Properties

Label 350.2.h.d.71.4
Level $350$
Weight $2$
Character 350.71
Analytic conductor $2.795$
Analytic rank $0$
Dimension $20$
CM no
Inner twists $2$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [350,2,Mod(71,350)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(350, base_ring=CyclotomicField(10))
 
chi = DirichletCharacter(H, H._module([6, 0]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("350.71");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 350 = 2 \cdot 5^{2} \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 350.h (of order \(5\), 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: \(2.79476407074\)
Analytic rank: \(0\)
Dimension: \(20\)
Relative dimension: \(5\) over \(\Q(\zeta_{5})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{20} - \cdots)\)
comment: defining polynomial
 
gp: f.mod \\ as an extension of the character field
 
Defining polynomial: \( x^{20} - 3 x^{19} + 15 x^{18} - 30 x^{17} + 145 x^{16} - 194 x^{15} + 1187 x^{14} - 1490 x^{13} + 10170 x^{12} - 13920 x^{11} + 42087 x^{10} - 591 x^{9} + 65635 x^{8} + 120715 x^{7} + \cdots + 400 \) Copy content Toggle raw display
Coefficient ring: \(\Z[a_1, \ldots, a_{5}]\)
Coefficient ring index: \( 5^{2} \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{5}]$

Embedding invariants

Embedding label 71.4
Root \(1.88692 + 1.37093i\) of defining polynomial
Character \(\chi\) \(=\) 350.71
Dual form 350.2.h.d.281.4

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.309017 + 0.951057i) q^{2} +(1.88692 + 1.37093i) q^{3} +(-0.809017 - 0.587785i) q^{4} +(1.06221 - 1.96767i) q^{5} +(-1.88692 + 1.37093i) q^{6} +1.00000 q^{7} +(0.809017 - 0.587785i) q^{8} +(0.753978 + 2.32051i) q^{9} +O(q^{10})\) \(q+(-0.309017 + 0.951057i) q^{2} +(1.88692 + 1.37093i) q^{3} +(-0.809017 - 0.587785i) q^{4} +(1.06221 - 1.96767i) q^{5} +(-1.88692 + 1.37093i) q^{6} +1.00000 q^{7} +(0.809017 - 0.587785i) q^{8} +(0.753978 + 2.32051i) q^{9} +(1.54312 + 1.61826i) q^{10} +(-0.266278 + 0.819519i) q^{11} +(-0.720740 - 2.21821i) q^{12} +(1.36720 + 4.20782i) q^{13} +(-0.309017 + 0.951057i) q^{14} +(4.70184 - 2.25662i) q^{15} +(0.309017 + 0.951057i) q^{16} +(3.22852 - 2.34566i) q^{17} -2.43992 q^{18} +(-1.11960 + 0.813435i) q^{19} +(-2.01591 + 0.967523i) q^{20} +(1.88692 + 1.37093i) q^{21} +(-0.697124 - 0.506490i) q^{22} +(-0.705847 + 2.17238i) q^{23} +2.33236 q^{24} +(-2.74342 - 4.18015i) q^{25} -4.42436 q^{26} +(0.403669 - 1.24237i) q^{27} +(-0.809017 - 0.587785i) q^{28} +(-0.564037 - 0.409797i) q^{29} +(0.693221 + 5.16905i) q^{30} +(-6.02141 + 4.37481i) q^{31} -1.00000 q^{32} +(-1.62595 + 1.18132i) q^{33} +(1.23318 + 3.79535i) q^{34} +(1.06221 - 1.96767i) q^{35} +(0.753978 - 2.32051i) q^{36} +(-2.65369 - 8.16721i) q^{37} +(-0.427648 - 1.31617i) q^{38} +(-3.18881 + 9.81416i) q^{39} +(-0.297218 - 2.21623i) q^{40} +(-0.109311 - 0.336424i) q^{41} +(-1.88692 + 1.37093i) q^{42} -6.63436 q^{43} +(0.697124 - 0.506490i) q^{44} +(5.36686 + 0.981290i) q^{45} +(-1.84793 - 1.34260i) q^{46} +(-4.27541 - 3.10627i) q^{47} +(-0.720740 + 2.21821i) q^{48} +1.00000 q^{49} +(4.82332 - 1.31741i) q^{50} +9.30770 q^{51} +(1.36720 - 4.20782i) q^{52} +(-0.878059 - 0.637947i) q^{53} +(1.05682 + 0.767824i) q^{54} +(1.32970 + 1.39445i) q^{55} +(0.809017 - 0.587785i) q^{56} -3.22776 q^{57} +(0.564037 - 0.409797i) q^{58} +(3.30840 + 10.1822i) q^{59} +(-5.13027 - 0.938032i) q^{60} +(3.54391 - 10.9070i) q^{61} +(-2.29998 - 7.07860i) q^{62} +(0.753978 + 2.32051i) q^{63} +(0.309017 - 0.951057i) q^{64} +(9.73183 + 1.77939i) q^{65} +(-0.621057 - 1.91142i) q^{66} +(-0.460717 + 0.334731i) q^{67} -3.99067 q^{68} +(-4.31005 + 3.13144i) q^{69} +(1.54312 + 1.61826i) q^{70} +(5.14835 + 3.74049i) q^{71} +(1.97394 + 1.43415i) q^{72} +(-3.28881 + 10.1219i) q^{73} +8.58751 q^{74} +(0.554080 - 11.6487i) q^{75} +1.38390 q^{76} +(-0.266278 + 0.819519i) q^{77} +(-8.34842 - 6.06548i) q^{78} +(-10.2363 - 7.43709i) q^{79} +(2.19960 + 0.402181i) q^{80} +(8.38671 - 6.09330i) q^{81} +0.353737 q^{82} +(11.0446 - 8.02434i) q^{83} +(-0.720740 - 2.21821i) q^{84} +(-1.18610 - 8.84423i) q^{85} +(2.05013 - 6.30965i) q^{86} +(-0.502492 - 1.54651i) q^{87} +(0.266278 + 0.819519i) q^{88} +(3.71234 - 11.4254i) q^{89} +(-2.59171 + 4.80095i) q^{90} +(1.36720 + 4.20782i) q^{91} +(1.84793 - 1.34260i) q^{92} -17.3595 q^{93} +(4.27541 - 3.10627i) q^{94} +(0.411320 + 3.06703i) q^{95} +(-1.88692 - 1.37093i) q^{96} +(-11.2145 - 8.14780i) q^{97} +(-0.309017 + 0.951057i) q^{98} -2.10247 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 20 q + 5 q^{2} + 3 q^{3} - 5 q^{4} - 5 q^{5} - 3 q^{6} + 20 q^{7} + 5 q^{8} - 6 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 20 q + 5 q^{2} + 3 q^{3} - 5 q^{4} - 5 q^{5} - 3 q^{6} + 20 q^{7} + 5 q^{8} - 6 q^{9} - 9 q^{11} - 2 q^{12} + 5 q^{13} + 5 q^{14} - 5 q^{16} - 12 q^{17} - 34 q^{18} + 2 q^{19} + 5 q^{20} + 3 q^{21} - 6 q^{22} - 5 q^{23} + 2 q^{24} - 35 q^{25} + 20 q^{26} - 6 q^{27} - 5 q^{28} - 22 q^{29} - 25 q^{30} - 7 q^{31} - 20 q^{32} + 25 q^{33} - 18 q^{34} - 5 q^{35} - 6 q^{36} - 3 q^{37} + 8 q^{38} - 22 q^{39} + 19 q^{41} - 3 q^{42} + 2 q^{43} + 6 q^{44} + 45 q^{45} - 10 q^{46} - 14 q^{47} - 2 q^{48} + 20 q^{49} + 10 q^{50} + 38 q^{51} + 5 q^{52} - q^{53} - 19 q^{54} - 20 q^{55} + 5 q^{56} + 116 q^{57} + 22 q^{58} + 17 q^{59} - 5 q^{60} - 38 q^{61} + 7 q^{62} - 6 q^{63} - 5 q^{64} + 15 q^{65} - 16 q^{67} - 12 q^{68} + 35 q^{69} + q^{71} + 11 q^{72} + 19 q^{73} + 18 q^{74} + 35 q^{75} + 12 q^{76} - 9 q^{77} - 18 q^{78} - 64 q^{79} - 40 q^{81} + 26 q^{82} + 57 q^{83} - 2 q^{84} - 40 q^{85} - 2 q^{86} - 78 q^{87} + 9 q^{88} - 6 q^{89} + 10 q^{90} + 5 q^{91} + 10 q^{92} - 22 q^{93} + 14 q^{94} + 60 q^{95} - 3 q^{96} - 18 q^{97} + 5 q^{98} + 112 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/350\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(127\)
\(\chi(n)\) \(1\) \(e\left(\frac{3}{5}\right)\)

Coefficient data

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



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.309017 + 0.951057i −0.218508 + 0.672499i
\(3\) 1.88692 + 1.37093i 1.08942 + 0.791506i 0.979300 0.202412i \(-0.0648781\pi\)
0.110115 + 0.993919i \(0.464878\pi\)
\(4\) −0.809017 0.587785i −0.404508 0.293893i
\(5\) 1.06221 1.96767i 0.475035 0.879967i
\(6\) −1.88692 + 1.37093i −0.770333 + 0.559680i
\(7\) 1.00000 0.377964
\(8\) 0.809017 0.587785i 0.286031 0.207813i
\(9\) 0.753978 + 2.32051i 0.251326 + 0.773502i
\(10\) 1.54312 + 1.61826i 0.487977 + 0.511740i
\(11\) −0.266278 + 0.819519i −0.0802858 + 0.247094i −0.983141 0.182851i \(-0.941467\pi\)
0.902855 + 0.429946i \(0.141467\pi\)
\(12\) −0.720740 2.21821i −0.208060 0.640342i
\(13\) 1.36720 + 4.20782i 0.379194 + 1.16704i 0.940606 + 0.339501i \(0.110258\pi\)
−0.561412 + 0.827537i \(0.689742\pi\)
\(14\) −0.309017 + 0.951057i −0.0825883 + 0.254181i
\(15\) 4.70184 2.25662i 1.21401 0.582656i
\(16\) 0.309017 + 0.951057i 0.0772542 + 0.237764i
\(17\) 3.22852 2.34566i 0.783031 0.568905i −0.122856 0.992424i \(-0.539205\pi\)
0.905887 + 0.423519i \(0.139205\pi\)
\(18\) −2.43992 −0.575096
\(19\) −1.11960 + 0.813435i −0.256853 + 0.186615i −0.708759 0.705451i \(-0.750744\pi\)
0.451905 + 0.892066i \(0.350744\pi\)
\(20\) −2.01591 + 0.967523i −0.450772 + 0.216345i
\(21\) 1.88692 + 1.37093i 0.411760 + 0.299161i
\(22\) −0.697124 0.506490i −0.148627 0.107984i
\(23\) −0.705847 + 2.17238i −0.147179 + 0.452972i −0.997285 0.0736410i \(-0.976538\pi\)
0.850105 + 0.526612i \(0.176538\pi\)
\(24\) 2.33236 0.476092
\(25\) −2.74342 4.18015i −0.548683 0.836030i
\(26\) −4.42436 −0.867688
\(27\) 0.403669 1.24237i 0.0776862 0.239093i
\(28\) −0.809017 0.587785i −0.152890 0.111081i
\(29\) −0.564037 0.409797i −0.104739 0.0760974i 0.534183 0.845369i \(-0.320619\pi\)
−0.638922 + 0.769272i \(0.720619\pi\)
\(30\) 0.693221 + 5.16905i 0.126564 + 0.943735i
\(31\) −6.02141 + 4.37481i −1.08148 + 0.785740i −0.977940 0.208886i \(-0.933016\pi\)
−0.103538 + 0.994626i \(0.533016\pi\)
\(32\) −1.00000 −0.176777
\(33\) −1.62595 + 1.18132i −0.283041 + 0.205641i
\(34\) 1.23318 + 3.79535i 0.211489 + 0.650898i
\(35\) 1.06221 1.96767i 0.179546 0.332596i
\(36\) 0.753978 2.32051i 0.125663 0.386751i
\(37\) −2.65369 8.16721i −0.436263 1.34268i −0.891787 0.452456i \(-0.850548\pi\)
0.455523 0.890224i \(-0.349452\pi\)
\(38\) −0.427648 1.31617i −0.0693737 0.213510i
\(39\) −3.18881 + 9.81416i −0.510619 + 1.57152i
\(40\) −0.297218 2.21623i −0.0469943 0.350416i
\(41\) −0.109311 0.336424i −0.0170715 0.0525405i 0.942158 0.335169i \(-0.108794\pi\)
−0.959229 + 0.282629i \(0.908794\pi\)
\(42\) −1.88692 + 1.37093i −0.291158 + 0.211539i
\(43\) −6.63436 −1.01173 −0.505865 0.862612i \(-0.668827\pi\)
−0.505865 + 0.862612i \(0.668827\pi\)
\(44\) 0.697124 0.506490i 0.105095 0.0763563i
\(45\) 5.36686 + 0.981290i 0.800045 + 0.146282i
\(46\) −1.84793 1.34260i −0.272463 0.197956i
\(47\) −4.27541 3.10627i −0.623632 0.453096i 0.230556 0.973059i \(-0.425946\pi\)
−0.854188 + 0.519964i \(0.825946\pi\)
\(48\) −0.720740 + 2.21821i −0.104030 + 0.320171i
\(49\) 1.00000 0.142857
\(50\) 4.82332 1.31741i 0.682121 0.186309i
\(51\) 9.30770 1.30334
\(52\) 1.36720 4.20782i 0.189597 0.583519i
\(53\) −0.878059 0.637947i −0.120611 0.0876288i 0.525845 0.850581i \(-0.323749\pi\)
−0.646455 + 0.762952i \(0.723749\pi\)
\(54\) 1.05682 + 0.767824i 0.143815 + 0.104488i
\(55\) 1.32970 + 1.39445i 0.179296 + 0.188027i
\(56\) 0.809017 0.587785i 0.108109 0.0785461i
\(57\) −3.22776 −0.427527
\(58\) 0.564037 0.409797i 0.0740617 0.0538090i
\(59\) 3.30840 + 10.1822i 0.430717 + 1.32561i 0.897412 + 0.441193i \(0.145445\pi\)
−0.466695 + 0.884418i \(0.654555\pi\)
\(60\) −5.13027 0.938032i −0.662316 0.121099i
\(61\) 3.54391 10.9070i 0.453751 1.39650i −0.418844 0.908058i \(-0.637565\pi\)
0.872595 0.488444i \(-0.162435\pi\)
\(62\) −2.29998 7.07860i −0.292097 0.898983i
\(63\) 0.753978 + 2.32051i 0.0949923 + 0.292356i
\(64\) 0.309017 0.951057i 0.0386271 0.118882i
\(65\) 9.73183 + 1.77939i 1.20709 + 0.220706i
\(66\) −0.621057 1.91142i −0.0764468 0.235279i
\(67\) −0.460717 + 0.334731i −0.0562856 + 0.0408939i −0.615572 0.788080i \(-0.711075\pi\)
0.559287 + 0.828974i \(0.311075\pi\)
\(68\) −3.99067 −0.483940
\(69\) −4.31005 + 3.13144i −0.518869 + 0.376981i
\(70\) 1.54312 + 1.61826i 0.184438 + 0.193420i
\(71\) 5.14835 + 3.74049i 0.610996 + 0.443915i 0.849765 0.527162i \(-0.176744\pi\)
−0.238769 + 0.971076i \(0.576744\pi\)
\(72\) 1.97394 + 1.43415i 0.232631 + 0.169016i
\(73\) −3.28881 + 10.1219i −0.384926 + 1.18468i 0.551608 + 0.834104i \(0.314015\pi\)
−0.936534 + 0.350577i \(0.885985\pi\)
\(74\) 8.58751 0.998277
\(75\) 0.554080 11.6487i 0.0639796 1.34507i
\(76\) 1.38390 0.158744
\(77\) −0.266278 + 0.819519i −0.0303452 + 0.0933928i
\(78\) −8.34842 6.06548i −0.945273 0.686781i
\(79\) −10.2363 7.43709i −1.15167 0.836738i −0.162969 0.986631i \(-0.552107\pi\)
−0.988702 + 0.149893i \(0.952107\pi\)
\(80\) 2.19960 + 0.402181i 0.245923 + 0.0449651i
\(81\) 8.38671 6.09330i 0.931857 0.677033i
\(82\) 0.353737 0.0390637
\(83\) 11.0446 8.02434i 1.21230 0.880786i 0.216860 0.976203i \(-0.430418\pi\)
0.995437 + 0.0954169i \(0.0304184\pi\)
\(84\) −0.720740 2.21821i −0.0786392 0.242027i
\(85\) −1.18610 8.84423i −0.128651 0.959291i
\(86\) 2.05013 6.30965i 0.221071 0.680388i
\(87\) −0.502492 1.54651i −0.0538728 0.165803i
\(88\) 0.266278 + 0.819519i 0.0283853 + 0.0873610i
\(89\) 3.71234 11.4254i 0.393507 1.21109i −0.536611 0.843830i \(-0.680296\pi\)
0.930118 0.367260i \(-0.119704\pi\)
\(90\) −2.59171 + 4.80095i −0.273191 + 0.506065i
\(91\) 1.36720 + 4.20782i 0.143322 + 0.441099i
\(92\) 1.84793 1.34260i 0.192660 0.139976i
\(93\) −17.3595 −1.80010
\(94\) 4.27541 3.10627i 0.440975 0.320387i
\(95\) 0.411320 + 3.06703i 0.0422005 + 0.314671i
\(96\) −1.88692 1.37093i −0.192583 0.139920i
\(97\) −11.2145 8.14780i −1.13866 0.827284i −0.151726 0.988423i \(-0.548483\pi\)
−0.986932 + 0.161139i \(0.948483\pi\)
\(98\) −0.309017 + 0.951057i −0.0312154 + 0.0960712i
\(99\) −2.10247 −0.211306
\(100\) −0.237562 + 4.99435i −0.0237562 + 0.499435i
\(101\) −19.4355 −1.93390 −0.966952 0.254958i \(-0.917939\pi\)
−0.966952 + 0.254958i \(0.917939\pi\)
\(102\) −2.87624 + 8.85215i −0.284790 + 0.876493i
\(103\) −7.08993 5.15114i −0.698592 0.507557i 0.180881 0.983505i \(-0.442105\pi\)
−0.879473 + 0.475948i \(0.842105\pi\)
\(104\) 3.57938 + 2.60057i 0.350987 + 0.255007i
\(105\) 4.70184 2.25662i 0.458853 0.220223i
\(106\) 0.878059 0.637947i 0.0852846 0.0619629i
\(107\) 5.68246 0.549344 0.274672 0.961538i \(-0.411431\pi\)
0.274672 + 0.961538i \(0.411431\pi\)
\(108\) −1.05682 + 0.767824i −0.101693 + 0.0738839i
\(109\) 5.33867 + 16.4307i 0.511352 + 1.57378i 0.789823 + 0.613335i \(0.210172\pi\)
−0.278471 + 0.960445i \(0.589828\pi\)
\(110\) −1.73710 + 0.833708i −0.165626 + 0.0794909i
\(111\) 6.18936 19.0489i 0.587468 1.80804i
\(112\) 0.309017 + 0.951057i 0.0291994 + 0.0898664i
\(113\) −0.443906 1.36620i −0.0417592 0.128521i 0.928003 0.372572i \(-0.121524\pi\)
−0.969763 + 0.244050i \(0.921524\pi\)
\(114\) 0.997432 3.06978i 0.0934180 0.287511i
\(115\) 3.52475 + 3.69639i 0.328685 + 0.344690i
\(116\) 0.215443 + 0.663066i 0.0200034 + 0.0615641i
\(117\) −8.73342 + 6.34520i −0.807405 + 0.586614i
\(118\) −10.7062 −0.985587
\(119\) 3.22852 2.34566i 0.295958 0.215026i
\(120\) 2.47746 4.58931i 0.226160 0.418945i
\(121\) 8.29848 + 6.02920i 0.754407 + 0.548109i
\(122\) 9.27808 + 6.74092i 0.839998 + 0.610294i
\(123\) 0.254952 0.784663i 0.0229883 0.0707506i
\(124\) 7.44288 0.668390
\(125\) −11.1392 + 0.957922i −0.996323 + 0.0856792i
\(126\) −2.43992 −0.217366
\(127\) −2.37638 + 7.31373i −0.210869 + 0.648989i 0.788552 + 0.614968i \(0.210831\pi\)
−0.999421 + 0.0340205i \(0.989169\pi\)
\(128\) 0.809017 + 0.587785i 0.0715077 + 0.0519534i
\(129\) −12.5185 9.09524i −1.10220 0.800792i
\(130\) −4.69960 + 8.70566i −0.412182 + 0.763537i
\(131\) 7.63850 5.54969i 0.667379 0.484879i −0.201768 0.979433i \(-0.564669\pi\)
0.869147 + 0.494554i \(0.164669\pi\)
\(132\) 2.00978 0.174929
\(133\) −1.11960 + 0.813435i −0.0970814 + 0.0705338i
\(134\) −0.175978 0.541606i −0.0152022 0.0467876i
\(135\) −2.01578 2.11394i −0.173491 0.181939i
\(136\) 1.23318 3.79535i 0.105745 0.325449i
\(137\) 2.82009 + 8.67934i 0.240937 + 0.741526i 0.996278 + 0.0861953i \(0.0274709\pi\)
−0.755342 + 0.655331i \(0.772529\pi\)
\(138\) −1.64629 5.06677i −0.140142 0.431312i
\(139\) −3.32056 + 10.2196i −0.281647 + 0.866819i 0.705737 + 0.708474i \(0.250616\pi\)
−0.987384 + 0.158345i \(0.949384\pi\)
\(140\) −2.01591 + 0.967523i −0.170376 + 0.0817706i
\(141\) −3.80889 11.7226i −0.320767 0.987218i
\(142\) −5.14835 + 3.74049i −0.432040 + 0.313895i
\(143\) −3.81244 −0.318812
\(144\) −1.97394 + 1.43415i −0.164495 + 0.119513i
\(145\) −1.40547 + 0.674546i −0.116718 + 0.0560180i
\(146\) −8.61022 6.25569i −0.712587 0.517724i
\(147\) 1.88692 + 1.37093i 0.155631 + 0.113072i
\(148\) −2.65369 + 8.16721i −0.218132 + 0.671340i
\(149\) 13.6171 1.11555 0.557776 0.829991i \(-0.311655\pi\)
0.557776 + 0.829991i \(0.311655\pi\)
\(150\) 10.9073 + 4.12659i 0.890578 + 0.336935i
\(151\) −3.21189 −0.261380 −0.130690 0.991423i \(-0.541719\pi\)
−0.130690 + 0.991423i \(0.541719\pi\)
\(152\) −0.427648 + 1.31617i −0.0346869 + 0.106755i
\(153\) 7.87734 + 5.72322i 0.636845 + 0.462695i
\(154\) −0.697124 0.506490i −0.0561759 0.0408142i
\(155\) 2.21216 + 16.4951i 0.177685 + 1.32492i
\(156\) 8.34842 6.06548i 0.668409 0.485627i
\(157\) −10.2808 −0.820498 −0.410249 0.911974i \(-0.634558\pi\)
−0.410249 + 0.911974i \(0.634558\pi\)
\(158\) 10.2363 7.43709i 0.814355 0.591663i
\(159\) −0.782249 2.40751i −0.0620363 0.190928i
\(160\) −1.06221 + 1.96767i −0.0839751 + 0.155558i
\(161\) −0.705847 + 2.17238i −0.0556286 + 0.171207i
\(162\) 3.20344 + 9.85917i 0.251686 + 0.774609i
\(163\) 1.05979 + 3.26171i 0.0830095 + 0.255477i 0.983944 0.178479i \(-0.0571175\pi\)
−0.900934 + 0.433956i \(0.857117\pi\)
\(164\) −0.109311 + 0.336424i −0.00853573 + 0.0262703i
\(165\) 0.597344 + 4.45413i 0.0465031 + 0.346754i
\(166\) 4.21865 + 12.9837i 0.327430 + 1.00773i
\(167\) 16.8272 12.2257i 1.30213 0.946052i 0.302155 0.953259i \(-0.402294\pi\)
0.999974 + 0.00720650i \(0.00229392\pi\)
\(168\) 2.33236 0.179946
\(169\) −5.31925 + 3.86466i −0.409173 + 0.297282i
\(170\) 8.77789 + 1.60497i 0.673233 + 0.123096i
\(171\) −2.73173 1.98472i −0.208901 0.151775i
\(172\) 5.36731 + 3.89958i 0.409254 + 0.297340i
\(173\) 0.415359 1.27834i 0.0315792 0.0971907i −0.934025 0.357209i \(-0.883728\pi\)
0.965604 + 0.260018i \(0.0837285\pi\)
\(174\) 1.62610 0.123274
\(175\) −2.74342 4.18015i −0.207383 0.315990i
\(176\) −0.861693 −0.0649525
\(177\) −7.71640 + 23.7486i −0.580000 + 1.78506i
\(178\) 9.71902 + 7.06128i 0.728472 + 0.529266i
\(179\) 18.9058 + 13.7359i 1.41309 + 1.02667i 0.992865 + 0.119245i \(0.0380473\pi\)
0.420221 + 0.907422i \(0.361953\pi\)
\(180\) −3.76510 3.94844i −0.280634 0.294300i
\(181\) −15.1066 + 10.9756i −1.12287 + 0.815810i −0.984641 0.174591i \(-0.944140\pi\)
−0.138225 + 0.990401i \(0.544140\pi\)
\(182\) −4.42436 −0.327955
\(183\) 21.6399 15.7223i 1.59966 1.16222i
\(184\) 0.705847 + 2.17238i 0.0520358 + 0.160150i
\(185\) −18.8891 3.45373i −1.38875 0.253923i
\(186\) 5.36438 16.5099i 0.393335 1.21056i
\(187\) 1.06263 + 3.27043i 0.0777069 + 0.239157i
\(188\) 1.63306 + 5.02604i 0.119103 + 0.366562i
\(189\) 0.403669 1.24237i 0.0293626 0.0903688i
\(190\) −3.04403 0.556577i −0.220837 0.0403784i
\(191\) 7.81630 + 24.0561i 0.565568 + 1.74064i 0.666259 + 0.745721i \(0.267895\pi\)
−0.100691 + 0.994918i \(0.532105\pi\)
\(192\) 1.88692 1.37093i 0.136177 0.0989383i
\(193\) 21.0222 1.51321 0.756606 0.653871i \(-0.226856\pi\)
0.756606 + 0.653871i \(0.226856\pi\)
\(194\) 11.2145 8.14780i 0.805153 0.584978i
\(195\) 15.9238 + 16.6992i 1.14033 + 1.19586i
\(196\) −0.809017 0.587785i −0.0577869 0.0419847i
\(197\) −15.7201 11.4213i −1.12001 0.813735i −0.135800 0.990736i \(-0.543360\pi\)
−0.984211 + 0.177001i \(0.943360\pi\)
\(198\) 0.649697 1.99956i 0.0461720 0.142103i
\(199\) −9.01284 −0.638904 −0.319452 0.947603i \(-0.603499\pi\)
−0.319452 + 0.947603i \(0.603499\pi\)
\(200\) −4.67650 1.76927i −0.330679 0.125107i
\(201\) −1.32823 −0.0936861
\(202\) 6.00590 18.4843i 0.422574 1.30055i
\(203\) −0.564037 0.409797i −0.0395877 0.0287621i
\(204\) −7.53008 5.47093i −0.527211 0.383041i
\(205\) −0.778080 0.142266i −0.0543435 0.00993629i
\(206\) 7.08993 5.15114i 0.493979 0.358897i
\(207\) −5.57320 −0.387364
\(208\) −3.57938 + 2.60057i −0.248185 + 0.180317i
\(209\) −0.368501 1.13413i −0.0254898 0.0784495i
\(210\) 0.693221 + 5.16905i 0.0478368 + 0.356698i
\(211\) −5.95165 + 18.3173i −0.409728 + 1.26101i 0.507154 + 0.861856i \(0.330698\pi\)
−0.916882 + 0.399158i \(0.869302\pi\)
\(212\) 0.335389 + 1.03222i 0.0230346 + 0.0708932i
\(213\) 4.58658 + 14.1160i 0.314267 + 0.967215i
\(214\) −1.75598 + 5.40434i −0.120036 + 0.369433i
\(215\) −7.04709 + 13.0542i −0.480608 + 0.890290i
\(216\) −0.403669 1.24237i −0.0274662 0.0845323i
\(217\) −6.02141 + 4.37481i −0.408760 + 0.296982i
\(218\) −17.2763 −1.17010
\(219\) −20.0822 + 14.5905i −1.35703 + 0.985938i
\(220\) −0.256111 1.90971i −0.0172670 0.128752i
\(221\) 14.2841 + 10.3780i 0.960855 + 0.698102i
\(222\) 16.2040 + 11.7729i 1.08754 + 0.790143i
\(223\) −1.88817 + 5.81117i −0.126441 + 0.389145i −0.994161 0.107908i \(-0.965585\pi\)
0.867720 + 0.497053i \(0.165585\pi\)
\(224\) −1.00000 −0.0668153
\(225\) 7.63159 9.51785i 0.508773 0.634524i
\(226\) 1.43651 0.0955552
\(227\) 2.02463 6.23117i 0.134379 0.413577i −0.861114 0.508413i \(-0.830233\pi\)
0.995493 + 0.0948355i \(0.0302325\pi\)
\(228\) 2.61131 + 1.89723i 0.172938 + 0.125647i
\(229\) −18.4372 13.3954i −1.21837 0.885195i −0.222403 0.974955i \(-0.571390\pi\)
−0.995963 + 0.0897600i \(0.971390\pi\)
\(230\) −4.60469 + 2.20999i −0.303624 + 0.145722i
\(231\) −1.62595 + 1.18132i −0.106979 + 0.0777252i
\(232\) −0.697188 −0.0457727
\(233\) −6.66411 + 4.84176i −0.436580 + 0.317194i −0.784275 0.620414i \(-0.786965\pi\)
0.347694 + 0.937608i \(0.386965\pi\)
\(234\) −3.33587 10.2668i −0.218073 0.671158i
\(235\) −10.6535 + 5.11306i −0.694956 + 0.333540i
\(236\) 3.30840 10.1822i 0.215359 0.662806i
\(237\) −9.11934 28.0664i −0.592365 1.82311i
\(238\) 1.23318 + 3.79535i 0.0799355 + 0.246016i
\(239\) −0.326868 + 1.00600i −0.0211433 + 0.0650724i −0.961071 0.276300i \(-0.910892\pi\)
0.939928 + 0.341372i \(0.110892\pi\)
\(240\) 3.59912 + 3.77438i 0.232322 + 0.243635i
\(241\) −3.14926 9.69241i −0.202861 0.624343i −0.999794 0.0202756i \(-0.993546\pi\)
0.796933 0.604068i \(-0.206454\pi\)
\(242\) −8.29848 + 6.02920i −0.533447 + 0.387572i
\(243\) 20.2597 1.29966
\(244\) −9.27808 + 6.74092i −0.593968 + 0.431543i
\(245\) 1.06221 1.96767i 0.0678622 0.125710i
\(246\) 0.667474 + 0.484948i 0.0425566 + 0.0309192i
\(247\) −4.95350 3.59893i −0.315184 0.228994i
\(248\) −2.29998 + 7.07860i −0.146049 + 0.449491i
\(249\) 31.8410 2.01784
\(250\) 2.53117 10.8900i 0.160085 0.688747i
\(251\) −15.4513 −0.975277 −0.487638 0.873046i \(-0.662142\pi\)
−0.487638 + 0.873046i \(0.662142\pi\)
\(252\) 0.753978 2.32051i 0.0474962 0.146178i
\(253\) −1.59235 1.15691i −0.100110 0.0727343i
\(254\) −6.22143 4.52013i −0.390367 0.283618i
\(255\) 9.88674 18.3144i 0.619132 1.14689i
\(256\) −0.809017 + 0.587785i −0.0505636 + 0.0367366i
\(257\) −30.1014 −1.87767 −0.938836 0.344365i \(-0.888094\pi\)
−0.938836 + 0.344365i \(0.888094\pi\)
\(258\) 12.5185 9.09524i 0.779370 0.566245i
\(259\) −2.65369 8.16721i −0.164892 0.507485i
\(260\) −6.82732 7.15978i −0.423412 0.444031i
\(261\) 0.525665 1.61783i 0.0325378 0.100141i
\(262\) 2.91765 + 8.97959i 0.180253 + 0.554761i
\(263\) −6.93879 21.3554i −0.427864 1.31683i −0.900225 0.435426i \(-0.856598\pi\)
0.472360 0.881406i \(-0.343402\pi\)
\(264\) −0.621057 + 1.91142i −0.0382234 + 0.117640i
\(265\) −2.18795 + 1.05009i −0.134405 + 0.0645066i
\(266\) −0.427648 1.31617i −0.0262208 0.0806993i
\(267\) 22.6683 16.4695i 1.38728 1.00792i
\(268\) 0.569478 0.0347864
\(269\) 13.6544 9.92050i 0.832523 0.604864i −0.0877488 0.996143i \(-0.527967\pi\)
0.920272 + 0.391279i \(0.127967\pi\)
\(270\) 2.63339 1.26388i 0.160263 0.0769171i
\(271\) 13.0658 + 9.49283i 0.793688 + 0.576648i 0.909056 0.416675i \(-0.136805\pi\)
−0.115368 + 0.993323i \(0.536805\pi\)
\(272\) 3.22852 + 2.34566i 0.195758 + 0.142226i
\(273\) −3.18881 + 9.81416i −0.192996 + 0.593980i
\(274\) −9.12600 −0.551322
\(275\) 4.15622 1.13520i 0.250630 0.0684551i
\(276\) 5.32752 0.320679
\(277\) 4.39717 13.5331i 0.264200 0.813124i −0.727677 0.685920i \(-0.759400\pi\)
0.991877 0.127204i \(-0.0406002\pi\)
\(278\) −8.69335 6.31609i −0.521392 0.378814i
\(279\) −14.6918 10.6742i −0.879575 0.639048i
\(280\) −0.297218 2.21623i −0.0177622 0.132445i
\(281\) −7.64997 + 5.55803i −0.456359 + 0.331564i −0.792101 0.610390i \(-0.791013\pi\)
0.335743 + 0.941954i \(0.391013\pi\)
\(282\) 12.3258 0.733993
\(283\) 18.8982 13.7304i 1.12338 0.816185i 0.138664 0.990339i \(-0.455719\pi\)
0.984718 + 0.174154i \(0.0557191\pi\)
\(284\) −1.96649 6.05224i −0.116690 0.359135i
\(285\) −3.42856 + 6.35115i −0.203090 + 0.376209i
\(286\) 1.17811 3.62584i 0.0696630 0.214401i
\(287\) −0.109311 0.336424i −0.00645240 0.0198585i
\(288\) −0.753978 2.32051i −0.0444286 0.136737i
\(289\) −0.332055 + 1.02196i −0.0195327 + 0.0601154i
\(290\) −0.207217 1.54513i −0.0121682 0.0907330i
\(291\) −9.99080 30.7485i −0.585671 1.80251i
\(292\) 8.61022 6.25569i 0.503875 0.366086i
\(293\) 24.0320 1.40396 0.701981 0.712195i \(-0.252299\pi\)
0.701981 + 0.712195i \(0.252299\pi\)
\(294\) −1.88692 + 1.37093i −0.110048 + 0.0799542i
\(295\) 23.5494 + 4.30583i 1.37110 + 0.250695i
\(296\) −6.94744 5.04761i −0.403812 0.293386i
\(297\) 0.910654 + 0.661629i 0.0528415 + 0.0383916i
\(298\) −4.20790 + 12.9506i −0.243757 + 0.750208i
\(299\) −10.1060 −0.584444
\(300\) −7.29517 + 9.09828i −0.421187 + 0.525289i
\(301\) −6.63436 −0.382398
\(302\) 0.992530 3.05469i 0.0571137 0.175778i
\(303\) −36.6733 26.6447i −2.10682 1.53070i
\(304\) −1.11960 0.813435i −0.0642133 0.0466537i
\(305\) −17.6970 18.5588i −1.01333 1.06267i
\(306\) −7.87734 + 5.72322i −0.450318 + 0.327175i
\(307\) 26.7287 1.52549 0.762744 0.646700i \(-0.223852\pi\)
0.762744 + 0.646700i \(0.223852\pi\)
\(308\) 0.697124 0.506490i 0.0397223 0.0288600i
\(309\) −6.31631 19.4396i −0.359322 1.10588i
\(310\) −16.3714 2.99338i −0.929831 0.170013i
\(311\) −10.4684 + 32.2183i −0.593607 + 1.82693i −0.0320649 + 0.999486i \(0.510208\pi\)
−0.561542 + 0.827448i \(0.689792\pi\)
\(312\) 3.18881 + 9.81416i 0.180531 + 0.555617i
\(313\) 4.59529 + 14.1428i 0.259741 + 0.799401i 0.992858 + 0.119299i \(0.0380646\pi\)
−0.733117 + 0.680102i \(0.761935\pi\)
\(314\) 3.17694 9.77763i 0.179285 0.551784i
\(315\) 5.36686 + 0.981290i 0.302388 + 0.0552894i
\(316\) 3.90991 + 12.0335i 0.219950 + 0.676935i
\(317\) 9.06777 6.58812i 0.509297 0.370026i −0.303260 0.952908i \(-0.598075\pi\)
0.812557 + 0.582882i \(0.198075\pi\)
\(318\) 2.53141 0.141954
\(319\) 0.486027 0.353119i 0.0272123 0.0197709i
\(320\) −1.54312 1.61826i −0.0862630 0.0904637i
\(321\) 10.7224 + 7.79025i 0.598463 + 0.434809i
\(322\) −1.84793 1.34260i −0.102981 0.0748203i
\(323\) −1.70660 + 5.25238i −0.0949579 + 0.292251i
\(324\) −10.3665 −0.575919
\(325\) 13.8385 17.2589i 0.767622 0.957352i
\(326\) −3.42957 −0.189946
\(327\) −12.4517 + 38.3225i −0.688582 + 2.11924i
\(328\) −0.286179 0.207921i −0.0158016 0.0114805i
\(329\) −4.27541 3.10627i −0.235711 0.171254i
\(330\) −4.42072 0.808295i −0.243353 0.0444952i
\(331\) 1.08435 0.787823i 0.0596010 0.0433027i −0.557586 0.830119i \(-0.688272\pi\)
0.617187 + 0.786817i \(0.288272\pi\)
\(332\) −13.6518 −0.749241
\(333\) 16.9512 12.3158i 0.928921 0.674901i
\(334\) 6.42743 + 19.7816i 0.351693 + 1.08240i
\(335\) 0.169259 + 1.26209i 0.00924762 + 0.0689555i
\(336\) −0.720740 + 2.21821i −0.0393196 + 0.121013i
\(337\) 0.402868 + 1.23990i 0.0219456 + 0.0675417i 0.961430 0.275051i \(-0.0886948\pi\)
−0.939484 + 0.342593i \(0.888695\pi\)
\(338\) −2.03177 6.25315i −0.110514 0.340127i
\(339\) 1.03535 3.18648i 0.0562325 0.173066i
\(340\) −4.23893 + 7.85230i −0.229888 + 0.425851i
\(341\) −1.98187 6.09958i −0.107324 0.330311i
\(342\) 2.73173 1.98472i 0.147715 0.107321i
\(343\) 1.00000 0.0539949
\(344\) −5.36731 + 3.89958i −0.289386 + 0.210251i
\(345\) 1.58343 + 11.8070i 0.0852493 + 0.635667i
\(346\) 1.08742 + 0.790060i 0.0584603 + 0.0424739i
\(347\) 2.73310 + 1.98571i 0.146720 + 0.106599i 0.658724 0.752385i \(-0.271097\pi\)
−0.512004 + 0.858983i \(0.671097\pi\)
\(348\) −0.502492 + 1.54651i −0.0269364 + 0.0829017i
\(349\) −6.96709 −0.372940 −0.186470 0.982461i \(-0.559705\pi\)
−0.186470 + 0.982461i \(0.559705\pi\)
\(350\) 4.82332 1.31741i 0.257817 0.0704183i
\(351\) 5.77954 0.308489
\(352\) 0.266278 0.819519i 0.0141927 0.0436805i
\(353\) 12.6164 + 9.16636i 0.671504 + 0.487876i 0.870528 0.492118i \(-0.163777\pi\)
−0.199024 + 0.979995i \(0.563777\pi\)
\(354\) −20.2018 14.6775i −1.07371 0.780098i
\(355\) 12.8287 6.15703i 0.680875 0.326781i
\(356\) −9.71902 + 7.06128i −0.515107 + 0.374247i
\(357\) 9.30770 0.492616
\(358\) −18.9058 + 13.7359i −0.999202 + 0.725963i
\(359\) 3.74651 + 11.5306i 0.197733 + 0.608560i 0.999934 + 0.0115055i \(0.00366238\pi\)
−0.802201 + 0.597054i \(0.796338\pi\)
\(360\) 4.91867 2.36068i 0.259237 0.124419i
\(361\) −5.27950 + 16.2486i −0.277868 + 0.855191i
\(362\) −5.77022 17.7589i −0.303276 0.933387i
\(363\) 7.39298 + 22.7533i 0.388031 + 1.19424i
\(364\) 1.36720 4.20782i 0.0716609 0.220549i
\(365\) 16.4231 + 17.2229i 0.859626 + 0.901487i
\(366\) 8.26569 + 25.4392i 0.432055 + 1.32973i
\(367\) 12.5454 9.11477i 0.654865 0.475787i −0.210060 0.977688i \(-0.567366\pi\)
0.864925 + 0.501901i \(0.167366\pi\)
\(368\) −2.28417 −0.119071
\(369\) 0.698255 0.507312i 0.0363497 0.0264096i
\(370\) 9.12174 16.8973i 0.474217 0.878451i
\(371\) −0.878059 0.637947i −0.0455865 0.0331206i
\(372\) 14.0441 + 10.2037i 0.728154 + 0.529035i
\(373\) 8.88591 27.3480i 0.460095 1.41603i −0.404953 0.914338i \(-0.632712\pi\)
0.865048 0.501689i \(-0.167288\pi\)
\(374\) −3.43873 −0.177813
\(375\) −22.3321 13.4636i −1.15322 0.695256i
\(376\) −5.28470 −0.272537
\(377\) 0.953197 2.93364i 0.0490922 0.151090i
\(378\) 1.05682 + 0.767824i 0.0543569 + 0.0394926i
\(379\) −11.2974 8.20807i −0.580310 0.421620i 0.258526 0.966004i \(-0.416763\pi\)
−0.838836 + 0.544384i \(0.816763\pi\)
\(380\) 1.46999 2.72305i 0.0754090 0.139690i
\(381\) −14.5106 + 10.5426i −0.743403 + 0.540114i
\(382\) −25.2941 −1.29416
\(383\) 7.14294 5.18965i 0.364987 0.265179i −0.390142 0.920755i \(-0.627574\pi\)
0.755129 + 0.655576i \(0.227574\pi\)
\(384\) 0.720740 + 2.21821i 0.0367801 + 0.113198i
\(385\) 1.32970 + 1.39445i 0.0677676 + 0.0710676i
\(386\) −6.49622 + 19.9933i −0.330649 + 1.01763i
\(387\) −5.00216 15.3951i −0.254274 0.782576i
\(388\) 4.28355 + 13.1834i 0.217464 + 0.669286i
\(389\) 6.08115 18.7159i 0.308327 0.948932i −0.670088 0.742282i \(-0.733744\pi\)
0.978415 0.206651i \(-0.0662563\pi\)
\(390\) −20.8026 + 9.98408i −1.05338 + 0.505564i
\(391\) 2.81680 + 8.66923i 0.142452 + 0.438422i
\(392\) 0.809017 0.587785i 0.0408615 0.0296876i
\(393\) 22.0215 1.11084
\(394\) 15.7201 11.4213i 0.791967 0.575398i
\(395\) −25.5068 + 12.2418i −1.28339 + 0.615952i
\(396\) 1.70093 + 1.23580i 0.0854749 + 0.0621012i
\(397\) 21.6755 + 15.7482i 1.08786 + 0.790380i 0.979037 0.203681i \(-0.0652905\pi\)
0.108827 + 0.994061i \(0.465291\pi\)
\(398\) 2.78512 8.57172i 0.139606 0.429662i
\(399\) −3.22776 −0.161590
\(400\) 3.12780 3.90088i 0.156390 0.195044i
\(401\) 14.4476 0.721481 0.360740 0.932666i \(-0.382524\pi\)
0.360740 + 0.932666i \(0.382524\pi\)
\(402\) 0.410446 1.26322i 0.0204712 0.0630038i
\(403\) −26.6409 19.3557i −1.32708 0.964178i
\(404\) 15.7236 + 11.4239i 0.782281 + 0.568360i
\(405\) −3.08112 22.9746i −0.153102 1.14162i
\(406\) 0.564037 0.409797i 0.0279927 0.0203379i
\(407\) 7.39979 0.366794
\(408\) 7.53008 5.47093i 0.372795 0.270851i
\(409\) 4.26071 + 13.1131i 0.210678 + 0.648401i 0.999432 + 0.0336921i \(0.0107266\pi\)
−0.788754 + 0.614709i \(0.789273\pi\)
\(410\) 0.375743 0.696036i 0.0185566 0.0343748i
\(411\) −6.57748 + 20.2434i −0.324443 + 0.998533i
\(412\) 2.70811 + 8.33472i 0.133419 + 0.410622i
\(413\) 3.30840 + 10.1822i 0.162796 + 0.501034i
\(414\) 1.72221 5.30043i 0.0846422 0.260502i
\(415\) −4.05757 30.2555i −0.199178 1.48519i
\(416\) −1.36720 4.20782i −0.0670326 0.206305i
\(417\) −20.2761 + 14.7314i −0.992923 + 0.721401i
\(418\) 1.19250 0.0583269
\(419\) 9.29073 6.75011i 0.453882 0.329764i −0.337245 0.941417i \(-0.609495\pi\)
0.791126 + 0.611653i \(0.209495\pi\)
\(420\) −5.13027 0.938032i −0.250332 0.0457713i
\(421\) −6.39505 4.64627i −0.311676 0.226446i 0.420940 0.907089i \(-0.361700\pi\)
−0.732615 + 0.680643i \(0.761700\pi\)
\(422\) −15.5816 11.3207i −0.758501 0.551083i
\(423\) 3.98454 12.2632i 0.193735 0.596256i
\(424\) −1.08534 −0.0527088
\(425\) −18.6624 7.06059i −0.905258 0.342489i
\(426\) −14.8425 −0.719121
\(427\) 3.54391 10.9070i 0.171502 0.527828i
\(428\) −4.59720 3.34006i −0.222214 0.161448i
\(429\) −7.19378 5.22658i −0.347319 0.252342i
\(430\) −10.2376 10.7362i −0.493702 0.517743i
\(431\) −14.7685 + 10.7300i −0.711374 + 0.516844i −0.883617 0.468211i \(-0.844899\pi\)
0.172242 + 0.985055i \(0.444899\pi\)
\(432\) 1.30630 0.0628494
\(433\) −9.56606 + 6.95015i −0.459715 + 0.334003i −0.793420 0.608675i \(-0.791701\pi\)
0.333704 + 0.942678i \(0.391701\pi\)
\(434\) −2.29998 7.07860i −0.110402 0.339783i
\(435\) −3.57677 0.653985i −0.171493 0.0313562i
\(436\) 5.33867 16.4307i 0.255676 0.786890i
\(437\) −0.976822 3.00635i −0.0467277 0.143813i
\(438\) −7.67070 23.6080i −0.366520 1.12803i
\(439\) 5.82411 17.9248i 0.277970 0.855503i −0.710449 0.703749i \(-0.751508\pi\)
0.988418 0.151754i \(-0.0484921\pi\)
\(440\) 1.89538 + 0.346556i 0.0903588 + 0.0165214i
\(441\) 0.753978 + 2.32051i 0.0359037 + 0.110500i
\(442\) −14.2841 + 10.3780i −0.679427 + 0.493632i
\(443\) −3.54679 −0.168513 −0.0842565 0.996444i \(-0.526852\pi\)
−0.0842565 + 0.996444i \(0.526852\pi\)
\(444\) −16.2040 + 11.7729i −0.769006 + 0.558716i
\(445\) −18.5381 19.4408i −0.878789 0.921583i
\(446\) −4.94328 3.59150i −0.234071 0.170063i
\(447\) 25.6943 + 18.6680i 1.21530 + 0.882967i
\(448\) 0.309017 0.951057i 0.0145997 0.0449332i
\(449\) 20.0062 0.944153 0.472076 0.881558i \(-0.343505\pi\)
0.472076 + 0.881558i \(0.343505\pi\)
\(450\) 6.69373 + 10.1993i 0.315545 + 0.480797i
\(451\) 0.304812 0.0143531
\(452\) −0.443906 + 1.36620i −0.0208796 + 0.0642607i
\(453\) −6.06059 4.40328i −0.284752 0.206884i
\(454\) 5.30055 + 3.85107i 0.248767 + 0.180740i
\(455\) 9.73183 + 1.77939i 0.456235 + 0.0834191i
\(456\) −2.61131 + 1.89723i −0.122286 + 0.0888458i
\(457\) 37.5506 1.75654 0.878272 0.478162i \(-0.158697\pi\)
0.878272 + 0.478162i \(0.158697\pi\)
\(458\) 18.4372 13.3954i 0.861515 0.625927i
\(459\) −1.61091 4.95787i −0.0751909 0.231414i
\(460\) −0.678897 5.06224i −0.0316537 0.236028i
\(461\) −1.90890 + 5.87500i −0.0889064 + 0.273626i −0.985618 0.168990i \(-0.945949\pi\)
0.896711 + 0.442616i \(0.145949\pi\)
\(462\) −0.621057 1.91142i −0.0288942 0.0889271i
\(463\) 10.5727 + 32.5394i 0.491355 + 1.51224i 0.822561 + 0.568677i \(0.192544\pi\)
−0.331206 + 0.943558i \(0.607456\pi\)
\(464\) 0.215443 0.663066i 0.0100017 0.0307820i
\(465\) −18.4395 + 34.1577i −0.855109 + 1.58403i
\(466\) −2.54546 7.83413i −0.117916 0.362909i
\(467\) −16.0604 + 11.6685i −0.743184 + 0.539955i −0.893707 0.448652i \(-0.851904\pi\)
0.150522 + 0.988607i \(0.451904\pi\)
\(468\) 10.7951 0.499004
\(469\) −0.460717 + 0.334731i −0.0212740 + 0.0154564i
\(470\) −1.57071 11.7121i −0.0724513 0.540238i
\(471\) −19.3991 14.0943i −0.893863 0.649429i
\(472\) 8.66151 + 6.29295i 0.398678 + 0.289657i
\(473\) 1.76658 5.43698i 0.0812276 0.249993i
\(474\) 29.5108 1.35548
\(475\) 6.47181 + 2.44850i 0.296947 + 0.112345i
\(476\) −3.99067 −0.182912
\(477\) 0.818323 2.51854i 0.0374684 0.115316i
\(478\) −0.855751 0.621739i −0.0391411 0.0284377i
\(479\) −2.99876 2.17873i −0.137017 0.0995486i 0.517166 0.855885i \(-0.326987\pi\)
−0.654182 + 0.756337i \(0.726987\pi\)
\(480\) −4.70184 + 2.25662i −0.214609 + 0.103000i
\(481\) 30.7380 22.3324i 1.40153 1.01827i
\(482\) 10.1912 0.464197
\(483\) −4.31005 + 3.13144i −0.196114 + 0.142485i
\(484\) −3.16974 9.75545i −0.144079 0.443429i
\(485\) −27.9443 + 13.4117i −1.26888 + 0.608993i
\(486\) −6.26058 + 19.2681i −0.283986 + 0.874018i
\(487\) 12.0923 + 37.2161i 0.547952 + 1.68642i 0.713865 + 0.700284i \(0.246943\pi\)
−0.165912 + 0.986141i \(0.553057\pi\)
\(488\) −3.54391 10.9070i −0.160425 0.493738i
\(489\) −2.47183 + 7.60750i −0.111780 + 0.344023i
\(490\) 1.54312 + 1.61826i 0.0697111 + 0.0731057i
\(491\) −3.45850 10.6442i −0.156080 0.480365i 0.842189 0.539183i \(-0.181267\pi\)
−0.998269 + 0.0588178i \(0.981267\pi\)
\(492\) −0.667474 + 0.484948i −0.0300920 + 0.0218632i
\(493\) −2.78225 −0.125306
\(494\) 4.95350 3.59893i 0.222869 0.161924i
\(495\) −2.23326 + 4.13695i −0.100378 + 0.185942i
\(496\) −6.02141 4.37481i −0.270369 0.196435i
\(497\) 5.14835 + 3.74049i 0.230935 + 0.167784i
\(498\) −9.83942 + 30.2826i −0.440915 + 1.35700i
\(499\) −3.49294 −0.156365 −0.0781827 0.996939i \(-0.524912\pi\)
−0.0781827 + 0.996939i \(0.524912\pi\)
\(500\) 9.57488 + 5.77250i 0.428202 + 0.258154i
\(501\) 48.5122 2.16737
\(502\) 4.77471 14.6951i 0.213106 0.655872i
\(503\) −29.7302 21.6003i −1.32561 0.963109i −0.999844 0.0176565i \(-0.994379\pi\)
−0.325761 0.945452i \(-0.605621\pi\)
\(504\) 1.97394 + 1.43415i 0.0879263 + 0.0638822i
\(505\) −20.6446 + 38.2426i −0.918673 + 1.70177i
\(506\) 1.59235 1.15691i 0.0707886 0.0514309i
\(507\) −15.3352 −0.681059
\(508\) 6.22143 4.52013i 0.276031 0.200549i
\(509\) 7.63948 + 23.5119i 0.338614 + 1.04215i 0.964914 + 0.262565i \(0.0845684\pi\)
−0.626300 + 0.779582i \(0.715432\pi\)
\(510\) 14.3629 + 15.0623i 0.636000 + 0.666971i
\(511\) −3.28881 + 10.1219i −0.145488 + 0.447767i
\(512\) −0.309017 0.951057i −0.0136568 0.0420312i
\(513\) 0.558637 + 1.71931i 0.0246644 + 0.0759094i
\(514\) 9.30184 28.6281i 0.410286 1.26273i
\(515\) −17.6667 + 8.47902i −0.778489 + 0.373630i
\(516\) 4.78165 + 14.7164i 0.210501 + 0.647854i
\(517\) 3.68409 2.67665i 0.162026 0.117719i
\(518\) 8.58751 0.377313
\(519\) 2.53627 1.84271i 0.111330 0.0808859i
\(520\) 8.91912 4.28067i 0.391129 0.187720i
\(521\) 11.3138 + 8.21994i 0.495666 + 0.360122i 0.807359 0.590061i \(-0.200896\pi\)
−0.311693 + 0.950183i \(0.600896\pi\)
\(522\) 1.37621 + 0.999874i 0.0602350 + 0.0437633i
\(523\) 7.85703 24.1815i 0.343564 1.05738i −0.618784 0.785561i \(-0.712374\pi\)
0.962348 0.271820i \(-0.0876255\pi\)
\(524\) −9.44170 −0.412463
\(525\) 0.554080 11.6487i 0.0241820 0.508389i
\(526\) 22.4544 0.979059
\(527\) −9.17844 + 28.2483i −0.399819 + 1.23052i
\(528\) −1.62595 1.18132i −0.0707603 0.0514104i
\(529\) 14.3864 + 10.4523i 0.625496 + 0.454449i
\(530\) −0.322583 2.40536i −0.0140121 0.104482i
\(531\) −21.1334 + 15.3543i −0.917112 + 0.666321i
\(532\) 1.38390 0.0599996
\(533\) 1.26616 0.919918i 0.0548434 0.0398461i
\(534\) 8.65852 + 26.6482i 0.374691 + 1.15318i
\(535\) 6.03597 11.1812i 0.260958 0.483404i
\(536\) −0.175978 + 0.541606i −0.00760111 + 0.0233938i
\(537\) 16.8429 + 51.8370i 0.726823 + 2.23693i
\(538\) 5.21552 + 16.0517i 0.224857 + 0.692038i
\(539\) −0.266278 + 0.819519i −0.0114694 + 0.0352992i
\(540\) 0.388256 + 2.89506i 0.0167079 + 0.124584i
\(541\) 1.44665 + 4.45233i 0.0621964 + 0.191421i 0.977326 0.211738i \(-0.0679123\pi\)
−0.915130 + 0.403159i \(0.867912\pi\)
\(542\) −13.0658 + 9.49283i −0.561222 + 0.407752i
\(543\) −43.5518 −1.86899
\(544\) −3.22852 + 2.34566i −0.138422 + 0.100569i
\(545\) 38.0010 + 6.94819i 1.62778 + 0.297628i
\(546\) −8.34842 6.06548i −0.357280 0.259579i
\(547\) 6.83925 + 4.96901i 0.292425 + 0.212459i 0.724319 0.689465i \(-0.242154\pi\)
−0.431893 + 0.901925i \(0.642154\pi\)
\(548\) 2.82009 8.67934i 0.120468 0.370763i
\(549\) 27.9819 1.19424
\(550\) −0.204705 + 4.30360i −0.00872865 + 0.183506i
\(551\) 0.964838 0.0411035
\(552\) −1.64629 + 5.06677i −0.0700709 + 0.215656i
\(553\) −10.2363 7.43709i −0.435291 0.316257i
\(554\) 11.5119 + 8.36391i 0.489095 + 0.355348i
\(555\) −30.9075 32.4125i −1.31195 1.37584i
\(556\) 8.69335 6.31609i 0.368680 0.267862i
\(557\) 25.6015 1.08477 0.542386 0.840130i \(-0.317521\pi\)
0.542386 + 0.840130i \(0.317521\pi\)
\(558\) 14.6918 10.6742i 0.621953 0.451875i
\(559\) −9.07052 27.9162i −0.383642 1.18073i
\(560\) 2.19960 + 0.402181i 0.0929502 + 0.0169952i
\(561\) −2.47843 + 7.62783i −0.104639 + 0.322047i
\(562\) −2.92203 8.99307i −0.123258 0.379350i
\(563\) −3.04586 9.37420i −0.128368 0.395076i 0.866132 0.499816i \(-0.166599\pi\)
−0.994500 + 0.104740i \(0.966599\pi\)
\(564\) −3.80889 + 11.7226i −0.160383 + 0.493609i
\(565\) −3.15975 0.577736i −0.132932 0.0243055i
\(566\) 7.21848 + 22.2162i 0.303415 + 0.933816i
\(567\) 8.38671 6.09330i 0.352209 0.255895i
\(568\) 6.36371 0.267015
\(569\) 10.1276 7.35812i 0.424570 0.308468i −0.354904 0.934903i \(-0.615486\pi\)
0.779474 + 0.626434i \(0.215486\pi\)
\(570\) −4.98082 5.22337i −0.208623 0.218783i
\(571\) −18.7122 13.5952i −0.783081 0.568942i 0.122821 0.992429i \(-0.460806\pi\)
−0.905902 + 0.423487i \(0.860806\pi\)
\(572\) 3.08433 + 2.24090i 0.128962 + 0.0936965i
\(573\) −18.2305 + 56.1076i −0.761589 + 2.34393i
\(574\) 0.353737 0.0147647
\(575\) 11.0173 3.00918i 0.459453 0.125491i
\(576\) 2.43992 0.101664
\(577\) 11.8204 36.3794i 0.492089 1.51449i −0.329356 0.944206i \(-0.606832\pi\)
0.821445 0.570288i \(-0.193168\pi\)
\(578\) −0.869332 0.631607i −0.0361595 0.0262714i
\(579\) 39.6673 + 28.8200i 1.64852 + 1.19772i
\(580\) 1.53354 + 0.280396i 0.0636767 + 0.0116428i
\(581\) 11.0446 8.02434i 0.458205 0.332906i
\(582\) 32.3309 1.34016
\(583\) 0.756617 0.549714i 0.0313359 0.0227668i
\(584\) 3.28881 + 10.1219i 0.136092 + 0.418848i
\(585\) 3.20850 + 23.9244i 0.132655 + 0.989152i
\(586\) −7.42629 + 22.8558i −0.306777 + 0.944163i
\(587\) 4.80508 + 14.7885i 0.198327 + 0.610388i 0.999922 + 0.0125199i \(0.00398530\pi\)
−0.801595 + 0.597868i \(0.796015\pi\)
\(588\) −0.720740 2.21821i −0.0297228 0.0914775i
\(589\) 3.18293 9.79606i 0.131150 0.403640i
\(590\) −11.3723 + 21.0662i −0.468188 + 0.867284i
\(591\) −14.0048 43.1023i −0.576080 1.77299i
\(592\) 6.94744 5.04761i 0.285538 0.207456i
\(593\) −11.4111 −0.468599 −0.234300 0.972164i \(-0.575280\pi\)
−0.234300 + 0.972164i \(0.575280\pi\)
\(594\) −0.910654 + 0.661629i −0.0373646 + 0.0271470i
\(595\) −1.18610 8.84423i −0.0486253 0.362578i
\(596\) −11.0164 8.00391i −0.451251 0.327853i
\(597\) −17.0065 12.3560i −0.696031 0.505696i
\(598\) 3.12292 9.61137i 0.127706 0.393038i
\(599\) 13.6745 0.558725 0.279362 0.960186i \(-0.409877\pi\)
0.279362 + 0.960186i \(0.409877\pi\)
\(600\) −6.39865 9.74964i −0.261224 0.398027i
\(601\) 39.1796 1.59817 0.799084 0.601220i \(-0.205318\pi\)
0.799084 + 0.601220i \(0.205318\pi\)
\(602\) 2.05013 6.30965i 0.0835571 0.257162i
\(603\) −1.12412 0.816718i −0.0457775 0.0332593i
\(604\) 2.59848 + 1.88790i 0.105731 + 0.0768177i
\(605\) 20.6782 9.92435i 0.840688 0.403482i
\(606\) 36.6733 26.6447i 1.48975 1.08237i
\(607\) −8.38016 −0.340140 −0.170070 0.985432i \(-0.554399\pi\)
−0.170070 + 0.985432i \(0.554399\pi\)
\(608\) 1.11960 0.813435i 0.0454057 0.0329892i
\(609\) −0.502492 1.54651i −0.0203620 0.0626678i
\(610\) 23.1191 11.0959i 0.936067 0.449259i
\(611\) 7.22525 22.2370i 0.292302 0.899614i
\(612\) −3.00888 9.26037i −0.121627 0.374328i
\(613\) 0.541091 + 1.66531i 0.0218545 + 0.0672611i 0.961389 0.275193i \(-0.0887418\pi\)
−0.939534 + 0.342454i \(0.888742\pi\)
\(614\) −8.25963 + 25.4205i −0.333331 + 1.02589i
\(615\) −1.27314 1.33514i −0.0513380 0.0538380i
\(616\) 0.266278 + 0.819519i 0.0107286 + 0.0330193i
\(617\) 7.21917 5.24503i 0.290633 0.211157i −0.432909 0.901438i \(-0.642513\pi\)
0.723542 + 0.690281i \(0.242513\pi\)
\(618\) 20.4400 0.822217
\(619\) −12.5338 + 9.10631i −0.503774 + 0.366013i −0.810457 0.585799i \(-0.800781\pi\)
0.306683 + 0.951812i \(0.400781\pi\)
\(620\) 7.90590 14.6451i 0.317509 0.588161i
\(621\) 2.41396 + 1.75384i 0.0968687 + 0.0703793i
\(622\) −27.4066 19.9120i −1.09890 0.798399i
\(623\) 3.71234 11.4254i 0.148732 0.457749i
\(624\) −10.3192 −0.413099
\(625\) −9.94734 + 22.9358i −0.397894 + 0.917432i
\(626\) −14.8707 −0.594351
\(627\) 0.859480 2.64521i 0.0343243 0.105639i
\(628\) 8.31735 + 6.04291i 0.331898 + 0.241138i
\(629\) −27.7249 20.1433i −1.10547 0.803168i
\(630\) −2.59171 + 4.80095i −0.103256 + 0.191275i
\(631\) 4.70064 3.41521i 0.187129 0.135957i −0.490276 0.871567i \(-0.663104\pi\)
0.677406 + 0.735610i \(0.263104\pi\)
\(632\) −12.6527 −0.503299
\(633\) −36.3420 + 26.4040i −1.44447 + 1.04947i
\(634\) 3.46358 + 10.6598i 0.137556 + 0.423355i
\(635\) 11.8668 + 12.4446i 0.470918 + 0.493850i
\(636\) −0.782249 + 2.40751i −0.0310182 + 0.0954641i
\(637\) 1.36720 + 4.20782i 0.0541705 + 0.166720i
\(638\) 0.185646 + 0.571359i 0.00734978 + 0.0226203i
\(639\) −4.79810 + 14.7670i −0.189810 + 0.584174i
\(640\) 2.01591 0.967523i 0.0796859 0.0382447i
\(641\) −2.54773 7.84110i −0.100629 0.309705i 0.888051 0.459746i \(-0.152059\pi\)
−0.988680 + 0.150041i \(0.952059\pi\)
\(642\) −10.7224 + 7.79025i −0.423178 + 0.307456i
\(643\) −37.4693 −1.47765 −0.738823 0.673899i \(-0.764618\pi\)
−0.738823 + 0.673899i \(0.764618\pi\)
\(644\) 1.84793 1.34260i 0.0728187 0.0529059i
\(645\) −31.1937 + 14.9712i −1.22825 + 0.589491i
\(646\) −4.46795 3.24615i −0.175789 0.127718i
\(647\) −0.465786 0.338414i −0.0183119 0.0133044i 0.578592 0.815617i \(-0.303603\pi\)
−0.596904 + 0.802313i \(0.703603\pi\)
\(648\) 3.20344 9.85917i 0.125843 0.387305i
\(649\) −9.22547 −0.362131
\(650\) 12.1379 + 18.4945i 0.476086 + 0.725414i
\(651\) −17.3595 −0.680372
\(652\) 1.05979 3.26171i 0.0415048 0.127739i
\(653\) −1.73678 1.26185i −0.0679655 0.0493798i 0.553284 0.832993i \(-0.313375\pi\)
−0.621249 + 0.783613i \(0.713375\pi\)
\(654\) −32.5990 23.6846i −1.27472 0.926141i
\(655\) −2.80624 20.9250i −0.109649 0.817606i
\(656\) 0.286179 0.207921i 0.0111734 0.00811796i
\(657\) −25.9677 −1.01309
\(658\) 4.27541 3.10627i 0.166673 0.121095i
\(659\) 8.30657 + 25.5650i 0.323578 + 0.995871i 0.972078 + 0.234656i \(0.0753965\pi\)
−0.648500 + 0.761214i \(0.724603\pi\)
\(660\) 2.13481 3.95458i 0.0830974 0.153932i
\(661\) −1.69433 + 5.21460i −0.0659016 + 0.202824i −0.978585 0.205843i \(-0.934006\pi\)
0.912683 + 0.408667i \(0.134006\pi\)
\(662\) 0.414183 + 1.27472i 0.0160977 + 0.0495436i
\(663\) 12.7255 + 39.1651i 0.494218 + 1.52105i
\(664\) 4.21865 12.9837i 0.163715 0.503864i
\(665\) 0.411320 + 3.06703i 0.0159503 + 0.118934i
\(666\) 6.47479 + 19.9274i 0.250893 + 0.772170i
\(667\) 1.28836 0.936046i 0.0498854 0.0362439i
\(668\) −20.7996 −0.804760
\(669\) −11.5295 + 8.37670i −0.445757 + 0.323862i
\(670\) −1.25263 0.229033i −0.0483931 0.00884831i
\(671\) 7.99485 + 5.80860i 0.308638 + 0.224239i
\(672\) −1.88692 1.37093i −0.0727896 0.0528848i
\(673\) −1.10973 + 3.41539i −0.0427769 + 0.131654i −0.970164 0.242449i \(-0.922049\pi\)
0.927387 + 0.374103i \(0.122049\pi\)
\(674\) −1.30371 −0.0502170
\(675\) −6.30071 + 1.72093i −0.242515 + 0.0662386i
\(676\) 6.57495 0.252883
\(677\) 8.87333 27.3093i 0.341030 1.04958i −0.622645 0.782504i \(-0.713942\pi\)
0.963675 0.267077i \(-0.0860579\pi\)
\(678\) 2.71058 + 1.96935i 0.104099 + 0.0756326i
\(679\) −11.2145 8.14780i −0.430372 0.312684i
\(680\) −6.15808 6.45796i −0.236152 0.247651i
\(681\) 12.3628 8.98211i 0.473744 0.344195i
\(682\) 6.41347 0.245585
\(683\) 14.7347 10.7054i 0.563808 0.409630i −0.269043 0.963128i \(-0.586707\pi\)
0.832850 + 0.553498i \(0.186707\pi\)
\(684\) 1.04343 + 3.21135i 0.0398965 + 0.122789i
\(685\) 20.0736 + 3.67030i 0.766972 + 0.140235i
\(686\) −0.309017 + 0.951057i −0.0117983 + 0.0363115i
\(687\) −16.4254 50.5523i −0.626669 1.92869i
\(688\) −2.05013 6.30965i −0.0781605 0.240553i
\(689\) 1.48388 4.56691i 0.0565313 0.173986i
\(690\) −11.7184 2.14262i −0.446113 0.0815683i
\(691\) −12.1838 37.4979i −0.463494 1.42649i −0.860867 0.508830i \(-0.830078\pi\)
0.397374 0.917657i \(-0.369922\pi\)
\(692\) −1.08742 + 0.790060i −0.0413377 + 0.0300336i
\(693\) −2.10247 −0.0798660
\(694\) −2.73310 + 1.98571i −0.103747 + 0.0753766i
\(695\) 16.5817 + 17.3892i 0.628980 + 0.659609i
\(696\) −1.31554 0.955796i −0.0498654 0.0362294i
\(697\) −1.14205 0.829745i −0.0432581 0.0314288i
\(698\) 2.15295 6.62610i 0.0814904 0.250802i
\(699\) −19.2124 −0.726678
\(700\) −0.237562 + 4.99435i −0.00897898 + 0.188769i
\(701\) −6.34305 −0.239574 −0.119787 0.992800i \(-0.538221\pi\)
−0.119787 + 0.992800i \(0.538221\pi\)
\(702\) −1.78598 + 5.49667i −0.0674074 + 0.207459i
\(703\) 9.61456 + 6.98538i 0.362620 + 0.263459i
\(704\) 0.697124 + 0.506490i 0.0262739 + 0.0190891i
\(705\) −27.1119 4.95721i −1.02109 0.186699i
\(706\) −12.6164 + 9.16636i −0.474825 + 0.344981i
\(707\) −19.4355 −0.730947
\(708\) 20.2018 14.6775i 0.759230 0.551613i
\(709\) −5.71112 17.5770i −0.214486 0.660119i −0.999190 0.0402485i \(-0.987185\pi\)
0.784704 0.619871i \(-0.212815\pi\)
\(710\) 1.89141 + 14.1034i 0.0709833 + 0.529292i
\(711\) 9.53989 29.3607i 0.357774 1.10111i
\(712\) −3.71234 11.4254i −0.139126 0.428185i
\(713\) −5.25354 16.1687i −0.196746 0.605523i
\(714\) −2.87624 + 8.85215i −0.107640 + 0.331283i
\(715\) −4.04961 + 7.50160i −0.151447 + 0.280544i
\(716\) −7.22137 22.2251i −0.269875 0.830591i
\(717\) −1.99592 + 1.45012i −0.0745391 + 0.0541558i
\(718\) −12.1240 −0.452462
\(719\) −26.5637 + 19.2997i −0.990660 + 0.719757i −0.960066 0.279775i \(-0.909740\pi\)
−0.0305947 + 0.999532i \(0.509740\pi\)
\(720\) 0.725190 + 5.40743i 0.0270262 + 0.201523i
\(721\) −7.08993 5.15114i −0.264043 0.191838i
\(722\) −13.8219 10.0422i −0.514398 0.373732i
\(723\) 7.34521 22.6062i 0.273171 0.840735i
\(724\) 18.6728 0.693970
\(725\) −0.165625 + 3.48201i −0.00615116 + 0.129318i
\(726\) −23.9242 −0.887910
\(727\) −13.1128 + 40.3569i −0.486326 + 1.49676i 0.343726 + 0.939070i \(0.388311\pi\)
−0.830052 + 0.557686i \(0.811689\pi\)
\(728\) 3.57938 + 2.60057i 0.132661 + 0.0963836i
\(729\) 13.0683 + 9.49465i 0.484010 + 0.351654i
\(730\) −21.4550 + 10.2972i −0.794084 + 0.381115i
\(731\) −21.4192 + 15.5619i −0.792217 + 0.575579i
\(732\) −26.7483 −0.988647
\(733\) −12.8110 + 9.30773i −0.473185 + 0.343789i −0.798681 0.601755i \(-0.794469\pi\)
0.325497 + 0.945543i \(0.394469\pi\)
\(734\) 4.79192 + 14.7480i 0.176873 + 0.544359i
\(735\) 4.70184 2.25662i 0.173430 0.0832365i
\(736\) 0.705847 2.17238i 0.0260179 0.0800748i
\(737\) −0.151639 0.466698i −0.00558571 0.0171910i
\(738\) 0.266710 + 0.820848i 0.00981772 + 0.0302158i
\(739\) 0.615651 1.89478i 0.0226471 0.0697006i −0.939094 0.343660i \(-0.888333\pi\)
0.961741 + 0.273959i \(0.0883333\pi\)
\(740\) 13.2516 + 13.8969i 0.487137 + 0.510859i
\(741\) −4.41300 13.5818i −0.162115 0.498940i
\(742\) 0.878059 0.637947i 0.0322346 0.0234198i
\(743\) 19.4460 0.713405 0.356702 0.934218i \(-0.383901\pi\)
0.356702 + 0.934218i \(0.383901\pi\)
\(744\) −14.0441 + 10.2037i −0.514883 + 0.374084i
\(745\) 14.4642 26.7938i 0.529927 0.981649i
\(746\) 23.2636 + 16.9020i 0.851741 + 0.618826i
\(747\) 26.9479 + 19.5788i 0.985971 + 0.716350i
\(748\) 1.06263 3.27043i 0.0388535 0.119579i
\(749\) 5.68246 0.207632
\(750\) 19.7056 17.0786i 0.719547 0.623623i
\(751\) 23.0775 0.842110 0.421055 0.907035i \(-0.361660\pi\)
0.421055 + 0.907035i \(0.361660\pi\)
\(752\) 1.63306 5.02604i 0.0595516 0.183281i
\(753\) −29.1554 21.1826i −1.06248 0.771938i
\(754\) 2.49550 + 1.81309i 0.0908809 + 0.0660288i
\(755\) −3.41171 + 6.31993i −0.124165 + 0.230006i
\(756\) −1.05682 + 0.767824i −0.0384362 + 0.0279255i
\(757\) −13.0180 −0.473148 −0.236574 0.971614i \(-0.576025\pi\)
−0.236574 + 0.971614i \(0.576025\pi\)
\(758\) 11.2974 8.20807i 0.410341 0.298130i
\(759\) −1.41860 4.36600i −0.0514919 0.158476i
\(760\) 2.13552 + 2.23952i 0.0774635 + 0.0812357i
\(761\) 2.34010 7.20208i 0.0848285 0.261075i −0.899641 0.436630i \(-0.856172\pi\)
0.984470 + 0.175555i \(0.0561719\pi\)
\(762\) −5.54257 17.0583i −0.200786 0.617956i
\(763\) 5.33867 + 16.4307i 0.193273 + 0.594833i
\(764\) 7.81630 24.0561i 0.282784 0.870319i
\(765\) 19.6288 9.42071i 0.709681 0.340606i
\(766\) 2.72836 + 8.39703i 0.0985796 + 0.303397i
\(767\) −38.3216 + 27.8423i −1.38371 + 1.00533i
\(768\) −2.33236 −0.0841620
\(769\) −22.6706 + 16.4712i −0.817524 + 0.593966i −0.916002 0.401173i \(-0.868603\pi\)
0.0984783 + 0.995139i \(0.468603\pi\)
\(770\) −1.73710 + 0.833708i −0.0626006 + 0.0300447i
\(771\) −56.7990 41.2669i −2.04556 1.48619i
\(772\) −17.0073 12.3566i −0.612107 0.444722i
\(773\) 3.02268 9.30284i 0.108718 0.334600i −0.881867 0.471498i \(-0.843713\pi\)
0.990585 + 0.136898i \(0.0437133\pi\)
\(774\) 16.1873 0.581842
\(775\) 34.8066 + 13.1685i 1.25029 + 0.473026i
\(776\) −13.8619 −0.497612
\(777\) 6.18936 19.0489i 0.222042 0.683375i
\(778\) 15.9207 + 11.5670i 0.570784 + 0.414699i
\(779\) 0.396043 + 0.287742i 0.0141897 + 0.0103094i
\(780\) −3.06706 22.8697i −0.109818 0.818868i
\(781\) −4.43629 + 3.22316i −0.158743 + 0.115334i
\(782\) −9.11537 −0.325965
\(783\) −0.736802 + 0.535318i −0.0263312 + 0.0191307i
\(784\) 0.309017 + 0.951057i 0.0110363 + 0.0339663i
\(785\) −10.9204 + 20.2292i −0.389765 + 0.722011i
\(786\) −6.80501 + 20.9437i −0.242727 + 0.747036i
\(787\) −0.0936544 0.288239i −0.00333842 0.0102746i 0.949373 0.314150i \(-0.101719\pi\)
−0.952712 + 0.303875i \(0.901719\pi\)
\(788\) 6.00454 + 18.4801i 0.213903 + 0.658326i
\(789\) 16.1838 49.8086i 0.576158 1.77323i
\(790\) −3.76062 28.0413i −0.133797 0.997666i
\(791\) −0.443906 1.36620i −0.0157835 0.0485765i
\(792\) −1.70093 + 1.23580i −0.0604399 + 0.0439122i
\(793\) 50.7400 1.80183
\(794\) −21.6755 + 15.7482i −0.769236 + 0.558883i
\(795\) −5.56809 1.01808i −0.197480 0.0361077i
\(796\) 7.29154 + 5.29762i 0.258442 + 0.187769i
\(797\) −40.7120 29.5790i −1.44209 1.04774i −0.987600 0.156990i \(-0.949821\pi\)
−0.454492 0.890751i \(-0.650179\pi\)
\(798\) 0.997432 3.06978i 0.0353087 0.108669i
\(799\) −21.0895 −0.746092
\(800\) 2.74342 + 4.18015i 0.0969944 + 0.147791i
\(801\) 29.3117 1.03568
\(802\) −4.46457 + 13.7405i −0.157649 + 0.485195i
\(803\) −7.41936 5.39048i −0.261824 0.190226i
\(804\) 1.07456 + 0.780714i 0.0378968 + 0.0275337i
\(805\) 3.52475 + 3.69639i 0.124231 + 0.130281i
\(806\) 26.6409 19.3557i 0.938385 0.681777i
\(807\) 39.3651 1.38572
\(808\) −15.7236 + 11.4239i −0.553156 + 0.401891i
\(809\) 1.59316 + 4.90326i 0.0560127 + 0.172389i 0.975149 0.221551i \(-0.0711118\pi\)
−0.919136 + 0.393940i \(0.871112\pi\)
\(810\) 22.8023 + 4.16922i 0.801190 + 0.146492i
\(811\) 2.75069 8.46576i 0.0965899 0.297273i −0.891075 0.453856i \(-0.850048\pi\)
0.987665 + 0.156583i \(0.0500479\pi\)
\(812\) 0.215443 + 0.663066i 0.00756057 + 0.0232690i
\(813\) 11.6401 + 35.8245i 0.408235 + 1.25642i
\(814\) −2.28666 + 7.03762i −0.0801475 + 0.246669i
\(815\) 7.54368 + 1.37931i 0.264244 + 0.0483149i
\(816\) 2.87624 + 8.85215i 0.100688 + 0.309887i
\(817\) 7.42782 5.39663i 0.259866 0.188804i
\(818\) −13.7879 −0.482084
\(819\) −8.73342 + 6.34520i −0.305170 + 0.221719i
\(820\) 0.545858 + 0.572440i 0.0190622 + 0.0199905i
\(821\) −38.1758 27.7363i −1.33234 0.968004i −0.999689 0.0249552i \(-0.992056\pi\)
−0.332655 0.943049i \(-0.607944\pi\)
\(822\) −17.2201 12.5111i −0.600619 0.436375i
\(823\) −0.335141 + 1.03146i −0.0116823 + 0.0359544i −0.956728 0.290985i \(-0.906017\pi\)
0.945045 + 0.326939i \(0.106017\pi\)
\(824\) −8.76364 −0.305296
\(825\) 9.39875 + 3.55586i 0.327222 + 0.123799i
\(826\) −10.7062 −0.372517
\(827\) 12.0425 37.0630i 0.418759 1.28881i −0.490087 0.871674i \(-0.663035\pi\)
0.908845 0.417133i \(-0.136965\pi\)
\(828\) 4.50882 + 3.27585i 0.156692 + 0.113844i
\(829\) −43.6457 31.7105i −1.51588 1.10135i −0.963484 0.267767i \(-0.913714\pi\)
−0.552395 0.833583i \(-0.686286\pi\)
\(830\) 30.0286 + 5.49050i 1.04231 + 0.190578i
\(831\) 26.8500 19.5077i 0.931417 0.676714i
\(832\) 4.42436 0.153387
\(833\) 3.22852 2.34566i 0.111862 0.0812722i
\(834\) −7.74476 23.8359i −0.268179 0.825371i
\(835\) −6.18201 46.0966i −0.213937 1.59524i
\(836\) −0.368501 + 1.13413i −0.0127449 + 0.0392247i
\(837\) 3.00446 + 9.24678i 0.103849 + 0.319615i
\(838\) 3.54874 + 10.9219i 0.122589 + 0.377291i
\(839\) 9.91498 30.5152i 0.342303 1.05350i −0.620709 0.784041i \(-0.713155\pi\)
0.963012 0.269459i \(-0.0868450\pi\)
\(840\) 2.47746 4.58931i 0.0854806 0.158346i
\(841\) −8.81129 27.1184i −0.303838 0.935116i
\(842\) 6.39505 4.64627i 0.220388 0.160121i
\(843\) −22.0546 −0.759599
\(844\) 15.5816 11.3207i 0.536341 0.389675i
\(845\) 1.95420 + 14.5716i 0.0672264 + 0.501278i
\(846\) 10.4317 + 7.57905i 0.358648 + 0.260573i
\(847\) 8.29848 + 6.02920i 0.285139 + 0.207166i
\(848\) 0.335389 1.03222i 0.0115173 0.0354466i
\(849\) 54.4828 1.86985
\(850\) 12.4820 15.5671i 0.428129 0.533948i
\(851\) 19.6153 0.672405
\(852\) 4.58658 14.1160i 0.157134 0.483608i
\(853\) −4.79948 3.48703i −0.164331 0.119393i 0.502580 0.864530i \(-0.332384\pi\)
−0.666911 + 0.745137i \(0.732384\pi\)
\(854\) 9.27808 + 6.74092i 0.317489 + 0.230669i
\(855\) −6.80694 + 3.26695i −0.232793 + 0.111727i
\(856\) 4.59720 3.34006i 0.157129 0.114161i
\(857\) −11.4247 −0.390261 −0.195130 0.980777i \(-0.562513\pi\)
−0.195130 + 0.980777i \(0.562513\pi\)
\(858\) 7.19378 5.22658i 0.245591 0.178433i
\(859\) 14.8917 + 45.8321i 0.508100 + 1.56377i 0.795496 + 0.605959i \(0.207210\pi\)
−0.287396 + 0.957812i \(0.592790\pi\)
\(860\) 13.3743 6.41890i 0.456059 0.218883i
\(861\) 0.254952 0.784663i 0.00868875 0.0267412i
\(862\) −5.64107 17.3614i −0.192136 0.591333i
\(863\) 14.2570 + 43.8784i 0.485312 + 1.49364i 0.831528 + 0.555483i \(0.187467\pi\)
−0.346216 + 0.938155i \(0.612533\pi\)
\(864\) −0.403669 + 1.24237i −0.0137331 + 0.0422662i
\(865\) −2.07415 2.17516i −0.0705234 0.0739576i
\(866\) −3.65391 11.2456i −0.124165 0.382140i
\(867\) −2.02760 + 1.47314i −0.0688609 + 0.0500304i
\(868\) 7.44288 0.252628
\(869\) 8.82053 6.40849i 0.299216 0.217393i
\(870\) 1.72726 3.19962i 0.0585595 0.108477i
\(871\) −2.03838 1.48097i −0.0690678 0.0501807i
\(872\) 13.9768 + 10.1548i 0.473315 + 0.343883i
\(873\) 10.4515 32.1665i 0.353731 1.08867i
\(874\) 3.16106 0.106924
\(875\) −11.1392 + 0.957922i −0.376575 + 0.0323837i
\(876\) 24.8229 0.838689
\(877\) −4.91297 + 15.1206i −0.165899 + 0.510586i −0.999101 0.0423829i \(-0.986505\pi\)
0.833202 + 0.552969i \(0.186505\pi\)
\(878\) 15.2477 + 11.0781i 0.514586 + 0.373868i
\(879\) 45.3465 + 32.9461i 1.52950 + 1.11125i
\(880\) −0.915300 + 1.69552i −0.0308547 + 0.0571561i
\(881\) −19.6447 + 14.2727i −0.661848 + 0.480861i −0.867287 0.497809i \(-0.834138\pi\)
0.205438 + 0.978670i \(0.434138\pi\)
\(882\) −2.43992 −0.0821565
\(883\) 26.6599 19.3695i 0.897175 0.651836i −0.0405635 0.999177i \(-0.512915\pi\)
0.937739 + 0.347341i \(0.112915\pi\)
\(884\) −5.45605 16.7920i −0.183507 0.564776i
\(885\) 38.5329 + 40.4093i 1.29527 + 1.35835i
\(886\) 1.09602 3.37320i 0.0368215 0.113325i
\(887\) 7.65374 + 23.5558i 0.256987 + 0.790926i 0.993432 + 0.114427i \(0.0365034\pi\)
−0.736444 + 0.676498i \(0.763497\pi\)
\(888\) −6.18936 19.0489i −0.207701 0.639239i
\(889\) −2.37638 + 7.31373i −0.0797011 + 0.245295i
\(890\) 24.2179 11.6232i 0.811786 0.389611i
\(891\) 2.76038 + 8.49557i 0.0924762 + 0.284612i
\(892\) 4.94328 3.59150i 0.165513 0.120252i
\(893\) 7.31349 0.244736
\(894\) −25.6943 + 18.6680i −0.859347 + 0.624352i
\(895\) 47.1095 22.6099i 1.57470 0.755766i
\(896\) 0.809017 + 0.587785i 0.0270274 + 0.0196365i
\(897\) −19.0692 13.8546i −0.636703 0.462592i
\(898\) −6.18227 + 19.0271i −0.206305 + 0.634941i
\(899\) 5.18909 0.173066
\(900\) −11.7685 + 3.21437i −0.392285 + 0.107146i
\(901\) −4.33124 −0.144294
\(902\) −0.0941922 + 0.289894i −0.00313626 + 0.00965241i
\(903\) −12.5185 9.09524i −0.416591 0.302671i
\(904\) −1.16216 0.844359i −0.0386529 0.0280830i
\(905\) 5.54990 + 41.3832i 0.184485 + 1.37562i
\(906\) 6.06059 4.40328i 0.201350 0.146289i
\(907\) −29.1813 −0.968949 −0.484475 0.874805i \(-0.660989\pi\)
−0.484475 + 0.874805i \(0.660989\pi\)
\(908\) −5.30055 + 3.85107i −0.175905 + 0.127802i
\(909\) −14.6539 45.1002i −0.486040 1.49588i
\(910\) −4.69960 + 8.70566i −0.155790 + 0.288590i
\(911\) −9.86191 + 30.3518i −0.326740 + 1.00560i 0.643910 + 0.765101i \(0.277311\pi\)
−0.970649 + 0.240499i \(0.922689\pi\)
\(912\) −0.997432 3.06978i −0.0330283 0.101651i
\(913\) 3.63518 + 11.1879i 0.120307 + 0.370266i
\(914\) −11.6038 + 35.7127i −0.383819 + 1.18127i
\(915\) −7.95009 59.2804i −0.262822 1.95975i
\(916\) 7.04239 + 21.6743i 0.232687 + 0.716138i
\(917\) 7.63850 5.54969i 0.252245 0.183267i
\(918\) 5.21302 0.172055
\(919\) −8.74185 + 6.35133i −0.288367 + 0.209511i −0.722559 0.691310i \(-0.757034\pi\)
0.434192 + 0.900821i \(0.357034\pi\)
\(920\) 5.02427 + 0.918649i 0.165645 + 0.0302870i
\(921\) 50.4350 + 36.6432i 1.66189 + 1.20743i
\(922\) −4.99757 3.63095i −0.164586 0.119579i
\(923\) −8.70047 + 26.7773i −0.286380 + 0.881386i
\(924\) 2.00978 0.0661170
\(925\) −26.8600 + 33.4988i −0.883151 + 1.10144i
\(926\) −34.2140 −1.12434
\(927\) 6.60759 20.3361i 0.217022 0.667924i
\(928\) 0.564037 + 0.409797i 0.0185154 + 0.0134522i
\(929\) −6.18394 4.49290i −0.202889 0.147407i 0.481702 0.876335i \(-0.340019\pi\)
−0.684590 + 0.728928i \(0.740019\pi\)
\(930\) −26.7878 28.0923i −0.878406 0.921182i
\(931\) −1.11960 + 0.813435i −0.0366933 + 0.0266593i
\(932\) 8.23729 0.269821
\(933\) −63.9221 + 46.4421i −2.09271 + 1.52045i
\(934\) −6.13451 18.8801i −0.200727 0.617775i
\(935\) 7.56384 + 1.38299i 0.247364 + 0.0452286i
\(936\) −3.33587 + 10.2668i −0.109036 + 0.335579i
\(937\) 9.62849 + 29.6334i 0.314549 + 0.968082i 0.975940 + 0.218041i \(0.0699666\pi\)
−0.661391 + 0.750042i \(0.730033\pi\)
\(938\) −0.175978 0.541606i −0.00574590 0.0176841i
\(939\) −10.7179 + 32.9863i −0.349765 + 1.07647i
\(940\) 11.6242 + 2.12540i 0.379141 + 0.0693230i
\(941\) 3.13148 + 9.63771i 0.102083 + 0.314180i 0.989035 0.147682i \(-0.0471813\pi\)
−0.886951 + 0.461863i \(0.847181\pi\)
\(942\) 19.3991 14.0943i 0.632057 0.459216i
\(943\) 0.807995 0.0263119
\(944\) −8.66151 + 6.29295i −0.281908 + 0.204818i
\(945\) −2.01578 2.11394i −0.0655733 0.0687665i
\(946\) 4.62497 + 3.36024i 0.150371 + 0.109251i
\(947\) −47.4822 34.4978i −1.54296 1.12103i −0.948442 0.316949i \(-0.897341\pi\)
−0.594522 0.804080i \(-0.702659\pi\)
\(948\) −9.11934 + 28.0664i −0.296182 + 0.911555i
\(949\) −47.0876 −1.52853
\(950\) −4.32856 + 5.39843i −0.140437 + 0.175148i
\(951\) 26.1420 0.847713
\(952\) 1.23318 3.79535i 0.0399677 0.123008i
\(953\) −27.5410 20.0097i −0.892142 0.648179i 0.0442937 0.999019i \(-0.485896\pi\)
−0.936436 + 0.350839i \(0.885896\pi\)
\(954\) 2.14240 + 1.55654i 0.0693627 + 0.0503949i
\(955\) 55.6369 + 10.1728i 1.80037 + 0.329184i
\(956\) 0.855751 0.621739i 0.0276770 0.0201085i
\(957\) 1.40120 0.0452942
\(958\) 2.99876 2.17873i 0.0968856 0.0703915i
\(959\) 2.82009 + 8.67934i 0.0910655 + 0.280271i
\(960\) −0.693221 5.16905i −0.0223736 0.166830i
\(961\) 7.53890 23.2024i 0.243190 0.748463i
\(962\) 11.7409 + 36.1346i 0.378540 + 1.16503i
\(963\) 4.28445 + 13.1862i 0.138064 + 0.424918i
\(964\) −3.14926 + 9.69241i −0.101431 + 0.312172i
\(965\) 22.3300 41.3647i 0.718829 1.33158i
\(966\) −1.64629 5.06677i −0.0529686 0.163021i
\(967\) −41.3212 + 30.0216i −1.32880 + 0.965431i −0.329024 + 0.944321i \(0.606720\pi\)
−0.999777 + 0.0211093i \(0.993280\pi\)
\(968\) 10.2575 0.329688
\(969\) −10.4209 + 7.57121i −0.334767 + 0.243222i
\(970\) −4.12000 30.7210i −0.132285 0.986393i
\(971\) 28.2087 + 20.4948i 0.905261 + 0.657711i 0.939812 0.341692i \(-0.111000\pi\)
−0.0345506 + 0.999403i \(0.511000\pi\)
\(972\) −16.3904 11.9083i −0.525722 0.381960i
\(973\) −3.32056 + 10.2196i −0.106452 + 0.327627i
\(974\) −39.1314 −1.25385
\(975\) 49.7729 13.5946i 1.59401 0.435375i
\(976\) 11.4683 0.367092
\(977\) −3.62565 + 11.1586i −0.115995 + 0.356996i −0.992153 0.125028i \(-0.960098\pi\)
0.876158 + 0.482024i \(0.160098\pi\)
\(978\) −6.47133 4.70169i −0.206930 0.150344i
\(979\) 8.37481 + 6.08466i 0.267660 + 0.194466i
\(980\) −2.01591 + 0.967523i −0.0643959 + 0.0309064i
\(981\) −34.1024 + 24.7768i −1.08881 + 0.791063i
\(982\) 11.1920 0.357150
\(983\) −32.2125 + 23.4037i −1.02742 + 0.746463i −0.967790 0.251757i \(-0.918992\pi\)
−0.0596282 + 0.998221i \(0.518992\pi\)
\(984\) −0.254952 0.784663i −0.00812758 0.0250141i
\(985\) −39.1714 + 18.8000i −1.24810 + 0.599019i
\(986\) 0.859762 2.64608i 0.0273804 0.0842682i
\(987\) −3.80889 11.7226i −0.121238 0.373133i
\(988\) 1.89207 + 5.82319i 0.0601948 + 0.185260i
\(989\) 4.68285 14.4123i 0.148906 0.458285i
\(990\) −3.24436 3.40235i −0.103112 0.108134i
\(991\) −9.01394 27.7421i −0.286337 0.881256i −0.985995 0.166777i \(-0.946664\pi\)
0.699657 0.714479i \(-0.253336\pi\)
\(992\) 6.02141 4.37481i 0.191180 0.138900i
\(993\) 3.12613 0.0992046
\(994\) −5.14835 + 3.74049i −0.163296 + 0.118641i
\(995\) −9.57354 + 17.7343i −0.303502 + 0.562214i
\(996\) −25.7599 18.7157i −0.816235 0.593029i
\(997\) 32.8733 + 23.8838i 1.04111 + 0.756408i 0.970501 0.241096i \(-0.0775069\pi\)
0.0706053 + 0.997504i \(0.477507\pi\)
\(998\) 1.07938 3.32198i 0.0341671 0.105156i
\(999\) −11.2179 −0.354918
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 350.2.h.d.71.4 20
25.6 even 5 inner 350.2.h.d.281.4 yes 20
25.9 even 10 8750.2.a.x.1.8 10
25.16 even 5 8750.2.a.w.1.3 10
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
350.2.h.d.71.4 20 1.1 even 1 trivial
350.2.h.d.281.4 yes 20 25.6 even 5 inner
8750.2.a.w.1.3 10 25.16 even 5
8750.2.a.x.1.8 10 25.9 even 10