Properties

Label 300.2.n.a.191.1
Level $300$
Weight $2$
Character 300.191
Analytic conductor $2.396$
Analytic rank $0$
Dimension $224$
CM no
Inner twists $8$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [300,2,Mod(11,300)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(300, base_ring=CyclotomicField(10))
 
chi = DirichletCharacter(H, H._module([5, 5, 8]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("300.11");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 300.n (of order \(10\), degree \(4\), 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: \(2.39551206064\)
Analytic rank: \(0\)
Dimension: \(224\)
Relative dimension: \(56\) over \(\Q(\zeta_{10})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label 191.1
Character \(\chi\) \(=\) 300.191
Dual form 300.2.n.a.11.1

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-1.40873 - 0.124406i) q^{2} +(0.673811 + 1.59561i) q^{3} +(1.96905 + 0.350510i) q^{4} +(-2.20342 + 0.380687i) q^{5} +(-0.750715 - 2.33161i) q^{6} +0.0822219i q^{7} +(-2.73025 - 0.738736i) q^{8} +(-2.09196 + 2.15028i) q^{9} +O(q^{10})\) \(q+(-1.40873 - 0.124406i) q^{2} +(0.673811 + 1.59561i) q^{3} +(1.96905 + 0.350510i) q^{4} +(-2.20342 + 0.380687i) q^{5} +(-0.750715 - 2.33161i) q^{6} +0.0822219i q^{7} +(-2.73025 - 0.738736i) q^{8} +(-2.09196 + 2.15028i) q^{9} +(3.15139 - 0.262166i) q^{10} +(2.26115 + 1.64282i) q^{11} +(0.767488 + 3.37801i) q^{12} +(-3.85618 + 2.80168i) q^{13} +(0.0102289 - 0.115829i) q^{14} +(-2.09212 - 3.25930i) q^{15} +(3.75429 + 1.38034i) q^{16} +(-3.83252 - 1.24526i) q^{17} +(3.21451 - 2.76892i) q^{18} +(-2.03592 - 0.661512i) q^{19} +(-4.47208 - 0.0227314i) q^{20} +(-0.131194 + 0.0554021i) q^{21} +(-2.98097 - 2.59559i) q^{22} +(1.93558 + 1.40628i) q^{23} +(-0.660938 - 4.85419i) q^{24} +(4.71015 - 1.67763i) q^{25} +(5.78086 - 3.46707i) q^{26} +(-4.84060 - 1.88907i) q^{27} +(-0.0288196 + 0.161899i) q^{28} +(-3.40204 + 1.10539i) q^{29} +(2.54176 + 4.85175i) q^{30} +(-2.91747 - 0.947944i) q^{31} +(-5.11706 - 2.41159i) q^{32} +(-1.09772 + 4.71486i) q^{33} +(5.24407 + 2.23103i) q^{34} +(-0.0313008 - 0.181170i) q^{35} +(-4.87285 + 3.50076i) q^{36} +(-7.33089 + 5.32620i) q^{37} +(2.78577 + 1.18517i) q^{38} +(-7.06872 - 4.26516i) q^{39} +(6.29713 + 0.588377i) q^{40} +(4.77346 + 6.57011i) q^{41} +(0.191710 - 0.0617252i) q^{42} +8.76981i q^{43} +(3.87648 + 4.02734i) q^{44} +(3.79088 - 5.53437i) q^{45} +(-2.55176 - 2.22187i) q^{46} +(-0.650533 - 2.00213i) q^{47} +(0.327192 + 6.92047i) q^{48} +6.99324 q^{49} +(-6.84405 + 1.77736i) q^{50} +(-0.595441 - 6.95428i) q^{51} +(-8.57500 + 4.16500i) q^{52} +(7.15672 - 2.32536i) q^{53} +(6.58409 + 3.26339i) q^{54} +(-5.60766 - 2.75904i) q^{55} +(0.0607403 - 0.224486i) q^{56} +(-0.316312 - 3.69428i) q^{57} +(4.93007 - 1.13396i) q^{58} +(7.56329 - 5.49505i) q^{59} +(-2.97707 - 7.15102i) q^{60} +(-2.43750 - 1.77094i) q^{61} +(3.99200 + 1.69835i) q^{62} +(-0.176800 - 0.172005i) q^{63} +(6.90854 + 4.03387i) q^{64} +(7.43023 - 7.64128i) q^{65} +(2.13294 - 6.50541i) q^{66} +(12.2429 + 3.97795i) q^{67} +(-7.10993 - 3.79531i) q^{68} +(-0.939662 + 4.03599i) q^{69} +(0.0215558 + 0.259113i) q^{70} +(-1.11371 - 3.42765i) q^{71} +(7.30006 - 4.32541i) q^{72} +(-1.23678 - 0.898571i) q^{73} +(10.9899 - 6.59118i) q^{74} +(5.85060 + 6.38517i) q^{75} +(-3.77696 - 2.01616i) q^{76} +(-0.135076 + 0.185916i) q^{77} +(9.42732 + 6.88786i) q^{78} +(4.51758 - 1.46785i) q^{79} +(-8.79776 - 1.61227i) q^{80} +(-0.247436 - 8.99660i) q^{81} +(-5.90716 - 9.84936i) q^{82} +(-2.96963 + 9.13959i) q^{83} +(-0.277747 + 0.0631043i) q^{84} +(8.91872 + 1.28485i) q^{85} +(1.09102 - 12.3543i) q^{86} +(-4.05610 - 4.68351i) q^{87} +(-4.95989 - 6.15570i) q^{88} +(-6.21625 + 8.55594i) q^{89} +(-6.02884 + 7.32482i) q^{90} +(-0.230359 - 0.317062i) q^{91} +(3.31832 + 3.44747i) q^{92} +(-0.453274 - 5.29389i) q^{93} +(0.667348 + 2.90140i) q^{94} +(4.73783 + 0.682541i) q^{95} +(0.400025 - 9.78979i) q^{96} +(-2.56567 - 7.89632i) q^{97} +(-9.85159 - 0.870003i) q^{98} +(-8.26274 + 1.42540i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 224 q - 6 q^{4} + q^{6} - 6 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 224 q - 6 q^{4} + q^{6} - 6 q^{9} - 8 q^{10} - 9 q^{12} - 12 q^{13} - 18 q^{16} - 26 q^{18} + 12 q^{21} - 6 q^{22} - 16 q^{24} - 12 q^{25} + 2 q^{28} - 13 q^{30} + 6 q^{33} - 30 q^{34} + 35 q^{36} + 12 q^{37} - 24 q^{40} - 13 q^{42} - 6 q^{45} - 18 q^{46} - 34 q^{48} - 168 q^{49} - 28 q^{52} - 38 q^{54} - 44 q^{57} - 34 q^{58} - 76 q^{60} + 4 q^{61} + 18 q^{64} - 46 q^{66} - 18 q^{69} + 72 q^{70} - 29 q^{72} - 20 q^{73} + 16 q^{76} + 5 q^{78} - 30 q^{81} - 20 q^{82} - 18 q^{84} - 76 q^{85} + 6 q^{88} + 2 q^{90} - 52 q^{93} + 96 q^{94} - 50 q^{96} - 72 q^{97}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(151\) \(277\)
\(\chi(n)\) \(-1\) \(-1\) \(e\left(\frac{1}{5}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.40873 0.124406i −0.996123 0.0879685i
\(3\) 0.673811 + 1.59561i 0.389025 + 0.921227i
\(4\) 1.96905 + 0.350510i 0.984523 + 0.175255i
\(5\) −2.20342 + 0.380687i −0.985401 + 0.170249i
\(6\) −0.750715 2.33161i −0.306478 0.951878i
\(7\) 0.0822219i 0.0310770i 0.999879 + 0.0155385i \(0.00494625\pi\)
−0.999879 + 0.0155385i \(0.995054\pi\)
\(8\) −2.73025 0.738736i −0.965289 0.261183i
\(9\) −2.09196 + 2.15028i −0.697319 + 0.716761i
\(10\) 3.15139 0.262166i 0.996558 0.0829042i
\(11\) 2.26115 + 1.64282i 0.681761 + 0.495328i 0.873941 0.486031i \(-0.161556\pi\)
−0.192180 + 0.981360i \(0.561556\pi\)
\(12\) 0.767488 + 3.37801i 0.221555 + 0.975148i
\(13\) −3.85618 + 2.80168i −1.06951 + 0.777045i −0.975824 0.218557i \(-0.929865\pi\)
−0.0936864 + 0.995602i \(0.529865\pi\)
\(14\) 0.0102289 0.115829i 0.00273380 0.0309565i
\(15\) −2.09212 3.25930i −0.540183 0.841547i
\(16\) 3.75429 + 1.38034i 0.938571 + 0.345085i
\(17\) −3.83252 1.24526i −0.929522 0.302020i −0.195155 0.980772i \(-0.562521\pi\)
−0.734367 + 0.678752i \(0.762521\pi\)
\(18\) 3.21451 2.76892i 0.757668 0.652640i
\(19\) −2.03592 0.661512i −0.467073 0.151761i 0.0660193 0.997818i \(-0.478970\pi\)
−0.533092 + 0.846057i \(0.678970\pi\)
\(20\) −4.47208 0.0227314i −0.999987 0.00508290i
\(21\) −0.131194 + 0.0554021i −0.0286289 + 0.0120897i
\(22\) −2.98097 2.59559i −0.635545 0.553382i
\(23\) 1.93558 + 1.40628i 0.403595 + 0.293229i 0.771004 0.636830i \(-0.219755\pi\)
−0.367408 + 0.930060i \(0.619755\pi\)
\(24\) −0.660938 4.85419i −0.134913 0.990857i
\(25\) 4.71015 1.67763i 0.942031 0.335526i
\(26\) 5.78086 3.46707i 1.13372 0.679949i
\(27\) −4.84060 1.88907i −0.931574 0.363551i
\(28\) −0.0288196 + 0.161899i −0.00544639 + 0.0305960i
\(29\) −3.40204 + 1.10539i −0.631742 + 0.205265i −0.607347 0.794437i \(-0.707766\pi\)
−0.0243955 + 0.999702i \(0.507766\pi\)
\(30\) 2.54176 + 4.85175i 0.464060 + 0.885804i
\(31\) −2.91747 0.947944i −0.523993 0.170256i 0.0350636 0.999385i \(-0.488837\pi\)
−0.559057 + 0.829129i \(0.688837\pi\)
\(32\) −5.11706 2.41159i −0.904576 0.426312i
\(33\) −1.09772 + 4.71486i −0.191088 + 0.820752i
\(34\) 5.24407 + 2.23103i 0.899351 + 0.382618i
\(35\) −0.0313008 0.181170i −0.00529081 0.0306233i
\(36\) −4.87285 + 3.50076i −0.812142 + 0.583459i
\(37\) −7.33089 + 5.32620i −1.20519 + 0.875622i −0.994785 0.101992i \(-0.967478\pi\)
−0.210405 + 0.977614i \(0.567478\pi\)
\(38\) 2.78577 + 1.18517i 0.451912 + 0.192261i
\(39\) −7.06872 4.26516i −1.13190 0.682972i
\(40\) 6.29713 + 0.588377i 0.995663 + 0.0930306i
\(41\) 4.77346 + 6.57011i 0.745490 + 1.02608i 0.998284 + 0.0585585i \(0.0186504\pi\)
−0.252794 + 0.967520i \(0.581350\pi\)
\(42\) 0.191710 0.0617252i 0.0295815 0.00952441i
\(43\) 8.76981i 1.33738i 0.743540 + 0.668692i \(0.233145\pi\)
−0.743540 + 0.668692i \(0.766855\pi\)
\(44\) 3.87648 + 4.02734i 0.584401 + 0.607144i
\(45\) 3.79088 5.53437i 0.565111 0.825015i
\(46\) −2.55176 2.22187i −0.376236 0.327596i
\(47\) −0.650533 2.00213i −0.0948900 0.292041i 0.892335 0.451374i \(-0.149066\pi\)
−0.987225 + 0.159332i \(0.949066\pi\)
\(48\) 0.327192 + 6.92047i 0.0472261 + 0.998884i
\(49\) 6.99324 0.999034
\(50\) −6.84405 + 1.77736i −0.967895 + 0.251356i
\(51\) −0.595441 6.95428i −0.0833785 0.973795i
\(52\) −8.57500 + 4.16500i −1.18914 + 0.577582i
\(53\) 7.15672 2.32536i 0.983051 0.319413i 0.226978 0.973900i \(-0.427116\pi\)
0.756073 + 0.654487i \(0.227116\pi\)
\(54\) 6.58409 + 3.26339i 0.895982 + 0.444091i
\(55\) −5.60766 2.75904i −0.756137 0.372028i
\(56\) 0.0607403 0.224486i 0.00811676 0.0299983i
\(57\) −0.316312 3.69428i −0.0418966 0.489319i
\(58\) 4.93007 1.13396i 0.647350 0.148896i
\(59\) 7.56329 5.49505i 0.984656 0.715395i 0.0259120 0.999664i \(-0.491751\pi\)
0.958744 + 0.284269i \(0.0917510\pi\)
\(60\) −2.97707 7.15102i −0.384338 0.923193i
\(61\) −2.43750 1.77094i −0.312089 0.226746i 0.420703 0.907198i \(-0.361783\pi\)
−0.732792 + 0.680452i \(0.761783\pi\)
\(62\) 3.99200 + 1.69835i 0.506985 + 0.215691i
\(63\) −0.176800 0.172005i −0.0222748 0.0216706i
\(64\) 6.90854 + 4.03387i 0.863567 + 0.504234i
\(65\) 7.43023 7.64128i 0.921606 0.947784i
\(66\) 2.13294 6.50541i 0.262547 0.800760i
\(67\) 12.2429 + 3.97795i 1.49571 + 0.485984i 0.938762 0.344566i \(-0.111974\pi\)
0.556943 + 0.830550i \(0.311974\pi\)
\(68\) −7.10993 3.79531i −0.862206 0.460249i
\(69\) −0.939662 + 4.03599i −0.113122 + 0.485877i
\(70\) 0.0215558 + 0.259113i 0.00257641 + 0.0309700i
\(71\) −1.11371 3.42765i −0.132173 0.406787i 0.862966 0.505261i \(-0.168604\pi\)
−0.995140 + 0.0984739i \(0.968604\pi\)
\(72\) 7.30006 4.32541i 0.860320 0.509754i
\(73\) −1.23678 0.898571i −0.144754 0.105170i 0.513051 0.858358i \(-0.328515\pi\)
−0.657805 + 0.753188i \(0.728515\pi\)
\(74\) 10.9899 6.59118i 1.27755 0.766209i
\(75\) 5.85060 + 6.38517i 0.675570 + 0.737296i
\(76\) −3.77696 2.01616i −0.433247 0.231269i
\(77\) −0.135076 + 0.185916i −0.0153933 + 0.0211871i
\(78\) 9.42732 + 6.88786i 1.06743 + 0.779896i
\(79\) 4.51758 1.46785i 0.508268 0.165146i −0.0436467 0.999047i \(-0.513898\pi\)
0.551914 + 0.833901i \(0.313898\pi\)
\(80\) −8.79776 1.61227i −0.983620 0.180257i
\(81\) −0.247436 8.99660i −0.0274929 0.999622i
\(82\) −5.90716 9.84936i −0.652337 1.08768i
\(83\) −2.96963 + 9.13959i −0.325960 + 1.00320i 0.645046 + 0.764144i \(0.276838\pi\)
−0.971006 + 0.239057i \(0.923162\pi\)
\(84\) −0.277747 + 0.0631043i −0.0303046 + 0.00688524i
\(85\) 8.91872 + 1.28485i 0.967371 + 0.139361i
\(86\) 1.09102 12.3543i 0.117648 1.33220i
\(87\) −4.05610 4.68351i −0.434860 0.502125i
\(88\) −4.95989 6.15570i −0.528726 0.656199i
\(89\) −6.21625 + 8.55594i −0.658922 + 0.906928i −0.999445 0.0333083i \(-0.989396\pi\)
0.340524 + 0.940236i \(0.389396\pi\)
\(90\) −6.02884 + 7.32482i −0.635496 + 0.772104i
\(91\) −0.230359 0.317062i −0.0241482 0.0332371i
\(92\) 3.31832 + 3.44747i 0.345959 + 0.359423i
\(93\) −0.453274 5.29389i −0.0470024 0.548951i
\(94\) 0.667348 + 2.90140i 0.0688317 + 0.299256i
\(95\) 4.73783 + 0.682541i 0.486091 + 0.0700272i
\(96\) 0.400025 9.78979i 0.0408274 0.999166i
\(97\) −2.56567 7.89632i −0.260504 0.801750i −0.992695 0.120650i \(-0.961502\pi\)
0.732191 0.681100i \(-0.238498\pi\)
\(98\) −9.85159 0.870003i −0.995161 0.0878836i
\(99\) −8.26274 + 1.42540i −0.830437 + 0.143258i
\(100\) 9.86254 1.65238i 0.986254 0.165238i
\(101\) 12.0408i 1.19810i 0.800711 + 0.599050i \(0.204455\pi\)
−0.800711 + 0.599050i \(0.795545\pi\)
\(102\) −0.0263401 + 9.87079i −0.00260806 + 0.977354i
\(103\) 18.4706 6.00148i 1.81997 0.591343i 0.820151 0.572147i \(-0.193889\pi\)
0.999816 0.0191961i \(-0.00611068\pi\)
\(104\) 12.5980 4.80058i 1.23534 0.470736i
\(105\) 0.267986 0.172018i 0.0261527 0.0167873i
\(106\) −10.3712 + 2.38546i −1.00734 + 0.231697i
\(107\) 19.5335 1.88838 0.944190 0.329402i \(-0.106847\pi\)
0.944190 + 0.329402i \(0.106847\pi\)
\(108\) −8.86923 5.41634i −0.853442 0.521187i
\(109\) 1.24224 0.902543i 0.118985 0.0864479i −0.526701 0.850051i \(-0.676571\pi\)
0.645687 + 0.763603i \(0.276571\pi\)
\(110\) 7.55645 + 4.58437i 0.720479 + 0.437102i
\(111\) −13.4382 8.10840i −1.27550 0.769615i
\(112\) −0.113494 + 0.308685i −0.0107242 + 0.0291680i
\(113\) 9.23389 + 12.7094i 0.868651 + 1.19560i 0.979437 + 0.201751i \(0.0646632\pi\)
−0.110786 + 0.993844i \(0.535337\pi\)
\(114\) −0.0139925 + 5.24360i −0.00131052 + 0.491108i
\(115\) −4.80025 2.36178i −0.447625 0.220237i
\(116\) −7.08622 + 0.984113i −0.657939 + 0.0913726i
\(117\) 2.04256 14.1529i 0.188834 1.30843i
\(118\) −11.3383 + 6.80013i −1.04377 + 0.626003i
\(119\) 0.102388 0.315117i 0.00938587 0.0288867i
\(120\) 3.30425 + 10.4442i 0.301636 + 0.953423i
\(121\) −0.985260 3.03232i −0.0895691 0.275665i
\(122\) 3.21346 + 2.79802i 0.290933 + 0.253321i
\(123\) −7.26693 + 12.0436i −0.655237 + 1.08594i
\(124\) −5.41237 2.88915i −0.486045 0.259453i
\(125\) −9.73981 + 5.48963i −0.871156 + 0.491007i
\(126\) 0.227666 + 0.264303i 0.0202821 + 0.0235460i
\(127\) −9.60363 + 13.2183i −0.852185 + 1.17293i 0.131193 + 0.991357i \(0.458119\pi\)
−0.983377 + 0.181575i \(0.941881\pi\)
\(128\) −9.23043 6.54210i −0.815863 0.578246i
\(129\) −13.9932 + 5.90920i −1.23203 + 0.520276i
\(130\) −11.4178 + 9.84013i −1.00141 + 0.863037i
\(131\) −4.71724 + 14.5182i −0.412147 + 1.26846i 0.502631 + 0.864501i \(0.332366\pi\)
−0.914778 + 0.403957i \(0.867634\pi\)
\(132\) −3.81406 + 8.89902i −0.331971 + 0.774560i
\(133\) 0.0543908 0.167398i 0.00471628 0.0145152i
\(134\) −16.7520 7.12695i −1.44716 0.615675i
\(135\) 11.3850 + 2.31966i 0.979868 + 0.199644i
\(136\) 9.54382 + 6.23109i 0.818376 + 0.534312i
\(137\) −12.4775 17.1739i −1.06603 1.46726i −0.874034 0.485866i \(-0.838504\pi\)
−0.191994 0.981396i \(-0.561496\pi\)
\(138\) 1.82583 5.56873i 0.155425 0.474042i
\(139\) 0.484944 0.667468i 0.0411324 0.0566139i −0.787955 0.615732i \(-0.788860\pi\)
0.829088 + 0.559118i \(0.188860\pi\)
\(140\) 0.00186902 0.367703i 0.000157961 0.0310766i
\(141\) 2.75629 2.38706i 0.232122 0.201027i
\(142\) 1.14250 + 4.96719i 0.0958764 + 0.416838i
\(143\) −13.3220 −1.11404
\(144\) −10.8219 + 5.18516i −0.901827 + 0.432097i
\(145\) 7.07532 3.73075i 0.587573 0.309822i
\(146\) 1.63050 + 1.41971i 0.134941 + 0.117496i
\(147\) 4.71212 + 11.1585i 0.388649 + 0.920337i
\(148\) −16.3017 + 7.91799i −1.33999 + 0.650854i
\(149\) 2.64853i 0.216976i −0.994098 0.108488i \(-0.965399\pi\)
0.994098 0.108488i \(-0.0346010\pi\)
\(150\) −7.44757 9.72284i −0.608092 0.793867i
\(151\) 14.9712i 1.21834i 0.793039 + 0.609171i \(0.208498\pi\)
−0.793039 + 0.609171i \(0.791502\pi\)
\(152\) 5.06990 + 3.31010i 0.411223 + 0.268485i
\(153\) 10.6951 5.63597i 0.864650 0.455641i
\(154\) 0.213414 0.245101i 0.0171974 0.0197508i
\(155\) 6.78930 + 0.978078i 0.545329 + 0.0785611i
\(156\) −12.4237 10.8760i −0.994689 0.870773i
\(157\) −6.48646 −0.517676 −0.258838 0.965921i \(-0.583340\pi\)
−0.258838 + 0.965921i \(0.583340\pi\)
\(158\) −6.54667 + 1.50579i −0.520825 + 0.119794i
\(159\) 8.53265 + 9.85249i 0.676683 + 0.781354i
\(160\) 12.1931 + 3.36575i 0.963949 + 0.266086i
\(161\) −0.115627 + 0.159147i −0.00911268 + 0.0125425i
\(162\) −0.770663 + 12.7046i −0.0605490 + 0.998165i
\(163\) −12.4960 17.1993i −0.978763 1.34715i −0.937493 0.348004i \(-0.886860\pi\)
−0.0412703 0.999148i \(-0.513140\pi\)
\(164\) 7.09628 + 14.6100i 0.554126 + 1.14085i
\(165\) 0.623845 10.8067i 0.0485663 0.841302i
\(166\) 5.32044 12.5058i 0.412946 0.970637i
\(167\) 6.22266 19.1514i 0.481524 1.48198i −0.355430 0.934703i \(-0.615666\pi\)
0.836953 0.547274i \(-0.184334\pi\)
\(168\) 0.399121 0.0543436i 0.0307928 0.00419270i
\(169\) 3.00348 9.24377i 0.231037 0.711059i
\(170\) −12.4042 2.91955i −0.951361 0.223919i
\(171\) 5.68150 2.99396i 0.434475 0.228954i
\(172\) −3.07391 + 17.2682i −0.234383 + 1.31669i
\(173\) −2.57632 + 3.54600i −0.195874 + 0.269597i −0.895645 0.444770i \(-0.853285\pi\)
0.699771 + 0.714367i \(0.253285\pi\)
\(174\) 5.13130 + 7.10241i 0.389003 + 0.538432i
\(175\) 0.137938 + 0.387278i 0.0104271 + 0.0292755i
\(176\) 6.22134 + 9.28876i 0.468951 + 0.700167i
\(177\) 13.8642 + 8.36545i 1.04210 + 0.628786i
\(178\) 9.82144 11.2797i 0.736148 0.845447i
\(179\) 5.06138 + 15.5773i 0.378305 + 1.16430i 0.941222 + 0.337789i \(0.109679\pi\)
−0.562917 + 0.826514i \(0.690321\pi\)
\(180\) 9.40427 9.56868i 0.700953 0.713207i
\(181\) −1.35207 + 4.16123i −0.100498 + 0.309302i −0.988648 0.150253i \(-0.951991\pi\)
0.888149 + 0.459555i \(0.151991\pi\)
\(182\) 0.285070 + 0.475313i 0.0211308 + 0.0352326i
\(183\) 1.18333 5.08258i 0.0874741 0.375715i
\(184\) −4.24574 5.26937i −0.313000 0.388463i
\(185\) 14.1254 14.5267i 1.03852 1.06802i
\(186\) −0.0200512 + 7.51405i −0.00147022 + 0.550957i
\(187\) −6.62015 9.11185i −0.484113 0.666324i
\(188\) −0.579161 4.17031i −0.0422397 0.304151i
\(189\) 0.155323 0.398004i 0.0112981 0.0289505i
\(190\) −6.58942 1.55093i −0.478047 0.112516i
\(191\) −13.2471 + 9.62455i −0.958523 + 0.696408i −0.952807 0.303576i \(-0.901819\pi\)
−0.00571595 + 0.999984i \(0.501819\pi\)
\(192\) −1.78144 + 13.7414i −0.128564 + 0.991701i
\(193\) 8.27842 0.595894 0.297947 0.954582i \(-0.403698\pi\)
0.297947 + 0.954582i \(0.403698\pi\)
\(194\) 2.63199 + 11.4430i 0.188966 + 0.821558i
\(195\) 17.1991 + 6.70698i 1.23165 + 0.480297i
\(196\) 13.7700 + 2.45120i 0.983572 + 0.175086i
\(197\) −11.6056 + 3.77088i −0.826864 + 0.268664i −0.691724 0.722162i \(-0.743148\pi\)
−0.135140 + 0.990827i \(0.543148\pi\)
\(198\) 11.8173 0.980066i 0.839820 0.0696503i
\(199\) 21.9186i 1.55377i −0.629642 0.776885i \(-0.716799\pi\)
0.629642 0.776885i \(-0.283201\pi\)
\(200\) −14.0992 + 1.10079i −0.996966 + 0.0778377i
\(201\) 1.90212 + 22.2153i 0.134165 + 1.56694i
\(202\) 1.49795 16.9622i 0.105395 1.19346i
\(203\) −0.0908872 0.279722i −0.00637903 0.0196326i
\(204\) 1.26509 13.9020i 0.0885744 0.973336i
\(205\) −13.0191 12.6595i −0.909295 0.884181i
\(206\) −26.7668 + 6.15660i −1.86493 + 0.428951i
\(207\) −7.07304 + 1.22016i −0.491610 + 0.0848072i
\(208\) −18.3444 + 5.19545i −1.27196 + 0.360240i
\(209\) −3.51678 4.84043i −0.243261 0.334819i
\(210\) −0.398920 + 0.208988i −0.0275281 + 0.0144216i
\(211\) −0.373295 + 0.513796i −0.0256987 + 0.0353712i −0.821673 0.569959i \(-0.806959\pi\)
0.795974 + 0.605330i \(0.206959\pi\)
\(212\) 14.9070 2.07024i 1.02381 0.142184i
\(213\) 4.71877 4.08664i 0.323325 0.280012i
\(214\) −27.5175 2.43010i −1.88106 0.166118i
\(215\) −3.33856 19.3236i −0.227688 1.31786i
\(216\) 11.8205 + 8.73355i 0.804286 + 0.594243i
\(217\) 0.0779418 0.239880i 0.00529103 0.0162841i
\(218\) −1.86227 + 1.11690i −0.126129 + 0.0756458i
\(219\) 0.600416 2.57888i 0.0405724 0.174265i
\(220\) −10.0747 7.39821i −0.679235 0.498787i
\(221\) 18.2677 5.93553i 1.22882 0.399267i
\(222\) 17.9221 + 13.0943i 1.20285 + 0.878835i
\(223\) 5.21478 7.17752i 0.349207 0.480643i −0.597895 0.801574i \(-0.703996\pi\)
0.947102 + 0.320932i \(0.103996\pi\)
\(224\) 0.198285 0.420734i 0.0132485 0.0281115i
\(225\) −6.24606 + 13.6377i −0.416404 + 0.909180i
\(226\) −11.4269 19.0528i −0.760109 1.26737i
\(227\) −7.25355 5.27002i −0.481435 0.349783i 0.320446 0.947267i \(-0.396167\pi\)
−0.801881 + 0.597484i \(0.796167\pi\)
\(228\) 0.672048 7.38508i 0.0445075 0.489089i
\(229\) 1.33779 + 4.11730i 0.0884039 + 0.272079i 0.985479 0.169800i \(-0.0543121\pi\)
−0.897075 + 0.441879i \(0.854312\pi\)
\(230\) 6.46844 + 3.92429i 0.426516 + 0.258760i
\(231\) −0.387665 0.0902563i −0.0255065 0.00593843i
\(232\) 10.1050 0.504781i 0.663426 0.0331405i
\(233\) 1.93299 + 0.628067i 0.126635 + 0.0411461i 0.371649 0.928373i \(-0.378793\pi\)
−0.245014 + 0.969520i \(0.578793\pi\)
\(234\) −4.63812 + 19.6835i −0.303203 + 1.28675i
\(235\) 2.19559 + 4.16390i 0.143224 + 0.271623i
\(236\) 16.8185 8.16900i 1.09479 0.531757i
\(237\) 5.38612 + 6.21925i 0.349866 + 0.403984i
\(238\) −0.183439 + 0.431177i −0.0118906 + 0.0279491i
\(239\) −9.84559 7.15324i −0.636858 0.462704i 0.221911 0.975067i \(-0.428770\pi\)
−0.858769 + 0.512362i \(0.828770\pi\)
\(240\) −3.35548 15.1242i −0.216595 0.976262i
\(241\) −16.5433 + 12.0194i −1.06565 + 0.774238i −0.975125 0.221657i \(-0.928854\pi\)
−0.0905221 + 0.995894i \(0.528854\pi\)
\(242\) 1.01073 + 4.39429i 0.0649720 + 0.282476i
\(243\) 14.1884 6.45682i 0.910183 0.414205i
\(244\) −4.17881 4.34144i −0.267521 0.277932i
\(245\) −15.4091 + 2.66224i −0.984449 + 0.170084i
\(246\) 11.7355 16.0622i 0.748225 1.02409i
\(247\) 9.70422 3.15309i 0.617465 0.200626i
\(248\) 7.26515 + 4.74337i 0.461337 + 0.301204i
\(249\) −16.5842 + 1.41998i −1.05098 + 0.0899874i
\(250\) 14.4037 6.52171i 0.910971 0.412469i
\(251\) −0.315067 −0.0198868 −0.00994342 0.999951i \(-0.503165\pi\)
−0.00994342 + 0.999951i \(0.503165\pi\)
\(252\) −0.287839 0.400655i −0.0181321 0.0252389i
\(253\) 2.06636 + 6.35960i 0.129911 + 0.399825i
\(254\) 15.1734 17.4262i 0.952062 1.09342i
\(255\) 3.95942 + 15.0966i 0.247948 + 0.945383i
\(256\) 12.1893 + 10.3644i 0.761832 + 0.647774i
\(257\) 3.29754i 0.205695i 0.994697 + 0.102847i \(0.0327953\pi\)
−0.994697 + 0.102847i \(0.967205\pi\)
\(258\) 20.4478 6.58363i 1.27303 0.409879i
\(259\) −0.437931 0.602760i −0.0272117 0.0374537i
\(260\) 17.3088 12.4417i 1.07345 0.771599i
\(261\) 4.74001 9.62777i 0.293399 0.595944i
\(262\) 8.45147 19.8653i 0.522134 1.22729i
\(263\) 3.85860 2.80344i 0.237931 0.172867i −0.462430 0.886656i \(-0.653022\pi\)
0.700361 + 0.713789i \(0.253022\pi\)
\(264\) 6.48008 12.0618i 0.398821 0.742354i
\(265\) −14.8840 + 7.84822i −0.914320 + 0.482112i
\(266\) −0.0974473 + 0.229052i −0.00597488 + 0.0140441i
\(267\) −17.8405 4.15364i −1.09182 0.254199i
\(268\) 22.7125 + 12.1240i 1.38739 + 0.740592i
\(269\) 1.52190 + 0.494495i 0.0927918 + 0.0301499i 0.355045 0.934849i \(-0.384466\pi\)
−0.262253 + 0.964999i \(0.584466\pi\)
\(270\) −15.7499 4.68415i −0.958507 0.285068i
\(271\) −18.1696 + 5.90365i −1.10372 + 0.358621i −0.803534 0.595259i \(-0.797050\pi\)
−0.300189 + 0.953880i \(0.597050\pi\)
\(272\) −12.6695 9.96525i −0.768200 0.604232i
\(273\) 0.350690 0.581204i 0.0212247 0.0351761i
\(274\) 15.4410 + 25.7456i 0.932822 + 1.55535i
\(275\) 13.4064 + 3.94456i 0.808436 + 0.237866i
\(276\) −3.26489 + 7.61770i −0.196523 + 0.458532i
\(277\) 23.3083 + 16.9344i 1.40046 + 1.01749i 0.994625 + 0.103545i \(0.0330187\pi\)
0.405834 + 0.913947i \(0.366981\pi\)
\(278\) −0.766193 + 0.879953i −0.0459532 + 0.0527761i
\(279\) 8.14157 4.29033i 0.487423 0.256855i
\(280\) −0.0483775 + 0.517762i −0.00289111 + 0.0309422i
\(281\) −14.4037 4.68005i −0.859253 0.279188i −0.153936 0.988081i \(-0.549195\pi\)
−0.705316 + 0.708893i \(0.749195\pi\)
\(282\) −4.17984 + 3.01982i −0.248906 + 0.179828i
\(283\) −7.00016 2.27449i −0.416116 0.135204i 0.0934737 0.995622i \(-0.470203\pi\)
−0.509590 + 0.860417i \(0.670203\pi\)
\(284\) −0.991523 7.13957i −0.0588361 0.423656i
\(285\) 2.10334 + 8.01965i 0.124591 + 0.475043i
\(286\) 18.7671 + 1.65734i 1.10972 + 0.0980007i
\(287\) −0.540207 + 0.392483i −0.0318874 + 0.0231676i
\(288\) 15.8902 5.95819i 0.936342 0.351089i
\(289\) −0.615764 0.447379i −0.0362214 0.0263164i
\(290\) −10.4314 + 4.37541i −0.612550 + 0.256933i
\(291\) 10.8707 9.41445i 0.637251 0.551885i
\(292\) −2.12031 2.20283i −0.124082 0.128911i
\(293\) 10.2253i 0.597370i −0.954352 0.298685i \(-0.903452\pi\)
0.954352 0.298685i \(-0.0965480\pi\)
\(294\) −5.24993 16.3055i −0.306182 0.950958i
\(295\) −14.5732 + 14.9872i −0.848487 + 0.872587i
\(296\) 23.9498 9.12627i 1.39205 0.530454i
\(297\) −7.84191 12.2237i −0.455034 0.709290i
\(298\) −0.329494 + 3.73107i −0.0190871 + 0.216135i
\(299\) −11.4039 −0.659502
\(300\) 9.28204 + 14.6234i 0.535899 + 0.844282i
\(301\) −0.721071 −0.0415618
\(302\) 1.86252 21.0904i 0.107176 1.21362i
\(303\) −19.2124 + 8.11320i −1.10372 + 0.466091i
\(304\) −6.73033 5.29377i −0.386011 0.303619i
\(305\) 6.04501 + 2.97422i 0.346136 + 0.170303i
\(306\) −15.7677 + 6.60902i −0.901380 + 0.377813i
\(307\) 7.46889i 0.426272i −0.977023 0.213136i \(-0.931632\pi\)
0.977023 0.213136i \(-0.0683677\pi\)
\(308\) −0.331136 + 0.318731i −0.0188682 + 0.0181614i
\(309\) 22.0218 + 25.4281i 1.25277 + 1.44656i
\(310\) −9.44261 2.22248i −0.536304 0.126228i
\(311\) 1.58882 + 1.15434i 0.0900937 + 0.0654569i 0.631920 0.775033i \(-0.282267\pi\)
−0.541827 + 0.840490i \(0.682267\pi\)
\(312\) 16.1486 + 16.8669i 0.914232 + 0.954899i
\(313\) 7.60934 5.52851i 0.430105 0.312490i −0.351586 0.936156i \(-0.614357\pi\)
0.781691 + 0.623666i \(0.214357\pi\)
\(314\) 9.13768 + 0.806956i 0.515669 + 0.0455392i
\(315\) 0.455046 + 0.311694i 0.0256390 + 0.0175619i
\(316\) 9.40982 1.30681i 0.529344 0.0735138i
\(317\) 15.7657 + 5.12259i 0.885490 + 0.287713i 0.716235 0.697859i \(-0.245864\pi\)
0.169255 + 0.985572i \(0.445864\pi\)
\(318\) −10.7945 14.9410i −0.605325 0.837851i
\(319\) −9.50845 3.08948i −0.532371 0.172978i
\(320\) −16.7581 6.25833i −0.936805 0.349851i
\(321\) 13.1619 + 31.1680i 0.734627 + 1.73963i
\(322\) 0.182686 0.209810i 0.0101807 0.0116923i
\(323\) 6.97896 + 5.07051i 0.388320 + 0.282131i
\(324\) 2.66618 17.8014i 0.148121 0.988969i
\(325\) −13.4630 + 19.6656i −0.746793 + 1.09085i
\(326\) 15.4638 + 25.7838i 0.856462 + 1.42803i
\(327\) 2.27715 + 1.37400i 0.125927 + 0.0759821i
\(328\) −8.17918 21.4644i −0.451619 1.18517i
\(329\) 0.164619 0.0534881i 0.00907576 0.00294889i
\(330\) −2.22325 + 15.1462i −0.122386 + 0.833769i
\(331\) 21.0227 + 6.83070i 1.15551 + 0.375449i 0.823218 0.567726i \(-0.192177\pi\)
0.332296 + 0.943175i \(0.392177\pi\)
\(332\) −9.05086 + 16.9554i −0.496731 + 0.930548i
\(333\) 3.88306 26.9057i 0.212790 1.47442i
\(334\) −11.1486 + 26.2050i −0.610024 + 1.43387i
\(335\) −28.4906 4.10441i −1.55661 0.224248i
\(336\) −0.569015 + 0.0269023i −0.0310423 + 0.00146764i
\(337\) −17.9878 + 13.0689i −0.979859 + 0.711909i −0.957677 0.287845i \(-0.907061\pi\)
−0.0221815 + 0.999754i \(0.507061\pi\)
\(338\) −5.38108 + 12.6483i −0.292692 + 0.687978i
\(339\) −14.0573 + 23.2974i −0.763488 + 1.26534i
\(340\) 17.1110 + 5.65602i 0.927975 + 0.306741i
\(341\) −5.03953 6.93631i −0.272906 0.375622i
\(342\) −8.37617 + 3.51087i −0.452932 + 0.189846i
\(343\) 1.15055i 0.0621239i
\(344\) 6.47858 23.9438i 0.349301 1.29096i
\(345\) 0.534021 9.25072i 0.0287507 0.498042i
\(346\) 4.07048 4.67485i 0.218830 0.251321i
\(347\) −0.624538 1.92213i −0.0335270 0.103185i 0.932893 0.360155i \(-0.117276\pi\)
−0.966420 + 0.256969i \(0.917276\pi\)
\(348\) −6.34504 10.6437i −0.340130 0.570565i
\(349\) −5.02428 −0.268944 −0.134472 0.990917i \(-0.542934\pi\)
−0.134472 + 0.990917i \(0.542934\pi\)
\(350\) −0.146138 0.562731i −0.00781139 0.0300792i
\(351\) 23.9588 6.27723i 1.27882 0.335054i
\(352\) −7.60861 13.8593i −0.405540 0.738705i
\(353\) 8.70024 2.82688i 0.463067 0.150460i −0.0681864 0.997673i \(-0.521721\pi\)
0.531253 + 0.847213i \(0.321721\pi\)
\(354\) −18.4902 13.5095i −0.982744 0.718020i
\(355\) 3.75884 + 7.12860i 0.199499 + 0.378347i
\(356\) −15.2390 + 14.6682i −0.807667 + 0.777412i
\(357\) 0.571795 0.0489583i 0.0302626 0.00259115i
\(358\) −5.19220 22.5739i −0.274416 1.19307i
\(359\) 10.7840 7.83505i 0.569159 0.413518i −0.265641 0.964072i \(-0.585583\pi\)
0.834800 + 0.550554i \(0.185583\pi\)
\(360\) −14.4385 + 12.3097i −0.760975 + 0.648781i
\(361\) −11.6639 8.47434i −0.613891 0.446018i
\(362\) 2.42238 5.69385i 0.127317 0.299262i
\(363\) 4.17452 3.61530i 0.219106 0.189754i
\(364\) −0.342454 0.705053i −0.0179495 0.0369548i
\(365\) 3.06722 + 1.50911i 0.160546 + 0.0789903i
\(366\) −2.29930 + 7.01277i −0.120186 + 0.366564i
\(367\) 24.7528 + 8.04268i 1.29209 + 0.419824i 0.872822 0.488040i \(-0.162288\pi\)
0.419265 + 0.907864i \(0.362288\pi\)
\(368\) 5.32556 + 7.95132i 0.277614 + 0.414491i
\(369\) −24.1135 3.48008i −1.25530 0.181166i
\(370\) −21.7061 + 18.7069i −1.12845 + 0.972523i
\(371\) 0.191195 + 0.588439i 0.00992637 + 0.0305502i
\(372\) 0.963042 10.5828i 0.0499314 0.548692i
\(373\) 8.12792 + 5.90528i 0.420848 + 0.305764i 0.777979 0.628291i \(-0.216245\pi\)
−0.357131 + 0.934054i \(0.616245\pi\)
\(374\) 8.19243 + 13.6597i 0.423621 + 0.706328i
\(375\) −15.3221 11.8420i −0.791231 0.611518i
\(376\) 0.297069 + 5.94690i 0.0153202 + 0.306688i
\(377\) 10.0219 13.7940i 0.516154 0.710426i
\(378\) −0.268322 + 0.541357i −0.0138010 + 0.0278444i
\(379\) −19.9962 + 6.49717i −1.02714 + 0.333737i −0.773658 0.633604i \(-0.781575\pi\)
−0.253480 + 0.967341i \(0.581575\pi\)
\(380\) 9.08977 + 3.00461i 0.466296 + 0.154133i
\(381\) −27.5623 6.41706i −1.41206 0.328756i
\(382\) 19.8589 11.9104i 1.01607 0.609388i
\(383\) −5.78085 + 17.7916i −0.295387 + 0.909109i 0.687704 + 0.725992i \(0.258619\pi\)
−0.983091 + 0.183118i \(0.941381\pi\)
\(384\) 4.21909 19.1363i 0.215304 0.976547i
\(385\) 0.226853 0.461073i 0.0115615 0.0234984i
\(386\) −11.6621 1.02989i −0.593584 0.0524199i
\(387\) −18.8576 18.3461i −0.958585 0.932583i
\(388\) −2.28418 16.4475i −0.115962 0.834996i
\(389\) 11.8655 16.3314i 0.601603 0.828036i −0.394251 0.919003i \(-0.628996\pi\)
0.995854 + 0.0909670i \(0.0289958\pi\)
\(390\) −23.3945 11.5880i −1.18463 0.586782i
\(391\) −5.66695 7.79988i −0.286590 0.394457i
\(392\) −19.0933 5.16616i −0.964357 0.260930i
\(393\) −26.3439 + 2.25562i −1.32887 + 0.113781i
\(394\) 16.8183 3.86835i 0.847292 0.194885i
\(395\) −9.39535 + 4.95408i −0.472732 + 0.249267i
\(396\) −16.7693 0.0894982i −0.842691 0.00449745i
\(397\) −1.91674 5.89913i −0.0961986 0.296069i 0.891366 0.453285i \(-0.149748\pi\)
−0.987564 + 0.157216i \(0.949748\pi\)
\(398\) −2.72682 + 30.8775i −0.136683 + 1.54775i
\(399\) 0.303751 0.0260078i 0.0152066 0.00130202i
\(400\) 19.9990 + 0.203313i 0.999948 + 0.0101657i
\(401\) 20.5073i 1.02408i 0.858960 + 0.512042i \(0.171111\pi\)
−0.858960 + 0.512042i \(0.828889\pi\)
\(402\) 0.0841427 31.5320i 0.00419666 1.57267i
\(403\) 13.9061 4.51837i 0.692713 0.225076i
\(404\) −4.22041 + 23.7088i −0.209973 + 1.17956i
\(405\) 3.97010 + 19.7291i 0.197276 + 0.980348i
\(406\) 0.0932364 + 0.405360i 0.00462724 + 0.0201177i
\(407\) −25.3262 −1.25537
\(408\) −3.51168 + 19.4268i −0.173854 + 0.961771i
\(409\) 2.02333 1.47003i 0.100047 0.0726885i −0.536637 0.843813i \(-0.680306\pi\)
0.636684 + 0.771125i \(0.280306\pi\)
\(410\) 16.7655 + 19.4535i 0.827990 + 0.960742i
\(411\) 18.9953 31.4813i 0.936970 1.55286i
\(412\) 38.4731 5.34304i 1.89544 0.263233i
\(413\) 0.451814 + 0.621868i 0.0222323 + 0.0306001i
\(414\) 10.1158 0.838952i 0.497165 0.0412322i
\(415\) 3.06403 21.2689i 0.150408 1.04405i
\(416\) 26.4887 5.03683i 1.29872 0.246951i
\(417\) 1.39178 + 0.324035i 0.0681558 + 0.0158681i
\(418\) 4.35201 + 7.25637i 0.212864 + 0.354921i
\(419\) 4.74511 14.6040i 0.231814 0.713450i −0.765714 0.643181i \(-0.777614\pi\)
0.997528 0.0702689i \(-0.0223857\pi\)
\(420\) 0.587971 0.244780i 0.0286900 0.0119440i
\(421\) 5.77668 + 17.7788i 0.281538 + 0.866486i 0.987415 + 0.158151i \(0.0505533\pi\)
−0.705877 + 0.708335i \(0.749447\pi\)
\(422\) 0.589792 0.677361i 0.0287106 0.0329734i
\(423\) 5.66604 + 2.78955i 0.275492 + 0.135632i
\(424\) −21.2575 + 1.06189i −1.03235 + 0.0515698i
\(425\) −20.1408 + 0.564180i −0.976974 + 0.0273668i
\(426\) −7.15588 + 5.16994i −0.346704 + 0.250484i
\(427\) 0.145610 0.200416i 0.00704658 0.00969879i
\(428\) 38.4625 + 6.84670i 1.85915 + 0.330948i
\(429\) −8.97653 21.2568i −0.433391 1.02629i
\(430\) 2.29915 + 27.6371i 0.110875 + 1.33278i
\(431\) 3.05905 9.41480i 0.147349 0.453495i −0.849956 0.526853i \(-0.823372\pi\)
0.997306 + 0.0733583i \(0.0233717\pi\)
\(432\) −15.5654 13.7738i −0.748893 0.662691i
\(433\) −1.93188 + 5.94571i −0.0928401 + 0.285733i −0.986685 0.162644i \(-0.947998\pi\)
0.893845 + 0.448377i \(0.147998\pi\)
\(434\) −0.139642 + 0.328230i −0.00670301 + 0.0157555i
\(435\) 10.7203 + 8.77564i 0.513997 + 0.420760i
\(436\) 2.76239 1.34173i 0.132294 0.0642572i
\(437\) −3.01042 4.14348i −0.144008 0.198210i
\(438\) −1.16665 + 3.55826i −0.0557449 + 0.170020i
\(439\) 12.2442 16.8527i 0.584384 0.804335i −0.409784 0.912183i \(-0.634396\pi\)
0.994167 + 0.107847i \(0.0343958\pi\)
\(440\) 13.2721 + 11.6754i 0.632724 + 0.556605i
\(441\) −14.6296 + 15.0374i −0.696645 + 0.716069i
\(442\) −26.4727 + 6.08895i −1.25918 + 0.289622i
\(443\) −16.6148 −0.789392 −0.394696 0.918812i \(-0.629150\pi\)
−0.394696 + 0.918812i \(0.629150\pi\)
\(444\) −23.6183 20.6760i −1.12088 0.981241i
\(445\) 10.4399 21.2188i 0.494899 1.00587i
\(446\) −8.23915 + 9.46245i −0.390135 + 0.448060i
\(447\) 4.22603 1.78461i 0.199885 0.0844093i
\(448\) −0.331672 + 0.568033i −0.0156701 + 0.0268371i
\(449\) 6.28383i 0.296552i −0.988946 0.148276i \(-0.952628\pi\)
0.988946 0.148276i \(-0.0473725\pi\)
\(450\) 10.4956 18.4348i 0.494769 0.869025i
\(451\) 22.6979i 1.06880i
\(452\) 13.7272 + 28.2619i 0.645673 + 1.32933i
\(453\) −23.8883 + 10.0878i −1.12237 + 0.473965i
\(454\) 9.56268 + 8.32642i 0.448799 + 0.390778i
\(455\) 0.628280 + 0.610928i 0.0294542 + 0.0286407i
\(456\) −1.86548 + 10.3200i −0.0873593 + 0.483277i
\(457\) 36.2884 1.69750 0.848750 0.528794i \(-0.177355\pi\)
0.848750 + 0.528794i \(0.177355\pi\)
\(458\) −1.37237 5.96660i −0.0641268 0.278801i
\(459\) 16.1993 + 13.2677i 0.756119 + 0.619283i
\(460\) −8.62408 6.33298i −0.402100 0.295277i
\(461\) 17.2404 23.7294i 0.802965 1.10519i −0.189406 0.981899i \(-0.560656\pi\)
0.992371 0.123288i \(-0.0393439\pi\)
\(462\) 0.534887 + 0.175375i 0.0248852 + 0.00815917i
\(463\) 11.7805 + 16.2144i 0.547485 + 0.753549i 0.989668 0.143376i \(-0.0457958\pi\)
−0.442183 + 0.896925i \(0.645796\pi\)
\(464\) −14.2980 0.546025i −0.663769 0.0253486i
\(465\) 3.01407 + 11.4921i 0.139774 + 0.532934i
\(466\) −2.64493 1.12525i −0.122524 0.0521264i
\(467\) −4.60747 + 14.1803i −0.213208 + 0.656188i 0.786067 + 0.618141i \(0.212114\pi\)
−0.999276 + 0.0380475i \(0.987886\pi\)
\(468\) 8.98260 27.1517i 0.415221 1.25509i
\(469\) −0.327075 + 1.00663i −0.0151029 + 0.0464820i
\(470\) −2.57498 6.13896i −0.118775 0.283169i
\(471\) −4.37065 10.3499i −0.201389 0.476897i
\(472\) −24.7091 + 9.41559i −1.13733 + 0.433388i
\(473\) −14.4072 + 19.8298i −0.662444 + 0.911776i
\(474\) −6.81388 9.43132i −0.312972 0.433195i
\(475\) −10.6993 + 0.299706i −0.490917 + 0.0137514i
\(476\) 0.312058 0.584592i 0.0143031 0.0267947i
\(477\) −9.97136 + 20.2535i −0.456557 + 0.927345i
\(478\) 12.9799 + 11.3018i 0.593686 + 0.516934i
\(479\) 0.851191 + 2.61970i 0.0388919 + 0.119697i 0.968618 0.248556i \(-0.0799560\pi\)
−0.929726 + 0.368253i \(0.879956\pi\)
\(480\) 2.84542 + 21.7233i 0.129875 + 0.991530i
\(481\) 13.3469 41.0775i 0.608566 1.87297i
\(482\) 24.8003 14.8740i 1.12962 0.677493i
\(483\) −0.331847 0.0772608i −0.0150996 0.00351549i
\(484\) −0.877164 6.31612i −0.0398711 0.287096i
\(485\) 8.65929 + 16.4222i 0.393198 + 0.745695i
\(486\) −20.7908 + 7.33080i −0.943092 + 0.332532i
\(487\) 14.5777 + 20.0645i 0.660580 + 0.909211i 0.999500 0.0316045i \(-0.0100617\pi\)
−0.338920 + 0.940815i \(0.610062\pi\)
\(488\) 5.34671 + 6.63579i 0.242034 + 0.300388i
\(489\) 19.0234 31.5279i 0.860270 1.42574i
\(490\) 22.0384 1.83339i 0.995595 0.0828241i
\(491\) 12.2246 8.88168i 0.551688 0.400825i −0.276720 0.960951i \(-0.589247\pi\)
0.828407 + 0.560126i \(0.189247\pi\)
\(492\) −18.5303 + 21.1673i −0.835412 + 0.954295i
\(493\) 14.4149 0.649213
\(494\) −14.0629 + 3.23459i −0.632720 + 0.145531i
\(495\) 17.6637 6.28628i 0.793924 0.282547i
\(496\) −9.64453 7.58596i −0.433052 0.340619i
\(497\) 0.281828 0.0915715i 0.0126417 0.00410754i
\(498\) 23.5393 + 0.0628145i 1.05482 + 0.00281478i
\(499\) 30.5698i 1.36849i 0.729251 + 0.684246i \(0.239869\pi\)
−0.729251 + 0.684246i \(0.760131\pi\)
\(500\) −21.1023 + 7.39543i −0.943724 + 0.330734i
\(501\) 34.7510 2.97546i 1.55256 0.132934i
\(502\) 0.443844 + 0.0391963i 0.0198097 + 0.00174942i
\(503\) −10.7048 32.9460i −0.477303 1.46899i −0.842826 0.538186i \(-0.819110\pi\)
0.365523 0.930802i \(-0.380890\pi\)
\(504\) 0.355643 + 0.600225i 0.0158416 + 0.0267361i
\(505\) −4.58377 26.5309i −0.203975 1.18061i
\(506\) −2.11977 9.21603i −0.0942353 0.409703i
\(507\) 16.7732 1.43616i 0.744926 0.0637822i
\(508\) −23.5431 + 22.6612i −1.04456 + 1.00543i
\(509\) −5.64708 7.77254i −0.250303 0.344512i 0.665315 0.746563i \(-0.268297\pi\)
−0.915617 + 0.402051i \(0.868297\pi\)
\(510\) −3.69965 21.7596i −0.163823 0.963530i
\(511\) 0.0738822 0.101690i 0.00326836 0.00449851i
\(512\) −15.8821 16.1171i −0.701895 0.712280i
\(513\) 8.60546 + 7.04811i 0.379940 + 0.311182i
\(514\) 0.410234 4.64534i 0.0180947 0.204897i
\(515\) −38.4140 + 20.2553i −1.69272 + 0.892557i
\(516\) −29.6245 + 6.73072i −1.30415 + 0.296304i
\(517\) 1.81819 5.59582i 0.0799641 0.246104i
\(518\) 0.541939 + 0.903607i 0.0238114 + 0.0397022i
\(519\) −7.39399 1.72147i −0.324560 0.0755642i
\(520\) −25.9313 + 15.3736i −1.13716 + 0.674178i
\(521\) −6.92987 + 2.25165i −0.303603 + 0.0986467i −0.456857 0.889540i \(-0.651025\pi\)
0.153254 + 0.988187i \(0.451025\pi\)
\(522\) −7.87516 + 12.9732i −0.344686 + 0.567823i
\(523\) −2.74254 + 3.77479i −0.119923 + 0.165060i −0.864758 0.502189i \(-0.832528\pi\)
0.744835 + 0.667249i \(0.232528\pi\)
\(524\) −14.3772 + 26.9335i −0.628072 + 1.17660i
\(525\) −0.525001 + 0.481048i −0.0229129 + 0.0209947i
\(526\) −5.78449 + 3.46925i −0.252216 + 0.151267i
\(527\) 10.0008 + 7.26602i 0.435643 + 0.316513i
\(528\) −10.6293 + 16.1857i −0.462579 + 0.704393i
\(529\) −5.33856 16.4304i −0.232111 0.714365i
\(530\) 21.9440 9.20436i 0.953186 0.399812i
\(531\) −4.00616 + 27.7586i −0.173852 + 1.20462i
\(532\) 0.165772 0.310549i 0.00718715 0.0134640i
\(533\) −36.8146 11.9618i −1.59462 0.518123i
\(534\) 24.6158 + 8.07084i 1.06523 + 0.349259i
\(535\) −43.0407 + 7.43617i −1.86081 + 0.321494i
\(536\) −30.4875 19.9051i −1.31686 0.859768i
\(537\) −21.4449 + 18.5722i −0.925417 + 0.801448i
\(538\) −2.08243 0.885944i −0.0897798 0.0381957i
\(539\) 15.8127 + 11.4886i 0.681103 + 0.494850i
\(540\) 21.6046 + 8.55808i 0.929714 + 0.368281i
\(541\) −1.99675 + 1.45073i −0.0858471 + 0.0623716i −0.629881 0.776692i \(-0.716896\pi\)
0.544034 + 0.839063i \(0.316896\pi\)
\(542\) 26.3305 6.05625i 1.13099 0.260138i
\(543\) −7.55074 + 0.646511i −0.324033 + 0.0277445i
\(544\) 16.6082 + 15.6145i 0.712069 + 0.669467i
\(545\) −2.39360 + 2.46159i −0.102531 + 0.105443i
\(546\) −0.566333 + 0.775132i −0.0242368 + 0.0331726i
\(547\) 16.6404 5.40680i 0.711493 0.231178i 0.0691620 0.997605i \(-0.477967\pi\)
0.642331 + 0.766427i \(0.277967\pi\)
\(548\) −18.5492 38.1896i −0.792384 1.63138i
\(549\) 8.90717 1.53657i 0.380149 0.0655791i
\(550\) −18.3953 7.22467i −0.784377 0.308061i
\(551\) 7.65751 0.326221
\(552\) 5.54705 10.3251i 0.236098 0.439466i
\(553\) 0.120690 + 0.371444i 0.00513224 + 0.0157954i
\(554\) −30.7283 26.7558i −1.30552 1.13674i
\(555\) 32.6968 + 12.7505i 1.38790 + 0.541228i
\(556\) 1.18883 1.14430i 0.0504177 0.0485291i
\(557\) 30.9896i 1.31307i 0.754295 + 0.656535i \(0.227979\pi\)
−0.754295 + 0.656535i \(0.772021\pi\)
\(558\) −12.0030 + 5.03106i −0.508129 + 0.212982i
\(559\) −24.5702 33.8179i −1.03921 1.43035i
\(560\) 0.132564 0.723369i 0.00560184 0.0305679i
\(561\) 10.0782 16.7029i 0.425504 0.705195i
\(562\) 19.7087 + 8.38484i 0.831362 + 0.353693i
\(563\) 3.93582 2.85954i 0.165875 0.120515i −0.501751 0.865012i \(-0.667311\pi\)
0.667626 + 0.744497i \(0.267311\pi\)
\(564\) 6.26396 3.73412i 0.263760 0.157235i
\(565\) −25.1845 24.4889i −1.05952 1.03025i
\(566\) 9.57838 + 4.07501i 0.402609 + 0.171285i
\(567\) 0.739718 0.0203447i 0.0310652 0.000854395i
\(568\) 0.508582 + 10.1811i 0.0213396 + 0.427189i
\(569\) 20.6253 + 6.70156i 0.864656 + 0.280944i 0.707572 0.706641i \(-0.249791\pi\)
0.157084 + 0.987585i \(0.449791\pi\)
\(570\) −1.96534 11.5592i −0.0823190 0.484161i
\(571\) 0.104477 0.0339467i 0.00437223 0.00142062i −0.306830 0.951764i \(-0.599268\pi\)
0.311202 + 0.950344i \(0.399268\pi\)
\(572\) −26.2317 4.66950i −1.09680 0.195242i
\(573\) −24.2831 14.6520i −1.01444 0.612097i
\(574\) 0.809834 0.485698i 0.0338018 0.0202727i
\(575\) 11.4761 + 3.37661i 0.478585 + 0.140814i
\(576\) −23.1263 + 6.41663i −0.963597 + 0.267360i
\(577\) 10.6652 + 7.74875i 0.444000 + 0.322585i 0.787222 0.616669i \(-0.211518\pi\)
−0.343222 + 0.939254i \(0.611518\pi\)
\(578\) 0.811789 + 0.706841i 0.0337660 + 0.0294007i
\(579\) 5.57810 + 13.2092i 0.231818 + 0.548954i
\(580\) 15.2393 4.86605i 0.632777 0.202052i
\(581\) −0.751475 0.244169i −0.0311764 0.0101298i
\(582\) −16.4851 + 11.9100i −0.683329 + 0.493687i
\(583\) 20.0025 + 6.49921i 0.828420 + 0.269170i
\(584\) 2.71290 + 3.36698i 0.112261 + 0.139326i
\(585\) 0.887194 + 31.9623i 0.0366810 + 1.32148i
\(586\) −1.27209 + 14.4047i −0.0525497 + 0.595054i
\(587\) −6.42275 + 4.66640i −0.265095 + 0.192603i −0.712390 0.701783i \(-0.752387\pi\)
0.447295 + 0.894386i \(0.352387\pi\)
\(588\) 5.36722 + 23.6232i 0.221341 + 0.974206i
\(589\) 5.31267 + 3.85988i 0.218905 + 0.159044i
\(590\) 22.3943 19.2999i 0.921958 0.794564i
\(591\) −13.8368 15.9771i −0.569172 0.657212i
\(592\) −34.8742 + 9.87696i −1.43332 + 0.405940i
\(593\) 23.1318i 0.949910i −0.880010 0.474955i \(-0.842464\pi\)
0.880010 0.474955i \(-0.157536\pi\)
\(594\) 9.52644 + 18.1955i 0.390875 + 0.746569i
\(595\) −0.105643 + 0.733314i −0.00433092 + 0.0300630i
\(596\) 0.928338 5.21509i 0.0380262 0.213618i
\(597\) 34.9736 14.7690i 1.43138 0.604456i
\(598\) 16.0650 + 1.41871i 0.656945 + 0.0580154i
\(599\) 13.8053 0.564071 0.282035 0.959404i \(-0.408990\pi\)
0.282035 + 0.959404i \(0.408990\pi\)
\(600\) −11.2567 21.7552i −0.459551 0.888151i
\(601\) 29.5640 1.20594 0.602970 0.797764i \(-0.293984\pi\)
0.602970 + 0.797764i \(0.293984\pi\)
\(602\) 1.01579 + 0.0897057i 0.0414007 + 0.00365613i
\(603\) −34.1653 + 18.0039i −1.39132 + 0.733177i
\(604\) −5.24757 + 29.4790i −0.213520 + 1.19949i
\(605\) 3.32531 + 6.30641i 0.135193 + 0.256392i
\(606\) 28.0744 9.03918i 1.14045 0.367192i
\(607\) 36.6312i 1.48682i 0.668838 + 0.743408i \(0.266792\pi\)
−0.668838 + 0.743408i \(0.733208\pi\)
\(608\) 8.82264 + 8.29480i 0.357805 + 0.336398i
\(609\) 0.385087 0.333500i 0.0156045 0.0135141i
\(610\) −8.14578 4.94191i −0.329813 0.200092i
\(611\) 8.11790 + 5.89800i 0.328415 + 0.238607i
\(612\) 23.0347 7.34873i 0.931121 0.297055i
\(613\) −15.4549 + 11.2286i −0.624217 + 0.453520i −0.854392 0.519629i \(-0.826070\pi\)
0.230175 + 0.973149i \(0.426070\pi\)
\(614\) −0.929177 + 10.5217i −0.0374985 + 0.424619i
\(615\) 11.4273 29.3036i 0.460793 1.18164i
\(616\) 0.506133 0.407811i 0.0203927 0.0164312i
\(617\) 19.8963 + 6.46469i 0.800994 + 0.260259i 0.680779 0.732489i \(-0.261642\pi\)
0.120215 + 0.992748i \(0.461642\pi\)
\(618\) −27.8593 38.5610i −1.12067 1.55115i
\(619\) 24.5117 + 7.96433i 0.985208 + 0.320114i 0.756940 0.653485i \(-0.226694\pi\)
0.228269 + 0.973598i \(0.426694\pi\)
\(620\) 13.0256 + 4.30560i 0.523121 + 0.172917i
\(621\) −6.71280 10.4637i −0.269375 0.419892i
\(622\) −2.09461 1.82382i −0.0839863 0.0731285i
\(623\) −0.703486 0.511112i −0.0281846 0.0204773i
\(624\) −20.6506 25.7699i −0.826687 1.03162i
\(625\) 19.3711 15.8038i 0.774844 0.632152i
\(626\) −11.4073 + 6.84153i −0.455927 + 0.273443i
\(627\) 5.35380 8.87295i 0.213810 0.354351i
\(628\) −12.7721 2.27357i −0.509664 0.0907253i
\(629\) 34.7283 11.2839i 1.38471 0.449919i
\(630\) −0.602261 0.495703i −0.0239947 0.0197493i
\(631\) 9.50638 + 3.08881i 0.378443 + 0.122964i 0.492061 0.870561i \(-0.336244\pi\)
−0.113617 + 0.993525i \(0.536244\pi\)
\(632\) −13.4185 + 0.670302i −0.533759 + 0.0266632i
\(633\) −1.07135 0.249432i −0.0425823 0.00991404i
\(634\) −21.5724 9.17770i −0.856748 0.364493i
\(635\) 16.1289 32.7814i 0.640054 1.30089i
\(636\) 13.3478 + 22.3908i 0.529274 + 0.887853i
\(637\) −26.9672 + 19.5928i −1.06848 + 0.776294i
\(638\) 13.0105 + 5.53516i 0.515091 + 0.219139i
\(639\) 9.70026 + 4.77570i 0.383736 + 0.188924i
\(640\) 22.8291 + 10.9011i 0.902398 + 0.430904i
\(641\) −18.6448 25.6623i −0.736424 1.01360i −0.998816 0.0486391i \(-0.984512\pi\)
0.262393 0.964961i \(-0.415488\pi\)
\(642\) −14.6641 45.5447i −0.578747 1.79751i
\(643\) 7.49503i 0.295575i −0.989019 0.147788i \(-0.952785\pi\)
0.989019 0.147788i \(-0.0472152\pi\)
\(644\) −0.283457 + 0.272839i −0.0111698 + 0.0107514i
\(645\) 28.5834 18.3475i 1.12547 0.722432i
\(646\) −9.20068 8.01121i −0.361996 0.315197i
\(647\) 6.63326 + 20.4151i 0.260780 + 0.802600i 0.992636 + 0.121139i \(0.0386548\pi\)
−0.731855 + 0.681460i \(0.761345\pi\)
\(648\) −5.97055 + 24.7458i −0.234545 + 0.972105i
\(649\) 26.1291 1.02566
\(650\) 21.4123 26.0286i 0.839858 1.02093i
\(651\) 0.435274 0.0372691i 0.0170597 0.00146069i
\(652\) −18.5767 38.2462i −0.727520 1.49784i
\(653\) 13.4876 4.38240i 0.527812 0.171496i −0.0329758 0.999456i \(-0.510498\pi\)
0.560788 + 0.827960i \(0.310498\pi\)
\(654\) −3.03695 2.21888i −0.118754 0.0867651i
\(655\) 4.86720 33.7855i 0.190177 1.32011i
\(656\) 8.85196 + 31.2551i 0.345611 + 1.22031i
\(657\) 4.51946 0.779649i 0.176321 0.0304170i
\(658\) −0.238559 + 0.0548706i −0.00929998 + 0.00213908i
\(659\) −27.7018 + 20.1265i −1.07911 + 0.784017i −0.977527 0.210810i \(-0.932390\pi\)
−0.101580 + 0.994827i \(0.532390\pi\)
\(660\) 5.01625 21.0603i 0.195257 0.819770i
\(661\) −25.8902 18.8103i −1.00701 0.731636i −0.0434305 0.999056i \(-0.513829\pi\)
−0.963580 + 0.267421i \(0.913829\pi\)
\(662\) −28.7656 12.2380i −1.11801 0.475643i
\(663\) 21.7798 + 25.1487i 0.845856 + 0.976695i
\(664\) 14.8596 22.7596i 0.576664 0.883244i
\(665\) −0.0561198 + 0.389554i −0.00217623 + 0.0151062i
\(666\) −8.81741 + 37.4198i −0.341668 + 1.44999i
\(667\) −8.13938 2.64465i −0.315158 0.102401i
\(668\) 18.9654 35.5288i 0.733795 1.37465i
\(669\) 14.9663 + 3.48446i 0.578631 + 0.134717i
\(670\) 39.6250 + 9.32642i 1.53085 + 0.360311i
\(671\) −2.60219 8.00872i −0.100457 0.309173i
\(672\) 0.804935 + 0.0328908i 0.0310511 + 0.00126879i
\(673\) 4.52179 + 3.28527i 0.174302 + 0.126638i 0.671516 0.740990i \(-0.265644\pi\)
−0.497214 + 0.867628i \(0.665644\pi\)
\(674\) 26.9658 16.1728i 1.03869 0.622952i
\(675\) −25.9691 0.777050i −0.999553 0.0299087i
\(676\) 9.15403 17.1487i 0.352078 0.659564i
\(677\) 6.37681 8.77693i 0.245081 0.337325i −0.668700 0.743532i \(-0.733149\pi\)
0.913781 + 0.406207i \(0.133149\pi\)
\(678\) 22.7013 31.0710i 0.871838 1.19327i
\(679\) 0.649251 0.210954i 0.0249160 0.00809569i
\(680\) −23.4012 10.0965i −0.897394 0.387184i
\(681\) 3.52137 15.1249i 0.134939 0.579586i
\(682\) 6.23642 + 10.3983i 0.238805 + 0.398173i
\(683\) 13.1133 40.3586i 0.501766 1.54428i −0.304374 0.952553i \(-0.598447\pi\)
0.806140 0.591725i \(-0.201553\pi\)
\(684\) 12.2366 3.90382i 0.467876 0.149266i
\(685\) 34.0312 + 33.0912i 1.30026 + 1.26435i
\(686\) 0.143136 1.62082i 0.00546495 0.0618831i
\(687\) −5.66820 + 4.90889i −0.216255 + 0.187286i
\(688\) −12.1053 + 32.9244i −0.461511 + 1.25523i
\(689\) −21.0827 + 29.0178i −0.803185 + 1.10549i
\(690\) −1.90314 + 12.9653i −0.0724513 + 0.493582i
\(691\) −10.2098 14.0525i −0.388398 0.534584i 0.569387 0.822070i \(-0.307181\pi\)
−0.957785 + 0.287486i \(0.907181\pi\)
\(692\) −6.31579 + 6.07921i −0.240090 + 0.231097i
\(693\) −0.117199 0.679379i −0.00445202 0.0258075i
\(694\) 0.640681 + 2.78546i 0.0243199 + 0.105735i
\(695\) −0.814441 + 1.65533i −0.0308935 + 0.0627902i
\(696\) 7.61430 + 15.7835i 0.288619 + 0.598273i
\(697\) −10.1129 31.1243i −0.383053 1.17892i
\(698\) 7.07786 + 0.625052i 0.267901 + 0.0236586i
\(699\) 0.300320 + 3.50750i 0.0113592 + 0.132666i
\(700\) 0.135862 + 0.810917i 0.00513508 + 0.0306498i
\(701\) 42.2125i 1.59435i −0.603751 0.797173i \(-0.706328\pi\)
0.603751 0.797173i \(-0.293672\pi\)
\(702\) −34.5324 + 5.86230i −1.30334 + 0.221258i
\(703\) 18.4485 5.99427i 0.695797 0.226078i
\(704\) 8.99430 + 20.4706i 0.338985 + 0.771516i
\(705\) −5.16456 + 6.30899i −0.194509 + 0.237610i
\(706\) −12.6080 + 2.89995i −0.474507 + 0.109141i
\(707\) −0.990015 −0.0372333
\(708\) 24.3671 + 21.3315i 0.915771 + 0.801687i
\(709\) −14.8691 + 10.8030i −0.558420 + 0.405716i −0.830880 0.556451i \(-0.812163\pi\)
0.272460 + 0.962167i \(0.412163\pi\)
\(710\) −4.40836 10.5099i −0.165443 0.394429i
\(711\) −6.29429 + 12.7848i −0.236054 + 0.479466i
\(712\) 23.2925 18.7677i 0.872924 0.703349i
\(713\) −4.31391 5.93759i −0.161557 0.222365i
\(714\) −0.811596 0.00216573i −0.0303732 8.10505e-5i
\(715\) 29.3541 5.07152i 1.09778 0.189664i
\(716\) 4.50608 + 32.4465i 0.168400 + 1.21258i
\(717\) 4.77972 20.5297i 0.178502 0.766694i
\(718\) −16.1665 + 9.69588i −0.603329 + 0.361847i
\(719\) −14.8203 + 45.6122i −0.552704 + 1.70105i 0.149227 + 0.988803i \(0.452322\pi\)
−0.701931 + 0.712245i \(0.747678\pi\)
\(720\) 21.8714 15.5449i 0.815098 0.579324i
\(721\) 0.493453 + 1.51869i 0.0183771 + 0.0565590i
\(722\) 15.3771 + 13.3891i 0.572276 + 0.498292i
\(723\) −30.3254 18.2979i −1.12781 0.680505i
\(724\) −4.12083 + 7.71974i −0.153149 + 0.286902i
\(725\) −14.1697 + 10.9139i −0.526249 + 0.405332i
\(726\) −6.33055 + 4.57365i −0.234949 + 0.169744i
\(727\) −8.35057 + 11.4936i −0.309705 + 0.426273i −0.935289 0.353884i \(-0.884861\pi\)
0.625584 + 0.780157i \(0.284861\pi\)
\(728\) 0.394713 + 1.03583i 0.0146290 + 0.0383906i
\(729\) 19.8629 + 18.2884i 0.735661 + 0.677349i
\(730\) −4.13314 2.50751i −0.152974 0.0928070i
\(731\) 10.9207 33.6105i 0.403917 1.24313i
\(732\) 4.11152 9.59306i 0.151966 0.354570i
\(733\) −11.8497 + 36.4697i −0.437680 + 1.34704i 0.452636 + 0.891695i \(0.350484\pi\)
−0.890316 + 0.455344i \(0.849516\pi\)
\(734\) −33.8695 14.4094i −1.25015 0.531860i
\(735\) −14.6307 22.7931i −0.539662 0.840735i
\(736\) −6.51309 11.8638i −0.240076 0.437306i
\(737\) 21.1479 + 29.1076i 0.778992 + 1.07219i
\(738\) 33.5365 + 7.90237i 1.23449 + 0.290890i
\(739\) 9.88757 13.6091i 0.363720 0.500618i −0.587461 0.809253i \(-0.699872\pi\)
0.951180 + 0.308635i \(0.0998722\pi\)
\(740\) 32.9054 23.6525i 1.20963 0.869485i
\(741\) 11.5699 + 13.3596i 0.425032 + 0.490777i
\(742\) −0.196137 0.852738i −0.00720043 0.0313050i
\(743\) 24.3161 0.892071 0.446035 0.895015i \(-0.352836\pi\)
0.446035 + 0.895015i \(0.352836\pi\)
\(744\) −2.67323 + 14.7885i −0.0980055 + 0.542172i
\(745\) 1.00826 + 5.83584i 0.0369399 + 0.213809i
\(746\) −10.7154 9.33011i −0.392319 0.341600i
\(747\) −13.4404 25.5052i −0.491757 0.933186i
\(748\) −9.84158 20.2621i −0.359844 0.740855i
\(749\) 1.60609i 0.0586851i
\(750\) 20.1115 + 18.5884i 0.734369 + 0.678751i
\(751\) 20.5712i 0.750654i 0.926892 + 0.375327i \(0.122470\pi\)
−0.926892 + 0.375327i \(0.877530\pi\)
\(752\) 0.321341 8.41454i 0.0117181 0.306847i
\(753\) −0.212296 0.502724i −0.00773648 0.0183203i
\(754\) −15.8342 + 18.1852i −0.576649 + 0.662266i
\(755\) −5.69936 32.9880i −0.207421 1.20055i
\(756\) 0.445342 0.729245i 0.0161969 0.0265224i
\(757\) −51.6491 −1.87722 −0.938608 0.344984i \(-0.887884\pi\)
−0.938608 + 0.344984i \(0.887884\pi\)
\(758\) 28.9776 6.66511i 1.05251 0.242088i
\(759\) −8.75512 + 7.58228i −0.317791 + 0.275219i
\(760\) −12.4313 5.36351i −0.450929 0.194555i
\(761\) −16.1791 + 22.2686i −0.586492 + 0.807237i −0.994388 0.105792i \(-0.966262\pi\)
0.407897 + 0.913028i \(0.366262\pi\)
\(762\) 38.0295 + 12.4688i 1.37766 + 0.451698i
\(763\) 0.0742088 + 0.102140i 0.00268654 + 0.00369770i
\(764\) −29.4576 + 14.3080i −1.06574 + 0.517644i
\(765\) −21.4204 + 16.4899i −0.774455 + 0.596195i
\(766\) 10.3570 24.3444i 0.374215 0.879600i
\(767\) −13.7700 + 42.3798i −0.497207 + 1.53024i
\(768\) −8.32424 + 26.4331i −0.300375 + 0.953821i
\(769\) −5.61828 + 17.2913i −0.202601 + 0.623540i 0.797203 + 0.603712i \(0.206312\pi\)
−0.999803 + 0.0198288i \(0.993688\pi\)
\(770\) −0.376936 + 0.621306i −0.0135838 + 0.0223903i
\(771\) −5.26159 + 2.22192i −0.189491 + 0.0800204i
\(772\) 16.3006 + 2.90167i 0.586671 + 0.104433i
\(773\) −12.7699 + 17.5762i −0.459300 + 0.632172i −0.974363 0.224980i \(-0.927768\pi\)
0.515064 + 0.857152i \(0.327768\pi\)
\(774\) 24.2829 + 28.1907i 0.872830 + 1.01329i
\(775\) −15.3320 + 0.429477i −0.550743 + 0.0154273i
\(776\) 1.17163 + 23.4543i 0.0420589 + 0.841960i
\(777\) 0.666688 1.10491i 0.0239173 0.0396386i
\(778\) −18.7470 + 21.5304i −0.672112 + 0.771904i
\(779\) −5.37220 16.5339i −0.192479 0.592390i
\(780\) 31.5149 + 19.2348i 1.12842 + 0.688717i
\(781\) 3.11275 9.58005i 0.111383 0.342801i
\(782\) 7.01285 + 11.6929i 0.250779 + 0.418139i
\(783\) 18.5561 + 1.07592i 0.663139 + 0.0384504i
\(784\) 26.2546 + 9.65305i 0.937665 + 0.344752i
\(785\) 14.2924 2.46931i 0.510118 0.0881335i
\(786\) 37.3921 + 0.0997803i 1.33373 + 0.00355905i
\(787\) −26.7095 36.7625i −0.952093 1.31044i −0.950592 0.310444i \(-0.899522\pi\)
−0.00150096 0.999999i \(-0.500478\pi\)
\(788\) −24.1737 + 3.35717i −0.861151 + 0.119594i
\(789\) 7.07316 + 4.26784i 0.251811 + 0.151939i
\(790\) 13.8518 5.81013i 0.492827 0.206715i
\(791\) −1.04499 + 0.759228i −0.0371555 + 0.0269950i
\(792\) 23.6124 + 2.21229i 0.839029 + 0.0786103i
\(793\) 14.3610 0.509975
\(794\) 1.96629 + 8.54874i 0.0697809 + 0.303384i
\(795\) −22.5518 18.4609i −0.799828 0.654742i
\(796\) 7.68270 43.1588i 0.272306 1.52972i
\(797\) −11.5618 + 3.75666i −0.409540 + 0.133068i −0.506539 0.862217i \(-0.669076\pi\)
0.0969992 + 0.995284i \(0.469076\pi\)
\(798\) −0.431139 0.00115049i −0.0152621 4.07268e-5i
\(799\) 8.48330i 0.300118i
\(800\) −28.1479 2.77441i −0.995178 0.0980902i
\(801\) −5.39356 31.2654i −0.190572 1.10471i
\(802\) 2.55123 28.8892i 0.0900872 1.02011i
\(803\) −1.32034 4.06360i −0.0465939 0.143401i
\(804\) −4.04131 + 44.4096i −0.142526 + 1.56621i
\(805\) 0.194190 0.394685i 0.00684430 0.0139108i
\(806\) −20.1521 + 4.63516i −0.709827 + 0.163267i
\(807\) 0.236451 + 2.76156i 0.00832345 + 0.0972114i
\(808\) 8.89495 32.8743i 0.312923 1.15651i
\(809\) −10.2546 14.1143i −0.360534 0.496233i 0.589763 0.807576i \(-0.299221\pi\)
−0.950297 + 0.311343i \(0.899221\pi\)
\(810\) −3.13837 28.2869i −0.110271 0.993902i
\(811\) 13.9942 19.2614i 0.491404 0.676359i −0.489242 0.872148i \(-0.662727\pi\)
0.980646 + 0.195789i \(0.0627267\pi\)
\(812\) −0.0809157 0.582642i −0.00283958 0.0204467i
\(813\) −21.6628 25.0136i −0.759747 0.877267i
\(814\) 35.6778 + 3.15074i 1.25051 + 0.110433i
\(815\) 34.0816 + 33.1402i 1.19383 + 1.16085i
\(816\) 7.36383 26.9303i 0.257785 0.942748i
\(817\) 5.80133 17.8547i 0.202963 0.624656i
\(818\) −3.03321 + 1.81917i −0.106054 + 0.0636057i
\(819\) 1.16367 + 0.167943i 0.0406621 + 0.00586840i
\(820\) −21.1980 29.4905i −0.740265 1.02985i
\(821\) −0.644797 + 0.209507i −0.0225036 + 0.00731186i −0.320247 0.947334i \(-0.603766\pi\)
0.297744 + 0.954646i \(0.403766\pi\)
\(822\) −30.6757 + 41.9855i −1.06994 + 1.46441i
\(823\) 21.0254 28.9390i 0.732899 1.00875i −0.266097 0.963946i \(-0.585734\pi\)
0.998996 0.0448028i \(-0.0142659\pi\)
\(824\) −54.8630 + 2.74060i −1.91124 + 0.0954735i
\(825\) 2.73939 + 24.0493i 0.0953732 + 0.837289i
\(826\) −0.559120 0.932254i −0.0194543 0.0324372i
\(827\) −16.3488 11.8781i −0.568503 0.413042i 0.266058 0.963957i \(-0.414279\pi\)
−0.834561 + 0.550915i \(0.814279\pi\)
\(828\) −14.3548 0.0766119i −0.498864 0.00266245i
\(829\) 16.8061 + 51.7237i 0.583698 + 1.79644i 0.604436 + 0.796654i \(0.293399\pi\)
−0.0207372 + 0.999785i \(0.506601\pi\)
\(830\) −6.96238 + 29.5810i −0.241668 + 1.02677i
\(831\) −11.3154 + 48.6016i −0.392528 + 1.68597i
\(832\) −37.9421 + 3.80017i −1.31541 + 0.131747i
\(833\) −26.8017 8.70841i −0.928625 0.301728i
\(834\) −1.92033 0.629625i −0.0664957 0.0218021i
\(835\) −6.42047 + 44.5675i −0.222189 + 1.54232i
\(836\) −5.22808 10.7637i −0.180817 0.372270i
\(837\) 12.3316 + 10.0999i 0.426242 + 0.349104i
\(838\) −8.50141 + 19.9827i −0.293676 + 0.690292i
\(839\) 12.8692 + 9.35003i 0.444295 + 0.322799i 0.787339 0.616520i \(-0.211458\pi\)
−0.343044 + 0.939319i \(0.611458\pi\)
\(840\) −0.858745 + 0.271682i −0.0296295 + 0.00937392i
\(841\) −13.1095 + 9.52463i −0.452053 + 0.328436i
\(842\) −5.92600 25.7642i −0.204223 0.887893i
\(843\) −2.23784 26.1362i −0.0770753 0.900178i
\(844\) −0.915126 + 0.880845i −0.0314999 + 0.0303199i
\(845\) −3.09896 + 21.5113i −0.106607 + 0.740012i
\(846\) −7.63489 4.63461i −0.262493 0.159341i
\(847\) 0.249323 0.0810099i 0.00856684 0.00278353i
\(848\) 30.0781 + 1.14865i 1.03289 + 0.0394448i
\(849\) −1.08758 12.7021i −0.0373258 0.435936i
\(850\) 28.4432 + 1.71087i 0.975594 + 0.0586823i
\(851\) −21.6796 −0.743167
\(852\) 10.7239 6.39281i 0.367394 0.219014i
\(853\) −8.54065 26.2854i −0.292426 0.899995i −0.984074 0.177760i \(-0.943115\pi\)
0.691648 0.722235i \(-0.256885\pi\)
\(854\) −0.230059 + 0.264217i −0.00787245 + 0.00904131i
\(855\) −11.3790 + 8.75984i −0.389153 + 0.299580i
\(856\) −53.3315 14.4301i −1.82283 0.493212i
\(857\) 3.52202i 0.120310i −0.998189 0.0601549i \(-0.980841\pi\)
0.998189 0.0601549i \(-0.0191595\pi\)
\(858\) 10.0010 + 31.0618i 0.341430 + 1.06043i
\(859\) −16.6207 22.8764i −0.567091 0.780533i 0.425116 0.905139i \(-0.360233\pi\)
−0.992206 + 0.124606i \(0.960233\pi\)
\(860\) 0.199350 39.2193i 0.00679779 1.33737i
\(861\) −0.990249 0.597501i −0.0337476 0.0203628i
\(862\) −5.48065 + 12.8824i −0.186672 + 0.438775i
\(863\) 25.3803 18.4398i 0.863954 0.627699i −0.0650037 0.997885i \(-0.520706\pi\)
0.928958 + 0.370186i \(0.120706\pi\)
\(864\) 20.2140 + 21.3400i 0.687694 + 0.726001i
\(865\) 4.32680 8.79410i 0.147116 0.299009i
\(866\) 3.46118 8.13557i 0.117616 0.276458i
\(867\) 0.298934 1.28397i 0.0101523 0.0436059i
\(868\) 0.237551 0.445016i 0.00806302 0.0151048i
\(869\) 12.6263 + 4.10254i 0.428319 + 0.139169i
\(870\) −14.0102 13.6962i −0.474991 0.464344i
\(871\) −58.3556 + 18.9609i −1.97730 + 0.642465i
\(872\) −4.05838 + 1.54648i −0.137434 + 0.0523704i
\(873\) 22.3466 + 11.0018i 0.756318 + 0.372356i
\(874\) 3.72539 + 6.21156i 0.126013 + 0.210109i
\(875\) −0.451368 0.800826i −0.0152590 0.0270729i
\(876\) 2.08617 4.86749i 0.0704852 0.164457i
\(877\) 8.12642 + 5.90419i 0.274410 + 0.199370i 0.716475 0.697612i \(-0.245754\pi\)
−0.442066 + 0.896983i \(0.645754\pi\)
\(878\) −19.3454 + 22.2177i −0.652875 + 0.749810i
\(879\) 16.3157 6.88994i 0.550313 0.232392i
\(880\) −17.2444 18.0987i −0.581307 0.610107i
\(881\) 16.8622 + 5.47887i 0.568102 + 0.184588i 0.578964 0.815353i \(-0.303457\pi\)
−0.0108612 + 0.999941i \(0.503457\pi\)
\(882\) 22.4799 19.3637i 0.756936 0.652010i
\(883\) −40.4287 13.1361i −1.36053 0.442065i −0.464313 0.885671i \(-0.653699\pi\)
−0.896222 + 0.443607i \(0.853699\pi\)
\(884\) 38.0504 5.28433i 1.27977 0.177731i
\(885\) −33.7333 13.1547i −1.13393 0.442191i
\(886\) 23.4057 + 2.06698i 0.786331 + 0.0694416i
\(887\) 22.9236 16.6550i 0.769700 0.559220i −0.132170 0.991227i \(-0.542194\pi\)
0.901870 + 0.432007i \(0.142194\pi\)
\(888\) 30.6997 + 32.0652i 1.03021 + 1.07604i
\(889\) −1.08683 0.789629i −0.0364512 0.0264833i
\(890\) −17.3468 + 28.5928i −0.581465 + 0.958433i
\(891\) 14.2203 20.7491i 0.476398 0.695121i
\(892\) 12.7839 12.3050i 0.428038 0.412003i
\(893\) 4.50653i 0.150805i
\(894\) −6.17536 + 1.98829i −0.206535 + 0.0664985i
\(895\) −17.0824 32.3966i −0.571003 1.08290i
\(896\) 0.537904 0.758944i 0.0179701 0.0253545i
\(897\) −7.68405 18.1961i −0.256563 0.607551i
\(898\) −0.781748 + 8.85223i −0.0260873 + 0.295403i
\(899\) 10.9732 0.365976
\(900\) −17.0789 + 24.6639i −0.569297 + 0.822132i
\(901\) −30.3239 −1.01024
\(902\) 2.82376 31.9752i 0.0940210 1.06466i
\(903\) −0.485866 1.15055i −0.0161686 0.0382879i
\(904\) −15.8220 41.5211i −0.526231 1.38097i
\(905\) 1.39505 9.68366i 0.0463729 0.321896i
\(906\) 34.9071 11.2391i 1.15971 0.373395i
\(907\) 12.5127i 0.415478i −0.978184 0.207739i \(-0.933390\pi\)
0.978184 0.207739i \(-0.0666104\pi\)
\(908\) −12.4354 12.9193i −0.412683 0.428744i
\(909\) −25.8911 25.1888i −0.858752 0.835458i
\(910\) −0.809075 0.938795i −0.0268206 0.0311207i
\(911\) 26.6278 + 19.3462i 0.882219 + 0.640970i 0.933838 0.357697i \(-0.116438\pi\)
−0.0516184 + 0.998667i \(0.516438\pi\)
\(912\) 3.91184 14.3060i 0.129534 0.473719i
\(913\) −21.7295 + 15.7874i −0.719140 + 0.522486i
\(914\) −51.1206 4.51451i −1.69092 0.149327i
\(915\) −0.672500 + 11.6496i −0.0222322 + 0.385122i
\(916\) 1.19102 + 8.57607i 0.0393524 + 0.283361i
\(917\) −1.19371 0.387861i −0.0394198 0.0128083i
\(918\) −21.1699 20.7059i −0.698711 0.683397i
\(919\) 25.1738 + 8.17948i 0.830409 + 0.269816i 0.693217 0.720729i \(-0.256193\pi\)
0.137191 + 0.990545i \(0.456193\pi\)
\(920\) 11.3611 + 9.99436i 0.374566 + 0.329504i
\(921\) 11.9174 5.03262i 0.392693 0.165830i
\(922\) −27.2392 + 31.2835i −0.897074 + 1.03027i
\(923\) 13.8978 + 10.0974i 0.457453 + 0.332359i
\(924\) −0.731695 0.313599i −0.0240710 0.0103167i
\(925\) −25.5942 + 37.3858i −0.841532 + 1.22924i
\(926\) −14.5783 24.3073i −0.479074 0.798789i
\(927\) −25.7349 + 52.2719i −0.845245 + 1.71684i
\(928\) 20.0741 + 2.54797i 0.658966 + 0.0836411i
\(929\) 16.3510 5.31275i 0.536458 0.174306i −0.0282436 0.999601i \(-0.508991\pi\)
0.564701 + 0.825295i \(0.308991\pi\)
\(930\) −2.81632 16.5643i −0.0923509 0.543164i
\(931\) −14.2377 4.62611i −0.466622 0.151615i
\(932\) 3.58601 + 1.91423i 0.117464 + 0.0627026i
\(933\) −0.771322 + 3.31295i −0.0252520 + 0.108461i
\(934\) 8.25482 19.4031i 0.270106 0.634889i
\(935\) 18.0558 + 17.5571i 0.590486 + 0.574177i
\(936\) −16.0319 + 37.1319i −0.524019 + 1.21369i
\(937\) −33.1311 + 24.0711i −1.08234 + 0.786369i −0.978090 0.208182i \(-0.933246\pi\)
−0.104254 + 0.994551i \(0.533246\pi\)
\(938\) 0.585992 1.37738i 0.0191333 0.0449732i
\(939\) 13.9486 + 8.41638i 0.455196 + 0.274658i
\(940\) 2.86372 + 8.96849i 0.0934043 + 0.292520i
\(941\) −10.9977 15.1370i −0.358515 0.493454i 0.591219 0.806511i \(-0.298647\pi\)
−0.949734 + 0.313057i \(0.898647\pi\)
\(942\) 4.86948 + 15.1239i 0.158656 + 0.492764i
\(943\) 19.4298i 0.632720i
\(944\) 35.9798 10.1901i 1.17104 0.331659i
\(945\) −0.190727 + 0.936100i −0.00620434 + 0.0304513i
\(946\) 22.7628 26.1425i 0.740084 0.849967i
\(947\) 3.26868 + 10.0599i 0.106218 + 0.326904i 0.990014 0.140967i \(-0.0450211\pi\)
−0.883797 + 0.467871i \(0.845021\pi\)
\(948\) 8.42560 + 14.1339i 0.273651 + 0.459047i
\(949\) 7.28673 0.236537
\(950\) 15.1097 + 0.908854i 0.490224 + 0.0294871i
\(951\) 2.44945 + 28.6076i 0.0794288 + 0.927665i
\(952\) −0.512333 + 0.784711i −0.0166048 + 0.0254326i
\(953\) −34.4460 + 11.1922i −1.11581 + 0.362550i −0.808169 0.588951i \(-0.799541\pi\)
−0.307645 + 0.951501i \(0.599541\pi\)
\(954\) 16.5666 27.2913i 0.536365 0.883587i
\(955\) 25.5249 26.2499i 0.825968 0.849428i
\(956\) −16.8791 17.5360i −0.545910 0.567156i
\(957\) −1.47729 17.2535i −0.0477539 0.557727i
\(958\) −0.873192 3.79634i −0.0282116 0.122654i
\(959\) 1.41207 1.02593i 0.0455980 0.0331289i
\(960\) −1.30591 30.9563i −0.0421482 0.999111i
\(961\) −17.4665 12.6901i −0.563435 0.409360i
\(962\) −23.9125 + 56.2068i −0.770970 + 1.81218i
\(963\) −40.8633 + 42.0027i −1.31680 + 1.35352i
\(964\) −36.7874 + 17.8682i −1.18484 + 0.575495i
\(965\) −18.2409 + 3.15149i −0.587195 + 0.101450i
\(966\) 0.457872 + 0.150124i 0.0147318 + 0.00483015i
\(967\) −5.22806 1.69870i −0.168123 0.0546265i 0.223746 0.974647i \(-0.428171\pi\)
−0.391869 + 0.920021i \(0.628171\pi\)
\(968\) 0.449924 + 9.00683i 0.0144611 + 0.289491i
\(969\) −3.38807 + 14.5523i −0.108840 + 0.467487i
\(970\) −10.1556 24.2118i −0.326076 0.777393i
\(971\) 4.59684 + 14.1476i 0.147520 + 0.454019i 0.997326 0.0730755i \(-0.0232814\pi\)
−0.849807 + 0.527094i \(0.823281\pi\)
\(972\) 30.2007 7.74062i 0.968688 0.248280i
\(973\) 0.0548805 + 0.0398730i 0.00175939 + 0.00127827i
\(974\) −18.0400 30.0791i −0.578037 0.963796i
\(975\) −40.4501 8.23086i −1.29544 0.263598i
\(976\) −6.70655 10.0132i −0.214671 0.320515i
\(977\) −20.0258 + 27.5632i −0.640683 + 0.881825i −0.998652 0.0519089i \(-0.983469\pi\)
0.357969 + 0.933734i \(0.383469\pi\)
\(978\) −30.7212 + 42.0476i −0.982355 + 1.34454i
\(979\) −28.1117 + 9.13405i −0.898454 + 0.291925i
\(980\) −31.2743 0.158966i −0.999021 0.00507799i
\(981\) −0.657997 + 4.55926i −0.0210082 + 0.145566i
\(982\) −18.3261 + 10.9911i −0.584809 + 0.350740i
\(983\) −11.8913 + 36.5975i −0.379272 + 1.16728i 0.561278 + 0.827627i \(0.310310\pi\)
−0.940551 + 0.339653i \(0.889690\pi\)
\(984\) 28.7376 27.5137i 0.916121 0.877106i
\(985\) 24.1365 12.7269i 0.769053 0.405514i
\(986\) −20.3067 1.79330i −0.646696 0.0571103i
\(987\) 0.196269 + 0.226628i 0.00624730 + 0.00721364i
\(988\) 20.2132 2.80716i 0.643069 0.0893076i
\(989\) −12.3328 + 16.9746i −0.392160 + 0.539762i
\(990\) −25.6654 + 6.65820i −0.815702 + 0.211612i
\(991\) 16.2543 + 22.3721i 0.516335 + 0.710674i 0.984972 0.172717i \(-0.0552545\pi\)
−0.468636 + 0.883391i \(0.655255\pi\)
\(992\) 12.6428 + 11.8864i 0.401410 + 0.377394i
\(993\) 3.26621 + 38.1467i 0.103650 + 1.21055i
\(994\) −0.408412 + 0.0939384i −0.0129540 + 0.00297955i
\(995\) 8.34414 + 48.2960i 0.264527 + 1.53109i
\(996\) −33.1528 3.01693i −1.05049 0.0955951i
\(997\) 4.70023 + 14.4658i 0.148858 + 0.458137i 0.997487 0.0708511i \(-0.0225715\pi\)
−0.848629 + 0.528988i \(0.822572\pi\)
\(998\) 3.80308 43.0646i 0.120384 1.36319i
\(999\) 45.5475 11.9335i 1.44106 0.377559i
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 300.2.n.a.191.1 yes 224
3.2 odd 2 inner 300.2.n.a.191.56 yes 224
4.3 odd 2 inner 300.2.n.a.191.34 yes 224
12.11 even 2 inner 300.2.n.a.191.23 yes 224
25.11 even 5 inner 300.2.n.a.11.23 yes 224
75.11 odd 10 inner 300.2.n.a.11.34 yes 224
100.11 odd 10 inner 300.2.n.a.11.56 yes 224
300.11 even 10 inner 300.2.n.a.11.1 224
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
300.2.n.a.11.1 224 300.11 even 10 inner
300.2.n.a.11.23 yes 224 25.11 even 5 inner
300.2.n.a.11.34 yes 224 75.11 odd 10 inner
300.2.n.a.11.56 yes 224 100.11 odd 10 inner
300.2.n.a.191.1 yes 224 1.1 even 1 trivial
300.2.n.a.191.23 yes 224 12.11 even 2 inner
300.2.n.a.191.34 yes 224 4.3 odd 2 inner
300.2.n.a.191.56 yes 224 3.2 odd 2 inner