Properties

Label 280.2.ba.b.59.14
Level $280$
Weight $2$
Character 280.59
Analytic conductor $2.236$
Analytic rank $0$
Dimension $80$
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(19,280)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(280, base_ring=CyclotomicField(6))
 
chi = DirichletCharacter(H, H._module([3, 3, 3, 5]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("280.19");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 280 = 2^{3} \cdot 5 \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 280.ba (of order \(6\), degree \(2\), 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: \(80\)
Relative dimension: \(40\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 59.14
Character \(\chi\) \(=\) 280.59
Dual form 280.2.ba.b.19.14

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.634137 + 1.26407i) q^{2} +(0.653375 - 1.13168i) q^{3} +(-1.19574 - 1.60319i) q^{4} +(-1.67181 + 1.48495i) q^{5} +(1.01619 + 1.54355i) q^{6} +(-1.03631 + 2.43435i) q^{7} +(2.78480 - 0.494858i) q^{8} +(0.646203 + 1.11926i) q^{9} +O(q^{10})\) \(q+(-0.634137 + 1.26407i) q^{2} +(0.653375 - 1.13168i) q^{3} +(-1.19574 - 1.60319i) q^{4} +(-1.67181 + 1.48495i) q^{5} +(1.01619 + 1.54355i) q^{6} +(-1.03631 + 2.43435i) q^{7} +(2.78480 - 0.494858i) q^{8} +(0.646203 + 1.11926i) q^{9} +(-0.816920 - 3.05494i) q^{10} +(0.168671 - 0.292146i) q^{11} +(-2.59556 + 0.305712i) q^{12} +1.29865i q^{13} +(-2.42003 - 2.85368i) q^{14} +(0.588166 + 2.86217i) q^{15} +(-1.14041 + 3.83399i) q^{16} +(-3.41832 + 5.92071i) q^{17} +(-1.82460 + 0.107083i) q^{18} +(-0.551990 + 0.318691i) q^{19} +(4.37969 + 0.904605i) q^{20} +(2.07781 + 2.76331i) q^{21} +(0.262332 + 0.398472i) q^{22} +(1.51602 + 2.62582i) q^{23} +(1.25950 - 3.47483i) q^{24} +(0.589869 - 4.96508i) q^{25} +(-1.64159 - 0.823524i) q^{26} +5.60910 q^{27} +(5.14187 - 1.24946i) q^{28} +5.90687i q^{29} +(-3.99096 - 1.07153i) q^{30} +(-1.08115 + 1.87261i) q^{31} +(-4.12325 - 3.87283i) q^{32} +(-0.220410 - 0.381762i) q^{33} +(-5.31650 - 8.07554i) q^{34} +(-1.88238 - 5.60862i) q^{35} +(1.02169 - 2.37432i) q^{36} +(-4.30421 - 7.45510i) q^{37} +(-0.0528107 - 0.899847i) q^{38} +(1.46966 + 0.848507i) q^{39} +(-3.92081 + 4.96259i) q^{40} +5.28231i q^{41} +(-4.81063 + 0.874175i) q^{42} -10.6010i q^{43} +(-0.670050 + 0.0789204i) q^{44} +(-2.74236 - 0.911602i) q^{45} +(-4.28057 + 0.251221i) q^{46} +(7.78384 - 4.49400i) q^{47} +(3.59373 + 3.79561i) q^{48} +(-4.85214 - 5.04547i) q^{49} +(5.90215 + 3.89418i) q^{50} +(4.46689 + 7.73688i) q^{51} +(2.08198 - 1.55285i) q^{52} +(3.63168 - 6.29026i) q^{53} +(-3.55694 + 7.09029i) q^{54} +(0.151837 + 0.738878i) q^{55} +(-1.68125 + 7.29201i) q^{56} +0.832900i q^{57} +(-7.46668 - 3.74576i) q^{58} +(7.50354 + 4.33217i) q^{59} +(3.88530 - 4.36535i) q^{60} +(-3.97207 - 6.87982i) q^{61} +(-1.68151 - 2.55414i) q^{62} +(-3.39433 + 0.413194i) q^{63} +(7.51023 - 2.75616i) q^{64} +(-1.92843 - 2.17110i) q^{65} +(0.622343 - 0.0365244i) q^{66} +(10.9447 + 6.31895i) q^{67} +(13.5794 - 1.59942i) q^{68} +3.96211 q^{69} +(8.28337 + 1.17718i) q^{70} +3.53507i q^{71} +(2.35342 + 2.79713i) q^{72} +(-5.93618 + 10.2818i) q^{73} +(12.1532 - 0.713255i) q^{74} +(-5.23347 - 3.91160i) q^{75} +(1.17096 + 0.503870i) q^{76} +(0.536392 + 0.713356i) q^{77} +(-2.00454 + 1.31968i) q^{78} +(8.96466 - 5.17575i) q^{79} +(-3.78672 - 8.10313i) q^{80} +(1.72624 - 2.98993i) q^{81} +(-6.67721 - 3.34971i) q^{82} -3.76821 q^{83} +(1.94558 - 6.63531i) q^{84} +(-3.07716 - 14.9743i) q^{85} +(13.4004 + 6.72250i) q^{86} +(6.68467 + 3.85940i) q^{87} +(0.325143 - 0.897036i) q^{88} +(-6.43915 + 3.71765i) q^{89} +(2.89136 - 2.88845i) q^{90} +(-3.16138 - 1.34580i) q^{91} +(2.39691 - 5.57025i) q^{92} +(1.41279 + 2.44703i) q^{93} +(0.744706 + 12.6891i) q^{94} +(0.449580 - 1.35247i) q^{95} +(-7.07683 + 2.13578i) q^{96} +6.03558 q^{97} +(9.45474 - 2.93392i) q^{98} +0.435982 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 80 q + 6 q^{4} - 52 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 80 q + 6 q^{4} - 52 q^{9} - 12 q^{10} - 6 q^{14} + 10 q^{16} - 48 q^{19} + 12 q^{24} - 22 q^{25} + 54 q^{26} - 20 q^{30} - 22 q^{35} + 28 q^{36} + 12 q^{40} + 38 q^{44} + 14 q^{46} + 16 q^{49} - 40 q^{50} + 20 q^{51} + 60 q^{54} - 104 q^{56} - 60 q^{59} - 42 q^{60} - 60 q^{64} - 12 q^{65} + 84 q^{66} - 22 q^{70} + 34 q^{74} - 6 q^{75} - 96 q^{80} - 100 q^{84} - 8 q^{86} - 36 q^{89} + 72 q^{91} - 66 q^{94} + 96 q^{96} + 104 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

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

\(n\) \(57\) \(71\) \(141\) \(241\)
\(\chi(n)\) \(-1\) \(-1\) \(-1\) \(e\left(\frac{1}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.634137 + 1.26407i −0.448403 + 0.893832i
\(3\) 0.653375 1.13168i 0.377226 0.653375i −0.613431 0.789748i \(-0.710211\pi\)
0.990658 + 0.136373i \(0.0435446\pi\)
\(4\) −1.19574 1.60319i −0.597870 0.801593i
\(5\) −1.67181 + 1.48495i −0.747654 + 0.664088i
\(6\) 1.01619 + 1.54355i 0.414858 + 0.630152i
\(7\) −1.03631 + 2.43435i −0.391687 + 0.920099i
\(8\) 2.78480 0.494858i 0.984576 0.174959i
\(9\) 0.646203 + 1.11926i 0.215401 + 0.373085i
\(10\) −0.816920 3.05494i −0.258333 0.966056i
\(11\) 0.168671 0.292146i 0.0508561 0.0880853i −0.839477 0.543396i \(-0.817138\pi\)
0.890333 + 0.455310i \(0.150472\pi\)
\(12\) −2.59556 + 0.305712i −0.749273 + 0.0882514i
\(13\) 1.29865i 0.360182i 0.983650 + 0.180091i \(0.0576391\pi\)
−0.983650 + 0.180091i \(0.942361\pi\)
\(14\) −2.42003 2.85368i −0.646780 0.762677i
\(15\) 0.588166 + 2.86217i 0.151864 + 0.739010i
\(16\) −1.14041 + 3.83399i −0.285103 + 0.958497i
\(17\) −3.41832 + 5.92071i −0.829065 + 1.43598i 0.0697076 + 0.997567i \(0.477793\pi\)
−0.898773 + 0.438415i \(0.855540\pi\)
\(18\) −1.82460 + 0.107083i −0.430062 + 0.0252397i
\(19\) −0.551990 + 0.318691i −0.126635 + 0.0731128i −0.561979 0.827151i \(-0.689960\pi\)
0.435344 + 0.900264i \(0.356627\pi\)
\(20\) 4.37969 + 0.904605i 0.979329 + 0.202276i
\(21\) 2.07781 + 2.76331i 0.453415 + 0.603003i
\(22\) 0.262332 + 0.398472i 0.0559294 + 0.0849545i
\(23\) 1.51602 + 2.62582i 0.316111 + 0.547521i 0.979673 0.200601i \(-0.0642894\pi\)
−0.663562 + 0.748121i \(0.730956\pi\)
\(24\) 1.25950 3.47483i 0.257094 0.709296i
\(25\) 0.589869 4.96508i 0.117974 0.993017i
\(26\) −1.64159 0.823524i −0.321942 0.161506i
\(27\) 5.60910 1.07947
\(28\) 5.14187 1.24946i 0.971722 0.236126i
\(29\) 5.90687i 1.09688i 0.836191 + 0.548439i \(0.184778\pi\)
−0.836191 + 0.548439i \(0.815222\pi\)
\(30\) −3.99096 1.07153i −0.728646 0.195633i
\(31\) −1.08115 + 1.87261i −0.194181 + 0.336331i −0.946632 0.322318i \(-0.895538\pi\)
0.752451 + 0.658648i \(0.228871\pi\)
\(32\) −4.12325 3.87283i −0.728894 0.684626i
\(33\) −0.220410 0.381762i −0.0383685 0.0664562i
\(34\) −5.31650 8.07554i −0.911772 1.38494i
\(35\) −1.88238 5.60862i −0.318180 0.948030i
\(36\) 1.02169 2.37432i 0.170281 0.395720i
\(37\) −4.30421 7.45510i −0.707607 1.22561i −0.965742 0.259503i \(-0.916441\pi\)
0.258135 0.966109i \(-0.416892\pi\)
\(38\) −0.0528107 0.899847i −0.00856703 0.145974i
\(39\) 1.46966 + 0.848507i 0.235334 + 0.135870i
\(40\) −3.92081 + 4.96259i −0.619934 + 0.784654i
\(41\) 5.28231i 0.824959i 0.910967 + 0.412479i \(0.135337\pi\)
−0.910967 + 0.412479i \(0.864663\pi\)
\(42\) −4.81063 + 0.874175i −0.742296 + 0.134888i
\(43\) 10.6010i 1.61664i −0.588744 0.808320i \(-0.700377\pi\)
0.588744 0.808320i \(-0.299623\pi\)
\(44\) −0.670050 + 0.0789204i −0.101014 + 0.0118977i
\(45\) −2.74236 0.911602i −0.408807 0.135894i
\(46\) −4.28057 + 0.251221i −0.631136 + 0.0370405i
\(47\) 7.78384 4.49400i 1.13539 0.655517i 0.190105 0.981764i \(-0.439117\pi\)
0.945285 + 0.326247i \(0.105784\pi\)
\(48\) 3.59373 + 3.79561i 0.518710 + 0.547849i
\(49\) −4.85214 5.04547i −0.693163 0.720781i
\(50\) 5.90215 + 3.89418i 0.834690 + 0.550720i
\(51\) 4.46689 + 7.73688i 0.625490 + 1.08338i
\(52\) 2.08198 1.55285i 0.288719 0.215342i
\(53\) 3.63168 6.29026i 0.498850 0.864034i −0.501149 0.865361i \(-0.667089\pi\)
0.999999 + 0.00132737i \(0.000422515\pi\)
\(54\) −3.55694 + 7.09029i −0.484038 + 0.964866i
\(55\) 0.151837 + 0.738878i 0.0204737 + 0.0996303i
\(56\) −1.68125 + 7.29201i −0.224666 + 0.974436i
\(57\) 0.832900i 0.110320i
\(58\) −7.46668 3.74576i −0.980424 0.491843i
\(59\) 7.50354 + 4.33217i 0.976877 + 0.564000i 0.901326 0.433142i \(-0.142595\pi\)
0.0755513 + 0.997142i \(0.475928\pi\)
\(60\) 3.88530 4.36535i 0.501590 0.563565i
\(61\) −3.97207 6.87982i −0.508571 0.880871i −0.999951 0.00992531i \(-0.996841\pi\)
0.491380 0.870945i \(-0.336493\pi\)
\(62\) −1.68151 2.55414i −0.213552 0.324376i
\(63\) −3.39433 + 0.413194i −0.427645 + 0.0520575i
\(64\) 7.51023 2.75616i 0.938779 0.344520i
\(65\) −1.92843 2.17110i −0.239192 0.269291i
\(66\) 0.622343 0.0365244i 0.0766052 0.00449585i
\(67\) 10.9447 + 6.31895i 1.33711 + 0.771983i 0.986378 0.164492i \(-0.0525985\pi\)
0.350735 + 0.936475i \(0.385932\pi\)
\(68\) 13.5794 1.59942i 1.64675 0.193958i
\(69\) 3.96211 0.476981
\(70\) 8.28337 + 1.17718i 0.990052 + 0.140700i
\(71\) 3.53507i 0.419536i 0.977751 + 0.209768i \(0.0672708\pi\)
−0.977751 + 0.209768i \(0.932729\pi\)
\(72\) 2.35342 + 2.79713i 0.277353 + 0.329645i
\(73\) −5.93618 + 10.2818i −0.694777 + 1.20339i 0.275479 + 0.961307i \(0.411164\pi\)
−0.970256 + 0.242082i \(0.922170\pi\)
\(74\) 12.1532 0.713255i 1.41278 0.0829142i
\(75\) −5.23347 3.91160i −0.604309 0.451673i
\(76\) 1.17096 + 0.503870i 0.134318 + 0.0577979i
\(77\) 0.536392 + 0.713356i 0.0611275 + 0.0812945i
\(78\) −2.00454 + 1.31968i −0.226969 + 0.149424i
\(79\) 8.96466 5.17575i 1.00860 0.582317i 0.0978208 0.995204i \(-0.468813\pi\)
0.910782 + 0.412887i \(0.135479\pi\)
\(80\) −3.78672 8.10313i −0.423368 0.905958i
\(81\) 1.72624 2.98993i 0.191804 0.332214i
\(82\) −6.67721 3.34971i −0.737374 0.369914i
\(83\) −3.76821 −0.413615 −0.206807 0.978382i \(-0.566307\pi\)
−0.206807 + 0.978382i \(0.566307\pi\)
\(84\) 1.94558 6.63531i 0.212280 0.723972i
\(85\) −3.07716 14.9743i −0.333765 1.62419i
\(86\) 13.4004 + 6.72250i 1.44500 + 0.724906i
\(87\) 6.68467 + 3.85940i 0.716672 + 0.413771i
\(88\) 0.325143 0.897036i 0.0346604 0.0956244i
\(89\) −6.43915 + 3.71765i −0.682549 + 0.394070i −0.800815 0.598912i \(-0.795600\pi\)
0.118266 + 0.992982i \(0.462266\pi\)
\(90\) 2.89136 2.88845i 0.304776 0.304470i
\(91\) −3.16138 1.34580i −0.331403 0.141078i
\(92\) 2.39691 5.57025i 0.249895 0.580739i
\(93\) 1.41279 + 2.44703i 0.146500 + 0.253745i
\(94\) 0.744706 + 12.6891i 0.0768106 + 1.30878i
\(95\) 0.449580 1.35247i 0.0461259 0.138760i
\(96\) −7.07683 + 2.13578i −0.722276 + 0.217982i
\(97\) 6.03558 0.612820 0.306410 0.951900i \(-0.400872\pi\)
0.306410 + 0.951900i \(0.400872\pi\)
\(98\) 9.45474 2.93392i 0.955073 0.296371i
\(99\) 0.435982 0.0438178
\(100\) −8.66528 + 4.99128i −0.866528 + 0.499128i
\(101\) −0.757059 + 1.31127i −0.0753302 + 0.130476i −0.901230 0.433341i \(-0.857334\pi\)
0.825900 + 0.563817i \(0.190668\pi\)
\(102\) −12.6126 + 0.740214i −1.24883 + 0.0732921i
\(103\) −6.60049 + 3.81079i −0.650366 + 0.375489i −0.788596 0.614911i \(-0.789192\pi\)
0.138231 + 0.990400i \(0.455858\pi\)
\(104\) 0.642649 + 3.61649i 0.0630169 + 0.354626i
\(105\) −7.57706 1.53428i −0.739445 0.149731i
\(106\) 5.64834 + 8.57958i 0.548615 + 0.833323i
\(107\) 1.68270 0.971509i 0.162673 0.0939193i −0.416453 0.909157i \(-0.636727\pi\)
0.579126 + 0.815238i \(0.303394\pi\)
\(108\) −6.70703 8.99243i −0.645384 0.865297i
\(109\) −1.32933 0.767488i −0.127326 0.0735120i 0.434984 0.900438i \(-0.356754\pi\)
−0.562310 + 0.826926i \(0.690087\pi\)
\(110\) −1.03028 0.276618i −0.0982331 0.0263745i
\(111\) −11.2490 −1.06771
\(112\) −8.15146 6.74935i −0.770241 0.637753i
\(113\) 6.74556i 0.634569i −0.948330 0.317285i \(-0.897229\pi\)
0.948330 0.317285i \(-0.102771\pi\)
\(114\) −1.05284 0.528173i −0.0986078 0.0494679i
\(115\) −6.43368 2.13865i −0.599944 0.199430i
\(116\) 9.46980 7.06308i 0.879249 0.655790i
\(117\) −1.45353 + 0.839193i −0.134378 + 0.0775834i
\(118\) −10.2344 + 6.73780i −0.942156 + 0.620265i
\(119\) −10.8707 14.4571i −0.996512 1.32528i
\(120\) 3.05429 + 7.67952i 0.278818 + 0.701041i
\(121\) 5.44310 + 9.42773i 0.494827 + 0.857066i
\(122\) 11.2154 0.658216i 1.01539 0.0595920i
\(123\) 5.97788 + 3.45133i 0.539007 + 0.311196i
\(124\) 4.29492 0.505867i 0.385695 0.0454282i
\(125\) 6.38674 + 9.17658i 0.571247 + 0.820778i
\(126\) 1.63016 4.55268i 0.145227 0.405585i
\(127\) −4.49296 −0.398686 −0.199343 0.979930i \(-0.563881\pi\)
−0.199343 + 0.979930i \(0.563881\pi\)
\(128\) −1.27854 + 11.2412i −0.113008 + 0.993594i
\(129\) −11.9969 6.92644i −1.05627 0.609839i
\(130\) 3.96730 1.06090i 0.347956 0.0930467i
\(131\) −4.26159 + 2.46043i −0.372336 + 0.214969i −0.674479 0.738294i \(-0.735632\pi\)
0.302142 + 0.953263i \(0.402298\pi\)
\(132\) −0.348482 + 0.809846i −0.0303314 + 0.0704881i
\(133\) −0.203777 1.67400i −0.0176697 0.145154i
\(134\) −14.9281 + 9.82783i −1.28959 + 0.848995i
\(135\) −9.37732 + 8.32921i −0.807072 + 0.716864i
\(136\) −6.58944 + 18.1796i −0.565039 + 1.55889i
\(137\) 14.2291 + 8.21516i 1.21567 + 0.701868i 0.963989 0.265942i \(-0.0856829\pi\)
0.251682 + 0.967810i \(0.419016\pi\)
\(138\) −2.51252 + 5.00837i −0.213880 + 0.426341i
\(139\) 9.85042i 0.835502i −0.908562 0.417751i \(-0.862818\pi\)
0.908562 0.417751i \(-0.137182\pi\)
\(140\) −6.74083 + 9.72426i −0.569704 + 0.821850i
\(141\) 11.7451i 0.989113i
\(142\) −4.46857 2.24172i −0.374994 0.188121i
\(143\) 0.379396 + 0.219044i 0.0317267 + 0.0183174i
\(144\) −5.02815 + 1.20112i −0.419013 + 0.100094i
\(145\) −8.77138 9.87513i −0.728423 0.820085i
\(146\) −9.23250 14.0238i −0.764087 1.16062i
\(147\) −8.88011 + 2.19448i −0.732419 + 0.180998i
\(148\) −6.80521 + 15.8148i −0.559385 + 1.29997i
\(149\) −12.5917 + 7.26981i −1.03155 + 0.595566i −0.917428 0.397901i \(-0.869739\pi\)
−0.114122 + 0.993467i \(0.536405\pi\)
\(150\) 8.26327 4.13498i 0.674693 0.337619i
\(151\) 6.58039 + 3.79919i 0.535504 + 0.309174i 0.743255 0.669008i \(-0.233281\pi\)
−0.207751 + 0.978182i \(0.566614\pi\)
\(152\) −1.37947 + 1.16065i −0.111890 + 0.0941411i
\(153\) −8.83572 −0.714326
\(154\) −1.24188 + 0.225671i −0.100073 + 0.0181851i
\(155\) −0.973249 4.73609i −0.0781732 0.380412i
\(156\) −0.397014 3.37073i −0.0317865 0.269874i
\(157\) 15.6636 + 9.04339i 1.25009 + 0.721741i 0.971128 0.238561i \(-0.0766756\pi\)
0.278964 + 0.960302i \(0.410009\pi\)
\(158\) 0.857680 + 14.6141i 0.0682333 + 1.16263i
\(159\) −4.74570 8.21979i −0.376358 0.651872i
\(160\) 12.6442 + 0.351820i 0.999613 + 0.0278138i
\(161\) −7.96322 + 0.969367i −0.627589 + 0.0763968i
\(162\) 2.68480 + 4.07810i 0.210938 + 0.320406i
\(163\) −6.40416 + 3.69745i −0.501613 + 0.289606i −0.729379 0.684109i \(-0.760191\pi\)
0.227766 + 0.973716i \(0.426858\pi\)
\(164\) 8.46853 6.31627i 0.661281 0.493218i
\(165\) 0.935378 + 0.310934i 0.0728191 + 0.0242062i
\(166\) 2.38956 4.76327i 0.185466 0.369702i
\(167\) 18.7215i 1.44872i −0.689424 0.724358i \(-0.742136\pi\)
0.689424 0.724358i \(-0.257864\pi\)
\(168\) 7.15373 + 6.66705i 0.551922 + 0.514374i
\(169\) 11.3135 0.870269
\(170\) 20.8799 + 5.60601i 1.60141 + 0.429962i
\(171\) −0.713395 0.411879i −0.0545547 0.0314971i
\(172\) −16.9954 + 12.6761i −1.29589 + 0.966541i
\(173\) −8.41281 + 4.85714i −0.639614 + 0.369281i −0.784466 0.620172i \(-0.787063\pi\)
0.144852 + 0.989453i \(0.453729\pi\)
\(174\) −9.11754 + 6.00250i −0.691199 + 0.455048i
\(175\) 11.4755 + 6.58129i 0.867465 + 0.497499i
\(176\) 0.927730 + 0.979847i 0.0699303 + 0.0738588i
\(177\) 9.80524 5.66106i 0.737007 0.425511i
\(178\) −0.616055 10.4970i −0.0461753 0.786785i
\(179\) 1.19445 2.06885i 0.0892775 0.154633i −0.817928 0.575320i \(-0.804878\pi\)
0.907206 + 0.420687i \(0.138211\pi\)
\(180\) 1.81768 + 5.48655i 0.135482 + 0.408944i
\(181\) 9.87158 0.733749 0.366874 0.930270i \(-0.380428\pi\)
0.366874 + 0.930270i \(0.380428\pi\)
\(182\) 3.70593 3.14278i 0.274702 0.232958i
\(183\) −10.3810 −0.767385
\(184\) 5.52121 + 6.56216i 0.407029 + 0.483769i
\(185\) 18.2662 + 6.07197i 1.34296 + 0.446420i
\(186\) −3.98912 + 0.234116i −0.292497 + 0.0171662i
\(187\) 1.15314 + 1.99730i 0.0843260 + 0.146057i
\(188\) −16.5122 7.10528i −1.20427 0.518206i
\(189\) −5.81274 + 13.6545i −0.422815 + 0.993220i
\(190\) 1.42451 + 1.42595i 0.103345 + 0.103449i
\(191\) 11.1524 6.43881i 0.806956 0.465896i −0.0389418 0.999241i \(-0.512399\pi\)
0.845898 + 0.533345i \(0.179065\pi\)
\(192\) 1.78791 10.3000i 0.129031 0.743336i
\(193\) 4.28850 + 2.47597i 0.308693 + 0.178224i 0.646341 0.763048i \(-0.276298\pi\)
−0.337649 + 0.941272i \(0.609632\pi\)
\(194\) −3.82738 + 7.62938i −0.274790 + 0.547758i
\(195\) −3.71697 + 0.763823i −0.266178 + 0.0546985i
\(196\) −2.28692 + 13.8120i −0.163352 + 0.986568i
\(197\) 6.56633 0.467831 0.233916 0.972257i \(-0.424846\pi\)
0.233916 + 0.972257i \(0.424846\pi\)
\(198\) −0.276472 + 0.551111i −0.0196480 + 0.0391657i
\(199\) 13.8184 23.9342i 0.979560 1.69665i 0.315577 0.948900i \(-0.397802\pi\)
0.663983 0.747748i \(-0.268865\pi\)
\(200\) −0.814346 14.1187i −0.0575830 0.998341i
\(201\) 14.3020 8.25729i 1.00879 0.582424i
\(202\) −1.17745 1.78850i −0.0828451 0.125838i
\(203\) −14.3794 6.12132i −1.00924 0.429632i
\(204\) 7.06242 16.4126i 0.494468 1.14911i
\(205\) −7.84395 8.83100i −0.547845 0.616784i
\(206\) −0.631491 10.7600i −0.0439981 0.749688i
\(207\) −1.95931 + 3.39362i −0.136181 + 0.235873i
\(208\) −4.97902 1.48100i −0.345233 0.102689i
\(209\) 0.215015i 0.0148729i
\(210\) 6.74433 8.60497i 0.465403 0.593800i
\(211\) −16.2713 −1.12016 −0.560080 0.828439i \(-0.689230\pi\)
−0.560080 + 0.828439i \(0.689230\pi\)
\(212\) −14.4270 + 1.69925i −0.990851 + 0.116705i
\(213\) 4.00056 + 2.30973i 0.274114 + 0.158260i
\(214\) 0.160990 + 2.74312i 0.0110050 + 0.187516i
\(215\) 15.7419 + 17.7228i 1.07359 + 1.20869i
\(216\) 15.6202 2.77571i 1.06282 0.188863i
\(217\) −3.43819 4.57250i −0.233399 0.310401i
\(218\) 1.81313 1.19367i 0.122801 0.0808455i
\(219\) 7.75709 + 13.4357i 0.524176 + 0.907899i
\(220\) 1.00300 1.12693i 0.0676224 0.0759775i
\(221\) −7.68895 4.43921i −0.517214 0.298614i
\(222\) 7.13343 14.2196i 0.478765 0.954354i
\(223\) 1.78444i 0.119495i −0.998214 0.0597475i \(-0.980970\pi\)
0.998214 0.0597475i \(-0.0190296\pi\)
\(224\) 13.7008 6.02400i 0.915422 0.402495i
\(225\) 5.93838 2.54824i 0.395892 0.169882i
\(226\) 8.52686 + 4.27761i 0.567198 + 0.284543i
\(227\) −10.5973 + 18.3551i −0.703368 + 1.21827i 0.263909 + 0.964548i \(0.414988\pi\)
−0.967277 + 0.253722i \(0.918345\pi\)
\(228\) 1.33529 0.995932i 0.0884320 0.0659572i
\(229\) 4.07746 + 7.06236i 0.269446 + 0.466694i 0.968719 0.248161i \(-0.0798261\pi\)
−0.699273 + 0.714855i \(0.746493\pi\)
\(230\) 6.78324 6.77642i 0.447274 0.446824i
\(231\) 1.15775 0.140934i 0.0761746 0.00927279i
\(232\) 2.92306 + 16.4494i 0.191908 + 1.07996i
\(233\) 23.4709 13.5509i 1.53763 0.887750i 0.538652 0.842528i \(-0.318934\pi\)
0.998977 0.0452221i \(-0.0143995\pi\)
\(234\) −0.139064 2.36952i −0.00909088 0.154900i
\(235\) −6.33971 + 19.0717i −0.413557 + 1.24410i
\(236\) −2.02701 17.2097i −0.131947 1.12026i
\(237\) 13.5268i 0.878661i
\(238\) 25.1682 4.57350i 1.63141 0.296456i
\(239\) 18.6789i 1.20824i 0.796894 + 0.604119i \(0.206475\pi\)
−0.796894 + 0.604119i \(0.793525\pi\)
\(240\) −11.6443 1.00903i −0.751635 0.0651327i
\(241\) −17.4676 10.0849i −1.12518 0.649625i −0.182465 0.983212i \(-0.558408\pi\)
−0.942719 + 0.333587i \(0.891741\pi\)
\(242\) −15.3690 + 0.901982i −0.987955 + 0.0579816i
\(243\) 6.15789 + 10.6658i 0.395029 + 0.684210i
\(244\) −6.28007 + 14.5944i −0.402040 + 0.934313i
\(245\) 15.6041 + 1.22987i 0.996908 + 0.0785736i
\(246\) −8.15351 + 5.36783i −0.519849 + 0.342241i
\(247\) −0.413870 0.716843i −0.0263339 0.0456116i
\(248\) −2.08412 + 5.74986i −0.132341 + 0.365116i
\(249\) −2.46205 + 4.26440i −0.156026 + 0.270245i
\(250\) −15.6499 + 2.25407i −0.989786 + 0.142560i
\(251\) 21.5319i 1.35908i −0.733637 0.679542i \(-0.762179\pi\)
0.733637 0.679542i \(-0.237821\pi\)
\(252\) 4.72116 + 4.94767i 0.297405 + 0.311674i
\(253\) 1.02283 0.0643047
\(254\) 2.84916 5.67942i 0.178772 0.356358i
\(255\) −18.9566 6.30147i −1.18711 0.394613i
\(256\) −13.3989 8.74464i −0.837433 0.546540i
\(257\) 4.89663 + 8.48121i 0.305443 + 0.529043i 0.977360 0.211583i \(-0.0678620\pi\)
−0.671917 + 0.740627i \(0.734529\pi\)
\(258\) 16.3632 10.7726i 1.01873 0.670676i
\(259\) 22.6088 2.75219i 1.40484 0.171013i
\(260\) −1.17477 + 5.68770i −0.0728560 + 0.352736i
\(261\) −6.61130 + 3.81703i −0.409229 + 0.236268i
\(262\) −0.407720 6.94719i −0.0251890 0.429199i
\(263\) 8.74263 15.1427i 0.539094 0.933737i −0.459860 0.887992i \(-0.652100\pi\)
0.998953 0.0457458i \(-0.0145664\pi\)
\(264\) −0.802716 0.954058i −0.0494038 0.0587182i
\(265\) 3.26923 + 15.9089i 0.200827 + 0.977279i
\(266\) 2.24527 + 0.803957i 0.137667 + 0.0492938i
\(267\) 9.71606i 0.594613i
\(268\) −2.95662 25.1023i −0.180604 1.53337i
\(269\) −9.86300 + 17.0832i −0.601358 + 1.04158i 0.391258 + 0.920281i \(0.372040\pi\)
−0.992616 + 0.121301i \(0.961293\pi\)
\(270\) −4.58219 17.1354i −0.278863 1.04283i
\(271\) 2.58340 + 4.47458i 0.156930 + 0.271811i 0.933760 0.357899i \(-0.116507\pi\)
−0.776830 + 0.629710i \(0.783174\pi\)
\(272\) −18.8016 19.8578i −1.14002 1.20406i
\(273\) −3.58858 + 2.69835i −0.217191 + 0.163312i
\(274\) −19.4077 + 12.7770i −1.17246 + 0.771886i
\(275\) −1.35104 1.00979i −0.0814705 0.0608927i
\(276\) −4.73765 6.35199i −0.285173 0.382345i
\(277\) −7.49971 + 12.9899i −0.450614 + 0.780486i −0.998424 0.0561162i \(-0.982128\pi\)
0.547810 + 0.836603i \(0.315462\pi\)
\(278\) 12.4516 + 6.24652i 0.746798 + 0.374641i
\(279\) −2.79457 −0.167307
\(280\) −8.01753 14.6874i −0.479139 0.877739i
\(281\) 23.7107 1.41446 0.707232 0.706981i \(-0.249944\pi\)
0.707232 + 0.706981i \(0.249944\pi\)
\(282\) 14.8466 + 7.44798i 0.884100 + 0.443521i
\(283\) −5.91985 + 10.2535i −0.351899 + 0.609506i −0.986582 0.163266i \(-0.947797\pi\)
0.634683 + 0.772772i \(0.281131\pi\)
\(284\) 5.66738 4.22703i 0.336297 0.250828i
\(285\) −1.23681 1.39245i −0.0732624 0.0824814i
\(286\) −0.517477 + 0.340679i −0.0305990 + 0.0201448i
\(287\) −12.8590 5.47409i −0.759043 0.323125i
\(288\) 1.67024 7.11761i 0.0984196 0.419409i
\(289\) −14.8699 25.7553i −0.874697 1.51502i
\(290\) 18.0451 4.82544i 1.05964 0.283360i
\(291\) 3.94349 6.83033i 0.231172 0.400401i
\(292\) 23.5817 2.77752i 1.38001 0.162542i
\(293\) 5.93168i 0.346533i 0.984875 + 0.173266i \(0.0554321\pi\)
−0.984875 + 0.173266i \(0.944568\pi\)
\(294\) 2.85723 12.6167i 0.166637 0.735819i
\(295\) −18.9775 + 3.89980i −1.10491 + 0.227055i
\(296\) −15.6756 18.6310i −0.911124 1.08291i
\(297\) 0.946090 1.63868i 0.0548977 0.0950856i
\(298\) −1.20469 20.5268i −0.0697857 1.18909i
\(299\) −3.41002 + 1.96878i −0.197207 + 0.113857i
\(300\) −0.0131522 + 13.0675i −0.000759341 + 0.754452i
\(301\) 25.8066 + 10.9859i 1.48747 + 0.633216i
\(302\) −8.97530 + 5.90886i −0.516471 + 0.340017i
\(303\) 0.989287 + 1.71350i 0.0568331 + 0.0984377i
\(304\) −0.592364 2.47976i −0.0339744 0.142224i
\(305\) 16.8567 + 5.60342i 0.965211 + 0.320851i
\(306\) 5.60306 11.1690i 0.320305 0.638487i
\(307\) 8.83855 0.504443 0.252221 0.967670i \(-0.418839\pi\)
0.252221 + 0.967670i \(0.418839\pi\)
\(308\) 0.502257 1.71292i 0.0286188 0.0976029i
\(309\) 9.95951i 0.566577i
\(310\) 6.60392 + 1.77308i 0.375077 + 0.100704i
\(311\) −11.3386 + 19.6391i −0.642955 + 1.11363i 0.341814 + 0.939768i \(0.388959\pi\)
−0.984770 + 0.173864i \(0.944375\pi\)
\(312\) 4.51259 + 1.63565i 0.255475 + 0.0926005i
\(313\) −10.2270 17.7137i −0.578064 1.00124i −0.995701 0.0926229i \(-0.970475\pi\)
0.417637 0.908614i \(-0.362858\pi\)
\(314\) −21.3643 + 14.0651i −1.20566 + 0.793741i
\(315\) 5.06109 5.73117i 0.285160 0.322915i
\(316\) −19.0171 8.18317i −1.06980 0.460339i
\(317\) 1.04378 + 1.80788i 0.0586245 + 0.101541i 0.893848 0.448370i \(-0.147995\pi\)
−0.835224 + 0.549910i \(0.814662\pi\)
\(318\) 13.3998 0.786415i 0.751424 0.0441000i
\(319\) 1.72567 + 0.996314i 0.0966188 + 0.0557829i
\(320\) −8.46289 + 15.7601i −0.473090 + 0.881014i
\(321\) 2.53904i 0.141715i
\(322\) 3.82442 10.6808i 0.213127 0.595216i
\(323\) 4.35756i 0.242461i
\(324\) −6.85754 + 0.807700i −0.380974 + 0.0448722i
\(325\) 6.44792 + 0.766035i 0.357666 + 0.0424920i
\(326\) −0.612708 10.4400i −0.0339348 0.578218i
\(327\) −1.73710 + 1.00291i −0.0960617 + 0.0554613i
\(328\) 2.61400 + 14.7102i 0.144334 + 0.812234i
\(329\) 2.87354 + 23.6058i 0.158424 + 1.30143i
\(330\) −0.986200 + 0.985208i −0.0542885 + 0.0542339i
\(331\) −6.62025 11.4666i −0.363882 0.630262i 0.624714 0.780854i \(-0.285216\pi\)
−0.988596 + 0.150591i \(0.951882\pi\)
\(332\) 4.50580 + 6.04114i 0.247288 + 0.331551i
\(333\) 5.56278 9.63502i 0.304839 0.527996i
\(334\) 23.6653 + 11.8720i 1.29491 + 0.649608i
\(335\) −27.6808 + 5.68830i −1.51236 + 0.310785i
\(336\) −12.9640 + 4.81498i −0.707247 + 0.262679i
\(337\) 13.0464i 0.710681i −0.934737 0.355341i \(-0.884365\pi\)
0.934737 0.355341i \(-0.115635\pi\)
\(338\) −7.17431 + 14.3010i −0.390231 + 0.777874i
\(339\) −7.63381 4.40738i −0.414612 0.239376i
\(340\) −20.3271 + 22.8386i −1.10239 + 1.23860i
\(341\) 0.364717 + 0.631708i 0.0197505 + 0.0342089i
\(342\) 0.973033 0.640593i 0.0526156 0.0346393i
\(343\) 17.3107 6.58317i 0.934692 0.355458i
\(344\) −5.24600 29.5217i −0.282845 1.59170i
\(345\) −6.62387 + 5.88351i −0.356617 + 0.316758i
\(346\) −0.804882 13.7145i −0.0432707 0.737294i
\(347\) −22.2014 12.8180i −1.19184 0.688107i −0.233113 0.972450i \(-0.574891\pi\)
−0.958723 + 0.284343i \(0.908225\pi\)
\(348\) −1.80580 15.3316i −0.0968010 0.821860i
\(349\) 24.9774 1.33701 0.668505 0.743708i \(-0.266935\pi\)
0.668505 + 0.743708i \(0.266935\pi\)
\(350\) −15.5962 + 10.3324i −0.833654 + 0.552287i
\(351\) 7.28427i 0.388806i
\(352\) −1.82690 + 0.551358i −0.0973742 + 0.0293875i
\(353\) 4.78385 8.28587i 0.254619 0.441012i −0.710173 0.704027i \(-0.751383\pi\)
0.964792 + 0.263015i \(0.0847168\pi\)
\(354\) 0.938101 + 15.9844i 0.0498595 + 0.849561i
\(355\) −5.24939 5.90995i −0.278609 0.313668i
\(356\) 13.6596 + 5.87782i 0.723959 + 0.311524i
\(357\) −23.4634 + 2.85621i −1.24181 + 0.151167i
\(358\) 1.85772 + 2.82180i 0.0981838 + 0.149137i
\(359\) 17.0899 9.86683i 0.901968 0.520752i 0.0241299 0.999709i \(-0.492318\pi\)
0.877838 + 0.478957i \(0.158985\pi\)
\(360\) −8.08804 1.18155i −0.426277 0.0622732i
\(361\) −9.29687 + 16.1027i −0.489309 + 0.847508i
\(362\) −6.25994 + 12.4784i −0.329015 + 0.655848i
\(363\) 14.2255 0.746647
\(364\) 1.62262 + 6.67751i 0.0850482 + 0.349996i
\(365\) −5.34373 26.0040i −0.279703 1.36111i
\(366\) 6.58297 13.1223i 0.344097 0.685913i
\(367\) 8.78783 + 5.07365i 0.458721 + 0.264843i 0.711506 0.702680i \(-0.248013\pi\)
−0.252785 + 0.967522i \(0.581347\pi\)
\(368\) −11.7962 + 2.81788i −0.614921 + 0.146892i
\(369\) −5.91226 + 3.41345i −0.307780 + 0.177697i
\(370\) −19.2587 + 19.2393i −1.00121 + 1.00020i
\(371\) 11.5492 + 15.3594i 0.599603 + 0.797422i
\(372\) 2.23371 5.19099i 0.115813 0.269140i
\(373\) 9.28187 + 16.0767i 0.480597 + 0.832419i 0.999752 0.0222614i \(-0.00708662\pi\)
−0.519155 + 0.854680i \(0.673753\pi\)
\(374\) −3.25597 + 0.191088i −0.168362 + 0.00988094i
\(375\) 14.5579 1.23199i 0.751765 0.0636195i
\(376\) 19.4525 16.3668i 1.00319 0.844053i
\(377\) −7.67097 −0.395075
\(378\) −13.5742 16.0065i −0.698181 0.823288i
\(379\) 23.9371 1.22956 0.614782 0.788697i \(-0.289244\pi\)
0.614782 + 0.788697i \(0.289244\pi\)
\(380\) −2.70583 + 0.896437i −0.138806 + 0.0459862i
\(381\) −2.93559 + 5.08459i −0.150395 + 0.260491i
\(382\) 1.06698 + 18.1804i 0.0545916 + 0.930192i
\(383\) −19.1286 + 11.0439i −0.977428 + 0.564318i −0.901493 0.432794i \(-0.857528\pi\)
−0.0759355 + 0.997113i \(0.524194\pi\)
\(384\) 11.8861 + 8.79163i 0.606560 + 0.448646i
\(385\) −1.95604 0.396080i −0.0996889 0.0201861i
\(386\) −5.84929 + 3.85086i −0.297721 + 0.196003i
\(387\) 11.8653 6.85041i 0.603145 0.348226i
\(388\) −7.21698 9.67615i −0.366387 0.491232i
\(389\) −2.69778 1.55757i −0.136783 0.0789717i 0.430047 0.902807i \(-0.358497\pi\)
−0.566830 + 0.823835i \(0.691830\pi\)
\(390\) 1.39154 5.18287i 0.0704635 0.262445i
\(391\) −20.7289 −1.04831
\(392\) −16.0090 11.6495i −0.808578 0.588388i
\(393\) 6.43032i 0.324367i
\(394\) −4.16395 + 8.30029i −0.209777 + 0.418163i
\(395\) −7.30146 + 21.9649i −0.367376 + 1.10517i
\(396\) −0.521321 0.698959i −0.0261973 0.0351240i
\(397\) 21.1570 12.2150i 1.06184 0.613054i 0.135900 0.990723i \(-0.456607\pi\)
0.925941 + 0.377668i \(0.123274\pi\)
\(398\) 21.4917 + 32.6449i 1.07728 + 1.63634i
\(399\) −2.02757 0.863139i −0.101506 0.0432110i
\(400\) 18.3634 + 7.92378i 0.918169 + 0.396189i
\(401\) −12.5658 21.7647i −0.627508 1.08688i −0.988050 0.154133i \(-0.950742\pi\)
0.360542 0.932743i \(-0.382592\pi\)
\(402\) 1.36832 + 23.3150i 0.0682458 + 1.16285i
\(403\) −2.43187 1.40404i −0.121140 0.0699402i
\(404\) 3.00745 0.354226i 0.149626 0.0176234i
\(405\) 1.55395 + 7.56194i 0.0772165 + 0.375756i
\(406\) 16.8563 14.2948i 0.836563 0.709438i
\(407\) −2.90397 −0.143945
\(408\) 16.2681 + 19.3352i 0.805389 + 0.957235i
\(409\) 9.63575 + 5.56320i 0.476457 + 0.275083i 0.718939 0.695073i \(-0.244628\pi\)
−0.242482 + 0.970156i \(0.577961\pi\)
\(410\) 16.1371 4.31523i 0.796956 0.213114i
\(411\) 18.5938 10.7352i 0.917166 0.529526i
\(412\) 14.0019 + 6.02509i 0.689823 + 0.296835i
\(413\) −18.3220 + 13.7768i −0.901566 + 0.677912i
\(414\) −3.04730 4.62872i −0.149767 0.227489i
\(415\) 6.29971 5.59559i 0.309241 0.274677i
\(416\) 5.02946 5.35467i 0.246590 0.262534i
\(417\) −11.1475 6.43602i −0.545896 0.315173i
\(418\) −0.271794 0.136349i −0.0132939 0.00666906i
\(419\) 4.05377i 0.198040i 0.995085 + 0.0990198i \(0.0315707\pi\)
−0.995085 + 0.0990198i \(0.968429\pi\)
\(420\) 6.60045 + 13.9820i 0.322069 + 0.682253i
\(421\) 22.4223i 1.09279i −0.837526 0.546397i \(-0.815999\pi\)
0.837526 0.546397i \(-0.184001\pi\)
\(422\) 10.3182 20.5680i 0.502283 1.00123i
\(423\) 10.0599 + 5.80807i 0.489128 + 0.282398i
\(424\) 7.00073 19.3143i 0.339985 0.937985i
\(425\) 27.3805 + 20.4647i 1.32815 + 0.992684i
\(426\) −5.45656 + 3.59230i −0.264371 + 0.174048i
\(427\) 20.8642 2.53981i 1.00969 0.122910i
\(428\) −3.56959 1.53601i −0.172542 0.0742460i
\(429\) 0.495776 0.286236i 0.0239363 0.0138196i
\(430\) −32.3854 + 8.66019i −1.56176 + 0.417631i
\(431\) 14.0817 + 8.13005i 0.678289 + 0.391611i 0.799210 0.601052i \(-0.205251\pi\)
−0.120921 + 0.992662i \(0.538585\pi\)
\(432\) −6.39668 + 21.5052i −0.307760 + 1.03467i
\(433\) 2.53783 0.121960 0.0609801 0.998139i \(-0.480577\pi\)
0.0609801 + 0.998139i \(0.480577\pi\)
\(434\) 7.96024 1.44651i 0.382104 0.0694349i
\(435\) −16.9065 + 3.47422i −0.810603 + 0.166576i
\(436\) 0.359105 + 3.04888i 0.0171980 + 0.146015i
\(437\) −1.67365 0.966283i −0.0800616 0.0462236i
\(438\) −21.9027 + 1.28544i −1.04655 + 0.0614206i
\(439\) −11.3888 19.7261i −0.543560 0.941473i −0.998696 0.0510514i \(-0.983743\pi\)
0.455136 0.890422i \(-0.349591\pi\)
\(440\) 0.788475 + 1.98249i 0.0375891 + 0.0945115i
\(441\) 2.51170 8.69118i 0.119605 0.413866i
\(442\) 10.4873 6.90429i 0.498831 0.328403i
\(443\) 1.64896 0.952029i 0.0783446 0.0452323i −0.460316 0.887755i \(-0.652264\pi\)
0.538661 + 0.842523i \(0.318931\pi\)
\(444\) 13.4509 + 18.0343i 0.638353 + 0.855870i
\(445\) 5.24451 15.7770i 0.248613 0.747900i
\(446\) 2.25566 + 1.13158i 0.106808 + 0.0535819i
\(447\) 18.9996i 0.898652i
\(448\) −1.07342 + 21.1388i −0.0507145 + 0.998713i
\(449\) −22.8903 −1.08026 −0.540130 0.841582i \(-0.681625\pi\)
−0.540130 + 0.841582i \(0.681625\pi\)
\(450\) −0.544597 + 9.12245i −0.0256725 + 0.430036i
\(451\) 1.54321 + 0.890970i 0.0726667 + 0.0419542i
\(452\) −10.8144 + 8.06594i −0.508666 + 0.379390i
\(453\) 8.59892 4.96459i 0.404012 0.233257i
\(454\) −16.4819 25.0354i −0.773535 1.17497i
\(455\) 7.28365 2.44456i 0.341463 0.114603i
\(456\) 0.412167 + 2.31946i 0.0193015 + 0.108619i
\(457\) −32.0413 + 18.4990i −1.49883 + 0.865349i −0.999999 0.00135206i \(-0.999570\pi\)
−0.498829 + 0.866701i \(0.666236\pi\)
\(458\) −11.5130 + 0.675680i −0.537966 + 0.0315725i
\(459\) −19.1737 + 33.2098i −0.894952 + 1.55010i
\(460\) 4.26435 + 12.8717i 0.198826 + 0.600144i
\(461\) −7.04683 −0.328204 −0.164102 0.986443i \(-0.552473\pi\)
−0.164102 + 0.986443i \(0.552473\pi\)
\(462\) −0.556025 + 1.55285i −0.0258686 + 0.0722453i
\(463\) 36.8182 1.71109 0.855543 0.517731i \(-0.173223\pi\)
0.855543 + 0.517731i \(0.173223\pi\)
\(464\) −22.6468 6.73625i −1.05135 0.312723i
\(465\) −5.99563 1.99304i −0.278041 0.0924249i
\(466\) 2.24554 + 38.2620i 0.104023 + 1.77245i
\(467\) −13.6516 23.6452i −0.631719 1.09417i −0.987200 0.159486i \(-0.949016\pi\)
0.355481 0.934683i \(-0.384317\pi\)
\(468\) 3.08342 + 1.32681i 0.142531 + 0.0613320i
\(469\) −26.7247 + 20.0950i −1.23403 + 0.927901i
\(470\) −20.0877 20.1079i −0.926575 0.927508i
\(471\) 20.4684 11.8174i 0.943134 0.544519i
\(472\) 23.0397 + 8.35104i 1.06049 + 0.384388i
\(473\) −3.09704 1.78808i −0.142402 0.0822160i
\(474\) 17.0988 + 8.57786i 0.785375 + 0.393994i
\(475\) 1.25673 + 2.92866i 0.0576626 + 0.134376i
\(476\) −10.1789 + 34.7146i −0.466548 + 1.59114i
\(477\) 9.38722 0.429811
\(478\) −23.6114 11.8450i −1.07996 0.541777i
\(479\) 8.50010 14.7226i 0.388379 0.672693i −0.603852 0.797096i \(-0.706368\pi\)
0.992232 + 0.124403i \(0.0397017\pi\)
\(480\) 8.65956 14.0793i 0.395253 0.642630i
\(481\) 9.68159 5.58967i 0.441443 0.254867i
\(482\) 23.8248 15.6850i 1.08519 0.714431i
\(483\) −4.10595 + 9.64516i −0.186827 + 0.438870i
\(484\) 8.60587 19.9994i 0.391176 0.909064i
\(485\) −10.0903 + 8.96251i −0.458177 + 0.406966i
\(486\) −17.3872 + 1.02043i −0.788701 + 0.0462877i
\(487\) −19.8165 + 34.3232i −0.897973 + 1.55533i −0.0678912 + 0.997693i \(0.521627\pi\)
−0.830082 + 0.557642i \(0.811706\pi\)
\(488\) −14.4659 17.1933i −0.654843 0.778305i
\(489\) 9.66327i 0.436988i
\(490\) −11.4498 + 18.9447i −0.517248 + 0.855836i
\(491\) −42.8252 −1.93267 −0.966337 0.257280i \(-0.917174\pi\)
−0.966337 + 0.257280i \(0.917174\pi\)
\(492\) −1.61487 13.7105i −0.0728038 0.618119i
\(493\) −34.9728 20.1916i −1.57510 0.909383i
\(494\) 1.16859 0.0685828i 0.0525773 0.00308569i
\(495\) −0.728876 + 0.647409i −0.0327606 + 0.0290989i
\(496\) −5.94660 6.28066i −0.267010 0.282010i
\(497\) −8.60561 3.66342i −0.386014 0.164327i
\(498\) −3.82922 5.81642i −0.171591 0.260640i
\(499\) −0.363871 0.630243i −0.0162891 0.0282136i 0.857766 0.514040i \(-0.171852\pi\)
−0.874055 + 0.485827i \(0.838519\pi\)
\(500\) 7.07488 21.2119i 0.316398 0.948626i
\(501\) −21.1868 12.2322i −0.946555 0.546494i
\(502\) 27.2178 + 13.6542i 1.21479 + 0.609416i
\(503\) 4.71017i 0.210016i 0.994471 + 0.105008i \(0.0334868\pi\)
−0.994471 + 0.105008i \(0.966513\pi\)
\(504\) −9.24805 + 2.83037i −0.411941 + 0.126075i
\(505\) −0.681503 3.31637i −0.0303265 0.147577i
\(506\) −0.648614 + 1.29293i −0.0288344 + 0.0574776i
\(507\) 7.39196 12.8032i 0.328288 0.568612i
\(508\) 5.37242 + 7.20306i 0.238363 + 0.319584i
\(509\) −16.9005 29.2726i −0.749103 1.29749i −0.948253 0.317516i \(-0.897151\pi\)
0.199150 0.979969i \(-0.436182\pi\)
\(510\) 19.9866 19.9665i 0.885021 0.884131i
\(511\) −18.8777 25.1058i −0.835101 1.11061i
\(512\) 19.5506 11.3919i 0.864022 0.503454i
\(513\) −3.09617 + 1.78757i −0.136699 + 0.0789232i
\(514\) −13.8260 + 0.811426i −0.609837 + 0.0357905i
\(515\) 5.37591 16.1723i 0.236891 0.712636i
\(516\) 3.24086 + 27.5155i 0.142671 + 1.21130i
\(517\) 3.03202i 0.133348i
\(518\) −10.8581 + 30.3244i −0.477079 + 1.33238i
\(519\) 12.6941i 0.557210i
\(520\) −6.44468 5.09177i −0.282618 0.223289i
\(521\) −1.19800 0.691667i −0.0524855 0.0303025i 0.473528 0.880779i \(-0.342980\pi\)
−0.526013 + 0.850476i \(0.676314\pi\)
\(522\) −0.632525 10.7777i −0.0276849 0.471725i
\(523\) 10.5809 + 18.3267i 0.462671 + 0.801370i 0.999093 0.0425801i \(-0.0135578\pi\)
−0.536422 + 0.843950i \(0.680224\pi\)
\(524\) 9.04027 + 3.89008i 0.394926 + 0.169939i
\(525\) 14.9457 8.68650i 0.652284 0.379110i
\(526\) 13.5974 + 20.6538i 0.592873 + 0.900549i
\(527\) −7.39145 12.8024i −0.321977 0.557680i
\(528\) 1.71503 0.409685i 0.0746370 0.0178292i
\(529\) 6.90339 11.9570i 0.300147 0.519871i
\(530\) −22.1831 5.95592i −0.963574 0.258709i
\(531\) 11.1978i 0.485945i
\(532\) −2.44007 + 2.32836i −0.105790 + 0.100947i
\(533\) −6.85989 −0.297135
\(534\) −12.2818 6.16132i −0.531484 0.266626i
\(535\) −1.37051 + 4.12290i −0.0592525 + 0.178248i
\(536\) 33.6059 + 12.1809i 1.45155 + 0.526136i
\(537\) −1.56085 2.70347i −0.0673556 0.116663i
\(538\) −15.3399 23.3006i −0.661349 1.00456i
\(539\) −2.29243 + 0.566512i −0.0987418 + 0.0244014i
\(540\) 24.5661 + 5.07402i 1.05716 + 0.218351i
\(541\) 2.03605 1.17551i 0.0875366 0.0505393i −0.455593 0.890188i \(-0.650573\pi\)
0.543129 + 0.839649i \(0.317239\pi\)
\(542\) −7.29440 + 0.428098i −0.313321 + 0.0183884i
\(543\) 6.44984 11.1715i 0.276789 0.479413i
\(544\) 37.0245 11.1740i 1.58741 0.479080i
\(545\) 3.36206 0.690890i 0.144015 0.0295945i
\(546\) −1.13525 6.24734i −0.0485842 0.267361i
\(547\) 37.9822i 1.62400i −0.583656 0.812001i \(-0.698378\pi\)
0.583656 0.812001i \(-0.301622\pi\)
\(548\) −3.84385 32.6350i −0.164201 1.39410i
\(549\) 5.13352 8.89152i 0.219093 0.379481i
\(550\) 2.13319 1.06746i 0.0909594 0.0455165i
\(551\) −1.88247 3.26053i −0.0801958 0.138903i
\(552\) 11.0337 1.96068i 0.469624 0.0834521i
\(553\) 3.30947 + 27.1868i 0.140733 + 1.15610i
\(554\) −11.6643 17.7175i −0.495567 0.752745i
\(555\) 18.8062 16.7042i 0.798279 0.709055i
\(556\) −15.7921 + 11.7785i −0.669733 + 0.499522i
\(557\) −12.5827 + 21.7938i −0.533144 + 0.923433i 0.466106 + 0.884729i \(0.345656\pi\)
−0.999251 + 0.0387043i \(0.987677\pi\)
\(558\) 1.77214 3.53253i 0.0750208 0.149544i
\(559\) 13.7670 0.582284
\(560\) 23.6501 0.820891i 0.999398 0.0346890i
\(561\) 3.01373 0.127240
\(562\) −15.0359 + 29.9720i −0.634250 + 1.26429i
\(563\) 22.7306 39.3705i 0.957980 1.65927i 0.230585 0.973052i \(-0.425936\pi\)
0.727396 0.686218i \(-0.240731\pi\)
\(564\) −18.8295 + 14.0440i −0.792866 + 0.591361i
\(565\) 10.0168 + 11.2773i 0.421410 + 0.474438i
\(566\) −9.20711 13.9852i −0.387004 0.587842i
\(567\) 5.48963 + 7.30074i 0.230543 + 0.306602i
\(568\) 1.74936 + 9.84447i 0.0734015 + 0.413065i
\(569\) −5.41670 9.38201i −0.227080 0.393314i 0.729861 0.683595i \(-0.239585\pi\)
−0.956941 + 0.290281i \(0.906251\pi\)
\(570\) 2.54446 0.680413i 0.106576 0.0284994i
\(571\) 0.714547 1.23763i 0.0299029 0.0517933i −0.850687 0.525673i \(-0.823814\pi\)
0.880590 + 0.473880i \(0.157147\pi\)
\(572\) −0.102490 0.870163i −0.00428533 0.0363833i
\(573\) 16.8278i 0.702993i
\(574\) 15.0740 12.7833i 0.629177 0.533567i
\(575\) 13.9316 5.97826i 0.580990 0.249311i
\(576\) 7.93798 + 6.62483i 0.330749 + 0.276035i
\(577\) 7.32076 12.6799i 0.304767 0.527872i −0.672442 0.740149i \(-0.734755\pi\)
0.977209 + 0.212277i \(0.0680880\pi\)
\(578\) 41.9861 2.46410i 1.74639 0.102493i
\(579\) 5.60399 3.23547i 0.232894 0.134461i
\(580\) −5.34338 + 25.8702i −0.221872 + 1.07420i
\(581\) 3.90502 9.17314i 0.162007 0.380566i
\(582\) 6.13329 + 9.31621i 0.254233 + 0.386169i
\(583\) −1.22512 2.12196i −0.0507391 0.0878827i
\(584\) −11.4431 + 31.5702i −0.473517 + 1.30638i
\(585\) 1.18385 3.56138i 0.0489464 0.147245i
\(586\) −7.49806 3.76150i −0.309742 0.155386i
\(587\) −20.7299 −0.855616 −0.427808 0.903870i \(-0.640714\pi\)
−0.427808 + 0.903870i \(0.640714\pi\)
\(588\) 14.1365 + 11.6124i 0.582978 + 0.478889i
\(589\) 1.37821i 0.0567884i
\(590\) 7.10471 26.4619i 0.292496 1.08942i
\(591\) 4.29027 7.43097i 0.176478 0.305669i
\(592\) 33.4913 8.00040i 1.37649 0.328814i
\(593\) −0.830997 1.43933i −0.0341249 0.0591061i 0.848459 0.529262i \(-0.177531\pi\)
−0.882583 + 0.470156i \(0.844198\pi\)
\(594\) 1.47145 + 2.23507i 0.0603742 + 0.0917059i
\(595\) 39.6416 + 8.02706i 1.62515 + 0.329077i
\(596\) 26.7112 + 11.4940i 1.09413 + 0.470812i
\(597\) −18.0572 31.2760i −0.739031 1.28004i
\(598\) −0.326249 5.55898i −0.0133413 0.227324i
\(599\) −31.9015 18.4183i −1.30346 0.752553i −0.322464 0.946582i \(-0.604511\pi\)
−0.980996 + 0.194029i \(0.937844\pi\)
\(600\) −16.5099 8.30320i −0.674012 0.338977i
\(601\) 36.8443i 1.50291i 0.659785 + 0.751455i \(0.270647\pi\)
−0.659785 + 0.751455i \(0.729353\pi\)
\(602\) −30.2519 + 25.6548i −1.23297 + 1.04561i
\(603\) 16.3333i 0.665143i
\(604\) −1.77763 15.0924i −0.0723307 0.614102i
\(605\) −23.0995 7.67861i −0.939127 0.312180i
\(606\) −2.79332 + 0.163936i −0.113471 + 0.00665944i
\(607\) 16.7562 9.67418i 0.680112 0.392663i −0.119785 0.992800i \(-0.538221\pi\)
0.799897 + 0.600137i \(0.204887\pi\)
\(608\) 3.51023 + 0.823720i 0.142359 + 0.0334062i
\(609\) −16.3225 + 12.2733i −0.661421 + 0.497340i
\(610\) −17.7726 + 17.7547i −0.719590 + 0.718866i
\(611\) 5.83615 + 10.1085i 0.236105 + 0.408946i
\(612\) 10.5652 + 14.1653i 0.427074 + 0.572598i
\(613\) 6.61363 11.4551i 0.267122 0.462669i −0.700995 0.713166i \(-0.747261\pi\)
0.968117 + 0.250497i \(0.0805940\pi\)
\(614\) −5.60485 + 11.1725i −0.226193 + 0.450887i
\(615\) −15.1189 + 3.10688i −0.609652 + 0.125281i
\(616\) 1.84675 + 1.72112i 0.0744079 + 0.0693458i
\(617\) 12.0831i 0.486448i 0.969970 + 0.243224i \(0.0782049\pi\)
−0.969970 + 0.243224i \(0.921795\pi\)
\(618\) −12.5895 6.31569i −0.506424 0.254054i
\(619\) −10.4861 6.05415i −0.421472 0.243337i 0.274235 0.961663i \(-0.411575\pi\)
−0.695707 + 0.718326i \(0.744909\pi\)
\(620\) −6.42908 + 7.22343i −0.258198 + 0.290100i
\(621\) 8.50348 + 14.7285i 0.341233 + 0.591033i
\(622\) −17.6349 26.7867i −0.707096 1.07405i
\(623\) −2.37713 19.5278i −0.0952376 0.782364i
\(624\) −4.92918 + 4.66700i −0.197325 + 0.186830i
\(625\) −24.3041 5.85749i −0.972164 0.234300i
\(626\) 28.8766 1.69473i 1.15414 0.0677350i
\(627\) 0.243328 + 0.140486i 0.00971760 + 0.00561046i
\(628\) −4.23137 35.9252i −0.168850 1.43357i
\(629\) 58.8527 2.34661
\(630\) 4.03518 + 10.0319i 0.160765 + 0.399681i
\(631\) 3.98549i 0.158660i 0.996848 + 0.0793299i \(0.0252780\pi\)
−0.996848 + 0.0793299i \(0.974722\pi\)
\(632\) 22.4035 18.8497i 0.891165 0.749800i
\(633\) −10.6312 + 18.4138i −0.422554 + 0.731884i
\(634\) −2.94718 + 0.172966i −0.117048 + 0.00686935i
\(635\) 7.51136 6.67181i 0.298079 0.264763i
\(636\) −7.50323 + 17.4370i −0.297523 + 0.691421i
\(637\) 6.55231 6.30125i 0.259612 0.249664i
\(638\) −2.35372 + 1.54956i −0.0931846 + 0.0613477i
\(639\) −3.95665 + 2.28437i −0.156523 + 0.0903684i
\(640\) −14.5552 20.6917i −0.575343 0.817912i
\(641\) −3.32962 + 5.76707i −0.131512 + 0.227786i −0.924260 0.381764i \(-0.875317\pi\)
0.792748 + 0.609550i \(0.208650\pi\)
\(642\) 3.20952 + 1.61010i 0.126670 + 0.0635455i
\(643\) 22.3506 0.881421 0.440711 0.897649i \(-0.354727\pi\)
0.440711 + 0.897649i \(0.354727\pi\)
\(644\) 11.0760 + 11.6074i 0.436456 + 0.457396i
\(645\) 30.3419 6.23516i 1.19471 0.245509i
\(646\) 5.50826 + 2.76329i 0.216719 + 0.108720i
\(647\) 9.62380 + 5.55631i 0.378351 + 0.218441i 0.677100 0.735891i \(-0.263236\pi\)
−0.298750 + 0.954331i \(0.596570\pi\)
\(648\) 3.32763 9.18059i 0.130722 0.360648i
\(649\) 2.53125 1.46142i 0.0993603 0.0573657i
\(650\) −5.05719 + 7.66484i −0.198359 + 0.300640i
\(651\) −7.42102 + 0.903366i −0.290853 + 0.0354057i
\(652\) 13.5854 + 5.84588i 0.532046 + 0.228942i
\(653\) 7.41053 + 12.8354i 0.289997 + 0.502289i 0.973809 0.227369i \(-0.0730125\pi\)
−0.683812 + 0.729658i \(0.739679\pi\)
\(654\) −0.166194 2.83180i −0.00649870 0.110732i
\(655\) 3.47094 10.4416i 0.135621 0.407986i
\(656\) −20.2523 6.02401i −0.790720 0.235198i
\(657\) −15.3439 −0.598622
\(658\) −31.6615 11.3369i −1.23429 0.441960i
\(659\) −0.263237 −0.0102542 −0.00512712 0.999987i \(-0.501632\pi\)
−0.00512712 + 0.999987i \(0.501632\pi\)
\(660\) −0.619985 1.87138i −0.0241329 0.0728434i
\(661\) 13.3229 23.0759i 0.518199 0.897547i −0.481577 0.876404i \(-0.659936\pi\)
0.999776 0.0211434i \(-0.00673066\pi\)
\(662\) 18.6927 1.09705i 0.726514 0.0426380i
\(663\) −10.0475 + 5.80094i −0.390214 + 0.225290i
\(664\) −10.4937 + 1.86473i −0.407235 + 0.0723655i
\(665\) 2.82647 + 2.49600i 0.109606 + 0.0967909i
\(666\) 8.65176 + 13.1417i 0.335249 + 0.509229i
\(667\) −15.5103 + 8.95490i −0.600563 + 0.346735i
\(668\) −30.0141 + 22.3861i −1.16128 + 0.866144i
\(669\) −2.01941 1.16591i −0.0780750 0.0450766i
\(670\) 10.3630 38.5976i 0.400358 1.49115i
\(671\) −2.67988 −0.103456
\(672\) 2.13452 19.4408i 0.0823407 0.749945i
\(673\) 36.5349i 1.40832i 0.710043 + 0.704158i \(0.248676\pi\)
−0.710043 + 0.704158i \(0.751324\pi\)
\(674\) 16.4915 + 8.27319i 0.635230 + 0.318671i
\(675\) 3.30863 27.8496i 0.127349 1.07193i
\(676\) −13.5280 18.1376i −0.520308 0.697602i
\(677\) −17.0196 + 9.82627i −0.654116 + 0.377654i −0.790031 0.613066i \(-0.789936\pi\)
0.135915 + 0.990720i \(0.456602\pi\)
\(678\) 10.4121 6.85478i 0.399875 0.263256i
\(679\) −6.25470 + 14.6927i −0.240033 + 0.563855i
\(680\) −15.9794 40.1777i −0.612784 1.54074i
\(681\) 13.8480 + 23.9855i 0.530658 + 0.919126i
\(682\) −1.02980 + 0.0604376i −0.0394332 + 0.00231428i
\(683\) −5.62027 3.24486i −0.215054 0.124161i 0.388604 0.921405i \(-0.372957\pi\)
−0.603658 + 0.797244i \(0.706291\pi\)
\(684\) 0.192717 + 1.63620i 0.00736871 + 0.0625618i
\(685\) −35.9873 + 7.39526i −1.37500 + 0.282558i
\(686\) −2.65580 + 26.0566i −0.101399 + 0.994846i
\(687\) 10.6564 0.406568
\(688\) 40.6442 + 12.0895i 1.54954 + 0.460908i
\(689\) 8.16886 + 4.71630i 0.311209 + 0.179677i
\(690\) −3.23673 12.1040i −0.123220 0.460791i
\(691\) −14.9183 + 8.61308i −0.567518 + 0.327657i −0.756158 0.654390i \(-0.772926\pi\)
0.188639 + 0.982046i \(0.439592\pi\)
\(692\) 17.8464 + 7.67942i 0.678419 + 0.291928i
\(693\) −0.451810 + 1.06133i −0.0171629 + 0.0403167i
\(694\) 30.2816 19.9358i 1.14947 0.756752i
\(695\) 14.6274 + 16.4680i 0.554847 + 0.624667i
\(696\) 20.5253 + 7.43969i 0.778011 + 0.282001i
\(697\) −31.2750 18.0566i −1.18463 0.683944i
\(698\) −15.8391 + 31.5732i −0.599519 + 1.19506i
\(699\) 35.4153i 1.33953i
\(700\) −3.17065 26.2668i −0.119839 0.992793i
\(701\) 20.0480i 0.757201i 0.925560 + 0.378600i \(0.123595\pi\)
−0.925560 + 0.378600i \(0.876405\pi\)
\(702\) −9.20782 4.61923i −0.347527 0.174342i
\(703\) 4.75176 + 2.74343i 0.179216 + 0.103470i
\(704\) 0.461553 2.65897i 0.0173954 0.100214i
\(705\) 17.4408 + 19.6355i 0.656858 + 0.739514i
\(706\) 7.44029 + 11.3015i 0.280019 + 0.425337i
\(707\) −2.40754 3.20182i −0.0905447 0.120417i
\(708\) −20.8003 8.95047i −0.781721 0.336379i
\(709\) −13.6342 + 7.87172i −0.512044 + 0.295629i −0.733673 0.679502i \(-0.762196\pi\)
0.221630 + 0.975131i \(0.428862\pi\)
\(710\) 10.7994 2.88787i 0.405295 0.108380i
\(711\) 11.5860 + 6.68917i 0.434508 + 0.250863i
\(712\) −16.0920 + 13.5394i −0.603075 + 0.507409i
\(713\) −6.55617 −0.245531
\(714\) 11.2685 31.4705i 0.421715 1.17776i
\(715\) −0.959546 + 0.197183i −0.0358850 + 0.00737423i
\(716\) −4.74501 + 0.558880i −0.177329 + 0.0208863i
\(717\) 21.1385 + 12.2043i 0.789432 + 0.455779i
\(718\) 1.63504 + 27.8597i 0.0610193 + 1.03971i
\(719\) 11.4051 + 19.7541i 0.425337 + 0.736705i 0.996452 0.0841652i \(-0.0268223\pi\)
−0.571115 + 0.820870i \(0.693489\pi\)
\(720\) 6.62249 9.47458i 0.246806 0.353097i
\(721\) −2.43669 20.0171i −0.0907471 0.745474i
\(722\) −14.4594 21.9632i −0.538122 0.817385i
\(723\) −22.8257 + 13.1784i −0.848898 + 0.490111i
\(724\) −11.8038 15.8260i −0.438687 0.588168i
\(725\) 29.3281 + 3.48427i 1.08922 + 0.129403i
\(726\) −9.02094 + 17.9821i −0.334799 + 0.667377i
\(727\) 43.1926i 1.60193i −0.598714 0.800963i \(-0.704321\pi\)
0.598714 0.800963i \(-0.295679\pi\)
\(728\) −9.46979 2.18336i −0.350974 0.0809205i
\(729\) 26.4511 0.979669
\(730\) 36.2595 + 9.73527i 1.34202 + 0.360318i
\(731\) 62.7655 + 36.2377i 2.32147 + 1.34030i
\(732\) 12.4130 + 16.6427i 0.458797 + 0.615130i
\(733\) 12.9526 7.47818i 0.478415 0.276213i −0.241341 0.970440i \(-0.577587\pi\)
0.719756 + 0.694227i \(0.244254\pi\)
\(734\) −11.9861 + 7.89103i −0.442416 + 0.291263i
\(735\) 11.5871 16.8552i 0.427398 0.621715i
\(736\) 3.91844 16.6982i 0.144435 0.615503i
\(737\) 3.69211 2.13164i 0.136001 0.0785200i
\(738\) −0.565646 9.63810i −0.0208217 0.354783i
\(739\) −1.37228 + 2.37687i −0.0504803 + 0.0874344i −0.890161 0.455645i \(-0.849409\pi\)
0.839681 + 0.543080i \(0.182742\pi\)
\(740\) −12.1072 36.5447i −0.445068 1.34341i
\(741\) −1.08165 −0.0397353
\(742\) −26.7391 + 4.85897i −0.981624 + 0.178378i
\(743\) −20.5678 −0.754559 −0.377279 0.926099i \(-0.623140\pi\)
−0.377279 + 0.926099i \(0.623140\pi\)
\(744\) 5.14528 + 6.11536i 0.188635 + 0.224200i
\(745\) 10.2556 30.8517i 0.375735 1.13032i
\(746\) −26.2080 + 1.53811i −0.959543 + 0.0563142i
\(747\) −2.43503 4.21759i −0.0890930 0.154314i
\(748\) 1.82318 4.23695i 0.0666622 0.154918i
\(749\) 0.621200 + 5.10307i 0.0226982 + 0.186462i
\(750\) −7.67437 + 19.1834i −0.280228 + 0.700479i
\(751\) −31.6827 + 18.2920i −1.15612 + 0.667486i −0.950371 0.311119i \(-0.899296\pi\)
−0.205748 + 0.978605i \(0.565963\pi\)
\(752\) 8.35317 + 34.9681i 0.304609 + 1.27516i
\(753\) −24.3672 14.0684i −0.887991 0.512682i
\(754\) 4.86445 9.69663i 0.177153 0.353130i
\(755\) −16.6427 + 3.42002i −0.605691 + 0.124467i
\(756\) 28.8413 7.00835i 1.04895 0.254891i
\(757\) −34.7609 −1.26341 −0.631704 0.775210i \(-0.717644\pi\)
−0.631704 + 0.775210i \(0.717644\pi\)
\(758\) −15.1794 + 30.2581i −0.551340 + 1.09902i
\(759\) 0.668291 1.15751i 0.0242574 0.0420151i
\(760\) 0.582712 3.98883i 0.0211372 0.144690i
\(761\) −7.09181 + 4.09446i −0.257078 + 0.148424i −0.623001 0.782221i \(-0.714087\pi\)
0.365923 + 0.930645i \(0.380753\pi\)
\(762\) −4.56571 6.93512i −0.165398 0.251233i
\(763\) 3.24592 2.44070i 0.117510 0.0883593i
\(764\) −23.6579 10.1801i −0.855914 0.368305i
\(765\) 14.7716 13.1206i 0.534069 0.474375i
\(766\) −1.83010 31.1833i −0.0661243 1.12670i
\(767\) −5.62598 + 9.74449i −0.203142 + 0.351853i
\(768\) −18.6506 + 9.44975i −0.672997 + 0.340988i
\(769\) 29.2850i 1.05604i −0.849231 0.528021i \(-0.822934\pi\)
0.849231 0.528021i \(-0.177066\pi\)
\(770\) 1.74107 2.22140i 0.0627438 0.0800536i
\(771\) 12.7973 0.460885
\(772\) −1.15850 9.83587i −0.0416952 0.354001i
\(773\) −14.5234 8.38511i −0.522372 0.301591i 0.215533 0.976497i \(-0.430851\pi\)
−0.737904 + 0.674905i \(0.764185\pi\)
\(774\) 1.13519 + 19.3426i 0.0408035 + 0.695255i
\(775\) 8.65992 + 6.47260i 0.311074 + 0.232503i
\(776\) 16.8079 2.98675i 0.603368 0.107218i
\(777\) 11.6574 27.3841i 0.418209 0.982400i
\(778\) 3.67963 2.42247i 0.131921 0.0868499i
\(779\) −1.68343 2.91578i −0.0603151 0.104469i
\(780\) 5.66908 + 5.04566i 0.202986 + 0.180664i
\(781\) 1.03276 + 0.596262i 0.0369549 + 0.0213359i
\(782\) 13.1450 26.2028i 0.470064 0.937010i
\(783\) 33.1322i 1.18405i
\(784\) 24.8777 12.8491i 0.888489 0.458898i
\(785\) −39.6154 + 8.14083i −1.41394 + 0.290559i
\(786\) −8.12837 4.07771i −0.289929 0.145447i
\(787\) 0.115323 0.199746i 0.00411083 0.00712017i −0.863963 0.503556i \(-0.832025\pi\)
0.868074 + 0.496436i \(0.165358\pi\)
\(788\) −7.85162 10.5270i −0.279702 0.375010i
\(789\) −11.4244 19.7877i −0.406720 0.704460i
\(790\) −23.1350 23.1583i −0.823107 0.823935i
\(791\) 16.4211 + 6.99047i 0.583866 + 0.248552i
\(792\) 1.21412 0.215749i 0.0431419 0.00766631i
\(793\) 8.93450 5.15834i 0.317273 0.183178i
\(794\) 2.02417 + 34.4899i 0.0718349 + 1.22400i
\(795\) 20.1398 + 6.69479i 0.714287 + 0.237440i
\(796\) −54.8941 + 6.46558i −1.94567 + 0.229167i
\(797\) 25.6496i 0.908554i 0.890860 + 0.454277i \(0.150102\pi\)
−0.890860 + 0.454277i \(0.849898\pi\)
\(798\) 2.37683 2.01564i 0.0841387 0.0713529i
\(799\) 61.4478i 2.17387i
\(800\) −21.6611 + 18.1878i −0.765836 + 0.643036i
\(801\) −8.32200 4.80471i −0.294043 0.169766i
\(802\) 35.4805 2.08230i 1.25286 0.0735285i
\(803\) 2.00252 + 3.46846i 0.0706673 + 0.122399i
\(804\) −30.3395 13.0553i −1.06999 0.460423i
\(805\) 11.8735 13.4455i 0.418486 0.473893i
\(806\) 3.31694 2.18370i 0.116834 0.0769174i
\(807\) 12.8885 + 22.3235i 0.453696 + 0.785824i
\(808\) −1.45937 + 4.02625i −0.0513404 + 0.141643i
\(809\) 13.0378 22.5821i 0.458385 0.793946i −0.540491 0.841350i \(-0.681762\pi\)
0.998876 + 0.0474041i \(0.0150948\pi\)
\(810\) −10.5442 2.83101i −0.370487 0.0994715i
\(811\) 16.3763i 0.575051i 0.957773 + 0.287525i \(0.0928325\pi\)
−0.957773 + 0.287525i \(0.907167\pi\)
\(812\) 7.38040 + 30.3723i 0.259001 + 1.06586i
\(813\) 6.75171 0.236793
\(814\) 1.84152 3.67082i 0.0645451 0.128662i
\(815\) 5.21601 15.6913i 0.182709 0.549641i
\(816\) −34.7572 + 8.30278i −1.21675 + 0.290656i
\(817\) 3.37845 + 5.85165i 0.118197 + 0.204723i
\(818\) −13.1427 + 8.65242i −0.459522 + 0.302525i
\(819\) −0.536595 4.40805i −0.0187501 0.154030i
\(820\) −4.77841 + 23.1349i −0.166869 + 0.807905i
\(821\) −34.7768 + 20.0784i −1.21372 + 0.700740i −0.963567 0.267467i \(-0.913813\pi\)
−0.250150 + 0.968207i \(0.580480\pi\)
\(822\) 1.77893 + 30.3114i 0.0620475 + 1.05723i
\(823\) −27.4665 + 47.5734i −0.957422 + 1.65830i −0.228697 + 0.973498i \(0.573447\pi\)
−0.728725 + 0.684806i \(0.759887\pi\)
\(824\) −16.4952 + 13.8786i −0.574639 + 0.483484i
\(825\) −2.02549 + 0.869166i −0.0705186 + 0.0302605i
\(826\) −5.79617 31.8966i −0.201675 1.10983i
\(827\) 36.3142i 1.26277i 0.775471 + 0.631384i \(0.217513\pi\)
−0.775471 + 0.631384i \(0.782487\pi\)
\(828\) 7.78343 0.916754i 0.270493 0.0318594i
\(829\) 2.57148 4.45393i 0.0893111 0.154691i −0.817909 0.575348i \(-0.804867\pi\)
0.907220 + 0.420656i \(0.138200\pi\)
\(830\) 3.07833 + 11.5116i 0.106850 + 0.399575i
\(831\) 9.80025 + 16.9745i 0.339967 + 0.588840i
\(832\) 3.57930 + 9.75318i 0.124090 + 0.338131i
\(833\) 46.4589 11.4811i 1.60971 0.397796i
\(834\) 15.2046 10.0099i 0.526493 0.346615i
\(835\) 27.8005 + 31.2988i 0.962075 + 1.08314i
\(836\) 0.344710 0.257103i 0.0119220 0.00889208i
\(837\) −6.06429 + 10.5037i −0.209612 + 0.363059i
\(838\) −5.12424 2.57064i −0.177014 0.0888014i
\(839\) 34.7304 1.19903 0.599514 0.800365i \(-0.295361\pi\)
0.599514 + 0.800365i \(0.295361\pi\)
\(840\) −21.8598 0.523105i −0.754236 0.0180488i
\(841\) −5.89106 −0.203140
\(842\) 28.3433 + 14.2188i 0.976774 + 0.490012i
\(843\) 15.4920 26.8329i 0.533573 0.924175i
\(844\) 19.4562 + 26.0859i 0.669710 + 0.897912i
\(845\) −18.9140 + 16.7999i −0.650661 + 0.577936i
\(846\) −13.7211 + 9.03326i −0.471743 + 0.310570i
\(847\) −28.5911 + 3.48041i −0.982403 + 0.119588i
\(848\) 19.9752 + 21.0973i 0.685950 + 0.724485i
\(849\) 7.73576 + 13.3987i 0.265491 + 0.459843i
\(850\) −43.2317 + 21.6334i −1.48284 + 0.742018i
\(851\) 13.0505 22.6041i 0.447365 0.774859i
\(852\) −1.08071 9.17548i −0.0370246 0.314347i
\(853\) 1.93358i 0.0662045i −0.999452 0.0331023i \(-0.989461\pi\)
0.999452 0.0331023i \(-0.0105387\pi\)
\(854\) −10.0203 + 27.9843i −0.342886 + 0.957605i
\(855\) 1.80428 0.370772i 0.0617049 0.0126801i
\(856\) 4.20523 3.53816i 0.143732 0.120932i
\(857\) 6.25417 10.8325i 0.213638 0.370032i −0.739212 0.673473i \(-0.764802\pi\)
0.952850 + 0.303440i \(0.0981353\pi\)
\(858\) 0.0474325 + 0.808208i 0.00161932 + 0.0275918i
\(859\) 10.9495 6.32172i 0.373594 0.215694i −0.301434 0.953487i \(-0.597465\pi\)
0.675027 + 0.737793i \(0.264132\pi\)
\(860\) 9.58974 46.4292i 0.327007 1.58322i
\(861\) −14.5967 + 10.9756i −0.497453 + 0.374048i
\(862\) −19.2066 + 12.6446i −0.654181 + 0.430677i
\(863\) −22.6283 39.1934i −0.770276 1.33416i −0.937411 0.348224i \(-0.886785\pi\)
0.167135 0.985934i \(-0.446548\pi\)
\(864\) −23.1277 21.7231i −0.786821 0.739035i
\(865\) 6.85199 20.6128i 0.232975 0.700855i
\(866\) −1.60933 + 3.20799i −0.0546872 + 0.109012i
\(867\) −38.8624 −1.31983
\(868\) −3.21939 + 10.9796i −0.109273 + 0.372671i
\(869\) 3.49199i 0.118458i
\(870\) 6.32937 23.5741i 0.214586 0.799236i
\(871\) −8.20612 + 14.2134i −0.278054 + 0.481603i
\(872\) −4.08171 1.47947i −0.138224 0.0501012i
\(873\) 3.90021 + 6.75536i 0.132002 + 0.228634i
\(874\) 2.28277 1.50285i 0.0772159 0.0508348i
\(875\) −28.9576 + 6.03783i −0.978947 + 0.204116i
\(876\) 12.2644 28.5017i 0.414377 0.962982i
\(877\) 21.2278 + 36.7676i 0.716810 + 1.24155i 0.962257 + 0.272142i \(0.0877320\pi\)
−0.245447 + 0.969410i \(0.578935\pi\)
\(878\) 32.1572 1.88726i 1.08525 0.0636919i
\(879\) 6.71276 + 3.87561i 0.226416 + 0.130721i
\(880\) −3.00601 0.260484i −0.101332 0.00878092i
\(881\) 12.5917i 0.424225i 0.977245 + 0.212113i \(0.0680344\pi\)
−0.977245 + 0.212113i \(0.931966\pi\)
\(882\) 9.39349 + 8.68637i 0.316295 + 0.292485i
\(883\) 9.44218i 0.317755i 0.987298 + 0.158877i \(0.0507874\pi\)
−0.987298 + 0.158877i \(0.949213\pi\)
\(884\) 2.07709 + 17.6350i 0.0698602 + 0.593128i
\(885\) −7.98609 + 24.0245i −0.268450 + 0.807573i
\(886\) 0.157762 + 2.68812i 0.00530011 + 0.0903092i
\(887\) −6.38100 + 3.68407i −0.214253 + 0.123699i −0.603286 0.797525i \(-0.706142\pi\)
0.389033 + 0.921224i \(0.372809\pi\)
\(888\) −31.3263 + 5.56668i −1.05124 + 0.186806i
\(889\) 4.65609 10.9375i 0.156160 0.366831i
\(890\) 16.6174 + 16.6342i 0.557018 + 0.557579i
\(891\) −0.582330 1.00863i −0.0195088 0.0337902i
\(892\) −2.86079 + 2.13373i −0.0957864 + 0.0714425i
\(893\) −2.86440 + 4.96128i −0.0958535 + 0.166023i
\(894\) −24.0168 12.0484i −0.803243 0.402958i
\(895\) 1.07524 + 5.23241i 0.0359414 + 0.174900i
\(896\) −26.0402 14.7618i −0.869941 0.493156i
\(897\) 5.14540i 0.171800i
\(898\) 14.5156 28.9349i 0.484391 0.965570i
\(899\) −11.0612 6.38622i −0.368913 0.212992i
\(900\) −11.1861 6.47329i −0.372868 0.215776i
\(901\) 24.8285 + 43.0043i 0.827158 + 1.43268i
\(902\) −2.10485 + 1.38572i −0.0700839 + 0.0461395i
\(903\) 29.2939 22.0269i 0.974839 0.733008i
\(904\) −3.33810 18.7851i −0.111023 0.624782i
\(905\) −16.5034 + 14.6588i −0.548590 + 0.487274i
\(906\) 0.822688 + 14.0179i 0.0273320 + 0.465712i
\(907\) −29.0520 16.7732i −0.964657 0.556945i −0.0670537 0.997749i \(-0.521360\pi\)
−0.897603 + 0.440804i \(0.854693\pi\)
\(908\) 42.0982 4.95845i 1.39708 0.164552i
\(909\) −1.95686 −0.0649048
\(910\) −1.52874 + 10.7572i −0.0506774 + 0.356599i
\(911\) 49.7262i 1.64750i −0.566951 0.823751i \(-0.691877\pi\)
0.566951 0.823751i \(-0.308123\pi\)
\(912\) −3.19333 0.949848i −0.105742 0.0314526i
\(913\) −0.635586 + 1.10087i −0.0210348 + 0.0364334i
\(914\) −3.06550 52.2333i −0.101398 1.72772i
\(915\) 17.3550 15.4152i 0.573739 0.509611i
\(916\) 6.44670 14.9817i 0.213005 0.495008i
\(917\) −1.57324 12.9240i −0.0519530 0.426787i
\(918\) −29.8208 45.2965i −0.984232 1.49501i
\(919\) −15.1509 + 8.74736i −0.499781 + 0.288549i −0.728623 0.684915i \(-0.759839\pi\)
0.228842 + 0.973464i \(0.426506\pi\)
\(920\) −18.9748 2.77196i −0.625582 0.0913889i
\(921\) 5.77489 10.0024i 0.190289 0.329590i
\(922\) 4.46866 8.90768i 0.147167 0.293359i
\(923\) −4.59083 −0.151109
\(924\) −1.61032 1.68758i −0.0529755 0.0555171i
\(925\) −39.5541 + 16.9732i −1.30053 + 0.558076i
\(926\) −23.3478 + 46.5407i −0.767256 + 1.52942i
\(927\) −8.53051 4.92509i −0.280179 0.161761i
\(928\) 22.8763 24.3555i 0.750951 0.799507i
\(929\) −14.5419 + 8.39576i −0.477104 + 0.275456i −0.719209 0.694794i \(-0.755496\pi\)
0.242105 + 0.970250i \(0.422162\pi\)
\(930\) 6.32139 6.31503i 0.207286 0.207078i
\(931\) 4.28628 + 1.23871i 0.140477 + 0.0405971i
\(932\) −49.7897 21.4248i −1.63092 0.701793i
\(933\) 14.8168 + 25.6634i 0.485079 + 0.840182i
\(934\) 38.5461 2.26222i 1.26127 0.0740220i
\(935\) −4.89371 1.62674i −0.160041 0.0532002i
\(936\) −3.63250 + 3.05627i −0.118732 + 0.0998975i
\(937\) 43.8764 1.43338 0.716690 0.697392i \(-0.245656\pi\)
0.716690 + 0.697392i \(0.245656\pi\)
\(938\) −8.45436 46.5248i −0.276045 1.51909i
\(939\) −26.7283 −0.872244
\(940\) 38.1561 12.6410i 1.24451 0.412305i
\(941\) −1.66745 + 2.88811i −0.0543573 + 0.0941495i −0.891924 0.452186i \(-0.850644\pi\)
0.837566 + 0.546336i \(0.183978\pi\)
\(942\) 1.95828 + 33.3674i 0.0638043 + 1.08717i
\(943\) −13.8704 + 8.00807i −0.451682 + 0.260779i
\(944\) −25.1666 + 23.8280i −0.819103 + 0.775536i
\(945\) −10.5585 31.4593i −0.343467 1.02337i
\(946\) 4.22421 2.78099i 0.137341 0.0904178i
\(947\) 13.9434 8.05021i 0.453099 0.261597i −0.256039 0.966666i \(-0.582418\pi\)
0.709138 + 0.705070i \(0.249084\pi\)
\(948\) −21.6860 + 16.1746i −0.704329 + 0.525325i
\(949\) −13.3524 7.70903i −0.433438 0.250246i
\(950\) −4.49897 0.268582i −0.145966 0.00871395i
\(951\) 2.72791 0.0884587
\(952\) −37.4268 34.8806i −1.21301 1.13049i
\(953\) 3.07172i 0.0995026i −0.998762 0.0497513i \(-0.984157\pi\)
0.998762 0.0497513i \(-0.0158429\pi\)
\(954\) −5.95278 + 11.8661i −0.192728 + 0.384179i
\(955\) −9.08327 + 27.3251i −0.293928 + 0.884219i
\(956\) 29.9458 22.3351i 0.968515 0.722369i
\(957\) 2.25501 1.30193i 0.0728943 0.0420855i
\(958\) 13.2202 + 20.0809i 0.427124 + 0.648783i
\(959\) −34.7442 + 26.1251i −1.12195 + 0.843625i
\(960\) 12.3059 + 19.8745i 0.397170 + 0.641447i
\(961\) 13.1622 + 22.7976i 0.424588 + 0.735408i
\(962\) 0.926271 + 15.7828i 0.0298642 + 0.508858i
\(963\) 2.17473 + 1.25558i 0.0700798 + 0.0404606i
\(964\) 4.71869 + 40.0627i 0.151979 + 1.29033i
\(965\) −10.8462 + 2.22886i −0.349152 + 0.0717494i
\(966\) −9.58841 11.3066i −0.308502 0.363783i
\(967\) −19.1674 −0.616383 −0.308192 0.951324i \(-0.599724\pi\)
−0.308192 + 0.951324i \(0.599724\pi\)
\(968\) 19.8233 + 23.5608i 0.637146 + 0.757272i
\(969\) −4.93136 2.84712i −0.158418 0.0914627i
\(970\) −4.93059 18.4383i −0.158312 0.592018i
\(971\) −36.7871 + 21.2390i −1.18055 + 0.681593i −0.956143 0.292901i \(-0.905379\pi\)
−0.224412 + 0.974494i \(0.572046\pi\)
\(972\) 9.73599 22.6257i 0.312282 0.725721i
\(973\) 23.9794 + 10.2081i 0.768744 + 0.327255i
\(974\) −30.8205 46.8151i −0.987554 1.50005i
\(975\) 5.07981 6.79646i 0.162684 0.217661i
\(976\) 30.9069 7.38303i 0.989307 0.236325i
\(977\) 4.83162 + 2.78954i 0.154577 + 0.0892452i 0.575293 0.817947i \(-0.304888\pi\)
−0.420716 + 0.907192i \(0.638221\pi\)
\(978\) −12.2150 6.12784i −0.390594 0.195947i
\(979\) 2.50823i 0.0801634i
\(980\) −16.6867 26.4869i −0.533038 0.846092i
\(981\) 1.98381i 0.0633382i
\(982\) 27.1570 54.1340i 0.866616 1.72749i
\(983\) 2.32060 + 1.33980i 0.0740156 + 0.0427329i 0.536551 0.843868i \(-0.319727\pi\)
−0.462535 + 0.886601i \(0.653060\pi\)
\(984\) 18.3551 + 6.65306i 0.585140 + 0.212092i
\(985\) −10.9776 + 9.75064i −0.349776 + 0.310681i
\(986\) 47.7011 31.4038i 1.51911 1.00010i
\(987\) 28.5916 + 12.1715i 0.910081 + 0.387422i
\(988\) −0.654352 + 1.52067i −0.0208177 + 0.0483789i
\(989\) 27.8363 16.0713i 0.885143 0.511038i
\(990\) −0.356162 1.33190i −0.0113196 0.0423304i
\(991\) −0.289819 0.167327i −0.00920640 0.00531532i 0.495390 0.868671i \(-0.335025\pi\)
−0.504596 + 0.863356i \(0.668359\pi\)
\(992\) 11.7102 3.53411i 0.371798 0.112208i
\(993\) −17.3020 −0.549063
\(994\) 10.0879 8.55498i 0.319970 0.271347i
\(995\) 12.4393 + 60.5328i 0.394352 + 1.91902i
\(996\) 9.78060 1.15199i 0.309910 0.0365021i
\(997\) −26.3710 15.2253i −0.835179 0.482191i 0.0204437 0.999791i \(-0.493492\pi\)
−0.855623 + 0.517600i \(0.826825\pi\)
\(998\) 1.02742 0.0602975i 0.0325223 0.00190868i
\(999\) −24.1427 41.8164i −0.763842 1.32301i
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.ba.b.59.14 yes 80
4.3 odd 2 1120.2.bq.b.1039.16 80
5.4 even 2 inner 280.2.ba.b.59.27 yes 80
7.5 odd 6 inner 280.2.ba.b.19.40 yes 80
8.3 odd 2 inner 280.2.ba.b.59.1 yes 80
8.5 even 2 1120.2.bq.b.1039.15 80
20.19 odd 2 1120.2.bq.b.1039.26 80
28.19 even 6 1120.2.bq.b.719.25 80
35.19 odd 6 inner 280.2.ba.b.19.1 80
40.19 odd 2 inner 280.2.ba.b.59.40 yes 80
40.29 even 2 1120.2.bq.b.1039.25 80
56.5 odd 6 1120.2.bq.b.719.26 80
56.19 even 6 inner 280.2.ba.b.19.27 yes 80
140.19 even 6 1120.2.bq.b.719.15 80
280.19 even 6 inner 280.2.ba.b.19.14 yes 80
280.229 odd 6 1120.2.bq.b.719.16 80
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
280.2.ba.b.19.1 80 35.19 odd 6 inner
280.2.ba.b.19.14 yes 80 280.19 even 6 inner
280.2.ba.b.19.27 yes 80 56.19 even 6 inner
280.2.ba.b.19.40 yes 80 7.5 odd 6 inner
280.2.ba.b.59.1 yes 80 8.3 odd 2 inner
280.2.ba.b.59.14 yes 80 1.1 even 1 trivial
280.2.ba.b.59.27 yes 80 5.4 even 2 inner
280.2.ba.b.59.40 yes 80 40.19 odd 2 inner
1120.2.bq.b.719.15 80 140.19 even 6
1120.2.bq.b.719.16 80 280.229 odd 6
1120.2.bq.b.719.25 80 28.19 even 6
1120.2.bq.b.719.26 80 56.5 odd 6
1120.2.bq.b.1039.15 80 8.5 even 2
1120.2.bq.b.1039.16 80 4.3 odd 2
1120.2.bq.b.1039.25 80 40.29 even 2
1120.2.bq.b.1039.26 80 20.19 odd 2