Properties

Label 360.2.bf.b.61.7
Level $360$
Weight $2$
Character 360.61
Analytic conductor $2.875$
Analytic rank $0$
Dimension $92$
CM no
Inner twists $4$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [360,2,Mod(61,360)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(360, base_ring=CyclotomicField(6))
 
chi = DirichletCharacter(H, H._module([0, 3, 4, 0]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("360.61");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 360 = 2^{3} \cdot 3^{2} \cdot 5 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 360.bf (of order \(6\), degree \(2\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(2.87461447277\)
Analytic rank: \(0\)
Dimension: \(92\)
Relative dimension: \(46\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 61.7
Character \(\chi\) \(=\) 360.61
Dual form 360.2.bf.b.301.7

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-1.24962 - 0.662158i) q^{2} +(-0.443022 + 1.67443i) q^{3} +(1.12309 + 1.65489i) q^{4} +(-0.866025 + 0.500000i) q^{5} +(1.66235 - 1.79905i) q^{6} +(2.04026 - 3.53383i) q^{7} +(-0.307637 - 2.81165i) q^{8} +(-2.60746 - 1.48362i) q^{9} +O(q^{10})\) \(q+(-1.24962 - 0.662158i) q^{2} +(-0.443022 + 1.67443i) q^{3} +(1.12309 + 1.65489i) q^{4} +(-0.866025 + 0.500000i) q^{5} +(1.66235 - 1.79905i) q^{6} +(2.04026 - 3.53383i) q^{7} +(-0.307637 - 2.81165i) q^{8} +(-2.60746 - 1.48362i) q^{9} +(1.41328 - 0.0513631i) q^{10} +(0.320151 + 0.184839i) q^{11} +(-3.26856 + 1.14739i) q^{12} +(4.62646 - 2.67109i) q^{13} +(-4.88949 + 3.06496i) q^{14} +(-0.453549 - 1.67161i) q^{15} +(-1.47733 + 3.71719i) q^{16} +2.60955 q^{17} +(2.27594 + 3.58052i) q^{18} +1.88128i q^{19} +(-1.80007 - 0.871631i) q^{20} +(5.01328 + 4.98184i) q^{21} +(-0.277674 - 0.442970i) q^{22} +(4.41270 + 7.64303i) q^{23} +(4.84421 + 0.730503i) q^{24} +(0.500000 - 0.866025i) q^{25} +(-7.55000 + 0.274391i) q^{26} +(3.63939 - 3.70875i) q^{27} +(8.13949 - 0.592413i) q^{28} +(-1.10689 - 0.639061i) q^{29} +(-0.540110 + 2.38920i) q^{30} +(2.07172 + 3.58832i) q^{31} +(4.30746 - 3.66684i) q^{32} +(-0.451336 + 0.454185i) q^{33} +(-3.26095 - 1.72794i) q^{34} +4.08051i q^{35} +(-0.473191 - 5.98131i) q^{36} -3.04014i q^{37} +(1.24570 - 2.35088i) q^{38} +(2.42294 + 8.93006i) q^{39} +(1.67224 + 2.28114i) q^{40} +(-3.81584 - 6.60924i) q^{41} +(-2.96593 - 9.54498i) q^{42} +(3.80708 + 2.19802i) q^{43} +(0.0536703 + 0.737407i) q^{44} +(2.99994 - 0.0188780i) q^{45} +(-0.453300 - 12.4728i) q^{46} +(0.882270 - 1.52814i) q^{47} +(-5.56970 - 4.12048i) q^{48} +(-4.82528 - 8.35764i) q^{49} +(-1.19826 + 0.751122i) q^{50} +(-1.15609 + 4.36953i) q^{51} +(9.61631 + 4.65641i) q^{52} -10.0632i q^{53} +(-7.00363 + 2.22467i) q^{54} -0.369679 q^{55} +(-10.5635 - 4.64934i) q^{56} +(-3.15008 - 0.833446i) q^{57} +(0.960025 + 1.53152i) q^{58} +(1.95366 - 1.12795i) q^{59} +(2.25696 - 2.62795i) q^{60} +(12.1003 + 6.98612i) q^{61} +(-0.212820 - 5.85583i) q^{62} +(-10.5628 + 6.18736i) q^{63} +(-7.81072 + 1.72993i) q^{64} +(-2.67109 + 4.62646i) q^{65} +(0.864739 - 0.268702i) q^{66} +(-1.47978 + 0.854350i) q^{67} +(2.93077 + 4.31853i) q^{68} +(-14.7527 + 4.00276i) q^{69} +(2.70194 - 5.09908i) q^{70} +8.59323 q^{71} +(-3.36927 + 7.78768i) q^{72} -11.9331 q^{73} +(-2.01305 + 3.79901i) q^{74} +(1.22859 + 1.22089i) q^{75} +(-3.11331 + 2.11285i) q^{76} +(1.30638 - 0.754239i) q^{77} +(2.88536 - 12.7635i) q^{78} +(-5.04431 + 8.73700i) q^{79} +(-0.579192 - 3.95784i) q^{80} +(4.59773 + 7.73698i) q^{81} +(0.391987 + 10.7857i) q^{82} +(-1.36095 - 0.785746i) q^{83} +(-2.61401 + 13.8915i) q^{84} +(-2.25994 + 1.30478i) q^{85} +(-3.30196 - 5.26758i) q^{86} +(1.56044 - 1.57029i) q^{87} +(0.421213 - 0.957016i) q^{88} +12.9012 q^{89} +(-3.76128 - 1.96285i) q^{90} -21.7988i q^{91} +(-7.69250 + 15.8864i) q^{92} +(-6.92622 + 1.87925i) q^{93} +(-2.11437 + 1.32538i) q^{94} +(-0.940639 - 1.62923i) q^{95} +(4.23159 + 8.83706i) q^{96} +(0.0450082 - 0.0779566i) q^{97} +(0.495683 + 13.6390i) q^{98} +(-0.560551 - 0.956946i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 92 q + 2 q^{2} - 12 q^{6} - 8 q^{7} + 20 q^{8} + 6 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 92 q + 2 q^{2} - 12 q^{6} - 8 q^{7} + 20 q^{8} + 6 q^{9} + 4 q^{10} + 22 q^{12} - 18 q^{14} - 8 q^{16} + 12 q^{17} - 16 q^{18} - 4 q^{20} - 10 q^{22} + 28 q^{23} + 24 q^{24} + 46 q^{25} - 64 q^{26} - 10 q^{30} + 8 q^{31} - 28 q^{32} - 14 q^{33} - 38 q^{36} - 6 q^{38} - 24 q^{39} + 2 q^{40} - 18 q^{41} + 22 q^{42} - 36 q^{44} + 4 q^{46} - 36 q^{47} - 76 q^{48} - 30 q^{49} - 2 q^{50} + 6 q^{52} + 42 q^{54} + 20 q^{55} - 38 q^{56} - 34 q^{57} + 18 q^{58} - 14 q^{60} + 60 q^{62} - 32 q^{63} - 48 q^{64} + 12 q^{65} + 36 q^{66} + 16 q^{68} + 8 q^{70} - 8 q^{71} + 92 q^{72} - 4 q^{73} + 52 q^{74} + 22 q^{76} + 58 q^{78} + 20 q^{79} - 16 q^{80} + 18 q^{81} - 16 q^{82} + 38 q^{84} - 60 q^{86} - 48 q^{87} - 20 q^{88} - 24 q^{89} - 24 q^{90} + 36 q^{92} - 14 q^{94} - 18 q^{95} - 38 q^{96} - 14 q^{97} - 60 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/360\mathbb{Z}\right)^\times\).

\(n\) \(181\) \(217\) \(271\) \(281\)
\(\chi(n)\) \(-1\) \(1\) \(1\) \(e\left(\frac{2}{3}\right)\)

Coefficient data

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



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.24962 0.662158i −0.883614 0.468217i
\(3\) −0.443022 + 1.67443i −0.255779 + 0.966735i
\(4\) 1.12309 + 1.65489i 0.561546 + 0.827445i
\(5\) −0.866025 + 0.500000i −0.387298 + 0.223607i
\(6\) 1.66235 1.79905i 0.678651 0.734461i
\(7\) 2.04026 3.53383i 0.771144 1.33566i −0.165792 0.986161i \(-0.553018\pi\)
0.936936 0.349500i \(-0.113649\pi\)
\(8\) −0.307637 2.81165i −0.108766 0.994067i
\(9\) −2.60746 1.48362i −0.869155 0.494541i
\(10\) 1.41328 0.0513631i 0.446919 0.0162424i
\(11\) 0.320151 + 0.184839i 0.0965293 + 0.0557312i 0.547488 0.836814i \(-0.315584\pi\)
−0.450958 + 0.892545i \(0.648918\pi\)
\(12\) −3.26856 + 1.14739i −0.943552 + 0.331224i
\(13\) 4.62646 2.67109i 1.28315 0.740827i 0.305727 0.952119i \(-0.401100\pi\)
0.977423 + 0.211292i \(0.0677671\pi\)
\(14\) −4.88949 + 3.06496i −1.30677 + 0.819145i
\(15\) −0.453549 1.67161i −0.117106 0.431609i
\(16\) −1.47733 + 3.71719i −0.369332 + 0.929298i
\(17\) 2.60955 0.632910 0.316455 0.948608i \(-0.397507\pi\)
0.316455 + 0.948608i \(0.397507\pi\)
\(18\) 2.27594 + 3.58052i 0.536445 + 0.843935i
\(19\) 1.88128i 0.431595i 0.976438 + 0.215797i \(0.0692350\pi\)
−0.976438 + 0.215797i \(0.930765\pi\)
\(20\) −1.80007 0.871631i −0.402508 0.194903i
\(21\) 5.01328 + 4.98184i 1.09399 + 1.08713i
\(22\) −0.277674 0.442970i −0.0592003 0.0944415i
\(23\) 4.41270 + 7.64303i 0.920112 + 1.59368i 0.799239 + 0.601013i \(0.205236\pi\)
0.120873 + 0.992668i \(0.461431\pi\)
\(24\) 4.84421 + 0.730503i 0.988820 + 0.149113i
\(25\) 0.500000 0.866025i 0.100000 0.173205i
\(26\) −7.55000 + 0.274391i −1.48068 + 0.0538125i
\(27\) 3.63939 3.70875i 0.700401 0.713750i
\(28\) 8.13949 0.592413i 1.53822 0.111955i
\(29\) −1.10689 0.639061i −0.205543 0.118671i 0.393695 0.919241i \(-0.371197\pi\)
−0.599239 + 0.800571i \(0.704530\pi\)
\(30\) −0.540110 + 2.38920i −0.0986101 + 0.436206i
\(31\) 2.07172 + 3.58832i 0.372091 + 0.644481i 0.989887 0.141858i \(-0.0453075\pi\)
−0.617796 + 0.786339i \(0.711974\pi\)
\(32\) 4.30746 3.66684i 0.761459 0.648213i
\(33\) −0.451336 + 0.454185i −0.0785674 + 0.0790634i
\(34\) −3.26095 1.72794i −0.559248 0.296339i
\(35\) 4.08051i 0.689732i
\(36\) −0.473191 5.98131i −0.0788651 0.996885i
\(37\) 3.04014i 0.499795i −0.968272 0.249898i \(-0.919603\pi\)
0.968272 0.249898i \(-0.0803970\pi\)
\(38\) 1.24570 2.35088i 0.202080 0.381363i
\(39\) 2.42294 + 8.93006i 0.387981 + 1.42995i
\(40\) 1.67224 + 2.28114i 0.264405 + 0.360680i
\(41\) −3.81584 6.60924i −0.595935 1.03219i −0.993414 0.114578i \(-0.963448\pi\)
0.397479 0.917611i \(-0.369885\pi\)
\(42\) −2.96593 9.54498i −0.457652 1.47282i
\(43\) 3.80708 + 2.19802i 0.580575 + 0.335195i 0.761362 0.648327i \(-0.224531\pi\)
−0.180787 + 0.983522i \(0.557864\pi\)
\(44\) 0.0536703 + 0.737407i 0.00809111 + 0.111168i
\(45\) 2.99994 0.0188780i 0.447205 0.00281416i
\(46\) −0.453300 12.4728i −0.0668355 1.83901i
\(47\) 0.882270 1.52814i 0.128692 0.222901i −0.794478 0.607293i \(-0.792255\pi\)
0.923170 + 0.384392i \(0.125589\pi\)
\(48\) −5.56970 4.12048i −0.803918 0.594741i
\(49\) −4.82528 8.35764i −0.689326 1.19395i
\(50\) −1.19826 + 0.751122i −0.169459 + 0.106225i
\(51\) −1.15609 + 4.36953i −0.161885 + 0.611856i
\(52\) 9.61631 + 4.65641i 1.33354 + 0.645728i
\(53\) 10.0632i 1.38229i −0.722715 0.691146i \(-0.757106\pi\)
0.722715 0.691146i \(-0.242894\pi\)
\(54\) −7.00363 + 2.22467i −0.953073 + 0.302739i
\(55\) −0.369679 −0.0498475
\(56\) −10.5635 4.64934i −1.41161 0.621295i
\(57\) −3.15008 0.833446i −0.417238 0.110393i
\(58\) 0.960025 + 1.53152i 0.126057 + 0.201098i
\(59\) 1.95366 1.12795i 0.254345 0.146846i −0.367407 0.930060i \(-0.619754\pi\)
0.621752 + 0.783214i \(0.286421\pi\)
\(60\) 2.25696 2.62795i 0.291372 0.339267i
\(61\) 12.1003 + 6.98612i 1.54929 + 0.894482i 0.998196 + 0.0600366i \(0.0191217\pi\)
0.551091 + 0.834445i \(0.314212\pi\)
\(62\) −0.212820 5.85583i −0.0270281 0.743692i
\(63\) −10.5628 + 6.18736i −1.33078 + 0.779534i
\(64\) −7.81072 + 1.72993i −0.976340 + 0.216241i
\(65\) −2.67109 + 4.62646i −0.331308 + 0.573842i
\(66\) 0.864739 0.268702i 0.106442 0.0330749i
\(67\) −1.47978 + 0.854350i −0.180784 + 0.104375i −0.587661 0.809107i \(-0.699951\pi\)
0.406877 + 0.913483i \(0.366618\pi\)
\(68\) 2.93077 + 4.31853i 0.355408 + 0.523698i
\(69\) −14.7527 + 4.00276i −1.77601 + 0.481876i
\(70\) 2.70194 5.09908i 0.322944 0.609457i
\(71\) 8.59323 1.01983 0.509914 0.860225i \(-0.329677\pi\)
0.509914 + 0.860225i \(0.329677\pi\)
\(72\) −3.36927 + 7.78768i −0.397072 + 0.917787i
\(73\) −11.9331 −1.39666 −0.698329 0.715777i \(-0.746073\pi\)
−0.698329 + 0.715777i \(0.746073\pi\)
\(74\) −2.01305 + 3.79901i −0.234013 + 0.441626i
\(75\) 1.22859 + 1.22089i 0.141866 + 0.140976i
\(76\) −3.11331 + 2.11285i −0.357121 + 0.242360i
\(77\) 1.30638 0.754239i 0.148876 0.0859535i
\(78\) 2.88536 12.7635i 0.326703 1.44519i
\(79\) −5.04431 + 8.73700i −0.567529 + 0.982990i 0.429280 + 0.903171i \(0.358767\pi\)
−0.996809 + 0.0798182i \(0.974566\pi\)
\(80\) −0.579192 3.95784i −0.0647556 0.442501i
\(81\) 4.59773 + 7.73698i 0.510859 + 0.859664i
\(82\) 0.391987 + 10.7857i 0.0432878 + 1.19108i
\(83\) −1.36095 0.785746i −0.149384 0.0862468i 0.423445 0.905922i \(-0.360821\pi\)
−0.572829 + 0.819675i \(0.694154\pi\)
\(84\) −2.61401 + 13.8915i −0.285212 + 1.51569i
\(85\) −2.25994 + 1.30478i −0.245125 + 0.141523i
\(86\) −3.30196 5.26758i −0.356060 0.568018i
\(87\) 1.56044 1.57029i 0.167297 0.168353i
\(88\) 0.421213 0.957016i 0.0449015 0.102018i
\(89\) 12.9012 1.36752 0.683762 0.729706i \(-0.260343\pi\)
0.683762 + 0.729706i \(0.260343\pi\)
\(90\) −3.76128 1.96285i −0.396474 0.206902i
\(91\) 21.7988i 2.28514i
\(92\) −7.69250 + 15.8864i −0.801999 + 1.65627i
\(93\) −6.92622 + 1.87925i −0.718216 + 0.194869i
\(94\) −2.11437 + 1.32538i −0.218080 + 0.136703i
\(95\) −0.940639 1.62923i −0.0965075 0.167156i
\(96\) 4.23159 + 8.83706i 0.431885 + 0.901929i
\(97\) 0.0450082 0.0779566i 0.00456989 0.00791529i −0.863731 0.503952i \(-0.831879\pi\)
0.868301 + 0.496037i \(0.165212\pi\)
\(98\) 0.495683 + 13.6390i 0.0500716 + 1.37774i
\(99\) −0.560551 0.956946i −0.0563375 0.0961766i
\(100\) 1.99472 0.145181i 0.199472 0.0145181i
\(101\) −4.70263 2.71507i −0.467929 0.270159i 0.247443 0.968902i \(-0.420410\pi\)
−0.715372 + 0.698743i \(0.753743\pi\)
\(102\) 4.33799 4.69473i 0.429525 0.464847i
\(103\) −8.21543 14.2295i −0.809490 1.40208i −0.913218 0.407472i \(-0.866410\pi\)
0.103728 0.994606i \(-0.466923\pi\)
\(104\) −8.93343 12.1863i −0.875995 1.19496i
\(105\) −6.83255 1.80775i −0.666789 0.176419i
\(106\) −6.66346 + 12.5752i −0.647212 + 1.22141i
\(107\) 4.93967i 0.477536i 0.971077 + 0.238768i \(0.0767435\pi\)
−0.971077 + 0.238768i \(0.923257\pi\)
\(108\) 10.2250 + 1.85752i 0.983896 + 0.178740i
\(109\) 9.83808i 0.942318i 0.882048 + 0.471159i \(0.156164\pi\)
−0.882048 + 0.471159i \(0.843836\pi\)
\(110\) 0.461958 + 0.244786i 0.0440459 + 0.0233394i
\(111\) 5.09051 + 1.34685i 0.483170 + 0.127837i
\(112\) 10.1218 + 12.8046i 0.956418 + 1.20992i
\(113\) −8.10981 14.0466i −0.762907 1.32139i −0.941346 0.337442i \(-0.890438\pi\)
0.178439 0.983951i \(-0.442895\pi\)
\(114\) 3.38452 + 3.12734i 0.316989 + 0.292902i
\(115\) −7.64303 4.41270i −0.712716 0.411487i
\(116\) −0.185559 2.54950i −0.0172287 0.236715i
\(117\) −16.0262 + 0.100849i −1.48162 + 0.00932353i
\(118\) −3.18821 + 0.115870i −0.293498 + 0.0106667i
\(119\) 5.32416 9.22171i 0.488065 0.845353i
\(120\) −4.56046 + 1.78947i −0.416311 + 0.163356i
\(121\) −5.43167 9.40793i −0.493788 0.855266i
\(122\) −10.4949 16.7423i −0.950160 1.51578i
\(123\) 12.7572 3.46135i 1.15028 0.312099i
\(124\) −3.61155 + 7.45848i −0.324326 + 0.669791i
\(125\) 1.00000i 0.0894427i
\(126\) 17.2964 0.737618i 1.54089 0.0657122i
\(127\) 9.08563 0.806219 0.403110 0.915152i \(-0.367929\pi\)
0.403110 + 0.915152i \(0.367929\pi\)
\(128\) 10.9059 + 3.01018i 0.963955 + 0.266065i
\(129\) −5.36706 + 5.40094i −0.472544 + 0.475527i
\(130\) 6.40130 4.01263i 0.561431 0.351931i
\(131\) −15.9462 + 9.20657i −1.39323 + 0.804382i −0.993671 0.112326i \(-0.964170\pi\)
−0.399559 + 0.916708i \(0.630837\pi\)
\(132\) −1.25852 0.236820i −0.109540 0.0206125i
\(133\) 6.64811 + 3.83829i 0.576464 + 0.332822i
\(134\) 2.41487 0.0877642i 0.208613 0.00758167i
\(135\) −1.29743 + 5.03157i −0.111665 + 0.433048i
\(136\) −0.802794 7.33714i −0.0688391 0.629155i
\(137\) −5.53509 + 9.58706i −0.472895 + 0.819078i −0.999519 0.0310207i \(-0.990124\pi\)
0.526624 + 0.850098i \(0.323458\pi\)
\(138\) 21.0857 + 4.76669i 1.79493 + 0.405767i
\(139\) −12.4794 + 7.20500i −1.05849 + 0.611120i −0.925014 0.379932i \(-0.875947\pi\)
−0.133476 + 0.991052i \(0.542614\pi\)
\(140\) −6.75280 + 4.58279i −0.570716 + 0.387316i
\(141\) 2.16790 + 2.15430i 0.182570 + 0.181425i
\(142\) −10.7383 5.69008i −0.901135 0.477501i
\(143\) 1.97489 0.165149
\(144\) 9.36698 7.50064i 0.780582 0.625054i
\(145\) 1.27812 0.106142
\(146\) 14.9118 + 7.90157i 1.23411 + 0.653939i
\(147\) 16.1320 4.37701i 1.33055 0.361010i
\(148\) 5.03109 3.41435i 0.413553 0.280658i
\(149\) 10.9375 6.31478i 0.896037 0.517327i 0.0201244 0.999797i \(-0.493594\pi\)
0.875912 + 0.482470i \(0.160260\pi\)
\(150\) −0.726852 2.33916i −0.0593472 0.190992i
\(151\) 6.18106 10.7059i 0.503008 0.871235i −0.496986 0.867758i \(-0.665560\pi\)
0.999994 0.00347665i \(-0.00110665\pi\)
\(152\) 5.28949 0.578750i 0.429034 0.0469428i
\(153\) −6.80432 3.87159i −0.550096 0.312999i
\(154\) −2.13190 + 0.0774802i −0.171794 + 0.00624353i
\(155\) −3.58832 2.07172i −0.288221 0.166404i
\(156\) −12.0571 + 14.0390i −0.965340 + 1.12402i
\(157\) −11.2378 + 6.48813i −0.896872 + 0.517809i −0.876184 0.481977i \(-0.839919\pi\)
−0.0206880 + 0.999786i \(0.506586\pi\)
\(158\) 12.0887 7.57779i 0.961729 0.602856i
\(159\) 16.8502 + 4.45823i 1.33631 + 0.353561i
\(160\) −1.89695 + 5.32931i −0.149967 + 0.421319i
\(161\) 36.0122 2.83816
\(162\) −0.622307 12.7127i −0.0488931 0.998804i
\(163\) 19.8572i 1.55533i −0.628677 0.777666i \(-0.716403\pi\)
0.628677 0.777666i \(-0.283597\pi\)
\(164\) 6.65202 13.7376i 0.519435 1.07273i
\(165\) 0.163776 0.619003i 0.0127499 0.0481893i
\(166\) 1.18038 + 1.88305i 0.0916154 + 0.146153i
\(167\) 6.75667 + 11.7029i 0.522847 + 0.905597i 0.999647 + 0.0265854i \(0.00846338\pi\)
−0.476800 + 0.879012i \(0.658203\pi\)
\(168\) 12.4649 15.6282i 0.961687 1.20574i
\(169\) 7.76945 13.4571i 0.597650 1.03516i
\(170\) 3.68803 0.134035i 0.282859 0.0102800i
\(171\) 2.79110 4.90536i 0.213441 0.375122i
\(172\) 0.638222 + 8.76889i 0.0486640 + 0.668622i
\(173\) −4.48715 2.59066i −0.341152 0.196964i 0.319630 0.947543i \(-0.396442\pi\)
−0.660781 + 0.750579i \(0.729775\pi\)
\(174\) −2.98973 + 0.929005i −0.226651 + 0.0704277i
\(175\) −2.04026 3.53383i −0.154229 0.267132i
\(176\) −1.16005 + 0.916995i −0.0874422 + 0.0691211i
\(177\) 1.02316 + 3.77098i 0.0769053 + 0.283444i
\(178\) −16.1216 8.54263i −1.20836 0.640297i
\(179\) 17.7907i 1.32974i 0.746961 + 0.664868i \(0.231512\pi\)
−0.746961 + 0.664868i \(0.768488\pi\)
\(180\) 3.40045 + 4.94337i 0.253455 + 0.368457i
\(181\) 9.23958i 0.686772i −0.939194 0.343386i \(-0.888426\pi\)
0.939194 0.343386i \(-0.111574\pi\)
\(182\) −14.4343 + 27.2402i −1.06994 + 2.01918i
\(183\) −17.0585 + 17.1662i −1.26100 + 1.26896i
\(184\) 20.1320 14.7582i 1.48415 1.08799i
\(185\) 1.52007 + 2.63284i 0.111758 + 0.193570i
\(186\) 9.89949 + 2.23791i 0.725866 + 0.164091i
\(187\) 0.835452 + 0.482348i 0.0610943 + 0.0352728i
\(188\) 3.51977 0.256178i 0.256705 0.0186837i
\(189\) −5.68080 20.4278i −0.413217 1.48590i
\(190\) 0.0966283 + 2.65877i 0.00701015 + 0.192888i
\(191\) −5.17948 + 8.97112i −0.374774 + 0.649127i −0.990293 0.138994i \(-0.955613\pi\)
0.615519 + 0.788122i \(0.288946\pi\)
\(192\) 0.563660 13.8449i 0.0406786 0.999172i
\(193\) 6.84990 + 11.8644i 0.493067 + 0.854017i 0.999968 0.00798751i \(-0.00254253\pi\)
−0.506901 + 0.862004i \(0.669209\pi\)
\(194\) −0.107863 + 0.0676134i −0.00774409 + 0.00485436i
\(195\) −6.56336 6.52219i −0.470012 0.467064i
\(196\) 8.41174 17.3717i 0.600838 1.24084i
\(197\) 14.1112i 1.00538i −0.864467 0.502689i \(-0.832344\pi\)
0.864467 0.502689i \(-0.167656\pi\)
\(198\) 0.0668254 + 1.56699i 0.00474908 + 0.111361i
\(199\) −18.1566 −1.28709 −0.643543 0.765410i \(-0.722536\pi\)
−0.643543 + 0.765410i \(0.722536\pi\)
\(200\) −2.58878 1.13940i −0.183054 0.0805679i
\(201\) −0.774980 2.85629i −0.0546629 0.201467i
\(202\) 4.07869 + 6.50668i 0.286976 + 0.457809i
\(203\) −4.51666 + 2.60769i −0.317007 + 0.183024i
\(204\) −8.52949 + 2.99418i −0.597183 + 0.209635i
\(205\) 6.60924 + 3.81584i 0.461609 + 0.266510i
\(206\) 0.843940 + 23.2214i 0.0588001 + 1.61791i
\(207\) −0.166606 26.4757i −0.0115799 1.84019i
\(208\) 3.09415 + 21.1435i 0.214541 + 1.46604i
\(209\) −0.347734 + 0.602293i −0.0240533 + 0.0416615i
\(210\) 7.34106 + 6.78323i 0.506581 + 0.468088i
\(211\) −22.5320 + 13.0088i −1.55117 + 0.895566i −0.553118 + 0.833103i \(0.686562\pi\)
−0.998047 + 0.0624631i \(0.980104\pi\)
\(212\) 16.6536 11.3019i 1.14377 0.776221i
\(213\) −3.80699 + 14.3888i −0.260850 + 0.985905i
\(214\) 3.27084 6.17270i 0.223590 0.421957i
\(215\) −4.39604 −0.299808
\(216\) −11.5473 9.09173i −0.785695 0.618614i
\(217\) 16.9073 1.14774
\(218\) 6.51437 12.2939i 0.441209 0.832645i
\(219\) 5.28660 19.9811i 0.357235 1.35020i
\(220\) −0.415183 0.611778i −0.0279917 0.0412461i
\(221\) 12.0730 6.97035i 0.812118 0.468877i
\(222\) −5.46937 5.05377i −0.367080 0.339187i
\(223\) −0.952729 + 1.65017i −0.0637994 + 0.110504i −0.896161 0.443729i \(-0.853655\pi\)
0.832361 + 0.554233i \(0.186988\pi\)
\(224\) −4.16966 22.7031i −0.278597 1.51692i
\(225\) −2.58859 + 1.51632i −0.172572 + 0.101088i
\(226\) 0.833090 + 22.9229i 0.0554163 + 1.52481i
\(227\) 15.9311 + 9.19784i 1.05739 + 0.610482i 0.924708 0.380677i \(-0.124309\pi\)
0.132678 + 0.991159i \(0.457642\pi\)
\(228\) −2.15856 6.14907i −0.142954 0.407232i
\(229\) −9.54790 + 5.51249i −0.630943 + 0.364275i −0.781117 0.624384i \(-0.785350\pi\)
0.150174 + 0.988660i \(0.452017\pi\)
\(230\) 6.62896 + 10.5751i 0.437101 + 0.697301i
\(231\) 0.684170 + 2.52159i 0.0450151 + 0.165909i
\(232\) −1.45629 + 3.30877i −0.0956104 + 0.217231i
\(233\) −16.8788 −1.10577 −0.552885 0.833258i \(-0.686473\pi\)
−0.552885 + 0.833258i \(0.686473\pi\)
\(234\) 20.0934 + 10.4859i 1.31355 + 0.685483i
\(235\) 1.76454i 0.115106i
\(236\) 4.06077 + 1.96631i 0.264334 + 0.127996i
\(237\) −12.3948 12.3170i −0.805129 0.800078i
\(238\) −12.7594 + 7.99818i −0.827069 + 0.518445i
\(239\) −5.15400 8.92699i −0.333385 0.577439i 0.649789 0.760115i \(-0.274857\pi\)
−0.983173 + 0.182676i \(0.941524\pi\)
\(240\) 6.88375 + 0.783592i 0.444344 + 0.0505806i
\(241\) −2.50577 + 4.34011i −0.161411 + 0.279571i −0.935375 0.353658i \(-0.884938\pi\)
0.773964 + 0.633229i \(0.218271\pi\)
\(242\) 0.557975 + 15.3529i 0.0358680 + 0.986925i
\(243\) −14.9920 + 4.27096i −0.961735 + 0.273982i
\(244\) 2.02850 + 27.8708i 0.129862 + 1.78424i
\(245\) 8.35764 + 4.82528i 0.533950 + 0.308276i
\(246\) −18.2336 4.12195i −1.16253 0.262806i
\(247\) 5.02506 + 8.70366i 0.319737 + 0.553801i
\(248\) 9.45175 6.92883i 0.600187 0.439981i
\(249\) 1.91861 1.93072i 0.121587 0.122355i
\(250\) 0.662158 1.24962i 0.0418786 0.0790328i
\(251\) 1.21512i 0.0766977i −0.999264 0.0383488i \(-0.987790\pi\)
0.999264 0.0383488i \(-0.0122098\pi\)
\(252\) −22.1023 10.5312i −1.39232 0.663405i
\(253\) 3.26257i 0.205116i
\(254\) −11.3536 6.01613i −0.712386 0.377485i
\(255\) −1.18356 4.36217i −0.0741175 0.273169i
\(256\) −11.6350 10.9830i −0.727188 0.686438i
\(257\) 8.44091 + 14.6201i 0.526530 + 0.911976i 0.999522 + 0.0309097i \(0.00984044\pi\)
−0.472992 + 0.881066i \(0.656826\pi\)
\(258\) 10.2831 3.19527i 0.640196 0.198929i
\(259\) −10.7433 6.20265i −0.667557 0.385414i
\(260\) −10.6562 + 0.775583i −0.660868 + 0.0480996i
\(261\) 1.93804 + 3.30853i 0.119962 + 0.204793i
\(262\) 26.0229 0.945756i 1.60770 0.0584290i
\(263\) 6.72703 11.6516i 0.414806 0.718466i −0.580602 0.814188i \(-0.697183\pi\)
0.995408 + 0.0957219i \(0.0305159\pi\)
\(264\) 1.41585 + 1.12927i 0.0871398 + 0.0695019i
\(265\) 5.03162 + 8.71502i 0.309090 + 0.535359i
\(266\) −5.76604 9.19849i −0.353539 0.563996i
\(267\) −5.71550 + 21.6022i −0.349783 + 1.32203i
\(268\) −3.07578 1.48936i −0.187883 0.0909770i
\(269\) 8.72380i 0.531900i 0.963987 + 0.265950i \(0.0856855\pi\)
−0.963987 + 0.265950i \(0.914314\pi\)
\(270\) 4.95299 5.42844i 0.301429 0.330364i
\(271\) 8.15697 0.495501 0.247750 0.968824i \(-0.420309\pi\)
0.247750 + 0.968824i \(0.420309\pi\)
\(272\) −3.85517 + 9.70021i −0.233754 + 0.588161i
\(273\) 36.5007 + 9.65735i 2.20912 + 0.584489i
\(274\) 13.2649 8.31506i 0.801362 0.502331i
\(275\) 0.320151 0.184839i 0.0193059 0.0111462i
\(276\) −23.1927 19.9186i −1.39604 1.19896i
\(277\) 18.4491 + 10.6516i 1.10850 + 0.639991i 0.938440 0.345443i \(-0.112271\pi\)
0.170057 + 0.985434i \(0.445605\pi\)
\(278\) 20.3654 0.740142i 1.22143 0.0443908i
\(279\) −0.0782195 12.4301i −0.00468288 0.744168i
\(280\) 11.4730 1.25531i 0.685640 0.0750194i
\(281\) −8.58557 + 14.8707i −0.512172 + 0.887109i 0.487728 + 0.872996i \(0.337826\pi\)
−0.999900 + 0.0141130i \(0.995508\pi\)
\(282\) −1.28256 4.12755i −0.0763753 0.245792i
\(283\) −7.07353 + 4.08390i −0.420478 + 0.242763i −0.695282 0.718737i \(-0.744720\pi\)
0.274804 + 0.961500i \(0.411387\pi\)
\(284\) 9.65099 + 14.2209i 0.572681 + 0.843853i
\(285\) 3.14477 0.853252i 0.186280 0.0505423i
\(286\) −2.46786 1.30769i −0.145928 0.0773254i
\(287\) −31.1412 −1.83821
\(288\) −16.6718 + 3.17052i −0.982393 + 0.186824i
\(289\) −10.1902 −0.599425
\(290\) −1.59716 0.846319i −0.0937887 0.0496975i
\(291\) 0.110594 + 0.109900i 0.00648311 + 0.00644244i
\(292\) −13.4019 19.7479i −0.784288 1.15566i
\(293\) −7.81917 + 4.51440i −0.456801 + 0.263734i −0.710698 0.703497i \(-0.751621\pi\)
0.253897 + 0.967231i \(0.418287\pi\)
\(294\) −23.0571 5.21236i −1.34472 0.303991i
\(295\) −1.12795 + 1.95366i −0.0656716 + 0.113747i
\(296\) −8.54779 + 0.935258i −0.496830 + 0.0543607i
\(297\) 1.85068 0.514659i 0.107387 0.0298635i
\(298\) −17.8491 + 0.648694i −1.03397 + 0.0375778i
\(299\) 40.8304 + 23.5735i 2.36128 + 1.36329i
\(300\) −0.640610 + 3.40435i −0.0369856 + 0.196550i
\(301\) 15.5348 8.96905i 0.895414 0.516967i
\(302\) −14.8130 + 9.28547i −0.852391 + 0.534319i
\(303\) 6.62957 6.67142i 0.380859 0.383263i
\(304\) −6.99307 2.77926i −0.401080 0.159402i
\(305\) −13.9722 −0.800049
\(306\) 5.93919 + 9.34355i 0.339521 + 0.534135i
\(307\) 24.7416i 1.41208i 0.708174 + 0.706038i \(0.249519\pi\)
−0.708174 + 0.706038i \(0.750481\pi\)
\(308\) 2.71537 + 1.31484i 0.154723 + 0.0749198i
\(309\) 27.4660 7.45220i 1.56249 0.423941i
\(310\) 3.11222 + 4.96489i 0.176762 + 0.281987i
\(311\) −11.4925 19.9056i −0.651681 1.12874i −0.982715 0.185125i \(-0.940731\pi\)
0.331034 0.943619i \(-0.392602\pi\)
\(312\) 24.3628 9.55968i 1.37927 0.541210i
\(313\) −14.0443 + 24.3254i −0.793830 + 1.37495i 0.129749 + 0.991547i \(0.458583\pi\)
−0.923579 + 0.383407i \(0.874751\pi\)
\(314\) 18.3391 0.666501i 1.03494 0.0376128i
\(315\) 6.05393 10.6398i 0.341101 0.599484i
\(316\) −20.1240 + 1.46468i −1.13206 + 0.0823945i
\(317\) −23.3386 13.4745i −1.31082 0.756805i −0.328592 0.944472i \(-0.606574\pi\)
−0.982233 + 0.187667i \(0.939908\pi\)
\(318\) −18.1043 16.7286i −1.01524 0.938094i
\(319\) −0.236247 0.409192i −0.0132273 0.0229104i
\(320\) 5.89932 5.40352i 0.329782 0.302066i
\(321\) −8.27115 2.18838i −0.461651 0.122143i
\(322\) −45.0015 23.8458i −2.50783 1.32887i
\(323\) 4.90929i 0.273160i
\(324\) −7.64018 + 16.2981i −0.424454 + 0.905449i
\(325\) 5.34218i 0.296331i
\(326\) −13.1486 + 24.8139i −0.728233 + 1.37431i
\(327\) −16.4732 4.35848i −0.910972 0.241025i
\(328\) −17.4089 + 12.7621i −0.961248 + 0.704666i
\(329\) −3.60011 6.23557i −0.198481 0.343778i
\(330\) −0.614535 + 0.665072i −0.0338291 + 0.0366110i
\(331\) 0.187126 + 0.108037i 0.0102854 + 0.00593828i 0.505134 0.863041i \(-0.331443\pi\)
−0.494848 + 0.868979i \(0.664776\pi\)
\(332\) −0.228151 3.13469i −0.0125214 0.172039i
\(333\) −4.51041 + 7.92705i −0.247169 + 0.434399i
\(334\) −0.694087 19.0981i −0.0379788 1.04500i
\(335\) 0.854350 1.47978i 0.0466781 0.0808489i
\(336\) −25.9247 + 11.2755i −1.41431 + 0.615130i
\(337\) 0.992756 + 1.71950i 0.0540789 + 0.0936674i 0.891798 0.452435i \(-0.149444\pi\)
−0.837719 + 0.546102i \(0.816111\pi\)
\(338\) −18.6196 + 11.6716i −1.01277 + 0.634852i
\(339\) 27.1129 7.35640i 1.47257 0.399545i
\(340\) −4.69738 2.27457i −0.254751 0.123356i
\(341\) 1.53174i 0.0829484i
\(342\) −6.73594 + 4.28168i −0.364238 + 0.231527i
\(343\) −10.8157 −0.583991
\(344\) 5.00886 11.3804i 0.270060 0.613588i
\(345\) 10.7748 10.8428i 0.580096 0.583758i
\(346\) 3.89180 + 6.20854i 0.209224 + 0.333773i
\(347\) 10.5340 6.08183i 0.565497 0.326490i −0.189852 0.981813i \(-0.560801\pi\)
0.755349 + 0.655323i \(0.227467\pi\)
\(348\) 4.35118 + 0.818777i 0.233247 + 0.0438910i
\(349\) −23.6671 13.6642i −1.26687 0.731428i −0.292476 0.956273i \(-0.594479\pi\)
−0.974395 + 0.224845i \(0.927813\pi\)
\(350\) 0.209588 + 5.76691i 0.0112029 + 0.308254i
\(351\) 6.93110 26.8795i 0.369955 1.43472i
\(352\) 2.05682 0.377756i 0.109629 0.0201344i
\(353\) −3.43602 + 5.95137i −0.182881 + 0.316759i −0.942860 0.333188i \(-0.891876\pi\)
0.759979 + 0.649947i \(0.225209\pi\)
\(354\) 1.21843 5.38978i 0.0647588 0.286464i
\(355\) −7.44196 + 4.29662i −0.394978 + 0.228041i
\(356\) 14.4892 + 21.3501i 0.767927 + 1.13155i
\(357\) 13.0824 + 13.0004i 0.692396 + 0.688052i
\(358\) 11.7802 22.2315i 0.622605 1.17497i
\(359\) −0.510693 −0.0269533 −0.0134767 0.999909i \(-0.504290\pi\)
−0.0134767 + 0.999909i \(0.504290\pi\)
\(360\) −0.975970 8.42897i −0.0514381 0.444246i
\(361\) 15.4608 0.813726
\(362\) −6.11806 + 11.5459i −0.321558 + 0.606841i
\(363\) 18.1593 4.92706i 0.953116 0.258604i
\(364\) 36.0747 24.4821i 1.89083 1.28321i
\(365\) 10.3343 5.96653i 0.540924 0.312302i
\(366\) 32.6834 10.1558i 1.70839 0.530850i
\(367\) 1.14997 1.99180i 0.0600277 0.103971i −0.834450 0.551084i \(-0.814214\pi\)
0.894478 + 0.447113i \(0.147548\pi\)
\(368\) −34.9296 + 5.11160i −1.82083 + 0.266461i
\(369\) 0.144071 + 22.8946i 0.00750002 + 1.19185i
\(370\) −0.156151 4.29657i −0.00811790 0.223368i
\(371\) −35.5617 20.5316i −1.84627 1.06595i
\(372\) −10.8887 9.35157i −0.564555 0.484856i
\(373\) 11.0670 6.38951i 0.573025 0.330836i −0.185331 0.982676i \(-0.559336\pi\)
0.758357 + 0.651840i \(0.226003\pi\)
\(374\) −0.724605 1.15595i −0.0374684 0.0597729i
\(375\) −1.67443 0.443022i −0.0864674 0.0228775i
\(376\) −4.56800 2.01052i −0.235576 0.103685i
\(377\) −6.82795 −0.351658
\(378\) −6.42759 + 29.2885i −0.330600 + 1.50644i
\(379\) 8.23995i 0.423258i −0.977350 0.211629i \(-0.932123\pi\)
0.977350 0.211629i \(-0.0678768\pi\)
\(380\) 1.63978 3.38643i 0.0841190 0.173720i
\(381\) −4.02513 + 15.2133i −0.206214 + 0.779401i
\(382\) 12.4127 7.78084i 0.635088 0.398102i
\(383\) 2.55256 + 4.42116i 0.130430 + 0.225911i 0.923842 0.382773i \(-0.125031\pi\)
−0.793413 + 0.608684i \(0.791698\pi\)
\(384\) −9.87190 + 16.9277i −0.503773 + 0.863836i
\(385\) −0.754239 + 1.30638i −0.0384396 + 0.0665793i
\(386\) −0.703665 19.3617i −0.0358156 0.985483i
\(387\) −6.66580 11.3795i −0.338842 0.578454i
\(388\) 0.179558 0.0130687i 0.00911568 0.000663462i
\(389\) 14.1799 + 8.18674i 0.718947 + 0.415084i 0.814365 0.580353i \(-0.197085\pi\)
−0.0954178 + 0.995437i \(0.530419\pi\)
\(390\) 3.88297 + 12.4962i 0.196622 + 0.632771i
\(391\) 11.5152 + 19.9449i 0.582348 + 1.00866i
\(392\) −22.0143 + 16.1381i −1.11189 + 0.815098i
\(393\) −8.35127 30.7797i −0.421266 1.55263i
\(394\) −9.34382 + 17.6336i −0.470735 + 0.888366i
\(395\) 10.0886i 0.507614i
\(396\) 0.954090 2.00239i 0.0479448 0.100624i
\(397\) 0.186817i 0.00937606i 0.999989 + 0.00468803i \(0.00149225\pi\)
−0.999989 + 0.00468803i \(0.998508\pi\)
\(398\) 22.6888 + 12.0225i 1.13729 + 0.602635i
\(399\) −9.37221 + 9.43138i −0.469198 + 0.472159i
\(400\) 2.48052 + 3.13800i 0.124026 + 0.156900i
\(401\) −4.70535 8.14990i −0.234974 0.406987i 0.724291 0.689494i \(-0.242167\pi\)
−0.959265 + 0.282507i \(0.908834\pi\)
\(402\) −0.922886 + 4.08243i −0.0460293 + 0.203613i
\(403\) 19.1694 + 11.0675i 0.954898 + 0.551311i
\(404\) −0.788352 10.8316i −0.0392220 0.538893i
\(405\) −7.85024 4.40155i −0.390082 0.218715i
\(406\) 7.37080 0.267879i 0.365807 0.0132946i
\(407\) 0.561937 0.973304i 0.0278542 0.0482449i
\(408\) 12.6412 + 1.90629i 0.625834 + 0.0943752i
\(409\) 9.14059 + 15.8320i 0.451973 + 0.782841i 0.998509 0.0545955i \(-0.0173869\pi\)
−0.546535 + 0.837436i \(0.684054\pi\)
\(410\) −5.73233 9.14471i −0.283100 0.451625i
\(411\) −13.6007 13.5154i −0.670875 0.666667i
\(412\) 14.3216 29.5767i 0.705577 1.45714i
\(413\) 9.20519i 0.452958i
\(414\) −17.3229 + 33.1948i −0.851375 + 1.63144i
\(415\) 1.57149 0.0771415
\(416\) 10.1339 28.4702i 0.496853 1.39586i
\(417\) −6.53564 24.0879i −0.320052 1.17959i
\(418\) 0.833349 0.522382i 0.0407604 0.0255505i
\(419\) 6.84038 3.94929i 0.334174 0.192936i −0.323518 0.946222i \(-0.604866\pi\)
0.657693 + 0.753286i \(0.271532\pi\)
\(420\) −4.68195 13.3374i −0.228456 0.650798i
\(421\) 26.7251 + 15.4298i 1.30250 + 0.752000i 0.980833 0.194852i \(-0.0624225\pi\)
0.321670 + 0.946852i \(0.395756\pi\)
\(422\) 36.7703 1.33635i 1.78995 0.0650525i
\(423\) −4.56766 + 2.67560i −0.222087 + 0.130092i
\(424\) −28.2943 + 3.09582i −1.37409 + 0.150346i
\(425\) 1.30478 2.25994i 0.0632910 0.109623i
\(426\) 14.2849 15.4597i 0.692108 0.749024i
\(427\) 49.3755 28.5070i 2.38945 1.37955i
\(428\) −8.17461 + 5.54770i −0.395135 + 0.268158i
\(429\) −0.874920 + 3.30683i −0.0422415 + 0.159655i
\(430\) 5.49338 + 2.91088i 0.264914 + 0.140375i
\(431\) −26.2550 −1.26466 −0.632329 0.774700i \(-0.717901\pi\)
−0.632329 + 0.774700i \(0.717901\pi\)
\(432\) 8.40956 + 19.0073i 0.404605 + 0.914491i
\(433\) 9.71829 0.467031 0.233516 0.972353i \(-0.424977\pi\)
0.233516 + 0.972353i \(0.424977\pi\)
\(434\) −21.1277 11.1953i −1.01416 0.537393i
\(435\) −0.566235 + 2.14013i −0.0271489 + 0.102611i
\(436\) −16.2810 + 11.0491i −0.779716 + 0.529155i
\(437\) −14.3787 + 8.30152i −0.687824 + 0.397116i
\(438\) −19.8369 + 21.4682i −0.947844 + 1.02579i
\(439\) 9.66765 16.7449i 0.461412 0.799189i −0.537620 0.843187i \(-0.680676\pi\)
0.999032 + 0.0439987i \(0.0140097\pi\)
\(440\) 0.113727 + 1.03941i 0.00542171 + 0.0495518i
\(441\) 0.182183 + 28.9511i 0.00867538 + 1.37863i
\(442\) −19.7021 + 0.716038i −0.937135 + 0.0340585i
\(443\) −14.5245 8.38573i −0.690080 0.398418i 0.113562 0.993531i \(-0.463774\pi\)
−0.803642 + 0.595113i \(0.797107\pi\)
\(444\) 3.48823 + 9.93687i 0.165544 + 0.471583i
\(445\) −11.1728 + 6.45059i −0.529639 + 0.305787i
\(446\) 2.28322 1.43123i 0.108114 0.0677707i
\(447\) 5.72813 + 21.1118i 0.270931 + 0.998552i
\(448\) −9.82258 + 31.1312i −0.464074 + 1.47081i
\(449\) 11.0309 0.520582 0.260291 0.965530i \(-0.416181\pi\)
0.260291 + 0.965530i \(0.416181\pi\)
\(450\) 4.23879 0.180766i 0.199818 0.00852140i
\(451\) 2.82127i 0.132849i
\(452\) 14.1375 29.1965i 0.664974 1.37329i
\(453\) 15.1880 + 15.0927i 0.713595 + 0.709119i
\(454\) −13.8174 22.0427i −0.648483 1.03452i
\(455\) 10.8994 + 18.8783i 0.510972 + 0.885030i
\(456\) −1.37428 + 9.11330i −0.0643565 + 0.426769i
\(457\) 9.61496 16.6536i 0.449769 0.779022i −0.548602 0.836084i \(-0.684840\pi\)
0.998371 + 0.0570614i \(0.0181731\pi\)
\(458\) 15.5814 0.566277i 0.728070 0.0264604i
\(459\) 9.49718 9.67819i 0.443291 0.451739i
\(460\) −1.28128 17.6042i −0.0597400 0.820802i
\(461\) 27.0061 + 15.5920i 1.25780 + 0.726191i 0.972646 0.232291i \(-0.0746221\pi\)
0.285154 + 0.958482i \(0.407955\pi\)
\(462\) 0.814744 3.60406i 0.0379053 0.167676i
\(463\) −14.5978 25.2841i −0.678416 1.17505i −0.975458 0.220186i \(-0.929333\pi\)
0.297042 0.954864i \(-0.404000\pi\)
\(464\) 4.01074 3.17040i 0.186194 0.147182i
\(465\) 5.05866 5.09059i 0.234590 0.236070i
\(466\) 21.0921 + 11.1765i 0.977073 + 0.517740i
\(467\) 7.90238i 0.365679i 0.983143 + 0.182839i \(0.0585288\pi\)
−0.983143 + 0.182839i \(0.941471\pi\)
\(468\) −18.1658 26.4084i −0.839715 1.22073i
\(469\) 6.97237i 0.321954i
\(470\) 1.16840 2.20500i 0.0538945 0.101709i
\(471\) −5.88538 21.6913i −0.271184 0.999483i
\(472\) −3.77240 5.14601i −0.173639 0.236864i
\(473\) 0.812562 + 1.40740i 0.0373616 + 0.0647123i
\(474\) 7.33293 + 23.5989i 0.336813 + 1.08394i
\(475\) 1.62923 + 0.940639i 0.0747544 + 0.0431595i
\(476\) 21.2404 1.54593i 0.973554 0.0708577i
\(477\) −14.9300 + 26.2395i −0.683599 + 1.20143i
\(478\) 0.529451 + 14.5681i 0.0242165 + 0.666329i
\(479\) −6.75925 + 11.7074i −0.308838 + 0.534923i −0.978108 0.208096i \(-0.933273\pi\)
0.669271 + 0.743019i \(0.266607\pi\)
\(480\) −8.08320 5.53732i −0.368946 0.252743i
\(481\) −8.12048 14.0651i −0.370262 0.641313i
\(482\) 6.00509 3.76427i 0.273525 0.171458i
\(483\) −15.9542 + 60.3000i −0.725940 + 2.74375i
\(484\) 9.46883 19.5548i 0.430401 0.888854i
\(485\) 0.0900165i 0.00408744i
\(486\) 21.5623 + 4.58999i 0.978085 + 0.208206i
\(487\) 10.4175 0.472061 0.236031 0.971746i \(-0.424153\pi\)
0.236031 + 0.971746i \(0.424153\pi\)
\(488\) 15.9200 36.1710i 0.720665 1.63739i
\(489\) 33.2495 + 8.79715i 1.50360 + 0.397821i
\(490\) −7.24875 11.5638i −0.327465 0.522401i
\(491\) 11.9665 6.90884i 0.540038 0.311791i −0.205056 0.978750i \(-0.565738\pi\)
0.745095 + 0.666959i \(0.232404\pi\)
\(492\) 20.0557 + 17.2244i 0.904181 + 0.776537i
\(493\) −2.88848 1.66766i −0.130090 0.0751078i
\(494\) −0.516206 14.2036i −0.0232252 0.639052i
\(495\) 0.963924 + 0.548464i 0.0433252 + 0.0246516i
\(496\) −16.3991 + 2.39984i −0.736340 + 0.107756i
\(497\) 17.5324 30.3670i 0.786435 1.36215i
\(498\) −3.67598 + 1.14224i −0.164724 + 0.0511851i
\(499\) 0.591237 0.341351i 0.0264674 0.0152810i −0.486708 0.873565i \(-0.661802\pi\)
0.513175 + 0.858284i \(0.328469\pi\)
\(500\) −1.65489 + 1.12309i −0.0740090 + 0.0502262i
\(501\) −22.5891 + 6.12897i −1.00921 + 0.273822i
\(502\) −0.804602 + 1.51844i −0.0359111 + 0.0677711i
\(503\) 4.46146 0.198927 0.0994633 0.995041i \(-0.468287\pi\)
0.0994633 + 0.995041i \(0.468287\pi\)
\(504\) 20.6462 + 27.7953i 0.919653 + 1.23810i
\(505\) 5.43013 0.241638
\(506\) 2.16034 4.07696i 0.0960387 0.181243i
\(507\) 19.0910 + 18.9712i 0.847860 + 0.842541i
\(508\) 10.2040 + 15.0357i 0.452729 + 0.667102i
\(509\) −9.56309 + 5.52125i −0.423876 + 0.244725i −0.696734 0.717329i \(-0.745364\pi\)
0.272858 + 0.962054i \(0.412031\pi\)
\(510\) −1.40944 + 6.23475i −0.0624113 + 0.276079i
\(511\) −24.3465 + 42.1693i −1.07702 + 1.86546i
\(512\) 7.26682 + 21.4288i 0.321151 + 0.947028i
\(513\) 6.97719 + 6.84670i 0.308050 + 0.302289i
\(514\) −0.867103 23.8588i −0.0382463 1.05236i
\(515\) 14.2295 + 8.21543i 0.627028 + 0.362015i
\(516\) −14.9657 2.81615i −0.658827 0.123974i
\(517\) 0.564919 0.326156i 0.0248451 0.0143443i
\(518\) 9.31790 + 14.8647i 0.409405 + 0.653119i
\(519\) 6.32579 6.36572i 0.277671 0.279424i
\(520\) 13.8297 + 6.08689i 0.606473 + 0.266928i
\(521\) −1.96137 −0.0859292 −0.0429646 0.999077i \(-0.513680\pi\)
−0.0429646 + 0.999077i \(0.513680\pi\)
\(522\) −0.231041 5.41768i −0.0101124 0.237126i
\(523\) 16.4134i 0.717709i −0.933394 0.358854i \(-0.883167\pi\)
0.933394 0.358854i \(-0.116833\pi\)
\(524\) −33.1450 16.0495i −1.44795 0.701124i
\(525\) 6.82104 1.85071i 0.297695 0.0807718i
\(526\) −16.1214 + 10.1056i −0.702926 + 0.440627i
\(527\) 5.40626 + 9.36391i 0.235500 + 0.407898i
\(528\) −1.02152 2.34868i −0.0444560 0.102213i
\(529\) −27.4439 + 47.5342i −1.19321 + 2.06671i
\(530\) −0.516879 14.2222i −0.0224518 0.617772i
\(531\) −6.76754 + 0.0425866i −0.293686 + 0.00184810i
\(532\) 1.11449 + 15.3126i 0.0483194 + 0.663887i
\(533\) −35.3077 20.3849i −1.52935 0.882969i
\(534\) 21.4463 23.2099i 0.928071 1.00439i
\(535\) −2.46983 4.27788i −0.106780 0.184949i
\(536\) 2.85737 + 3.89778i 0.123419 + 0.168359i
\(537\) −29.7893 7.88164i −1.28550 0.340118i
\(538\) 5.77654 10.9014i 0.249044 0.469994i
\(539\) 3.56761i 0.153668i
\(540\) −9.78383 + 3.50381i −0.421029 + 0.150780i
\(541\) 11.3797i 0.489250i 0.969618 + 0.244625i \(0.0786649\pi\)
−0.969618 + 0.244625i \(0.921335\pi\)
\(542\) −10.1931 5.40121i −0.437831 0.232002i
\(543\) 15.4711 + 4.09333i 0.663927 + 0.175662i
\(544\) 11.2406 9.56883i 0.481935 0.410260i
\(545\) −4.91904 8.52003i −0.210709 0.364958i
\(546\) −39.2173 36.2373i −1.67834 1.55081i
\(547\) −27.2507 15.7332i −1.16516 0.672704i −0.212623 0.977134i \(-0.568201\pi\)
−0.952535 + 0.304430i \(0.901534\pi\)
\(548\) −22.0819 + 1.60718i −0.943294 + 0.0686553i
\(549\) −21.1864 36.1684i −0.904213 1.54363i
\(550\) −0.522460 + 0.0189879i −0.0222778 + 0.000809645i
\(551\) 1.20225 2.08236i 0.0512176 0.0887114i
\(552\) 15.7928 + 40.2479i 0.672187 + 1.71307i
\(553\) 20.5834 + 35.6514i 0.875294 + 1.51605i
\(554\) −16.0013 25.5266i −0.679828 1.08452i
\(555\) −5.08193 + 1.37885i −0.215716 + 0.0585290i
\(556\) −25.9390 12.5602i −1.10006 0.532671i
\(557\) 9.00129i 0.381397i −0.981649 0.190699i \(-0.938925\pi\)
0.981649 0.190699i \(-0.0610753\pi\)
\(558\) −8.13292 + 15.5846i −0.344294 + 0.659749i
\(559\) 23.4845 0.993287
\(560\) −15.1680 6.02825i −0.640966 0.254740i
\(561\) −1.17778 + 1.18522i −0.0497261 + 0.0500400i
\(562\) 20.5754 12.8976i 0.867922 0.544054i
\(563\) −20.7439 + 11.9765i −0.874251 + 0.504749i −0.868759 0.495236i \(-0.835082\pi\)
−0.00549239 + 0.999985i \(0.501748\pi\)
\(564\) −1.13038 + 6.00711i −0.0475976 + 0.252945i
\(565\) 14.0466 + 8.10981i 0.590945 + 0.341182i
\(566\) 11.5434 0.419524i 0.485205 0.0176339i
\(567\) 36.7217 0.462181i 1.54217 0.0194098i
\(568\) −2.64359 24.1611i −0.110923 1.01378i
\(569\) −13.4946 + 23.3734i −0.565724 + 0.979863i 0.431258 + 0.902229i \(0.358070\pi\)
−0.996982 + 0.0776341i \(0.975263\pi\)
\(570\) −4.49475 1.01610i −0.188264 0.0425596i
\(571\) −5.95950 + 3.44072i −0.249397 + 0.143990i −0.619488 0.785006i \(-0.712660\pi\)
0.370091 + 0.928996i \(0.379327\pi\)
\(572\) 2.21799 + 3.26823i 0.0927386 + 0.136652i
\(573\) −12.7269 12.6471i −0.531675 0.528340i
\(574\) 38.9146 + 20.6204i 1.62426 + 0.860679i
\(575\) 8.82541 0.368045
\(576\) 22.9327 + 7.07742i 0.955530 + 0.294892i
\(577\) −22.2291 −0.925410 −0.462705 0.886512i \(-0.653121\pi\)
−0.462705 + 0.886512i \(0.653121\pi\)
\(578\) 12.7339 + 6.74755i 0.529660 + 0.280661i
\(579\) −22.9008 + 6.21354i −0.951724 + 0.258226i
\(580\) 1.43545 + 2.11515i 0.0596037 + 0.0878269i
\(581\) −5.55338 + 3.20625i −0.230393 + 0.133017i
\(582\) −0.0654286 0.210563i −0.00271210 0.00872813i
\(583\) 1.86008 3.22176i 0.0770368 0.133432i
\(584\) 3.67105 + 33.5515i 0.151909 + 1.38837i
\(585\) 13.8287 8.10045i 0.571746 0.334912i
\(586\) 12.7602 0.463747i 0.527120 0.0191572i
\(587\) −25.9524 14.9836i −1.07117 0.618440i −0.142668 0.989771i \(-0.545568\pi\)
−0.928501 + 0.371331i \(0.878902\pi\)
\(588\) 25.3612 + 21.7810i 1.04588 + 0.898231i
\(589\) −6.75062 + 3.89747i −0.278155 + 0.160593i
\(590\) 2.70314 1.69445i 0.111286 0.0697594i
\(591\) 23.6282 + 6.25155i 0.971935 + 0.257154i
\(592\) 11.3008 + 4.49128i 0.464459 + 0.184590i
\(593\) −13.8975 −0.570700 −0.285350 0.958423i \(-0.592110\pi\)
−0.285350 + 0.958423i \(0.592110\pi\)
\(594\) −2.65343 0.582316i −0.108871 0.0238927i
\(595\) 10.6483i 0.436538i
\(596\) 22.7341 + 11.0083i 0.931226 + 0.450918i
\(597\) 8.04375 30.4020i 0.329209 1.24427i
\(598\) −35.4131 56.4940i −1.44815 2.31021i
\(599\) −0.252190 0.436806i −0.0103042 0.0178474i 0.860827 0.508897i \(-0.169947\pi\)
−0.871132 + 0.491050i \(0.836613\pi\)
\(600\) 3.05474 3.82996i 0.124709 0.156357i
\(601\) 11.0731 19.1791i 0.451680 0.782333i −0.546811 0.837256i \(-0.684158\pi\)
0.998491 + 0.0549238i \(0.0174916\pi\)
\(602\) −25.3516 + 0.921357i −1.03325 + 0.0375517i
\(603\) 5.12600 0.0322568i 0.208747 0.00131360i
\(604\) 24.6590 1.79475i 1.00336 0.0730272i
\(605\) 9.40793 + 5.43167i 0.382487 + 0.220829i
\(606\) −12.7020 + 3.94690i −0.515982 + 0.160332i
\(607\) 22.0621 + 38.2126i 0.895471 + 1.55100i 0.833220 + 0.552941i \(0.186494\pi\)
0.0622507 + 0.998061i \(0.480172\pi\)
\(608\) 6.89835 + 8.10354i 0.279765 + 0.328642i
\(609\) −2.36544 8.71811i −0.0958523 0.353276i
\(610\) 17.4600 + 9.25184i 0.706934 + 0.374596i
\(611\) 9.42649i 0.381355i
\(612\) −1.23482 15.6086i −0.0499145 0.630938i
\(613\) 17.3208i 0.699579i −0.936828 0.349789i \(-0.886253\pi\)
0.936828 0.349789i \(-0.113747\pi\)
\(614\) 16.3828 30.9175i 0.661158 1.24773i
\(615\) −9.31742 + 9.37623i −0.375715 + 0.378086i
\(616\) −2.52255 3.44105i −0.101636 0.138644i
\(617\) −6.92480 11.9941i −0.278782 0.482864i 0.692300 0.721609i \(-0.256597\pi\)
−0.971082 + 0.238745i \(0.923264\pi\)
\(618\) −39.2566 8.87446i −1.57913 0.356983i
\(619\) 2.47292 + 1.42774i 0.0993952 + 0.0573858i 0.548874 0.835905i \(-0.315057\pi\)
−0.449478 + 0.893291i \(0.648390\pi\)
\(620\) −0.601548 8.26500i −0.0241587 0.331931i
\(621\) 44.4056 + 11.4503i 1.78194 + 0.459486i
\(622\) 1.18058 + 32.4843i 0.0473370 + 1.30250i
\(623\) 26.3217 45.5905i 1.05456 1.82655i
\(624\) −36.7742 4.18609i −1.47215 0.167578i
\(625\) −0.500000 0.866025i −0.0200000 0.0346410i
\(626\) 33.6573 21.0979i 1.34522 0.843244i
\(627\) −0.854447 0.849087i −0.0341233 0.0339093i
\(628\) −23.3582 11.3105i −0.932094 0.451339i
\(629\) 7.93340i 0.316325i
\(630\) −14.6103 + 9.28701i −0.582089 + 0.370003i
\(631\) −2.51505 −0.100122 −0.0500612 0.998746i \(-0.515942\pi\)
−0.0500612 + 0.998746i \(0.515942\pi\)
\(632\) 26.1172 + 11.4950i 1.03889 + 0.457247i
\(633\) −11.8003 43.4915i −0.469020 1.72863i
\(634\) 20.2420 + 32.2919i 0.803914 + 1.28247i
\(635\) −7.86839 + 4.54281i −0.312247 + 0.180276i
\(636\) 11.5465 + 32.8923i 0.457848 + 1.30426i
\(637\) −44.6480 25.7775i −1.76902 1.02134i
\(638\) 0.0242688 + 0.667767i 0.000960810 + 0.0264372i
\(639\) −22.4065 12.7491i −0.886389 0.504347i
\(640\) −10.9499 + 2.84606i −0.432832 + 0.112500i
\(641\) 3.00957 5.21272i 0.118871 0.205890i −0.800450 0.599400i \(-0.795406\pi\)
0.919320 + 0.393510i \(0.128739\pi\)
\(642\) 8.88673 + 8.21145i 0.350731 + 0.324080i
\(643\) 14.8943 8.59924i 0.587374 0.339121i −0.176684 0.984268i \(-0.556537\pi\)
0.764059 + 0.645147i \(0.223204\pi\)
\(644\) 40.4450 + 59.5962i 1.59376 + 2.34842i
\(645\) 1.94754 7.36089i 0.0766844 0.289835i
\(646\) 3.25073 6.13474i 0.127898 0.241368i
\(647\) −42.0612 −1.65359 −0.826797 0.562500i \(-0.809840\pi\)
−0.826797 + 0.562500i \(0.809840\pi\)
\(648\) 20.3392 15.3074i 0.799000 0.601331i
\(649\) 0.833956 0.0327356
\(650\) −3.53737 + 6.67569i −0.138747 + 0.261842i
\(651\) −7.49031 + 28.3102i −0.293568 + 1.10956i
\(652\) 32.8614 22.3014i 1.28695 0.873391i
\(653\) 6.29892 3.63668i 0.246496 0.142314i −0.371663 0.928368i \(-0.621212\pi\)
0.618159 + 0.786053i \(0.287879\pi\)
\(654\) 17.6992 + 16.3543i 0.692095 + 0.639505i
\(655\) 9.20657 15.9462i 0.359730 0.623071i
\(656\) 30.2050 4.42021i 1.17931 0.172580i
\(657\) 31.1150 + 17.7041i 1.21391 + 0.690704i
\(658\) 0.369826 + 10.1759i 0.0144173 + 0.396699i
\(659\) −29.9779 17.3077i −1.16777 0.674214i −0.214619 0.976698i \(-0.568851\pi\)
−0.953155 + 0.302484i \(0.902184\pi\)
\(660\) 1.20832 0.424167i 0.0470337 0.0165107i
\(661\) −24.1531 + 13.9448i −0.939445 + 0.542389i −0.889786 0.456378i \(-0.849147\pi\)
−0.0496585 + 0.998766i \(0.515813\pi\)
\(662\) −0.162299 0.258913i −0.00630792 0.0100629i
\(663\) 6.32280 + 23.3035i 0.245557 + 0.905032i
\(664\) −1.79056 + 4.06824i −0.0694873 + 0.157878i
\(665\) −7.67657 −0.297685
\(666\) 10.8853 6.91917i 0.421795 0.268113i
\(667\) 11.2799i 0.436761i
\(668\) −11.7787 + 24.3250i −0.455730 + 0.941162i
\(669\) −2.34103 2.32634i −0.0905094 0.0899417i
\(670\) −2.04746 + 1.28344i −0.0791003 + 0.0495837i
\(671\) 2.58262 + 4.47323i 0.0997010 + 0.172687i
\(672\) 39.8622 + 3.07615i 1.53772 + 0.118665i
\(673\) 22.2270 38.4983i 0.856789 1.48400i −0.0181861 0.999835i \(-0.505789\pi\)
0.874975 0.484168i \(-0.160878\pi\)
\(674\) −0.101982 2.80609i −0.00392820 0.108086i
\(675\) −1.39218 5.00618i −0.0535850 0.192688i
\(676\) 30.9958 2.25595i 1.19215 0.0867674i
\(677\) 9.50348 + 5.48684i 0.365248 + 0.210876i 0.671381 0.741113i \(-0.265702\pi\)
−0.306132 + 0.951989i \(0.599035\pi\)
\(678\) −38.7519 8.76037i −1.48826 0.336440i
\(679\) −0.183657 0.318103i −0.00704809 0.0122077i
\(680\) 4.36381 + 5.95276i 0.167345 + 0.228278i
\(681\) −22.4590 + 22.6008i −0.860632 + 0.866064i
\(682\) 1.01425 1.91409i 0.0388378 0.0732943i
\(683\) 28.5694i 1.09318i −0.837401 0.546589i \(-0.815926\pi\)
0.837401 0.546589i \(-0.184074\pi\)
\(684\) 11.2525 0.890203i 0.430250 0.0340378i
\(685\) 11.0702i 0.422970i
\(686\) 13.5155 + 7.16169i 0.516023 + 0.273435i
\(687\) −5.00037 18.4295i −0.190776 0.703129i
\(688\) −13.7948 + 10.9045i −0.525921 + 0.415729i
\(689\) −26.8798 46.5572i −1.02404 1.77369i
\(690\) −20.6441 + 6.41476i −0.785906 + 0.244206i
\(691\) 23.0851 + 13.3282i 0.878197 + 0.507027i 0.870063 0.492940i \(-0.164078\pi\)
0.00813334 + 0.999967i \(0.497411\pi\)
\(692\) −0.752228 10.3353i −0.0285954 0.392889i
\(693\) −4.52535 + 0.0284770i −0.171904 + 0.00108175i
\(694\) −17.1907 + 0.624763i −0.652549 + 0.0237157i
\(695\) 7.20500 12.4794i 0.273301 0.473371i
\(696\) −4.89515 3.90433i −0.185550 0.147993i
\(697\) −9.95765 17.2472i −0.377173 0.653283i
\(698\) 20.5270 + 32.7464i 0.776957 + 1.23947i
\(699\) 7.47769 28.2625i 0.282832 1.06899i
\(700\) 3.55670 7.34521i 0.134431 0.277623i
\(701\) 6.86083i 0.259130i −0.991571 0.129565i \(-0.958642\pi\)
0.991571 0.129565i \(-0.0413581\pi\)
\(702\) −26.4597 + 28.9997i −0.998659 + 1.09452i
\(703\) 5.71934 0.215709
\(704\) −2.82037 0.889889i −0.106297 0.0335390i
\(705\) −2.95461 0.781729i −0.111277 0.0294416i
\(706\) 8.23447 5.16175i 0.309908 0.194265i
\(707\) −19.1891 + 11.0789i −0.721682 + 0.416663i
\(708\) −5.09146 + 5.92838i −0.191349 + 0.222802i
\(709\) 5.70057 + 3.29122i 0.214089 + 0.123605i 0.603210 0.797582i \(-0.293888\pi\)
−0.389121 + 0.921187i \(0.627221\pi\)
\(710\) 12.1446 0.441375i 0.455780 0.0165645i
\(711\) 26.1153 15.2976i 0.979399 0.573704i
\(712\) −3.96888 36.2736i −0.148740 1.35941i
\(713\) −18.2837 + 31.6684i −0.684732 + 1.18599i
\(714\) −7.73975 24.9081i −0.289653 0.932164i
\(715\) −1.71031 + 0.987446i −0.0639618 + 0.0369284i
\(716\) −29.4416 + 19.9805i −1.10028 + 0.746708i
\(717\) 17.2310 4.67519i 0.643503 0.174598i
\(718\) 0.638171 + 0.338160i 0.0238163 + 0.0126200i
\(719\) 6.63542 0.247460 0.123730 0.992316i \(-0.460514\pi\)
0.123730 + 0.992316i \(0.460514\pi\)
\(720\) −4.36172 + 11.1792i −0.162552 + 0.416626i
\(721\) −67.0463 −2.49693
\(722\) −19.3201 10.2375i −0.719019 0.381000i
\(723\) −6.15713 6.11850i −0.228986 0.227550i
\(724\) 15.2905 10.3769i 0.568267 0.385654i
\(725\) −1.10689 + 0.639061i −0.0411087 + 0.0237341i
\(726\) −25.9547 5.86739i −0.963269 0.217759i
\(727\) −18.9981 + 32.9056i −0.704600 + 1.22040i 0.262236 + 0.965004i \(0.415540\pi\)
−0.966836 + 0.255399i \(0.917793\pi\)
\(728\) −61.2906 + 6.70612i −2.27158 + 0.248545i
\(729\) −0.509678 26.9952i −0.0188770 0.999822i
\(730\) −16.8648 + 0.612919i −0.624193 + 0.0226851i
\(731\) 9.93479 + 5.73585i 0.367452 + 0.212148i
\(732\) −47.5665 8.95076i −1.75811 0.330829i
\(733\) 23.1471 13.3640i 0.854957 0.493609i −0.00736353 0.999973i \(-0.502344\pi\)
0.862320 + 0.506363i \(0.169011\pi\)
\(734\) −2.75590 + 1.72753i −0.101722 + 0.0637642i
\(735\) −11.7822 + 11.8566i −0.434594 + 0.437338i
\(736\) 47.0334 + 16.7414i 1.73367 + 0.617095i
\(737\) −0.631671 −0.0232679
\(738\) 14.9798 28.7049i 0.551415 1.05664i
\(739\) 34.7551i 1.27849i 0.769004 + 0.639243i \(0.220752\pi\)
−0.769004 + 0.639243i \(0.779248\pi\)
\(740\) −2.64988 + 5.47246i −0.0974115 + 0.201172i
\(741\) −16.7999 + 4.55823i −0.617161 + 0.167451i
\(742\) 30.8434 + 49.2041i 1.13230 + 1.80634i
\(743\) 22.2636 + 38.5617i 0.816773 + 1.41469i 0.908048 + 0.418867i \(0.137573\pi\)
−0.0912747 + 0.995826i \(0.529094\pi\)
\(744\) 7.41455 + 18.8960i 0.271831 + 0.692760i
\(745\) −6.31478 + 10.9375i −0.231356 + 0.400720i
\(746\) −18.0603 + 0.656370i −0.661236 + 0.0240314i
\(747\) 2.38288 + 4.06794i 0.0871852 + 0.148838i
\(748\) 0.140056 + 1.92430i 0.00512094 + 0.0703595i
\(749\) 17.4559 + 10.0782i 0.637826 + 0.368249i
\(750\) 1.79905 + 1.66235i 0.0656922 + 0.0607004i
\(751\) 6.94636 + 12.0314i 0.253476 + 0.439034i 0.964481 0.264154i \(-0.0850927\pi\)
−0.711004 + 0.703188i \(0.751759\pi\)
\(752\) 4.37697 + 5.53712i 0.159612 + 0.201918i
\(753\) 2.03464 + 0.538324i 0.0741464 + 0.0196176i
\(754\) 8.53234 + 4.52119i 0.310729 + 0.164652i
\(755\) 12.3621i 0.449904i
\(756\) 27.4257 32.3434i 0.997462 1.17632i
\(757\) 44.0570i 1.60128i −0.599145 0.800640i \(-0.704493\pi\)
0.599145 0.800640i \(-0.295507\pi\)
\(758\) −5.45615 + 10.2968i −0.198176 + 0.373996i
\(759\) −5.46296 1.44539i −0.198293 0.0524642i
\(760\) −4.29146 + 3.14596i −0.155667 + 0.114116i
\(761\) 15.2569 + 26.4257i 0.553062 + 0.957932i 0.998051 + 0.0623957i \(0.0198741\pi\)
−0.444989 + 0.895536i \(0.646793\pi\)
\(762\) 15.1035 16.3455i 0.547142 0.592136i
\(763\) 34.7661 + 20.0722i 1.25862 + 0.726663i
\(764\) −20.6633 + 1.50392i −0.747570 + 0.0544100i
\(765\) 7.82851 0.0492630i 0.283040 0.00178111i
\(766\) −0.262215 7.21496i −0.00947420 0.260687i
\(767\) 6.02569 10.4368i 0.217575 0.376851i
\(768\) 23.5449 14.6163i 0.849603 0.527422i
\(769\) −16.8187 29.1308i −0.606498 1.05049i −0.991813 0.127700i \(-0.959241\pi\)
0.385315 0.922785i \(-0.374093\pi\)
\(770\) 1.80754 1.13305i 0.0651393 0.0408323i
\(771\) −28.2199 + 7.65674i −1.01631 + 0.275751i
\(772\) −11.9412 + 24.6606i −0.429772 + 0.887555i
\(773\) 31.3456i 1.12742i 0.825972 + 0.563712i \(0.190627\pi\)
−0.825972 + 0.563712i \(0.809373\pi\)
\(774\) 0.794656 + 18.6339i 0.0285633 + 0.669781i
\(775\) 4.14343 0.148837
\(776\) −0.233033 0.102565i −0.00836538 0.00368187i
\(777\) 15.1455 15.2411i 0.543340 0.546770i
\(778\) −12.2985 19.6196i −0.440922 0.703397i
\(779\) 12.4338 7.17866i 0.445487 0.257202i
\(780\) 3.42225 18.1867i 0.122536 0.651187i
\(781\) 2.75113 + 1.58837i 0.0984433 + 0.0568363i
\(782\) −1.18291 32.5484i −0.0423008 1.16393i
\(783\) −6.39850 + 1.77937i −0.228664 + 0.0635896i
\(784\) 38.1955 5.58953i 1.36412 0.199626i
\(785\) 6.48813 11.2378i 0.231571 0.401093i
\(786\) −9.94511 + 43.9927i −0.354730 + 1.56917i
\(787\) −22.3487 + 12.9030i −0.796646 + 0.459944i −0.842297 0.539014i \(-0.818797\pi\)
0.0456513 + 0.998957i \(0.485464\pi\)
\(788\) 23.3524 15.8481i 0.831896 0.564566i
\(789\) 16.5296 + 16.4259i 0.588468 + 0.584776i
\(790\) −6.68027 + 12.6069i −0.237673 + 0.448534i
\(791\) −66.1843 −2.35324
\(792\) −2.51815 + 1.87046i −0.0894785 + 0.0664640i
\(793\) 74.6423 2.65062
\(794\) 0.123702 0.233450i 0.00439003 0.00828481i
\(795\) −16.8218 + 4.56418i −0.596610 + 0.161875i
\(796\) −20.3915 30.0471i −0.722758 1.06499i
\(797\) −18.8953 + 10.9092i −0.669307 + 0.386424i −0.795814 0.605541i \(-0.792957\pi\)
0.126507 + 0.991966i \(0.459623\pi\)
\(798\) 17.9568 5.57973i 0.635662 0.197520i
\(799\) 2.30233 3.98775i 0.0814506 0.141077i
\(800\) −1.02185 5.56380i −0.0361278 0.196710i
\(801\) −33.6394 19.1405i −1.18859 0.676296i
\(802\) 0.483363 + 13.3000i 0.0170681 + 0.469638i
\(803\) −3.82038 2.20570i −0.134818 0.0778374i
\(804\) 3.85647 4.49038i 0.136007 0.158364i
\(805\) −31.1875 + 18.0061i −1.09921 + 0.634631i
\(806\) −16.6261 26.5233i −0.585628 0.934245i
\(807\) −14.6074 3.86483i −0.514206 0.136049i
\(808\) −6.18710 + 14.0574i −0.217662 + 0.494537i
\(809\) 0.650891 0.0228841 0.0114421 0.999935i \(-0.496358\pi\)
0.0114421 + 0.999935i \(0.496358\pi\)
\(810\) 6.89528 + 10.6984i 0.242276 + 0.375902i
\(811\) 8.64169i 0.303451i −0.988423 0.151725i \(-0.951517\pi\)
0.988423 0.151725i \(-0.0484829\pi\)
\(812\) −9.38807 4.54590i −0.329457 0.159530i
\(813\) −3.61372 + 13.6583i −0.126739 + 0.479018i
\(814\) −1.34669 + 0.844167i −0.0472014 + 0.0295880i
\(815\) 9.92858 + 17.1968i 0.347783 + 0.602378i
\(816\) −14.5344 10.7526i −0.508807 0.376417i
\(817\) −4.13509 + 7.16218i −0.144668 + 0.250573i
\(818\) −0.938979 25.8364i −0.0328306 0.903350i
\(819\) −32.3412 + 56.8396i −1.13009 + 1.98614i
\(820\) 1.10798 + 15.2231i 0.0386922 + 0.531614i
\(821\) −30.1278 17.3943i −1.05147 0.607065i −0.128407 0.991722i \(-0.540986\pi\)
−0.923060 + 0.384657i \(0.874320\pi\)
\(822\) 8.04638 + 25.8950i 0.280650 + 0.903191i
\(823\) 16.6190 + 28.7850i 0.579304 + 1.00338i 0.995559 + 0.0941356i \(0.0300087\pi\)
−0.416256 + 0.909248i \(0.636658\pi\)
\(824\) −37.4811 + 27.4764i −1.30571 + 0.957186i
\(825\) 0.167668 + 0.617960i 0.00583744 + 0.0215146i
\(826\) −6.09530 + 11.5030i −0.212083 + 0.400240i
\(827\) 31.7824i 1.10518i −0.833452 0.552592i \(-0.813639\pi\)
0.833452 0.552592i \(-0.186361\pi\)
\(828\) 43.6273 30.0104i 1.51615 1.04293i
\(829\) 34.9590i 1.21418i −0.794635 0.607088i \(-0.792338\pi\)
0.794635 0.607088i \(-0.207662\pi\)
\(830\) −1.96377 1.04058i −0.0681633 0.0361190i
\(831\) −26.0087 + 26.1729i −0.902232 + 0.907927i
\(832\) −31.5152 + 28.8666i −1.09259 + 1.00077i
\(833\) −12.5918 21.8097i −0.436281 0.755661i
\(834\) −7.78297 + 34.4284i −0.269502 + 1.19216i
\(835\) −11.7029 6.75667i −0.404995 0.233824i
\(836\) −1.38727 + 0.100969i −0.0479796 + 0.00349208i
\(837\) 20.8480 + 5.37581i 0.720611 + 0.185815i
\(838\) −11.1629 + 0.405696i −0.385617 + 0.0140145i
\(839\) −10.4075 + 18.0263i −0.359305 + 0.622335i −0.987845 0.155442i \(-0.950320\pi\)
0.628539 + 0.777778i \(0.283653\pi\)
\(840\) −2.98082 + 19.7668i −0.102848 + 0.682021i
\(841\) −13.6832 23.7000i −0.471835 0.817241i
\(842\) −23.1793 36.9776i −0.798810 1.27433i
\(843\) −21.0963 20.9640i −0.726597 0.722039i
\(844\) −46.8337 22.6778i −1.61208 0.780603i
\(845\) 15.5389i 0.534554i
\(846\) 7.47951 0.318969i 0.257151 0.0109664i
\(847\) −44.3280 −1.52313
\(848\) 37.4070 + 14.8667i 1.28456 + 0.510525i
\(849\) −3.70450 13.6534i −0.127138 0.468584i
\(850\) −3.12691 + 1.96009i −0.107252 + 0.0672306i
\(851\) 23.2358 13.4152i 0.796515 0.459868i
\(852\) −28.0875 + 9.85981i −0.962262 + 0.337791i
\(853\) −21.0687 12.1640i −0.721378 0.416488i 0.0938817 0.995583i \(-0.470072\pi\)
−0.815260 + 0.579096i \(0.803406\pi\)
\(854\) −80.5766 + 2.92841i −2.75728 + 0.100208i
\(855\) 0.0355147 + 5.64372i 0.00121458 + 0.193011i
\(856\) 13.8886 1.51962i 0.474703 0.0519396i
\(857\) −15.9593 + 27.6423i −0.545159 + 0.944243i 0.453438 + 0.891288i \(0.350197\pi\)
−0.998597 + 0.0529552i \(0.983136\pi\)
\(858\) 3.28296 3.55294i 0.112078 0.121295i
\(859\) −25.3361 + 14.6278i −0.864458 + 0.499095i −0.865502 0.500905i \(-0.833001\pi\)
0.00104493 + 0.999999i \(0.499667\pi\)
\(860\) −4.93716 7.27497i −0.168356 0.248074i
\(861\) 13.7962 52.1439i 0.470174 1.77706i
\(862\) 32.8087 + 17.3850i 1.11747 + 0.592134i
\(863\) 56.1769 1.91228 0.956142 0.292904i \(-0.0946217\pi\)
0.956142 + 0.292904i \(0.0946217\pi\)
\(864\) 2.07713 29.3204i 0.0706654 0.997500i
\(865\) 5.18131 0.176170
\(866\) −12.1442 6.43505i −0.412675 0.218672i
\(867\) 4.51449 17.0629i 0.153320 0.579486i
\(868\) 18.9885 + 27.9798i 0.644511 + 0.949695i
\(869\) −3.22989 + 1.86478i −0.109566 + 0.0632582i
\(870\) 2.12468 2.29941i 0.0720335 0.0779573i
\(871\) −4.56409 + 7.90524i −0.154648 + 0.267859i
\(872\) 27.6612 3.02656i 0.936727 0.102492i
\(873\) −0.233015 + 0.136494i −0.00788638 + 0.00461961i
\(874\) 23.4648 0.852784i 0.793707 0.0288458i
\(875\) 3.53383 + 2.04026i 0.119465 + 0.0689732i
\(876\) 39.0039 13.6919i 1.31782 0.462606i
\(877\) 12.8329 7.40909i 0.433337 0.250187i −0.267430 0.963577i \(-0.586175\pi\)
0.700767 + 0.713390i \(0.252841\pi\)
\(878\) −23.1686 + 14.5232i −0.781903 + 0.490133i
\(879\) −4.09501 15.0927i −0.138121 0.509063i
\(880\) 0.546137 1.37417i 0.0184103 0.0463232i
\(881\) 46.2780 1.55915 0.779573 0.626311i \(-0.215436\pi\)
0.779573 + 0.626311i \(0.215436\pi\)
\(882\) 18.9426 36.2985i 0.637830 1.22223i
\(883\) 7.99121i 0.268926i 0.990919 + 0.134463i \(0.0429309\pi\)
−0.990919 + 0.134463i \(0.957069\pi\)
\(884\) 25.0943 + 12.1512i 0.844012 + 0.408688i
\(885\) −2.77157 2.75419i −0.0931654 0.0925810i
\(886\) 12.5974 + 20.0965i 0.423218 + 0.675155i
\(887\) 5.27185 + 9.13111i 0.177011 + 0.306593i 0.940855 0.338808i \(-0.110024\pi\)
−0.763844 + 0.645401i \(0.776690\pi\)
\(888\) 2.22083 14.7271i 0.0745261 0.494208i
\(889\) 18.5370 32.1070i 0.621711 1.07684i
\(890\) 18.2330 0.662645i 0.611171 0.0222119i
\(891\) 0.0418719 + 3.32685i 0.00140276 + 0.111454i
\(892\) −3.80086 + 0.276636i −0.127262 + 0.00926246i
\(893\) 2.87485 + 1.65979i 0.0962031 + 0.0555429i
\(894\) 6.82135 30.1746i 0.228140 1.00919i
\(895\) −8.89533 15.4072i −0.297338 0.515004i
\(896\) 32.8883 32.3980i 1.09872 1.08234i
\(897\) −57.5610 + 57.9243i −1.92191 + 1.93404i
\(898\) −13.7845 7.30423i −0.459993 0.243745i
\(899\) 5.29581i 0.176625i
\(900\) −5.41656 2.58086i −0.180552 0.0860287i
\(901\) 26.2606i 0.874866i
\(902\) −1.86813 + 3.52552i −0.0622019 + 0.117387i
\(903\) 8.13581 + 29.9856i 0.270743 + 0.997857i
\(904\) −36.9992 + 27.1232i −1.23058 + 0.902103i
\(905\) 4.61979 + 8.00171i 0.153567 + 0.265986i
\(906\) −8.98544 28.9170i −0.298521 0.960704i
\(907\) 24.4462 + 14.1140i 0.811721 + 0.468648i 0.847553 0.530710i \(-0.178075\pi\)
−0.0358320 + 0.999358i \(0.511408\pi\)
\(908\) 2.67070 + 36.6943i 0.0886304 + 1.21774i
\(909\) 8.23381 + 14.0564i 0.273098 + 0.466220i
\(910\) −1.11966 30.8079i −0.0371162 1.02127i
\(911\) 1.38749 2.40320i 0.0459695 0.0796215i −0.842125 0.539282i \(-0.818696\pi\)
0.888095 + 0.459661i \(0.152029\pi\)
\(912\) 7.75177 10.4782i 0.256687 0.346967i
\(913\) −0.290474 0.503115i −0.00961328 0.0166507i
\(914\) −23.0423 + 14.4440i −0.762173 + 0.477765i
\(915\) 6.19001 23.3956i 0.204635 0.773435i
\(916\) −19.8457 9.60971i −0.655722 0.317514i
\(917\) 75.1350i 2.48118i
\(918\) −18.2763 + 5.80540i −0.603209 + 0.191607i
\(919\) 35.7713 1.17999 0.589994 0.807408i \(-0.299130\pi\)
0.589994 + 0.807408i \(0.299130\pi\)
\(920\) −10.0557 + 22.8470i −0.331526 + 0.753243i
\(921\) −41.4282 10.9611i −1.36510 0.361179i
\(922\) −23.4230 37.3664i −0.771394 1.23060i
\(923\) 39.7563 22.9533i 1.30859 0.755517i
\(924\) −3.40458 + 3.96421i −0.112002 + 0.130413i
\(925\) −2.63284 1.52007i −0.0865671 0.0499795i
\(926\) 1.49957 + 41.2615i 0.0492791 + 1.35594i
\(927\) 0.310181 + 49.2916i 0.0101877 + 1.61895i
\(928\) −7.11121 + 1.30605i −0.233437 + 0.0428730i
\(929\) −5.98498 + 10.3663i −0.196361 + 0.340107i −0.947346 0.320213i \(-0.896246\pi\)
0.750985 + 0.660319i \(0.229579\pi\)
\(930\) −9.69217 + 3.01166i −0.317819 + 0.0987563i
\(931\) 15.7230 9.07770i 0.515302 0.297509i
\(932\) −18.9565 27.9326i −0.620940 0.914964i
\(933\) 38.4221 10.4248i 1.25788 0.341294i
\(934\) 5.23263 9.87496i 0.171217 0.323119i
\(935\) −0.964697 −0.0315490
\(936\) 5.21381 + 45.0291i 0.170419 + 1.47182i
\(937\) −9.78732 −0.319738 −0.159869 0.987138i \(-0.551107\pi\)
−0.159869 + 0.987138i \(0.551107\pi\)
\(938\) 4.61681 8.71280i 0.150744 0.284483i
\(939\) −34.5094 34.2929i −1.12617 1.11911i
\(940\) −2.92012 + 1.98174i −0.0952438 + 0.0646372i
\(941\) −8.66132 + 5.00061i −0.282351 + 0.163015i −0.634487 0.772933i \(-0.718789\pi\)
0.352136 + 0.935949i \(0.385455\pi\)
\(942\) −7.00860 + 31.0029i −0.228353 + 1.01013i
\(943\) 33.6764 58.3292i 1.09665 1.89946i
\(944\) 1.30659 + 8.92847i 0.0425260 + 0.290597i
\(945\) 15.1336 + 14.8506i 0.492296 + 0.483089i
\(946\) −0.0834714 2.29676i −0.00271389 0.0746740i
\(947\) 26.4968 + 15.2979i 0.861031 + 0.497116i 0.864357 0.502878i \(-0.167726\pi\)
−0.00332652 + 0.999994i \(0.501059\pi\)
\(948\) 6.46287 34.3452i 0.209904 1.11548i
\(949\) −55.2079 + 31.8743i −1.79212 + 1.03468i
\(950\) −1.41307 2.25425i −0.0458460 0.0731375i
\(951\) 32.9017 33.1094i 1.06691 1.07365i
\(952\) −27.5661 12.1327i −0.893422 0.393223i
\(953\) 23.8769 0.773448 0.386724 0.922196i \(-0.373607\pi\)
0.386724 + 0.922196i \(0.373607\pi\)
\(954\) 36.0316 22.9033i 1.16657 0.741523i
\(955\) 10.3590i 0.335208i
\(956\) 8.98478 18.5551i 0.290588 0.600116i
\(957\) 0.789828 0.214300i 0.0255315 0.00692732i
\(958\) 16.1986 10.1540i 0.523353 0.328062i
\(959\) 22.5860 + 39.1201i 0.729340 + 1.26325i
\(960\) 6.43433 + 12.2719i 0.207667 + 0.396074i
\(961\) 6.91598 11.9788i 0.223096 0.386414i
\(962\) 0.834186 + 22.9530i 0.0268952 + 0.740035i
\(963\) 7.32860 12.8800i 0.236161 0.415052i
\(964\) −9.99662 + 0.727579i −0.321969 + 0.0234337i
\(965\) −11.8644 6.84990i −0.381928 0.220506i
\(966\) 59.8648 64.7878i 1.92612 2.08451i
\(967\) −21.6620 37.5196i −0.696601 1.20655i −0.969638 0.244545i \(-0.921361\pi\)
0.273036 0.962004i \(-0.411972\pi\)
\(968\) −24.7808 + 18.1662i −0.796485 + 0.583882i
\(969\) −8.22029 2.17492i −0.264074 0.0698686i
\(970\) 0.0596052 0.112486i 0.00191381 0.00361172i
\(971\) 13.1135i 0.420831i −0.977612 0.210416i \(-0.932518\pi\)
0.977612 0.210416i \(-0.0674817\pi\)
\(972\) −23.9053 20.0134i −0.766764 0.641929i
\(973\) 58.8001i 1.88505i
\(974\) −13.0179 6.89803i −0.417120 0.221027i
\(975\) 8.94513 + 2.36670i 0.286474 + 0.0757951i
\(976\) −43.8449 + 34.6584i −1.40344 + 1.10939i
\(977\) 2.21853 + 3.84260i 0.0709770 + 0.122936i 0.899330 0.437271i \(-0.144055\pi\)
−0.828353 + 0.560207i \(0.810722\pi\)
\(978\) −35.7241 33.0095i −1.14233 1.05553i
\(979\) 4.13033 + 2.38465i 0.132006 + 0.0762137i
\(980\) 1.40108 + 19.2502i 0.0447558 + 0.614926i
\(981\) 14.5960 25.6524i 0.466014 0.819020i
\(982\) −19.5282 + 0.709719i −0.623171 + 0.0226480i
\(983\) −4.89137 + 8.47211i −0.156011 + 0.270218i −0.933427 0.358769i \(-0.883197\pi\)
0.777416 + 0.628987i \(0.216530\pi\)
\(984\) −13.6567 34.8040i −0.435359 1.10951i
\(985\) 7.05558 + 12.2206i 0.224809 + 0.389381i
\(986\) 2.50524 + 3.99657i 0.0797830 + 0.127277i
\(987\) 12.0360 3.26566i 0.383110 0.103947i
\(988\) −8.76000 + 18.0909i −0.278693 + 0.575550i
\(989\) 38.7969i 1.23367i
\(990\) −0.841368 1.32364i −0.0267404 0.0420681i
\(991\) 7.98599 0.253683 0.126842 0.991923i \(-0.459516\pi\)
0.126842 + 0.991923i \(0.459516\pi\)
\(992\) 22.0817 + 7.85989i 0.701093 + 0.249552i
\(993\) −0.263803 + 0.265468i −0.00837153 + 0.00842437i
\(994\) −42.0165 + 26.3379i −1.33268 + 0.835388i
\(995\) 15.7241 9.07828i 0.498486 0.287801i
\(996\) 5.34991 + 1.00671i 0.169519 + 0.0318989i
\(997\) −3.22357 1.86113i −0.102091 0.0589425i 0.448085 0.893991i \(-0.352106\pi\)
−0.550176 + 0.835048i \(0.685440\pi\)
\(998\) −0.964848 + 0.0350657i −0.0305417 + 0.00110998i
\(999\) −11.2751 11.0642i −0.356729 0.350057i
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 360.2.bf.b.61.7 92
3.2 odd 2 1080.2.bf.b.181.40 92
4.3 odd 2 1440.2.bv.b.241.28 92
8.3 odd 2 1440.2.bv.b.241.19 92
8.5 even 2 inner 360.2.bf.b.61.37 yes 92
9.4 even 3 inner 360.2.bf.b.301.37 yes 92
9.5 odd 6 1080.2.bf.b.901.10 92
12.11 even 2 4320.2.bv.b.721.41 92
24.5 odd 2 1080.2.bf.b.181.10 92
24.11 even 2 4320.2.bv.b.721.16 92
36.23 even 6 4320.2.bv.b.3601.16 92
36.31 odd 6 1440.2.bv.b.1201.19 92
72.5 odd 6 1080.2.bf.b.901.40 92
72.13 even 6 inner 360.2.bf.b.301.7 yes 92
72.59 even 6 4320.2.bv.b.3601.41 92
72.67 odd 6 1440.2.bv.b.1201.28 92
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
360.2.bf.b.61.7 92 1.1 even 1 trivial
360.2.bf.b.61.37 yes 92 8.5 even 2 inner
360.2.bf.b.301.7 yes 92 72.13 even 6 inner
360.2.bf.b.301.37 yes 92 9.4 even 3 inner
1080.2.bf.b.181.10 92 24.5 odd 2
1080.2.bf.b.181.40 92 3.2 odd 2
1080.2.bf.b.901.10 92 9.5 odd 6
1080.2.bf.b.901.40 92 72.5 odd 6
1440.2.bv.b.241.19 92 8.3 odd 2
1440.2.bv.b.241.28 92 4.3 odd 2
1440.2.bv.b.1201.19 92 36.31 odd 6
1440.2.bv.b.1201.28 92 72.67 odd 6
4320.2.bv.b.721.16 92 24.11 even 2
4320.2.bv.b.721.41 92 12.11 even 2
4320.2.bv.b.3601.16 92 36.23 even 6
4320.2.bv.b.3601.41 92 72.59 even 6