Properties

Label 896.2.bt.a.59.64
Level $896$
Weight $2$
Character 896.59
Analytic conductor $7.155$
Analytic rank $0$
Dimension $4032$
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] = [896,2,Mod(3,896)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(896, base_ring=CyclotomicField(96))
 
chi = DirichletCharacter(H, H._module([48, 9, 16]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("896.3");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 896 = 2^{7} \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 896.bt (of order \(96\), degree \(32\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(7.15459602111\)
Analytic rank: \(0\)
Dimension: \(4032\)
Relative dimension: \(126\) over \(\Q(\zeta_{96})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{96}]$

Embedding invariants

Embedding label 59.64
Character \(\chi\) \(=\) 896.59
Dual form 896.2.bt.a.243.64

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.0179262 - 1.41410i) q^{2} +(2.20118 + 2.35018i) q^{3} +(-1.99936 - 0.0506990i) q^{4} +(-1.73008 - 3.81837i) q^{5} +(3.36285 - 3.07056i) q^{6} +(-2.64041 + 0.167960i) q^{7} +(-0.107534 + 2.82638i) q^{8} +(-0.481926 + 7.35278i) q^{9} +O(q^{10})\) \(q+(0.0179262 - 1.41410i) q^{2} +(2.20118 + 2.35018i) q^{3} +(-1.99936 - 0.0506990i) q^{4} +(-1.73008 - 3.81837i) q^{5} +(3.36285 - 3.07056i) q^{6} +(-2.64041 + 0.167960i) q^{7} +(-0.107534 + 2.82638i) q^{8} +(-0.481926 + 7.35278i) q^{9} +(-5.43057 + 2.37806i) q^{10} +(-1.49875 - 2.41018i) q^{11} +(-4.28180 - 4.81045i) q^{12} +(0.0646389 + 0.656290i) q^{13} +(0.190180 + 3.73682i) q^{14} +(5.16563 - 12.4709i) q^{15} +(3.99486 + 0.202731i) q^{16} +(-2.93095 - 0.385867i) q^{17} +(10.3889 + 0.813300i) q^{18} +(0.108177 - 0.655216i) q^{19} +(3.26546 + 7.72200i) q^{20} +(-6.20677 - 5.83574i) q^{21} +(-3.43511 + 2.07618i) q^{22} +(-4.91603 - 5.60566i) q^{23} +(-6.87921 + 5.96866i) q^{24} +(-8.29003 + 9.45297i) q^{25} +(0.929218 - 0.0796411i) q^{26} +(-10.8738 + 8.92391i) q^{27} +(5.28765 - 0.201947i) q^{28} +(-0.444671 - 0.831922i) q^{29} +(-17.5425 - 7.52827i) q^{30} +(-8.55419 + 2.29209i) q^{31} +(0.358294 - 5.64550i) q^{32} +(2.36534 - 8.82759i) q^{33} +(-0.598195 + 4.13774i) q^{34} +(5.20946 + 9.79149i) q^{35} +(1.33632 - 14.6764i) q^{36} +(2.02115 - 5.37007i) q^{37} +(-0.924602 - 0.164718i) q^{38} +(-1.40012 + 1.59653i) q^{39} +(10.9782 - 4.47926i) q^{40} +(-0.200883 - 1.00991i) q^{41} +(-8.36358 + 8.67239i) q^{42} +(-4.96112 + 1.50494i) q^{43} +(2.87434 + 4.89480i) q^{44} +(28.9094 - 10.8807i) q^{45} +(-8.01508 + 6.85127i) q^{46} +(-0.306524 + 0.399470i) q^{47} +(8.31696 + 9.83488i) q^{48} +(6.94358 - 0.886970i) q^{49} +(13.2188 + 11.8924i) q^{50} +(-5.54470 - 7.73762i) q^{51} +(-0.0959631 - 1.31544i) q^{52} +(4.51126 + 7.25469i) q^{53} +(12.4244 + 15.5366i) q^{54} +(-6.61002 + 9.89259i) q^{55} +(-0.190785 - 7.48088i) q^{56} +(1.77799 - 1.18802i) q^{57} +(-1.18439 + 0.613897i) q^{58} +(2.02677 - 2.82835i) q^{59} +(-10.9602 + 24.6720i) q^{60} +(2.84633 - 0.663672i) q^{61} +(3.08790 + 12.1376i) q^{62} +(0.0375099 - 19.4953i) q^{63} +(-7.97687 - 0.607866i) q^{64} +(2.39413 - 1.38225i) q^{65} +(-12.4407 - 3.50308i) q^{66} +(-1.12206 - 1.19802i) q^{67} +(5.84045 + 0.920082i) q^{68} +(2.35322 - 23.8926i) q^{69} +(13.9395 - 7.19118i) q^{70} +(-6.42328 - 9.61311i) q^{71} +(-20.7299 - 2.15278i) q^{72} +(4.26032 - 2.10096i) q^{73} +(-7.55758 - 2.95437i) q^{74} +(-40.4641 + 1.32466i) q^{75} +(-0.249503 + 1.30453i) q^{76} +(4.36213 + 6.11215i) q^{77} +(2.23255 + 2.00853i) q^{78} +(2.04090 + 15.5022i) q^{79} +(-6.13733 - 15.6046i) q^{80} +(-22.9915 - 3.02689i) q^{81} +(-1.43171 + 0.265965i) q^{82} +(10.2789 - 12.5249i) q^{83} +(12.1137 + 11.9824i) q^{84} +(3.59740 + 11.8590i) q^{85} +(2.03920 + 7.04250i) q^{86} +(0.976362 - 2.87627i) q^{87} +(6.97327 - 3.97686i) q^{88} +(-2.52048 - 7.42509i) q^{89} +(-14.8682 - 41.0758i) q^{90} +(-0.280904 - 1.72202i) q^{91} +(9.54470 + 11.4569i) q^{92} +(-24.2162 - 15.0586i) q^{93} +(0.559396 + 0.440617i) q^{94} +(-2.68901 + 0.720519i) q^{95} +(14.0566 - 11.5847i) q^{96} +(-6.80878 + 6.80878i) q^{97} +(-1.12979 - 9.83481i) q^{98} +(18.4438 - 9.85843i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 4032 q - 16 q^{2} - 48 q^{3} - 16 q^{4} - 48 q^{5} - 32 q^{7} - 64 q^{8} - 16 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 4032 q - 16 q^{2} - 48 q^{3} - 16 q^{4} - 48 q^{5} - 32 q^{7} - 64 q^{8} - 16 q^{9} - 48 q^{10} - 16 q^{11} - 48 q^{12} - 32 q^{14} - 64 q^{15} - 16 q^{16} - 48 q^{17} - 16 q^{18} - 48 q^{19} - 32 q^{21} - 64 q^{22} - 16 q^{23} - 48 q^{24} - 16 q^{25} - 48 q^{26} - 32 q^{28} - 64 q^{29} - 16 q^{30} - 48 q^{31} - 16 q^{32} - 48 q^{33} - 32 q^{35} - 64 q^{36} - 16 q^{37} - 48 q^{38} - 16 q^{39} - 48 q^{40} - 32 q^{42} - 64 q^{43} - 16 q^{44} - 48 q^{45} - 16 q^{46} - 48 q^{47} - 32 q^{49} + 32 q^{50} - 16 q^{51} - 336 q^{52} - 16 q^{53} - 48 q^{54} - 32 q^{56} - 64 q^{57} - 16 q^{58} - 48 q^{59} - 208 q^{60} - 48 q^{61} - 64 q^{63} + 320 q^{64} - 624 q^{66} - 16 q^{67} - 48 q^{68} - 32 q^{70} - 64 q^{71} - 16 q^{72} - 48 q^{73} - 128 q^{74} - 48 q^{75} - 32 q^{77} + 128 q^{78} - 16 q^{79} - 192 q^{80} - 16 q^{81} - 48 q^{82} - 32 q^{84} - 64 q^{85} - 16 q^{86} - 48 q^{87} - 16 q^{88} - 48 q^{89} - 32 q^{91} - 64 q^{92} - 16 q^{93} - 48 q^{94} - 16 q^{95} - 48 q^{96} - 32 q^{98} - 64 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/896\mathbb{Z}\right)^\times\).

\(n\) \(127\) \(129\) \(645\)
\(\chi(n)\) \(-1\) \(e\left(\frac{1}{6}\right)\) \(e\left(\frac{17}{32}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.0179262 1.41410i 0.0126758 0.999920i
\(3\) 2.20118 + 2.35018i 1.27085 + 1.35688i 0.904542 + 0.426385i \(0.140213\pi\)
0.366312 + 0.930492i \(0.380620\pi\)
\(4\) −1.99936 0.0506990i −0.999679 0.0253495i
\(5\) −1.73008 3.81837i −0.773716 1.70763i −0.704152 0.710049i \(-0.748673\pi\)
−0.0695632 0.997578i \(-0.522161\pi\)
\(6\) 3.36285 3.07056i 1.37288 1.25355i
\(7\) −2.64041 + 0.167960i −0.997983 + 0.0634831i
\(8\) −0.107534 + 2.82638i −0.0380191 + 0.999277i
\(9\) −0.481926 + 7.35278i −0.160642 + 2.45093i
\(10\) −5.43057 + 2.37806i −1.71730 + 0.752008i
\(11\) −1.49875 2.41018i −0.451890 0.726698i 0.541598 0.840638i \(-0.317820\pi\)
−0.993488 + 0.113940i \(0.963653\pi\)
\(12\) −4.28180 4.81045i −1.23605 1.38866i
\(13\) 0.0646389 + 0.656290i 0.0179276 + 0.182022i 0.999978 0.00659536i \(-0.00209938\pi\)
−0.982051 + 0.188617i \(0.939599\pi\)
\(14\) 0.190180 + 3.73682i 0.0508278 + 0.998707i
\(15\) 5.16563 12.4709i 1.33376 3.21998i
\(16\) 3.99486 + 0.202731i 0.998715 + 0.0506827i
\(17\) −2.93095 0.385867i −0.710860 0.0935864i −0.233580 0.972338i \(-0.575044\pi\)
−0.477280 + 0.878751i \(0.658377\pi\)
\(18\) 10.3889 + 0.813300i 2.44869 + 0.191697i
\(19\) 0.108177 0.655216i 0.0248174 0.150317i −0.971368 0.237581i \(-0.923646\pi\)
0.996185 + 0.0872637i \(0.0278123\pi\)
\(20\) 3.26546 + 7.72200i 0.730179 + 1.72669i
\(21\) −6.20677 5.83574i −1.35443 1.27346i
\(22\) −3.43511 + 2.07618i −0.732368 + 0.442642i
\(23\) −4.91603 5.60566i −1.02506 1.16886i −0.985506 0.169643i \(-0.945739\pi\)
−0.0395572 0.999217i \(-0.512595\pi\)
\(24\) −6.87921 + 5.96866i −1.40421 + 1.21835i
\(25\) −8.29003 + 9.45297i −1.65801 + 1.89059i
\(26\) 0.929218 0.0796411i 0.182235 0.0156189i
\(27\) −10.8738 + 8.92391i −2.09267 + 1.71741i
\(28\) 5.28765 0.201947i 0.999271 0.0381643i
\(29\) −0.444671 0.831922i −0.0825734 0.154484i 0.837245 0.546827i \(-0.184165\pi\)
−0.919819 + 0.392343i \(0.871665\pi\)
\(30\) −17.5425 7.52827i −3.20282 1.37447i
\(31\) −8.55419 + 2.29209i −1.53638 + 0.411671i −0.925093 0.379740i \(-0.876013\pi\)
−0.611284 + 0.791411i \(0.709347\pi\)
\(32\) 0.358294 5.64550i 0.0633381 0.997992i
\(33\) 2.36534 8.82759i 0.411754 1.53669i
\(34\) −0.598195 + 4.13774i −0.102590 + 0.709616i
\(35\) 5.20946 + 9.79149i 0.880560 + 1.65506i
\(36\) 1.33632 14.6764i 0.222720 2.44607i
\(37\) 2.02115 5.37007i 0.332275 0.882834i −0.659133 0.752027i \(-0.729076\pi\)
0.991408 0.130807i \(-0.0417569\pi\)
\(38\) −0.924602 0.164718i −0.149990 0.0267208i
\(39\) −1.40012 + 1.59653i −0.224198 + 0.255649i
\(40\) 10.9782 4.47926i 1.73581 0.708234i
\(41\) −0.200883 1.00991i −0.0313727 0.157721i 0.961923 0.273319i \(-0.0881215\pi\)
−0.993296 + 0.115598i \(0.963122\pi\)
\(42\) −8.36358 + 8.67239i −1.29053 + 1.33818i
\(43\) −4.96112 + 1.50494i −0.756564 + 0.229501i −0.644923 0.764248i \(-0.723111\pi\)
−0.111641 + 0.993749i \(0.535611\pi\)
\(44\) 2.87434 + 4.89480i 0.433323 + 0.737919i
\(45\) 28.9094 10.8807i 4.30956 1.62200i
\(46\) −8.01508 + 6.85127i −1.18176 + 1.01016i
\(47\) −0.306524 + 0.399470i −0.0447112 + 0.0582687i −0.815174 0.579216i \(-0.803359\pi\)
0.770463 + 0.637485i \(0.220025\pi\)
\(48\) 8.31696 + 9.83488i 1.20045 + 1.41954i
\(49\) 6.94358 0.886970i 0.991940 0.126710i
\(50\) 13.2188 + 11.8924i 1.86943 + 1.68184i
\(51\) −5.54470 7.73762i −0.776413 1.08348i
\(52\) −0.0959631 1.31544i −0.0133077 0.182418i
\(53\) 4.51126 + 7.25469i 0.619669 + 0.996508i 0.997502 + 0.0706348i \(0.0225025\pi\)
−0.377834 + 0.925874i \(0.623331\pi\)
\(54\) 12.4244 + 15.5366i 1.69074 + 2.11427i
\(55\) −6.61002 + 9.89259i −0.891294 + 1.33392i
\(56\) −0.190785 7.48088i −0.0254947 0.999675i
\(57\) 1.77799 1.18802i 0.235501 0.157357i
\(58\) −1.18439 + 0.613897i −0.155518 + 0.0806086i
\(59\) 2.02677 2.82835i 0.263862 0.368220i −0.659790 0.751450i \(-0.729355\pi\)
0.923653 + 0.383230i \(0.125188\pi\)
\(60\) −10.9602 + 24.6720i −1.41496 + 3.18514i
\(61\) 2.84633 0.663672i 0.364436 0.0849745i −0.0408483 0.999165i \(-0.513006\pi\)
0.405284 + 0.914191i \(0.367173\pi\)
\(62\) 3.08790 + 12.1376i 0.392163 + 1.54147i
\(63\) 0.0375099 19.4953i 0.00472580 2.45618i
\(64\) −7.97687 0.607866i −0.997109 0.0759833i
\(65\) 2.39413 1.38225i 0.296955 0.171447i
\(66\) −12.4407 3.50308i −1.53134 0.431199i
\(67\) −1.12206 1.19802i −0.137082 0.146361i 0.657645 0.753328i \(-0.271553\pi\)
−0.794727 + 0.606967i \(0.792386\pi\)
\(68\) 5.84045 + 0.920082i 0.708259 + 0.111576i
\(69\) 2.35322 23.8926i 0.283294 2.87633i
\(70\) 13.9395 7.19118i 1.66609 0.859510i
\(71\) −6.42328 9.61311i −0.762303 1.14087i −0.986087 0.166228i \(-0.946841\pi\)
0.223785 0.974639i \(-0.428159\pi\)
\(72\) −20.7299 2.15278i −2.44305 0.253708i
\(73\) 4.26032 2.10096i 0.498633 0.245899i −0.175539 0.984472i \(-0.556167\pi\)
0.674173 + 0.738574i \(0.264500\pi\)
\(74\) −7.55758 2.95437i −0.878551 0.343439i
\(75\) −40.4641 + 1.32466i −4.67239 + 0.152958i
\(76\) −0.249503 + 1.30453i −0.0286199 + 0.149640i
\(77\) 4.36213 + 6.11215i 0.497111 + 0.696545i
\(78\) 2.23255 + 2.00853i 0.252787 + 0.227421i
\(79\) 2.04090 + 15.5022i 0.229620 + 1.74414i 0.586468 + 0.809973i \(0.300518\pi\)
−0.356848 + 0.934162i \(0.616149\pi\)
\(80\) −6.13733 15.6046i −0.686174 1.74465i
\(81\) −22.9915 3.02689i −2.55461 0.336321i
\(82\) −1.43171 + 0.265965i −0.158106 + 0.0293709i
\(83\) 10.2789 12.5249i 1.12826 1.37479i 0.210530 0.977587i \(-0.432481\pi\)
0.917731 0.397202i \(-0.130019\pi\)
\(84\) 12.1137 + 11.9824i 1.32171 + 1.30739i
\(85\) 3.59740 + 11.8590i 0.390192 + 1.28629i
\(86\) 2.03920 + 7.04250i 0.219893 + 0.759412i
\(87\) 0.976362 2.87627i 0.104677 0.308369i
\(88\) 6.97327 3.97686i 0.743353 0.423935i
\(89\) −2.52048 7.42509i −0.267170 0.787057i −0.994870 0.101162i \(-0.967744\pi\)
0.727700 0.685896i \(-0.240589\pi\)
\(90\) −14.8682 41.0758i −1.56724 4.32977i
\(91\) −0.280904 1.72202i −0.0294468 0.180517i
\(92\) 9.54470 + 11.4569i 0.995103 + 1.19447i
\(93\) −24.2162 15.0586i −2.51110 1.56150i
\(94\) 0.559396 + 0.440617i 0.0576973 + 0.0454462i
\(95\) −2.68901 + 0.720519i −0.275887 + 0.0739237i
\(96\) 14.0566 11.5847i 1.43465 1.18236i
\(97\) −6.80878 + 6.80878i −0.691327 + 0.691327i −0.962524 0.271197i \(-0.912580\pi\)
0.271197 + 0.962524i \(0.412580\pi\)
\(98\) −1.12979 9.83481i −0.114126 0.993466i
\(99\) 18.4438 9.85843i 1.85367 0.990810i
\(100\) 17.0540 18.4796i 1.70540 1.84796i
\(101\) 2.09741 0.346284i 0.208700 0.0344565i −0.0576319 0.998338i \(-0.518355\pi\)
0.266332 + 0.963881i \(0.414188\pi\)
\(102\) −11.0412 + 7.70205i −1.09324 + 0.762617i
\(103\) 1.44782 + 4.26513i 0.142658 + 0.420256i 0.994650 0.103298i \(-0.0329394\pi\)
−0.851993 + 0.523553i \(0.824606\pi\)
\(104\) −1.86188 + 0.112121i −0.182572 + 0.0109943i
\(105\) −11.5448 + 33.7960i −1.12665 + 3.29816i
\(106\) 10.3397 6.24932i 1.00428 0.606987i
\(107\) −1.52537 + 1.62862i −0.147463 + 0.157444i −0.799338 0.600882i \(-0.794816\pi\)
0.651875 + 0.758327i \(0.273983\pi\)
\(108\) 22.1931 17.2908i 2.13553 1.66381i
\(109\) 5.28606 1.98953i 0.506313 0.190563i −0.0859624 0.996298i \(-0.527397\pi\)
0.592275 + 0.805736i \(0.298230\pi\)
\(110\) 13.8706 + 9.52456i 1.32251 + 0.908131i
\(111\) 17.0696 7.07044i 1.62017 0.671096i
\(112\) −10.5821 + 0.135685i −0.999918 + 0.0128211i
\(113\) 13.2529 + 5.48952i 1.24673 + 0.516411i 0.905810 0.423684i \(-0.139263\pi\)
0.340915 + 0.940094i \(0.389263\pi\)
\(114\) −1.64810 2.53556i −0.154359 0.237477i
\(115\) −12.8993 + 28.4694i −1.20287 + 2.65479i
\(116\) 0.846880 + 1.68585i 0.0786308 + 0.156528i
\(117\) −4.85670 + 0.158992i −0.449002 + 0.0146988i
\(118\) −3.96324 2.91675i −0.364845 0.268509i
\(119\) 7.80373 + 0.526565i 0.715367 + 0.0482701i
\(120\) 34.6921 + 15.9411i 3.16694 + 1.45522i
\(121\) 1.30244 2.64108i 0.118403 0.240098i
\(122\) −0.887474 4.03690i −0.0803481 0.365483i
\(123\) 1.93128 2.69510i 0.174138 0.243009i
\(124\) 17.2191 4.14901i 1.54632 0.372592i
\(125\) 30.3797 + 9.21559i 2.71725 + 0.824268i
\(126\) −27.5677 0.402520i −2.45592 0.0358594i
\(127\) 15.7609i 1.39856i −0.714850 0.699278i \(-0.753505\pi\)
0.714850 0.699278i \(-0.246495\pi\)
\(128\) −1.00258 + 11.2692i −0.0886163 + 0.996066i
\(129\) −14.4572 8.34687i −1.27289 0.734901i
\(130\) −1.91172 3.41031i −0.167669 0.299104i
\(131\) −11.1462 + 2.59893i −0.973849 + 0.227070i −0.683580 0.729875i \(-0.739578\pi\)
−0.290269 + 0.956945i \(0.593745\pi\)
\(132\) −5.17672 + 17.5296i −0.450575 + 1.52575i
\(133\) −0.175581 + 1.74821i −0.0152248 + 0.151589i
\(134\) −1.71423 + 1.56524i −0.148087 + 0.135216i
\(135\) 52.8874 + 26.0812i 4.55182 + 2.24471i
\(136\) 1.40578 8.24249i 0.120545 0.706788i
\(137\) 7.49542 3.69633i 0.640377 0.315799i −0.0929546 0.995670i \(-0.529631\pi\)
0.733331 + 0.679872i \(0.237964\pi\)
\(138\) −33.7444 3.75599i −2.87251 0.319731i
\(139\) −6.79317 3.63102i −0.576189 0.307979i 0.157441 0.987528i \(-0.449676\pi\)
−0.733630 + 0.679549i \(0.762176\pi\)
\(140\) −9.91916 19.8408i −0.838322 1.67685i
\(141\) −1.61354 + 0.158920i −0.135885 + 0.0133835i
\(142\) −13.7090 + 8.91083i −1.15044 + 0.747780i
\(143\) 1.48490 1.13941i 0.124174 0.0952819i
\(144\) −3.41586 + 29.2756i −0.284655 + 2.43963i
\(145\) −2.40727 + 3.13721i −0.199913 + 0.260531i
\(146\) −2.89460 6.06219i −0.239558 0.501710i
\(147\) 17.3686 + 14.3663i 1.43254 + 1.18491i
\(148\) −4.31326 + 10.6342i −0.354548 + 0.874127i
\(149\) −1.99061 1.86441i −0.163077 0.152738i 0.597775 0.801664i \(-0.296052\pi\)
−0.760852 + 0.648926i \(0.775218\pi\)
\(150\) 1.14783 + 57.2440i 0.0937198 + 4.67395i
\(151\) 1.06649 3.14178i 0.0867897 0.255674i −0.894866 0.446334i \(-0.852729\pi\)
0.981656 + 0.190660i \(0.0610627\pi\)
\(152\) 1.84026 + 0.376207i 0.149265 + 0.0305144i
\(153\) 4.24969 21.3647i 0.343567 1.72723i
\(154\) 8.72139 6.05893i 0.702790 0.488242i
\(155\) 23.5515 + 28.6975i 1.89170 + 2.30504i
\(156\) 2.88028 3.12104i 0.230607 0.249884i
\(157\) 0.0447795 1.36787i 0.00357379 0.109168i −0.996186 0.0872542i \(-0.972191\pi\)
0.999760 0.0219137i \(-0.00697592\pi\)
\(158\) 21.9583 2.60815i 1.74691 0.207493i
\(159\) −7.11972 + 26.5712i −0.564631 + 2.10723i
\(160\) −22.1765 + 8.39906i −1.75320 + 0.664004i
\(161\) 13.9219 + 13.9756i 1.09720 + 1.10143i
\(162\) −4.69248 + 32.4580i −0.368676 + 2.55014i
\(163\) −9.17469 + 14.7541i −0.718617 + 1.15563i 0.263005 + 0.964794i \(0.415286\pi\)
−0.981622 + 0.190836i \(0.938880\pi\)
\(164\) 0.350436 + 2.02935i 0.0273644 + 0.158466i
\(165\) −37.7992 + 6.24068i −2.94266 + 0.485836i
\(166\) −17.5272 14.7600i −1.36038 1.14560i
\(167\) 3.15685 15.8706i 0.244284 1.22810i −0.642634 0.766174i \(-0.722158\pi\)
0.886918 0.461927i \(-0.152842\pi\)
\(168\) 17.1615 16.9152i 1.32404 1.30503i
\(169\) 12.3237 2.45133i 0.947975 0.188564i
\(170\) 16.8343 4.87449i 1.29113 0.373856i
\(171\) 4.76553 + 1.11116i 0.364429 + 0.0849729i
\(172\) 9.99535 2.75739i 0.762138 0.210249i
\(173\) −3.42817 + 20.7641i −0.260639 + 1.57867i 0.461640 + 0.887067i \(0.347261\pi\)
−0.722280 + 0.691601i \(0.756906\pi\)
\(174\) −4.04983 1.43223i −0.307017 0.108577i
\(175\) 20.3014 26.3522i 1.53464 1.99204i
\(176\) −5.49867 9.93219i −0.414478 0.748667i
\(177\) 11.1084 1.46245i 0.834959 0.109924i
\(178\) −10.5450 + 3.43110i −0.790381 + 0.257172i
\(179\) 3.90881 8.62693i 0.292158 0.644807i −0.705818 0.708393i \(-0.749420\pi\)
0.997976 + 0.0635860i \(0.0202537\pi\)
\(180\) −58.3518 + 20.2888i −4.34929 + 1.51224i
\(181\) −11.5326 6.16430i −0.857211 0.458189i −0.0166216 0.999862i \(-0.505291\pi\)
−0.840589 + 0.541673i \(0.817791\pi\)
\(182\) −2.44015 + 0.366357i −0.180876 + 0.0271562i
\(183\) 7.82505 + 5.22853i 0.578444 + 0.386504i
\(184\) 16.3724 13.2918i 1.20699 0.979883i
\(185\) −24.0017 + 1.57315i −1.76464 + 0.115660i
\(186\) −21.7284 + 33.9741i −1.59321 + 2.49110i
\(187\) 3.46275 + 7.64244i 0.253221 + 0.558871i
\(188\) 0.633104 0.783143i 0.0461739 0.0571166i
\(189\) 27.2125 25.3892i 1.97942 1.84679i
\(190\) 0.970682 + 3.81545i 0.0704206 + 0.276802i
\(191\) 3.28104 + 5.68293i 0.237408 + 0.411203i 0.959970 0.280104i \(-0.0903689\pi\)
−0.722562 + 0.691306i \(0.757036\pi\)
\(192\) −16.1300 20.0851i −1.16408 1.44952i
\(193\) −12.0501 6.95713i −0.867385 0.500785i −0.000906805 1.00000i \(-0.500289\pi\)
−0.866478 + 0.499214i \(0.833622\pi\)
\(194\) 9.50624 + 9.75035i 0.682508 + 0.700034i
\(195\) 8.51845 + 2.58404i 0.610019 + 0.185047i
\(196\) −13.9277 + 1.42134i −0.994833 + 0.101524i
\(197\) −13.5103 1.33064i −0.962566 0.0948045i −0.395490 0.918470i \(-0.629425\pi\)
−0.567076 + 0.823666i \(0.691925\pi\)
\(198\) −13.6102 26.2581i −0.967233 1.86608i
\(199\) 0.00641925 + 0.0979389i 0.000455049 + 0.00694270i 0.998080 0.0619314i \(-0.0197260\pi\)
−0.997625 + 0.0688741i \(0.978059\pi\)
\(200\) −25.8262 24.4473i −1.82619 1.72869i
\(201\) 0.345683 5.27411i 0.0243826 0.372007i
\(202\) −0.452081 2.97215i −0.0318083 0.209120i
\(203\) 1.31385 + 2.12193i 0.0922140 + 0.148930i
\(204\) 10.6935 + 15.7514i 0.748698 + 1.10282i
\(205\) −3.50866 + 2.51427i −0.245055 + 0.175604i
\(206\) 6.05727 1.97090i 0.422030 0.137319i
\(207\) 43.5863 33.4449i 3.02946 2.32458i
\(208\) 0.125173 + 2.63489i 0.00867920 + 0.182697i
\(209\) −1.74132 + 0.721279i −0.120450 + 0.0498919i
\(210\) 47.5840 + 16.9313i 3.28361 + 1.16837i
\(211\) 2.87050 + 2.35576i 0.197614 + 0.162177i 0.727996 0.685581i \(-0.240452\pi\)
−0.530383 + 0.847758i \(0.677952\pi\)
\(212\) −8.65181 14.7334i −0.594209 1.01190i
\(213\) 8.45373 36.2561i 0.579240 2.48423i
\(214\) 2.27568 + 2.18621i 0.155562 + 0.149447i
\(215\) 14.3295 + 16.3397i 0.977267 + 1.11436i
\(216\) −24.0531 31.6932i −1.63660 2.15645i
\(217\) 22.2016 7.48883i 1.50714 0.508375i
\(218\) −2.71864 7.51068i −0.184129 0.508688i
\(219\) 14.3154 + 5.38793i 0.967344 + 0.364083i
\(220\) 13.7173 19.4437i 0.924822 1.31089i
\(221\) 0.0637871 1.94849i 0.00429079 0.131070i
\(222\) −9.69232 24.2648i −0.650506 1.62855i
\(223\) −14.3816 + 14.3816i −0.963061 + 0.963061i −0.999342 0.0362809i \(-0.988449\pi\)
0.0362809 + 0.999342i \(0.488449\pi\)
\(224\) 0.00217469 + 14.9666i 0.000145302 + 1.00000i
\(225\) −65.5104 65.5104i −4.36736 4.36736i
\(226\) 8.00030 18.6425i 0.532172 1.24008i
\(227\) −18.7360 0.613352i −1.24355 0.0407096i −0.596158 0.802867i \(-0.703307\pi\)
−0.647392 + 0.762157i \(0.724140\pi\)
\(228\) −3.61507 + 2.28513i −0.239414 + 0.151336i
\(229\) 2.33313 6.19899i 0.154178 0.409641i −0.836130 0.548532i \(-0.815187\pi\)
0.990308 + 0.138891i \(0.0443537\pi\)
\(230\) 40.0274 + 18.7513i 2.63933 + 1.23642i
\(231\) −4.76280 + 23.7058i −0.313370 + 1.55973i
\(232\) 2.39915 1.16735i 0.157512 0.0766404i
\(233\) 7.03109 6.16610i 0.460622 0.403955i −0.397337 0.917673i \(-0.630066\pi\)
0.857959 + 0.513718i \(0.171732\pi\)
\(234\) 0.137768 + 6.87072i 0.00900619 + 0.449153i
\(235\) 2.05564 + 0.479307i 0.134095 + 0.0312665i
\(236\) −4.19562 + 5.55212i −0.273112 + 0.361413i
\(237\) −31.9406 + 38.9197i −2.07476 + 2.52811i
\(238\) 0.884507 11.0258i 0.0573340 0.714698i
\(239\) 3.95353 + 9.54467i 0.255733 + 0.617394i 0.998647 0.0519925i \(-0.0165572\pi\)
−0.742915 + 0.669386i \(0.766557\pi\)
\(240\) 23.1642 48.7724i 1.49524 3.14824i
\(241\) −3.60445 4.69740i −0.232183 0.302586i 0.662702 0.748883i \(-0.269409\pi\)
−0.894885 + 0.446296i \(0.852743\pi\)
\(242\) −3.71140 1.88912i −0.238578 0.121437i
\(243\) −18.9139 26.3944i −1.21333 1.69320i
\(244\) −5.72448 + 1.18261i −0.366473 + 0.0757089i
\(245\) −15.3997 24.9786i −0.983853 1.59583i
\(246\) −3.77652 2.77934i −0.240782 0.177204i
\(247\) 0.437004 + 0.0286428i 0.0278059 + 0.00182250i
\(248\) −5.55845 24.4239i −0.352962 1.55092i
\(249\) 52.0617 3.41230i 3.29927 0.216246i
\(250\) 13.5764 42.7948i 0.858645 2.70658i
\(251\) −0.646029 + 6.55924i −0.0407770 + 0.414016i 0.953028 + 0.302881i \(0.0979485\pi\)
−0.993805 + 0.111135i \(0.964552\pi\)
\(252\) −1.06339 + 38.9762i −0.0669872 + 2.45527i
\(253\) −6.14277 + 20.2500i −0.386193 + 1.27311i
\(254\) −22.2875 0.282534i −1.39844 0.0177278i
\(255\) −19.9523 + 34.5584i −1.24946 + 2.16413i
\(256\) 15.9178 + 1.61976i 0.994863 + 0.101235i
\(257\) −14.4678 + 8.35301i −0.902479 + 0.521046i −0.878004 0.478654i \(-0.841125\pi\)
−0.0244751 + 0.999700i \(0.507791\pi\)
\(258\) −12.0625 + 20.2943i −0.750977 + 1.26347i
\(259\) −4.43472 + 14.5187i −0.275560 + 0.902147i
\(260\) −4.85679 + 2.64223i −0.301206 + 0.163864i
\(261\) 6.33123 2.86864i 0.391894 0.177565i
\(262\) 3.47534 + 15.8084i 0.214707 + 0.976649i
\(263\) 0.490072 + 7.47705i 0.0302191 + 0.461055i 0.985975 + 0.166893i \(0.0533736\pi\)
−0.955756 + 0.294161i \(0.904960\pi\)
\(264\) 24.6958 + 7.63464i 1.51992 + 0.469879i
\(265\) 19.8962 29.7768i 1.22222 1.82918i
\(266\) 2.46900 + 0.279628i 0.151384 + 0.0171451i
\(267\) 11.9023 22.2675i 0.728406 1.36275i
\(268\) 2.18267 + 2.45215i 0.133328 + 0.149789i
\(269\) −4.70787 2.13311i −0.287044 0.130058i 0.264030 0.964515i \(-0.414948\pi\)
−0.551074 + 0.834457i \(0.685782\pi\)
\(270\) 37.8294 74.3205i 2.30223 4.52300i
\(271\) −3.19323 24.2550i −0.193975 1.47339i −0.760498 0.649340i \(-0.775045\pi\)
0.566523 0.824046i \(-0.308288\pi\)
\(272\) −11.6305 2.13568i −0.705203 0.129494i
\(273\) 3.42874 4.45066i 0.207517 0.269366i
\(274\) −5.09262 10.6655i −0.307656 0.644328i
\(275\) 35.2081 + 5.81288i 2.12313 + 0.350530i
\(276\) −5.91626 + 47.6506i −0.356117 + 2.86823i
\(277\) −5.36681 + 23.0170i −0.322460 + 1.38296i 0.524550 + 0.851380i \(0.324234\pi\)
−0.847010 + 0.531577i \(0.821600\pi\)
\(278\) −5.25641 + 9.54113i −0.315258 + 0.572239i
\(279\) −12.7307 64.0016i −0.762168 3.83168i
\(280\) −28.2347 + 13.6710i −1.68735 + 0.817000i
\(281\) 4.75839 + 0.946503i 0.283862 + 0.0564637i 0.334968 0.942230i \(-0.391275\pi\)
−0.0511058 + 0.998693i \(0.516275\pi\)
\(282\) 0.195804 + 2.28456i 0.0116600 + 0.136044i
\(283\) −4.11321 24.9134i −0.244505 1.48095i −0.774299 0.632819i \(-0.781898\pi\)
0.529794 0.848126i \(-0.322269\pi\)
\(284\) 12.3550 + 19.5457i 0.733137 + 1.15982i
\(285\) −7.61236 4.73367i −0.450917 0.280398i
\(286\) −1.58461 2.12023i −0.0937002 0.125372i
\(287\) 0.700039 + 2.63283i 0.0413220 + 0.155411i
\(288\) 41.3374 + 5.35517i 2.43583 + 0.315556i
\(289\) −7.97917 2.13801i −0.469363 0.125765i
\(290\) 4.39318 + 3.46035i 0.257976 + 0.203199i
\(291\) −30.9892 1.01448i −1.81662 0.0594700i
\(292\) −8.62443 + 3.98457i −0.504706 + 0.233180i
\(293\) −24.5422 + 20.1413i −1.43377 + 1.17667i −0.479572 + 0.877502i \(0.659208\pi\)
−0.954201 + 0.299165i \(0.903292\pi\)
\(294\) 20.6267 24.3034i 1.20297 1.41741i
\(295\) −14.3061 2.84567i −0.832936 0.165681i
\(296\) 14.9605 + 6.29001i 0.869563 + 0.365600i
\(297\) 37.8054 + 12.8332i 2.19369 + 0.744658i
\(298\) −2.67214 + 2.78150i −0.154793 + 0.161128i
\(299\) 3.36117 3.58868i 0.194381 0.207539i
\(300\) 80.9693 0.596975i 4.67476 0.0344664i
\(301\) 12.8466 4.80693i 0.740468 0.277067i
\(302\) −4.42367 1.56444i −0.254554 0.0900236i
\(303\) 5.43061 + 4.16705i 0.311980 + 0.239391i
\(304\) 0.564983 2.59557i 0.0324040 0.148866i
\(305\) −7.45853 9.72014i −0.427074 0.556574i
\(306\) −30.1356 6.39248i −1.72274 0.365434i
\(307\) 0.139829 + 1.41971i 0.00798045 + 0.0810269i 0.998350 0.0574224i \(-0.0182882\pi\)
−0.990370 + 0.138449i \(0.955788\pi\)
\(308\) −8.41158 12.4415i −0.479294 0.708922i
\(309\) −6.83691 + 12.7910i −0.388938 + 0.727652i
\(310\) 41.0034 32.7897i 2.32884 1.86233i
\(311\) −4.26943 8.65755i −0.242097 0.490924i 0.741581 0.670864i \(-0.234076\pi\)
−0.983678 + 0.179939i \(0.942410\pi\)
\(312\) −4.36184 4.12895i −0.246940 0.233756i
\(313\) 3.82465 7.75561i 0.216182 0.438373i −0.761586 0.648064i \(-0.775579\pi\)
0.977768 + 0.209691i \(0.0672457\pi\)
\(314\) −1.93350 0.0878434i −0.109114 0.00495729i
\(315\) −74.5052 + 33.5852i −4.19789 + 1.89231i
\(316\) −3.29455 31.0979i −0.185333 1.74940i
\(317\) −0.614144 2.63392i −0.0344938 0.147936i 0.953817 0.300388i \(-0.0971162\pi\)
−0.988311 + 0.152452i \(0.951283\pi\)
\(318\) 37.4467 + 10.5443i 2.09990 + 0.591296i
\(319\) −1.33863 + 2.31858i −0.0749491 + 0.129816i
\(320\) 11.4796 + 31.5103i 0.641728 + 1.76148i
\(321\) −7.18515 −0.401036
\(322\) 20.0124 19.4364i 1.11525 1.08315i
\(323\) −0.569887 + 1.87866i −0.0317093 + 0.104532i
\(324\) 45.8148 + 7.21748i 2.54527 + 0.400971i
\(325\) −6.73975 4.82964i −0.373854 0.267900i
\(326\) 20.6993 + 13.2384i 1.14643 + 0.733208i
\(327\) 16.3113 + 8.04387i 0.902020 + 0.444827i
\(328\) 2.87599 0.459173i 0.158800 0.0253536i
\(329\) 0.742256 1.10625i 0.0409219 0.0609896i
\(330\) 8.14734 + 53.5637i 0.448496 + 2.94859i
\(331\) 0.572181 + 17.4783i 0.0314499 + 0.960695i 0.892193 + 0.451655i \(0.149166\pi\)
−0.860743 + 0.509040i \(0.830000\pi\)
\(332\) −21.1863 + 24.5207i −1.16275 + 1.34575i
\(333\) 38.5109 + 17.4490i 2.11038 + 0.956202i
\(334\) −22.3860 4.74860i −1.22491 0.259832i
\(335\) −2.63321 + 6.35712i −0.143867 + 0.347327i
\(336\) −23.6121 24.5713i −1.28815 1.34047i
\(337\) −0.384571 0.928436i −0.0209489 0.0505751i 0.913059 0.407828i \(-0.133714\pi\)
−0.934008 + 0.357252i \(0.883714\pi\)
\(338\) −3.24551 17.4708i −0.176532 0.950289i
\(339\) 16.2706 + 43.2301i 0.883700 + 2.34794i
\(340\) −6.59124 23.8928i −0.357460 1.29577i
\(341\) 18.3449 + 17.1819i 0.993434 + 0.930452i
\(342\) 1.65673 6.71901i 0.0895855 0.363323i
\(343\) −18.1850 + 3.50822i −0.981895 + 0.189426i
\(344\) −3.72004 14.1839i −0.200571 0.764742i
\(345\) −95.3021 + 32.3507i −5.13089 + 1.74170i
\(346\) 29.3011 + 5.22000i 1.57524 + 0.280629i
\(347\) −3.08132 18.6633i −0.165414 1.00190i −0.932716 0.360611i \(-0.882568\pi\)
0.767302 0.641285i \(-0.221599\pi\)
\(348\) −2.09792 + 5.70119i −0.112460 + 0.305616i
\(349\) −5.03052 9.41145i −0.269278 0.503783i 0.710545 0.703652i \(-0.248449\pi\)
−0.979823 + 0.199869i \(0.935949\pi\)
\(350\) −36.9007 29.1806i −1.97242 1.55977i
\(351\) −6.55954 6.55954i −0.350123 0.350123i
\(352\) −14.1437 + 7.59763i −0.753861 + 0.404955i
\(353\) 2.38714 + 8.90891i 0.127054 + 0.474174i 0.999905 0.0138147i \(-0.00439751\pi\)
−0.872850 + 0.487988i \(0.837731\pi\)
\(354\) −1.86892 15.7346i −0.0993319 0.836286i
\(355\) −25.5936 + 41.1579i −1.35837 + 2.18443i
\(356\) 4.66289 + 14.9732i 0.247133 + 0.793577i
\(357\) 15.9399 + 19.4992i 0.843630 + 1.03201i
\(358\) −12.1293 5.68210i −0.641052 0.300308i
\(359\) −21.5894 + 7.32862i −1.13945 + 0.386790i −0.826475 0.562973i \(-0.809658\pi\)
−0.312971 + 0.949763i \(0.601324\pi\)
\(360\) 27.6443 + 82.8790i 1.45698 + 4.36811i
\(361\) 17.5741 + 5.96559i 0.924951 + 0.313979i
\(362\) −8.92367 + 16.1977i −0.469018 + 0.851334i
\(363\) 9.07391 2.75254i 0.476257 0.144471i
\(364\) 0.474323 + 3.45718i 0.0248613 + 0.181205i
\(365\) −15.3929 12.6327i −0.805704 0.661224i
\(366\) 7.53394 10.9717i 0.393805 0.573499i
\(367\) 3.82646 29.0649i 0.199740 1.51717i −0.538495 0.842629i \(-0.681007\pi\)
0.738235 0.674544i \(-0.235660\pi\)
\(368\) −18.5024 23.3904i −0.964504 1.21931i
\(369\) 7.52243 0.990347i 0.391602 0.0515554i
\(370\) 1.79433 + 33.9689i 0.0932830 + 1.76596i
\(371\) −13.1301 18.3977i −0.681680 0.955160i
\(372\) 47.6533 + 31.3352i 2.47071 + 1.62465i
\(373\) −0.676109 20.6530i −0.0350076 1.06937i −0.861921 0.507042i \(-0.830739\pi\)
0.826914 0.562329i \(-0.190095\pi\)
\(374\) 10.8693 4.75967i 0.562036 0.246117i
\(375\) 45.2131 + 91.6831i 2.33479 + 4.73449i
\(376\) −1.09609 0.909311i −0.0565267 0.0468942i
\(377\) 0.517239 0.345608i 0.0266392 0.0177997i
\(378\) −35.4150 38.9364i −1.82155 2.00267i
\(379\) 8.69615 + 0.856496i 0.446691 + 0.0439953i 0.318863 0.947801i \(-0.396699\pi\)
0.127829 + 0.991796i \(0.459199\pi\)
\(380\) 5.41283 1.30424i 0.277672 0.0669063i
\(381\) 37.0410 34.6927i 1.89767 1.77736i
\(382\) 8.09505 4.53785i 0.414179 0.232177i
\(383\) −7.94938 13.7687i −0.406194 0.703549i 0.588265 0.808668i \(-0.299811\pi\)
−0.994460 + 0.105119i \(0.966478\pi\)
\(384\) −28.6915 + 22.4493i −1.46416 + 1.14561i
\(385\) 15.7916 27.2308i 0.804815 1.38781i
\(386\) −10.0541 + 16.9153i −0.511740 + 0.860968i
\(387\) −8.67458 37.2033i −0.440954 1.89115i
\(388\) 13.9584 13.2680i 0.708629 0.673580i
\(389\) −15.1546 10.8596i −0.768368 0.550605i 0.129128 0.991628i \(-0.458782\pi\)
−0.897496 + 0.441023i \(0.854616\pi\)
\(390\) 3.80680 11.9996i 0.192765 0.607624i
\(391\) 12.2456 + 18.3268i 0.619286 + 0.926827i
\(392\) 1.76024 + 19.7206i 0.0889058 + 0.996040i
\(393\) −30.6428 20.4749i −1.54573 1.03282i
\(394\) −2.12385 + 19.0810i −0.106998 + 0.961287i
\(395\) 55.6622 34.6130i 2.80067 1.74157i
\(396\) −37.3756 + 18.7754i −1.87820 + 0.943502i
\(397\) 10.3048 7.38428i 0.517181 0.370607i −0.293626 0.955920i \(-0.594862\pi\)
0.810807 + 0.585314i \(0.199029\pi\)
\(398\) 0.138610 0.00732179i 0.00694791 0.000367008i
\(399\) −4.49510 + 3.43549i −0.225036 + 0.171990i
\(400\) −35.0339 + 36.0826i −1.75170 + 1.80413i
\(401\) 8.38840 + 6.43665i 0.418897 + 0.321431i 0.796612 0.604491i \(-0.206623\pi\)
−0.377715 + 0.925922i \(0.623290\pi\)
\(402\) −7.45192 0.583375i −0.371668 0.0290961i
\(403\) −2.05721 5.46587i −0.102477 0.272274i
\(404\) −4.21102 + 0.586008i −0.209506 + 0.0291550i
\(405\) 28.2194 + 93.0268i 1.40223 + 4.62254i
\(406\) 3.02418 1.81987i 0.150087 0.0903188i
\(407\) −15.9721 + 3.17704i −0.791705 + 0.157480i
\(408\) 22.4657 14.8394i 1.11222 0.734659i
\(409\) −23.7678 20.8438i −1.17524 1.03066i −0.998926 0.0463266i \(-0.985248\pi\)
−0.176316 0.984334i \(-0.556418\pi\)
\(410\) 3.49253 + 5.00666i 0.172484 + 0.247261i
\(411\) 25.1858 + 9.47927i 1.24233 + 0.467578i
\(412\) −2.67847 8.60092i −0.131959 0.423737i
\(413\) −4.87645 + 7.80843i −0.239955 + 0.384228i
\(414\) −46.5132 62.2349i −2.28600 3.05868i
\(415\) −65.6082 17.5797i −3.22058 0.862952i
\(416\) 3.72824 0.129774i 0.182792 0.00636269i
\(417\) −6.41945 23.9577i −0.314362 1.17321i
\(418\) 0.988745 + 2.47533i 0.0483611 + 0.121072i
\(419\) 24.9983 13.3619i 1.22125 0.652770i 0.270494 0.962722i \(-0.412813\pi\)
0.950752 + 0.309952i \(0.100313\pi\)
\(420\) 24.7956 66.9851i 1.20990 3.26854i
\(421\) 24.7150 + 30.1154i 1.20454 + 1.46773i 0.845137 + 0.534550i \(0.179519\pi\)
0.359401 + 0.933183i \(0.382981\pi\)
\(422\) 3.38274 4.01695i 0.164669 0.195542i
\(423\) −2.78949 2.44632i −0.135630 0.118944i
\(424\) −20.9896 + 11.9704i −1.01935 + 0.581334i
\(425\) 27.9453 24.5073i 1.35554 1.18878i
\(426\) −51.1182 12.6044i −2.47668 0.610683i
\(427\) −7.40403 + 2.23044i −0.358306 + 0.107939i
\(428\) 3.13232 3.17885i 0.151406 0.153656i
\(429\) 5.94635 + 0.981746i 0.287092 + 0.0473992i
\(430\) 23.3629 19.9705i 1.12666 0.963063i
\(431\) −1.72788 + 13.1246i −0.0832293 + 0.632189i 0.898091 + 0.439809i \(0.144954\pi\)
−0.981321 + 0.192380i \(0.938379\pi\)
\(432\) −45.2485 + 33.4453i −2.17702 + 1.60914i
\(433\) −4.02788 1.66840i −0.193568 0.0801784i 0.283794 0.958885i \(-0.408407\pi\)
−0.477362 + 0.878707i \(0.658407\pi\)
\(434\) −10.1920 31.5296i −0.489230 1.51347i
\(435\) −12.6718 + 1.24807i −0.607569 + 0.0598403i
\(436\) −10.6696 + 3.70979i −0.510981 + 0.177667i
\(437\) −4.20472 + 2.61466i −0.201139 + 0.125076i
\(438\) 7.87569 20.1468i 0.376315 0.962652i
\(439\) −36.8477 2.41512i −1.75864 0.115268i −0.848404 0.529349i \(-0.822436\pi\)
−0.910240 + 0.414082i \(0.864103\pi\)
\(440\) −27.2494 19.7462i −1.29907 0.941364i
\(441\) 3.17540 + 51.4820i 0.151210 + 2.45153i
\(442\) −2.75422 0.125131i −0.131005 0.00595185i
\(443\) −14.4322 + 6.53914i −0.685694 + 0.310684i −0.725203 0.688535i \(-0.758254\pi\)
0.0395086 + 0.999219i \(0.487421\pi\)
\(444\) −34.4866 + 13.2709i −1.63666 + 0.629810i
\(445\) −23.9911 + 22.4701i −1.13729 + 1.06519i
\(446\) 20.0792 + 20.5948i 0.950776 + 0.975191i
\(447\) 8.78219i 0.415384i
\(448\) 21.1643 + 0.265220i 0.999921 + 0.0125305i
\(449\) 4.18667i 0.197581i 0.995108 + 0.0987905i \(0.0314974\pi\)
−0.995108 + 0.0987905i \(0.968503\pi\)
\(450\) −93.8126 + 91.4639i −4.42237 + 4.31165i
\(451\) −2.13299 + 1.99776i −0.100439 + 0.0940710i
\(452\) −26.2189 11.6474i −1.23323 0.547848i
\(453\) 9.73128 4.40919i 0.457215 0.207162i
\(454\) −1.20321 + 26.4835i −0.0564693 + 1.24293i
\(455\) −6.08932 + 4.05183i −0.285472 + 0.189953i
\(456\) 3.16659 + 5.15304i 0.148289 + 0.241313i
\(457\) −1.84050 0.120633i −0.0860948 0.00564295i 0.0222948 0.999751i \(-0.492903\pi\)
−0.108390 + 0.994108i \(0.534569\pi\)
\(458\) −8.72417 3.41041i −0.407653 0.159358i
\(459\) 35.3140 21.9597i 1.64832 1.02499i
\(460\) 27.2338 56.2666i 1.26978 2.62344i
\(461\) 3.19857 0.315032i 0.148972 0.0146725i −0.0232560 0.999730i \(-0.507403\pi\)
0.172228 + 0.985057i \(0.444903\pi\)
\(462\) 33.4370 + 7.16004i 1.55563 + 0.333115i
\(463\) 17.3645 + 7.19260i 0.806995 + 0.334268i 0.747754 0.663975i \(-0.231132\pi\)
0.0592407 + 0.998244i \(0.481132\pi\)
\(464\) −1.60774 3.41356i −0.0746376 0.158471i
\(465\) −15.6033 + 118.519i −0.723585 + 5.49618i
\(466\) −8.59345 10.0532i −0.398084 0.465706i
\(467\) 11.7834 + 1.94545i 0.545273 + 0.0900249i 0.429189 0.903215i \(-0.358799\pi\)
0.116083 + 0.993239i \(0.462966\pi\)
\(468\) 9.71835 0.0716520i 0.449231 0.00331211i
\(469\) 3.16393 + 2.97480i 0.146097 + 0.137363i
\(470\) 0.714638 2.89828i 0.0329638 0.133688i
\(471\) 3.31331 2.90570i 0.152669 0.133887i
\(472\) 7.77605 + 6.03256i 0.357922 + 0.277671i
\(473\) 11.0627 + 9.70168i 0.508661 + 0.446084i
\(474\) 54.4638 + 45.8648i 2.50160 + 2.10664i
\(475\) 5.29695 + 6.45436i 0.243041 + 0.296146i
\(476\) −15.5758 1.44843i −0.713913 0.0663888i
\(477\) −55.5162 + 29.6740i −2.54191 + 1.35868i
\(478\) 13.5680 5.41959i 0.620586 0.247886i
\(479\) 8.05718 + 30.0698i 0.368142 + 1.37392i 0.863111 + 0.505014i \(0.168513\pi\)
−0.494969 + 0.868911i \(0.664821\pi\)
\(480\) −68.5538 33.6308i −3.12904 1.53503i
\(481\) 3.65497 + 0.979346i 0.166652 + 0.0446543i
\(482\) −6.70721 + 5.01284i −0.305505 + 0.228329i
\(483\) −2.20046 + 63.4817i −0.100124 + 2.88852i
\(484\) −2.73794 + 5.21443i −0.124452 + 0.237020i
\(485\) 37.7782 + 14.2187i 1.71542 + 0.645638i
\(486\) −37.6633 + 26.2730i −1.70844 + 1.19177i
\(487\) 0.641583 + 0.562653i 0.0290729 + 0.0254962i 0.673759 0.738951i \(-0.264679\pi\)
−0.644686 + 0.764447i \(0.723012\pi\)
\(488\) 1.56971 + 8.11619i 0.0710575 + 0.367403i
\(489\) −54.8700 + 10.9143i −2.48131 + 0.493562i
\(490\) −35.5983 + 21.3290i −1.60817 + 0.963545i
\(491\) −2.34941 7.74498i −0.106028 0.349526i 0.887833 0.460166i \(-0.152210\pi\)
−0.993861 + 0.110640i \(0.964710\pi\)
\(492\) −3.99796 + 5.29056i −0.180242 + 0.238517i
\(493\) 0.982298 + 2.60990i 0.0442405 + 0.117544i
\(494\) 0.0483376 0.617454i 0.00217481 0.0277806i
\(495\) −69.5524 53.3695i −3.12615 2.39878i
\(496\) −34.6375 + 7.42237i −1.55527 + 0.333274i
\(497\) 18.5747 + 24.3037i 0.833191 + 1.09017i
\(498\) −3.89207 73.6816i −0.174408 3.30175i
\(499\) −22.1851 + 15.8976i −0.993142 + 0.711675i −0.957721 0.287697i \(-0.907110\pi\)
−0.0354204 + 0.999372i \(0.511277\pi\)
\(500\) −60.2727 19.9655i −2.69548 0.892884i
\(501\) 44.2475 27.5148i 1.97683 1.22927i
\(502\) 9.26384 + 1.03113i 0.413466 + 0.0460217i
\(503\) −32.8035 21.9186i −1.46264 0.977302i −0.995663 0.0930306i \(-0.970345\pi\)
−0.466973 0.884272i \(-0.654655\pi\)
\(504\) 55.0972 + 2.20243i 2.45422 + 0.0981042i
\(505\) −4.95092 7.40958i −0.220313 0.329722i
\(506\) 28.5254 + 9.04950i 1.26811 + 0.402299i
\(507\) 32.8877 + 23.5670i 1.46060 + 1.04665i
\(508\) −0.799063 + 31.5117i −0.0354527 + 1.39811i
\(509\) −1.67556 7.18607i −0.0742678 0.318517i 0.923633 0.383278i \(-0.125205\pi\)
−0.997901 + 0.0647609i \(0.979372\pi\)
\(510\) 48.5114 + 28.8341i 2.14812 + 1.27679i
\(511\) −10.8961 + 6.26297i −0.482017 + 0.277058i
\(512\) 2.57585 22.4803i 0.113838 0.993499i
\(513\) 4.67080 + 8.09006i 0.206221 + 0.357185i
\(514\) 11.5526 + 20.6087i 0.509565 + 0.909011i
\(515\) 13.7810 12.9073i 0.607263 0.568764i
\(516\) 28.4819 + 17.4213i 1.25385 + 0.766932i
\(517\) 1.42220 + 0.140074i 0.0625483 + 0.00616047i
\(518\) 20.4514 + 6.53140i 0.898582 + 0.286973i
\(519\) −56.3455 + 37.6489i −2.47329 + 1.65260i
\(520\) 3.64932 + 6.91536i 0.160033 + 0.303258i
\(521\) −9.47003 19.2033i −0.414890 0.841313i −0.999549 0.0300340i \(-0.990438\pi\)
0.584659 0.811279i \(-0.301228\pi\)
\(522\) −3.94305 9.00442i −0.172583 0.394113i
\(523\) 0.502000 + 15.3345i 0.0219509 + 0.670531i 0.952531 + 0.304442i \(0.0984701\pi\)
−0.930580 + 0.366089i \(0.880697\pi\)
\(524\) 22.4170 4.63109i 0.979292 0.202310i
\(525\) 106.619 10.2940i 4.65325 0.449267i
\(526\) 10.5821 0.558975i 0.461401 0.0243725i
\(527\) 25.9563 3.41722i 1.13068 0.148856i
\(528\) 11.2388 34.7854i 0.489108 1.51384i
\(529\) −4.25394 + 32.3119i −0.184954 + 1.40487i
\(530\) −41.7508 28.6691i −1.81354 1.24530i
\(531\) 19.8195 + 16.2654i 0.860091 + 0.705859i
\(532\) 0.439681 3.48640i 0.0190626 0.151155i
\(533\) 0.649807 0.197117i 0.0281463 0.00853808i
\(534\) −31.2752 17.2301i −1.35341 0.745621i
\(535\) 8.85766 + 3.00677i 0.382950 + 0.129994i
\(536\) 3.50671 3.04256i 0.151467 0.131418i
\(537\) 28.8788 9.80305i 1.24621 0.423033i
\(538\) −3.10082 + 6.61917i −0.133686 + 0.285372i
\(539\) −12.5444 15.4060i −0.540327 0.663582i
\(540\) −104.418 54.8269i −4.49345 2.35937i
\(541\) 20.5953 33.1200i 0.885463 1.42394i −0.0201330 0.999797i \(-0.506409\pi\)
0.905596 0.424142i \(-0.139424\pi\)
\(542\) −34.3562 + 4.08075i −1.47573 + 0.175283i
\(543\) −10.8981 40.6724i −0.467684 1.74542i
\(544\) −3.22855 + 16.4084i −0.138423 + 0.703505i
\(545\) −16.7421 16.7421i −0.717152 0.717152i
\(546\) −6.23221 4.92836i −0.266714 0.210914i
\(547\) 3.24827 + 6.07708i 0.138886 + 0.259837i 0.941742 0.336335i \(-0.109187\pi\)
−0.802856 + 0.596172i \(0.796687\pi\)
\(548\) −15.1734 + 7.01028i −0.648176 + 0.299464i
\(549\) 3.50811 + 21.2483i 0.149722 + 0.906855i
\(550\) 8.85114 49.6835i 0.377414 2.11851i
\(551\) −0.593192 + 0.201362i −0.0252708 + 0.00857829i
\(552\) 67.2766 + 9.22037i 2.86348 + 0.392445i
\(553\) −7.99259 40.5895i −0.339880 1.72604i
\(554\) 32.4521 + 8.00181i 1.37876 + 0.339964i
\(555\) −56.5292 52.9454i −2.39953 2.24741i
\(556\) 13.3979 + 7.60412i 0.568197 + 0.322487i
\(557\) 1.90131 + 5.05167i 0.0805612 + 0.214046i 0.970047 0.242916i \(-0.0781041\pi\)
−0.889486 + 0.456962i \(0.848937\pi\)
\(558\) −90.7329 + 16.8552i −3.84103 + 0.713537i
\(559\) −1.30836 3.15865i −0.0553376 0.133597i
\(560\) 18.8260 + 40.1718i 0.795545 + 1.69757i
\(561\) −10.3390 + 24.9605i −0.436512 + 1.05383i
\(562\) 1.42375 6.71188i 0.0600573 0.283123i
\(563\) 14.0251 + 6.35469i 0.591087 + 0.267818i 0.685922 0.727675i \(-0.259399\pi\)
−0.0948351 + 0.995493i \(0.530232\pi\)
\(564\) 3.23411 0.235933i 0.136180 0.00993458i
\(565\) −1.96752 60.1017i −0.0827744 2.52850i
\(566\) −35.3037 + 5.36989i −1.48393 + 0.225713i
\(567\) 61.2155 + 4.13058i 2.57081 + 0.173468i
\(568\) 27.8610 17.1209i 1.16902 0.718377i
\(569\) 17.9568 + 8.85530i 0.752787 + 0.371234i 0.777848 0.628452i \(-0.216311\pi\)
−0.0250608 + 0.999686i \(0.507978\pi\)
\(570\) −6.83034 + 10.6798i −0.286092 + 0.447327i
\(571\) 1.35372 + 0.970059i 0.0566512 + 0.0405957i 0.610450 0.792055i \(-0.290989\pi\)
−0.553798 + 0.832651i \(0.686822\pi\)
\(572\) −3.02662 + 2.20280i −0.126549 + 0.0921035i
\(573\) −6.13374 + 20.2202i −0.256241 + 0.844712i
\(574\) 3.73564 0.942728i 0.155923 0.0393487i
\(575\) 93.7442 3.90940
\(576\) 8.31377 58.3592i 0.346407 2.43163i
\(577\) 16.7164 28.9536i 0.695911 1.20535i −0.273961 0.961741i \(-0.588334\pi\)
0.969873 0.243613i \(-0.0783327\pi\)
\(578\) −3.16640 + 11.2450i −0.131705 + 0.467731i
\(579\) −10.1740 43.6338i −0.422816 1.81336i
\(580\) 4.97204 6.15036i 0.206453 0.255380i
\(581\) −25.0370 + 34.7975i −1.03871 + 1.44364i
\(582\) −1.99010 + 43.8037i −0.0824923 + 1.81572i
\(583\) 10.7239 21.7459i 0.444139 0.900624i
\(584\) 5.47998 + 12.2672i 0.226763 + 0.507622i
\(585\) 9.00958 + 18.2696i 0.372500 + 0.755356i
\(586\) 28.0419 + 35.0663i 1.15840 + 1.44857i
\(587\) −6.15699 + 11.5189i −0.254126 + 0.475436i −0.976342 0.216231i \(-0.930624\pi\)
0.722216 + 0.691667i \(0.243124\pi\)
\(588\) −33.9977 29.6039i −1.40204 1.22084i
\(589\) 0.576450 + 5.85279i 0.0237522 + 0.241160i
\(590\) −4.28052 + 20.1793i −0.176226 + 0.830769i
\(591\) −26.6113 34.6805i −1.09464 1.42657i
\(592\) 9.16289 21.0429i 0.376593 0.864859i
\(593\) −14.5492 11.1640i −0.597463 0.458450i 0.265224 0.964187i \(-0.414554\pi\)
−0.862688 + 0.505737i \(0.831221\pi\)
\(594\) 18.8251 53.2305i 0.772405 2.18408i
\(595\) −11.4905 30.7085i −0.471063 1.25893i
\(596\) 3.88541 + 3.82854i 0.159153 + 0.156823i
\(597\) −0.216044 + 0.230668i −0.00884209 + 0.00944060i
\(598\) −5.01450 4.81736i −0.205058 0.196997i
\(599\) 32.9278 + 11.1775i 1.34539 + 0.456699i 0.898926 0.438101i \(-0.144349\pi\)
0.446467 + 0.894800i \(0.352682\pi\)
\(600\) 0.607292 114.509i 0.0247926 4.67483i
\(601\) −7.28087 1.44826i −0.296993 0.0590756i 0.0443448 0.999016i \(-0.485880\pi\)
−0.341338 + 0.939941i \(0.610880\pi\)
\(602\) −6.56719 18.2526i −0.267659 0.743921i
\(603\) 9.34950 7.67293i 0.380741 0.312466i
\(604\) −2.29158 + 6.22747i −0.0932430 + 0.253392i
\(605\) −12.3379 0.403902i −0.501608 0.0164210i
\(606\) 5.98998 7.60472i 0.243326 0.308921i
\(607\) 23.2631 + 6.23332i 0.944219 + 0.253003i 0.697907 0.716188i \(-0.254115\pi\)
0.246311 + 0.969191i \(0.420781\pi\)
\(608\) −3.66026 0.845471i −0.148443 0.0342884i
\(609\) −2.09490 + 7.75854i −0.0848897 + 0.314392i
\(610\) −13.8790 + 10.3729i −0.561943 + 0.419985i
\(611\) −0.281982 0.175347i −0.0114078 0.00709380i
\(612\) −9.57982 + 42.5001i −0.387241 + 1.71797i
\(613\) −1.60091 9.69654i −0.0646600 0.391640i −0.999346 0.0361649i \(-0.988486\pi\)
0.934686 0.355475i \(-0.115681\pi\)
\(614\) 2.01011 0.172282i 0.0811215 0.00695273i
\(615\) −13.6322 2.71161i −0.549702 0.109343i
\(616\) −17.7444 + 11.6718i −0.714941 + 0.470270i
\(617\) −1.52271 7.65520i −0.0613022 0.308187i 0.937954 0.346761i \(-0.112718\pi\)
−0.999256 + 0.0385741i \(0.987718\pi\)
\(618\) 17.9651 + 9.89737i 0.722664 + 0.398131i
\(619\) 3.13981 13.4659i 0.126200 0.541240i −0.872422 0.488753i \(-0.837452\pi\)
0.998622 0.0524872i \(-0.0167149\pi\)
\(620\) −45.6329 58.5707i −1.83266 2.35226i
\(621\) 103.480 + 17.0847i 4.15252 + 0.685584i
\(622\) −12.3192 + 5.88220i −0.493954 + 0.235855i
\(623\) 7.90222 + 19.1820i 0.316596 + 0.768509i
\(624\) −5.91694 + 6.09406i −0.236867 + 0.243957i
\(625\) −9.16525 69.6170i −0.366610 2.78468i
\(626\) −10.8987 5.54746i −0.435598 0.221721i
\(627\) −5.52810 2.50475i −0.220771 0.100030i
\(628\) −0.158880 + 2.73259i −0.00633999 + 0.109042i
\(629\) −7.99602 + 14.9595i −0.318822 + 0.596475i
\(630\) 46.1573 + 105.960i 1.83895 + 4.22154i
\(631\) 18.8082 28.1485i 0.748745 1.12058i −0.239972 0.970780i \(-0.577138\pi\)
0.988717 0.149796i \(-0.0478616\pi\)
\(632\) −44.0346 + 4.10136i −1.75160 + 0.163143i
\(633\) 0.782042 + 11.9317i 0.0310834 + 0.474241i
\(634\) −3.73564 + 0.821245i −0.148361 + 0.0326158i
\(635\) −60.1810 + 27.2677i −2.38821 + 1.08208i
\(636\) 15.5820 52.7643i 0.617866 2.09224i
\(637\) 1.03094 + 4.49967i 0.0408471 + 0.178283i
\(638\) 3.25471 + 1.93453i 0.128855 + 0.0765886i
\(639\) 73.7786 42.5961i 2.91864 1.68508i
\(640\) 44.7645 15.6684i 1.76947 0.619348i
\(641\) 13.6104 23.5739i 0.537578 0.931112i −0.461456 0.887163i \(-0.652673\pi\)
0.999034 0.0439486i \(-0.0139938\pi\)
\(642\) −0.128803 + 10.1605i −0.00508344 + 0.401004i
\(643\) −6.43164 + 21.2023i −0.253639 + 0.836136i 0.733967 + 0.679185i \(0.237666\pi\)
−0.987606 + 0.156951i \(0.949834\pi\)
\(644\) −27.1263 28.6480i −1.06892 1.12889i
\(645\) −6.85931 + 69.6437i −0.270085 + 2.74222i
\(646\) 2.64640 + 0.839554i 0.104121 + 0.0330318i
\(647\) −34.8988 + 2.28739i −1.37201 + 0.0899266i −0.733503 0.679686i \(-0.762116\pi\)
−0.638511 + 0.769613i \(0.720449\pi\)
\(648\) 11.0275 64.6573i 0.433202 2.53998i
\(649\) −9.85445 0.645895i −0.386821 0.0253536i
\(650\) −6.95041 + 9.44410i −0.272617 + 0.370428i
\(651\) 66.4699 + 35.6935i 2.60516 + 1.39894i
\(652\) 19.0915 29.0336i 0.747681 1.13704i
\(653\) −10.0021 13.9578i −0.391410 0.546213i 0.569888 0.821723i \(-0.306987\pi\)
−0.961298 + 0.275510i \(0.911153\pi\)
\(654\) 11.6672 22.9217i 0.456225 0.896309i
\(655\) 29.2075 + 38.0640i 1.14123 + 1.48728i
\(656\) −0.597760 4.07516i −0.0233386 0.159108i
\(657\) 13.3947 + 32.3377i 0.522578 + 1.26161i
\(658\) −1.55104 1.06945i −0.0604660 0.0416917i
\(659\) −6.12077 + 7.45818i −0.238431 + 0.290529i −0.878454 0.477826i \(-0.841425\pi\)
0.640023 + 0.768356i \(0.278925\pi\)
\(660\) 75.8905 10.5610i 2.95404 0.411085i
\(661\) −1.47513 0.343952i −0.0573759 0.0133782i 0.198290 0.980143i \(-0.436461\pi\)
−0.255666 + 0.966765i \(0.582295\pi\)
\(662\) 24.7264 0.495801i 0.961017 0.0192698i
\(663\) 4.71972 4.13908i 0.183299 0.160749i
\(664\) 34.2949 + 30.3991i 1.33090 + 1.17971i
\(665\) 6.97909 2.35412i 0.270637 0.0912887i
\(666\) 25.3651 54.1454i 0.982876 2.09809i
\(667\) −2.47745 + 6.58243i −0.0959272 + 0.254873i
\(668\) −7.11629 + 31.5709i −0.275338 + 1.22151i
\(669\) −65.4557 2.14280i −2.53066 0.0828454i
\(670\) 8.94240 + 3.83757i 0.345475 + 0.148258i
\(671\) −5.86551 5.86551i −0.226435 0.226435i
\(672\) −35.1695 + 32.9494i −1.35669 + 1.27105i
\(673\) −2.74430 + 2.74430i −0.105785 + 0.105785i −0.758018 0.652233i \(-0.773832\pi\)
0.652233 + 0.758018i \(0.273832\pi\)
\(674\) −1.31980 + 0.527178i −0.0508366 + 0.0203061i
\(675\) 5.78683 176.769i 0.222735 6.80386i
\(676\) −24.7637 + 4.27629i −0.952450 + 0.164473i
\(677\) −21.7122 8.17191i −0.834469 0.314072i −0.101925 0.994792i \(-0.532500\pi\)
−0.732544 + 0.680720i \(0.761667\pi\)
\(678\) 61.4233 22.2334i 2.35895 0.853867i
\(679\) 16.8344 19.1216i 0.646045 0.733820i
\(680\) −33.9050 + 8.89236i −1.30020 + 0.341007i
\(681\) −39.7998 45.3830i −1.52513 1.73908i
\(682\) 24.6258 25.6336i 0.942970 0.981560i
\(683\) −1.66096 + 7.12345i −0.0635547 + 0.272571i −0.996071 0.0885561i \(-0.971775\pi\)
0.932516 + 0.361127i \(0.117608\pi\)
\(684\) −9.47166 2.46322i −0.362158 0.0941837i
\(685\) −27.0816 22.2253i −1.03474 0.849186i
\(686\) 4.63498 + 25.7782i 0.176964 + 0.984217i
\(687\) 19.7044 8.16183i 0.751770 0.311393i
\(688\) −20.1241 + 5.00625i −0.767223 + 0.190861i
\(689\) −4.46958 + 3.42963i −0.170277 + 0.130658i
\(690\) 44.0387 + 135.347i 1.67653 + 5.15256i
\(691\) −12.7861 + 9.16236i −0.486405 + 0.348553i −0.798997 0.601335i \(-0.794636\pi\)
0.312593 + 0.949887i \(0.398803\pi\)
\(692\) 7.90686 41.3411i 0.300574 1.57155i
\(693\) −47.0435 + 29.1282i −1.78704 + 1.10649i
\(694\) −26.4470 + 4.02273i −1.00391 + 0.152701i
\(695\) −2.11186 + 32.2208i −0.0801075 + 1.22220i
\(696\) 8.02445 + 3.06887i 0.304166 + 0.116325i
\(697\) 0.199088 + 3.03750i 0.00754101 + 0.115054i
\(698\) −13.3989 + 6.94495i −0.507156 + 0.262870i
\(699\) 29.9682 + 2.95161i 1.13350 + 0.111640i
\(700\) −41.9258 + 51.6581i −1.58465 + 1.95249i
\(701\) 13.6375 + 4.13688i 0.515080 + 0.156248i 0.537115 0.843509i \(-0.319514\pi\)
−0.0220343 + 0.999757i \(0.507014\pi\)
\(702\) −9.39344 + 9.15826i −0.354533 + 0.345656i
\(703\) −3.29992 1.90521i −0.124459 0.0718563i
\(704\) 10.4903 + 20.1368i 0.395366 + 0.758933i
\(705\) 3.39837 + 5.88616i 0.127990 + 0.221686i
\(706\) 12.6409 3.21595i 0.475746 0.121034i
\(707\) −5.47987 + 1.26661i −0.206092 + 0.0476359i
\(708\) −22.2838 + 2.36078i −0.837478 + 0.0887234i
\(709\) 16.0721 + 35.4719i 0.603601 + 1.33218i 0.923089 + 0.384585i \(0.125656\pi\)
−0.319489 + 0.947590i \(0.603511\pi\)
\(710\) 57.7426 + 36.9297i 2.16704 + 1.38595i
\(711\) −114.968 + 7.53539i −4.31163 + 0.282599i
\(712\) 21.2572 6.32538i 0.796646 0.237054i
\(713\) 54.9013 + 36.6839i 2.05607 + 1.37382i
\(714\) 27.8596 22.1911i 1.04262 0.830481i
\(715\) −6.91967 3.69864i −0.258781 0.138321i
\(716\) −8.25249 + 17.0501i −0.308410 + 0.637194i
\(717\) −13.7292 + 30.3011i −0.512728 + 1.13161i
\(718\) 9.97639 + 30.6610i 0.372315 + 1.14426i
\(719\) −41.4254 + 5.45376i −1.54491 + 0.203391i −0.854277 0.519817i \(-0.826000\pi\)
−0.690630 + 0.723208i \(0.742667\pi\)
\(720\) 117.695 37.6061i 4.38623 1.40150i
\(721\) −4.53921 11.0185i −0.169049 0.410352i
\(722\) 8.75098 24.7445i 0.325678 0.920897i
\(723\) 3.10570 18.8109i 0.115502 0.699586i
\(724\) 22.7452 + 12.9093i 0.845321 + 0.479771i
\(725\) 11.5505 + 2.69319i 0.428974 + 0.100023i
\(726\) −3.72971 12.8808i −0.138422 0.478050i
\(727\) −39.8299 + 7.92265i −1.47721 + 0.293835i −0.866961 0.498376i \(-0.833930\pi\)
−0.610247 + 0.792211i \(0.708930\pi\)
\(728\) 4.89730 0.608767i 0.181506 0.0225624i
\(729\) 6.82608 34.3170i 0.252818 1.27100i
\(730\) −18.1398 + 21.5407i −0.671384 + 0.797257i
\(731\) 15.1215 2.49657i 0.559289 0.0923389i
\(732\) −15.3800 10.8504i −0.568461 0.401043i
\(733\) −3.59912 + 5.78786i −0.132937 + 0.213779i −0.908916 0.416978i \(-0.863089\pi\)
0.775980 + 0.630758i \(0.217256\pi\)
\(734\) −41.0320 5.93202i −1.51452 0.218955i
\(735\) 24.8066 91.1746i 0.915005 3.36303i
\(736\) −33.4081 + 25.7449i −1.23144 + 0.948971i
\(737\) −1.20575 + 4.49991i −0.0444142 + 0.165756i
\(738\) −1.26560 10.6552i −0.0465874 0.392224i
\(739\) −1.03264 + 31.5439i −0.0379863 + 1.16036i 0.794837 + 0.606823i \(0.207556\pi\)
−0.832823 + 0.553539i \(0.813277\pi\)
\(740\) 48.0676 1.92843i 1.76700 0.0708906i
\(741\) 0.894611 + 1.09009i 0.0328644 + 0.0400453i
\(742\) −26.2515 + 18.2375i −0.963724 + 0.669518i
\(743\) 1.27417 6.40568i 0.0467447 0.235001i −0.950349 0.311186i \(-0.899274\pi\)
0.997094 + 0.0761845i \(0.0242738\pi\)
\(744\) 45.1653 66.8248i 1.65584 2.44992i
\(745\) −3.67509 + 10.8265i −0.134645 + 0.396651i
\(746\) −29.2175 + 0.585855i −1.06973 + 0.0214497i
\(747\) 87.1393 + 81.6149i 3.18826 + 2.98613i
\(748\) −6.53580 15.4555i −0.238973 0.565110i
\(749\) 3.75405 4.55642i 0.137170 0.166488i
\(750\) 130.460 62.2923i 4.76371 2.27459i
\(751\) 24.2380 31.5876i 0.884458 1.15265i −0.102987 0.994683i \(-0.532840\pi\)
0.987445 0.157965i \(-0.0504933\pi\)
\(752\) −1.30551 + 1.53369i −0.0476069 + 0.0559277i
\(753\) −16.8374 + 12.9198i −0.613590 + 0.470824i
\(754\) −0.479452 0.737623i −0.0174606 0.0268626i
\(755\) −13.8416 + 1.36328i −0.503747 + 0.0496147i
\(756\) −55.6948 + 49.3824i −2.02560 + 1.79602i
\(757\) −18.3524 9.80957i −0.667030 0.356535i 0.102874 0.994694i \(-0.467196\pi\)
−0.769904 + 0.638160i \(0.779696\pi\)
\(758\) 1.36706 12.2819i 0.0496539 0.446098i
\(759\) −61.1125 + 30.1374i −2.21824 + 1.09392i
\(760\) −1.74730 7.67766i −0.0633812 0.278498i
\(761\) 2.53456 + 1.24991i 0.0918778 + 0.0453091i 0.487647 0.873041i \(-0.337855\pi\)
−0.395769 + 0.918350i \(0.629522\pi\)
\(762\) −48.3949 53.0016i −1.75316 1.92004i
\(763\) −13.6232 + 6.14104i −0.493194 + 0.222321i
\(764\) −6.27186 11.5286i −0.226908 0.417089i
\(765\) −88.9304 + 20.7357i −3.21529 + 0.749700i
\(766\) −19.6129 + 10.9944i −0.708642 + 0.397244i
\(767\) 1.98722 + 1.14732i 0.0717545 + 0.0414275i
\(768\) 31.2313 + 40.9751i 1.12696 + 1.47856i
\(769\) 25.5987i 0.923112i 0.887111 + 0.461556i \(0.152709\pi\)
−0.887111 + 0.461556i \(0.847291\pi\)
\(770\) −38.2239 22.8191i −1.37749 0.822342i
\(771\) −51.4774 15.6155i −1.85391 0.562379i
\(772\) 23.7397 + 14.5207i 0.854412 + 0.522612i
\(773\) −16.3763 + 22.8531i −0.589016 + 0.821970i −0.995800 0.0915539i \(-0.970817\pi\)
0.406785 + 0.913524i \(0.366650\pi\)
\(774\) −52.7646 + 11.5998i −1.89659 + 0.416947i
\(775\) 49.2475 99.8640i 1.76902 3.58722i
\(776\) −18.5120 19.9764i −0.664543 0.717111i
\(777\) −43.8831 + 21.5359i −1.57430 + 0.772596i
\(778\) −15.6283 + 21.2354i −0.560300 + 0.761327i
\(779\) −0.683439 + 0.0223735i −0.0244867 + 0.000801613i
\(780\) −16.9004 5.59830i −0.605132 0.200451i
\(781\) −13.5425 + 29.8889i −0.484588 + 1.06951i
\(782\) 26.1355 16.9880i 0.934603 0.607488i
\(783\) 12.2593 + 5.07796i 0.438111 + 0.181471i
\(784\) 27.9184 2.13565i 0.997087 0.0762731i
\(785\) −5.30051 + 2.19554i −0.189183 + 0.0783623i
\(786\) −29.5028 + 42.9650i −1.05233 + 1.53251i
\(787\) −38.8292 + 14.6143i −1.38411 + 0.520943i −0.929194 0.369591i \(-0.879498\pi\)
−0.454917 + 0.890534i \(0.650331\pi\)
\(788\) 26.9444 + 3.34539i 0.959854 + 0.119175i
\(789\) −16.4937 + 17.6101i −0.587190 + 0.626937i
\(790\) −47.9484 79.3324i −1.70593 2.82252i
\(791\) −35.9151 12.2686i −1.27699 0.436223i
\(792\) 25.8804 + 53.1894i 0.919618 + 1.89000i
\(793\) 0.619545 + 1.82512i 0.0220007 + 0.0648119i
\(794\) −10.2574 14.7043i −0.364021 0.521837i
\(795\) 113.776 18.7845i 4.03523 0.666219i
\(796\) −0.00786898 0.196140i −0.000278909 0.00695201i
\(797\) 14.0408 7.50496i 0.497350 0.265839i −0.203594 0.979055i \(-0.565262\pi\)
0.700944 + 0.713216i \(0.252762\pi\)
\(798\) 4.77755 + 6.41810i 0.169123 + 0.227198i
\(799\) 1.05255 1.05255i 0.0372365 0.0372365i
\(800\) 50.3964 + 50.1883i 1.78178 + 1.77442i
\(801\) 55.8097 14.9542i 1.97194 0.528379i
\(802\) 9.25243 11.7467i 0.326715 0.414789i
\(803\) −11.4489 7.11936i −0.404021 0.251237i
\(804\) −0.958536 + 10.5273i −0.0338050 + 0.371269i
\(805\) 29.2779 77.3377i 1.03191 2.72580i
\(806\) −7.76616 + 2.81111i −0.273551 + 0.0990173i
\(807\) −5.34970 15.7597i −0.188318 0.554768i
\(808\) 0.753186 + 5.96531i 0.0264970 + 0.209859i
\(809\) 7.55087 22.2442i 0.265475 0.782063i −0.729684 0.683784i \(-0.760333\pi\)
0.995159 0.0982787i \(-0.0313337\pi\)
\(810\) 132.055 38.2374i 4.63994 1.34353i
\(811\) −6.13369 20.2201i −0.215383 0.710023i −0.996343 0.0854419i \(-0.972770\pi\)
0.780960 0.624581i \(-0.214730\pi\)
\(812\) −2.51927 4.30911i −0.0884090 0.151220i
\(813\) 49.9747 60.8943i 1.75269 2.13566i
\(814\) 4.20633 + 22.6430i 0.147432 + 0.793638i
\(815\) 72.2095 + 9.50657i 2.52939 + 0.333001i
\(816\) −20.5816 32.0348i −0.720502 1.12144i
\(817\) 0.449383 + 3.41341i 0.0157219 + 0.119420i
\(818\) −29.9013 + 33.2364i −1.04547 + 1.16208i
\(819\) 12.7970 1.23554i 0.447164 0.0431732i
\(820\) 7.14253 4.84903i 0.249428 0.169336i
\(821\) −11.4301 + 0.374182i −0.398912 + 0.0130590i −0.231517 0.972831i \(-0.574369\pi\)
−0.167395 + 0.985890i \(0.553536\pi\)
\(822\) 13.8561 35.4453i 0.483288 1.23630i
\(823\) 4.62711 2.28184i 0.161291 0.0795399i −0.359852 0.933010i \(-0.617173\pi\)
0.521143 + 0.853470i \(0.325506\pi\)
\(824\) −12.2106 + 3.63344i −0.425376 + 0.126577i
\(825\) 63.8381 + 95.5405i 2.22256 + 3.32629i
\(826\) 10.9545 + 7.03577i 0.381155 + 0.244806i
\(827\) −2.41859 + 24.5563i −0.0841026 + 0.853908i 0.856894 + 0.515492i \(0.172391\pi\)
−0.940997 + 0.338415i \(0.890109\pi\)
\(828\) −88.8402 + 64.6586i −3.08741 + 2.24704i
\(829\) −6.11297 6.52675i −0.212312 0.226683i 0.614854 0.788641i \(-0.289215\pi\)
−0.827166 + 0.561958i \(0.810048\pi\)
\(830\) −26.0355 + 92.4614i −0.903706 + 3.20938i
\(831\) −65.9074 + 38.0517i −2.28630 + 1.32000i
\(832\) −0.116680 5.27443i −0.00404515 0.182858i
\(833\) −20.6935 0.0796309i −0.716988 0.00275905i
\(834\) −33.9937 + 8.64827i −1.17710 + 0.299465i
\(835\) −66.0612 + 15.4033i −2.28614 + 0.533054i
\(836\) 3.51809 1.35381i 0.121676 0.0468226i
\(837\) 72.5623 101.261i 2.50812 3.50008i
\(838\) −18.4469 35.5896i −0.637237 1.22942i
\(839\) −2.77044 + 1.85115i −0.0956463 + 0.0639088i −0.602474 0.798139i \(-0.705818\pi\)
0.506827 + 0.862048i \(0.330818\pi\)
\(840\) −94.2791 36.2642i −3.25294 1.25123i
\(841\) 15.6172 23.3728i 0.538523 0.805957i
\(842\) 43.0292 34.4097i 1.48288 1.18584i
\(843\) 8.24965 + 13.2665i 0.284133 + 0.456923i
\(844\) −5.61973 4.85554i −0.193439 0.167135i
\(845\) −30.6810 42.8153i −1.05546 1.47289i
\(846\) −3.50935 + 3.90077i −0.120654 + 0.134111i
\(847\) −2.99537 + 7.19230i −0.102922 + 0.247130i
\(848\) 16.5511 + 29.8960i 0.568367 + 1.02663i
\(849\) 49.4969 64.5057i 1.69873 2.21383i
\(850\) −34.1549 39.9567i −1.17150 1.37050i
\(851\) −40.0388 + 15.0695i −1.37251 + 0.516577i
\(852\) −18.7402 + 72.0602i −0.642028 + 2.46874i
\(853\) −39.6773 + 12.0360i −1.35852 + 0.412104i −0.883732 0.467994i \(-0.844977\pi\)
−0.474793 + 0.880098i \(0.657477\pi\)
\(854\) 3.02134 + 10.5100i 0.103388 + 0.359645i
\(855\) −4.00191 20.1189i −0.136862 0.688053i
\(856\) −4.43906 4.48640i −0.151724 0.153342i
\(857\) −14.2991 + 16.3050i −0.488449 + 0.556969i −0.942586 0.333963i \(-0.891614\pi\)
0.454138 + 0.890932i \(0.349947\pi\)
\(858\) 1.49488 8.39113i 0.0510345 0.286469i
\(859\) 1.35172 3.59143i 0.0461201 0.122538i −0.910838 0.412763i \(-0.864564\pi\)
0.956958 + 0.290225i \(0.0937303\pi\)
\(860\) −27.8215 33.3954i −0.948705 1.13877i
\(861\) −4.64672 + 7.44057i −0.158360 + 0.253574i
\(862\) 18.5285 + 2.67868i 0.631083 + 0.0912361i
\(863\) −8.05840 + 30.0743i −0.274311 + 1.02374i 0.681991 + 0.731361i \(0.261114\pi\)
−0.956302 + 0.292382i \(0.905552\pi\)
\(864\) 46.4839 + 64.5855i 1.58141 + 2.19724i
\(865\) 85.2162 22.8336i 2.89744 0.776366i
\(866\) −2.43149 + 5.66592i −0.0826255 + 0.192536i
\(867\) −12.5389 23.4586i −0.425843 0.796697i
\(868\) −44.7687 + 13.8472i −1.51955 + 0.470006i
\(869\) 34.3044 28.1529i 1.16370 0.955021i
\(870\) 1.53773 + 17.9416i 0.0521341 + 0.608278i
\(871\) 0.713717 0.813838i 0.0241834 0.0275759i
\(872\) 5.05475 + 15.1544i 0.171175 + 0.513192i
\(873\) −46.7821 53.3448i −1.58333 1.80545i
\(874\) 3.62202 + 5.99276i 0.122517 + 0.202708i
\(875\) −81.7630 19.2304i −2.76409 0.650106i
\(876\) −28.3484 11.4982i −0.957804 0.388487i
\(877\) −6.83216 + 41.3818i −0.230706 + 1.39736i 0.581289 + 0.813697i \(0.302549\pi\)
−0.811994 + 0.583665i \(0.801618\pi\)
\(878\) −4.07577 + 52.0630i −0.137550 + 1.75704i
\(879\) −101.358 13.3440i −3.41871 0.450082i
\(880\) −28.4116 + 38.1794i −0.957755 + 1.28703i
\(881\) 20.1443 48.6327i 0.678679 1.63848i −0.0877455 0.996143i \(-0.527966\pi\)
0.766425 0.642334i \(-0.222034\pi\)
\(882\) 72.8577 3.56746i 2.45325 0.120122i
\(883\) −3.29897 33.4950i −0.111019 1.12720i −0.875723 0.482814i \(-0.839615\pi\)
0.764704 0.644382i \(-0.222885\pi\)
\(884\) −0.226320 + 3.89250i −0.00761196 + 0.130919i
\(885\) −24.8026 39.8859i −0.833731 1.34075i
\(886\) 8.98829 + 20.5258i 0.301967 + 0.689577i
\(887\) −1.60252 + 24.4497i −0.0538072 + 0.820940i 0.882622 + 0.470083i \(0.155776\pi\)
−0.936429 + 0.350856i \(0.885890\pi\)
\(888\) 18.1482 + 49.0054i 0.609014 + 1.64451i
\(889\) 2.64721 + 41.6154i 0.0887846 + 1.39573i
\(890\) 31.3449 + 34.3286i 1.05068 + 1.15070i
\(891\) 27.1631 + 59.9503i 0.909999 + 2.00841i
\(892\) 29.4830 28.0248i 0.987164 0.938338i
\(893\) 0.228581 + 0.244053i 0.00764916 + 0.00816693i
\(894\) −12.4189 0.157432i −0.415350 0.00526530i
\(895\) −39.7034 −1.32714
\(896\) 0.754445 29.9237i 0.0252042 0.999682i
\(897\) 15.8326 0.528635
\(898\) 5.92036 + 0.0750511i 0.197565 + 0.00250449i
\(899\) 5.71064 + 6.09719i 0.190461 + 0.203353i
\(900\) 127.657 + 134.300i 4.25525 + 4.47667i
\(901\) −10.4229 23.0039i −0.347238 0.766370i
\(902\) 2.78680 + 3.05207i 0.0927903 + 0.101623i
\(903\) 39.5750 + 19.6110i 1.31697 + 0.652612i
\(904\) −16.9406 + 36.8674i −0.563437 + 1.22619i
\(905\) −3.58526 + 54.7004i −0.119178 + 1.81830i
\(906\) −6.06058 13.8400i −0.201349 0.459805i
\(907\) 22.1842 + 35.6751i 0.736614 + 1.18457i 0.976864 + 0.213861i \(0.0686039\pi\)
−0.240250 + 0.970711i \(0.577229\pi\)
\(908\) 37.4288 + 2.17620i 1.24212 + 0.0722199i
\(909\) 1.53535 + 15.5887i 0.0509243 + 0.517043i
\(910\) 5.62054 + 8.68355i 0.186319 + 0.287857i
\(911\) 11.9029 28.7362i 0.394362 0.952074i −0.594616 0.804010i \(-0.702696\pi\)
0.988978 0.148064i \(-0.0473041\pi\)
\(912\) 7.34368 4.38551i 0.243174 0.145219i
\(913\) −45.5929 6.00243i −1.50891 0.198651i
\(914\) −0.203580 + 2.60048i −0.00673382 + 0.0860164i
\(915\) 6.42649 38.9247i 0.212453 1.28681i
\(916\) −4.97905 + 12.2757i −0.164512 + 0.405601i
\(917\) 28.9941 8.73438i 0.957469 0.288435i
\(918\) −30.4201 50.3312i −1.00401 1.66118i
\(919\) 3.50691 + 3.99887i 0.115682 + 0.131910i 0.806782 0.590849i \(-0.201207\pi\)
−0.691100 + 0.722759i \(0.742874\pi\)
\(920\) −79.0784 39.5199i −2.60714 1.30293i
\(921\) −3.02877 + 3.45366i −0.0998015 + 0.113802i
\(922\) −0.388148 4.52875i −0.0127830 0.149146i
\(923\) 5.89379 4.83691i 0.193997 0.159209i
\(924\) 10.7244 47.1548i 0.352807 1.55128i
\(925\) 34.0077 + 63.6239i 1.11817 + 2.09194i
\(926\) 10.4823 24.4262i 0.344471 0.802693i
\(927\) −32.0583 + 8.58999i −1.05293 + 0.282132i
\(928\) −4.85593 + 2.21232i −0.159404 + 0.0726229i
\(929\) 12.9556 48.3509i 0.425059 1.58634i −0.338737 0.940881i \(-0.610000\pi\)
0.763795 0.645459i \(-0.223334\pi\)
\(930\) 167.318 + 24.1892i 5.48656 + 0.793195i
\(931\) 0.169976 4.64550i 0.00557072 0.152250i
\(932\) −14.3703 + 11.9718i −0.470714 + 0.392149i
\(933\) 10.9490 29.0908i 0.358454 0.952389i
\(934\) 2.96230 16.6281i 0.0969294 0.544088i
\(935\) 23.1908 26.4441i 0.758422 0.864814i
\(936\) 0.0728903 13.7440i 0.00238249 0.449237i
\(937\) 10.4459 + 52.5151i 0.341253 + 1.71559i 0.646152 + 0.763209i \(0.276377\pi\)
−0.304899 + 0.952385i \(0.598623\pi\)
\(938\) 4.26338 4.42079i 0.139204 0.144344i
\(939\) 26.6458 8.08292i 0.869554 0.263776i
\(940\) −4.08565 1.06252i −0.133259 0.0346557i
\(941\) 31.7305 11.9425i 1.03439 0.389315i 0.223614 0.974678i \(-0.428214\pi\)
0.810772 + 0.585362i \(0.199048\pi\)
\(942\) −4.04955 4.73744i −0.131941 0.154354i
\(943\) −4.67365 + 6.09082i −0.152195 + 0.198344i
\(944\) 8.67004 10.8880i 0.282186 0.354373i
\(945\) −144.025 59.9821i −4.68514 1.95122i
\(946\) 13.9175 15.4698i 0.452496 0.502966i
\(947\) −9.10974 12.7126i −0.296027 0.413105i 0.638152 0.769911i \(-0.279699\pi\)
−0.934179 + 0.356806i \(0.883866\pi\)
\(948\) 65.8338 76.1950i 2.13818 2.47470i
\(949\) 1.65422 + 2.66020i 0.0536983 + 0.0863539i
\(950\) 9.22206 7.37472i 0.299203 0.239268i
\(951\) 4.83834 7.24109i 0.156894 0.234808i
\(952\) −2.32744 + 21.9997i −0.0754328 + 0.713014i
\(953\) 41.1496 27.4953i 1.33296 0.890659i 0.334308 0.942464i \(-0.391498\pi\)
0.998657 + 0.0518055i \(0.0164976\pi\)
\(954\) 40.9668 + 79.0374i 1.32635 + 2.55893i
\(955\) 16.0231 22.3602i 0.518494 0.723558i
\(956\) −7.42062 19.2837i −0.240000 0.623678i
\(957\) −8.39566 + 1.95759i −0.271393 + 0.0632800i
\(958\) 42.6662 10.8546i 1.37848 0.350697i
\(959\) −19.1702 + 11.0188i −0.619037 + 0.355815i
\(960\) −48.7862 + 96.3390i −1.57457 + 3.10933i
\(961\) 41.0737 23.7139i 1.32496 0.764964i
\(962\) 1.45041 5.15093i 0.0467632 0.166073i
\(963\) −11.2397 12.0005i −0.362195 0.386712i
\(964\) 6.96842 + 9.57453i 0.224438 + 0.308375i
\(965\) −5.71724 + 58.0481i −0.184045 + 1.86864i
\(966\) 89.7300 + 4.24965i 2.88702 + 0.136730i
\(967\) 10.4385 + 15.6223i 0.335678 + 0.502378i 0.960459 0.278422i \(-0.0898115\pi\)
−0.624780 + 0.780801i \(0.714811\pi\)
\(968\) 7.32464 + 3.96519i 0.235423 + 0.127446i
\(969\) −5.66962 + 2.79595i −0.182135 + 0.0898188i
\(970\) 20.7839 53.1672i 0.667330 1.70710i
\(971\) 51.3840 1.68214i 1.64899 0.0539823i 0.806001 0.591914i \(-0.201627\pi\)
0.842989 + 0.537931i \(0.180794\pi\)
\(972\) 36.4776 + 53.7307i 1.17002 + 1.72341i
\(973\) 18.5466 + 8.44643i 0.594578 + 0.270780i
\(974\) 0.807149 0.897176i 0.0258627 0.0287474i
\(975\) −3.48491 26.4705i −0.111607 0.847736i
\(976\) 11.5052 2.07424i 0.368274 0.0663947i
\(977\) −4.83404 0.636414i −0.154655 0.0203607i 0.0528012 0.998605i \(-0.483185\pi\)
−0.207456 + 0.978244i \(0.566518\pi\)
\(978\) 14.4503 + 77.7873i 0.462070 + 2.48736i
\(979\) −14.1183 + 17.2032i −0.451222 + 0.549815i
\(980\) 29.5232 + 50.7219i 0.943083 + 1.62025i
\(981\) 12.0811 + 39.8260i 0.385720 + 1.27155i
\(982\) −10.9943 + 3.18347i −0.350842 + 0.101589i
\(983\) 14.2618 42.0140i 0.454882 1.34004i −0.441700 0.897163i \(-0.645624\pi\)
0.896582 0.442877i \(-0.146042\pi\)
\(984\) 7.40971 + 5.74836i 0.236213 + 0.183251i
\(985\) 18.2929 + 53.8893i 0.582862 + 1.71706i
\(986\) 3.70827 1.34228i 0.118096 0.0427470i
\(987\) 4.23373 0.690626i 0.134761 0.0219829i
\(988\) −0.872276 0.0794228i −0.0277508 0.00252678i
\(989\) 32.8252 + 20.4120i 1.04378 + 0.649064i
\(990\) −76.7166 + 97.3974i −2.43821 + 3.09549i
\(991\) −36.5332 + 9.78903i −1.16051 + 0.310959i −0.787171 0.616734i \(-0.788455\pi\)
−0.373343 + 0.927693i \(0.621789\pi\)
\(992\) 9.87506 + 49.1139i 0.313533 + 1.55937i
\(993\) −39.8177 + 39.8177i −1.26358 + 1.26358i
\(994\) 34.7009 25.8309i 1.10065 0.819305i
\(995\) 0.362861 0.193953i 0.0115035 0.00614873i
\(996\) −104.263 + 4.18294i −3.30370 + 0.132541i
\(997\) 37.3884 6.17284i 1.18410 0.195496i 0.461742 0.887014i \(-0.347224\pi\)
0.722359 + 0.691518i \(0.243058\pi\)
\(998\) 22.0831 + 31.6569i 0.699029 + 1.00208i
\(999\) 25.9444 + 76.4297i 0.820844 + 2.41813i
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 896.2.bt.a.59.64 4032
7.5 odd 6 inner 896.2.bt.a.187.22 yes 4032
128.115 odd 32 inner 896.2.bt.a.115.22 yes 4032
896.243 even 96 inner 896.2.bt.a.243.64 yes 4032
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
896.2.bt.a.59.64 4032 1.1 even 1 trivial
896.2.bt.a.115.22 yes 4032 128.115 odd 32 inner
896.2.bt.a.187.22 yes 4032 7.5 odd 6 inner
896.2.bt.a.243.64 yes 4032 896.243 even 96 inner