Properties

Label 350.2.h.d.71.3
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 71.3
Root \(-0.210620 - 0.153024i\) of defining polynomial
Character \(\chi\) \(=\) 350.71
Dual form 350.2.h.d.281.3

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.309017 + 0.951057i) q^{2} +(-0.210620 - 0.153024i) q^{3} +(-0.809017 - 0.587785i) q^{4} +(-2.22785 + 0.191483i) q^{5} +(0.210620 - 0.153024i) q^{6} +1.00000 q^{7} +(0.809017 - 0.587785i) q^{8} +(-0.906107 - 2.78871i) q^{9} +O(q^{10})\) \(q+(-0.309017 + 0.951057i) q^{2} +(-0.210620 - 0.153024i) q^{3} +(-0.809017 - 0.587785i) q^{4} +(-2.22785 + 0.191483i) q^{5} +(0.210620 - 0.153024i) q^{6} +1.00000 q^{7} +(0.809017 - 0.587785i) q^{8} +(-0.906107 - 2.78871i) q^{9} +(0.506334 - 2.17799i) q^{10} +(0.834544 - 2.56846i) q^{11} +(0.0804497 + 0.247599i) q^{12} +(-0.226014 - 0.695599i) q^{13} +(-0.309017 + 0.951057i) q^{14} +(0.498532 + 0.300586i) q^{15} +(0.309017 + 0.951057i) q^{16} +(4.53660 - 3.29603i) q^{17} +2.93222 q^{18} +(-2.27661 + 1.65405i) q^{19} +(1.91492 + 1.15459i) q^{20} +(-0.210620 - 0.153024i) q^{21} +(2.18487 + 1.58740i) q^{22} +(2.10131 - 6.46716i) q^{23} -0.260341 q^{24} +(4.92667 - 0.853190i) q^{25} +0.731396 q^{26} +(-0.477246 + 1.46881i) q^{27} +(-0.809017 - 0.587785i) q^{28} +(-7.07711 - 5.14182i) q^{29} +(-0.439929 + 0.381246i) q^{30} +(1.67982 - 1.22046i) q^{31} -1.00000 q^{32} +(-0.568809 + 0.413264i) q^{33} +(1.73283 + 5.33309i) q^{34} +(-2.22785 + 0.191483i) q^{35} +(-0.906107 + 2.78871i) q^{36} +(0.994531 + 3.06085i) q^{37} +(-0.869586 - 2.67631i) q^{38} +(-0.0588406 + 0.181093i) q^{39} +(-1.68982 + 1.46441i) q^{40} +(-0.0344775 - 0.106111i) q^{41} +(0.210620 - 0.153024i) q^{42} -1.32971 q^{43} +(-2.18487 + 1.58740i) q^{44} +(2.55266 + 6.03933i) q^{45} +(5.50130 + 3.99693i) q^{46} +(-1.23733 - 0.898974i) q^{47} +(0.0804497 - 0.247599i) q^{48} +1.00000 q^{49} +(-0.710992 + 4.94919i) q^{50} -1.45987 q^{51} +(-0.226014 + 0.695599i) q^{52} +(-1.73372 - 1.25962i) q^{53} +(-1.24944 - 0.907775i) q^{54} +(-1.36743 + 5.88196i) q^{55} +(0.809017 - 0.587785i) q^{56} +0.732609 q^{57} +(7.07711 - 5.14182i) q^{58} +(-0.278337 - 0.856632i) q^{59} +(-0.226641 - 0.536209i) q^{60} +(-4.23509 + 13.0343i) q^{61} +(0.641634 + 1.97475i) q^{62} +(-0.906107 - 2.78871i) q^{63} +(0.309017 - 0.951057i) q^{64} +(0.636721 + 1.50642i) q^{65} +(-0.217266 - 0.668675i) q^{66} +(7.07116 - 5.13750i) q^{67} -5.60755 q^{68} +(-1.43221 + 1.04056i) q^{69} +(0.506334 - 2.17799i) q^{70} +(-4.83843 - 3.51533i) q^{71} +(-2.37222 - 1.72352i) q^{72} +(-0.619148 + 1.90554i) q^{73} -3.21837 q^{74} +(-1.16821 - 0.574202i) q^{75} +2.81404 q^{76} +(0.834544 - 2.56846i) q^{77} +(-0.154047 - 0.111921i) q^{78} +(-11.8160 - 8.58481i) q^{79} +(-0.870556 - 2.05964i) q^{80} +(-6.79137 + 4.93422i) q^{81} +0.111572 q^{82} +(7.00971 - 5.09285i) q^{83} +(0.0804497 + 0.247599i) q^{84} +(-9.47575 + 8.21176i) q^{85} +(0.410904 - 1.26463i) q^{86} +(0.703757 + 2.16594i) q^{87} +(-0.834544 - 2.56846i) q^{88} +(-3.82966 + 11.7865i) q^{89} +(-6.53256 + 0.561469i) q^{90} +(-0.226014 - 0.695599i) q^{91} +(-5.50130 + 3.99693i) q^{92} -0.540564 q^{93} +(1.23733 - 0.898974i) q^{94} +(4.75522 - 4.12091i) q^{95} +(0.210620 + 0.153024i) q^{96} +(11.0243 + 8.00962i) q^{97} +(-0.309017 + 0.951057i) q^{98} -7.91888 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
\(3\) −0.210620 0.153024i −0.121602 0.0883487i 0.525322 0.850903i \(-0.323945\pi\)
−0.646924 + 0.762555i \(0.723945\pi\)
\(4\) −0.809017 0.587785i −0.404508 0.293893i
\(5\) −2.22785 + 0.191483i −0.996327 + 0.0856336i
\(6\) 0.210620 0.153024i 0.0859853 0.0624720i
\(7\) 1.00000 0.377964
\(8\) 0.809017 0.587785i 0.286031 0.207813i
\(9\) −0.906107 2.78871i −0.302036 0.929570i
\(10\) 0.506334 2.17799i 0.160117 0.688740i
\(11\) 0.834544 2.56846i 0.251625 0.774421i −0.742851 0.669456i \(-0.766527\pi\)
0.994476 0.104964i \(-0.0334729\pi\)
\(12\) 0.0804497 + 0.247599i 0.0232238 + 0.0714756i
\(13\) −0.226014 0.695599i −0.0626850 0.192925i 0.914809 0.403886i \(-0.132341\pi\)
−0.977494 + 0.210961i \(0.932341\pi\)
\(14\) −0.309017 + 0.951057i −0.0825883 + 0.254181i
\(15\) 0.498532 + 0.300586i 0.128720 + 0.0776110i
\(16\) 0.309017 + 0.951057i 0.0772542 + 0.237764i
\(17\) 4.53660 3.29603i 1.10029 0.799405i 0.119180 0.992873i \(-0.461973\pi\)
0.981107 + 0.193467i \(0.0619733\pi\)
\(18\) 2.93222 0.691132
\(19\) −2.27661 + 1.65405i −0.522289 + 0.379465i −0.817466 0.575978i \(-0.804622\pi\)
0.295176 + 0.955443i \(0.404622\pi\)
\(20\) 1.91492 + 1.15459i 0.428190 + 0.258174i
\(21\) −0.210620 0.153024i −0.0459611 0.0333927i
\(22\) 2.18487 + 1.58740i 0.465815 + 0.338434i
\(23\) 2.10131 6.46716i 0.438153 1.34850i −0.451668 0.892186i \(-0.649171\pi\)
0.889821 0.456310i \(-0.150829\pi\)
\(24\) −0.260341 −0.0531418
\(25\) 4.92667 0.853190i 0.985334 0.170638i
\(26\) 0.731396 0.143439
\(27\) −0.477246 + 1.46881i −0.0918459 + 0.282673i
\(28\) −0.809017 0.587785i −0.152890 0.111081i
\(29\) −7.07711 5.14182i −1.31419 0.954813i −0.999985 0.00545678i \(-0.998263\pi\)
−0.314202 0.949356i \(-0.601737\pi\)
\(30\) −0.439929 + 0.381246i −0.0803197 + 0.0696057i
\(31\) 1.67982 1.22046i 0.301705 0.219201i −0.426624 0.904429i \(-0.640297\pi\)
0.728329 + 0.685228i \(0.240297\pi\)
\(32\) −1.00000 −0.176777
\(33\) −0.568809 + 0.413264i −0.0990170 + 0.0719400i
\(34\) 1.73283 + 5.33309i 0.297177 + 0.914618i
\(35\) −2.22785 + 0.191483i −0.376576 + 0.0323665i
\(36\) −0.906107 + 2.78871i −0.151018 + 0.464785i
\(37\) 0.994531 + 3.06085i 0.163500 + 0.503201i 0.998923 0.0464070i \(-0.0147771\pi\)
−0.835423 + 0.549608i \(0.814777\pi\)
\(38\) −0.869586 2.67631i −0.141065 0.434155i
\(39\) −0.0588406 + 0.181093i −0.00942204 + 0.0289981i
\(40\) −1.68982 + 1.46441i −0.267184 + 0.231544i
\(41\) −0.0344775 0.106111i −0.00538448 0.0165717i 0.948328 0.317291i \(-0.102773\pi\)
−0.953713 + 0.300719i \(0.902773\pi\)
\(42\) 0.210620 0.153024i 0.0324994 0.0236122i
\(43\) −1.32971 −0.202779 −0.101390 0.994847i \(-0.532329\pi\)
−0.101390 + 0.994847i \(0.532329\pi\)
\(44\) −2.18487 + 1.58740i −0.329381 + 0.239309i
\(45\) 2.55266 + 6.03933i 0.380528 + 0.900291i
\(46\) 5.50130 + 3.99693i 0.811122 + 0.589315i
\(47\) −1.23733 0.898974i −0.180483 0.131129i 0.493875 0.869533i \(-0.335580\pi\)
−0.674359 + 0.738404i \(0.735580\pi\)
\(48\) 0.0804497 0.247599i 0.0116119 0.0357378i
\(49\) 1.00000 0.142857
\(50\) −0.710992 + 4.94919i −0.100549 + 0.699921i
\(51\) −1.45987 −0.204423
\(52\) −0.226014 + 0.695599i −0.0313425 + 0.0964623i
\(53\) −1.73372 1.25962i −0.238145 0.173023i 0.462311 0.886718i \(-0.347020\pi\)
−0.700457 + 0.713695i \(0.747020\pi\)
\(54\) −1.24944 0.907775i −0.170028 0.123533i
\(55\) −1.36743 + 5.88196i −0.184384 + 0.793124i
\(56\) 0.809017 0.587785i 0.108109 0.0785461i
\(57\) 0.732609 0.0970364
\(58\) 7.07711 5.14182i 0.929271 0.675155i
\(59\) −0.278337 0.856632i −0.0362363 0.111524i 0.931302 0.364247i \(-0.118674\pi\)
−0.967539 + 0.252723i \(0.918674\pi\)
\(60\) −0.226641 0.536209i −0.0292592 0.0692243i
\(61\) −4.23509 + 13.0343i −0.542247 + 1.66887i 0.185199 + 0.982701i \(0.440707\pi\)
−0.727446 + 0.686164i \(0.759293\pi\)
\(62\) 0.641634 + 1.97475i 0.0814877 + 0.250793i
\(63\) −0.906107 2.78871i −0.114159 0.351344i
\(64\) 0.309017 0.951057i 0.0386271 0.118882i
\(65\) 0.636721 + 1.50642i 0.0789755 + 0.186848i
\(66\) −0.217266 0.668675i −0.0267436 0.0823083i
\(67\) 7.07116 5.13750i 0.863879 0.627645i −0.0650583 0.997881i \(-0.520723\pi\)
0.928938 + 0.370236i \(0.120723\pi\)
\(68\) −5.60755 −0.680015
\(69\) −1.43221 + 1.04056i −0.172418 + 0.125269i
\(70\) 0.506334 2.17799i 0.0605185 0.260319i
\(71\) −4.83843 3.51533i −0.574216 0.417192i 0.262418 0.964954i \(-0.415480\pi\)
−0.836634 + 0.547762i \(0.815480\pi\)
\(72\) −2.37222 1.72352i −0.279569 0.203118i
\(73\) −0.619148 + 1.90554i −0.0724658 + 0.223027i −0.980729 0.195372i \(-0.937409\pi\)
0.908263 + 0.418399i \(0.137409\pi\)
\(74\) −3.21837 −0.374128
\(75\) −1.16821 0.574202i −0.134894 0.0663031i
\(76\) 2.81404 0.322792
\(77\) 0.834544 2.56846i 0.0951051 0.292704i
\(78\) −0.154047 0.111921i −0.0174424 0.0126726i
\(79\) −11.8160 8.58481i −1.32940 0.965866i −0.999763 0.0217586i \(-0.993073\pi\)
−0.329637 0.944108i \(-0.606927\pi\)
\(80\) −0.870556 2.05964i −0.0973311 0.230275i
\(81\) −6.79137 + 4.93422i −0.754597 + 0.548247i
\(82\) 0.111572 0.0123210
\(83\) 7.00971 5.09285i 0.769415 0.559013i −0.132368 0.991201i \(-0.542258\pi\)
0.901784 + 0.432188i \(0.142258\pi\)
\(84\) 0.0804497 + 0.247599i 0.00877778 + 0.0270152i
\(85\) −9.47575 + 8.21176i −1.02779 + 0.890690i
\(86\) 0.410904 1.26463i 0.0443089 0.136369i
\(87\) 0.703757 + 2.16594i 0.0754507 + 0.232213i
\(88\) −0.834544 2.56846i −0.0889627 0.273799i
\(89\) −3.82966 + 11.7865i −0.405943 + 1.24936i 0.514163 + 0.857693i \(0.328103\pi\)
−0.920106 + 0.391671i \(0.871897\pi\)
\(90\) −6.53256 + 0.561469i −0.688593 + 0.0591841i
\(91\) −0.226014 0.695599i −0.0236927 0.0729186i
\(92\) −5.50130 + 3.99693i −0.573550 + 0.416708i
\(93\) −0.540564 −0.0560539
\(94\) 1.23733 0.898974i 0.127621 0.0927221i
\(95\) 4.75522 4.12091i 0.487876 0.422797i
\(96\) 0.210620 + 0.153024i 0.0214963 + 0.0156180i
\(97\) 11.0243 + 8.00962i 1.11935 + 0.813254i 0.984110 0.177559i \(-0.0568200\pi\)
0.135238 + 0.990813i \(0.456820\pi\)
\(98\) −0.309017 + 0.951057i −0.0312154 + 0.0960712i
\(99\) −7.91888 −0.795878
\(100\) −4.48725 2.20558i −0.448725 0.220558i
\(101\) 1.16599 0.116021 0.0580104 0.998316i \(-0.481524\pi\)
0.0580104 + 0.998316i \(0.481524\pi\)
\(102\) 0.451125 1.38842i 0.0446681 0.137474i
\(103\) −7.26052 5.27508i −0.715400 0.519769i 0.169511 0.985528i \(-0.445781\pi\)
−0.884911 + 0.465760i \(0.845781\pi\)
\(104\) −0.591712 0.429904i −0.0580221 0.0421556i
\(105\) 0.498532 + 0.300586i 0.0486518 + 0.0293342i
\(106\) 1.73372 1.25962i 0.168394 0.122345i
\(107\) 12.0149 1.16152 0.580760 0.814075i \(-0.302755\pi\)
0.580760 + 0.814075i \(0.302755\pi\)
\(108\) 1.24944 0.907775i 0.120228 0.0873507i
\(109\) 0.178310 + 0.548782i 0.0170790 + 0.0525638i 0.959233 0.282617i \(-0.0912026\pi\)
−0.942154 + 0.335181i \(0.891203\pi\)
\(110\) −5.17152 3.11813i −0.493085 0.297302i
\(111\) 0.258917 0.796864i 0.0245753 0.0756350i
\(112\) 0.309017 + 0.951057i 0.0291994 + 0.0898664i
\(113\) 2.00420 + 6.16830i 0.188539 + 0.580265i 0.999991 0.00415434i \(-0.00132237\pi\)
−0.811452 + 0.584419i \(0.801322\pi\)
\(114\) −0.226389 + 0.696752i −0.0212032 + 0.0652568i
\(115\) −3.44306 + 14.8103i −0.321067 + 1.38106i
\(116\) 2.70322 + 8.31965i 0.250987 + 0.772460i
\(117\) −1.73503 + 1.26057i −0.160404 + 0.116540i
\(118\) 0.900716 0.0829177
\(119\) 4.53660 3.29603i 0.415869 0.302147i
\(120\) 0.580001 0.0498507i 0.0529466 0.00455072i
\(121\) 2.99865 + 2.17865i 0.272604 + 0.198059i
\(122\) −11.0876 8.05561i −1.00382 0.729321i
\(123\) −0.00897590 + 0.0276250i −0.000809329 + 0.00249086i
\(124\) −2.07637 −0.186464
\(125\) −10.8125 + 2.84415i −0.967102 + 0.254389i
\(126\) 2.93222 0.261223
\(127\) −1.55635 + 4.78994i −0.138103 + 0.425038i −0.996060 0.0886840i \(-0.971734\pi\)
0.857956 + 0.513722i \(0.171734\pi\)
\(128\) 0.809017 + 0.587785i 0.0715077 + 0.0519534i
\(129\) 0.280064 + 0.203478i 0.0246583 + 0.0179153i
\(130\) −1.62944 + 0.140050i −0.142912 + 0.0122832i
\(131\) 1.92159 1.39612i 0.167890 0.121980i −0.500667 0.865640i \(-0.666912\pi\)
0.668558 + 0.743660i \(0.266912\pi\)
\(132\) 0.703087 0.0611959
\(133\) −2.27661 + 1.65405i −0.197407 + 0.143424i
\(134\) 2.70094 + 8.31264i 0.233326 + 0.718103i
\(135\) 0.781982 3.36368i 0.0673023 0.289499i
\(136\) 1.73283 5.33309i 0.148589 0.457309i
\(137\) −6.30161 19.3944i −0.538383 1.65697i −0.736224 0.676738i \(-0.763393\pi\)
0.197841 0.980234i \(-0.436607\pi\)
\(138\) −0.547056 1.68367i −0.0465685 0.143323i
\(139\) 6.52800 20.0911i 0.553698 1.70411i −0.145659 0.989335i \(-0.546530\pi\)
0.699357 0.714772i \(-0.253470\pi\)
\(140\) 1.91492 + 1.15459i 0.161840 + 0.0975804i
\(141\) 0.123042 + 0.378684i 0.0103620 + 0.0318909i
\(142\) 4.83843 3.51533i 0.406032 0.295000i
\(143\) −1.97524 −0.165178
\(144\) 2.37222 1.72352i 0.197685 0.143626i
\(145\) 16.7513 + 10.1001i 1.39112 + 0.838767i
\(146\) −1.62095 1.17769i −0.134151 0.0974663i
\(147\) −0.210620 0.153024i −0.0173716 0.0126212i
\(148\) 0.994531 3.06085i 0.0817499 0.251600i
\(149\) 18.9517 1.55258 0.776292 0.630374i \(-0.217098\pi\)
0.776292 + 0.630374i \(0.217098\pi\)
\(150\) 0.907096 0.933600i 0.0740641 0.0762281i
\(151\) 15.6926 1.27704 0.638521 0.769604i \(-0.279546\pi\)
0.638521 + 0.769604i \(0.279546\pi\)
\(152\) −0.869586 + 2.67631i −0.0705327 + 0.217077i
\(153\) −13.3023 9.66470i −1.07543 0.781345i
\(154\) 2.18487 + 1.58740i 0.176061 + 0.127916i
\(155\) −3.50870 + 3.04067i −0.281825 + 0.244232i
\(156\) 0.154047 0.111921i 0.0123336 0.00896089i
\(157\) 14.1393 1.12844 0.564220 0.825624i \(-0.309177\pi\)
0.564220 + 0.825624i \(0.309177\pi\)
\(158\) 11.8160 8.58481i 0.940028 0.682971i
\(159\) 0.172404 + 0.530604i 0.0136725 + 0.0420796i
\(160\) 2.22785 0.191483i 0.176127 0.0151380i
\(161\) 2.10131 6.46716i 0.165606 0.509684i
\(162\) −2.59407 7.98374i −0.203810 0.627262i
\(163\) 6.07451 + 18.6954i 0.475793 + 1.46434i 0.844886 + 0.534947i \(0.179668\pi\)
−0.369093 + 0.929392i \(0.620332\pi\)
\(164\) −0.0344775 + 0.106111i −0.00269224 + 0.00828587i
\(165\) 1.18809 1.02961i 0.0924928 0.0801550i
\(166\) 2.67747 + 8.24041i 0.207812 + 0.639580i
\(167\) 8.32894 6.05133i 0.644513 0.468266i −0.216885 0.976197i \(-0.569590\pi\)
0.861398 + 0.507931i \(0.169590\pi\)
\(168\) −0.260341 −0.0200857
\(169\) 10.0844 7.32678i 0.775727 0.563598i
\(170\) −4.88168 11.5495i −0.374408 0.885810i
\(171\) 6.67551 + 4.85004i 0.510489 + 0.370892i
\(172\) 1.07576 + 0.781585i 0.0820259 + 0.0595953i
\(173\) −6.86835 + 21.1386i −0.522191 + 1.60714i 0.247614 + 0.968859i \(0.420354\pi\)
−0.769805 + 0.638279i \(0.779646\pi\)
\(174\) −2.27741 −0.172650
\(175\) 4.92667 0.853190i 0.372421 0.0644951i
\(176\) 2.70064 0.203569
\(177\) −0.0724624 + 0.223016i −0.00544660 + 0.0167629i
\(178\) −10.0262 7.28444i −0.751493 0.545992i
\(179\) −13.3579 9.70512i −0.998420 0.725394i −0.0366711 0.999327i \(-0.511675\pi\)
−0.961749 + 0.273933i \(0.911675\pi\)
\(180\) 1.48468 6.38634i 0.110662 0.476010i
\(181\) −16.2060 + 11.7743i −1.20458 + 0.875179i −0.994727 0.102554i \(-0.967299\pi\)
−0.209853 + 0.977733i \(0.567299\pi\)
\(182\) 0.731396 0.0542147
\(183\) 2.88655 2.09720i 0.213380 0.155030i
\(184\) −2.10131 6.46716i −0.154911 0.476766i
\(185\) −2.80177 6.62870i −0.205990 0.487351i
\(186\) 0.167044 0.514107i 0.0122482 0.0376962i
\(187\) −4.67975 14.4028i −0.342217 1.05324i
\(188\) 0.472618 + 1.45457i 0.0344692 + 0.106085i
\(189\) −0.477246 + 1.46881i −0.0347145 + 0.106840i
\(190\) 2.44978 + 5.79592i 0.177725 + 0.420480i
\(191\) 2.89646 + 8.91438i 0.209580 + 0.645022i 0.999494 + 0.0318040i \(0.0101252\pi\)
−0.789914 + 0.613218i \(0.789875\pi\)
\(192\) −0.210620 + 0.153024i −0.0152002 + 0.0110436i
\(193\) 13.6766 0.984466 0.492233 0.870463i \(-0.336181\pi\)
0.492233 + 0.870463i \(0.336181\pi\)
\(194\) −11.0243 + 8.00962i −0.791499 + 0.575058i
\(195\) 0.0964122 0.414715i 0.00690422 0.0296984i
\(196\) −0.809017 0.587785i −0.0577869 0.0419847i
\(197\) 13.3810 + 9.72185i 0.953355 + 0.692653i 0.951598 0.307345i \(-0.0994407\pi\)
0.00175716 + 0.999998i \(0.499441\pi\)
\(198\) 2.44707 7.53131i 0.173906 0.535227i
\(199\) 21.5458 1.52734 0.763671 0.645606i \(-0.223395\pi\)
0.763671 + 0.645606i \(0.223395\pi\)
\(200\) 3.48427 3.58607i 0.246375 0.253573i
\(201\) −2.27549 −0.160501
\(202\) −0.360312 + 1.10893i −0.0253515 + 0.0780238i
\(203\) −7.07711 5.14182i −0.496716 0.360885i
\(204\) 1.18106 + 0.858091i 0.0826908 + 0.0600784i
\(205\) 0.0971292 + 0.229798i 0.00678380 + 0.0160498i
\(206\) 7.26052 5.27508i 0.505864 0.367532i
\(207\) −19.9390 −1.38586
\(208\) 0.591712 0.429904i 0.0410279 0.0298085i
\(209\) 2.34844 + 7.22775i 0.162445 + 0.499954i
\(210\) −0.439929 + 0.381246i −0.0303580 + 0.0263085i
\(211\) 3.68341 11.3364i 0.253576 0.780427i −0.740531 0.672023i \(-0.765426\pi\)
0.994107 0.108405i \(-0.0345742\pi\)
\(212\) 0.662223 + 2.03811i 0.0454817 + 0.139978i
\(213\) 0.481140 + 1.48080i 0.0329672 + 0.101462i
\(214\) −3.71280 + 11.4268i −0.253802 + 0.781121i
\(215\) 2.96240 0.254617i 0.202034 0.0173647i
\(216\) 0.477246 + 1.46881i 0.0324724 + 0.0999399i
\(217\) 1.67982 1.22046i 0.114034 0.0828503i
\(218\) −0.577024 −0.0390810
\(219\) 0.422000 0.306601i 0.0285161 0.0207182i
\(220\) 4.56360 3.95485i 0.307678 0.266636i
\(221\) −3.31805 2.41071i −0.223196 0.162162i
\(222\) 0.677853 + 0.492489i 0.0454945 + 0.0330537i
\(223\) −1.65289 + 5.08707i −0.110686 + 0.340656i −0.991023 0.133693i \(-0.957316\pi\)
0.880337 + 0.474349i \(0.157316\pi\)
\(224\) −1.00000 −0.0668153
\(225\) −6.84339 12.9660i −0.456226 0.864398i
\(226\) −6.48574 −0.431425
\(227\) −1.58935 + 4.89150i −0.105489 + 0.324661i −0.989845 0.142152i \(-0.954598\pi\)
0.884356 + 0.466813i \(0.154598\pi\)
\(228\) −0.592693 0.430617i −0.0392520 0.0285183i
\(229\) 0.935736 + 0.679852i 0.0618352 + 0.0449259i 0.618273 0.785963i \(-0.287832\pi\)
−0.556438 + 0.830889i \(0.687832\pi\)
\(230\) −13.0214 7.85117i −0.858608 0.517691i
\(231\) −0.568809 + 0.413264i −0.0374249 + 0.0271908i
\(232\) −8.74779 −0.574321
\(233\) 4.87967 3.54529i 0.319678 0.232259i −0.416360 0.909200i \(-0.636695\pi\)
0.736038 + 0.676940i \(0.236695\pi\)
\(234\) −0.662723 2.03965i −0.0433236 0.133336i
\(235\) 2.92873 + 1.76585i 0.191049 + 0.115192i
\(236\) −0.278337 + 0.856632i −0.0181182 + 0.0557620i
\(237\) 1.17500 + 3.61626i 0.0763242 + 0.234902i
\(238\) 1.73283 + 5.33309i 0.112322 + 0.345693i
\(239\) 1.66827 5.13442i 0.107912 0.332118i −0.882491 0.470329i \(-0.844135\pi\)
0.990403 + 0.138211i \(0.0441352\pi\)
\(240\) −0.131819 + 0.567019i −0.00850890 + 0.0366009i
\(241\) −5.16692 15.9021i −0.332830 1.02435i −0.967781 0.251794i \(-0.918980\pi\)
0.634951 0.772553i \(-0.281020\pi\)
\(242\) −2.99865 + 2.17865i −0.192760 + 0.140049i
\(243\) 6.81865 0.437417
\(244\) 11.0876 8.05561i 0.709811 0.515708i
\(245\) −2.22785 + 0.191483i −0.142332 + 0.0122334i
\(246\) −0.0234992 0.0170732i −0.00149825 0.00108855i
\(247\) 1.66510 + 1.20977i 0.105948 + 0.0769756i
\(248\) 0.641634 1.97475i 0.0407438 0.125397i
\(249\) −2.25572 −0.142950
\(250\) 0.636303 11.1622i 0.0402434 0.705961i
\(251\) −5.57003 −0.351577 −0.175789 0.984428i \(-0.556248\pi\)
−0.175789 + 0.984428i \(0.556248\pi\)
\(252\) −0.906107 + 2.78871i −0.0570794 + 0.175672i
\(253\) −14.8570 10.7943i −0.934054 0.678630i
\(254\) −4.07457 2.96035i −0.255661 0.185749i
\(255\) 3.25238 0.279540i 0.203672 0.0175055i
\(256\) −0.809017 + 0.587785i −0.0505636 + 0.0367366i
\(257\) −8.63967 −0.538928 −0.269464 0.963010i \(-0.586847\pi\)
−0.269464 + 0.963010i \(0.586847\pi\)
\(258\) −0.280064 + 0.203478i −0.0174360 + 0.0126680i
\(259\) 0.994531 + 3.06085i 0.0617971 + 0.190192i
\(260\) 0.370331 1.59297i 0.0229669 0.0987919i
\(261\) −7.92644 + 24.3951i −0.490634 + 1.51002i
\(262\) 0.733984 + 2.25897i 0.0453457 + 0.139560i
\(263\) 8.58388 + 26.4185i 0.529305 + 1.62903i 0.755643 + 0.654984i \(0.227324\pi\)
−0.226338 + 0.974049i \(0.572676\pi\)
\(264\) −0.217266 + 0.668675i −0.0133718 + 0.0411541i
\(265\) 4.10368 + 2.47428i 0.252087 + 0.151994i
\(266\) −0.869586 2.67631i −0.0533177 0.164095i
\(267\) 2.61022 1.89644i 0.159743 0.116060i
\(268\) −8.74043 −0.533907
\(269\) −14.0922 + 10.2386i −0.859214 + 0.624256i −0.927671 0.373399i \(-0.878192\pi\)
0.0684570 + 0.997654i \(0.478192\pi\)
\(270\) 2.95740 + 1.78314i 0.179982 + 0.108519i
\(271\) −7.73173 5.61743i −0.469669 0.341235i 0.327643 0.944802i \(-0.393746\pi\)
−0.797312 + 0.603567i \(0.793746\pi\)
\(272\) 4.53660 + 3.29603i 0.275072 + 0.199851i
\(273\) −0.0588406 + 0.181093i −0.00356120 + 0.0109602i
\(274\) 20.3924 1.23195
\(275\) 1.92014 13.3660i 0.115789 0.806000i
\(276\) 1.77031 0.106560
\(277\) 2.89407 8.90704i 0.173888 0.535172i −0.825693 0.564120i \(-0.809216\pi\)
0.999581 + 0.0289477i \(0.00921563\pi\)
\(278\) 17.0905 + 12.4170i 1.02502 + 0.744722i
\(279\) −4.92561 3.57866i −0.294889 0.214249i
\(280\) −1.68982 + 1.46441i −0.100986 + 0.0875154i
\(281\) 10.8880 7.91060i 0.649524 0.471907i −0.213585 0.976925i \(-0.568514\pi\)
0.863109 + 0.505017i \(0.168514\pi\)
\(282\) −0.398172 −0.0237108
\(283\) −14.0835 + 10.2323i −0.837179 + 0.608246i −0.921581 0.388186i \(-0.873102\pi\)
0.0844023 + 0.996432i \(0.473102\pi\)
\(284\) 1.84812 + 5.68792i 0.109666 + 0.337516i
\(285\) −1.63215 + 0.140282i −0.0966800 + 0.00830958i
\(286\) 0.610383 1.87856i 0.0360927 0.111082i
\(287\) −0.0344775 0.106111i −0.00203514 0.00626353i
\(288\) 0.906107 + 2.78871i 0.0533928 + 0.164326i
\(289\) 4.46362 13.7376i 0.262566 0.808094i
\(290\) −14.7822 + 12.8104i −0.868041 + 0.752251i
\(291\) −1.09627 3.37397i −0.0642645 0.197786i
\(292\) 1.62095 1.17769i 0.0948590 0.0689191i
\(293\) −31.2366 −1.82486 −0.912432 0.409229i \(-0.865798\pi\)
−0.912432 + 0.409229i \(0.865798\pi\)
\(294\) 0.210620 0.153024i 0.0122836 0.00892456i
\(295\) 0.784124 + 1.85516i 0.0456534 + 0.108011i
\(296\) 2.60372 + 1.89171i 0.151338 + 0.109953i
\(297\) 3.37430 + 2.45157i 0.195797 + 0.142255i
\(298\) −5.85640 + 18.0241i −0.339252 + 1.04411i
\(299\) −4.97348 −0.287624
\(300\) 0.607598 + 1.15120i 0.0350797 + 0.0664644i
\(301\) −1.32971 −0.0766433
\(302\) −4.84927 + 14.9245i −0.279044 + 0.858809i
\(303\) −0.245582 0.178426i −0.0141083 0.0102503i
\(304\) −2.27661 1.65405i −0.130572 0.0948663i
\(305\) 6.93932 29.8494i 0.397344 1.70917i
\(306\) 13.3023 9.66470i 0.760443 0.552494i
\(307\) −17.6021 −1.00460 −0.502301 0.864693i \(-0.667513\pi\)
−0.502301 + 0.864693i \(0.667513\pi\)
\(308\) −2.18487 + 1.58740i −0.124494 + 0.0904504i
\(309\) 0.721995 + 2.22207i 0.0410729 + 0.126409i
\(310\) −1.80760 4.27659i −0.102665 0.242894i
\(311\) 9.68153 29.7967i 0.548989 1.68961i −0.162323 0.986738i \(-0.551899\pi\)
0.711312 0.702877i \(-0.248101\pi\)
\(312\) 0.0588406 + 0.181093i 0.00333119 + 0.0102524i
\(313\) 2.64565 + 8.14246i 0.149541 + 0.460239i 0.997567 0.0697152i \(-0.0222090\pi\)
−0.848026 + 0.529954i \(0.822209\pi\)
\(314\) −4.36929 + 13.4473i −0.246573 + 0.758874i
\(315\) 2.55266 + 6.03933i 0.143826 + 0.340278i
\(316\) 4.51330 + 13.8905i 0.253893 + 0.781402i
\(317\) −2.52889 + 1.83734i −0.142036 + 0.103195i −0.656534 0.754296i \(-0.727978\pi\)
0.514498 + 0.857492i \(0.327978\pi\)
\(318\) −0.557910 −0.0312860
\(319\) −19.1128 + 13.8862i −1.07011 + 0.777479i
\(320\) −0.506334 + 2.17799i −0.0283049 + 0.121753i
\(321\) −2.53057 1.83857i −0.141243 0.102619i
\(322\) 5.50130 + 3.99693i 0.306575 + 0.222740i
\(323\) −4.87624 + 15.0075i −0.271321 + 0.835041i
\(324\) 8.39460 0.466367
\(325\) −1.70697 3.23415i −0.0946859 0.179399i
\(326\) −19.6575 −1.08873
\(327\) 0.0464214 0.142870i 0.00256711 0.00790075i
\(328\) −0.0902633 0.0655801i −0.00498396 0.00362106i
\(329\) −1.23733 0.898974i −0.0682163 0.0495620i
\(330\) 0.612076 + 1.44811i 0.0336937 + 0.0797158i
\(331\) −13.2839 + 9.65132i −0.730149 + 0.530484i −0.889611 0.456720i \(-0.849024\pi\)
0.159462 + 0.987204i \(0.449024\pi\)
\(332\) −8.66448 −0.475525
\(333\) 7.63467 5.54692i 0.418378 0.303969i
\(334\) 3.18137 + 9.79126i 0.174077 + 0.535754i
\(335\) −14.7698 + 12.7996i −0.806958 + 0.699317i
\(336\) 0.0804497 0.247599i 0.00438889 0.0135076i
\(337\) 3.09505 + 9.52558i 0.168598 + 0.518892i 0.999283 0.0378506i \(-0.0120511\pi\)
−0.830685 + 0.556742i \(0.812051\pi\)
\(338\) 3.85192 + 11.8550i 0.209517 + 0.644826i
\(339\) 0.521775 1.60586i 0.0283390 0.0872183i
\(340\) 12.4928 1.07375i 0.677517 0.0582321i
\(341\) −1.73282 5.33309i −0.0938377 0.288803i
\(342\) −6.67551 + 4.85004i −0.360970 + 0.262260i
\(343\) 1.00000 0.0539949
\(344\) −1.07576 + 0.781585i −0.0580011 + 0.0421402i
\(345\) 2.99151 2.59247i 0.161057 0.139574i
\(346\) −17.9816 13.0644i −0.966695 0.702345i
\(347\) −22.8947 16.6340i −1.22905 0.892958i −0.232233 0.972660i \(-0.574603\pi\)
−0.996819 + 0.0797019i \(0.974603\pi\)
\(348\) 0.703757 2.16594i 0.0377254 0.116107i
\(349\) 33.4902 1.79269 0.896345 0.443358i \(-0.146213\pi\)
0.896345 + 0.443358i \(0.146213\pi\)
\(350\) −0.710992 + 4.94919i −0.0380041 + 0.264545i
\(351\) 1.12957 0.0602919
\(352\) −0.834544 + 2.56846i −0.0444814 + 0.136900i
\(353\) 3.10479 + 2.25576i 0.165251 + 0.120062i 0.667337 0.744756i \(-0.267434\pi\)
−0.502086 + 0.864818i \(0.667434\pi\)
\(354\) −0.189709 0.137832i −0.0100829 0.00732567i
\(355\) 11.4524 + 6.90516i 0.607833 + 0.366488i
\(356\) 10.0262 7.28444i 0.531386 0.386074i
\(357\) −1.45987 −0.0772646
\(358\) 13.3579 9.70512i 0.705989 0.512931i
\(359\) 4.99045 + 15.3590i 0.263386 + 0.810619i 0.992061 + 0.125759i \(0.0401366\pi\)
−0.728675 + 0.684860i \(0.759863\pi\)
\(360\) 5.61498 + 3.38551i 0.295935 + 0.178432i
\(361\) −3.42427 + 10.5388i −0.180225 + 0.554675i
\(362\) −6.19013 19.0513i −0.325346 1.00131i
\(363\) −0.298190 0.917733i −0.0156509 0.0481685i
\(364\) −0.226014 + 0.695599i −0.0118463 + 0.0364593i
\(365\) 1.01449 4.36383i 0.0531011 0.228413i
\(366\) 1.10257 + 3.39335i 0.0576320 + 0.177373i
\(367\) −29.3266 + 21.3070i −1.53084 + 1.11222i −0.575067 + 0.818106i \(0.695024\pi\)
−0.955771 + 0.294112i \(0.904976\pi\)
\(368\) 6.79998 0.354473
\(369\) −0.264672 + 0.192295i −0.0137783 + 0.0100105i
\(370\) 7.17006 0.616262i 0.372754 0.0320379i
\(371\) −1.73372 1.25962i −0.0900104 0.0653964i
\(372\) 0.437326 + 0.317736i 0.0226743 + 0.0164738i
\(373\) 2.69190 8.28482i 0.139381 0.428972i −0.856864 0.515542i \(-0.827591\pi\)
0.996246 + 0.0865702i \(0.0275907\pi\)
\(374\) 15.1440 0.783076
\(375\) 2.71256 + 1.05554i 0.140076 + 0.0545081i
\(376\) −1.52943 −0.0788741
\(377\) −1.97712 + 6.08496i −0.101827 + 0.313391i
\(378\) −1.24944 0.907775i −0.0642645 0.0466909i
\(379\) 5.10092 + 3.70603i 0.262016 + 0.190366i 0.711036 0.703156i \(-0.248226\pi\)
−0.449019 + 0.893522i \(0.648226\pi\)
\(380\) −6.26927 + 0.538839i −0.321607 + 0.0276419i
\(381\) 1.06078 0.770698i 0.0543452 0.0394841i
\(382\) −9.37313 −0.479571
\(383\) 17.4986 12.7135i 0.894135 0.649627i −0.0428179 0.999083i \(-0.513634\pi\)
0.936953 + 0.349456i \(0.113634\pi\)
\(384\) −0.0804497 0.247599i −0.00410543 0.0126352i
\(385\) −1.36743 + 5.88196i −0.0696905 + 0.299773i
\(386\) −4.22632 + 13.0073i −0.215114 + 0.662052i
\(387\) 1.20486 + 3.70818i 0.0612465 + 0.188497i
\(388\) −4.21091 12.9598i −0.213777 0.657936i
\(389\) −9.20543 + 28.3314i −0.466734 + 1.43646i 0.390055 + 0.920792i \(0.372456\pi\)
−0.856789 + 0.515668i \(0.827544\pi\)
\(390\) 0.364625 + 0.219848i 0.0184635 + 0.0111324i
\(391\) −11.7832 36.2649i −0.595901 1.83400i
\(392\) 0.809017 0.587785i 0.0408615 0.0296876i
\(393\) −0.618367 −0.0311925
\(394\) −13.3810 + 9.72185i −0.674124 + 0.489780i
\(395\) 27.9681 + 16.8631i 1.40723 + 0.848477i
\(396\) 6.40651 + 4.65460i 0.321939 + 0.233903i
\(397\) −7.38762 5.36742i −0.370774 0.269383i 0.386758 0.922181i \(-0.373595\pi\)
−0.757532 + 0.652798i \(0.773595\pi\)
\(398\) −6.65802 + 20.4913i −0.333736 + 1.02713i
\(399\) 0.732609 0.0366763
\(400\) 2.33386 + 4.42189i 0.116693 + 0.221095i
\(401\) −12.8853 −0.643461 −0.321730 0.946831i \(-0.604264\pi\)
−0.321730 + 0.946831i \(0.604264\pi\)
\(402\) 0.703165 2.16412i 0.0350707 0.107936i
\(403\) −1.22861 0.892641i −0.0612017 0.0444656i
\(404\) −0.943309 0.685354i −0.0469314 0.0340976i
\(405\) 14.1854 12.2932i 0.704877 0.610852i
\(406\) 7.07711 5.14182i 0.351231 0.255184i
\(407\) 8.69166 0.430830
\(408\) −1.18106 + 0.858091i −0.0584713 + 0.0424819i
\(409\) 2.74236 + 8.44012i 0.135601 + 0.417337i 0.995683 0.0928188i \(-0.0295877\pi\)
−0.860082 + 0.510156i \(0.829588\pi\)
\(410\) −0.248565 + 0.0213640i −0.0122758 + 0.00105509i
\(411\) −1.64057 + 5.04914i −0.0809231 + 0.249056i
\(412\) 2.77327 + 8.53525i 0.136629 + 0.420502i
\(413\) −0.278337 0.856632i −0.0136961 0.0421521i
\(414\) 6.16150 18.9632i 0.302821 0.931989i
\(415\) −14.6414 + 12.6884i −0.718719 + 0.622847i
\(416\) 0.226014 + 0.695599i 0.0110812 + 0.0341046i
\(417\) −4.44936 + 3.23265i −0.217886 + 0.158304i
\(418\) −7.59971 −0.371714
\(419\) 19.6865 14.3031i 0.961746 0.698750i 0.00819078 0.999966i \(-0.497393\pi\)
0.953556 + 0.301217i \(0.0973928\pi\)
\(420\) −0.226641 0.536209i −0.0110589 0.0261643i
\(421\) −5.40855 3.92954i −0.263597 0.191514i 0.448134 0.893966i \(-0.352089\pi\)
−0.711731 + 0.702452i \(0.752089\pi\)
\(422\) 9.64328 + 7.00626i 0.469428 + 0.341059i
\(423\) −1.38582 + 4.26512i −0.0673810 + 0.207377i
\(424\) −2.14300 −0.104073
\(425\) 19.5382 20.1090i 0.947741 0.975432i
\(426\) −1.55700 −0.0754370
\(427\) −4.23509 + 13.0343i −0.204950 + 0.630772i
\(428\) −9.72023 7.06216i −0.469845 0.341362i
\(429\) 0.416025 + 0.302260i 0.0200859 + 0.0145932i
\(430\) −0.673278 + 2.89609i −0.0324684 + 0.139662i
\(431\) −24.5554 + 17.8405i −1.18279 + 0.859348i −0.992484 0.122377i \(-0.960948\pi\)
−0.190307 + 0.981725i \(0.560948\pi\)
\(432\) −1.54440 −0.0743049
\(433\) 24.7408 17.9752i 1.18897 0.863834i 0.195811 0.980642i \(-0.437266\pi\)
0.993155 + 0.116808i \(0.0372661\pi\)
\(434\) 0.641634 + 1.97475i 0.0307994 + 0.0947909i
\(435\) −1.98261 4.69065i −0.0950588 0.224899i
\(436\) 0.178310 0.548782i 0.00853950 0.0262819i
\(437\) 5.91316 + 18.1988i 0.282865 + 0.870569i
\(438\) 0.161190 + 0.496090i 0.00770193 + 0.0237041i
\(439\) 11.1716 34.3826i 0.533191 1.64099i −0.214334 0.976761i \(-0.568758\pi\)
0.747525 0.664234i \(-0.231242\pi\)
\(440\) 2.35106 + 5.56236i 0.112082 + 0.265175i
\(441\) −0.906107 2.78871i −0.0431479 0.132796i
\(442\) 3.31805 2.41071i 0.157824 0.114666i
\(443\) 39.2156 1.86319 0.931594 0.363500i \(-0.118418\pi\)
0.931594 + 0.363500i \(0.118418\pi\)
\(444\) −0.677853 + 0.492489i −0.0321695 + 0.0233725i
\(445\) 6.27501 26.9918i 0.297464 1.27954i
\(446\) −4.32732 3.14398i −0.204905 0.148872i
\(447\) −3.99161 2.90007i −0.188796 0.137169i
\(448\) 0.309017 0.951057i 0.0145997 0.0449332i
\(449\) −13.8685 −0.654494 −0.327247 0.944939i \(-0.606121\pi\)
−0.327247 + 0.944939i \(0.606121\pi\)
\(450\) 14.4461 2.50174i 0.680995 0.117933i
\(451\) −0.301315 −0.0141884
\(452\) 2.00420 6.16830i 0.0942697 0.290132i
\(453\) −3.30517 2.40135i −0.155290 0.112825i
\(454\) −4.16096 3.02312i −0.195284 0.141882i
\(455\) 0.636721 + 1.50642i 0.0298499 + 0.0706219i
\(456\) 0.592693 0.430617i 0.0277554 0.0201655i
\(457\) −16.6753 −0.780037 −0.390018 0.920807i \(-0.627531\pi\)
−0.390018 + 0.920807i \(0.627531\pi\)
\(458\) −0.935736 + 0.679852i −0.0437241 + 0.0317674i
\(459\) 2.67618 + 8.23642i 0.124913 + 0.384443i
\(460\) 11.4907 9.95797i 0.535759 0.464293i
\(461\) 5.83702 17.9645i 0.271857 0.836690i −0.718177 0.695861i \(-0.755023\pi\)
0.990034 0.140829i \(-0.0449769\pi\)
\(462\) −0.217266 0.668675i −0.0101081 0.0311096i
\(463\) 6.08990 + 18.7428i 0.283022 + 0.871051i 0.986985 + 0.160815i \(0.0514121\pi\)
−0.703963 + 0.710237i \(0.748588\pi\)
\(464\) 2.70322 8.31965i 0.125494 0.386230i
\(465\) 1.20430 0.103509i 0.0558480 0.00480010i
\(466\) 1.86387 + 5.73639i 0.0863420 + 0.265733i
\(467\) 11.5692 8.40555i 0.535361 0.388963i −0.286998 0.957931i \(-0.592657\pi\)
0.822359 + 0.568969i \(0.192657\pi\)
\(468\) 2.14462 0.0991350
\(469\) 7.07116 5.13750i 0.326516 0.237228i
\(470\) −2.58446 + 2.23971i −0.119212 + 0.103310i
\(471\) −2.97802 2.16366i −0.137220 0.0996962i
\(472\) −0.728695 0.529428i −0.0335409 0.0243689i
\(473\) −1.10970 + 3.41532i −0.0510242 + 0.157036i
\(474\) −3.80237 −0.174648
\(475\) −9.80486 + 10.0913i −0.449878 + 0.463022i
\(476\) −5.60755 −0.257021
\(477\) −1.94179 + 5.97620i −0.0889083 + 0.273632i
\(478\) 4.36760 + 3.17325i 0.199769 + 0.145141i
\(479\) 3.36499 + 2.44481i 0.153750 + 0.111706i 0.662001 0.749503i \(-0.269708\pi\)
−0.508250 + 0.861209i \(0.669708\pi\)
\(480\) −0.498532 0.300586i −0.0227548 0.0137198i
\(481\) 1.90435 1.38359i 0.0868308 0.0630863i
\(482\) 16.7205 0.761597
\(483\) −1.43221 + 1.04056i −0.0651679 + 0.0473472i
\(484\) −1.14538 3.52512i −0.0520628 0.160233i
\(485\) −26.0942 15.7333i −1.18488 0.714413i
\(486\) −2.10708 + 6.48492i −0.0955791 + 0.294162i
\(487\) −0.788412 2.42648i −0.0357264 0.109954i 0.931603 0.363477i \(-0.118411\pi\)
−0.967329 + 0.253523i \(0.918411\pi\)
\(488\) 4.23509 + 13.0343i 0.191713 + 0.590033i
\(489\) 1.58144 4.86718i 0.0715153 0.220102i
\(490\) 0.506334 2.17799i 0.0228738 0.0983914i
\(491\) −13.0584 40.1897i −0.589318 1.81373i −0.581190 0.813768i \(-0.697413\pi\)
−0.00812797 0.999967i \(-0.502587\pi\)
\(492\) 0.0234992 0.0170732i 0.00105943 0.000769718i
\(493\) −49.0537 −2.20927
\(494\) −1.66510 + 1.20977i −0.0749164 + 0.0544300i
\(495\) 17.6421 1.51633i 0.792954 0.0681539i
\(496\) 1.67982 + 1.22046i 0.0754262 + 0.0548003i
\(497\) −4.83843 3.51533i −0.217033 0.157684i
\(498\) 0.697054 2.14531i 0.0312358 0.0961338i
\(499\) −14.2790 −0.639214 −0.319607 0.947550i \(-0.603551\pi\)
−0.319607 + 0.947550i \(0.603551\pi\)
\(500\) 10.4193 + 4.05448i 0.465964 + 0.181322i
\(501\) −2.68024 −0.119744
\(502\) 1.72124 5.29742i 0.0768225 0.236435i
\(503\) 7.49721 + 5.44704i 0.334284 + 0.242872i 0.742246 0.670127i \(-0.233760\pi\)
−0.407962 + 0.912999i \(0.633760\pi\)
\(504\) −2.37222 1.72352i −0.105667 0.0767716i
\(505\) −2.59766 + 0.223268i −0.115595 + 0.00993527i
\(506\) 14.8570 10.7943i 0.660476 0.479864i
\(507\) −3.24516 −0.144123
\(508\) 4.07457 2.96035i 0.180780 0.131344i
\(509\) 8.84232 + 27.2139i 0.391929 + 1.20623i 0.931327 + 0.364183i \(0.118652\pi\)
−0.539398 + 0.842051i \(0.681348\pi\)
\(510\) −0.739183 + 3.17958i −0.0327316 + 0.140794i
\(511\) −0.619148 + 1.90554i −0.0273895 + 0.0842963i
\(512\) −0.309017 0.951057i −0.0136568 0.0420312i
\(513\) −1.34299 4.13329i −0.0592943 0.182489i
\(514\) 2.66981 8.21682i 0.117760 0.362428i
\(515\) 17.1855 + 10.3618i 0.757282 + 0.456597i
\(516\) −0.106975 0.329235i −0.00470931 0.0144938i
\(517\) −3.34159 + 2.42781i −0.146963 + 0.106775i
\(518\) −3.21837 −0.141407
\(519\) 4.68133 3.40119i 0.205488 0.149296i
\(520\) 1.40057 + 0.844461i 0.0614189 + 0.0370321i
\(521\) 3.80314 + 2.76314i 0.166619 + 0.121056i 0.667970 0.744188i \(-0.267164\pi\)
−0.501351 + 0.865244i \(0.667164\pi\)
\(522\) −20.7517 15.0770i −0.908276 0.659901i
\(523\) 13.6800 42.1028i 0.598187 1.84103i 0.0600081 0.998198i \(-0.480887\pi\)
0.538178 0.842831i \(-0.319113\pi\)
\(524\) −2.37522 −0.103762
\(525\) −1.16821 0.574202i −0.0509850 0.0250602i
\(526\) −27.7780 −1.21118
\(527\) 3.59799 11.0735i 0.156731 0.482369i
\(528\) −0.568809 0.413264i −0.0247542 0.0179850i
\(529\) −18.8013 13.6599i −0.817448 0.593911i
\(530\) −3.62129 + 3.13824i −0.157299 + 0.136316i
\(531\) −2.13670 + 1.55240i −0.0927247 + 0.0673684i
\(532\) 2.81404 0.122004
\(533\) −0.0660182 + 0.0479651i −0.00285957 + 0.00207760i
\(534\) 0.997015 + 3.06850i 0.0431451 + 0.132787i
\(535\) −26.7674 + 2.30064i −1.15725 + 0.0994652i
\(536\) 2.70094 8.31264i 0.116663 0.359051i
\(537\) 1.32833 + 4.08818i 0.0573217 + 0.176418i
\(538\) −5.38273 16.5663i −0.232066 0.714225i
\(539\) 0.834544 2.56846i 0.0359464 0.110632i
\(540\) −2.60976 + 2.26164i −0.112306 + 0.0973254i
\(541\) −2.39675 7.37642i −0.103044 0.317137i 0.886222 0.463260i \(-0.153320\pi\)
−0.989266 + 0.146123i \(0.953320\pi\)
\(542\) 7.73173 5.61743i 0.332106 0.241289i
\(543\) 5.21506 0.223800
\(544\) −4.53660 + 3.29603i −0.194505 + 0.141316i
\(545\) −0.502331 1.18846i −0.0215175 0.0509082i
\(546\) −0.154047 0.111921i −0.00659259 0.00478980i
\(547\) 4.90000 + 3.56006i 0.209509 + 0.152217i 0.687592 0.726098i \(-0.258668\pi\)
−0.478082 + 0.878315i \(0.658668\pi\)
\(548\) −6.30161 + 19.3944i −0.269191 + 0.828486i
\(549\) 40.1862 1.71510
\(550\) 12.1185 + 5.95648i 0.516733 + 0.253985i
\(551\) 24.6166 1.04870
\(552\) −0.547056 + 1.68367i −0.0232843 + 0.0716616i
\(553\) −11.8160 8.58481i −0.502466 0.365063i
\(554\) 7.57678 + 5.50485i 0.321906 + 0.233879i
\(555\) −0.424243 + 1.82488i −0.0180081 + 0.0774616i
\(556\) −17.0905 + 12.4170i −0.724800 + 0.526598i
\(557\) 13.1792 0.558422 0.279211 0.960230i \(-0.409927\pi\)
0.279211 + 0.960230i \(0.409927\pi\)
\(558\) 4.92561 3.57866i 0.208518 0.151497i
\(559\) 0.300533 + 0.924947i 0.0127112 + 0.0391211i
\(560\) −0.870556 2.05964i −0.0367877 0.0870358i
\(561\) −1.21833 + 3.74963i −0.0514378 + 0.158309i
\(562\) 4.15885 + 12.7996i 0.175431 + 0.539920i
\(563\) 7.28157 + 22.4104i 0.306881 + 0.944484i 0.978968 + 0.204012i \(0.0653981\pi\)
−0.672087 + 0.740472i \(0.734602\pi\)
\(564\) 0.123042 0.378684i 0.00518099 0.0159455i
\(565\) −5.64619 13.3583i −0.237537 0.561988i
\(566\) −5.37943 16.5562i −0.226114 0.695908i
\(567\) −6.79137 + 4.93422i −0.285211 + 0.207218i
\(568\) −5.98063 −0.250942
\(569\) −9.48671 + 6.89250i −0.397704 + 0.288949i −0.768605 0.639724i \(-0.779049\pi\)
0.370901 + 0.928672i \(0.379049\pi\)
\(570\) 0.370945 1.59561i 0.0155372 0.0668328i
\(571\) 36.9131 + 26.8189i 1.54477 + 1.12234i 0.947257 + 0.320476i \(0.103843\pi\)
0.597509 + 0.801862i \(0.296157\pi\)
\(572\) 1.59800 + 1.16102i 0.0668158 + 0.0485445i
\(573\) 0.754066 2.32078i 0.0315016 0.0969518i
\(574\) 0.111572 0.00465691
\(575\) 4.83473 33.6544i 0.201622 1.40348i
\(576\) −2.93222 −0.122176
\(577\) 10.3135 31.7417i 0.429357 1.32143i −0.469403 0.882984i \(-0.655531\pi\)
0.898760 0.438441i \(-0.144469\pi\)
\(578\) 11.6859 + 8.49031i 0.486070 + 0.353150i
\(579\) −2.88058 2.09286i −0.119713 0.0869763i
\(580\) −7.61544 18.0173i −0.316214 0.748129i
\(581\) 7.00971 5.09285i 0.290812 0.211287i
\(582\) 3.54761 0.147053
\(583\) −4.68217 + 3.40179i −0.193915 + 0.140888i
\(584\) 0.619148 + 1.90554i 0.0256205 + 0.0788519i
\(585\) 3.62402 3.14060i 0.149835 0.129848i
\(586\) 9.65265 29.7078i 0.398747 1.22722i
\(587\) 11.6218 + 35.7683i 0.479684 + 1.47632i 0.839535 + 0.543306i \(0.182828\pi\)
−0.359850 + 0.933010i \(0.617172\pi\)
\(588\) 0.0804497 + 0.247599i 0.00331769 + 0.0102108i
\(589\) −1.80558 + 5.55702i −0.0743978 + 0.228973i
\(590\) −2.00666 + 0.172471i −0.0826131 + 0.00710054i
\(591\) −1.33062 4.09523i −0.0547345 0.168455i
\(592\) −2.60372 + 1.89171i −0.107012 + 0.0777488i
\(593\) 25.0124 1.02714 0.513568 0.858049i \(-0.328324\pi\)
0.513568 + 0.858049i \(0.328324\pi\)
\(594\) −3.37430 + 2.45157i −0.138449 + 0.100589i
\(595\) −9.47575 + 8.21176i −0.388468 + 0.336649i
\(596\) −15.3322 11.1395i −0.628033 0.456293i
\(597\) −4.53798 3.29703i −0.185727 0.134939i
\(598\) 1.53689 4.73006i 0.0628481 0.193427i
\(599\) −38.2884 −1.56442 −0.782211 0.623013i \(-0.785908\pi\)
−0.782211 + 0.623013i \(0.785908\pi\)
\(600\) −1.28261 + 0.222120i −0.0523624 + 0.00906802i
\(601\) 19.4622 0.793878 0.396939 0.917845i \(-0.370072\pi\)
0.396939 + 0.917845i \(0.370072\pi\)
\(602\) 0.410904 1.26463i 0.0167472 0.0515425i
\(603\) −20.7342 15.0643i −0.844362 0.613465i
\(604\) −12.6956 9.22386i −0.516575 0.375313i
\(605\) −7.09773 4.27952i −0.288564 0.173987i
\(606\) 0.245582 0.178426i 0.00997608 0.00724804i
\(607\) −37.9683 −1.54108 −0.770542 0.637389i \(-0.780014\pi\)
−0.770542 + 0.637389i \(0.780014\pi\)
\(608\) 2.27661 1.65405i 0.0923285 0.0670806i
\(609\) 0.703757 + 2.16594i 0.0285177 + 0.0877684i
\(610\) 26.2441 + 15.8237i 1.06259 + 0.640681i
\(611\) −0.345671 + 1.06387i −0.0139844 + 0.0430395i
\(612\) 5.08103 + 15.6378i 0.205389 + 0.632121i
\(613\) 12.0138 + 36.9748i 0.485235 + 1.49340i 0.831641 + 0.555314i \(0.187402\pi\)
−0.346406 + 0.938085i \(0.612598\pi\)
\(614\) 5.43933 16.7405i 0.219514 0.675594i
\(615\) 0.0147073 0.0632631i 0.000593055 0.00255102i
\(616\) −0.834544 2.56846i −0.0336247 0.103486i
\(617\) 30.6697 22.2828i 1.23471 0.897073i 0.237480 0.971392i \(-0.423678\pi\)
0.997234 + 0.0743194i \(0.0236784\pi\)
\(618\) −2.33643 −0.0939848
\(619\) −16.6705 + 12.1118i −0.670043 + 0.486815i −0.870040 0.492982i \(-0.835907\pi\)
0.199997 + 0.979797i \(0.435907\pi\)
\(620\) 4.62586 0.397589i 0.185779 0.0159676i
\(621\) 8.49620 + 6.17285i 0.340941 + 0.247708i
\(622\) 25.3466 + 18.4154i 1.01630 + 0.738389i
\(623\) −3.82966 + 11.7865i −0.153432 + 0.472215i
\(624\) −0.190412 −0.00762259
\(625\) 23.5441 8.40677i 0.941765 0.336271i
\(626\) −8.56149 −0.342186
\(627\) 0.611394 1.88168i 0.0244167 0.0751470i
\(628\) −11.4389 8.31088i −0.456464 0.331640i
\(629\) 14.6005 + 10.6079i 0.582158 + 0.422963i
\(630\) −6.53256 + 0.561469i −0.260264 + 0.0223695i
\(631\) 23.8646 17.3386i 0.950033 0.690239i −0.000781579 1.00000i \(-0.500249\pi\)
0.950815 + 0.309760i \(0.100249\pi\)
\(632\) −14.6053 −0.580969
\(633\) −2.51054 + 1.82401i −0.0997850 + 0.0724980i
\(634\) −0.965948 2.97288i −0.0383627 0.118068i
\(635\) 2.55012 10.9693i 0.101198 0.435303i
\(636\) 0.172404 0.530604i 0.00683625 0.0210398i
\(637\) −0.226014 0.695599i −0.00895500 0.0275606i
\(638\) −7.30042 22.4684i −0.289026 0.889532i
\(639\) −5.41909 + 16.6782i −0.214376 + 0.659781i
\(640\) −1.91492 1.15459i −0.0756940 0.0456391i
\(641\) 6.34622 + 19.5317i 0.250661 + 0.771454i 0.994654 + 0.103267i \(0.0329295\pi\)
−0.743993 + 0.668187i \(0.767070\pi\)
\(642\) 2.53057 1.83857i 0.0998737 0.0725625i
\(643\) −3.86432 −0.152394 −0.0761970 0.997093i \(-0.524278\pi\)
−0.0761970 + 0.997093i \(0.524278\pi\)
\(644\) −5.50130 + 3.99693i −0.216781 + 0.157501i
\(645\) −0.662904 0.399693i −0.0261018 0.0157379i
\(646\) −12.7662 9.27516i −0.502278 0.364926i
\(647\) 36.7647 + 26.7111i 1.44537 + 1.05012i 0.986886 + 0.161418i \(0.0516066\pi\)
0.458482 + 0.888704i \(0.348393\pi\)
\(648\) −2.59407 + 7.98374i −0.101905 + 0.313631i
\(649\) −2.43251 −0.0954845
\(650\) 3.60335 0.624020i 0.141335 0.0244761i
\(651\) −0.540564 −0.0211864
\(652\) 6.07451 18.6954i 0.237896 0.732169i
\(653\) −16.5666 12.0364i −0.648303 0.471020i 0.214390 0.976748i \(-0.431224\pi\)
−0.862693 + 0.505729i \(0.831224\pi\)
\(654\) 0.121533 + 0.0882987i 0.00475231 + 0.00345275i
\(655\) −4.01370 + 3.47830i −0.156828 + 0.135909i
\(656\) 0.0902633 0.0655801i 0.00352419 0.00256047i
\(657\) 5.87502 0.229206
\(658\) 1.23733 0.898974i 0.0482362 0.0350456i
\(659\) 2.86152 + 8.80686i 0.111469 + 0.343067i 0.991194 0.132416i \(-0.0422735\pi\)
−0.879725 + 0.475483i \(0.842273\pi\)
\(660\) −1.56638 + 0.134629i −0.0609711 + 0.00524042i
\(661\) 0.829213 2.55205i 0.0322526 0.0992634i −0.933634 0.358228i \(-0.883381\pi\)
0.965887 + 0.258964i \(0.0833812\pi\)
\(662\) −5.07400 15.6162i −0.197207 0.606939i
\(663\) 0.329951 + 1.01549i 0.0128143 + 0.0394382i
\(664\) 2.67747 8.24041i 0.103906 0.319790i
\(665\) 4.75522 4.12091i 0.184400 0.159802i
\(666\) 2.91619 + 8.97510i 0.113000 + 0.347778i
\(667\) −48.1242 + 34.9643i −1.86338 + 1.35382i
\(668\) −10.2951 −0.398331
\(669\) 1.12658 0.818507i 0.0435560 0.0316453i
\(670\) −7.60903 18.0022i −0.293962 0.695485i
\(671\) 29.9436 + 21.7553i 1.15596 + 0.839855i
\(672\) 0.210620 + 0.153024i 0.00812484 + 0.00590304i
\(673\) −4.62329 + 14.2290i −0.178215 + 0.548488i −0.999766 0.0216466i \(-0.993109\pi\)
0.821551 + 0.570135i \(0.193109\pi\)
\(674\) −10.0158 −0.385794
\(675\) −1.09806 + 7.64352i −0.0422642 + 0.294199i
\(676\) −12.4651 −0.479425
\(677\) 3.31610 10.2059i 0.127448 0.392245i −0.866891 0.498498i \(-0.833885\pi\)
0.994339 + 0.106253i \(0.0338853\pi\)
\(678\) 1.36603 + 0.992476i 0.0524619 + 0.0381158i
\(679\) 11.0243 + 8.00962i 0.423074 + 0.307381i
\(680\) −2.83929 + 12.2132i −0.108882 + 0.468353i
\(681\) 1.08327 0.787040i 0.0415109 0.0301594i
\(682\) 5.60754 0.214724
\(683\) 31.7310 23.0539i 1.21415 0.882134i 0.218552 0.975825i \(-0.429867\pi\)
0.995601 + 0.0936909i \(0.0298665\pi\)
\(684\) −2.54982 7.84754i −0.0974948 0.300058i
\(685\) 17.7527 + 42.0012i 0.678298 + 1.60478i
\(686\) −0.309017 + 0.951057i −0.0117983 + 0.0363115i
\(687\) −0.0930508 0.286381i −0.00355011 0.0109261i
\(688\) −0.410904 1.26463i −0.0156656 0.0482136i
\(689\) −0.484348 + 1.49067i −0.0184522 + 0.0567900i
\(690\) 1.54115 + 3.64621i 0.0586707 + 0.138809i
\(691\) 6.31421 + 19.4332i 0.240204 + 0.739272i 0.996388 + 0.0849133i \(0.0270613\pi\)
−0.756184 + 0.654359i \(0.772939\pi\)
\(692\) 17.9816 13.0644i 0.683557 0.496633i
\(693\) −7.91888 −0.300813
\(694\) 22.8947 16.6340i 0.869071 0.631417i
\(695\) −10.6963 + 46.0101i −0.405735 + 1.74526i
\(696\) 1.84246 + 1.33863i 0.0698383 + 0.0507405i
\(697\) −0.506155 0.367743i −0.0191720 0.0139293i
\(698\) −10.3490 + 31.8511i −0.391717 + 1.20558i
\(699\) −1.57027 −0.0593931
\(700\) −4.48725 2.20558i −0.169602 0.0833630i
\(701\) −5.48643 −0.207220 −0.103610 0.994618i \(-0.533039\pi\)
−0.103610 + 0.994618i \(0.533039\pi\)
\(702\) −0.349056 + 1.07428i −0.0131743 + 0.0405462i
\(703\) −7.32696 5.32335i −0.276341 0.200774i
\(704\) −2.18487 1.58740i −0.0823452 0.0598273i
\(705\) −0.346631 0.820092i −0.0130549 0.0308864i
\(706\) −3.10479 + 2.25576i −0.116850 + 0.0848967i
\(707\) 1.16599 0.0438517
\(708\) 0.189709 0.137832i 0.00712970 0.00518003i
\(709\) −9.12091 28.0713i −0.342543 1.05424i −0.962886 0.269908i \(-0.913007\pi\)
0.620343 0.784331i \(-0.286993\pi\)
\(710\) −10.1062 + 8.75811i −0.379279 + 0.328686i
\(711\) −13.2340 + 40.7301i −0.496314 + 1.52750i
\(712\) 3.82966 + 11.7865i 0.143522 + 0.441717i
\(713\) −4.36310 13.4282i −0.163399 0.502892i
\(714\) 0.451125 1.38842i 0.0168829 0.0519604i
\(715\) 4.40055 0.378224i 0.164571 0.0141448i
\(716\) 5.10228 + 15.7032i 0.190681 + 0.586856i
\(717\) −1.13706 + 0.826125i −0.0424644 + 0.0308522i
\(718\) −16.1494 −0.602692
\(719\) −22.8204 + 16.5800i −0.851057 + 0.618329i −0.925437 0.378901i \(-0.876302\pi\)
0.0743803 + 0.997230i \(0.476302\pi\)
\(720\) −4.95493 + 4.29398i −0.184659 + 0.160027i
\(721\) −7.26052 5.27508i −0.270396 0.196454i
\(722\) −8.96487 6.51336i −0.333638 0.242402i
\(723\) −1.34516 + 4.13997i −0.0500270 + 0.153967i
\(724\) 20.0317 0.744472
\(725\) −39.2536 19.2939i −1.45784 0.716559i
\(726\) 0.964962 0.0358131
\(727\) −3.35729 + 10.3327i −0.124515 + 0.383217i −0.993812 0.111072i \(-0.964572\pi\)
0.869298 + 0.494289i \(0.164572\pi\)
\(728\) −0.591712 0.429904i −0.0219303 0.0159333i
\(729\) 18.9380 + 13.7592i 0.701406 + 0.509602i
\(730\) 3.83675 + 2.31334i 0.142005 + 0.0856205i
\(731\) −6.03237 + 4.38277i −0.223115 + 0.162103i
\(732\) −3.56798 −0.131876
\(733\) −8.66463 + 6.29522i −0.320035 + 0.232519i −0.736191 0.676774i \(-0.763377\pi\)
0.416155 + 0.909294i \(0.363377\pi\)
\(734\) −11.2018 34.4755i −0.413465 1.27251i
\(735\) 0.498532 + 0.300586i 0.0183886 + 0.0110873i
\(736\) −2.10131 + 6.46716i −0.0774553 + 0.238383i
\(737\) −7.29428 22.4495i −0.268688 0.826937i
\(738\) −0.101096 0.311141i −0.00372138 0.0114532i
\(739\) −1.06032 + 3.26333i −0.0390045 + 0.120044i −0.968663 0.248379i \(-0.920102\pi\)
0.929658 + 0.368423i \(0.120102\pi\)
\(740\) −1.62957 + 7.00957i −0.0599042 + 0.257677i
\(741\) −0.165580 0.509602i −0.00608272 0.0187207i
\(742\) 1.73372 1.25962i 0.0636470 0.0462422i
\(743\) 34.3350 1.25963 0.629815 0.776746i \(-0.283131\pi\)
0.629815 + 0.776746i \(0.283131\pi\)
\(744\) −0.437326 + 0.317736i −0.0160331 + 0.0116488i
\(745\) −42.2216 + 3.62892i −1.54688 + 0.132953i
\(746\) 7.04749 + 5.12030i 0.258027 + 0.187467i
\(747\) −20.5540 14.9334i −0.752032 0.546384i
\(748\) −4.67975 + 14.4028i −0.171108 + 0.526618i
\(749\) 12.0149 0.439014
\(750\) −1.84211 + 2.25362i −0.0672644 + 0.0822905i
\(751\) 19.4311 0.709050 0.354525 0.935046i \(-0.384643\pi\)
0.354525 + 0.935046i \(0.384643\pi\)
\(752\) 0.472618 1.45457i 0.0172346 0.0530427i
\(753\) 1.17316 + 0.852351i 0.0427524 + 0.0310614i
\(754\) −5.17618 3.76071i −0.188505 0.136957i
\(755\) −34.9607 + 3.00485i −1.27235 + 0.109358i
\(756\) 1.24944 0.907775i 0.0454419 0.0330155i
\(757\) 14.5445 0.528627 0.264314 0.964437i \(-0.414855\pi\)
0.264314 + 0.964437i \(0.414855\pi\)
\(758\) −5.10092 + 3.70603i −0.185274 + 0.134609i
\(759\) 1.47740 + 4.54698i 0.0536263 + 0.165045i
\(760\) 1.42484 6.12894i 0.0516845 0.222320i
\(761\) −13.0158 + 40.0585i −0.471823 + 1.45212i 0.378373 + 0.925653i \(0.376484\pi\)
−0.850195 + 0.526467i \(0.823516\pi\)
\(762\) 0.405180 + 1.24702i 0.0146781 + 0.0451746i
\(763\) 0.178310 + 0.548782i 0.00645526 + 0.0198672i
\(764\) 2.89646 8.91438i 0.104790 0.322511i
\(765\) 31.4863 + 18.9844i 1.13839 + 0.686382i
\(766\) 6.68386 + 20.5708i 0.241498 + 0.743253i
\(767\) −0.532965 + 0.387222i −0.0192442 + 0.0139818i
\(768\) 0.260341 0.00939424
\(769\) −3.20947 + 2.33182i −0.115737 + 0.0840875i −0.644148 0.764901i \(-0.722788\pi\)
0.528411 + 0.848988i \(0.322788\pi\)
\(770\) −5.17152 3.11813i −0.186369 0.112369i
\(771\) 1.81969 + 1.32208i 0.0655345 + 0.0476136i
\(772\) −11.0646 8.03893i −0.398225 0.289327i
\(773\) 9.56034 29.4237i 0.343861 1.05830i −0.618329 0.785919i \(-0.712190\pi\)
0.962190 0.272377i \(-0.0878099\pi\)
\(774\) −3.89901 −0.140147
\(775\) 7.23464 7.44602i 0.259876 0.267469i
\(776\) 13.6268 0.489173
\(777\) 0.258917 0.796864i 0.00928859 0.0285873i
\(778\) −24.1001 17.5098i −0.864032 0.627756i
\(779\) 0.254004 + 0.184545i 0.00910065 + 0.00661201i
\(780\) −0.321763 + 0.278842i −0.0115210 + 0.00998415i
\(781\) −13.0669 + 9.49364i −0.467569 + 0.339709i
\(782\) 38.1312 1.36357
\(783\) 10.9299 7.94103i 0.390602 0.283789i
\(784\) 0.309017 + 0.951057i 0.0110363 + 0.0339663i
\(785\) −31.5003 + 2.70743i −1.12430 + 0.0966324i
\(786\) 0.191086 0.588102i 0.00681580 0.0209769i
\(787\) −6.06574 18.6684i −0.216220 0.665458i −0.999065 0.0432401i \(-0.986232\pi\)
0.782844 0.622217i \(-0.213768\pi\)
\(788\) −5.11108 15.7303i −0.182075 0.560368i
\(789\) 2.23473 6.87780i 0.0795586 0.244856i
\(790\) −24.6804 + 21.3882i −0.878090 + 0.760960i
\(791\) 2.00420 + 6.16830i 0.0712612 + 0.219320i
\(792\) −6.40651 + 4.65460i −0.227645 + 0.165394i
\(793\) 10.0238 0.355956
\(794\) 7.38762 5.36742i 0.262177 0.190483i
\(795\) −0.485692 1.14910i −0.0172257 0.0407542i
\(796\) −17.4309 12.6643i −0.617823 0.448874i
\(797\) −11.1866 8.12753i −0.396249 0.287892i 0.371762 0.928328i \(-0.378754\pi\)
−0.768011 + 0.640436i \(0.778754\pi\)
\(798\) −0.226389 + 0.696752i −0.00801407 + 0.0246648i
\(799\) −8.57632 −0.303408
\(800\) −4.92667 + 0.853190i −0.174184 + 0.0301648i
\(801\) 36.3391 1.28398
\(802\) 3.98177 12.2546i 0.140601 0.432726i
\(803\) 4.37761 + 3.18052i 0.154482 + 0.112238i
\(804\) 1.84091 + 1.33750i 0.0649239 + 0.0471700i
\(805\) −3.44306 + 14.8103i −0.121352 + 0.521993i
\(806\) 1.22861 0.892641i 0.0432761 0.0314419i
\(807\) 4.53484 0.159634
\(808\) 0.943309 0.685354i 0.0331855 0.0241107i
\(809\) 1.54385 + 4.75147i 0.0542788 + 0.167053i 0.974521 0.224296i \(-0.0720084\pi\)
−0.920242 + 0.391349i \(0.872008\pi\)
\(810\) 7.30796 + 17.2899i 0.256776 + 0.607505i
\(811\) 8.51270 26.1994i 0.298921 0.919986i −0.682954 0.730461i \(-0.739305\pi\)
0.981876 0.189525i \(-0.0606947\pi\)
\(812\) 2.70322 + 8.31965i 0.0948643 + 0.291962i
\(813\) 0.768854 + 2.36629i 0.0269649 + 0.0829894i
\(814\) −2.68587 + 8.26626i −0.0941398 + 0.289732i
\(815\) −17.1130 40.4875i −0.599441 1.41822i
\(816\) −0.451125 1.38842i −0.0157925 0.0486045i
\(817\) 3.02723 2.19941i 0.105909 0.0769476i
\(818\) −8.87447 −0.310288
\(819\) −1.73503 + 1.26057i −0.0606269 + 0.0440480i
\(820\) 0.0564925 0.243001i 0.00197280 0.00848597i
\(821\) −5.75439 4.18081i −0.200829 0.145911i 0.482825 0.875717i \(-0.339611\pi\)
−0.683655 + 0.729806i \(0.739611\pi\)
\(822\) −4.29505 3.12054i −0.149807 0.108841i
\(823\) −7.47445 + 23.0040i −0.260543 + 0.801868i 0.732144 + 0.681150i \(0.238520\pi\)
−0.992687 + 0.120718i \(0.961480\pi\)
\(824\) −8.97449 −0.312641
\(825\) −2.44974 + 2.52132i −0.0852891 + 0.0877810i
\(826\) 0.900716 0.0313399
\(827\) −7.91953 + 24.3738i −0.275389 + 0.847560i 0.713727 + 0.700424i \(0.247006\pi\)
−0.989116 + 0.147137i \(0.952994\pi\)
\(828\) 16.1310 + 11.7199i 0.560592 + 0.407294i
\(829\) −29.4937 21.4284i −1.02436 0.744239i −0.0571855 0.998364i \(-0.518213\pi\)
−0.967171 + 0.254125i \(0.918213\pi\)
\(830\) −7.54291 17.8457i −0.261818 0.619435i
\(831\) −1.97254 + 1.43314i −0.0684268 + 0.0497150i
\(832\) −0.731396 −0.0253566
\(833\) 4.53660 3.29603i 0.157184 0.114201i
\(834\) −1.69950 5.23054i −0.0588490 0.181119i
\(835\) −17.3969 + 15.0763i −0.602046 + 0.521738i
\(836\) 2.34844 7.22775i 0.0812225 0.249977i
\(837\) 0.990940 + 3.04980i 0.0342519 + 0.105416i
\(838\) 7.51956 + 23.1428i 0.259759 + 0.799455i
\(839\) 0.926913 2.85274i 0.0320006 0.0984877i −0.933780 0.357846i \(-0.883511\pi\)
0.965781 + 0.259359i \(0.0835112\pi\)
\(840\) 0.580001 0.0498507i 0.0200119 0.00172001i
\(841\) 14.6857 + 45.1979i 0.506403 + 1.55855i
\(842\) 5.40855 3.92954i 0.186391 0.135421i
\(843\) −3.50375 −0.120676
\(844\) −9.64328 + 7.00626i −0.331936 + 0.241165i
\(845\) −21.0637 + 18.2540i −0.724614 + 0.627956i
\(846\) −3.62813 2.63599i −0.124738 0.0906272i
\(847\) 2.99865 + 2.17865i 0.103035 + 0.0748592i
\(848\) 0.662223 2.03811i 0.0227408 0.0699891i
\(849\) 4.53206 0.155540
\(850\) 13.0872 + 24.7960i 0.448888 + 0.850494i
\(851\) 21.8848 0.750203
\(852\) 0.481140 1.48080i 0.0164836 0.0507312i
\(853\) −27.3931 19.9022i −0.937921 0.681440i 0.00999831 0.999950i \(-0.496817\pi\)
−0.947919 + 0.318511i \(0.896817\pi\)
\(854\) −11.0876 8.05561i −0.379410 0.275657i
\(855\) −15.8008 9.52695i −0.540375 0.325815i
\(856\) 9.72023 7.06216i 0.332231 0.241380i
\(857\) 45.2331 1.54513 0.772566 0.634934i \(-0.218973\pi\)
0.772566 + 0.634934i \(0.218973\pi\)
\(858\) −0.416025 + 0.302260i −0.0142029 + 0.0103190i
\(859\) −5.23613 16.1152i −0.178655 0.549842i 0.821127 0.570746i \(-0.193346\pi\)
−0.999782 + 0.0209034i \(0.993346\pi\)
\(860\) −2.54630 1.53527i −0.0868279 0.0523522i
\(861\) −0.00897590 + 0.0276250i −0.000305898 + 0.000941456i
\(862\) −9.37932 28.8666i −0.319461 0.983200i
\(863\) −8.30245 25.5523i −0.282619 0.869810i −0.987102 0.160090i \(-0.948821\pi\)
0.704484 0.709720i \(-0.251179\pi\)
\(864\) 0.477246 1.46881i 0.0162362 0.0499700i
\(865\) 11.2540 48.4089i 0.382648 1.64595i
\(866\) 9.45013 + 29.0845i 0.321129 + 0.988332i
\(867\) −3.04232 + 2.21037i −0.103322 + 0.0750682i
\(868\) −2.07637 −0.0704767
\(869\) −31.9107 + 23.1845i −1.08250 + 0.786480i
\(870\) 5.07373 0.436084i 0.172016 0.0147846i
\(871\) −5.17182 3.75755i −0.175240 0.127320i
\(872\) 0.466822 + 0.339166i 0.0158086 + 0.0114856i
\(873\) 12.3473 38.0012i 0.417894 1.28614i
\(874\) −19.1354 −0.647265
\(875\) −10.8125 + 2.84415i −0.365530 + 0.0961500i
\(876\) −0.521620 −0.0176239
\(877\) 7.02167 21.6105i 0.237105 0.729734i −0.759730 0.650239i \(-0.774669\pi\)
0.996835 0.0794958i \(-0.0253310\pi\)
\(878\) 29.2476 + 21.2496i 0.987060 + 0.717141i
\(879\) 6.57906 + 4.77997i 0.221906 + 0.161224i
\(880\) −6.01664 + 0.517126i −0.202821 + 0.0174323i
\(881\) −34.1484 + 24.8102i −1.15049 + 0.835878i −0.988546 0.150922i \(-0.951776\pi\)
−0.161942 + 0.986800i \(0.551776\pi\)
\(882\) 2.93222 0.0987331
\(883\) −13.5242 + 9.82590i −0.455125 + 0.330668i −0.791616 0.611019i \(-0.790760\pi\)
0.336491 + 0.941687i \(0.390760\pi\)
\(884\) 1.26738 + 3.90060i 0.0426267 + 0.131192i
\(885\) 0.118732 0.510723i 0.00399113 0.0171678i
\(886\) −12.1183 + 37.2962i −0.407122 + 1.25299i
\(887\) −10.1314 31.1813i −0.340179 1.04696i −0.964114 0.265488i \(-0.914467\pi\)
0.623935 0.781476i \(-0.285533\pi\)
\(888\) −0.258917 0.796864i −0.00868868 0.0267410i
\(889\) −1.55635 + 4.78994i −0.0521982 + 0.160649i
\(890\) 23.7317 + 14.3088i 0.795488 + 0.479633i
\(891\) 7.00566 + 21.5612i 0.234699 + 0.722328i
\(892\) 4.32732 3.14398i 0.144889 0.105268i
\(893\) 4.30386 0.144023
\(894\) 3.99161 2.90007i 0.133499 0.0969929i
\(895\) 31.6179 + 19.0638i 1.05687 + 0.637232i
\(896\) 0.809017 + 0.587785i 0.0270274 + 0.0196365i
\(897\) 1.04751 + 0.761064i 0.0349755 + 0.0254112i
\(898\) 4.28559 13.1897i 0.143012 0.440146i
\(899\) −18.1637 −0.605793
\(900\) −2.08479 + 14.5121i −0.0694929 + 0.483738i
\(901\) −12.0170 −0.400343
\(902\) 0.0931114 0.286567i 0.00310027 0.00954165i
\(903\) 0.280064 + 0.203478i 0.00931994 + 0.00677134i
\(904\) 5.24707 + 3.81222i 0.174515 + 0.126793i
\(905\) 33.8500 29.3347i 1.12521 0.975117i
\(906\) 3.30517 2.40135i 0.109807 0.0797794i
\(907\) 21.2772 0.706499 0.353250 0.935529i \(-0.385077\pi\)
0.353250 + 0.935529i \(0.385077\pi\)
\(908\) 4.16096 3.02312i 0.138086 0.100326i
\(909\) −1.05652 3.25162i −0.0350424 0.107849i
\(910\) −1.62944 + 0.140050i −0.0540156 + 0.00464260i
\(911\) 6.36822 19.5994i 0.210989 0.649356i −0.788425 0.615130i \(-0.789103\pi\)
0.999414 0.0342260i \(-0.0108966\pi\)
\(912\) 0.226389 + 0.696752i 0.00749647 + 0.0230718i
\(913\) −7.23089 22.2544i −0.239307 0.736513i
\(914\) 5.15294 15.8591i 0.170444 0.524573i
\(915\) −6.02924 + 5.22499i −0.199321 + 0.172733i
\(916\) −0.357419 1.10002i −0.0118095 0.0363458i
\(917\) 1.92159 1.39612i 0.0634566 0.0461039i
\(918\) −8.66029 −0.285832
\(919\) 2.40906 1.75028i 0.0794675 0.0577365i −0.547342 0.836909i \(-0.684360\pi\)
0.626810 + 0.779172i \(0.284360\pi\)
\(920\) 5.91976 + 14.0055i 0.195169 + 0.461749i
\(921\) 3.70735 + 2.69354i 0.122161 + 0.0887553i
\(922\) 15.2815 + 11.1027i 0.503270 + 0.365647i
\(923\) −1.35171 + 4.16012i −0.0444919 + 0.136932i
\(924\) 0.703087 0.0231299
\(925\) 7.51121 + 14.2313i 0.246967 + 0.467922i
\(926\) −19.7073 −0.647623
\(927\) −8.13185 + 25.0273i −0.267085 + 0.822003i
\(928\) 7.07711 + 5.14182i 0.232318 + 0.168789i
\(929\) 9.44764 + 6.86412i 0.309967 + 0.225204i 0.731882 0.681431i \(-0.238642\pi\)
−0.421915 + 0.906635i \(0.638642\pi\)
\(930\) −0.273706 + 1.17734i −0.00897518 + 0.0386066i
\(931\) −2.27661 + 1.65405i −0.0746127 + 0.0542093i
\(932\) −6.03160 −0.197572
\(933\) −6.59874 + 4.79427i −0.216033 + 0.156957i
\(934\) 4.41906 + 13.6005i 0.144596 + 0.445021i
\(935\) 13.1837 + 31.1912i 0.431152 + 1.02006i
\(936\) −0.662723 + 2.03965i −0.0216618 + 0.0666681i
\(937\) −9.01087 27.7326i −0.294372 0.905985i −0.983432 0.181280i \(-0.941976\pi\)
0.689059 0.724705i \(-0.258024\pi\)
\(938\) 2.70094 + 8.31264i 0.0881889 + 0.271417i
\(939\) 0.688769 2.11981i 0.0224771 0.0691775i
\(940\) −1.33145 3.15007i −0.0434271 0.102744i
\(941\) −12.3369 37.9692i −0.402173 1.23776i −0.923233 0.384240i \(-0.874463\pi\)
0.521060 0.853520i \(-0.325537\pi\)
\(942\) 2.97802 2.16366i 0.0970292 0.0704959i
\(943\) −0.758684 −0.0247062
\(944\) 0.728695 0.529428i 0.0237170 0.0172314i
\(945\) 0.781982 3.36368i 0.0254379 0.109421i
\(946\) −2.90524 2.11078i −0.0944575 0.0686274i
\(947\) 0.966504 + 0.702207i 0.0314072 + 0.0228186i 0.603378 0.797455i \(-0.293821\pi\)
−0.571971 + 0.820274i \(0.693821\pi\)
\(948\) 1.17500 3.61626i 0.0381621 0.117451i
\(949\) 1.46543 0.0475699
\(950\) −6.56756 12.4434i −0.213080 0.403716i
\(951\) 0.813792 0.0263890
\(952\) 1.73283 5.33309i 0.0561612 0.172847i
\(953\) −23.2771 16.9118i −0.754019 0.547827i 0.143051 0.989715i \(-0.454309\pi\)
−0.897070 + 0.441888i \(0.854309\pi\)
\(954\) −5.08366 3.69350i −0.164590 0.119581i
\(955\) −8.15983 19.3053i −0.264046 0.624705i
\(956\) −4.36760 + 3.17325i −0.141258 + 0.102630i
\(957\) 6.15046 0.198816
\(958\) −3.36499 + 2.44481i −0.108718 + 0.0789881i
\(959\) −6.30161 19.3944i −0.203490 0.626276i
\(960\) 0.439929 0.381246i 0.0141987 0.0123047i
\(961\) −8.24725 + 25.3824i −0.266040 + 0.818788i
\(962\) 0.727396 + 2.23870i 0.0234522 + 0.0721784i
\(963\) −10.8867 33.5060i −0.350821 1.07971i
\(964\) −5.16692 + 15.9021i −0.166415 + 0.512173i
\(965\) −30.4696 + 2.61884i −0.980850 + 0.0843034i
\(966\) −0.547056 1.68367i −0.0176012 0.0541711i
\(967\) 10.8279 7.86691i 0.348201 0.252983i −0.399913 0.916553i \(-0.630960\pi\)
0.748114 + 0.663570i \(0.230960\pi\)
\(968\) 3.70653 0.119133
\(969\) 3.32355 2.41470i 0.106768 0.0775714i
\(970\) 23.0268 19.9552i 0.739347 0.640724i
\(971\) 17.9636 + 13.0513i 0.576478 + 0.418836i 0.837453 0.546510i \(-0.184044\pi\)
−0.260974 + 0.965346i \(0.584044\pi\)
\(972\) −5.51641 4.00790i −0.176939 0.128554i
\(973\) 6.52800 20.0911i 0.209278 0.644092i
\(974\) 2.55135 0.0817507
\(975\) −0.135382 + 0.942386i −0.00433568 + 0.0301805i
\(976\) −13.7050 −0.438687
\(977\) 7.56286 23.2761i 0.241957 0.744668i −0.754165 0.656685i \(-0.771958\pi\)
0.996122 0.0879825i \(-0.0280420\pi\)
\(978\) 4.14027 + 3.00808i 0.132391 + 0.0961879i
\(979\) 27.0771 + 19.6727i 0.865388 + 0.628741i
\(980\) 1.91492 + 1.15459i 0.0611700 + 0.0368819i
\(981\) 1.36883 0.994510i 0.0437032 0.0317523i
\(982\) 42.2579 1.34850
\(983\) −9.99169 + 7.25939i −0.318685 + 0.231538i −0.735614 0.677401i \(-0.763106\pi\)
0.416929 + 0.908939i \(0.363106\pi\)
\(984\) 0.00897590 + 0.0276250i 0.000286141 + 0.000880652i
\(985\) −31.6724 19.0966i −1.00917 0.608470i
\(986\) 15.1584 46.6528i 0.482742 1.48573i
\(987\) 0.123042 + 0.378684i 0.00391646 + 0.0120536i
\(988\) −0.636012 1.95744i −0.0202342 0.0622746i
\(989\) −2.79413 + 8.59946i −0.0888483 + 0.273447i
\(990\) −4.00960 + 17.2472i −0.127433 + 0.548153i
\(991\) 5.82318 + 17.9219i 0.184979 + 0.569308i 0.999948 0.0101969i \(-0.00324584\pi\)
−0.814969 + 0.579505i \(0.803246\pi\)
\(992\) −1.67982 + 1.22046i −0.0533344 + 0.0387497i
\(993\) 4.27474 0.135655
\(994\) 4.83843 3.51533i 0.153466 0.111499i
\(995\) −48.0009 + 4.12565i −1.52173 + 0.130792i
\(996\) 1.82491 + 1.32588i 0.0578246 + 0.0420120i
\(997\) −18.6572 13.5552i −0.590879 0.429299i 0.251751 0.967792i \(-0.418994\pi\)
−0.842630 + 0.538494i \(0.818994\pi\)
\(998\) 4.41244 13.5801i 0.139673 0.429871i
\(999\) −4.97045 −0.157258
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.71.3 20
25.6 even 5 inner 350.2.h.d.281.3 yes 20
25.9 even 10 8750.2.a.x.1.5 10
25.16 even 5 8750.2.a.w.1.6 10
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
350.2.h.d.71.3 20 1.1 even 1 trivial
350.2.h.d.281.3 yes 20 25.6 even 5 inner
8750.2.a.w.1.6 10 25.16 even 5
8750.2.a.x.1.5 10 25.9 even 10