(0.501336\pi\)
\(312\) 5.38914 3.24254i 0.305100 0.183572i
\(313\) −31.9437 7.03134i −1.80557 0.397435i −0.820785 0.571237i \(-0.806464\pi\)
−0.984781 + 0.173802i \(0.944395\pi\)
\(314\) −4.54622 + 1.00070i −0.256558 + 0.0564726i
\(315\) −1.76201 + 2.40687i −0.0992780 + 0.135612i
\(316\) −9.00137 0.651217i −0.506367 0.0366338i
\(317\) −14.0346 + 14.2903i −0.788262 + 0.802624i −0.984026 0.178027i \(-0.943029\pi\)
0.195764 + 0.980651i \(0.437281\pi\)
\(318\) −0.501618 0.739831i −0.0281293 0.0414877i
\(319\) −2.06559 + 0.300448i −0.115651 + 0.0168219i
\(320\) 4.46229 2.90931i 0.249450 0.162636i
\(321\) 6.81287 + 10.0482i 0.380258 + 0.560838i
\(322\) 1.76105 3.32169i 0.0981393 0.185110i
\(323\) 12.0452 24.8481i 0.670215 1.38258i
\(324\) 3.87295 2.14376i 0.215164 0.119098i
\(325\) 12.6463 + 21.9041i 0.701493 + 1.21502i
\(326\) 0.0243042 + 1.34596i 0.00134608 + 0.0745459i
\(327\) −9.98277 12.6513i −0.552048 0.699620i
\(328\) −5.52923 + 1.86301i −0.305301 + 0.102868i
\(329\) 21.3425 + 17.4751i 1.17665 + 0.963433i
\(330\) 0.912946 + 0.271324i 0.0502560 + 0.0149359i
\(331\) −15.4826 + 3.99911i −0.851003 + 0.219811i −0.650146 0.759809i \(-0.725292\pi\)
−0.200857 + 0.979621i \(0.564373\pi\)
\(332\) 3.81604 23.2768i 0.209432 1.27748i
\(333\) 0.577241 1.82122i 0.0316326 0.0998021i
\(334\) −2.61481 + 1.84266i −0.143076 + 0.100826i
\(335\) 3.56018 + 1.97064i 0.194514 + 0.107668i
\(336\) −0.208523 11.5480i −0.0113758 0.629993i
\(337\) 25.2343 + 16.4522i 1.37460 + 0.896210i 0.999526 0.0307847i \(-0.00980061\pi\)
0.375076 + 0.926994i \(0.377617\pi\)
\(338\) −4.13673 1.91385i −0.225008 0.104100i
\(339\) 1.61838 + 0.356232i 0.0878984 + 0.0193479i
\(340\) −7.06015 + 6.21983i −0.382890 + 0.337318i
\(341\) 1.88972 + 11.5268i 0.102334 + 0.624211i
\(342\) −1.50840 0.0544925i −0.0815651 0.00294662i
\(343\) −19.0219 2.06876i −1.02709 0.111703i
\(344\) 7.12033 1.83916i 0.383902 0.0991607i
\(345\) 3.71303 + 5.07193i 0.199903 + 0.273064i
\(346\) 1.56418 0.590732i 0.0840908 0.0317579i
\(347\) 20.7549 + 10.5280i 1.11418 + 0.565172i 0.910352 0.413835i \(-0.135811\pi\)
0.203829 + 0.979007i \(0.434661\pi\)
\(348\) 1.13245 0.0607057
\(349\) 10.4720 15.4705i 0.560556 0.828117i
\(350\) −2.51810 −0.134598
\(351\) −28.3446 14.3779i −1.51292 0.767434i
\(352\) 10.7682 4.06673i 0.573946 0.216758i
\(353\) −9.73137 13.2929i −0.517948 0.707508i 0.466235 0.884661i \(-0.345610\pi\)
−0.984183 + 0.177153i \(0.943311\pi\)
\(354\) −0.549338 + 0.141892i −0.0291970 + 0.00754148i
\(355\) −6.20157 0.674461i −0.329145 0.0357967i
\(356\) 6.54727 + 0.236526i 0.347005 + 0.0125359i
\(357\) 3.11690 + 19.0123i 0.164964 + 1.00624i
\(358\) −2.62645 + 2.31384i −0.138812 + 0.122290i
\(359\) 8.65543 + 1.90520i 0.456816 + 0.100553i 0.437417 0.899259i \(-0.355894\pi\)
0.0193996 + 0.999812i \(0.493825\pi\)
\(360\) 0.945711 + 0.437532i 0.0498433 + 0.0230600i
\(361\) 0.870604 + 0.567614i 0.0458213 + 0.0298744i
\(362\) −0.0423518 2.34544i −0.00222596 0.123274i
\(363\) −9.01973 4.99262i −0.473413 0.262045i
\(364\) −23.3956 + 16.4869i −1.22626 + 0.864148i
\(365\) 0.706132 2.22787i 0.0369607 0.116612i
\(366\) 0.459482 2.80272i 0.0240175 0.146500i
\(367\) 7.94556 2.05231i 0.414755 0.107130i −0.0369076 0.999319i \(-0.511751\pi\)
0.451662 + 0.892189i \(0.350831\pi\)
\(368\) 23.2215 + 6.90134i 1.21051 + 0.359757i
\(369\) 7.59249 + 6.21667i 0.395249 + 0.323627i
\(370\) −0.213308 + 0.0718718i −0.0110893 + 0.00373644i
\(371\) 5.10500 + 6.46965i 0.265038 + 0.335888i
\(372\) −0.114412 6.33615i −0.00593201 0.328514i
\(373\) 3.43529 + 5.95009i 0.177872 + 0.308084i 0.941152 0.337985i \(-0.109745\pi\)
−0.763279 + 0.646069i \(0.776412\pi\)
\(374\) −5.35693 + 2.96518i −0.277000 + 0.153326i
\(375\) 3.92919 8.10550i 0.202903 0.418566i
\(376\) 4.51356 8.51348i 0.232769 0.439049i
\(377\) −1.53276 2.26065i −0.0789412 0.116430i
\(378\) 2.65063 1.72815i 0.136334 0.0888865i
\(379\) 29.2610 4.25613i 1.50304 0.218623i 0.657873 0.753129i \(-0.271456\pi\)
0.845165 + 0.534506i \(0.179502\pi\)
\(380\) −3.83192 5.65166i −0.196573 0.289924i
\(381\) −10.8860 + 11.0843i −0.557706 + 0.567867i
\(382\) −4.77555 0.345494i −0.244338 0.0176770i
\(383\) −9.46750 + 12.9324i −0.483767 + 0.660816i −0.978022 0.208500i \(-0.933142\pi\)
0.494256 + 0.869317i \(0.335441\pi\)
\(384\) −8.09438 + 1.78171i −0.413065 + 0.0909224i
\(385\) −8.57582 1.88768i −0.437064 0.0962051i
\(386\) 5.06157 3.04545i 0.257627 0.155009i
\(387\) −8.97926 8.50560i −0.456441 0.432364i
\(388\) 10.5879 + 26.5736i 0.537518 + 1.34907i
\(389\) 3.97878 + 9.02404i 0.201732 + 0.457537i 0.986815 0.161854i \(-0.0517474\pi\)
−0.785083 + 0.619391i \(0.787380\pi\)
\(390\) 0.201619 + 1.22982i 0.0102094 + 0.0622744i
\(391\) −39.9890 5.81657i −2.02233 0.294156i
\(392\) 0.0410632 + 0.453629i 0.00207401 + 0.0229117i
\(393\) 3.11928 + 15.4988i 0.157347 + 0.781811i
\(394\) 0.0234632 0.0346056i 0.00118206 0.00174341i
\(395\) 1.58042 3.26024i 0.0795197 0.164041i
\(396\) −10.2304 7.77694i −0.514097 0.390806i
\(397\) −2.04919 37.7951i −0.102846 1.89688i −0.363721 0.931508i \(-0.618494\pi\)
0.260875 0.965373i \(-0.415989\pi\)
\(398\) 2.72775 + 0.197343i 0.136730 + 0.00989189i
\(399\) −13.9723 + 0.504764i −0.699491 + 0.0252698i
\(400\) −3.20133 15.9065i −0.160067 0.795324i
\(401\) 23.3138 17.7227i 1.16424 0.885030i 0.169303 0.985564i \(-0.445848\pi\)
0.994934 + 0.100534i \(0.0320551\pi\)
\(402\) −0.930041 1.09493i −0.0463863 0.0546101i
\(403\) −12.4937 + 8.80433i −0.622356 + 0.438575i
\(404\) −29.0236 5.29794i −1.44398 0.263583i
\(405\) 0.224005 + 1.76295i 0.0111309 + 0.0876015i
\(406\) 0.271213 0.0196213i 0.0134601 0.000973788i
\(407\) 5.59121 0.608080i 0.277146 0.0301414i
\(408\) 6.29618 2.37783i 0.311707 0.117720i
\(409\) 16.9469 + 5.71009i 0.837972 + 0.282346i 0.705384 0.708825i \(-0.250775\pi\)
0.132588 + 0.991171i \(0.457671\pi\)
\(410\) 0.0625914 1.15443i 0.00309117 0.0570133i
\(411\) 3.21644 + 25.3137i 0.158655 + 1.24863i
\(412\) 12.0241 9.84520i 0.592383 0.485038i
\(413\) 4.95723 1.67029i 0.243929 0.0821894i
\(414\) 0.590927 + 2.12833i 0.0290425 + 0.104602i
\(415\) 8.11391 + 4.88198i 0.398296 + 0.239647i
\(416\) 10.9347 + 10.3579i 0.536116 + 0.507836i
\(417\) −24.1320 + 12.2410i −1.18175 + 0.599445i
\(418\) −1.64465 4.12777i −0.0804427 0.201896i
\(419\) 1.07456 + 0.277554i 0.0524956 + 0.0135594i 0.276245 0.961087i \(-0.410910\pi\)
−0.223749 + 0.974647i \(0.571830\pi\)
\(420\) 4.45682 + 1.68317i 0.217471 + 0.0821305i
\(421\) −15.5987 12.7721i −0.760235 0.622475i 0.171679 0.985153i \(-0.445081\pi\)
−0.931914 + 0.362678i \(0.881862\pi\)
\(422\) 0.872379 1.39237i 0.0424668 0.0677793i
\(423\) −16.1638 + 1.16939i −0.785910 + 0.0568577i
\(424\) 1.86376 2.19419i 0.0905123 0.106559i
\(425\) 9.10366 + 25.4884i 0.441592 + 1.23637i
\(426\) 1.96411 + 0.996299i 0.0951612 + 0.0482708i
\(427\) −2.36072 + 26.0790i −0.114243 + 1.26205i
\(428\) −12.4939 + 14.7090i −0.603917 + 0.710986i
\(429\) 1.68582 31.0932i 0.0813923 1.50119i
\(430\) −0.183678 + 1.44556i −0.00885774 + 0.0697113i
\(431\) 1.82746 5.76570i 0.0880257 0.277724i −0.899082 0.437780i \(-0.855765\pi\)
0.987108 + 0.160056i \(0.0511673\pi\)
\(432\) 14.2863 + 14.5466i 0.687351 + 0.699875i
\(433\) 18.7472 + 13.2111i 0.900931 + 0.634887i 0.931142 0.364656i \(-0.118814\pi\)
−0.0302116 + 0.999544i \(0.509618\pi\)
\(434\) −0.137184 1.51548i −0.00658503 0.0727453i
\(435\) −0.168276 + 0.422341i −0.00806821 + 0.0202497i
\(436\) 15.1331 20.6715i 0.724743 0.989986i
\(437\) 7.84541 28.2566i 0.375297 1.35170i
\(438\) −0.511108 + 0.647736i −0.0244217 + 0.0309500i
\(439\) 24.6519 13.6454i 1.17657 0.651257i 0.229821 0.973233i \(-0.426186\pi\)
0.946748 + 0.321976i \(0.104347\pi\)
\(440\) −0.0553813 + 3.06701i −0.00264020 + 0.146214i
\(441\) 0.609843 0.463591i 0.0290402 0.0220758i
\(442\) −6.54901 4.61509i −0.311504 0.219518i
\(443\) 3.11017 + 6.41595i 0.147769 + 0.304831i 0.960729 0.277488i \(-0.0895019\pi\)
−0.812961 + 0.582319i \(0.802146\pi\)
\(444\) −3.04933 0.110160i −0.144715 0.00522796i
\(445\) −1.06110 + 2.40662i −0.0503010 + 0.114085i
\(446\) 3.98900 + 1.03034i 0.188885 + 0.0487882i
\(447\) 4.50581 + 2.71106i 0.213118 + 0.128229i
\(448\) 16.6209 4.93965i 0.785261 0.233376i
\(449\) 36.4511 + 16.8641i 1.72023 + 0.795864i 0.994119 + 0.108289i \(0.0345372\pi\)
0.726113 + 0.687575i \(0.241325\pi\)
\(450\) 1.07405 1.01739i 0.0506312 0.0479604i
\(451\) −7.72817 + 27.8344i −0.363905 + 1.31067i
\(452\) 0.142619 + 2.63045i 0.00670823 + 0.123726i
\(453\) −17.2828 + 3.15478i −0.812016 + 0.148225i
\(454\) 0.752187 0.490409i 0.0353019 0.0230160i
\(455\) −2.67224 11.1751i −0.125276 0.523897i
\(456\) 1.13589 + 4.75022i 0.0531930 + 0.222449i
\(457\) −3.53838 + 0.514672i −0.165519 + 0.0240753i −0.226194 0.974082i \(-0.572628\pi\)
0.0606758 + 0.998158i \(0.480674\pi\)
\(458\) 0.548060 + 1.72915i 0.0256092 + 0.0807978i
\(459\) −27.0753 20.5821i −1.26377 0.960689i
\(460\) −6.18981 + 7.84445i −0.288601 + 0.365749i
\(461\) −1.84602 + 5.16848i −0.0859779 + 0.240720i −0.977000 0.213240i \(-0.931598\pi\)
0.891022 + 0.453960i \(0.149989\pi\)
\(462\) 2.59694 + 1.69314i 0.120820 + 0.0787722i
\(463\) 2.70459 + 1.13461i 0.125693 + 0.0527297i 0.448797 0.893634i \(-0.351853\pi\)
−0.323104 + 0.946364i \(0.604726\pi\)
\(464\) 0.468747 + 1.68827i 0.0217610 + 0.0783761i
\(465\) 2.38003 + 0.898848i 0.110371 + 0.0416831i
\(466\) −1.83518 2.00881i −0.0850132 0.0930563i
\(467\) 32.0409 + 3.48466i 1.48268 + 0.161251i 0.813376 0.581739i \(-0.197627\pi\)
0.669303 + 0.742990i \(0.266593\pi\)
\(468\) 3.31772 16.4848i 0.153362 0.762009i
\(469\) 9.28096 + 9.45006i 0.428555 + 0.436363i
\(470\) 1.23609 + 1.45523i 0.0570164 + 0.0671249i
\(471\) 12.6667 21.9394i 0.583651 1.01091i
\(472\) −0.913684 1.58255i −0.0420557 0.0728426i
\(473\) 12.2467 34.2882i 0.563104 1.57657i
\(474\) −0.928637 + 0.879652i −0.0426537 + 0.0404037i
\(475\) −19.1822 + 4.22232i −0.880139 + 0.193733i
\(476\) −27.7964 + 12.8600i −1.27405 + 0.589437i
\(477\) −4.79140 0.696928i −0.219383 0.0319102i
\(478\) −0.736896 1.52014i −0.0337048 0.0695295i
\(479\) 7.42699 36.9025i 0.339348 1.68612i −0.330647 0.943755i \(-0.607267\pi\)
0.669995 0.742366i \(-0.266296\pi\)
\(480\) 0.405595 2.47402i 0.0185128 0.112923i
\(481\) 3.90734 + 6.23633i 0.178159 + 0.284352i
\(482\) −2.32375 0.782961i −0.105844 0.0356629i
\(483\) 6.88205 + 19.2683i 0.313144 + 0.876738i
\(484\) 3.81146 15.9392i 0.173248 0.724511i
\(485\) −11.4838 −0.521451
\(486\) −0.720806 + 3.01436i −0.0326964 + 0.136734i
\(487\) 2.47435 27.3343i 0.112123 1.23864i −0.723886 0.689920i \(-0.757646\pi\)
0.836009 0.548716i \(-0.184883\pi\)
\(488\) 9.09382 0.989012i 0.411658 0.0447705i
\(489\) −5.49714 4.84285i −0.248589 0.219001i
\(490\) −0.0865134 0.0257114i −0.00390828 0.00116152i
\(491\) −19.1202 20.9292i −0.862883 0.944521i 0.136050 0.990702i \(-0.456559\pi\)
−0.998933 + 0.0461812i \(0.985295\pi\)
\(492\) 6.32280 14.3404i 0.285054 0.646514i
\(493\) −1.17912 2.67430i −0.0531051 0.120445i
\(494\) 3.92154 4.29256i 0.176438 0.193131i
\(495\) 4.42055 2.65975i 0.198689 0.119547i
\(496\) 9.39868 2.79325i 0.422013 0.125420i
\(497\) −18.7244 7.85512i −0.839906 0.352350i
\(498\) −2.07089 2.62448i −0.0927989 0.117606i
\(499\) −17.3999 + 7.29947i −0.778927 + 0.326769i −0.740117 0.672478i \(-0.765230\pi\)
−0.0388095 + 0.999247i \(0.512357\pi\)
\(500\) 14.0866 + 2.57136i 0.629972 + 0.114995i
\(501\) 2.19434 17.2697i 0.0980360 0.771553i
\(502\) −1.28513 2.05113i −0.0573580 0.0915466i
\(503\) −13.6859 18.6946i −0.610222 0.833553i 0.385807 0.922580i \(-0.373923\pi\)
−0.996029 + 0.0890270i \(0.971624\pi\)
\(504\) 2.54504 + 2.24213i 0.113365 + 0.0998722i
\(505\) 6.28859 10.0369i 0.279839 0.446638i
\(506\) −5.03108 + 4.11941i −0.223659 + 0.183130i
\(507\) 22.8740 9.59589i 1.01587 0.426169i
\(508\) −21.6080 11.9605i −0.958702 0.530663i
\(509\) 9.69772 16.7969i 0.429844 0.744512i −0.567015 0.823707i \(-0.691902\pi\)
0.996859 + 0.0791958i \(0.0252352\pi\)
\(510\) −0.0240767 + 1.33336i −0.00106613 + 0.0590424i
\(511\) 4.26914 6.29652i 0.188856 0.278541i
\(512\) −7.60841 14.3510i −0.336248 0.634230i
\(513\) 17.2940 17.6091i 0.763550 0.777462i
\(514\) −2.19861 + 0.401332i −0.0969765 + 0.0177020i
\(515\) 1.88500 + 5.94724i 0.0830631 + 0.262067i
\(516\) −9.25273 + 17.4525i −0.407329 + 0.768303i
\(517\) −22.3466 42.1502i −0.982802 1.85376i
\(518\) −0.732200 + 0.0264514i −0.0321710 + 0.00116221i
\(519\) −3.36800 + 8.45305i −0.147839 + 0.371048i
\(520\) −3.64288 + 1.68538i −0.159751 + 0.0739087i
\(521\) −6.19162 + 5.45467i −0.271260 + 0.238973i −0.785782 0.618503i \(-0.787739\pi\)
0.514523 + 0.857477i \(0.327969\pi\)
\(522\) −0.107754 + 0.117948i −0.00471625 + 0.00516245i
\(523\) −1.90983 + 0.968766i −0.0835109 + 0.0423612i −0.493640 0.869666i \(-0.664334\pi\)
0.410129 + 0.912027i \(0.365484\pi\)
\(524\) −22.4136 + 11.3694i −0.979144 + 0.496674i
\(525\) 9.24295 10.1174i 0.403396 0.441561i
\(526\) 0.571480 0.503461i 0.0249177 0.0219519i
\(527\) −14.8438 + 6.86749i −0.646608 + 0.299152i
\(528\) −7.39380 + 18.5570i −0.321774 + 0.807592i
\(529\) −19.9020 + 0.718980i −0.865305 + 0.0312600i
\(530\) 0.267203 + 0.503999i 0.0116066 + 0.0218923i
\(531\) −1.43957 + 2.71531i −0.0624719 + 0.117835i
\(532\) −6.71542 21.1874i −0.291150 0.918590i
\(533\) −37.1849 + 6.78769i −1.61066 + 0.294008i
\(534\) 0.650642 0.662496i 0.0281560 0.0286690i
\(535\) −3.62910 6.84521i −0.156900 0.295944i
\(536\) 2.59662 3.82972i 0.112157 0.165419i
\(537\) 0.343916 19.0460i 0.0148411 0.821896i
\(538\) 0.0481903 0.0834681i 0.00207763 0.00359856i
\(539\) 1.97301 + 1.09210i 0.0849834 + 0.0470402i
\(540\) −7.75518 + 3.25339i −0.333730 + 0.140004i
\(541\) −8.33163 + 6.82187i −0.358205 + 0.293295i −0.795416 0.606064i \(-0.792748\pi\)
0.437212 + 0.899359i \(0.355966\pi\)
\(542\) −0.220758 + 0.352342i −0.00948236 + 0.0151344i
\(543\) 9.57917 + 8.43903i 0.411082 + 0.362153i
\(544\) 9.52049 + 13.0048i 0.408188 + 0.557577i
\(545\) 5.46063 + 8.71547i 0.233908 + 0.373330i
\(546\) −0.511327 + 4.02420i −0.0218828 + 0.172220i
\(547\) −9.61185 1.75454i −0.410973 0.0750186i −0.0298757 0.999554i \(-0.509511\pi\)
−0.381097 + 0.924535i \(0.624454\pi\)
\(548\) −37.4063 + 15.6924i −1.59792 + 0.670345i
\(549\) −9.52986 12.0774i −0.406724 0.515449i
\(550\) 4.01605 + 1.68478i 0.171245 + 0.0718392i
\(551\) 2.03313 0.604237i 0.0866142 0.0257414i
\(552\) 6.12435 3.68490i 0.260670 0.156840i
\(553\) 7.95438 8.70695i 0.338255 0.370257i
\(554\) 1.70785 + 3.87347i 0.0725595 + 0.164568i
\(555\) 0.494197 1.12086i 0.0209775 0.0475779i
\(556\) −29.0132 31.7581i −1.23043 1.34684i
\(557\) −3.54055 1.05224i −0.150018 0.0445847i 0.208998 0.977916i \(-0.432980\pi\)
−0.359016 + 0.933331i \(0.616888\pi\)
\(558\) 0.670817 + 0.590974i 0.0283979 + 0.0250179i
\(559\) 47.3631 5.15105i 2.00324 0.217866i
\(560\) −0.664520 + 7.34101i −0.0280811 + 0.310214i
\(561\) 7.74944 32.4076i 0.327182 1.36825i
\(562\) 5.13650 0.216670
\(563\) −7.22427 + 30.2114i −0.304467 + 1.27326i 0.583032 + 0.812449i \(0.301866\pi\)
−0.887499 + 0.460809i \(0.847559\pi\)
\(564\) 8.70598 + 24.3749i 0.366588 + 1.02637i
\(565\) −1.00220 0.337682i −0.0421630 0.0142064i
\(566\) 1.98821 + 3.17329i 0.0835705 + 0.133383i
\(567\) −0.935842 + 5.70839i −0.0393017 + 0.239730i
\(568\) −1.39953 + 6.95384i −0.0587228 + 0.291777i
\(569\) 5.98375 + 12.3438i 0.250852 + 0.517480i 0.987271 0.159045i \(-0.0508414\pi\)
−0.736420 + 0.676525i \(0.763485\pi\)
\(570\) −0.957706 0.139302i −0.0401139 0.00583473i
\(571\) 1.61609 0.747683i 0.0676313 0.0312896i −0.385782 0.922590i \(-0.626068\pi\)
0.453413 + 0.891300i \(0.350206\pi\)
\(572\) 48.3438 10.6413i 2.02136 0.444934i
\(573\) 18.9173 17.9195i 0.790284 0.748596i
\(574\) 1.26580 3.54397i 0.0528333 0.147922i
\(575\) 14.3716 + 24.8924i 0.599338 + 1.03808i
\(576\) −5.09355 + 8.82229i −0.212231 + 0.367595i
\(577\) 11.7396 + 13.8209i 0.488727 + 0.575373i 0.950145 0.311809i \(-0.100935\pi\)
−0.461418 + 0.887183i \(0.652659\pi\)
\(578\) −3.32340 3.38395i −0.138235 0.140754i
\(579\) −6.34279 + 31.5155i −0.263598 + 1.30974i
\(580\) −0.718484 0.0781399i −0.0298334 0.00324458i
\(581\) 20.7896 + 22.7565i 0.862499 + 0.944101i
\(582\) 3.79282 + 1.43241i 0.157218 + 0.0593751i
\(583\) −3.81319 13.7339i −0.157926 0.568799i
\(584\) −2.45057 1.02804i −0.101405 0.0425408i
\(585\) 5.65491 + 3.68687i 0.233802 + 0.152433i
\(586\) −0.921463 + 2.57990i −0.0380653 + 0.106575i
\(587\) 0.926692 1.17441i 0.0382487 0.0484732i −0.765539 0.643390i \(-0.777528\pi\)
0.803788 + 0.594916i \(0.202815\pi\)
\(588\) −0.973995 0.740412i −0.0401669 0.0305341i
\(589\) −3.58617 11.3145i −0.147766 0.466205i
\(590\) 0.358319 0.0521189i 0.0147518 0.00214570i
\(591\) 0.0529173 + 0.221296i 0.00217673 + 0.00910291i
\(592\) −1.09796 4.59158i −0.0451258 0.188713i
\(593\) 14.5921 9.51373i 0.599226 0.390682i −0.210411 0.977613i \(-0.567480\pi\)
0.809637 + 0.586931i \(0.199664\pi\)
\(594\) −5.38367 + 0.982730i −0.220895 + 0.0403219i
\(595\) −0.665663 12.2774i −0.0272895 0.503326i
\(596\) −2.23639 + 8.05474i −0.0916060 + 0.329935i
\(597\) −10.8054 + 10.2354i −0.442236 + 0.418908i
\(598\) −7.72207 3.57261i −0.315779 0.146095i
\(599\) −5.16073 + 1.53375i −0.210862 + 0.0626672i −0.388583 0.921414i \(-0.627035\pi\)
0.177722 + 0.984081i \(0.443127\pi\)
\(600\) −4.10191 2.46804i −0.167460 0.100757i
\(601\) 20.0820 + 5.18710i 0.819161 + 0.211586i 0.636190 0.771532i \(-0.280509\pi\)
0.182970 + 0.983118i \(0.441429\pi\)
\(602\) −1.91357 + 4.34006i −0.0779913 + 0.176888i
\(603\) −7.77676 0.280943i −0.316694 0.0114409i
\(604\) −12.1825 25.1311i −0.495698 1.02257i
\(605\) 5.37809 + 3.78995i 0.218650 + 0.154083i
\(606\) −3.32891 + 2.53057i −0.135228 + 0.102798i
\(607\) −0.544478 + 30.1532i −0.0220997 + 1.22388i 0.779649 + 0.626217i \(0.215398\pi\)
−0.801748 + 0.597662i \(0.796097\pi\)
\(608\) −10.2332 + 5.66433i −0.415012 + 0.229719i
\(609\) −0.916682 + 1.16173i −0.0371458 + 0.0470756i
\(610\) −0.484908 + 1.74648i −0.0196334 + 0.0707130i
\(611\) 36.8750 50.3706i 1.49180 2.03778i
\(612\) 6.66021 16.7159i 0.269223 0.675699i
\(613\) −0.0356948 0.394323i −0.00144170 0.0159266i 0.995175 0.0981135i \(-0.0312808\pi\)
−0.996617 + 0.0821869i \(0.973810\pi\)
\(614\) −2.76516 1.94861i −0.111593 0.0786397i
\(615\) 4.40863 + 4.48895i 0.177773 + 0.181012i
\(616\) −3.01683 + 9.51819i −0.121551 + 0.383499i
\(617\) −3.92904 + 30.9219i −0.158177 + 1.24487i 0.693366 + 0.720585i \(0.256127\pi\)
−0.851543 + 0.524284i \(0.824333\pi\)
\(618\) 0.119246 2.19936i 0.00479677 0.0884712i
\(619\) −20.5754 + 24.2232i −0.826994 + 0.973613i −0.999936 0.0113191i \(-0.996397\pi\)
0.172942 + 0.984932i \(0.444673\pi\)
\(620\) −0.364610 + 4.02788i −0.0146431 + 0.161763i
\(621\) −32.2115 16.3394i −1.29260 0.655676i
\(622\) 1.83004 + 5.12374i 0.0733780 + 0.205443i
\(623\) −5.54245 + 6.52508i −0.222054 + 0.261422i
\(624\) −26.0704 + 1.88610i −1.04365 + 0.0755043i
\(625\) 8.59570 13.7192i 0.343828 0.548769i
\(626\) −5.70202 4.66877i −0.227899 0.186602i
\(627\) 22.6218 + 8.54340i 0.903428 + 0.341191i
\(628\) 38.9925 + 10.0716i 1.55597 + 0.401902i
\(629\) 2.91486 + 7.31575i 0.116223 + 0.291698i
\(630\) −0.599379 + 0.304037i −0.0238798 + 0.0121131i
\(631\) −9.51134 9.00962i −0.378641 0.358667i 0.474585 0.880210i \(-0.342598\pi\)
−0.853225 + 0.521542i \(0.825357\pi\)
\(632\) −3.53006 2.12397i −0.140418 0.0844868i
\(633\) 2.39221 + 8.61596i 0.0950818 + 0.342454i
\(634\) −4.27664 + 1.44097i −0.169847 + 0.0572282i
\(635\) 7.67145 6.28132i 0.304432 0.249267i
\(636\) 0.974741 + 7.67131i 0.0386510 + 0.304187i
\(637\) −0.159754 + 2.94648i −0.00632967 + 0.116744i
\(638\) −0.445679 0.150167i −0.0176446 0.00594516i
\(639\) 11.1603 4.21482i 0.441495 0.166736i
\(640\) 5.25843 0.571889i 0.207858 0.0226059i
\(641\) −26.0470 + 1.88441i −1.02879 + 0.0744295i −0.576218 0.817296i \(-0.695472\pi\)
−0.452577 + 0.891725i \(0.649495\pi\)
\(642\) 0.344784 + 2.71348i 0.0136075 + 0.107093i
\(643\) −22.3438 4.07861i −0.881153 0.160845i −0.280020 0.959994i \(-0.590341\pi\)
−0.601133 + 0.799149i \(0.705284\pi\)
\(644\) −26.5873 + 18.7361i −1.04769 + 0.738306i
\(645\) −5.13390 6.04410i −0.202147 0.237986i
\(646\) 4.95302 3.76519i 0.194874 0.148139i
\(647\) 5.37795 + 26.7215i 0.211429 + 1.05053i 0.933464 + 0.358672i \(0.116770\pi\)
−0.722035 + 0.691857i \(0.756793\pi\)
\(648\) 2.01942 0.0729533i 0.0793301 0.00286588i
\(649\) −9.02369 0.652831i −0.354211 0.0256259i
\(650\) 0.308522 + 5.69036i 0.0121012 + 0.223194i
\(651\) 6.59258 + 5.01155i 0.258383 + 0.196418i
\(652\) 5.08016 10.4798i 0.198954 0.410422i
\(653\) −18.8884 + 27.8583i −0.739161 + 1.09018i 0.253272 + 0.967395i \(0.418493\pi\)
−0.992433 + 0.122786i \(0.960817\pi\)
\(654\) −0.716412 3.55964i −0.0280139 0.139193i
\(655\) −0.909604 10.0485i −0.0355412 0.392626i
\(656\) 23.9960 + 3.49031i 0.936887 + 0.136274i
\(657\) 0.723072 + 4.41054i 0.0282097 + 0.172072i
\(658\) 2.50735 + 5.68677i 0.0977466 + 0.221694i
\(659\) −1.34695 3.38058i −0.0524696 0.131689i 0.900406 0.435052i \(-0.143270\pi\)
−0.952875 + 0.303363i \(0.901891\pi\)
\(660\) −5.98191 5.66637i −0.232846 0.220563i
\(661\) −0.850676 + 0.511835i −0.0330875 + 0.0199081i −0.532001 0.846743i \(-0.678560\pi\)
0.498914 + 0.866651i \(0.333732\pi\)
\(662\) −3.51866 0.774517i −0.136757 0.0301024i
\(663\) 42.5818 9.37296i 1.65374 0.364016i
\(664\) 6.36038 8.68816i 0.246831 0.337166i
\(665\) 8.89959 + 0.643853i 0.345111 + 0.0249675i
\(666\) 0.301620 0.307115i 0.0116875 0.0119005i
\(667\) −1.74187 2.56906i −0.0674454 0.0994745i
\(668\) 27.3860 3.98341i 1.05960 0.154123i
\(669\) −18.7819 + 12.2454i −0.726149 + 0.473433i
\(670\) 0.514515 + 0.758853i 0.0198775 + 0.0293171i
\(671\) 21.2137 40.0133i 0.818945 1.54469i
\(672\) 3.55967 7.34323i 0.137317 0.283271i
\(673\) 19.7988 10.9591i 0.763187 0.422441i −0.0542003 0.998530i \(-0.517261\pi\)
0.817387 + 0.576089i \(0.195422\pi\)
\(674\) 3.39362 + 5.87792i 0.130717 + 0.226409i
\(675\) 0.436751 + 24.1872i 0.0168106 + 0.930968i
\(676\) 24.4265 + 30.9561i 0.939480 + 1.19062i
\(677\) 33.7270 11.3640i 1.29623 0.436752i 0.415168 0.909745i \(-0.363723\pi\)
0.881067 + 0.472992i \(0.156826\pi\)
\(678\) 0.288884 + 0.236536i 0.0110945 + 0.00908412i
\(679\) −35.8312 10.6489i −1.37507 0.408666i
\(680\) −4.15869 + 1.07418i −0.159479 + 0.0411928i
\(681\) −0.790577 + 4.82230i −0.0302950 + 0.184791i
\(682\) −0.795168 + 2.50878i −0.0304486 + 0.0960663i
\(683\) −15.6282 + 11.0132i −0.597997 + 0.421409i −0.835118 0.550071i \(-0.814601\pi\)
0.237121 + 0.971480i \(0.423796\pi\)
\(684\) 11.4247 + 6.32385i 0.436836 + 0.241799i
\(685\) −0.294010 16.2823i −0.0112335 0.622113i
\(686\) −3.61137 2.35453i −0.137883 0.0898964i
\(687\) −8.95925 4.14499i −0.341817 0.158141i
\(688\) −29.8484 6.57012i −1.13796 0.250484i
\(689\) 13.9946 12.3289i 0.533150 0.469693i
\(690\) 0.229125 + 1.39760i 0.00872263 + 0.0532057i
\(691\) −19.4414 0.702340i −0.739586 0.0267183i −0.336253 0.941772i \(-0.609160\pi\)
−0.403333 + 0.915053i \(0.632148\pi\)
\(692\) −14.3803 1.56395i −0.546657 0.0594525i
\(693\) 16.2592 4.19969i 0.617635 0.159533i
\(694\) 3.09736 + 4.23094i 0.117574 + 0.160604i
\(695\) 16.1552 6.10121i 0.612802 0.231432i
\(696\) 0.461030 + 0.233859i 0.0174753 + 0.00886441i
\(697\) −40.4485 −1.53210
\(698\) 3.68108 2.04123i 0.139331 0.0772618i
\(699\) 14.8074 0.560068
\(700\) 19.4283 + 9.85505i 0.734319 + 0.372486i
\(701\) −9.21269 + 3.47928i −0.347958 + 0.131411i −0.521122 0.853482i \(-0.674486\pi\)
0.173163 + 0.984893i \(0.444601\pi\)
\(702\) −4.23001 5.77812i −0.159651 0.218081i
\(703\) −5.53335 + 1.42925i −0.208694 + 0.0539050i
\(704\) −29.8131 3.24237i −1.12362 0.122201i
\(705\) −10.3842 0.375138i −0.391090 0.0141285i
\(706\) −0.600506 3.66292i −0.0226003 0.137856i
\(707\) 28.9286 25.4854i 1.08797 0.958479i
\(708\) 4.79371 + 1.05518i 0.180159 + 0.0396560i
\(709\) 25.1548 + 11.6379i 0.944709 + 0.437069i 0.830893 0.556433i \(-0.187830\pi\)
0.113817 + 0.993502i \(0.463692\pi\)
\(710\) −1.17738 0.767628i −0.0441864 0.0288086i
\(711\) 0.125093 + 6.92763i 0.00469135 + 0.259806i
\(712\) 2.61661 + 1.44835i 0.0980615 + 0.0542793i
\(713\) −14.1981 + 10.0055i −0.531725 + 0.374707i
\(714\) −1.31155 + 4.13798i −0.0490835 + 0.154860i
\(715\) −3.21503 + 19.6108i −0.120235 + 0.733402i
\(716\) 29.3199 7.57324i 1.09574 0.283025i
\(717\) 8.81261 + 2.61907i 0.329113 + 0.0978109i
\(718\) 1.54501 + 1.26505i 0.0576594 + 0.0472111i
\(719\) −30.0233 + 10.1160i −1.11968 + 0.377265i −0.817467 0.575975i \(-0.804622\pi\)
−0.302215 + 0.953240i \(0.597726\pi\)
\(720\) −2.68257 3.39966i −0.0999734 0.126698i
\(721\) 0.366637 + 20.3043i 0.0136543 + 0.756171i
\(722\) 0.117082 + 0.202793i 0.00435736 + 0.00754717i
\(723\) 11.6754 6.46261i 0.434214 0.240347i
\(724\) −8.85255 + 18.2619i −0.329003 + 0.678697i
\(725\) −0.973775 + 1.83674i −0.0361651 + 0.0682146i
\(726\) −1.30353 1.92256i −0.0483784 0.0713527i
\(727\) −30.8651 + 20.1234i −1.14472 + 0.746334i −0.971146 0.238486i \(-0.923349\pi\)
−0.173578 + 0.984820i \(0.555533\pi\)
\(728\) −12.9292 + 1.88061i −0.479188 + 0.0696999i
\(729\) −13.2889 19.5997i −0.492181 0.725913i
\(730\) 0.368968 0.375690i 0.0136561 0.0139049i
\(731\) 50.8485 + 3.67871i 1.88070 + 0.136062i
\(732\) −14.5141 + 19.8259i −0.536455 + 0.732788i
\(733\) 7.17292 1.57888i 0.264938 0.0583172i −0.0805148 0.996753i \(-0.525656\pi\)
0.345453 + 0.938436i \(0.387725\pi\)
\(734\) 1.80575 + 0.397475i 0.0666514 + 0.0146711i
\(735\) 0.420863 0.253225i 0.0155238 0.00934034i
\(736\) 12.4264 + 11.7709i 0.458044 + 0.433882i
\(737\) −8.47922 21.2812i −0.312336 0.783904i
\(738\) 0.891976 + 2.02304i 0.0328341 + 0.0744691i
\(739\) 2.35881 + 14.3881i 0.0867702 + 0.529275i 0.994066 + 0.108781i \(0.0346948\pi\)
−0.907296 + 0.420494i \(0.861857\pi\)
\(740\) 1.92705 + 0.280297i 0.0708398 + 0.0103039i
\(741\) 2.85258 + 31.5126i 0.104792 + 1.15765i
\(742\) 0.366360 + 1.82033i 0.0134495 + 0.0668265i
\(743\) 3.28215 4.84082i 0.120411 0.177592i −0.762707 0.646744i \(-0.776130\pi\)
0.883117 + 0.469152i \(0.155440\pi\)
\(744\) 1.26188 2.60313i 0.0462629 0.0954354i
\(745\) −2.67165 2.03094i −0.0978818 0.0744078i
\(746\) 0.0838079 + 1.54575i 0.00306842 + 0.0565938i
\(747\) −18.0618 1.30671i −0.660848 0.0478100i
\(748\) 52.9360 1.91236i 1.93553 0.0699229i
\(749\) −4.97582 24.7234i −0.181813 0.903373i
\(750\) 1.61569 1.22821i 0.0589966 0.0448480i
\(751\) −25.0735 29.5188i −0.914944 1.07715i −0.996754 0.0805071i \(-0.974346\pi\)
0.0818103 0.996648i \(-0.473930\pi\)
\(752\) −32.7349 + 23.0684i −1.19372 + 0.841216i
\(753\) 12.9584 + 2.36542i 0.472231 + 0.0862007i
\(754\) −0.0775695 0.610480i −0.00282492 0.0222324i
\(755\) 11.1828 0.809032i 0.406982 0.0294437i
\(756\) −27.2142 + 2.95973i −0.989772 + 0.107644i
\(757\) 1.69050 0.638438i 0.0614423 0.0232044i −0.322394 0.946605i \(-0.604488\pi\)
0.383837 + 0.923401i \(0.374603\pi\)
\(758\) 6.31346 + 2.12725i 0.229315 + 0.0772653i
\(759\) 1.91581 35.3351i 0.0695396 1.28258i
\(760\) −0.392900 3.09216i −0.0142520 0.112164i
\(761\) −30.4209 + 24.9084i −1.10275 + 0.902927i −0.995820 0.0913390i \(-0.970885\pi\)
−0.106935 + 0.994266i \(0.534104\pi\)
\(762\) −3.31719 + 1.11769i −0.120169 + 0.0404897i
\(763\) 8.95619 + 32.2573i 0.324236 + 1.16779i
\(764\) 35.4934 + 21.3557i 1.28411 + 0.772621i
\(765\) 5.24441 + 4.96777i 0.189612 + 0.179610i
\(766\) −3.22054 + 1.63363i −0.116363 + 0.0590254i
\(767\) −4.38186 10.9976i −0.158220 0.397102i
\(768\) 14.3552 + 3.70791i 0.518000 + 0.133798i
\(769\) −28.6430 10.8174i −1.03289 0.390085i −0.221857 0.975079i \(-0.571212\pi\)
−0.811038 + 0.584994i \(0.801097\pi\)
\(770\) −1.53080 1.25341i −0.0551663 0.0451697i
\(771\) 6.45773 10.3069i 0.232569 0.371194i
\(772\) −50.9712 + 3.68758i −1.83450 + 0.132719i
\(773\) 3.53416 4.16074i 0.127115 0.149651i −0.694923 0.719084i \(-0.744561\pi\)
0.822038 + 0.569433i \(0.192837\pi\)
\(774\) −0.937327 2.62432i −0.0336915 0.0943293i
\(775\) 10.3751 + 5.26279i 0.372684 + 0.189045i
\(776\) −1.17722 + 13.0048i −0.0422597 + 0.466846i
\(777\) 2.58134 3.03899i 0.0926052 0.109023i
\(778\) −0.120301 + 2.21881i −0.00431299 + 0.0795483i
\(779\) 3.70001 29.1195i 0.132567 1.04331i
\(780\) 3.25755 10.2777i 0.116639 0.368001i
\(781\) 24.6075 + 25.0558i 0.880525 + 0.896569i
\(782\) −7.44245 5.24471i −0.266142 0.187550i
\(783\) −0.235510 2.60170i −0.00841645 0.0929772i
\(784\) 0.700659 1.75852i 0.0250235 0.0628043i
\(785\) −9.55024 + 13.0454i −0.340863 + 0.465612i
\(786\) −0.952955 + 3.43223i −0.0339908 + 0.122424i
\(787\) −18.8685 + 23.9124i −0.672591 + 0.852386i −0.995570 0.0940202i \(-0.970028\pi\)
0.322979 + 0.946406i \(0.395316\pi\)
\(788\) −0.316465 + 0.175170i −0.0112736 + 0.00624018i
\(789\) −0.0748313 + 4.14415i −0.00266407 + 0.147536i
\(790\) 0.649872 0.494020i 0.0231214 0.0175764i
\(791\) −2.81390 1.98296i −0.100051 0.0705059i
\(792\) −2.55889 5.27871i −0.0909261 0.187571i
\(793\) 59.2223 + 2.13946i 2.10304 + 0.0759745i
\(794\) 3.44056 7.80333i 0.122101 0.276930i
\(795\) −3.00581 0.776391i −0.106605 0.0275357i
\(796\) −20.2735 12.1981i −0.718574 0.432352i
\(797\) 8.93740 2.65616i 0.316579 0.0940859i −0.122680 0.992446i \(-0.539149\pi\)
0.439259 + 0.898360i \(0.355241\pi\)
\(798\) −2.85902 1.32272i −0.101208 0.0468239i
\(799\) 48.4971 45.9389i 1.71571 1.62520i
\(800\) 3.06696 11.0462i 0.108434 0.390542i
\(801\) −0.272311 5.02249i −0.00962165 0.177461i
\(802\) 6.49104 1.18487i 0.229207 0.0418392i
\(803\) −11.0215 + 7.18580i −0.388942 + 0.253581i
\(804\) 2.89048 + 12.0878i 0.101939 + 0.426303i
\(805\) −3.03680 12.6997i −0.107033 0.447604i
\(806\) −3.40785 + 0.495686i −0.120036 + 0.0174598i
\(807\) 0.158478 + 0.500002i 0.00557867 + 0.0176009i
\(808\) −10.7217 8.15043i −0.377188 0.286731i
\(809\) −13.1217 + 16.6293i −0.461334 + 0.584657i −0.959246 0.282571i \(-0.908813\pi\)
0.497912 + 0.867227i \(0.334100\pi\)
\(810\) −0.134680 + 0.377075i −0.00473216 + 0.0132491i
\(811\) 16.6359 + 10.8463i 0.584167 + 0.380864i 0.803960 0.594683i \(-0.202722\pi\)
−0.219794 + 0.975546i \(0.570538\pi\)
\(812\) −2.16932 0.910057i −0.0761284 0.0319367i
\(813\) −0.605355 2.18029i −0.0212307 0.0764661i
\(814\) 1.18546 + 0.447705i 0.0415505 + 0.0156921i
\(815\) 3.15351 + 3.45186i 0.110463 + 0.120913i
\(816\) −27.8065 3.02414i −0.973422 0.105866i
\(817\) −7.29970 + 36.2701i −0.255384 + 1.26893i
\(818\) 2.82327 + 2.87471i 0.0987135 + 0.100512i
\(819\) 14.2254 + 16.7474i 0.497075 + 0.585201i
\(820\) −5.00101 + 8.66199i −0.174643 + 0.302490i
\(821\) −15.4745 26.8026i −0.540064 0.935417i −0.998900 0.0468966i \(-0.985067\pi\)
0.458836 0.888521i \(-0.348266\pi\)
\(822\) −1.93383 + 5.41432i −0.0674501 + 0.188846i
\(823\) −4.84171 + 4.58631i −0.168771 + 0.159869i −0.767424 0.641140i \(-0.778462\pi\)
0.598652 + 0.801009i \(0.295703\pi\)
\(824\) 6.92821 1.52501i 0.241355 0.0531264i
\(825\) −21.5106 + 9.95186i −0.748903 + 0.346479i
\(826\) 1.16634 + 0.169649i 0.0405822 + 0.00590284i
\(827\) 15.7841 + 32.5609i 0.548866 + 1.13225i 0.973880 + 0.227065i \(0.0729129\pi\)
−0.425014 + 0.905187i \(0.639731\pi\)
\(828\) 3.77034 18.7337i 0.131028 0.651041i
\(829\) −1.75745 + 10.7200i −0.0610387 + 0.372320i 0.938589 + 0.345037i \(0.112134\pi\)
−0.999628 + 0.0272827i \(0.991315\pi\)
\(830\) 1.13279 + 1.80800i 0.0393197 + 0.0627565i
\(831\) −21.8320 7.35607i −0.757345 0.255179i
\(832\) −13.1990 36.9544i −0.457592 1.28116i
\(833\) −0.734360 + 3.07104i −0.0254441 + 0.106405i
\(834\) −6.09671 −0.211112
\(835\) −2.58383 + 10.8054i −0.0894170 + 0.373935i
\(836\) −3.46556 + 38.2843i −0.119859 + 1.32409i
\(837\) −14.5329 + 1.58055i −0.502332 + 0.0546319i
\(838\) 0.187629 + 0.165297i 0.00648154 + 0.00571009i
\(839\) −22.0801 6.56211i −0.762289 0.226549i −0.119752 0.992804i \(-0.538210\pi\)
−0.642537 + 0.766255i \(0.722118\pi\)
\(840\) 1.46683 + 1.60560i 0.0506103 + 0.0553985i
\(841\) −11.6091 + 26.3298i −0.400312 + 0.907925i
\(842\) −1.83256 4.15632i −0.0631542 0.143236i
\(843\) −18.8541 + 20.6379i −0.649370 + 0.710807i
\(844\) −12.1801 + 7.32852i −0.419256 + 0.252258i
\(845\) −15.1745 + 4.50981i −0.522020 + 0.155142i
\(846\) −3.36711 1.41254i −0.115764 0.0485642i
\(847\) 13.2661 + 16.8123i 0.455827 + 0.577678i
\(848\) −11.0330 + 4.62849i −0.378876 + 0.158943i
\(849\) −20.0478 3.65952i −0.688040 0.125594i
\(850\) −0.768666 + 6.04948i −0.0263650 + 0.207496i
\(851\) 4.44039 + 7.08712i 0.152215 + 0.242943i
\(852\) −11.2548 15.3738i −0.385582 0.526698i
\(853\) −3.30495 2.91158i −0.113159 0.0996907i 0.602579 0.798059i \(-0.294140\pi\)
−0.715739 + 0.698368i \(0.753910\pi\)
\(854\) −3.13250 + 4.99964i −0.107192 + 0.171084i
\(855\) −4.05610 + 3.32110i −0.138716 + 0.113579i
\(856\) −8.12390 + 3.40807i −0.277669 + 0.116486i
\(857\) 27.3631 + 15.1461i 0.934706 + 0.517381i 0.876754 0.480938i \(-0.159704\pi\)
0.0579517 + 0.998319i \(0.481543\pi\)
\(858\) 3.50796 6.07597i 0.119760 0.207430i
\(859\) −0.184994 + 10.2450i −0.00631193 + 0.349554i 0.981287 + 0.192553i \(0.0616768\pi\)
−0.987598 + 0.157001i \(0.949817\pi\)
\(860\) 7.07464 10.4343i 0.241243 0.355807i
\(861\) 9.59302 + 18.0943i 0.326929 + 0.616654i
\(862\) 0.954883 0.972281i 0.0325235 0.0331160i
\(863\) 7.05493 1.28780i 0.240153 0.0438373i −0.0581528 0.998308i \(-0.518521\pi\)
0.298306 + 0.954470i \(0.403579\pi\)
\(864\) 4.35254 + 13.7324i 0.148076 + 0.467186i
\(865\) 2.72010 5.13065i 0.0924862 0.174447i
\(866\) 2.42045 + 4.56545i 0.0822502 + 0.155140i
\(867\) 25.7952 0.931878i 0.876052 0.0316482i
\(868\) −4.87268 + 12.2295i −0.165390 + 0.415096i
\(869\) −18.5118 + 8.56446i −0.627969 + 0.290529i
\(870\) −0.0768607 + 0.0677125i −0.00260582 + 0.00229567i
\(871\) 20.2180 22.1308i 0.685060 0.749874i
\(872\) 10.4296 5.29047i 0.353192 0.179158i
\(873\) 19.5856 9.93488i 0.662873 0.336245i
\(874\) 4.45654 4.87817i 0.150745 0.165007i
\(875\) −14.0405 + 12.3694i −0.474656 + 0.418161i
\(876\) 6.47847 2.99726i 0.218887 0.101268i
\(877\) −4.60757 + 11.5641i −0.155587 + 0.390493i −0.986020 0.166624i \(-0.946713\pi\)
0.830434 + 0.557117i \(0.188093\pi\)
\(878\) 6.34431 0.229194i 0.214110 0.00773494i
\(879\) −6.98344 13.1722i −0.235545 0.444286i
\(880\) 5.97146 11.2634i 0.201298 0.379688i
\(881\) 3.11625 + 9.83188i 0.104989 + 0.331244i 0.991260 0.131923i \(-0.0421152\pi\)
−0.886271 + 0.463167i \(0.846713\pi\)
\(882\) 0.169793 0.0309938i 0.00571722 0.00104362i
\(883\) 35.4881 36.1347i 1.19427 1.21603i 0.223844 0.974625i \(-0.428139\pi\)
0.970425 0.241404i \(-0.0776079\pi\)
\(884\) 32.4665 + 61.2383i 1.09197 + 2.05967i
\(885\) −1.10584 + 1.63099i −0.0371725 + 0.0548253i
\(886\) −0.0290036 + 1.60621i −0.000974394 + 0.0539618i
\(887\) −0.0133911 + 0.0231941i −0.000449629 + 0.000778781i −0.866250 0.499611i \(-0.833476\pi\)
0.865801 + 0.500389i \(0.166810\pi\)
\(888\) −1.21866 0.674556i −0.0408956 0.0226366i
\(889\) 29.7608 12.4850i 0.998145 0.418733i
\(890\) −0.458513 + 0.375427i −0.0153694 + 0.0125843i
\(891\) 5.31185 8.47801i 0.177954 0.284024i
\(892\) −26.7445 23.5613i −0.895471 0.788890i
\(893\) 28.6358 + 39.1160i 0.958261 + 1.30897i
\(894\) 0.629060 + 1.00402i 0.0210389 + 0.0335793i
\(895\) −1.53239 + 12.0600i −0.0512221 + 0.403123i
\(896\) 16.9374 + 3.09175i 0.565840 + 0.103288i
\(897\) 42.6990 17.9128i 1.42568 0.598089i
\(898\) 5.60551 + 7.10396i 0.187058 + 0.237062i
\(899\) −1.15846 0.485989i −0.0386369 0.0162086i
\(900\) −12.2685 + 3.64616i −0.408951 + 0.121539i
\(901\) 17.1010 10.2894i 0.569718 0.342788i
\(902\) −4.38994 + 4.80527i −0.146169 + 0.159998i
\(903\) −10.4139 23.6192i −0.346553 0.785998i
\(904\) −0.485146 + 1.10033i −0.0161357 + 0.0365965i
\(905\) −5.49522 6.01512i −0.182667 0.199949i
\(906\) −3.79432 1.12766i −0.126058 0.0374639i
\(907\) 30.4276 + 26.8061i 1.01033 + 0.890081i 0.993955 0.109785i \(-0.0350163\pi\)
0.0163781 + 0.999866i \(0.494786\pi\)
\(908\) −7.72277 + 0.839902i −0.256289 + 0.0278731i
\(909\) −2.04203 + 22.5585i −0.0677299 + 0.748217i
\(910\) 0.602085 2.51787i 0.0199589 0.0834667i
\(911\) −25.0611 −0.830310 −0.415155 0.909751i \(-0.636273\pi\)
−0.415155 + 0.909751i \(0.636273\pi\)
\(912\) 4.72071 19.7417i 0.156318 0.653712i
\(913\) −17.9312 50.2035i −0.593435 1.66149i
\(914\) −0.763454 0.257238i −0.0252528 0.00850866i
\(915\) −5.23726 8.35897i −0.173139 0.276339i
\(916\) 2.53882 15.4861i 0.0838849 0.511675i
\(917\) 6.47981 32.1963i 0.213982 1.06321i
\(918\) −3.34259 6.89541i −0.110322 0.227582i
\(919\) −11.6024 1.68761i −0.382727 0.0556692i −0.0501413 0.998742i \(-0.515967\pi\)
−0.332586 + 0.943073i \(0.607921\pi\)
\(920\) −4.13986 + 1.91530i −0.136487 + 0.0631457i
\(921\) 17.9791 3.95751i 0.592433 0.130404i
\(922\) −0.897741 + 0.850385i −0.0295655 + 0.0280059i
\(923\) −15.4567 + 43.2756i −0.508765 + 1.42444i
\(924\) −13.4101 23.2270i −0.441160 0.764111i
\(925\) 2.80074 4.85102i 0.0920877 0.159501i
\(926\) 0.427808 + 0.503655i 0.0140587 + 0.0165511i
\(927\) −8.35998 8.51230i −0.274578 0.279581i
\(928\) −0.244256 + 1.21364i −0.00801810 + 0.0398396i
\(929\) 42.5537 + 4.62799i 1.39614 + 0.151839i 0.775050 0.631900i \(-0.217725\pi\)
0.621090 + 0.783739i \(0.286690\pi\)
\(930\) 0.386622 + 0.423201i 0.0126778 + 0.0138773i
\(931\) −2.14371 0.809598i −0.0702573 0.0265335i
\(932\) 6.29741 + 22.6812i 0.206278 + 0.742948i
\(933\) −27.3040 11.4543i −0.893892 0.374998i
\(934\) 6.08306 + 3.96602i 0.199044 + 0.129772i
\(935\) −7.15279 + 20.0263i −0.233921 + 0.654931i
\(936\) 4.75490 6.02597i 0.155419 0.196965i
\(937\) −28.7607 21.8633i −0.939571 0.714243i 0.0187837 0.999824i \(-0.494021\pi\)
−0.958355 + 0.285580i \(0.907814\pi\)
\(938\) 0.901686 + 2.84485i 0.0294411 + 0.0928876i
\(939\) 39.6885 5.77285i 1.29519 0.188390i
\(940\) −3.84163 16.0654i −0.125300 0.523997i
\(941\) −5.49123 22.9639i −0.179009 0.748602i −0.987174 0.159646i \(-0.948965\pi\)
0.808165 0.588956i \(-0.200461\pi\)
\(942\) 4.78142 3.11738i 0.155787 0.101570i
\(943\) −42.2578 + 7.71370i −1.37610 + 0.251193i
\(944\) 0.411155 + 7.58330i 0.0133819 + 0.246816i
\(945\) 2.94008 10.5892i 0.0956406 0.344466i
\(946\) 5.95570 5.64154i 0.193637 0.183422i
\(947\) −32.7328 15.1438i −1.06367 0.492107i −0.191594 0.981474i \(-0.561366\pi\)
−0.872078 + 0.489367i \(0.837228\pi\)
\(948\) 10.6075 3.15251i 0.344517 0.102389i
\(949\) −14.7518 8.87589i −0.478865 0.288124i
\(950\) −4.28479 1.10675i −0.139017 0.0359076i
\(951\) 9.90824 22.4723i 0.321297 0.728715i
\(952\) −13.9718 0.504746i −0.452830 0.0163589i
\(953\) −9.10540 18.7835i −0.294953 0.608456i 0.699382 0.714748i \(-0.253459\pi\)
−0.994335 + 0.106292i \(0.966102\pi\)
\(954\) −0.891739 0.628410i −0.0288711 0.0203455i
\(955\) −13.2386 + 10.0637i −0.428391 + 0.325654i
\(956\) −0.263860 + 14.6125i −0.00853384 + 0.472603i
\(957\) 2.23927 1.23948i 0.0723852 0.0400669i
\(958\) 5.25371 6.65811i 0.169740 0.215114i
\(959\) 14.1811 51.0758i 0.457933 1.64932i
\(960\) −3.85831 + 5.27038i −0.124527 + 0.170101i
\(961\) 8.87218 22.2675i 0.286199 0.718306i
\(962\) 0.149485 + 1.65138i 0.00481960 + 0.0532425i
\(963\) 12.1114 + 8.53493i 0.390285 + 0.275034i
\(964\) 14.8645 + 15.1353i 0.478753 + 0.487476i
\(965\) 6.19879 19.5574i 0.199546 0.629575i
\(966\) −0.581085 + 4.57319i −0.0186961 + 0.147140i
\(967\) −0.757439 + 13.9701i −0.0243576 + 0.449249i 0.960761 + 0.277376i \(0.0894647\pi\)
−0.985119 + 0.171873i \(0.945018\pi\)
\(968\) 4.84325 5.70191i 0.155668 0.183266i
\(969\) −3.05250 + 33.7212i −0.0980605 + 1.08328i
\(970\) −2.30752 1.17050i −0.0740902 0.0375825i
\(971\) −3.85373 10.7896i −0.123672 0.346256i 0.863847 0.503754i \(-0.168048\pi\)
−0.987519 + 0.157498i \(0.949657\pi\)
\(972\) 17.3586 20.4361i 0.556778 0.655489i
\(973\) 56.0644 4.05605i 1.79734 0.130031i
\(974\) 3.28328 5.24030i 0.105203 0.167910i
\(975\) −23.9957 19.6475i −0.768478 0.629223i
\(976\) −35.5645 13.4314i −1.13839 0.429928i
\(977\) −20.1141 5.19541i −0.643508 0.166216i −0.0858783 0.996306i \(-0.527370\pi\)
−0.557630 + 0.830090i \(0.688289\pi\)
\(978\) −0.610969 1.53342i −0.0195366 0.0490332i
\(979\) 13.2052 6.69840i 0.422041 0.214082i
\(980\) 0.566864 + 0.536962i 0.0181078 + 0.0171526i
\(981\) −16.8531 10.1402i −0.538078 0.323751i
\(982\) −1.70874 6.15432i −0.0545280 0.196392i
\(983\) −29.6792 + 10.0001i −0.946621 + 0.318954i −0.749934 0.661513i \(-0.769915\pi\)
−0.196687 + 0.980466i \(0.563018\pi\)
\(984\) 5.53546 4.53239i 0.176464 0.144487i
\(985\) −0.0183038 0.144053i −0.000583209 0.00458991i
\(986\) 0.0356515 0.657553i 0.00113537 0.0209408i
\(987\) −32.0523 10.7997i −1.02024 0.343758i
\(988\) −47.0562 + 17.7713i −1.49706 + 0.565382i
\(989\) 53.8246 5.85378i 1.71152 0.186139i
\(990\) 1.15935 0.0838751i 0.0368467 0.00266572i
\(991\) −0.353808 2.78450i −0.0112391 0.0884527i 0.985418 0.170151i \(-0.0544255\pi\)
−0.996657 + 0.0816980i \(0.973966\pi\)
\(992\) 6.81508 + 1.24402i 0.216379 + 0.0394976i
\(993\) 16.0276 11.2947i 0.508620 0.358425i
\(994\) −2.96180 3.48691i −0.0939427 0.110598i
\(995\) 7.56176 5.74830i 0.239724 0.182233i
\(996\) 5.70649 + 28.3539i 0.180817 + 0.898426i
\(997\) −1.54861 + 0.0559449i −0.0490449 + 0.00177179i −0.0606140 0.998161i \(-0.519306\pi\)
0.0115691 + 0.999933i \(0.496317\pi\)
\(998\) −4.24031 0.306771i −0.134225 0.00971066i
\(999\) 0.381072 + 7.02847i 0.0120566 + 0.222371i
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 349.2.i.a.9.16 1568
349.194 even 87 inner 349.2.i.a.194.16 yes 1568
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
349.2.i.a.9.16 1568 1.1 even 1 trivial
349.2.i.a.194.16 yes 1568 349.194 even 87 inner