Properties

Label 322.2.i.d.127.4
Level $322$
Weight $2$
Character 322.127
Analytic conductor $2.571$
Analytic rank $0$
Dimension $40$
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] = [322,2,Mod(29,322)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(322, base_ring=CyclotomicField(22))
 
chi = DirichletCharacter(H, H._module([0, 18]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("322.29");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 322 = 2 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 322.i (of order \(11\), degree \(10\), 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: \(2.57118294509\)
Analytic rank: \(0\)
Dimension: \(40\)
Relative dimension: \(4\) over \(\Q(\zeta_{11})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{11}]$

Embedding invariants

Embedding label 127.4
Character \(\chi\) \(=\) 322.127
Dual form 322.2.i.d.71.4

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.841254 - 0.540641i) q^{2} +(0.341180 - 2.37296i) q^{3} +(0.415415 - 0.909632i) q^{4} +(1.96603 - 0.577277i) q^{5} +(-0.995899 - 2.18071i) q^{6} +(0.654861 + 0.755750i) q^{7} +(-0.142315 - 0.989821i) q^{8} +(-2.63604 - 0.774012i) q^{9} +O(q^{10})\) \(q+(0.841254 - 0.540641i) q^{2} +(0.341180 - 2.37296i) q^{3} +(0.415415 - 0.909632i) q^{4} +(1.96603 - 0.577277i) q^{5} +(-0.995899 - 2.18071i) q^{6} +(0.654861 + 0.755750i) q^{7} +(-0.142315 - 0.989821i) q^{8} +(-2.63604 - 0.774012i) q^{9} +(1.34183 - 1.54855i) q^{10} +(0.712290 + 0.457761i) q^{11} +(-2.01679 - 1.29611i) q^{12} +(-3.16858 + 3.65674i) q^{13} +(0.959493 + 0.281733i) q^{14} +(-0.699086 - 4.86225i) q^{15} +(-0.654861 - 0.755750i) q^{16} +(1.83679 + 4.02201i) q^{17} +(-2.63604 + 0.774012i) q^{18} +(-1.18888 + 2.60328i) q^{19} +(0.291607 - 2.02817i) q^{20} +(2.01679 - 1.29611i) q^{21} +0.846701 q^{22} +(-4.09369 - 2.49834i) q^{23} -2.39736 q^{24} +(-0.674258 + 0.433319i) q^{25} +(-0.688598 + 4.78931i) q^{26} +(0.251636 - 0.551006i) q^{27} +(0.959493 - 0.281733i) q^{28} +(-1.55805 - 3.41164i) q^{29} +(-3.21684 - 3.71243i) q^{30} +(0.210342 + 1.46296i) q^{31} +(-0.959493 - 0.281733i) q^{32} +(1.32927 - 1.53406i) q^{33} +(3.71967 + 2.39049i) q^{34} +(1.72375 + 1.10779i) q^{35} +(-1.79912 + 2.07629i) q^{36} +(-0.504064 - 0.148007i) q^{37} +(0.407292 + 2.83278i) q^{38} +(7.59622 + 8.76651i) q^{39} +(-0.851196 - 1.86386i) q^{40} +(-4.19540 + 1.23188i) q^{41} +(0.995899 - 2.18071i) q^{42} +(1.11619 - 7.76324i) q^{43} +(0.712290 - 0.457761i) q^{44} -5.62935 q^{45} +(-4.79454 + 0.111477i) q^{46} +6.67750 q^{47} +(-2.01679 + 1.29611i) q^{48} +(-0.142315 + 0.989821i) q^{49} +(-0.332952 + 0.729063i) q^{50} +(10.1707 - 2.98640i) q^{51} +(2.01001 + 4.40131i) q^{52} +(7.74248 + 8.93530i) q^{53} +(-0.0862066 - 0.599580i) q^{54} +(1.66464 + 0.488781i) q^{55} +(0.654861 - 0.755750i) q^{56} +(5.77185 + 3.70934i) q^{57} +(-3.15518 - 2.02771i) q^{58} +(-5.02182 + 5.79548i) q^{59} +(-4.71327 - 1.38394i) q^{60} +(-0.355188 - 2.47039i) q^{61} +(0.967889 + 1.11700i) q^{62} +(-1.14128 - 2.49906i) q^{63} +(-0.959493 + 0.281733i) q^{64} +(-4.11856 + 9.01839i) q^{65} +(0.288877 - 2.00919i) q^{66} +(9.35908 - 6.01471i) q^{67} +4.42158 q^{68} +(-7.32514 + 8.86176i) q^{69} +2.04903 q^{70} +(8.70851 - 5.59662i) q^{71} +(-0.390986 + 2.71936i) q^{72} +(-4.45054 + 9.74532i) q^{73} +(-0.504064 + 0.148007i) q^{74} +(0.798205 + 1.74783i) q^{75} +(1.87415 + 2.16288i) q^{76} +(0.120498 + 0.838083i) q^{77} +(11.1299 + 3.26803i) q^{78} +(4.16610 - 4.80794i) q^{79} +(-1.72375 - 1.10779i) q^{80} +(-8.15526 - 5.24107i) q^{81} +(-2.86339 + 3.30453i) q^{82} +(-9.69302 - 2.84613i) q^{83} +(-0.341180 - 2.37296i) q^{84} +(5.93300 + 6.84704i) q^{85} +(-3.25813 - 7.13431i) q^{86} +(-8.62726 + 2.53319i) q^{87} +(0.351732 - 0.770186i) q^{88} +(1.59642 - 11.1034i) q^{89} +(-4.73571 + 3.04345i) q^{90} -4.83856 q^{91} +(-3.97315 + 2.68590i) q^{92} +3.54331 q^{93} +(5.61747 - 3.61013i) q^{94} +(-0.834551 + 5.80443i) q^{95} +(-0.995899 + 2.18071i) q^{96} +(-9.05049 + 2.65746i) q^{97} +(0.415415 + 0.909632i) q^{98} +(-1.52331 - 1.75800i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 40 q - 4 q^{2} - 4 q^{4} + 9 q^{5} + 4 q^{7} - 4 q^{8} - 8 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 40 q - 4 q^{2} - 4 q^{4} + 9 q^{5} + 4 q^{7} - 4 q^{8} - 8 q^{9} - 2 q^{10} + 6 q^{11} + 2 q^{13} + 4 q^{14} - 3 q^{15} - 4 q^{16} - 13 q^{17} - 8 q^{18} - 22 q^{19} - 2 q^{20} - 16 q^{22} - 9 q^{23} + 22 q^{24} - 15 q^{25} - 9 q^{26} + 21 q^{27} + 4 q^{28} - 10 q^{29} - 14 q^{30} - 2 q^{31} - 4 q^{32} + 8 q^{33} - 2 q^{34} + 13 q^{35} - 8 q^{36} - 45 q^{37} + 11 q^{38} - 22 q^{39} + 9 q^{40} + 21 q^{41} + 31 q^{43} + 6 q^{44} + 2 q^{45} - 9 q^{46} + 64 q^{47} - 4 q^{49} + 7 q^{50} + 65 q^{51} + 2 q^{52} + 69 q^{53} + 21 q^{54} - 74 q^{55} + 4 q^{56} - 68 q^{57} + 12 q^{58} + 48 q^{59} - 3 q^{60} + 6 q^{61} - 13 q^{62} + 8 q^{63} - 4 q^{64} - 64 q^{65} - 69 q^{66} + 31 q^{67} - 2 q^{68} - 62 q^{69} + 2 q^{70} - 57 q^{71} - 19 q^{72} + 70 q^{73} - 45 q^{74} - 11 q^{75} + 22 q^{76} - 6 q^{77} + 33 q^{78} + 34 q^{79} - 13 q^{80} + 30 q^{81} - 12 q^{82} - 56 q^{83} - 17 q^{85} + 42 q^{86} - 3 q^{87} + 6 q^{88} + 16 q^{89} + 46 q^{90} - 46 q^{91} + 24 q^{92} + 48 q^{93} + 9 q^{94} - 42 q^{95} - 36 q^{97} - 4 q^{98} + 112 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/322\mathbb{Z}\right)^\times\).

\(n\) \(185\) \(281\)
\(\chi(n)\) \(1\) \(e\left(\frac{10}{11}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.841254 0.540641i 0.594856 0.382291i
\(3\) 0.341180 2.37296i 0.196980 1.37003i −0.616005 0.787742i \(-0.711250\pi\)
0.812985 0.582285i \(-0.197841\pi\)
\(4\) 0.415415 0.909632i 0.207708 0.454816i
\(5\) 1.96603 0.577277i 0.879234 0.258166i 0.189196 0.981939i \(-0.439412\pi\)
0.690038 + 0.723773i \(0.257594\pi\)
\(6\) −0.995899 2.18071i −0.406574 0.890273i
\(7\) 0.654861 + 0.755750i 0.247514 + 0.285646i
\(8\) −0.142315 0.989821i −0.0503159 0.349955i
\(9\) −2.63604 0.774012i −0.878681 0.258004i
\(10\) 1.34183 1.54855i 0.424323 0.489695i
\(11\) 0.712290 + 0.457761i 0.214764 + 0.138020i 0.643600 0.765362i \(-0.277440\pi\)
−0.428837 + 0.903382i \(0.641076\pi\)
\(12\) −2.01679 1.29611i −0.582196 0.374155i
\(13\) −3.16858 + 3.65674i −0.878806 + 1.01420i 0.120962 + 0.992657i \(0.461402\pi\)
−0.999768 + 0.0215391i \(0.993143\pi\)
\(14\) 0.959493 + 0.281733i 0.256435 + 0.0752962i
\(15\) −0.699086 4.86225i −0.180503 1.25543i
\(16\) −0.654861 0.755750i −0.163715 0.188937i
\(17\) 1.83679 + 4.02201i 0.445487 + 0.975481i 0.990558 + 0.137091i \(0.0437754\pi\)
−0.545071 + 0.838390i \(0.683497\pi\)
\(18\) −2.63604 + 0.774012i −0.621321 + 0.182436i
\(19\) −1.18888 + 2.60328i −0.272747 + 0.597234i −0.995593 0.0937756i \(-0.970106\pi\)
0.722846 + 0.691009i \(0.242834\pi\)
\(20\) 0.291607 2.02817i 0.0652053 0.453513i
\(21\) 2.01679 1.29611i 0.440099 0.282834i
\(22\) 0.846701 0.180517
\(23\) −4.09369 2.49834i −0.853593 0.520940i
\(24\) −2.39736 −0.489359
\(25\) −0.674258 + 0.433319i −0.134852 + 0.0866639i
\(26\) −0.688598 + 4.78931i −0.135045 + 0.939260i
\(27\) 0.251636 0.551006i 0.0484274 0.106041i
\(28\) 0.959493 0.281733i 0.181327 0.0532424i
\(29\) −1.55805 3.41164i −0.289322 0.633526i 0.708036 0.706177i \(-0.249582\pi\)
−0.997357 + 0.0726504i \(0.976854\pi\)
\(30\) −3.21684 3.71243i −0.587312 0.677794i
\(31\) 0.210342 + 1.46296i 0.0377786 + 0.262756i 0.999953 0.00967773i \(-0.00308057\pi\)
−0.962175 + 0.272434i \(0.912171\pi\)
\(32\) −0.959493 0.281733i −0.169616 0.0498038i
\(33\) 1.32927 1.53406i 0.231396 0.267045i
\(34\) 3.71967 + 2.39049i 0.637918 + 0.409965i
\(35\) 1.72375 + 1.10779i 0.291367 + 0.187250i
\(36\) −1.79912 + 2.07629i −0.299853 + 0.346049i
\(37\) −0.504064 0.148007i −0.0828676 0.0243321i 0.240036 0.970764i \(-0.422841\pi\)
−0.322904 + 0.946432i \(0.604659\pi\)
\(38\) 0.407292 + 2.83278i 0.0660714 + 0.459537i
\(39\) 7.59622 + 8.76651i 1.21637 + 1.40376i
\(40\) −0.851196 1.86386i −0.134586 0.294702i
\(41\) −4.19540 + 1.23188i −0.655211 + 0.192387i −0.592407 0.805639i \(-0.701822\pi\)
−0.0628038 + 0.998026i \(0.520004\pi\)
\(42\) 0.995899 2.18071i 0.153671 0.336491i
\(43\) 1.11619 7.76324i 0.170217 1.18388i −0.708208 0.706003i \(-0.750496\pi\)
0.878425 0.477880i \(-0.158595\pi\)
\(44\) 0.712290 0.457761i 0.107382 0.0690101i
\(45\) −5.62935 −0.839173
\(46\) −4.79454 + 0.111477i −0.706916 + 0.0164364i
\(47\) 6.67750 0.974013 0.487007 0.873398i \(-0.338089\pi\)
0.487007 + 0.873398i \(0.338089\pi\)
\(48\) −2.01679 + 1.29611i −0.291098 + 0.187077i
\(49\) −0.142315 + 0.989821i −0.0203307 + 0.141403i
\(50\) −0.332952 + 0.729063i −0.0470865 + 0.103105i
\(51\) 10.1707 2.98640i 1.42419 0.418179i
\(52\) 2.01001 + 4.40131i 0.278738 + 0.610351i
\(53\) 7.74248 + 8.93530i 1.06351 + 1.22736i 0.972840 + 0.231477i \(0.0743558\pi\)
0.0906712 + 0.995881i \(0.471099\pi\)
\(54\) −0.0862066 0.599580i −0.0117312 0.0815925i
\(55\) 1.66464 + 0.488781i 0.224460 + 0.0659073i
\(56\) 0.654861 0.755750i 0.0875094 0.100991i
\(57\) 5.77185 + 3.70934i 0.764501 + 0.491315i
\(58\) −3.15518 2.02771i −0.414296 0.266252i
\(59\) −5.02182 + 5.79548i −0.653785 + 0.754508i −0.981749 0.190182i \(-0.939092\pi\)
0.327964 + 0.944690i \(0.393637\pi\)
\(60\) −4.71327 1.38394i −0.608480 0.178666i
\(61\) −0.355188 2.47039i −0.0454772 0.316301i −0.999844 0.0176640i \(-0.994377\pi\)
0.954367 0.298637i \(-0.0965320\pi\)
\(62\) 0.967889 + 1.11700i 0.122922 + 0.141860i
\(63\) −1.14128 2.49906i −0.143788 0.314852i
\(64\) −0.959493 + 0.281733i −0.119937 + 0.0352166i
\(65\) −4.11856 + 9.01839i −0.510845 + 1.11859i
\(66\) 0.288877 2.00919i 0.0355583 0.247314i
\(67\) 9.35908 6.01471i 1.14339 0.734814i 0.175080 0.984554i \(-0.443981\pi\)
0.968313 + 0.249740i \(0.0803451\pi\)
\(68\) 4.42158 0.536196
\(69\) −7.32514 + 8.86176i −0.881843 + 1.06683i
\(70\) 2.04903 0.244905
\(71\) 8.70851 5.59662i 1.03351 0.664196i 0.0901364 0.995929i \(-0.471270\pi\)
0.943373 + 0.331733i \(0.107633\pi\)
\(72\) −0.390986 + 2.71936i −0.0460781 + 0.320480i
\(73\) −4.45054 + 9.74532i −0.520896 + 1.14060i 0.448203 + 0.893932i \(0.352064\pi\)
−0.969099 + 0.246672i \(0.920663\pi\)
\(74\) −0.504064 + 0.148007i −0.0585963 + 0.0172054i
\(75\) 0.798205 + 1.74783i 0.0921688 + 0.201822i
\(76\) 1.87415 + 2.16288i 0.214980 + 0.248100i
\(77\) 0.120498 + 0.838083i 0.0137320 + 0.0955084i
\(78\) 11.1299 + 3.26803i 1.26021 + 0.370031i
\(79\) 4.16610 4.80794i 0.468723 0.540935i −0.471333 0.881955i \(-0.656227\pi\)
0.940056 + 0.341020i \(0.110772\pi\)
\(80\) −1.72375 1.10779i −0.192721 0.123854i
\(81\) −8.15526 5.24107i −0.906140 0.582341i
\(82\) −2.86339 + 3.30453i −0.316208 + 0.364924i
\(83\) −9.69302 2.84613i −1.06395 0.312403i −0.297507 0.954720i \(-0.596155\pi\)
−0.766440 + 0.642316i \(0.777973\pi\)
\(84\) −0.341180 2.37296i −0.0372258 0.258911i
\(85\) 5.93300 + 6.84704i 0.643524 + 0.742666i
\(86\) −3.25813 7.13431i −0.351333 0.769313i
\(87\) −8.62726 + 2.53319i −0.924939 + 0.271587i
\(88\) 0.351732 0.770186i 0.0374948 0.0821021i
\(89\) 1.59642 11.1034i 0.169221 1.17696i −0.711280 0.702909i \(-0.751884\pi\)
0.880500 0.474046i \(-0.157207\pi\)
\(90\) −4.73571 + 3.04345i −0.499187 + 0.320808i
\(91\) −4.83856 −0.507218
\(92\) −3.97315 + 2.68590i −0.414230 + 0.280025i
\(93\) 3.54331 0.367424
\(94\) 5.61747 3.61013i 0.579398 0.372356i
\(95\) −0.834551 + 5.80443i −0.0856231 + 0.595522i
\(96\) −0.995899 + 2.18071i −0.101643 + 0.222568i
\(97\) −9.05049 + 2.65746i −0.918938 + 0.269825i −0.706799 0.707415i \(-0.749861\pi\)
−0.212140 + 0.977239i \(0.568043\pi\)
\(98\) 0.415415 + 0.909632i 0.0419633 + 0.0918867i
\(99\) −1.52331 1.75800i −0.153099 0.176685i
\(100\) 0.114064 + 0.793334i 0.0114064 + 0.0793334i
\(101\) 14.8588 + 4.36294i 1.47851 + 0.434128i 0.918853 0.394599i \(-0.129117\pi\)
0.559652 + 0.828728i \(0.310935\pi\)
\(102\) 6.94160 8.01103i 0.687321 0.793211i
\(103\) −10.5895 6.80546i −1.04341 0.670561i −0.0975851 0.995227i \(-0.531112\pi\)
−0.945829 + 0.324666i \(0.894748\pi\)
\(104\) 4.07045 + 2.61592i 0.399141 + 0.256512i
\(105\) 3.21684 3.71243i 0.313931 0.362296i
\(106\) 11.3442 + 3.33095i 1.10184 + 0.323531i
\(107\) −0.401733 2.79411i −0.0388370 0.270117i 0.961145 0.276042i \(-0.0890230\pi\)
−0.999982 + 0.00592521i \(0.998114\pi\)
\(108\) −0.396679 0.457792i −0.0381705 0.0440511i
\(109\) −3.62364 7.93466i −0.347081 0.760002i −0.999997 0.00257125i \(-0.999182\pi\)
0.652915 0.757431i \(-0.273546\pi\)
\(110\) 1.66464 0.488781i 0.158717 0.0466035i
\(111\) −0.523190 + 1.14563i −0.0496590 + 0.108738i
\(112\) 0.142315 0.989821i 0.0134475 0.0935293i
\(113\) −12.3724 + 7.95124i −1.16389 + 0.747990i −0.972358 0.233496i \(-0.924983\pi\)
−0.191537 + 0.981485i \(0.561347\pi\)
\(114\) 6.86101 0.642593
\(115\) −9.49054 2.54861i −0.884997 0.237659i
\(116\) −3.75058 −0.348232
\(117\) 11.1829 7.18679i 1.03386 0.664419i
\(118\) −1.09134 + 7.59047i −0.100466 + 0.698759i
\(119\) −1.83679 + 4.02201i −0.168378 + 0.368697i
\(120\) −4.71327 + 1.38394i −0.430261 + 0.126336i
\(121\) −4.27175 9.35383i −0.388341 0.850349i
\(122\) −1.63440 1.88619i −0.147971 0.170768i
\(123\) 1.49181 + 10.3758i 0.134512 + 0.935554i
\(124\) 1.41814 + 0.416403i 0.127352 + 0.0373941i
\(125\) −7.78460 + 8.98390i −0.696276 + 0.803545i
\(126\) −2.31120 1.48532i −0.205898 0.132323i
\(127\) 0.216235 + 0.138966i 0.0191877 + 0.0123312i 0.550200 0.835033i \(-0.314552\pi\)
−0.531012 + 0.847364i \(0.678188\pi\)
\(128\) −0.654861 + 0.755750i −0.0578821 + 0.0667995i
\(129\) −18.0410 5.29732i −1.58842 0.466403i
\(130\) 1.41096 + 9.81341i 0.123749 + 0.860693i
\(131\) 1.01110 + 1.16687i 0.0883401 + 0.101950i 0.798199 0.602394i \(-0.205787\pi\)
−0.709858 + 0.704344i \(0.751241\pi\)
\(132\) −0.843229 1.84641i −0.0733936 0.160710i
\(133\) −2.74598 + 0.806292i −0.238107 + 0.0699144i
\(134\) 4.62156 10.1198i 0.399242 0.874217i
\(135\) 0.176640 1.22856i 0.0152027 0.105737i
\(136\) 3.71967 2.39049i 0.318959 0.204983i
\(137\) −12.3571 −1.05574 −0.527868 0.849326i \(-0.677008\pi\)
−0.527868 + 0.849326i \(0.677008\pi\)
\(138\) −1.37127 + 11.4153i −0.116730 + 0.971731i
\(139\) 11.9697 1.01526 0.507628 0.861576i \(-0.330522\pi\)
0.507628 + 0.861576i \(0.330522\pi\)
\(140\) 1.72375 1.10779i 0.145683 0.0936251i
\(141\) 2.27823 15.8454i 0.191861 1.33442i
\(142\) 4.30030 9.41635i 0.360873 0.790202i
\(143\) −3.93086 + 1.15420i −0.328715 + 0.0965195i
\(144\) 1.14128 + 2.49906i 0.0951068 + 0.208255i
\(145\) −5.03262 5.80796i −0.417936 0.482324i
\(146\) 1.52469 + 10.6044i 0.126184 + 0.877629i
\(147\) 2.30025 + 0.675414i 0.189721 + 0.0557072i
\(148\) −0.344027 + 0.397029i −0.0282789 + 0.0326356i
\(149\) 16.5780 + 10.6540i 1.35812 + 0.872810i 0.998188 0.0601690i \(-0.0191640\pi\)
0.359931 + 0.932979i \(0.382800\pi\)
\(150\) 1.61644 + 1.03882i 0.131982 + 0.0848195i
\(151\) −2.79794 + 3.22899i −0.227693 + 0.262772i −0.858088 0.513503i \(-0.828348\pi\)
0.630395 + 0.776275i \(0.282893\pi\)
\(152\) 2.74598 + 0.806292i 0.222728 + 0.0653989i
\(153\) −1.72877 12.0239i −0.139763 0.972074i
\(154\) 0.554471 + 0.639894i 0.0446806 + 0.0515641i
\(155\) 1.25807 + 2.75480i 0.101051 + 0.221271i
\(156\) 11.1299 3.26803i 0.891104 0.261652i
\(157\) 8.06469 17.6592i 0.643633 1.40936i −0.253386 0.967365i \(-0.581544\pi\)
0.897018 0.441993i \(-0.145729\pi\)
\(158\) 0.905380 6.29706i 0.0720282 0.500967i
\(159\) 23.8447 15.3240i 1.89100 1.21527i
\(160\) −2.04903 −0.161990
\(161\) −0.792676 4.72987i −0.0624716 0.372766i
\(162\) −9.69417 −0.761646
\(163\) 2.79199 1.79430i 0.218685 0.140540i −0.426712 0.904388i \(-0.640328\pi\)
0.645397 + 0.763847i \(0.276692\pi\)
\(164\) −0.622274 + 4.32801i −0.0485914 + 0.337961i
\(165\) 1.72780 3.78335i 0.134509 0.294533i
\(166\) −9.69302 + 2.84613i −0.752324 + 0.220902i
\(167\) 5.51951 + 12.0860i 0.427112 + 0.935245i 0.993786 + 0.111303i \(0.0355026\pi\)
−0.566674 + 0.823942i \(0.691770\pi\)
\(168\) −1.56994 1.81180i −0.121123 0.139784i
\(169\) −1.48173 10.3056i −0.113979 0.792742i
\(170\) 8.69295 + 2.55248i 0.666719 + 0.195766i
\(171\) 5.14890 5.94215i 0.393746 0.454408i
\(172\) −6.59801 4.24029i −0.503094 0.323319i
\(173\) 3.12074 + 2.00558i 0.237265 + 0.152481i 0.653871 0.756606i \(-0.273144\pi\)
−0.416606 + 0.909087i \(0.636780\pi\)
\(174\) −5.88816 + 6.79530i −0.446380 + 0.515151i
\(175\) −0.769026 0.225806i −0.0581329 0.0170694i
\(176\) −0.120498 0.838083i −0.00908289 0.0631729i
\(177\) 12.0391 + 13.8939i 0.904914 + 1.04433i
\(178\) −4.65994 10.2038i −0.349277 0.764810i
\(179\) −16.5766 + 4.86734i −1.23900 + 0.363802i −0.834638 0.550799i \(-0.814323\pi\)
−0.404358 + 0.914601i \(0.632505\pi\)
\(180\) −2.33851 + 5.12063i −0.174303 + 0.381669i
\(181\) 0.608488 4.23213i 0.0452286 0.314572i −0.954631 0.297792i \(-0.903750\pi\)
0.999859 0.0167792i \(-0.00534122\pi\)
\(182\) −4.07045 + 2.61592i −0.301722 + 0.193905i
\(183\) −5.98331 −0.442299
\(184\) −1.89032 + 4.40757i −0.139356 + 0.324931i
\(185\) −1.07644 −0.0791417
\(186\) 2.98082 1.91566i 0.218565 0.140463i
\(187\) −0.532792 + 3.70565i −0.0389616 + 0.270984i
\(188\) 2.77393 6.07407i 0.202310 0.442997i
\(189\) 0.581209 0.170658i 0.0422767 0.0124136i
\(190\) 2.43604 + 5.33419i 0.176729 + 0.386983i
\(191\) −5.30167 6.11845i −0.383615 0.442716i 0.530798 0.847499i \(-0.321892\pi\)
−0.914413 + 0.404783i \(0.867347\pi\)
\(192\) 0.341180 + 2.37296i 0.0246225 + 0.171253i
\(193\) −21.2103 6.22789i −1.52675 0.448294i −0.592695 0.805427i \(-0.701936\pi\)
−0.934053 + 0.357134i \(0.883754\pi\)
\(194\) −6.17703 + 7.12867i −0.443485 + 0.511808i
\(195\) 19.9951 + 12.8501i 1.43188 + 0.920212i
\(196\) 0.841254 + 0.540641i 0.0600895 + 0.0386172i
\(197\) −4.64192 + 5.35706i −0.330723 + 0.381675i −0.896620 0.442801i \(-0.853985\pi\)
0.565896 + 0.824476i \(0.308530\pi\)
\(198\) −2.23194 0.655357i −0.158617 0.0465742i
\(199\) −0.0334717 0.232800i −0.00237274 0.0165028i 0.988601 0.150561i \(-0.0481081\pi\)
−0.990973 + 0.134059i \(0.957199\pi\)
\(200\) 0.524866 + 0.605728i 0.0371136 + 0.0428314i
\(201\) −11.0795 24.2608i −0.781490 1.71122i
\(202\) 14.8588 4.36294i 1.04546 0.306975i
\(203\) 1.55805 3.41164i 0.109353 0.239450i
\(204\) 1.50855 10.4922i 0.105620 0.734603i
\(205\) −7.53713 + 4.84382i −0.526416 + 0.338307i
\(206\) −12.5878 −0.877031
\(207\) 8.85739 + 9.75430i 0.615631 + 0.677970i
\(208\) 4.83856 0.335493
\(209\) −2.03851 + 1.31007i −0.141007 + 0.0906194i
\(210\) 0.699086 4.86225i 0.0482415 0.335527i
\(211\) 7.23242 15.8368i 0.497901 1.09025i −0.479245 0.877681i \(-0.659090\pi\)
0.977146 0.212569i \(-0.0681831\pi\)
\(212\) 11.3442 3.33095i 0.779121 0.228771i
\(213\) −10.3094 22.5744i −0.706386 1.54677i
\(214\) −1.84857 2.13337i −0.126366 0.145834i
\(215\) −2.28709 15.9071i −0.155978 1.08485i
\(216\) −0.581209 0.170658i −0.0395463 0.0116118i
\(217\) −0.967889 + 1.11700i −0.0657046 + 0.0758271i
\(218\) −7.33819 4.71597i −0.497005 0.319406i
\(219\) 21.6068 + 13.8858i 1.46005 + 0.938319i
\(220\) 1.13613 1.31116i 0.0765976 0.0883983i
\(221\) −20.5275 6.02741i −1.38083 0.405447i
\(222\) 0.179237 + 1.24662i 0.0120296 + 0.0836676i
\(223\) −19.2864 22.2576i −1.29151 1.49048i −0.771347 0.636415i \(-0.780417\pi\)
−0.520163 0.854067i \(-0.674129\pi\)
\(224\) −0.415415 0.909632i −0.0277561 0.0607773i
\(225\) 2.11277 0.620364i 0.140851 0.0413576i
\(226\) −6.10953 + 13.3780i −0.406400 + 0.889892i
\(227\) −3.12727 + 21.7507i −0.207564 + 1.44364i 0.573507 + 0.819200i \(0.305582\pi\)
−0.781072 + 0.624441i \(0.785327\pi\)
\(228\) 5.77185 3.70934i 0.382250 0.245657i
\(229\) −9.01469 −0.595708 −0.297854 0.954611i \(-0.596271\pi\)
−0.297854 + 0.954611i \(0.596271\pi\)
\(230\) −9.36183 + 2.98694i −0.617301 + 0.196953i
\(231\) 2.02985 0.133554
\(232\) −3.15518 + 2.02771i −0.207148 + 0.133126i
\(233\) −0.703431 + 4.89247i −0.0460833 + 0.320516i 0.953720 + 0.300695i \(0.0972187\pi\)
−0.999804 + 0.0198210i \(0.993690\pi\)
\(234\) 5.52215 12.0918i 0.360994 0.790468i
\(235\) 13.1281 3.85477i 0.856385 0.251457i
\(236\) 3.18562 + 6.97553i 0.207366 + 0.454069i
\(237\) −9.98764 11.5263i −0.648767 0.748717i
\(238\) 0.629257 + 4.37658i 0.0407887 + 0.283691i
\(239\) 20.7936 + 6.10556i 1.34503 + 0.394936i 0.873461 0.486894i \(-0.161870\pi\)
0.471567 + 0.881830i \(0.343688\pi\)
\(240\) −3.21684 + 3.71243i −0.207646 + 0.239636i
\(241\) 21.0569 + 13.5325i 1.35640 + 0.871703i 0.998082 0.0618986i \(-0.0197156\pi\)
0.358313 + 0.933601i \(0.383352\pi\)
\(242\) −8.65069 5.55946i −0.556088 0.357376i
\(243\) −14.0292 + 16.1906i −0.899973 + 1.03862i
\(244\) −2.39470 0.703146i −0.153305 0.0450143i
\(245\) 0.291607 + 2.02817i 0.0186301 + 0.129575i
\(246\) 6.86457 + 7.92214i 0.437669 + 0.505097i
\(247\) −5.75246 12.5961i −0.366020 0.801472i
\(248\) 1.41814 0.416403i 0.0900518 0.0264416i
\(249\) −10.0608 + 22.0301i −0.637577 + 1.39610i
\(250\) −1.69175 + 11.7664i −0.106996 + 0.744173i
\(251\) 9.52616 6.12209i 0.601286 0.386423i −0.204295 0.978909i \(-0.565490\pi\)
0.805580 + 0.592487i \(0.201854\pi\)
\(252\) −2.74733 −0.173065
\(253\) −1.77225 3.65348i −0.111420 0.229692i
\(254\) 0.257039 0.0161281
\(255\) 18.2720 11.7427i 1.14423 0.735355i
\(256\) −0.142315 + 0.989821i −0.00889468 + 0.0618638i
\(257\) −3.62946 + 7.94740i −0.226399 + 0.495745i −0.988408 0.151822i \(-0.951486\pi\)
0.762009 + 0.647567i \(0.224213\pi\)
\(258\) −18.0410 + 5.29732i −1.12318 + 0.329797i
\(259\) −0.218236 0.477870i −0.0135605 0.0296934i
\(260\) 6.49250 + 7.49275i 0.402648 + 0.464681i
\(261\) 1.46642 + 10.1992i 0.0907691 + 0.631313i
\(262\) 1.48145 + 0.434992i 0.0915242 + 0.0268739i
\(263\) −2.36520 + 2.72958i −0.145844 + 0.168313i −0.823971 0.566631i \(-0.808246\pi\)
0.678127 + 0.734945i \(0.262792\pi\)
\(264\) −1.70762 1.09742i −0.105096 0.0675414i
\(265\) 20.3801 + 13.0975i 1.25194 + 0.804571i
\(266\) −1.87415 + 2.16288i −0.114911 + 0.132615i
\(267\) −25.8032 7.57649i −1.57913 0.463674i
\(268\) −1.58327 11.0119i −0.0967139 0.672660i
\(269\) 9.98432 + 11.5225i 0.608755 + 0.702541i 0.973531 0.228555i \(-0.0733999\pi\)
−0.364776 + 0.931095i \(0.618854\pi\)
\(270\) −0.515609 1.12903i −0.0313789 0.0687103i
\(271\) −23.7761 + 6.98130i −1.44430 + 0.424083i −0.907651 0.419725i \(-0.862127\pi\)
−0.536644 + 0.843809i \(0.680308\pi\)
\(272\) 1.83679 4.02201i 0.111372 0.243870i
\(273\) −1.65082 + 11.4817i −0.0999120 + 0.694903i
\(274\) −10.3954 + 6.68074i −0.628011 + 0.403598i
\(275\) −0.678624 −0.0409226
\(276\) 5.01797 + 10.3445i 0.302046 + 0.622665i
\(277\) 23.6549 1.42129 0.710644 0.703552i \(-0.248404\pi\)
0.710644 + 0.703552i \(0.248404\pi\)
\(278\) 10.0696 6.47131i 0.603932 0.388123i
\(279\) 0.577879 4.01924i 0.0345967 0.240626i
\(280\) 0.851196 1.86386i 0.0508687 0.111387i
\(281\) 24.2967 7.13414i 1.44942 0.425587i 0.540068 0.841621i \(-0.318399\pi\)
0.909349 + 0.416034i \(0.136580\pi\)
\(282\) −6.65011 14.5617i −0.396008 0.867138i
\(283\) 14.0259 + 16.1867i 0.833751 + 0.962199i 0.999714 0.0239325i \(-0.00761869\pi\)
−0.165963 + 0.986132i \(0.553073\pi\)
\(284\) −1.47322 10.2465i −0.0874194 0.608015i
\(285\) 13.4889 + 3.96071i 0.799015 + 0.234612i
\(286\) −2.68284 + 3.09616i −0.158640 + 0.183080i
\(287\) −3.67840 2.36396i −0.217129 0.139540i
\(288\) 2.31120 + 1.48532i 0.136189 + 0.0875232i
\(289\) −1.67015 + 1.92746i −0.0982442 + 0.113380i
\(290\) −7.37373 2.16512i −0.433000 0.127140i
\(291\) 3.21820 + 22.3831i 0.188654 + 1.31212i
\(292\) 7.01584 + 8.09671i 0.410571 + 0.473824i
\(293\) 4.94653 + 10.8314i 0.288980 + 0.632777i 0.997325 0.0730885i \(-0.0232856\pi\)
−0.708346 + 0.705865i \(0.750558\pi\)
\(294\) 2.30025 0.675414i 0.134153 0.0393909i
\(295\) −6.52742 + 14.2931i −0.380041 + 0.832174i
\(296\) −0.0747643 + 0.519997i −0.00434558 + 0.0302242i
\(297\) 0.431467 0.277287i 0.0250362 0.0160898i
\(298\) 19.7063 1.14155
\(299\) 22.1070 7.05335i 1.27848 0.407906i
\(300\) 1.92146 0.110936
\(301\) 6.59801 4.24029i 0.380303 0.244406i
\(302\) −0.608050 + 4.22908i −0.0349893 + 0.243356i
\(303\) 15.4226 33.7707i 0.886004 1.94008i
\(304\) 2.74598 0.806292i 0.157493 0.0462440i
\(305\) −2.12441 4.65181i −0.121643 0.266362i
\(306\) −7.95494 9.18050i −0.454754 0.524814i
\(307\) 4.35574 + 30.2948i 0.248595 + 1.72902i 0.606346 + 0.795201i \(0.292635\pi\)
−0.357751 + 0.933817i \(0.616456\pi\)
\(308\) 0.812404 + 0.238543i 0.0462910 + 0.0135923i
\(309\) −19.7620 + 22.8065i −1.12422 + 1.29742i
\(310\) 2.54772 + 1.63732i 0.144700 + 0.0929934i
\(311\) 12.5162 + 8.04365i 0.709727 + 0.456114i 0.845050 0.534688i \(-0.179571\pi\)
−0.135323 + 0.990802i \(0.543207\pi\)
\(312\) 7.59622 8.76651i 0.430051 0.496306i
\(313\) −7.11746 2.08988i −0.402303 0.118127i 0.0743204 0.997234i \(-0.476321\pi\)
−0.476623 + 0.879108i \(0.658139\pi\)
\(314\) −2.76284 19.2160i −0.155916 1.08442i
\(315\) −3.68644 4.25438i −0.207707 0.239707i
\(316\) −2.64279 5.78691i −0.148669 0.325539i
\(317\) −30.2205 + 8.87355i −1.69735 + 0.498388i −0.980114 0.198437i \(-0.936413\pi\)
−0.717241 + 0.696825i \(0.754595\pi\)
\(318\) 11.7746 25.7828i 0.660287 1.44583i
\(319\) 0.451937 3.14329i 0.0253036 0.175991i
\(320\) −1.72375 + 1.10779i −0.0963606 + 0.0619272i
\(321\) −6.76738 −0.377718
\(322\) −3.22400 3.55047i −0.179667 0.197860i
\(323\) −12.6542 −0.704096
\(324\) −8.15526 + 5.24107i −0.453070 + 0.291170i
\(325\) 0.551906 3.83859i 0.0306143 0.212927i
\(326\) 1.37870 3.01892i 0.0763589 0.167203i
\(327\) −20.0649 + 5.89159i −1.10959 + 0.325806i
\(328\) 1.81641 + 3.97738i 0.100294 + 0.219614i
\(329\) 4.37283 + 5.04652i 0.241082 + 0.278224i
\(330\) −0.591917 4.11687i −0.0325840 0.226626i
\(331\) −28.5695 8.38876i −1.57032 0.461088i −0.623227 0.782041i \(-0.714179\pi\)
−0.947095 + 0.320953i \(0.895997\pi\)
\(332\) −6.61555 + 7.63476i −0.363076 + 0.419012i
\(333\) 1.21417 + 0.780303i 0.0665364 + 0.0427603i
\(334\) 11.1775 + 7.18335i 0.611606 + 0.393055i
\(335\) 14.9280 17.2279i 0.815605 0.941259i
\(336\) −2.30025 0.675414i −0.125489 0.0368469i
\(337\) 0.358631 + 2.49433i 0.0195359 + 0.135875i 0.997255 0.0740418i \(-0.0235898\pi\)
−0.977719 + 0.209917i \(0.932681\pi\)
\(338\) −6.81816 7.86858i −0.370859 0.427994i
\(339\) 14.6467 + 32.0719i 0.795502 + 1.74191i
\(340\) 8.69295 2.55248i 0.471441 0.138428i
\(341\) −0.519863 + 1.13834i −0.0281522 + 0.0616446i
\(342\) 1.11896 7.78256i 0.0605066 0.420833i
\(343\) −0.841254 + 0.540641i −0.0454234 + 0.0291919i
\(344\) −7.84307 −0.422870
\(345\) −9.28572 + 21.6511i −0.499926 + 1.16566i
\(346\) 3.70963 0.199431
\(347\) −29.7066 + 19.0913i −1.59473 + 1.02487i −0.625026 + 0.780604i \(0.714911\pi\)
−0.969708 + 0.244268i \(0.921452\pi\)
\(348\) −1.27962 + 8.89995i −0.0685948 + 0.477088i
\(349\) 11.1673 24.4530i 0.597772 1.30894i −0.332858 0.942977i \(-0.608013\pi\)
0.930630 0.365962i \(-0.119260\pi\)
\(350\) −0.769026 + 0.225806i −0.0411062 + 0.0120699i
\(351\) 1.21755 + 2.66607i 0.0649883 + 0.142304i
\(352\) −0.554471 0.639894i −0.0295534 0.0341065i
\(353\) −1.68773 11.7384i −0.0898290 0.624775i −0.984149 0.177346i \(-0.943249\pi\)
0.894320 0.447429i \(-0.147660\pi\)
\(354\) 17.6395 + 5.17943i 0.937529 + 0.275283i
\(355\) 13.8904 16.0303i 0.737223 0.850801i
\(356\) −9.43680 6.06467i −0.500150 0.321427i
\(357\) 8.91739 + 5.73086i 0.471958 + 0.303309i
\(358\) −11.3137 + 13.0567i −0.597946 + 0.690067i
\(359\) 12.2600 + 3.59986i 0.647058 + 0.189993i 0.588763 0.808306i \(-0.299615\pi\)
0.0582955 + 0.998299i \(0.481433\pi\)
\(360\) 0.801139 + 5.57205i 0.0422238 + 0.293673i
\(361\) 7.07871 + 8.16927i 0.372564 + 0.429962i
\(362\) −1.77617 3.88927i −0.0933533 0.204415i
\(363\) −23.6537 + 6.94535i −1.24150 + 0.364536i
\(364\) −2.01001 + 4.40131i −0.105353 + 0.230691i
\(365\) −3.12412 + 21.7288i −0.163524 + 1.13734i
\(366\) −5.03348 + 3.23482i −0.263104 + 0.169087i
\(367\) 7.64902 0.399276 0.199638 0.979870i \(-0.436023\pi\)
0.199638 + 0.979870i \(0.436023\pi\)
\(368\) 0.792676 + 4.72987i 0.0413211 + 0.246561i
\(369\) 12.0127 0.625358
\(370\) −0.905562 + 0.581969i −0.0470779 + 0.0302552i
\(371\) −1.68260 + 11.7028i −0.0873563 + 0.607577i
\(372\) 1.47195 3.22311i 0.0763168 0.167111i
\(373\) 8.33763 2.44815i 0.431706 0.126760i −0.0586578 0.998278i \(-0.518682\pi\)
0.490364 + 0.871518i \(0.336864\pi\)
\(374\) 1.55521 + 3.40544i 0.0804182 + 0.176091i
\(375\) 18.6625 + 21.5376i 0.963726 + 1.11220i
\(376\) −0.950307 6.60953i −0.0490084 0.340861i
\(377\) 17.4123 + 5.11270i 0.896778 + 0.263318i
\(378\) 0.396679 0.457792i 0.0204030 0.0235463i
\(379\) −4.68399 3.01022i −0.240600 0.154625i 0.414784 0.909920i \(-0.363857\pi\)
−0.655385 + 0.755295i \(0.727493\pi\)
\(380\) 4.93321 + 3.17038i 0.253068 + 0.162637i
\(381\) 0.403535 0.465704i 0.0206737 0.0238587i
\(382\) −7.76793 2.28087i −0.397442 0.116699i
\(383\) −2.38181 16.5659i −0.121705 0.846476i −0.955624 0.294589i \(-0.904817\pi\)
0.833919 0.551887i \(-0.186092\pi\)
\(384\) 1.56994 + 1.81180i 0.0801155 + 0.0924582i
\(385\) 0.720709 + 1.57813i 0.0367307 + 0.0804291i
\(386\) −21.2103 + 6.22789i −1.07957 + 0.316991i
\(387\) −8.95115 + 19.6003i −0.455013 + 0.996339i
\(388\) −1.34240 + 9.33657i −0.0681498 + 0.473992i
\(389\) 16.9150 10.8706i 0.857626 0.551163i −0.0363184 0.999340i \(-0.511563\pi\)
0.893945 + 0.448177i \(0.147927\pi\)
\(390\) 23.7682 1.20355
\(391\) 2.52911 21.0538i 0.127902 1.06474i
\(392\) 1.00000 0.0505076
\(393\) 3.11390 2.00118i 0.157075 0.100946i
\(394\) −1.00879 + 7.01626i −0.0508219 + 0.353474i
\(395\) 5.41515 11.8575i 0.272466 0.596617i
\(396\) −2.23194 + 0.655357i −0.112159 + 0.0329329i
\(397\) 11.5362 + 25.2608i 0.578985 + 1.26780i 0.941873 + 0.335968i \(0.109064\pi\)
−0.362888 + 0.931833i \(0.618209\pi\)
\(398\) −0.154020 0.177748i −0.00772030 0.00890970i
\(399\) 0.976424 + 6.79118i 0.0488823 + 0.339984i
\(400\) 0.769026 + 0.225806i 0.0384513 + 0.0112903i
\(401\) 1.74102 2.00924i 0.0869423 0.100337i −0.710611 0.703585i \(-0.751582\pi\)
0.797554 + 0.603248i \(0.206127\pi\)
\(402\) −22.4371 14.4194i −1.11906 0.719176i
\(403\) −6.01616 3.86635i −0.299686 0.192597i
\(404\) 10.1412 11.7036i 0.504545 0.582276i
\(405\) −19.0590 5.59623i −0.947049 0.278079i
\(406\) −0.533762 3.71240i −0.0264902 0.184243i
\(407\) −0.291288 0.336165i −0.0144386 0.0166631i
\(408\) −4.40345 9.64221i −0.218003 0.477360i
\(409\) −7.49279 + 2.20008i −0.370495 + 0.108787i −0.461679 0.887047i \(-0.652753\pi\)
0.0911846 + 0.995834i \(0.470935\pi\)
\(410\) −3.72187 + 8.14976i −0.183810 + 0.402488i
\(411\) −4.21598 + 29.3228i −0.207959 + 1.44639i
\(412\) −10.5895 + 6.80546i −0.521707 + 0.335281i
\(413\) −7.66852 −0.377343
\(414\) 12.7249 + 3.41717i 0.625394 + 0.167945i
\(415\) −20.6997 −1.01611
\(416\) 4.07045 2.61592i 0.199570 0.128256i
\(417\) 4.08382 28.4036i 0.199985 1.39093i
\(418\) −1.00662 + 2.20420i −0.0492356 + 0.107811i
\(419\) −4.19963 + 1.23312i −0.205165 + 0.0602420i −0.382700 0.923872i \(-0.625006\pi\)
0.177535 + 0.984114i \(0.443188\pi\)
\(420\) −2.04062 4.46834i −0.0995722 0.218033i
\(421\) 10.1277 + 11.6880i 0.493594 + 0.569638i 0.946822 0.321756i \(-0.104273\pi\)
−0.453228 + 0.891395i \(0.649728\pi\)
\(422\) −2.47772 17.2329i −0.120613 0.838885i
\(423\) −17.6022 5.16846i −0.855847 0.251299i
\(424\) 7.74248 8.93530i 0.376008 0.433936i
\(425\) −2.98129 1.91596i −0.144614 0.0929376i
\(426\) −20.8774 13.4171i −1.01151 0.650061i
\(427\) 1.63440 1.88619i 0.0790940 0.0912794i
\(428\) −2.70850 0.795288i −0.130920 0.0384417i
\(429\) 1.39775 + 9.72155i 0.0674839 + 0.469361i
\(430\) −10.5240 12.1454i −0.507515 0.585703i
\(431\) −14.8865 32.5970i −0.717059 1.57014i −0.817981 0.575246i \(-0.804907\pi\)
0.100922 0.994894i \(-0.467821\pi\)
\(432\) −0.581209 + 0.170658i −0.0279634 + 0.00821080i
\(433\) 13.7987 30.2150i 0.663125 1.45204i −0.216457 0.976292i \(-0.569450\pi\)
0.879581 0.475748i \(-0.157823\pi\)
\(434\) −0.210342 + 1.46296i −0.0100968 + 0.0702245i
\(435\) −15.4991 + 9.96064i −0.743123 + 0.477576i
\(436\) −8.72293 −0.417753
\(437\) 11.3708 7.68680i 0.543938 0.367709i
\(438\) 25.6841 1.22723
\(439\) −4.25309 + 2.73330i −0.202989 + 0.130453i −0.638186 0.769882i \(-0.720315\pi\)
0.435197 + 0.900335i \(0.356679\pi\)
\(440\) 0.246904 1.71725i 0.0117707 0.0818669i
\(441\) 1.14128 2.49906i 0.0543467 0.119003i
\(442\) −20.5275 + 6.02741i −0.976392 + 0.286695i
\(443\) −0.846468 1.85351i −0.0402169 0.0880627i 0.888457 0.458959i \(-0.151778\pi\)
−0.928674 + 0.370897i \(0.879050\pi\)
\(444\) 0.824757 + 0.951820i 0.0391412 + 0.0451714i
\(445\) −3.27111 22.7511i −0.155066 1.07851i
\(446\) −28.2581 8.29733i −1.33806 0.392890i
\(447\) 30.9376 35.7038i 1.46330 1.68873i
\(448\) −0.841254 0.540641i −0.0397455 0.0255429i
\(449\) 24.4459 + 15.7104i 1.15367 + 0.741420i 0.970367 0.241636i \(-0.0776839\pi\)
0.183306 + 0.983056i \(0.441320\pi\)
\(450\) 1.44198 1.66413i 0.0679755 0.0784479i
\(451\) −3.55225 1.04303i −0.167269 0.0491146i
\(452\) 2.09303 + 14.5574i 0.0984480 + 0.684721i
\(453\) 6.70766 + 7.74105i 0.315153 + 0.363706i
\(454\) 9.12846 + 19.9885i 0.428420 + 0.938109i
\(455\) −9.51273 + 2.79319i −0.445964 + 0.130947i
\(456\) 2.85017 6.24100i 0.133471 0.292262i
\(457\) 0.0153365 0.106668i 0.000717411 0.00498970i −0.989460 0.144809i \(-0.953743\pi\)
0.990177 + 0.139820i \(0.0446522\pi\)
\(458\) −7.58364 + 4.87371i −0.354360 + 0.227734i
\(459\) 2.67836 0.125015
\(460\) −6.26081 + 7.57416i −0.291912 + 0.353147i
\(461\) −21.9711 −1.02330 −0.511648 0.859195i \(-0.670965\pi\)
−0.511648 + 0.859195i \(0.670965\pi\)
\(462\) 1.70762 1.09742i 0.0794454 0.0510565i
\(463\) 2.09407 14.5646i 0.0973196 0.676873i −0.881505 0.472174i \(-0.843469\pi\)
0.978825 0.204699i \(-0.0656214\pi\)
\(464\) −1.55805 + 3.41164i −0.0723304 + 0.158382i
\(465\) 6.96625 2.04547i 0.323052 0.0948566i
\(466\) 2.05330 + 4.49611i 0.0951175 + 0.208278i
\(467\) 10.8380 + 12.5077i 0.501523 + 0.578788i 0.948908 0.315553i \(-0.102190\pi\)
−0.447385 + 0.894341i \(0.647645\pi\)
\(468\) −1.89181 13.1578i −0.0874487 0.608219i
\(469\) 10.6745 + 3.13432i 0.492903 + 0.144729i
\(470\) 8.96005 10.3404i 0.413296 0.476969i
\(471\) −39.1530 25.1621i −1.80408 1.15941i
\(472\) 6.45117 + 4.14592i 0.296939 + 0.190831i
\(473\) 4.34876 5.01874i 0.199956 0.230762i
\(474\) −14.6337 4.29686i −0.672150 0.197361i
\(475\) −0.326441 2.27045i −0.0149781 0.104175i
\(476\) 2.89552 + 3.34161i 0.132716 + 0.153162i
\(477\) −13.4935 29.5466i −0.617824 1.35285i
\(478\) 20.7936 6.10556i 0.951079 0.279262i
\(479\) 4.54086 9.94309i 0.207477 0.454311i −0.777074 0.629409i \(-0.783297\pi\)
0.984551 + 0.175098i \(0.0560242\pi\)
\(480\) −0.699086 + 4.86225i −0.0319088 + 0.221930i
\(481\) 2.13839 1.37426i 0.0975021 0.0626608i
\(482\) 25.0304 1.14010
\(483\) −11.4942 + 0.267250i −0.523005 + 0.0121603i
\(484\) −10.2831 −0.467414
\(485\) −16.2594 + 10.4493i −0.738302 + 0.474478i
\(486\) −3.04884 + 21.2051i −0.138298 + 0.961884i
\(487\) 9.87364 21.6203i 0.447417 0.979707i −0.542760 0.839888i \(-0.682621\pi\)
0.990177 0.139819i \(-0.0446522\pi\)
\(488\) −2.39470 + 0.703146i −0.108403 + 0.0318299i
\(489\) −3.30523 7.23744i −0.149468 0.327288i
\(490\) 1.34183 + 1.54855i 0.0606176 + 0.0699564i
\(491\) −3.72795 25.9285i −0.168240 1.17014i −0.882520 0.470275i \(-0.844155\pi\)
0.714280 0.699860i \(-0.246754\pi\)
\(492\) 10.0579 + 2.95326i 0.453444 + 0.133143i
\(493\) 10.8599 12.5330i 0.489104 0.564456i
\(494\) −11.6493 7.48652i −0.524125 0.336834i
\(495\) −4.00973 2.57690i −0.180224 0.115823i
\(496\) 0.967889 1.11700i 0.0434595 0.0501549i
\(497\) 9.93250 + 2.91645i 0.445534 + 0.130820i
\(498\) 3.44668 + 23.9722i 0.154449 + 1.07422i
\(499\) −7.86675 9.07871i −0.352164 0.406419i 0.551835 0.833953i \(-0.313928\pi\)
−0.903999 + 0.427534i \(0.859382\pi\)
\(500\) 4.93821 + 10.8132i 0.220843 + 0.483580i
\(501\) 30.5628 8.97404i 1.36544 0.400931i
\(502\) 4.70406 10.3005i 0.209953 0.459732i
\(503\) 2.05241 14.2749i 0.0915127 0.636485i −0.891510 0.453001i \(-0.850353\pi\)
0.983023 0.183484i \(-0.0587374\pi\)
\(504\) −2.31120 + 1.48532i −0.102949 + 0.0661613i
\(505\) 31.7314 1.41203
\(506\) −3.46613 2.11535i −0.154088 0.0940387i
\(507\) −24.9604 −1.10853
\(508\) 0.216235 0.138966i 0.00959387 0.00616561i
\(509\) 5.47513 38.0803i 0.242681 1.68788i −0.395874 0.918305i \(-0.629558\pi\)
0.638555 0.769576i \(-0.279533\pi\)
\(510\) 9.02278 19.7571i 0.399535 0.874861i
\(511\) −10.2795 + 3.01834i −0.454739 + 0.133523i
\(512\) 0.415415 + 0.909632i 0.0183589 + 0.0402004i
\(513\) 1.13526 + 1.31016i 0.0501229 + 0.0578449i
\(514\) 1.24340 + 8.64801i 0.0548439 + 0.381447i
\(515\) −24.7479 7.26663i −1.09052 0.320206i
\(516\) −12.3131 + 14.2101i −0.542055 + 0.625565i
\(517\) 4.75632 + 3.05670i 0.209183 + 0.134434i
\(518\) −0.441948 0.284022i −0.0194181 0.0124792i
\(519\) 5.82388 6.72111i 0.255640 0.295024i
\(520\) 9.51273 + 2.79319i 0.417161 + 0.122489i
\(521\) −1.77312 12.3323i −0.0776817 0.540288i −0.991085 0.133232i \(-0.957464\pi\)
0.913403 0.407056i \(-0.133445\pi\)
\(522\) 6.74772 + 7.78729i 0.295340 + 0.340840i
\(523\) −12.6639 27.7302i −0.553756 1.21256i −0.955006 0.296587i \(-0.904151\pi\)
0.401250 0.915969i \(-0.368576\pi\)
\(524\) 1.48145 0.434992i 0.0647173 0.0190027i
\(525\) −0.798205 + 1.74783i −0.0348365 + 0.0762814i
\(526\) −0.514006 + 3.57499i −0.0224117 + 0.155877i
\(527\) −5.49770 + 3.53316i −0.239484 + 0.153907i
\(528\) −2.02985 −0.0883377
\(529\) 10.5166 + 20.4549i 0.457243 + 0.889342i
\(530\) 24.2258 1.05230
\(531\) 17.7235 11.3902i 0.769134 0.494292i
\(532\) −0.407292 + 2.83278i −0.0176583 + 0.122816i
\(533\) 8.78880 19.2448i 0.380685 0.833584i
\(534\) −25.8032 + 7.57649i −1.11661 + 0.327867i
\(535\) −2.40280 5.26139i −0.103882 0.227470i
\(536\) −7.28543 8.40783i −0.314683 0.363163i
\(537\) 5.89438 + 40.9963i 0.254361 + 1.76912i
\(538\) 14.6289 + 4.29543i 0.630696 + 0.185189i
\(539\) −0.554471 + 0.639894i −0.0238828 + 0.0275622i
\(540\) −1.04415 0.671038i −0.0449333 0.0288769i
\(541\) 19.6717 + 12.6423i 0.845754 + 0.543533i 0.890248 0.455477i \(-0.150531\pi\)
−0.0444939 + 0.999010i \(0.514168\pi\)
\(542\) −16.2274 + 18.7274i −0.697025 + 0.804410i
\(543\) −9.83505 2.88783i −0.422062 0.123929i
\(544\) −0.629257 4.37658i −0.0269792 0.187644i
\(545\) −11.7047 13.5079i −0.501372 0.578615i
\(546\) 4.81871 + 10.5515i 0.206222 + 0.451563i
\(547\) −11.4753 + 3.36946i −0.490649 + 0.144068i −0.517693 0.855567i \(-0.673209\pi\)
0.0270434 + 0.999634i \(0.491391\pi\)
\(548\) −5.13331 + 11.2404i −0.219284 + 0.480166i
\(549\) −0.975819 + 6.78697i −0.0416469 + 0.289661i
\(550\) −0.570895 + 0.366892i −0.0243431 + 0.0156443i
\(551\) 10.7338 0.457275
\(552\) 9.81404 + 5.98942i 0.417713 + 0.254927i
\(553\) 6.36181 0.270532
\(554\) 19.8998 12.7888i 0.845461 0.543345i
\(555\) −0.367261 + 2.55435i −0.0155894 + 0.108426i
\(556\) 4.97239 10.8880i 0.210876 0.461755i
\(557\) 10.1197 2.97140i 0.428784 0.125902i −0.0602173 0.998185i \(-0.519179\pi\)
0.489002 + 0.872283i \(0.337361\pi\)
\(558\) −1.68682 3.69362i −0.0714089 0.156364i
\(559\) 24.8514 + 28.6801i 1.05110 + 1.21304i
\(560\) −0.291607 2.02817i −0.0123226 0.0857058i
\(561\) 8.61158 + 2.52859i 0.363581 + 0.106757i
\(562\) 16.5826 19.1374i 0.699496 0.807262i
\(563\) −15.3892 9.89003i −0.648577 0.416815i 0.174569 0.984645i \(-0.444147\pi\)
−0.823146 + 0.567830i \(0.807783\pi\)
\(564\) −13.4671 8.65477i −0.567067 0.364432i
\(565\) −19.7343 + 22.7746i −0.830229 + 0.958136i
\(566\) 20.5505 + 6.03417i 0.863802 + 0.253635i
\(567\) −1.37962 9.59550i −0.0579388 0.402973i
\(568\) −6.77900 7.82339i −0.284441 0.328262i
\(569\) −1.51236 3.31160i −0.0634013 0.138829i 0.875279 0.483618i \(-0.160678\pi\)
−0.938680 + 0.344789i \(0.887950\pi\)
\(570\) 13.4889 3.96071i 0.564989 0.165896i
\(571\) 15.4982 33.9362i 0.648577 1.42019i −0.244216 0.969721i \(-0.578531\pi\)
0.892794 0.450466i \(-0.148742\pi\)
\(572\) −0.583037 + 4.05511i −0.0243780 + 0.169553i
\(573\) −16.3276 + 10.4931i −0.682097 + 0.438357i
\(574\) −4.37252 −0.182505
\(575\) 3.84278 0.0893478i 0.160255 0.00372606i
\(576\) 2.74733 0.114472
\(577\) −23.0141 + 14.7903i −0.958089 + 0.615726i −0.923469 0.383674i \(-0.874659\pi\)
−0.0346204 + 0.999401i \(0.511022\pi\)
\(578\) −0.362958 + 2.52443i −0.0150971 + 0.105002i
\(579\) −22.0150 + 48.2062i −0.914913 + 2.00338i
\(580\) −7.37373 + 2.16512i −0.306177 + 0.0899018i
\(581\) −4.19662 9.18931i −0.174105 0.381237i
\(582\) 14.8085 + 17.0900i 0.613834 + 0.708402i
\(583\) 1.42466 + 9.90873i 0.0590034 + 0.410378i
\(584\) 10.2795 + 3.01834i 0.425369 + 0.124900i
\(585\) 17.8370 20.5850i 0.737471 0.851086i
\(586\) 10.0172 + 6.43765i 0.413806 + 0.265937i
\(587\) 23.6883 + 15.2236i 0.977722 + 0.628344i 0.928848 0.370461i \(-0.120800\pi\)
0.0488738 + 0.998805i \(0.484437\pi\)
\(588\) 1.56994 1.81180i 0.0647431 0.0747175i
\(589\) −4.05858 1.19171i −0.167231 0.0491034i
\(590\) 2.23619 + 15.5531i 0.0920626 + 0.640310i
\(591\) 11.1284 + 12.8428i 0.457759 + 0.528282i
\(592\) 0.218236 + 0.477870i 0.00896944 + 0.0196403i
\(593\) 32.6300 9.58103i 1.33995 0.393446i 0.468301 0.883569i \(-0.344866\pi\)
0.871653 + 0.490123i \(0.163048\pi\)
\(594\) 0.213060 0.466537i 0.00874198 0.0191423i
\(595\) −1.28936 + 8.96772i −0.0528588 + 0.367641i
\(596\) 16.5780 10.6540i 0.679059 0.436405i
\(597\) −0.563845 −0.0230766
\(598\) 14.7842 17.8856i 0.604572 0.731396i
\(599\) 26.1591 1.06883 0.534417 0.845221i \(-0.320531\pi\)
0.534417 + 0.845221i \(0.320531\pi\)
\(600\) 1.61644 1.03882i 0.0659908 0.0424097i
\(601\) −1.69407 + 11.7825i −0.0691027 + 0.480620i 0.925656 + 0.378367i \(0.123514\pi\)
−0.994758 + 0.102253i \(0.967395\pi\)
\(602\) 3.25813 7.13431i 0.132791 0.290773i
\(603\) −29.3264 + 8.61100i −1.19426 + 0.350667i
\(604\) 1.77489 + 3.88646i 0.0722192 + 0.158138i
\(605\) −13.7981 15.9239i −0.560974 0.647398i
\(606\) −5.28354 36.7478i −0.214629 1.49278i
\(607\) −44.8360 13.1650i −1.81984 0.534352i −0.820530 0.571603i \(-0.806322\pi\)
−0.999306 + 0.0372511i \(0.988140\pi\)
\(608\) 1.87415 2.16288i 0.0760068 0.0877165i
\(609\) −7.56411 4.86116i −0.306513 0.196984i
\(610\) −4.30212 2.76481i −0.174188 0.111944i
\(611\) −21.1582 + 24.4179i −0.855969 + 0.987841i
\(612\) −11.6555 3.42236i −0.471145 0.138341i
\(613\) 2.69593 + 18.7506i 0.108888 + 0.757331i 0.968970 + 0.247177i \(0.0795028\pi\)
−0.860083 + 0.510155i \(0.829588\pi\)
\(614\) 20.0429 + 23.1308i 0.808866 + 0.933481i
\(615\) 8.92266 + 19.5379i 0.359796 + 0.787844i
\(616\) 0.812404 0.238543i 0.0327327 0.00961118i
\(617\) −4.59525 + 10.0622i −0.184998 + 0.405089i −0.979294 0.202442i \(-0.935112\pi\)
0.794297 + 0.607530i \(0.207840\pi\)
\(618\) −4.29469 + 29.8702i −0.172758 + 1.20156i
\(619\) −20.4241 + 13.1258i −0.820915 + 0.527570i −0.882379 0.470539i \(-0.844059\pi\)
0.0614638 + 0.998109i \(0.480423\pi\)
\(620\) 3.02847 0.121626
\(621\) −2.40672 + 1.62697i −0.0965784 + 0.0652882i
\(622\) 14.8780 0.596553
\(623\) 9.43680 6.06467i 0.378078 0.242976i
\(624\) 1.65082 11.4817i 0.0660856 0.459635i
\(625\) −8.45376 + 18.5111i −0.338150 + 0.740446i
\(626\) −7.11746 + 2.08988i −0.284471 + 0.0835282i
\(627\) 2.41324 + 5.28426i 0.0963755 + 0.211033i
\(628\) −12.7132 14.6718i −0.507312 0.585469i
\(629\) −0.330576 2.29921i −0.0131809 0.0916755i
\(630\) −5.40132 1.58597i −0.215194 0.0631866i
\(631\) −19.9481 + 23.0213i −0.794120 + 0.916463i −0.998043 0.0625237i \(-0.980085\pi\)
0.203924 + 0.978987i \(0.434631\pi\)
\(632\) −5.35190 3.43946i −0.212887 0.136814i
\(633\) −35.1125 22.5654i −1.39560 0.896895i
\(634\) −20.6257 + 23.8034i −0.819152 + 0.945352i
\(635\) 0.505345 + 0.148383i 0.0200540 + 0.00588839i
\(636\) −4.03380 28.0557i −0.159951 1.11248i
\(637\) −3.16858 3.65674i −0.125544 0.144885i
\(638\) −1.31920 2.88864i −0.0522276 0.114362i
\(639\) −27.2878 + 8.01243i −1.07949 + 0.316967i
\(640\) −0.851196 + 1.86386i −0.0336465 + 0.0736755i
\(641\) −0.363901 + 2.53099i −0.0143732 + 0.0999680i −0.995745 0.0921493i \(-0.970626\pi\)
0.981372 + 0.192117i \(0.0615354\pi\)
\(642\) −5.69308 + 3.65872i −0.224688 + 0.144398i
\(643\) 27.5611 1.08690 0.543452 0.839440i \(-0.317117\pi\)
0.543452 + 0.839440i \(0.317117\pi\)
\(644\) −4.63173 1.24382i −0.182516 0.0490132i
\(645\) −38.5271 −1.51700
\(646\) −10.6454 + 6.84135i −0.418836 + 0.269169i
\(647\) 0.825315 5.74019i 0.0324465 0.225670i −0.967146 0.254222i \(-0.918181\pi\)
0.999592 + 0.0285521i \(0.00908964\pi\)
\(648\) −4.02711 + 8.81813i −0.158200 + 0.346409i
\(649\) −6.22994 + 1.82927i −0.244546 + 0.0718053i
\(650\) −1.61101 3.52761i −0.0631889 0.138364i
\(651\) 2.32038 + 2.67786i 0.0909427 + 0.104953i
\(652\) −0.472320 3.28506i −0.0184975 0.128653i
\(653\) 9.81690 + 2.88250i 0.384165 + 0.112801i 0.468112 0.883669i \(-0.344934\pi\)
−0.0839469 + 0.996470i \(0.526753\pi\)
\(654\) −13.6944 + 15.8042i −0.535495 + 0.617994i
\(655\) 2.66145 + 1.71041i 0.103992 + 0.0668313i
\(656\) 3.67840 + 2.36396i 0.143617 + 0.0922972i
\(657\) 19.2748 22.2443i 0.751982 0.867833i
\(658\) 6.40701 + 1.88127i 0.249771 + 0.0733395i
\(659\) −4.38260 30.4817i −0.170722 1.18740i −0.877364 0.479826i \(-0.840700\pi\)
0.706642 0.707571i \(-0.250209\pi\)
\(660\) −2.72370 3.14332i −0.106020 0.122354i
\(661\) 10.6879 + 23.4032i 0.415711 + 0.910279i 0.995433 + 0.0954651i \(0.0304338\pi\)
−0.579722 + 0.814814i \(0.696839\pi\)
\(662\) −28.5695 + 8.38876i −1.11039 + 0.326039i
\(663\) −21.3063 + 46.6544i −0.827469 + 1.81191i
\(664\) −1.43770 + 9.99940i −0.0557935 + 0.388052i
\(665\) −4.93321 + 3.17038i −0.191302 + 0.122942i
\(666\) 1.44329 0.0559265
\(667\) −2.14530 + 17.8587i −0.0830662 + 0.691493i
\(668\) 13.2867 0.514079
\(669\) −59.3965 + 38.1718i −2.29640 + 1.47581i
\(670\) 3.24417 22.5637i 0.125333 0.871712i
\(671\) 0.877851 1.92223i 0.0338891 0.0742067i
\(672\) −2.30025 + 0.675414i −0.0887340 + 0.0260547i
\(673\) 2.97302 + 6.51001i 0.114601 + 0.250942i 0.958238 0.285973i \(-0.0923168\pi\)
−0.843636 + 0.536915i \(0.819589\pi\)
\(674\) 1.65024 + 1.90447i 0.0635647 + 0.0733576i
\(675\) 0.0690940 + 0.480559i 0.00265943 + 0.0184967i
\(676\) −9.98988 2.93329i −0.384226 0.112819i
\(677\) 33.4584 38.6131i 1.28591 1.48402i 0.499508 0.866310i \(-0.333514\pi\)
0.786404 0.617712i \(-0.211940\pi\)
\(678\) 29.6610 + 19.0620i 1.13912 + 0.732071i
\(679\) −7.93519 5.09964i −0.304525 0.195706i
\(680\) 5.93300 6.84704i 0.227520 0.262572i
\(681\) 50.5464 + 14.8418i 1.93694 + 0.568738i
\(682\) 0.178097 + 1.23869i 0.00681969 + 0.0474320i
\(683\) 19.4824 + 22.4839i 0.745473 + 0.860322i 0.994121 0.108272i \(-0.0345317\pi\)
−0.248648 + 0.968594i \(0.579986\pi\)
\(684\) −3.26624 7.15207i −0.124888 0.273466i
\(685\) −24.2943 + 7.13346i −0.928239 + 0.272555i
\(686\) −0.415415 + 0.909632i −0.0158606 + 0.0347299i
\(687\) −3.07563 + 21.3915i −0.117343 + 0.816136i
\(688\) −6.59801 + 4.24029i −0.251547 + 0.161659i
\(689\) −57.2067 −2.17940
\(690\) 3.89382 + 23.2343i 0.148235 + 0.884515i
\(691\) −38.0862 −1.44887 −0.724433 0.689345i \(-0.757899\pi\)
−0.724433 + 0.689345i \(0.757899\pi\)
\(692\) 3.12074 2.00558i 0.118633 0.0762406i
\(693\) 0.331048 2.30249i 0.0125755 0.0874643i
\(694\) −14.6693 + 32.1212i −0.556837 + 1.21930i
\(695\) 23.5327 6.90984i 0.892648 0.262105i
\(696\) 3.73519 + 8.17893i 0.141582 + 0.310022i
\(697\) −12.6607 14.6112i −0.479559 0.553440i
\(698\) −3.82575 26.6087i −0.144807 1.00715i
\(699\) 11.3696 + 3.33842i 0.430038 + 0.126271i
\(700\) −0.524866 + 0.605728i −0.0198381 + 0.0228943i
\(701\) 43.4869 + 27.9474i 1.64248 + 1.05556i 0.938467 + 0.345370i \(0.112246\pi\)
0.704012 + 0.710188i \(0.251390\pi\)
\(702\) 2.46566 + 1.58458i 0.0930603 + 0.0598062i
\(703\) 0.984574 1.13626i 0.0371339 0.0428548i
\(704\) −0.812404 0.238543i −0.0306186 0.00899044i
\(705\) −4.66815 32.4677i −0.175813 1.22280i
\(706\) −7.76610 8.96255i −0.292281 0.337310i
\(707\) 6.43315 + 14.0866i 0.241944 + 0.529783i
\(708\) 17.6395 5.17943i 0.662933 0.194655i
\(709\) 10.6042 23.2199i 0.398248 0.872041i −0.599197 0.800602i \(-0.704513\pi\)
0.997445 0.0714395i \(-0.0227593\pi\)
\(710\) 3.01866 20.9953i 0.113288 0.787938i
\(711\) −14.7034 + 9.44931i −0.551421 + 0.354377i
\(712\) −11.2175 −0.420395
\(713\) 2.79391 6.51442i 0.104633 0.243967i
\(714\) 10.6001 0.396699
\(715\) −7.06188 + 4.53839i −0.264099 + 0.169726i
\(716\) −2.45870 + 17.1006i −0.0918858 + 0.639080i
\(717\) 21.5826 47.2593i 0.806017 1.76493i
\(718\) 12.2600 3.59986i 0.457539 0.134346i
\(719\) 3.02078 + 6.61458i 0.112656 + 0.246682i 0.957559 0.288237i \(-0.0930692\pi\)
−0.844903 + 0.534920i \(0.820342\pi\)
\(720\) 3.68644 + 4.25438i 0.137385 + 0.158551i
\(721\) −1.79142 12.4596i −0.0667161 0.464021i
\(722\) 10.3716 + 3.04539i 0.385992 + 0.113338i
\(723\) 39.2962 45.3502i 1.46144 1.68659i
\(724\) −3.59690 2.31159i −0.133678 0.0859095i
\(725\) 2.52886 + 1.62520i 0.0939194 + 0.0603583i
\(726\) −16.1438 + 18.6309i −0.599153 + 0.691459i
\(727\) −14.0831 4.13517i −0.522313 0.153365i 0.00993930 0.999951i \(-0.496836\pi\)
−0.532253 + 0.846586i \(0.678654\pi\)
\(728\) 0.688598 + 4.78931i 0.0255212 + 0.177504i
\(729\) 14.5880 + 16.8355i 0.540297 + 0.623535i
\(730\) 9.11927 + 19.9684i 0.337519 + 0.739065i
\(731\) 33.2741 9.77015i 1.23069 0.361362i
\(732\) −2.48556 + 5.44261i −0.0918688 + 0.201165i
\(733\) −2.33442 + 16.2363i −0.0862238 + 0.599700i 0.900200 + 0.435478i \(0.143421\pi\)
−0.986423 + 0.164222i \(0.947489\pi\)
\(734\) 6.43477 4.13537i 0.237512 0.152639i
\(735\) 4.91225 0.181191
\(736\) 3.22400 + 3.55047i 0.118838 + 0.130872i
\(737\) 9.41968 0.346978
\(738\) 10.1058 6.49458i 0.371998 0.239069i
\(739\) −4.67618 + 32.5236i −0.172016 + 1.19640i 0.702601 + 0.711584i \(0.252022\pi\)
−0.874617 + 0.484814i \(0.838887\pi\)
\(740\) −0.447171 + 0.979168i −0.0164383 + 0.0359949i
\(741\) −31.8527 + 9.35279i −1.17014 + 0.343583i
\(742\) 4.91149 + 10.7547i 0.180307 + 0.394816i
\(743\) −2.85745 3.29767i −0.104829 0.120980i 0.700910 0.713250i \(-0.252777\pi\)
−0.805740 + 0.592270i \(0.798232\pi\)
\(744\) −0.504266 3.50725i −0.0184873 0.128582i
\(745\) 38.7430 + 11.3760i 1.41943 + 0.416783i
\(746\) 5.69049 6.56717i 0.208344 0.240441i
\(747\) 23.3483 + 15.0050i 0.854268 + 0.549005i
\(748\) 3.14945 + 2.02403i 0.115155 + 0.0740058i
\(749\) 1.84857 2.13337i 0.0675453 0.0779515i
\(750\) 27.3440 + 8.02892i 0.998462 + 0.293175i
\(751\) 7.47383 + 51.9816i 0.272724 + 1.89684i 0.419645 + 0.907688i \(0.362155\pi\)
−0.146921 + 0.989148i \(0.546936\pi\)
\(752\) −4.37283 5.04652i −0.159461 0.184028i
\(753\) −11.2773 24.6939i −0.410968 0.899895i
\(754\) 17.4123 5.11270i 0.634118 0.186194i
\(755\) −3.63679 + 7.96347i −0.132356 + 0.289820i
\(756\) 0.0862066 0.599580i 0.00313530 0.0218065i
\(757\) −26.3365 + 16.9254i −0.957215 + 0.615165i −0.923226 0.384258i \(-0.874457\pi\)
−0.0339889 + 0.999422i \(0.510821\pi\)
\(758\) −5.56787 −0.202234
\(759\) −9.27420 + 2.95898i −0.336632 + 0.107404i
\(760\) 5.86412 0.212714
\(761\) −31.6265 + 20.3251i −1.14646 + 0.736784i −0.968931 0.247332i \(-0.920446\pi\)
−0.177527 + 0.984116i \(0.556810\pi\)
\(762\) 0.0876964 0.609942i 0.00317691 0.0220959i
\(763\) 3.62364 7.93466i 0.131184 0.287254i
\(764\) −7.76793 + 2.28087i −0.281034 + 0.0825190i
\(765\) −10.3399 22.6413i −0.373841 0.818598i
\(766\) −10.9599 12.6484i −0.395997 0.457005i
\(767\) −5.28053 36.7269i −0.190669 1.32613i
\(768\) 2.30025 + 0.675414i 0.0830031 + 0.0243719i
\(769\) 15.0375 17.3542i 0.542266 0.625808i −0.416797 0.908999i \(-0.636848\pi\)
0.959064 + 0.283191i \(0.0913930\pi\)
\(770\) 1.45950 + 0.937965i 0.0525968 + 0.0338019i
\(771\) 17.6205 + 11.3240i 0.634588 + 0.407825i
\(772\) −14.4762 + 16.7064i −0.521008 + 0.601275i
\(773\) −12.3573 3.62843i −0.444461 0.130506i 0.0518410 0.998655i \(-0.483491\pi\)
−0.496302 + 0.868150i \(0.665309\pi\)
\(774\) 3.06653 + 21.3282i 0.110224 + 0.766625i
\(775\) −0.775755 0.895270i −0.0278660 0.0321590i
\(776\) 3.91843 + 8.58018i 0.140664 + 0.308010i
\(777\) −1.20842 + 0.354825i −0.0433519 + 0.0127293i
\(778\) 8.35272 18.2899i 0.299460 0.655725i
\(779\) 1.78089 12.3864i 0.0638070 0.443787i
\(780\) 19.9951 12.8501i 0.715939 0.460106i
\(781\) 8.76490 0.313633
\(782\) −9.25492 19.0789i −0.330955 0.682261i
\(783\) −2.27190 −0.0811909
\(784\) 0.841254 0.540641i 0.0300448 0.0193086i
\(785\) 5.66113 39.3740i 0.202054 1.40532i
\(786\) 1.53766 3.36700i 0.0548464 0.120097i
\(787\) −16.9510 + 4.97726i −0.604238 + 0.177420i −0.569521 0.821977i \(-0.692871\pi\)
−0.0347169 + 0.999397i \(0.511053\pi\)
\(788\) 2.94463 + 6.44785i 0.104898 + 0.229695i
\(789\) 5.67023 + 6.54379i 0.201865 + 0.232965i
\(790\) −1.85515 12.9028i −0.0660032 0.459062i
\(791\) −14.1113 4.14346i −0.501741 0.147324i
\(792\) −1.52331 + 1.75800i −0.0541286 + 0.0624678i
\(793\) 10.1590 + 6.52880i 0.360757 + 0.231844i
\(794\) 23.3619 + 15.0138i 0.829082 + 0.532818i
\(795\) 38.0330 43.8924i 1.34889 1.55670i
\(796\) −0.225667 0.0662619i −0.00799857 0.00234859i
\(797\) −3.73214 25.9576i −0.132199 0.919466i −0.942679 0.333700i \(-0.891703\pi\)
0.810480 0.585766i \(-0.199206\pi\)
\(798\) 4.49301 + 5.18521i 0.159051 + 0.183554i
\(799\) 12.2652 + 26.8570i 0.433911 + 0.950132i
\(800\) 0.769026 0.225806i 0.0271892 0.00798347i
\(801\) −12.8024 + 28.0333i −0.452350 + 0.990508i
\(802\) 0.378359 2.63155i 0.0133603 0.0929232i
\(803\) −7.63111 + 4.90422i −0.269296 + 0.173066i
\(804\) −26.6710 −0.940613
\(805\) −4.28887 8.84145i −0.151163 0.311620i
\(806\) −7.15142 −0.251898
\(807\) 30.7489 19.7611i 1.08241 0.695624i
\(808\) 2.20390 15.3285i 0.0775329 0.539253i
\(809\) −11.7142 + 25.6505i −0.411849 + 0.901823i 0.584081 + 0.811695i \(0.301455\pi\)
−0.995930 + 0.0901279i \(0.971272\pi\)
\(810\) −19.0590 + 5.59623i −0.669665 + 0.196631i
\(811\) 16.1325 + 35.3253i 0.566490 + 1.24044i 0.948645 + 0.316342i \(0.102455\pi\)
−0.382155 + 0.924098i \(0.624818\pi\)
\(812\) −2.45610 2.83450i −0.0861924 0.0994713i
\(813\) 8.45439 + 58.8016i 0.296508 + 2.06226i
\(814\) −0.426792 0.125317i −0.0149590 0.00439237i
\(815\) 4.45331 5.13939i 0.155993 0.180025i
\(816\) −8.91739 5.73086i −0.312171 0.200620i
\(817\) 18.8829 + 12.1353i 0.660629 + 0.424560i
\(818\) −5.11388 + 5.90173i −0.178803 + 0.206349i
\(819\) 12.7546 + 3.74510i 0.445683 + 0.130864i
\(820\) 1.27506 + 8.86821i 0.0445269 + 0.309691i
\(821\) −18.0697 20.8536i −0.630639 0.727796i 0.347052 0.937846i \(-0.387183\pi\)
−0.977691 + 0.210050i \(0.932637\pi\)
\(822\) 12.3064 + 26.9472i 0.429235 + 0.939893i
\(823\) 13.6562 4.00983i 0.476026 0.139774i −0.0349138 0.999390i \(-0.511116\pi\)
0.510940 + 0.859616i \(0.329297\pi\)
\(824\) −5.22914 + 11.4502i −0.182166 + 0.398888i
\(825\) −0.231533 + 1.61035i −0.00806094 + 0.0560651i
\(826\) −6.45117 + 4.14592i −0.224465 + 0.144255i
\(827\) 24.4713 0.850952 0.425476 0.904970i \(-0.360107\pi\)
0.425476 + 0.904970i \(0.360107\pi\)
\(828\) 12.5523 4.00488i 0.436223 0.139179i
\(829\) −0.351641 −0.0122130 −0.00610649 0.999981i \(-0.501944\pi\)
−0.00610649 + 0.999981i \(0.501944\pi\)
\(830\) −17.4137 + 11.1911i −0.604439 + 0.388449i
\(831\) 8.07058 56.1321i 0.279965 1.94720i
\(832\) 2.01001 4.40131i 0.0696845 0.152588i
\(833\) −4.24248 + 1.24570i −0.146993 + 0.0431611i
\(834\) −11.9206 26.1025i −0.412777 0.903856i
\(835\) 17.8285 + 20.5752i 0.616980 + 0.712033i
\(836\) 0.344854 + 2.39851i 0.0119270 + 0.0829543i
\(837\) 0.859031 + 0.252234i 0.0296925 + 0.00871849i
\(838\) −2.86628 + 3.30786i −0.0990139 + 0.114268i
\(839\) 5.80925 + 3.73338i 0.200558 + 0.128891i 0.637065 0.770810i \(-0.280148\pi\)
−0.436507 + 0.899701i \(0.643785\pi\)
\(840\) −4.13245 2.65576i −0.142583 0.0916325i
\(841\) 9.77916 11.2857i 0.337212 0.389164i
\(842\) 14.8390 + 4.35712i 0.511385 + 0.150156i
\(843\) −8.63948 60.0889i −0.297560 2.06957i
\(844\) −11.4012 13.1577i −0.392446 0.452906i
\(845\) −8.86233 19.4058i −0.304874 0.667580i
\(846\) −17.6022 + 5.16846i −0.605175 + 0.177695i
\(847\) 4.27175 9.35383i 0.146779 0.321402i
\(848\) 1.68260 11.7028i 0.0577808 0.401874i
\(849\) 43.1957 27.7602i 1.48247 0.952727i
\(850\) −3.54386 −0.121554
\(851\) 1.69371 + 1.86522i 0.0580596 + 0.0639388i
\(852\) −24.8170 −0.850217
\(853\) 17.9368 11.5273i 0.614146 0.394688i −0.196264 0.980551i \(-0.562881\pi\)
0.810410 + 0.585864i \(0.199245\pi\)
\(854\) 0.355188 2.47039i 0.0121543 0.0845350i
\(855\) 6.69261 14.6548i 0.228882 0.501183i
\(856\) −2.70850 + 0.795288i −0.0925747 + 0.0271824i
\(857\) −4.84244 10.6035i −0.165415 0.362208i 0.808714 0.588202i \(-0.200164\pi\)
−0.974129 + 0.225995i \(0.927437\pi\)
\(858\) 6.43173 + 7.42261i 0.219576 + 0.253404i
\(859\) −3.90733 27.1761i −0.133317 0.927237i −0.941189 0.337880i \(-0.890290\pi\)
0.807873 0.589357i \(-0.200619\pi\)
\(860\) −15.4197 4.52763i −0.525807 0.154391i
\(861\) −6.86457 + 7.92214i −0.233944 + 0.269986i
\(862\) −30.1466 19.3740i −1.02680 0.659882i
\(863\) −37.9708 24.4024i −1.29254 0.830666i −0.300163 0.953888i \(-0.597041\pi\)
−0.992379 + 0.123222i \(0.960677\pi\)
\(864\) −0.396679 + 0.457792i −0.0134953 + 0.0155744i
\(865\) 7.29322 + 2.14148i 0.247977 + 0.0728126i
\(866\) −4.72723 32.8786i −0.160638 1.11726i
\(867\) 4.00395 + 4.62080i 0.135981 + 0.156931i
\(868\) 0.613986 + 1.34444i 0.0208401 + 0.0456334i
\(869\) 5.16836 1.51757i 0.175325 0.0514799i
\(870\) −7.65351 + 16.7588i −0.259478 + 0.568178i
\(871\) −7.66076 + 53.2818i −0.259575 + 1.80538i
\(872\) −7.33819 + 4.71597i −0.248503 + 0.159703i
\(873\) 25.9144 0.877069
\(874\) 5.40992 12.6141i 0.182993 0.426677i
\(875\) −11.8874 −0.401868
\(876\) 21.6068 13.8858i 0.730026 0.469159i
\(877\) 3.21500 22.3608i 0.108563 0.755072i −0.860712 0.509092i \(-0.829981\pi\)
0.969275 0.245980i \(-0.0791097\pi\)
\(878\) −2.10020 + 4.59879i −0.0708782 + 0.155202i
\(879\) 27.3901 8.04246i 0.923845 0.271265i
\(880\) −0.720709 1.57813i −0.0242951 0.0531988i
\(881\) −31.5449 36.4047i −1.06277 1.22651i −0.973063 0.230538i \(-0.925951\pi\)
−0.0897101 0.995968i \(-0.528594\pi\)
\(882\) −0.390986 2.71936i −0.0131652 0.0915657i
\(883\) −18.7429 5.50341i −0.630748 0.185204i −0.0492952 0.998784i \(-0.515697\pi\)
−0.581453 + 0.813580i \(0.697516\pi\)
\(884\) −14.0101 + 16.1686i −0.471212 + 0.543808i
\(885\) 31.6898 + 20.3658i 1.06524 + 0.684588i
\(886\) −1.71417 1.10163i −0.0575888 0.0370101i
\(887\) 19.8185 22.8717i 0.665439 0.767958i −0.318216 0.948018i \(-0.603084\pi\)
0.983656 + 0.180060i \(0.0576292\pi\)
\(888\) 1.20842 + 0.354825i 0.0405520 + 0.0119071i
\(889\) 0.0365804 + 0.254423i 0.00122687 + 0.00853306i
\(890\) −15.0520 17.3709i −0.504544 0.582275i
\(891\) −3.40975 7.46632i −0.114231 0.250131i
\(892\) −28.2581 + 8.29733i −0.946151 + 0.277815i
\(893\) −7.93874 + 17.3834i −0.265660 + 0.581714i
\(894\) 6.72337 46.7621i 0.224863 1.56396i
\(895\) −29.7803 + 19.1386i −0.995446 + 0.639734i
\(896\) −1.00000 −0.0334077
\(897\) −9.19484 54.8653i −0.307007 1.83190i
\(898\) 29.0589 0.969707
\(899\) 4.66338 2.99698i 0.155533 0.0999547i
\(900\) 0.313372 2.17955i 0.0104457 0.0726516i
\(901\) −21.7166 + 47.5526i −0.723484 + 1.58421i
\(902\) −3.55225 + 1.04303i −0.118277 + 0.0347292i
\(903\) −7.81091 17.1035i −0.259931 0.569169i
\(904\) 9.63108 + 11.1149i 0.320325 + 0.369675i
\(905\) −1.24681 8.67174i −0.0414453 0.288258i
\(906\) 9.82797 + 2.88575i 0.326512 + 0.0958727i
\(907\) 2.24203 2.58744i 0.0744454 0.0859146i −0.717305 0.696759i \(-0.754625\pi\)
0.791750 + 0.610845i \(0.209170\pi\)
\(908\) 18.4860 + 11.8802i 0.613479 + 0.394259i
\(909\) −35.7914 23.0018i −1.18713 0.762920i
\(910\) −6.49250 + 7.49275i −0.215224 + 0.248382i
\(911\) 1.60622 + 0.471628i 0.0532163 + 0.0156257i 0.308232 0.951311i \(-0.400263\pi\)
−0.255016 + 0.966937i \(0.582081\pi\)
\(912\) −0.976424 6.79118i −0.0323326 0.224878i
\(913\) −5.60140 6.46436i −0.185379 0.213939i
\(914\) −0.0447670 0.0980261i −0.00148076 0.00324242i
\(915\) −11.7633 + 3.45403i −0.388884 + 0.114187i
\(916\) −3.74484 + 8.20005i −0.123733 + 0.270937i
\(917\) −0.219733 + 1.52827i −0.00725621 + 0.0504681i
\(918\) 2.25318 1.44803i 0.0743659 0.0477921i
\(919\) −6.89729 −0.227520 −0.113760 0.993508i \(-0.536290\pi\)
−0.113760 + 0.993508i \(0.536290\pi\)
\(920\) −1.17203 + 9.75664i −0.0386405 + 0.321667i
\(921\) 73.3744 2.41777
\(922\) −18.4833 + 11.8785i −0.608714 + 0.391197i
\(923\) −7.12825 + 49.5780i −0.234629 + 1.63188i
\(924\) 0.843229 1.84641i 0.0277402 0.0607425i
\(925\) 0.404003 0.118626i 0.0132836 0.00390040i
\(926\) −6.11255 13.3846i −0.200871 0.439846i
\(927\) 22.6468 + 26.1359i 0.743820 + 0.858414i
\(928\) 0.533762 + 3.71240i 0.0175216 + 0.121865i
\(929\) 4.52308 + 1.32810i 0.148397 + 0.0435734i 0.355088 0.934833i \(-0.384451\pi\)
−0.206690 + 0.978406i \(0.566269\pi\)
\(930\) 4.75451 5.48700i 0.155907 0.179926i
\(931\) −2.40759 1.54726i −0.0789055 0.0507095i
\(932\) 4.15813 + 2.67227i 0.136204 + 0.0875330i
\(933\) 23.3575 26.9560i 0.764690 0.882499i
\(934\) 15.8797 + 4.66269i 0.519599 + 0.152568i
\(935\) 1.09171 + 7.59298i 0.0357026 + 0.248317i
\(936\) −8.70513 10.0463i −0.284536 0.328372i
\(937\) −12.0745 26.4395i −0.394457 0.863741i −0.997802 0.0662608i \(-0.978893\pi\)
0.603345 0.797480i \(-0.293834\pi\)
\(938\) 10.6745 3.13432i 0.348535 0.102339i
\(939\) −7.38752 + 16.1764i −0.241083 + 0.527897i
\(940\) 1.94720 13.5431i 0.0635108 0.441727i
\(941\) −23.0601 + 14.8198i −0.751738 + 0.483113i −0.859546 0.511059i \(-0.829253\pi\)
0.107808 + 0.994172i \(0.465617\pi\)
\(942\) −46.5413 −1.51640
\(943\) 20.2523 + 5.43860i 0.659506 + 0.177105i
\(944\) 7.66852 0.249589
\(945\) 1.04415 0.671038i 0.0339664 0.0218289i
\(946\) 0.945076 6.57315i 0.0307271 0.213711i
\(947\) −20.8688 + 45.6963i −0.678144 + 1.48493i 0.186453 + 0.982464i \(0.440301\pi\)
−0.864597 + 0.502465i \(0.832426\pi\)
\(948\) −14.6337 + 4.29686i −0.475282 + 0.139555i
\(949\) −21.5342 47.1533i −0.699029 1.53066i
\(950\) −1.50212 1.73354i −0.0487351 0.0562433i
\(951\) 10.7459 + 74.7395i 0.348460 + 2.42359i
\(952\) 4.24248 + 1.24570i 0.137499 + 0.0403735i
\(953\) −32.5173 + 37.5269i −1.05334 + 1.21562i −0.0775288 + 0.996990i \(0.524703\pi\)
−0.975809 + 0.218626i \(0.929842\pi\)
\(954\) −27.3255 17.5611i −0.884697 0.568560i
\(955\) −13.9553 8.96850i −0.451582 0.290214i
\(956\) 14.1918 16.3782i 0.458996 0.529709i
\(957\) −7.30471 2.14486i −0.236128 0.0693333i
\(958\) −1.55563 10.8196i −0.0502601 0.349566i
\(959\) −8.09216 9.33885i −0.261310 0.301567i
\(960\) 2.04062 + 4.46834i 0.0658608 + 0.144215i
\(961\) 27.6483 8.11826i 0.891880 0.261879i
\(962\) 1.05595 2.31220i 0.0340451 0.0745483i
\(963\) −1.10369 + 7.67635i −0.0355660 + 0.247367i
\(964\) 21.0569 13.5325i 0.678198 0.435851i
\(965\) −45.2951 −1.45810
\(966\) −9.52507 + 6.43907i −0.306464 + 0.207174i
\(967\) −28.3248 −0.910865 −0.455432 0.890270i \(-0.650515\pi\)
−0.455432 + 0.890270i \(0.650515\pi\)
\(968\) −8.65069 + 5.55946i −0.278044 + 0.178688i
\(969\) −4.31734 + 30.0278i −0.138693 + 0.964631i
\(970\) −8.02897 + 17.5810i −0.257795 + 0.564492i
\(971\) 43.7378 12.8426i 1.40361 0.412137i 0.509689 0.860359i \(-0.329761\pi\)
0.893923 + 0.448221i \(0.147942\pi\)
\(972\) 8.89951 + 19.4872i 0.285452 + 0.625052i
\(973\) 7.83849 + 9.04610i 0.251290 + 0.290005i
\(974\) −3.38256 23.5262i −0.108384 0.753828i
\(975\) −8.92052 2.61930i −0.285685 0.0838847i
\(976\) −1.63440 + 1.88619i −0.0523158 + 0.0603756i
\(977\) 2.79014 + 1.79311i 0.0892645 + 0.0573668i 0.584512 0.811385i \(-0.301286\pi\)
−0.495247 + 0.868752i \(0.664922\pi\)
\(978\) −6.69339 4.30158i −0.214031 0.137549i
\(979\) 6.21981 7.17804i 0.198786 0.229411i
\(980\) 1.96603 + 0.577277i 0.0628024 + 0.0184404i
\(981\) 3.41054 + 23.7208i 0.108890 + 0.757347i
\(982\) −17.1541 19.7969i −0.547411 0.631746i
\(983\) 4.50231 + 9.85869i 0.143602 + 0.314444i 0.967743 0.251941i \(-0.0810689\pi\)
−0.824141 + 0.566385i \(0.808342\pi\)
\(984\) 10.0579 2.95326i 0.320633 0.0941464i
\(985\) −6.03363 + 13.2118i −0.192247 + 0.420963i
\(986\) 2.36007 16.4147i 0.0751601 0.522750i
\(987\) 13.4671 8.65477i 0.428662 0.275484i
\(988\) −13.8475 −0.440547
\(989\) −23.9645 + 28.9917i −0.762028 + 0.921882i
\(990\) −4.76637 −0.151485
\(991\) −26.6275 + 17.1124i −0.845849 + 0.543594i −0.890278 0.455418i \(-0.849490\pi\)
0.0444285 + 0.999013i \(0.485853\pi\)
\(992\) 0.210342 1.46296i 0.00667838 0.0464491i
\(993\) −29.6535 + 64.9321i −0.941026 + 2.06056i
\(994\) 9.93250 2.91645i 0.315040 0.0925040i
\(995\) −0.200197 0.438369i −0.00634666 0.0138972i
\(996\) 15.8599 + 18.3032i 0.502539 + 0.579961i
\(997\) −0.351200 2.44265i −0.0111226 0.0773595i 0.983504 0.180886i \(-0.0578965\pi\)
−0.994627 + 0.103526i \(0.966987\pi\)
\(998\) −11.5263 3.38441i −0.364857 0.107132i
\(999\) −0.208393 + 0.240498i −0.00659327 + 0.00760903i
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 322.2.i.d.127.4 yes 40
23.2 even 11 inner 322.2.i.d.71.4 40
23.5 odd 22 7406.2.a.bv.1.3 20
23.18 even 11 7406.2.a.bu.1.3 20
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
322.2.i.d.71.4 40 23.2 even 11 inner
322.2.i.d.127.4 yes 40 1.1 even 1 trivial
7406.2.a.bu.1.3 20 23.18 even 11
7406.2.a.bv.1.3 20 23.5 odd 22