Properties

Label 384.2.w.a.323.18
Level $384$
Weight $2$
Character 384.323
Analytic conductor $3.066$
Analytic rank $0$
Dimension $992$
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] = [384,2,Mod(11,384)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(384, base_ring=CyclotomicField(32))
 
chi = DirichletCharacter(H, H._module([16, 21, 16]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("384.11");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 384 = 2^{7} \cdot 3 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 384.w (of order \(32\), 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: \(3.06625543762\)
Analytic rank: \(0\)
Dimension: \(992\)
Relative dimension: \(62\) over \(\Q(\zeta_{32})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{32}]$

Embedding invariants

Embedding label 323.18
Character \(\chi\) \(=\) 384.323
Dual form 384.2.w.a.107.18

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.833368 - 1.14258i) q^{2} +(1.36501 + 1.06618i) q^{3} +(-0.610995 + 1.90439i) q^{4} +(2.81896 + 0.855121i) q^{5} +(0.0806504 - 2.44816i) q^{6} +(0.140767 + 0.707683i) q^{7} +(2.68510 - 0.888941i) q^{8} +(0.726500 + 2.91070i) q^{9} +O(q^{10})\) \(q+(-0.833368 - 1.14258i) q^{2} +(1.36501 + 1.06618i) q^{3} +(-0.610995 + 1.90439i) q^{4} +(2.81896 + 0.855121i) q^{5} +(0.0806504 - 2.44816i) q^{6} +(0.140767 + 0.707683i) q^{7} +(2.68510 - 0.888941i) q^{8} +(0.726500 + 2.91070i) q^{9} +(-1.37218 - 3.93353i) q^{10} +(0.0513415 + 0.521279i) q^{11} +(-2.86444 + 1.94807i) q^{12} +(-3.43070 + 1.04069i) q^{13} +(0.691276 - 0.750598i) q^{14} +(2.93618 + 4.17278i) q^{15} +(-3.25337 - 2.32714i) q^{16} +(-5.36318 - 2.22150i) q^{17} +(2.72028 - 3.25577i) q^{18} +(5.34574 + 2.85736i) q^{19} +(-3.35085 + 4.84591i) q^{20} +(-0.562372 + 1.11608i) q^{21} +(0.552818 - 0.493079i) q^{22} +(0.0781360 + 0.116939i) q^{23} +(4.61297 + 1.64940i) q^{24} +(3.05794 + 2.04325i) q^{25} +(4.04811 + 3.05258i) q^{26} +(-2.11167 + 4.74772i) q^{27} +(-1.43371 - 0.164316i) q^{28} +(0.731056 - 7.42253i) q^{29} +(2.32083 - 6.83230i) q^{30} +(1.32524 + 1.32524i) q^{31} +(0.0523010 + 5.65661i) q^{32} +(-0.485698 + 0.766290i) q^{33} +(1.93125 + 7.97921i) q^{34} +(-0.208339 + 2.11530i) q^{35} +(-5.98699 - 0.394890i) q^{36} +(5.74636 - 3.07149i) q^{37} +(-1.19020 - 8.48919i) q^{38} +(-5.79250 - 2.23720i) q^{39} +(8.32935 - 0.209797i) q^{40} +(-0.746945 - 1.11788i) q^{41} +(1.74387 - 0.287545i) q^{42} +(3.03909 - 3.70314i) q^{43} +(-1.02408 - 0.220725i) q^{44} +(-0.441033 + 8.82640i) q^{45} +(0.0684963 - 0.186730i) q^{46} +(-2.21408 - 0.917100i) q^{47} +(-1.95972 - 6.64526i) q^{48} +(5.98616 - 2.47955i) q^{49} +(-0.213805 - 5.19673i) q^{50} +(-4.95225 - 8.75051i) q^{51} +(0.114263 - 7.16922i) q^{52} +(-0.658358 - 6.68442i) q^{53} +(7.18447 - 1.54384i) q^{54} +(-0.301027 + 1.51337i) q^{55} +(1.00706 + 1.77507i) q^{56} +(4.25051 + 9.59987i) q^{57} +(-9.09011 + 5.35041i) q^{58} +(11.6777 + 3.54240i) q^{59} +(-9.74057 + 3.04208i) q^{60} +(-7.37808 - 8.99021i) q^{61} +(0.409785 - 2.61861i) q^{62} +(-1.95759 + 0.923862i) q^{63} +(6.41957 - 4.77380i) q^{64} -10.5609 q^{65} +(1.28032 - 0.0836509i) q^{66} +(-8.46451 + 6.94664i) q^{67} +(7.50747 - 8.85623i) q^{68} +(-0.0180220 + 0.242930i) q^{69} +(2.59053 - 1.52478i) q^{70} +(-0.480370 - 2.41498i) q^{71} +(4.53817 + 7.16973i) q^{72} +(11.5716 + 2.30174i) q^{73} +(-8.29827 - 4.00601i) q^{74} +(1.99563 + 6.04938i) q^{75} +(-8.70774 + 8.43452i) q^{76} +(-0.361673 + 0.109712i) q^{77} +(2.27109 + 8.48283i) q^{78} +(0.628034 + 1.51621i) q^{79} +(-7.18112 - 9.34214i) q^{80} +(-7.94440 + 4.22925i) q^{81} +(-0.654794 + 1.78506i) q^{82} +(-0.238211 - 0.127326i) q^{83} +(-1.78183 - 1.75289i) q^{84} +(-13.2189 - 10.8485i) q^{85} +(-6.76383 - 0.386335i) q^{86} +(8.91169 - 9.35239i) q^{87} +(0.601243 + 1.35405i) q^{88} +(-10.2974 - 6.88049i) q^{89} +(10.4524 - 6.85172i) q^{90} +(-1.21941 - 2.28135i) q^{91} +(-0.270437 + 0.0773520i) q^{92} +(0.396014 + 3.22191i) q^{93} +(0.797277 + 3.29405i) q^{94} +(12.6260 + 12.6260i) q^{95} +(-5.95960 + 7.77709i) q^{96} +(-12.0988 + 12.0988i) q^{97} +(-7.82176 - 4.77331i) q^{98} +(-1.47999 + 0.528149i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 992 q - 16 q^{3} - 32 q^{4} - 16 q^{6} - 32 q^{7} - 16 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 992 q - 16 q^{3} - 32 q^{4} - 16 q^{6} - 32 q^{7} - 16 q^{9} - 32 q^{10} - 16 q^{12} - 32 q^{13} - 16 q^{15} - 32 q^{16} - 16 q^{18} - 32 q^{19} - 16 q^{21} - 32 q^{22} - 16 q^{24} - 32 q^{25} - 16 q^{27} - 32 q^{28} - 16 q^{30} - 32 q^{31} - 16 q^{33} - 32 q^{34} - 16 q^{36} - 32 q^{37} - 16 q^{39} - 32 q^{40} - 16 q^{42} - 32 q^{43} - 16 q^{45} - 32 q^{46} - 16 q^{48} - 32 q^{49} - 16 q^{51} - 128 q^{52} - 16 q^{54} - 32 q^{55} - 16 q^{57} - 320 q^{58} - 16 q^{60} - 32 q^{61} - 32 q^{63} - 224 q^{64} - 16 q^{66} - 32 q^{67} - 16 q^{69} - 224 q^{70} - 16 q^{72} - 32 q^{73} - 16 q^{75} - 256 q^{76} - 16 q^{78} - 32 q^{79} - 16 q^{81} - 32 q^{82} - 16 q^{84} - 32 q^{85} - 16 q^{87} - 32 q^{88} - 16 q^{90} - 32 q^{91} - 16 q^{93} - 32 q^{94} - 16 q^{96} - 32 q^{97} - 16 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/384\mathbb{Z}\right)^\times\).

\(n\) \(127\) \(133\) \(257\)
\(\chi(n)\) \(-1\) \(e\left(\frac{19}{32}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.833368 1.14258i −0.589280 0.807929i
\(3\) 1.36501 + 1.06618i 0.788088 + 0.615562i
\(4\) −0.610995 + 1.90439i −0.305498 + 0.952193i
\(5\) 2.81896 + 0.855121i 1.26068 + 0.382422i 0.848749 0.528795i \(-0.177356\pi\)
0.411926 + 0.911217i \(0.364856\pi\)
\(6\) 0.0806504 2.44816i 0.0329254 0.999458i
\(7\) 0.140767 + 0.707683i 0.0532049 + 0.267479i 0.998227 0.0595286i \(-0.0189598\pi\)
−0.945022 + 0.327008i \(0.893960\pi\)
\(8\) 2.68510 0.888941i 0.949328 0.314288i
\(9\) 0.726500 + 2.91070i 0.242167 + 0.970235i
\(10\) −1.37218 3.93353i −0.433922 1.24389i
\(11\) 0.0513415 + 0.521279i 0.0154800 + 0.157171i 0.999817 0.0191254i \(-0.00608816\pi\)
−0.984337 + 0.176297i \(0.943588\pi\)
\(12\) −2.86444 + 1.94807i −0.826893 + 0.562359i
\(13\) −3.43070 + 1.04069i −0.951504 + 0.288636i −0.727620 0.685980i \(-0.759374\pi\)
−0.223884 + 0.974616i \(0.571874\pi\)
\(14\) 0.691276 0.750598i 0.184751 0.200606i
\(15\) 2.93618 + 4.17278i 0.758120 + 1.07741i
\(16\) −3.25337 2.32714i −0.813342 0.581785i
\(17\) −5.36318 2.22150i −1.30076 0.538793i −0.378586 0.925566i \(-0.623590\pi\)
−0.922175 + 0.386773i \(0.873590\pi\)
\(18\) 2.72028 3.25577i 0.641176 0.767393i
\(19\) 5.34574 + 2.85736i 1.22640 + 0.655523i 0.952001 0.306094i \(-0.0990221\pi\)
0.274396 + 0.961617i \(0.411522\pi\)
\(20\) −3.35085 + 4.84591i −0.749273 + 1.08358i
\(21\) −0.562372 + 1.11608i −0.122720 + 0.243548i
\(22\) 0.552818 0.493079i 0.117861 0.105125i
\(23\) 0.0781360 + 0.116939i 0.0162925 + 0.0243834i 0.839526 0.543319i \(-0.182833\pi\)
−0.823234 + 0.567702i \(0.807833\pi\)
\(24\) 4.61297 + 1.64940i 0.941618 + 0.336683i
\(25\) 3.05794 + 2.04325i 0.611588 + 0.408650i
\(26\) 4.04811 + 3.05258i 0.793899 + 0.598660i
\(27\) −2.11167 + 4.74772i −0.406391 + 0.913699i
\(28\) −1.43371 0.164316i −0.270945 0.0310529i
\(29\) 0.731056 7.42253i 0.135754 1.37833i −0.650068 0.759876i \(-0.725259\pi\)
0.785821 0.618454i \(-0.212241\pi\)
\(30\) 2.32083 6.83230i 0.423723 1.24740i
\(31\) 1.32524 + 1.32524i 0.238020 + 0.238020i 0.816030 0.578010i \(-0.196170\pi\)
−0.578010 + 0.816030i \(0.696170\pi\)
\(32\) 0.0523010 + 5.65661i 0.00924560 + 0.999957i
\(33\) −0.485698 + 0.766290i −0.0845491 + 0.133394i
\(34\) 1.93125 + 7.97921i 0.331207 + 1.36842i
\(35\) −0.208339 + 2.11530i −0.0352157 + 0.357551i
\(36\) −5.98699 0.394890i −0.997832 0.0658151i
\(37\) 5.74636 3.07149i 0.944695 0.504950i 0.0742633 0.997239i \(-0.476339\pi\)
0.870432 + 0.492288i \(0.163839\pi\)
\(38\) −1.19020 8.48919i −0.193076 1.37713i
\(39\) −5.79250 2.23720i −0.927542 0.358239i
\(40\) 8.32935 0.209797i 1.31699 0.0331719i
\(41\) −0.746945 1.11788i −0.116653 0.174584i 0.768548 0.639792i \(-0.220980\pi\)
−0.885201 + 0.465208i \(0.845980\pi\)
\(42\) 1.74387 0.287545i 0.269086 0.0443692i
\(43\) 3.03909 3.70314i 0.463457 0.564724i −0.487866 0.872918i \(-0.662225\pi\)
0.951323 + 0.308194i \(0.0997247\pi\)
\(44\) −1.02408 0.220725i −0.154387 0.0332755i
\(45\) −0.441033 + 8.82640i −0.0657454 + 1.31576i
\(46\) 0.0684963 0.186730i 0.0100992 0.0275318i
\(47\) −2.21408 0.917100i −0.322956 0.133773i 0.215315 0.976545i \(-0.430922\pi\)
−0.538271 + 0.842772i \(0.680922\pi\)
\(48\) −1.95972 6.64526i −0.282861 0.959161i
\(49\) 5.98616 2.47955i 0.855165 0.354221i
\(50\) −0.213805 5.19673i −0.0302366 0.734928i
\(51\) −4.95225 8.75051i −0.693454 1.22532i
\(52\) 0.114263 7.16922i 0.0158455 0.994193i
\(53\) −0.658358 6.68442i −0.0904324 0.918176i −0.928183 0.372123i \(-0.878630\pi\)
0.837751 0.546053i \(-0.183870\pi\)
\(54\) 7.18447 1.54384i 0.977682 0.210090i
\(55\) −0.301027 + 1.51337i −0.0405905 + 0.204062i
\(56\) 1.00706 + 1.77507i 0.134574 + 0.237203i
\(57\) 4.25051 + 9.59987i 0.562994 + 1.27153i
\(58\) −9.09011 + 5.35041i −1.19359 + 0.702543i
\(59\) 11.6777 + 3.54240i 1.52031 + 0.461181i 0.936488 0.350699i \(-0.114056\pi\)
0.583823 + 0.811881i \(0.301556\pi\)
\(60\) −9.74057 + 3.04208i −1.25750 + 0.392731i
\(61\) −7.37808 8.99021i −0.944666 1.15108i −0.988375 0.152034i \(-0.951418\pi\)
0.0437095 0.999044i \(-0.486082\pi\)
\(62\) 0.409785 2.61861i 0.0520427 0.332564i
\(63\) −1.95759 + 0.923862i −0.246633 + 0.116396i
\(64\) 6.41957 4.77380i 0.802446 0.596725i
\(65\) −10.5609 −1.30992
\(66\) 1.28032 0.0836509i 0.157596 0.0102967i
\(67\) −8.46451 + 6.94664i −1.03410 + 0.848668i −0.988641 0.150298i \(-0.951977\pi\)
−0.0454637 + 0.998966i \(0.514477\pi\)
\(68\) 7.50747 8.85623i 0.910414 1.07398i
\(69\) −0.0180220 + 0.242930i −0.00216959 + 0.0292453i
\(70\) 2.59053 1.52478i 0.309628 0.182246i
\(71\) −0.480370 2.41498i −0.0570094 0.286606i 0.941755 0.336299i \(-0.109175\pi\)
−0.998764 + 0.0496939i \(0.984175\pi\)
\(72\) 4.53817 + 7.16973i 0.534829 + 0.844961i
\(73\) 11.5716 + 2.30174i 1.35436 + 0.269398i 0.818303 0.574787i \(-0.194915\pi\)
0.536052 + 0.844185i \(0.319915\pi\)
\(74\) −8.29827 4.00601i −0.964654 0.465689i
\(75\) 1.99563 + 6.04938i 0.230436 + 0.698522i
\(76\) −8.70774 + 8.43452i −0.998846 + 0.967506i
\(77\) −0.361673 + 0.109712i −0.0412164 + 0.0125029i
\(78\) 2.27109 + 8.48283i 0.257150 + 0.960491i
\(79\) 0.628034 + 1.51621i 0.0706594 + 0.170587i 0.955264 0.295756i \(-0.0955714\pi\)
−0.884604 + 0.466342i \(0.845571\pi\)
\(80\) −7.18112 9.34214i −0.802874 1.04448i
\(81\) −7.94440 + 4.22925i −0.882711 + 0.469917i
\(82\) −0.654794 + 1.78506i −0.0723099 + 0.197126i
\(83\) −0.238211 0.127326i −0.0261471 0.0139759i 0.458271 0.888812i \(-0.348469\pi\)
−0.484418 + 0.874836i \(0.660969\pi\)
\(84\) −1.78183 1.75289i −0.194414 0.191256i
\(85\) −13.2189 10.8485i −1.43379 1.17668i
\(86\) −6.76383 0.386335i −0.729363 0.0416595i
\(87\) 8.91169 9.35239i 0.955434 1.00268i
\(88\) 0.601243 + 1.35405i 0.0640927 + 0.144342i
\(89\) −10.2974 6.88049i −1.09152 0.729331i −0.126622 0.991951i \(-0.540413\pi\)
−0.964899 + 0.262620i \(0.915413\pi\)
\(90\) 10.4524 6.85172i 1.10178 0.722235i
\(91\) −1.21941 2.28135i −0.127829 0.239150i
\(92\) −0.270437 + 0.0773520i −0.0281950 + 0.00806450i
\(93\) 0.396014 + 3.22191i 0.0410647 + 0.334097i
\(94\) 0.797277 + 3.29405i 0.0822328 + 0.339755i
\(95\) 12.6260 + 12.6260i 1.29540 + 1.29540i
\(96\) −5.95960 + 7.77709i −0.608249 + 0.793746i
\(97\) −12.0988 + 12.0988i −1.22844 + 1.22844i −0.263893 + 0.964552i \(0.585006\pi\)
−0.964552 + 0.263893i \(0.914994\pi\)
\(98\) −7.82176 4.77331i −0.790117 0.482177i
\(99\) −1.47999 + 0.528149i −0.148744 + 0.0530809i
\(100\) −5.75952 + 4.57508i −0.575952 + 0.457508i
\(101\) −7.09943 + 3.79473i −0.706420 + 0.377589i −0.785149 0.619307i \(-0.787414\pi\)
0.0787293 + 0.996896i \(0.474914\pi\)
\(102\) −5.87113 + 12.9508i −0.581329 + 1.28232i
\(103\) 2.64048 3.95175i 0.260174 0.389378i −0.678268 0.734815i \(-0.737269\pi\)
0.938442 + 0.345437i \(0.112269\pi\)
\(104\) −8.28666 + 5.84405i −0.812574 + 0.573056i
\(105\) −2.53968 + 2.66528i −0.247848 + 0.260104i
\(106\) −7.08886 + 6.32281i −0.688531 + 0.614126i
\(107\) −9.02720 + 10.9997i −0.872692 + 1.06338i 0.124770 + 0.992186i \(0.460181\pi\)
−0.997463 + 0.0711928i \(0.977319\pi\)
\(108\) −7.75127 6.92227i −0.745866 0.666096i
\(109\) 2.77153 5.18517i 0.265465 0.496649i −0.713506 0.700649i \(-0.752894\pi\)
0.978971 + 0.203999i \(0.0653940\pi\)
\(110\) 1.98001 0.917242i 0.188787 0.0874556i
\(111\) 11.1186 + 1.93406i 1.05533 + 0.183573i
\(112\) 1.18891 2.62994i 0.112342 0.248506i
\(113\) −8.90796 + 3.68980i −0.837990 + 0.347107i −0.760061 0.649852i \(-0.774831\pi\)
−0.0779293 + 0.996959i \(0.524831\pi\)
\(114\) 7.42641 12.8568i 0.695547 1.20415i
\(115\) 0.120265 + 0.396461i 0.0112148 + 0.0369702i
\(116\) 13.6887 + 5.92735i 1.27096 + 0.550340i
\(117\) −5.52154 9.22968i −0.510467 0.853284i
\(118\) −5.68436 16.2949i −0.523288 1.50007i
\(119\) 0.817160 4.10814i 0.0749089 0.376593i
\(120\) 11.5933 + 8.59425i 1.05832 + 0.784544i
\(121\) 10.5195 2.09247i 0.956322 0.190224i
\(122\) −4.12342 + 15.9222i −0.373317 + 1.44153i
\(123\) 0.172282 2.32230i 0.0155342 0.209395i
\(124\) −3.33348 + 1.71405i −0.299355 + 0.153926i
\(125\) −2.47101 3.01094i −0.221014 0.269307i
\(126\) 2.68698 + 1.46679i 0.239375 + 0.130672i
\(127\) 17.9051i 1.58882i −0.607384 0.794409i \(-0.707781\pi\)
0.607384 0.794409i \(-0.292219\pi\)
\(128\) −10.8043 3.35656i −0.954977 0.296681i
\(129\) 8.09662 1.81459i 0.712868 0.159766i
\(130\) 8.80112 + 12.0667i 0.771909 + 1.05832i
\(131\) 0.711423 0.583850i 0.0621574 0.0510112i −0.602802 0.797891i \(-0.705949\pi\)
0.664959 + 0.746880i \(0.268449\pi\)
\(132\) −1.16255 1.39316i −0.101187 0.121259i
\(133\) −1.26960 + 4.18531i −0.110088 + 0.362912i
\(134\) 14.9912 + 3.88230i 1.29504 + 0.335380i
\(135\) −10.0126 + 11.5779i −0.861746 + 0.996466i
\(136\) −16.3755 1.19741i −1.40418 0.102677i
\(137\) 21.3920 + 4.25513i 1.82764 + 0.363540i 0.984671 0.174422i \(-0.0558056\pi\)
0.842969 + 0.537962i \(0.180806\pi\)
\(138\) 0.292587 0.181858i 0.0249066 0.0154808i
\(139\) −10.0764 + 0.992435i −0.854666 + 0.0841773i −0.515854 0.856677i \(-0.672525\pi\)
−0.338812 + 0.940854i \(0.610025\pi\)
\(140\) −3.90105 1.68920i −0.329699 0.142763i
\(141\) −2.04444 3.61247i −0.172173 0.304224i
\(142\) −2.35899 + 2.56143i −0.197962 + 0.214951i
\(143\) −0.718626 1.73492i −0.0600946 0.145081i
\(144\) 4.41005 11.1603i 0.367504 0.930022i
\(145\) 8.40798 20.2987i 0.698245 1.68571i
\(146\) −7.01349 15.1397i −0.580441 1.25297i
\(147\) 10.8148 + 2.99775i 0.891991 + 0.247250i
\(148\) 2.33831 + 12.8199i 0.192208 + 1.05379i
\(149\) −13.1621 10.8018i −1.07828 0.884921i −0.0845148 0.996422i \(-0.526934\pi\)
−0.993764 + 0.111501i \(0.964434\pi\)
\(150\) 5.24883 7.32154i 0.428565 0.597801i
\(151\) 16.7116 11.1663i 1.35997 0.908702i 0.360260 0.932852i \(-0.382688\pi\)
0.999708 + 0.0241497i \(0.00768785\pi\)
\(152\) 16.8939 + 2.92026i 1.37028 + 0.236864i
\(153\) 2.56978 17.2245i 0.207755 1.39252i
\(154\) 0.426762 + 0.321811i 0.0343894 + 0.0259322i
\(155\) 2.60255 + 4.86903i 0.209042 + 0.391090i
\(156\) 7.79969 9.66423i 0.624475 0.773758i
\(157\) −11.6799 1.15037i −0.932157 0.0918094i −0.379475 0.925202i \(-0.623895\pi\)
−0.552681 + 0.833393i \(0.686395\pi\)
\(158\) 1.20901 1.98114i 0.0961838 0.157611i
\(159\) 6.22816 9.82623i 0.493925 0.779270i
\(160\) −4.68966 + 15.9905i −0.370750 + 1.26416i
\(161\) −0.0717566 + 0.0717566i −0.00565521 + 0.00565521i
\(162\) 11.4529 + 5.55261i 0.899823 + 0.436255i
\(163\) −14.3876 1.41705i −1.12692 0.110992i −0.482667 0.875804i \(-0.660332\pi\)
−0.644254 + 0.764812i \(0.722832\pi\)
\(164\) 2.58526 0.739451i 0.201875 0.0577414i
\(165\) −2.02443 + 1.74481i −0.157602 + 0.135833i
\(166\) 0.0530364 + 0.378286i 0.00411642 + 0.0293607i
\(167\) 8.63319 12.9205i 0.668056 0.999816i −0.330377 0.943849i \(-0.607176\pi\)
0.998433 0.0559673i \(-0.0178242\pi\)
\(168\) −0.517902 + 3.49670i −0.0399570 + 0.269776i
\(169\) −0.122469 + 0.0818309i −0.00942066 + 0.00629468i
\(170\) −1.37908 + 24.1445i −0.105770 + 1.85180i
\(171\) −4.43325 + 17.6357i −0.339019 + 1.34864i
\(172\) 5.19534 + 8.05020i 0.396141 + 0.613822i
\(173\) −1.33268 + 2.49327i −0.101322 + 0.189560i −0.927474 0.373887i \(-0.878025\pi\)
0.826153 + 0.563446i \(0.190525\pi\)
\(174\) −18.1126 2.38837i −1.37311 0.181062i
\(175\) −1.01552 + 2.45167i −0.0767658 + 0.185329i
\(176\) 1.04606 1.81539i 0.0788494 0.136840i
\(177\) 12.1634 + 17.2860i 0.914254 + 1.29930i
\(178\) 0.719973 + 17.4996i 0.0539643 + 1.31165i
\(179\) 2.34359 + 7.72580i 0.175169 + 0.577453i 0.999928 + 0.0119700i \(0.00381027\pi\)
−0.824760 + 0.565483i \(0.808690\pi\)
\(180\) −16.5394 6.23278i −1.23277 0.464564i
\(181\) −6.33147 + 0.623596i −0.470615 + 0.0463515i −0.330545 0.943790i \(-0.607233\pi\)
−0.140070 + 0.990142i \(0.544733\pi\)
\(182\) −1.59042 + 3.29448i −0.117890 + 0.244203i
\(183\) −0.485914 20.1381i −0.0359198 1.48865i
\(184\) 0.313755 + 0.244534i 0.0231303 + 0.0180273i
\(185\) 18.8252 3.74457i 1.38406 0.275306i
\(186\) 3.35128 3.13752i 0.245728 0.230054i
\(187\) 0.882667 2.90976i 0.0645470 0.212783i
\(188\) 3.09930 3.65611i 0.226040 0.266649i
\(189\) −3.65713 0.826070i −0.266017 0.0600878i
\(190\) 3.90417 24.9484i 0.283238 1.80995i
\(191\) 21.3495i 1.54480i 0.635138 + 0.772399i \(0.280943\pi\)
−0.635138 + 0.772399i \(0.719057\pi\)
\(192\) 13.8525 + 0.328167i 0.999720 + 0.0236834i
\(193\) 2.73664i 0.196988i 0.995138 + 0.0984940i \(0.0314025\pi\)
−0.995138 + 0.0984940i \(0.968597\pi\)
\(194\) 23.9066 + 3.74113i 1.71639 + 0.268598i
\(195\) −14.4157 11.2599i −1.03233 0.806336i
\(196\) 1.06450 + 12.9149i 0.0760358 + 0.922496i
\(197\) 1.38218 4.55643i 0.0984762 0.324632i −0.893836 0.448395i \(-0.851996\pi\)
0.992312 + 0.123762i \(0.0394960\pi\)
\(198\) 1.83683 + 1.25087i 0.130538 + 0.0888953i
\(199\) 13.5554 2.69633i 0.960916 0.191138i 0.310379 0.950613i \(-0.399544\pi\)
0.650537 + 0.759475i \(0.274544\pi\)
\(200\) 10.0272 + 2.76801i 0.709031 + 0.195728i
\(201\) −18.9605 + 0.457500i −1.33737 + 0.0322696i
\(202\) 10.2522 + 4.94929i 0.721344 + 0.348231i
\(203\) 5.35571 0.527491i 0.375897 0.0370226i
\(204\) 19.6901 4.08449i 1.37859 0.285971i
\(205\) −1.14968 3.78999i −0.0802972 0.264705i
\(206\) −6.71570 + 0.276299i −0.467905 + 0.0192507i
\(207\) −0.283608 + 0.312387i −0.0197121 + 0.0217124i
\(208\) 13.5832 + 4.59796i 0.941822 + 0.318811i
\(209\) −1.21502 + 2.93332i −0.0840448 + 0.202902i
\(210\) 5.16179 + 0.680647i 0.356198 + 0.0469691i
\(211\) 10.7779 20.1641i 0.741984 1.38816i −0.173105 0.984903i \(-0.555380\pi\)
0.915089 0.403252i \(-0.132120\pi\)
\(212\) 13.1320 + 2.83038i 0.901907 + 0.194391i
\(213\) 1.91911 3.80864i 0.131495 0.260963i
\(214\) 20.0910 + 1.14755i 1.37339 + 0.0784451i
\(215\) 11.7337 7.84021i 0.800232 0.534698i
\(216\) −1.44961 + 14.6253i −0.0986334 + 0.995124i
\(217\) −0.751299 + 1.12440i −0.0510015 + 0.0763291i
\(218\) −8.23420 + 1.15445i −0.557690 + 0.0781892i
\(219\) 13.3413 + 15.4794i 0.901521 + 1.04600i
\(220\) −2.69810 1.49793i −0.181906 0.100990i
\(221\) 20.7113 + 2.03989i 1.39319 + 0.137218i
\(222\) −7.05606 14.3157i −0.473572 0.960809i
\(223\) −6.52320 + 6.52320i −0.436826 + 0.436826i −0.890942 0.454116i \(-0.849955\pi\)
0.454116 + 0.890942i \(0.349955\pi\)
\(224\) −3.99572 + 0.833276i −0.266976 + 0.0556756i
\(225\) −3.72570 + 10.3852i −0.248380 + 0.692345i
\(226\) 11.6395 + 7.10313i 0.774249 + 0.472493i
\(227\) −7.78629 0.766883i −0.516794 0.0508998i −0.163742 0.986503i \(-0.552356\pi\)
−0.353053 + 0.935603i \(0.614856\pi\)
\(228\) −20.8789 + 2.22914i −1.38274 + 0.147629i
\(229\) 11.8836 + 22.2326i 0.785289 + 1.46917i 0.880669 + 0.473732i \(0.157093\pi\)
−0.0953803 + 0.995441i \(0.530407\pi\)
\(230\) 0.352765 0.467811i 0.0232606 0.0308465i
\(231\) −0.610660 0.235852i −0.0401785 0.0155179i
\(232\) −4.63523 20.5801i −0.304318 1.35115i
\(233\) 5.33556 3.56511i 0.349544 0.233558i −0.368386 0.929673i \(-0.620090\pi\)
0.717930 + 0.696115i \(0.245090\pi\)
\(234\) −5.94420 + 14.0005i −0.388585 + 0.915244i
\(235\) −5.45715 4.47857i −0.355985 0.292150i
\(236\) −13.8811 + 20.0745i −0.903585 + 1.30674i
\(237\) −0.759286 + 2.73924i −0.0493209 + 0.177933i
\(238\) −5.37489 + 2.48992i −0.348402 + 0.161397i
\(239\) −7.63298 + 18.4276i −0.493736 + 1.19198i 0.459069 + 0.888401i \(0.348183\pi\)
−0.952805 + 0.303584i \(0.901817\pi\)
\(240\) 0.158148 20.4085i 0.0102084 1.31736i
\(241\) 2.11078 + 5.09587i 0.135967 + 0.328254i 0.977168 0.212469i \(-0.0681506\pi\)
−0.841201 + 0.540723i \(0.818151\pi\)
\(242\) −11.1575 10.2757i −0.717229 0.660545i
\(243\) −15.3533 2.69723i −0.984917 0.173027i
\(244\) 21.6288 8.55773i 1.38464 0.547852i
\(245\) 18.9950 1.87085i 1.21355 0.119524i
\(246\) −2.79700 + 1.73849i −0.178330 + 0.110842i
\(247\) −21.3132 4.23947i −1.35613 0.269751i
\(248\) 4.73646 + 2.38035i 0.300766 + 0.151152i
\(249\) −0.189407 0.427779i −0.0120032 0.0271094i
\(250\) −1.38099 + 5.33256i −0.0873413 + 0.337261i
\(251\) 4.12980 13.6141i 0.260670 0.859315i −0.724726 0.689037i \(-0.758034\pi\)
0.985396 0.170278i \(-0.0544665\pi\)
\(252\) −0.563313 4.29248i −0.0354854 0.270401i
\(253\) −0.0569460 + 0.0467344i −0.00358017 + 0.00293817i
\(254\) −20.4580 + 14.9215i −1.28365 + 0.936259i
\(255\) −6.47745 28.9021i −0.405634 1.80992i
\(256\) 5.16883 + 15.1421i 0.323052 + 0.946381i
\(257\) 4.42648i 0.276116i −0.990424 0.138058i \(-0.955914\pi\)
0.990424 0.138058i \(-0.0440861\pi\)
\(258\) −8.82079 7.73884i −0.549158 0.481799i
\(259\) 2.98254 + 3.63423i 0.185326 + 0.225820i
\(260\) 6.45266 20.1120i 0.400177 1.24729i
\(261\) 22.1359 3.26458i 1.37018 0.202073i
\(262\) −1.25998 0.326299i −0.0778415 0.0201588i
\(263\) −11.9965 + 2.38625i −0.739735 + 0.147142i −0.550554 0.834800i \(-0.685583\pi\)
−0.189181 + 0.981942i \(0.560583\pi\)
\(264\) −0.622963 + 2.48932i −0.0383407 + 0.153207i
\(265\) 3.86011 19.4061i 0.237125 1.19211i
\(266\) 5.84011 2.03728i 0.358080 0.124914i
\(267\) −6.72015 20.3709i −0.411266 1.24668i
\(268\) −8.05731 20.3641i −0.492179 1.24393i
\(269\) 7.13334 + 23.5155i 0.434927 + 1.43376i 0.851353 + 0.524593i \(0.175783\pi\)
−0.416426 + 0.909170i \(0.636717\pi\)
\(270\) 21.5729 + 1.79157i 1.31288 + 0.109032i
\(271\) −19.2405 + 7.96967i −1.16878 + 0.484123i −0.880788 0.473511i \(-0.842986\pi\)
−0.287988 + 0.957634i \(0.592986\pi\)
\(272\) 12.2787 + 19.7082i 0.744503 + 1.19499i
\(273\) 0.767839 4.41417i 0.0464717 0.267158i
\(274\) −12.9656 27.9882i −0.783278 1.69083i
\(275\) −0.908103 + 1.69894i −0.0547607 + 0.102450i
\(276\) −0.451621 0.182750i −0.0271844 0.0110002i
\(277\) −8.97244 + 10.9329i −0.539101 + 0.656897i −0.969313 0.245831i \(-0.920939\pi\)
0.430211 + 0.902728i \(0.358439\pi\)
\(278\) 9.53126 + 10.6860i 0.571647 + 0.640905i
\(279\) −2.89459 + 4.82017i −0.173295 + 0.288576i
\(280\) 1.32097 + 5.86500i 0.0789428 + 0.350501i
\(281\) −3.67860 + 5.50542i −0.219447 + 0.328426i −0.924816 0.380415i \(-0.875781\pi\)
0.705369 + 0.708840i \(0.250781\pi\)
\(282\) −2.42378 + 5.34645i −0.144334 + 0.318377i
\(283\) −22.7986 + 12.1861i −1.35524 + 0.724389i −0.979330 0.202268i \(-0.935169\pi\)
−0.375907 + 0.926657i \(0.622669\pi\)
\(284\) 4.89256 + 0.560733i 0.290320 + 0.0332734i
\(285\) 3.77296 + 30.6963i 0.223491 + 1.81829i
\(286\) −1.38341 + 2.26692i −0.0818027 + 0.134046i
\(287\) 0.685961 0.685961i 0.0404910 0.0404910i
\(288\) −16.4267 + 4.26176i −0.967954 + 0.251127i
\(289\) 11.8078 + 11.8078i 0.694575 + 0.694575i
\(290\) −30.1999 + 7.30944i −1.77340 + 0.429225i
\(291\) −29.4145 + 3.61541i −1.72431 + 0.211939i
\(292\) −11.4536 + 20.6305i −0.670271 + 1.20731i
\(293\) −14.5536 27.2278i −0.850229 1.59067i −0.806205 0.591637i \(-0.798482\pi\)
−0.0440245 0.999030i \(-0.514018\pi\)
\(294\) −5.58755 14.8551i −0.325872 0.866365i
\(295\) 29.8898 + 19.9718i 1.74025 + 1.16280i
\(296\) 12.6992 13.3555i 0.738126 0.776270i
\(297\) −2.58330 0.857013i −0.149898 0.0497290i
\(298\) −1.37315 + 24.0407i −0.0795443 + 1.39264i
\(299\) −0.389758 0.319866i −0.0225403 0.0184983i
\(300\) −12.7397 + 0.104311i −0.735526 + 0.00602241i
\(301\) 3.04845 + 1.62943i 0.175710 + 0.0939189i
\(302\) −26.6853 9.78872i −1.53557 0.563278i
\(303\) −13.7367 2.38947i −0.789151 0.137272i
\(304\) −10.7422 21.7363i −0.616107 1.24666i
\(305\) −13.1108 31.6522i −0.750720 1.81240i
\(306\) −21.8221 + 11.4182i −1.24748 + 0.652734i
\(307\) 4.90418 1.48767i 0.279896 0.0849056i −0.147216 0.989104i \(-0.547031\pi\)
0.427112 + 0.904199i \(0.359531\pi\)
\(308\) 0.0120459 0.755798i 0.000686380 0.0430656i
\(309\) 7.81757 2.57894i 0.444726 0.146711i
\(310\) 3.39439 7.03133i 0.192789 0.399353i
\(311\) −9.59006 1.90758i −0.543803 0.108169i −0.0844578 0.996427i \(-0.526916\pi\)
−0.459345 + 0.888258i \(0.651916\pi\)
\(312\) −17.5422 0.857936i −0.993132 0.0485710i
\(313\) 1.24937 + 6.28103i 0.0706188 + 0.355025i 0.999897 0.0143560i \(-0.00456983\pi\)
−0.929278 + 0.369381i \(0.879570\pi\)
\(314\) 8.41925 + 14.3039i 0.475126 + 0.807217i
\(315\) −6.30837 + 0.930352i −0.355436 + 0.0524194i
\(316\) −3.27117 + 0.269623i −0.184018 + 0.0151675i
\(317\) 0.773290 0.634622i 0.0434323 0.0356439i −0.612427 0.790527i \(-0.709807\pi\)
0.655859 + 0.754883i \(0.272307\pi\)
\(318\) −16.4176 + 1.07267i −0.920656 + 0.0601521i
\(319\) 3.90674 0.218736
\(320\) 22.1787 7.96762i 1.23982 0.445404i
\(321\) −24.0499 + 5.38999i −1.34233 + 0.300840i
\(322\) 0.141787 + 0.0221882i 0.00790151 + 0.00123650i
\(323\) −22.3225 27.2001i −1.24206 1.51345i
\(324\) −3.20014 17.7132i −0.177785 0.984069i
\(325\) −12.6172 3.82740i −0.699879 0.212306i
\(326\) 10.3710 + 17.6199i 0.574398 + 0.975877i
\(327\) 9.31152 4.12284i 0.514928 0.227994i
\(328\) −2.99936 2.33764i −0.165612 0.129075i
\(329\) 0.337348 1.69596i 0.0185986 0.0935013i
\(330\) 3.68068 + 0.859016i 0.202615 + 0.0472873i
\(331\) −2.04107 20.7234i −0.112187 1.13906i −0.872200 0.489150i \(-0.837307\pi\)
0.760012 0.649909i \(-0.225193\pi\)
\(332\) 0.388025 0.375850i 0.0212956 0.0206274i
\(333\) 13.1149 + 14.4945i 0.718694 + 0.794294i
\(334\) −21.9573 + 0.903375i −1.20145 + 0.0494305i
\(335\) −29.8013 + 12.3441i −1.62822 + 0.674431i
\(336\) 4.42687 2.32229i 0.241506 0.126691i
\(337\) 12.2094 + 5.05731i 0.665089 + 0.275489i 0.689578 0.724211i \(-0.257796\pi\)
−0.0244890 + 0.999700i \(0.507796\pi\)
\(338\) 0.195560 + 0.0717353i 0.0106371 + 0.00390189i
\(339\) −16.0934 4.46092i −0.874076 0.242284i
\(340\) 28.7364 18.5455i 1.55845 1.00577i
\(341\) −0.622779 + 0.758859i −0.0337254 + 0.0410945i
\(342\) 23.8448 9.63171i 1.28938 0.520823i
\(343\) 5.40347 + 8.08687i 0.291760 + 0.436650i
\(344\) 4.86840 12.6449i 0.262486 0.681767i
\(345\) −0.258538 + 0.669398i −0.0139192 + 0.0360392i
\(346\) 3.95938 0.555112i 0.212858 0.0298430i
\(347\) −10.6376 + 5.68590i −0.571055 + 0.305235i −0.731535 0.681804i \(-0.761196\pi\)
0.160480 + 0.987039i \(0.448696\pi\)
\(348\) 12.3656 + 22.6856i 0.662863 + 1.21607i
\(349\) −1.52696 + 15.5035i −0.0817365 + 0.829885i 0.863684 + 0.504033i \(0.168151\pi\)
−0.945421 + 0.325852i \(0.894349\pi\)
\(350\) 3.64754 0.882833i 0.194969 0.0471894i
\(351\) 2.30359 18.4856i 0.122957 0.986687i
\(352\) −2.94599 + 0.317682i −0.157022 + 0.0169325i
\(353\) 12.7698 + 12.7698i 0.679667 + 0.679667i 0.959925 0.280258i \(-0.0904200\pi\)
−0.280258 + 0.959925i \(0.590420\pi\)
\(354\) 9.61419 28.3033i 0.510988 1.50430i
\(355\) 0.710961 7.21850i 0.0377339 0.383118i
\(356\) 19.3948 15.4062i 1.02792 0.816529i
\(357\) 5.49547 4.73641i 0.290851 0.250677i
\(358\) 6.87429 9.11619i 0.363318 0.481805i
\(359\) 23.2182 + 15.5139i 1.22541 + 0.818792i 0.988275 0.152685i \(-0.0487919\pi\)
0.237134 + 0.971477i \(0.423792\pi\)
\(360\) 6.66193 + 24.0918i 0.351114 + 1.26975i
\(361\) 9.85663 + 14.7515i 0.518770 + 0.776394i
\(362\) 5.98896 + 6.71456i 0.314773 + 0.352909i
\(363\) 16.5902 + 8.35954i 0.870761 + 0.438762i
\(364\) 5.08962 0.928327i 0.266769 0.0486575i
\(365\) 30.6516 + 16.3836i 1.60438 + 0.857559i
\(366\) −22.6045 + 17.3377i −1.18156 + 0.906254i
\(367\) 8.29858 + 3.43738i 0.433182 + 0.179430i 0.588610 0.808417i \(-0.299675\pi\)
−0.155427 + 0.987847i \(0.549675\pi\)
\(368\) 0.0179277 0.562278i 0.000934549 0.0293108i
\(369\) 2.71117 2.98628i 0.141138 0.155459i
\(370\) −19.9668 18.3888i −1.03803 0.955988i
\(371\) 4.63777 1.40685i 0.240781 0.0730402i
\(372\) −6.37773 1.21441i −0.330670 0.0629643i
\(373\) 0.226683 + 2.30155i 0.0117372 + 0.119170i 0.999268 0.0382564i \(-0.0121804\pi\)
−0.987531 + 0.157426i \(0.949680\pi\)
\(374\) −4.06024 + 1.41638i −0.209950 + 0.0732394i
\(375\) −0.162739 6.74452i −0.00840380 0.348285i
\(376\) −6.76027 0.494327i −0.348634 0.0254930i
\(377\) 5.21653 + 26.2253i 0.268665 + 1.35067i
\(378\) 2.10388 + 4.86700i 0.108212 + 0.250331i
\(379\) 36.2657 + 11.0011i 1.86285 + 0.565088i 0.998012 + 0.0630313i \(0.0200768\pi\)
0.864835 + 0.502057i \(0.167423\pi\)
\(380\) −31.7593 + 16.3304i −1.62922 + 0.837731i
\(381\) 19.0901 24.4406i 0.978016 1.25213i
\(382\) 24.3936 17.7920i 1.24809 0.910319i
\(383\) −34.7953 −1.77796 −0.888979 0.457948i \(-0.848585\pi\)
−0.888979 + 0.457948i \(0.848585\pi\)
\(384\) −11.1693 16.1011i −0.569980 0.821658i
\(385\) −1.11336 −0.0567419
\(386\) 3.12684 2.28063i 0.159152 0.116081i
\(387\) 12.9867 + 6.15556i 0.660149 + 0.312905i
\(388\) −15.6484 30.4330i −0.794429 1.54500i
\(389\) −11.6144 3.52317i −0.588871 0.178632i −0.0182329 0.999834i \(-0.505804\pi\)
−0.570638 + 0.821202i \(0.693304\pi\)
\(390\) −0.851741 + 25.8548i −0.0431296 + 1.30921i
\(391\) −0.159278 0.800742i −0.00805501 0.0404953i
\(392\) 13.8693 11.9792i 0.700505 0.605040i
\(393\) 1.59359 0.0384519i 0.0803861 0.00193964i
\(394\) −6.35797 + 2.21793i −0.320310 + 0.111738i
\(395\) 0.473859 + 4.81117i 0.0238424 + 0.242076i
\(396\) −0.101533 3.14116i −0.00510222 0.157849i
\(397\) −0.344167 + 0.104402i −0.0172732 + 0.00523978i −0.298909 0.954281i \(-0.596623\pi\)
0.281636 + 0.959521i \(0.409123\pi\)
\(398\) −14.3774 13.2411i −0.720675 0.663718i
\(399\) −6.19533 + 4.35936i −0.310154 + 0.218241i
\(400\) −5.19368 13.7637i −0.259684 0.688185i
\(401\) 24.1492 + 10.0029i 1.20595 + 0.499522i 0.892918 0.450219i \(-0.148654\pi\)
0.313035 + 0.949741i \(0.398654\pi\)
\(402\) 16.3238 + 21.2827i 0.814159 + 1.06149i
\(403\) −5.92566 3.16733i −0.295178 0.157776i
\(404\) −2.88890 15.8386i −0.143728 0.788001i
\(405\) −26.0114 + 5.12866i −1.29252 + 0.254845i
\(406\) −5.06598 5.67975i −0.251420 0.281881i
\(407\) 1.89613 + 2.83776i 0.0939877 + 0.140662i
\(408\) −21.0760 19.0938i −1.04342 0.945282i
\(409\) 1.87506 + 1.25288i 0.0927159 + 0.0619508i 0.601064 0.799201i \(-0.294744\pi\)
−0.508348 + 0.861152i \(0.669744\pi\)
\(410\) −3.37228 + 4.47207i −0.166545 + 0.220860i
\(411\) 24.6635 + 28.6161i 1.21656 + 1.41153i
\(412\) 5.91234 + 7.44299i 0.291280 + 0.366690i
\(413\) −0.863059 + 8.76278i −0.0424683 + 0.431188i
\(414\) 0.593278 + 0.0637132i 0.0291580 + 0.00313133i
\(415\) −0.562627 0.562627i −0.0276183 0.0276183i
\(416\) −6.06621 19.3517i −0.297420 0.948794i
\(417\) −14.8125 9.38859i −0.725369 0.459761i
\(418\) 4.36413 1.05627i 0.213456 0.0516640i
\(419\) −2.09096 + 21.2299i −0.102150 + 1.03715i 0.798321 + 0.602233i \(0.205722\pi\)
−0.900471 + 0.434916i \(0.856778\pi\)
\(420\) −3.52398 6.46501i −0.171952 0.315460i
\(421\) 22.5461 12.0512i 1.09883 0.587337i 0.180670 0.983544i \(-0.442174\pi\)
0.918161 + 0.396206i \(0.129674\pi\)
\(422\) −32.0212 + 4.48943i −1.55877 + 0.218542i
\(423\) 1.06088 7.11079i 0.0515819 0.345739i
\(424\) −7.70982 17.3631i −0.374422 0.843228i
\(425\) −11.8612 17.7515i −0.575352 0.861075i
\(426\) −5.95101 + 0.981254i −0.288327 + 0.0475419i
\(427\) 5.32363 6.48686i 0.257628 0.313921i
\(428\) −15.4320 23.9120i −0.745936 1.15583i
\(429\) 0.868811 3.13437i 0.0419466 0.151329i
\(430\) −18.7366 6.87296i −0.903558 0.331443i
\(431\) 25.3136 + 10.4852i 1.21931 + 0.505056i 0.897191 0.441642i \(-0.145604\pi\)
0.322122 + 0.946698i \(0.395604\pi\)
\(432\) 17.9187 10.5319i 0.862112 0.506718i
\(433\) −0.358052 + 0.148310i −0.0172069 + 0.00712733i −0.391270 0.920276i \(-0.627964\pi\)
0.374063 + 0.927403i \(0.377964\pi\)
\(434\) 1.91083 0.0786158i 0.0917227 0.00377368i
\(435\) 33.1191 18.7434i 1.58794 0.898677i
\(436\) 8.18117 + 8.44618i 0.391807 + 0.404499i
\(437\) 0.0835588 + 0.848387i 0.00399716 + 0.0405838i
\(438\) 6.56828 28.1436i 0.313845 1.34475i
\(439\) −6.03638 + 30.3469i −0.288101 + 1.44838i 0.517379 + 0.855756i \(0.326908\pi\)
−0.805480 + 0.592623i \(0.798092\pi\)
\(440\) 0.537004 + 4.33114i 0.0256006 + 0.206479i
\(441\) 11.5662 + 15.6225i 0.550770 + 0.743931i
\(442\) −14.9294 25.3644i −0.710120 1.20646i
\(443\) −23.3155 7.07269i −1.10775 0.336034i −0.317159 0.948372i \(-0.602729\pi\)
−0.790595 + 0.612339i \(0.790229\pi\)
\(444\) −10.4766 + 19.9924i −0.497199 + 0.948798i
\(445\) −23.1442 28.2013i −1.09714 1.33687i
\(446\) 12.8895 + 2.01708i 0.610337 + 0.0955113i
\(447\) −6.44960 28.7778i −0.305056 1.36114i
\(448\) 4.28200 + 3.87102i 0.202305 + 0.182889i
\(449\) −23.7154 −1.11920 −0.559598 0.828764i \(-0.689045\pi\)
−0.559598 + 0.828764i \(0.689045\pi\)
\(450\) 14.9708 4.39775i 0.705731 0.207312i
\(451\) 0.544379 0.446760i 0.0256338 0.0210371i
\(452\) −1.58408 19.2186i −0.0745087 0.903968i
\(453\) 34.7168 + 2.57550i 1.63114 + 0.121008i
\(454\) 5.61262 + 9.53559i 0.263413 + 0.447527i
\(455\) −1.48662 7.47376i −0.0696940 0.350375i
\(456\) 19.9468 + 21.9982i 0.934094 + 1.03016i
\(457\) −4.64179 0.923310i −0.217134 0.0431906i 0.0853245 0.996353i \(-0.472807\pi\)
−0.302458 + 0.953163i \(0.597807\pi\)
\(458\) 15.4992 32.1059i 0.724231 1.50021i
\(459\) 21.8723 20.7718i 1.02091 0.969544i
\(460\) −0.828496 0.0132046i −0.0386288 0.000615667i
\(461\) −27.3813 + 8.30604i −1.27528 + 0.386851i −0.854091 0.520124i \(-0.825886\pi\)
−0.421185 + 0.906975i \(0.638386\pi\)
\(462\) 0.239424 + 0.894281i 0.0111390 + 0.0416057i
\(463\) 6.30846 + 15.2300i 0.293179 + 0.707797i 1.00000 0.000404394i \(0.000128723\pi\)
−0.706821 + 0.707393i \(0.749871\pi\)
\(464\) −19.6517 + 22.4470i −0.912306 + 1.04207i
\(465\) −1.63878 + 9.42108i −0.0759967 + 0.436892i
\(466\) −8.51992 3.12528i −0.394678 0.144776i
\(467\) 9.33155 + 4.98782i 0.431813 + 0.230809i 0.672959 0.739680i \(-0.265023\pi\)
−0.241146 + 0.970489i \(0.577523\pi\)
\(468\) 20.9505 4.87585i 0.968437 0.225386i
\(469\) −6.10754 5.01233i −0.282020 0.231448i
\(470\) −0.569324 + 9.96755i −0.0262609 + 0.459769i
\(471\) −14.7166 14.0232i −0.678107 0.646154i
\(472\) 34.5049 0.869100i 1.58822 0.0400036i
\(473\) 2.08640 + 1.39409i 0.0959328 + 0.0641002i
\(474\) 3.76257 1.41525i 0.172821 0.0650044i
\(475\) 10.5087 + 19.6603i 0.482170 + 0.902077i
\(476\) 7.32420 + 4.06624i 0.335704 + 0.186376i
\(477\) 18.9781 6.77252i 0.868946 0.310092i
\(478\) 27.4162 6.63569i 1.25399 0.303509i
\(479\) 5.38692 + 5.38692i 0.246134 + 0.246134i 0.819382 0.573248i \(-0.194317\pi\)
−0.573248 + 0.819382i \(0.694317\pi\)
\(480\) −23.4502 + 16.8271i −1.07035 + 0.768049i
\(481\) −16.5175 + 16.5175i −0.753135 + 0.753135i
\(482\) 4.06340 6.65848i 0.185083 0.303285i
\(483\) −0.174454 + 0.0214426i −0.00793794 + 0.000975672i
\(484\) −2.44253 + 21.3118i −0.111024 + 0.968716i
\(485\) −44.4519 + 23.7600i −2.01845 + 1.07889i
\(486\) 9.71317 + 19.7903i 0.440598 + 0.897704i
\(487\) −17.0316 + 25.4896i −0.771777 + 1.15505i 0.212283 + 0.977208i \(0.431910\pi\)
−0.984060 + 0.177838i \(0.943090\pi\)
\(488\) −27.8027 17.5810i −1.25857 0.795853i
\(489\) −18.1283 17.2741i −0.819791 0.781161i
\(490\) −17.9675 20.1443i −0.811687 0.910027i
\(491\) 17.8601 21.7626i 0.806015 0.982133i −0.193984 0.981005i \(-0.562141\pi\)
0.999999 0.00112791i \(-0.000359024\pi\)
\(492\) 4.31729 + 1.74701i 0.194639 + 0.0787612i
\(493\) −20.4099 + 38.1843i −0.919218 + 1.71974i
\(494\) 12.9178 + 27.8852i 0.581201 + 1.25461i
\(495\) −4.62365 + 0.223259i −0.207818 + 0.0100347i
\(496\) −1.22747 7.39551i −0.0551152 0.332068i
\(497\) 1.64142 0.679899i 0.0736278 0.0304976i
\(498\) −0.330928 + 0.572910i −0.0148292 + 0.0256727i
\(499\) −0.359571 1.18535i −0.0160966 0.0530634i 0.948524 0.316705i \(-0.102576\pi\)
−0.964621 + 0.263641i \(0.915076\pi\)
\(500\) 7.24377 2.86610i 0.323951 0.128176i
\(501\) 25.5600 8.43200i 1.14194 0.376714i
\(502\) −18.9969 + 6.62693i −0.847873 + 0.295774i
\(503\) 3.15813 15.8770i 0.140814 0.707920i −0.844280 0.535903i \(-0.819971\pi\)
0.985094 0.172018i \(-0.0550286\pi\)
\(504\) −4.43507 + 4.22084i −0.197554 + 0.188011i
\(505\) −23.2579 + 4.62629i −1.03496 + 0.205867i
\(506\) 0.100855 + 0.0261187i 0.00448355 + 0.00116112i
\(507\) −0.254418 0.0188742i −0.0112991 0.000838234i
\(508\) 34.0981 + 10.9399i 1.51286 + 0.485380i
\(509\) −3.24784 3.95750i −0.143958 0.175413i 0.696040 0.718003i \(-0.254944\pi\)
−0.839998 + 0.542590i \(0.817444\pi\)
\(510\) −27.6249 + 31.4871i −1.22325 + 1.39427i
\(511\) 8.51304i 0.376595i
\(512\) 12.9936 18.5248i 0.574241 0.818687i
\(513\) −24.8544 + 19.3463i −1.09735 + 0.854160i
\(514\) −5.05762 + 3.68889i −0.223082 + 0.162710i
\(515\) 10.8226 8.88189i 0.476902 0.391383i
\(516\) −1.49132 + 16.5278i −0.0656515 + 0.727596i
\(517\) 0.364391 1.20124i 0.0160259 0.0528303i
\(518\) 1.66686 6.43645i 0.0732378 0.282802i
\(519\) −4.47741 + 1.98245i −0.196536 + 0.0870200i
\(520\) −28.3571 + 9.38802i −1.24354 + 0.411692i
\(521\) 21.7600 + 4.32834i 0.953324 + 0.189628i 0.647163 0.762352i \(-0.275955\pi\)
0.306161 + 0.951980i \(0.400955\pi\)
\(522\) −22.1774 22.5715i −0.970679 0.987929i
\(523\) 17.3567 1.70949i 0.758956 0.0747506i 0.288866 0.957369i \(-0.406722\pi\)
0.470089 + 0.882619i \(0.344222\pi\)
\(524\) 0.677200 + 1.71155i 0.0295836 + 0.0747696i
\(525\) −4.00012 + 2.26383i −0.174580 + 0.0988015i
\(526\) 12.7240 + 11.7184i 0.554792 + 0.510945i
\(527\) −4.16347 10.0515i −0.181364 0.437851i
\(528\) 3.36342 1.36274i 0.146374 0.0593055i
\(529\) 8.79415 21.2310i 0.382354 0.923085i
\(530\) −25.3900 + 11.7619i −1.10287 + 0.510904i
\(531\) −1.82701 + 36.5640i −0.0792856 + 1.58674i
\(532\) −7.19473 4.97501i −0.311931 0.215694i
\(533\) 3.72591 + 3.05778i 0.161387 + 0.132447i
\(534\) −17.6750 + 24.6548i −0.764874 + 1.06692i
\(535\) −34.8533 + 23.2883i −1.50684 + 1.00684i
\(536\) −16.5529 + 26.1769i −0.714978 + 1.13067i
\(537\) −5.03810 + 13.0445i −0.217410 + 0.562911i
\(538\) 20.9237 27.7475i 0.902084 1.19628i
\(539\) 1.59987 + 2.99315i 0.0689114 + 0.128924i
\(540\) −15.9311 26.1419i −0.685566 1.12497i
\(541\) −4.50130 0.443339i −0.193526 0.0190606i 0.000789779 1.00000i \(-0.499749\pi\)
−0.194316 + 0.980939i \(0.562249\pi\)
\(542\) 25.1404 + 15.3422i 1.07987 + 0.659004i
\(543\) −9.30739 5.89931i −0.399418 0.253164i
\(544\) 12.2857 30.4536i 0.526744 1.30569i
\(545\) 12.2468 12.2468i 0.524594 0.524594i
\(546\) −5.68346 + 2.80131i −0.243229 + 0.119885i
\(547\) 15.2064 + 1.49770i 0.650178 + 0.0640370i 0.417729 0.908572i \(-0.362826\pi\)
0.232449 + 0.972609i \(0.425326\pi\)
\(548\) −21.1738 + 38.1387i −0.904500 + 1.62921i
\(549\) 20.8077 28.0068i 0.888050 1.19530i
\(550\) 2.69797 0.378260i 0.115042 0.0161290i
\(551\) 25.1169 37.5901i 1.07002 1.60139i
\(552\) 0.167559 + 0.668312i 0.00713180 + 0.0284453i
\(553\) −0.984588 + 0.657881i −0.0418689 + 0.0279759i
\(554\) 19.9691 + 1.14059i 0.848408 + 0.0484591i
\(555\) 29.6890 + 14.9598i 1.26023 + 0.635008i
\(556\) 4.26663 19.7957i 0.180945 0.839523i
\(557\) 11.7833 22.0450i 0.499274 0.934076i −0.498468 0.866908i \(-0.666104\pi\)
0.997742 0.0671677i \(-0.0213963\pi\)
\(558\) 7.91970 0.709657i 0.335268 0.0300422i
\(559\) −6.57237 + 15.8671i −0.277982 + 0.671107i
\(560\) 5.60040 6.39702i 0.236660 0.270323i
\(561\) 4.30720 3.03077i 0.181850 0.127959i
\(562\) 9.35603 0.384928i 0.394660 0.0162372i
\(563\) 4.26075 + 14.0458i 0.179569 + 0.591961i 0.999801 + 0.0199297i \(0.00634424\pi\)
−0.820232 + 0.572031i \(0.806156\pi\)
\(564\) 8.12867 1.68620i 0.342279 0.0710016i
\(565\) −28.2664 + 2.78399i −1.18918 + 0.117124i
\(566\) 32.9233 + 15.8938i 1.38387 + 0.668067i
\(567\) −4.11128 5.02677i −0.172657 0.211105i
\(568\) −3.43662 6.05746i −0.144197 0.254165i
\(569\) −4.50499 + 0.896099i −0.188859 + 0.0375664i −0.288614 0.957446i \(-0.593194\pi\)
0.0997544 + 0.995012i \(0.468194\pi\)
\(570\) 31.9289 29.8923i 1.33735 1.25205i
\(571\) 2.32045 7.64949i 0.0971077 0.320121i −0.894905 0.446256i \(-0.852757\pi\)
0.992013 + 0.126135i \(0.0402571\pi\)
\(572\) 3.74303 0.308516i 0.156504 0.0128997i
\(573\) −22.7625 + 29.1423i −0.950919 + 1.21744i
\(574\) −1.35543 0.212110i −0.0565744 0.00885329i
\(575\) 0.517243i 0.0215705i
\(576\) 18.5589 + 15.2173i 0.773289 + 0.634054i
\(577\) 4.97055i 0.206927i −0.994633 0.103463i \(-0.967008\pi\)
0.994633 0.103463i \(-0.0329924\pi\)
\(578\) 3.65115 23.3316i 0.151868 0.970467i
\(579\) −2.91777 + 3.73554i −0.121258 + 0.155244i
\(580\) 33.5192 + 28.4144i 1.39181 + 1.17984i
\(581\) 0.0565745 0.186501i 0.00234711 0.00773737i
\(582\) 28.6440 + 30.5955i 1.18733 + 1.26823i
\(583\) 3.45064 0.686376i 0.142911 0.0284268i
\(584\) 33.1171 4.10608i 1.37040 0.169911i
\(585\) −7.67249 30.7397i −0.317218 1.27093i
\(586\) −18.9816 + 39.3195i −0.784122 + 1.62427i
\(587\) −19.3250 + 1.90334i −0.797627 + 0.0785594i −0.488616 0.872499i \(-0.662498\pi\)
−0.309011 + 0.951058i \(0.599998\pi\)
\(588\) −12.3167 + 18.7640i −0.507931 + 0.773813i
\(589\) 3.29770 + 10.8711i 0.135880 + 0.447935i
\(590\) −2.08984 50.7955i −0.0860373 2.09122i
\(591\) 6.74469 4.74592i 0.277439 0.195221i
\(592\) −25.8428 3.37989i −1.06213 0.138912i
\(593\) 6.87928 16.6080i 0.282498 0.682011i −0.717394 0.696667i \(-0.754665\pi\)
0.999893 + 0.0146564i \(0.00466543\pi\)
\(594\) 1.17363 + 3.66585i 0.0481547 + 0.150411i
\(595\) 5.81650 10.8819i 0.238453 0.446114i
\(596\) 28.6128 18.4658i 1.17203 0.756388i
\(597\) 21.3780 + 10.7720i 0.874944 + 0.440870i
\(598\) −0.0406619 + 0.711897i −0.00166279 + 0.0291116i
\(599\) 8.41144 5.62034i 0.343682 0.229641i −0.371735 0.928339i \(-0.621237\pi\)
0.715417 + 0.698698i \(0.246237\pi\)
\(600\) 10.7360 + 14.4692i 0.438296 + 0.590703i
\(601\) 1.36742 2.04648i 0.0557780 0.0834777i −0.802532 0.596609i \(-0.796514\pi\)
0.858310 + 0.513131i \(0.171514\pi\)
\(602\) −0.678721 4.84103i −0.0276626 0.197306i
\(603\) −26.3691 19.5909i −1.07383 0.797805i
\(604\) 11.0543 + 38.6479i 0.449792 + 1.57256i
\(605\) 31.4435 + 3.09691i 1.27836 + 0.125907i
\(606\) 8.71753 + 17.6866i 0.354125 + 0.718469i
\(607\) −4.18460 + 4.18460i −0.169848 + 0.169848i −0.786912 0.617065i \(-0.788322\pi\)
0.617065 + 0.786912i \(0.288322\pi\)
\(608\) −15.8834 + 30.3882i −0.644156 + 1.23241i
\(609\) 7.87299 + 4.99014i 0.319030 + 0.202211i
\(610\) −25.2392 + 41.3580i −1.02190 + 1.67454i
\(611\) 8.55024 + 0.842125i 0.345906 + 0.0340687i
\(612\) 31.2320 + 15.4180i 1.26248 + 0.623235i
\(613\) −5.50142 10.2924i −0.222200 0.415708i 0.745977 0.665971i \(-0.231983\pi\)
−0.968178 + 0.250264i \(0.919483\pi\)
\(614\) −5.78677 4.36366i −0.233535 0.176103i
\(615\) 2.47151 6.39915i 0.0996607 0.258038i
\(616\) −0.873601 + 0.616094i −0.0351984 + 0.0248231i
\(617\) −8.10267 + 5.41403i −0.326201 + 0.217961i −0.707877 0.706336i \(-0.750347\pi\)
0.381676 + 0.924296i \(0.375347\pi\)
\(618\) −9.46158 6.78303i −0.380600 0.272853i
\(619\) −33.7760 27.7193i −1.35757 1.11413i −0.982320 0.187209i \(-0.940056\pi\)
−0.375253 0.926922i \(-0.622444\pi\)
\(620\) −10.8627 + 1.98131i −0.436255 + 0.0795712i
\(621\) −0.720190 + 0.124032i −0.0289002 + 0.00497722i
\(622\) 5.81248 + 12.5472i 0.233059 + 0.503096i
\(623\) 3.41968 8.25583i 0.137006 0.330763i
\(624\) 13.6389 + 20.7584i 0.545991 + 0.831002i
\(625\) −11.4280 27.5897i −0.457122 1.10359i
\(626\) 6.13541 6.66192i 0.245220 0.266264i
\(627\) −4.78598 + 2.70857i −0.191134 + 0.108170i
\(628\) 9.32710 21.5401i 0.372192 0.859545i
\(629\) −37.6421 + 3.70742i −1.50089 + 0.147824i
\(630\) 6.32020 + 6.43251i 0.251803 + 0.256277i
\(631\) −25.6842 5.10890i −1.02247 0.203382i −0.344744 0.938697i \(-0.612034\pi\)
−0.677726 + 0.735315i \(0.737034\pi\)
\(632\) 3.03416 + 3.51289i 0.120692 + 0.139735i
\(633\) 36.2107 16.0329i 1.43924 0.637251i
\(634\) −1.36954 0.354674i −0.0543915 0.0140859i
\(635\) 15.3110 50.4736i 0.607598 2.00298i
\(636\) 14.9075 + 17.8646i 0.591123 + 0.708378i
\(637\) −17.9562 + 14.7363i −0.711452 + 0.583874i
\(638\) −3.25575 4.46378i −0.128897 0.176723i
\(639\) 6.68031 3.15270i 0.264269 0.124719i
\(640\) −27.5867 18.7010i −1.09046 0.739222i
\(641\) 34.6737i 1.36953i −0.728765 0.684764i \(-0.759905\pi\)
0.728765 0.684764i \(-0.240095\pi\)
\(642\) 26.2009 + 22.9872i 1.03407 + 0.907231i
\(643\) −15.5428 18.9389i −0.612947 0.746878i 0.370349 0.928893i \(-0.379238\pi\)
−0.983296 + 0.182015i \(0.941738\pi\)
\(644\) −0.0928092 0.180495i −0.00365720 0.00711250i
\(645\) 24.3757 + 1.80834i 0.959793 + 0.0712033i
\(646\) −12.4755 + 48.1731i −0.490842 + 1.89534i
\(647\) 3.61010 0.718094i 0.141928 0.0282312i −0.123615 0.992330i \(-0.539449\pi\)
0.265543 + 0.964099i \(0.414449\pi\)
\(648\) −17.5720 + 18.4181i −0.690292 + 0.723531i
\(649\) −1.24703 + 6.26922i −0.0489501 + 0.246089i
\(650\) 6.14169 + 17.6059i 0.240897 + 0.690560i
\(651\) −2.22435 + 0.733790i −0.0871790 + 0.0287595i
\(652\) 11.4893 26.5336i 0.449957 1.03914i
\(653\) −11.0559 36.4466i −0.432653 1.42626i −0.854431 0.519565i \(-0.826094\pi\)
0.421778 0.906699i \(-0.361406\pi\)
\(654\) −12.4706 7.20335i −0.487640 0.281673i
\(655\) 2.50473 1.03750i 0.0978681 0.0405383i
\(656\) −0.171381 + 5.37513i −0.00669132 + 0.209864i
\(657\) 1.70710 + 35.3538i 0.0666003 + 1.37928i
\(658\) −2.21891 + 1.02791i −0.0865022 + 0.0400722i
\(659\) −23.3000 + 43.5913i −0.907640 + 1.69807i −0.215239 + 0.976561i \(0.569053\pi\)
−0.692401 + 0.721513i \(0.743447\pi\)
\(660\) −2.08587 4.92137i −0.0811923 0.191564i
\(661\) 29.1970 35.5766i 1.13563 1.38377i 0.223083 0.974799i \(-0.428388\pi\)
0.912548 0.408971i \(-0.134112\pi\)
\(662\) −21.9772 + 19.6023i −0.854168 + 0.761864i
\(663\) 26.0962 + 24.8666i 1.01349 + 0.965737i
\(664\) −0.752807 0.130129i −0.0292146 0.00504999i
\(665\) −7.15790 + 10.7125i −0.277571 + 0.415415i
\(666\) 5.63162 27.0642i 0.218221 1.04872i
\(667\) 0.925103 0.494478i 0.0358202 0.0191463i
\(668\) 19.3307 + 24.3353i 0.747929 + 0.941560i
\(669\) −15.8592 + 1.94929i −0.613151 + 0.0753640i
\(670\) 38.9396 + 23.7633i 1.50437 + 0.918057i
\(671\) 4.30760 4.30760i 0.166293 0.166293i
\(672\) −6.34263 3.12275i −0.244672 0.120463i
\(673\) 3.20382 + 3.20382i 0.123498 + 0.123498i 0.766155 0.642656i \(-0.222168\pi\)
−0.642656 + 0.766155i \(0.722168\pi\)
\(674\) −4.39654 18.1649i −0.169349 0.699685i
\(675\) −16.1581 + 10.2036i −0.621927 + 0.392736i
\(676\) −0.0810098 0.283226i −0.00311576 0.0108933i
\(677\) −0.256084 0.479099i −0.00984211 0.0184133i 0.876952 0.480578i \(-0.159573\pi\)
−0.886794 + 0.462164i \(0.847073\pi\)
\(678\) 8.31479 + 22.1057i 0.319327 + 0.848964i
\(679\) −10.2652 6.85899i −0.393942 0.263224i
\(680\) −45.1378 17.3785i −1.73096 0.666434i
\(681\) −9.81072 9.34843i −0.375948 0.358233i
\(682\) 1.38606 + 0.0791688i 0.0530751 + 0.00303153i
\(683\) 27.9813 + 22.9637i 1.07067 + 0.878680i 0.992978 0.118297i \(-0.0377435\pi\)
0.0776965 + 0.996977i \(0.475243\pi\)
\(684\) −30.8766 19.2180i −1.18060 0.734817i
\(685\) 56.6644 + 30.2878i 2.16504 + 1.15724i
\(686\) 4.73684 12.9133i 0.180854 0.493031i
\(687\) −7.48288 + 43.0178i −0.285490 + 1.64123i
\(688\) −18.5050 + 4.97530i −0.705497 + 0.189682i
\(689\) 9.21504 + 22.2471i 0.351065 + 0.847546i
\(690\) 0.980300 0.262454i 0.0373194 0.00999144i
\(691\) −16.3533 + 4.96071i −0.622108 + 0.188714i −0.585575 0.810618i \(-0.699131\pi\)
−0.0365328 + 0.999332i \(0.511631\pi\)
\(692\) −3.93389 4.06131i −0.149544 0.154388i
\(693\) −0.582095 0.973016i −0.0221120 0.0369618i
\(694\) 15.3616 + 7.41587i 0.583120 + 0.281503i
\(695\) −29.2535 5.81888i −1.10965 0.220723i
\(696\) 15.6151 33.0341i 0.591889 1.25215i
\(697\) 1.52262 + 7.65474i 0.0576734 + 0.289944i
\(698\) 18.9866 11.1755i 0.718653 0.422997i
\(699\) 11.0842 + 0.822290i 0.419241 + 0.0311018i
\(700\) −4.04845 3.43189i −0.153017 0.129713i
\(701\) 3.19500 2.62207i 0.120673 0.0990341i −0.572121 0.820169i \(-0.693879\pi\)
0.692795 + 0.721135i \(0.256379\pi\)
\(702\) −23.0411 + 12.7732i −0.869629 + 0.482095i
\(703\) 39.4949 1.48958
\(704\) 2.81807 + 3.10129i 0.106210 + 0.116884i
\(705\) −2.67408 11.9316i −0.100712 0.449371i
\(706\) 3.94862 25.2325i 0.148608 0.949637i
\(707\) −3.68483 4.48997i −0.138582 0.168863i
\(708\) −40.3510 + 12.6020i −1.51648 + 0.473614i
\(709\) 36.7214 + 11.1393i 1.37910 + 0.418346i 0.890827 0.454343i \(-0.150126\pi\)
0.488276 + 0.872689i \(0.337626\pi\)
\(710\) −8.84024 + 5.20334i −0.331768 + 0.195278i
\(711\) −3.95697 + 2.92955i −0.148398 + 0.109867i
\(712\) −33.7659 9.32107i −1.26543 0.349322i
\(713\) −0.0514230 + 0.258521i −0.00192580 + 0.00968167i
\(714\) −9.99149 2.33186i −0.373922 0.0872678i
\(715\) −0.542212 5.50517i −0.0202776 0.205882i
\(716\) −16.1448 0.257316i −0.603360 0.00961636i
\(717\) −30.0663 + 17.0157i −1.12285 + 0.635464i
\(718\) −1.62337 39.4575i −0.0605836 1.47254i
\(719\) 14.6158 6.05404i 0.545076 0.225778i −0.0931159 0.995655i \(-0.529683\pi\)
0.638192 + 0.769878i \(0.279683\pi\)
\(720\) 21.9751 27.6892i 0.818964 1.03191i
\(721\) 3.16828 + 1.31234i 0.117993 + 0.0488742i
\(722\) 8.64061 23.5555i 0.321570 0.876643i
\(723\) −2.55191 + 9.20639i −0.0949065 + 0.342389i
\(724\) 2.68093 12.4386i 0.0996361 0.462276i
\(725\) 17.4016 21.2039i 0.646280 0.787494i
\(726\) −4.27429 25.9223i −0.158634 0.962067i
\(727\) −13.9806 20.9235i −0.518512 0.776008i 0.476131 0.879374i \(-0.342039\pi\)
−0.994643 + 0.103366i \(0.967039\pi\)
\(728\) −5.30222 5.04168i −0.196513 0.186857i
\(729\) −18.0817 20.0512i −0.669693 0.742638i
\(730\) −6.82441 48.6757i −0.252583 1.80157i
\(731\) −24.5257 + 13.1093i −0.907116 + 0.484864i
\(732\) 38.6476 + 11.3789i 1.42846 + 0.420577i
\(733\) 3.30388 33.5449i 0.122032 1.23901i −0.717834 0.696214i \(-0.754866\pi\)
0.839866 0.542794i \(-0.182634\pi\)
\(734\) −2.98827 12.3464i −0.110299 0.455715i
\(735\) 27.9231 + 17.6985i 1.02996 + 0.652819i
\(736\) −0.657390 + 0.448101i −0.0242317 + 0.0165172i
\(737\) −4.05572 4.05572i −0.149394 0.149394i
\(738\) −5.67148 0.609070i −0.208770 0.0224202i
\(739\) −1.29278 + 13.1258i −0.0475556 + 0.482840i 0.941680 + 0.336509i \(0.109246\pi\)
−0.989236 + 0.146331i \(0.953254\pi\)
\(740\) −4.37102 + 38.1384i −0.160682 + 1.40200i
\(741\) −24.5727 28.5108i −0.902701 1.04737i
\(742\) −5.47242 4.12662i −0.200899 0.151493i
\(743\) 4.96866 + 3.31995i 0.182282 + 0.121797i 0.643364 0.765561i \(-0.277538\pi\)
−0.461081 + 0.887358i \(0.652538\pi\)
\(744\) 3.92743 + 8.29914i 0.143987 + 0.304261i
\(745\) −27.8664 41.7051i −1.02095 1.52796i
\(746\) 2.44080 2.17704i 0.0893641 0.0797072i
\(747\) 0.197549 0.785865i 0.00722795 0.0287533i
\(748\) 5.00201 + 3.45879i 0.182892 + 0.126466i
\(749\) −9.05501 4.84000i −0.330863 0.176850i
\(750\) −7.57056 + 5.80661i −0.276438 + 0.212027i
\(751\) −32.1836 13.3309i −1.17440 0.486452i −0.291754 0.956493i \(-0.594239\pi\)
−0.882644 + 0.470042i \(0.844239\pi\)
\(752\) 5.06899 + 8.13613i 0.184847 + 0.296694i
\(753\) 20.1524 14.1803i 0.734393 0.516757i
\(754\) 25.6173 27.8156i 0.932926 1.01298i
\(755\) 56.6578 17.1869i 2.06199 0.625497i
\(756\) 3.80765 6.45987i 0.138483 0.234943i
\(757\) 1.04206 + 10.5803i 0.0378745 + 0.384546i 0.995371 + 0.0961026i \(0.0306377\pi\)
−0.957497 + 0.288443i \(0.906862\pi\)
\(758\) −17.6530 50.6046i −0.641187 1.83804i
\(759\) −0.127559 + 0.00307789i −0.00463011 + 0.000111720i
\(760\) 45.1260 + 22.6784i 1.63689 + 0.822632i
\(761\) 5.44809 + 27.3894i 0.197493 + 0.992864i 0.944616 + 0.328178i \(0.106435\pi\)
−0.747123 + 0.664686i \(0.768565\pi\)
\(762\) −43.8345 1.44405i −1.58796 0.0523124i
\(763\) 4.05960 + 1.23146i 0.146967 + 0.0445820i
\(764\) −40.6577 13.0445i −1.47095 0.471932i
\(765\) 21.9732 46.3578i 0.794442 1.67607i
\(766\) 28.9973 + 39.7566i 1.04772 + 1.43646i
\(767\) −43.7493 −1.57970
\(768\) −9.08878 + 26.1800i −0.327963 + 0.944691i
\(769\) −23.3480 −0.841949 −0.420975 0.907072i \(-0.638312\pi\)
−0.420975 + 0.907072i \(0.638312\pi\)
\(770\) 0.927836 + 1.27210i 0.0334369 + 0.0458434i
\(771\) 4.71945 6.04219i 0.169967 0.217604i
\(772\) −5.21163 1.67208i −0.187571 0.0601793i
\(773\) 26.2697 + 7.96883i 0.944856 + 0.286619i 0.724871 0.688884i \(-0.241899\pi\)
0.219985 + 0.975503i \(0.429399\pi\)
\(774\) −3.78942 19.9682i −0.136208 0.717742i
\(775\) 1.34471 + 6.76029i 0.0483033 + 0.242837i
\(776\) −21.7314 + 43.2416i −0.780111 + 1.55228i
\(777\) 0.196427 + 8.14070i 0.00704679 + 0.292046i
\(778\) 5.65351 + 16.2065i 0.202688 + 0.581030i
\(779\) −0.798785 8.11020i −0.0286195 0.290578i
\(780\) 30.2511 20.5734i 1.08316 0.736645i
\(781\) 1.23422 0.374395i 0.0441637 0.0133969i
\(782\) −0.782178 + 0.849301i −0.0279706 + 0.0303709i
\(783\) 33.6964 + 19.1448i 1.20421 + 0.684179i
\(784\) −25.2454 5.86375i −0.901623 0.209420i
\(785\) −31.9414 13.2306i −1.14004 0.472219i
\(786\) −1.37198 1.78877i −0.0489370 0.0638032i
\(787\) −26.1800 13.9935i −0.933217 0.498815i −0.0665947 0.997780i \(-0.521213\pi\)
−0.866622 + 0.498965i \(0.833713\pi\)
\(788\) 7.83270 + 5.41616i 0.279028 + 0.192943i
\(789\) −18.9195 9.53322i −0.673552 0.339392i
\(790\) 5.10227 4.55090i 0.181531 0.161914i
\(791\) −3.86515 5.78460i −0.137429 0.205677i
\(792\) −3.50443 + 2.73376i −0.124524 + 0.0971398i
\(793\) 34.6680 + 23.1644i 1.23110 + 0.822591i
\(794\) 0.406106 + 0.306234i 0.0144121 + 0.0108678i
\(795\) 25.9595 22.3739i 0.920690 0.793520i
\(796\) −3.14742 + 27.4621i −0.111557 + 0.973370i
\(797\) −1.76634 + 17.9340i −0.0625670 + 0.635253i 0.911853 + 0.410518i \(0.134652\pi\)
−0.974420 + 0.224736i \(0.927848\pi\)
\(798\) 10.1439 + 3.44573i 0.359091 + 0.121978i
\(799\) 9.83714 + 9.83714i 0.348013 + 0.348013i
\(800\) −11.3979 + 17.4044i −0.402978 + 0.615340i
\(801\) 12.5460 34.9713i 0.443292 1.23565i
\(802\) −8.69599 35.9286i −0.307066 1.26868i
\(803\) −0.605743 + 6.15021i −0.0213762 + 0.217036i
\(804\) 10.7135 36.3877i 0.377837 1.28330i
\(805\) −0.263639 + 0.140918i −0.00929206 + 0.00496671i
\(806\) 1.31931 + 9.41011i 0.0464709 + 0.331457i
\(807\) −15.3348 + 39.7043i −0.539809 + 1.39766i
\(808\) −15.6894 + 16.5002i −0.551952 + 0.580475i
\(809\) 1.42666 + 2.13514i 0.0501586 + 0.0750677i 0.855701 0.517470i \(-0.173126\pi\)
−0.805543 + 0.592538i \(0.798126\pi\)
\(810\) 27.5370 + 25.4462i 0.967552 + 0.894088i
\(811\) 32.3346 39.3999i 1.13542 1.38352i 0.222725 0.974881i \(-0.428505\pi\)
0.912698 0.408635i \(-0.133995\pi\)
\(812\) −2.26776 + 10.5216i −0.0795829 + 0.369237i
\(813\) −34.7606 9.63524i −1.21911 0.337923i
\(814\) 1.66220 4.53138i 0.0582602 0.158825i
\(815\) −39.3462 16.2977i −1.37824 0.570884i
\(816\) −4.25215 + 39.9932i −0.148855 + 1.40004i
\(817\) 26.8274 11.1123i 0.938572 0.388769i
\(818\) −0.131101 3.18653i −0.00458383 0.111414i
\(819\) 5.75443 5.20673i 0.201076 0.181938i
\(820\) 7.92006 + 0.126230i 0.276580 + 0.00440814i
\(821\) 5.01689 + 50.9373i 0.175091 + 1.77773i 0.535112 + 0.844781i \(0.320269\pi\)
−0.360021 + 0.932944i \(0.617231\pi\)
\(822\) 12.1425 52.0278i 0.423519 1.81468i
\(823\) 2.58878 13.0147i 0.0902393 0.453664i −0.909075 0.416633i \(-0.863210\pi\)
0.999314 0.0370308i \(-0.0117900\pi\)
\(824\) 3.57708 12.9581i 0.124613 0.451417i
\(825\) −3.05095 + 1.35086i −0.106221 + 0.0470311i
\(826\) 10.7315 6.31651i 0.373395 0.219779i
\(827\) −1.84812 0.560621i −0.0642654 0.0194947i 0.257988 0.966148i \(-0.416940\pi\)
−0.322254 + 0.946653i \(0.604440\pi\)
\(828\) −0.421621 0.730966i −0.0146524 0.0254028i
\(829\) 18.5288 + 22.5775i 0.643534 + 0.784148i 0.987967 0.154663i \(-0.0494291\pi\)
−0.344434 + 0.938811i \(0.611929\pi\)
\(830\) −0.173973 + 1.11172i −0.00603870 + 0.0385885i
\(831\) −23.9040 + 5.35729i −0.829220 + 0.185842i
\(832\) −17.0555 + 23.0582i −0.591294 + 0.799400i
\(833\) −37.6131 −1.30322
\(834\) 1.61698 + 24.7486i 0.0559914 + 0.856974i
\(835\) 35.3852 29.0398i 1.22455 1.00497i
\(836\) −4.84380 4.10612i −0.167526 0.142013i
\(837\) −9.09033 + 3.49340i −0.314208 + 0.120750i
\(838\) 25.9995 15.3032i 0.898137 0.528641i
\(839\) 0.941702 + 4.73426i 0.0325112 + 0.163445i 0.993630 0.112690i \(-0.0359466\pi\)
−0.961119 + 0.276134i \(0.910947\pi\)
\(840\) −4.45004 + 9.41417i −0.153541 + 0.324820i
\(841\) −26.1168 5.19495i −0.900579 0.179136i
\(842\) −32.5587 15.7178i −1.12205 0.541671i
\(843\) −10.8911 + 3.59287i −0.375110 + 0.123745i
\(844\) 31.8150 + 32.8455i 1.09512 + 1.13059i
\(845\) −0.415209 + 0.125952i −0.0142836 + 0.00433289i
\(846\) −9.00878 + 4.71376i −0.309728 + 0.162062i
\(847\) 2.96161 + 7.14995i 0.101762 + 0.245675i
\(848\) −13.4137 + 23.2790i −0.460629 + 0.799404i
\(849\) −44.1130 7.67338i −1.51395 0.263350i
\(850\) −10.3979 + 28.3459i −0.356644 + 0.972258i
\(851\) 0.808174 + 0.431978i 0.0277038 + 0.0148080i
\(852\) 6.08054 + 5.98178i 0.208316 + 0.204932i
\(853\) −13.5889 11.1521i −0.465274 0.381841i 0.372346 0.928094i \(-0.378554\pi\)
−0.837620 + 0.546253i \(0.816054\pi\)
\(854\) −11.8483 0.676749i −0.405441 0.0231579i
\(855\) −27.5778 + 45.9234i −0.943142 + 1.57055i
\(856\) −14.4609 + 37.5599i −0.494264 + 1.28377i
\(857\) −13.1267 8.77096i −0.448398 0.299610i 0.310793 0.950478i \(-0.399405\pi\)
−0.759191 + 0.650867i \(0.774405\pi\)
\(858\) −4.30532 + 1.61939i −0.146981 + 0.0552851i
\(859\) 9.24406 + 17.2944i 0.315403 + 0.590078i 0.988808 0.149196i \(-0.0476687\pi\)
−0.673404 + 0.739274i \(0.735169\pi\)
\(860\) 7.76155 + 27.1358i 0.264667 + 0.925324i
\(861\) 1.66770 0.204982i 0.0568352 0.00698576i
\(862\) −9.11528 37.6610i −0.310468 1.28274i
\(863\) 30.2462 + 30.2462i 1.02959 + 1.02959i 0.999549 + 0.0300443i \(0.00956484\pi\)
0.0300443 + 0.999549i \(0.490435\pi\)
\(864\) −26.9665 11.6966i −0.917418 0.397926i
\(865\) −5.88882 + 5.88882i −0.200226 + 0.200226i
\(866\) 0.467846 + 0.285508i 0.0158981 + 0.00970195i
\(867\) 3.52845 + 28.7070i 0.119833 + 0.974941i
\(868\) −1.68225 2.11777i −0.0570992 0.0718816i
\(869\) −0.758123 + 0.405225i −0.0257176 + 0.0137463i
\(870\) −49.0163 22.2212i −1.66181 0.753369i
\(871\) 21.8099 32.6407i 0.738999 1.10599i
\(872\) 2.83254 16.3865i 0.0959219 0.554915i
\(873\) −44.0057 26.4262i −1.48937 0.894391i
\(874\) 0.899718 0.802492i 0.0304334 0.0271447i
\(875\) 1.78295 2.17253i 0.0602748 0.0734451i
\(876\) −37.6302 + 15.9491i −1.27141 + 0.538871i
\(877\) −7.82546 + 14.6404i −0.264247 + 0.494371i −0.978696 0.205317i \(-0.934178\pi\)
0.714449 + 0.699688i \(0.246678\pi\)
\(878\) 39.7044 18.3931i 1.33996 0.620737i
\(879\) 9.16413 52.6830i 0.309099 1.77696i
\(880\) 4.50117 4.22300i 0.151734 0.142357i
\(881\) 4.90593 2.03210i 0.165285 0.0684632i −0.298507 0.954407i \(-0.596489\pi\)
0.463792 + 0.885944i \(0.346489\pi\)
\(882\) 8.21118 26.2346i 0.276485 0.883367i
\(883\) −3.22734 10.6391i −0.108609 0.358035i 0.885742 0.464177i \(-0.153650\pi\)
−0.994351 + 0.106143i \(0.966150\pi\)
\(884\) −16.5392 + 38.1960i −0.556275 + 1.28467i
\(885\) 19.5063 + 59.1297i 0.655698 + 1.98762i
\(886\) 11.3493 + 32.5341i 0.381287 + 1.09300i
\(887\) −2.45078 + 12.3209i −0.0822892 + 0.413696i 0.917580 + 0.397550i \(0.130140\pi\)
−0.999870 + 0.0161455i \(0.994860\pi\)
\(888\) 31.5739 4.69062i 1.05955 0.157407i
\(889\) 12.6711 2.52044i 0.424975 0.0845328i
\(890\) −12.9347 + 49.9463i −0.433573 + 1.67420i
\(891\) −2.61250 3.92411i −0.0875219 0.131463i
\(892\) −8.43705 16.4083i −0.282493 0.549392i
\(893\) −9.21540 11.2290i −0.308382 0.375764i
\(894\) −27.5062 + 31.3517i −0.919944 + 1.04856i
\(895\) 23.7827i 0.794970i
\(896\) 0.854490 8.11853i 0.0285465 0.271221i
\(897\) −0.190987 0.852174i −0.00637686 0.0284532i
\(898\) 19.7636 + 27.0968i 0.659521 + 0.904231i
\(899\) 10.8055 8.86781i 0.360382 0.295758i
\(900\) −17.5010 13.4405i −0.583366 0.448015i
\(901\) −11.3186 + 37.3123i −0.377076 + 1.24305i
\(902\) −0.964129 0.249683i −0.0321020 0.00831353i
\(903\) 2.42389 + 5.47440i 0.0806620 + 0.182177i
\(904\) −20.6388 + 17.8261i −0.686436 + 0.592888i
\(905\) −18.3814 3.65629i −0.611019 0.121539i
\(906\) −25.9892 41.8132i −0.863432 1.38915i
\(907\) −1.43198 + 0.141038i −0.0475481 + 0.00468308i −0.121763 0.992559i \(-0.538855\pi\)
0.0742151 + 0.997242i \(0.476355\pi\)
\(908\) 6.21783 14.3595i 0.206346 0.476538i
\(909\) −16.2031 17.9075i −0.537422 0.593954i
\(910\) −7.30050 + 7.92699i −0.242009 + 0.262777i
\(911\) 13.1169 + 31.6671i 0.434584 + 1.04918i 0.977792 + 0.209580i \(0.0672097\pi\)
−0.543208 + 0.839598i \(0.682790\pi\)
\(912\) 8.51176 41.1235i 0.281852 1.36173i
\(913\) 0.0541425 0.130711i 0.00179185 0.00432592i
\(914\) 2.81336 + 6.07309i 0.0930578 + 0.200880i
\(915\) 15.8508 57.1840i 0.524010 1.89044i
\(916\) −49.6003 + 9.04690i −1.63884 + 0.298918i
\(917\) 0.513325 + 0.421275i 0.0169515 + 0.0139117i
\(918\) −41.9612 7.68041i −1.38493 0.253491i
\(919\) −38.6469 + 25.8230i −1.27484 + 0.851823i −0.994154 0.107976i \(-0.965563\pi\)
−0.280690 + 0.959799i \(0.590563\pi\)
\(920\) 0.675355 + 0.957630i 0.0222658 + 0.0315721i
\(921\) 8.28037 + 3.19808i 0.272848 + 0.105380i
\(922\) 32.3091 + 24.3635i 1.06404 + 0.802369i
\(923\) 4.16125 + 7.78515i 0.136969 + 0.256251i
\(924\) 0.822263 1.01883i 0.0270505 0.0335170i
\(925\) 23.8478 + 2.34881i 0.784112 + 0.0772283i
\(926\) 12.1443 19.9001i 0.399085 0.653959i
\(927\) 13.4207 + 4.81470i 0.440793 + 0.158135i
\(928\) 42.0246 + 3.74709i 1.37953 + 0.123004i
\(929\) −13.6475 + 13.6475i −0.447759 + 0.447759i −0.894609 0.446850i \(-0.852546\pi\)
0.446850 + 0.894609i \(0.352546\pi\)
\(930\) 12.1301 5.97878i 0.397761 0.196052i
\(931\) 39.0854 + 3.84958i 1.28097 + 0.126165i
\(932\) 3.52934 + 12.3392i 0.115607 + 0.404185i
\(933\) −11.0567 12.8286i −0.361980 0.419991i
\(934\) −2.07762 14.8188i −0.0679817 0.484885i
\(935\) 4.97640 7.44771i 0.162746 0.243566i
\(936\) −23.0306 19.8743i −0.752777 0.649613i
\(937\) −10.8803 + 7.27000i −0.355445 + 0.237501i −0.720453 0.693504i \(-0.756066\pi\)
0.365008 + 0.931004i \(0.381066\pi\)
\(938\) −0.637176 + 11.1555i −0.0208045 + 0.364240i
\(939\) −4.99133 + 9.90572i −0.162886 + 0.323261i
\(940\) 11.8632 7.65614i 0.386936 0.249716i
\(941\) 24.1853 45.2475i 0.788419 1.47503i −0.0893800 0.995998i \(-0.528489\pi\)
0.877799 0.479030i \(-0.159011\pi\)
\(942\) −3.75828 + 28.5015i −0.122451 + 0.928628i
\(943\) 0.0723605 0.174694i 0.00235638 0.00568881i
\(944\) −29.7483 38.7005i −0.968225 1.25959i
\(945\) −9.60291 5.45595i −0.312383 0.177482i
\(946\) −0.145877 3.54568i −0.00474287 0.115280i
\(947\) −11.6424 38.3797i −0.378326 1.24717i −0.915024 0.403399i \(-0.867829\pi\)
0.536698 0.843774i \(-0.319671\pi\)
\(948\) −4.75265 3.11964i −0.154359 0.101321i
\(949\) −42.0941 + 4.14591i −1.36643 + 0.134582i
\(950\) 13.7060 28.3913i 0.444681 0.921135i
\(951\) 1.73217 0.0417957i 0.0561695 0.00135532i
\(952\) −1.45774 11.7572i −0.0472455 0.381053i
\(953\) 9.14144 1.81835i 0.296120 0.0589020i −0.0447943 0.998996i \(-0.514263\pi\)
0.340915 + 0.940094i \(0.389263\pi\)
\(954\) −23.5539 16.0400i −0.762585 0.519315i
\(955\) −18.2564 + 60.1834i −0.590764 + 1.94749i
\(956\) −30.4296 25.7953i −0.984164 0.834280i
\(957\) 5.33274 + 4.16531i 0.172383 + 0.134645i
\(958\) 1.66572 10.6443i 0.0538169 0.343901i
\(959\) 15.7377i 0.508197i
\(960\) 38.7690 + 12.7707i 1.25127 + 0.412172i
\(961\) 27.4875i 0.886693i
\(962\) 32.6379 + 5.10748i 1.05229 + 0.164672i
\(963\) −38.5750 18.2842i −1.24306 0.589201i
\(964\) −10.9942 + 0.906184i −0.354099 + 0.0291862i
\(965\) −2.34016 + 7.71448i −0.0753325 + 0.248338i
\(966\) 0.169884 + 0.181459i 0.00546594 + 0.00583834i
\(967\) 14.1254 2.80971i 0.454242 0.0903543i 0.0373335 0.999303i \(-0.488114\pi\)
0.416908 + 0.908949i \(0.363114\pi\)
\(968\) 26.3860 14.9697i 0.848078 0.481146i
\(969\) −1.47014 60.9283i −0.0472278 1.95730i
\(970\) 64.1926 + 30.9891i 2.06110 + 0.995001i
\(971\) −46.0208 + 4.53266i −1.47688 + 0.145460i −0.804149 0.594428i \(-0.797379\pi\)
−0.672730 + 0.739888i \(0.734879\pi\)
\(972\) 14.5174 27.5907i 0.465645 0.884972i
\(973\) −2.12075 6.99117i −0.0679880 0.224127i
\(974\) 43.3177 1.78219i 1.38799 0.0571049i
\(975\) −13.1419 18.6768i −0.420879 0.598135i
\(976\) 3.08212 + 46.4183i 0.0986562 + 1.48581i
\(977\) −8.43641 + 20.3673i −0.269905 + 0.651608i −0.999478 0.0322946i \(-0.989719\pi\)
0.729574 + 0.683902i \(0.239719\pi\)
\(978\) −4.62953 + 35.1088i −0.148036 + 1.12266i
\(979\) 3.05797 5.72106i 0.0977332 0.182846i
\(980\) −8.04306 + 37.3170i −0.256926 + 1.19205i
\(981\) 17.1060 + 4.30008i 0.546153 + 0.137291i
\(982\) −39.7496 2.27041i −1.26846 0.0724516i
\(983\) 31.1095 20.7867i 0.992239 0.662993i 0.0502852 0.998735i \(-0.483987\pi\)
0.941954 + 0.335742i \(0.108987\pi\)
\(984\) −1.60179 6.38877i −0.0510633 0.203667i
\(985\) 7.79261 11.6625i 0.248293 0.371597i
\(986\) 60.6378 8.50152i 1.93110 0.270744i
\(987\) 2.26869 1.95533i 0.0722132 0.0622387i
\(988\) 21.0959 37.9983i 0.671149 1.20889i
\(989\) 0.670503 + 0.0660388i 0.0213208 + 0.00209991i
\(990\) 4.10830 + 5.09686i 0.130570 + 0.161989i
\(991\) 23.4405 23.4405i 0.744613 0.744613i −0.228849 0.973462i \(-0.573496\pi\)
0.973462 + 0.228849i \(0.0734961\pi\)
\(992\) −7.42705 + 7.56568i −0.235809 + 0.240210i
\(993\) 19.3088 30.4637i 0.612748 0.966737i
\(994\) −2.14475 1.30885i −0.0680273 0.0415143i
\(995\) 40.5178 + 3.99065i 1.28450 + 0.126512i
\(996\) 0.930382 0.0993327i 0.0294803 0.00314748i
\(997\) 6.39729 + 11.9685i 0.202604 + 0.379046i 0.962619 0.270860i \(-0.0873082\pi\)
−0.760014 + 0.649906i \(0.774808\pi\)
\(998\) −1.05470 + 1.39867i −0.0333861 + 0.0442742i
\(999\) 2.44818 + 33.7681i 0.0774569 + 1.06837i
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 384.2.w.a.323.18 yes 992
3.2 odd 2 inner 384.2.w.a.323.45 yes 992
128.107 odd 32 inner 384.2.w.a.107.45 yes 992
384.107 even 32 inner 384.2.w.a.107.18 992
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
384.2.w.a.107.18 992 384.107 even 32 inner
384.2.w.a.107.45 yes 992 128.107 odd 32 inner
384.2.w.a.323.18 yes 992 1.1 even 1 trivial
384.2.w.a.323.45 yes 992 3.2 odd 2 inner