Properties

Label 950.2.bi.a.3.17
Level $950$
Weight $2$
Character 950.3
Analytic conductor $7.586$
Analytic rank $0$
Dimension $2400$
CM no
Inner twists $4$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [950,2,Mod(3,950)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(950, base_ring=CyclotomicField(180))
 
chi = DirichletCharacter(H, H._module([63, 130]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("950.3");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 950 = 2 \cdot 5^{2} \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 950.bi (of order \(180\), degree \(48\), 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: \(7.58578819202\)
Analytic rank: \(0\)
Dimension: \(2400\)
Relative dimension: \(50\) over \(\Q(\zeta_{180})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{180}]$

Embedding invariants

Embedding label 3.17
Character \(\chi\) \(=\) 950.3
Dual form 950.2.bi.a.317.17

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.974370 - 0.224951i) q^{2} +(1.03787 - 0.575301i) q^{3} +(0.898794 + 0.438371i) q^{4} +(0.253929 + 2.22160i) q^{5} +(-1.14069 + 0.327086i) q^{6} +(4.09315 + 1.09676i) q^{7} +(-0.777146 - 0.629320i) q^{8} +(-0.843553 + 1.34997i) q^{9} +O(q^{10})\) \(q+(-0.974370 - 0.224951i) q^{2} +(1.03787 - 0.575301i) q^{3} +(0.898794 + 0.438371i) q^{4} +(0.253929 + 2.22160i) q^{5} +(-1.14069 + 0.327086i) q^{6} +(4.09315 + 1.09676i) q^{7} +(-0.777146 - 0.629320i) q^{8} +(-0.843553 + 1.34997i) q^{9} +(0.252331 - 2.22179i) q^{10} +(-0.608607 - 0.675927i) q^{11} +(1.18503 - 0.0621047i) q^{12} +(-1.92694 - 2.06639i) q^{13} +(-3.74153 - 1.98940i) q^{14} +(1.54164 + 2.15965i) q^{15} +(0.615661 + 0.788011i) q^{16} +(4.11289 - 3.57528i) q^{17} +(1.12561 - 1.12561i) q^{18} +(3.93032 + 1.88484i) q^{19} +(-0.745657 + 2.10808i) q^{20} +(4.87913 - 1.21650i) q^{21} +(0.440958 + 0.795510i) q^{22} +(2.65217 + 3.51955i) q^{23} +(-1.16863 - 0.206060i) q^{24} +(-4.87104 + 1.12826i) q^{25} +(1.41272 + 2.44690i) q^{26} +(-0.285176 + 5.44147i) q^{27} +(3.19811 + 2.78008i) q^{28} +(-1.98119 + 0.138538i) q^{29} +(-1.01631 - 2.45109i) q^{30} +(1.16096 - 2.60756i) q^{31} +(-0.422618 - 0.906308i) q^{32} +(-1.02052 - 0.351392i) q^{33} +(-4.81174 + 2.55845i) q^{34} +(-1.39719 + 9.37185i) q^{35} +(-1.34997 + 0.843553i) q^{36} +(1.38038 - 2.70914i) q^{37} +(-3.40559 - 2.72066i) q^{38} +(-3.18871 - 1.03608i) q^{39} +(1.20076 - 1.88631i) q^{40} +(-6.56054 + 5.12566i) q^{41} +(-5.02773 + 0.0877594i) q^{42} +(0.503099 - 0.352274i) q^{43} +(-0.250706 - 0.874315i) q^{44} +(-3.21329 - 1.53124i) q^{45} +(-1.79247 - 4.02596i) q^{46} +(-4.59006 + 5.28026i) q^{47} +(1.09232 + 0.463663i) q^{48} +(9.48882 + 5.47837i) q^{49} +(5.00000 - 0.00359539i) q^{50} +(2.21179 - 6.07684i) q^{51} +(-0.826077 - 2.70198i) q^{52} +(2.60705 + 7.57142i) q^{53} +(1.50193 - 5.23786i) q^{54} +(1.34710 - 1.52372i) q^{55} +(-2.49076 - 3.42824i) q^{56} +(5.16351 - 0.304901i) q^{57} +(1.96158 + 0.310683i) q^{58} +(-0.516378 + 1.27808i) q^{59} +(0.438885 + 2.61689i) q^{60} +(8.96838 + 1.26042i) q^{61} +(-1.71778 + 2.27957i) q^{62} +(-4.93337 + 4.60044i) q^{63} +(0.207912 + 0.978148i) q^{64} +(4.10140 - 4.80561i) q^{65} +(0.915316 + 0.571953i) q^{66} +(-2.24354 + 1.34805i) q^{67} +(5.26394 - 1.41047i) q^{68} +(4.77742 + 2.12704i) q^{69} +(3.46959 - 8.81735i) q^{70} +(-8.33710 - 8.63332i) q^{71} +(1.50513 - 0.518256i) q^{72} +(3.75567 - 4.02746i) q^{73} +(-1.95442 + 2.32919i) q^{74} +(-4.40642 + 3.97330i) q^{75} +(2.70629 + 3.41702i) q^{76} +(-1.74979 - 3.43416i) q^{77} +(2.87392 + 1.72683i) q^{78} +(8.32514 + 2.38720i) q^{79} +(-1.59431 + 1.56785i) q^{80} +(0.741047 + 1.51937i) q^{81} +(7.54542 - 3.51849i) q^{82} +(3.62991 + 9.45623i) q^{83} +(4.91861 + 1.04548i) q^{84} +(8.98724 + 8.22935i) q^{85} +(-0.569449 + 0.230072i) q^{86} +(-1.97652 + 1.28357i) q^{87} +(0.0476021 + 0.908303i) q^{88} +(9.51749 - 12.1818i) q^{89} +(2.78648 + 2.21483i) q^{90} +(-5.62093 - 10.5714i) q^{91} +(0.840887 + 4.32599i) q^{92} +(-0.295205 - 3.37421i) q^{93} +(5.66021 - 4.11239i) q^{94} +(-3.18934 + 9.21022i) q^{95} +(-0.960024 - 0.697498i) q^{96} +(-0.187921 + 0.312754i) q^{97} +(-8.01326 - 7.47248i) q^{98} +(1.42587 - 0.251420i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 2400 q + 12 q^{7}+O(q^{10}) \) Copy content Toggle raw display \( 2400 q + 12 q^{7} + 36 q^{15} - 36 q^{17} + 96 q^{22} + 120 q^{23} + 24 q^{25} - 120 q^{29} - 24 q^{33} - 36 q^{35} - 168 q^{43} + 36 q^{45} - 96 q^{47} + 144 q^{50} - 36 q^{53} + 72 q^{55} + 156 q^{57} - 120 q^{59} + 24 q^{60} + 24 q^{62} - 36 q^{63} - 720 q^{65} + 96 q^{67} + 12 q^{68} + 48 q^{70} + 36 q^{73} - 96 q^{78} - 48 q^{82} - 84 q^{83} - 540 q^{84} - 288 q^{85} - 192 q^{87} - 168 q^{90} - 72 q^{92} - 156 q^{93} - 24 q^{95} - 120 q^{97} - 24 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/950\mathbb{Z}\right)^\times\).

\(n\) \(77\) \(401\)
\(\chi(n)\) \(e\left(\frac{7}{20}\right)\) \(e\left(\frac{13}{18}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.974370 0.224951i −0.688984 0.159064i
\(3\) 1.03787 0.575301i 0.599215 0.332150i −0.155869 0.987778i \(-0.549818\pi\)
0.755085 + 0.655627i \(0.227596\pi\)
\(4\) 0.898794 + 0.438371i 0.449397 + 0.219186i
\(5\) 0.253929 + 2.22160i 0.113560 + 0.993531i
\(6\) −1.14069 + 0.327086i −0.465683 + 0.133532i
\(7\) 4.09315 + 1.09676i 1.54707 + 0.414535i 0.928541 0.371231i \(-0.121064\pi\)
0.618524 + 0.785766i \(0.287731\pi\)
\(8\) −0.777146 0.629320i −0.274763 0.222498i
\(9\) −0.843553 + 1.34997i −0.281184 + 0.449989i
\(10\) 0.252331 2.22179i 0.0797942 0.702590i
\(11\) −0.608607 0.675927i −0.183502 0.203800i 0.644374 0.764710i \(-0.277118\pi\)
−0.827876 + 0.560911i \(0.810451\pi\)
\(12\) 1.18503 0.0621047i 0.342088 0.0179281i
\(13\) −1.92694 2.06639i −0.534437 0.573114i 0.405658 0.914025i \(-0.367042\pi\)
−0.940096 + 0.340911i \(0.889265\pi\)
\(14\) −3.74153 1.98940i −0.999965 0.531691i
\(15\) 1.54164 + 2.15965i 0.398049 + 0.557620i
\(16\) 0.615661 + 0.788011i 0.153915 + 0.197003i
\(17\) 4.11289 3.57528i 0.997523 0.867134i 0.00638632 0.999980i \(-0.497967\pi\)
0.991137 + 0.132846i \(0.0424116\pi\)
\(18\) 1.12561 1.12561i 0.265309 0.265309i
\(19\) 3.93032 + 1.88484i 0.901677 + 0.432411i
\(20\) −0.745657 + 2.10808i −0.166734 + 0.471381i
\(21\) 4.87913 1.21650i 1.06471 0.265463i
\(22\) 0.440958 + 0.795510i 0.0940126 + 0.169603i
\(23\) 2.65217 + 3.51955i 0.553016 + 0.733877i 0.985856 0.167593i \(-0.0535996\pi\)
−0.432840 + 0.901471i \(0.642488\pi\)
\(24\) −1.16863 0.206060i −0.238545 0.0420619i
\(25\) −4.87104 + 1.12826i −0.974208 + 0.225652i
\(26\) 1.41272 + 2.44690i 0.277057 + 0.479876i
\(27\) −0.285176 + 5.44147i −0.0548821 + 1.04721i
\(28\) 3.19811 + 2.78008i 0.604386 + 0.525385i
\(29\) −1.98119 + 0.138538i −0.367898 + 0.0257259i −0.252509 0.967594i \(-0.581256\pi\)
−0.115389 + 0.993320i \(0.536811\pi\)
\(30\) −1.01631 2.45109i −0.185552 0.447506i
\(31\) 1.16096 2.60756i 0.208514 0.468331i −0.778767 0.627313i \(-0.784155\pi\)
0.987281 + 0.158982i \(0.0508213\pi\)
\(32\) −0.422618 0.906308i −0.0747091 0.160214i
\(33\) −1.02052 0.351392i −0.177649 0.0611696i
\(34\) −4.81174 + 2.55845i −0.825207 + 0.438770i
\(35\) −1.39719 + 9.37185i −0.236168 + 1.58413i
\(36\) −1.34997 + 0.843553i −0.224994 + 0.140592i
\(37\) 1.38038 2.70914i 0.226933 0.445381i −0.749263 0.662273i \(-0.769592\pi\)
0.976196 + 0.216892i \(0.0695920\pi\)
\(38\) −3.40559 2.72066i −0.552459 0.441349i
\(39\) −3.18871 1.03608i −0.510603 0.165905i
\(40\) 1.20076 1.88631i 0.189857 0.298252i
\(41\) −6.56054 + 5.12566i −1.02458 + 0.800494i −0.980098 0.198516i \(-0.936388\pi\)
−0.0444874 + 0.999010i \(0.514165\pi\)
\(42\) −5.02773 + 0.0877594i −0.775796 + 0.0135416i
\(43\) 0.503099 0.352274i 0.0767219 0.0537212i −0.534586 0.845114i \(-0.679533\pi\)
0.611308 + 0.791393i \(0.290644\pi\)
\(44\) −0.250706 0.874315i −0.0377953 0.131808i
\(45\) −3.21329 1.53124i −0.479009 0.228264i
\(46\) −1.79247 4.02596i −0.264285 0.593595i
\(47\) −4.59006 + 5.28026i −0.669529 + 0.770205i −0.983827 0.179119i \(-0.942675\pi\)
0.314299 + 0.949324i \(0.398231\pi\)
\(48\) 1.09232 + 0.463663i 0.157663 + 0.0669240i
\(49\) 9.48882 + 5.47837i 1.35555 + 0.782625i
\(50\) 5.00000 0.00359539i 0.707107 0.000508465i
\(51\) 2.21179 6.07684i 0.309712 0.850927i
\(52\) −0.826077 2.70198i −0.114556 0.374697i
\(53\) 2.60705 + 7.57142i 0.358106 + 1.04001i 0.968735 + 0.248098i \(0.0798055\pi\)
−0.610629 + 0.791917i \(0.709083\pi\)
\(54\) 1.50193 5.23786i 0.204387 0.712782i
\(55\) 1.34710 1.52372i 0.181643 0.205458i
\(56\) −2.49076 3.42824i −0.332842 0.458118i
\(57\) 5.16351 0.304901i 0.683924 0.0403851i
\(58\) 1.96158 + 0.310683i 0.257568 + 0.0407947i
\(59\) −0.516378 + 1.27808i −0.0672267 + 0.166392i −0.957057 0.289900i \(-0.906378\pi\)
0.889830 + 0.456291i \(0.150823\pi\)
\(60\) 0.438885 + 2.61689i 0.0566598 + 0.337839i
\(61\) 8.96838 + 1.26042i 1.14828 + 0.161381i 0.687536 0.726150i \(-0.258692\pi\)
0.460748 + 0.887531i \(0.347581\pi\)
\(62\) −1.71778 + 2.27957i −0.218158 + 0.289505i
\(63\) −4.93337 + 4.60044i −0.621546 + 0.579601i
\(64\) 0.207912 + 0.978148i 0.0259890 + 0.122268i
\(65\) 4.10140 4.80561i 0.508715 0.596063i
\(66\) 0.915316 + 0.571953i 0.112668 + 0.0704025i
\(67\) −2.24354 + 1.34805i −0.274092 + 0.164691i −0.645458 0.763795i \(-0.723334\pi\)
0.371367 + 0.928486i \(0.378889\pi\)
\(68\) 5.26394 1.41047i 0.638347 0.171045i
\(69\) 4.77742 + 2.12704i 0.575133 + 0.256066i
\(70\) 3.46959 8.81735i 0.414695 1.05388i
\(71\) −8.33710 8.63332i −0.989432 1.02459i −0.999696 0.0246395i \(-0.992156\pi\)
0.0102644 0.999947i \(-0.496733\pi\)
\(72\) 1.50513 0.518256i 0.177381 0.0610771i
\(73\) 3.75567 4.02746i 0.439568 0.471379i −0.472552 0.881303i \(-0.656667\pi\)
0.912120 + 0.409924i \(0.134445\pi\)
\(74\) −1.95442 + 2.32919i −0.227197 + 0.270763i
\(75\) −4.40642 + 3.97330i −0.508810 + 0.458798i
\(76\) 2.70629 + 3.41702i 0.310433 + 0.391959i
\(77\) −1.74979 3.43416i −0.199407 0.391359i
\(78\) 2.87392 + 1.72683i 0.325408 + 0.195525i
\(79\) 8.32514 + 2.38720i 0.936652 + 0.268581i 0.709038 0.705171i \(-0.249130\pi\)
0.227614 + 0.973751i \(0.426907\pi\)
\(80\) −1.59431 + 1.56785i −0.178250 + 0.175291i
\(81\) 0.741047 + 1.51937i 0.0823385 + 0.168819i
\(82\) 7.54542 3.51849i 0.833252 0.388552i
\(83\) 3.62991 + 9.45623i 0.398434 + 1.03796i 0.975254 + 0.221085i \(0.0709600\pi\)
−0.576820 + 0.816871i \(0.695707\pi\)
\(84\) 4.91861 + 1.04548i 0.536664 + 0.114072i
\(85\) 8.98724 + 8.22935i 0.974803 + 0.892598i
\(86\) −0.569449 + 0.230072i −0.0614052 + 0.0248093i
\(87\) −1.97652 + 1.28357i −0.211905 + 0.137613i
\(88\) 0.0476021 + 0.908303i 0.00507440 + 0.0968254i
\(89\) 9.51749 12.1818i 1.00885 1.29127i 0.0526342 0.998614i \(-0.483238\pi\)
0.956217 0.292657i \(-0.0945395\pi\)
\(90\) 2.78648 + 2.21483i 0.293721 + 0.233464i
\(91\) −5.62093 10.5714i −0.589234 1.10819i
\(92\) 0.840887 + 4.32599i 0.0876685 + 0.451015i
\(93\) −0.295205 3.37421i −0.0306113 0.349889i
\(94\) 5.66021 4.11239i 0.583807 0.424160i
\(95\) −3.18934 + 9.21022i −0.327219 + 0.944949i
\(96\) −0.960024 0.697498i −0.0979820 0.0711881i
\(97\) −0.187921 + 0.312754i −0.0190805 + 0.0317553i −0.866561 0.499072i \(-0.833674\pi\)
0.847480 + 0.530827i \(0.178119\pi\)
\(98\) −8.01326 7.47248i −0.809461 0.754835i
\(99\) 1.42587 0.251420i 0.143305 0.0252686i
\(100\) −4.87266 1.12125i −0.487266 0.112125i
\(101\) −16.6278 6.05203i −1.65453 0.602200i −0.665041 0.746807i \(-0.731586\pi\)
−0.989489 + 0.144607i \(0.953808\pi\)
\(102\) −3.52209 + 5.42354i −0.348739 + 0.537011i
\(103\) 2.66232 6.93558i 0.262326 0.683383i −0.737640 0.675194i \(-0.764060\pi\)
0.999966 0.00818925i \(-0.00260675\pi\)
\(104\) 0.197092 + 2.81855i 0.0193265 + 0.276382i
\(105\) 3.94154 + 10.5306i 0.384655 + 1.02768i
\(106\) −0.837032 7.96383i −0.0812997 0.773515i
\(107\) 1.10958 4.14100i 0.107267 0.400325i −0.891326 0.453364i \(-0.850224\pi\)
0.998592 + 0.0530383i \(0.0168905\pi\)
\(108\) −2.64170 + 4.76575i −0.254198 + 0.458585i
\(109\) 11.8584 1.66659i 1.13583 0.159630i 0.453901 0.891052i \(-0.350032\pi\)
0.681925 + 0.731422i \(0.261143\pi\)
\(110\) −1.65533 + 1.18164i −0.157830 + 0.112665i
\(111\) −0.125920 3.60588i −0.0119518 0.342255i
\(112\) 1.65574 + 3.90068i 0.156453 + 0.368579i
\(113\) −9.89709 5.04282i −0.931039 0.474388i −0.0784199 0.996920i \(-0.524987\pi\)
−0.852620 + 0.522532i \(0.824987\pi\)
\(114\) −5.09976 0.864451i −0.477636 0.0809633i
\(115\) −7.14558 + 6.78579i −0.666329 + 0.632778i
\(116\) −1.84141 0.743980i −0.170971 0.0690768i
\(117\) 4.41504 0.858196i 0.408170 0.0793402i
\(118\) 0.790648 1.12916i 0.0727851 0.103948i
\(119\) 20.7559 10.1233i 1.90269 0.928004i
\(120\) 0.161036 2.64855i 0.0147005 0.241778i
\(121\) 1.06334 10.1170i 0.0966672 0.919727i
\(122\) −8.45499 3.24557i −0.765479 0.293840i
\(123\) −3.86020 + 9.09407i −0.348063 + 0.819984i
\(124\) 2.18654 1.83473i 0.196357 0.164763i
\(125\) −3.74344 10.5350i −0.334823 0.942281i
\(126\) 5.84180 3.37277i 0.520429 0.300470i
\(127\) −10.2456 + 1.25800i −0.909151 + 0.111630i −0.562912 0.826517i \(-0.690319\pi\)
−0.346239 + 0.938146i \(0.612541\pi\)
\(128\) 0.0174524 0.999848i 0.00154259 0.0883749i
\(129\) 0.319488 0.655048i 0.0281294 0.0576738i
\(130\) −5.07731 + 3.75983i −0.445309 + 0.329759i
\(131\) 6.69848 + 0.468403i 0.585249 + 0.0409246i 0.359312 0.933217i \(-0.383011\pi\)
0.225937 + 0.974142i \(0.427456\pi\)
\(132\) −0.763195 0.763195i −0.0664276 0.0664276i
\(133\) 14.0202 + 12.0255i 1.21570 + 1.04274i
\(134\) 2.48928 0.808816i 0.215041 0.0698711i
\(135\) −12.1612 + 0.748200i −1.04667 + 0.0643948i
\(136\) −5.44632 + 0.190190i −0.467018 + 0.0163086i
\(137\) −6.73415 + 22.0264i −0.575337 + 1.88184i −0.116832 + 0.993152i \(0.537274\pi\)
−0.458505 + 0.888692i \(0.651615\pi\)
\(138\) −4.17649 3.14721i −0.355527 0.267909i
\(139\) 7.25015 + 5.66444i 0.614950 + 0.480452i 0.874335 0.485322i \(-0.161298\pi\)
−0.259385 + 0.965774i \(0.583520\pi\)
\(140\) −5.36413 + 7.81088i −0.453352 + 0.660140i
\(141\) −1.72615 + 8.12090i −0.145368 + 0.683903i
\(142\) 6.18135 + 10.2875i 0.518727 + 0.863307i
\(143\) −0.223979 + 2.56009i −0.0187301 + 0.214086i
\(144\) −1.58313 + 0.166394i −0.131928 + 0.0138661i
\(145\) −0.810859 4.36624i −0.0673382 0.362597i
\(146\) −4.56539 + 3.07940i −0.377835 + 0.254853i
\(147\) 12.9999 + 0.226914i 1.07221 + 0.0187155i
\(148\) 2.42829 1.82985i 0.199604 0.150412i
\(149\) −4.75685 13.0693i −0.389696 1.07068i −0.967138 0.254251i \(-0.918171\pi\)
0.577442 0.816432i \(-0.304051\pi\)
\(150\) 5.18729 2.88024i 0.423540 0.235170i
\(151\) 11.8488i 0.964242i −0.876105 0.482121i \(-0.839867\pi\)
0.876105 0.482121i \(-0.160133\pi\)
\(152\) −1.86826 3.93822i −0.151536 0.319432i
\(153\) 1.35707 + 8.56821i 0.109713 + 0.692698i
\(154\) 0.932428 + 3.73976i 0.0751372 + 0.301359i
\(155\) 6.08776 + 1.91706i 0.488980 + 0.153982i
\(156\) −2.41181 2.32906i −0.193100 0.186474i
\(157\) 5.31006 + 7.58355i 0.423789 + 0.605233i 0.973100 0.230385i \(-0.0739985\pi\)
−0.549311 + 0.835618i \(0.685110\pi\)
\(158\) −7.57477 4.19876i −0.602616 0.334036i
\(159\) 7.06163 + 6.35832i 0.560024 + 0.504248i
\(160\) 1.90614 1.16903i 0.150694 0.0924198i
\(161\) 6.99565 + 17.3148i 0.551334 + 1.36460i
\(162\) −0.380270 1.64713i −0.0298768 0.129411i
\(163\) 1.60386 + 2.46973i 0.125624 + 0.193444i 0.895887 0.444283i \(-0.146541\pi\)
−0.770262 + 0.637727i \(0.779875\pi\)
\(164\) −8.14352 + 1.73096i −0.635902 + 0.135165i
\(165\) 0.521516 2.35641i 0.0405999 0.183447i
\(166\) −1.40968 10.0304i −0.109413 0.778512i
\(167\) −0.256932 14.7196i −0.0198820 1.13904i −0.831733 0.555175i \(-0.812651\pi\)
0.811851 0.583864i \(-0.198460\pi\)
\(168\) −4.55736 2.12513i −0.351608 0.163958i
\(169\) 0.349963 5.00470i 0.0269202 0.384977i
\(170\) −6.90570 10.0401i −0.529643 0.770042i
\(171\) −5.85989 + 3.71584i −0.448117 + 0.284157i
\(172\) 0.606609 0.0960774i 0.0462535 0.00732583i
\(173\) −4.90270 + 21.2359i −0.372746 + 1.61454i 0.359258 + 0.933238i \(0.383030\pi\)
−0.732004 + 0.681301i \(0.761415\pi\)
\(174\) 2.21460 0.806049i 0.167889 0.0611064i
\(175\) −21.1753 0.724214i −1.60070 0.0547454i
\(176\) 0.157942 0.895731i 0.0119053 0.0675183i
\(177\) 0.199348 + 1.62356i 0.0149839 + 0.122034i
\(178\) −12.0139 + 9.72864i −0.900478 + 0.729192i
\(179\) 10.7236 4.77447i 0.801522 0.356861i 0.0352513 0.999378i \(-0.488777\pi\)
0.766271 + 0.642518i \(0.222110\pi\)
\(180\) −2.21683 2.78489i −0.165233 0.207573i
\(181\) −23.5232 5.86500i −1.74847 0.435942i −0.769282 0.638910i \(-0.779386\pi\)
−0.979185 + 0.202968i \(0.934941\pi\)
\(182\) 3.09881 + 11.5649i 0.229699 + 0.857249i
\(183\) 10.0331 3.85136i 0.741672 0.284701i
\(184\) 0.153801 4.40427i 0.0113383 0.324687i
\(185\) 6.36916 + 2.37872i 0.468270 + 0.174887i
\(186\) −0.471393 + 3.35414i −0.0345642 + 0.245937i
\(187\) −4.91977 0.604071i −0.359769 0.0441741i
\(188\) −6.44023 + 2.73372i −0.469702 + 0.199377i
\(189\) −7.13523 + 21.9600i −0.519012 + 1.59735i
\(190\) 5.17944 8.25672i 0.375756 0.599005i
\(191\) −7.78429 23.9576i −0.563252 1.73351i −0.673090 0.739561i \(-0.735033\pi\)
0.109838 0.993949i \(-0.464967\pi\)
\(192\) 0.778515 + 0.895579i 0.0561845 + 0.0646329i
\(193\) 10.2583 21.9991i 0.738411 1.58353i −0.0718210 0.997418i \(-0.522881\pi\)
0.810232 0.586110i \(-0.199341\pi\)
\(194\) 0.253459 0.262465i 0.0181973 0.0188439i
\(195\) 1.49204 7.34715i 0.106847 0.526140i
\(196\) 6.12694 + 9.08356i 0.437638 + 0.648825i
\(197\) 9.93240 + 12.2655i 0.707654 + 0.873880i 0.996508 0.0834930i \(-0.0266076\pi\)
−0.288854 + 0.957373i \(0.593274\pi\)
\(198\) −1.44588 0.0757755i −0.102754 0.00538513i
\(199\) −10.6986 12.7501i −0.758403 0.903830i 0.239343 0.970935i \(-0.423068\pi\)
−0.997746 + 0.0671055i \(0.978624\pi\)
\(200\) 4.49555 + 2.18862i 0.317883 + 0.154759i
\(201\) −1.55297 + 2.68981i −0.109538 + 0.189725i
\(202\) 14.8402 + 9.63737i 1.04416 + 0.678083i
\(203\) −8.26125 1.60583i −0.579826 0.112707i
\(204\) 4.65185 4.49224i 0.325695 0.314520i
\(205\) −13.0531 13.2734i −0.911668 0.927053i
\(206\) −4.15425 + 6.15893i −0.289440 + 0.429113i
\(207\) −6.98853 + 0.611417i −0.485736 + 0.0424964i
\(208\) 0.441995 2.79065i 0.0306469 0.193497i
\(209\) −1.11801 3.80373i −0.0773343 0.263110i
\(210\) −1.47165 11.1473i −0.101554 0.769239i
\(211\) −2.05322 3.28583i −0.141349 0.226206i 0.769797 0.638288i \(-0.220357\pi\)
−0.911147 + 0.412082i \(0.864802\pi\)
\(212\) −0.975892 + 7.94800i −0.0670246 + 0.545871i
\(213\) −13.6196 4.16393i −0.933200 0.285308i
\(214\) −2.01266 + 3.78526i −0.137583 + 0.258755i
\(215\) 0.910363 + 1.02823i 0.0620863 + 0.0701249i
\(216\) 3.64605 4.04935i 0.248082 0.275524i
\(217\) 7.61183 9.39983i 0.516725 0.638102i
\(218\) −11.9293 1.04368i −0.807957 0.0706871i
\(219\) 1.58090 6.34063i 0.106827 0.428460i
\(220\) 1.87872 0.778982i 0.126663 0.0525190i
\(221\) −15.3132 1.60949i −1.03008 0.108266i
\(222\) −0.688453 + 3.54178i −0.0462059 + 0.237709i
\(223\) −25.1066 + 7.67585i −1.68126 + 0.514013i −0.980018 0.198910i \(-0.936260\pi\)
−0.701243 + 0.712923i \(0.747371\pi\)
\(224\) −0.735841 4.17316i −0.0491655 0.278831i
\(225\) 2.58587 7.52749i 0.172391 0.501832i
\(226\) 8.50904 + 7.13993i 0.566013 + 0.474941i
\(227\) 7.20155 3.66937i 0.477984 0.243545i −0.198362 0.980129i \(-0.563562\pi\)
0.676346 + 0.736584i \(0.263562\pi\)
\(228\) 4.77459 + 1.98949i 0.316205 + 0.131757i
\(229\) −14.0632 + 19.3564i −0.929324 + 1.27910i 0.0307988 + 0.999526i \(0.490195\pi\)
−0.960123 + 0.279579i \(0.909805\pi\)
\(230\) 8.48891 5.00446i 0.559742 0.329985i
\(231\) −3.79174 2.55756i −0.249478 0.168275i
\(232\) 1.62686 + 1.13914i 0.106809 + 0.0747882i
\(233\) 4.29052 12.4606i 0.281082 0.816320i −0.712343 0.701832i \(-0.752366\pi\)
0.993425 0.114489i \(-0.0365230\pi\)
\(234\) −4.49493 0.156966i −0.293843 0.0102612i
\(235\) −12.8962 8.85648i −0.841254 0.577733i
\(236\) −1.02439 + 0.922365i −0.0666821 + 0.0600409i
\(237\) 10.0138 2.31186i 0.650465 0.150172i
\(238\) −22.5012 + 5.19481i −1.45853 + 0.336729i
\(239\) −9.58732 + 8.63246i −0.620152 + 0.558387i −0.918177 0.396171i \(-0.870339\pi\)
0.298025 + 0.954558i \(0.403672\pi\)
\(240\) −0.752703 + 2.54444i −0.0485868 + 0.164243i
\(241\) 9.09550 + 0.317622i 0.585893 + 0.0204598i 0.326313 0.945262i \(-0.394194\pi\)
0.259580 + 0.965722i \(0.416416\pi\)
\(242\) −3.31191 + 9.61850i −0.212898 + 0.618300i
\(243\) −11.7473 8.22557i −0.753591 0.527670i
\(244\) 7.50819 + 5.06434i 0.480663 + 0.324211i
\(245\) −9.76129 + 22.4715i −0.623626 + 1.43565i
\(246\) 5.80699 7.99263i 0.370240 0.509591i
\(247\) −3.67868 11.7535i −0.234069 0.747860i
\(248\) −2.54322 + 1.29584i −0.161495 + 0.0822857i
\(249\) 9.20756 + 7.72606i 0.583506 + 0.489619i
\(250\) 1.27763 + 11.1071i 0.0808045 + 0.702475i
\(251\) 0.249222 + 1.41341i 0.0157308 + 0.0892135i 0.991662 0.128863i \(-0.0411328\pi\)
−0.975932 + 0.218077i \(0.930022\pi\)
\(252\) −6.45079 + 1.97220i −0.406361 + 0.124237i
\(253\) 0.764828 3.93470i 0.0480843 0.247372i
\(254\) 10.2660 + 1.07900i 0.644146 + 0.0677025i
\(255\) 14.0620 + 3.37063i 0.880594 + 0.211077i
\(256\) −0.241922 + 0.970296i −0.0151201 + 0.0606435i
\(257\) −13.6884 1.19758i −0.853859 0.0747030i −0.348183 0.937427i \(-0.613201\pi\)
−0.505676 + 0.862724i \(0.668757\pi\)
\(258\) −0.458654 + 0.566390i −0.0285545 + 0.0352619i
\(259\) 8.62137 9.57500i 0.535706 0.594961i
\(260\) 5.79295 2.52132i 0.359264 0.156366i
\(261\) 1.48422 2.79141i 0.0918707 0.172784i
\(262\) −6.42143 1.96323i −0.396717 0.121289i
\(263\) 2.64198 21.5172i 0.162911 1.32681i −0.656816 0.754051i \(-0.728097\pi\)
0.819727 0.572755i \(-0.194125\pi\)
\(264\) 0.571953 + 0.915316i 0.0352013 + 0.0563338i
\(265\) −16.1587 + 7.71443i −0.992620 + 0.473894i
\(266\) −10.9557 14.8712i −0.671736 0.911809i
\(267\) 2.86970 18.1186i 0.175623 1.10884i
\(268\) −2.60742 + 0.228120i −0.159274 + 0.0139346i
\(269\) 1.09518 1.62367i 0.0667741 0.0989967i −0.794172 0.607694i \(-0.792095\pi\)
0.860946 + 0.508697i \(0.169873\pi\)
\(270\) 12.0178 + 2.00665i 0.731382 + 0.122121i
\(271\) 19.9041 19.2212i 1.20909 1.16760i 0.228080 0.973642i \(-0.426755\pi\)
0.981009 0.193961i \(-0.0621336\pi\)
\(272\) 5.34951 + 1.03984i 0.324362 + 0.0630495i
\(273\) −11.9156 7.73806i −0.721163 0.468329i
\(274\) 11.5164 19.9470i 0.695732 1.20504i
\(275\) 3.72717 + 2.60580i 0.224757 + 0.157136i
\(276\) 3.36148 + 4.00606i 0.202337 + 0.241136i
\(277\) −13.0967 0.686367i −0.786902 0.0412398i −0.345348 0.938475i \(-0.612239\pi\)
−0.441554 + 0.897235i \(0.645573\pi\)
\(278\) −5.79011 7.15019i −0.347268 0.428840i
\(279\) 2.54078 + 3.76687i 0.152113 + 0.225516i
\(280\) 6.98372 6.40402i 0.417357 0.382713i
\(281\) −11.8549 + 12.2761i −0.707206 + 0.732333i −0.972773 0.231759i \(-0.925552\pi\)
0.265567 + 0.964092i \(0.414441\pi\)
\(282\) 3.50871 7.52446i 0.208941 0.448075i
\(283\) 1.36678 + 1.57230i 0.0812467 + 0.0934636i 0.793885 0.608068i \(-0.208055\pi\)
−0.712638 + 0.701532i \(0.752500\pi\)
\(284\) −3.70874 11.4143i −0.220073 0.677316i
\(285\) 1.98853 + 11.3939i 0.117791 + 0.674914i
\(286\) 0.794134 2.44409i 0.0469581 0.144522i
\(287\) −32.4749 + 13.7848i −1.91693 + 0.813689i
\(288\) 1.57999 + 0.193998i 0.0931016 + 0.0114314i
\(289\) 1.76729 12.5750i 0.103958 0.739703i
\(290\) −0.192114 + 4.43674i −0.0112813 + 0.260534i
\(291\) −0.0151106 + 0.432710i −0.000885797 + 0.0253659i
\(292\) 5.14110 1.97348i 0.300860 0.115489i
\(293\) −4.73953 17.6882i −0.276887 1.03335i −0.954567 0.297998i \(-0.903681\pi\)
0.677680 0.735357i \(-0.262985\pi\)
\(294\) −12.6157 3.14544i −0.735760 0.183446i
\(295\) −2.97051 0.822645i −0.172950 0.0478962i
\(296\) −2.77768 + 1.23670i −0.161449 + 0.0718818i
\(297\) 3.85160 3.11896i 0.223492 0.180981i
\(298\) 1.69497 + 13.8044i 0.0981871 + 0.799669i
\(299\) 2.16219 12.2624i 0.125043 0.709153i
\(300\) −5.70225 + 1.63953i −0.329220 + 0.0946584i
\(301\) 2.44562 0.890132i 0.140963 0.0513063i
\(302\) −2.66540 + 11.5451i −0.153377 + 0.664347i
\(303\) −20.7393 + 3.28478i −1.19144 + 0.188706i
\(304\) 0.934474 + 4.25755i 0.0535958 + 0.244187i
\(305\) −0.522831 + 20.2442i −0.0299372 + 1.15918i
\(306\) 0.605138 8.65388i 0.0345934 0.494709i
\(307\) −1.84055 0.858260i −0.105045 0.0489835i 0.369385 0.929276i \(-0.379568\pi\)
−0.474431 + 0.880293i \(0.657346\pi\)
\(308\) −0.0672660 3.85366i −0.00383283 0.219583i
\(309\) −1.22690 8.72988i −0.0697962 0.496625i
\(310\) −5.50048 3.23737i −0.312406 0.183870i
\(311\) 3.12836 0.664954i 0.177393 0.0377061i −0.118359 0.992971i \(-0.537763\pi\)
0.295752 + 0.955265i \(0.404430\pi\)
\(312\) 1.82607 + 2.81191i 0.103381 + 0.159193i
\(313\) −1.38910 6.01686i −0.0785167 0.340093i 0.920159 0.391546i \(-0.128059\pi\)
−0.998675 + 0.0514523i \(0.983615\pi\)
\(314\) −3.46804 8.58369i −0.195713 0.484406i
\(315\) −11.4731 9.79181i −0.646435 0.551706i
\(316\) 6.43611 + 5.79510i 0.362060 + 0.326000i
\(317\) 10.1090 + 5.60349i 0.567776 + 0.314723i 0.742448 0.669903i \(-0.233664\pi\)
−0.174672 + 0.984627i \(0.555887\pi\)
\(318\) −5.45033 7.78388i −0.305639 0.436498i
\(319\) 1.29941 + 1.25482i 0.0727529 + 0.0702567i
\(320\) −2.12026 + 0.710277i −0.118526 + 0.0397057i
\(321\) −1.23072 4.93616i −0.0686923 0.275510i
\(322\) −2.92136 18.4447i −0.162801 1.02789i
\(323\) 22.9038 6.29987i 1.27440 0.350534i
\(324\) 1.69046i 0.0939142i
\(325\) 11.7176 + 7.89139i 0.649977 + 0.437735i
\(326\) −1.00719 2.76722i −0.0557829 0.153262i
\(327\) 11.3487 8.55184i 0.627583 0.472918i
\(328\) 8.32418 + 0.145299i 0.459626 + 0.00802280i
\(329\) −24.5789 + 16.5787i −1.35508 + 0.914014i
\(330\) −1.03823 + 2.17870i −0.0571525 + 0.119934i
\(331\) −5.30946 + 0.558047i −0.291834 + 0.0306730i −0.249314 0.968423i \(-0.580205\pi\)
−0.0425200 + 0.999096i \(0.513539\pi\)
\(332\) −0.882800 + 10.0905i −0.0484500 + 0.553786i
\(333\) 2.49283 + 4.14877i 0.136606 + 0.227351i
\(334\) −3.06085 + 14.4002i −0.167482 + 0.787942i
\(335\) −3.56454 4.64194i −0.194751 0.253616i
\(336\) 3.96251 + 3.09585i 0.216173 + 0.168893i
\(337\) 2.40448 + 1.81191i 0.130980 + 0.0987008i 0.665278 0.746595i \(-0.268313\pi\)
−0.534298 + 0.845296i \(0.679424\pi\)
\(338\) −1.46681 + 4.79771i −0.0797838 + 0.260961i
\(339\) −13.1730 + 0.460013i −0.715461 + 0.0249845i
\(340\) 4.47017 + 11.3362i 0.242429 + 0.614794i
\(341\) −2.46909 + 0.802254i −0.133708 + 0.0434445i
\(342\) 6.54559 2.30241i 0.353945 0.124500i
\(343\) 11.8560 + 11.8560i 0.640162 + 0.640162i
\(344\) −0.612674 0.0428424i −0.0330332 0.00230990i
\(345\) −3.51232 + 11.1536i −0.189097 + 0.600492i
\(346\) 9.55410 19.5888i 0.513631 1.05310i
\(347\) 0.128859 7.38230i 0.00691749 0.396303i −0.976557 0.215258i \(-0.930941\pi\)
0.983475 0.181045i \(-0.0579480\pi\)
\(348\) −2.33916 + 0.287213i −0.125392 + 0.0153962i
\(349\) −16.9857 + 9.80671i −0.909225 + 0.524941i −0.880182 0.474637i \(-0.842579\pi\)
−0.0290432 + 0.999578i \(0.509246\pi\)
\(350\) 20.4697 + 5.46906i 1.09415 + 0.292334i
\(351\) 11.7937 9.89611i 0.629503 0.528215i
\(352\) −0.355389 + 0.837244i −0.0189423 + 0.0446253i
\(353\) −5.54282 2.12769i −0.295015 0.113245i 0.206359 0.978476i \(-0.433838\pi\)
−0.501374 + 0.865231i \(0.667172\pi\)
\(354\) 0.170982 1.62679i 0.00908760 0.0864628i
\(355\) 17.0628 20.7140i 0.905599 1.09938i
\(356\) 13.8944 6.77676i 0.736403 0.359168i
\(357\) 15.7180 22.4476i 0.831884 1.18805i
\(358\) −11.5228 + 2.23981i −0.608999 + 0.118377i
\(359\) 6.44339 + 2.60330i 0.340069 + 0.137397i 0.538288 0.842761i \(-0.319071\pi\)
−0.198219 + 0.980158i \(0.563516\pi\)
\(360\) 1.53355 + 3.21219i 0.0808254 + 0.169297i
\(361\) 11.8948 + 14.8160i 0.626042 + 0.779790i
\(362\) 21.6010 + 11.0063i 1.13532 + 0.578476i
\(363\) −4.71671 11.1119i −0.247563 0.583222i
\(364\) −0.417848 11.9656i −0.0219012 0.627168i
\(365\) 9.90109 + 7.32092i 0.518247 + 0.383194i
\(366\) −10.6424 + 1.49569i −0.556285 + 0.0781808i
\(367\) −6.28058 + 11.3305i −0.327843 + 0.591445i −0.987030 0.160534i \(-0.948678\pi\)
0.659187 + 0.751979i \(0.270901\pi\)
\(368\) −1.14060 + 4.25679i −0.0594581 + 0.221901i
\(369\) −1.38530 13.1803i −0.0721160 0.686138i
\(370\) −5.67082 3.75051i −0.294812 0.194979i
\(371\) 2.36704 + 33.8503i 0.122891 + 1.75742i
\(372\) 1.21383 3.16213i 0.0629340 0.163949i
\(373\) −4.41817 + 6.80338i −0.228764 + 0.352266i −0.934349 0.356360i \(-0.884018\pi\)
0.705585 + 0.708626i \(0.250684\pi\)
\(374\) 4.65779 + 1.69530i 0.240848 + 0.0876616i
\(375\) −9.94602 8.78039i −0.513610 0.453417i
\(376\) 6.89012 1.21491i 0.355331 0.0626544i
\(377\) 4.10391 + 3.82696i 0.211362 + 0.197099i
\(378\) 11.8923 19.7921i 0.611673 1.01799i
\(379\) −3.53523 2.56850i −0.181593 0.131935i 0.493275 0.869873i \(-0.335799\pi\)
−0.674868 + 0.737938i \(0.735799\pi\)
\(380\) −6.90405 + 6.87998i −0.354170 + 0.352935i
\(381\) −9.90989 + 7.19996i −0.507699 + 0.368865i
\(382\) 2.19550 + 25.0946i 0.112331 + 1.28395i
\(383\) 0.373011 + 1.91897i 0.0190600 + 0.0980550i 0.989932 0.141543i \(-0.0452065\pi\)
−0.970872 + 0.239598i \(0.922984\pi\)
\(384\) −0.557100 1.04775i −0.0284294 0.0534680i
\(385\) 7.18502 4.75938i 0.366183 0.242560i
\(386\) −14.9441 + 19.1276i −0.760636 + 0.973569i
\(387\) 0.0511672 + 0.976328i 0.00260097 + 0.0496295i
\(388\) −0.306005 + 0.198722i −0.0155350 + 0.0100886i
\(389\) 11.2058 4.52743i 0.568156 0.229550i −0.0725127 0.997367i \(-0.523102\pi\)
0.640668 + 0.767818i \(0.278657\pi\)
\(390\) −3.10655 + 6.82320i −0.157306 + 0.345506i
\(391\) 23.4915 + 4.99327i 1.18802 + 0.252521i
\(392\) −3.92655 10.2290i −0.198321 0.516643i
\(393\) 7.22163 3.36750i 0.364283 0.169868i
\(394\) −6.91870 14.1854i −0.348559 0.714652i
\(395\) −3.18941 + 19.1013i −0.160477 + 0.961093i
\(396\) 1.39178 + 0.399086i 0.0699395 + 0.0200548i
\(397\) 31.3760 + 18.8526i 1.57472 + 0.946185i 0.990945 + 0.134267i \(0.0428681\pi\)
0.583772 + 0.811918i \(0.301576\pi\)
\(398\) 7.55624 + 14.8300i 0.378760 + 0.743359i
\(399\) 21.4694 + 4.41511i 1.07482 + 0.221032i
\(400\) −3.88799 3.14381i −0.194400 0.157190i
\(401\) 16.9853 20.2423i 0.848206 1.01085i −0.151543 0.988451i \(-0.548424\pi\)
0.999749 0.0224020i \(-0.00713138\pi\)
\(402\) 2.11824 2.27153i 0.105648 0.113294i
\(403\) −7.62533 + 2.62561i −0.379845 + 0.130791i
\(404\) −12.2920 12.7287i −0.611547 0.633276i
\(405\) −3.18727 + 2.03212i −0.158377 + 0.100977i
\(406\) 7.68829 + 3.42305i 0.381563 + 0.169883i
\(407\) −2.67129 + 0.715770i −0.132411 + 0.0354794i
\(408\) −5.54316 + 3.33067i −0.274427 + 0.164893i
\(409\) 8.16902 + 5.10457i 0.403932 + 0.252405i 0.716638 0.697445i \(-0.245680\pi\)
−0.312706 + 0.949850i \(0.601235\pi\)
\(410\) 9.73268 + 15.8695i 0.480663 + 0.783738i
\(411\) 5.68265 + 26.7347i 0.280304 + 1.31873i
\(412\) 5.43324 5.06658i 0.267676 0.249612i
\(413\) −3.51535 + 4.66503i −0.172979 + 0.229551i
\(414\) 6.94695 + 0.976330i 0.341424 + 0.0479840i
\(415\) −20.0863 + 10.4654i −0.985996 + 0.513728i
\(416\) −1.05843 + 2.61970i −0.0518936 + 0.128441i
\(417\) 10.7835 + 1.70794i 0.528070 + 0.0836380i
\(418\) 0.233701 + 3.95774i 0.0114307 + 0.193579i
\(419\) −11.0713 15.2383i −0.540866 0.744439i 0.447871 0.894098i \(-0.352182\pi\)
−0.988738 + 0.149659i \(0.952182\pi\)
\(420\) −1.07367 + 11.1927i −0.0523898 + 0.546147i
\(421\) −2.23457 + 7.79286i −0.108906 + 0.379801i −0.996770 0.0803048i \(-0.974411\pi\)
0.887864 + 0.460105i \(0.152188\pi\)
\(422\) 1.26144 + 3.66349i 0.0614060 + 0.178336i
\(423\) −3.25622 10.6506i −0.158323 0.517850i
\(424\) 2.73879 7.52477i 0.133008 0.365435i
\(425\) −16.0002 + 22.0558i −0.776125 + 1.06986i
\(426\) 12.3339 + 7.12095i 0.597577 + 0.345011i
\(427\) 35.3265 + 14.9952i 1.70957 + 0.725670i
\(428\) 2.81258 3.23550i 0.135951 0.156394i
\(429\) 1.24036 + 2.78590i 0.0598853 + 0.134505i
\(430\) −0.655729 1.20667i −0.0316220 0.0581907i
\(431\) 5.71115 + 19.9172i 0.275097 + 0.959376i 0.970569 + 0.240823i \(0.0774173\pi\)
−0.695472 + 0.718553i \(0.744805\pi\)
\(432\) −4.46351 + 3.12538i −0.214751 + 0.150370i
\(433\) 23.5160 0.410473i 1.13011 0.0197261i 0.550655 0.834733i \(-0.314378\pi\)
0.579452 + 0.815007i \(0.303267\pi\)
\(434\) −9.53124 + 7.44662i −0.457514 + 0.357449i
\(435\) −3.35347 4.06511i −0.160787 0.194907i
\(436\) 11.3888 + 3.70045i 0.545425 + 0.177219i
\(437\) 3.79010 + 18.8319i 0.181305 + 0.900850i
\(438\) −2.96671 + 5.82249i −0.141755 + 0.278210i
\(439\) −14.7893 + 9.24136i −0.705853 + 0.441066i −0.834777 0.550588i \(-0.814403\pi\)
0.128924 + 0.991655i \(0.458848\pi\)
\(440\) −2.00580 + 0.336397i −0.0956228 + 0.0160371i
\(441\) −15.3999 + 8.18830i −0.733331 + 0.389919i
\(442\) 14.5587 + 5.01296i 0.692487 + 0.238442i
\(443\) −4.43782 9.51694i −0.210847 0.452164i 0.772233 0.635340i \(-0.219140\pi\)
−0.983080 + 0.183176i \(0.941362\pi\)
\(444\) 1.46754 3.29614i 0.0696462 0.156428i
\(445\) 29.4800 + 18.0508i 1.39748 + 0.855688i
\(446\) 26.1898 1.83137i 1.24012 0.0867178i
\(447\) −12.4558 10.8277i −0.589140 0.512131i
\(448\) −0.221776 + 4.23173i −0.0104779 + 0.199931i
\(449\) 13.9168 + 24.1046i 0.656775 + 1.13757i 0.981446 + 0.191740i \(0.0614131\pi\)
−0.324671 + 0.945827i \(0.605254\pi\)
\(450\) −4.21291 + 6.75286i −0.198598 + 0.318333i
\(451\) 7.45737 + 1.31493i 0.351154 + 0.0619179i
\(452\) −6.68482 8.87105i −0.314427 0.417259i
\(453\) −6.81663 12.2975i −0.320273 0.577788i
\(454\) −7.84241 + 1.95533i −0.368062 + 0.0917683i
\(455\) 22.0582 15.1719i 1.03410 0.711268i
\(456\) −4.20468 3.01255i −0.196902 0.141076i
\(457\) 8.59404 8.59404i 0.402012 0.402012i −0.476929 0.878942i \(-0.658250\pi\)
0.878942 + 0.476929i \(0.158250\pi\)
\(458\) 18.0570 15.6967i 0.843749 0.733460i
\(459\) 18.2819 + 23.3998i 0.853326 + 1.09221i
\(460\) −9.39710 + 2.96661i −0.438142 + 0.138319i
\(461\) −13.3251 7.08507i −0.620610 0.329984i 0.129219 0.991616i \(-0.458753\pi\)
−0.749829 + 0.661632i \(0.769864\pi\)
\(462\) 3.11923 + 3.34497i 0.145120 + 0.155622i
\(463\) 7.92418 0.415289i 0.368268 0.0193001i 0.132695 0.991157i \(-0.457637\pi\)
0.235573 + 0.971857i \(0.424303\pi\)
\(464\) −1.32891 1.47591i −0.0616932 0.0685173i
\(465\) 7.42119 1.51264i 0.344150 0.0701469i
\(466\) −6.98358 + 11.1761i −0.323508 + 0.517721i
\(467\) −3.00760 2.43551i −0.139175 0.112702i 0.557205 0.830375i \(-0.311874\pi\)
−0.696380 + 0.717673i \(0.745207\pi\)
\(468\) 4.34442 + 1.16408i 0.200821 + 0.0538097i
\(469\) −10.6616 + 3.05717i −0.492308 + 0.141167i
\(470\) 10.5734 + 11.5305i 0.487714 + 0.531862i
\(471\) 9.87399 + 4.81586i 0.454969 + 0.221903i
\(472\) 1.20562 0.668287i 0.0554933 0.0307604i
\(473\) −0.544301 0.125662i −0.0250270 0.00577793i
\(474\) −10.2772 −0.472047
\(475\) −21.2713 4.74670i −0.975995 0.217793i
\(476\) 23.0931 1.05847
\(477\) −12.4204 2.86746i −0.568689 0.131292i
\(478\) 11.2835 6.25453i 0.516094 0.286076i
\(479\) −10.1620 4.95632i −0.464312 0.226460i 0.191339 0.981524i \(-0.438717\pi\)
−0.655651 + 0.755064i \(0.727606\pi\)
\(480\) 1.30579 2.30991i 0.0596007 0.105432i
\(481\) −8.25806 + 2.36796i −0.376535 + 0.107970i
\(482\) −8.79093 2.35552i −0.400416 0.107291i
\(483\) 17.2218 + 13.9460i 0.783621 + 0.634564i
\(484\) 5.39072 8.62696i 0.245033 0.392134i
\(485\) −0.742534 0.338070i −0.0337167 0.0153510i
\(486\) 9.59589 + 10.6573i 0.435279 + 0.483426i
\(487\) 5.66434 0.296856i 0.256676 0.0134518i 0.0764360 0.997074i \(-0.475646\pi\)
0.180240 + 0.983623i \(0.442313\pi\)
\(488\) −6.17653 6.62352i −0.279598 0.299833i
\(489\) 3.08544 + 1.64056i 0.139529 + 0.0741886i
\(490\) 14.5661 19.6998i 0.658029 0.889944i
\(491\) −20.3392 26.0330i −0.917895 1.17485i −0.984201 0.177052i \(-0.943344\pi\)
0.0663066 0.997799i \(-0.478878\pi\)
\(492\) −7.45610 + 6.48149i −0.336147 + 0.292208i
\(493\) −7.65311 + 7.65311i −0.344679 + 0.344679i
\(494\) 0.940427 + 12.2798i 0.0423118 + 0.552495i
\(495\) 0.920624 + 3.10388i 0.0413790 + 0.139509i
\(496\) 2.76954 0.690524i 0.124356 0.0310054i
\(497\) −24.6564 44.4812i −1.10599 1.99526i
\(498\) −7.23359 9.59929i −0.324145 0.430155i
\(499\) −32.3763 5.70881i −1.44936 0.255561i −0.607097 0.794628i \(-0.707666\pi\)
−0.842263 + 0.539066i \(0.818777\pi\)
\(500\) 1.25367 11.1098i 0.0560657 0.496847i
\(501\) −8.73489 15.1293i −0.390246 0.675926i
\(502\) 0.0751132 1.43325i 0.00335247 0.0639689i
\(503\) 24.7523 + 21.5169i 1.10365 + 0.959390i 0.999382 0.0351594i \(-0.0111939\pi\)
0.104270 + 0.994549i \(0.466749\pi\)
\(504\) 6.72910 0.470545i 0.299738 0.0209597i
\(505\) 9.22293 38.4772i 0.410415 1.71221i
\(506\) −1.63034 + 3.66180i −0.0724775 + 0.162787i
\(507\) −2.51600 5.39557i −0.111739 0.239626i
\(508\) −9.76017 3.36069i −0.433037 0.149107i
\(509\) 36.4010 19.3547i 1.61344 0.857884i 0.615902 0.787823i \(-0.288792\pi\)
0.997543 0.0700609i \(-0.0223194\pi\)
\(510\) −12.9433 6.44749i −0.573140 0.285500i
\(511\) 19.7897 12.3659i 0.875443 0.547037i
\(512\) 0.453990 0.891007i 0.0200637 0.0393773i
\(513\) −11.3771 + 20.8492i −0.502312 + 0.920515i
\(514\) 13.0682 + 4.24611i 0.576412 + 0.187288i
\(515\) 16.0842 + 4.15348i 0.708752 + 0.183024i
\(516\) 0.574308 0.448699i 0.0252825 0.0197529i
\(517\) 6.36261 0.111060i 0.279827 0.00488440i
\(518\) −10.5543 + 7.39020i −0.463730 + 0.324707i
\(519\) 7.12869 + 24.8607i 0.312915 + 1.09126i
\(520\) −6.21165 + 1.15357i −0.272399 + 0.0505875i
\(521\) −5.79236 13.0099i −0.253768 0.569972i 0.741072 0.671425i \(-0.234318\pi\)
−0.994840 + 0.101453i \(0.967651\pi\)
\(522\) −2.07411 + 2.38599i −0.0907812 + 0.104432i
\(523\) −29.4506 12.5010i −1.28779 0.546632i −0.364663 0.931140i \(-0.618816\pi\)
−0.923122 + 0.384507i \(0.874371\pi\)
\(524\) 5.81522 + 3.35742i 0.254039 + 0.146669i
\(525\) −22.3939 + 11.4306i −0.977350 + 0.498870i
\(526\) −7.41458 + 20.3714i −0.323291 + 0.888234i
\(527\) −4.54785 14.8754i −0.198108 0.647981i
\(528\) −0.351392 1.02052i −0.0152924 0.0444123i
\(529\) 0.986432 3.44010i 0.0428884 0.149569i
\(530\) 17.4799 3.88180i 0.759279 0.168615i
\(531\) −1.28977 1.77522i −0.0559714 0.0770380i
\(532\) 7.32961 + 16.9545i 0.317779 + 0.735071i
\(533\) 23.2334 + 3.67981i 1.00635 + 0.159390i
\(534\) −6.87195 + 17.0087i −0.297378 + 0.736037i
\(535\) 9.48141 + 1.41352i 0.409917 + 0.0611118i
\(536\) 2.59191 + 0.364269i 0.111954 + 0.0157340i
\(537\) 8.38299 11.1246i 0.361753 0.480062i
\(538\) −1.43235 + 1.33569i −0.0617532 + 0.0575857i
\(539\) −2.07199 9.74793i −0.0892468 0.419873i
\(540\) −11.2584 4.65864i −0.484485 0.200476i
\(541\) −11.5606 7.22384i −0.497027 0.310577i 0.258142 0.966107i \(-0.416890\pi\)
−0.755169 + 0.655530i \(0.772445\pi\)
\(542\) −23.7178 + 14.2511i −1.01877 + 0.612137i
\(543\) −27.7882 + 7.44583i −1.19251 + 0.319531i
\(544\) −4.97849 2.21657i −0.213451 0.0950345i
\(545\) 6.71367 + 25.9214i 0.287582 + 1.11035i
\(546\) 9.86948 + 10.2202i 0.422375 + 0.437382i
\(547\) 0.393762 0.135583i 0.0168360 0.00579711i −0.317137 0.948380i \(-0.602722\pi\)
0.333973 + 0.942583i \(0.391610\pi\)
\(548\) −15.7084 + 16.8452i −0.671028 + 0.719589i
\(549\) −9.26683 + 11.0438i −0.395499 + 0.471337i
\(550\) −3.04547 3.37744i −0.129859 0.144015i
\(551\) −8.04783 3.18972i −0.342849 0.135887i
\(552\) −2.37416 4.65955i −0.101051 0.198324i
\(553\) 31.4579 + 18.9018i 1.33773 + 0.803787i
\(554\) 12.6066 + 3.61488i 0.535603 + 0.153582i
\(555\) 7.97885 1.19538i 0.338683 0.0507411i
\(556\) 4.03327 + 8.26942i 0.171049 + 0.350702i
\(557\) −13.4173 + 6.25660i −0.568510 + 0.265101i −0.685549 0.728027i \(-0.740438\pi\)
0.117038 + 0.993127i \(0.462660\pi\)
\(558\) −1.62830 4.24187i −0.0689316 0.179573i
\(559\) −1.69738 0.360789i −0.0717914 0.0152597i
\(560\) −8.24531 + 4.66889i −0.348428 + 0.197297i
\(561\) −5.45361 + 2.20340i −0.230251 + 0.0930276i
\(562\) 14.3126 9.29472i 0.603741 0.392074i
\(563\) −0.584851 11.1596i −0.0246485 0.470322i −0.982871 0.184297i \(-0.940999\pi\)
0.958222 0.286025i \(-0.0923341\pi\)
\(564\) −5.11142 + 6.54232i −0.215230 + 0.275481i
\(565\) 8.68998 23.2679i 0.365590 0.978888i
\(566\) −0.978059 1.83946i −0.0411109 0.0773184i
\(567\) 1.36684 + 7.03176i 0.0574017 + 0.295306i
\(568\) 1.04602 + 11.9561i 0.0438900 + 0.501665i
\(569\) −37.9597 + 27.5793i −1.59135 + 1.15619i −0.689373 + 0.724406i \(0.742114\pi\)
−0.901979 + 0.431779i \(0.857886\pi\)
\(570\) 0.625492 11.5492i 0.0261990 0.483741i
\(571\) −19.2991 14.0216i −0.807642 0.586786i 0.105504 0.994419i \(-0.466354\pi\)
−0.913146 + 0.407633i \(0.866354\pi\)
\(572\) −1.32358 + 2.20281i −0.0553417 + 0.0921041i
\(573\) −21.8619 20.3866i −0.913295 0.851661i
\(574\) 34.7435 6.12621i 1.45016 0.255703i
\(575\) −16.8898 14.1515i −0.704354 0.590160i
\(576\) −1.49585 0.544445i −0.0623271 0.0226852i
\(577\) 20.0571 30.8853i 0.834990 1.28577i −0.121083 0.992642i \(-0.538637\pi\)
0.956073 0.293129i \(-0.0946967\pi\)
\(578\) −4.55075 + 11.8551i −0.189286 + 0.493107i
\(579\) −2.00926 28.7338i −0.0835022 1.19414i
\(580\) 1.18524 4.27981i 0.0492144 0.177709i
\(581\) 4.48657 + 42.6869i 0.186134 + 1.77095i
\(582\) 0.112062 0.418220i 0.00464511 0.0173358i
\(583\) 3.53106 6.37020i 0.146241 0.263827i
\(584\) −5.45327 + 0.766407i −0.225658 + 0.0317141i
\(585\) 3.02768 + 9.59054i 0.125179 + 0.396520i
\(586\) 0.639085 + 18.3010i 0.0264004 + 0.756007i
\(587\) −13.8231 32.5653i −0.570542 1.34411i −0.914293 0.405053i \(-0.867253\pi\)
0.343751 0.939061i \(-0.388302\pi\)
\(588\) 11.5848 + 5.90273i 0.477747 + 0.243424i
\(589\) 9.47775 8.06031i 0.390524 0.332119i
\(590\) 2.70932 + 1.46978i 0.111541 + 0.0605099i
\(591\) 17.3649 + 7.01588i 0.714297 + 0.288595i
\(592\) 2.98468 0.580163i 0.122670 0.0238446i
\(593\) −4.72883 + 6.75347i −0.194190 + 0.277332i −0.904425 0.426633i \(-0.859700\pi\)
0.710235 + 0.703964i \(0.248589\pi\)
\(594\) −4.45449 + 2.17260i −0.182770 + 0.0891430i
\(595\) 27.7605 + 43.5408i 1.13807 + 1.78500i
\(596\) 1.45379 13.8319i 0.0595497 0.566577i
\(597\) −18.4389 7.07803i −0.754654 0.289685i
\(598\) −4.86521 + 11.4617i −0.198953 + 0.468705i
\(599\) 18.7638 15.7447i 0.766669 0.643311i −0.173185 0.984889i \(-0.555406\pi\)
0.939853 + 0.341578i \(0.110961\pi\)
\(600\) 5.92492 0.314784i 0.241884 0.0128510i
\(601\) 10.6196 6.13124i 0.433184 0.250099i −0.267518 0.963553i \(-0.586204\pi\)
0.700702 + 0.713454i \(0.252870\pi\)
\(602\) −2.58317 + 0.317174i −0.105282 + 0.0129270i
\(603\) 0.0727152 4.16585i 0.00296119 0.169647i
\(604\) 5.19417 10.6496i 0.211348 0.433327i
\(605\) 22.7460 0.206680i 0.924755 0.00840272i
\(606\) 20.9467 + 1.46473i 0.850900 + 0.0595007i
\(607\) 33.3066 + 33.3066i 1.35187 + 1.35187i 0.883565 + 0.468308i \(0.155136\pi\)
0.468308 + 0.883565i \(0.344864\pi\)
\(608\) 0.0472171 4.35864i 0.00191491 0.176766i
\(609\) −9.49795 + 3.08607i −0.384876 + 0.125054i
\(610\) 5.06339 19.6078i 0.205011 0.793895i
\(611\) 19.7559 0.689889i 0.799236 0.0279099i
\(612\) −2.53633 + 8.29595i −0.102525 + 0.335344i
\(613\) 10.2406 + 7.71683i 0.413613 + 0.311680i 0.788094 0.615555i \(-0.211068\pi\)
−0.374481 + 0.927235i \(0.622179\pi\)
\(614\) 1.60031 + 1.25030i 0.0645831 + 0.0504578i
\(615\) −21.1836 6.26659i −0.854206 0.252693i
\(616\) −0.801344 + 3.77003i −0.0322871 + 0.151899i
\(617\) 16.9455 + 28.2021i 0.682202 + 1.13537i 0.983337 + 0.181793i \(0.0581901\pi\)
−0.301135 + 0.953582i \(0.597365\pi\)
\(618\) −0.768336 + 8.78213i −0.0309070 + 0.353269i
\(619\) 24.7355 2.59980i 0.994203 0.104495i 0.406568 0.913621i \(-0.366726\pi\)
0.587636 + 0.809126i \(0.300059\pi\)
\(620\) 4.63126 + 4.39174i 0.185996 + 0.176376i
\(621\) −19.9079 + 13.4280i −0.798876 + 0.538849i
\(622\) −3.19777 0.0558172i −0.128219 0.00223807i
\(623\) 52.3170 39.4237i 2.09604 1.57948i
\(624\) −1.14673 3.15061i −0.0459059 0.126125i
\(625\) 22.4541 10.9916i 0.898163 0.439663i
\(626\) 6.17513i 0.246808i
\(627\) −3.34864 3.30459i −0.133732 0.131973i
\(628\) 1.44824 + 9.14383i 0.0577911 + 0.364878i
\(629\) −4.00861 16.0777i −0.159834 0.641058i
\(630\) 8.97635 + 12.1217i 0.357626 + 0.482941i
\(631\) −31.4078 30.3301i −1.25032 1.20742i −0.968793 0.247872i \(-0.920269\pi\)
−0.281531 0.959552i \(-0.590842\pi\)
\(632\) −4.96754 7.09438i −0.197598 0.282199i
\(633\) −4.02132 2.22905i −0.159833 0.0885969i
\(634\) −8.58936 7.73390i −0.341127 0.307152i
\(635\) −5.39644 22.4422i −0.214151 0.890593i
\(636\) 3.55965 + 8.81044i 0.141149 + 0.349357i
\(637\) −6.96394 30.1641i −0.275921 1.19515i
\(638\) −0.983831 1.51497i −0.0389502 0.0599781i
\(639\) 18.6875 3.97215i 0.739265 0.157136i
\(640\) 2.22570 0.215118i 0.0879784 0.00850328i
\(641\) −4.48368 31.9030i −0.177095 1.26009i −0.852531 0.522676i \(-0.824934\pi\)
0.675437 0.737418i \(-0.263955\pi\)
\(642\) 0.0887853 + 5.08650i 0.00350407 + 0.200748i
\(643\) 1.55402 + 0.724653i 0.0612847 + 0.0285775i 0.453019 0.891501i \(-0.350347\pi\)
−0.391734 + 0.920078i \(0.628125\pi\)
\(644\) −1.30268 + 18.6292i −0.0513327 + 0.734092i
\(645\) 1.53638 + 0.543441i 0.0604951 + 0.0213980i
\(646\) −23.7339 + 0.986174i −0.933799 + 0.0388005i
\(647\) −7.04429 + 1.11571i −0.276940 + 0.0438629i −0.293359 0.956002i \(-0.594773\pi\)
0.0164197 + 0.999865i \(0.494773\pi\)
\(648\) 0.380270 1.64713i 0.0149384 0.0647053i
\(649\) 1.17816 0.428815i 0.0462468 0.0168325i
\(650\) −9.64213 10.3250i −0.378196 0.404981i
\(651\) 2.49237 14.1349i 0.0976835 0.553991i
\(652\) 0.358883 + 2.92287i 0.0140549 + 0.114468i
\(653\) 10.7735 8.72422i 0.421600 0.341405i −0.394927 0.918713i \(-0.629230\pi\)
0.816527 + 0.577308i \(0.195897\pi\)
\(654\) −12.9816 + 5.77976i −0.507619 + 0.226007i
\(655\) 0.660331 + 15.0003i 0.0258013 + 0.586110i
\(656\) −8.07815 2.01411i −0.315399 0.0786377i
\(657\) 2.26883 + 8.46740i 0.0885156 + 0.330345i
\(658\) 27.6784 10.6247i 1.07902 0.414195i
\(659\) −1.26800 + 36.3107i −0.0493942 + 1.41446i 0.681422 + 0.731891i \(0.261362\pi\)
−0.730816 + 0.682574i \(0.760860\pi\)
\(660\) 1.50172 1.88931i 0.0584543 0.0735414i
\(661\) −2.19438 + 15.6138i −0.0853513 + 0.607306i 0.899888 + 0.436122i \(0.143648\pi\)
−0.985239 + 0.171184i \(0.945241\pi\)
\(662\) 5.29892 + 0.650625i 0.205948 + 0.0252873i
\(663\) −16.8191 + 7.13929i −0.653200 + 0.277267i
\(664\) 3.13003 9.63325i 0.121469 0.373843i
\(665\) −23.1558 + 34.2009i −0.897943 + 1.32625i
\(666\) −1.49567 4.60320i −0.0579561 0.178370i
\(667\) −5.74205 6.60548i −0.222333 0.255765i
\(668\) 6.22173 13.3426i 0.240726 0.516239i
\(669\) −21.6415 + 22.4104i −0.836707 + 0.866436i
\(670\) 2.42897 + 5.32481i 0.0938392 + 0.205715i
\(671\) −4.60627 6.82907i −0.177823 0.263633i
\(672\) −3.16453 3.90788i −0.122075 0.150750i
\(673\) 6.73401 + 0.352914i 0.259577 + 0.0136038i 0.181681 0.983358i \(-0.441846\pi\)
0.0778964 + 0.996961i \(0.475180\pi\)
\(674\) −1.93526 2.30636i −0.0745436 0.0888376i
\(675\) −4.75029 26.8274i −0.182839 1.03259i
\(676\) 2.50846 4.34478i 0.0964793 0.167107i
\(677\) 12.4172 + 8.06382i 0.477232 + 0.309918i 0.760746 0.649050i \(-0.224833\pi\)
−0.283514 + 0.958968i \(0.591500\pi\)
\(678\) 12.9389 + 2.51507i 0.496915 + 0.0965906i
\(679\) −1.11221 + 1.07404i −0.0426825 + 0.0412180i
\(680\) −1.80550 12.0513i −0.0692379 0.462145i
\(681\) 5.36329 7.95140i 0.205522 0.304698i
\(682\) 2.58627 0.226269i 0.0990334 0.00866430i
\(683\) −2.51710 + 15.8923i −0.0963141 + 0.608103i 0.891567 + 0.452889i \(0.149607\pi\)
−0.987881 + 0.155214i \(0.950393\pi\)
\(684\) −6.89576 + 0.770965i −0.263666 + 0.0294786i
\(685\) −50.6439 9.36747i −1.93501 0.357912i
\(686\) −8.88509 14.2191i −0.339234 0.542889i
\(687\) −3.46007 + 28.1800i −0.132010 + 1.07513i
\(688\) 0.587334 + 0.179566i 0.0223919 + 0.00684589i
\(689\) 10.6219 19.9769i 0.404662 0.761058i
\(690\) 5.93133 10.0777i 0.225802 0.383651i
\(691\) 10.8844 12.0883i 0.414060 0.459861i −0.499650 0.866228i \(-0.666538\pi\)
0.913710 + 0.406367i \(0.133205\pi\)
\(692\) −13.7157 + 16.9375i −0.521394 + 0.643869i
\(693\) 6.11205 + 0.534735i 0.232178 + 0.0203129i
\(694\) −1.78621 + 7.16410i −0.0678037 + 0.271946i
\(695\) −10.7431 + 17.5453i −0.407510 + 0.665532i
\(696\) 2.34382 + 0.246345i 0.0888423 + 0.00933770i
\(697\) −8.65713 + 44.5371i −0.327912 + 1.68696i
\(698\) 18.7564 5.73441i 0.709941 0.217051i
\(699\) −2.71558 15.4008i −0.102713 0.582513i
\(700\) −18.7148 9.93357i −0.707352 0.375454i
\(701\) 19.6872 + 16.5195i 0.743576 + 0.623935i 0.933796 0.357807i \(-0.116475\pi\)
−0.190219 + 0.981742i \(0.560920\pi\)
\(702\) −13.7176 + 6.98947i −0.517737 + 0.263800i
\(703\) 10.5316 8.04601i 0.397207 0.303461i
\(704\) 0.534620 0.735841i 0.0201492 0.0277330i
\(705\) −18.4797 1.77269i −0.695987 0.0667633i
\(706\) 4.92213 + 3.32002i 0.185247 + 0.124951i
\(707\) −61.4226 43.0085i −2.31003 1.61750i
\(708\) −0.532547 + 1.54663i −0.0200144 + 0.0581259i
\(709\) −18.3304 0.640113i −0.688414 0.0240400i −0.311443 0.950265i \(-0.600812\pi\)
−0.376971 + 0.926225i \(0.623035\pi\)
\(710\) −21.2851 + 16.3448i −0.798816 + 0.613409i
\(711\) −10.2453 + 9.22494i −0.384230 + 0.345962i
\(712\) −15.0627 + 3.47751i −0.564500 + 0.130325i
\(713\) 12.2565 2.82963i 0.459009 0.105971i
\(714\) −20.3647 + 18.3365i −0.762132 + 0.686226i
\(715\) −5.74438 + 0.152489i −0.214828 + 0.00570275i
\(716\) 11.7313 + 0.409667i 0.438420 + 0.0153100i
\(717\) −4.98413 + 14.4750i −0.186136 + 0.540578i
\(718\) −5.69263 3.98602i −0.212447 0.148757i
\(719\) 40.3550 + 27.2198i 1.50499 + 1.01513i 0.987176 + 0.159634i \(0.0510314\pi\)
0.517813 + 0.855494i \(0.326746\pi\)
\(720\) −0.771664 3.47484i −0.0287582 0.129500i
\(721\) 18.5039 25.4685i 0.689122 0.948495i
\(722\) −8.25705 17.1120i −0.307296 0.636843i
\(723\) 9.62269 4.90300i 0.357872 0.182345i
\(724\) −18.5715 15.5833i −0.690204 0.579150i
\(725\) 9.49415 2.91012i 0.352604 0.108079i
\(726\) 2.09619 + 11.8881i 0.0777971 + 0.441209i
\(727\) −43.7808 + 13.3851i −1.62374 + 0.496427i −0.966373 0.257145i \(-0.917218\pi\)
−0.657366 + 0.753572i \(0.728329\pi\)
\(728\) −2.28453 + 11.7529i −0.0846705 + 0.435592i
\(729\) −21.9680 2.30893i −0.813629 0.0855158i
\(730\) −8.00048 9.36054i −0.296111 0.346449i
\(731\) 0.809714 3.24758i 0.0299483 0.120116i
\(732\) 10.7061 + 0.936659i 0.395707 + 0.0346199i
\(733\) 10.0893 12.4593i 0.372657 0.460194i −0.555973 0.831201i \(-0.687654\pi\)
0.928630 + 0.371007i \(0.120987\pi\)
\(734\) 8.66840 9.62724i 0.319957 0.355348i
\(735\) 2.79694 + 28.9382i 0.103167 + 1.06740i
\(736\) 2.06894 3.89111i 0.0762622 0.143428i
\(737\) 2.27662 + 0.696032i 0.0838603 + 0.0256387i
\(738\) −1.61512 + 13.1541i −0.0594534 + 0.484209i
\(739\) 10.7202 + 17.1559i 0.394348 + 0.631089i 0.984332 0.176326i \(-0.0564213\pi\)
−0.589983 + 0.807415i \(0.700866\pi\)
\(740\) 4.68180 + 4.93004i 0.172106 + 0.181232i
\(741\) −10.5798 10.0823i −0.388660 0.370383i
\(742\) 5.30828 33.5151i 0.194873 1.23038i
\(743\) −34.9190 + 3.05501i −1.28105 + 0.112078i −0.707278 0.706935i \(-0.750077\pi\)
−0.573775 + 0.819013i \(0.694522\pi\)
\(744\) −1.89404 + 2.80803i −0.0694389 + 0.102947i
\(745\) 27.8270 13.8865i 1.01950 0.508763i
\(746\) 5.83536 5.63514i 0.213648 0.206317i
\(747\) −15.8276 3.07658i −0.579102 0.112566i
\(748\) −4.15705 2.69962i −0.151997 0.0987078i
\(749\) 9.08333 15.7328i 0.331898 0.574864i
\(750\) 7.71595 + 10.7927i 0.281747 + 0.394094i
\(751\) −8.47865 10.1045i −0.309390 0.368717i 0.588834 0.808254i \(-0.299587\pi\)
−0.898225 + 0.439537i \(0.855143\pi\)
\(752\) −6.98682 0.366164i −0.254783 0.0133526i
\(753\) 1.07180 + 1.32356i 0.0390584 + 0.0482331i
\(754\) −3.13785 4.65206i −0.114274 0.169418i
\(755\) 26.3233 3.00875i 0.958004 0.109500i
\(756\) −16.0397 + 16.6096i −0.583360 + 0.604086i
\(757\) 2.85388 6.12017i 0.103726 0.222441i −0.847594 0.530645i \(-0.821950\pi\)
0.951321 + 0.308203i \(0.0997277\pi\)
\(758\) 2.86684 + 3.29792i 0.104128 + 0.119786i
\(759\) −1.46985 4.52372i −0.0533520 0.164201i
\(760\) 8.27476 5.15057i 0.300157 0.186831i
\(761\) 12.0059 36.9503i 0.435213 1.33945i −0.457655 0.889130i \(-0.651311\pi\)
0.892868 0.450318i \(-0.148689\pi\)
\(762\) 11.2755 4.78618i 0.408470 0.173385i
\(763\) 50.3659 + 6.18416i 1.82337 + 0.223882i
\(764\) 3.50584 24.9453i 0.126837 0.902491i
\(765\) −18.6906 + 5.19059i −0.675758 + 0.187666i
\(766\) 0.0682247 1.95370i 0.00246506 0.0705900i
\(767\) 3.63604 1.39575i 0.131290 0.0503975i
\(768\) 0.307129 + 1.14622i 0.0110826 + 0.0413607i
\(769\) −12.5986 3.14119i −0.454317 0.113274i 0.00804002 0.999968i \(-0.497441\pi\)
−0.462357 + 0.886694i \(0.652996\pi\)
\(770\) −8.07150 + 3.02112i −0.290877 + 0.108874i
\(771\) −14.8958 + 6.63202i −0.536458 + 0.238847i
\(772\) 18.8639 15.2757i 0.678926 0.549783i
\(773\) −0.873511 7.11418i −0.0314180 0.255879i −0.999975 0.00708691i \(-0.997744\pi\)
0.968557 0.248792i \(-0.0800336\pi\)
\(774\) 0.169770 0.962815i 0.00610227 0.0346077i
\(775\) −2.71308 + 14.0114i −0.0974567 + 0.503303i
\(776\) 0.342865 0.124793i 0.0123081 0.00447979i
\(777\) 3.43936 14.8975i 0.123386 0.534445i
\(778\) −11.9370 + 1.89064i −0.427963 + 0.0677827i
\(779\) −35.4460 + 7.77992i −1.26999 + 0.278745i
\(780\) 4.56182 5.94950i 0.163339 0.213026i
\(781\) −0.761473 + 10.8896i −0.0272477 + 0.389660i
\(782\) −21.7662 10.1497i −0.778357 0.362954i
\(783\) −0.188866 10.8201i −0.00674951 0.386679i
\(784\) 1.52488 + 10.8501i 0.0544602 + 0.387504i
\(785\) −15.4993 + 13.7225i −0.553192 + 0.489778i
\(786\) −7.79407 + 1.65668i −0.278005 + 0.0590918i
\(787\) −0.471089 0.725414i −0.0167925 0.0258582i 0.830175 0.557503i \(-0.188241\pi\)
−0.846967 + 0.531645i \(0.821574\pi\)
\(788\) 3.55034 + 15.3782i 0.126476 + 0.547827i
\(789\) −9.63683 23.8520i −0.343080 0.849154i
\(790\) 7.40453 17.8943i 0.263441 0.636651i
\(791\) −34.9795 31.4957i −1.24373 1.11986i
\(792\) −1.26633 0.701940i −0.0449972 0.0249423i
\(793\) −14.6770 20.9609i −0.521196 0.744345i
\(794\) −26.3309 25.4275i −0.934450 0.902388i
\(795\) −12.3325 + 17.3027i −0.437389 + 0.613664i
\(796\) −4.02656 16.1497i −0.142718 0.572409i
\(797\) 7.28743 + 46.0110i 0.258134 + 1.62979i 0.687164 + 0.726503i \(0.258856\pi\)
−0.429030 + 0.903290i \(0.641144\pi\)
\(798\) −19.9260 9.13152i −0.705372 0.323252i
\(799\) 38.1279i 1.34887i
\(800\) 3.08114 + 3.93784i 0.108935 + 0.139224i
\(801\) 8.41656 + 23.1243i 0.297384 + 0.817057i
\(802\) −21.1035 + 15.9026i −0.745191 + 0.561542i
\(803\) −5.00800 0.0874149i −0.176728 0.00308480i
\(804\) −2.57493 + 1.73681i −0.0908109 + 0.0612527i
\(805\) −36.6903 + 19.9383i −1.29316 + 0.702733i
\(806\) 8.02053 0.842992i 0.282511 0.0296931i
\(807\) 0.202555 2.31521i 0.00713028 0.0814994i
\(808\) 9.11358 + 15.1675i 0.320615 + 0.533592i
\(809\) −2.72177 + 12.8049i −0.0956922 + 0.450196i 0.904049 + 0.427430i \(0.140581\pi\)
−0.999741 + 0.0227667i \(0.992752\pi\)
\(810\) 3.56270 1.26306i 0.125181 0.0443795i
\(811\) −40.8470 31.9132i −1.43433 1.12062i −0.972294 0.233763i \(-0.924896\pi\)
−0.462038 0.886860i \(-0.652882\pi\)
\(812\) −6.72122 5.06480i −0.235869 0.177740i
\(813\) 9.59994 31.4000i 0.336684 1.10125i
\(814\) 2.76384 0.0965154i 0.0968725 0.00338286i
\(815\) −5.07949 + 4.19028i −0.177927 + 0.146779i
\(816\) 6.15033 1.99836i 0.215304 0.0699567i
\(817\) 2.64132 0.436289i 0.0924079 0.0152638i
\(818\) −6.81137 6.81137i −0.238154 0.238154i
\(819\) 19.0126 + 1.32949i 0.664355 + 0.0464562i
\(820\) −5.91338 17.6521i −0.206504 0.616439i
\(821\) −19.7693 + 40.5332i −0.689955 + 1.41462i 0.209591 + 0.977789i \(0.432787\pi\)
−0.899545 + 0.436828i \(0.856102\pi\)
\(822\) 0.477009 27.3279i 0.0166376 0.953168i
\(823\) −6.97844 + 0.856845i −0.243253 + 0.0298677i −0.242577 0.970132i \(-0.577993\pi\)
−0.000675652 1.00000i \(0.500215\pi\)
\(824\) −6.43372 + 3.71451i −0.224129 + 0.129401i
\(825\) 5.36744 + 0.560239i 0.186870 + 0.0195050i
\(826\) 4.47466 3.75468i 0.155693 0.130642i
\(827\) −9.91301 + 23.3536i −0.344709 + 0.812084i 0.653756 + 0.756705i \(0.273192\pi\)
−0.998465 + 0.0553788i \(0.982363\pi\)
\(828\) −6.54927 2.51403i −0.227603 0.0873686i
\(829\) −2.09397 + 19.9228i −0.0727265 + 0.691947i 0.896040 + 0.443973i \(0.146431\pi\)
−0.968767 + 0.247974i \(0.920235\pi\)
\(830\) 21.9257 5.67877i 0.761051 0.197113i
\(831\) −13.9875 + 6.82217i −0.485222 + 0.236658i
\(832\) 1.62060 2.31446i 0.0561843 0.0802395i
\(833\) 58.6132 11.3933i 2.03083 0.394753i
\(834\) −10.1229 4.08992i −0.350528 0.141622i
\(835\) 32.6359 4.30854i 1.12941 0.149103i
\(836\) 0.662586 3.90887i 0.0229160 0.135191i
\(837\) 13.8579 + 7.06094i 0.478998 + 0.244062i
\(838\) 7.35964 + 17.3382i 0.254234 + 0.598939i
\(839\) 0.747557 + 21.4072i 0.0258085 + 0.739060i 0.941467 + 0.337104i \(0.109447\pi\)
−0.915659 + 0.401956i \(0.868330\pi\)
\(840\) 3.56396 10.6643i 0.122968 0.367953i
\(841\) −24.8118 + 3.48708i −0.855581 + 0.120244i
\(842\) 3.93031 7.09046i 0.135447 0.244353i
\(843\) −5.24141 + 19.5612i −0.180524 + 0.673724i
\(844\) −0.405004 3.85336i −0.0139408 0.132638i
\(845\) 11.2073 0.493360i 0.385544 0.0169721i
\(846\) 0.776895 + 11.1101i 0.0267102 + 0.381974i
\(847\) 15.4483 40.2441i 0.530809 1.38281i
\(848\) −4.36130 + 6.71582i −0.149768 + 0.230622i
\(849\) 2.32309 + 0.845536i 0.0797282 + 0.0290187i
\(850\) 20.5516 17.8912i 0.704914 0.613663i
\(851\) 13.1960 2.32681i 0.452352 0.0797619i
\(852\) −10.4159 9.71296i −0.356842 0.332760i
\(853\) −8.35273 + 13.9013i −0.285992 + 0.475971i −0.966464 0.256804i \(-0.917331\pi\)
0.680472 + 0.732774i \(0.261775\pi\)
\(854\) −31.0479 22.5576i −1.06244 0.771907i
\(855\) −9.74312 12.0748i −0.333208 0.412949i
\(856\) −3.46832 + 2.51988i −0.118545 + 0.0861277i
\(857\) −1.62613 18.5867i −0.0555474 0.634910i −0.972033 0.234843i \(-0.924542\pi\)
0.916486 0.400067i \(-0.131013\pi\)
\(858\) −0.581881 2.99352i −0.0198651 0.102197i
\(859\) 6.97076 + 13.1101i 0.237839 + 0.447311i 0.973071 0.230505i \(-0.0740378\pi\)
−0.735232 + 0.677816i \(0.762927\pi\)
\(860\) 0.367481 + 1.32325i 0.0125310 + 0.0451224i
\(861\) −25.7744 + 32.9897i −0.878388 + 1.12429i
\(862\) −1.08439 20.6914i −0.0369345 0.704752i
\(863\) 17.7436 11.5229i 0.604001 0.392243i −0.206102 0.978531i \(-0.566078\pi\)
0.810103 + 0.586288i \(0.199411\pi\)
\(864\) 5.05217 2.04121i 0.171878 0.0694433i
\(865\) −48.4228 5.49944i −1.64642 0.186987i
\(866\) −23.0056 4.89000i −0.781763 0.166169i
\(867\) −5.40017 14.0679i −0.183399 0.477771i
\(868\) 10.9621 5.11170i 0.372077 0.173503i
\(869\) −3.45317 7.08005i −0.117141 0.240174i
\(870\) 2.35307 + 4.71529i 0.0797766 + 0.159863i
\(871\) 7.10877 + 2.03841i 0.240871 + 0.0690687i
\(872\) −10.2645 6.16754i −0.347600 0.208859i
\(873\) −0.263686 0.517512i −0.00892440 0.0175151i
\(874\) 0.543284 19.2018i 0.0183769 0.649510i
\(875\) −3.76811 47.2271i −0.127385 1.59657i
\(876\) 4.20045 5.00590i 0.141920 0.169134i
\(877\) 17.4213 18.6820i 0.588275 0.630848i −0.365700 0.930733i \(-0.619170\pi\)
0.953975 + 0.299885i \(0.0969483\pi\)
\(878\) 16.4891 5.67764i 0.556479 0.191611i
\(879\) −15.0951 15.6314i −0.509144 0.527234i
\(880\) 2.03006 + 0.123431i 0.0684335 + 0.00416087i
\(881\) 46.0416 + 20.4990i 1.55118 + 0.690630i 0.990514 0.137411i \(-0.0438780\pi\)
0.560667 + 0.828041i \(0.310545\pi\)
\(882\) 16.8472 4.51420i 0.567275 0.152001i
\(883\) −16.6691 + 10.0158i −0.560960 + 0.337059i −0.767165 0.641450i \(-0.778333\pi\)
0.206205 + 0.978509i \(0.433889\pi\)
\(884\) −13.0579 8.15948i −0.439184 0.274433i
\(885\) −3.55628 + 0.855139i −0.119543 + 0.0287452i
\(886\) 2.18324 + 10.2713i 0.0733472 + 0.345072i
\(887\) 2.16151 2.01564i 0.0725765 0.0676787i −0.644870 0.764292i \(-0.723089\pi\)
0.717447 + 0.696614i \(0.245311\pi\)
\(888\) −2.17139 + 2.88154i −0.0728672 + 0.0966980i
\(889\) −43.3165 6.08774i −1.45279 0.204176i
\(890\) −24.6638 24.2197i −0.826734 0.811845i
\(891\) 0.575977 1.42559i 0.0192960 0.0477592i
\(892\) −25.9305 4.10699i −0.868218 0.137512i
\(893\) −27.9928 + 12.1016i −0.936743 + 0.404964i
\(894\) 9.70087 + 13.3521i 0.324446 + 0.446561i
\(895\) 13.3300 + 22.6113i 0.445573 + 0.755812i
\(896\) 1.16802 4.07339i 0.0390210 0.136082i
\(897\) −4.81050 13.9707i −0.160618 0.466468i
\(898\) −8.13776 26.6174i −0.271561 0.888235i
\(899\) −1.93883 + 5.32690i −0.0646638 + 0.177662i
\(900\) 5.62400 5.63209i 0.187467 0.187736i
\(901\) 37.7925 + 21.8195i 1.25905 + 0.726913i
\(902\) −6.97044 2.95878i −0.232090 0.0985164i
\(903\) 2.02614 2.33081i 0.0674258 0.0775645i
\(904\) 4.51793 + 10.1474i 0.150264 + 0.337499i
\(905\) 7.05647 53.7486i 0.234565 1.78666i
\(906\) 3.87558 + 13.5158i 0.128758 + 0.449031i
\(907\) 46.1157 32.2906i 1.53125 1.07219i 0.561682 0.827353i \(-0.310154\pi\)
0.969564 0.244837i \(-0.0787346\pi\)
\(908\) 8.08126 0.141059i 0.268186 0.00468121i
\(909\) 22.1965 17.3418i 0.736211 0.575191i
\(910\) −24.9058 + 9.82100i −0.825619 + 0.325563i
\(911\) −25.8266 8.39156i −0.855672 0.278025i −0.151852 0.988403i \(-0.548524\pi\)
−0.703820 + 0.710379i \(0.748524\pi\)
\(912\) 3.41924 + 3.88119i 0.113222 + 0.128519i
\(913\) 4.18253 8.20868i 0.138422 0.271668i
\(914\) −10.3070 + 6.44054i −0.340926 + 0.213034i
\(915\) 11.1039 + 21.3117i 0.367084 + 0.704543i
\(916\) −21.1252 + 11.2325i −0.697997 + 0.371131i
\(917\) 26.9042 + 9.26384i 0.888453 + 0.305919i
\(918\) −12.5495 26.9126i −0.414197 0.888247i
\(919\) −22.4958 + 50.5264i −0.742068 + 1.66671i 0.00324366 + 0.999995i \(0.498968\pi\)
−0.745311 + 0.666717i \(0.767699\pi\)
\(920\) 9.82360 0.776688i 0.323874 0.0256066i
\(921\) −2.40401 + 0.168105i −0.0792147 + 0.00553923i
\(922\) 11.3898 + 9.90096i 0.375102 + 0.326071i
\(923\) −1.77472 + 33.8636i −0.0584155 + 1.11463i
\(924\) −2.28683 3.96091i −0.0752313 0.130304i
\(925\) −3.66726 + 14.7538i −0.120579 + 0.485101i
\(926\) −7.81451 1.37791i −0.256801 0.0452809i
\(927\) 7.11700 + 9.44457i 0.233753 + 0.310200i
\(928\) 0.962846 + 1.73702i 0.0316070 + 0.0570205i
\(929\) 28.0288 6.98837i 0.919595 0.229281i 0.246763 0.969076i \(-0.420633\pi\)
0.672832 + 0.739795i \(0.265078\pi\)
\(930\) −7.57126 0.195536i −0.248271 0.00641189i
\(931\) 26.9682 + 39.4166i 0.883849 + 1.29183i
\(932\) 9.31866 9.31866i 0.305243 0.305243i
\(933\) 2.86429 2.48989i 0.0937726 0.0815153i
\(934\) 2.38265 + 3.04965i 0.0779627 + 0.0997877i
\(935\) 0.0927361 11.0832i 0.00303280 0.362458i
\(936\) −3.97121 2.11153i −0.129803 0.0690175i
\(937\) −30.3012 32.4940i −0.989896 1.06153i −0.998103 0.0615668i \(-0.980390\pi\)
0.00820735 0.999966i \(-0.497387\pi\)
\(938\) 11.0761 0.580472i 0.361646 0.0189531i
\(939\) −4.90322 5.44558i −0.160011 0.177710i
\(940\) −7.70859 13.6135i −0.251426 0.444022i
\(941\) −3.48312 + 5.57415i −0.113546 + 0.181712i −0.899940 0.436013i \(-0.856390\pi\)
0.786394 + 0.617725i \(0.211946\pi\)
\(942\) −8.53758 6.91360i −0.278169 0.225257i
\(943\) −35.4397 9.49605i −1.15408 0.309234i
\(944\) −1.32505 + 0.379953i −0.0431269 + 0.0123664i
\(945\) −50.5982 10.2754i −1.64596 0.334258i
\(946\) 0.502083 + 0.244882i 0.0163241 + 0.00796180i
\(947\) 44.7273 24.7927i 1.45344 0.805656i 0.456961 0.889486i \(-0.348938\pi\)
0.996480 + 0.0838307i \(0.0267155\pi\)
\(948\) 10.0138 + 2.31186i 0.325233 + 0.0750859i
\(949\) −15.5593 −0.505075
\(950\) 19.6584 + 9.41004i 0.637801 + 0.305302i
\(951\) 13.7155 0.444756
\(952\) −22.5012 5.19481i −0.729267 0.168365i
\(953\) 22.0691 12.2331i 0.714889 0.396270i −0.0850291 0.996378i \(-0.527098\pi\)
0.799918 + 0.600109i \(0.204876\pi\)
\(954\) 11.4570 + 5.58794i 0.370933 + 0.180916i
\(955\) 51.2476 23.3771i 1.65833 0.756466i
\(956\) −12.4012 + 3.55600i −0.401085 + 0.115009i
\(957\) 2.07052 + 0.554795i 0.0669305 + 0.0179340i
\(958\) 8.78658 + 7.11523i 0.283881 + 0.229883i
\(959\) −51.7215 + 82.7717i −1.67017 + 2.67284i
\(960\) −1.79193 + 1.95697i −0.0578344 + 0.0631608i
\(961\) 15.2915 + 16.9830i 0.493275 + 0.547837i
\(962\) 8.57908 0.449611i 0.276601 0.0144960i
\(963\) 4.65422 + 4.99104i 0.149980 + 0.160834i
\(964\) 8.03574 + 4.27268i 0.258814 + 0.137614i
\(965\) 51.4781 + 17.2037i 1.65714 + 0.553808i
\(966\) −13.6433 17.4626i −0.438965 0.561850i
\(967\) −8.34754 + 7.25641i −0.268439 + 0.233350i −0.779820 0.626004i \(-0.784690\pi\)
0.511381 + 0.859354i \(0.329134\pi\)
\(968\) −7.19320 + 7.19320i −0.231198 + 0.231198i
\(969\) 20.1469 19.7150i 0.647211 0.633338i
\(970\) 0.647453 + 0.496439i 0.0207885 + 0.0159397i
\(971\) 1.47073 0.366694i 0.0471980 0.0117678i −0.218251 0.975893i \(-0.570035\pi\)
0.265449 + 0.964125i \(0.414480\pi\)
\(972\) −6.95258 12.5428i −0.223004 0.402310i
\(973\) 23.4635 + 31.1371i 0.752204 + 0.998208i
\(974\) −5.58594 0.984953i −0.178985 0.0315599i
\(975\) 16.7013 + 1.44908i 0.534870 + 0.0464076i
\(976\) 4.52826 + 7.84317i 0.144946 + 0.251054i
\(977\) 0.692479 13.2133i 0.0221544 0.422731i −0.964928 0.262516i \(-0.915448\pi\)
0.987082 0.160215i \(-0.0512188\pi\)
\(978\) −2.63732 2.29258i −0.0843321 0.0733088i
\(979\) −14.0264 + 0.980824i −0.448287 + 0.0313473i
\(980\) −18.6242 + 15.9182i −0.594930 + 0.508488i
\(981\) −7.75333 + 17.4143i −0.247545 + 0.555994i
\(982\) 13.9618 + 29.9411i 0.445537 + 0.955458i
\(983\) −9.22685 3.17706i −0.294291 0.101333i 0.174456 0.984665i \(-0.444183\pi\)
−0.468747 + 0.883332i \(0.655294\pi\)
\(984\) 8.72302 4.63811i 0.278080 0.147858i
\(985\) −24.7269 + 25.1804i −0.787865 + 0.802315i
\(986\) 9.17854 5.73539i 0.292304 0.182652i
\(987\) −15.9720 + 31.3469i −0.508395 + 0.997782i
\(988\) 1.84604 12.1766i 0.0587302 0.387391i
\(989\) 2.57415 + 0.836392i 0.0818532 + 0.0265957i
\(990\) −0.198808 3.23142i −0.00631854 0.102701i
\(991\) −31.9467 + 24.9595i −1.01482 + 0.792864i −0.978452 0.206475i \(-0.933801\pi\)
−0.0363674 + 0.999338i \(0.511579\pi\)
\(992\) −2.85389 + 0.0498149i −0.0906111 + 0.00158162i
\(993\) −5.18949 + 3.63372i −0.164684 + 0.115313i
\(994\) 14.0183 + 48.8877i 0.444634 + 1.55062i
\(995\) 25.6089 27.0056i 0.811858 0.856136i
\(996\) 4.88882 + 10.9805i 0.154908 + 0.347929i
\(997\) −34.1715 + 39.3098i −1.08222 + 1.24495i −0.114368 + 0.993438i \(0.536484\pi\)
−0.967853 + 0.251515i \(0.919071\pi\)
\(998\) 30.2623 + 12.8456i 0.957935 + 0.406619i
\(999\) 14.3481 + 8.28387i 0.453953 + 0.262090i
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 950.2.bi.a.3.17 2400
19.13 odd 18 inner 950.2.bi.a.203.34 yes 2400
25.17 odd 20 inner 950.2.bi.a.117.34 yes 2400
475.317 even 180 inner 950.2.bi.a.317.17 yes 2400
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
950.2.bi.a.3.17 2400 1.1 even 1 trivial
950.2.bi.a.117.34 yes 2400 25.17 odd 20 inner
950.2.bi.a.203.34 yes 2400 19.13 odd 18 inner
950.2.bi.a.317.17 yes 2400 475.317 even 180 inner