Properties

Label 230.2.l.a.103.6
Level $230$
Weight $2$
Character 230.103
Analytic conductor $1.837$
Analytic rank $0$
Dimension $240$
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] = [230,2,Mod(7,230)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(230, base_ring=CyclotomicField(44))
 
chi = DirichletCharacter(H, H._module([11, 38]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("230.7");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 230 = 2 \cdot 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 230.l (of order \(44\), degree \(20\), 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: \(1.83655924649\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(12\) over \(\Q(\zeta_{44})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{44}]$

Embedding invariants

Embedding label 103.6
Character \(\chi\) \(=\) 230.103
Dual form 230.2.l.a.67.6

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.212565 + 0.977147i) q^{2} +(2.30436 - 1.72503i) q^{3} +(-0.909632 - 0.415415i) q^{4} +(0.975205 + 2.01221i) q^{5} +(1.19578 + 2.61838i) q^{6} +(-0.218590 + 3.05628i) q^{7} +(0.599278 - 0.800541i) q^{8} +(1.48918 - 5.07170i) q^{9} +O(q^{10})\) \(q+(-0.212565 + 0.977147i) q^{2} +(2.30436 - 1.72503i) q^{3} +(-0.909632 - 0.415415i) q^{4} +(0.975205 + 2.01221i) q^{5} +(1.19578 + 2.61838i) q^{6} +(-0.218590 + 3.05628i) q^{7} +(0.599278 - 0.800541i) q^{8} +(1.48918 - 5.07170i) q^{9} +(-2.17352 + 0.525193i) q^{10} +(-0.582269 + 0.906028i) q^{11} +(-2.81273 + 0.611871i) q^{12} +(-1.36590 + 0.0976911i) q^{13} +(-2.93997 - 0.863254i) q^{14} +(5.71834 + 2.95460i) q^{15} +(0.654861 + 0.755750i) q^{16} +(2.17259 - 5.82495i) q^{17} +(4.63924 + 2.53322i) q^{18} +(2.12916 - 4.66221i) q^{19} +(-0.0511768 - 2.23548i) q^{20} +(4.76846 + 7.41986i) q^{21} +(-0.761553 - 0.761553i) q^{22} +(-3.89084 - 2.80382i) q^{23} -2.87851i q^{24} +(-3.09795 + 3.92463i) q^{25} +(0.194884 - 1.35545i) q^{26} +(-2.29938 - 6.16487i) q^{27} +(1.46846 - 2.68929i) q^{28} +(-6.11633 + 2.79324i) q^{29} +(-4.10260 + 4.95961i) q^{30} +(-0.518143 - 3.60377i) q^{31} +(-0.877679 + 0.479249i) q^{32} +(0.221162 + 3.09225i) q^{33} +(5.23001 + 3.36112i) q^{34} +(-6.36304 + 2.54065i) q^{35} +(-3.46147 + 3.99475i) q^{36} +(4.08713 + 7.48501i) q^{37} +(4.10308 + 3.07153i) q^{38} +(-2.97901 + 2.58133i) q^{39} +(2.19527 + 0.425179i) q^{40} +(-10.3436 + 3.03716i) q^{41} +(-8.26390 + 3.08228i) q^{42} +(-1.88948 - 2.52405i) q^{43} +(0.906028 - 0.582269i) q^{44} +(11.6576 - 1.94940i) q^{45} +(3.56680 - 3.20593i) q^{46} +(1.06238 - 1.06238i) q^{47} +(2.81273 + 0.611871i) q^{48} +(-2.36433 - 0.339940i) q^{49} +(-3.17642 - 3.86139i) q^{50} +(-5.04174 - 17.1706i) q^{51} +(1.28305 + 0.478552i) q^{52} +(4.45094 + 0.318337i) q^{53} +(6.51275 - 0.936392i) q^{54} +(-2.39095 - 0.288082i) q^{55} +(2.31568 + 2.00655i) q^{56} +(-3.13607 - 14.4163i) q^{57} +(-1.42928 - 6.57030i) q^{58} +(-4.89085 - 4.23795i) q^{59} +(-3.97419 - 5.06308i) q^{60} +(-7.99883 + 1.15006i) q^{61} +(3.63155 + 0.259734i) q^{62} +(15.1750 + 5.65999i) q^{63} +(-0.281733 - 0.959493i) q^{64} +(-1.52861 - 2.65320i) q^{65} +(-3.06859 - 0.441197i) q^{66} +(13.3022 + 2.89371i) q^{67} +(-4.39603 + 4.39603i) q^{68} +(-13.8026 + 0.250782i) q^{69} +(-1.13003 - 6.75768i) q^{70} +(2.34878 - 1.50947i) q^{71} +(-3.16767 - 4.23151i) q^{72} +(12.8449 - 4.79092i) q^{73} +(-8.18274 + 2.40267i) q^{74} +(-0.368724 + 14.3878i) q^{75} +(-3.87351 + 3.35641i) q^{76} +(-2.64180 - 1.97763i) q^{77} +(-1.88910 - 3.45963i) q^{78} +(-0.149343 + 0.172351i) q^{79} +(-0.882101 + 2.05473i) q^{80} +(-2.59304 - 1.66645i) q^{81} +(-0.769059 - 10.7528i) q^{82} +(-6.43033 + 3.51122i) q^{83} +(-1.25522 - 8.73023i) q^{84} +(13.8397 - 1.30881i) q^{85} +(2.86801 - 1.30978i) q^{86} +(-9.27586 + 16.9875i) q^{87} +(0.376372 + 1.00909i) q^{88} +(-1.55864 + 10.8406i) q^{89} +(-0.573146 + 11.8055i) q^{90} -4.19593i q^{91} +(2.37448 + 4.16675i) q^{92} +(-7.41058 - 7.41058i) q^{93} +(0.812278 + 1.26393i) q^{94} +(11.4577 - 0.262301i) q^{95} +(-1.19578 + 2.61838i) q^{96} +(-5.50953 - 3.00843i) q^{97} +(0.834746 - 2.23804i) q^{98} +(3.72800 + 4.30234i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240 q - 8 q^{3} - 8 q^{6}+O(q^{10}) \) Copy content Toggle raw display \( 240 q - 8 q^{3} - 8 q^{6} - 8 q^{12} + 16 q^{13} + 24 q^{16} - 72 q^{18} - 80 q^{23} - 8 q^{26} + 16 q^{27} - 44 q^{28} + 24 q^{31} - 44 q^{33} - 8 q^{35} - 32 q^{36} - 88 q^{37} - 24 q^{41} - 8 q^{46} - 80 q^{47} + 8 q^{48} + 8 q^{50} + 16 q^{52} - 44 q^{56} - 88 q^{57} - 176 q^{61} - 32 q^{62} - 176 q^{66} + 24 q^{70} - 336 q^{71} + 16 q^{72} - 88 q^{73} - 36 q^{75} - 24 q^{77} + 40 q^{78} - 136 q^{81} + 40 q^{82} - 100 q^{85} - 44 q^{86} + 40 q^{87} + 8 q^{92} + 56 q^{93} + 52 q^{95} + 8 q^{96} + 132 q^{97} + 24 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/230\mathbb{Z}\right)^\times\).

\(n\) \(47\) \(51\)
\(\chi(n)\) \(e\left(\frac{3}{4}\right)\) \(e\left(\frac{9}{22}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.212565 + 0.977147i −0.150306 + 0.690947i
\(3\) 2.30436 1.72503i 1.33043 0.995944i 0.331810 0.943346i \(-0.392341\pi\)
0.998616 0.0525977i \(-0.0167501\pi\)
\(4\) −0.909632 0.415415i −0.454816 0.207708i
\(5\) 0.975205 + 2.01221i 0.436125 + 0.899886i
\(6\) 1.19578 + 2.61838i 0.488173 + 1.06895i
\(7\) −0.218590 + 3.05628i −0.0826191 + 1.15517i 0.771899 + 0.635745i \(0.219307\pi\)
−0.854518 + 0.519421i \(0.826148\pi\)
\(8\) 0.599278 0.800541i 0.211877 0.283034i
\(9\) 1.48918 5.07170i 0.496395 1.69057i
\(10\) −2.17352 + 0.525193i −0.687326 + 0.166081i
\(11\) −0.582269 + 0.906028i −0.175561 + 0.273178i −0.917871 0.396878i \(-0.870094\pi\)
0.742311 + 0.670056i \(0.233730\pi\)
\(12\) −2.81273 + 0.611871i −0.811964 + 0.176632i
\(13\) −1.36590 + 0.0976911i −0.378833 + 0.0270946i −0.259457 0.965755i \(-0.583544\pi\)
−0.119375 + 0.992849i \(0.538089\pi\)
\(14\) −2.93997 0.863254i −0.785741 0.230714i
\(15\) 5.71834 + 2.95460i 1.47647 + 0.762875i
\(16\) 0.654861 + 0.755750i 0.163715 + 0.188937i
\(17\) 2.17259 5.82495i 0.526931 1.41276i −0.352086 0.935968i \(-0.614528\pi\)
0.879017 0.476790i \(-0.158200\pi\)
\(18\) 4.63924 + 2.53322i 1.09348 + 0.597085i
\(19\) 2.12916 4.66221i 0.488463 1.06958i −0.491586 0.870829i \(-0.663583\pi\)
0.980049 0.198756i \(-0.0636900\pi\)
\(20\) −0.0511768 2.23548i −0.0114435 0.499869i
\(21\) 4.76846 + 7.41986i 1.04056 + 1.61915i
\(22\) −0.761553 0.761553i −0.162364 0.162364i
\(23\) −3.89084 2.80382i −0.811296 0.584636i
\(24\) 2.87851i 0.587573i
\(25\) −3.09795 + 3.92463i −0.619590 + 0.784926i
\(26\) 0.194884 1.35545i 0.0382200 0.265826i
\(27\) −2.29938 6.16487i −0.442515 1.18643i
\(28\) 1.46846 2.68929i 0.277513 0.508227i
\(29\) −6.11633 + 2.79324i −1.13577 + 0.518691i −0.892402 0.451242i \(-0.850981\pi\)
−0.243373 + 0.969933i \(0.578254\pi\)
\(30\) −4.10260 + 4.95961i −0.749029 + 0.905496i
\(31\) −0.518143 3.60377i −0.0930613 0.647256i −0.981951 0.189135i \(-0.939432\pi\)
0.888890 0.458121i \(-0.151477\pi\)
\(32\) −0.877679 + 0.479249i −0.155153 + 0.0847201i
\(33\) 0.221162 + 3.09225i 0.0384994 + 0.538291i
\(34\) 5.23001 + 3.36112i 0.896939 + 0.576428i
\(35\) −6.36304 + 2.54065i −1.07555 + 0.429449i
\(36\) −3.46147 + 3.99475i −0.576911 + 0.665791i
\(37\) 4.08713 + 7.48501i 0.671919 + 1.23053i 0.961875 + 0.273488i \(0.0881775\pi\)
−0.289956 + 0.957040i \(0.593641\pi\)
\(38\) 4.10308 + 3.07153i 0.665607 + 0.498267i
\(39\) −2.97901 + 2.58133i −0.477024 + 0.413343i
\(40\) 2.19527 + 0.425179i 0.347103 + 0.0672267i
\(41\) −10.3436 + 3.03716i −1.61540 + 0.474325i −0.959778 0.280760i \(-0.909413\pi\)
−0.655626 + 0.755086i \(0.727595\pi\)
\(42\) −8.26390 + 3.08228i −1.27515 + 0.475606i
\(43\) −1.88948 2.52405i −0.288144 0.384915i 0.632991 0.774159i \(-0.281827\pi\)
−0.921134 + 0.389245i \(0.872736\pi\)
\(44\) 0.906028 0.582269i 0.136589 0.0877804i
\(45\) 11.6576 1.94940i 1.73781 0.290599i
\(46\) 3.56680 3.20593i 0.525895 0.472688i
\(47\) 1.06238 1.06238i 0.154964 0.154964i −0.625367 0.780331i \(-0.715051\pi\)
0.780331 + 0.625367i \(0.215051\pi\)
\(48\) 2.81273 + 0.611871i 0.405982 + 0.0883160i
\(49\) −2.36433 0.339940i −0.337762 0.0485628i
\(50\) −3.17642 3.86139i −0.449214 0.546083i
\(51\) −5.04174 17.1706i −0.705984 2.40436i
\(52\) 1.28305 + 0.478552i 0.177927 + 0.0663633i
\(53\) 4.45094 + 0.318337i 0.611383 + 0.0437270i 0.373598 0.927591i \(-0.378124\pi\)
0.237785 + 0.971318i \(0.423579\pi\)
\(54\) 6.51275 0.936392i 0.886273 0.127427i
\(55\) −2.39095 0.288082i −0.322395 0.0388450i
\(56\) 2.31568 + 2.00655i 0.309446 + 0.268137i
\(57\) −3.13607 14.4163i −0.415383 1.90948i
\(58\) −1.42928 6.57030i −0.187674 0.862723i
\(59\) −4.89085 4.23795i −0.636735 0.551734i 0.275552 0.961286i \(-0.411139\pi\)
−0.912287 + 0.409552i \(0.865685\pi\)
\(60\) −3.97419 5.06308i −0.513066 0.653641i
\(61\) −7.99883 + 1.15006i −1.02414 + 0.147250i −0.633863 0.773446i \(-0.718532\pi\)
−0.390282 + 0.920695i \(0.627623\pi\)
\(62\) 3.63155 + 0.259734i 0.461207 + 0.0329862i
\(63\) 15.1750 + 5.65999i 1.91187 + 0.713092i
\(64\) −0.281733 0.959493i −0.0352166 0.119937i
\(65\) −1.52861 2.65320i −0.189600 0.329090i
\(66\) −3.06859 0.441197i −0.377718 0.0543076i
\(67\) 13.3022 + 2.89371i 1.62512 + 0.353523i 0.930624 0.365977i \(-0.119265\pi\)
0.694493 + 0.719500i \(0.255629\pi\)
\(68\) −4.39603 + 4.39603i −0.533097 + 0.533097i
\(69\) −13.8026 + 0.250782i −1.66163 + 0.0301906i
\(70\) −1.13003 6.75768i −0.135064 0.807697i
\(71\) 2.34878 1.50947i 0.278749 0.179141i −0.393795 0.919198i \(-0.628838\pi\)
0.672544 + 0.740057i \(0.265202\pi\)
\(72\) −3.16767 4.23151i −0.373313 0.498688i
\(73\) 12.8449 4.79092i 1.50339 0.560735i 0.543081 0.839681i \(-0.317258\pi\)
0.960307 + 0.278946i \(0.0899851\pi\)
\(74\) −8.18274 + 2.40267i −0.951224 + 0.279304i
\(75\) −0.368724 + 14.3878i −0.0425766 + 1.66136i
\(76\) −3.87351 + 3.35641i −0.444322 + 0.385007i
\(77\) −2.64180 1.97763i −0.301061 0.225372i
\(78\) −1.88910 3.45963i −0.213899 0.391726i
\(79\) −0.149343 + 0.172351i −0.0168024 + 0.0193910i −0.764089 0.645111i \(-0.776811\pi\)
0.747286 + 0.664502i \(0.231356\pi\)
\(80\) −0.882101 + 2.05473i −0.0986219 + 0.229725i
\(81\) −2.59304 1.66645i −0.288116 0.185161i
\(82\) −0.769059 10.7528i −0.0849283 1.18745i
\(83\) −6.43033 + 3.51122i −0.705820 + 0.385407i −0.791710 0.610898i \(-0.790809\pi\)
0.0858893 + 0.996305i \(0.472627\pi\)
\(84\) −1.25522 8.73023i −0.136955 0.952546i
\(85\) 13.8397 1.30881i 1.50113 0.141961i
\(86\) 2.86801 1.30978i 0.309265 0.141237i
\(87\) −9.27586 + 16.9875i −0.994476 + 1.82125i
\(88\) 0.376372 + 1.00909i 0.0401214 + 0.107570i
\(89\) −1.55864 + 10.8406i −0.165216 + 1.14910i 0.723393 + 0.690437i \(0.242582\pi\)
−0.888609 + 0.458666i \(0.848328\pi\)
\(90\) −0.573146 + 11.8055i −0.0604149 + 1.24441i
\(91\) 4.19593i 0.439853i
\(92\) 2.37448 + 4.16675i 0.247557 + 0.434414i
\(93\) −7.41058 7.41058i −0.768442 0.768442i
\(94\) 0.812278 + 1.26393i 0.0837801 + 0.130364i
\(95\) 11.4577 0.262301i 1.17554 0.0269115i
\(96\) −1.19578 + 2.61838i −0.122043 + 0.267238i
\(97\) −5.50953 3.00843i −0.559408 0.305460i 0.174557 0.984647i \(-0.444151\pi\)
−0.733965 + 0.679187i \(0.762332\pi\)
\(98\) 0.834746 2.23804i 0.0843221 0.226076i
\(99\) 3.72800 + 4.30234i 0.374678 + 0.432401i
\(100\) 4.44834 2.28303i 0.444834 0.228303i
\(101\) −15.2871 4.48870i −1.52112 0.446643i −0.588804 0.808276i \(-0.700401\pi\)
−0.932321 + 0.361633i \(0.882219\pi\)
\(102\) 17.8499 1.27665i 1.76740 0.126407i
\(103\) 3.46771 0.754353i 0.341683 0.0743286i −0.0384496 0.999261i \(-0.512242\pi\)
0.380133 + 0.924932i \(0.375878\pi\)
\(104\) −0.740348 + 1.15200i −0.0725971 + 0.112963i
\(105\) −10.2801 + 16.8310i −1.00323 + 1.64254i
\(106\) −1.25718 + 4.28155i −0.122108 + 0.415861i
\(107\) 11.2174 14.9847i 1.08443 1.44863i 0.201285 0.979533i \(-0.435488\pi\)
0.883146 0.469098i \(-0.155421\pi\)
\(108\) −0.469392 + 6.56296i −0.0451673 + 0.631521i
\(109\) −0.832474 1.82286i −0.0797366 0.174599i 0.865565 0.500797i \(-0.166960\pi\)
−0.945301 + 0.326198i \(0.894232\pi\)
\(110\) 0.789731 2.27507i 0.0752979 0.216920i
\(111\) 22.3301 + 10.1978i 2.11948 + 0.967932i
\(112\) −2.45293 + 1.83624i −0.231780 + 0.173508i
\(113\) −3.05719 + 14.0537i −0.287596 + 1.32206i 0.575825 + 0.817573i \(0.304681\pi\)
−0.863421 + 0.504484i \(0.831683\pi\)
\(114\) 14.7535 1.38179
\(115\) 1.84749 10.5635i 0.172279 0.985048i
\(116\) 6.72396 0.624304
\(117\) −1.53862 + 7.07291i −0.142245 + 0.653891i
\(118\) 5.18072 3.87824i 0.476924 0.357021i
\(119\) 17.3278 + 7.91333i 1.58843 + 0.725414i
\(120\) 5.79215 2.80714i 0.528749 0.256255i
\(121\) 4.08771 + 8.95085i 0.371610 + 0.813713i
\(122\) 0.576498 8.06049i 0.0521936 0.729763i
\(123\) −18.5963 + 24.8418i −1.67677 + 2.23991i
\(124\) −1.02574 + 3.49335i −0.0921141 + 0.313712i
\(125\) −10.9183 2.40640i −0.976562 0.215235i
\(126\) −8.75632 + 13.6251i −0.780075 + 1.21382i
\(127\) −7.32749 + 1.59400i −0.650210 + 0.141444i −0.525560 0.850756i \(-0.676144\pi\)
−0.124649 + 0.992201i \(0.539781\pi\)
\(128\) 0.997452 0.0713392i 0.0881631 0.00630555i
\(129\) −8.70812 2.55693i −0.766707 0.225125i
\(130\) 2.91750 0.929695i 0.255882 0.0815396i
\(131\) 7.13870 + 8.23850i 0.623711 + 0.719801i 0.976407 0.215937i \(-0.0692806\pi\)
−0.352696 + 0.935738i \(0.614735\pi\)
\(132\) 1.08339 2.90468i 0.0942970 0.252820i
\(133\) 13.7836 + 7.52643i 1.19519 + 0.652624i
\(134\) −5.65515 + 12.3831i −0.488531 + 1.06973i
\(135\) 10.1626 10.6388i 0.874659 0.915645i
\(136\) −3.36112 5.23001i −0.288214 0.448470i
\(137\) 6.04503 + 6.04503i 0.516462 + 0.516462i 0.916499 0.400037i \(-0.131003\pi\)
−0.400037 + 0.916499i \(0.631003\pi\)
\(138\) 2.68889 13.5404i 0.228894 1.15264i
\(139\) 5.24409i 0.444798i 0.974956 + 0.222399i \(0.0713887\pi\)
−0.974956 + 0.222399i \(0.928611\pi\)
\(140\) 6.84345 + 0.332243i 0.578377 + 0.0280796i
\(141\) 0.615479 4.28075i 0.0518327 0.360504i
\(142\) 0.975705 + 2.61597i 0.0818794 + 0.219527i
\(143\) 0.706811 1.29443i 0.0591065 0.108245i
\(144\) 4.80814 2.19580i 0.400678 0.182984i
\(145\) −11.5852 9.58335i −0.962102 0.795854i
\(146\) 1.95104 + 13.5698i 0.161469 + 1.12304i
\(147\) −6.03469 + 3.29519i −0.497733 + 0.271783i
\(148\) −0.608394 8.50646i −0.0500097 0.699227i
\(149\) −3.20237 2.05804i −0.262348 0.168601i 0.402854 0.915264i \(-0.368018\pi\)
−0.665202 + 0.746663i \(0.731655\pi\)
\(150\) −13.9806 3.41865i −1.14151 0.279131i
\(151\) 10.1970 11.7680i 0.829824 0.957668i −0.169789 0.985480i \(-0.554309\pi\)
0.999613 + 0.0278127i \(0.00885420\pi\)
\(152\) −2.45633 4.49844i −0.199235 0.364872i
\(153\) −26.3070 19.6932i −2.12679 1.59210i
\(154\) 2.49399 2.16105i 0.200971 0.174143i
\(155\) 6.74623 4.55702i 0.541870 0.366029i
\(156\) 3.78213 1.11053i 0.302813 0.0889138i
\(157\) 10.5917 3.95050i 0.845310 0.315284i 0.110767 0.993846i \(-0.464669\pi\)
0.734543 + 0.678562i \(0.237397\pi\)
\(158\) −0.136667 0.182566i −0.0108726 0.0145242i
\(159\) 10.8057 6.94442i 0.856949 0.550728i
\(160\) −1.82026 1.29871i −0.143905 0.102672i
\(161\) 9.41975 11.2786i 0.742380 0.888879i
\(162\) 2.17955 2.17955i 0.171242 0.171242i
\(163\) 7.39420 + 1.60851i 0.579158 + 0.125988i 0.492596 0.870258i \(-0.336048\pi\)
0.0865624 + 0.996246i \(0.472412\pi\)
\(164\) 10.6706 + 1.53420i 0.833232 + 0.119801i
\(165\) −6.00657 + 3.46060i −0.467610 + 0.269407i
\(166\) −2.06412 7.02974i −0.160207 0.545614i
\(167\) −0.947008 0.353216i −0.0732817 0.0273327i 0.312556 0.949899i \(-0.398815\pi\)
−0.385838 + 0.922567i \(0.626088\pi\)
\(168\) 8.79753 + 0.629212i 0.678745 + 0.0485448i
\(169\) −11.0115 + 1.58322i −0.847041 + 0.121786i
\(170\) −1.66294 + 13.8016i −0.127542 + 1.05854i
\(171\) −20.4746 17.7414i −1.56573 1.35671i
\(172\) 0.670204 + 3.08088i 0.0511026 + 0.234915i
\(173\) −2.55195 11.7311i −0.194021 0.891900i −0.966461 0.256812i \(-0.917328\pi\)
0.772440 0.635087i \(-0.219036\pi\)
\(174\) −14.6275 12.6748i −1.10891 0.960876i
\(175\) −11.3176 10.3261i −0.855529 0.780579i
\(176\) −1.06604 + 0.153273i −0.0803555 + 0.0115534i
\(177\) −18.5809 1.32893i −1.39662 0.0998886i
\(178\) −10.2616 3.82736i −0.769136 0.286873i
\(179\) −3.36380 11.4560i −0.251422 0.856265i −0.984390 0.176001i \(-0.943684\pi\)
0.732968 0.680263i \(-0.238135\pi\)
\(180\) −11.4139 3.06949i −0.850742 0.228786i
\(181\) 18.7808 + 2.70027i 1.39596 + 0.200709i 0.798890 0.601477i \(-0.205421\pi\)
0.597074 + 0.802186i \(0.296330\pi\)
\(182\) 4.10004 + 0.891909i 0.303915 + 0.0661127i
\(183\) −16.4483 + 16.4483i −1.21590 + 1.21590i
\(184\) −4.57626 + 1.43451i −0.337367 + 0.105754i
\(185\) −11.0756 + 15.5236i −0.814295 + 1.14131i
\(186\) 8.81646 5.66599i 0.646454 0.415451i
\(187\) 4.01253 + 5.36012i 0.293426 + 0.391971i
\(188\) −1.40771 + 0.525047i −0.102668 + 0.0382930i
\(189\) 19.3442 5.67997i 1.40708 0.413157i
\(190\) −2.17920 + 11.2516i −0.158096 + 0.816278i
\(191\) 5.44055 4.71426i 0.393664 0.341112i −0.435428 0.900223i \(-0.643403\pi\)
0.829093 + 0.559111i \(0.188858\pi\)
\(192\) −2.30436 1.72503i −0.166303 0.124493i
\(193\) 1.65748 + 3.03545i 0.119308 + 0.218497i 0.930507 0.366273i \(-0.119367\pi\)
−0.811199 + 0.584770i \(0.801185\pi\)
\(194\) 4.11081 4.74413i 0.295139 0.340609i
\(195\) −8.09931 3.47706i −0.580004 0.248998i
\(196\) 2.00946 + 1.29140i 0.143533 + 0.0922428i
\(197\) 1.78697 + 24.9850i 0.127316 + 1.78011i 0.513894 + 0.857854i \(0.328202\pi\)
−0.386578 + 0.922257i \(0.626343\pi\)
\(198\) −4.99646 + 2.72827i −0.355083 + 0.193890i
\(199\) 2.66992 + 18.5697i 0.189266 + 1.31637i 0.833915 + 0.551892i \(0.186094\pi\)
−0.644650 + 0.764478i \(0.722997\pi\)
\(200\) 1.28529 + 4.83198i 0.0908840 + 0.341673i
\(201\) 35.6447 16.2784i 2.51419 1.14819i
\(202\) 7.63563 13.9836i 0.537241 0.983884i
\(203\) −7.19995 19.3038i −0.505337 1.35486i
\(204\) −2.54679 + 17.7133i −0.178311 + 1.24018i
\(205\) −16.1986 17.8517i −1.13136 1.24681i
\(206\) 3.54881i 0.247257i
\(207\) −20.0143 + 15.5578i −1.39109 + 1.08134i
\(208\) −0.968304 0.968304i −0.0671398 0.0671398i
\(209\) 2.98435 + 4.64374i 0.206432 + 0.321214i
\(210\) −14.2612 13.6228i −0.984115 0.940065i
\(211\) −6.07886 + 13.3108i −0.418486 + 0.916356i 0.576571 + 0.817047i \(0.304391\pi\)
−0.995057 + 0.0993091i \(0.968337\pi\)
\(212\) −3.91647 2.13856i −0.268984 0.146877i
\(213\) 2.80858 7.53008i 0.192440 0.515953i
\(214\) 12.2579 + 14.1463i 0.837930 + 0.967023i
\(215\) 3.23628 6.26350i 0.220713 0.427167i
\(216\) −6.31320 1.85372i −0.429559 0.126130i
\(217\) 11.1274 0.795847i 0.755377 0.0540256i
\(218\) 1.95816 0.425972i 0.132623 0.0288505i
\(219\) 21.3350 33.1979i 1.44168 2.24331i
\(220\) 2.05521 + 1.25528i 0.138562 + 0.0846313i
\(221\) −2.39850 + 8.16854i −0.161341 + 0.549475i
\(222\) −14.7113 + 19.6521i −0.987361 + 1.31896i
\(223\) 0.556927 7.78686i 0.0372946 0.521447i −0.944127 0.329582i \(-0.893092\pi\)
0.981421 0.191864i \(-0.0614534\pi\)
\(224\) −1.27287 2.78719i −0.0850471 0.186227i
\(225\) 15.2911 + 21.5564i 1.01941 + 1.43709i
\(226\) −13.0826 5.97464i −0.870244 0.397427i
\(227\) −2.38636 + 1.78641i −0.158388 + 0.118568i −0.675532 0.737330i \(-0.736086\pi\)
0.517144 + 0.855898i \(0.326995\pi\)
\(228\) −3.13607 + 14.4163i −0.207691 + 0.954742i
\(229\) 8.72074 0.576283 0.288141 0.957588i \(-0.406963\pi\)
0.288141 + 0.957588i \(0.406963\pi\)
\(230\) 9.92934 + 4.05070i 0.654722 + 0.267095i
\(231\) −9.49913 −0.624997
\(232\) −1.42928 + 6.57030i −0.0938369 + 0.431361i
\(233\) 2.15447 1.61281i 0.141144 0.105659i −0.526373 0.850254i \(-0.676448\pi\)
0.667516 + 0.744595i \(0.267357\pi\)
\(234\) −6.58422 3.00691i −0.430424 0.196568i
\(235\) 3.17377 + 1.10169i 0.207034 + 0.0718665i
\(236\) 2.68837 + 5.88671i 0.174998 + 0.383192i
\(237\) −0.0468308 + 0.654780i −0.00304199 + 0.0425325i
\(238\) −11.4158 + 15.2497i −0.739975 + 0.988490i
\(239\) 5.27623 17.9692i 0.341291 1.16233i −0.592817 0.805337i \(-0.701984\pi\)
0.934107 0.356992i \(-0.116198\pi\)
\(240\) 1.51177 + 6.25648i 0.0975845 + 0.403854i
\(241\) −2.91764 + 4.53993i −0.187941 + 0.292443i −0.922419 0.386190i \(-0.873791\pi\)
0.734478 + 0.678633i \(0.237427\pi\)
\(242\) −9.61520 + 2.09166i −0.618088 + 0.134457i
\(243\) 10.8389 0.775213i 0.695316 0.0497300i
\(244\) 7.75374 + 2.27670i 0.496382 + 0.145751i
\(245\) −1.62168 5.08904i −0.103605 0.325127i
\(246\) −20.3211 23.4518i −1.29563 1.49523i
\(247\) −2.45276 + 6.57612i −0.156066 + 0.418428i
\(248\) −3.19548 1.74486i −0.202913 0.110799i
\(249\) −8.76087 + 19.1836i −0.555197 + 1.21571i
\(250\) 4.67226 10.1573i 0.295500 0.642402i
\(251\) −6.45704 10.0473i −0.407564 0.634183i 0.575423 0.817856i \(-0.304838\pi\)
−0.982987 + 0.183673i \(0.941201\pi\)
\(252\) −11.4524 11.4524i −0.721436 0.721436i
\(253\) 4.80585 1.89263i 0.302141 0.118989i
\(254\) 7.49886i 0.470521i
\(255\) 29.6340 26.8899i 1.85575 1.68391i
\(256\) −0.142315 + 0.989821i −0.00889468 + 0.0618638i
\(257\) −5.43620 14.5750i −0.339101 0.909164i −0.988837 0.149004i \(-0.952393\pi\)
0.649736 0.760160i \(-0.274879\pi\)
\(258\) 4.34954 7.96559i 0.270791 0.495916i
\(259\) −23.7697 + 10.8553i −1.47698 + 0.674513i
\(260\) 0.288289 + 3.04845i 0.0178789 + 0.189057i
\(261\) 5.05810 + 35.1798i 0.313088 + 2.17758i
\(262\) −9.56766 + 5.22434i −0.591092 + 0.322761i
\(263\) 0.848075 + 11.8576i 0.0522945 + 0.731173i 0.954187 + 0.299212i \(0.0967237\pi\)
−0.901892 + 0.431961i \(0.857822\pi\)
\(264\) 2.60801 + 1.67607i 0.160512 + 0.103155i
\(265\) 3.70002 + 9.26665i 0.227290 + 0.569246i
\(266\) −10.2843 + 11.8688i −0.630574 + 0.727721i
\(267\) 15.1086 + 27.6694i 0.924634 + 1.69334i
\(268\) −10.8980 8.15812i −0.665700 0.498337i
\(269\) 1.04648 0.906781i 0.0638051 0.0552874i −0.622374 0.782720i \(-0.713832\pi\)
0.686180 + 0.727432i \(0.259286\pi\)
\(270\) 8.23548 + 12.1918i 0.501195 + 0.741971i
\(271\) −14.0821 + 4.13489i −0.855429 + 0.251177i −0.679906 0.733299i \(-0.737980\pi\)
−0.175522 + 0.984475i \(0.556161\pi\)
\(272\) 5.82495 2.17259i 0.353189 0.131733i
\(273\) −7.23809 9.66896i −0.438069 0.585192i
\(274\) −7.19185 + 4.62192i −0.434476 + 0.279221i
\(275\) −1.75198 5.09202i −0.105649 0.307060i
\(276\) 12.6594 + 5.50567i 0.762008 + 0.331403i
\(277\) 7.05036 7.05036i 0.423615 0.423615i −0.462831 0.886446i \(-0.653166\pi\)
0.886446 + 0.462831i \(0.153166\pi\)
\(278\) −5.12424 1.11471i −0.307332 0.0668559i
\(279\) −19.0488 2.73881i −1.14042 0.163968i
\(280\) −1.77933 + 6.61643i −0.106335 + 0.395408i
\(281\) 6.84721 + 23.3195i 0.408471 + 1.39112i 0.865160 + 0.501497i \(0.167217\pi\)
−0.456689 + 0.889626i \(0.650965\pi\)
\(282\) 4.05209 + 1.51135i 0.241299 + 0.0899998i
\(283\) 14.4573 + 1.03401i 0.859399 + 0.0614654i 0.494080 0.869417i \(-0.335505\pi\)
0.365320 + 0.930882i \(0.380960\pi\)
\(284\) −2.76359 + 0.397344i −0.163989 + 0.0235780i
\(285\) 25.9502 20.3693i 1.53716 1.20657i
\(286\) 1.11460 + 0.965808i 0.0659078 + 0.0571094i
\(287\) −7.02142 32.2770i −0.414461 1.90525i
\(288\) 1.12358 + 5.16501i 0.0662076 + 0.304351i
\(289\) −16.3621 14.1778i −0.962477 0.833991i
\(290\) 11.8270 9.28340i 0.694503 0.545140i
\(291\) −17.8856 + 2.57156i −1.04847 + 0.150747i
\(292\) −13.6744 0.978012i −0.800233 0.0572338i
\(293\) −7.67591 2.86297i −0.448431 0.167256i 0.115095 0.993355i \(-0.463283\pi\)
−0.563526 + 0.826098i \(0.690556\pi\)
\(294\) −1.93712 6.59722i −0.112975 0.384758i
\(295\) 3.75804 13.9743i 0.218802 0.813614i
\(296\) 8.44138 + 1.21369i 0.490645 + 0.0705442i
\(297\) 6.92440 + 1.50631i 0.401795 + 0.0874050i
\(298\) 2.69172 2.69172i 0.155927 0.155927i
\(299\) 5.58840 + 3.44963i 0.323186 + 0.199497i
\(300\) 6.31232 12.9344i 0.364442 0.746771i
\(301\) 8.12724 5.22306i 0.468447 0.301052i
\(302\) 9.33154 + 12.4655i 0.536970 + 0.717308i
\(303\) −42.9702 + 16.0271i −2.46857 + 0.920731i
\(304\) 4.91777 1.44399i 0.282053 0.0828183i
\(305\) −10.1146 14.9737i −0.579163 0.857394i
\(306\) 24.8351 21.5197i 1.41973 1.23020i
\(307\) 11.0762 + 8.29152i 0.632151 + 0.473222i 0.866665 0.498890i \(-0.166259\pi\)
−0.234514 + 0.972113i \(0.575350\pi\)
\(308\) 1.58153 + 2.89636i 0.0901161 + 0.165035i
\(309\) 6.68958 7.72019i 0.380557 0.439186i
\(310\) 3.01887 + 7.56072i 0.171460 + 0.429420i
\(311\) −15.3220 9.84685i −0.868830 0.558363i 0.0285643 0.999592i \(-0.490906\pi\)
−0.897395 + 0.441229i \(0.854543\pi\)
\(312\) 0.281205 + 3.93175i 0.0159201 + 0.222592i
\(313\) −15.1993 + 8.29943i −0.859114 + 0.469112i −0.847484 0.530821i \(-0.821884\pi\)
−0.0116296 + 0.999932i \(0.503702\pi\)
\(314\) 1.60879 + 11.1894i 0.0907893 + 0.631454i
\(315\) 3.40969 + 36.0549i 0.192114 + 2.03146i
\(316\) 0.207444 0.0947366i 0.0116697 0.00532935i
\(317\) 15.3875 28.1801i 0.864247 1.58275i 0.0525900 0.998616i \(-0.483252\pi\)
0.811657 0.584134i \(-0.198566\pi\)
\(318\) 4.48879 + 12.0349i 0.251719 + 0.674885i
\(319\) 1.03060 7.16799i 0.0577026 0.401330i
\(320\) 1.65595 1.50261i 0.0925705 0.0839983i
\(321\) 53.8807i 3.00733i
\(322\) 9.01855 + 11.6019i 0.502584 + 0.646550i
\(323\) −22.5313 22.5313i −1.25368 1.25368i
\(324\) 1.66645 + 2.59304i 0.0925803 + 0.144058i
\(325\) 3.84809 5.66329i 0.213454 0.314143i
\(326\) −3.14350 + 6.88330i −0.174102 + 0.381231i
\(327\) −5.06281 2.76450i −0.279974 0.152877i
\(328\) −3.76733 + 10.1006i −0.208016 + 0.557713i
\(329\) 3.01471 + 3.47917i 0.166207 + 0.191813i
\(330\) −2.10473 6.60490i −0.115861 0.363588i
\(331\) −8.18471 2.40325i −0.449872 0.132094i 0.0489451 0.998801i \(-0.484414\pi\)
−0.498818 + 0.866707i \(0.666232\pi\)
\(332\) 7.30785 0.522668i 0.401070 0.0286851i
\(333\) 44.0482 9.58210i 2.41383 0.525096i
\(334\) 0.546445 0.850285i 0.0299001 0.0465255i
\(335\) 7.14959 + 29.5886i 0.390624 + 1.61660i
\(336\) −2.48488 + 8.46273i −0.135561 + 0.461680i
\(337\) −17.7521 + 23.7140i −0.967017 + 1.29178i −0.0105500 + 0.999944i \(0.503358\pi\)
−0.956467 + 0.291840i \(0.905733\pi\)
\(338\) 0.793632 11.0964i 0.0431679 0.603566i
\(339\) 17.1980 + 37.6585i 0.934070 + 2.04533i
\(340\) −13.1328 4.55869i −0.712224 0.247230i
\(341\) 3.56681 + 1.62891i 0.193154 + 0.0882104i
\(342\) 21.6881 16.2355i 1.17276 0.877916i
\(343\) −3.00346 + 13.8067i −0.162172 + 0.745492i
\(344\) −3.15293 −0.169995
\(345\) −13.9650 27.5290i −0.751848 1.48211i
\(346\) 12.0055 0.645418
\(347\) −1.76513 + 8.11418i −0.0947572 + 0.435592i 0.905187 + 0.425014i \(0.139731\pi\)
−0.999944 + 0.0105780i \(0.996633\pi\)
\(348\) 15.4945 11.5990i 0.830590 0.621772i
\(349\) 8.32569 + 3.80221i 0.445664 + 0.203528i 0.625590 0.780152i \(-0.284858\pi\)
−0.179926 + 0.983680i \(0.557586\pi\)
\(350\) 12.4958 8.86398i 0.667931 0.473800i
\(351\) 3.74297 + 8.19597i 0.199785 + 0.437468i
\(352\) 0.0768322 1.07425i 0.00409517 0.0572579i
\(353\) −5.22242 + 6.97633i −0.277961 + 0.371313i −0.917696 0.397283i \(-0.869953\pi\)
0.639735 + 0.768596i \(0.279044\pi\)
\(354\) 5.24821 17.8738i 0.278939 0.949980i
\(355\) 5.32791 + 3.25419i 0.282776 + 0.172715i
\(356\) 5.92115 9.21348i 0.313820 0.488314i
\(357\) 53.5802 11.6557i 2.83577 0.616883i
\(358\) 11.9093 0.851767i 0.629424 0.0450173i
\(359\) 5.27713 + 1.54951i 0.278516 + 0.0817798i 0.418008 0.908444i \(-0.362729\pi\)
−0.139491 + 0.990223i \(0.544547\pi\)
\(360\) 5.42554 10.5006i 0.285951 0.553430i
\(361\) −4.76054 5.49395i −0.250555 0.289155i
\(362\) −6.63070 + 17.7776i −0.348502 + 0.934370i
\(363\) 24.8600 + 13.5746i 1.30481 + 0.712482i
\(364\) −1.74305 + 3.81675i −0.0913608 + 0.200052i
\(365\) 22.1668 + 21.1746i 1.16026 + 1.10833i
\(366\) −12.5761 19.5688i −0.657363 1.02288i
\(367\) −9.54962 9.54962i −0.498486 0.498486i 0.412480 0.910966i \(-0.364663\pi\)
−0.910966 + 0.412480i \(0.864663\pi\)
\(368\) −0.428975 4.77661i −0.0223618 0.248998i
\(369\) 56.9827i 2.96640i
\(370\) −12.8145 14.1223i −0.666195 0.734181i
\(371\) −1.94586 + 13.5337i −0.101024 + 0.702637i
\(372\) 3.66244 + 9.81937i 0.189888 + 0.509111i
\(373\) −13.7148 + 25.1169i −0.710128 + 1.30050i 0.234422 + 0.972135i \(0.424680\pi\)
−0.944550 + 0.328367i \(0.893502\pi\)
\(374\) −6.09055 + 2.78146i −0.314935 + 0.143826i
\(375\) −29.3108 + 13.2891i −1.51361 + 0.686247i
\(376\) −0.213819 1.48714i −0.0110269 0.0766935i
\(377\) 8.08143 4.41279i 0.416215 0.227270i
\(378\) 1.43826 + 20.1095i 0.0739761 + 1.03432i
\(379\) −12.1453 7.80529i −0.623860 0.400931i 0.190172 0.981751i \(-0.439096\pi\)
−0.814032 + 0.580820i \(0.802732\pi\)
\(380\) −10.5313 4.52110i −0.540242 0.231928i
\(381\) −14.1355 + 16.3133i −0.724185 + 0.835754i
\(382\) 3.45005 + 6.31830i 0.176520 + 0.323273i
\(383\) 7.55911 + 5.65868i 0.386253 + 0.289145i 0.774704 0.632324i \(-0.217899\pi\)
−0.388451 + 0.921469i \(0.626990\pi\)
\(384\) 2.17543 1.88502i 0.111015 0.0961946i
\(385\) 1.40310 7.24444i 0.0715085 0.369211i
\(386\) −3.31841 + 0.974372i −0.168902 + 0.0495942i
\(387\) −15.6150 + 5.82410i −0.793756 + 0.296056i
\(388\) 3.76190 + 5.02531i 0.190981 + 0.255121i
\(389\) 8.36594 5.37646i 0.424170 0.272597i −0.311093 0.950379i \(-0.600695\pi\)
0.735263 + 0.677782i \(0.237059\pi\)
\(390\) 5.11923 7.17512i 0.259223 0.363326i
\(391\) −24.7853 + 16.5724i −1.25345 + 0.838101i
\(392\) −1.68903 + 1.68903i −0.0853088 + 0.0853088i
\(393\) 30.6618 + 6.67006i 1.54668 + 0.336460i
\(394\) −24.7939 3.56482i −1.24910 0.179593i
\(395\) −0.492446 0.132431i −0.0247776 0.00666335i
\(396\) −1.60385 5.46221i −0.0805964 0.274486i
\(397\) −1.93599 0.722087i −0.0971645 0.0362405i 0.300412 0.953810i \(-0.402876\pi\)
−0.397576 + 0.917569i \(0.630149\pi\)
\(398\) −18.7128 1.33837i −0.937990 0.0670864i
\(399\) 44.7458 6.43347i 2.24009 0.322076i
\(400\) −4.99476 + 0.228810i −0.249738 + 0.0114405i
\(401\) −12.3005 10.6584i −0.614258 0.532257i 0.291217 0.956657i \(-0.405940\pi\)
−0.905475 + 0.424400i \(0.860485\pi\)
\(402\) 8.32956 + 38.2904i 0.415441 + 1.90975i
\(403\) 1.05979 + 4.87177i 0.0527918 + 0.242680i
\(404\) 12.0410 + 10.4336i 0.599061 + 0.519089i
\(405\) 0.824487 6.84286i 0.0409691 0.340024i
\(406\) 20.3931 2.93209i 1.01209 0.145517i
\(407\) −9.16144 0.655239i −0.454116 0.0324790i
\(408\) −16.7672 6.25383i −0.830098 0.309611i
\(409\) −10.1345 34.5149i −0.501118 1.70665i −0.689263 0.724511i \(-0.742065\pi\)
0.188144 0.982141i \(-0.439753\pi\)
\(410\) 20.8870 12.0337i 1.03153 0.594304i
\(411\) 24.3578 + 3.50212i 1.20148 + 0.172747i
\(412\) −3.46771 0.754353i −0.170842 0.0371643i
\(413\) 14.0215 14.0215i 0.689951 0.689951i
\(414\) −10.9479 22.8639i −0.538058 1.12370i
\(415\) −13.3362 9.51498i −0.654648 0.467072i
\(416\) 1.15200 0.740348i 0.0564816 0.0362985i
\(417\) 9.04619 + 12.0843i 0.442994 + 0.591770i
\(418\) −5.17199 + 1.92905i −0.252970 + 0.0943530i
\(419\) 10.9198 3.20635i 0.533468 0.156640i −0.00389331 0.999992i \(-0.501239\pi\)
0.537361 + 0.843352i \(0.319421\pi\)
\(420\) 16.3429 11.0395i 0.797454 0.538674i
\(421\) −8.49226 + 7.35859i −0.413888 + 0.358636i −0.836775 0.547546i \(-0.815562\pi\)
0.422888 + 0.906182i \(0.361016\pi\)
\(422\) −11.7145 8.76936i −0.570253 0.426886i
\(423\) −3.80600 6.97016i −0.185054 0.338901i
\(424\) 2.92219 3.37239i 0.141914 0.163778i
\(425\) 16.1302 + 26.5720i 0.782428 + 1.28893i
\(426\) 6.76099 + 4.34503i 0.327571 + 0.210517i
\(427\) −1.76644 24.6981i −0.0854840 1.19522i
\(428\) −16.4286 + 8.97071i −0.794108 + 0.433616i
\(429\) −0.604170 4.20210i −0.0291696 0.202879i
\(430\) 5.43244 + 4.49373i 0.261975 + 0.216707i
\(431\) −11.9527 + 5.45860i −0.575740 + 0.262932i −0.681934 0.731414i \(-0.738861\pi\)
0.106194 + 0.994345i \(0.466134\pi\)
\(432\) 3.15332 5.77488i 0.151714 0.277844i
\(433\) −3.69854 9.91616i −0.177740 0.476540i 0.817277 0.576245i \(-0.195483\pi\)
−0.995017 + 0.0997051i \(0.968210\pi\)
\(434\) −1.58764 + 11.0423i −0.0762091 + 0.530046i
\(435\) −43.2282 2.09868i −2.07263 0.100624i
\(436\) 2.00396i 0.0959722i
\(437\) −21.3562 + 12.1701i −1.02161 + 0.582177i
\(438\) 27.9041 + 27.9041i 1.33331 + 1.33331i
\(439\) −9.78974 15.2331i −0.467239 0.727038i 0.525038 0.851079i \(-0.324051\pi\)
−0.992277 + 0.124041i \(0.960415\pi\)
\(440\) −1.66346 + 1.74141i −0.0793025 + 0.0830185i
\(441\) −5.24500 + 11.4849i −0.249762 + 0.546902i
\(442\) −7.47203 4.08003i −0.355408 0.194067i
\(443\) −11.0971 + 29.7524i −0.527237 + 1.41358i 0.351462 + 0.936202i \(0.385685\pi\)
−0.878699 + 0.477376i \(0.841588\pi\)
\(444\) −16.0758 18.5525i −0.762925 0.880462i
\(445\) −23.3335 + 7.43550i −1.10612 + 0.352477i
\(446\) 7.49052 + 2.19942i 0.354687 + 0.104145i
\(447\) −10.9296 + 0.781700i −0.516952 + 0.0369731i
\(448\) 2.99407 0.651319i 0.141456 0.0307719i
\(449\) −18.4580 + 28.7212i −0.871086 + 1.35544i 0.0628595 + 0.998022i \(0.479978\pi\)
−0.933946 + 0.357415i \(0.883658\pi\)
\(450\) −24.3141 + 10.3595i −1.14618 + 0.488352i
\(451\) 3.27102 11.1401i 0.154026 0.524565i
\(452\) 8.61901 11.5137i 0.405404 0.541557i
\(453\) 3.19758 44.7080i 0.150235 2.10056i
\(454\) −1.23833 2.71155i −0.0581175 0.127260i
\(455\) 8.44308 4.09189i 0.395818 0.191831i
\(456\) −13.4202 6.12881i −0.628459 0.287008i
\(457\) −2.69107 + 2.01451i −0.125883 + 0.0942347i −0.660364 0.750946i \(-0.729598\pi\)
0.534481 + 0.845180i \(0.320507\pi\)
\(458\) −1.85373 + 8.52145i −0.0866190 + 0.398181i
\(459\) −40.9056 −1.90931
\(460\) −6.06876 + 8.84139i −0.282957 + 0.412232i
\(461\) 6.32724 0.294689 0.147344 0.989085i \(-0.452927\pi\)
0.147344 + 0.989085i \(0.452927\pi\)
\(462\) 2.01919 9.28205i 0.0939410 0.431840i
\(463\) −7.38300 + 5.52685i −0.343117 + 0.256854i −0.756913 0.653515i \(-0.773294\pi\)
0.413796 + 0.910370i \(0.364203\pi\)
\(464\) −6.11633 2.79324i −0.283944 0.129673i
\(465\) 7.68479 22.1385i 0.356373 1.02665i
\(466\) 1.11799 + 2.44806i 0.0517899 + 0.113404i
\(467\) 2.06297 28.8442i 0.0954631 1.33475i −0.693566 0.720393i \(-0.743962\pi\)
0.789029 0.614355i \(-0.210584\pi\)
\(468\) 4.33777 5.79458i 0.200513 0.267855i
\(469\) −11.7517 + 40.0226i −0.542643 + 1.84807i
\(470\) −1.75115 + 2.86706i −0.0807745 + 0.132248i
\(471\) 17.5924 27.3744i 0.810616 1.26134i
\(472\) −6.32363 + 1.37562i −0.291069 + 0.0633181i
\(473\) 3.38705 0.242247i 0.155737 0.0111385i
\(474\) −0.629862 0.184944i −0.0289305 0.00849476i
\(475\) 11.7014 + 22.7995i 0.536897 + 1.04611i
\(476\) −12.4746 14.3964i −0.571772 0.659860i
\(477\) 8.24278 22.0997i 0.377411 1.01188i
\(478\) 16.4370 + 8.97527i 0.751810 + 0.410519i
\(479\) 4.10490 8.98848i 0.187558 0.410694i −0.792372 0.610039i \(-0.791154\pi\)
0.979930 + 0.199344i \(0.0638812\pi\)
\(480\) −6.43485 + 0.147313i −0.293710 + 0.00672388i
\(481\) −6.31382 9.82450i −0.287886 0.447959i
\(482\) −3.81599 3.81599i −0.173814 0.173814i
\(483\) 2.25064 42.2394i 0.102407 1.92196i
\(484\) 9.84008i 0.447276i
\(485\) 0.680664 14.0201i 0.0309073 0.636622i
\(486\) −1.54648 + 10.7560i −0.0701496 + 0.487901i
\(487\) 0.291855 + 0.782495i 0.0132252 + 0.0354582i 0.943395 0.331673i \(-0.107613\pi\)
−0.930169 + 0.367131i \(0.880340\pi\)
\(488\) −3.87285 + 7.09259i −0.175316 + 0.321067i
\(489\) 19.8136 9.04859i 0.896004 0.409191i
\(490\) 5.31745 0.502867i 0.240218 0.0227172i
\(491\) −1.54744 10.7627i −0.0698351 0.485714i −0.994484 0.104892i \(-0.966550\pi\)
0.924649 0.380822i \(-0.124359\pi\)
\(492\) 27.2354 14.8717i 1.22787 0.670467i
\(493\) 2.98215 + 41.6959i 0.134309 + 1.87789i
\(494\) −5.90446 3.79456i −0.265654 0.170726i
\(495\) −5.02163 + 11.6972i −0.225705 + 0.525748i
\(496\) 2.38423 2.75155i 0.107055 0.123548i
\(497\) 4.09995 + 7.50850i 0.183908 + 0.336802i
\(498\) −16.8830 12.6384i −0.756544 0.566341i
\(499\) 25.4510 22.0535i 1.13935 0.987248i 0.139350 0.990243i \(-0.455499\pi\)
0.999996 + 0.00299502i \(0.000953345\pi\)
\(500\) 8.93198 + 6.72456i 0.399450 + 0.300732i
\(501\) −2.79156 + 0.819675i −0.124718 + 0.0366204i
\(502\) 11.1903 4.17376i 0.499446 0.186284i
\(503\) −24.9221 33.2920i −1.11122 1.48442i −0.855598 0.517640i \(-0.826810\pi\)
−0.255623 0.966777i \(-0.582280\pi\)
\(504\) 13.6251 8.75632i 0.606910 0.390038i
\(505\) −5.87588 35.1382i −0.261473 1.56363i
\(506\) 0.827825 + 5.09833i 0.0368013 + 0.226648i
\(507\) −22.6435 + 22.6435i −1.00563 + 1.00563i
\(508\) 7.32749 + 1.59400i 0.325105 + 0.0707222i
\(509\) 16.6800 + 2.39822i 0.739327 + 0.106299i 0.501681 0.865053i \(-0.332715\pi\)
0.237646 + 0.971352i \(0.423624\pi\)
\(510\) 19.9762 + 34.6726i 0.884560 + 1.53533i
\(511\) 11.8346 + 40.3050i 0.523533 + 1.78299i
\(512\) −0.936950 0.349464i −0.0414077 0.0154443i
\(513\) −33.6377 2.40581i −1.48514 0.106219i
\(514\) 15.3975 2.21382i 0.679153 0.0976475i
\(515\) 4.89964 + 6.24209i 0.215904 + 0.275059i
\(516\) 6.85899 + 5.94335i 0.301950 + 0.261641i
\(517\) 0.343956 + 1.58114i 0.0151272 + 0.0695385i
\(518\) −5.55457 25.5340i −0.244054 1.12190i
\(519\) −26.1171 22.6306i −1.14641 0.993372i
\(520\) −3.04006 0.366293i −0.133315 0.0160630i
\(521\) 13.0213 1.87217i 0.570472 0.0820214i 0.148958 0.988844i \(-0.452408\pi\)
0.421514 + 0.906822i \(0.361499\pi\)
\(522\) −35.4510 2.53551i −1.55165 0.110976i
\(523\) 31.6508 + 11.8051i 1.38399 + 0.516202i 0.927599 0.373576i \(-0.121869\pi\)
0.456393 + 0.889779i \(0.349141\pi\)
\(524\) −3.07119 10.4595i −0.134166 0.456926i
\(525\) −43.8926 4.27195i −1.91563 0.186443i
\(526\) −11.7669 1.69183i −0.513062 0.0737672i
\(527\) −22.1175 4.81136i −0.963452 0.209586i
\(528\) −2.19214 + 2.19214i −0.0954005 + 0.0954005i
\(529\) 7.27724 + 21.8184i 0.316402 + 0.948625i
\(530\) −9.84137 + 1.64569i −0.427482 + 0.0714842i
\(531\) −28.7770 + 18.4938i −1.24881 + 0.802564i
\(532\) −9.41143 12.5722i −0.408037 0.545074i
\(533\) 13.8317 5.15894i 0.599116 0.223459i
\(534\) −30.2487 + 8.88181i −1.30899 + 0.384353i
\(535\) 41.0917 + 7.95861i 1.77655 + 0.344081i
\(536\) 10.2882 8.91479i 0.444383 0.385060i
\(537\) −27.5134 20.5963i −1.18729 0.888794i
\(538\) 0.663613 + 1.21532i 0.0286104 + 0.0523960i
\(539\) 1.68467 1.94422i 0.0725640 0.0837433i
\(540\) −13.6638 + 5.45571i −0.587995 + 0.234777i
\(541\) 3.52453 + 2.26507i 0.151531 + 0.0973832i 0.614209 0.789143i \(-0.289475\pi\)
−0.462678 + 0.886526i \(0.653111\pi\)
\(542\) −1.04702 14.6392i −0.0449733 0.628809i
\(543\) 47.9358 26.1749i 2.05712 1.12327i
\(544\) 0.884761 + 6.15365i 0.0379338 + 0.263835i
\(545\) 2.85615 3.45278i 0.122344 0.147901i
\(546\) 10.9866 5.01739i 0.470181 0.214725i
\(547\) 6.85763 12.5588i 0.293211 0.536976i −0.688999 0.724762i \(-0.741950\pi\)
0.982210 + 0.187787i \(0.0601313\pi\)
\(548\) −2.98756 8.00995i −0.127622 0.342168i
\(549\) −6.07899 + 42.2803i −0.259445 + 1.80448i
\(550\) 5.34806 0.629558i 0.228042 0.0268444i
\(551\) 34.4629i 1.46817i
\(552\) −8.07081 + 11.1998i −0.343516 + 0.476696i
\(553\) −0.494108 0.494108i −0.0210116 0.0210116i
\(554\) 5.39057 + 8.38789i 0.229023 + 0.356368i
\(555\) 1.25631 + 54.8776i 0.0533274 + 2.32943i
\(556\) 2.17847 4.77019i 0.0923878 0.202301i
\(557\) −28.0002 15.2893i −1.18641 0.647827i −0.239990 0.970775i \(-0.577144\pi\)
−0.946417 + 0.322948i \(0.895326\pi\)
\(558\) 6.72534 18.0313i 0.284706 0.763327i
\(559\) 2.82742 + 3.26302i 0.119587 + 0.138011i
\(560\) −6.08700 3.14509i −0.257223 0.132904i
\(561\) 18.4927 + 5.42994i 0.780762 + 0.229252i
\(562\) −24.2420 + 1.73382i −1.02259 + 0.0731370i
\(563\) 21.5825 4.69498i 0.909593 0.197870i 0.266659 0.963791i \(-0.414080\pi\)
0.642934 + 0.765921i \(0.277717\pi\)
\(564\) −2.33815 + 3.63823i −0.0984538 + 0.153197i
\(565\) −31.2602 + 7.55351i −1.31513 + 0.317778i
\(566\) −4.08351 + 13.9071i −0.171643 + 0.584561i
\(567\) 5.65994 7.56079i 0.237695 0.317524i
\(568\) 0.199179 2.78489i 0.00835738 0.116851i
\(569\) 5.79131 + 12.6812i 0.242785 + 0.531624i 0.991320 0.131471i \(-0.0419699\pi\)
−0.748536 + 0.663095i \(0.769243\pi\)
\(570\) 14.3876 + 29.6870i 0.602632 + 1.24345i
\(571\) −12.6559 5.77973i −0.529631 0.241874i 0.132606 0.991169i \(-0.457666\pi\)
−0.662237 + 0.749294i \(0.730393\pi\)
\(572\) −1.18066 + 0.883832i −0.0493660 + 0.0369549i
\(573\) 4.40478 20.2485i 0.184012 0.845892i
\(574\) 33.0318 1.37872
\(575\) 23.0576 6.58401i 0.961567 0.274572i
\(576\) −5.28581 −0.220242
\(577\) 1.69212 7.77856i 0.0704440 0.323826i −0.928417 0.371540i \(-0.878830\pi\)
0.998861 + 0.0477140i \(0.0151936\pi\)
\(578\) 17.3319 12.9745i 0.720910 0.539667i
\(579\) 9.05568 + 4.13559i 0.376341 + 0.171869i
\(580\) 6.55724 + 13.5300i 0.272275 + 0.561803i
\(581\) −9.32569 20.4204i −0.386895 0.847182i
\(582\) 1.28906 18.0235i 0.0534334 0.747097i
\(583\) −2.88007 + 3.84732i −0.119280 + 0.159340i
\(584\) 3.86236 13.1540i 0.159826 0.544316i
\(585\) −15.7326 + 3.80152i −0.650464 + 0.157174i
\(586\) 4.42917 6.89192i 0.182967 0.284703i
\(587\) 17.3193 3.76757i 0.714842 0.155504i 0.159586 0.987184i \(-0.448984\pi\)
0.555256 + 0.831680i \(0.312620\pi\)
\(588\) 6.85822 0.490509i 0.282828 0.0202283i
\(589\) −17.9047 5.25730i −0.737752 0.216623i
\(590\) 12.8561 + 6.64261i 0.529277 + 0.273472i
\(591\) 47.2176 + 54.4921i 1.94227 + 2.24150i
\(592\) −2.98030 + 7.99048i −0.122489 + 0.328407i
\(593\) −18.5221 10.1138i −0.760610 0.415324i 0.0516165 0.998667i \(-0.483563\pi\)
−0.812226 + 0.583343i \(0.801744\pi\)
\(594\) −2.94377 + 6.44597i −0.120785 + 0.264481i
\(595\) 0.974878 + 42.5842i 0.0399661 + 1.74578i
\(596\) 2.05804 + 3.20237i 0.0843005 + 0.131174i
\(597\) 38.1857 + 38.1857i 1.56284 + 1.56284i
\(598\) −4.55870 + 4.72742i −0.186419 + 0.193319i
\(599\) 29.6876i 1.21300i −0.795083 0.606501i \(-0.792573\pi\)
0.795083 0.606501i \(-0.207427\pi\)
\(600\) 11.2971 + 8.91748i 0.461201 + 0.364054i
\(601\) 2.79593 19.4461i 0.114049 0.793225i −0.849863 0.527003i \(-0.823316\pi\)
0.963912 0.266222i \(-0.0857753\pi\)
\(602\) 3.37613 + 9.05175i 0.137601 + 0.368922i
\(603\) 34.4854 63.1552i 1.40435 2.57188i
\(604\) −14.1642 + 6.46856i −0.576332 + 0.263202i
\(605\) −14.0246 + 16.9542i −0.570181 + 0.689288i
\(606\) −6.52682 45.3950i −0.265134 1.84405i
\(607\) −39.2197 + 21.4156i −1.59188 + 0.869232i −0.593977 + 0.804482i \(0.702443\pi\)
−0.997902 + 0.0647498i \(0.979375\pi\)
\(608\) 0.365641 + 5.11232i 0.0148287 + 0.207332i
\(609\) −49.8909 32.0629i −2.02168 1.29926i
\(610\) 16.7816 6.70060i 0.679466 0.271299i
\(611\) −1.34732 + 1.55489i −0.0545068 + 0.0629043i
\(612\) 15.7488 + 28.8418i 0.636609 + 1.16586i
\(613\) −8.19520 6.13485i −0.331001 0.247784i 0.420831 0.907139i \(-0.361739\pi\)
−0.751832 + 0.659355i \(0.770830\pi\)
\(614\) −10.4564 + 9.06056i −0.421988 + 0.365655i
\(615\) −68.1220 13.1938i −2.74694 0.532026i
\(616\) −3.16634 + 0.929723i −0.127576 + 0.0374596i
\(617\) 19.1655 7.14837i 0.771575 0.287783i 0.0673217 0.997731i \(-0.478555\pi\)
0.704253 + 0.709949i \(0.251282\pi\)
\(618\) 6.12178 + 8.17775i 0.246254 + 0.328957i
\(619\) −18.5156 + 11.8993i −0.744205 + 0.478272i −0.856981 0.515349i \(-0.827662\pi\)
0.112775 + 0.993621i \(0.464026\pi\)
\(620\) −8.02964 + 1.34273i −0.322478 + 0.0539253i
\(621\) −8.33865 + 30.4335i −0.334618 + 1.22126i
\(622\) 12.8787 12.8787i 0.516390 0.516390i
\(623\) −32.7913 7.13330i −1.31375 0.285790i
\(624\) −3.90168 0.560976i −0.156192 0.0224570i
\(625\) −5.80540 24.3166i −0.232216 0.972664i
\(626\) −4.87893 16.6161i −0.195001 0.664113i
\(627\) 14.8876 + 5.55279i 0.594554 + 0.221757i
\(628\) −11.2756 0.806450i −0.449947 0.0321809i
\(629\) 52.4795 7.54541i 2.09249 0.300855i
\(630\) −35.9557 4.33226i −1.43251 0.172601i
\(631\) 6.69141 + 5.79814i 0.266381 + 0.230820i 0.777801 0.628510i \(-0.216335\pi\)
−0.511420 + 0.859331i \(0.670880\pi\)
\(632\) 0.0484762 + 0.222841i 0.00192828 + 0.00886415i
\(633\) 8.95364 + 41.1592i 0.355875 + 1.63593i
\(634\) 24.2652 + 21.0259i 0.963695 + 0.835047i
\(635\) −10.3533 13.1900i −0.410857 0.523427i
\(636\) −12.7140 + 1.82800i −0.504145 + 0.0724851i
\(637\) 3.26265 + 0.233349i 0.129271 + 0.00924564i
\(638\) 6.78511 + 2.53071i 0.268625 + 0.100192i
\(639\) −4.15781 14.1602i −0.164480 0.560169i
\(640\) 1.11627 + 1.93751i 0.0441244 + 0.0765868i
\(641\) 29.6107 + 4.25737i 1.16955 + 0.168156i 0.699599 0.714536i \(-0.253362\pi\)
0.469952 + 0.882692i \(0.344271\pi\)
\(642\) 52.6494 + 11.4532i 2.07790 + 0.452020i
\(643\) 8.28887 8.28887i 0.326881 0.326881i −0.524518 0.851399i \(-0.675755\pi\)
0.851399 + 0.524518i \(0.175755\pi\)
\(644\) −13.2538 + 6.34628i −0.522273 + 0.250079i
\(645\) −3.34712 20.0161i −0.131793 0.788132i
\(646\) 26.8058 17.2270i 1.05466 0.677789i
\(647\) −9.84857 13.1561i −0.387187 0.517222i 0.564026 0.825757i \(-0.309252\pi\)
−0.951213 + 0.308536i \(0.900161\pi\)
\(648\) −2.88801 + 1.07717i −0.113452 + 0.0423153i
\(649\) 6.68750 1.96363i 0.262507 0.0770791i
\(650\) 4.71590 + 4.96397i 0.184973 + 0.194703i
\(651\) 24.2687 21.0290i 0.951166 0.824190i
\(652\) −6.05780 4.53481i −0.237242 0.177597i
\(653\) 21.3348 + 39.0717i 0.834894 + 1.52899i 0.848567 + 0.529087i \(0.177466\pi\)
−0.0136734 + 0.999907i \(0.504353\pi\)
\(654\) 3.77750 4.35947i 0.147712 0.170469i
\(655\) −9.61586 + 22.3988i −0.375723 + 0.875192i
\(656\) −9.06897 5.82828i −0.354084 0.227556i
\(657\) −5.16958 72.2802i −0.201685 2.81992i
\(658\) −4.04048 + 2.20627i −0.157514 + 0.0860093i
\(659\) −5.81469 40.4420i −0.226508 1.57540i −0.712651 0.701519i \(-0.752506\pi\)
0.486143 0.873879i \(-0.338404\pi\)
\(660\) 6.90135 0.652655i 0.268635 0.0254046i
\(661\) 8.42094 3.84572i 0.327537 0.149581i −0.244859 0.969559i \(-0.578742\pi\)
0.572395 + 0.819978i \(0.306014\pi\)
\(662\) 4.08811 7.48682i 0.158889 0.290983i
\(663\) 8.56392 + 22.9608i 0.332595 + 0.891722i
\(664\) −1.04267 + 7.25194i −0.0404635 + 0.281430i
\(665\) −1.70287 + 35.0753i −0.0660345 + 1.36016i
\(666\) 45.0784i 1.74675i
\(667\) 31.6294 + 6.28104i 1.22469 + 0.243203i
\(668\) 0.714698 + 0.714698i 0.0276525 + 0.0276525i
\(669\) −12.1492 18.9045i −0.469714 0.730889i
\(670\) −30.4322 + 0.696683i −1.17570 + 0.0269152i
\(671\) 3.61548 7.91681i 0.139574 0.305625i
\(672\) −7.74113 4.22698i −0.298621 0.163059i
\(673\) 12.4034 33.2549i 0.478117 1.28188i −0.444366 0.895845i \(-0.646571\pi\)
0.922483 0.386037i \(-0.126156\pi\)
\(674\) −19.3986 22.3872i −0.747206 0.862321i
\(675\) 31.3182 + 10.0743i 1.20544 + 0.387758i
\(676\) 10.6741 + 3.13421i 0.410544 + 0.120547i
\(677\) 12.9502 0.926220i 0.497718 0.0355975i 0.179776 0.983708i \(-0.442463\pi\)
0.317942 + 0.948110i \(0.397008\pi\)
\(678\) −40.4536 + 8.80013i −1.55361 + 0.337967i
\(679\) 10.3989 16.1811i 0.399075 0.620972i
\(680\) 7.24608 11.8636i 0.277874 0.454949i
\(681\) −2.41745 + 8.23307i −0.0926368 + 0.315492i
\(682\) −2.34986 + 3.13905i −0.0899810 + 0.120201i
\(683\) −1.69121 + 23.6463i −0.0647125 + 0.904799i 0.856601 + 0.515979i \(0.172572\pi\)
−0.921314 + 0.388820i \(0.872883\pi\)
\(684\) 11.2543 + 24.6436i 0.430320 + 0.942270i
\(685\) −6.26871 + 18.0590i −0.239515 + 0.689999i
\(686\) −12.8527 5.86965i −0.490720 0.224104i
\(687\) 20.0958 15.0435i 0.766701 0.573945i
\(688\) 0.670204 3.08088i 0.0255513 0.117457i
\(689\) −6.11063 −0.232797
\(690\) 29.8684 7.79409i 1.13707 0.296716i
\(691\) 24.1248 0.917750 0.458875 0.888501i \(-0.348253\pi\)
0.458875 + 0.888501i \(0.348253\pi\)
\(692\) −2.55195 + 11.7311i −0.0970105 + 0.445950i
\(693\) −13.9641 + 10.4534i −0.530451 + 0.397090i
\(694\) −7.55354 3.44959i −0.286728 0.130944i
\(695\) −10.5522 + 5.11406i −0.400267 + 0.193987i
\(696\) 8.04035 + 17.6059i 0.304769 + 0.667350i
\(697\) −4.78118 + 66.8496i −0.181100 + 2.53211i
\(698\) −5.48507 + 7.32720i −0.207613 + 0.277339i
\(699\) 2.18253 7.43302i 0.0825510 0.281143i
\(700\) 6.00523 + 14.0944i 0.226976 + 0.532720i
\(701\) −5.85348 + 9.10819i −0.221083 + 0.344011i −0.934023 0.357214i \(-0.883727\pi\)
0.712940 + 0.701225i \(0.247363\pi\)
\(702\) −8.80429 + 1.91526i −0.332296 + 0.0722867i
\(703\) 43.5989 3.11825i 1.64436 0.117607i
\(704\) 1.03337 + 0.303425i 0.0389467 + 0.0114358i
\(705\) 9.21398 2.93614i 0.347018 0.110581i
\(706\) −5.70680 6.58599i −0.214778 0.247867i
\(707\) 17.0603 45.7406i 0.641620 1.72025i
\(708\) 16.3497 + 8.92762i 0.614460 + 0.335520i
\(709\) 3.31934 7.26835i 0.124661 0.272968i −0.837004 0.547197i \(-0.815695\pi\)
0.961665 + 0.274228i \(0.0884223\pi\)
\(710\) −4.31235 + 4.51442i −0.161840 + 0.169423i
\(711\) 0.651713 + 1.01408i 0.0244411 + 0.0380311i
\(712\) 7.74430 + 7.74430i 0.290230 + 0.290230i
\(713\) −8.08829 + 15.4745i −0.302909 + 0.579523i
\(714\) 54.8333i 2.05209i
\(715\) 3.29394 + 0.159917i 0.123186 + 0.00598057i
\(716\) −1.69919 + 11.8182i −0.0635019 + 0.441665i
\(717\) −18.8389 50.5092i −0.703553 1.88630i
\(718\) −2.63583 + 4.82716i −0.0983683 + 0.180148i
\(719\) −36.2841 + 16.5704i −1.35317 + 0.617972i −0.954249 0.299014i \(-0.903342\pi\)
−0.398921 + 0.916985i \(0.630615\pi\)
\(720\) 9.10734 + 7.53361i 0.339410 + 0.280761i
\(721\) 1.54751 + 10.7632i 0.0576324 + 0.400842i
\(722\) 6.38032 3.48392i 0.237451 0.129658i
\(723\) 1.10820 + 15.4946i 0.0412144 + 0.576252i
\(724\) −15.9619 10.2581i −0.593218 0.381238i
\(725\) 7.98569 32.6576i 0.296581 1.21287i
\(726\) −18.5488 + 21.4064i −0.688409 + 0.794466i
\(727\) −4.44338 8.13743i −0.164796 0.301801i 0.782212 0.623013i \(-0.214092\pi\)
−0.947007 + 0.321212i \(0.895910\pi\)
\(728\) −3.35902 2.51453i −0.124493 0.0931946i
\(729\) 30.6280 26.5393i 1.13437 0.982937i
\(730\) −25.4025 + 17.1592i −0.940190 + 0.635091i
\(731\) −18.8076 + 5.52240i −0.695623 + 0.204253i
\(732\) 21.7948 8.12905i 0.805560 0.300458i
\(733\) −11.9620 15.9794i −0.441828 0.590213i 0.523249 0.852180i \(-0.324720\pi\)
−0.965077 + 0.261967i \(0.915629\pi\)
\(734\) 11.3613 7.30146i 0.419353 0.269502i
\(735\) −12.5157 8.92955i −0.461647 0.329372i
\(736\) 4.75863 + 0.596170i 0.175406 + 0.0219751i
\(737\) −10.3672 + 10.3672i −0.381881 + 0.381881i
\(738\) −55.6804 12.1125i −2.04963 0.445869i
\(739\) −4.42741 0.636565i −0.162865 0.0234164i 0.0604000 0.998174i \(-0.480762\pi\)
−0.223265 + 0.974758i \(0.571671\pi\)
\(740\) 16.5234 9.51975i 0.607414 0.349953i
\(741\) 5.69191 + 19.3848i 0.209097 + 0.712120i
\(742\) −12.8108 4.77819i −0.470300 0.175413i
\(743\) 32.8618 + 2.35032i 1.20558 + 0.0862249i 0.659629 0.751591i \(-0.270713\pi\)
0.545952 + 0.837816i \(0.316168\pi\)
\(744\) −10.3735 + 1.49148i −0.380310 + 0.0546803i
\(745\) 1.01823 8.45083i 0.0373051 0.309615i
\(746\) −21.6276 18.7404i −0.791842 0.686135i
\(747\) 8.23192 + 37.8415i 0.301190 + 1.38455i
\(748\) −1.42326 6.54260i −0.0520394 0.239221i
\(749\) 43.3456 + 37.5592i 1.58381 + 1.37238i
\(750\) −6.75496 31.4658i −0.246656 1.14897i
\(751\) −8.85109 + 1.27259i −0.322981 + 0.0464377i −0.301898 0.953340i \(-0.597620\pi\)
−0.0210825 + 0.999778i \(0.506711\pi\)
\(752\) 1.49861 + 0.107183i 0.0546486 + 0.00390854i
\(753\) −32.2113 12.0142i −1.17384 0.437821i
\(754\) 2.59412 + 8.83475i 0.0944721 + 0.321743i
\(755\) 33.6239 + 9.04233i 1.22370 + 0.329084i
\(756\) −19.9556 2.86919i −0.725780 0.104351i
\(757\) 14.1650 + 3.08141i 0.514837 + 0.111996i 0.462475 0.886632i \(-0.346961\pi\)
0.0523617 + 0.998628i \(0.483325\pi\)
\(758\) 10.2086 10.2086i 0.370792 0.370792i
\(759\) 7.80959 12.6515i 0.283470 0.459222i
\(760\) 6.65636 9.32955i 0.241452 0.338418i
\(761\) −37.0139 + 23.7874i −1.34175 + 0.862291i −0.997075 0.0764305i \(-0.975648\pi\)
−0.344676 + 0.938722i \(0.612011\pi\)
\(762\) −12.9357 17.2801i −0.468612 0.625993i
\(763\) 5.75316 2.14582i 0.208278 0.0776838i
\(764\) −6.90727 + 2.02816i −0.249896 + 0.0733762i
\(765\) 13.9720 72.1399i 0.505159 2.60822i
\(766\) −7.13617 + 6.18352i −0.257840 + 0.223420i
\(767\) 7.09443 + 5.31082i 0.256165 + 0.191763i
\(768\) 1.37952 + 2.52641i 0.0497792 + 0.0911638i
\(769\) 19.0076 21.9359i 0.685431 0.791029i −0.301277 0.953537i \(-0.597413\pi\)
0.986707 + 0.162508i \(0.0519582\pi\)
\(770\) 6.78063 + 2.91095i 0.244357 + 0.104903i
\(771\) −37.6692 24.2085i −1.35662 0.871850i
\(772\) −0.246726 3.44969i −0.00887988 0.124157i
\(773\) 8.76323 4.78509i 0.315192 0.172108i −0.313864 0.949468i \(-0.601624\pi\)
0.629056 + 0.777360i \(0.283442\pi\)
\(774\) −2.37179 16.4962i −0.0852523 0.592943i
\(775\) 15.7486 + 9.13077i 0.565707 + 0.327987i
\(776\) −5.71011 + 2.60772i −0.204981 + 0.0936117i
\(777\) −36.0485 + 66.0179i −1.29323 + 2.36838i
\(778\) 3.47528 + 9.31760i 0.124595 + 0.334052i
\(779\) −7.86335 + 54.6908i −0.281734 + 1.95950i
\(780\) 5.92297 + 6.52743i 0.212076 + 0.233719i
\(781\) 3.00698i 0.107598i
\(782\) −10.9252 27.7416i −0.390683 0.992037i
\(783\) 31.2837 + 31.2837i 1.11799 + 1.11799i
\(784\) −1.29140 2.00946i −0.0461214 0.0717663i
\(785\) 18.2783 + 17.4601i 0.652381 + 0.623179i
\(786\) −13.0353 + 28.5432i −0.464952 + 1.01810i
\(787\) 12.9345 + 7.06278i 0.461066 + 0.251761i 0.692955 0.720981i \(-0.256309\pi\)
−0.231889 + 0.972742i \(0.574490\pi\)
\(788\) 8.75368 23.4695i 0.311837 0.836067i
\(789\) 22.4090 + 25.8614i 0.797782 + 0.920689i
\(790\) 0.234082 0.453041i 0.00832826 0.0161185i
\(791\) −42.2837 12.4156i −1.50343 0.441448i
\(792\) 5.67830 0.406120i 0.201770 0.0144309i
\(793\) 10.8132 2.35228i 0.383990 0.0835318i
\(794\) 1.11711 1.73826i 0.0396447 0.0616884i
\(795\) 24.5114 + 14.9711i 0.869329 + 0.530971i
\(796\) 5.28549 18.0007i 0.187339 0.638018i
\(797\) −1.38615 + 1.85169i −0.0491001 + 0.0655901i −0.824419 0.565980i \(-0.808498\pi\)
0.775319 + 0.631570i \(0.217589\pi\)
\(798\) −3.22495 + 45.0907i −0.114162 + 1.59619i
\(799\) −3.88020 8.49644i −0.137271 0.300583i
\(800\) 0.838132 4.92925i 0.0296325 0.174275i
\(801\) 52.6592 + 24.0486i 1.86062 + 0.849717i
\(802\) 13.0295 9.75378i 0.460089 0.344418i
\(803\) −3.13851 + 14.4275i −0.110756 + 0.509135i
\(804\) −39.1859 −1.38198
\(805\) 31.8811 + 7.95552i 1.12366 + 0.280395i
\(806\) −4.98571 −0.175614
\(807\) 0.847254 3.89476i 0.0298247 0.137102i
\(808\) −12.7546 + 9.54799i −0.448706 + 0.335897i
\(809\) −37.5258 17.1375i −1.31934 0.602521i −0.373640 0.927574i \(-0.621891\pi\)
−0.945696 + 0.325053i \(0.894618\pi\)
\(810\) 6.51122 + 2.26020i 0.228781 + 0.0794153i
\(811\) −12.5834 27.5539i −0.441864 0.967547i −0.991252 0.131980i \(-0.957867\pi\)
0.549389 0.835567i \(-0.314861\pi\)
\(812\) −1.46979 + 20.5503i −0.0515795 + 0.721175i
\(813\) −25.3176 + 33.8203i −0.887926 + 1.18613i
\(814\) 2.58767 8.81279i 0.0906977 0.308888i
\(815\) 3.97420 + 16.4473i 0.139210 + 0.576123i
\(816\) 9.67502 15.0546i 0.338694 0.527017i
\(817\) −15.7907 + 3.43505i −0.552446 + 0.120177i
\(818\) 35.8804 2.56622i 1.25453 0.0897256i
\(819\) −21.2805 6.24852i −0.743601 0.218341i
\(820\) 7.31888 + 22.9676i 0.255586 + 0.802062i
\(821\) −9.85547 11.3738i −0.343958 0.396949i 0.557243 0.830349i \(-0.311859\pi\)
−0.901202 + 0.433400i \(0.857314\pi\)
\(822\) −8.59971 + 23.0567i −0.299949 + 0.804195i
\(823\) −35.1295 19.1821i −1.22454 0.668647i −0.268892 0.963170i \(-0.586657\pi\)
−0.955644 + 0.294523i \(0.904839\pi\)
\(824\) 1.47423 3.22811i 0.0513572 0.112457i
\(825\) −12.8211 8.71166i −0.446373 0.303301i
\(826\) 10.7206 + 16.6815i 0.373016 + 0.580424i
\(827\) 9.01789 + 9.01789i 0.313583 + 0.313583i 0.846296 0.532713i \(-0.178828\pi\)
−0.532713 + 0.846296i \(0.678828\pi\)
\(828\) 24.6686 5.83760i 0.857291 0.202871i
\(829\) 51.0735i 1.77386i −0.461909 0.886928i \(-0.652835\pi\)
0.461909 0.886928i \(-0.347165\pi\)
\(830\) 12.1324 11.0089i 0.421120 0.382123i
\(831\) 4.08455 28.4086i 0.141691 0.985485i
\(832\) 0.478552 + 1.28305i 0.0165908 + 0.0444817i
\(833\) −7.11686 + 13.0336i −0.246585 + 0.451586i
\(834\) −13.7310 + 6.27075i −0.475467 + 0.217138i
\(835\) −0.212784 2.25003i −0.00736369 0.0778656i
\(836\) −0.785582 5.46384i −0.0271699 0.188971i
\(837\) −21.0253 + 11.4807i −0.726742 + 0.396831i
\(838\) 0.811899 + 11.3518i 0.0280466 + 0.392142i
\(839\) 13.4874 + 8.66782i 0.465637 + 0.299246i 0.752342 0.658772i \(-0.228924\pi\)
−0.286706 + 0.958019i \(0.592560\pi\)
\(840\) 7.31329 + 18.3161i 0.252333 + 0.631964i
\(841\) 10.6164 12.2520i 0.366083 0.422482i
\(842\) −5.38526 9.86237i −0.185588 0.339880i
\(843\) 56.0052 + 41.9249i 1.92892 + 1.44397i
\(844\) 11.0590 9.58272i 0.380668 0.329851i
\(845\) −13.9243 20.6135i −0.479010 0.709127i
\(846\) 7.61990 2.23740i 0.261977 0.0769235i
\(847\) −28.2499 + 10.5366i −0.970676 + 0.362044i
\(848\) 2.67416 + 3.57226i 0.0918311 + 0.122672i
\(849\) 35.0987 22.5565i 1.20458 0.774138i
\(850\) −29.3935 + 10.1132i −1.00819 + 0.346882i
\(851\) 5.08425 40.5825i 0.174286 1.39115i
\(852\) −5.68288 + 5.68288i −0.194692 + 0.194692i
\(853\) 7.25289 + 1.57777i 0.248334 + 0.0540218i 0.335009 0.942215i \(-0.391261\pi\)
−0.0866750 + 0.996237i \(0.527624\pi\)
\(854\) 24.5091 + 3.52388i 0.838685 + 0.120585i
\(855\) 15.7323 58.5006i 0.538034 2.00068i
\(856\) −5.27355 17.9601i −0.180246 0.613862i
\(857\) 26.8841 + 10.0272i 0.918342 + 0.342524i 0.763793 0.645461i \(-0.223335\pi\)
0.154549 + 0.987985i \(0.450608\pi\)
\(858\) 4.23449 + 0.302857i 0.144563 + 0.0103394i
\(859\) 5.50786 0.791911i 0.187926 0.0270197i −0.0477092 0.998861i \(-0.515192\pi\)
0.235635 + 0.971842i \(0.424283\pi\)
\(860\) −5.54578 + 4.35308i −0.189110 + 0.148439i
\(861\) −71.8585 62.2657i −2.44893 2.12201i
\(862\) −2.79313 12.8398i −0.0951345 0.437326i
\(863\) 11.4427 + 52.6012i 0.389513 + 1.79056i 0.586274 + 0.810113i \(0.300594\pi\)
−0.196761 + 0.980452i \(0.563042\pi\)
\(864\) 4.97262 + 4.30880i 0.169172 + 0.146588i
\(865\) 21.1167 16.5753i 0.717991 0.563576i
\(866\) 10.4757 1.50618i 0.355980 0.0511822i
\(867\) −62.1614 4.44587i −2.11111 0.150990i
\(868\) −10.4524 3.89856i −0.354779 0.132326i
\(869\) −0.0691971 0.235664i −0.00234735 0.00799434i
\(870\) 11.2395 41.7941i 0.381056 1.41695i
\(871\) −18.4521 2.65301i −0.625226 0.0898939i
\(872\) −1.95816 0.425972i −0.0663117 0.0144252i
\(873\) −23.4626 + 23.4626i −0.794087 + 0.794087i
\(874\) −7.35242 23.4551i −0.248699 0.793380i
\(875\) 9.74127 32.8434i 0.329315 1.11031i
\(876\) −33.1979 + 21.3350i −1.12165 + 0.720842i
\(877\) 3.93117 + 5.25143i 0.132746 + 0.177328i 0.861989 0.506927i \(-0.169219\pi\)
−0.729243 + 0.684255i \(0.760128\pi\)
\(878\) 16.9660 6.32798i 0.572574 0.213559i
\(879\) −22.6268 + 6.64382i −0.763182 + 0.224091i
\(880\) −1.34802 1.99561i −0.0454417 0.0672721i
\(881\) −8.69678 + 7.53580i −0.293002 + 0.253888i −0.788940 0.614470i \(-0.789370\pi\)
0.495938 + 0.868358i \(0.334824\pi\)
\(882\) −10.1076 7.56643i −0.340340 0.254775i
\(883\) −24.3871 44.6617i −0.820691 1.50298i −0.863755 0.503912i \(-0.831894\pi\)
0.0430636 0.999072i \(-0.486288\pi\)
\(884\) 5.57509 6.43399i 0.187510 0.216399i
\(885\) −15.4461 38.6846i −0.519214 1.30037i
\(886\) −26.7136 17.1678i −0.897461 0.576763i
\(887\) 0.998188 + 13.9565i 0.0335159 + 0.468613i 0.986300 + 0.164964i \(0.0527507\pi\)
−0.952784 + 0.303650i \(0.901795\pi\)
\(888\) 21.5457 11.7648i 0.723025 0.394802i
\(889\) −3.27000 22.7433i −0.109672 0.762786i
\(890\) −2.30568 24.3808i −0.0772864 0.817247i
\(891\) 3.01969 1.37905i 0.101164 0.0461998i
\(892\) −3.74138 + 6.85182i −0.125271 + 0.229416i
\(893\) −2.69107 7.21503i −0.0900532 0.241442i
\(894\) 1.55942 10.8460i 0.0521547 0.362744i
\(895\) 19.7715 17.9406i 0.660889 0.599690i
\(896\) 3.06409i 0.102364i
\(897\) 18.8284 1.69093i 0.628663 0.0564585i
\(898\) −24.1413 24.1413i −0.805605 0.805605i
\(899\) 13.2353 + 20.5945i 0.441422 + 0.686866i
\(900\) −4.95444 25.9605i −0.165148 0.865350i
\(901\) 11.5244 25.2349i 0.383933 0.840695i
\(902\) 10.1902 + 5.56426i 0.339296 + 0.185270i
\(903\) 9.71822 26.0555i 0.323402 0.867074i
\(904\) 9.41843 + 10.8694i 0.313252 + 0.361512i
\(905\) 12.8816 + 40.4241i 0.428199 + 1.34374i
\(906\) 43.0066 + 12.6279i 1.42880 + 0.419533i
\(907\) −7.56992 + 0.541411i −0.251355 + 0.0179773i −0.196448 0.980514i \(-0.562941\pi\)
−0.0549069 + 0.998491i \(0.517486\pi\)
\(908\) 2.91281 0.633643i 0.0966650 0.0210282i
\(909\) −45.5307 + 70.8471i −1.51016 + 2.34985i
\(910\) 2.20367 + 9.11992i 0.0730511 + 0.302323i
\(911\) −1.32102 + 4.49899i −0.0437675 + 0.149058i −0.978478 0.206352i \(-0.933841\pi\)
0.934710 + 0.355411i \(0.115659\pi\)
\(912\) 8.84142 11.8107i 0.292769 0.391093i
\(913\) 0.562912 7.87054i 0.0186297 0.260477i
\(914\) −1.39644 3.05778i −0.0461902 0.101143i
\(915\) −49.1379 17.0569i −1.62445 0.563885i
\(916\) −7.93267 3.62273i −0.262103 0.119698i
\(917\) −26.7396 + 20.0170i −0.883020 + 0.661021i
\(918\) 8.69512 39.9708i 0.286982 1.31923i
\(919\) −20.3238 −0.670419 −0.335209 0.942144i \(-0.608807\pi\)
−0.335209 + 0.942144i \(0.608807\pi\)
\(920\) −7.34933 7.80944i −0.242300 0.257470i
\(921\) 39.8267 1.31233
\(922\) −1.34495 + 6.18264i −0.0442936 + 0.203614i
\(923\) −3.06074 + 2.29124i −0.100746 + 0.0754172i
\(924\) 8.64071 + 3.94608i 0.284259 + 0.129817i
\(925\) −42.0376 7.14775i −1.38219 0.235017i
\(926\) −3.83117 8.38910i −0.125900 0.275683i
\(927\) 1.33820 18.7105i 0.0439524 0.614534i
\(928\) 4.02952 5.38281i 0.132276 0.176699i
\(929\) −1.13089 + 3.85146i −0.0371033 + 0.126362i −0.975962 0.217940i \(-0.930066\pi\)
0.938859 + 0.344302i \(0.111884\pi\)
\(930\) 19.9990 + 12.2150i 0.655793 + 0.400547i
\(931\) −6.61891 + 10.2992i −0.216926 + 0.337544i
\(932\) −2.62976 + 0.572069i −0.0861407 + 0.0187388i
\(933\) −52.2935 + 3.74011i −1.71201 + 0.122446i
\(934\) 27.7465 + 8.14710i 0.907892 + 0.266581i
\(935\) −6.87262 + 13.3013i −0.224759 + 0.434998i
\(936\) 4.74010 + 5.47037i 0.154935 + 0.178804i
\(937\) 13.4471 36.0532i 0.439299 1.17781i −0.509095 0.860710i \(-0.670020\pi\)
0.948394 0.317095i \(-0.102707\pi\)
\(938\) −36.6100 19.9906i −1.19536 0.652715i
\(939\) −20.7079 + 45.3441i −0.675778 + 1.47975i
\(940\) −2.42931 2.32057i −0.0792352 0.0756886i
\(941\) 15.8183 + 24.6137i 0.515661 + 0.802384i 0.997258 0.0740090i \(-0.0235793\pi\)
−0.481597 + 0.876393i \(0.659943\pi\)
\(942\) 23.0092 + 23.0092i 0.749681 + 0.749681i
\(943\) 48.7610 + 17.1845i 1.58788 + 0.559605i
\(944\) 6.47153i 0.210630i
\(945\) 30.2938 + 33.3854i 0.985458 + 1.08603i
\(946\) −0.483259 + 3.36114i −0.0157121 + 0.109280i
\(947\) −11.5918 31.0788i −0.376683 1.00993i −0.977574 0.210594i \(-0.932460\pi\)
0.600891 0.799331i \(-0.294813\pi\)
\(948\) 0.314604 0.576155i 0.0102179 0.0187126i
\(949\) −17.0769 + 7.79875i −0.554339 + 0.253158i
\(950\) −24.7657 + 6.58762i −0.803507 + 0.213731i
\(951\) −13.1530 91.4810i −0.426514 2.96647i
\(952\) 16.7191 9.12932i 0.541869 0.295883i
\(953\) 0.245539 + 3.43309i 0.00795379 + 0.111209i 0.999878 0.0156240i \(-0.00497347\pi\)
−0.991924 + 0.126833i \(0.959519\pi\)
\(954\) 19.8426 + 12.7520i 0.642427 + 0.412863i
\(955\) 14.7917 + 6.35014i 0.478649 + 0.205486i
\(956\) −12.2641 + 14.1535i −0.396649 + 0.457757i
\(957\) −9.99008 18.2955i −0.322933 0.591408i
\(958\) 7.91051 + 5.92173i 0.255577 + 0.191323i
\(959\) −19.7967 + 17.1540i −0.639269 + 0.553930i
\(960\) 1.22388 6.31911i 0.0395006 0.203948i
\(961\) 17.0256 4.99917i 0.549213 0.161264i
\(962\) 10.9421 4.08119i 0.352787 0.131583i
\(963\) −59.2933 79.2065i −1.91070 2.55239i
\(964\) 4.53993 2.91764i 0.146221 0.0939707i
\(965\) −4.49157 + 6.29538i −0.144589 + 0.202656i
\(966\) 40.7956 + 11.1778i 1.31258 + 0.359641i
\(967\) −36.6857 + 36.6857i −1.17973 + 1.17973i −0.199920 + 0.979812i \(0.564068\pi\)
−0.979812 + 0.199920i \(0.935932\pi\)
\(968\) 9.61520 + 2.09166i 0.309044 + 0.0672284i
\(969\) −90.7875 13.0533i −2.91652 0.419332i
\(970\) 13.5551 + 3.64531i 0.435227 + 0.117044i
\(971\) 5.44131 + 18.5314i 0.174620 + 0.594701i 0.999565 + 0.0294882i \(0.00938775\pi\)
−0.824945 + 0.565213i \(0.808794\pi\)
\(972\) −10.1814 3.79748i −0.326570 0.121804i
\(973\) −16.0274 1.14630i −0.513815 0.0367488i
\(974\) −0.826650 + 0.118854i −0.0264876 + 0.00380834i
\(975\) −0.901921 19.6883i −0.0288846 0.630532i
\(976\) −6.10727 5.29198i −0.195489 0.169392i
\(977\) 5.92089 + 27.2179i 0.189426 + 0.870777i 0.969500 + 0.245090i \(0.0788176\pi\)
−0.780074 + 0.625687i \(0.784819\pi\)
\(978\) 4.63011 + 21.2843i 0.148054 + 0.680595i
\(979\) −8.91435 7.72433i −0.284904 0.246871i
\(980\) −0.638930 + 5.30282i −0.0204099 + 0.169392i
\(981\) −10.4847 + 1.50748i −0.334751 + 0.0481300i
\(982\) 10.8457 + 0.775698i 0.346099 + 0.0247535i
\(983\) −4.80987 1.79399i −0.153411 0.0572193i 0.271586 0.962414i \(-0.412452\pi\)
−0.424997 + 0.905195i \(0.639725\pi\)
\(984\) 8.74250 + 29.7742i 0.278701 + 0.949168i
\(985\) −48.5324 + 27.9613i −1.54637 + 0.890920i
\(986\) −41.3769 5.94910i −1.31771 0.189458i
\(987\) 12.9487 + 2.81681i 0.412160 + 0.0896600i
\(988\) 4.96293 4.96293i 0.157892 0.157892i
\(989\) 0.274691 + 15.1184i 0.00873466 + 0.480739i
\(990\) −10.3624 7.39328i −0.329339 0.234974i
\(991\) −46.5181 + 29.8953i −1.47769 + 0.949657i −0.480331 + 0.877087i \(0.659484\pi\)
−0.997363 + 0.0725695i \(0.976880\pi\)
\(992\) 2.18187 + 2.91463i 0.0692743 + 0.0925396i
\(993\) −23.0062 + 8.58088i −0.730081 + 0.272306i
\(994\) −8.20841 + 2.41021i −0.260355 + 0.0764472i
\(995\) −34.7623 + 23.4817i −1.10204 + 0.744419i
\(996\) 15.9383 13.8106i 0.505025 0.437607i
\(997\) −9.46607 7.08621i −0.299793 0.224423i 0.438782 0.898594i \(-0.355410\pi\)
−0.738575 + 0.674171i \(0.764501\pi\)
\(998\) 16.1395 + 29.5572i 0.510886 + 0.935617i
\(999\) 36.7463 42.4074i 1.16260 1.34171i
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 230.2.l.a.103.6 yes 240
5.2 odd 4 inner 230.2.l.a.57.1 240
23.21 odd 22 inner 230.2.l.a.113.1 yes 240
115.67 even 44 inner 230.2.l.a.67.6 yes 240
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
230.2.l.a.57.1 240 5.2 odd 4 inner
230.2.l.a.67.6 yes 240 115.67 even 44 inner
230.2.l.a.103.6 yes 240 1.1 even 1 trivial
230.2.l.a.113.1 yes 240 23.21 odd 22 inner