Properties

Label 576.2.bm.a.13.11
Level $576$
Weight $2$
Character 576.13
Analytic conductor $4.599$
Analytic rank $0$
Dimension $1504$
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] = [576,2,Mod(13,576)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(576, base_ring=CyclotomicField(48))
 
chi = DirichletCharacter(H, H._module([0, 45, 16]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("576.13");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 576 = 2^{6} \cdot 3^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 576.bm (of order \(48\), degree \(16\), 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: \(4.59938315643\)
Analytic rank: \(0\)
Dimension: \(1504\)
Relative dimension: \(94\) over \(\Q(\zeta_{48})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{48}]$

Embedding invariants

Embedding label 13.11
Character \(\chi\) \(=\) 576.13
Dual form 576.2.bm.a.133.11

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-1.32727 + 0.488210i) q^{2} +(1.62021 + 0.612310i) q^{3} +(1.52330 - 1.29597i) q^{4} +(-1.15808 + 3.41160i) q^{5} +(-2.44939 - 0.0217003i) q^{6} +(-0.367980 + 0.479561i) q^{7} +(-1.38913 + 2.46380i) q^{8} +(2.25015 + 1.98414i) q^{9} +O(q^{10})\) \(q+(-1.32727 + 0.488210i) q^{2} +(1.62021 + 0.612310i) q^{3} +(1.52330 - 1.29597i) q^{4} +(-1.15808 + 3.41160i) q^{5} +(-2.44939 - 0.0217003i) q^{6} +(-0.367980 + 0.479561i) q^{7} +(-1.38913 + 2.46380i) q^{8} +(2.25015 + 1.98414i) q^{9} +(-0.128487 - 5.09351i) q^{10} +(6.36992 + 0.417507i) q^{11} +(3.26161 - 1.16702i) q^{12} +(1.08253 - 1.23439i) q^{13} +(0.254283 - 0.816159i) q^{14} +(-3.96529 + 4.81840i) q^{15} +(0.640898 - 3.94832i) q^{16} +(-2.48259 - 2.48259i) q^{17} +(-3.95524 - 1.53495i) q^{18} +(-0.360105 + 1.81037i) q^{19} +(2.65724 + 6.69774i) q^{20} +(-0.889844 + 0.551671i) q^{21} +(-8.65845 + 2.55571i) q^{22} +(-2.62573 + 2.01479i) q^{23} +(-3.75929 + 3.14130i) q^{24} +(-6.33108 - 4.85801i) q^{25} +(-0.834172 + 2.16687i) q^{26} +(2.43081 + 4.59251i) q^{27} +(0.0609541 + 1.20741i) q^{28} +(-3.49761 + 7.09246i) q^{29} +(2.91063 - 8.33122i) q^{30} +(-2.49879 - 1.44268i) q^{31} +(1.07696 + 5.55339i) q^{32} +(10.0650 + 4.57682i) q^{33} +(4.50711 + 2.08305i) q^{34} +(-1.20992 - 1.81077i) q^{35} +(5.99906 + 0.106305i) q^{36} +(-1.97845 - 9.94633i) q^{37} +(-0.405883 - 2.57866i) q^{38} +(2.50976 - 1.33712i) q^{39} +(-6.79678 - 7.59243i) q^{40} +(3.13877 - 2.40846i) q^{41} +(0.911734 - 1.16665i) q^{42} +(-0.440949 + 6.72758i) q^{43} +(10.2444 - 7.61927i) q^{44} +(-9.37495 + 5.37882i) q^{45} +(2.50141 - 3.95608i) q^{46} +(-0.285202 + 1.06439i) q^{47} +(3.45599 - 6.00468i) q^{48} +(1.71716 + 6.40854i) q^{49} +(10.7748 + 3.35700i) q^{50} +(-2.50220 - 5.54244i) q^{51} +(0.0492833 - 3.28328i) q^{52} +(0.409002 - 0.612115i) q^{53} +(-5.46845 - 4.90877i) q^{54} +(-8.80125 + 21.2481i) q^{55} +(-0.670372 - 1.57280i) q^{56} +(-1.69195 + 2.71268i) q^{57} +(1.17968 - 11.1212i) q^{58} +(3.21697 - 9.47690i) q^{59} +(0.204184 + 12.4788i) q^{60} +(12.0237 + 5.92942i) q^{61} +(4.02090 + 0.694891i) q^{62} +(-1.77953 + 0.348961i) q^{63} +(-4.14064 - 6.84508i) q^{64} +(2.95758 + 5.12269i) q^{65} +(-15.5934 - 1.16087i) q^{66} +(-0.632139 - 9.64458i) q^{67} +(-6.99912 - 0.564361i) q^{68} +(-5.48790 + 1.65662i) q^{69} +(2.48993 + 1.81269i) q^{70} +(0.0723646 + 0.174704i) q^{71} +(-8.01428 + 2.78770i) q^{72} +(-2.42727 + 5.85995i) q^{73} +(7.48184 + 12.2356i) q^{74} +(-7.28306 - 11.7476i) q^{75} +(1.79764 + 3.22442i) q^{76} +(-2.54422 + 2.90113i) q^{77} +(-2.67833 + 3.00002i) q^{78} +(-4.53833 - 1.21604i) q^{79} +(12.7279 + 6.75897i) q^{80} +(1.12637 + 8.92924i) q^{81} +(-2.99017 + 4.72907i) q^{82} +(-9.25847 + 3.14283i) q^{83} +(-0.640550 + 1.99358i) q^{84} +(11.3447 - 5.59457i) q^{85} +(-2.69921 - 9.14460i) q^{86} +(-10.0096 + 9.34964i) q^{87} +(-9.87729 + 15.1143i) q^{88} +(-4.84513 + 2.00692i) q^{89} +(9.81712 - 11.7161i) q^{90} +(0.193615 + 0.973370i) q^{91} +(-1.38866 + 6.47201i) q^{92} +(-3.16519 - 3.86747i) q^{93} +(-0.141104 - 1.55197i) q^{94} +(-5.75922 - 3.32509i) q^{95} +(-1.65549 + 9.65709i) q^{96} +(10.5978 - 6.11862i) q^{97} +(-5.40786 - 7.66754i) q^{98} +(13.5049 + 13.5783i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1504 q - 8 q^{2} - 16 q^{3} - 8 q^{4} - 8 q^{5} - 16 q^{6} - 8 q^{7} - 32 q^{8} - 16 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 1504 q - 8 q^{2} - 16 q^{3} - 8 q^{4} - 8 q^{5} - 16 q^{6} - 8 q^{7} - 32 q^{8} - 16 q^{9} - 32 q^{10} - 8 q^{11} - 16 q^{12} - 8 q^{13} - 8 q^{14} - 16 q^{15} - 8 q^{16} - 32 q^{17} - 16 q^{18} - 32 q^{19} - 8 q^{20} - 16 q^{21} - 8 q^{22} - 8 q^{23} + 64 q^{24} - 8 q^{25} - 32 q^{26} - 16 q^{27} - 32 q^{28} - 8 q^{29} - 96 q^{30} - 8 q^{32} - 8 q^{34} - 32 q^{35} - 96 q^{36} - 32 q^{37} - 8 q^{38} - 16 q^{39} - 8 q^{40} - 8 q^{41} + 64 q^{42} - 8 q^{43} - 32 q^{44} - 16 q^{45} - 32 q^{46} - 8 q^{47} - 16 q^{48} - 8 q^{49} - 8 q^{50} - 16 q^{51} - 8 q^{52} - 32 q^{53} - 16 q^{54} - 32 q^{55} - 8 q^{56} - 16 q^{57} - 80 q^{58} - 8 q^{59} - 16 q^{60} - 8 q^{61} - 64 q^{62} - 32 q^{63} - 32 q^{64} - 16 q^{65} - 32 q^{66} - 8 q^{67} - 8 q^{68} - 16 q^{69} - 8 q^{70} - 32 q^{71} - 16 q^{72} - 32 q^{73} - 8 q^{74} - 16 q^{75} + 40 q^{76} - 8 q^{77} - 40 q^{78} - 8 q^{79} - 160 q^{80} - 16 q^{81} - 32 q^{82} - 8 q^{83} - 128 q^{84} - 8 q^{85} - 216 q^{86} - 16 q^{87} - 8 q^{88} - 32 q^{89} - 160 q^{90} - 32 q^{91} + 144 q^{92} - 40 q^{93} - 8 q^{94} - 152 q^{96} - 304 q^{98} - 16 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/576\mathbb{Z}\right)^\times\).

\(n\) \(65\) \(127\) \(325\)
\(\chi(n)\) \(e\left(\frac{1}{3}\right)\) \(1\) \(e\left(\frac{15}{16}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.32727 + 0.488210i −0.938523 + 0.345217i
\(3\) 1.62021 + 0.612310i 0.935428 + 0.353518i
\(4\) 1.52330 1.29597i 0.761651 0.647987i
\(5\) −1.15808 + 3.41160i −0.517910 + 1.52571i 0.302050 + 0.953292i \(0.402329\pi\)
−0.819960 + 0.572421i \(0.806004\pi\)
\(6\) −2.44939 0.0217003i −0.999961 0.00885913i
\(7\) −0.367980 + 0.479561i −0.139083 + 0.181257i −0.857702 0.514148i \(-0.828108\pi\)
0.718618 + 0.695405i \(0.244775\pi\)
\(8\) −1.38913 + 2.46380i −0.491131 + 0.871086i
\(9\) 2.25015 + 1.98414i 0.750051 + 0.661380i
\(10\) −0.128487 5.09351i −0.0406312 1.61071i
\(11\) 6.36992 + 0.417507i 1.92060 + 0.125883i 0.978076 0.208246i \(-0.0667756\pi\)
0.942527 + 0.334129i \(0.108442\pi\)
\(12\) 3.26161 1.16702i 0.941545 0.336889i
\(13\) 1.08253 1.23439i 0.300240 0.342358i −0.581973 0.813208i \(-0.697719\pi\)
0.882214 + 0.470850i \(0.156053\pi\)
\(14\) 0.254283 0.816159i 0.0679600 0.218128i
\(15\) −3.96529 + 4.81840i −1.02383 + 1.24410i
\(16\) 0.640898 3.94832i 0.160225 0.987081i
\(17\) −2.48259 2.48259i −0.602118 0.602118i 0.338756 0.940874i \(-0.389994\pi\)
−0.940874 + 0.338756i \(0.889994\pi\)
\(18\) −3.95524 1.53495i −0.932259 0.361791i
\(19\) −0.360105 + 1.81037i −0.0826137 + 0.415327i 0.917242 + 0.398331i \(0.130410\pi\)
−0.999856 + 0.0169963i \(0.994590\pi\)
\(20\) 2.65724 + 6.69774i 0.594176 + 1.49766i
\(21\) −0.889844 + 0.551671i −0.194180 + 0.120384i
\(22\) −8.65845 + 2.55571i −1.84599 + 0.544880i
\(23\) −2.62573 + 2.01479i −0.547502 + 0.420113i −0.845124 0.534571i \(-0.820473\pi\)
0.297622 + 0.954684i \(0.403807\pi\)
\(24\) −3.75929 + 3.14130i −0.767362 + 0.641214i
\(25\) −6.33108 4.85801i −1.26622 0.971602i
\(26\) −0.834172 + 2.16687i −0.163595 + 0.424959i
\(27\) 2.43081 + 4.59251i 0.467809 + 0.883830i
\(28\) 0.0609541 + 1.20741i 0.0115192 + 0.228179i
\(29\) −3.49761 + 7.09246i −0.649491 + 1.31704i 0.284134 + 0.958784i \(0.408294\pi\)
−0.933625 + 0.358252i \(0.883373\pi\)
\(30\) 2.91063 8.33122i 0.531406 1.52106i
\(31\) −2.49879 1.44268i −0.448796 0.259112i 0.258526 0.966004i \(-0.416763\pi\)
−0.707322 + 0.706892i \(0.750097\pi\)
\(32\) 1.07696 + 5.55339i 0.190382 + 0.981710i
\(33\) 10.0650 + 4.57682i 1.75208 + 0.796722i
\(34\) 4.50711 + 2.08305i 0.772962 + 0.357240i
\(35\) −1.20992 1.81077i −0.204513 0.306076i
\(36\) 5.99906 + 0.106305i 0.999843 + 0.0177176i
\(37\) −1.97845 9.94633i −0.325255 1.63517i −0.704382 0.709822i \(-0.748776\pi\)
0.379127 0.925345i \(-0.376224\pi\)
\(38\) −0.405883 2.57866i −0.0658429 0.418314i
\(39\) 2.50976 1.33712i 0.401883 0.214111i
\(40\) −6.79678 7.59243i −1.07467 1.20047i
\(41\) 3.13877 2.40846i 0.490194 0.376139i −0.333885 0.942614i \(-0.608360\pi\)
0.824079 + 0.566475i \(0.191693\pi\)
\(42\) 0.911734 1.16665i 0.140684 0.180018i
\(43\) −0.440949 + 6.72758i −0.0672441 + 1.02595i 0.822287 + 0.569072i \(0.192698\pi\)
−0.889531 + 0.456874i \(0.848969\pi\)
\(44\) 10.2444 7.61927i 1.54440 1.14865i
\(45\) −9.37495 + 5.37882i −1.39754 + 0.801827i
\(46\) 2.50141 3.95608i 0.368813 0.583292i
\(47\) −0.285202 + 1.06439i −0.0416010 + 0.155257i −0.983602 0.180353i \(-0.942276\pi\)
0.942001 + 0.335610i \(0.108943\pi\)
\(48\) 3.45599 6.00468i 0.498829 0.866701i
\(49\) 1.71716 + 6.40854i 0.245309 + 0.915506i
\(50\) 10.7748 + 3.35700i 1.52379 + 0.474752i
\(51\) −2.50220 5.54244i −0.350379 0.776097i
\(52\) 0.0492833 3.28328i 0.00683436 0.455309i
\(53\) 0.409002 0.612115i 0.0561807 0.0840804i −0.802316 0.596900i \(-0.796399\pi\)
0.858496 + 0.512819i \(0.171399\pi\)
\(54\) −5.46845 4.90877i −0.744162 0.667999i
\(55\) −8.80125 + 21.2481i −1.18676 + 2.86509i
\(56\) −0.670372 1.57280i −0.0895822 0.210174i
\(57\) −1.69195 + 2.71268i −0.224104 + 0.359303i
\(58\) 1.17968 11.1212i 0.154899 1.46028i
\(59\) 3.21697 9.47690i 0.418814 1.23379i −0.509007 0.860762i \(-0.669987\pi\)
0.927821 0.373025i \(-0.121679\pi\)
\(60\) 0.204184 + 12.4788i 0.0263601 + 1.61100i
\(61\) 12.0237 + 5.92942i 1.53947 + 0.759185i 0.996737 0.0807179i \(-0.0257213\pi\)
0.542737 + 0.839903i \(0.317388\pi\)
\(62\) 4.02090 + 0.694891i 0.510655 + 0.0882512i
\(63\) −1.77953 + 0.348961i −0.224199 + 0.0439649i
\(64\) −4.14064 6.84508i −0.517581 0.855634i
\(65\) 2.95758 + 5.12269i 0.366843 + 0.635391i
\(66\) −15.5934 1.16087i −1.91941 0.142893i
\(67\) −0.632139 9.64458i −0.0772281 1.17827i −0.843996 0.536349i \(-0.819803\pi\)
0.766768 0.641924i \(-0.221864\pi\)
\(68\) −6.99912 0.564361i −0.848768 0.0684389i
\(69\) −5.48790 + 1.65662i −0.660666 + 0.199434i
\(70\) 2.48993 + 1.81269i 0.297603 + 0.216658i
\(71\) 0.0723646 + 0.174704i 0.00858810 + 0.0207335i 0.928115 0.372293i \(-0.121428\pi\)
−0.919527 + 0.393026i \(0.871428\pi\)
\(72\) −8.01428 + 2.78770i −0.944492 + 0.328534i
\(73\) −2.42727 + 5.85995i −0.284090 + 0.685855i −0.999923 0.0124172i \(-0.996047\pi\)
0.715833 + 0.698272i \(0.246047\pi\)
\(74\) 7.48184 + 12.2356i 0.869746 + 1.42236i
\(75\) −7.28306 11.7476i −0.840976 1.35649i
\(76\) 1.79764 + 3.22442i 0.206204 + 0.369867i
\(77\) −2.54422 + 2.90113i −0.289941 + 0.330614i
\(78\) −2.67833 + 3.00002i −0.303261 + 0.339685i
\(79\) −4.53833 1.21604i −0.510602 0.136815i −0.00568592 0.999984i \(-0.501810\pi\)
−0.504916 + 0.863168i \(0.668477\pi\)
\(80\) 12.7279 + 6.75897i 1.42302 + 0.755675i
\(81\) 1.12637 + 8.92924i 0.125152 + 0.992138i
\(82\) −2.99017 + 4.72907i −0.330209 + 0.522238i
\(83\) −9.25847 + 3.14283i −1.01625 + 0.344970i −0.779367 0.626568i \(-0.784459\pi\)
−0.236882 + 0.971538i \(0.576126\pi\)
\(84\) −0.640550 + 1.99358i −0.0698898 + 0.217517i
\(85\) 11.3447 5.59457i 1.23050 0.606816i
\(86\) −2.69921 9.14460i −0.291064 0.986088i
\(87\) −10.0096 + 9.34964i −1.07315 + 1.00239i
\(88\) −9.87729 + 15.1143i −1.05292 + 1.61119i
\(89\) −4.84513 + 2.00692i −0.513583 + 0.212733i −0.624396 0.781108i \(-0.714655\pi\)
0.110813 + 0.993841i \(0.464655\pi\)
\(90\) 9.81712 11.7161i 1.03482 1.23499i
\(91\) 0.193615 + 0.973370i 0.0202964 + 0.102037i
\(92\) −1.38866 + 6.47201i −0.144777 + 0.674754i
\(93\) −3.16519 3.86747i −0.328215 0.401038i
\(94\) −0.141104 1.55197i −0.0145538 0.160074i
\(95\) −5.75922 3.32509i −0.590883 0.341147i
\(96\) −1.65549 + 9.65709i −0.168963 + 0.985622i
\(97\) 10.5978 6.11862i 1.07604 0.621251i 0.146214 0.989253i \(-0.453291\pi\)
0.929825 + 0.368002i \(0.119958\pi\)
\(98\) −5.40786 7.66754i −0.546276 0.774539i
\(99\) 13.5049 + 13.5783i 1.35729 + 1.36467i
\(100\) −15.9400 + 0.804706i −1.59400 + 0.0804706i
\(101\) 6.12728 5.37348i 0.609687 0.534681i −0.297872 0.954606i \(-0.596277\pi\)
0.907559 + 0.419925i \(0.137943\pi\)
\(102\) 6.02698 + 6.13472i 0.596760 + 0.607428i
\(103\) 1.29586 9.84304i 0.127685 0.969864i −0.800914 0.598779i \(-0.795653\pi\)
0.928599 0.371084i \(-0.121014\pi\)
\(104\) 1.53752 + 4.38187i 0.150766 + 0.429678i
\(105\) −0.851566 3.67467i −0.0831043 0.358611i
\(106\) −0.244016 + 1.01212i −0.0237010 + 0.0983059i
\(107\) −1.26716 0.846692i −0.122501 0.0818528i 0.492810 0.870137i \(-0.335970\pi\)
−0.615311 + 0.788284i \(0.710970\pi\)
\(108\) 9.65463 + 3.84552i 0.929018 + 0.370036i
\(109\) 2.07004 10.4068i 0.198274 0.996791i −0.745577 0.666420i \(-0.767826\pi\)
0.943851 0.330372i \(-0.107174\pi\)
\(110\) 1.30812 32.4989i 0.124724 3.09865i
\(111\) 2.88474 17.3266i 0.273808 1.64456i
\(112\) 1.65762 + 1.76025i 0.156631 + 0.166328i
\(113\) −4.81557 17.9720i −0.453011 1.69066i −0.693870 0.720100i \(-0.744096\pi\)
0.240859 0.970560i \(-0.422571\pi\)
\(114\) 0.921324 4.42649i 0.0862899 0.414579i
\(115\) −3.83285 11.2912i −0.357415 1.05291i
\(116\) 3.86373 + 15.3368i 0.358738 + 1.42398i
\(117\) 4.88506 0.629671i 0.451624 0.0582131i
\(118\) 0.356917 + 14.1490i 0.0328569 + 1.30252i
\(119\) 2.10410 0.277010i 0.192883 0.0253935i
\(120\) −6.36328 16.4631i −0.580885 1.50286i
\(121\) 29.4957 + 3.88318i 2.68143 + 0.353017i
\(122\) −18.8535 1.99988i −1.70692 0.181060i
\(123\) 6.56019 1.98031i 0.591513 0.178559i
\(124\) −5.67608 + 1.04074i −0.509727 + 0.0934609i
\(125\) 8.92740 5.96510i 0.798491 0.533534i
\(126\) 2.19155 1.33195i 0.195239 0.118659i
\(127\) 10.7518 0.954068 0.477034 0.878885i \(-0.341712\pi\)
0.477034 + 0.878885i \(0.341712\pi\)
\(128\) 8.83760 + 7.06377i 0.781141 + 0.624355i
\(129\) −4.83380 + 10.6301i −0.425592 + 0.935927i
\(130\) −6.42646 5.35528i −0.563638 0.469689i
\(131\) 0.622948 + 9.50435i 0.0544272 + 0.830399i 0.934590 + 0.355727i \(0.115767\pi\)
−0.880163 + 0.474672i \(0.842567\pi\)
\(132\) 21.2634 6.07206i 1.85074 0.528505i
\(133\) −0.735670 0.838871i −0.0637907 0.0727394i
\(134\) 5.54760 + 12.4924i 0.479240 + 1.07918i
\(135\) −18.4829 + 2.97443i −1.59075 + 0.255998i
\(136\) 9.56527 2.66798i 0.820215 0.228777i
\(137\) 17.0654 2.24671i 1.45800 0.191949i 0.640535 0.767929i \(-0.278713\pi\)
0.817464 + 0.575980i \(0.195379\pi\)
\(138\) 6.47516 4.87804i 0.551202 0.415246i
\(139\) −0.929463 1.88477i −0.0788360 0.159864i 0.853886 0.520461i \(-0.174240\pi\)
−0.932722 + 0.360597i \(0.882573\pi\)
\(140\) −4.18978 1.19033i −0.354101 0.100601i
\(141\) −1.11382 + 1.54990i −0.0938009 + 0.130525i
\(142\) −0.181339 0.196550i −0.0152177 0.0164941i
\(143\) 7.41100 7.41100i 0.619739 0.619739i
\(144\) 9.27615 7.61269i 0.773012 0.634391i
\(145\) −20.1461 20.1461i −1.67304 1.67304i
\(146\) 0.360762 8.96276i 0.0298569 0.741763i
\(147\) −1.14185 + 11.4346i −0.0941785 + 0.943111i
\(148\) −15.9040 12.5872i −1.30730 1.03467i
\(149\) −1.64334 + 0.810404i −0.134627 + 0.0663909i −0.508355 0.861148i \(-0.669746\pi\)
0.373727 + 0.927539i \(0.378080\pi\)
\(150\) 15.4019 + 12.0366i 1.25756 + 0.982781i
\(151\) 1.76769 + 13.4269i 0.143852 + 1.09267i 0.899261 + 0.437412i \(0.144105\pi\)
−0.755409 + 0.655254i \(0.772562\pi\)
\(152\) −3.96016 3.40206i −0.321211 0.275944i
\(153\) −0.660398 10.5120i −0.0533900 0.849848i
\(154\) 1.96052 5.09270i 0.157983 0.410382i
\(155\) 7.81564 6.85413i 0.627767 0.550537i
\(156\) 2.09024 5.28943i 0.167353 0.423493i
\(157\) 8.45413 0.554113i 0.674713 0.0442230i 0.275804 0.961214i \(-0.411056\pi\)
0.398908 + 0.916991i \(0.369389\pi\)
\(158\) 6.61728 0.601640i 0.526443 0.0478639i
\(159\) 1.03747 0.741317i 0.0822769 0.0587903i
\(160\) −20.1931 2.75711i −1.59641 0.217969i
\(161\) 2.00060i 0.157669i
\(162\) −5.85434 11.3016i −0.459961 0.887939i
\(163\) −8.65144 12.9478i −0.677633 1.01415i −0.997768 0.0667774i \(-0.978728\pi\)
0.320135 0.947372i \(-0.396272\pi\)
\(164\) 1.65999 7.73659i 0.129623 0.604126i
\(165\) −27.2703 + 29.0373i −2.12299 + 2.26055i
\(166\) 10.7541 8.69146i 0.834684 0.674588i
\(167\) −1.40764 + 10.6921i −0.108927 + 0.827380i 0.846549 + 0.532311i \(0.178676\pi\)
−0.955476 + 0.295069i \(0.904657\pi\)
\(168\) −0.123099 2.95874i −0.00949733 0.228272i
\(169\) 1.34500 + 10.2163i 0.103461 + 0.785865i
\(170\) −12.3261 + 12.9641i −0.945371 + 0.994300i
\(171\) −4.40232 + 3.35911i −0.336653 + 0.256877i
\(172\) 8.04708 + 10.8196i 0.613584 + 0.824986i
\(173\) 5.84982 1.98575i 0.444754 0.150974i −0.0900733 0.995935i \(-0.528710\pi\)
0.534827 + 0.844962i \(0.320377\pi\)
\(174\) 8.72094 17.2963i 0.661133 1.31123i
\(175\) 4.65942 1.24849i 0.352219 0.0943768i
\(176\) 5.73092 24.8829i 0.431985 1.87562i
\(177\) 11.0150 13.3848i 0.827936 1.00606i
\(178\) 5.45101 5.02917i 0.408570 0.376952i
\(179\) −23.0206 4.57909i −1.72064 0.342257i −0.766646 0.642070i \(-0.778076\pi\)
−0.953998 + 0.299813i \(0.903076\pi\)
\(180\) −7.31007 + 20.3433i −0.544860 + 1.51630i
\(181\) 12.6356 18.9105i 0.939196 1.40561i 0.0252895 0.999680i \(-0.491949\pi\)
0.913906 0.405925i \(-0.133051\pi\)
\(182\) −0.732189 1.19740i −0.0542735 0.0887574i
\(183\) 15.8502 + 16.9691i 1.17168 + 1.25439i
\(184\) −1.31657 9.26807i −0.0970592 0.683251i
\(185\) 36.2241 + 4.76899i 2.66325 + 0.350623i
\(186\) 6.08921 + 3.58791i 0.446483 + 0.263078i
\(187\) −14.7774 16.8504i −1.08063 1.23223i
\(188\) 0.944973 + 1.99100i 0.0689192 + 0.145209i
\(189\) −3.09688 0.524234i −0.225265 0.0381324i
\(190\) 9.26739 + 1.60159i 0.672327 + 0.116191i
\(191\) −4.57425 7.92284i −0.330981 0.573276i 0.651723 0.758457i \(-0.274046\pi\)
−0.982705 + 0.185180i \(0.940713\pi\)
\(192\) −2.51740 13.6258i −0.181678 0.983358i
\(193\) 7.48600 12.9661i 0.538854 0.933323i −0.460112 0.887861i \(-0.652191\pi\)
0.998966 0.0454621i \(-0.0144760\pi\)
\(194\) −11.0789 + 13.2950i −0.795421 + 0.954525i
\(195\) 1.65523 + 10.1108i 0.118533 + 0.724048i
\(196\) 10.9211 + 7.53675i 0.780076 + 0.538339i
\(197\) −2.00507 + 0.398833i −0.142855 + 0.0284157i −0.266000 0.963973i \(-0.585702\pi\)
0.123145 + 0.992389i \(0.460702\pi\)
\(198\) −24.5537 11.4288i −1.74496 0.812212i
\(199\) 10.0293 + 24.2130i 0.710961 + 1.71641i 0.697586 + 0.716501i \(0.254257\pi\)
0.0133748 + 0.999911i \(0.495743\pi\)
\(200\) 20.7639 8.85013i 1.46823 0.625799i
\(201\) 4.88128 16.0133i 0.344299 1.12949i
\(202\) −5.50918 + 10.1235i −0.387625 + 0.712285i
\(203\) −2.11421 4.28720i −0.148389 0.300902i
\(204\) −10.9945 5.20002i −0.769767 0.364074i
\(205\) 4.58176 + 13.4974i 0.320004 + 0.942701i
\(206\) 3.08551 + 13.6970i 0.214978 + 0.954318i
\(207\) −9.90591 0.676225i −0.688508 0.0470009i
\(208\) −4.17998 5.06530i −0.289829 0.351215i
\(209\) −3.04968 + 11.3816i −0.210951 + 0.787279i
\(210\) 2.92427 + 4.46154i 0.201794 + 0.307876i
\(211\) 7.83779 + 6.87356i 0.539576 + 0.473195i 0.885222 0.465170i \(-0.154007\pi\)
−0.345646 + 0.938365i \(0.612340\pi\)
\(212\) −0.170252 1.46249i −0.0116929 0.100444i
\(213\) 0.0102729 + 0.327366i 0.000703890 + 0.0224307i
\(214\) 2.09524 + 0.505149i 0.143227 + 0.0345312i
\(215\) −22.4411 9.29543i −1.53047 0.633943i
\(216\) −14.6917 0.390565i −0.999647 0.0265746i
\(217\) 1.61136 0.667445i 0.109386 0.0453091i
\(218\) 2.33320 + 14.8233i 0.158024 + 1.00396i
\(219\) −7.52079 + 8.00809i −0.508208 + 0.541137i
\(220\) 14.1300 + 43.7735i 0.952647 + 2.95121i
\(221\) −5.75198 + 0.377004i −0.386920 + 0.0253601i
\(222\) 4.63016 + 24.4054i 0.310756 + 1.63798i
\(223\) 3.19269 1.84330i 0.213799 0.123437i −0.389277 0.921121i \(-0.627275\pi\)
0.603076 + 0.797684i \(0.293942\pi\)
\(224\) −3.05949 1.52707i −0.204421 0.102031i
\(225\) −4.60692 23.4930i −0.307128 1.56620i
\(226\) 15.1657 + 21.5027i 1.00881 + 1.43034i
\(227\) 4.50220 9.12955i 0.298821 0.605950i −0.694738 0.719263i \(-0.744480\pi\)
0.993559 + 0.113313i \(0.0361463\pi\)
\(228\) 0.938209 + 6.32496i 0.0621344 + 0.418880i
\(229\) −3.19956 1.08610i −0.211433 0.0717717i 0.213714 0.976896i \(-0.431444\pi\)
−0.425146 + 0.905125i \(0.639777\pi\)
\(230\) 10.5997 + 13.1153i 0.698925 + 0.864796i
\(231\) −5.89856 + 3.14258i −0.388097 + 0.206767i
\(232\) −12.6158 18.4698i −0.828267 1.21260i
\(233\) −12.2699 5.08235i −0.803826 0.332956i −0.0573385 0.998355i \(-0.518261\pi\)
−0.746488 + 0.665399i \(0.768261\pi\)
\(234\) −6.17640 + 3.22068i −0.403764 + 0.210543i
\(235\) −3.30098 2.20564i −0.215332 0.143880i
\(236\) −7.38140 18.6053i −0.480488 1.21110i
\(237\) −6.60845 4.74911i −0.429265 0.308488i
\(238\) −2.65747 + 1.39491i −0.172258 + 0.0904186i
\(239\) −12.5429 + 3.36085i −0.811331 + 0.217395i −0.640553 0.767914i \(-0.721295\pi\)
−0.170778 + 0.985310i \(0.554628\pi\)
\(240\) 16.4832 + 18.7443i 1.06399 + 1.20994i
\(241\) −2.29515 0.614982i −0.147843 0.0396145i 0.184138 0.982900i \(-0.441051\pi\)
−0.331982 + 0.943286i \(0.607717\pi\)
\(242\) −41.0446 + 9.24605i −2.63845 + 0.594359i
\(243\) −3.64251 + 15.1569i −0.233667 + 0.972317i
\(244\) 26.0001 6.55008i 1.66448 0.419326i
\(245\) −23.8520 1.56334i −1.52385 0.0998783i
\(246\) −7.74035 + 5.83116i −0.493507 + 0.371781i
\(247\) 1.84488 + 2.40429i 0.117387 + 0.152981i
\(248\) 7.02561 4.15246i 0.446127 0.263682i
\(249\) −16.9250 0.577021i −1.07258 0.0365672i
\(250\) −8.93686 + 12.2757i −0.565217 + 0.776386i
\(251\) 19.6782 3.91424i 1.24208 0.247064i 0.470042 0.882644i \(-0.344239\pi\)
0.772035 + 0.635580i \(0.219239\pi\)
\(252\) −2.25851 + 2.83779i −0.142273 + 0.178764i
\(253\) −17.5669 + 11.7378i −1.10442 + 0.737949i
\(254\) −14.2706 + 5.24914i −0.895415 + 0.329360i
\(255\) 21.8063 2.11791i 1.36557 0.132629i
\(256\) −15.1785 5.06095i −0.948656 0.316309i
\(257\) −3.88692 + 6.73235i −0.242460 + 0.419952i −0.961414 0.275105i \(-0.911287\pi\)
0.718955 + 0.695057i \(0.244621\pi\)
\(258\) 1.22605 16.4689i 0.0763304 1.02531i
\(259\) 5.49790 + 2.71126i 0.341623 + 0.168470i
\(260\) 11.1442 + 3.97044i 0.691132 + 0.246236i
\(261\) −21.9426 + 9.01935i −1.35821 + 0.558284i
\(262\) −5.46694 12.3107i −0.337749 0.760559i
\(263\) −3.43414 + 4.47546i −0.211758 + 0.275968i −0.887141 0.461499i \(-0.847312\pi\)
0.675383 + 0.737467i \(0.263978\pi\)
\(264\) −25.2579 + 18.4403i −1.55452 + 1.13492i
\(265\) 1.61463 + 2.10423i 0.0991860 + 0.129262i
\(266\) 1.38598 + 0.754249i 0.0849799 + 0.0462460i
\(267\) −9.07898 + 0.284904i −0.555625 + 0.0174358i
\(268\) −13.4621 13.8724i −0.822327 0.847390i
\(269\) 14.1324 + 2.81110i 0.861666 + 0.171396i 0.606093 0.795394i \(-0.292736\pi\)
0.255573 + 0.966790i \(0.417736\pi\)
\(270\) 23.0797 12.9714i 1.40458 0.789414i
\(271\) 10.4145 10.4145i 0.632634 0.632634i −0.316094 0.948728i \(-0.602372\pi\)
0.948728 + 0.316094i \(0.102372\pi\)
\(272\) −11.3932 + 8.21099i −0.690813 + 0.497865i
\(273\) −0.282307 + 1.69562i −0.0170860 + 0.102623i
\(274\) −21.5536 + 11.3135i −1.30210 + 0.683474i
\(275\) −38.3002 33.5884i −2.30959 2.02546i
\(276\) −6.21279 + 9.63572i −0.373966 + 0.580002i
\(277\) 0.0681281 1.03943i 0.00409342 0.0624535i −0.995323 0.0965979i \(-0.969204\pi\)
0.999417 + 0.0341443i \(0.0108706\pi\)
\(278\) 2.15381 + 2.04782i 0.129177 + 0.122820i
\(279\) −2.76018 8.20419i −0.165248 0.491172i
\(280\) 6.14211 0.465606i 0.367061 0.0278253i
\(281\) 10.0597 + 7.71908i 0.600112 + 0.460482i 0.863598 0.504181i \(-0.168206\pi\)
−0.263486 + 0.964663i \(0.584872\pi\)
\(282\) 0.721670 2.60092i 0.0429748 0.154882i
\(283\) 13.7906 + 4.68127i 0.819765 + 0.278273i 0.699649 0.714487i \(-0.253340\pi\)
0.120117 + 0.992760i \(0.461673\pi\)
\(284\) 0.336645 + 0.172344i 0.0199762 + 0.0102267i
\(285\) −7.29515 8.91376i −0.432127 0.528006i
\(286\) −6.21829 + 13.4545i −0.367695 + 0.795584i
\(287\) 2.39150i 0.141166i
\(288\) −8.59538 + 14.6328i −0.506487 + 0.862247i
\(289\) 4.67345i 0.274909i
\(290\) 36.5749 + 16.9038i 2.14775 + 0.992627i
\(291\) 20.9171 3.42432i 1.22618 0.200737i
\(292\) 3.89688 + 12.0721i 0.228048 + 0.706469i
\(293\) 3.74314 + 1.27062i 0.218676 + 0.0742306i 0.428628 0.903481i \(-0.358997\pi\)
−0.209951 + 0.977712i \(0.567331\pi\)
\(294\) −4.06694 15.7343i −0.237189 0.917643i
\(295\) 28.6058 + 21.9500i 1.66550 + 1.27798i
\(296\) 27.2541 + 8.94222i 1.58411 + 0.519756i
\(297\) 13.5666 + 30.2688i 0.787216 + 1.75638i
\(298\) 1.78551 1.87792i 0.103432 0.108785i
\(299\) −0.355393 + 5.42224i −0.0205529 + 0.313576i
\(300\) −26.3189 8.45644i −1.51952 0.488233i
\(301\) −3.06402 2.68708i −0.176607 0.154881i
\(302\) −8.90135 16.9582i −0.512215 0.975832i
\(303\) 13.2177 4.95436i 0.759338 0.284621i
\(304\) 6.91713 + 2.58207i 0.396724 + 0.148092i
\(305\) −34.1532 + 34.1532i −1.95561 + 1.95561i
\(306\) 6.00861 + 13.6299i 0.343489 + 0.779170i
\(307\) 5.64307 + 1.12248i 0.322067 + 0.0640632i 0.353476 0.935443i \(-0.384999\pi\)
−0.0314091 + 0.999507i \(0.509999\pi\)
\(308\) −0.115828 + 7.71655i −0.00659992 + 0.439691i
\(309\) 8.12656 15.1543i 0.462304 0.862099i
\(310\) −7.02722 + 12.9130i −0.399119 + 0.733407i
\(311\) −7.41058 9.65766i −0.420216 0.547636i 0.534495 0.845172i \(-0.320502\pi\)
−0.954711 + 0.297536i \(0.903835\pi\)
\(312\) −0.191962 + 8.04098i −0.0108677 + 0.455231i
\(313\) 0.761738 0.992717i 0.0430560 0.0561117i −0.771329 0.636436i \(-0.780408\pi\)
0.814385 + 0.580325i \(0.197074\pi\)
\(314\) −10.9504 + 4.86285i −0.617967 + 0.274426i
\(315\) 0.870324 6.47516i 0.0490372 0.364834i
\(316\) −8.48921 + 4.02916i −0.477555 + 0.226658i
\(317\) 2.94776 + 1.45367i 0.165562 + 0.0816464i 0.523182 0.852221i \(-0.324745\pi\)
−0.357619 + 0.933867i \(0.616411\pi\)
\(318\) −1.01509 + 1.49043i −0.0569234 + 0.0835794i
\(319\) −25.2407 + 43.7181i −1.41321 + 2.44775i
\(320\) 28.1478 6.19906i 1.57351 0.346538i
\(321\) −1.53463 2.14772i −0.0856548 0.119874i
\(322\) 0.976712 + 2.65534i 0.0544300 + 0.147976i
\(323\) 5.38840 3.60042i 0.299819 0.200333i
\(324\) 13.2879 + 12.1422i 0.738215 + 0.674566i
\(325\) −12.8503 + 2.55608i −0.712805 + 0.141786i
\(326\) 17.8041 + 12.9615i 0.986075 + 0.717872i
\(327\) 9.72609 15.5937i 0.537854 0.862333i
\(328\) 1.57382 + 11.0790i 0.0868999 + 0.611734i
\(329\) −0.405491 0.528446i −0.0223554 0.0291342i
\(330\) 22.0188 51.8540i 1.21210 2.85447i
\(331\) −2.37889 0.155921i −0.130756 0.00857017i −0.000115181 1.00000i \(-0.500037\pi\)
−0.130640 + 0.991430i \(0.541703\pi\)
\(332\) −10.0304 + 16.7862i −0.550491 + 0.921263i
\(333\) 15.2831 26.3063i 0.837509 1.44157i
\(334\) −3.35167 14.8786i −0.183395 0.814119i
\(335\) 33.6355 + 9.01260i 1.83770 + 0.492411i
\(336\) 1.60787 + 3.86696i 0.0877167 + 0.210960i
\(337\) −15.1372 + 4.05601i −0.824578 + 0.220945i −0.646347 0.763044i \(-0.723704\pi\)
−0.178231 + 0.983989i \(0.557037\pi\)
\(338\) −6.77285 12.9031i −0.368394 0.701836i
\(339\) 3.20219 32.0670i 0.173919 1.74164i
\(340\) 10.0309 23.2246i 0.544003 1.25953i
\(341\) −15.3148 10.2330i −0.829341 0.554148i
\(342\) 4.20312 6.60770i 0.227279 0.357304i
\(343\) −7.61439 3.15398i −0.411138 0.170299i
\(344\) −15.9629 10.4319i −0.860662 0.562449i
\(345\) 0.703709 20.6410i 0.0378864 1.11127i
\(346\) −6.79484 + 5.49157i −0.365293 + 0.295228i
\(347\) −23.2373 7.88802i −1.24745 0.423451i −0.381864 0.924218i \(-0.624718\pi\)
−0.865582 + 0.500767i \(0.833051\pi\)
\(348\) −3.13082 + 27.2146i −0.167830 + 1.45885i
\(349\) 2.82422 5.72695i 0.151177 0.306557i −0.808089 0.589060i \(-0.799498\pi\)
0.959266 + 0.282503i \(0.0911648\pi\)
\(350\) −5.57480 + 3.93186i −0.297985 + 0.210167i
\(351\) 8.30038 + 1.97098i 0.443041 + 0.105203i
\(352\) 4.54160 + 35.8243i 0.242068 + 1.90944i
\(353\) 8.93303 5.15749i 0.475457 0.274505i −0.243064 0.970010i \(-0.578153\pi\)
0.718521 + 0.695505i \(0.244819\pi\)
\(354\) −8.08529 + 23.1428i −0.429728 + 1.23003i
\(355\) −0.679822 + 0.0445579i −0.0360812 + 0.00236489i
\(356\) −4.77968 + 9.33631i −0.253323 + 0.494824i
\(357\) 3.57870 + 0.839548i 0.189405 + 0.0444336i
\(358\) 32.7902 5.16121i 1.73302 0.272778i
\(359\) 31.7049 13.1326i 1.67332 0.693112i 0.674348 0.738414i \(-0.264425\pi\)
0.998973 + 0.0453016i \(0.0144249\pi\)
\(360\) −0.229334 30.5699i −0.0120870 1.61117i
\(361\) 14.4060 + 5.96714i 0.758208 + 0.314060i
\(362\) −7.53857 + 31.2682i −0.396218 + 1.64342i
\(363\) 45.4115 + 24.3521i 2.38348 + 1.27815i
\(364\) 1.55640 + 1.23182i 0.0815774 + 0.0645647i
\(365\) −17.1808 15.0672i −0.899284 0.788651i
\(366\) −29.3220 14.7844i −1.53269 0.772793i
\(367\) −5.75054 + 21.4613i −0.300176 + 1.12027i 0.636843 + 0.770993i \(0.280240\pi\)
−0.937019 + 0.349278i \(0.886427\pi\)
\(368\) 6.27222 + 11.6585i 0.326962 + 0.607741i
\(369\) 11.8414 + 0.808355i 0.616441 + 0.0420813i
\(370\) −50.4075 + 11.3552i −2.62056 + 0.590329i
\(371\) 0.143042 + 0.421387i 0.00742635 + 0.0218773i
\(372\) −9.83370 1.78932i −0.509853 0.0927717i
\(373\) 5.71476 + 11.5884i 0.295899 + 0.600024i 0.993156 0.116797i \(-0.0372628\pi\)
−0.697256 + 0.716822i \(0.745596\pi\)
\(374\) 27.8402 + 15.1506i 1.43958 + 0.783420i
\(375\) 18.1167 4.19836i 0.935544 0.216802i
\(376\) −2.22626 2.18126i −0.114811 0.112490i
\(377\) 4.96859 + 11.9952i 0.255895 + 0.617786i
\(378\) 4.36633 0.816126i 0.224580 0.0419770i
\(379\) −10.1984 + 2.02858i −0.523855 + 0.104201i −0.449932 0.893063i \(-0.648552\pi\)
−0.0739228 + 0.997264i \(0.523552\pi\)
\(380\) −13.0823 + 2.39869i −0.671106 + 0.123050i
\(381\) 17.4202 + 6.58344i 0.892462 + 0.337280i
\(382\) 9.93928 + 8.28256i 0.508538 + 0.423773i
\(383\) −0.386027 + 0.668618i −0.0197250 + 0.0341648i −0.875719 0.482820i \(-0.839612\pi\)
0.855994 + 0.516985i \(0.172946\pi\)
\(384\) 9.99353 + 16.8561i 0.509980 + 0.860186i
\(385\) −6.95107 12.0396i −0.354259 0.613595i
\(386\) −3.60577 + 20.8643i −0.183529 + 1.06197i
\(387\) −14.3407 + 14.2632i −0.728977 + 0.725038i
\(388\) 8.21401 23.0549i 0.417003 1.17044i
\(389\) −18.5714 21.1766i −0.941606 1.07370i −0.997165 0.0752408i \(-0.976027\pi\)
0.0555591 0.998455i \(-0.482306\pi\)
\(390\) −7.13312 12.6117i −0.361200 0.638616i
\(391\) 11.5205 + 1.51671i 0.582618 + 0.0767031i
\(392\) −18.1747 4.67154i −0.917963 0.235948i
\(393\) −4.81031 + 15.7805i −0.242648 + 0.796019i
\(394\) 2.46656 1.50825i 0.124263 0.0759848i
\(395\) 9.40440 14.0747i 0.473187 0.708174i
\(396\) 38.1691 + 3.18180i 1.91807 + 0.159892i
\(397\) 0.191355 + 0.0380628i 0.00960382 + 0.00191032i 0.199890 0.979818i \(-0.435942\pi\)
−0.190286 + 0.981729i \(0.560942\pi\)
\(398\) −25.1327 27.2408i −1.25979 1.36546i
\(399\) −0.678290 1.80960i −0.0339570 0.0905936i
\(400\) −23.2386 + 21.8837i −1.16193 + 1.09418i
\(401\) 28.4606 7.62600i 1.42126 0.380824i 0.535326 0.844645i \(-0.320189\pi\)
0.885929 + 0.463821i \(0.153522\pi\)
\(402\) 1.33907 + 23.6371i 0.0667866 + 1.17891i
\(403\) −4.48584 + 1.52274i −0.223456 + 0.0758530i
\(404\) 2.36980 16.1262i 0.117902 0.802310i
\(405\) −31.7674 6.49807i −1.57853 0.322891i
\(406\) 4.89919 + 4.65810i 0.243143 + 0.231178i
\(407\) −8.44990 64.1833i −0.418846 3.18145i
\(408\) 17.1314 + 1.53423i 0.848129 + 0.0759555i
\(409\) −1.17656 + 8.93684i −0.0581770 + 0.441898i 0.937423 + 0.348193i \(0.113205\pi\)
−0.995600 + 0.0937055i \(0.970129\pi\)
\(410\) −12.6708 15.6779i −0.625767 0.774276i
\(411\) 29.0253 + 6.80921i 1.43171 + 0.335873i
\(412\) −10.7823 16.6733i −0.531208 0.821436i
\(413\) 3.36097 + 5.03004i 0.165382 + 0.247512i
\(414\) 13.4780 3.93863i 0.662406 0.193573i
\(415\) 35.2258i 1.72917i
\(416\) 8.02090 + 4.68232i 0.393257 + 0.229570i
\(417\) −0.351863 3.62283i −0.0172308 0.177411i
\(418\) −1.50884 16.5953i −0.0737996 0.811703i
\(419\) −22.1590 + 1.45238i −1.08254 + 0.0709532i −0.596214 0.802826i \(-0.703329\pi\)
−0.486323 + 0.873779i \(0.661662\pi\)
\(420\) −6.05947 4.49402i −0.295672 0.219286i
\(421\) −21.4104 + 18.7765i −1.04348 + 0.915109i −0.996484 0.0837864i \(-0.973299\pi\)
−0.0469977 + 0.998895i \(0.514965\pi\)
\(422\) −13.7586 5.29660i −0.669759 0.257834i
\(423\) −2.75365 + 1.82916i −0.133887 + 0.0889366i
\(424\) 0.939973 + 1.85801i 0.0456491 + 0.0902327i
\(425\) 3.65704 + 27.7780i 0.177392 + 1.34743i
\(426\) −0.173458 0.429488i −0.00840408 0.0208088i
\(427\) −7.26799 + 3.58418i −0.351723 + 0.173450i
\(428\) −3.02757 + 0.352445i −0.146343 + 0.0170361i
\(429\) 16.5452 7.46954i 0.798810 0.360633i
\(430\) 34.3236 + 1.38157i 1.65523 + 0.0666252i
\(431\) −4.56530 4.56530i −0.219903 0.219903i 0.588555 0.808458i \(-0.299697\pi\)
−0.808458 + 0.588555i \(0.799697\pi\)
\(432\) 19.6906 6.65427i 0.947366 0.320154i
\(433\) −27.1907 + 27.1907i −1.30670 + 1.30670i −0.382924 + 0.923780i \(0.625083\pi\)
−0.923780 + 0.382924i \(0.874917\pi\)
\(434\) −1.81285 + 1.67256i −0.0870198 + 0.0802855i
\(435\) −20.3052 44.9765i −0.973561 2.15646i
\(436\) −10.3337 18.5354i −0.494892 0.887686i
\(437\) −2.70198 5.47907i −0.129253 0.262099i
\(438\) 6.07250 14.3006i 0.290155 0.683311i
\(439\) −19.2186 + 2.53017i −0.917253 + 0.120759i −0.574348 0.818611i \(-0.694744\pi\)
−0.342905 + 0.939370i \(0.611411\pi\)
\(440\) −40.1251 51.2009i −1.91289 2.44091i
\(441\) −8.85157 + 17.8273i −0.421503 + 0.848919i
\(442\) 7.45038 3.30856i 0.354378 0.157372i
\(443\) −8.75639 9.98475i −0.416029 0.474390i 0.505429 0.862868i \(-0.331334\pi\)
−0.921458 + 0.388478i \(0.873001\pi\)
\(444\) −18.0604 30.1321i −0.857111 1.43001i
\(445\) −1.23574 18.8538i −0.0585799 0.893757i
\(446\) −3.33765 + 4.00527i −0.158043 + 0.189655i
\(447\) −3.15877 + 0.306792i −0.149405 + 0.0145107i
\(448\) 4.80630 + 0.533160i 0.227077 + 0.0251894i
\(449\) 15.6548 0.738798 0.369399 0.929271i \(-0.379564\pi\)
0.369399 + 0.929271i \(0.379564\pi\)
\(450\) 17.5842 + 28.9325i 0.828925 + 1.36389i
\(451\) 20.9993 14.0313i 0.988817 0.660707i
\(452\) −30.6268 21.1359i −1.44056 0.994148i
\(453\) −5.35741 + 22.8368i −0.251713 + 1.07296i
\(454\) −1.51850 + 14.3154i −0.0712668 + 0.671856i
\(455\) −3.54497 0.466704i −0.166191 0.0218794i
\(456\) −4.33317 7.93689i −0.202919 0.371679i
\(457\) −8.77536 + 1.15530i −0.410494 + 0.0540426i −0.332946 0.942946i \(-0.608043\pi\)
−0.0775484 + 0.996989i \(0.524709\pi\)
\(458\) 4.77693 0.120501i 0.223211 0.00563065i
\(459\) 5.36664 17.4361i 0.250493 0.813845i
\(460\) −20.4717 12.2326i −0.954499 0.570350i
\(461\) −11.9765 35.2818i −0.557803 1.64324i −0.749668 0.661814i \(-0.769787\pi\)
0.191865 0.981421i \(-0.438546\pi\)
\(462\) 6.29476 7.05080i 0.292859 0.328033i
\(463\) −8.81657 32.9039i −0.409741 1.52917i −0.795141 0.606424i \(-0.792603\pi\)
0.385400 0.922750i \(-0.374063\pi\)
\(464\) 25.7617 + 18.3553i 1.19596 + 0.852121i
\(465\) 16.8598 6.31952i 0.781855 0.293061i
\(466\) 18.7667 + 0.755384i 0.869351 + 0.0349925i
\(467\) −6.35442 + 31.9458i −0.294047 + 1.47828i 0.497658 + 0.867373i \(0.334193\pi\)
−0.791705 + 0.610903i \(0.790807\pi\)
\(468\) 6.62539 7.29010i 0.306259 0.336985i
\(469\) 4.85778 + 3.24586i 0.224311 + 0.149880i
\(470\) 5.45812 + 1.31592i 0.251764 + 0.0606988i
\(471\) 14.0367 + 4.27877i 0.646779 + 0.197155i
\(472\) 18.8804 + 21.0906i 0.869042 + 0.970774i
\(473\) −5.61762 + 42.6701i −0.258298 + 1.96197i
\(474\) 11.0898 + 3.07705i 0.509370 + 0.141334i
\(475\) 11.0746 9.71220i 0.508139 0.445626i
\(476\) 2.84618 3.14883i 0.130455 0.144326i
\(477\) 2.13484 0.565834i 0.0977475 0.0259077i
\(478\) 15.0070 10.5843i 0.686404 0.484115i
\(479\) 2.35163 1.35772i 0.107449 0.0620356i −0.445313 0.895375i \(-0.646907\pi\)
0.552761 + 0.833340i \(0.313574\pi\)
\(480\) −31.0289 16.8316i −1.41627 0.768252i
\(481\) −14.4194 8.32503i −0.657467 0.379589i
\(482\) 3.34652 0.304264i 0.152430 0.0138588i
\(483\) 1.22499 3.24139i 0.0557388 0.147488i
\(484\) 49.9634 32.3104i 2.27106 1.46866i
\(485\) 8.60120 + 43.2411i 0.390560 + 1.96348i
\(486\) −2.56515 21.8957i −0.116358 0.993207i
\(487\) −36.0842 + 14.9465i −1.63513 + 0.677293i −0.995793 0.0916345i \(-0.970791\pi\)
−0.639336 + 0.768927i \(0.720791\pi\)
\(488\) −31.3114 + 21.3872i −1.41740 + 0.968155i
\(489\) −6.08907 26.2755i −0.275357 1.18822i
\(490\) 32.4213 9.56980i 1.46465 0.432319i
\(491\) −6.39424 + 3.15329i −0.288568 + 0.142306i −0.580812 0.814038i \(-0.697265\pi\)
0.292244 + 0.956344i \(0.405598\pi\)
\(492\) 7.42672 11.5185i 0.334822 0.519292i
\(493\) 26.2909 8.92454i 1.18408 0.401941i
\(494\) −3.62245 2.29046i −0.162982 0.103053i
\(495\) −61.9634 + 30.3485i −2.78505 + 1.36407i
\(496\) −7.29762 + 8.94142i −0.327673 + 0.401482i
\(497\) −0.110410 0.0295842i −0.00495255 0.00132703i
\(498\) 22.7458 7.49711i 1.01927 0.335953i
\(499\) 17.7266 20.2133i 0.793552 0.904873i −0.203694 0.979035i \(-0.565295\pi\)
0.997246 + 0.0741616i \(0.0236281\pi\)
\(500\) 5.86851 20.6563i 0.262448 0.923779i
\(501\) −8.82756 + 16.4615i −0.394386 + 0.735447i
\(502\) −24.2073 + 14.8023i −1.08043 + 0.660661i
\(503\) −11.2364 + 27.1270i −0.501005 + 1.20953i 0.447933 + 0.894067i \(0.352160\pi\)
−0.948937 + 0.315465i \(0.897840\pi\)
\(504\) 1.61222 4.86915i 0.0718140 0.216889i
\(505\) 11.2363 + 27.1267i 0.500007 + 1.20712i
\(506\) 17.5855 24.1556i 0.781770 1.07385i
\(507\) −4.07634 + 17.3760i −0.181037 + 0.771696i
\(508\) 16.3782 13.9341i 0.726667 0.618224i
\(509\) −1.89246 28.8734i −0.0838820 1.27979i −0.807614 0.589711i \(-0.799242\pi\)
0.723732 0.690081i \(-0.242425\pi\)
\(510\) −27.9089 + 13.4571i −1.23583 + 0.595891i
\(511\) −1.91701 3.32037i −0.0848037 0.146884i
\(512\) 22.6168 0.693042i 0.999531 0.0306284i
\(513\) −9.18948 + 2.74687i −0.405726 + 0.121277i
\(514\) 1.87220 10.8333i 0.0825794 0.477836i
\(515\) 32.0798 + 15.8200i 1.41360 + 0.697112i
\(516\) 6.41299 + 22.4573i 0.282316 + 0.988628i
\(517\) −2.26111 + 6.66100i −0.0994433 + 0.292951i
\(518\) −8.62087 0.914455i −0.378779 0.0401789i
\(519\) 10.6938 + 0.364582i 0.469407 + 0.0160034i
\(520\) −16.7297 + 0.170834i −0.733648 + 0.00749159i
\(521\) −2.98459 + 7.20543i −0.130757 + 0.315675i −0.975676 0.219220i \(-0.929649\pi\)
0.844918 + 0.534895i \(0.179649\pi\)
\(522\) 24.7205 22.6837i 1.08199 0.992840i
\(523\) −9.45030 + 14.1434i −0.413233 + 0.618447i −0.978447 0.206498i \(-0.933793\pi\)
0.565214 + 0.824944i \(0.308793\pi\)
\(524\) 13.2663 + 13.6707i 0.579543 + 0.597206i
\(525\) 8.31370 + 0.830200i 0.362839 + 0.0362329i
\(526\) 2.37307 7.61673i 0.103471 0.332105i
\(527\) 2.62190 + 9.78506i 0.114212 + 0.426244i
\(528\) 24.5214 36.8064i 1.06716 1.60179i
\(529\) −3.11778 + 11.6357i −0.135556 + 0.505901i
\(530\) −3.17036 2.00460i −0.137712 0.0870745i
\(531\) 26.0422 14.9415i 1.13013 0.648407i
\(532\) −2.20780 0.324444i −0.0957204 0.0140664i
\(533\) 0.424834 6.48171i 0.0184016 0.280754i
\(534\) 11.9112 4.81059i 0.515447 0.208175i
\(535\) 4.35605 3.34252i 0.188329 0.144510i
\(536\) 24.6405 + 11.8401i 1.06431 + 0.511414i
\(537\) −34.4944 21.5149i −1.48854 0.928435i
\(538\) −20.1299 + 3.16847i −0.867862 + 0.136602i
\(539\) 8.26259 + 41.5388i 0.355895 + 1.78920i
\(540\) −24.3002 + 28.4843i −1.04572 + 1.22577i
\(541\) −17.1245 25.6286i −0.736239 1.10186i −0.990870 0.134822i \(-0.956954\pi\)
0.254631 0.967038i \(-0.418046\pi\)
\(542\) −8.73838 + 18.9073i −0.375346 + 0.812137i
\(543\) 32.0514 22.9020i 1.37546 0.982821i
\(544\) 11.1132 16.4605i 0.476473 0.705737i
\(545\) 33.1066 + 19.1141i 1.41813 + 0.818757i
\(546\) −0.453118 2.38837i −0.0193917 0.102213i
\(547\) −12.1924 + 24.7238i −0.521310 + 1.05711i 0.463920 + 0.885877i \(0.346442\pi\)
−0.985230 + 0.171235i \(0.945224\pi\)
\(548\) 23.0841 25.5388i 0.986106 1.09096i
\(549\) 15.2903 + 37.1988i 0.652574 + 1.58760i
\(550\) 67.2330 + 25.8824i 2.86683 + 1.10363i
\(551\) −11.5805 8.88599i −0.493344 0.378556i
\(552\) 3.54181 15.8224i 0.150749 0.673444i
\(553\) 2.25318 1.72893i 0.0958150 0.0735214i
\(554\) 0.417038 + 1.41287i 0.0177182 + 0.0600272i
\(555\) 55.7705 + 29.9071i 2.36732 + 1.26949i
\(556\) −3.85846 1.66651i −0.163635 0.0706756i
\(557\) 1.46802 7.38024i 0.0622020 0.312711i −0.937141 0.348951i \(-0.886538\pi\)
0.999343 + 0.0362400i \(0.0115381\pi\)
\(558\) 7.66888 + 9.54165i 0.324650 + 0.403930i
\(559\) 7.82712 + 7.82712i 0.331052 + 0.331052i
\(560\) −7.92494 + 3.61663i −0.334890 + 0.152830i
\(561\) −13.6248 36.3496i −0.575241 1.53468i
\(562\) −17.1205 5.33407i −0.722185 0.225004i
\(563\) −13.7007 + 15.6227i −0.577416 + 0.658417i −0.964641 0.263569i \(-0.915100\pi\)
0.387225 + 0.921985i \(0.373434\pi\)
\(564\) 0.311942 + 3.80445i 0.0131351 + 0.160196i
\(565\) 66.8899 + 4.38420i 2.81408 + 0.184445i
\(566\) −20.5893 + 0.519379i −0.865433 + 0.0218311i
\(567\) −4.69659 2.74562i −0.197238 0.115305i
\(568\) −0.530959 0.0643936i −0.0222785 0.00270190i
\(569\) −17.4941 + 22.7988i −0.733393 + 0.955776i −0.999968 0.00803819i \(-0.997441\pi\)
0.266575 + 0.963814i \(0.414108\pi\)
\(570\) 14.0344 + 8.26942i 0.587838 + 0.346368i
\(571\) 7.98564 23.5249i 0.334189 0.984488i −0.641839 0.766840i \(-0.721828\pi\)
0.976027 0.217648i \(-0.0698385\pi\)
\(572\) 1.68472 20.8937i 0.0704418 0.873608i
\(573\) −2.56001 15.6375i −0.106946 0.653266i
\(574\) −1.16755 3.17417i −0.0487327 0.132487i
\(575\) 26.4116 1.10144
\(576\) 4.26451 23.6181i 0.177688 0.984087i
\(577\) −11.6077 −0.483235 −0.241618 0.970372i \(-0.577678\pi\)
−0.241618 + 0.970372i \(0.577678\pi\)
\(578\) 2.28162 + 6.20294i 0.0949030 + 0.258008i
\(579\) 20.0682 16.4241i 0.834005 0.682562i
\(580\) −56.7974 4.57976i −2.35838 0.190164i
\(581\) 1.89975 5.59650i 0.0788151 0.232182i
\(582\) −26.0908 + 14.7569i −1.08150 + 0.611694i
\(583\) 2.86087 3.72836i 0.118485 0.154413i
\(584\) −11.0660 14.1205i −0.457913 0.584312i
\(585\) −3.50912 + 17.3951i −0.145084 + 0.719198i
\(586\) −5.58849 + 0.140973i −0.230858 + 0.00582355i
\(587\) −0.183263 0.0120117i −0.00756408 0.000495776i 0.0616206 0.998100i \(-0.480373\pi\)
−0.0691847 + 0.997604i \(0.522040\pi\)
\(588\) 13.0796 + 18.8982i 0.539393 + 0.779348i
\(589\) 3.51160 4.00421i 0.144693 0.164991i
\(590\) −48.6840 15.1680i −2.00429 0.624457i
\(591\) −3.49284 0.581532i −0.143676 0.0239210i
\(592\) −40.5393 + 1.43696i −1.66615 + 0.0590589i
\(593\) −5.33755 5.33755i −0.219187 0.219187i 0.588969 0.808156i \(-0.299534\pi\)
−0.808156 + 0.588969i \(0.799534\pi\)
\(594\) −32.7842 33.5516i −1.34515 1.37664i
\(595\) −1.49167 + 7.49914i −0.0611526 + 0.307435i
\(596\) −1.45304 + 3.36421i −0.0595187 + 0.137804i
\(597\) 1.42377 + 45.3711i 0.0582711 + 1.85692i
\(598\) −2.17549 7.37030i −0.0889624 0.301394i
\(599\) 37.5631 28.8232i 1.53479 1.17768i 0.612941 0.790129i \(-0.289986\pi\)
0.921846 0.387555i \(-0.126680\pi\)
\(600\) 39.0608 1.62514i 1.59465 0.0663460i
\(601\) −31.5101 24.1785i −1.28532 0.986263i −0.999609 0.0279474i \(-0.991103\pi\)
−0.285713 0.958315i \(-0.592230\pi\)
\(602\) 5.37865 + 2.07059i 0.219217 + 0.0843911i
\(603\) 17.7138 22.9560i 0.721361 0.934841i
\(604\) 20.0936 + 18.1624i 0.817599 + 0.739016i
\(605\) −47.4063 + 96.1304i −1.92734 + 3.90826i
\(606\) −15.1247 + 13.0288i −0.614400 + 0.529259i
\(607\) 1.40029 + 0.808456i 0.0568359 + 0.0328142i 0.528149 0.849152i \(-0.322886\pi\)
−0.471313 + 0.881966i \(0.656220\pi\)
\(608\) −10.4415 0.0501005i −0.423459 0.00203184i
\(609\) −0.800370 8.24071i −0.0324326 0.333931i
\(610\) 28.6567 62.0045i 1.16027 2.51049i
\(611\) 1.00513 + 1.50429i 0.0406633 + 0.0608569i
\(612\) −14.6293 15.1571i −0.591355 0.612691i
\(613\) −5.31886 26.7397i −0.214827 1.08001i −0.926154 0.377146i \(-0.876905\pi\)
0.711327 0.702861i \(-0.248095\pi\)
\(614\) −8.03790 + 1.26517i −0.324383 + 0.0510582i
\(615\) −0.841208 + 24.6741i −0.0339208 + 0.994956i
\(616\) −3.61356 10.2985i −0.145594 0.414939i
\(617\) −8.29949 + 6.36842i −0.334125 + 0.256383i −0.762174 0.647373i \(-0.775868\pi\)
0.428049 + 0.903756i \(0.359201\pi\)
\(618\) −3.38767 + 24.0814i −0.136272 + 0.968694i
\(619\) −1.18381 + 18.0614i −0.0475812 + 0.725948i 0.905710 + 0.423897i \(0.139338\pi\)
−0.953292 + 0.302052i \(0.902329\pi\)
\(620\) 3.02280 20.5698i 0.121398 0.826102i
\(621\) −15.6356 7.16112i −0.627434 0.287366i
\(622\) 14.5508 + 9.20042i 0.583435 + 0.368903i
\(623\) 0.820471 3.06204i 0.0328715 0.122678i
\(624\) −3.67090 10.7663i −0.146954 0.430996i
\(625\) −0.315223 1.17643i −0.0126089 0.0470571i
\(626\) −0.526380 + 1.68949i −0.0210384 + 0.0675257i
\(627\) −11.9102 + 16.5731i −0.475646 + 0.661868i
\(628\) 12.1601 11.8004i 0.485240 0.470888i
\(629\) −19.7810 + 29.6044i −0.788721 + 1.18040i
\(630\) 2.00608 + 9.01919i 0.0799241 + 0.359333i
\(631\) −3.01843 + 7.28714i −0.120162 + 0.290097i −0.972503 0.232889i \(-0.925182\pi\)
0.852341 + 0.522986i \(0.175182\pi\)
\(632\) 9.30041 9.49231i 0.369950 0.377584i
\(633\) 8.49011 + 15.9358i 0.337452 + 0.633390i
\(634\) −4.62217 0.490295i −0.183570 0.0194721i
\(635\) −12.4515 + 36.6808i −0.494121 + 1.45563i
\(636\) 0.619655 2.47379i 0.0245709 0.0980921i
\(637\) 9.76953 + 4.81780i 0.387083 + 0.190888i
\(638\) 12.1576 70.3486i 0.481325 2.78513i
\(639\) −0.183805 + 0.536691i −0.00727122 + 0.0212312i
\(640\) −34.3334 + 21.9699i −1.35715 + 0.868437i
\(641\) −8.57017 14.8440i −0.338501 0.586301i 0.645650 0.763634i \(-0.276587\pi\)
−0.984151 + 0.177332i \(0.943253\pi\)
\(642\) 3.08541 + 2.10138i 0.121771 + 0.0829349i
\(643\) 1.02285 + 15.6056i 0.0403371 + 0.615425i 0.969397 + 0.245497i \(0.0789511\pi\)
−0.929060 + 0.369928i \(0.879382\pi\)
\(644\) −2.59272 3.04751i −0.102168 0.120089i
\(645\) −30.6677 28.8015i −1.20754 1.13406i
\(646\) −5.39412 + 7.40940i −0.212229 + 0.291519i
\(647\) 13.1701 + 31.7954i 0.517769 + 1.25001i 0.939271 + 0.343177i \(0.111503\pi\)
−0.421502 + 0.906828i \(0.638497\pi\)
\(648\) −23.5646 9.62871i −0.925703 0.378251i
\(649\) 24.4485 59.0240i 0.959689 2.31689i
\(650\) 15.8079 9.66624i 0.620037 0.379141i
\(651\) 3.01942 0.0947511i 0.118340 0.00371359i
\(652\) −29.9588 8.51135i −1.17328 0.333330i
\(653\) 8.22938 9.38381i 0.322040 0.367217i −0.568055 0.822990i \(-0.692304\pi\)
0.890096 + 0.455774i \(0.150637\pi\)
\(654\) −5.29618 + 25.4454i −0.207097 + 0.994996i
\(655\) −33.1464 8.88156i −1.29514 0.347031i
\(656\) −7.49776 13.9365i −0.292738 0.544128i
\(657\) −17.0887 + 8.36973i −0.666693 + 0.326534i
\(658\) 0.796189 + 0.503427i 0.0310387 + 0.0196256i
\(659\) 9.51696 3.23057i 0.370728 0.125845i −0.129857 0.991533i \(-0.541452\pi\)
0.500585 + 0.865688i \(0.333118\pi\)
\(660\) −3.90934 + 79.5741i −0.152171 + 3.09742i
\(661\) −39.0662 + 19.2653i −1.51950 + 0.749334i −0.994790 0.101946i \(-0.967493\pi\)
−0.524710 + 0.851281i \(0.675826\pi\)
\(662\) 3.23355 0.954448i 0.125676 0.0370957i
\(663\) −9.55025 2.91117i −0.370901 0.113060i
\(664\) 5.11790 27.1768i 0.198613 1.05467i
\(665\) 3.71386 1.53833i 0.144017 0.0596539i
\(666\) −7.44186 + 42.3769i −0.288366 + 1.64207i
\(667\) −5.10604 25.6698i −0.197707 0.993939i
\(668\) 11.7124 + 18.1116i 0.453168 + 0.700758i
\(669\) 6.30150 1.03162i 0.243630 0.0398846i
\(670\) −49.0435 + 4.45901i −1.89472 + 0.172266i
\(671\) 74.1143 + 42.7899i 2.86115 + 1.65189i
\(672\) −4.02197 4.34752i −0.155151 0.167709i
\(673\) 4.08641 2.35929i 0.157520 0.0909440i −0.419168 0.907909i \(-0.637678\pi\)
0.576688 + 0.816965i \(0.304345\pi\)
\(674\) 18.1110 12.7736i 0.697611 0.492020i
\(675\) 6.92084 40.8845i 0.266383 1.57364i
\(676\) 15.2888 + 13.8194i 0.588032 + 0.531514i
\(677\) 23.3175 20.4489i 0.896163 0.785914i −0.0813725 0.996684i \(-0.525930\pi\)
0.977536 + 0.210770i \(0.0675970\pi\)
\(678\) 11.4052 + 44.1249i 0.438015 + 1.69461i
\(679\) −0.965512 + 7.33379i −0.0370530 + 0.281445i
\(680\) −1.97528 + 35.7226i −0.0757486 + 1.36990i
\(681\) 12.8846 12.0350i 0.493740 0.461184i
\(682\) 25.3227 + 6.10515i 0.969657 + 0.233778i
\(683\) −13.4132 8.96240i −0.513241 0.342937i 0.271827 0.962346i \(-0.412372\pi\)
−0.785068 + 0.619409i \(0.787372\pi\)
\(684\) −2.35274 + 10.8222i −0.0899593 + 0.413798i
\(685\) −12.0983 + 60.8223i −0.462252 + 2.32390i
\(686\) 11.6462 + 0.468773i 0.444653 + 0.0178978i
\(687\) −4.51892 3.71884i −0.172407 0.141882i
\(688\) 26.2801 + 6.05270i 1.00192 + 0.230757i
\(689\) −0.312831 1.16750i −0.0119179 0.0444783i
\(690\) 9.14313 + 27.7398i 0.348073 + 1.05604i
\(691\) 6.74088 + 19.8580i 0.256435 + 0.755434i 0.996553 + 0.0829566i \(0.0264363\pi\)
−0.740118 + 0.672477i \(0.765230\pi\)
\(692\) 6.33757 10.6061i 0.240918 0.403184i
\(693\) −11.4811 + 1.47989i −0.436132 + 0.0562163i
\(694\) 34.6933 0.875161i 1.31694 0.0332207i
\(695\) 7.50645 0.988244i 0.284736 0.0374862i
\(696\) −9.13097 37.6496i −0.346109 1.42711i
\(697\) −13.7715 1.81306i −0.521634 0.0686745i
\(698\) −0.952554 + 8.98004i −0.0360547 + 0.339899i
\(699\) −16.7678 15.7474i −0.634216 0.595623i
\(700\) 5.47970 7.94032i 0.207113 0.300116i
\(701\) 9.51404 6.35708i 0.359340 0.240103i −0.362774 0.931877i \(-0.618170\pi\)
0.722114 + 0.691774i \(0.243170\pi\)
\(702\) −11.9791 + 1.43631i −0.452122 + 0.0542099i
\(703\) 18.7190 0.705999
\(704\) −23.5177 45.3313i −0.886357 1.70849i
\(705\) −3.99774 5.59483i −0.150564 0.210713i
\(706\) −9.33863 + 11.2066i −0.351464 + 0.421765i
\(707\) 0.322194 + 4.91574i 0.0121174 + 0.184875i
\(708\) −0.567193 34.6642i −0.0213164 1.30276i
\(709\) −16.9546 19.3330i −0.636744 0.726067i 0.340012 0.940421i \(-0.389569\pi\)
−0.976756 + 0.214354i \(0.931235\pi\)
\(710\) 0.880556 0.391036i 0.0330467 0.0146753i
\(711\) −7.79913 11.7410i −0.292490 0.440321i
\(712\) 1.78586 14.7253i 0.0669278 0.551855i
\(713\) 9.46783 1.24646i 0.354573 0.0466804i
\(714\) −5.15978 + 0.632847i −0.193100 + 0.0236837i
\(715\) 16.7008 + 33.8659i 0.624575 + 1.26651i
\(716\) −41.0018 + 22.8588i −1.53231 + 0.854275i
\(717\) −22.3800 2.23485i −0.835795 0.0834619i
\(718\) −35.6696 + 32.9092i −1.33118 + 1.22816i
\(719\) −7.18948 + 7.18948i −0.268122 + 0.268122i −0.828343 0.560221i \(-0.810716\pi\)
0.560221 + 0.828343i \(0.310716\pi\)
\(720\) 15.2289 + 40.4626i 0.567548 + 1.50795i
\(721\) 4.24349 + 4.24349i 0.158036 + 0.158036i
\(722\) −22.0338 0.886890i −0.820015 0.0330066i
\(723\) −3.34205 2.40174i −0.124292 0.0893217i
\(724\) −5.25971 45.1818i −0.195475 1.67917i
\(725\) 56.5989 27.9115i 2.10203 1.03661i
\(726\) −72.1623 10.1515i −2.67819 0.376758i
\(727\) 3.98935 + 30.3021i 0.147957 + 1.12384i 0.890806 + 0.454385i \(0.150141\pi\)
−0.742849 + 0.669459i \(0.766526\pi\)
\(728\) −2.66715 0.875106i −0.0988511 0.0324336i
\(729\) −15.1824 + 22.3270i −0.562310 + 0.826927i
\(730\) 30.1595 + 11.6104i 1.11625 + 0.429719i
\(731\) 17.7966 15.6072i 0.658229 0.577252i
\(732\) 46.1362 + 5.30761i 1.70524 + 0.196175i
\(733\) 42.0290 2.75473i 1.55238 0.101748i 0.735087 0.677973i \(-0.237141\pi\)
0.817291 + 0.576225i \(0.195475\pi\)
\(734\) −2.84509 31.2925i −0.105014 1.15503i
\(735\) −37.6879 17.1378i −1.39014 0.632136i
\(736\) −14.0167 12.4118i −0.516663 0.457506i
\(737\) 61.6991i 2.27272i
\(738\) −16.1115 + 4.70821i −0.593071 + 0.173311i
\(739\) −11.4631 17.1558i −0.421678 0.631086i 0.558430 0.829552i \(-0.311404\pi\)
−0.980108 + 0.198466i \(0.936404\pi\)
\(740\) 61.3607 39.6809i 2.25566 1.45870i
\(741\) 1.51691 + 5.02509i 0.0557252 + 0.184601i
\(742\) −0.395581 0.489461i −0.0145222 0.0179687i
\(743\) −2.05515 + 15.6104i −0.0753963 + 0.572692i 0.911496 + 0.411310i \(0.134928\pi\)
−0.986892 + 0.161382i \(0.948405\pi\)
\(744\) 13.9256 2.42600i 0.510535 0.0889414i
\(745\) −0.861655 6.54492i −0.0315686 0.239787i
\(746\) −13.2426 12.5909i −0.484847 0.460987i
\(747\) −27.0688 11.2983i −0.990395 0.413382i
\(748\) −44.3482 6.51712i −1.62153 0.238289i
\(749\) 0.872331 0.296117i 0.0318743 0.0108199i
\(750\) −21.9962 + 14.4171i −0.803186 + 0.526439i
\(751\) −43.5874 + 11.6792i −1.59053 + 0.426180i −0.942164 0.335153i \(-0.891212\pi\)
−0.648361 + 0.761333i \(0.724545\pi\)
\(752\) 4.01977 + 1.80824i 0.146586 + 0.0659396i
\(753\) 34.2795 + 5.70728i 1.24921 + 0.207985i
\(754\) −12.4509 13.4952i −0.453433 0.491467i
\(755\) −47.8543 9.51882i −1.74160 0.346425i
\(756\) −5.39687 + 3.21491i −0.196282 + 0.116925i
\(757\) 3.41871 5.11647i 0.124255 0.185961i −0.764127 0.645066i \(-0.776830\pi\)
0.888382 + 0.459105i \(0.151830\pi\)
\(758\) 12.5456 7.67142i 0.455678 0.278639i
\(759\) −35.6491 + 8.26131i −1.29398 + 0.299867i
\(760\) 16.1926 9.57060i 0.587369 0.347162i
\(761\) −51.1565 6.73488i −1.85442 0.244139i −0.880993 0.473129i \(-0.843124\pi\)
−0.973429 + 0.228990i \(0.926458\pi\)
\(762\) −26.3354 0.233318i −0.954031 0.00845221i
\(763\) 4.22896 + 4.82221i 0.153099 + 0.174576i
\(764\) −17.2358 6.14076i −0.623568 0.222165i
\(765\) 36.6276 + 9.92078i 1.32427 + 0.358686i
\(766\) 0.185936 1.07590i 0.00671816 0.0388738i
\(767\) −8.21572 14.2300i −0.296652 0.513817i
\(768\) −21.4935 17.4937i −0.775579 0.631251i
\(769\) 10.7369 18.5969i 0.387182 0.670620i −0.604887 0.796311i \(-0.706782\pi\)
0.992069 + 0.125692i \(0.0401150\pi\)
\(770\) 15.1038 + 12.5863i 0.544304 + 0.453577i
\(771\) −10.4199 + 8.52780i −0.375264 + 0.307121i
\(772\) −5.40035 29.4530i −0.194363 1.06004i
\(773\) 36.8106 7.32208i 1.32398 0.263357i 0.518044 0.855354i \(-0.326660\pi\)
0.805940 + 0.591997i \(0.201660\pi\)
\(774\) 12.0705 25.9324i 0.433867 0.932120i
\(775\) 8.81150 + 21.2728i 0.316519 + 0.764143i
\(776\) 0.353420 + 34.6103i 0.0126871 + 1.24244i
\(777\) 7.24761 + 7.75923i 0.260006 + 0.278361i
\(778\) 34.9879 + 19.0404i 1.25438 + 0.682631i
\(779\) 3.22992 + 6.54963i 0.115724 + 0.234665i
\(780\) 15.6247 + 13.2566i 0.559455 + 0.474664i
\(781\) 0.388017 + 1.14306i 0.0138843 + 0.0409019i
\(782\) −16.0313 + 3.61135i −0.573279 + 0.129142i
\(783\) −41.0742 + 1.17755i −1.46787 + 0.0420823i
\(784\) 26.4035 2.67269i 0.942983 0.0954533i
\(785\) −7.90016 + 29.4838i −0.281969 + 1.05232i
\(786\) −1.31960 23.2934i −0.0470685 0.830849i
\(787\) 36.4706 + 31.9839i 1.30004 + 1.14010i 0.981347 + 0.192242i \(0.0615760\pi\)
0.318689 + 0.947859i \(0.396757\pi\)
\(788\) −2.53745 + 3.20606i −0.0903928 + 0.114211i
\(789\) −8.30439 + 5.14841i −0.295644 + 0.183288i
\(790\) −5.61080 + 23.2723i −0.199623 + 0.827990i
\(791\) 10.3907 + 4.30396i 0.369450 + 0.153031i
\(792\) −52.2142 + 14.4114i −1.85535 + 0.512088i
\(793\) 20.3352 8.42313i 0.722125 0.299114i
\(794\) −0.272562 + 0.0429016i −0.00967288 + 0.00152252i
\(795\) 1.32760 + 4.39795i 0.0470851 + 0.155979i
\(796\) 46.6571 + 23.8859i 1.65372 + 0.846613i
\(797\) 9.03149 0.591955i 0.319912 0.0209681i 0.0953984 0.995439i \(-0.469587\pi\)
0.224513 + 0.974471i \(0.427921\pi\)
\(798\) 1.78374 + 2.07069i 0.0631438 + 0.0733016i
\(799\) 3.35049 1.93441i 0.118532 0.0684343i
\(800\) 20.1601 40.3909i 0.712766 1.42803i
\(801\) −14.8843 5.09755i −0.525911 0.180113i
\(802\) −34.0519 + 24.0165i −1.20241 + 0.848053i
\(803\) −17.9081 + 36.3140i −0.631962 + 1.28149i
\(804\) −13.3172 30.7191i −0.469660 1.08338i
\(805\) 6.82523 + 2.31685i 0.240558 + 0.0816584i
\(806\) 5.21052 4.21112i 0.183533 0.148330i
\(807\) 21.1761 + 13.2080i 0.745435 + 0.464943i
\(808\) 4.72762 + 22.5609i 0.166317 + 0.793688i
\(809\) 27.0877 + 11.2201i 0.952351 + 0.394477i 0.804114 0.594475i \(-0.202640\pi\)
0.148237 + 0.988952i \(0.452640\pi\)
\(810\) 45.3364 6.88446i 1.59296 0.241895i
\(811\) −16.1062 10.7618i −0.565565 0.377899i 0.239670 0.970855i \(-0.422961\pi\)
−0.805235 + 0.592956i \(0.797961\pi\)
\(812\) −8.77669 3.79073i −0.308001 0.133029i
\(813\) 23.2505 10.4967i 0.815430 0.368136i
\(814\) 42.5503 + 81.0634i 1.49139 + 2.84127i
\(815\) 54.1917 14.5206i 1.89825 0.508635i
\(816\) −23.4870 + 6.32736i −0.822209 + 0.221502i
\(817\) −12.0206 3.22091i −0.420548 0.112685i
\(818\) −2.80144 12.4360i −0.0979502 0.434815i
\(819\) −1.49564 + 2.57439i −0.0522619 + 0.0899565i
\(820\) 24.4717 + 14.6228i 0.854590 + 0.510651i
\(821\) 4.40885 + 0.288971i 0.153870 + 0.0100852i 0.142143 0.989846i \(-0.454601\pi\)
0.0117265 + 0.999931i \(0.496267\pi\)
\(822\) −41.8487 + 5.13274i −1.45964 + 0.179025i
\(823\) −24.6345 32.1043i −0.858706 1.11909i −0.991777 0.127981i \(-0.959150\pi\)
0.133071 0.991107i \(-0.457516\pi\)
\(824\) 22.4512 + 16.8660i 0.782124 + 0.587555i
\(825\) −41.4878 77.8719i −1.44442 2.71115i
\(826\) −6.91663 5.03538i −0.240660 0.175203i
\(827\) 14.8458 2.95301i 0.516238 0.102686i 0.0699061 0.997554i \(-0.477730\pi\)
0.446332 + 0.894867i \(0.352730\pi\)
\(828\) −15.9661 + 11.8077i −0.554859 + 0.410346i
\(829\) 42.8724 28.6464i 1.48902 0.994932i 0.497153 0.867663i \(-0.334379\pi\)
0.991868 0.127270i \(-0.0406213\pi\)
\(830\) 17.1976 + 46.7542i 0.596937 + 1.62286i
\(831\) 0.746838 1.64238i 0.0259075 0.0569737i
\(832\) −12.9319 2.29884i −0.448332 0.0796978i
\(833\) 11.6468 20.1728i 0.403537 0.698947i
\(834\) 2.23572 + 4.63670i 0.0774167 + 0.160556i
\(835\) −34.8470 17.1846i −1.20593 0.594699i
\(836\) 10.1046 + 21.2899i 0.349476 + 0.736325i
\(837\) 0.551440 14.9826i 0.0190606 0.517874i
\(838\) 28.7019 12.7459i 0.991492 0.440301i
\(839\) −13.0558 + 17.0147i −0.450736 + 0.587411i −0.962353 0.271803i \(-0.912380\pi\)
0.511617 + 0.859214i \(0.329047\pi\)
\(840\) 10.2366 + 3.00650i 0.353196 + 0.103734i
\(841\) −20.4156 26.6061i −0.703986 0.917452i
\(842\) 19.2506 35.3743i 0.663421 1.21908i
\(843\) 11.5723 + 18.6662i 0.398573 + 0.642898i
\(844\) 20.8473 + 0.312925i 0.717593 + 0.0107713i
\(845\) −36.4114 7.24267i −1.25259 0.249155i
\(846\) 2.76183 3.77215i 0.0949535 0.129689i
\(847\) −12.7160 + 12.7160i −0.436928 + 0.436928i
\(848\) −2.15470 2.00717i −0.0739926 0.0689267i
\(849\) 19.4772 + 16.0288i 0.668457 + 0.550106i
\(850\) −18.4154 35.0835i −0.631642 1.20336i
\(851\) 25.2346 + 22.1302i 0.865032 + 0.758613i
\(852\) 0.439907 + 0.485363i 0.0150710 + 0.0166283i
\(853\) 0.478021 7.29320i 0.0163671 0.249714i −0.981833 0.189746i \(-0.939233\pi\)
0.998200 0.0599680i \(-0.0190999\pi\)
\(854\) 7.89677 8.30548i 0.270222 0.284208i
\(855\) −6.36168 18.9090i −0.217565 0.646676i
\(856\) 3.84634 1.94588i 0.131465 0.0665088i
\(857\) −36.3890 27.9223i −1.24303 0.953807i −0.243157 0.969987i \(-0.578183\pi\)
−0.999869 + 0.0161799i \(0.994850\pi\)
\(858\) −18.3133 + 17.9916i −0.625205 + 0.614225i
\(859\) −16.9371 5.74937i −0.577887 0.196166i 0.0171662 0.999853i \(-0.494536\pi\)
−0.595053 + 0.803687i \(0.702869\pi\)
\(860\) −46.2313 + 14.9234i −1.57647 + 0.508884i
\(861\) −1.46434 + 3.87473i −0.0499045 + 0.132050i
\(862\) 8.28823 + 3.83057i 0.282298 + 0.130470i
\(863\) 36.6324i 1.24698i −0.781831 0.623491i \(-0.785714\pi\)
0.781831 0.623491i \(-0.214286\pi\)
\(864\) −22.8861 + 18.4452i −0.778602 + 0.627518i
\(865\) 22.2569i 0.756757i
\(866\) 22.8147 49.3643i 0.775276 1.67747i
\(867\) 2.86160 7.57196i 0.0971850 0.257157i
\(868\) 1.58959 3.10500i 0.0539542 0.105390i
\(869\) −28.4011 9.64087i −0.963441 0.327044i
\(870\) 48.9085 + 49.7829i 1.65815 + 1.68780i
\(871\) −12.5895 9.66025i −0.426578 0.327325i
\(872\) 22.7648 + 19.5566i 0.770912 + 0.662269i
\(873\) 35.9868 + 7.25962i 1.21797 + 0.245701i
\(874\) 6.26119 + 5.95308i 0.211788 + 0.201366i
\(875\) −0.424477 + 6.47626i −0.0143499 + 0.218938i
\(876\) −1.07814 + 21.9455i −0.0364271 + 0.741470i
\(877\) 17.6177 + 15.4503i 0.594907 + 0.521719i 0.903002 0.429636i \(-0.141358\pi\)
−0.308095 + 0.951356i \(0.599691\pi\)
\(878\) 24.2730 12.7409i 0.819175 0.429986i
\(879\) 5.28664 + 4.35063i 0.178314 + 0.146743i
\(880\) 78.2537 + 48.3681i 2.63793 + 1.63049i
\(881\) 10.0915 10.0915i 0.339991 0.339991i −0.516373 0.856364i \(-0.672718\pi\)
0.856364 + 0.516373i \(0.172718\pi\)
\(882\) 3.04498 27.9831i 0.102530 0.942240i
\(883\) −16.9081 3.36323i −0.569003 0.113182i −0.0977995 0.995206i \(-0.531180\pi\)
−0.471204 + 0.882024i \(0.656180\pi\)
\(884\) −8.27341 + 8.02871i −0.278265 + 0.270035i
\(885\) 32.9072 + 53.0793i 1.10616 + 1.78424i
\(886\) 16.4968 + 8.97752i 0.554220 + 0.301606i
\(887\) −27.1659 35.4033i −0.912142 1.18873i −0.981563 0.191139i \(-0.938782\pi\)
0.0694210 0.997587i \(-0.477885\pi\)
\(888\) 38.6819 + 31.1762i 1.29808 + 1.04621i
\(889\) −3.95645 + 5.15614i −0.132695 + 0.172931i
\(890\) 10.8448 + 24.4208i 0.363518 + 0.818588i
\(891\) 3.44687 + 57.3488i 0.115474 + 1.92126i
\(892\) 2.47456 6.94556i 0.0828545 0.232554i
\(893\) −1.82423 0.899612i −0.0610457 0.0301044i
\(894\) 4.04277 1.94934i 0.135210 0.0651956i
\(895\) 42.2818 73.2342i 1.41332 2.44795i
\(896\) −6.63957 + 1.63884i −0.221812 + 0.0547497i
\(897\) −3.89591 + 8.56756i −0.130081 + 0.286062i
\(898\) −20.7782 + 7.64285i −0.693379 + 0.255045i
\(899\) 18.9719 12.6766i 0.632749 0.422790i
\(900\) −37.4641 29.8165i −1.24880 0.993884i
\(901\) −2.53502 + 0.504247i −0.0844537 + 0.0167989i
\(902\) −21.0216 + 28.8754i −0.699941 + 0.961445i
\(903\) −3.31903 6.22976i −0.110450 0.207313i
\(904\) 50.9688 + 13.1007i 1.69520 + 0.435724i
\(905\) 49.8819 + 65.0074i 1.65813 + 2.16092i
\(906\) −4.03839 32.9261i −0.134166 1.09390i
\(907\) −7.90402 0.518057i −0.262449 0.0172018i −0.0663892 0.997794i \(-0.521148\pi\)
−0.196059 + 0.980592i \(0.562815\pi\)
\(908\) −4.97346 19.7418i −0.165050 0.655155i
\(909\) 24.4491 + 0.0662388i 0.810924 + 0.00219700i
\(910\) 4.93299 1.11125i 0.163527 0.0368375i
\(911\) 1.96172 + 0.525641i 0.0649947 + 0.0174153i 0.291170 0.956671i \(-0.405956\pi\)
−0.226175 + 0.974087i \(0.572622\pi\)
\(912\) 9.62616 + 8.41892i 0.318754 + 0.278778i
\(913\) −60.2879 + 16.1541i −1.99524 + 0.534622i
\(914\) 11.0833 5.81761i 0.366602 0.192430i
\(915\) −76.2477 + 34.4230i −2.52067 + 1.13799i
\(916\) −6.28146 + 2.49208i −0.207545 + 0.0823407i
\(917\) −4.78715 3.19867i −0.158085 0.105629i
\(918\) 1.38946 + 25.7624i 0.0458590 + 0.850287i
\(919\) 3.50884 + 1.45341i 0.115746 + 0.0479435i 0.439805 0.898093i \(-0.355048\pi\)
−0.324059 + 0.946037i \(0.605048\pi\)
\(920\) 33.1436 + 6.24156i 1.09271 + 0.205778i
\(921\) 8.45565 + 5.27396i 0.278623 + 0.173783i
\(922\) 33.1210 + 40.9814i 1.09078 + 1.34965i
\(923\) 0.293989 + 0.0997959i 0.00967677 + 0.00328482i
\(924\) −4.91259 + 12.4315i −0.161612 + 0.408966i
\(925\) −35.7936 + 72.5823i −1.17689 + 2.38649i
\(926\) 27.7660 + 39.3681i 0.912447 + 1.29372i
\(927\) 22.4459 19.5772i 0.737219 0.642999i
\(928\) −43.1540 11.7853i −1.41660 0.386871i
\(929\) −10.9451 + 6.31915i −0.359097 + 0.207324i −0.668684 0.743546i \(-0.733142\pi\)
0.309588 + 0.950871i \(0.399809\pi\)
\(930\) −19.2923 + 16.6189i −0.632620 + 0.544954i
\(931\) −12.2202 + 0.800953i −0.400500 + 0.0262502i
\(932\) −25.2773 + 8.15950i −0.827986 + 0.267273i
\(933\) −6.09321 20.1850i −0.199483 0.660827i
\(934\) −7.16223 45.5031i −0.234355 1.48891i
\(935\) 74.6004 30.9005i 2.43969 1.01055i
\(936\) −5.23460 + 12.9105i −0.171098 + 0.421994i
\(937\) 10.7335 + 4.44595i 0.350648 + 0.145243i 0.551053 0.834470i \(-0.314226\pi\)
−0.200406 + 0.979713i \(0.564226\pi\)
\(938\) −8.03225 1.93653i −0.262262 0.0632299i
\(939\) 1.84203 1.14199i 0.0601122 0.0372674i
\(940\) −7.88685 + 0.918125i −0.257241 + 0.0299459i
\(941\) 14.7319 + 12.9195i 0.480246 + 0.421165i 0.864937 0.501881i \(-0.167358\pi\)
−0.384690 + 0.923046i \(0.625692\pi\)
\(942\) −20.7195 + 1.17378i −0.675078 + 0.0382439i
\(943\) −3.38900 + 12.6479i −0.110361 + 0.411873i
\(944\) −35.3561 18.7754i −1.15074 0.611086i
\(945\) 5.37491 9.95819i 0.174846 0.323940i
\(946\) −13.3758 59.3774i −0.434886 1.93052i
\(947\) −1.01755 2.99760i −0.0330659 0.0974089i 0.929144 0.369718i \(-0.120546\pi\)
−0.962210 + 0.272310i \(0.912213\pi\)
\(948\) −16.2214 + 1.33005i −0.526846 + 0.0431982i
\(949\) 4.60587 + 9.33977i 0.149513 + 0.303182i
\(950\) −9.95746 + 18.2975i −0.323063 + 0.593648i
\(951\) 3.88588 + 4.16019i 0.126008 + 0.134904i
\(952\) −2.24037 + 5.56889i −0.0726107 + 0.180489i
\(953\) −14.1494 34.1598i −0.458345 1.10654i −0.969067 0.246797i \(-0.920622\pi\)
0.510722 0.859746i \(-0.329378\pi\)
\(954\) −2.55727 + 1.79326i −0.0827945 + 0.0580591i
\(955\) 32.3269 6.43022i 1.04607 0.208077i
\(956\) −14.7510 + 21.3748i −0.477081 + 0.691312i
\(957\) −67.6642 + 55.3774i −2.18727 + 1.79010i
\(958\) −2.45841 + 2.95015i −0.0794275 + 0.0953149i
\(959\) −5.20231 + 9.01066i −0.167991 + 0.290969i
\(960\) 49.4011 + 7.19145i 1.59441 + 0.232103i
\(961\) −11.3374 19.6369i −0.365721 0.633448i
\(962\) 23.2028 + 4.00990i 0.748089 + 0.129284i
\(963\) −1.17136 4.41942i −0.0377464 0.142414i
\(964\) −4.29320 + 2.03765i −0.138275 + 0.0656282i
\(965\) 35.5659 + 40.5551i 1.14491 + 1.30551i
\(966\) −0.0434137 + 4.90025i −0.00139681 + 0.157663i
\(967\) −29.7977 3.92294i −0.958229 0.126153i −0.364841 0.931070i \(-0.618877\pi\)
−0.593388 + 0.804917i \(0.702210\pi\)
\(968\) −50.5407 + 67.2773i −1.62444 + 2.16238i
\(969\) 10.9349 2.53405i 0.351280 0.0814054i
\(970\) −32.5269 53.1936i −1.04438 1.70794i
\(971\) 5.49509 8.22398i 0.176346 0.263920i −0.732758 0.680489i \(-0.761767\pi\)
0.909104 + 0.416569i \(0.136767\pi\)
\(972\) 14.0943 + 27.8092i 0.452076 + 0.891979i
\(973\) 1.24588 + 0.247822i 0.0399412 + 0.00794480i
\(974\) 40.5964 37.4548i 1.30079 1.20013i
\(975\) −22.3852 3.72697i −0.716901 0.119359i
\(976\) 31.1172 43.6732i 0.996038 1.39795i
\(977\) −8.50188 + 2.27807i −0.271999 + 0.0728820i −0.392240 0.919863i \(-0.628300\pi\)
0.120241 + 0.992745i \(0.461633\pi\)
\(978\) 20.9098 + 31.9020i 0.668622 + 1.02011i
\(979\) −31.7010 + 10.7610i −1.01317 + 0.343924i
\(980\) −38.3598 + 28.5301i −1.22536 + 0.911362i
\(981\) 25.3065 19.3096i 0.807974 0.616509i
\(982\) 6.94743 7.30701i 0.221701 0.233176i
\(983\) 1.37111 + 10.4146i 0.0437315 + 0.332174i 0.999300 + 0.0374053i \(0.0119093\pi\)
−0.955569 + 0.294769i \(0.904757\pi\)
\(984\) −4.23385 + 18.9139i −0.134970 + 0.602954i
\(985\) 0.961375 7.30237i 0.0306320 0.232673i
\(986\) −30.5381 + 24.6808i −0.972530 + 0.785995i
\(987\) −0.333407 1.10448i −0.0106125 0.0351559i
\(988\) 5.92620 + 1.27155i 0.188538 + 0.0404533i
\(989\) −12.3969 18.5532i −0.394197 0.589957i
\(990\) 67.4258 70.5319i 2.14293 2.24165i
\(991\) 32.9384i 1.04632i −0.852234 0.523161i \(-0.824753\pi\)
0.852234 0.523161i \(-0.175247\pi\)
\(992\) 5.32064 15.4305i 0.168931 0.489918i
\(993\) −3.75882 1.70924i −0.119283 0.0542412i
\(994\) 0.160987 0.0146368i 0.00510620 0.000464253i
\(995\) −94.2197 + 6.17548i −2.98696 + 0.195776i
\(996\) −26.5297 + 21.0554i −0.840627 + 0.667167i
\(997\) 3.62227 3.17665i 0.114718 0.100605i −0.600065 0.799951i \(-0.704859\pi\)
0.714783 + 0.699346i \(0.246525\pi\)
\(998\) −13.6597 + 35.4829i −0.432390 + 1.12319i
\(999\) 40.8694 33.2636i 1.29305 1.05242i
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 576.2.bm.a.13.11 1504
9.7 even 3 inner 576.2.bm.a.205.75 yes 1504
64.5 even 16 inner 576.2.bm.a.517.75 yes 1504
576.133 even 48 inner 576.2.bm.a.133.11 yes 1504
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
576.2.bm.a.13.11 1504 1.1 even 1 trivial
576.2.bm.a.133.11 yes 1504 576.133 even 48 inner
576.2.bm.a.205.75 yes 1504 9.7 even 3 inner
576.2.bm.a.517.75 yes 1504 64.5 even 16 inner