Properties

Label 280.2.br.a.107.43
Level $280$
Weight $2$
Character 280.107
Analytic conductor $2.236$
Analytic rank $0$
Dimension $176$
CM no
Inner twists $8$

Related objects

Downloads

Learn more

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [280,2,Mod(67,280)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(280, base_ring=CyclotomicField(12))
 
chi = DirichletCharacter(H, H._module([6, 6, 3, 8]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("280.67");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 280 = 2^{3} \cdot 5 \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 280.br (of order \(12\), 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: \(2.23581125660\)
Analytic rank: \(0\)
Dimension: \(176\)
Relative dimension: \(44\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 107.43
Character \(\chi\) \(=\) 280.107
Dual form 280.2.br.a.123.43

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(1.38436 + 0.289031i) q^{2} +(-1.63560 - 0.438259i) q^{3} +(1.83292 + 0.800248i) q^{4} +(-1.55370 + 1.60811i) q^{5} +(-2.13760 - 1.07945i) q^{6} +(2.49314 + 0.885584i) q^{7} +(2.30613 + 1.63760i) q^{8} +(-0.114945 - 0.0663635i) q^{9} +O(q^{10})\) \(q+(1.38436 + 0.289031i) q^{2} +(-1.63560 - 0.438259i) q^{3} +(1.83292 + 0.800248i) q^{4} +(-1.55370 + 1.60811i) q^{5} +(-2.13760 - 1.07945i) q^{6} +(2.49314 + 0.885584i) q^{7} +(2.30613 + 1.63760i) q^{8} +(-0.114945 - 0.0663635i) q^{9} +(-2.61568 + 1.77714i) q^{10} +(2.94194 + 5.09559i) q^{11} +(-2.64722 - 2.11218i) q^{12} +(1.49331 + 1.49331i) q^{13} +(3.19545 + 1.94656i) q^{14} +(3.24601 - 1.94931i) q^{15} +(2.71921 + 2.93358i) q^{16} +(1.45569 - 5.43270i) q^{17} +(-0.139944 - 0.125094i) q^{18} +(-3.10041 - 1.79002i) q^{19} +(-4.13470 + 1.70419i) q^{20} +(-3.68967 - 2.54111i) q^{21} +(2.59993 + 7.90446i) q^{22} +(-2.49897 + 0.669597i) q^{23} +(-3.05423 - 3.68916i) q^{24} +(-0.172032 - 4.99704i) q^{25} +(1.63567 + 2.49889i) q^{26} +(3.75096 + 3.75096i) q^{27} +(3.86104 + 3.61834i) q^{28} -6.02158 q^{29} +(5.05706 - 1.76035i) q^{30} +(-1.05541 + 0.609340i) q^{31} +(2.91647 + 4.84708i) q^{32} +(-2.57866 - 9.62371i) q^{33} +(3.58542 - 7.10009i) q^{34} +(-5.29771 + 2.63331i) q^{35} +(-0.157578 - 0.213623i) q^{36} +(-2.68783 - 10.0311i) q^{37} +(-3.77472 - 3.37415i) q^{38} +(-1.78801 - 3.09692i) q^{39} +(-6.21649 + 1.16417i) q^{40} +2.44353 q^{41} +(-4.37339 - 4.58424i) q^{42} +(7.70492 - 7.70492i) q^{43} +(1.31461 + 11.6941i) q^{44} +(0.285310 - 0.0817351i) q^{45} +(-3.65302 + 0.204686i) q^{46} +(1.11455 + 4.15954i) q^{47} +(-3.16188 - 5.98990i) q^{48} +(5.43148 + 4.41577i) q^{49} +(1.20614 - 6.96744i) q^{50} +(-4.76186 + 8.24778i) q^{51} +(1.54210 + 3.93214i) q^{52} +(1.25540 - 4.68522i) q^{53} +(4.10854 + 6.27683i) q^{54} +(-12.7652 - 3.18606i) q^{55} +(4.29927 + 6.12505i) q^{56} +(4.28655 + 4.28655i) q^{57} +(-8.33605 - 1.74042i) q^{58} +(-2.51456 + 1.45178i) q^{59} +(7.50961 - 0.975321i) q^{60} +(-6.34457 - 3.66304i) q^{61} +(-1.63719 + 0.538502i) q^{62} +(-0.227803 - 0.267247i) q^{63} +(2.63650 + 7.55307i) q^{64} +(-4.72156 + 0.0812498i) q^{65} +(-0.788259 - 14.0680i) q^{66} +(2.21674 - 8.27299i) q^{67} +(7.01567 - 8.79280i) q^{68} +4.38078 q^{69} +(-8.09506 + 2.11425i) q^{70} +2.68611i q^{71} +(-0.156401 - 0.341277i) q^{72} +(-1.49608 - 0.400874i) q^{73} +(-0.821628 - 14.6636i) q^{74} +(-1.90862 + 8.24858i) q^{75} +(-4.25035 - 5.76206i) q^{76} +(2.82209 + 15.3094i) q^{77} +(-1.58015 - 4.80405i) q^{78} +(1.03331 - 1.78974i) q^{79} +(-8.94236 - 0.185125i) q^{80} +(-4.29210 - 7.43414i) q^{81} +(3.38273 + 0.706255i) q^{82} +(-0.700162 + 0.700162i) q^{83} +(-4.72937 - 7.61030i) q^{84} +(6.47467 + 10.7817i) q^{85} +(12.8934 - 8.43945i) q^{86} +(9.84893 + 2.63901i) q^{87} +(-1.56005 + 16.5689i) q^{88} +(3.21668 + 1.85715i) q^{89} +(0.418596 - 0.0306877i) q^{90} +(2.40058 + 5.04548i) q^{91} +(-5.11626 - 0.772475i) q^{92} +(1.99328 - 0.534098i) q^{93} +(0.340700 + 6.08046i) q^{94} +(7.69565 - 2.20464i) q^{95} +(-2.64592 - 9.20608i) q^{96} +(2.71232 + 2.71232i) q^{97} +(6.24285 + 7.68289i) q^{98} -0.780950i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 176 q - 2 q^{2} - 4 q^{3} - 16 q^{6} - 20 q^{8}+O(q^{10}) \) Copy content Toggle raw display \( 176 q - 2 q^{2} - 4 q^{3} - 16 q^{6} - 20 q^{8} - 2 q^{10} - 8 q^{11} - 14 q^{12} + 4 q^{16} - 4 q^{17} - 16 q^{18} + 8 q^{20} - 4 q^{25} - 20 q^{26} - 40 q^{27} - 34 q^{28} - 12 q^{30} + 18 q^{32} + 20 q^{33} - 32 q^{35} - 48 q^{36} - 16 q^{38} - 22 q^{40} - 32 q^{41} + 30 q^{42} - 16 q^{43} + 20 q^{46} + 36 q^{48} + 68 q^{50} - 8 q^{51} - 32 q^{52} - 52 q^{56} - 40 q^{57} - 14 q^{58} - 50 q^{60} + 56 q^{62} - 4 q^{65} - 60 q^{66} - 28 q^{67} - 40 q^{68} + 64 q^{70} - 48 q^{72} - 4 q^{73} - 4 q^{75} - 144 q^{76} + 184 q^{78} - 40 q^{80} + 32 q^{81} + 74 q^{82} - 16 q^{83} - 56 q^{86} - 64 q^{88} - 56 q^{90} + 16 q^{91} + 44 q^{92} - 104 q^{96} - 48 q^{97} + 70 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/280\mathbb{Z}\right)^\times\).

\(n\) \(57\) \(71\) \(141\) \(241\)
\(\chi(n)\) \(e\left(\frac{1}{4}\right)\) \(-1\) \(-1\) \(e\left(\frac{1}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.38436 + 0.289031i 0.978893 + 0.204376i
\(3\) −1.63560 0.438259i −0.944317 0.253029i −0.246368 0.969176i \(-0.579237\pi\)
−0.697949 + 0.716148i \(0.745904\pi\)
\(4\) 1.83292 + 0.800248i 0.916461 + 0.400124i
\(5\) −1.55370 + 1.60811i −0.694836 + 0.719168i
\(6\) −2.13760 1.07945i −0.872672 0.440684i
\(7\) 2.49314 + 0.885584i 0.942318 + 0.334719i
\(8\) 2.30613 + 1.63760i 0.815341 + 0.578981i
\(9\) −0.114945 0.0663635i −0.0383150 0.0221212i
\(10\) −2.61568 + 1.77714i −0.827150 + 0.561981i
\(11\) 2.94194 + 5.09559i 0.887029 + 1.53638i 0.843371 + 0.537332i \(0.180568\pi\)
0.0436583 + 0.999047i \(0.486099\pi\)
\(12\) −2.64722 2.11218i −0.764187 0.609735i
\(13\) 1.49331 + 1.49331i 0.414169 + 0.414169i 0.883188 0.469019i \(-0.155392\pi\)
−0.469019 + 0.883188i \(0.655392\pi\)
\(14\) 3.19545 + 1.94656i 0.854019 + 0.520241i
\(15\) 3.24601 1.94931i 0.838115 0.503309i
\(16\) 2.71921 + 2.93358i 0.679802 + 0.733396i
\(17\) 1.45569 5.43270i 0.353056 1.31762i −0.529857 0.848087i \(-0.677754\pi\)
0.882913 0.469536i \(-0.155579\pi\)
\(18\) −0.139944 0.125094i −0.0329852 0.0294849i
\(19\) −3.10041 1.79002i −0.711282 0.410659i 0.100253 0.994962i \(-0.468035\pi\)
−0.811536 + 0.584303i \(0.801368\pi\)
\(20\) −4.13470 + 1.70419i −0.924546 + 0.381070i
\(21\) −3.68967 2.54111i −0.805153 0.554515i
\(22\) 2.59993 + 7.90446i 0.554307 + 1.68524i
\(23\) −2.49897 + 0.669597i −0.521071 + 0.139621i −0.509762 0.860315i \(-0.670267\pi\)
−0.0113092 + 0.999936i \(0.503600\pi\)
\(24\) −3.05423 3.68916i −0.623442 0.753046i
\(25\) −0.172032 4.99704i −0.0344063 0.999408i
\(26\) 1.63567 + 2.49889i 0.320781 + 0.490074i
\(27\) 3.75096 + 3.75096i 0.721872 + 0.721872i
\(28\) 3.86104 + 3.61834i 0.729668 + 0.683801i
\(29\) −6.02158 −1.11818 −0.559090 0.829107i \(-0.688849\pi\)
−0.559090 + 0.829107i \(0.688849\pi\)
\(30\) 5.05706 1.76035i 0.923289 0.321395i
\(31\) −1.05541 + 0.609340i −0.189557 + 0.109441i −0.591775 0.806103i \(-0.701573\pi\)
0.402218 + 0.915544i \(0.368239\pi\)
\(32\) 2.91647 + 4.84708i 0.515565 + 0.856851i
\(33\) −2.57866 9.62371i −0.448888 1.67527i
\(34\) 3.58542 7.10009i 0.614894 1.21766i
\(35\) −5.29771 + 2.63331i −0.895476 + 0.445110i
\(36\) −0.157578 0.213623i −0.0262630 0.0356039i
\(37\) −2.68783 10.0311i −0.441876 1.64910i −0.724055 0.689742i \(-0.757724\pi\)
0.282180 0.959362i \(-0.408943\pi\)
\(38\) −3.77472 3.37415i −0.612340 0.547360i
\(39\) −1.78801 3.09692i −0.286310 0.495904i
\(40\) −6.21649 + 1.16417i −0.982913 + 0.184071i
\(41\) 2.44353 0.381615 0.190807 0.981627i \(-0.438889\pi\)
0.190807 + 0.981627i \(0.438889\pi\)
\(42\) −4.37339 4.58424i −0.674829 0.707364i
\(43\) 7.70492 7.70492i 1.17499 1.17499i 0.193985 0.981005i \(-0.437859\pi\)
0.981005 0.193985i \(-0.0621412\pi\)
\(44\) 1.31461 + 11.6941i 0.198186 + 1.76295i
\(45\) 0.285310 0.0817351i 0.0425315 0.0121843i
\(46\) −3.65302 + 0.204686i −0.538608 + 0.0301792i
\(47\) 1.11455 + 4.15954i 0.162573 + 0.606732i 0.998337 + 0.0576429i \(0.0183585\pi\)
−0.835764 + 0.549089i \(0.814975\pi\)
\(48\) −3.16188 5.98990i −0.456378 0.864567i
\(49\) 5.43148 + 4.41577i 0.775926 + 0.630824i
\(50\) 1.20614 6.96744i 0.170575 0.985345i
\(51\) −4.76186 + 8.24778i −0.666793 + 1.15492i
\(52\) 1.54210 + 3.93214i 0.213851 + 0.545289i
\(53\) 1.25540 4.68522i 0.172442 0.643564i −0.824531 0.565817i \(-0.808561\pi\)
0.996973 0.0777467i \(-0.0247725\pi\)
\(54\) 4.10854 + 6.27683i 0.559102 + 0.854168i
\(55\) −12.7652 3.18606i −1.72125 0.429608i
\(56\) 4.29927 + 6.12505i 0.574515 + 0.818494i
\(57\) 4.28655 + 4.28655i 0.567767 + 0.567767i
\(58\) −8.33605 1.74042i −1.09458 0.228529i
\(59\) −2.51456 + 1.45178i −0.327368 + 0.189006i −0.654672 0.755913i \(-0.727193\pi\)
0.327304 + 0.944919i \(0.393860\pi\)
\(60\) 7.50961 0.975321i 0.969486 0.125913i
\(61\) −6.34457 3.66304i −0.812339 0.469004i 0.0354283 0.999372i \(-0.488720\pi\)
−0.847768 + 0.530368i \(0.822054\pi\)
\(62\) −1.63719 + 0.538502i −0.207923 + 0.0683899i
\(63\) −0.227803 0.267247i −0.0287005 0.0336699i
\(64\) 2.63650 + 7.55307i 0.329563 + 0.944134i
\(65\) −4.72156 + 0.0812498i −0.585637 + 0.0100778i
\(66\) −0.788259 14.0680i −0.0970279 1.73165i
\(67\) 2.21674 8.27299i 0.270818 1.01071i −0.687775 0.725924i \(-0.741412\pi\)
0.958592 0.284782i \(-0.0919211\pi\)
\(68\) 7.01567 8.79280i 0.850774 1.06628i
\(69\) 4.38078 0.527384
\(70\) −8.09506 + 2.11425i −0.967544 + 0.252701i
\(71\) 2.68611i 0.318782i 0.987216 + 0.159391i \(0.0509531\pi\)
−0.987216 + 0.159391i \(0.949047\pi\)
\(72\) −0.156401 0.341277i −0.0184321 0.0402199i
\(73\) −1.49608 0.400874i −0.175103 0.0469188i 0.170202 0.985409i \(-0.445558\pi\)
−0.345305 + 0.938490i \(0.612225\pi\)
\(74\) −0.821628 14.6636i −0.0955123 1.70460i
\(75\) −1.90862 + 8.24858i −0.220389 + 0.952463i
\(76\) −4.25035 5.76206i −0.487548 0.660954i
\(77\) 2.82209 + 15.3094i 0.321607 + 1.74466i
\(78\) −1.58015 4.80405i −0.178916 0.543952i
\(79\) 1.03331 1.78974i 0.116256 0.201361i −0.802025 0.597290i \(-0.796244\pi\)
0.918281 + 0.395929i \(0.129577\pi\)
\(80\) −8.94236 0.185125i −0.999786 0.0206976i
\(81\) −4.29210 7.43414i −0.476900 0.826015i
\(82\) 3.38273 + 0.706255i 0.373560 + 0.0779928i
\(83\) −0.700162 + 0.700162i −0.0768527 + 0.0768527i −0.744488 0.667636i \(-0.767306\pi\)
0.667636 + 0.744488i \(0.267306\pi\)
\(84\) −4.72937 7.61030i −0.516017 0.830352i
\(85\) 6.47467 + 10.7817i 0.702277 + 1.16944i
\(86\) 12.8934 8.43945i 1.39033 0.910049i
\(87\) 9.84893 + 2.63901i 1.05592 + 0.282932i
\(88\) −1.56005 + 16.5689i −0.166302 + 1.76625i
\(89\) 3.21668 + 1.85715i 0.340968 + 0.196858i 0.660700 0.750650i \(-0.270260\pi\)
−0.319732 + 0.947508i \(0.603593\pi\)
\(90\) 0.418596 0.0306877i 0.0441239 0.00323476i
\(91\) 2.40058 + 5.04548i 0.251649 + 0.528910i
\(92\) −5.11626 0.772475i −0.533407 0.0805361i
\(93\) 1.99328 0.534098i 0.206693 0.0553833i
\(94\) 0.340700 + 6.08046i 0.0351405 + 0.627151i
\(95\) 7.69565 2.20464i 0.789557 0.226191i
\(96\) −2.64592 9.20608i −0.270048 0.939591i
\(97\) 2.71232 + 2.71232i 0.275394 + 0.275394i 0.831267 0.555873i \(-0.187616\pi\)
−0.555873 + 0.831267i \(0.687616\pi\)
\(98\) 6.24285 + 7.68289i 0.630623 + 0.776089i
\(99\) 0.780950i 0.0784884i
\(100\) 3.68355 9.29685i 0.368355 0.929685i
\(101\) 2.82950 1.63361i 0.281546 0.162550i −0.352577 0.935783i \(-0.614695\pi\)
0.634123 + 0.773232i \(0.281361\pi\)
\(102\) −8.97600 + 10.0416i −0.888757 + 0.994266i
\(103\) 16.2958 4.36644i 1.60567 0.430238i 0.658922 0.752211i \(-0.271013\pi\)
0.946749 + 0.321973i \(0.104346\pi\)
\(104\) 0.998321 + 5.88922i 0.0978934 + 0.577486i
\(105\) 9.81902 1.98528i 0.958239 0.193744i
\(106\) 3.09210 6.12319i 0.300331 0.594737i
\(107\) −11.8115 + 3.16489i −1.14186 + 0.305962i −0.779700 0.626153i \(-0.784629\pi\)
−0.362164 + 0.932114i \(0.617962\pi\)
\(108\) 3.87352 + 9.87691i 0.372729 + 0.950406i
\(109\) 0.360683 + 0.624720i 0.0345471 + 0.0598374i 0.882782 0.469783i \(-0.155668\pi\)
−0.848235 + 0.529620i \(0.822334\pi\)
\(110\) −16.7508 8.10019i −1.59712 0.772323i
\(111\) 17.5849i 1.66908i
\(112\) 4.18143 + 9.72192i 0.395108 + 0.918635i
\(113\) −2.98437 + 2.98437i −0.280746 + 0.280746i −0.833406 0.552661i \(-0.813613\pi\)
0.552661 + 0.833406i \(0.313613\pi\)
\(114\) 4.69519 + 7.17308i 0.439745 + 0.671821i
\(115\) 2.80586 5.05897i 0.261648 0.471751i
\(116\) −11.0371 4.81876i −1.02477 0.447410i
\(117\) −0.0725471 0.270749i −0.00670698 0.0250308i
\(118\) −3.90067 + 1.28301i −0.359086 + 0.118110i
\(119\) 8.44034 12.2553i 0.773725 1.12344i
\(120\) 10.6779 + 0.820311i 0.974756 + 0.0748838i
\(121\) −11.8100 + 20.4556i −1.07364 + 1.85960i
\(122\) −7.72446 6.90476i −0.699340 0.625127i
\(123\) −3.99664 1.07090i −0.360365 0.0965596i
\(124\) −2.42210 + 0.272285i −0.217511 + 0.0244519i
\(125\) 8.30307 + 7.48726i 0.742649 + 0.669680i
\(126\) −0.238120 0.435809i −0.0212134 0.0388249i
\(127\) 6.20663 6.20663i 0.550749 0.550749i −0.375908 0.926657i \(-0.622669\pi\)
0.926657 + 0.375908i \(0.122669\pi\)
\(128\) 1.46681 + 11.2182i 0.129649 + 0.991560i
\(129\) −15.9790 + 9.22545i −1.40687 + 0.812256i
\(130\) −6.55984 1.25220i −0.575336 0.109825i
\(131\) 5.00092 8.66185i 0.436933 0.756790i −0.560518 0.828142i \(-0.689398\pi\)
0.997451 + 0.0713522i \(0.0227314\pi\)
\(132\) 2.97486 19.7031i 0.258928 1.71493i
\(133\) −6.14453 7.20844i −0.532798 0.625051i
\(134\) 5.45992 10.8121i 0.471665 0.934024i
\(135\) −11.8598 + 0.204087i −1.02073 + 0.0175650i
\(136\) 12.2536 10.1447i 1.05074 0.869900i
\(137\) −0.151978 + 0.567191i −0.0129844 + 0.0484584i −0.972114 0.234508i \(-0.924652\pi\)
0.959130 + 0.282967i \(0.0913186\pi\)
\(138\) 6.06459 + 1.26618i 0.516253 + 0.107785i
\(139\) 12.9871i 1.10155i 0.834653 + 0.550776i \(0.185668\pi\)
−0.834653 + 0.550776i \(0.814332\pi\)
\(140\) −11.8176 + 0.587171i −0.998768 + 0.0496250i
\(141\) 7.29183i 0.614083i
\(142\) −0.776368 + 3.71855i −0.0651513 + 0.312053i
\(143\) −3.21607 + 12.0025i −0.268941 + 1.00370i
\(144\) −0.117876 0.517657i −0.00982303 0.0431380i
\(145\) 9.35573 9.68336i 0.776951 0.804159i
\(146\) −1.95526 0.987369i −0.161818 0.0817153i
\(147\) −6.94850 9.60285i −0.573103 0.792029i
\(148\) 3.10079 20.5372i 0.254883 1.68814i
\(149\) 0.871704 1.50983i 0.0714127 0.123690i −0.828108 0.560569i \(-0.810583\pi\)
0.899521 + 0.436878i \(0.143916\pi\)
\(150\) −5.02632 + 10.8674i −0.410397 + 0.887317i
\(151\) −13.5367 + 7.81542i −1.10160 + 0.636010i −0.936641 0.350290i \(-0.886083\pi\)
−0.164960 + 0.986300i \(0.552750\pi\)
\(152\) −4.21861 9.20527i −0.342174 0.746646i
\(153\) −0.527857 + 0.527857i −0.0426747 + 0.0426747i
\(154\) −0.518079 + 22.0094i −0.0417480 + 1.77357i
\(155\) 0.659902 2.64394i 0.0530046 0.212367i
\(156\) −0.798976 7.10726i −0.0639693 0.569036i
\(157\) −23.1559 6.20461i −1.84804 0.495181i −0.848615 0.529012i \(-0.822563\pi\)
−0.999428 + 0.0338301i \(0.989229\pi\)
\(158\) 1.94776 2.17899i 0.154956 0.173351i
\(159\) −4.10667 + 7.11297i −0.325681 + 0.564095i
\(160\) −12.3260 2.84090i −0.974453 0.224593i
\(161\) −6.82326 0.543651i −0.537748 0.0428457i
\(162\) −3.79313 11.5321i −0.298016 0.906047i
\(163\) 2.18883 + 8.16881i 0.171442 + 0.639830i 0.997130 + 0.0757038i \(0.0241203\pi\)
−0.825688 + 0.564127i \(0.809213\pi\)
\(164\) 4.47879 + 1.95543i 0.349735 + 0.152693i
\(165\) 19.4824 + 10.8056i 1.51671 + 0.841213i
\(166\) −1.17165 + 0.766910i −0.0909374 + 0.0595237i
\(167\) −1.37400 + 1.37400i −0.106323 + 0.106323i −0.758267 0.651944i \(-0.773954\pi\)
0.651944 + 0.758267i \(0.273954\pi\)
\(168\) −4.34755 11.9024i −0.335421 0.918287i
\(169\) 8.54006i 0.656927i
\(170\) 5.84706 + 16.7972i 0.448449 + 1.28828i
\(171\) 0.237584 + 0.411508i 0.0181685 + 0.0314688i
\(172\) 20.2884 7.95667i 1.54697 0.606691i
\(173\) 14.6974 3.93815i 1.11742 0.299412i 0.347582 0.937650i \(-0.387003\pi\)
0.769839 + 0.638238i \(0.220336\pi\)
\(174\) 12.8717 + 6.49999i 0.975804 + 0.492763i
\(175\) 3.99640 12.6107i 0.302100 0.953276i
\(176\) −6.94859 + 22.4864i −0.523770 + 1.69498i
\(177\) 4.74908 1.27251i 0.356963 0.0956478i
\(178\) 3.91628 + 3.50070i 0.293538 + 0.262388i
\(179\) −9.39695 + 5.42533i −0.702361 + 0.405508i −0.808226 0.588872i \(-0.799572\pi\)
0.105865 + 0.994380i \(0.466239\pi\)
\(180\) 0.588359 + 0.0785044i 0.0438537 + 0.00585137i
\(181\) 2.62305i 0.194970i 0.995237 + 0.0974849i \(0.0310798\pi\)
−0.995237 + 0.0974849i \(0.968920\pi\)
\(182\) 1.86497 + 7.67861i 0.138241 + 0.569177i
\(183\) 8.77185 + 8.77185i 0.648434 + 0.648434i
\(184\) −6.85949 2.54814i −0.505688 0.187852i
\(185\) 20.3072 + 11.2630i 1.49301 + 0.828073i
\(186\) 2.91379 0.163266i 0.213650 0.0119712i
\(187\) 31.9654 8.56509i 2.33754 0.626342i
\(188\) −1.28579 + 8.51603i −0.0937757 + 0.621095i
\(189\) 6.02987 + 12.6734i 0.438608 + 0.921857i
\(190\) 11.2908 0.827738i 0.819120 0.0600504i
\(191\) −0.0199675 0.0115282i −0.00144480 0.000834154i 0.499277 0.866442i \(-0.333599\pi\)
−0.500722 + 0.865608i \(0.666932\pi\)
\(192\) −1.00208 13.5093i −0.0723187 0.974950i
\(193\) −7.30191 1.95654i −0.525603 0.140835i −0.0137459 0.999906i \(-0.504376\pi\)
−0.511857 + 0.859071i \(0.671042\pi\)
\(194\) 2.97089 + 4.53877i 0.213297 + 0.325865i
\(195\) 7.75821 + 1.93637i 0.555577 + 0.138667i
\(196\) 6.42177 + 12.4403i 0.458698 + 0.888592i
\(197\) −9.05691 + 9.05691i −0.645278 + 0.645278i −0.951848 0.306570i \(-0.900819\pi\)
0.306570 + 0.951848i \(0.400819\pi\)
\(198\) 0.225719 1.08112i 0.0160411 0.0768317i
\(199\) −0.296991 0.514403i −0.0210531 0.0364651i 0.855307 0.518122i \(-0.173369\pi\)
−0.876360 + 0.481657i \(0.840035\pi\)
\(200\) 7.78645 11.8056i 0.550585 0.834779i
\(201\) −7.25142 + 12.5598i −0.511476 + 0.885902i
\(202\) 4.38922 1.44370i 0.308824 0.101578i
\(203\) −15.0126 5.33262i −1.05368 0.374276i
\(204\) −15.3284 + 11.3069i −1.07320 + 0.791639i
\(205\) −3.79651 + 3.92946i −0.265160 + 0.274445i
\(206\) 23.8213 1.33475i 1.65971 0.0929968i
\(207\) 0.331681 + 0.0888736i 0.0230534 + 0.00617714i
\(208\) −0.320129 + 8.44136i −0.0221969 + 0.585303i
\(209\) 21.0646i 1.45707i
\(210\) 14.1669 + 0.0896504i 0.977609 + 0.00618647i
\(211\) 4.15052 0.285734 0.142867 0.989742i \(-0.454368\pi\)
0.142867 + 0.989742i \(0.454368\pi\)
\(212\) 6.05038 7.58301i 0.415542 0.520803i
\(213\) 1.17721 4.39341i 0.0806611 0.301031i
\(214\) −17.2662 + 0.967459i −1.18029 + 0.0661342i
\(215\) 0.419219 + 24.3615i 0.0285905 + 1.66144i
\(216\) 2.50762 + 14.7928i 0.170622 + 1.00652i
\(217\) −3.17090 + 0.584517i −0.215255 + 0.0396796i
\(218\) 0.318752 + 0.969088i 0.0215886 + 0.0656349i
\(219\) 2.27131 + 1.31134i 0.153481 + 0.0886123i
\(220\) −20.8479 16.0551i −1.40557 1.08243i
\(221\) 10.2865 5.93891i 0.691944 0.399494i
\(222\) −5.08258 + 24.3439i −0.341120 + 1.63385i
\(223\) −17.8824 17.8824i −1.19749 1.19749i −0.974915 0.222576i \(-0.928553\pi\)
−0.222576 0.974915i \(-0.571447\pi\)
\(224\) 2.97868 + 14.6672i 0.199021 + 0.979995i
\(225\) −0.311847 + 0.585801i −0.0207898 + 0.0390534i
\(226\) −4.99402 + 3.26887i −0.332197 + 0.217442i
\(227\) −0.666517 + 2.48748i −0.0442383 + 0.165100i −0.984511 0.175322i \(-0.943903\pi\)
0.940273 + 0.340422i \(0.110570\pi\)
\(228\) 4.42661 + 11.2872i 0.293159 + 0.747514i
\(229\) 7.05872 12.2261i 0.466453 0.807921i −0.532813 0.846233i \(-0.678865\pi\)
0.999266 + 0.0383127i \(0.0121983\pi\)
\(230\) 5.34653 6.19247i 0.352540 0.408319i
\(231\) 2.09364 26.2769i 0.137751 1.72889i
\(232\) −13.8866 9.86097i −0.911698 0.647404i
\(233\) −0.101054 0.377137i −0.00662024 0.0247071i 0.962537 0.271151i \(-0.0874044\pi\)
−0.969157 + 0.246444i \(0.920738\pi\)
\(234\) −0.0221766 0.395784i −0.00144973 0.0258732i
\(235\) −8.42067 4.67037i −0.549304 0.304661i
\(236\) −5.77077 + 0.648732i −0.375645 + 0.0422289i
\(237\) −2.47445 + 2.47445i −0.160733 + 0.160733i
\(238\) 15.2267 14.5263i 0.986999 0.941601i
\(239\) −8.73515 −0.565030 −0.282515 0.959263i \(-0.591169\pi\)
−0.282515 + 0.959263i \(0.591169\pi\)
\(240\) 14.5450 + 4.22186i 0.938877 + 0.272520i
\(241\) −2.75576 4.77312i −0.177514 0.307464i 0.763514 0.645791i \(-0.223472\pi\)
−0.941029 + 0.338327i \(0.890139\pi\)
\(242\) −22.2617 + 24.9045i −1.43104 + 1.60092i
\(243\) −0.356733 1.33135i −0.0228844 0.0854059i
\(244\) −8.69777 11.7913i −0.556818 0.754860i
\(245\) −15.5399 + 1.87363i −0.992810 + 0.119702i
\(246\) −5.22328 2.63766i −0.333024 0.168171i
\(247\) −1.95681 7.30292i −0.124509 0.464674i
\(248\) −3.43177 0.323121i −0.217918 0.0205182i
\(249\) 1.45204 0.838336i 0.0920193 0.0531274i
\(250\) 9.33042 + 12.7649i 0.590107 + 0.807325i
\(251\) 5.18227 0.327102 0.163551 0.986535i \(-0.447705\pi\)
0.163551 + 0.986535i \(0.447705\pi\)
\(252\) −0.203682 0.672141i −0.0128308 0.0423409i
\(253\) −10.7638 10.7638i −0.676715 0.676715i
\(254\) 10.3861 6.79832i 0.651684 0.426564i
\(255\) −5.86483 20.4722i −0.367270 1.28202i
\(256\) −1.21182 + 15.9540i −0.0757387 + 0.997128i
\(257\) −19.8219 + 5.31127i −1.23646 + 0.331308i −0.817091 0.576509i \(-0.804415\pi\)
−0.419367 + 0.907817i \(0.637748\pi\)
\(258\) −24.7871 + 8.15296i −1.54318 + 0.507581i
\(259\) 2.18227 27.3892i 0.135599 1.70188i
\(260\) −8.71927 3.62949i −0.540746 0.225092i
\(261\) 0.692150 + 0.399613i 0.0428430 + 0.0247354i
\(262\) 9.42664 10.5457i 0.582380 0.651517i
\(263\) −2.82463 + 10.5417i −0.174174 + 0.650027i 0.822517 + 0.568741i \(0.192569\pi\)
−0.996691 + 0.0812857i \(0.974097\pi\)
\(264\) 9.81308 26.4164i 0.603953 1.62582i
\(265\) 5.58382 + 9.29824i 0.343012 + 0.571186i
\(266\) −6.42280 11.7551i −0.393807 0.720749i
\(267\) −4.44731 4.44731i −0.272171 0.272171i
\(268\) 10.6835 13.3898i 0.652602 0.817912i
\(269\) 1.74432 + 3.02125i 0.106353 + 0.184209i 0.914290 0.405060i \(-0.132749\pi\)
−0.807937 + 0.589269i \(0.799416\pi\)
\(270\) −16.4773 3.14532i −1.00277 0.191418i
\(271\) −16.7981 9.69836i −1.02041 0.589134i −0.106187 0.994346i \(-0.533864\pi\)
−0.914223 + 0.405213i \(0.867198\pi\)
\(272\) 19.8956 10.5023i 1.20635 0.636793i
\(273\) −1.71517 9.30448i −0.103807 0.563133i
\(274\) −0.374329 + 0.741271i −0.0226140 + 0.0447818i
\(275\) 24.9568 15.5776i 1.50495 0.939365i
\(276\) 8.02963 + 3.50571i 0.483327 + 0.211019i
\(277\) 18.2019 + 4.87718i 1.09364 + 0.293041i 0.760174 0.649719i \(-0.225114\pi\)
0.333470 + 0.942761i \(0.391780\pi\)
\(278\) −3.75368 + 17.9789i −0.225131 + 1.07830i
\(279\) 0.161752 0.00968382
\(280\) −16.5295 2.60279i −0.987829 0.155546i
\(281\) 16.2908 0.971826 0.485913 0.874007i \(-0.338487\pi\)
0.485913 + 0.874007i \(0.338487\pi\)
\(282\) 2.10756 10.0945i 0.125504 0.601121i
\(283\) 5.60419 + 1.50164i 0.333135 + 0.0892632i 0.421509 0.906824i \(-0.361501\pi\)
−0.0883744 + 0.996087i \(0.528167\pi\)
\(284\) −2.14955 + 4.92342i −0.127552 + 0.292151i
\(285\) −13.5532 + 0.233228i −0.802825 + 0.0138152i
\(286\) −7.92130 + 15.6863i −0.468397 + 0.927551i
\(287\) 6.09205 + 2.16395i 0.359602 + 0.127734i
\(288\) −0.0135649 0.750694i −0.000799317 0.0442351i
\(289\) −12.6728 7.31662i −0.745456 0.430390i
\(290\) 15.7505 10.7012i 0.924902 0.628396i
\(291\) −3.24758 5.62497i −0.190376 0.329742i
\(292\) −2.42140 1.93201i −0.141702 0.113062i
\(293\) −11.5039 11.5039i −0.672066 0.672066i 0.286126 0.958192i \(-0.407632\pi\)
−0.958192 + 0.286126i \(0.907632\pi\)
\(294\) −6.84373 15.3022i −0.399135 0.892440i
\(295\) 1.57225 6.29932i 0.0915398 0.366760i
\(296\) 10.2285 27.5347i 0.594519 1.60042i
\(297\) −8.07825 + 30.1484i −0.468748 + 1.74939i
\(298\) 1.64314 1.83821i 0.0951847 0.106485i
\(299\) −4.73165 2.73182i −0.273638 0.157985i
\(300\) −10.0993 + 13.5916i −0.583081 + 0.784713i
\(301\) 26.0328 12.3861i 1.50050 0.713922i
\(302\) −20.9986 + 6.90685i −1.20833 + 0.397445i
\(303\) −5.34389 + 1.43189i −0.306998 + 0.0822599i
\(304\) −3.17948 13.9627i −0.182355 0.800818i
\(305\) 15.7481 4.51150i 0.901735 0.258328i
\(306\) −0.883312 + 0.578178i −0.0504956 + 0.0330523i
\(307\) −12.3338 12.3338i −0.703927 0.703927i 0.261324 0.965251i \(-0.415841\pi\)
−0.965251 + 0.261324i \(0.915841\pi\)
\(308\) −7.07860 + 30.3192i −0.403341 + 1.72760i
\(309\) −28.5671 −1.62512
\(310\) 1.67773 3.46945i 0.0952884 0.197051i
\(311\) −16.9086 + 9.76219i −0.958799 + 0.553563i −0.895803 0.444451i \(-0.853399\pi\)
−0.0629960 + 0.998014i \(0.520066\pi\)
\(312\) 0.948145 10.0700i 0.0536782 0.570099i
\(313\) 8.16997 + 30.4907i 0.461794 + 1.72344i 0.667305 + 0.744784i \(0.267448\pi\)
−0.205511 + 0.978655i \(0.565886\pi\)
\(314\) −30.2629 15.2822i −1.70783 0.862424i
\(315\) 0.783700 + 0.0488890i 0.0441565 + 0.00275458i
\(316\) 3.32621 2.45355i 0.187114 0.138023i
\(317\) −2.89312 10.7973i −0.162494 0.606436i −0.998347 0.0574819i \(-0.981693\pi\)
0.835853 0.548954i \(-0.184974\pi\)
\(318\) −7.74100 + 8.65998i −0.434094 + 0.485627i
\(319\) −17.7151 30.6835i −0.991857 1.71795i
\(320\) −16.2425 7.49542i −0.907983 0.419007i
\(321\) 20.7060 1.15570
\(322\) −9.28874 2.72474i −0.517641 0.151844i
\(323\) −14.2379 + 14.2379i −0.792216 + 0.792216i
\(324\) −1.91794 17.0609i −0.106552 0.947830i
\(325\) 7.20523 7.71902i 0.399674 0.428174i
\(326\) 0.669091 + 11.9412i 0.0370575 + 0.661364i
\(327\) −0.316145 1.17987i −0.0174828 0.0652468i
\(328\) 5.63510 + 4.00153i 0.311146 + 0.220948i
\(329\) −0.904908 + 11.3573i −0.0498892 + 0.626151i
\(330\) 23.8476 + 20.5899i 1.31277 + 1.13344i
\(331\) 0.741372 1.28409i 0.0407495 0.0705802i −0.844931 0.534875i \(-0.820359\pi\)
0.885681 + 0.464295i \(0.153692\pi\)
\(332\) −1.84364 + 0.723039i −0.101183 + 0.0396819i
\(333\) −0.356747 + 1.33140i −0.0195496 + 0.0729602i
\(334\) −2.29924 + 1.50499i −0.125809 + 0.0823492i
\(335\) 9.85972 + 16.4185i 0.538694 + 0.897038i
\(336\) −2.57844 17.7338i −0.140666 0.967456i
\(337\) 18.6334 + 18.6334i 1.01503 + 1.01503i 0.999885 + 0.0151418i \(0.00481996\pi\)
0.0151418 + 0.999885i \(0.495180\pi\)
\(338\) 2.46834 11.8225i 0.134260 0.643061i
\(339\) 6.18917 3.57332i 0.336149 0.194076i
\(340\) 3.23955 + 24.9433i 0.175689 + 1.35274i
\(341\) −6.20990 3.58529i −0.336285 0.194154i
\(342\) 0.209964 + 0.638345i 0.0113536 + 0.0345178i
\(343\) 9.63090 + 15.8192i 0.520020 + 0.854154i
\(344\) 30.3862 5.15096i 1.63831 0.277721i
\(345\) −6.80642 + 7.04478i −0.366445 + 0.379278i
\(346\) 21.4848 1.20383i 1.15503 0.0647185i
\(347\) −1.61911 + 6.04259i −0.0869182 + 0.324383i −0.995671 0.0929527i \(-0.970369\pi\)
0.908752 + 0.417336i \(0.137036\pi\)
\(348\) 15.9405 + 12.7187i 0.854498 + 0.681793i
\(349\) 25.9932 1.39138 0.695692 0.718340i \(-0.255098\pi\)
0.695692 + 0.718340i \(0.255098\pi\)
\(350\) 9.17734 16.3027i 0.490550 0.871413i
\(351\) 11.2027i 0.597955i
\(352\) −16.1186 + 29.1210i −0.859127 + 1.55215i
\(353\) −12.9582 3.47213i −0.689694 0.184803i −0.103084 0.994673i \(-0.532871\pi\)
−0.586610 + 0.809870i \(0.699538\pi\)
\(354\) 6.94224 0.388988i 0.368976 0.0206745i
\(355\) −4.31955 4.17340i −0.229258 0.221501i
\(356\) 4.40975 + 5.97816i 0.233716 + 0.316842i
\(357\) −19.1761 + 16.3458i −1.01491 + 0.865113i
\(358\) −14.5769 + 4.79462i −0.770412 + 0.253403i
\(359\) −4.00935 + 6.94440i −0.211605 + 0.366511i −0.952217 0.305422i \(-0.901202\pi\)
0.740612 + 0.671933i \(0.234536\pi\)
\(360\) 0.791812 + 0.278732i 0.0417321 + 0.0146905i
\(361\) −3.09165 5.35489i −0.162718 0.281836i
\(362\) −0.758142 + 3.63125i −0.0398471 + 0.190854i
\(363\) 28.2814 28.2814i 1.48439 1.48439i
\(364\) 0.362437 + 11.1690i 0.0189968 + 0.585416i
\(365\) 2.96911 1.78303i 0.155410 0.0933278i
\(366\) 9.60809 + 14.6788i 0.502223 + 0.767271i
\(367\) 10.5787 + 2.83454i 0.552202 + 0.147962i 0.524121 0.851644i \(-0.324394\pi\)
0.0280804 + 0.999606i \(0.491061\pi\)
\(368\) −8.75954 5.51016i −0.456622 0.287237i
\(369\) −0.280871 0.162161i −0.0146216 0.00844176i
\(370\) 24.8572 + 21.4615i 1.29226 + 1.11573i
\(371\) 7.27904 10.5691i 0.377909 0.548722i
\(372\) 4.08094 + 0.616158i 0.211587 + 0.0319463i
\(373\) −16.0195 + 4.29241i −0.829457 + 0.222252i −0.648477 0.761234i \(-0.724594\pi\)
−0.180980 + 0.983487i \(0.557927\pi\)
\(374\) 46.7273 2.61822i 2.41621 0.135385i
\(375\) −10.2992 15.8851i −0.531848 0.820302i
\(376\) −4.24139 + 11.4176i −0.218733 + 0.588820i
\(377\) −8.99208 8.99208i −0.463116 0.463116i
\(378\) 4.68451 + 19.2875i 0.240945 + 0.992040i
\(379\) 9.42276i 0.484015i −0.970274 0.242007i \(-0.922194\pi\)
0.970274 0.242007i \(-0.0778058\pi\)
\(380\) 15.8698 + 2.11750i 0.814103 + 0.108625i
\(381\) −12.8717 + 7.43148i −0.659437 + 0.380726i
\(382\) −0.0243102 0.0217305i −0.00124382 0.00111183i
\(383\) −1.98243 + 0.531192i −0.101298 + 0.0271426i −0.309112 0.951026i \(-0.600032\pi\)
0.207814 + 0.978168i \(0.433365\pi\)
\(384\) 2.51737 18.9914i 0.128464 0.969152i
\(385\) −29.0038 19.2479i −1.47817 0.980965i
\(386\) −9.54299 4.81904i −0.485726 0.245283i
\(387\) −1.39697 + 0.374316i −0.0710118 + 0.0190276i
\(388\) 2.80094 + 7.14199i 0.142196 + 0.362579i
\(389\) 15.8557 + 27.4629i 0.803916 + 1.39242i 0.917021 + 0.398840i \(0.130587\pi\)
−0.113105 + 0.993583i \(0.536080\pi\)
\(390\) 10.1805 + 4.92301i 0.515510 + 0.249286i
\(391\) 14.5509i 0.735869i
\(392\) 5.29444 + 19.0780i 0.267409 + 0.963583i
\(393\) −11.9757 + 11.9757i −0.604093 + 0.604093i
\(394\) −15.1558 + 9.92033i −0.763537 + 0.499779i
\(395\) 1.27265 + 4.44239i 0.0640339 + 0.223521i
\(396\) 0.624953 1.43142i 0.0314051 0.0719316i
\(397\) −0.289547 1.08060i −0.0145319 0.0542339i 0.958279 0.285834i \(-0.0922706\pi\)
−0.972811 + 0.231600i \(0.925604\pi\)
\(398\) −0.262465 0.797960i −0.0131562 0.0399981i
\(399\) 6.89086 + 14.4831i 0.344974 + 0.725060i
\(400\) 14.1914 14.0927i 0.709572 0.704633i
\(401\) 12.5923 21.8106i 0.628831 1.08917i −0.358956 0.933355i \(-0.616867\pi\)
0.987787 0.155813i \(-0.0497996\pi\)
\(402\) −13.6688 + 15.2915i −0.681737 + 0.762669i
\(403\) −2.48598 0.666117i −0.123836 0.0331817i
\(404\) 6.49355 0.729984i 0.323066 0.0363181i
\(405\) 18.6235 + 4.64825i 0.925411 + 0.230974i
\(406\) −19.2416 11.7214i −0.954947 0.581723i
\(407\) 43.2070 43.2070i 2.14169 2.14169i
\(408\) −24.4881 + 11.2224i −1.21234 + 0.555594i
\(409\) 24.2618 14.0075i 1.19967 0.692629i 0.239187 0.970974i \(-0.423119\pi\)
0.960481 + 0.278345i \(0.0897858\pi\)
\(410\) −6.39148 + 4.34249i −0.315653 + 0.214460i
\(411\) 0.497153 0.861094i 0.0245227 0.0424746i
\(412\) 33.3631 + 5.03731i 1.64368 + 0.248170i
\(413\) −7.55482 + 1.39264i −0.371748 + 0.0685272i
\(414\) 0.433479 + 0.218899i 0.0213043 + 0.0107583i
\(415\) −0.0380953 2.21378i −0.00187002 0.108670i
\(416\) −2.88299 + 11.5934i −0.141350 + 0.568412i
\(417\) 5.69172 21.2418i 0.278725 1.04021i
\(418\) 6.08831 29.1610i 0.297789 1.42631i
\(419\) 40.0678i 1.95744i 0.205196 + 0.978721i \(0.434217\pi\)
−0.205196 + 0.978721i \(0.565783\pi\)
\(420\) 19.5862 + 4.21878i 0.955710 + 0.205855i
\(421\) 31.9415i 1.55673i 0.627810 + 0.778366i \(0.283951\pi\)
−0.627810 + 0.778366i \(0.716049\pi\)
\(422\) 5.74583 + 1.19963i 0.279702 + 0.0583970i
\(423\) 0.147930 0.552083i 0.00719262 0.0268432i
\(424\) 10.5676 8.74888i 0.513210 0.424883i
\(425\) −27.3978 6.33953i −1.32899 0.307512i
\(426\) 2.89952 5.74182i 0.140482 0.278192i
\(427\) −12.5740 14.7511i −0.608497 0.713857i
\(428\) −24.1823 3.65115i −1.16890 0.176485i
\(429\) 10.5204 18.2219i 0.507931 0.879762i
\(430\) −6.46087 + 33.8463i −0.311571 + 1.63221i
\(431\) 7.25976 4.19142i 0.349690 0.201894i −0.314859 0.949139i \(-0.601957\pi\)
0.664549 + 0.747245i \(0.268624\pi\)
\(432\) −0.804113 + 21.2034i −0.0386879 + 1.02015i
\(433\) −21.6628 + 21.6628i −1.04105 + 1.04105i −0.0419294 + 0.999121i \(0.513350\pi\)
−0.999121 + 0.0419294i \(0.986650\pi\)
\(434\) −4.55862 0.107305i −0.218821 0.00515082i
\(435\) −19.5461 + 11.7379i −0.937164 + 0.562790i
\(436\) 0.161172 + 1.43370i 0.00771874 + 0.0686617i
\(437\) 8.94642 + 2.39719i 0.427965 + 0.114673i
\(438\) 2.76530 + 2.47185i 0.132131 + 0.118110i
\(439\) −19.5876 + 33.9267i −0.934863 + 1.61923i −0.159986 + 0.987119i \(0.551145\pi\)
−0.774877 + 0.632112i \(0.782188\pi\)
\(440\) −24.2207 28.2518i −1.15468 1.34685i
\(441\) −0.331275 0.868022i −0.0157750 0.0413344i
\(442\) 15.9568 5.24849i 0.758986 0.249645i
\(443\) 4.05106 + 15.1187i 0.192471 + 0.718313i 0.992907 + 0.118894i \(0.0379350\pi\)
−0.800435 + 0.599419i \(0.795398\pi\)
\(444\) −14.0723 + 32.2317i −0.667840 + 1.52965i
\(445\) −7.98427 + 2.28732i −0.378491 + 0.108429i
\(446\) −19.5871 29.9242i −0.927477 1.41695i
\(447\) −2.08746 + 2.08746i −0.0987335 + 0.0987335i
\(448\) −0.115711 + 21.1657i −0.00546684 + 0.999985i
\(449\) 3.18421i 0.150272i −0.997173 0.0751360i \(-0.976061\pi\)
0.997173 0.0751360i \(-0.0239391\pi\)
\(450\) −0.601024 + 0.720828i −0.0283325 + 0.0339801i
\(451\) 7.18871 + 12.4512i 0.338503 + 0.586305i
\(452\) −7.85834 + 3.08188i −0.369625 + 0.144959i
\(453\) 25.5659 6.85035i 1.20119 0.321858i
\(454\) −1.64166 + 3.25093i −0.0770469 + 0.152574i
\(455\) −11.8435 3.97877i −0.555230 0.186528i
\(456\) 2.86568 + 16.9050i 0.134198 + 0.791650i
\(457\) 5.43783 1.45706i 0.254371 0.0681585i −0.129380 0.991595i \(-0.541299\pi\)
0.383751 + 0.923437i \(0.374632\pi\)
\(458\) 13.3055 14.8851i 0.621727 0.695536i
\(459\) 25.8380 14.9176i 1.20602 0.696294i
\(460\) 9.19136 7.02731i 0.428549 0.327650i
\(461\) 39.2321i 1.82722i −0.406593 0.913610i \(-0.633283\pi\)
0.406593 0.913610i \(-0.366717\pi\)
\(462\) 10.4932 35.7716i 0.488187 1.66424i
\(463\) 5.47000 + 5.47000i 0.254213 + 0.254213i 0.822695 0.568483i \(-0.192469\pi\)
−0.568483 + 0.822695i \(0.692469\pi\)
\(464\) −16.3739 17.6648i −0.760141 0.820068i
\(465\) −2.23807 + 4.03524i −0.103788 + 0.187130i
\(466\) −0.0308905 0.551302i −0.00143098 0.0255386i
\(467\) −17.0978 + 4.58133i −0.791191 + 0.211999i −0.631713 0.775203i \(-0.717648\pi\)
−0.159478 + 0.987202i \(0.550981\pi\)
\(468\) 0.0836934 0.554318i 0.00386873 0.0256234i
\(469\) 12.8531 18.6626i 0.593499 0.861758i
\(470\) −10.3074 8.89932i −0.475444 0.410495i
\(471\) 35.1547 + 20.2966i 1.61984 + 0.935216i
\(472\) −8.17635 0.769851i −0.376347 0.0354353i
\(473\) 61.9286 + 16.5937i 2.84748 + 0.762979i
\(474\) −4.14073 + 2.71035i −0.190190 + 0.124490i
\(475\) −8.41144 + 15.8008i −0.385943 + 0.724990i
\(476\) 25.2778 15.7087i 1.15861 0.720008i
\(477\) −0.455229 + 0.455229i −0.0208435 + 0.0208435i
\(478\) −12.0926 2.52473i −0.553104 0.115478i
\(479\) 7.99779 + 13.8526i 0.365428 + 0.632940i 0.988845 0.148950i \(-0.0475892\pi\)
−0.623417 + 0.781890i \(0.714256\pi\)
\(480\) 18.9153 + 10.0485i 0.863364 + 0.458651i
\(481\) 10.9658 18.9933i 0.499997 0.866020i
\(482\) −2.43540 7.40424i −0.110929 0.337254i
\(483\) 10.9219 + 3.87955i 0.496964 + 0.176526i
\(484\) −38.0164 + 28.0426i −1.72802 + 1.27466i
\(485\) −8.57583 + 0.147575i −0.389408 + 0.00670104i
\(486\) −0.109048 1.94617i −0.00494651 0.0882802i
\(487\) −23.6473 6.33627i −1.07156 0.287124i −0.320426 0.947274i \(-0.603826\pi\)
−0.751134 + 0.660150i \(0.770493\pi\)
\(488\) −8.63282 18.8374i −0.390789 0.852727i
\(489\) 14.3202i 0.647582i
\(490\) −22.0544 1.89773i −0.996318 0.0857308i
\(491\) −26.6903 −1.20452 −0.602259 0.798301i \(-0.705732\pi\)
−0.602259 + 0.798301i \(0.705732\pi\)
\(492\) −6.46855 5.16118i −0.291625 0.232684i
\(493\) −8.76554 + 32.7134i −0.394780 + 1.47334i
\(494\) −0.598168 10.6755i −0.0269128 0.480312i
\(495\) 1.25585 + 1.21336i 0.0564464 + 0.0545366i
\(496\) −4.65742 1.43920i −0.209125 0.0646222i
\(497\) −2.37877 + 6.69683i −0.106703 + 0.300394i
\(498\) 2.25246 0.740876i 0.100935 0.0331995i
\(499\) −14.5995 8.42903i −0.653563 0.377335i 0.136257 0.990674i \(-0.456493\pi\)
−0.789820 + 0.613339i \(0.789826\pi\)
\(500\) 9.22723 + 20.3681i 0.412654 + 0.910888i
\(501\) 2.84949 1.64515i 0.127306 0.0735000i
\(502\) 7.17414 + 1.49784i 0.320197 + 0.0668517i
\(503\) 11.1121 + 11.1121i 0.495465 + 0.495465i 0.910023 0.414558i \(-0.136064\pi\)
−0.414558 + 0.910023i \(0.636064\pi\)
\(504\) −0.0877000 0.989358i −0.00390647 0.0440695i
\(505\) −1.76917 + 7.08829i −0.0787269 + 0.315425i
\(506\) −11.7900 18.0121i −0.524127 0.800736i
\(507\) −3.74276 + 13.9682i −0.166222 + 0.620348i
\(508\) 16.3431 6.40943i 0.725108 0.284372i
\(509\) 9.00348 15.5945i 0.399072 0.691213i −0.594540 0.804066i \(-0.702666\pi\)
0.993612 + 0.112853i \(0.0359990\pi\)
\(510\) −2.20197 30.0360i −0.0975048 1.33002i
\(511\) −3.37493 2.32434i −0.149298 0.102823i
\(512\) −6.28881 + 21.7359i −0.277929 + 0.960602i
\(513\) −4.91520 18.3438i −0.217012 0.809898i
\(514\) −28.9759 + 1.62357i −1.27807 + 0.0716128i
\(515\) −18.2970 + 32.9895i −0.806264 + 1.45369i
\(516\) −36.6708 + 4.12242i −1.61434 + 0.181479i
\(517\) −17.9164 + 17.9164i −0.787963 + 0.787963i
\(518\) 10.9374 37.2859i 0.480561 1.63825i
\(519\) −25.7650 −1.13096
\(520\) −11.0216 7.54467i −0.483329 0.330856i
\(521\) −5.35164 9.26932i −0.234460 0.406096i 0.724656 0.689111i \(-0.241999\pi\)
−0.959116 + 0.283015i \(0.908665\pi\)
\(522\) 0.842687 + 0.753262i 0.0368834 + 0.0329694i
\(523\) 5.11646 + 19.0949i 0.223727 + 0.834961i 0.982911 + 0.184084i \(0.0589319\pi\)
−0.759183 + 0.650877i \(0.774401\pi\)
\(524\) 16.0979 11.8745i 0.703241 0.518741i
\(525\) −12.0633 + 18.8746i −0.526484 + 0.823755i
\(526\) −6.95718 + 13.7771i −0.303347 + 0.600709i
\(527\) 1.77402 + 6.62072i 0.0772774 + 0.288403i
\(528\) 21.2200 33.7336i 0.923483 1.46807i
\(529\) −14.1221 + 8.15340i −0.614004 + 0.354495i
\(530\) 5.04256 + 14.4860i 0.219035 + 0.629233i
\(531\) 0.385381 0.0167241
\(532\) −5.49391 18.1297i −0.238191 0.786021i
\(533\) 3.64894 + 3.64894i 0.158053 + 0.158053i
\(534\) −4.87128 7.44210i −0.210801 0.322051i
\(535\) 13.2621 23.9115i 0.573370 1.03379i
\(536\) 18.6600 15.4485i 0.805988 0.667272i
\(537\) 17.7474 4.75540i 0.765856 0.205211i
\(538\) 1.54154 + 4.68668i 0.0664605 + 0.202057i
\(539\) −6.52186 + 40.6675i −0.280916 + 1.75168i
\(540\) −21.9014 9.11671i −0.942488 0.392321i
\(541\) 30.3728 + 17.5358i 1.30583 + 0.753921i 0.981397 0.191988i \(-0.0614935\pi\)
0.324432 + 0.945909i \(0.394827\pi\)
\(542\) −20.4515 18.2812i −0.878466 0.785245i
\(543\) 1.14957 4.29027i 0.0493330 0.184113i
\(544\) 30.5782 8.78850i 1.31103 0.376804i
\(545\) −1.56501 0.390611i −0.0670377 0.0167320i
\(546\) 0.314870 13.3765i 0.0134752 0.572462i
\(547\) 14.6808 + 14.6808i 0.627707 + 0.627707i 0.947490 0.319784i \(-0.103610\pi\)
−0.319784 + 0.947490i \(0.603610\pi\)
\(548\) −0.732457 + 0.917996i −0.0312890 + 0.0392148i
\(549\) 0.486184 + 0.842096i 0.0207498 + 0.0359398i
\(550\) 39.0516 14.3518i 1.66517 0.611962i
\(551\) 18.6694 + 10.7788i 0.795341 + 0.459191i
\(552\) 10.1027 + 7.17399i 0.429998 + 0.305345i
\(553\) 4.16114 3.54699i 0.176950 0.150833i
\(554\) 23.7883 + 12.0127i 1.01067 + 0.510370i
\(555\) −28.2784 27.3216i −1.20035 1.15974i
\(556\) −10.3929 + 23.8044i −0.440757 + 1.00953i
\(557\) −24.0959 6.45647i −1.02098 0.273569i −0.290767 0.956794i \(-0.593910\pi\)
−0.730208 + 0.683224i \(0.760577\pi\)
\(558\) 0.223923 + 0.0467513i 0.00947942 + 0.00197914i
\(559\) 23.0117 0.973289
\(560\) −22.1306 8.38075i −0.935188 0.354151i
\(561\) −56.0364 −2.36586
\(562\) 22.5523 + 4.70854i 0.951313 + 0.198618i
\(563\) 19.2833 + 5.16693i 0.812693 + 0.217760i 0.641149 0.767416i \(-0.278458\pi\)
0.171543 + 0.985177i \(0.445125\pi\)
\(564\) 5.83527 13.3654i 0.245709 0.562783i
\(565\) −0.162377 9.43600i −0.00683126 0.396975i
\(566\) 7.32422 + 3.69860i 0.307860 + 0.155464i
\(567\) −4.11725 22.3354i −0.172908 0.937997i
\(568\) −4.39878 + 6.19452i −0.184569 + 0.259916i
\(569\) 31.1711 + 17.9967i 1.30676 + 0.754460i 0.981554 0.191183i \(-0.0612323\pi\)
0.325208 + 0.945642i \(0.394566\pi\)
\(570\) −18.8300 3.59444i −0.788703 0.150554i
\(571\) 14.1980 + 24.5916i 0.594167 + 1.02913i 0.993664 + 0.112393i \(0.0358517\pi\)
−0.399496 + 0.916735i \(0.630815\pi\)
\(572\) −15.4998 + 19.4260i −0.648079 + 0.812244i
\(573\) 0.0276066 + 0.0276066i 0.00115328 + 0.00115328i
\(574\) 7.80816 + 4.75648i 0.325906 + 0.198532i
\(575\) 3.77590 + 12.3723i 0.157466 + 0.515959i
\(576\) 0.198195 1.04315i 0.00825814 0.0434648i
\(577\) 5.14724 19.2098i 0.214283 0.799713i −0.772135 0.635458i \(-0.780811\pi\)
0.986418 0.164255i \(-0.0525221\pi\)
\(578\) −15.4290 13.7917i −0.641761 0.573658i
\(579\) 11.0856 + 6.40025i 0.460700 + 0.265985i
\(580\) 24.8974 10.2619i 1.03381 0.426104i
\(581\) −2.36565 + 1.12555i −0.0981438 + 0.0466956i
\(582\) −2.87004 8.72565i −0.118967 0.361690i
\(583\) 27.5673 7.38663i 1.14172 0.305923i
\(584\) −2.79369 3.37446i −0.115604 0.139636i
\(585\) 0.548111 + 0.304000i 0.0226616 + 0.0125688i
\(586\) −12.6006 19.2506i −0.520527 0.795235i
\(587\) −23.6343 23.6343i −0.975491 0.975491i 0.0242162 0.999707i \(-0.492291\pi\)
−0.999707 + 0.0242162i \(0.992291\pi\)
\(588\) −5.05141 23.1618i −0.208317 0.955176i
\(589\) 4.36293 0.179771
\(590\) 3.99726 8.26611i 0.164565 0.340311i
\(591\) 18.7828 10.8443i 0.772621 0.446073i
\(592\) 22.1183 35.1616i 0.909057 1.44513i
\(593\) −7.02493 26.2174i −0.288479 1.07662i −0.946259 0.323410i \(-0.895171\pi\)
0.657780 0.753210i \(-0.271496\pi\)
\(594\) −19.8971 + 39.4015i −0.816387 + 1.61666i
\(595\) 6.59416 + 32.6141i 0.270334 + 1.33705i
\(596\) 2.80601 2.06983i 0.114939 0.0847836i
\(597\) 0.260318 + 0.971519i 0.0106541 + 0.0397616i
\(598\) −5.76074 5.14942i −0.235574 0.210576i
\(599\) −13.9732 24.2023i −0.570929 0.988878i −0.996471 0.0839390i \(-0.973250\pi\)
0.425542 0.904939i \(-0.360083\pi\)
\(600\) −17.9094 + 15.8967i −0.731150 + 0.648982i
\(601\) 5.36533 0.218856 0.109428 0.993995i \(-0.465098\pi\)
0.109428 + 0.993995i \(0.465098\pi\)
\(602\) 39.6188 9.62254i 1.61474 0.392186i
\(603\) −0.803827 + 0.803827i −0.0327344 + 0.0327344i
\(604\) −31.0660 + 3.49234i −1.26406 + 0.142101i
\(605\) −14.5456 50.7737i −0.591361 2.06424i
\(606\) −7.81174 + 0.437707i −0.317330 + 0.0177806i
\(607\) 7.53008 + 28.1026i 0.305636 + 1.14065i 0.932396 + 0.361438i \(0.117714\pi\)
−0.626760 + 0.779213i \(0.715619\pi\)
\(608\) −0.365885 20.2485i −0.0148386 0.821184i
\(609\) 22.2177 + 15.3015i 0.900305 + 0.620047i
\(610\) 23.1051 1.69386i 0.935498 0.0685822i
\(611\) −4.54712 + 7.87585i −0.183957 + 0.318623i
\(612\) −1.38994 + 0.545104i −0.0561848 + 0.0220345i
\(613\) 3.55308 13.2603i 0.143508 0.535578i −0.856310 0.516463i \(-0.827248\pi\)
0.999817 0.0191152i \(-0.00608493\pi\)
\(614\) −13.5096 20.6393i −0.545203 0.832934i
\(615\) 7.93171 4.76319i 0.319837 0.192070i
\(616\) −18.5626 + 39.9269i −0.747906 + 1.60870i
\(617\) −19.3575 19.3575i −0.779304 0.779304i 0.200409 0.979712i \(-0.435773\pi\)
−0.979712 + 0.200409i \(0.935773\pi\)
\(618\) −39.5472 8.25677i −1.59082 0.332136i
\(619\) −3.77825 + 2.18138i −0.151861 + 0.0876769i −0.574005 0.818852i \(-0.694611\pi\)
0.422144 + 0.906529i \(0.361278\pi\)
\(620\) 3.32536 4.31806i 0.133550 0.173417i
\(621\) −11.8852 6.86190i −0.476935 0.275358i
\(622\) −26.2292 + 8.62730i −1.05170 + 0.345923i
\(623\) 6.37497 + 7.47878i 0.255408 + 0.299631i
\(624\) 4.22311 13.6664i 0.169060 0.547095i
\(625\) −24.9408 + 1.71930i −0.997632 + 0.0687719i
\(626\) 2.49744 + 44.5716i 0.0998176 + 1.78144i
\(627\) −9.23173 + 34.4533i −0.368680 + 1.37593i
\(628\) −37.4777 29.9030i −1.49552 1.19326i
\(629\) −58.4086 −2.32890
\(630\) 1.07079 + 0.294194i 0.0426615 + 0.0117210i
\(631\) 5.99910i 0.238820i 0.992845 + 0.119410i \(0.0381003\pi\)
−0.992845 + 0.119410i \(0.961900\pi\)
\(632\) 5.31383 2.43523i 0.211373 0.0968683i
\(633\) −6.78861 1.81900i −0.269823 0.0722988i
\(634\) −0.884384 15.7836i −0.0351234 0.626845i
\(635\) 0.337698 + 19.6242i 0.0134011 + 0.778762i
\(636\) −13.2194 + 9.75116i −0.524181 + 0.386659i
\(637\) 1.51677 + 14.7050i 0.0600967 + 0.582633i
\(638\) −15.6557 47.5974i −0.619815 1.88440i
\(639\) 0.178259 0.308754i 0.00705183 0.0122141i
\(640\) −20.3191 15.0710i −0.803183 0.595732i
\(641\) −17.7597 30.7607i −0.701466 1.21498i −0.967952 0.251137i \(-0.919196\pi\)
0.266485 0.963839i \(-0.414138\pi\)
\(642\) 28.6647 + 5.98469i 1.13130 + 0.236197i
\(643\) 16.7157 16.7157i 0.659204 0.659204i −0.295988 0.955192i \(-0.595649\pi\)
0.955192 + 0.295988i \(0.0956488\pi\)
\(644\) −12.0715 6.45677i −0.475682 0.254432i
\(645\) 9.99096 40.0295i 0.393394 1.57616i
\(646\) −23.8256 + 15.5952i −0.937404 + 0.613585i
\(647\) 16.0770 + 4.30781i 0.632051 + 0.169358i 0.560600 0.828087i \(-0.310570\pi\)
0.0714508 + 0.997444i \(0.477237\pi\)
\(648\) 2.27602 24.1729i 0.0894104 0.949600i
\(649\) −14.7954 8.54211i −0.580769 0.335307i
\(650\) 12.2057 8.60339i 0.478746 0.337453i
\(651\) 5.44251 + 0.433638i 0.213309 + 0.0169956i
\(652\) −2.52512 + 16.7244i −0.0988914 + 0.654978i
\(653\) −13.6747 + 3.66413i −0.535133 + 0.143388i −0.516257 0.856433i \(-0.672675\pi\)
−0.0188753 + 0.999822i \(0.506009\pi\)
\(654\) −0.0966406 1.72474i −0.00377895 0.0674427i
\(655\) 6.15927 + 21.5000i 0.240663 + 0.840073i
\(656\) 6.64446 + 7.16829i 0.259422 + 0.279875i
\(657\) 0.145364 + 0.145364i 0.00567118 + 0.00567118i
\(658\) −4.53534 + 15.4611i −0.176806 + 0.602738i
\(659\) 12.6643i 0.493332i −0.969101 0.246666i \(-0.920665\pi\)
0.969101 0.246666i \(-0.0793350\pi\)
\(660\) 27.0627 + 35.3966i 1.05341 + 1.37781i
\(661\) −4.18665 + 2.41717i −0.162842 + 0.0940169i −0.579206 0.815181i \(-0.696637\pi\)
0.416364 + 0.909198i \(0.363304\pi\)
\(662\) 1.39747 1.56337i 0.0543143 0.0607622i
\(663\) −19.4274 + 5.20556i −0.754498 + 0.202167i
\(664\) −2.76125 + 0.468079i −0.107157 + 0.0181650i
\(665\) 21.1387 + 1.31868i 0.819725 + 0.0511363i
\(666\) −0.878683 + 1.74003i −0.0340483 + 0.0674247i
\(667\) 15.0477 4.03203i 0.582651 0.156121i
\(668\) −3.61798 + 1.41890i −0.139984 + 0.0548987i
\(669\) 21.4114 + 37.0856i 0.827811 + 1.43381i
\(670\) 8.90397 + 25.5789i 0.343990 + 0.988200i
\(671\) 43.1058i 1.66408i
\(672\) 1.55610 25.2952i 0.0600280 0.975784i
\(673\) 8.02068 8.02068i 0.309175 0.309175i −0.535415 0.844589i \(-0.679845\pi\)
0.844589 + 0.535415i \(0.179845\pi\)
\(674\) 20.4098 + 31.1811i 0.786156 + 1.20105i
\(675\) 18.0984 19.3890i 0.696608 0.746282i
\(676\) 6.83416 15.6533i 0.262852 0.602048i
\(677\) −9.51804 35.5218i −0.365808 1.36521i −0.866322 0.499485i \(-0.833522\pi\)
0.500514 0.865728i \(-0.333144\pi\)
\(678\) 9.60086 3.15791i 0.368719 0.121279i
\(679\) 4.36019 + 9.16416i 0.167329 + 0.351688i
\(680\) −2.72468 + 35.4670i −0.104487 + 1.36010i
\(681\) 2.18032 3.77642i 0.0835499 0.144713i
\(682\) −7.56050 6.75819i −0.289506 0.258785i
\(683\) −24.4227 6.54404i −0.934508 0.250401i −0.240732 0.970592i \(-0.577388\pi\)
−0.693776 + 0.720191i \(0.744054\pi\)
\(684\) 0.106165 + 0.944388i 0.00405932 + 0.0361096i
\(685\) −0.675976 1.12564i −0.0258277 0.0430086i
\(686\) 8.76043 + 24.6831i 0.334475 + 0.942405i
\(687\) −16.9034 + 16.9034i −0.644907 + 0.644907i
\(688\) 43.5543 + 1.65175i 1.66049 + 0.0629722i
\(689\) 8.87117 5.12178i 0.337965 0.195124i
\(690\) −11.4587 + 7.78526i −0.436226 + 0.296380i
\(691\) 0.367720 0.636909i 0.0139887 0.0242292i −0.858946 0.512066i \(-0.828880\pi\)
0.872935 + 0.487836i \(0.162214\pi\)
\(692\) 30.0907 + 4.54322i 1.14387 + 0.172707i
\(693\) 0.691597 1.94702i 0.0262716 0.0739610i
\(694\) −3.98793 + 7.89716i −0.151380 + 0.299772i
\(695\) −20.8847 20.1781i −0.792202 0.765398i
\(696\) 18.3913 + 22.2146i 0.697120 + 0.842041i
\(697\) 3.55701 13.2749i 0.134731 0.502824i
\(698\) 35.9840 + 7.51284i 1.36202 + 0.284365i
\(699\) 0.661135i 0.0250064i
\(700\) 17.4167 19.9163i 0.658291 0.752764i
\(701\) 17.9127i 0.676552i 0.941047 + 0.338276i \(0.109844\pi\)
−0.941047 + 0.338276i \(0.890156\pi\)
\(702\) −3.23792 + 15.5086i −0.122207 + 0.585333i
\(703\) −9.62253 + 35.9118i −0.362921 + 1.35444i
\(704\) −30.7309 + 35.6552i −1.15822 + 1.34381i
\(705\) 11.7261 + 11.3293i 0.441629 + 0.426687i
\(706\) −16.9353 8.55200i −0.637367 0.321859i
\(707\) 8.50103 1.56706i 0.319714 0.0589354i
\(708\) 9.72302 + 1.46802i 0.365413 + 0.0551717i
\(709\) −15.5470 + 26.9282i −0.583880 + 1.01131i 0.411134 + 0.911575i \(0.365133\pi\)
−0.995014 + 0.0997345i \(0.968201\pi\)
\(710\) −4.77358 7.02599i −0.179149 0.263681i
\(711\) −0.237547 + 0.137148i −0.00890870 + 0.00514344i
\(712\) 4.37682 + 9.55050i 0.164028 + 0.357920i
\(713\) 2.22942 2.22942i 0.0834925 0.0834925i
\(714\) −31.2711 + 17.0861i −1.17029 + 0.639431i
\(715\) −14.3046 23.8201i −0.534961 0.890822i
\(716\) −21.5655 + 2.42432i −0.805940 + 0.0906012i
\(717\) 14.2873 + 3.82826i 0.533567 + 0.142969i
\(718\) −7.55754 + 8.45474i −0.282045 + 0.315528i
\(719\) 18.0789 31.3137i 0.674231 1.16780i −0.302462 0.953161i \(-0.597809\pi\)
0.976693 0.214641i \(-0.0688581\pi\)
\(720\) 1.01559 + 0.614725i 0.0378489 + 0.0229094i
\(721\) 44.4945 + 3.54514i 1.65706 + 0.132028i
\(722\) −2.73223 8.30670i −0.101683 0.309143i
\(723\) 2.41548 + 9.01468i 0.0898326 + 0.335260i
\(724\) −2.09909 + 4.80784i −0.0780120 + 0.178682i
\(725\) 1.03590 + 30.0901i 0.0384725 + 1.11752i
\(726\) 47.3259 30.9775i 1.75643 1.14968i
\(727\) −24.4719 + 24.4719i −0.907613 + 0.907613i −0.996079 0.0884663i \(-0.971803\pi\)
0.0884663 + 0.996079i \(0.471803\pi\)
\(728\) −2.72645 + 15.5667i −0.101049 + 0.576942i
\(729\) 28.0865i 1.04024i
\(730\) 4.62568 1.61019i 0.171204 0.0595958i
\(731\) −30.6426 53.0745i −1.13336 1.96303i
\(732\) 9.05847 + 23.0978i 0.334811 + 0.853718i
\(733\) −17.4838 + 4.68477i −0.645779 + 0.173036i −0.566820 0.823842i \(-0.691826\pi\)
−0.0789595 + 0.996878i \(0.525160\pi\)
\(734\) 13.8254 + 6.98160i 0.510306 + 0.257695i
\(735\) 26.2383 + 3.74599i 0.967815 + 0.138173i
\(736\) −10.5338 10.1598i −0.388280 0.374497i
\(737\) 48.6773 13.0430i 1.79305 0.480446i
\(738\) −0.341958 0.305670i −0.0125876 0.0112519i
\(739\) 8.96021 5.17318i 0.329607 0.190299i −0.326060 0.945349i \(-0.605721\pi\)
0.655666 + 0.755051i \(0.272388\pi\)
\(740\) 28.2083 + 36.8950i 1.03696 + 1.35629i
\(741\) 12.8023i 0.470304i
\(742\) 13.1316 12.5276i 0.482078 0.459904i
\(743\) −30.8558 30.8558i −1.13199 1.13199i −0.989846 0.142142i \(-0.954601\pi\)
−0.142142 0.989846i \(-0.545399\pi\)
\(744\) 5.47141 + 2.03250i 0.200592 + 0.0745152i
\(745\) 1.07361 + 3.74763i 0.0393342 + 0.137302i
\(746\) −23.4174 + 1.31212i −0.857372 + 0.0480402i
\(747\) 0.126945 0.0340149i 0.00464468 0.00124454i
\(748\) 65.4442 + 9.88106i 2.39288 + 0.361287i
\(749\) −32.2506 2.56960i −1.17841 0.0938911i
\(750\) −9.66653 24.9675i −0.352972 0.911684i
\(751\) −15.7518 9.09428i −0.574790 0.331855i 0.184270 0.982876i \(-0.441008\pi\)
−0.759060 + 0.651020i \(0.774341\pi\)
\(752\) −9.17168 + 14.5803i −0.334457 + 0.531688i
\(753\) −8.47614 2.27117i −0.308888 0.0827662i
\(754\) −9.84932 15.0473i −0.358691 0.547990i
\(755\) 8.46393 33.9113i 0.308034 1.23416i
\(756\) 0.910384 + 28.0548i 0.0331103 + 1.02034i
\(757\) 31.7850 31.7850i 1.15525 1.15525i 0.169759 0.985486i \(-0.445701\pi\)
0.985486 0.169759i \(-0.0542991\pi\)
\(758\) 2.72347 13.0445i 0.0989208 0.473798i
\(759\) 12.8880 + 22.3227i 0.467805 + 0.810262i
\(760\) 21.3575 + 7.51825i 0.774719 + 0.272715i
\(761\) −5.69291 + 9.86041i −0.206368 + 0.357440i −0.950568 0.310517i \(-0.899498\pi\)
0.744200 + 0.667957i \(0.232831\pi\)
\(762\) −19.9670 + 6.56755i −0.723329 + 0.237917i
\(763\) 0.345989 + 1.87693i 0.0125256 + 0.0679494i
\(764\) −0.0273734 0.0371093i −0.000990335 0.00134257i
\(765\) −0.0287203 1.66898i −0.00103838 0.0603422i
\(766\) −2.89794 + 0.162377i −0.104707 + 0.00586693i
\(767\) −5.92297 1.58706i −0.213866 0.0573052i
\(768\) 8.97406 25.5634i 0.323823 0.922440i
\(769\) 5.34692i 0.192815i 0.995342 + 0.0964074i \(0.0307352\pi\)
−0.995342 + 0.0964074i \(0.969265\pi\)
\(770\) −34.5886 35.0291i −1.24648 1.26236i
\(771\) 34.7485 1.25144
\(772\) −11.8181 9.42952i −0.425343 0.339376i
\(773\) −3.57509 + 13.3424i −0.128587 + 0.479893i −0.999942 0.0107597i \(-0.996575\pi\)
0.871355 + 0.490653i \(0.163242\pi\)
\(774\) −2.04210 + 0.114423i −0.0734017 + 0.00411284i
\(775\) 3.22646 + 5.16909i 0.115898 + 0.185679i
\(776\) 1.81326 + 10.6967i 0.0650923 + 0.383988i
\(777\) −15.5729 + 43.8416i −0.558675 + 1.57281i
\(778\) 14.0124 + 42.6014i 0.502370 + 1.52733i
\(779\) −7.57593 4.37396i −0.271436 0.156714i
\(780\) 12.6706 + 9.75771i 0.453681 + 0.349382i
\(781\) −13.6873 + 7.90237i −0.489770 + 0.282769i
\(782\) −4.20565 + 20.1437i −0.150394 + 0.720337i
\(783\) −22.5867 22.5867i −0.807182 0.807182i
\(784\) 1.81530 + 27.9411i 0.0648321 + 0.997896i
\(785\) 45.9550 27.5971i 1.64020 0.984984i
\(786\) −20.0400 + 13.1173i −0.714804 + 0.467880i
\(787\) −1.35358 + 5.05164i −0.0482500 + 0.180072i −0.985845 0.167656i \(-0.946380\pi\)
0.937595 + 0.347728i \(0.113047\pi\)
\(788\) −23.8484 + 9.35284i −0.849564 + 0.333181i
\(789\) 9.23995 16.0041i 0.328951 0.569760i
\(790\) 0.477820 + 6.51772i 0.0170001 + 0.231890i
\(791\) −10.0833 + 4.79753i −0.358523 + 0.170581i
\(792\) 1.27889 1.80097i 0.0454433 0.0639949i
\(793\) −4.00436 14.9445i −0.142199 0.530693i
\(794\) −0.0885101 1.57964i −0.00314110 0.0560592i
\(795\) −5.05789 17.6554i −0.179385 0.626173i
\(796\) −0.132711 1.18053i −0.00470382 0.0418427i
\(797\) 21.8462 21.8462i 0.773831 0.773831i −0.204943 0.978774i \(-0.565701\pi\)
0.978774 + 0.204943i \(0.0657009\pi\)
\(798\) 5.35340 + 22.0415i 0.189508 + 0.780260i
\(799\) 24.2200 0.856841
\(800\) 23.7193 15.4076i 0.838605 0.544741i
\(801\) −0.246494 0.426941i −0.00870945 0.0150852i
\(802\) 23.7363 26.5542i 0.838157 0.937660i
\(803\) −2.35870 8.80277i −0.0832366 0.310643i
\(804\) −23.3423 + 17.2183i −0.823218 + 0.607241i
\(805\) 11.4756 10.1279i 0.404460 0.356961i
\(806\) −3.24898 1.64067i −0.114440 0.0577903i
\(807\) −1.52893 5.70604i −0.0538209 0.200862i
\(808\) 9.20041 + 0.866273i 0.323669 + 0.0304754i
\(809\) −40.9620 + 23.6494i −1.44015 + 0.831468i −0.997859 0.0654051i \(-0.979166\pi\)
−0.442287 + 0.896874i \(0.645833\pi\)
\(810\) 24.4383 + 11.8176i 0.858673 + 0.415230i
\(811\) −52.5118 −1.84394 −0.921969 0.387265i \(-0.873420\pi\)
−0.921969 + 0.387265i \(0.873420\pi\)
\(812\) −23.2496 21.7881i −0.815900 0.764612i
\(813\) 23.2246 + 23.2246i 0.814522 + 0.814522i
\(814\) 72.3023 47.3260i 2.53420 1.65878i
\(815\) −16.5371 9.17201i −0.579270 0.321281i
\(816\) −37.1440 + 8.45812i −1.30030 + 0.296093i
\(817\) −37.6804 + 10.0964i −1.31827 + 0.353229i
\(818\) 37.6357 12.3791i 1.31590 0.432826i
\(819\) 0.0589015 0.739263i 0.00205819 0.0258319i
\(820\) −10.1032 + 4.16425i −0.352821 + 0.145422i
\(821\) 16.8517 + 9.72931i 0.588127 + 0.339555i 0.764357 0.644794i \(-0.223057\pi\)
−0.176229 + 0.984349i \(0.556390\pi\)
\(822\) 0.937123 1.04837i 0.0326859 0.0365662i
\(823\) 10.7444 40.0987i 0.374527 1.39775i −0.479509 0.877537i \(-0.659185\pi\)
0.854035 0.520215i \(-0.174148\pi\)
\(824\) 44.7307 + 16.6164i 1.55827 + 0.578861i
\(825\) −47.6464 + 14.5413i −1.65884 + 0.506262i
\(826\) −10.8611 0.255660i −0.377907 0.00889555i
\(827\) 15.7682 + 15.7682i 0.548315 + 0.548315i 0.925953 0.377638i \(-0.123264\pi\)
−0.377638 + 0.925953i \(0.623264\pi\)
\(828\) 0.536824 + 0.428325i 0.0186559 + 0.0148853i
\(829\) 4.45721 + 7.72011i 0.154805 + 0.268131i 0.932988 0.359907i \(-0.117192\pi\)
−0.778183 + 0.628038i \(0.783858\pi\)
\(830\) 0.587113 3.07568i 0.0203790 0.106759i
\(831\) −27.6336 15.9543i −0.958599 0.553447i
\(832\) −7.34195 + 15.2162i −0.254536 + 0.527526i
\(833\) 31.8961 23.0796i 1.10513 0.799661i
\(834\) 14.0189 27.7613i 0.485436 0.961294i
\(835\) −0.0747583 4.34433i −0.00258712 0.150342i
\(836\) 16.8569 38.6097i 0.583007 1.33534i
\(837\) −6.24440 1.67318i −0.215838 0.0578336i
\(838\) −11.5808 + 55.4684i −0.400054 + 1.91613i
\(839\) 13.9480 0.481540 0.240770 0.970582i \(-0.422600\pi\)
0.240770 + 0.970582i \(0.422600\pi\)
\(840\) 25.8951 + 11.5014i 0.893465 + 0.396834i
\(841\) 7.25944 0.250326
\(842\) −9.23208 + 44.2186i −0.318158 + 1.52387i
\(843\) −26.6453 7.13957i −0.917711 0.245900i
\(844\) 7.60758 + 3.32144i 0.261864 + 0.114329i
\(845\) 13.7333 + 13.2687i 0.472441 + 0.456457i
\(846\) 0.364358 0.721528i 0.0125269 0.0248066i
\(847\) −47.5592 + 40.5398i −1.63415 + 1.39297i
\(848\) 17.1582 9.05725i 0.589214 0.311027i
\(849\) −8.50814 4.91218i −0.291999 0.168585i
\(850\) −36.0962 16.6950i −1.23809 0.572635i
\(851\) 13.4336 + 23.2677i 0.460498 + 0.797605i
\(852\) 5.67355 7.11071i 0.194372 0.243609i
\(853\) −6.45667 6.45667i −0.221072 0.221072i 0.587878 0.808950i \(-0.299964\pi\)
−0.808950 + 0.587878i \(0.799964\pi\)
\(854\) −13.1434 24.0552i −0.449758 0.823151i
\(855\) −1.03088 0.257298i −0.0352555 0.00879942i
\(856\) −32.4218 12.0440i −1.10815 0.411654i
\(857\) −0.813965 + 3.03776i −0.0278045 + 0.103768i −0.978434 0.206561i \(-0.933773\pi\)
0.950629 + 0.310329i \(0.100439\pi\)
\(858\) 19.8308 22.1850i 0.677012 0.757384i
\(859\) 30.8952 + 17.8374i 1.05413 + 0.608603i 0.923803 0.382867i \(-0.125063\pi\)
0.130329 + 0.991471i \(0.458397\pi\)
\(860\) −18.7268 + 44.9882i −0.638579 + 1.53408i
\(861\) −9.01582 6.20926i −0.307258 0.211611i
\(862\) 11.2616 3.70416i 0.383571 0.126164i
\(863\) 22.6920 6.08029i 0.772443 0.206976i 0.148993 0.988838i \(-0.452397\pi\)
0.623451 + 0.781863i \(0.285730\pi\)
\(864\) −7.24162 + 29.1208i −0.246365 + 0.990708i
\(865\) −16.5023 + 29.7537i −0.561097 + 1.01166i
\(866\) −36.2505 + 23.7280i −1.23184 + 0.806311i
\(867\) 17.5210 + 17.5210i 0.595046 + 0.595046i
\(868\) −6.27977 1.46613i −0.213149 0.0497638i
\(869\) 12.1597 0.412490
\(870\) −30.4515 + 10.6001i −1.03240 + 0.359377i
\(871\) 15.6644 9.04385i 0.530768 0.306439i
\(872\) −0.191263 + 2.03134i −0.00647698 + 0.0687900i
\(873\) −0.131768 0.491766i −0.00445968 0.0166437i
\(874\) 11.6922 + 5.90437i 0.395496 + 0.199718i
\(875\) 14.0701 + 26.0198i 0.475657 + 0.879631i
\(876\) 3.11374 + 4.22120i 0.105204 + 0.142621i
\(877\) −10.1411 37.8470i −0.342440 1.27800i −0.895575 0.444911i \(-0.853235\pi\)
0.553135 0.833092i \(-0.313431\pi\)
\(878\) −36.9222 + 41.3054i −1.24606 + 1.39399i
\(879\) 13.7742 + 23.8576i 0.464591 + 0.804696i
\(880\) −25.3646 46.1112i −0.855039 1.55441i
\(881\) −27.2597 −0.918404 −0.459202 0.888332i \(-0.651865\pi\)
−0.459202 + 0.888332i \(0.651865\pi\)
\(882\) −0.207720 1.29741i −0.00699430 0.0436860i
\(883\) 10.1753 10.1753i 0.342426 0.342426i −0.514853 0.857279i \(-0.672153\pi\)
0.857279 + 0.514853i \(0.172153\pi\)
\(884\) 23.6069 2.65382i 0.793987 0.0892575i
\(885\) −5.33231 + 9.61414i −0.179244 + 0.323176i
\(886\) 1.23835 + 22.1007i 0.0416031 + 0.742488i
\(887\) −2.88000 10.7483i −0.0967009 0.360893i 0.900571 0.434709i \(-0.143149\pi\)
−0.997272 + 0.0738164i \(0.976482\pi\)
\(888\) −28.7971 + 40.5531i −0.966367 + 1.36087i
\(889\) 20.9705 9.97749i 0.703327 0.334634i
\(890\) −11.7142 + 0.858781i −0.392662 + 0.0287864i
\(891\) 25.2542 43.7416i 0.846048 1.46540i
\(892\) −18.4667 47.0873i −0.618310 1.57660i
\(893\) 3.99012 14.8913i 0.133524 0.498320i
\(894\) −3.49314 + 2.28646i −0.116828 + 0.0764708i
\(895\) 5.87551 23.5407i 0.196397 0.786877i
\(896\) −6.27773 + 29.2676i −0.209724 + 0.977761i
\(897\) 6.54186 + 6.54186i 0.218426 + 0.218426i
\(898\) 0.920334 4.40810i 0.0307120 0.147100i
\(899\) 6.35523 3.66919i 0.211959 0.122374i
\(900\) −1.04038 + 0.824173i −0.0346792 + 0.0274724i
\(901\) −23.6259 13.6404i −0.787093 0.454428i
\(902\) 6.35300 + 19.3148i 0.211532 + 0.643111i
\(903\) −48.0077 + 8.84962i −1.59759 + 0.294497i
\(904\) −11.7696 + 1.99514i −0.391450 + 0.0663572i
\(905\) −4.21815 4.07543i −0.140216 0.135472i
\(906\) 37.3724 2.09405i 1.24162 0.0695701i
\(907\) −2.75514 + 10.2823i −0.0914830 + 0.341419i −0.996463 0.0840353i \(-0.973219\pi\)
0.904980 + 0.425455i \(0.139886\pi\)
\(908\) −3.21227 + 4.02597i −0.106603 + 0.133607i
\(909\) −0.433649 −0.0143832
\(910\) −15.2457 8.93119i −0.505388 0.296066i
\(911\) 11.1349i 0.368915i −0.982840 0.184457i \(-0.940947\pi\)
0.982840 0.184457i \(-0.0590528\pi\)
\(912\) −0.918930 + 24.2310i −0.0304288 + 0.802367i
\(913\) −5.62757 1.50790i −0.186246 0.0499043i
\(914\) 7.94907 0.445402i 0.262932 0.0147326i
\(915\) −27.7349 + 0.477270i −0.916888 + 0.0157781i
\(916\) 22.7220 16.7607i 0.750754 0.553789i
\(917\) 20.1388 17.1665i 0.665042 0.566887i
\(918\) 40.0809 13.1834i 1.32287 0.435116i
\(919\) −22.7273 + 39.3649i −0.749705 + 1.29853i 0.198259 + 0.980150i \(0.436471\pi\)
−0.947964 + 0.318378i \(0.896862\pi\)
\(920\) 14.7553 7.07176i 0.486467 0.233149i
\(921\) 14.7678 + 25.5786i 0.486616 + 0.842843i
\(922\) 11.3393 54.3114i 0.373439 1.78865i
\(923\) −4.01119 + 4.01119i −0.132030 + 0.132030i
\(924\) 24.8655 46.4880i 0.818014 1.52934i
\(925\) −49.6634 + 15.1568i −1.63292 + 0.498354i
\(926\) 5.99147 + 9.15347i 0.196892 + 0.300802i
\(927\) −2.16289 0.579544i −0.0710386 0.0190347i
\(928\) −17.5618 29.1871i −0.576494 0.958113i
\(929\) 9.74036 + 5.62360i 0.319571 + 0.184504i 0.651201 0.758905i \(-0.274265\pi\)
−0.331631 + 0.943409i \(0.607599\pi\)
\(930\) −4.26461 + 4.93936i −0.139842 + 0.161968i
\(931\) −8.93548 23.4132i −0.292849 0.767335i
\(932\) 0.116580 0.772131i 0.00381869 0.0252920i
\(933\) 31.9342 8.55673i 1.04548 0.280135i
\(934\) −24.9937 + 1.40044i −0.817818 + 0.0458239i
\(935\) −35.8910 + 64.7114i −1.17376 + 2.11629i
\(936\) 0.276077 0.743188i 0.00902387 0.0242919i
\(937\) 10.7077 + 10.7077i 0.349806 + 0.349806i 0.860037 0.510231i \(-0.170440\pi\)
−0.510231 + 0.860037i \(0.670440\pi\)
\(938\) 23.1874 22.1209i 0.757095 0.722272i
\(939\) 53.4514i 1.74432i
\(940\) −11.6970 15.2990i −0.381513 0.499000i
\(941\) 49.4039 28.5233i 1.61052 0.929834i 0.621271 0.783596i \(-0.286617\pi\)
0.989249 0.146239i \(-0.0467168\pi\)
\(942\) 42.8005 + 38.2586i 1.39452 + 1.24653i
\(943\) −6.10630 + 1.63618i −0.198848 + 0.0532813i
\(944\) −11.0965 3.42897i −0.361161 0.111604i
\(945\) −29.7489 9.99405i −0.967731 0.325106i
\(946\) 80.9355 + 40.8710i 2.63144 + 1.32883i
\(947\) 33.3913 8.94718i 1.08507 0.290744i 0.328400 0.944539i \(-0.393491\pi\)
0.756672 + 0.653794i \(0.226824\pi\)
\(948\) −6.51565 + 2.55530i −0.211618 + 0.0829924i
\(949\) −1.63548 2.83274i −0.0530901 0.0919547i
\(950\) −16.2114 + 19.4429i −0.525967 + 0.630810i
\(951\) 18.9280i 0.613783i
\(952\) 39.5340 14.4405i 1.28130 0.468019i
\(953\) 16.8673 16.8673i 0.546387 0.546387i −0.379007 0.925394i \(-0.623734\pi\)
0.925394 + 0.379007i \(0.123734\pi\)
\(954\) −0.761778 + 0.498627i −0.0246635 + 0.0161436i
\(955\) 0.0495622 0.0141985i 0.00160379 0.000459452i
\(956\) −16.0109 6.99029i −0.517828 0.226082i
\(957\) 15.5276 + 57.9499i 0.501937 + 1.87326i
\(958\) 7.06802 + 21.4886i 0.228357 + 0.694265i
\(959\) −0.881198 + 1.27950i −0.0284554 + 0.0413171i
\(960\) 23.2814 + 19.3780i 0.751403 + 0.625421i
\(961\) −14.7574 + 25.5606i −0.476045 + 0.824535i
\(962\) 20.6703 23.1242i 0.666436 0.745553i
\(963\) 1.56771 + 0.420066i 0.0505187 + 0.0135365i
\(964\) −1.23142 10.9541i −0.0396614 0.352807i
\(965\) 14.4913 8.70239i 0.466492 0.280140i
\(966\) 13.9986 + 8.52748i 0.450396 + 0.274367i
\(967\) 18.2418 18.2418i 0.586615 0.586615i −0.350098 0.936713i \(-0.613852\pi\)
0.936713 + 0.350098i \(0.113852\pi\)
\(968\) −60.7337 + 27.8332i −1.95206 + 0.894591i
\(969\) 29.5274 17.0477i 0.948557 0.547649i
\(970\) −11.9147 2.27438i −0.382558 0.0730260i
\(971\) 0.716859 1.24164i 0.0230051 0.0398460i −0.854294 0.519791i \(-0.826010\pi\)
0.877299 + 0.479945i \(0.159343\pi\)
\(972\) 0.411543 2.72573i 0.0132002 0.0874278i
\(973\) −11.5012 + 32.3787i −0.368711 + 1.03801i
\(974\) −30.9050 15.6065i −0.990261 0.500064i
\(975\) −15.1678 + 9.46751i −0.485759 + 0.303203i
\(976\) −6.50638 28.5729i −0.208264 0.914596i
\(977\) −6.45746 + 24.0996i −0.206592 + 0.771014i 0.782366 + 0.622819i \(0.214013\pi\)
−0.988958 + 0.148194i \(0.952654\pi\)
\(978\) 4.13898 19.8244i 0.132350 0.633914i
\(979\) 21.8545i 0.698474i
\(980\) −29.9829 9.00157i −0.957767 0.287545i
\(981\) 0.0957446i 0.00305689i
\(982\) −36.9491 7.71433i −1.17909 0.246174i
\(983\) 1.37527 5.13258i 0.0438643 0.163704i −0.940519 0.339740i \(-0.889661\pi\)
0.984384 + 0.176036i \(0.0563276\pi\)
\(984\) −7.46309 9.01455i −0.237915 0.287373i
\(985\) −0.492780 28.6362i −0.0157013 0.912426i
\(986\) −21.5899 + 42.7538i −0.687562 + 1.36156i
\(987\) 6.45753 18.1795i 0.205545 0.578661i
\(988\) 2.25746 14.9516i 0.0718194 0.475674i
\(989\) −14.0952 + 24.4135i −0.448200 + 0.776306i
\(990\) 1.38786 + 2.04271i 0.0441090 + 0.0649217i
\(991\) 39.2568 22.6649i 1.24703 0.719975i 0.276517 0.961009i \(-0.410820\pi\)
0.970517 + 0.241034i \(0.0774864\pi\)
\(992\) −6.03159 3.33852i −0.191503 0.105998i
\(993\) −1.77536 + 1.77536i −0.0563393 + 0.0563393i
\(994\) −5.22868 + 8.58331i −0.165844 + 0.272246i
\(995\) 1.28865 + 0.321635i 0.0408530 + 0.0101965i
\(996\) 3.33235 0.374613i 0.105590 0.0118701i
\(997\) 53.9385 + 14.4528i 1.70825 + 0.457724i 0.974994 0.222231i \(-0.0713339\pi\)
0.733254 + 0.679955i \(0.238001\pi\)
\(998\) −17.7748 15.8885i −0.562650 0.502943i
\(999\) 27.5443 47.7082i 0.871464 1.50942i
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 280.2.br.a.107.43 yes 176
5.3 odd 4 inner 280.2.br.a.163.25 yes 176
7.4 even 3 inner 280.2.br.a.67.13 176
8.3 odd 2 inner 280.2.br.a.107.35 yes 176
35.18 odd 12 inner 280.2.br.a.123.35 yes 176
40.3 even 4 inner 280.2.br.a.163.13 yes 176
56.11 odd 6 inner 280.2.br.a.67.25 yes 176
280.123 even 12 inner 280.2.br.a.123.43 yes 176
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
280.2.br.a.67.13 176 7.4 even 3 inner
280.2.br.a.67.25 yes 176 56.11 odd 6 inner
280.2.br.a.107.35 yes 176 8.3 odd 2 inner
280.2.br.a.107.43 yes 176 1.1 even 1 trivial
280.2.br.a.123.35 yes 176 35.18 odd 12 inner
280.2.br.a.123.43 yes 176 280.123 even 12 inner
280.2.br.a.163.13 yes 176 40.3 even 4 inner
280.2.br.a.163.25 yes 176 5.3 odd 4 inner