Properties

Label 280.2.br.a.67.13
Level $280$
Weight $2$
Character 280.67
Analytic conductor $2.236$
Analytic rank $0$
Dimension $176$
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] = [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 67.13
Character \(\chi\) \(=\) 280.67
Dual form 280.2.br.a.163.13

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.942490 + 1.05438i) q^{2} +(0.438259 + 1.63560i) q^{3} +(-0.223426 - 1.98748i) q^{4} +(-0.615814 - 2.14960i) q^{5} +(-2.13760 - 1.07945i) q^{6} +(-0.885584 - 2.49314i) q^{7} +(2.30613 + 1.63760i) q^{8} +(0.114945 - 0.0663635i) q^{9} +O(q^{10})\) \(q+(-0.942490 + 1.05438i) q^{2} +(0.438259 + 1.63560i) q^{3} +(-0.223426 - 1.98748i) q^{4} +(-0.615814 - 2.14960i) q^{5} +(-2.13760 - 1.07945i) q^{6} +(-0.885584 - 2.49314i) q^{7} +(2.30613 + 1.63760i) q^{8} +(0.114945 - 0.0663635i) q^{9} +(2.84689 + 1.37667i) q^{10} +(2.94194 - 5.09559i) q^{11} +(3.15281 - 1.23647i) q^{12} +(1.49331 + 1.49331i) q^{13} +(3.46336 + 1.41602i) q^{14} +(3.24601 - 1.94931i) q^{15} +(-3.90016 + 0.888111i) q^{16} +(-5.43270 + 1.45569i) q^{17} +(-0.0383622 + 0.183742i) 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} +(0.669597 - 2.49897i) q^{23} +(-1.66779 + 4.48962i) q^{24} +(-4.24155 + 2.64750i) q^{25} +(-2.98194 + 0.167084i) q^{26} +(3.75096 + 3.75096i) q^{27} +(-4.75720 + 2.31712i) q^{28} -6.02158 q^{29} +(-1.00402 + 5.25972i) q^{30} +(1.05541 + 0.609340i) q^{31} +(2.73946 - 4.94928i) q^{32} +(9.62371 + 2.57866i) q^{33} +(3.58542 - 7.10009i) q^{34} +(-4.81389 + 3.43896i) q^{35} +(-0.157578 - 0.213623i) q^{36} +(10.0311 + 2.68783i) q^{37} +(-1.03474 + 4.95608i) q^{38} +(-1.78801 + 3.09692i) q^{39} +(2.10004 - 5.96572i) q^{40} +2.44353 q^{41} +(-0.798193 + 6.28528i) q^{42} +(7.70492 - 7.70492i) q^{43} +(-10.7847 - 4.70856i) q^{44} +(-0.213439 - 0.206218i) q^{45} +(2.00377 + 3.06126i) q^{46} +(-4.15954 - 1.11455i) 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} +(2.63428 - 3.30157i) q^{52} +(-4.68522 + 1.25540i) q^{53} +(-7.49016 + 0.419689i) q^{54} +(-12.7652 - 3.18606i) q^{55} +(2.04050 - 7.19975i) q^{56} +(4.28655 + 4.28655i) q^{57} +(5.67528 - 6.34902i) q^{58} +(2.51456 + 1.45178i) q^{59} +(-4.59946 - 6.01585i) q^{60} +(6.34457 - 3.66304i) q^{61} +(-1.63719 + 0.538502i) q^{62} +(-0.267247 - 0.227803i) q^{63} +(2.63650 + 7.55307i) q^{64} +(2.29042 - 4.12961i) q^{65} +(-11.7891 + 7.71666i) q^{66} +(-8.27299 + 2.21674i) q^{67} +(4.10696 + 10.4721i) q^{68} +4.38078 q^{69} +(0.911080 - 8.31685i) q^{70} +2.68611i q^{71} +(0.373755 + 0.0351913i) q^{72} +(0.400874 + 1.49608i) q^{73} +(-12.2882 + 8.04333i) q^{74} +(-6.18916 - 5.77720i) q^{75} +(-4.25035 - 5.76206i) q^{76} +(-15.3094 - 2.82209i) q^{77} +(-1.58015 - 4.80405i) q^{78} +(1.03331 + 1.78974i) q^{79} +(4.31085 + 7.83687i) q^{80} +(-4.29210 + 7.43414i) q^{81} +(-2.30300 + 2.57640i) q^{82} +(-0.700162 + 0.700162i) q^{83} +(-5.87477 - 6.76541i) q^{84} +(6.47467 + 10.7817i) q^{85} +(0.862091 + 15.3857i) q^{86} +(-2.63901 - 9.84893i) q^{87} +(15.1291 - 6.93338i) 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} +(-0.534098 + 1.99328i) q^{93} +(5.09548 - 3.33528i) q^{94} +(-5.75710 - 5.56231i) q^{95} +(9.29566 + 2.31160i) q^{96} +(2.71232 + 2.71232i) q^{97} +(0.463224 - 9.88865i) 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 \(\left(\mathbb{Z}/280\mathbb{Z}\right)^\times\).

\(n\) \(57\) \(71\) \(141\) \(241\)
\(\chi(n)\) \(e\left(\frac{1}{4}\right)\) \(-1\) \(-1\) \(e\left(\frac{2}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.942490 + 1.05438i −0.666441 + 0.745558i
\(3\) 0.438259 + 1.63560i 0.253029 + 0.944317i 0.969176 + 0.246368i \(0.0792371\pi\)
−0.716148 + 0.697949i \(0.754096\pi\)
\(4\) −0.223426 1.98748i −0.111713 0.993740i
\(5\) −0.615814 2.14960i −0.275400 0.961330i
\(6\) −2.13760 1.07945i −0.872672 0.440684i
\(7\) −0.885584 2.49314i −0.334719 0.942318i
\(8\) 2.30613 + 1.63760i 0.815341 + 0.578981i
\(9\) 0.114945 0.0663635i 0.0383150 0.0221212i
\(10\) 2.84689 + 1.37667i 0.900265 + 0.435343i
\(11\) 2.94194 5.09559i 0.887029 1.53638i 0.0436583 0.999047i \(-0.486099\pi\)
0.843371 0.537332i \(-0.180568\pi\)
\(12\) 3.15281 1.23647i 0.910139 0.356938i
\(13\) 1.49331 + 1.49331i 0.414169 + 0.414169i 0.883188 0.469019i \(-0.155392\pi\)
−0.469019 + 0.883188i \(0.655392\pi\)
\(14\) 3.46336 + 1.41602i 0.925623 + 0.378446i
\(15\) 3.24601 1.94931i 0.838115 0.503309i
\(16\) −3.90016 + 0.888111i −0.975040 + 0.222028i
\(17\) −5.43270 + 1.45569i −1.31762 + 0.353056i −0.848087 0.529857i \(-0.822246\pi\)
−0.469536 + 0.882913i \(0.655579\pi\)
\(18\) −0.0383622 + 0.183742i −0.00904206 + 0.0433085i
\(19\) 3.10041 1.79002i 0.711282 0.410659i −0.100253 0.994962i \(-0.531965\pi\)
0.811536 + 0.584303i \(0.198632\pi\)
\(20\) −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
\(23\) 0.669597 2.49897i 0.139621 0.521071i −0.860315 0.509762i \(-0.829733\pi\)
0.999936 0.0113092i \(-0.00359989\pi\)
\(24\) −1.66779 + 4.48962i −0.340436 + 0.916439i
\(25\) −4.24155 + 2.64750i −0.848309 + 0.529501i
\(26\) −2.98194 + 0.167084i −0.584807 + 0.0327679i
\(27\) 3.75096 + 3.75096i 0.721872 + 0.721872i
\(28\) −4.75720 + 2.31712i −0.899027 + 0.437894i
\(29\) −6.02158 −1.11818 −0.559090 0.829107i \(-0.688849\pi\)
−0.559090 + 0.829107i \(0.688849\pi\)
\(30\) −1.00402 + 5.25972i −0.183308 + 0.960289i
\(31\) 1.05541 + 0.609340i 0.189557 + 0.109441i 0.591775 0.806103i \(-0.298427\pi\)
−0.402218 + 0.915544i \(0.631761\pi\)
\(32\) 2.73946 4.94928i 0.484272 0.874917i
\(33\) 9.62371 + 2.57866i 1.67527 + 0.448888i
\(34\) 3.58542 7.10009i 0.614894 1.21766i
\(35\) −4.81389 + 3.43896i −0.813696 + 0.581290i
\(36\) −0.157578 0.213623i −0.0262630 0.0356039i
\(37\) 10.0311 + 2.68783i 1.64910 + 0.441876i 0.959362 0.282180i \(-0.0910574\pi\)
0.689742 + 0.724055i \(0.257724\pi\)
\(38\) −1.03474 + 4.95608i −0.167857 + 0.803982i
\(39\) −1.78801 + 3.09692i −0.286310 + 0.495904i
\(40\) 2.10004 5.96572i 0.332046 0.943263i
\(41\) 2.44353 0.381615 0.190807 0.981627i \(-0.438889\pi\)
0.190807 + 0.981627i \(0.438889\pi\)
\(42\) −0.798193 + 6.28528i −0.123164 + 0.969839i
\(43\) 7.70492 7.70492i 1.17499 1.17499i 0.193985 0.981005i \(-0.437859\pi\)
0.981005 0.193985i \(-0.0621412\pi\)
\(44\) −10.7847 4.70856i −1.62585 0.709843i
\(45\) −0.213439 0.206218i −0.0318177 0.0307411i
\(46\) 2.00377 + 3.06126i 0.295440 + 0.451358i
\(47\) −4.15954 1.11455i −0.606732 0.162573i −0.0576429 0.998337i \(-0.518358\pi\)
−0.549089 + 0.835764i \(0.685025\pi\)
\(48\) −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
\(52\) 2.63428 3.30157i 0.365309 0.457845i
\(53\) −4.68522 + 1.25540i −0.643564 + 0.172442i −0.565817 0.824531i \(-0.691439\pi\)
−0.0777467 + 0.996973i \(0.524773\pi\)
\(54\) −7.49016 + 0.419689i −1.01928 + 0.0571124i
\(55\) −12.7652 3.18606i −1.72125 0.429608i
\(56\) 2.04050 7.19975i 0.272673 0.962107i
\(57\) 4.28655 + 4.28655i 0.567767 + 0.567767i
\(58\) 5.67528 6.34902i 0.745201 0.833668i
\(59\) 2.51456 + 1.45178i 0.327368 + 0.189006i 0.654672 0.755913i \(-0.272807\pi\)
−0.327304 + 0.944919i \(0.606140\pi\)
\(60\) −4.59946 6.01585i −0.593787 0.776643i
\(61\) 6.34457 3.66304i 0.812339 0.469004i −0.0354283 0.999372i \(-0.511280\pi\)
0.847768 + 0.530368i \(0.177946\pi\)
\(62\) −1.63719 + 0.538502i −0.207923 + 0.0683899i
\(63\) −0.267247 0.227803i −0.0336699 0.0287005i
\(64\) 2.63650 + 7.55307i 0.329563 + 0.944134i
\(65\) 2.29042 4.12961i 0.284091 0.512216i
\(66\) −11.7891 + 7.71666i −1.45114 + 0.949855i
\(67\) −8.27299 + 2.21674i −1.01071 + 0.270818i −0.725924 0.687775i \(-0.758588\pi\)
−0.284782 + 0.958592i \(0.591921\pi\)
\(68\) 4.10696 + 10.4721i 0.498042 + 1.26993i
\(69\) 4.38078 0.527384
\(70\) 0.911080 8.31685i 0.108895 0.994053i
\(71\) 2.68611i 0.318782i 0.987216 + 0.159391i \(0.0509531\pi\)
−0.987216 + 0.159391i \(0.949047\pi\)
\(72\) 0.373755 + 0.0351913i 0.0440475 + 0.00414733i
\(73\) 0.400874 + 1.49608i 0.0469188 + 0.175103i 0.985409 0.170202i \(-0.0544420\pi\)
−0.938490 + 0.345305i \(0.887775\pi\)
\(74\) −12.2882 + 8.04333i −1.42847 + 0.935018i
\(75\) −6.18916 5.77720i −0.714663 0.667094i
\(76\) −4.25035 5.76206i −0.487548 0.660954i
\(77\) −15.3094 2.82209i −1.74466 0.321607i
\(78\) −1.58015 4.80405i −0.178916 0.543952i
\(79\) 1.03331 + 1.78974i 0.116256 + 0.201361i 0.918281 0.395929i \(-0.129577\pi\)
−0.802025 + 0.597290i \(0.796244\pi\)
\(80\) 4.31085 + 7.83687i 0.481968 + 0.876189i
\(81\) −4.29210 + 7.43414i −0.476900 + 0.826015i
\(82\) −2.30300 + 2.57640i −0.254324 + 0.284516i
\(83\) −0.700162 + 0.700162i −0.0768527 + 0.0768527i −0.744488 0.667636i \(-0.767306\pi\)
0.667636 + 0.744488i \(0.267306\pi\)
\(84\) −5.87477 6.76541i −0.640990 0.738166i
\(85\) 6.47467 + 10.7817i 0.702277 + 1.16944i
\(86\) 0.862091 + 15.3857i 0.0929617 + 1.65908i
\(87\) −2.63901 9.84893i −0.282932 1.05592i
\(88\) 15.1291 6.93338i 1.61276 0.739101i
\(89\) −3.21668 + 1.85715i −0.340968 + 0.196858i −0.660700 0.750650i \(-0.729740\pi\)
0.319732 + 0.947508i \(0.396407\pi\)
\(90\) 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
\(93\) −0.534098 + 1.99328i −0.0553833 + 0.206693i
\(94\) 5.09548 3.33528i 0.525559 0.344008i
\(95\) −5.75710 5.56231i −0.590666 0.570681i
\(96\) 9.29566 + 2.31160i 0.948734 + 0.235927i
\(97\) 2.71232 + 2.71232i 0.275394 + 0.275394i 0.831267 0.555873i \(-0.187616\pi\)
−0.555873 + 0.831267i \(0.687616\pi\)
\(98\) 0.463224 9.88865i 0.0467927 0.998905i
\(99\) 0.780950i 0.0784884i
\(100\) 6.20954 + 7.83847i 0.620954 + 0.783847i
\(101\) −2.82950 1.63361i −0.281546 0.162550i 0.352577 0.935783i \(-0.385305\pi\)
−0.634123 + 0.773232i \(0.718639\pi\)
\(102\) 13.1843 + 2.75265i 1.30544 + 0.272553i
\(103\) −4.36644 + 16.2958i −0.430238 + 1.60567i 0.321973 + 0.946749i \(0.395654\pi\)
−0.752211 + 0.658922i \(0.771013\pi\)
\(104\) 0.998321 + 5.88922i 0.0978934 + 0.577486i
\(105\) −7.73451 6.36647i −0.754811 0.621304i
\(106\) 3.09210 6.12319i 0.300331 0.594737i
\(107\) 3.16489 11.8115i 0.305962 1.14186i −0.626153 0.779700i \(-0.715371\pi\)
0.932114 0.362164i \(-0.117962\pi\)
\(108\) 6.61689 8.29302i 0.636711 0.797996i
\(109\) 0.360683 0.624720i 0.0345471 0.0598374i −0.848235 0.529620i \(-0.822334\pi\)
0.882782 + 0.469783i \(0.155668\pi\)
\(110\) 15.3903 10.4565i 1.46741 0.996987i
\(111\) 17.5849i 1.66908i
\(112\) 5.66811 + 8.93715i 0.535586 + 0.844481i
\(113\) −2.98437 + 2.98437i −0.280746 + 0.280746i −0.833406 0.552661i \(-0.813613\pi\)
0.552661 + 0.833406i \(0.313613\pi\)
\(114\) −8.55967 + 0.479615i −0.801687 + 0.0449201i
\(115\) −5.78413 + 0.0995348i −0.539373 + 0.00928167i
\(116\) 1.34538 + 11.9678i 0.124915 + 1.11118i
\(117\) 0.270749 + 0.0725471i 0.0250308 + 0.00670698i
\(118\) −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
\(122\) −2.11746 + 10.1420i −0.191706 + 0.918210i
\(123\) 1.07090 + 3.99664i 0.0965596 + 0.360365i
\(124\) 0.975246 2.23375i 0.0875797 0.200596i
\(125\) 8.30307 + 7.48726i 0.742649 + 0.669680i
\(126\) 0.492068 0.0670770i 0.0438369 0.00597570i
\(127\) 6.20663 6.20663i 0.550749 0.550749i −0.375908 0.926657i \(-0.622669\pi\)
0.926657 + 0.375908i \(0.122669\pi\)
\(128\) −10.4487 4.33882i −0.923540 0.383501i
\(129\) 15.9790 + 9.22545i 1.40687 + 0.812256i
\(130\) 2.19548 + 6.30708i 0.192557 + 0.553168i
\(131\) 5.00092 + 8.66185i 0.436933 + 0.756790i 0.997451 0.0713522i \(-0.0227314\pi\)
−0.560518 + 0.828142i \(0.689398\pi\)
\(132\) 2.97486 19.7031i 0.258928 1.71493i
\(133\) −7.20844 6.14453i −0.625051 0.532798i
\(134\) 5.45992 10.8121i 0.471665 0.934024i
\(135\) 5.75316 10.3729i 0.495153 0.892761i
\(136\) −14.9124 5.53960i −1.27873 0.475017i
\(137\) 0.567191 0.151978i 0.0484584 0.0129844i −0.234508 0.972114i \(-0.575348\pi\)
0.282967 + 0.959130i \(0.408681\pi\)
\(138\) −4.12884 + 4.61900i −0.351470 + 0.393196i
\(139\) 12.9871i 1.10155i 0.834653 + 0.550776i \(0.185668\pi\)
−0.834653 + 0.550776i \(0.814332\pi\)
\(140\) 7.91042 + 8.79917i 0.668552 + 0.743665i
\(141\) 7.29183i 0.614083i
\(142\) −2.83217 2.53163i −0.237670 0.212449i
\(143\) 12.0025 3.21607i 1.00370 0.268941i
\(144\) −0.389366 + 0.360912i −0.0324471 + 0.0300760i
\(145\) 3.70817 + 12.9440i 0.307947 + 1.07494i
\(146\) −1.95526 0.987369i −0.161818 0.0817153i
\(147\) −9.60285 6.94850i −0.792029 0.573103i
\(148\) 3.10079 20.5372i 0.254883 1.68814i
\(149\) 0.871704 + 1.50983i 0.0714127 + 0.123690i 0.899521 0.436878i \(-0.143916\pi\)
−0.828108 + 0.560569i \(0.810583\pi\)
\(150\) 11.9246 1.08077i 0.973638 0.0882442i
\(151\) 13.5367 + 7.81542i 1.10160 + 0.636010i 0.936641 0.350290i \(-0.113917\pi\)
0.164960 + 0.986300i \(0.447250\pi\)
\(152\) 10.0813 + 0.949214i 0.817701 + 0.0769914i
\(153\) −0.527857 + 0.527857i −0.0426747 + 0.0426747i
\(154\) 17.4045 13.4821i 1.40249 1.08642i
\(155\) 0.659902 2.64394i 0.0530046 0.212367i
\(156\) 6.55456 + 2.86170i 0.524784 + 0.229119i
\(157\) 6.20461 + 23.1559i 0.495181 + 1.84804i 0.529012 + 0.848615i \(0.322563\pi\)
−0.0338301 + 0.999428i \(0.510771\pi\)
\(158\) −2.86094 0.597315i −0.227604 0.0475199i
\(159\) −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
\(163\) −8.16881 2.18883i −0.639830 0.171442i −0.0757038 0.997130i \(-0.524120\pi\)
−0.564127 + 0.825688i \(0.690787\pi\)
\(164\) −0.545948 4.85646i −0.0426314 0.379226i
\(165\) −0.383316 22.2751i −0.0298411 1.73411i
\(166\) −0.0783400 1.39813i −0.00608036 0.108516i
\(167\) −1.37400 + 1.37400i −0.106323 + 0.106323i −0.758267 0.651944i \(-0.773954\pi\)
0.651944 + 0.758267i \(0.273954\pi\)
\(168\) 12.6702 + 0.182096i 0.977528 + 0.0140490i
\(169\) 8.54006i 0.656927i
\(170\) −17.4703 3.33488i −1.33991 0.255773i
\(171\) 0.237584 0.411508i 0.0181685 0.0314688i
\(172\) −17.0349 13.5919i −1.29890 1.03637i
\(173\) −3.93815 + 14.6974i −0.299412 + 1.11742i 0.638238 + 0.769839i \(0.279664\pi\)
−0.937650 + 0.347582i \(0.887003\pi\)
\(174\) 12.8717 + 6.49999i 0.975804 + 0.492763i
\(175\) 10.3568 + 8.23018i 0.782904 + 0.622143i
\(176\) −6.94859 + 22.4864i −0.523770 + 1.69498i
\(177\) −1.27251 + 4.74908i −0.0956478 + 0.356963i
\(178\) 1.07355 5.14195i 0.0804659 0.385405i
\(179\) 9.39695 + 5.42533i 0.702361 + 0.405508i 0.808226 0.588872i \(-0.200428\pi\)
−0.105865 + 0.994380i \(0.533761\pi\)
\(180\) −0.362166 + 0.470281i −0.0269943 + 0.0350527i
\(181\) 2.62305i 0.194970i 0.995237 + 0.0974849i \(0.0310798\pi\)
−0.995237 + 0.0974849i \(0.968920\pi\)
\(182\) 3.05732 + 7.28642i 0.226624 + 0.540106i
\(183\) 8.77185 + 8.77185i 0.648434 + 0.648434i
\(184\) 5.63650 4.66642i 0.415529 0.344013i
\(185\) −0.399542 23.2180i −0.0293749 1.70702i
\(186\) −1.59829 2.44179i −0.117192 0.179040i
\(187\) −8.56509 + 31.9654i −0.626342 + 2.33754i
\(188\) −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 \(-0.666401\pi\)
0.500722 + 0.865608i \(0.333068\pi\)
\(192\) −11.1984 + 7.62248i −0.808172 + 0.550105i
\(193\) 1.95654 + 7.30191i 0.140835 + 0.525603i 0.999906 + 0.0137459i \(0.00437559\pi\)
−0.859071 + 0.511857i \(0.828958\pi\)
\(194\) −5.41614 + 0.303477i −0.388856 + 0.0217884i
\(195\) 7.75821 + 1.93637i 0.555577 + 0.138667i
\(196\) 9.98979 + 9.80837i 0.713557 + 0.700598i
\(197\) −9.05691 + 9.05691i −0.645278 + 0.645278i −0.951848 0.306570i \(-0.900819\pi\)
0.306570 + 0.951848i \(0.400819\pi\)
\(198\) 0.823417 + 0.736037i 0.0585177 + 0.0523079i
\(199\) −0.296991 + 0.514403i −0.0210531 + 0.0364651i −0.876360 0.481657i \(-0.840035\pi\)
0.855307 + 0.518122i \(0.173369\pi\)
\(200\) −14.1171 0.840480i −0.998232 0.0594309i
\(201\) −7.25142 12.5598i −0.511476 0.885902i
\(202\) 4.38922 1.44370i 0.308824 0.101578i
\(203\) 5.33262 + 15.0126i 0.374276 + 1.05368i
\(204\) −15.3284 + 11.3069i −1.07320 + 0.791639i
\(205\) −1.50476 5.25260i −0.105097 0.366858i
\(206\) −13.0666 19.9625i −0.910392 1.39085i
\(207\) −0.0888736 0.331681i −0.00617714 0.0230534i
\(208\) −7.15037 4.49792i −0.495789 0.311875i
\(209\) 21.0646i 1.45707i
\(210\) 14.0024 2.15476i 0.966255 0.148693i
\(211\) 4.15052 0.285734 0.142867 0.989742i \(-0.454368\pi\)
0.142867 + 0.989742i \(0.454368\pi\)
\(212\) 3.54188 + 9.03129i 0.243258 + 0.620271i
\(213\) −4.39341 + 1.17721i −0.301031 + 0.0806611i
\(214\) 9.47095 + 14.4692i 0.647421 + 0.989097i
\(215\) −21.3073 11.8177i −1.45314 0.805960i
\(216\) 2.50762 + 14.7928i 0.170622 + 1.00652i
\(217\) 0.584517 3.17090i 0.0396796 0.215255i
\(218\) 0.318752 + 0.969088i 0.0215886 + 0.0656349i
\(219\) −2.27131 + 1.31134i −0.153481 + 0.0886123i
\(220\) −3.48016 + 26.0824i −0.234632 + 1.75847i
\(221\) −10.2865 5.93891i −0.691944 0.399494i
\(222\) −18.5411 16.5736i −1.24440 1.11235i
\(223\) −17.8824 17.8824i −1.19749 1.19749i −0.974915 0.222576i \(-0.928553\pi\)
−0.222576 0.974915i \(-0.571447\pi\)
\(224\) −14.7653 2.44684i −0.986546 0.163486i
\(225\) −0.311847 + 0.585801i −0.0207898 + 0.0390534i
\(226\) −0.333916 5.95938i −0.0222118 0.396412i
\(227\) 2.48748 0.666517i 0.165100 0.0442383i −0.175322 0.984511i \(-0.556097\pi\)
0.340422 + 0.940273i \(0.389430\pi\)
\(228\) 7.56170 9.47716i 0.500786 0.627640i
\(229\) 7.05872 + 12.2261i 0.466453 + 0.807921i 0.999266 0.0383127i \(-0.0121983\pi\)
−0.532813 + 0.846233i \(0.678865\pi\)
\(230\) 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
\(233\) 0.377137 + 0.101054i 0.0247071 + 0.00662024i 0.271151 0.962537i \(-0.412596\pi\)
−0.246444 + 0.969157i \(0.579262\pi\)
\(234\) −0.331671 + 0.217097i −0.0216820 + 0.0141921i
\(235\) 0.165676 + 9.62770i 0.0108075 + 0.628042i
\(236\) 2.32357 5.32200i 0.151251 0.346433i
\(237\) −2.47445 + 2.47445i −0.160733 + 0.160733i
\(238\) −20.8767 2.65122i −1.35324 0.171853i
\(239\) −8.73515 −0.565030 −0.282515 0.959263i \(-0.591169\pi\)
−0.282515 + 0.959263i \(0.591169\pi\)
\(240\) −10.9287 + 10.4854i −0.705448 + 0.676832i
\(241\) −2.75576 + 4.77312i −0.177514 + 0.307464i −0.941029 0.338327i \(-0.890139\pi\)
0.763514 + 0.645791i \(0.223472\pi\)
\(242\) 32.6988 + 6.82694i 2.10196 + 0.438852i
\(243\) 1.33135 + 0.356733i 0.0854059 + 0.0228844i
\(244\) −8.69777 11.7913i −0.556818 0.754860i
\(245\) 12.8369 + 8.95621i 0.820120 + 0.572191i
\(246\) −5.22328 2.63766i −0.333024 0.168171i
\(247\) 7.30292 + 1.95681i 0.464674 + 0.124509i
\(248\) 1.43605 + 3.13356i 0.0911895 + 0.198981i
\(249\) −1.45204 0.838336i −0.0920193 0.0531274i
\(250\) −15.7200 + 1.69792i −0.994217 + 0.107386i
\(251\) 5.18227 0.327102 0.163551 0.986535i \(-0.447705\pi\)
0.163551 + 0.986535i \(0.447705\pi\)
\(252\) −0.393044 + 0.582045i −0.0247595 + 0.0366654i
\(253\) −10.7638 10.7638i −0.676715 0.676715i
\(254\) 0.694450 + 12.3938i 0.0435737 + 0.777657i
\(255\) −14.7970 + 15.3152i −0.926624 + 0.959073i
\(256\) 14.4225 6.92756i 0.901407 0.432972i
\(257\) 5.31127 19.8219i 0.331308 1.23646i −0.576509 0.817091i \(-0.695585\pi\)
0.907817 0.419367i \(-0.137748\pi\)
\(258\) −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
\(262\) −13.8462 2.89084i −0.855420 0.178597i
\(263\) 10.5417 2.82463i 0.650027 0.174174i 0.0812857 0.996691i \(-0.474097\pi\)
0.568741 + 0.822517i \(0.307431\pi\)
\(264\) 17.9707 + 21.7066i 1.10602 + 1.33595i
\(265\) 5.58382 + 9.29824i 0.343012 + 0.571186i
\(266\) 13.2725 1.80927i 0.813792 0.110933i
\(267\) −4.44731 4.44731i −0.272171 0.272171i
\(268\) 6.25413 + 15.9471i 0.382032 + 0.974126i
\(269\) 1.74432 3.02125i 0.106353 0.184209i −0.807937 0.589269i \(-0.799416\pi\)
0.914290 + 0.405060i \(0.132749\pi\)
\(270\) 5.51471 + 15.8424i 0.335614 + 0.964138i
\(271\) 16.7981 9.69836i 1.02041 0.589134i 0.106187 0.994346i \(-0.466136\pi\)
0.914223 + 0.405213i \(0.132802\pi\)
\(272\) 19.8956 10.5023i 1.20635 0.636793i
\(273\) 9.30448 + 1.71517i 0.563133 + 0.103807i
\(274\) −0.374329 + 0.741271i −0.0226140 + 0.0447818i
\(275\) 1.01221 + 29.4020i 0.0610388 + 1.77301i
\(276\) −0.978782 8.70672i −0.0589158 0.524083i
\(277\) −4.87718 18.2019i −0.293041 1.09364i −0.942761 0.333470i \(-0.891780\pi\)
0.649719 0.760174i \(-0.274886\pi\)
\(278\) −13.6933 12.2402i −0.821271 0.734120i
\(279\) 0.161752 0.00968382
\(280\) −16.7331 + 0.0474479i −0.999996 + 0.00283556i
\(281\) 16.2908 0.971826 0.485913 0.874007i \(-0.338487\pi\)
0.485913 + 0.874007i \(0.338487\pi\)
\(282\) 7.68834 + 6.87247i 0.457834 + 0.409250i
\(283\) −1.50164 5.60419i −0.0892632 0.333135i 0.906824 0.421509i \(-0.138499\pi\)
−0.996087 + 0.0883744i \(0.971833\pi\)
\(284\) 5.33858 0.600147i 0.316787 0.0356122i
\(285\) 6.57464 11.8541i 0.389448 0.702175i
\(286\) −7.92130 + 15.6863i −0.468397 + 0.927551i
\(287\) −2.16395 6.09205i −0.127734 0.359602i
\(288\) −0.0135649 0.750694i −0.000799317 0.0442351i
\(289\) 12.6728 7.31662i 0.745456 0.430390i
\(290\) −17.1428 8.28975i −1.00666 0.486791i
\(291\) −3.24758 + 5.62497i −0.190376 + 0.329742i
\(292\) 2.88387 1.13099i 0.168766 0.0661864i
\(293\) −11.5039 11.5039i −0.672066 0.672066i 0.286126 0.958192i \(-0.407632\pi\)
−0.958192 + 0.286126i \(0.907632\pi\)
\(294\) 16.3769 3.57614i 0.955122 0.208565i
\(295\) 1.57225 6.29932i 0.0915398 0.366760i
\(296\) 18.7315 + 22.6255i 1.08874 + 1.31508i
\(297\) 30.1484 8.07825i 1.74939 0.468748i
\(298\) −2.41351 0.503899i −0.139811 0.0291901i
\(299\) 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
\(303\) 1.43189 5.34389i 0.0822599 0.306998i
\(304\) −10.5024 + 9.73488i −0.602351 + 0.558334i
\(305\) −11.7811 11.3825i −0.674586 0.651762i
\(306\) −0.0590610 1.05406i −0.00337630 0.0602566i
\(307\) −12.3338 12.3338i −0.703927 0.703927i 0.261324 0.965251i \(-0.415841\pi\)
−0.965251 + 0.261324i \(0.915841\pi\)
\(308\) −2.18834 + 31.0576i −0.124692 + 1.76967i
\(309\) −28.5671 −1.62512
\(310\) 2.16577 + 3.18768i 0.123007 + 0.181048i
\(311\) 16.9086 + 9.76219i 0.958799 + 0.553563i 0.895803 0.444451i \(-0.146601\pi\)
0.0629960 + 0.998014i \(0.479934\pi\)
\(312\) −9.19491 + 4.21386i −0.520559 + 0.238563i
\(313\) −30.4907 8.16997i −1.72344 0.461794i −0.744784 0.667305i \(-0.767448\pi\)
−0.978655 + 0.205511i \(0.934114\pi\)
\(314\) −30.2629 15.2822i −1.70783 0.862424i
\(315\) −0.325111 + 0.714758i −0.0183179 + 0.0402720i
\(316\) 3.32621 2.45355i 0.187114 0.138023i
\(317\) 10.7973 + 2.89312i 0.606436 + 0.162494i 0.548954 0.835853i \(-0.315026\pi\)
0.0574819 + 0.998347i \(0.481693\pi\)
\(318\) 11.3703 + 2.37391i 0.637612 + 0.133122i
\(319\) −17.7151 + 30.6835i −0.991857 + 1.71795i
\(320\) 14.6125 10.3187i 0.816862 0.576833i
\(321\) 20.7060 1.15570
\(322\) 5.85764 7.70668i 0.326434 0.429477i
\(323\) −14.2379 + 14.2379i −0.792216 + 0.792216i
\(324\) 15.7342 + 6.86949i 0.874121 + 0.381638i
\(325\) −10.2875 2.38040i −0.570647 0.132041i
\(326\) 10.0069 6.55007i 0.554229 0.362775i
\(327\) 1.17987 + 0.316145i 0.0652468 + 0.0174828i
\(328\) 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 0.885681 0.464295i \(-0.153692\pi\)
−0.844931 + 0.534875i \(0.820359\pi\)
\(332\) 1.54799 + 1.23512i 0.0849572 + 0.0677862i
\(333\) 1.33140 0.356747i 0.0729602 0.0195496i
\(334\) −0.153735 2.74370i −0.00841199 0.150128i
\(335\) 9.85972 + 16.4185i 0.538694 + 0.897038i
\(336\) −12.1335 + 13.1876i −0.661939 + 0.719441i
\(337\) 18.6334 + 18.6334i 1.01503 + 1.01503i 0.999885 + 0.0151418i \(0.00481996\pi\)
0.0151418 + 0.999885i \(0.495180\pi\)
\(338\) 9.00445 + 8.04891i 0.489777 + 0.437803i
\(339\) −6.18917 3.57332i −0.336149 0.194076i
\(340\) 19.9818 15.2772i 1.08366 0.828523i
\(341\) 6.20990 3.58529i 0.336285 0.194154i
\(342\) 0.209964 + 0.638345i 0.0113536 + 0.0345178i
\(343\) 15.8192 + 9.63090i 0.854154 + 0.520020i
\(344\) 30.3862 5.15096i 1.63831 0.277721i
\(345\) −2.69775 9.41692i −0.145242 0.506990i
\(346\) −11.7849 18.0044i −0.633562 0.967924i
\(347\) 6.04259 1.61911i 0.324383 0.0869182i −0.0929527 0.995671i \(-0.529631\pi\)
0.417336 + 0.908752i \(0.362964\pi\)
\(348\) −18.9849 + 7.44550i −1.01770 + 0.399120i
\(349\) 25.9932 1.39138 0.695692 0.718340i \(-0.255098\pi\)
0.695692 + 0.718340i \(0.255098\pi\)
\(350\) −18.4389 + 3.16317i −0.985603 + 0.169079i
\(351\) 11.2027i 0.597955i
\(352\) −17.1602 28.5196i −0.914641 1.52010i
\(353\) 3.47213 + 12.9582i 0.184803 + 0.689694i 0.994673 + 0.103084i \(0.0328710\pi\)
−0.809870 + 0.586610i \(0.800462\pi\)
\(354\) −3.80800 5.81767i −0.202393 0.309205i
\(355\) 5.77405 1.65414i 0.306455 0.0877926i
\(356\) 4.40975 + 5.97816i 0.233716 + 0.316842i
\(357\) −16.3458 + 19.1761i −0.865113 + 1.01491i
\(358\) −14.5769 + 4.79462i −0.770412 + 0.253403i
\(359\) −4.00935 6.94440i −0.211605 0.366511i 0.740612 0.671933i \(-0.234536\pi\)
−0.952217 + 0.305422i \(0.901202\pi\)
\(360\) −0.154517 0.825095i −0.00814374 0.0434863i
\(361\) −3.09165 + 5.35489i −0.162718 + 0.281836i
\(362\) −2.76569 2.47220i −0.145361 0.129936i
\(363\) 28.2814 28.2814i 1.48439 1.48439i
\(364\) −10.5641 3.64381i −0.553712 0.190987i
\(365\) 2.96911 1.78303i 0.155410 0.0933278i
\(366\) −17.5162 + 0.981469i −0.915588 + 0.0513022i
\(367\) −2.83454 10.5787i −0.147962 0.552202i −0.999606 0.0280804i \(-0.991061\pi\)
0.851644 0.524121i \(-0.175606\pi\)
\(368\) −0.392173 + 10.3411i −0.0204434 + 0.539065i
\(369\) 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
\(373\) 4.29241 16.0195i 0.222252 0.829457i −0.761234 0.648477i \(-0.775406\pi\)
0.983487 0.180980i \(-0.0579270\pi\)
\(374\) −25.6311 39.1579i −1.32535 2.02481i
\(375\) −8.60729 + 16.8619i −0.444479 + 0.870745i
\(376\) −7.76728 9.38198i −0.400567 0.483839i
\(377\) −8.99208 8.99208i −0.463116 0.463116i
\(378\) 7.67951 + 18.3024i 0.394992 + 0.941371i
\(379\) 9.42276i 0.484015i −0.970274 0.242007i \(-0.922194\pi\)
0.970274 0.242007i \(-0.0778058\pi\)
\(380\) −9.76870 + 12.6849i −0.501124 + 0.650721i
\(381\) 12.8717 + 7.43148i 0.659437 + 0.380726i
\(382\) −0.00666403 + 0.0319185i −0.000340962 + 0.00163309i
\(383\) 0.531192 1.98243i 0.0271426 0.101298i −0.951026 0.309112i \(-0.899968\pi\)
0.978168 + 0.207814i \(0.0666349\pi\)
\(384\) 2.51737 18.9914i 0.128464 0.969152i
\(385\) 3.36134 + 34.6469i 0.171310 + 1.76577i
\(386\) −9.54299 4.81904i −0.485726 0.245283i
\(387\) 0.374316 1.39697i 0.0190276 0.0710118i
\(388\) 4.78467 5.99668i 0.242905 0.304435i
\(389\) 15.8557 27.4629i 0.803916 1.39242i −0.113105 0.993583i \(-0.536080\pi\)
0.917021 0.398840i \(-0.130587\pi\)
\(390\) −9.35370 + 6.35508i −0.473643 + 0.321802i
\(391\) 14.5509i 0.735869i
\(392\) −19.7570 + 1.28874i −0.997879 + 0.0650910i
\(393\) −11.9757 + 11.9757i −0.604093 + 0.604093i
\(394\) −1.01336 18.0855i −0.0510525 0.911132i
\(395\) 3.21090 3.32334i 0.161558 0.167215i
\(396\) −1.55212 + 0.174485i −0.0779971 + 0.00876819i
\(397\) 1.08060 + 0.289547i 0.0542339 + 0.0145319i 0.285834 0.958279i \(-0.407729\pi\)
−0.231600 + 0.972811i \(0.574396\pi\)
\(398\) −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 0.987787 + 0.155813i \(0.0497996\pi\)
−0.358956 + 0.933355i \(0.616867\pi\)
\(402\) 20.0772 + 4.19177i 1.00136 + 0.209066i
\(403\) 0.666117 + 2.48598i 0.0331817 + 0.123836i
\(404\) −2.61459 + 5.98857i −0.130081 + 0.297942i
\(405\) 18.6235 + 4.64825i 0.925411 + 0.230974i
\(406\) −20.8549 8.52666i −1.03501 0.423171i
\(407\) 43.2070 43.2070i 2.14169 2.14169i
\(408\) 2.52512 26.8185i 0.125012 1.32771i
\(409\) −24.2618 14.0075i −1.19967 0.692629i −0.239187 0.970974i \(-0.576881\pi\)
−0.960481 + 0.278345i \(0.910214\pi\)
\(410\) 6.95645 + 3.36394i 0.343554 + 0.166133i
\(411\) 0.497153 + 0.861094i 0.0245227 + 0.0424746i
\(412\) 33.3631 + 5.03731i 1.64368 + 0.248170i
\(413\) 1.39264 7.55482i 0.0685272 0.371748i
\(414\) 0.433479 + 0.218899i 0.0213043 + 0.0107583i
\(415\) 1.93624 + 1.07390i 0.0950461 + 0.0527156i
\(416\) 11.4817 3.29995i 0.562935 0.161793i
\(417\) −21.2418 + 5.69172i −1.04021 + 0.278725i
\(418\) 22.2100 + 19.8531i 1.08633 + 0.971048i
\(419\) 40.0678i 1.95744i 0.205196 + 0.978721i \(0.434217\pi\)
−0.205196 + 0.978721i \(0.565783\pi\)
\(420\) −10.9251 + 16.7946i −0.533092 + 0.819494i
\(421\) 31.9415i 1.55673i 0.627810 + 0.778366i \(0.283951\pi\)
−0.627810 + 0.778366i \(0.716049\pi\)
\(422\) −3.91182 + 4.37622i −0.190425 + 0.213031i
\(423\) −0.552083 + 0.147930i −0.0268432 + 0.00719262i
\(424\) −12.8606 4.77741i −0.624565 0.232012i
\(425\) 19.1891 20.5575i 0.930809 0.997183i
\(426\) 2.89952 5.74182i 0.140482 0.278192i
\(427\) −14.7511 12.5740i −0.713857 0.608497i
\(428\) −24.1823 3.65115i −1.16890 0.176485i
\(429\) 10.5204 + 18.2219i 0.507931 + 0.879762i
\(430\) 32.5422 11.3279i 1.56932 0.546279i
\(431\) −7.25976 4.19142i −0.349690 0.201894i 0.314859 0.949139i \(-0.398043\pi\)
−0.664549 + 0.747245i \(0.731376\pi\)
\(432\) −17.9606 11.2981i −0.864130 0.543579i
\(433\) −21.6628 + 21.6628i −1.04105 + 1.04105i −0.0419294 + 0.999121i \(0.513350\pi\)
−0.999121 + 0.0419294i \(0.986650\pi\)
\(434\) 2.79243 + 3.60484i 0.134041 + 0.173038i
\(435\) −19.5461 + 11.7379i −0.937164 + 0.562790i
\(436\) −1.32221 0.577271i −0.0633222 0.0276462i
\(437\) −2.39719 8.94642i −0.114673 0.427965i
\(438\) 0.758037 3.63075i 0.0362204 0.173484i
\(439\) −19.5876 33.9267i −0.934863 1.61923i −0.774877 0.632112i \(-0.782188\pi\)
−0.159986 0.987119i \(-0.551145\pi\)
\(440\) −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
\(443\) −15.1187 4.05106i −0.718313 0.192471i −0.118894 0.992907i \(-0.537935\pi\)
−0.599419 + 0.800435i \(0.704602\pi\)
\(444\) 34.9496 3.92893i 1.65864 0.186459i
\(445\) 5.97301 + 5.77092i 0.283148 + 0.273568i
\(446\) 35.7087 2.00083i 1.69086 0.0947420i
\(447\) −2.08746 + 2.08746i −0.0987335 + 0.0987335i
\(448\) 16.4960 13.2620i 0.779363 0.626573i
\(449\) 3.18421i 0.150272i −0.997173 0.0751360i \(-0.976061\pi\)
0.997173 0.0751360i \(-0.0239391\pi\)
\(450\) −0.323743 0.880916i −0.0152614 0.0415268i
\(451\) 7.18871 12.4512i 0.338503 0.586305i
\(452\) 6.59816 + 5.26459i 0.310351 + 0.247625i
\(453\) −6.85035 + 25.5659i −0.321858 + 1.20119i
\(454\) −1.64166 + 3.25093i −0.0770469 + 0.152574i
\(455\) −12.3241 2.05320i −0.577761 0.0962555i
\(456\) 2.86568 + 16.9050i 0.134198 + 0.791650i
\(457\) −1.45706 + 5.43783i −0.0681585 + 0.254371i −0.991595 0.129380i \(-0.958701\pi\)
0.923437 + 0.383751i \(0.125368\pi\)
\(458\) −19.5437 4.08038i −0.913215 0.190663i
\(459\) −25.8380 14.9176i −1.20602 0.696294i
\(460\) 1.49015 + 11.4736i 0.0694786 + 0.534960i
\(461\) 39.2321i 1.82722i −0.406593 0.913610i \(-0.633283\pi\)
0.406593 0.913610i \(-0.366717\pi\)
\(462\) 29.6790 + 22.5582i 1.38079 + 1.04950i
\(463\) 5.47000 + 5.47000i 0.254213 + 0.254213i 0.822695 0.568483i \(-0.192469\pi\)
−0.568483 + 0.822695i \(0.692469\pi\)
\(464\) 23.4851 5.34783i 1.09027 0.248267i
\(465\) 4.61365 0.0793930i 0.213953 0.00368176i
\(466\) −0.461996 + 0.302403i −0.0214016 + 0.0140086i
\(467\) 4.58133 17.0978i 0.211999 0.791191i −0.775203 0.631713i \(-0.782352\pi\)
0.987202 0.159478i \(-0.0509811\pi\)
\(468\) 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
\(472\) 3.42146 + 7.46585i 0.157486 + 0.343644i
\(473\) −16.5937 61.9286i −0.762979 2.84748i
\(474\) −0.276862 4.94115i −0.0127167 0.226955i
\(475\) −8.41144 + 15.8008i −0.385943 + 0.724990i
\(476\) 22.4715 19.5132i 1.02998 0.894386i
\(477\) −0.455229 + 0.455229i −0.0208435 + 0.0208435i
\(478\) 8.23279 9.21016i 0.376559 0.421263i
\(479\) 7.99779 13.8526i 0.365428 0.632940i −0.623417 0.781890i \(-0.714256\pi\)
0.988845 + 0.148950i \(0.0475892\pi\)
\(480\) −0.755376 21.4054i −0.0344781 0.977020i
\(481\) 10.9658 + 18.9933i 0.499997 + 0.866020i
\(482\) −2.43540 7.40424i −0.110929 0.337254i
\(483\) −3.87955 10.9219i −0.176526 0.496964i
\(484\) −38.0164 + 28.0426i −1.72802 + 1.27466i
\(485\) 4.16011 7.50067i 0.188901 0.340588i
\(486\) −1.63091 + 1.06753i −0.0739797 + 0.0484239i
\(487\) 6.33627 + 23.6473i 0.287124 + 1.07156i 0.947274 + 0.320426i \(0.103826\pi\)
−0.660150 + 0.751134i \(0.729507\pi\)
\(488\) 20.6300 + 1.94244i 0.933878 + 0.0879301i
\(489\) 14.3202i 0.647582i
\(490\) −21.5419 + 5.09382i −0.973163 + 0.230115i
\(491\) −26.6903 −1.20452 −0.602259 0.798301i \(-0.705732\pi\)
−0.602259 + 0.798301i \(0.705732\pi\)
\(492\) 7.70399 3.02134i 0.347323 0.136213i
\(493\) 32.7134 8.76554i 1.47334 0.394780i
\(494\) −8.94615 + 5.85577i −0.402506 + 0.263463i
\(495\) −1.67873 + 0.480920i −0.0754533 + 0.0216157i
\(496\) −4.65742 1.43920i −0.209125 0.0646222i
\(497\) 6.69683 2.37877i 0.300394 0.106703i
\(498\) 2.25246 0.740876i 0.100935 0.0331995i
\(499\) 14.5995 8.42903i 0.653563 0.377335i −0.136257 0.990674i \(-0.543507\pi\)
0.789820 + 0.613339i \(0.210174\pi\)
\(500\) 13.0257 18.1750i 0.582525 0.812813i
\(501\) −2.84949 1.64515i −0.127306 0.0735000i
\(502\) −4.88423 + 5.46407i −0.217994 + 0.243873i
\(503\) 11.1121 + 11.1121i 0.495465 + 0.495465i 0.910023 0.414558i \(-0.136064\pi\)
−0.414558 + 0.910023i \(0.636064\pi\)
\(504\) −0.243255 0.962989i −0.0108355 0.0428949i
\(505\) −1.76917 + 7.08829i −0.0787269 + 0.315425i
\(506\) 21.4939 1.20435i 0.955521 0.0535397i
\(507\) 13.9682 3.74276i 0.620348 0.166222i
\(508\) −13.7223 10.9488i −0.608828 0.485776i
\(509\) 9.00348 + 15.5945i 0.399072 + 0.691213i 0.993612 0.112853i \(-0.0359990\pi\)
−0.594540 + 0.804066i \(0.702666\pi\)
\(510\) −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
\(513\) 18.3438 + 4.91520i 0.809898 + 0.217012i
\(514\) 15.8940 + 24.2820i 0.701054 + 1.07104i
\(515\) 37.7183 0.649066i 1.66207 0.0286013i
\(516\) 14.7653 33.8191i 0.650006 1.48880i
\(517\) −17.9164 + 17.9164i −0.787963 + 0.787963i
\(518\) 30.9354 + 23.5131i 1.35922 + 1.03311i
\(519\) −25.7650 −1.13096
\(520\) 12.0447 5.77265i 0.528194 0.253147i
\(521\) −5.35164 + 9.26932i −0.234460 + 0.406096i −0.959116 0.283015i \(-0.908665\pi\)
0.724656 + 0.689111i \(0.241999\pi\)
\(522\) 0.231001 1.10642i 0.0101106 0.0484267i
\(523\) −19.0949 5.11646i −0.834961 0.223727i −0.184084 0.982911i \(-0.558932\pi\)
−0.650877 + 0.759183i \(0.725599\pi\)
\(524\) 16.0979 11.8745i 0.703241 0.518741i
\(525\) −8.92234 + 20.5466i −0.389403 + 0.896729i
\(526\) −6.95718 + 13.7771i −0.303347 + 0.600709i
\(527\) −6.62072 1.77402i −0.288403 0.0772774i
\(528\) −39.8241 1.51028i −1.73312 0.0657267i
\(529\) 14.1221 + 8.15340i 0.614004 + 0.354495i
\(530\) −15.0666 2.87603i −0.654449 0.124927i
\(531\) 0.385381 0.0167241
\(532\) −10.6016 + 15.6995i −0.459637 + 0.680659i
\(533\) 3.64894 + 3.64894i 0.158053 + 0.158053i
\(534\) 8.88069 0.497602i 0.384305 0.0215334i
\(535\) −27.3390 + 0.470458i −1.18197 + 0.0203397i
\(536\) −22.7088 8.43578i −0.980869 0.364370i
\(537\) −4.75540 + 17.7474i −0.205211 + 0.765856i
\(538\) 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 \(-0.938506\pi\)
−0.324432 + 0.945909i \(0.605173\pi\)
\(542\) −5.60625 + 26.8521i −0.240809 + 1.15340i
\(543\) −4.29027 + 1.14957i −0.184113 + 0.0493330i
\(544\) −7.67804 + 30.8757i −0.329193 + 1.32379i
\(545\) −1.56501 0.390611i −0.0670377 0.0167320i
\(546\) −10.5778 + 8.19391i −0.452688 + 0.350667i
\(547\) 14.6808 + 14.6808i 0.627707 + 0.627707i 0.947490 0.319784i \(-0.103610\pi\)
−0.319784 + 0.947490i \(0.603610\pi\)
\(548\) −0.428779 1.09332i −0.0183165 0.0467045i
\(549\) 0.486184 0.842096i 0.0207498 0.0359398i
\(550\) −31.9548 26.6438i −1.36256 1.13610i
\(551\) −18.6694 + 10.7788i −0.795341 + 0.459191i
\(552\) 10.1027 + 7.17399i 0.429998 + 0.305345i
\(553\) 3.54699 4.16114i 0.150833 0.176950i
\(554\) 23.7883 + 12.0127i 1.01067 + 0.510370i
\(555\) 37.8004 10.8290i 1.60454 0.459666i
\(556\) 25.8116 2.90166i 1.09466 0.123058i
\(557\) 6.45647 + 24.0959i 0.273569 + 1.02098i 0.956794 + 0.290767i \(0.0939104\pi\)
−0.683224 + 0.730208i \(0.739423\pi\)
\(558\) −0.152449 + 0.170547i −0.00645370 + 0.00721985i
\(559\) 23.0117 0.973289
\(560\) 15.7208 17.6878i 0.664324 0.747445i
\(561\) −56.0364 −2.36586
\(562\) −15.3539 + 17.1766i −0.647664 + 0.724552i
\(563\) −5.16693 19.2833i −0.217760 0.812693i −0.985177 0.171543i \(-0.945125\pi\)
0.767416 0.641149i \(-0.221542\pi\)
\(564\) −14.4924 + 1.62919i −0.610239 + 0.0686011i
\(565\) 8.25300 + 4.57738i 0.347206 + 0.192572i
\(566\) 7.32422 + 3.69860i 0.307860 + 0.155464i
\(567\) 22.3354 + 4.11725i 0.937997 + 0.172908i
\(568\) −4.39878 + 6.19452i −0.184569 + 0.259916i
\(569\) −31.1711 + 17.9967i −1.30676 + 0.754460i −0.981554 0.191183i \(-0.938768\pi\)
−0.325208 + 0.945642i \(0.605434\pi\)
\(570\) 6.30214 + 18.1045i 0.263968 + 0.758314i
\(571\) 14.1980 24.5916i 0.594167 1.02913i −0.399496 0.916735i \(-0.630815\pi\)
0.993664 0.112393i \(-0.0358517\pi\)
\(572\) −9.07355 23.1362i −0.379384 0.967374i
\(573\) 0.0276066 + 0.0276066i 0.00115328 + 0.00115328i
\(574\) 8.46283 + 3.46007i 0.353232 + 0.144421i
\(575\) 3.77590 + 12.3723i 0.157466 + 0.515959i
\(576\) 0.804301 + 0.693219i 0.0335125 + 0.0288841i
\(577\) −19.2098 + 5.14724i −0.799713 + 0.214283i −0.635458 0.772135i \(-0.719189\pi\)
−0.164255 + 0.986418i \(0.552522\pi\)
\(578\) −4.22946 + 20.2577i −0.175922 + 0.842610i
\(579\) −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
\(583\) −7.38663 + 27.5673i −0.305923 + 1.14172i
\(584\) −1.52552 + 4.10664i −0.0631265 + 0.169934i
\(585\) −0.0107840 0.626678i −0.000445865 0.0259100i
\(586\) 22.9718 1.28716i 0.948957 0.0531719i
\(587\) −23.6343 23.6343i −0.975491 0.975491i 0.0242162 0.999707i \(-0.492291\pi\)
−0.999707 + 0.0242162i \(0.992291\pi\)
\(588\) −11.6645 + 20.6380i −0.481035 + 0.851095i
\(589\) 4.36293 0.179771
\(590\) 5.16004 + 7.59478i 0.212435 + 0.312672i
\(591\) −18.7828 10.8443i −0.772621 0.446073i
\(592\) −41.5100 1.57422i −1.70605 0.0647000i
\(593\) 26.2174 + 7.02493i 1.07662 + 0.288479i 0.753210 0.657780i \(-0.228504\pi\)
0.323410 + 0.946259i \(0.395171\pi\)
\(594\) −19.8971 + 39.4015i −0.816387 + 1.61666i
\(595\) 21.1464 25.6904i 0.866917 1.05320i
\(596\) 2.80601 2.06983i 0.114939 0.0847836i
\(597\) −0.971519 0.260318i −0.0397616 0.0106541i
\(598\) −1.57916 + 7.56366i −0.0645767 + 0.309301i
\(599\) −13.9732 + 24.2023i −0.570929 + 0.988878i 0.425542 + 0.904939i \(0.360083\pi\)
−0.996471 + 0.0839390i \(0.973250\pi\)
\(600\) −4.81227 23.4584i −0.196460 0.957685i
\(601\) 5.36533 0.218856 0.109428 0.993995i \(-0.465098\pi\)
0.109428 + 0.993995i \(0.465098\pi\)
\(602\) 37.5952 15.7747i 1.53227 0.642927i
\(603\) −0.803827 + 0.803827i −0.0327344 + 0.0327344i
\(604\) 12.5085 28.6501i 0.508965 1.16576i
\(605\) −36.6985 + 37.9837i −1.49201 + 1.54426i
\(606\) 4.28494 + 6.54631i 0.174064 + 0.265926i
\(607\) −28.1026 7.53008i −1.14065 0.305636i −0.361438 0.932396i \(-0.617714\pi\)
−0.779213 + 0.626760i \(0.784381\pi\)
\(608\) −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
\(612\) 1.16704 + 0.931168i 0.0471749 + 0.0376402i
\(613\) −13.2603 + 3.55308i −0.535578 + 0.143508i −0.516463 0.856310i \(-0.672752\pi\)
−0.0191152 + 0.999817i \(0.506085\pi\)
\(614\) 24.6289 1.38001i 0.993943 0.0556926i
\(615\) 7.93171 4.76319i 0.319837 0.192070i
\(616\) −30.6840 31.5788i −1.23629 1.27235i
\(617\) −19.3575 19.3575i −0.779304 0.779304i 0.200409 0.979712i \(-0.435773\pi\)
−0.979712 + 0.200409i \(0.935773\pi\)
\(618\) 26.9242 30.1205i 1.08305 1.21162i
\(619\) 3.77825 + 2.18138i 0.151861 + 0.0876769i 0.574005 0.818852i \(-0.305389\pi\)
−0.422144 + 0.906529i \(0.638722\pi\)
\(620\) −5.40223 0.720816i −0.216959 0.0289487i
\(621\) 11.8852 6.86190i 0.476935 0.275358i
\(622\) −26.2292 + 8.62730i −1.05170 + 0.345923i
\(623\) 7.47878 + 6.37497i 0.299631 + 0.255408i
\(624\) 4.22311 13.6664i 0.169060 0.547095i
\(625\) 10.9814 22.4590i 0.439258 0.898361i
\(626\) 37.3515 24.4487i 1.49286 0.977165i
\(627\) 34.4533 9.23173i 1.37593 0.368680i
\(628\) 44.6356 17.5052i 1.78116 0.698533i
\(629\) −58.4086 −2.32890
\(630\) −0.447211 1.01644i −0.0178173 0.0404960i
\(631\) 5.99910i 0.238820i 0.992845 + 0.119410i \(0.0381003\pi\)
−0.992845 + 0.119410i \(0.961900\pi\)
\(632\) −0.547943 + 5.81953i −0.0217960 + 0.231488i
\(633\) 1.81900 + 6.78861i 0.0722988 + 0.269823i
\(634\) −13.2268 + 8.65768i −0.525302 + 0.343840i
\(635\) −17.1639 9.51963i −0.681128 0.377775i
\(636\) −13.2194 + 9.75116i −0.524181 + 0.386659i
\(637\) −14.7050 1.51677i −0.582633 0.0600967i
\(638\) −15.6557 47.5974i −0.619815 1.88440i
\(639\) 0.178259 + 0.308754i 0.00705183 + 0.0122141i
\(640\) −2.89229 + 25.1323i −0.114328 + 0.993443i
\(641\) −17.7597 + 30.7607i −0.701466 + 1.21498i 0.266485 + 0.963839i \(0.414138\pi\)
−0.967952 + 0.251137i \(0.919196\pi\)
\(642\) −19.5152 + 21.8320i −0.770205 + 0.861640i
\(643\) 16.7157 16.7157i 0.659204 0.659204i −0.295988 0.955192i \(-0.595649\pi\)
0.955192 + 0.295988i \(0.0956488\pi\)
\(644\) 2.60499 + 13.4396i 0.102651 + 0.529596i
\(645\) 9.99096 40.0295i 0.393394 1.57616i
\(646\) −1.59305 28.4311i −0.0626778 1.11861i
\(647\) −4.30781 16.0770i −0.169358 0.632051i −0.997444 0.0714508i \(-0.977237\pi\)
0.828087 0.560600i \(-0.189430\pi\)
\(648\) −22.0723 + 10.1153i −0.867083 + 0.397368i
\(649\) 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
\(653\) 3.66413 13.6747i 0.143388 0.535133i −0.856433 0.516257i \(-0.827325\pi\)
0.999822 0.0188753i \(-0.00600854\pi\)
\(654\) −1.44535 + 0.946064i −0.0565176 + 0.0369940i
\(655\) 15.5399 16.0841i 0.607193 0.628456i
\(656\) −9.53015 + 2.17012i −0.372090 + 0.0847291i
\(657\) 0.145364 + 0.145364i 0.00567118 + 0.00567118i
\(658\) −12.8278 9.75006i −0.500080 0.380097i
\(659\) 12.6643i 0.493332i −0.969101 0.246666i \(-0.920665\pi\)
0.969101 0.246666i \(-0.0793350\pi\)
\(660\) −44.1857 + 5.73867i −1.71992 + 0.223378i
\(661\) 4.18665 + 2.41717i 0.162842 + 0.0940169i 0.579206 0.815181i \(-0.303363\pi\)
−0.416364 + 0.909198i \(0.636696\pi\)
\(662\) −2.05266 0.428559i −0.0797788 0.0166564i
\(663\) 5.20556 19.4274i 0.202167 0.754498i
\(664\) −2.76125 + 0.468079i −0.107157 + 0.0181650i
\(665\) −8.76922 + 19.2791i −0.340056 + 0.747613i
\(666\) −0.878683 + 1.74003i −0.0340483 + 0.0674247i
\(667\) −4.03203 + 15.0477i −0.156121 + 0.582651i
\(668\) 3.03779 + 2.42381i 0.117536 + 0.0937801i
\(669\) 21.4114 37.0856i 0.827811 1.43381i
\(670\) −26.6040 5.07840i −1.02780 0.196196i
\(671\) 43.1058i 1.66408i
\(672\) −2.46895 25.2225i −0.0952417 0.972978i
\(673\) 8.02068 8.02068i 0.309175 0.309175i −0.535415 0.844589i \(-0.679845\pi\)
0.844589 + 0.535415i \(0.179845\pi\)
\(674\) −37.2085 + 2.08486i −1.43322 + 0.0803060i
\(675\) −25.8405 5.97919i −0.994603 0.230139i
\(676\) −16.9732 + 1.90807i −0.652815 + 0.0733875i
\(677\) 35.5218 + 9.51804i 1.36521 + 0.365808i 0.865728 0.500514i \(-0.166856\pi\)
0.499485 + 0.866322i \(0.333522\pi\)
\(678\) 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
\(682\) −2.07252 + 9.92668i −0.0793608 + 0.380112i
\(683\) 6.54404 + 24.4227i 0.250401 + 0.934508i 0.970592 + 0.240732i \(0.0773875\pi\)
−0.720191 + 0.693776i \(0.755946\pi\)
\(684\) −0.870946 0.380252i −0.0333015 0.0145393i
\(685\) −0.675976 1.12564i −0.0258277 0.0430086i
\(686\) −25.0640 + 7.60235i −0.956948 + 0.290259i
\(687\) −16.9034 + 16.9034i −0.644907 + 0.644907i
\(688\) −23.2076 + 36.8933i −0.884782 + 1.40654i
\(689\) −8.87117 5.12178i −0.337965 0.195124i
\(690\) 12.4716 + 6.03091i 0.474786 + 0.229593i
\(691\) 0.367720 + 0.636909i 0.0139887 + 0.0242292i 0.872935 0.487836i \(-0.162214\pi\)
−0.858946 + 0.512066i \(0.828880\pi\)
\(692\) 30.0907 + 4.54322i 1.14387 + 0.172707i
\(693\) −1.94702 + 0.691597i −0.0739610 + 0.0262716i
\(694\) −3.98793 + 7.89716i −0.151380 + 0.299772i
\(695\) 27.9171 7.99764i 1.05896 0.303368i
\(696\) 10.0427 27.0346i 0.380669 1.02474i
\(697\) −13.2749 + 3.55701i −0.502824 + 0.134731i
\(698\) −24.4983 + 27.4067i −0.927276 + 1.03736i
\(699\) 0.661135i 0.0250064i
\(700\) 14.0433 22.4229i 0.530788 0.847505i
\(701\) 17.9127i 0.676552i 0.941047 + 0.338276i \(0.109844\pi\)
−0.941047 + 0.338276i \(0.890156\pi\)
\(702\) −11.8119 10.5584i −0.445810 0.398501i
\(703\) 35.9118 9.62253i 1.35444 0.362921i
\(704\) 46.2438 + 8.78614i 1.74288 + 0.331140i
\(705\) −15.6745 + 4.49041i −0.590336 + 0.169118i
\(706\) −16.9353 8.55200i −0.637367 0.321859i
\(707\) −1.56706 + 8.50103i −0.0589354 + 0.319714i
\(708\) 9.72302 + 1.46802i 0.365413 + 0.0551717i
\(709\) −15.5470 26.9282i −0.583880 1.01131i −0.995014 0.0997345i \(-0.968201\pi\)
0.411134 0.911575i \(-0.365133\pi\)
\(710\) −3.69789 + 7.64704i −0.138779 + 0.286988i
\(711\) 0.237547 + 0.137148i 0.00890870 + 0.00514344i
\(712\) −10.4594 0.984812i −0.391982 0.0369074i
\(713\) 2.22942 2.22942i 0.0834925 0.0834925i
\(714\) −4.81306 35.3079i −0.180124 1.32137i
\(715\) −14.3046 23.8201i −0.534961 0.890822i
\(716\) 8.68321 19.8884i 0.324507 0.743265i
\(717\) −3.82826 14.2873i −0.142969 0.533567i
\(718\) 11.1008 + 2.31765i 0.414278 + 0.0864940i
\(719\) 18.0789 + 31.3137i 0.674231 + 1.16780i 0.976693 + 0.214641i \(0.0688581\pi\)
−0.302462 + 0.953161i \(0.597809\pi\)
\(720\) 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
\(723\) −9.01468 2.41548i −0.335260 0.0898326i
\(724\) 5.21326 0.586058i 0.193749 0.0217807i
\(725\) 25.5408 15.9422i 0.948562 0.592077i
\(726\) 3.16436 + 56.4742i 0.117440 + 2.09596i
\(727\) −24.4719 + 24.4719i −0.907613 + 0.907613i −0.996079 0.0884663i \(-0.971803\pi\)
0.0884663 + 0.996079i \(0.471803\pi\)
\(728\) 13.7985 7.70435i 0.511408 0.285542i
\(729\) 28.0865i 1.04024i
\(730\) −0.918374 + 4.81105i −0.0339906 + 0.178065i
\(731\) −30.6426 + 53.0745i −1.13336 + 1.96303i
\(732\) 15.4740 19.3937i 0.571936 0.716814i
\(733\) 4.68477 17.4838i 0.173036 0.645779i −0.823842 0.566820i \(-0.808174\pi\)
0.996878 0.0789595i \(-0.0251598\pi\)
\(734\) 13.8254 + 6.98160i 0.510306 + 0.257695i
\(735\) −9.02293 + 24.9212i −0.332816 + 0.919234i
\(736\) −10.5338 10.1598i −0.388280 0.374497i
\(737\) −13.0430 + 48.6773i −0.480446 + 1.79305i
\(738\) −0.0937391 + 0.448979i −0.00345058 + 0.0165272i
\(739\) −8.96021 5.17318i −0.329607 0.190299i 0.326060 0.945349i \(-0.394279\pi\)
−0.655666 + 0.755051i \(0.727612\pi\)
\(740\) −46.0562 + 5.98161i −1.69306 + 0.219888i
\(741\) 12.8023i 0.470304i
\(742\) −18.0043 2.28644i −0.660958 0.0839377i
\(743\) −30.8558 30.8558i −1.13199 1.13199i −0.989846 0.142142i \(-0.954601\pi\)
−0.142142 0.989846i \(-0.545399\pi\)
\(744\) −4.49590 + 3.72213i −0.164828 + 0.136460i
\(745\) 2.70873 2.80359i 0.0992403 0.102716i
\(746\) 12.8450 + 19.6240i 0.470290 + 0.718486i
\(747\) −0.0340149 + 0.126945i −0.00124454 + 0.00464468i
\(748\) 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 \(-0.558992\pi\)
0.759060 + 0.651020i \(0.225659\pi\)
\(752\) 17.2127 + 0.652772i 0.627684 + 0.0238042i
\(753\) 2.27117 + 8.47614i 0.0827662 + 0.308888i
\(754\) 17.9560 1.00611i 0.653919 0.0366404i
\(755\) 8.46393 33.9113i 0.308034 1.23416i
\(756\) −26.5355 9.15266i −0.965085 0.332879i
\(757\) 31.7850 31.7850i 1.15525 1.15525i 0.169759 0.985486i \(-0.445701\pi\)
0.985486 0.169759i \(-0.0542991\pi\)
\(758\) 9.93515 + 8.88085i 0.360861 + 0.322567i
\(759\) 12.8880 22.3227i 0.467805 0.810262i
\(760\) −4.16777 22.2553i −0.151181 0.807284i
\(761\) −5.69291 9.86041i −0.206368 0.357440i 0.744200 0.667957i \(-0.232831\pi\)
−0.950568 + 0.310517i \(0.899498\pi\)
\(762\) −19.9670 + 6.56755i −0.723329 + 0.237917i
\(763\) −1.87693 0.345989i −0.0679494 0.0125256i
\(764\) −0.0273734 0.0371093i −0.000990335 0.00134257i
\(765\) 1.45974 + 0.809619i 0.0527771 + 0.0292718i
\(766\) 1.58959 + 2.42850i 0.0574343 + 0.0877453i
\(767\) 1.58706 + 5.92297i 0.0573052 + 0.213866i
\(768\) 17.6515 + 20.5535i 0.636945 + 0.741659i
\(769\) 5.34692i 0.192815i 0.995342 + 0.0964074i \(0.0307352\pi\)
−0.995342 + 0.0964074i \(0.969265\pi\)
\(770\) −39.6989 29.1102i −1.43065 1.04906i
\(771\) 34.7485 1.25144
\(772\) 14.0753 5.52003i 0.506580 0.198670i
\(773\) 13.3424 3.57509i 0.479893 0.128587i −0.0107597 0.999942i \(-0.503425\pi\)
0.490653 + 0.871355i \(0.336758\pi\)
\(774\) 1.12014 + 1.71130i 0.0402627 + 0.0615113i
\(775\) −6.08979 + 0.209652i −0.218752 + 0.00753091i
\(776\) 1.81326 + 10.6967i 0.0650923 + 0.383988i
\(777\) 43.8416 15.5729i 1.57281 0.558675i
\(778\) 14.0124 + 42.6014i 0.502370 + 1.52733i
\(779\) 7.57593 4.37396i 0.271436 0.156714i
\(780\) 2.11511 15.8519i 0.0757333 0.567590i
\(781\) 13.6873 + 7.90237i 0.489770 + 0.282769i
\(782\) −15.3421 13.7140i −0.548633 0.490413i
\(783\) −22.5867 22.5867i −0.807182 0.807182i
\(784\) 17.2620 22.0460i 0.616498 0.787356i
\(785\) 45.9550 27.5971i 1.64020 0.984984i
\(786\) −1.33994 23.9138i −0.0477940 0.852978i
\(787\) 5.05164 1.35358i 0.180072 0.0482500i −0.167656 0.985845i \(-0.553620\pi\)
0.347728 + 0.937595i \(0.386953\pi\)
\(788\) 20.0240 + 15.9769i 0.713325 + 0.569153i
\(789\) 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
\(793\) 14.9445 + 4.00436i 0.530693 + 0.142199i
\(794\) −1.32375 + 0.866470i −0.0469781 + 0.0307499i
\(795\) −12.7611 + 13.2080i −0.452589 + 0.468438i
\(796\) 1.08872 + 0.475332i 0.0385887 + 0.0168477i
\(797\) 21.8462 21.8462i 0.773831 0.773831i −0.204943 0.978774i \(-0.565701\pi\)
0.978774 + 0.204943i \(0.0657009\pi\)
\(798\) 8.77606 + 20.9157i 0.310669 + 0.740408i
\(799\) 24.2200 0.856841
\(800\) 1.48370 + 28.2453i 0.0524568 + 0.998623i
\(801\) −0.246494 + 0.426941i −0.00870945 + 0.0150852i
\(802\) −34.8647 7.27915i −1.23112 0.257036i
\(803\) 8.80277 + 2.35870i 0.310643 + 0.0832366i
\(804\) −23.3423 + 17.2183i −0.823218 + 0.607241i
\(805\) 5.37049 + 14.3325i 0.189285 + 0.505154i
\(806\) −3.24898 1.64067i −0.114440 0.0577903i
\(807\) 5.70604 + 1.52893i 0.200862 + 0.0538209i
\(808\) −3.84999 8.40093i −0.135442 0.295544i
\(809\) 40.9620 + 23.6494i 1.44015 + 0.831468i 0.997859 0.0654051i \(-0.0208340\pi\)
0.442287 + 0.896874i \(0.354167\pi\)
\(810\) −22.4535 + 15.2553i −0.788936 + 0.536018i
\(811\) −52.5118 −1.84394 −0.921969 0.387265i \(-0.873420\pi\)
−0.921969 + 0.387265i \(0.873420\pi\)
\(812\) 28.6459 13.9527i 1.00527 0.489644i
\(813\) 23.2246 + 23.2246i 0.814522 + 0.814522i
\(814\) 4.83436 + 86.2787i 0.169444 + 3.02407i
\(815\) 0.325366 + 18.9076i 0.0113971 + 0.662303i
\(816\) 25.8970 + 27.9386i 0.906575 + 0.978047i
\(817\) 10.0964 37.6804i 0.353229 1.31827i
\(818\) 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 \(-0.776943\pi\)
0.176229 + 0.984349i \(0.443610\pi\)
\(822\) −1.37648 0.287385i −0.0480102 0.0100237i
\(823\) −40.0987 + 10.7444i −1.39775 + 0.374527i −0.877537 0.479509i \(-0.840815\pi\)
−0.520215 + 0.854035i \(0.674148\pi\)
\(824\) −36.7556 + 30.4297i −1.28044 + 1.06007i
\(825\) −47.6464 + 14.5413i −1.65884 + 0.506262i
\(826\) 6.65309 + 8.58870i 0.231491 + 0.298839i
\(827\) 15.7682 + 15.7682i 0.548315 + 0.548315i 0.925953 0.377638i \(-0.123264\pi\)
−0.377638 + 0.925953i \(0.623264\pi\)
\(828\) −0.639352 + 0.250741i −0.0222190 + 0.00871384i
\(829\) 4.45721 7.72011i 0.154805 0.268131i −0.778183 0.628038i \(-0.783858\pi\)
0.932988 + 0.359907i \(0.117192\pi\)
\(830\) −2.95718 + 1.02939i −0.102645 + 0.0357306i
\(831\) 27.6336 15.9543i 0.958599 0.553447i
\(832\) −7.34195 + 15.2162i −0.254536 + 0.527526i
\(833\) 23.0796 31.8961i 0.799661 1.10513i
\(834\) 14.0189 27.7613i 0.485436 0.961294i
\(835\) 3.79968 + 2.10742i 0.131493 + 0.0729303i
\(836\) −41.8654 + 4.70638i −1.44795 + 0.162773i
\(837\) 1.67318 + 6.24440i 0.0578336 + 0.215838i
\(838\) −42.2467 37.7635i −1.45939 1.30452i
\(839\) 13.9480 0.481540 0.240770 0.970582i \(-0.422600\pi\)
0.240770 + 0.970582i \(0.422600\pi\)
\(840\) −7.41105 27.3480i −0.255706 0.943595i
\(841\) 7.25944 0.250326
\(842\) −33.6784 30.1045i −1.16063 1.03747i
\(843\) 7.13957 + 26.6453i 0.245900 + 0.917711i
\(844\) −0.927336 8.24908i −0.0319202 0.283945i
\(845\) −18.3577 + 5.25908i −0.631524 + 0.180918i
\(846\) 0.364358 0.721528i 0.0125269 0.0248066i
\(847\) −40.5398 + 47.5592i −1.39297 + 1.63415i
\(848\) 17.1582 9.05725i 0.589214 0.311027i
\(849\) 8.50814 4.91218i 0.291999 0.168585i
\(850\) 3.58979 + 39.6078i 0.123129 + 1.35854i
\(851\) 13.4336 23.2677i 0.460498 0.797605i
\(852\) 3.32128 + 8.46879i 0.113785 + 0.290136i
\(853\) −6.45667 6.45667i −0.221072 0.221072i 0.587878 0.808950i \(-0.299964\pi\)
−0.808950 + 0.587878i \(0.799964\pi\)
\(854\) 27.1605 3.70243i 0.929413 0.126694i
\(855\) −1.03088 0.257298i −0.0352555 0.00879942i
\(856\) 26.6413 22.0561i 0.910580 0.753863i
\(857\) 3.03776 0.813965i 0.103768 0.0278045i −0.206561 0.978434i \(-0.566227\pi\)
0.310329 + 0.950629i \(0.399561\pi\)
\(858\) −29.1282 6.08146i −0.994420 0.207618i
\(859\) −30.8952 + 17.8374i −1.05413 + 0.608603i −0.923803 0.382867i \(-0.874937\pi\)
−0.130329 + 0.991471i \(0.541603\pi\)
\(860\) −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
\(863\) −6.08029 + 22.6920i −0.206976 + 0.772443i 0.781863 + 0.623451i \(0.214270\pi\)
−0.988838 + 0.148993i \(0.952397\pi\)
\(864\) 28.8401 8.28895i 0.981161 0.281996i
\(865\) 34.0186 0.585402i 1.15667 0.0199043i
\(866\) −2.42382 43.2578i −0.0823648 1.46996i
\(867\) 17.5210 + 17.5210i 0.595046 + 0.595046i
\(868\) −6.43270 0.453253i −0.218340 0.0153844i
\(869\) 12.1597 0.412490
\(870\) 6.04579 31.6718i 0.204972 1.07378i
\(871\) −15.6644 9.04385i −0.530768 0.306439i
\(872\) 1.85483 0.850033i 0.0628124 0.0287858i
\(873\) 0.491766 + 0.131768i 0.0166437 + 0.00445968i
\(874\) 11.6922 + 5.90437i 0.395496 + 0.199718i
\(875\) 11.3137 27.3313i 0.382473 0.923967i
\(876\) 3.11374 + 4.22120i 0.105204 + 0.142621i
\(877\) 37.8470 + 10.1411i 1.27800 + 0.342440i 0.833092 0.553135i \(-0.186569\pi\)
0.444911 + 0.895575i \(0.353235\pi\)
\(878\) 54.2326 + 11.3228i 1.83026 + 0.382127i
\(879\) 13.7742 23.8576i 0.464591 0.804696i
\(880\) 52.6158 + 1.08925i 1.77368 + 0.0367187i
\(881\) −27.2597 −0.918404 −0.459202 0.888332i \(-0.651865\pi\)
−0.459202 + 0.888332i \(0.651865\pi\)
\(882\) −0.603000 1.16739i −0.0203041 0.0393081i
\(883\) 10.1753 10.1753i 0.342426 0.342426i −0.514853 0.857279i \(-0.672153\pi\)
0.857279 + 0.514853i \(0.172153\pi\)
\(884\) −9.50519 + 21.7711i −0.319694 + 0.732242i
\(885\) 10.9922 0.189157i 0.369500 0.00635846i
\(886\) 18.5206 12.1228i 0.622212 0.407273i
\(887\) 10.7483 + 2.88000i 0.360893 + 0.0967009i 0.434709 0.900571i \(-0.356851\pi\)
−0.0738164 + 0.997272i \(0.523518\pi\)
\(888\) −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
\(892\) −31.5455 + 39.5363i −1.05622 + 1.32377i
\(893\) −14.8913 + 3.99012i −0.498320 + 0.133524i
\(894\) −0.233563 4.16838i −0.00781151 0.139412i
\(895\) 5.87551 23.5407i 0.196397 0.786877i
\(896\) −1.56410 + 29.8924i −0.0522529 + 0.998634i
\(897\) 6.54186 + 6.54186i 0.218426 + 0.218426i
\(898\) 3.35736 + 3.00108i 0.112036 + 0.100147i
\(899\) −6.35523 3.66919i −0.211959 0.122374i
\(900\) 1.23394 + 0.488906i 0.0411314 + 0.0162969i
\(901\) 23.6259 13.6404i 0.787093 0.454428i
\(902\) 6.35300 + 19.3148i 0.211532 + 0.643111i
\(903\) 8.84962 48.0077i 0.294497 1.59759i
\(904\) −11.7696 + 1.99514i −0.391450 + 0.0663572i
\(905\) 5.63850 1.61531i 0.187430 0.0536947i
\(906\) −20.4997 31.3184i −0.681057 1.04049i
\(907\) 10.2823 2.75514i 0.341419 0.0914830i −0.0840353 0.996463i \(-0.526781\pi\)
0.425455 + 0.904980i \(0.360114\pi\)
\(908\) −1.88046 4.79489i −0.0624052 0.159124i
\(909\) −0.433649 −0.0143832
\(910\) 13.7801 11.0591i 0.456807 0.366606i
\(911\) 11.1349i 0.368915i −0.982840 0.184457i \(-0.940947\pi\)
0.982840 0.184457i \(-0.0590528\pi\)
\(912\) −20.5252 12.9113i −0.679656 0.427536i
\(913\) 1.50790 + 5.62757i 0.0499043 + 0.186246i
\(914\) −4.36027 6.66140i −0.144225 0.220339i
\(915\) 13.4541 24.2578i 0.444780 0.801938i
\(916\) 22.7220 16.7607i 0.750754 0.553789i
\(917\) 17.1665 20.1388i 0.566887 0.665042i
\(918\) 40.0809 13.1834i 1.32287 0.435116i
\(919\) −22.7273 39.3649i −0.749705 1.29853i −0.947964 0.318378i \(-0.896862\pi\)
0.198259 0.980150i \(-0.436471\pi\)
\(920\) −13.5020 9.24257i −0.445147 0.304719i
\(921\) 14.7678 25.5786i 0.486616 0.842843i
\(922\) 41.3654 + 36.9758i 1.36230 + 1.21773i
\(923\) −4.01119 + 4.01119i −0.132030 + 0.132030i
\(924\) −51.7570 + 10.0320i −1.70268 + 0.330029i
\(925\) −49.6634 + 15.1568i −1.63292 + 0.498354i
\(926\) −10.9229 + 0.612030i −0.358948 + 0.0201125i
\(927\) 0.579544 + 2.16289i 0.0190347 + 0.0710386i
\(928\) −16.4959 + 29.8025i −0.541503 + 0.978315i
\(929\) −9.74036 + 5.62360i −0.319571 + 0.184504i −0.651201 0.758905i \(-0.725735\pi\)
0.331631 + 0.943409i \(0.392401\pi\)
\(930\) −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
\(933\) −8.55673 + 31.9342i −0.280135 + 1.04548i
\(934\) 13.7097 + 20.9449i 0.448594 + 0.685339i
\(935\) 73.9872 1.27319i 2.41964 0.0416378i
\(936\) 0.505581 + 0.610684i 0.0165254 + 0.0199608i
\(937\) 10.7077 + 10.7077i 0.349806 + 0.349806i 0.860037 0.510231i \(-0.170440\pi\)
−0.510231 + 0.860037i \(0.670440\pi\)
\(938\) −31.7913 4.03731i −1.03802 0.131823i
\(939\) 53.4514i 1.74432i
\(940\) 19.0979 2.48036i 0.622903 0.0809004i
\(941\) −49.4039 28.5233i −1.61052 0.929834i −0.989249 0.146239i \(-0.953283\pi\)
−0.621271 0.783596i \(-0.713383\pi\)
\(942\) 11.7327 56.1956i 0.382271 1.83095i
\(943\) 1.63618 6.10630i 0.0532813 0.198848i
\(944\) −11.0965 3.42897i −0.361161 0.111604i
\(945\) −30.9561 5.15731i −1.00700 0.167767i
\(946\) 80.9355 + 40.8710i 2.63144 + 1.32883i
\(947\) −8.94718 + 33.3913i −0.290744 + 1.08507i 0.653794 + 0.756672i \(0.273176\pi\)
−0.944539 + 0.328400i \(0.893491\pi\)
\(948\) 5.47078 + 4.36507i 0.177683 + 0.141771i
\(949\) −1.63548 + 2.83274i −0.0530901 + 0.0919547i
\(950\) −8.73232 23.7609i −0.283314 0.770906i
\(951\) 18.9280i 0.613783i
\(952\) −0.604837 + 42.0844i −0.0196029 + 1.36396i
\(953\) 16.8673 16.8673i 0.546387 0.546387i −0.379007 0.925394i \(-0.623734\pi\)
0.925394 + 0.379007i \(0.123734\pi\)
\(954\) −0.0509349 0.909032i −0.00164908 0.0294310i
\(955\) −0.0370773 0.0358228i −0.00119979 0.00115920i
\(956\) 1.95166 + 17.3610i 0.0631213 + 0.561493i
\(957\) −57.9499 15.5276i −1.87326 0.501937i
\(958\) 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
\(962\) −30.3613 6.33890i −0.978886 0.204374i
\(963\) −0.420066 1.56771i −0.0135365 0.0505187i
\(964\) 10.1022 + 4.41059i 0.325370 + 0.142055i
\(965\) 14.4913 8.70239i 0.466492 0.280140i
\(966\) 15.1722 + 6.20326i 0.488159 + 0.199587i
\(967\) 18.2418 18.2418i 0.586615 0.586615i −0.350098 0.936713i \(-0.613852\pi\)
0.936713 + 0.350098i \(0.113852\pi\)
\(968\) 6.26264 66.5135i 0.201289 2.13783i
\(969\) −29.5274 17.0477i −0.948557 0.547649i
\(970\) 3.98768 + 11.4556i 0.128037 + 0.367818i
\(971\) 0.716859 + 1.24164i 0.0230051 + 0.0398460i 0.877299 0.479945i \(-0.159343\pi\)
−0.854294 + 0.519791i \(0.826010\pi\)
\(972\) 0.411543 2.72573i 0.0132002 0.0874278i
\(973\) 32.3787 11.5012i 1.03801 0.368711i
\(974\) −30.9050 15.6065i −0.990261 0.500064i
\(975\) −0.615188 17.8695i −0.0197018 0.572282i
\(976\) −21.4917 + 19.9211i −0.687932 + 0.637660i
\(977\) 24.0996 6.45746i 0.771014 0.206592i 0.148194 0.988958i \(-0.452654\pi\)
0.622819 + 0.782366i \(0.285987\pi\)
\(978\) 15.0989 + 13.4967i 0.482810 + 0.431575i
\(979\) 21.8545i 0.698474i
\(980\) 14.9322 27.5142i 0.476992 0.878908i
\(981\) 0.0957446i 0.00305689i
\(982\) 25.1553 28.1417i 0.802739 0.898037i
\(983\) −5.13258 + 1.37527i −0.163704 + 0.0438643i −0.339740 0.940519i \(-0.610339\pi\)
0.176036 + 0.984384i \(0.443672\pi\)
\(984\) −4.07529 + 10.9705i −0.129915 + 0.349727i
\(985\) 25.0461 + 13.8914i 0.798035 + 0.442615i
\(986\) −21.5899 + 42.7538i −0.687562 + 1.36156i
\(987\) −18.1795 + 6.45753i −0.578661 + 0.205545i
\(988\) 2.25746 14.9516i 0.0718194 0.475674i
\(989\) −14.0952 24.4135i −0.448200 0.776306i
\(990\) 1.07511 2.22328i 0.0341694 0.0706604i
\(991\) −39.2568 22.6649i −1.24703 0.719975i −0.276517 0.961009i \(-0.589180\pi\)
−0.970517 + 0.241034i \(0.922514\pi\)
\(992\) 5.90704 3.55425i 0.187549 0.112848i
\(993\) −1.77536 + 1.77536i −0.0563393 + 0.0563393i
\(994\) −3.80357 + 9.30296i −0.120642 + 0.295072i
\(995\) 1.28865 + 0.321635i 0.0408530 + 0.0101965i
\(996\) −1.34175 + 3.07321i −0.0425150 + 0.0973783i
\(997\) −14.4528 53.9385i −0.457724 1.70825i −0.679955 0.733254i \(-0.738001\pi\)
0.222231 0.974994i \(-0.428666\pi\)
\(998\) −4.87250 + 23.3377i −0.154236 + 0.738741i
\(999\) 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.67.13 176
5.3 odd 4 inner 280.2.br.a.123.35 yes 176
7.2 even 3 inner 280.2.br.a.107.43 yes 176
8.3 odd 2 inner 280.2.br.a.67.25 yes 176
35.23 odd 12 inner 280.2.br.a.163.25 yes 176
40.3 even 4 inner 280.2.br.a.123.43 yes 176
56.51 odd 6 inner 280.2.br.a.107.35 yes 176
280.163 even 12 inner 280.2.br.a.163.13 yes 176
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
280.2.br.a.67.13 176 1.1 even 1 trivial
280.2.br.a.67.25 yes 176 8.3 odd 2 inner
280.2.br.a.107.35 yes 176 56.51 odd 6 inner
280.2.br.a.107.43 yes 176 7.2 even 3 inner
280.2.br.a.123.35 yes 176 5.3 odd 4 inner
280.2.br.a.123.43 yes 176 40.3 even 4 inner
280.2.br.a.163.13 yes 176 280.163 even 12 inner
280.2.br.a.163.25 yes 176 35.23 odd 12 inner