Properties

Label 690.2.r.a.49.6
Level $690$
Weight $2$
Character 690.49
Analytic conductor $5.510$
Analytic rank $0$
Dimension $120$
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] = [690,2,Mod(49,690)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(690, base_ring=CyclotomicField(22))
 
chi = DirichletCharacter(H, H._module([0, 11, 16]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("690.49");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 690.r (of order \(22\), 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: \(5.50967773947\)
Analytic rank: \(0\)
Dimension: \(120\)
Relative dimension: \(12\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 49.6
Character \(\chi\) \(=\) 690.49
Dual form 690.2.r.a.169.6

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.989821 + 0.142315i) q^{2} +(-0.909632 - 0.415415i) q^{3} +(0.959493 - 0.281733i) q^{4} +(1.93207 + 1.12565i) q^{5} +(0.959493 + 0.281733i) q^{6} +(0.0169454 + 0.0263676i) q^{7} +(-0.909632 + 0.415415i) q^{8} +(0.654861 + 0.755750i) q^{9} +O(q^{10})\) \(q+(-0.989821 + 0.142315i) q^{2} +(-0.909632 - 0.415415i) q^{3} +(0.959493 - 0.281733i) q^{4} +(1.93207 + 1.12565i) q^{5} +(0.959493 + 0.281733i) q^{6} +(0.0169454 + 0.0263676i) q^{7} +(-0.909632 + 0.415415i) q^{8} +(0.654861 + 0.755750i) q^{9} +(-2.07260 - 0.839235i) q^{10} +(0.838672 - 5.83309i) q^{11} +(-0.989821 - 0.142315i) q^{12} +(0.563617 - 0.877004i) q^{13} +(-0.0205254 - 0.0236876i) q^{14} +(-1.28986 - 1.82654i) q^{15} +(0.841254 - 0.540641i) q^{16} +(-0.967380 + 3.29460i) q^{17} +(-0.755750 - 0.654861i) q^{18} +(3.93372 - 1.15504i) q^{19} +(2.17094 + 0.535731i) q^{20} +(-0.00446060 - 0.0310242i) q^{21} +5.89308i q^{22} +(-4.10154 - 2.48544i) q^{23} +1.00000 q^{24} +(2.46580 + 4.34969i) q^{25} +(-0.433069 + 0.948289i) q^{26} +(-0.281733 - 0.959493i) q^{27} +(0.0236876 + 0.0205254i) q^{28} +(1.01582 + 0.298273i) q^{29} +(1.53668 + 1.62439i) q^{30} +(0.447429 + 0.979733i) q^{31} +(-0.755750 + 0.654861i) q^{32} +(-3.18604 + 4.95757i) q^{33} +(0.488664 - 3.39873i) q^{34} +(0.00305896 + 0.0700188i) q^{35} +(0.841254 + 0.540641i) q^{36} +(6.76119 - 5.85860i) q^{37} +(-3.72930 + 1.70312i) q^{38} +(-0.877004 + 0.563617i) q^{39} +(-2.22509 - 0.221320i) q^{40} +(-0.525260 + 0.606183i) q^{41} +(0.00883040 + 0.0300736i) q^{42} +(5.04181 + 2.30252i) q^{43} +(-0.838672 - 5.83309i) q^{44} +(0.414525 + 2.19731i) q^{45} +(4.41350 + 1.87643i) q^{46} -6.51753i q^{47} +(-0.989821 + 0.142315i) q^{48} +(2.90750 - 6.36653i) q^{49} +(-3.05973 - 3.95450i) q^{50} +(2.24858 - 2.59500i) q^{51} +(0.293705 - 1.00027i) q^{52} +(-0.723111 - 1.12518i) q^{53} +(0.415415 + 0.909632i) q^{54} +(8.18643 - 10.3259i) q^{55} +(-0.0263676 - 0.0169454i) q^{56} +(-4.05806 - 0.583461i) q^{57} +(-1.04793 - 0.150670i) q^{58} +(2.38036 + 1.52977i) q^{59} +(-1.75221 - 1.38916i) q^{60} +(0.669151 + 1.46524i) q^{61} +(-0.582306 - 0.906085i) q^{62} +(-0.00883040 + 0.0300736i) q^{63} +(0.654861 - 0.755750i) q^{64} +(2.07615 - 1.06000i) q^{65} +(2.44807 - 5.36053i) q^{66} +(13.8191 - 1.98689i) q^{67} +3.43368i q^{68} +(2.69840 + 3.96467i) q^{69} +(-0.0129925 - 0.0688707i) q^{70} +(-0.625522 - 4.35060i) q^{71} +(-0.909632 - 0.415415i) q^{72} +(-1.29051 - 4.39508i) q^{73} +(-5.85860 + 6.76119i) q^{74} +(-0.436045 - 4.98095i) q^{75} +(3.44896 - 2.21651i) q^{76} +(0.168016 - 0.0767305i) q^{77} +(0.787867 - 0.682690i) q^{78} +(9.48726 + 6.09709i) q^{79} +(2.23394 - 0.0975956i) q^{80} +(-0.142315 + 0.989821i) q^{81} +(0.433645 - 0.674765i) q^{82} +(3.33508 - 2.88986i) q^{83} +(-0.0130204 - 0.0285108i) q^{84} +(-5.57763 + 5.27646i) q^{85} +(-5.31817 - 1.56156i) q^{86} +(-0.800118 - 0.693307i) q^{87} +(1.66027 + 5.65437i) q^{88} +(-2.96711 + 6.49707i) q^{89} +(-0.723015 - 2.11595i) q^{90} +0.0326752 q^{91} +(-4.63562 - 1.22922i) q^{92} -1.07707i q^{93} +(0.927542 + 6.45120i) q^{94} +(8.90041 + 2.19638i) q^{95} +(0.959493 - 0.281733i) q^{96} +(-2.22467 - 1.92768i) q^{97} +(-1.97185 + 6.71551i) q^{98} +(4.95757 - 3.18604i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 120 q + 12 q^{4} + 12 q^{6} + 12 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 120 q + 12 q^{4} + 12 q^{6} + 12 q^{9} + 18 q^{10} - 8 q^{14} - 4 q^{15} - 12 q^{16} + 22 q^{20} + 14 q^{21} + 120 q^{24} + 52 q^{25} + 16 q^{29} + 8 q^{31} - 36 q^{34} - 90 q^{35} - 12 q^{36} + 22 q^{39} + 4 q^{40} + 16 q^{41} - 4 q^{49} - 4 q^{50} + 8 q^{51} - 12 q^{54} - 56 q^{55} + 8 q^{56} + 138 q^{59} + 4 q^{60} - 36 q^{61} + 12 q^{64} + 52 q^{65} + 96 q^{70} + 8 q^{71} + 8 q^{74} - 4 q^{75} - 60 q^{79} - 12 q^{81} + 8 q^{84} + 24 q^{85} - 8 q^{86} - 104 q^{89} + 4 q^{90} - 144 q^{91} - 24 q^{94} - 14 q^{95} + 12 q^{96} - 44 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).

\(n\) \(277\) \(461\) \(511\)
\(\chi(n)\) \(-1\) \(1\) \(e\left(\frac{8}{11}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.989821 + 0.142315i −0.699909 + 0.100632i
\(3\) −0.909632 0.415415i −0.525176 0.239840i
\(4\) 0.959493 0.281733i 0.479746 0.140866i
\(5\) 1.93207 + 1.12565i 0.864049 + 0.503408i
\(6\) 0.959493 + 0.281733i 0.391711 + 0.115017i
\(7\) 0.0169454 + 0.0263676i 0.00640477 + 0.00996601i 0.844441 0.535648i \(-0.179933\pi\)
−0.838036 + 0.545614i \(0.816296\pi\)
\(8\) −0.909632 + 0.415415i −0.321603 + 0.146871i
\(9\) 0.654861 + 0.755750i 0.218287 + 0.251917i
\(10\) −2.07260 0.839235i −0.655415 0.265389i
\(11\) 0.838672 5.83309i 0.252869 1.75874i −0.327934 0.944701i \(-0.606352\pi\)
0.580804 0.814044i \(-0.302738\pi\)
\(12\) −0.989821 0.142315i −0.285737 0.0410828i
\(13\) 0.563617 0.877004i 0.156319 0.243237i −0.754256 0.656580i \(-0.772002\pi\)
0.910576 + 0.413343i \(0.135639\pi\)
\(14\) −0.0205254 0.0236876i −0.00548565 0.00633078i
\(15\) −1.28986 1.82654i −0.333040 0.471611i
\(16\) 0.841254 0.540641i 0.210313 0.135160i
\(17\) −0.967380 + 3.29460i −0.234624 + 0.799057i 0.755043 + 0.655675i \(0.227616\pi\)
−0.989667 + 0.143382i \(0.954202\pi\)
\(18\) −0.755750 0.654861i −0.178132 0.154352i
\(19\) 3.93372 1.15504i 0.902458 0.264985i 0.202595 0.979263i \(-0.435063\pi\)
0.699863 + 0.714277i \(0.253244\pi\)
\(20\) 2.17094 + 0.535731i 0.485438 + 0.119793i
\(21\) −0.00446060 0.0310242i −0.000973383 0.00677003i
\(22\) 5.89308i 1.25641i
\(23\) −4.10154 2.48544i −0.855229 0.518250i
\(24\) 1.00000 0.204124
\(25\) 2.46580 + 4.34969i 0.493160 + 0.869938i
\(26\) −0.433069 + 0.948289i −0.0849318 + 0.185975i
\(27\) −0.281733 0.959493i −0.0542195 0.184655i
\(28\) 0.0236876 + 0.0205254i 0.00447654 + 0.00387894i
\(29\) 1.01582 + 0.298273i 0.188634 + 0.0553878i 0.374685 0.927152i \(-0.377751\pi\)
−0.186051 + 0.982540i \(0.559569\pi\)
\(30\) 1.53668 + 1.62439i 0.280557 + 0.296571i
\(31\) 0.447429 + 0.979733i 0.0803606 + 0.175965i 0.945547 0.325485i \(-0.105527\pi\)
−0.865187 + 0.501450i \(0.832800\pi\)
\(32\) −0.755750 + 0.654861i −0.133599 + 0.115764i
\(33\) −3.18604 + 4.95757i −0.554618 + 0.863003i
\(34\) 0.488664 3.39873i 0.0838052 0.582878i
\(35\) 0.00305896 + 0.0700188i 0.000517058 + 0.0118353i
\(36\) 0.841254 + 0.540641i 0.140209 + 0.0901068i
\(37\) 6.76119 5.85860i 1.11153 0.963148i 0.111999 0.993708i \(-0.464275\pi\)
0.999533 + 0.0305604i \(0.00972918\pi\)
\(38\) −3.72930 + 1.70312i −0.604973 + 0.276282i
\(39\) −0.877004 + 0.563617i −0.140433 + 0.0902509i
\(40\) −2.22509 0.221320i −0.351817 0.0349938i
\(41\) −0.525260 + 0.606183i −0.0820319 + 0.0946698i −0.795282 0.606240i \(-0.792677\pi\)
0.713250 + 0.700910i \(0.247223\pi\)
\(42\) 0.00883040 + 0.0300736i 0.00136256 + 0.00464046i
\(43\) 5.04181 + 2.30252i 0.768869 + 0.351131i 0.760927 0.648838i \(-0.224745\pi\)
0.00794202 + 0.999968i \(0.497472\pi\)
\(44\) −0.838672 5.83309i −0.126435 0.879372i
\(45\) 0.414525 + 2.19731i 0.0617937 + 0.327556i
\(46\) 4.41350 + 1.87643i 0.650736 + 0.276665i
\(47\) 6.51753i 0.950680i −0.879802 0.475340i \(-0.842325\pi\)
0.879802 0.475340i \(-0.157675\pi\)
\(48\) −0.989821 + 0.142315i −0.142868 + 0.0205414i
\(49\) 2.90750 6.36653i 0.415357 0.909504i
\(50\) −3.05973 3.95450i −0.432711 0.559251i
\(51\) 2.24858 2.59500i 0.314865 0.363373i
\(52\) 0.293705 1.00027i 0.0407296 0.138712i
\(53\) −0.723111 1.12518i −0.0993269 0.154556i 0.788033 0.615633i \(-0.211100\pi\)
−0.887360 + 0.461077i \(0.847463\pi\)
\(54\) 0.415415 + 0.909632i 0.0565308 + 0.123785i
\(55\) 8.18643 10.3259i 1.10386 1.39234i
\(56\) −0.0263676 0.0169454i −0.00352352 0.00226443i
\(57\) −4.05806 0.583461i −0.537503 0.0772813i
\(58\) −1.04793 0.150670i −0.137600 0.0197839i
\(59\) 2.38036 + 1.52977i 0.309897 + 0.199159i 0.686340 0.727281i \(-0.259216\pi\)
−0.376443 + 0.926440i \(0.622853\pi\)
\(60\) −1.75221 1.38916i −0.226209 0.179340i
\(61\) 0.669151 + 1.46524i 0.0856761 + 0.187604i 0.947621 0.319398i \(-0.103481\pi\)
−0.861945 + 0.507003i \(0.830753\pi\)
\(62\) −0.582306 0.906085i −0.0739529 0.115073i
\(63\) −0.00883040 + 0.0300736i −0.00111253 + 0.00378892i
\(64\) 0.654861 0.755750i 0.0818576 0.0944687i
\(65\) 2.07615 1.06000i 0.257515 0.131477i
\(66\) 2.44807 5.36053i 0.301337 0.659836i
\(67\) 13.8191 1.98689i 1.68828 0.242737i 0.769820 0.638261i \(-0.220346\pi\)
0.918456 + 0.395524i \(0.129437\pi\)
\(68\) 3.43368i 0.416395i
\(69\) 2.69840 + 3.96467i 0.324849 + 0.477291i
\(70\) −0.0129925 0.0688707i −0.00155290 0.00823163i
\(71\) −0.625522 4.35060i −0.0742358 0.516321i −0.992680 0.120772i \(-0.961463\pi\)
0.918445 0.395550i \(-0.129446\pi\)
\(72\) −0.909632 0.415415i −0.107201 0.0489571i
\(73\) −1.29051 4.39508i −0.151043 0.514406i 0.848856 0.528624i \(-0.177292\pi\)
−0.999899 + 0.0142189i \(0.995474\pi\)
\(74\) −5.85860 + 6.76119i −0.681048 + 0.785972i
\(75\) −0.436045 4.98095i −0.0503501 0.575151i
\(76\) 3.44896 2.21651i 0.395623 0.254252i
\(77\) 0.168016 0.0767305i 0.0191472 0.00874425i
\(78\) 0.787867 0.682690i 0.0892083 0.0772995i
\(79\) 9.48726 + 6.09709i 1.06740 + 0.685977i 0.951614 0.307297i \(-0.0994246\pi\)
0.115787 + 0.993274i \(0.463061\pi\)
\(80\) 2.23394 0.0975956i 0.249762 0.0109115i
\(81\) −0.142315 + 0.989821i −0.0158128 + 0.109980i
\(82\) 0.433645 0.674765i 0.0478881 0.0745153i
\(83\) 3.33508 2.88986i 0.366073 0.317204i −0.452328 0.891852i \(-0.649406\pi\)
0.818401 + 0.574648i \(0.194861\pi\)
\(84\) −0.0130204 0.0285108i −0.00142065 0.00311078i
\(85\) −5.57763 + 5.27646i −0.604978 + 0.572312i
\(86\) −5.31817 1.56156i −0.573473 0.168387i
\(87\) −0.800118 0.693307i −0.0857817 0.0743303i
\(88\) 1.66027 + 5.65437i 0.176986 + 0.602758i
\(89\) −2.96711 + 6.49707i −0.314513 + 0.688688i −0.999193 0.0401555i \(-0.987215\pi\)
0.684680 + 0.728844i \(0.259942\pi\)
\(90\) −0.723015 2.11595i −0.0762125 0.223041i
\(91\) 0.0326752 0.00342529
\(92\) −4.63562 1.22922i −0.483297 0.128155i
\(93\) 1.07707i 0.111686i
\(94\) 0.927542 + 6.45120i 0.0956686 + 0.665390i
\(95\) 8.90041 + 2.19638i 0.913163 + 0.225344i
\(96\) 0.959493 0.281733i 0.0979278 0.0287542i
\(97\) −2.22467 1.92768i −0.225881 0.195727i 0.534567 0.845126i \(-0.320475\pi\)
−0.760447 + 0.649400i \(0.775020\pi\)
\(98\) −1.97185 + 6.71551i −0.199187 + 0.678369i
\(99\) 4.95757 3.18604i 0.498255 0.320209i
\(100\) 3.59137 + 3.47880i 0.359137 + 0.347880i
\(101\) 4.45584 + 5.14231i 0.443373 + 0.511679i 0.932815 0.360356i \(-0.117345\pi\)
−0.489442 + 0.872036i \(0.662799\pi\)
\(102\) −1.85639 + 2.88860i −0.183810 + 0.286014i
\(103\) −12.9804 1.86630i −1.27900 0.183892i −0.530874 0.847451i \(-0.678136\pi\)
−0.748124 + 0.663559i \(0.769045\pi\)
\(104\) −0.148363 + 1.03189i −0.0145482 + 0.101185i
\(105\) 0.0263043 0.0649620i 0.00256704 0.00633965i
\(106\) 0.875881 + 1.01082i 0.0850731 + 0.0981796i
\(107\) 5.53153 2.52616i 0.534753 0.244213i −0.129687 0.991555i \(-0.541397\pi\)
0.664440 + 0.747341i \(0.268670\pi\)
\(108\) −0.540641 0.841254i −0.0520232 0.0809497i
\(109\) 6.05077 + 1.77667i 0.579558 + 0.170174i 0.558356 0.829602i \(-0.311432\pi\)
0.0212024 + 0.999775i \(0.493251\pi\)
\(110\) −6.63357 + 11.3858i −0.632486 + 1.08560i
\(111\) −8.58394 + 2.52047i −0.814752 + 0.239233i
\(112\) 0.0285108 + 0.0130204i 0.00269402 + 0.00123032i
\(113\) −15.0097 + 2.15807i −1.41200 + 0.203014i −0.805747 0.592261i \(-0.798236\pi\)
−0.606249 + 0.795275i \(0.707327\pi\)
\(114\) 4.09979 0.383981
\(115\) −5.12672 9.41896i −0.478069 0.878322i
\(116\) 1.05871 0.0982986
\(117\) 1.03189 0.148363i 0.0953979 0.0137161i
\(118\) −2.57384 1.17544i −0.236942 0.108208i
\(119\) −0.103263 + 0.0303208i −0.00946612 + 0.00277950i
\(120\) 1.93207 + 1.12565i 0.176373 + 0.102758i
\(121\) −22.7672 6.68505i −2.06975 0.607732i
\(122\) −0.870865 1.35509i −0.0788445 0.122684i
\(123\) 0.729611 0.333202i 0.0657868 0.0300438i
\(124\) 0.705328 + 0.813992i 0.0633403 + 0.0730986i
\(125\) −0.132147 + 11.1796i −0.0118196 + 0.999930i
\(126\) 0.00446060 0.0310242i 0.000397382 0.00276385i
\(127\) 13.1482 + 1.89043i 1.16671 + 0.167748i 0.698330 0.715776i \(-0.253927\pi\)
0.468385 + 0.883524i \(0.344836\pi\)
\(128\) −0.540641 + 0.841254i −0.0477863 + 0.0743570i
\(129\) −3.62969 4.18889i −0.319576 0.368811i
\(130\) −1.90417 + 1.34468i −0.167006 + 0.117936i
\(131\) −13.6380 + 8.76463i −1.19156 + 0.765769i −0.977476 0.211046i \(-0.932313\pi\)
−0.214084 + 0.976815i \(0.568677\pi\)
\(132\) −1.66027 + 5.65437i −0.144508 + 0.492149i
\(133\) 0.0971143 + 0.0841500i 0.00842088 + 0.00729673i
\(134\) −13.3957 + 3.93334i −1.15721 + 0.339788i
\(135\) 0.535731 2.17094i 0.0461083 0.186845i
\(136\) −0.488664 3.39873i −0.0419026 0.291439i
\(137\) 11.5113i 0.983474i 0.870744 + 0.491737i \(0.163638\pi\)
−0.870744 + 0.491737i \(0.836362\pi\)
\(138\) −3.23517 3.54030i −0.275396 0.301370i
\(139\) −22.3408 −1.89492 −0.947461 0.319872i \(-0.896360\pi\)
−0.947461 + 0.319872i \(0.896360\pi\)
\(140\) 0.0226616 + 0.0663207i 0.00191526 + 0.00560512i
\(141\) −2.70748 + 5.92856i −0.228011 + 0.499275i
\(142\) 1.23831 + 4.21730i 0.103917 + 0.353908i
\(143\) −4.64296 4.02315i −0.388264 0.336433i
\(144\) 0.959493 + 0.281733i 0.0799577 + 0.0234777i
\(145\) 1.62689 + 1.71975i 0.135106 + 0.142818i
\(146\) 1.90286 + 4.16669i 0.157482 + 0.344838i
\(147\) −5.28950 + 4.58338i −0.436271 + 0.378031i
\(148\) 4.83675 7.52613i 0.397579 0.618644i
\(149\) 2.93977 20.4466i 0.240835 1.67505i −0.407124 0.913373i \(-0.633468\pi\)
0.647960 0.761675i \(-0.275623\pi\)
\(150\) 1.14047 + 4.86820i 0.0931190 + 0.397487i
\(151\) 8.46512 + 5.44020i 0.688882 + 0.442718i 0.837688 0.546149i \(-0.183907\pi\)
−0.148806 + 0.988866i \(0.547543\pi\)
\(152\) −3.09842 + 2.68479i −0.251315 + 0.217765i
\(153\) −3.12339 + 1.42640i −0.252511 + 0.115318i
\(154\) −0.155386 + 0.0998607i −0.0125214 + 0.00804700i
\(155\) −0.238376 + 2.39657i −0.0191468 + 0.192497i
\(156\) −0.682690 + 0.787867i −0.0546590 + 0.0630798i
\(157\) 1.64743 + 5.61063i 0.131479 + 0.447777i 0.998746 0.0500669i \(-0.0159435\pi\)
−0.867267 + 0.497844i \(0.834125\pi\)
\(158\) −10.2584 4.68486i −0.816115 0.372707i
\(159\) 0.190347 + 1.32389i 0.0150955 + 0.104992i
\(160\) −2.19731 + 0.414525i −0.173713 + 0.0327710i
\(161\) −0.00396726 0.150264i −0.000312664 0.0118425i
\(162\) 1.00000i 0.0785674i
\(163\) −17.6574 + 2.53875i −1.38303 + 0.198850i −0.793340 0.608779i \(-0.791660\pi\)
−0.589692 + 0.807628i \(0.700751\pi\)
\(164\) −0.333202 + 0.729611i −0.0260187 + 0.0569731i
\(165\) −11.7362 + 5.99201i −0.913660 + 0.466477i
\(166\) −2.88986 + 3.33508i −0.224297 + 0.258853i
\(167\) 3.77870 12.8691i 0.292404 0.995838i −0.673983 0.738747i \(-0.735418\pi\)
0.966387 0.257091i \(-0.0827640\pi\)
\(168\) 0.0169454 + 0.0263676i 0.00130737 + 0.00203430i
\(169\) 4.94892 + 10.8366i 0.380686 + 0.833587i
\(170\) 4.76994 6.01653i 0.365837 0.461447i
\(171\) 3.44896 + 2.21651i 0.263749 + 0.169501i
\(172\) 5.48627 + 0.788807i 0.418325 + 0.0601460i
\(173\) −3.35938 0.483005i −0.255409 0.0367222i 0.0134211 0.999910i \(-0.495728\pi\)
−0.268830 + 0.963188i \(0.586637\pi\)
\(174\) 0.890642 + 0.572381i 0.0675194 + 0.0433921i
\(175\) −0.0729068 + 0.138725i −0.00551124 + 0.0104866i
\(176\) −2.44807 5.36053i −0.184530 0.404065i
\(177\) −1.52977 2.38036i −0.114984 0.178919i
\(178\) 2.01228 6.85321i 0.150827 0.513669i
\(179\) 1.09590 1.26474i 0.0819118 0.0945312i −0.713314 0.700844i \(-0.752807\pi\)
0.795226 + 0.606313i \(0.207352\pi\)
\(180\) 1.01679 + 1.99152i 0.0757868 + 0.148439i
\(181\) −9.21791 + 20.1844i −0.685162 + 1.50029i 0.171918 + 0.985111i \(0.445004\pi\)
−0.857080 + 0.515184i \(0.827724\pi\)
\(182\) −0.0323426 + 0.00465017i −0.00239739 + 0.000344693i
\(183\) 1.61080i 0.119074i
\(184\) 4.76338 + 0.556994i 0.351161 + 0.0410621i
\(185\) 19.6579 3.70847i 1.44527 0.272652i
\(186\) 0.153282 + 1.06610i 0.0112392 + 0.0781704i
\(187\) 18.4064 + 8.40591i 1.34601 + 0.614701i
\(188\) −1.83620 6.25353i −0.133919 0.456085i
\(189\) 0.0205254 0.0236876i 0.00149301 0.00172302i
\(190\) −9.12240 0.907367i −0.661808 0.0658273i
\(191\) 4.16000 2.67347i 0.301007 0.193446i −0.381415 0.924404i \(-0.624563\pi\)
0.682422 + 0.730958i \(0.260927\pi\)
\(192\) −0.909632 + 0.415415i −0.0656470 + 0.0299800i
\(193\) 2.81146 2.43614i 0.202373 0.175357i −0.547778 0.836624i \(-0.684526\pi\)
0.750151 + 0.661266i \(0.229981\pi\)
\(194\) 2.47636 + 1.59146i 0.177792 + 0.114260i
\(195\) −2.32887 + 0.101743i −0.166774 + 0.00728598i
\(196\) 0.996064 6.92778i 0.0711474 0.494841i
\(197\) −4.34534 + 6.76148i −0.309593 + 0.481736i −0.960830 0.277139i \(-0.910614\pi\)
0.651237 + 0.758874i \(0.274250\pi\)
\(198\) −4.45369 + 3.85915i −0.316510 + 0.274258i
\(199\) 9.89731 + 21.6721i 0.701602 + 1.53629i 0.838018 + 0.545642i \(0.183714\pi\)
−0.136416 + 0.990652i \(0.543558\pi\)
\(200\) −4.04990 2.93229i −0.286371 0.207344i
\(201\) −13.3957 3.93334i −0.944861 0.277436i
\(202\) −5.14231 4.45584i −0.361812 0.313512i
\(203\) 0.00934882 + 0.0318392i 0.000656159 + 0.00223467i
\(204\) 1.42640 3.12339i 0.0998682 0.218681i
\(205\) −1.69719 + 0.579927i −0.118537 + 0.0405038i
\(206\) 13.1139 0.913688
\(207\) −0.807567 4.72735i −0.0561298 0.328574i
\(208\) 1.04250i 0.0722842i
\(209\) −3.43838 23.9145i −0.237838 1.65420i
\(210\) −0.0167915 + 0.0680443i −0.00115872 + 0.00469550i
\(211\) −16.5007 + 4.84505i −1.13596 + 0.333547i −0.795046 0.606549i \(-0.792553\pi\)
−0.340910 + 0.940096i \(0.610735\pi\)
\(212\) −1.01082 0.875881i −0.0694234 0.0601558i
\(213\) −1.23831 + 4.21730i −0.0848476 + 0.288964i
\(214\) −5.11571 + 3.28767i −0.349703 + 0.224740i
\(215\) 7.14930 + 10.1240i 0.487578 + 0.690449i
\(216\) 0.654861 + 0.755750i 0.0445576 + 0.0514222i
\(217\) −0.0182513 + 0.0283996i −0.00123898 + 0.00192789i
\(218\) −6.24202 0.897468i −0.422763 0.0607842i
\(219\) −0.651892 + 4.53401i −0.0440508 + 0.306380i
\(220\) 4.94568 12.2140i 0.333437 0.823469i
\(221\) 2.34414 + 2.70529i 0.157684 + 0.181977i
\(222\) 8.13787 3.71644i 0.546178 0.249431i
\(223\) −13.6259 21.2023i −0.912456 1.41981i −0.907607 0.419821i \(-0.862093\pi\)
−0.00484895 0.999988i \(-0.501543\pi\)
\(224\) −0.0300736 0.00883040i −0.00200938 0.000590006i
\(225\) −1.67252 + 4.71197i −0.111501 + 0.314131i
\(226\) 14.5498 4.27221i 0.967839 0.284183i
\(227\) −20.9112 9.54981i −1.38792 0.633843i −0.425391 0.905010i \(-0.639863\pi\)
−0.962532 + 0.271166i \(0.912591\pi\)
\(228\) −4.05806 + 0.583461i −0.268752 + 0.0386407i
\(229\) −16.7178 −1.10475 −0.552373 0.833597i \(-0.686277\pi\)
−0.552373 + 0.833597i \(0.686277\pi\)
\(230\) 6.41499 + 8.59348i 0.422992 + 0.566637i
\(231\) −0.184708 −0.0121529
\(232\) −1.04793 + 0.150670i −0.0688001 + 0.00989196i
\(233\) 12.2788 + 5.60756i 0.804414 + 0.367364i 0.774807 0.632198i \(-0.217847\pi\)
0.0296072 + 0.999562i \(0.490574\pi\)
\(234\) −1.00027 + 0.293705i −0.0653896 + 0.0192001i
\(235\) 7.33650 12.5923i 0.478580 0.821434i
\(236\) 2.71493 + 0.797175i 0.176727 + 0.0518917i
\(237\) −6.09709 9.48726i −0.396049 0.616264i
\(238\) 0.0978970 0.0447081i 0.00634572 0.00289799i
\(239\) 3.74253 + 4.31911i 0.242084 + 0.279380i 0.863770 0.503887i \(-0.168097\pi\)
−0.621685 + 0.783267i \(0.713552\pi\)
\(240\) −2.07260 0.839235i −0.133786 0.0541724i
\(241\) 1.77647 12.3556i 0.114433 0.795896i −0.849086 0.528255i \(-0.822847\pi\)
0.963519 0.267642i \(-0.0862443\pi\)
\(242\) 23.4868 + 3.37690i 1.50979 + 0.217075i
\(243\) 0.540641 0.841254i 0.0346821 0.0539664i
\(244\) 1.05485 + 1.21736i 0.0675299 + 0.0779337i
\(245\) 12.7840 9.02775i 0.816740 0.576762i
\(246\) −0.674765 + 0.433645i −0.0430214 + 0.0276482i
\(247\) 1.20413 4.10089i 0.0766170 0.260934i
\(248\) −0.813992 0.705328i −0.0516885 0.0447884i
\(249\) −4.23419 + 1.24327i −0.268331 + 0.0787891i
\(250\) −1.46022 11.0846i −0.0923521 0.701050i
\(251\) −0.0224910 0.156428i −0.00141962 0.00987366i 0.989099 0.147250i \(-0.0470422\pi\)
−0.990519 + 0.137376i \(0.956133\pi\)
\(252\) 0.0313432i 0.00197444i
\(253\) −17.9376 + 21.8402i −1.12773 + 1.37308i
\(254\) −13.2834 −0.833475
\(255\) 7.26551 2.48260i 0.454984 0.155467i
\(256\) 0.415415 0.909632i 0.0259634 0.0568520i
\(257\) 5.04684 + 17.1880i 0.314813 + 1.07216i 0.953175 + 0.302419i \(0.0977943\pi\)
−0.638362 + 0.769737i \(0.720388\pi\)
\(258\) 4.18889 + 3.62969i 0.260789 + 0.225975i
\(259\) 0.269048 + 0.0789997i 0.0167178 + 0.00490880i
\(260\) 1.69342 1.60198i 0.105021 0.0993506i
\(261\) 0.439803 + 0.963035i 0.0272231 + 0.0596104i
\(262\) 12.2519 10.6163i 0.756923 0.655878i
\(263\) −10.7046 + 16.6567i −0.660075 + 1.02710i 0.336277 + 0.941763i \(0.390832\pi\)
−0.996352 + 0.0853339i \(0.972804\pi\)
\(264\) 0.838672 5.83309i 0.0516167 0.359002i
\(265\) −0.130535 2.98791i −0.00801869 0.183546i
\(266\) −0.108102 0.0694727i −0.00662813 0.00425964i
\(267\) 5.39796 4.67736i 0.330350 0.286250i
\(268\) 12.6996 5.79971i 0.775751 0.354274i
\(269\) 3.28404 2.11053i 0.200232 0.128681i −0.436683 0.899616i \(-0.643847\pi\)
0.636914 + 0.770934i \(0.280210\pi\)
\(270\) −0.221320 + 2.22509i −0.0134691 + 0.135415i
\(271\) −1.70799 + 1.97113i −0.103753 + 0.119737i −0.805251 0.592934i \(-0.797969\pi\)
0.701498 + 0.712671i \(0.252515\pi\)
\(272\) 0.967380 + 3.29460i 0.0586561 + 0.199764i
\(273\) −0.0297224 0.0135738i −0.00179888 0.000821522i
\(274\) −1.63822 11.3941i −0.0989688 0.688343i
\(275\) 27.4402 10.7353i 1.65470 0.647362i
\(276\) 3.70607 + 3.04385i 0.223079 + 0.183218i
\(277\) 14.9221i 0.896579i 0.893888 + 0.448290i \(0.147967\pi\)
−0.893888 + 0.448290i \(0.852033\pi\)
\(278\) 22.1134 3.17943i 1.32627 0.190689i
\(279\) −0.447429 + 0.979733i −0.0267869 + 0.0586551i
\(280\) −0.0318694 0.0624206i −0.00190456 0.00373034i
\(281\) 12.4596 14.3791i 0.743275 0.857785i −0.250623 0.968085i \(-0.580636\pi\)
0.993898 + 0.110299i \(0.0351810\pi\)
\(282\) 1.83620 6.25353i 0.109344 0.372392i
\(283\) −1.69331 2.63485i −0.100657 0.156625i 0.787272 0.616606i \(-0.211493\pi\)
−0.887929 + 0.459981i \(0.847856\pi\)
\(284\) −1.82589 3.99814i −0.108347 0.237246i
\(285\) −7.18369 5.69527i −0.425525 0.337358i
\(286\) 5.16826 + 3.32144i 0.305605 + 0.196401i
\(287\) −0.0248843 0.00357783i −0.00146888 0.000211192i
\(288\) −0.989821 0.142315i −0.0583258 0.00838598i
\(289\) 4.38278 + 2.81664i 0.257810 + 0.165685i
\(290\) −1.85508 1.47072i −0.108934 0.0863634i
\(291\) 1.22284 + 2.67764i 0.0716841 + 0.156966i
\(292\) −2.47648 3.85347i −0.144925 0.225507i
\(293\) −4.07702 + 13.8850i −0.238182 + 0.811173i 0.750464 + 0.660911i \(0.229830\pi\)
−0.988646 + 0.150262i \(0.951988\pi\)
\(294\) 4.58338 5.28950i 0.267308 0.308490i
\(295\) 2.87704 + 5.63509i 0.167508 + 0.328088i
\(296\) −3.71644 + 8.13787i −0.216014 + 0.473004i
\(297\) −5.83309 + 0.838672i −0.338470 + 0.0486647i
\(298\) 20.6568i 1.19662i
\(299\) −4.49143 + 2.19623i −0.259746 + 0.127011i
\(300\) −1.82168 4.65634i −0.105175 0.268834i
\(301\) 0.0247237 + 0.171957i 0.00142505 + 0.00991146i
\(302\) −9.15318 4.18012i −0.526706 0.240539i
\(303\) −1.91698 6.52864i −0.110128 0.375060i
\(304\) 2.68479 3.09842i 0.153983 0.177706i
\(305\) −0.356503 + 3.58418i −0.0204133 + 0.205229i
\(306\) 2.88860 1.85639i 0.165130 0.106123i
\(307\) −22.1729 + 10.1260i −1.26548 + 0.577924i −0.931185 0.364546i \(-0.881224\pi\)
−0.334291 + 0.942470i \(0.608497\pi\)
\(308\) 0.139593 0.120958i 0.00795405 0.00689222i
\(309\) 11.0321 + 7.08991i 0.627595 + 0.403331i
\(310\) −0.105117 2.40610i −0.00597023 0.136657i
\(311\) −2.33406 + 16.2337i −0.132352 + 0.920531i 0.810124 + 0.586258i \(0.199400\pi\)
−0.942477 + 0.334272i \(0.891509\pi\)
\(312\) 0.563617 0.877004i 0.0319085 0.0496506i
\(313\) −9.17784 + 7.95264i −0.518762 + 0.449510i −0.874465 0.485089i \(-0.838787\pi\)
0.355703 + 0.934599i \(0.384242\pi\)
\(314\) −2.42914 5.31907i −0.137084 0.300172i
\(315\) −0.0509135 + 0.0481643i −0.00286865 + 0.00271375i
\(316\) 10.8207 + 3.17725i 0.608713 + 0.178734i
\(317\) 6.84573 + 5.93186i 0.384494 + 0.333166i 0.825566 0.564306i \(-0.190856\pi\)
−0.441072 + 0.897472i \(0.645402\pi\)
\(318\) −0.376819 1.28333i −0.0211310 0.0719655i
\(319\) 2.59180 5.67524i 0.145113 0.317752i
\(320\) 2.11595 0.723015i 0.118285 0.0404178i
\(321\) −6.08106 −0.339412
\(322\) 0.0253117 + 0.148170i 0.00141057 + 0.00825721i
\(323\) 14.0774i 0.783287i
\(324\) 0.142315 + 0.989821i 0.00790638 + 0.0549901i
\(325\) 5.20447 + 0.289039i 0.288692 + 0.0160330i
\(326\) 17.1163 5.02581i 0.947986 0.278354i
\(327\) −4.76592 4.12969i −0.263556 0.228372i
\(328\) 0.225976 0.769604i 0.0124774 0.0424943i
\(329\) 0.171852 0.110442i 0.00947449 0.00608888i
\(330\) 10.7640 7.60125i 0.592537 0.418435i
\(331\) −21.0571 24.3011i −1.15740 1.33571i −0.932432 0.361346i \(-0.882317\pi\)
−0.224969 0.974366i \(-0.572228\pi\)
\(332\) 2.38582 3.71241i 0.130939 0.203745i
\(333\) 8.85527 + 1.27320i 0.485266 + 0.0697707i
\(334\) −1.90878 + 13.2758i −0.104444 + 0.726422i
\(335\) 28.9361 + 11.7168i 1.58095 + 0.640155i
\(336\) −0.0205254 0.0236876i −0.00111975 0.00129227i
\(337\) 22.1096 10.0971i 1.20438 0.550024i 0.290843 0.956771i \(-0.406064\pi\)
0.913541 + 0.406747i \(0.133337\pi\)
\(338\) −6.44076 10.0220i −0.350331 0.545126i
\(339\) 14.5498 + 4.27221i 0.790237 + 0.232035i
\(340\) −3.86514 + 6.63412i −0.209617 + 0.359786i
\(341\) 6.09012 1.78822i 0.329799 0.0968376i
\(342\) −3.72930 1.70312i −0.201658 0.0920939i
\(343\) 0.434308 0.0624441i 0.0234504 0.00337166i
\(344\) −5.54269 −0.298842
\(345\) 0.750649 + 10.6975i 0.0404136 + 0.575934i
\(346\) 3.39392 0.182458
\(347\) 18.2226 2.62001i 0.978238 0.140649i 0.365394 0.930853i \(-0.380934\pi\)
0.612845 + 0.790204i \(0.290025\pi\)
\(348\) −0.963035 0.439803i −0.0516241 0.0235759i
\(349\) 17.0145 4.99592i 0.910768 0.267426i 0.207404 0.978255i \(-0.433499\pi\)
0.703364 + 0.710830i \(0.251680\pi\)
\(350\) 0.0524222 0.147688i 0.00280208 0.00789427i
\(351\) −1.00027 0.293705i −0.0533904 0.0156768i
\(352\) 3.18604 + 4.95757i 0.169816 + 0.264240i
\(353\) −5.69687 + 2.60167i −0.303214 + 0.138473i −0.561212 0.827672i \(-0.689665\pi\)
0.257998 + 0.966146i \(0.416937\pi\)
\(354\) 1.85296 + 2.13843i 0.0984836 + 0.113656i
\(355\) 3.68872 9.10980i 0.195777 0.483498i
\(356\) −1.01649 + 7.06983i −0.0538737 + 0.374700i
\(357\) 0.106527 + 0.0153163i 0.00563802 + 0.000810625i
\(358\) −0.904759 + 1.40783i −0.0478180 + 0.0744062i
\(359\) −18.5465 21.4038i −0.978846 1.12965i −0.991549 0.129730i \(-0.958589\pi\)
0.0127030 0.999919i \(-0.495956\pi\)
\(360\) −1.28986 1.82654i −0.0679816 0.0962673i
\(361\) −1.84378 + 1.18493i −0.0970411 + 0.0623645i
\(362\) 6.25154 21.2908i 0.328574 1.11902i
\(363\) 17.9327 + 15.5388i 0.941223 + 0.815574i
\(364\) 0.0313516 0.00920567i 0.00164327 0.000482508i
\(365\) 2.45398 9.94429i 0.128447 0.520508i
\(366\) 0.229241 + 1.59441i 0.0119826 + 0.0833410i
\(367\) 7.03965i 0.367467i 0.982976 + 0.183733i \(0.0588183\pi\)
−0.982976 + 0.183733i \(0.941182\pi\)
\(368\) −4.79416 + 0.126575i −0.249913 + 0.00659816i
\(369\) −0.802095 −0.0417554
\(370\) −18.9300 + 6.46833i −0.984124 + 0.336273i
\(371\) 0.0174149 0.0381334i 0.000904138 0.00197979i
\(372\) −0.303444 1.03344i −0.0157329 0.0535812i
\(373\) −16.8402 14.5921i −0.871950 0.755549i 0.0989353 0.995094i \(-0.468456\pi\)
−0.970885 + 0.239545i \(0.923002\pi\)
\(374\) −19.4153 5.70085i −1.00394 0.294784i
\(375\) 4.76436 10.1144i 0.246031 0.522305i
\(376\) 2.70748 + 5.92856i 0.139628 + 0.305742i
\(377\) 0.834121 0.722770i 0.0429594 0.0372246i
\(378\) −0.0169454 + 0.0263676i −0.000871578 + 0.00135620i
\(379\) 2.39972 16.6904i 0.123266 0.857331i −0.830551 0.556942i \(-0.811975\pi\)
0.953817 0.300389i \(-0.0971164\pi\)
\(380\) 9.15868 0.400122i 0.469830 0.0205258i
\(381\) −11.1747 7.18156i −0.572498 0.367922i
\(382\) −3.73719 + 3.23829i −0.191211 + 0.165685i
\(383\) 31.7658 14.5069i 1.62316 0.741270i 0.623963 0.781454i \(-0.285522\pi\)
0.999192 + 0.0401838i \(0.0127943\pi\)
\(384\) 0.841254 0.540641i 0.0429300 0.0275895i
\(385\) 0.410991 + 0.0408796i 0.0209461 + 0.00208342i
\(386\) −2.43614 + 2.81146i −0.123996 + 0.143100i
\(387\) 1.56156 + 5.31817i 0.0793784 + 0.270338i
\(388\) −2.67764 1.22284i −0.135937 0.0620802i
\(389\) −2.37291 16.5040i −0.120311 0.836784i −0.957203 0.289416i \(-0.906539\pi\)
0.836892 0.547368i \(-0.184370\pi\)
\(390\) 2.29069 0.432141i 0.115994 0.0218823i
\(391\) 12.1563 11.1085i 0.614768 0.561783i
\(392\) 6.99902i 0.353504i
\(393\) 16.0465 2.30714i 0.809441 0.116380i
\(394\) 3.33885 7.31107i 0.168209 0.368326i
\(395\) 11.4668 + 22.4594i 0.576960 + 1.13006i
\(396\) 3.85915 4.45369i 0.193929 0.223806i
\(397\) −7.92824 + 27.0011i −0.397907 + 1.35515i 0.480400 + 0.877050i \(0.340492\pi\)
−0.878307 + 0.478097i \(0.841327\pi\)
\(398\) −12.8808 20.0430i −0.645658 1.00466i
\(399\) −0.0533811 0.116888i −0.00267240 0.00585173i
\(400\) 4.42599 + 2.32608i 0.221299 + 0.116304i
\(401\) −33.4502 21.4972i −1.67042 1.07352i −0.899888 0.436122i \(-0.856352\pi\)
−0.770537 0.637395i \(-0.780012\pi\)
\(402\) 13.8191 + 1.98689i 0.689236 + 0.0990971i
\(403\) 1.11141 + 0.159796i 0.0553632 + 0.00796003i
\(404\) 5.72411 + 3.67866i 0.284785 + 0.183020i
\(405\) −1.38916 + 1.75221i −0.0690279 + 0.0870679i
\(406\) −0.0137848 0.0301846i −0.000684131 0.00149804i
\(407\) −28.5034 44.3521i −1.41286 2.19845i
\(408\) −0.967380 + 3.29460i −0.0478925 + 0.163107i
\(409\) 13.9389 16.0863i 0.689232 0.795417i −0.298023 0.954559i \(-0.596327\pi\)
0.987256 + 0.159142i \(0.0508728\pi\)
\(410\) 1.59739 0.815560i 0.0788893 0.0402776i
\(411\) 4.78195 10.4710i 0.235876 0.516497i
\(412\) −12.9804 + 1.86630i −0.639499 + 0.0919461i
\(413\) 0.0886870i 0.00436400i
\(414\) 1.47212 + 4.56430i 0.0723507 + 0.224323i
\(415\) 9.69661 1.82927i 0.475988 0.0897956i
\(416\) 0.148363 + 1.03189i 0.00727409 + 0.0505924i
\(417\) 20.3219 + 9.28070i 0.995168 + 0.454478i
\(418\) 6.80677 + 23.1817i 0.332930 + 1.13386i
\(419\) −22.9085 + 26.4379i −1.11916 + 1.29157i −0.167001 + 0.985957i \(0.553408\pi\)
−0.952154 + 0.305618i \(0.901137\pi\)
\(420\) 0.00693688 0.0697414i 0.000338485 0.00340303i
\(421\) 4.11019 2.64146i 0.200318 0.128737i −0.436636 0.899638i \(-0.643830\pi\)
0.636954 + 0.770901i \(0.280194\pi\)
\(422\) 15.6432 7.14403i 0.761501 0.347766i
\(423\) 4.92562 4.26808i 0.239492 0.207521i
\(424\) 1.12518 + 0.723111i 0.0546437 + 0.0351174i
\(425\) −16.7158 + 3.91601i −0.810837 + 0.189954i
\(426\) 0.625522 4.35060i 0.0303066 0.210787i
\(427\) −0.0272957 + 0.0424730i −0.00132093 + 0.00205541i
\(428\) 4.59576 3.98225i 0.222144 0.192489i
\(429\) 2.55211 + 5.58834i 0.123217 + 0.269808i
\(430\) −8.51732 9.00347i −0.410742 0.434186i
\(431\) 10.7745 + 3.16367i 0.518987 + 0.152388i 0.530727 0.847543i \(-0.321919\pi\)
−0.0117400 + 0.999931i \(0.503737\pi\)
\(432\) −0.755750 0.654861i −0.0363610 0.0315070i
\(433\) −4.74614 16.1639i −0.228085 0.776785i −0.991412 0.130774i \(-0.958254\pi\)
0.763328 0.646012i \(-0.223564\pi\)
\(434\) 0.0140239 0.0307080i 0.000673167 0.00147403i
\(435\) −0.765462 2.24018i −0.0367011 0.107408i
\(436\) 6.30621 0.302013
\(437\) −19.0051 5.03956i −0.909137 0.241075i
\(438\) 4.58063i 0.218871i
\(439\) −2.72052 18.9216i −0.129843 0.903079i −0.945750 0.324895i \(-0.894671\pi\)
0.815907 0.578183i \(-0.196238\pi\)
\(440\) −3.15710 + 12.7935i −0.150509 + 0.609908i
\(441\) 6.71551 1.97185i 0.319786 0.0938977i
\(442\) −2.70529 2.34414i −0.128677 0.111500i
\(443\) −1.95061 + 6.64316i −0.0926762 + 0.315626i −0.992764 0.120083i \(-0.961684\pi\)
0.900088 + 0.435709i \(0.143502\pi\)
\(444\) −7.52613 + 4.83675i −0.357174 + 0.229542i
\(445\) −13.0461 + 9.21286i −0.618446 + 0.436732i
\(446\) 16.5046 + 19.0473i 0.781514 + 0.901916i
\(447\) −11.1679 + 17.3776i −0.528224 + 0.821933i
\(448\) 0.0310242 + 0.00446060i 0.00146575 + 0.000210744i
\(449\) −2.31880 + 16.1276i −0.109431 + 0.761110i 0.859027 + 0.511931i \(0.171070\pi\)
−0.968458 + 0.249179i \(0.919839\pi\)
\(450\) 0.984914 4.90203i 0.0464293 0.231084i
\(451\) 3.09540 + 3.57228i 0.145757 + 0.168212i
\(452\) −13.7937 + 6.29938i −0.648802 + 0.296298i
\(453\) −5.44020 8.46512i −0.255603 0.397726i
\(454\) 22.0574 + 6.47664i 1.03521 + 0.303964i
\(455\) 0.0631308 + 0.0367810i 0.00295962 + 0.00172432i
\(456\) 3.93372 1.15504i 0.184213 0.0540899i
\(457\) −16.1234 7.36332i −0.754222 0.344442i 0.000922809 1.00000i \(-0.499706\pi\)
−0.755145 + 0.655558i \(0.772434\pi\)
\(458\) 16.5477 2.37920i 0.773222 0.111173i
\(459\) 3.43368 0.160271
\(460\) −7.57268 7.59306i −0.353078 0.354028i
\(461\) 32.3645 1.50736 0.753682 0.657240i \(-0.228276\pi\)
0.753682 + 0.657240i \(0.228276\pi\)
\(462\) 0.182828 0.0262867i 0.00850592 0.00122297i
\(463\) −14.4610 6.60410i −0.672058 0.306918i 0.0500022 0.998749i \(-0.484077\pi\)
−0.722060 + 0.691831i \(0.756804\pi\)
\(464\) 1.01582 0.298273i 0.0471584 0.0138470i
\(465\) 1.21240 2.08097i 0.0562239 0.0965026i
\(466\) −12.9519 3.80302i −0.599985 0.176172i
\(467\) 7.39382 + 11.5050i 0.342145 + 0.532388i 0.969100 0.246667i \(-0.0793355\pi\)
−0.626955 + 0.779055i \(0.715699\pi\)
\(468\) 0.948289 0.433069i 0.0438347 0.0200186i
\(469\) 0.286561 + 0.330708i 0.0132321 + 0.0152707i
\(470\) −5.46974 + 13.5083i −0.252300 + 0.623090i
\(471\) 0.832185 5.78797i 0.0383451 0.266696i
\(472\) −2.80074 0.402686i −0.128915 0.0185351i
\(473\) 17.6592 27.4783i 0.811972 1.26345i
\(474\) 7.38521 + 8.52299i 0.339214 + 0.391474i
\(475\) 14.7239 + 14.2624i 0.675577 + 0.654402i
\(476\) −0.0905379 + 0.0581852i −0.00414980 + 0.00266691i
\(477\) 0.376819 1.28333i 0.0172534 0.0587596i
\(478\) −4.31911 3.74253i −0.197552 0.171179i
\(479\) −38.3174 + 11.2510i −1.75077 + 0.514072i −0.990735 0.135811i \(-0.956636\pi\)
−0.760034 + 0.649883i \(0.774818\pi\)
\(480\) 2.17094 + 0.535731i 0.0990895 + 0.0244526i
\(481\) −1.32730 9.23159i −0.0605198 0.420924i
\(482\) 12.4827i 0.568571i
\(483\) −0.0588133 + 0.138333i −0.00267610 + 0.00629439i
\(484\) −23.7284 −1.07856
\(485\) −2.12831 6.22863i −0.0966415 0.282828i
\(486\) −0.415415 + 0.909632i −0.0188436 + 0.0412617i
\(487\) 3.93389 + 13.3976i 0.178261 + 0.607103i 0.999341 + 0.0362895i \(0.0115538\pi\)
−0.821080 + 0.570813i \(0.806628\pi\)
\(488\) −1.21736 1.05485i −0.0551074 0.0477509i
\(489\) 17.1163 + 5.02581i 0.774028 + 0.227275i
\(490\) −11.3691 + 10.7552i −0.513604 + 0.485871i
\(491\) 13.8866 + 30.4075i 0.626695 + 1.37227i 0.910548 + 0.413404i \(0.135660\pi\)
−0.283852 + 0.958868i \(0.591613\pi\)
\(492\) 0.606183 0.525260i 0.0273288 0.0236806i
\(493\) −1.96538 + 3.05818i −0.0885160 + 0.137734i
\(494\) −0.608257 + 4.23052i −0.0273668 + 0.190340i
\(495\) 13.1648 0.575138i 0.591712 0.0258505i
\(496\) 0.906085 + 0.582306i 0.0406844 + 0.0261463i
\(497\) 0.104115 0.0902163i 0.00467020 0.00404675i
\(498\) 4.01416 1.83320i 0.179879 0.0821478i
\(499\) 5.75885 3.70099i 0.257802 0.165679i −0.405356 0.914159i \(-0.632852\pi\)
0.663157 + 0.748480i \(0.269216\pi\)
\(500\) 3.02285 + 10.7639i 0.135186 + 0.481378i
\(501\) −8.78323 + 10.1364i −0.392406 + 0.452860i
\(502\) 0.0445241 + 0.151635i 0.00198721 + 0.00676781i
\(503\) 29.7300 + 13.5773i 1.32560 + 0.605380i 0.947313 0.320310i \(-0.103787\pi\)
0.378284 + 0.925690i \(0.376514\pi\)
\(504\) −0.00446060 0.0310242i −0.000198691 0.00138193i
\(505\) 2.82053 + 14.9511i 0.125512 + 0.665313i
\(506\) 14.6469 24.1707i 0.651133 1.07452i
\(507\) 11.9132i 0.529084i
\(508\) 13.1482 1.89043i 0.583357 0.0838741i
\(509\) 7.21088 15.7896i 0.319617 0.699863i −0.679821 0.733378i \(-0.737943\pi\)
0.999438 + 0.0335145i \(0.0106700\pi\)
\(510\) −6.83824 + 3.49132i −0.302802 + 0.154598i
\(511\) 0.0940194 0.108504i 0.00415918 0.00479994i
\(512\) −0.281733 + 0.959493i −0.0124509 + 0.0424040i
\(513\) −2.21651 3.44896i −0.0978615 0.152276i
\(514\) −7.44157 16.2948i −0.328234 0.718732i
\(515\) −22.9783 18.2173i −1.01254 0.802750i
\(516\) −4.66281 2.99661i −0.205269 0.131918i
\(517\) −38.0174 5.46608i −1.67200 0.240398i
\(518\) −0.277553 0.0399060i −0.0121950 0.00175337i
\(519\) 2.85515 + 1.83489i 0.125327 + 0.0805428i
\(520\) −1.44820 + 1.82667i −0.0635076 + 0.0801049i
\(521\) 1.24899 + 2.73490i 0.0547191 + 0.119818i 0.935017 0.354604i \(-0.115384\pi\)
−0.880297 + 0.474422i \(0.842657\pi\)
\(522\) −0.572381 0.890642i −0.0250524 0.0389823i
\(523\) −0.698044 + 2.37732i −0.0305234 + 0.103953i −0.973346 0.229342i \(-0.926342\pi\)
0.942822 + 0.333295i \(0.108161\pi\)
\(524\) −10.6163 + 12.2519i −0.463776 + 0.535226i
\(525\) 0.123947 0.0959017i 0.00540948 0.00418549i
\(526\) 8.22516 18.0106i 0.358634 0.785299i
\(527\) −3.66066 + 0.526323i −0.159461 + 0.0229270i
\(528\) 5.89308i 0.256463i
\(529\) 10.6452 + 20.3882i 0.462835 + 0.886445i
\(530\) 0.554430 + 2.93892i 0.0240829 + 0.127658i
\(531\) 0.402686 + 2.80074i 0.0174751 + 0.121542i
\(532\) 0.116888 + 0.0533811i 0.00506775 + 0.00231436i
\(533\) 0.235580 + 0.802310i 0.0102041 + 0.0347519i
\(534\) −4.67736 + 5.39796i −0.202409 + 0.233593i
\(535\) 13.5309 + 1.34586i 0.584992 + 0.0581867i
\(536\) −11.7449 + 7.54802i −0.507304 + 0.326025i
\(537\) −1.52226 + 0.695194i −0.0656905 + 0.0299998i
\(538\) −2.95026 + 2.55641i −0.127195 + 0.110215i
\(539\) −34.6981 22.2991i −1.49455 0.960492i
\(540\) −0.0975956 2.23394i −0.00419985 0.0961333i
\(541\) −3.52835 + 24.5402i −0.151696 + 1.05507i 0.761681 + 0.647952i \(0.224374\pi\)
−0.913377 + 0.407115i \(0.866535\pi\)
\(542\) 1.41009 2.19414i 0.0605684 0.0942463i
\(543\) 16.7698 14.5311i 0.719661 0.623590i
\(544\) −1.42640 3.12339i −0.0611566 0.133914i
\(545\) 9.69060 + 10.2437i 0.415100 + 0.438793i
\(546\) 0.0313516 + 0.00920567i 0.00134173 + 0.000393966i
\(547\) −9.72526 8.42698i −0.415822 0.360312i 0.421681 0.906744i \(-0.361440\pi\)
−0.837503 + 0.546432i \(0.815986\pi\)
\(548\) 3.24310 + 11.0450i 0.138538 + 0.471818i
\(549\) −0.669151 + 1.46524i −0.0285587 + 0.0625348i
\(550\) −25.6331 + 14.5312i −1.09300 + 0.619611i
\(551\) 4.34048 0.184911
\(552\) −4.10154 2.48544i −0.174573 0.105787i
\(553\) 0.353474i 0.0150312i
\(554\) −2.12363 14.7702i −0.0902244 0.627524i
\(555\) −19.4220 4.79282i −0.824417 0.203444i
\(556\) −21.4358 + 6.29413i −0.909082 + 0.266931i
\(557\) 19.8379 + 17.1896i 0.840557 + 0.728347i 0.964540 0.263938i \(-0.0850214\pi\)
−0.123983 + 0.992284i \(0.539567\pi\)
\(558\) 0.303444 1.03344i 0.0128458 0.0437489i
\(559\) 4.86096 3.12395i 0.205597 0.132129i
\(560\) 0.0404284 + 0.0572497i 0.00170841 + 0.00241924i
\(561\) −13.2511 15.2926i −0.559461 0.645653i
\(562\) −10.2864 + 16.0059i −0.433905 + 0.675169i
\(563\) 0.496190 + 0.0713414i 0.0209119 + 0.00300668i 0.152763 0.988263i \(-0.451183\pi\)
−0.131851 + 0.991270i \(0.542092\pi\)
\(564\) −0.927542 + 6.45120i −0.0390566 + 0.271644i
\(565\) −31.4291 12.7262i −1.32223 0.535396i
\(566\) 2.05105 + 2.36704i 0.0862123 + 0.0994943i
\(567\) −0.0285108 + 0.0130204i −0.00119734 + 0.000546807i
\(568\) 2.37630 + 3.69760i 0.0997073 + 0.155148i
\(569\) −2.03114 0.596398i −0.0851500 0.0250023i 0.238880 0.971049i \(-0.423220\pi\)
−0.324030 + 0.946047i \(0.605038\pi\)
\(570\) 7.92109 + 4.61495i 0.331778 + 0.193299i
\(571\) −19.3399 + 5.67872i −0.809351 + 0.237647i −0.660125 0.751156i \(-0.729497\pi\)
−0.149226 + 0.988803i \(0.547678\pi\)
\(572\) −5.58834 2.55211i −0.233660 0.106709i
\(573\) −4.89467 + 0.703748i −0.204478 + 0.0293995i
\(574\) 0.0251402 0.00104933
\(575\) 0.697313 23.9690i 0.0290800 0.999577i
\(576\) 1.00000 0.0416667
\(577\) −42.0772 + 6.04978i −1.75170 + 0.251856i −0.942147 0.335199i \(-0.891197\pi\)
−0.809548 + 0.587054i \(0.800287\pi\)
\(578\) −4.73902 2.16424i −0.197117 0.0900204i
\(579\) −3.56940 + 1.04807i −0.148339 + 0.0435564i
\(580\) 2.04550 + 1.19174i 0.0849348 + 0.0494843i
\(581\) 0.132713 + 0.0389681i 0.00550587 + 0.00161667i
\(582\) −1.59146 2.47636i −0.0659682 0.102648i
\(583\) −7.16975 + 3.27432i −0.296941 + 0.135608i
\(584\) 2.99968 + 3.46181i 0.124127 + 0.143251i
\(585\) 2.16068 + 0.874900i 0.0893333 + 0.0361727i
\(586\) 2.05947 14.3239i 0.0850759 0.591716i
\(587\) −10.9066 1.56813i −0.450162 0.0647235i −0.0864943 0.996252i \(-0.527566\pi\)
−0.363667 + 0.931529i \(0.618476\pi\)
\(588\) −3.78395 + 5.88795i −0.156048 + 0.242815i
\(589\) 2.89170 + 3.33720i 0.119150 + 0.137507i
\(590\) −3.64972 5.16829i −0.150256 0.212775i
\(591\) 6.76148 4.34534i 0.278130 0.178743i
\(592\) 2.52047 8.58394i 0.103591 0.352798i
\(593\) 23.8915 + 20.7021i 0.981108 + 0.850135i 0.988711 0.149836i \(-0.0478746\pi\)
−0.00760271 + 0.999971i \(0.502420\pi\)
\(594\) 5.65437 1.66027i 0.232001 0.0681218i
\(595\) −0.233643 0.0576567i −0.00957841 0.00236370i
\(596\) −2.93977 20.4466i −0.120418 0.837524i
\(597\) 23.8251i 0.975097i
\(598\) 4.13316 2.81307i 0.169018 0.115035i
\(599\) −40.3122 −1.64711 −0.823557 0.567234i \(-0.808014\pi\)
−0.823557 + 0.567234i \(0.808014\pi\)
\(600\) 2.46580 + 4.34969i 0.100666 + 0.177575i
\(601\) −8.92712 + 19.5477i −0.364145 + 0.797366i 0.635535 + 0.772072i \(0.280779\pi\)
−0.999680 + 0.0252941i \(0.991948\pi\)
\(602\) −0.0489442 0.166689i −0.00199482 0.00679372i
\(603\) 10.5512 + 9.14267i 0.429678 + 0.372318i
\(604\) 9.65491 + 2.83494i 0.392853 + 0.115352i
\(605\) −36.4628 38.5440i −1.48242 1.56704i
\(606\) 2.82659 + 6.18937i 0.114822 + 0.251426i
\(607\) 31.2653 27.0915i 1.26902 1.09961i 0.278762 0.960360i \(-0.410076\pi\)
0.990257 0.139251i \(-0.0444696\pi\)
\(608\) −2.21651 + 3.44896i −0.0898915 + 0.139874i
\(609\) 0.00472248 0.0328456i 0.000191364 0.00133097i
\(610\) −0.157207 3.59843i −0.00636513 0.145696i
\(611\) −5.71591 3.67339i −0.231241 0.148609i
\(612\) −2.59500 + 2.24858i −0.104897 + 0.0908936i
\(613\) 37.0409 16.9160i 1.49607 0.683232i 0.511670 0.859182i \(-0.329027\pi\)
0.984399 + 0.175950i \(0.0562997\pi\)
\(614\) 20.5062 13.1785i 0.827561 0.531841i
\(615\) 1.78473 + 0.177520i 0.0719673 + 0.00715829i
\(616\) −0.120958 + 0.139593i −0.00487354 + 0.00562436i
\(617\) 10.1893 + 34.7017i 0.410207 + 1.39704i 0.862902 + 0.505372i \(0.168645\pi\)
−0.452695 + 0.891666i \(0.649537\pi\)
\(618\) −11.9288 5.44771i −0.479847 0.219139i
\(619\) 4.71752 + 32.8111i 0.189613 + 1.31879i 0.833011 + 0.553257i \(0.186615\pi\)
−0.643397 + 0.765532i \(0.722476\pi\)
\(620\) 0.446470 + 2.36665i 0.0179307 + 0.0950468i
\(621\) −1.22922 + 4.63562i −0.0493270 + 0.186021i
\(622\) 16.4007i 0.657607i
\(623\) −0.221591 + 0.0318600i −0.00887786 + 0.00127644i
\(624\) −0.433069 + 0.948289i −0.0173366 + 0.0379619i
\(625\) −12.8396 + 21.4510i −0.513586 + 0.858038i
\(626\) 7.95264 9.17784i 0.317851 0.366820i
\(627\) −6.80677 + 23.1817i −0.271836 + 0.925789i
\(628\) 3.16139 + 4.91922i 0.126153 + 0.196298i
\(629\) 12.7611 + 27.9429i 0.508817 + 1.11415i
\(630\) 0.0435407 0.0549198i 0.00173470 0.00218806i
\(631\) 17.4220 + 11.1964i 0.693557 + 0.445722i 0.839349 0.543593i \(-0.182937\pi\)
−0.145792 + 0.989315i \(0.546573\pi\)
\(632\) −11.1627 1.60496i −0.444030 0.0638419i
\(633\) 17.0223 + 2.44744i 0.676575 + 0.0972768i
\(634\) −7.62024 4.89723i −0.302638 0.194494i
\(635\) 23.2753 + 18.4528i 0.923652 + 0.732276i
\(636\) 0.555621 + 1.21664i 0.0220318 + 0.0482429i
\(637\) −3.94476 6.13817i −0.156297 0.243203i
\(638\) −1.75774 + 5.98633i −0.0695897 + 0.237001i
\(639\) 2.87834 3.32178i 0.113865 0.131407i
\(640\) −1.99152 + 1.01679i −0.0787217 + 0.0401920i
\(641\) −19.7792 + 43.3105i −0.781232 + 1.71066i −0.0810350 + 0.996711i \(0.525823\pi\)
−0.700197 + 0.713949i \(0.746905\pi\)
\(642\) 6.01916 0.865425i 0.237557 0.0341556i
\(643\) 44.6802i 1.76201i 0.473103 + 0.881007i \(0.343134\pi\)
−0.473103 + 0.881007i \(0.656866\pi\)
\(644\) −0.0461409 0.143060i −0.00181821 0.00563735i
\(645\) −2.29758 12.1790i −0.0904672 0.479548i
\(646\) −2.00342 13.9341i −0.0788235 0.548230i
\(647\) −4.07349 1.86030i −0.160145 0.0731359i 0.333730 0.942669i \(-0.391693\pi\)
−0.493875 + 0.869533i \(0.664420\pi\)
\(648\) −0.281733 0.959493i −0.0110675 0.0376924i
\(649\) 10.9196 12.6019i 0.428633 0.494668i
\(650\) −5.19263 + 0.454575i −0.203672 + 0.0178299i
\(651\) 0.0283996 0.0182513i 0.00111307 0.000715326i
\(652\) −16.2269 + 7.41056i −0.635493 + 0.290220i
\(653\) 24.5669 21.2874i 0.961378 0.833039i −0.0246366 0.999696i \(-0.507843\pi\)
0.986015 + 0.166658i \(0.0532974\pi\)
\(654\) 5.30512 + 3.40940i 0.207447 + 0.133318i
\(655\) −36.2156 + 1.58218i −1.41506 + 0.0618207i
\(656\) −0.114150 + 0.793931i −0.00445681 + 0.0309978i
\(657\) 2.47648 3.85347i 0.0966165 0.150338i
\(658\) −0.154385 + 0.133775i −0.00601855 + 0.00521510i
\(659\) −0.151766 0.332320i −0.00591195 0.0129454i 0.906653 0.421877i \(-0.138629\pi\)
−0.912565 + 0.408932i \(0.865901\pi\)
\(660\) −9.57263 + 9.05575i −0.372614 + 0.352495i
\(661\) −14.3267 4.20671i −0.557246 0.163622i −0.00903023 0.999959i \(-0.502874\pi\)
−0.548215 + 0.836337i \(0.684693\pi\)
\(662\) 24.3011 + 21.0571i 0.944491 + 0.818406i
\(663\) −1.00849 3.43461i −0.0391666 0.133389i
\(664\) −1.83320 + 4.01416i −0.0711421 + 0.155779i
\(665\) 0.0929079 + 0.271901i 0.00360281 + 0.0105439i
\(666\) −8.94633 −0.346663
\(667\) −3.42510 3.74814i −0.132620 0.145129i
\(668\) 13.4124i 0.518940i
\(669\) 3.58679 + 24.9467i 0.138673 + 0.964493i
\(670\) −30.3091 7.47946i −1.17094 0.288957i
\(671\) 9.10807 2.67437i 0.351613 0.103243i
\(672\) 0.0236876 + 0.0205254i 0.000913770 + 0.000791786i
\(673\) −2.19619 + 7.47954i −0.0846569 + 0.288315i −0.990930 0.134377i \(-0.957097\pi\)
0.906273 + 0.422692i \(0.138915\pi\)
\(674\) −20.4475 + 13.1408i −0.787610 + 0.506166i
\(675\) 3.47880 3.59137i 0.133899 0.138232i
\(676\) 7.80149 + 9.00340i 0.300057 + 0.346284i
\(677\) −5.06604 + 7.88291i −0.194704 + 0.302965i −0.924854 0.380321i \(-0.875813\pi\)
0.730151 + 0.683286i \(0.239450\pi\)
\(678\) −15.0097 2.15807i −0.576445 0.0828802i
\(679\) 0.0131305 0.0913245i 0.000503902 0.00350471i
\(680\) 2.88167 7.11666i 0.110507 0.272912i
\(681\) 15.0543 + 17.3736i 0.576883 + 0.665759i
\(682\) −5.77364 + 2.63673i −0.221084 + 0.100966i
\(683\) −8.86212 13.7897i −0.339100 0.527650i 0.629264 0.777191i \(-0.283356\pi\)
−0.968364 + 0.249542i \(0.919720\pi\)
\(684\) 3.93372 + 1.15504i 0.150410 + 0.0441642i
\(685\) −12.9577 + 22.2406i −0.495089 + 0.849770i
\(686\) −0.421001 + 0.123617i −0.0160739 + 0.00471972i
\(687\) 15.2071 + 6.94484i 0.580186 + 0.264962i
\(688\) 5.48627 0.788807i 0.209162 0.0300730i
\(689\) −1.39435 −0.0531204
\(690\) −2.26542 10.4818i −0.0862431 0.399035i
\(691\) 28.8476 1.09742 0.548708 0.836014i \(-0.315120\pi\)
0.548708 + 0.836014i \(0.315120\pi\)
\(692\) −3.35938 + 0.483005i −0.127704 + 0.0183611i
\(693\) 0.168016 + 0.0767305i 0.00638241 + 0.00291475i
\(694\) −17.6642 + 5.18668i −0.670525 + 0.196884i
\(695\) −43.1640 25.1480i −1.63730 0.953919i
\(696\) 1.01582 + 0.298273i 0.0385047 + 0.0113060i
\(697\) −1.48900 2.31693i −0.0563999 0.0877600i
\(698\) −16.1304 + 7.36649i −0.610544 + 0.278826i
\(699\) −8.83977 10.2016i −0.334351 0.385861i
\(700\) −0.0308704 + 0.153645i −0.00116679 + 0.00580725i
\(701\) −2.45238 + 17.0567i −0.0926251 + 0.644222i 0.889631 + 0.456679i \(0.150961\pi\)
−0.982257 + 0.187542i \(0.939948\pi\)
\(702\) 1.03189 + 0.148363i 0.0389460 + 0.00559959i
\(703\) 19.8297 30.8556i 0.747890 1.16374i
\(704\) −3.85915 4.45369i −0.145447 0.167855i
\(705\) −11.9046 + 8.40671i −0.448352 + 0.316615i
\(706\) 5.26863 3.38594i 0.198287 0.127432i
\(707\) −0.0600843 + 0.204628i −0.00225970 + 0.00769584i
\(708\) −2.13843 1.85296i −0.0803670 0.0696384i
\(709\) −40.8404 + 11.9918i −1.53379 + 0.450362i −0.936209 0.351444i \(-0.885691\pi\)
−0.597584 + 0.801806i \(0.703873\pi\)
\(710\) −2.35472 + 9.54203i −0.0883710 + 0.358106i
\(711\) 1.60496 + 11.1627i 0.0601907 + 0.418636i
\(712\) 7.14253i 0.267678i
\(713\) 0.599919 5.13047i 0.0224671 0.192138i
\(714\) −0.107623 −0.00402768
\(715\) −4.44186 12.9994i −0.166116 0.486149i
\(716\) 0.695194 1.52226i 0.0259806 0.0568896i
\(717\) −1.61010 5.48351i −0.0601304 0.204785i
\(718\) 21.4038 + 18.5465i 0.798782 + 0.692149i
\(719\) −26.5550 7.79725i −0.990334 0.290788i −0.253850 0.967244i \(-0.581697\pi\)
−0.736484 + 0.676455i \(0.763515\pi\)
\(720\) 1.53668 + 1.62439i 0.0572685 + 0.0605373i
\(721\) −0.170749 0.373887i −0.00635901 0.0139243i
\(722\) 1.65638 1.43526i 0.0616441 0.0534149i
\(723\) −6.74865 + 10.5011i −0.250985 + 0.390540i
\(724\) −3.15791 + 21.9638i −0.117363 + 0.816277i
\(725\) 1.20742 + 5.15400i 0.0448426 + 0.191415i
\(726\) −19.9616 12.8285i −0.740843 0.476111i
\(727\) 28.7373 24.9010i 1.06581 0.923528i 0.0685587 0.997647i \(-0.478160\pi\)
0.997249 + 0.0741191i \(0.0236145\pi\)
\(728\) −0.0297224 + 0.0135738i −0.00110159 + 0.000503077i
\(729\) −0.841254 + 0.540641i −0.0311575 + 0.0200237i
\(730\) −1.01379 + 10.1923i −0.0375219 + 0.377234i
\(731\) −12.4632 + 14.3833i −0.460968 + 0.531986i
\(732\) −0.453815 1.54555i −0.0167735 0.0571253i
\(733\) 30.9947 + 14.1548i 1.14482 + 0.522820i 0.895261 0.445541i \(-0.146989\pi\)
0.249554 + 0.968361i \(0.419716\pi\)
\(734\) −1.00185 6.96800i −0.0369788 0.257193i
\(735\) −15.3790 + 2.90127i −0.567263 + 0.107015i
\(736\) 4.72735 0.807567i 0.174252 0.0297673i
\(737\) 82.2747i 3.03063i
\(738\) 0.793931 0.114150i 0.0292250 0.00420192i
\(739\) −2.01489 + 4.41199i −0.0741189 + 0.162298i −0.943065 0.332610i \(-0.892071\pi\)
0.868946 + 0.494908i \(0.164798\pi\)
\(740\) 17.8168 9.09651i 0.654958 0.334394i
\(741\) −2.79889 + 3.23009i −0.102820 + 0.118660i
\(742\) −0.0118107 + 0.0402236i −0.000433585 + 0.00147666i
\(743\) −1.11441 1.73406i −0.0408837 0.0636163i 0.820210 0.572062i \(-0.193856\pi\)
−0.861094 + 0.508446i \(0.830220\pi\)
\(744\) 0.447429 + 0.979733i 0.0164035 + 0.0359188i
\(745\) 28.6956 36.1951i 1.05133 1.32608i
\(746\) 18.7454 + 12.0469i 0.686318 + 0.441070i
\(747\) 4.36803 + 0.628028i 0.159818 + 0.0229783i
\(748\) 20.0290 + 2.87974i 0.732333 + 0.105294i
\(749\) 0.160343 + 0.103046i 0.00585880 + 0.00376522i
\(750\) −3.27644 + 10.6895i −0.119639 + 0.390325i
\(751\) −18.7213 40.9940i −0.683151 1.49589i −0.859270 0.511523i \(-0.829082\pi\)
0.176119 0.984369i \(-0.443646\pi\)
\(752\) −3.52365 5.48290i −0.128494 0.199941i
\(753\) −0.0445241 + 0.151635i −0.00162255 + 0.00552589i
\(754\) −0.722770 + 0.834121i −0.0263217 + 0.0303769i
\(755\) 10.2314 + 20.0397i 0.372360 + 0.729318i
\(756\) 0.0130204 0.0285108i 0.000473549 0.00103693i
\(757\) −3.85023 + 0.553580i −0.139939 + 0.0201202i −0.211928 0.977285i \(-0.567974\pi\)
0.0719893 + 0.997405i \(0.477065\pi\)
\(758\) 16.8621i 0.612458i
\(759\) 25.3894 12.4150i 0.921576 0.450635i
\(760\) −9.00851 + 1.69946i −0.326773 + 0.0616461i
\(761\) −3.52770 24.5357i −0.127879 0.889418i −0.948236 0.317566i \(-0.897134\pi\)
0.820357 0.571852i \(-0.193775\pi\)
\(762\) 12.0830 + 5.51813i 0.437722 + 0.199901i
\(763\) 0.0556864 + 0.189650i 0.00201598 + 0.00686581i
\(764\) 3.23829 3.73719i 0.117157 0.135207i
\(765\) −7.64025 0.759943i −0.276234 0.0274758i
\(766\) −29.3779 + 18.8800i −1.06147 + 0.682163i
\(767\) 2.68323 1.22539i 0.0968856 0.0442462i
\(768\) −0.755750 + 0.654861i −0.0272708 + 0.0236303i
\(769\) 12.6182 + 8.10923i 0.455024 + 0.292426i 0.748006 0.663692i \(-0.231011\pi\)
−0.292982 + 0.956118i \(0.594648\pi\)
\(770\) −0.412626 + 0.0180267i −0.0148700 + 0.000649637i
\(771\) 2.54937 17.7313i 0.0918133 0.638576i
\(772\) 2.01124 3.12954i 0.0723859 0.112635i
\(773\) 34.7591 30.1189i 1.25020 1.08330i 0.257056 0.966397i \(-0.417248\pi\)
0.993143 0.116907i \(-0.0372978\pi\)
\(774\) −2.30252 5.04181i −0.0827623 0.181224i
\(775\) −3.15827 + 4.36201i −0.113448 + 0.156688i
\(776\) 2.82442 + 0.829324i 0.101391 + 0.0297710i
\(777\) −0.211917 0.183627i −0.00760249 0.00658759i
\(778\) 4.69752 + 15.9983i 0.168414 + 0.573566i
\(779\) −1.36606 + 2.99125i −0.0489442 + 0.107173i
\(780\) −2.20587 + 0.753741i −0.0789829 + 0.0269883i
\(781\) −25.9021 −0.926849
\(782\) −10.4516 + 12.7255i −0.373749 + 0.455062i
\(783\) 1.05871i 0.0378352i
\(784\) −0.996064 6.92778i −0.0355737 0.247421i
\(785\) −3.13268 + 12.6946i −0.111810 + 0.453089i
\(786\) −15.5549 + 4.56732i −0.554824 + 0.162911i
\(787\) 0.497764 + 0.431315i 0.0177434 + 0.0153747i 0.663687 0.748010i \(-0.268991\pi\)
−0.645944 + 0.763385i \(0.723536\pi\)
\(788\) −2.26439 + 7.71182i −0.0806657 + 0.274722i
\(789\) 16.6567 10.7046i 0.592995 0.381095i
\(790\) −14.5464 20.5989i −0.517539 0.732876i
\(791\) −0.311249 0.359201i −0.0110667 0.0127717i
\(792\) −3.18604 + 4.95757i −0.113211 + 0.176160i
\(793\) 1.66216 + 0.238983i 0.0590252 + 0.00848654i
\(794\) 4.00488 27.8546i 0.142128 0.988522i
\(795\) −1.12248 + 2.77212i −0.0398104 + 0.0983170i
\(796\) 15.6021 + 18.0058i 0.553003 + 0.638200i
\(797\) −18.4260 + 8.41489i −0.652684 + 0.298071i −0.714102 0.700041i \(-0.753165\pi\)
0.0614185 + 0.998112i \(0.480438\pi\)
\(798\) 0.0694727 + 0.108102i 0.00245931 + 0.00382676i
\(799\) 21.4726 + 6.30494i 0.759647 + 0.223053i
\(800\) −4.71197 1.67252i −0.166593 0.0591326i
\(801\) −6.85321 + 2.01228i −0.242146 + 0.0711005i
\(802\) 36.1691 + 16.5179i 1.27718 + 0.583267i
\(803\) −26.7193 + 3.84165i −0.942902 + 0.135569i
\(804\) −13.9612 −0.492375
\(805\) 0.161481 0.294787i 0.00569145 0.0103899i
\(806\) −1.12284 −0.0395503
\(807\) −3.86402 + 0.555562i −0.136020 + 0.0195567i
\(808\) −6.18937 2.82659i −0.217741 0.0994391i
\(809\) 42.4263 12.4575i 1.49163 0.437981i 0.568568 0.822637i \(-0.307498\pi\)
0.923060 + 0.384655i \(0.125680\pi\)
\(810\) 1.12565 1.93207i 0.0395515 0.0678861i
\(811\) 42.9289 + 12.6051i 1.50744 + 0.442624i 0.928059 0.372434i \(-0.121477\pi\)
0.579380 + 0.815058i \(0.303295\pi\)
\(812\) 0.0179403 + 0.0279156i 0.000629580 + 0.000979645i
\(813\) 2.37248 1.08348i 0.0832065 0.0379991i
\(814\) 34.5252 + 39.8442i 1.21011 + 1.39654i
\(815\) −36.9731 14.9711i −1.29511 0.524414i
\(816\) 0.488664 3.39873i 0.0171067 0.118979i
\(817\) 22.4926 + 3.23395i 0.786916 + 0.113141i
\(818\) −11.5077 + 17.9063i −0.402356 + 0.626078i
\(819\) 0.0213977 + 0.0246943i 0.000747696 + 0.000862888i
\(820\) −1.46506 + 1.03459i −0.0511621 + 0.0361295i
\(821\) 32.3941 20.8184i 1.13056 0.726568i 0.164884 0.986313i \(-0.447275\pi\)
0.965677 + 0.259745i \(0.0836385\pi\)
\(822\) −3.24310 + 11.0450i −0.113116 + 0.385238i
\(823\) −0.778425 0.674509i −0.0271342 0.0235119i 0.641188 0.767384i \(-0.278442\pi\)
−0.668322 + 0.743872i \(0.732987\pi\)
\(824\) 12.5827 3.69461i 0.438339 0.128708i
\(825\) −29.4201 1.63389i −1.02427 0.0568849i
\(826\) −0.0126215 0.0877843i −0.000439157 0.00305441i
\(827\) 38.1789i 1.32761i 0.747906 + 0.663805i \(0.231060\pi\)
−0.747906 + 0.663805i \(0.768940\pi\)
\(828\) −2.10670 4.30834i −0.0732130 0.149725i
\(829\) 47.6217 1.65397 0.826984 0.562225i \(-0.190054\pi\)
0.826984 + 0.562225i \(0.190054\pi\)
\(830\) −9.33758 + 3.19063i −0.324112 + 0.110748i
\(831\) 6.19884 13.5736i 0.215036 0.470862i
\(832\) −0.293705 1.00027i −0.0101824 0.0346781i
\(833\) 18.1625 + 15.7379i 0.629293 + 0.545285i
\(834\) −21.4358 6.29413i −0.742262 0.217948i
\(835\) 21.7868 20.6104i 0.753965 0.713254i
\(836\) −10.0366 21.9771i −0.347123 0.760093i
\(837\) 0.813992 0.705328i 0.0281357 0.0243797i
\(838\) 18.9129 29.4290i 0.653334 1.01661i
\(839\) −7.91805 + 55.0713i −0.273361 + 1.90127i 0.139070 + 0.990283i \(0.455589\pi\)
−0.412432 + 0.910988i \(0.635321\pi\)
\(840\) 0.00305896 + 0.0700188i 0.000105544 + 0.00241588i
\(841\) −23.4534 15.0726i −0.808739 0.519745i
\(842\) −3.69243 + 3.19951i −0.127250 + 0.110262i
\(843\) −17.3069 + 7.90380i −0.596082 + 0.272221i
\(844\) −14.4673 + 9.29758i −0.497986 + 0.320036i
\(845\) −2.63663 + 26.5079i −0.0907029 + 0.911900i
\(846\) −4.26808 + 4.92562i −0.146740 + 0.169346i
\(847\) −0.209531 0.713597i −0.00719957 0.0245195i
\(848\) −1.21664 0.555621i −0.0417796 0.0190801i
\(849\) 0.445737 + 3.10017i 0.0152976 + 0.106397i
\(850\) 15.9884 6.25506i 0.548397 0.214547i
\(851\) −42.2924 + 7.22476i −1.44977 + 0.247661i
\(852\) 4.39534i 0.150582i
\(853\) 15.8427 2.27783i 0.542442 0.0779914i 0.134353 0.990934i \(-0.457104\pi\)
0.408089 + 0.912942i \(0.366195\pi\)
\(854\) 0.0209734 0.0459252i 0.000717693 0.00157153i
\(855\) 4.16862 + 8.16481i 0.142564 + 0.279231i
\(856\) −3.98225 + 4.59576i −0.136110 + 0.157080i
\(857\) 7.35934 25.0636i 0.251390 0.856156i −0.733011 0.680217i \(-0.761886\pi\)
0.984401 0.175939i \(-0.0562962\pi\)
\(858\) −3.32144 5.16826i −0.113392 0.176441i
\(859\) −3.64437 7.98007i −0.124344 0.272276i 0.837215 0.546874i \(-0.184182\pi\)
−0.961559 + 0.274598i \(0.911455\pi\)
\(860\) 9.71195 + 7.69968i 0.331175 + 0.262557i
\(861\) 0.0211493 + 0.0135918i 0.000720766 + 0.000463208i
\(862\) −11.1150 1.59810i −0.378579 0.0544315i
\(863\) 25.5385 + 3.67188i 0.869339 + 0.124992i 0.562528 0.826778i \(-0.309829\pi\)
0.306811 + 0.951770i \(0.400738\pi\)
\(864\) 0.841254 + 0.540641i 0.0286200 + 0.0183930i
\(865\) −5.94686 4.71470i −0.202199 0.160305i
\(866\) 6.99818 + 15.3239i 0.237808 + 0.520727i
\(867\) −2.81664 4.38278i −0.0956581 0.148847i
\(868\) −0.00951092 + 0.0323912i −0.000322822 + 0.00109943i
\(869\) 43.5216 50.2266i 1.47637 1.70382i
\(870\) 1.07648 + 2.10844i 0.0364961 + 0.0714827i
\(871\) 6.04618 13.2393i 0.204867 0.448596i
\(872\) −6.24202 + 0.897468i −0.211382 + 0.0303921i
\(873\) 2.94366i 0.0996276i
\(874\) 19.5289 + 2.28356i 0.660573 + 0.0772425i
\(875\) −0.297017 + 0.185958i −0.0100410 + 0.00628652i
\(876\) 0.651892 + 4.53401i 0.0220254 + 0.153190i
\(877\) 35.3928 + 16.1633i 1.19513 + 0.545797i 0.910767 0.412920i \(-0.135491\pi\)
0.284362 + 0.958717i \(0.408218\pi\)
\(878\) 5.38565 + 18.3418i 0.181757 + 0.619007i
\(879\) 9.47664 10.9366i 0.319639 0.368883i
\(880\) 1.30426 13.1126i 0.0439665 0.442026i
\(881\) −21.2037 + 13.6268i −0.714372 + 0.459099i −0.846675 0.532111i \(-0.821399\pi\)
0.132303 + 0.991209i \(0.457763\pi\)
\(882\) −6.36653 + 2.90750i −0.214372 + 0.0979005i
\(883\) 24.1204 20.9004i 0.811715 0.703355i −0.146561 0.989202i \(-0.546820\pi\)
0.958275 + 0.285847i \(0.0922749\pi\)
\(884\) 3.01136 + 1.93528i 0.101283 + 0.0650905i
\(885\) −0.276151 6.32102i −0.00928272 0.212479i
\(886\) 0.985333 6.85314i 0.0331029 0.230236i
\(887\) 3.64271 5.66816i 0.122310 0.190318i −0.774699 0.632330i \(-0.782099\pi\)
0.897009 + 0.442012i \(0.145735\pi\)
\(888\) 6.76119 5.85860i 0.226891 0.196602i
\(889\) 0.172956 + 0.378721i 0.00580075 + 0.0127019i
\(890\) 11.6022 10.9757i 0.388907 0.367908i
\(891\) 5.65437 + 1.66027i 0.189428 + 0.0556212i
\(892\) −19.0473 16.5046i −0.637751 0.552614i
\(893\) −7.52804 25.6382i −0.251916 0.857949i
\(894\) 8.58115 18.7901i 0.286997 0.628435i
\(895\) 3.54103 1.20996i 0.118364 0.0404445i
\(896\) −0.0313432 −0.00104710
\(897\) 4.99790 0.131954i 0.166875 0.00440581i
\(898\) 16.2935i 0.543720i
\(899\) 0.162281 + 1.12869i 0.00541239 + 0.0376440i
\(900\) −0.277257 + 4.99231i −0.00924189 + 0.166410i
\(901\) 4.40655 1.29388i 0.146803 0.0431053i
\(902\) −3.57228 3.09540i −0.118944 0.103066i
\(903\) 0.0489442 0.166689i 0.00162876 0.00554705i
\(904\) 12.7568 8.19831i 0.424286 0.272672i
\(905\) −40.5303 + 28.6215i −1.34727 + 0.951412i
\(906\) 6.58954 + 7.60474i 0.218923 + 0.252650i
\(907\) −30.4865 + 47.4378i −1.01229 + 1.57515i −0.210449 + 0.977605i \(0.567493\pi\)
−0.801837 + 0.597543i \(0.796144\pi\)
\(908\) −22.7546 3.27162i −0.755138 0.108573i
\(909\) −0.968347 + 6.73500i −0.0321180 + 0.223386i
\(910\) −0.0677227 0.0274222i −0.00224499 0.000909036i
\(911\) −19.2458 22.2108i −0.637641 0.735877i 0.341315 0.939949i \(-0.389128\pi\)
−0.978956 + 0.204072i \(0.934582\pi\)
\(912\) −3.72930 + 1.70312i −0.123490 + 0.0563958i
\(913\) −14.0598 21.8775i −0.465312 0.724039i
\(914\) 17.0072 + 4.99377i 0.562549 + 0.165179i
\(915\) 1.81321 3.11219i 0.0599428 0.102886i
\(916\) −16.0406 + 4.70996i −0.529998 + 0.155621i
\(917\) −0.462204 0.211082i −0.0152633 0.00697053i
\(918\) −3.39873 + 0.488664i −0.112175 + 0.0161283i
\(919\) −44.4260 −1.46548 −0.732740 0.680509i \(-0.761759\pi\)
−0.732740 + 0.680509i \(0.761759\pi\)
\(920\) 8.57620 + 6.43807i 0.282749 + 0.212257i
\(921\) 24.3757 0.803207
\(922\) −32.0350 + 4.60594i −1.05502 + 0.151689i
\(923\) −4.16805 1.90349i −0.137193 0.0626540i
\(924\) −0.177226 + 0.0520382i −0.00583031 + 0.00171193i
\(925\) 42.1549 + 14.9629i 1.38604 + 0.491978i
\(926\) 15.2536 + 4.47887i 0.501265 + 0.147185i
\(927\) −7.08991 11.0321i −0.232863 0.362342i
\(928\) −0.963035 + 0.439803i −0.0316132 + 0.0144373i
\(929\) 2.09768 + 2.42086i 0.0688228 + 0.0794257i 0.789117 0.614243i \(-0.210539\pi\)
−0.720294 + 0.693669i \(0.755993\pi\)
\(930\) −0.903911 + 2.23233i −0.0296404 + 0.0732010i
\(931\) 4.08366 28.4024i 0.133836 0.930853i
\(932\) 13.3613 + 1.92106i 0.437664 + 0.0629266i
\(933\) 8.86687 13.7971i 0.290288 0.451697i
\(934\) −8.95589 10.3357i −0.293046 0.338193i
\(935\) 26.1003 + 36.9600i 0.853570 + 1.20872i
\(936\) −0.877004 + 0.563617i −0.0286658 + 0.0184224i
\(937\) 14.5345 49.5000i 0.474822 1.61710i −0.279190 0.960236i \(-0.590066\pi\)
0.754013 0.656860i \(-0.228116\pi\)
\(938\) −0.330708 0.286561i −0.0107980 0.00935653i
\(939\) 11.6521 3.42137i 0.380252 0.111652i
\(940\) 3.49164 14.1492i 0.113885 0.461496i
\(941\) 1.81340 + 12.6125i 0.0591153 + 0.411156i 0.997795 + 0.0663664i \(0.0211406\pi\)
−0.938680 + 0.344790i \(0.887950\pi\)
\(942\) 5.84749i 0.190522i
\(943\) 3.66100 1.18078i 0.119219 0.0384514i
\(944\) 2.82954 0.0920938
\(945\) 0.0663207 0.0226616i 0.00215741 0.000737182i
\(946\) −13.5689 + 29.7118i −0.441163 + 0.966013i
\(947\) 6.59841 + 22.4721i 0.214420 + 0.730246i 0.994516 + 0.104587i \(0.0333519\pi\)
−0.780096 + 0.625660i \(0.784830\pi\)
\(948\) −8.52299 7.38521i −0.276814 0.239861i
\(949\) −4.58186 1.34536i −0.148734 0.0436721i
\(950\) −16.6037 12.0218i −0.538697 0.390038i
\(951\) −3.76291 8.23962i −0.122021 0.267188i
\(952\) 0.0813358 0.0704778i 0.00263611 0.00228420i
\(953\) −11.6359 + 18.1057i −0.376922 + 0.586502i −0.976948 0.213478i \(-0.931521\pi\)
0.600026 + 0.799981i \(0.295157\pi\)
\(954\) −0.190347 + 1.32389i −0.00616272 + 0.0428626i
\(955\) 11.0468 0.482611i 0.357467 0.0156169i
\(956\) 4.80777 + 3.08976i 0.155494 + 0.0999301i
\(957\) −4.71516 + 4.08571i −0.152419 + 0.132072i
\(958\) 36.3262 16.5896i 1.17365 0.535987i
\(959\) −0.303524 + 0.195063i −0.00980131 + 0.00629892i
\(960\) −2.22509 0.221320i −0.0718144 0.00714308i
\(961\) 19.5410 22.5515i 0.630355 0.727468i
\(962\) 2.62759 + 8.94873i 0.0847168 + 0.288519i
\(963\) 5.53153 + 2.52616i 0.178251 + 0.0814045i
\(964\) −1.77647 12.3556i −0.0572163 0.397948i
\(965\) 8.17420 1.54207i 0.263137 0.0496410i
\(966\) 0.0385278 0.145295i 0.00123961 0.00467480i
\(967\) 30.0628i 0.966756i 0.875412 + 0.483378i \(0.160590\pi\)
−0.875412 + 0.483378i \(0.839410\pi\)
\(968\) 23.4868 3.37690i 0.754896 0.108538i
\(969\) 5.84796 12.8052i 0.187863 0.411364i
\(970\) 2.99307 + 5.86234i 0.0961017 + 0.188228i
\(971\) 4.45690 5.14353i 0.143029 0.165064i −0.679715 0.733476i \(-0.737897\pi\)
0.822744 + 0.568412i \(0.192442\pi\)
\(972\) 0.281733 0.959493i 0.00903658 0.0307758i
\(973\) −0.378574 0.589073i −0.0121365 0.0188848i
\(974\) −5.80052 12.7014i −0.185861 0.406978i
\(975\) −4.61408 2.42493i −0.147769 0.0776600i
\(976\) 1.35509 + 0.870865i 0.0433755 + 0.0278757i
\(977\) 11.2628 + 1.61934i 0.360328 + 0.0518074i 0.320102 0.947383i \(-0.396283\pi\)
0.0402267 + 0.999191i \(0.487192\pi\)
\(978\) −17.6574 2.53875i −0.564620 0.0811802i
\(979\) 35.4096 + 22.7564i 1.13170 + 0.727297i
\(980\) 9.72275 12.2637i 0.310582 0.391751i
\(981\) 2.61970 + 5.73633i 0.0836404 + 0.183147i
\(982\) −18.0727 28.1217i −0.576724 0.897400i
\(983\) 2.08329 7.09504i 0.0664467 0.226297i −0.919575 0.392915i \(-0.871467\pi\)
0.986021 + 0.166618i \(0.0532848\pi\)
\(984\) −0.525260 + 0.606183i −0.0167447 + 0.0193244i
\(985\) −16.0066 + 8.17231i −0.510013 + 0.260392i
\(986\) 1.51015 3.30676i 0.0480928 0.105309i
\(987\) −0.202201 + 0.0290721i −0.00643613 + 0.000925376i
\(988\) 4.27402i 0.135975i
\(989\) −14.9564 21.9750i −0.475586 0.698763i
\(990\) −12.9489 + 2.44283i −0.411544 + 0.0776381i
\(991\) 1.13815 + 7.91602i 0.0361546 + 0.251461i 0.999881 0.0154318i \(-0.00491228\pi\)
−0.963726 + 0.266892i \(0.914003\pi\)
\(992\) −0.979733 0.447429i −0.0311066 0.0142059i
\(993\) 9.05912 + 30.8525i 0.287482 + 0.979075i
\(994\) −0.0902163 + 0.104115i −0.00286149 + 0.00330233i
\(995\) −5.27298 + 53.0130i −0.167165 + 1.68063i
\(996\) −3.71241 + 2.38582i −0.117632 + 0.0755975i
\(997\) 11.6247 5.30884i 0.368159 0.168133i −0.222740 0.974878i \(-0.571500\pi\)
0.590899 + 0.806745i \(0.298773\pi\)
\(998\) −5.17353 + 4.48289i −0.163765 + 0.141903i
\(999\) −7.52613 4.83675i −0.238116 0.153028i
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 690.2.r.a.49.6 120
5.4 even 2 inner 690.2.r.a.49.8 yes 120
23.8 even 11 inner 690.2.r.a.169.8 yes 120
115.54 even 22 inner 690.2.r.a.169.6 yes 120
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
690.2.r.a.49.6 120 1.1 even 1 trivial
690.2.r.a.49.8 yes 120 5.4 even 2 inner
690.2.r.a.169.6 yes 120 115.54 even 22 inner
690.2.r.a.169.8 yes 120 23.8 even 11 inner