Properties

Label 98.2.g.a.11.1
Level $98$
Weight $2$
Character 98.11
Analytic conductor $0.783$
Analytic rank $0$
Dimension $24$
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] = [98,2,Mod(9,98)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(98, base_ring=CyclotomicField(42))
 
chi = DirichletCharacter(H, H._module([2]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("98.9");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 98 = 2 \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 98.g (of order \(21\), degree \(12\), 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: \(0.782533939809\)
Analytic rank: \(0\)
Dimension: \(24\)
Relative dimension: \(2\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 11.1
Character \(\chi\) \(=\) 98.11
Dual form 98.2.g.a.9.1

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.733052 - 0.680173i) q^{2} +(0.532240 - 0.0802223i) q^{3} +(0.0747301 - 0.997204i) q^{4} +(0.459870 - 1.17173i) q^{5} +(0.335594 - 0.420822i) q^{6} +(-1.68832 + 2.03705i) q^{7} +(-0.623490 - 0.781831i) q^{8} +(-2.58987 + 0.798871i) q^{9} +O(q^{10})\) \(q+(0.733052 - 0.680173i) q^{2} +(0.532240 - 0.0802223i) q^{3} +(0.0747301 - 0.997204i) q^{4} +(0.459870 - 1.17173i) q^{5} +(0.335594 - 0.420822i) q^{6} +(-1.68832 + 2.03705i) q^{7} +(-0.623490 - 0.781831i) q^{8} +(-2.58987 + 0.798871i) q^{9} +(-0.459870 - 1.17173i) q^{10} +(5.54024 + 1.70894i) q^{11} +(-0.0402236 - 0.536747i) q^{12} +(-0.471031 - 2.06372i) q^{13} +(0.147925 + 2.64161i) q^{14} +(0.150762 - 0.660533i) q^{15} +(-0.988831 - 0.149042i) q^{16} +(-6.62937 + 4.51983i) q^{17} +(-1.35514 + 2.34718i) q^{18} +(-1.31648 - 2.28021i) q^{19} +(-1.13409 - 0.546148i) q^{20} +(-0.735172 + 1.21964i) q^{21} +(5.22365 - 2.51558i) q^{22} +(1.09005 + 0.743183i) q^{23} +(-0.394566 - 0.366104i) q^{24} +(2.50379 + 2.32318i) q^{25} +(-1.74898 - 1.19243i) q^{26} +(-2.76919 + 1.33357i) q^{27} +(1.90519 + 1.83582i) q^{28} +(-0.191182 - 0.0920683i) q^{29} +(-0.338760 - 0.586749i) q^{30} +(1.96083 - 3.39625i) q^{31} +(-0.826239 + 0.563320i) q^{32} +(3.08583 + 0.465114i) q^{33} +(-1.78541 + 7.82238i) q^{34} +(1.61047 + 2.91503i) q^{35} +(0.603095 + 2.64233i) q^{36} +(-0.571461 - 7.62562i) q^{37} +(-2.51599 - 0.776080i) q^{38} +(-0.416258 - 1.06061i) q^{39} +(-1.20282 + 0.371021i) q^{40} +(-4.18126 - 5.24313i) q^{41} +(0.290648 + 1.39410i) q^{42} +(2.28771 - 2.86870i) q^{43} +(2.11818 - 5.39704i) q^{44} +(-0.254945 + 3.40201i) q^{45} +(1.30456 - 0.196630i) q^{46} +(6.31247 - 5.85711i) q^{47} -0.538252 q^{48} +(-1.29917 - 6.87838i) q^{49} +3.41557 q^{50} +(-3.16582 + 2.93745i) q^{51} +(-2.09315 + 0.315492i) q^{52} +(-0.378107 + 5.04549i) q^{53} +(-1.12290 + 2.86111i) q^{54} +(4.55020 - 5.70577i) q^{55} +(2.64528 + 0.0498970i) q^{56} +(-0.883608 - 1.10801i) q^{57} +(-0.202769 + 0.0625458i) q^{58} +(4.53197 + 11.5473i) q^{59} +(-0.647420 - 0.199702i) q^{60} +(-0.472890 - 6.31027i) q^{61} +(-0.872650 - 3.82333i) q^{62} +(2.74519 - 6.62446i) q^{63} +(-0.222521 + 0.974928i) q^{64} +(-2.63474 - 0.397122i) q^{65} +(2.57843 - 1.75794i) q^{66} +(0.838966 - 1.45313i) q^{67} +(4.01177 + 6.94860i) q^{68} +(0.639788 + 0.308106i) q^{69} +(3.16328 + 1.04147i) q^{70} +(-1.73115 + 0.833679i) q^{71} +(2.23934 + 1.52676i) q^{72} +(0.00982919 + 0.00912015i) q^{73} +(-5.60565 - 5.20128i) q^{74} +(1.51899 + 1.03563i) q^{75} +(-2.37222 + 1.14240i) q^{76} +(-12.8349 + 8.40053i) q^{77} +(-1.02653 - 0.494353i) q^{78} +(2.39693 + 4.15161i) q^{79} +(-0.629371 + 1.09010i) q^{80} +(5.35114 - 3.64834i) q^{81} +(-6.63131 - 0.999509i) q^{82} +(-2.09213 + 9.16622i) q^{83} +(1.16129 + 0.824261i) q^{84} +(2.24737 + 9.84636i) q^{85} +(-0.274200 - 3.65895i) q^{86} +(-0.109141 - 0.0336654i) q^{87} +(-2.11818 - 5.39704i) q^{88} +(3.24383 - 1.00059i) q^{89} +(2.12707 + 2.66726i) q^{90} +(4.99916 + 2.52470i) q^{91} +(0.822565 - 1.03146i) q^{92} +(0.771176 - 1.96492i) q^{93} +(0.643517 - 8.58714i) q^{94} +(-3.27720 + 0.493959i) q^{95} +(-0.394566 + 0.366104i) q^{96} -7.76637 q^{97} +(-5.63085 - 4.15855i) q^{98} -15.7137 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 24 q - 2 q^{2} + 7 q^{3} + 2 q^{4} - 7 q^{6} + 4 q^{8} - 33 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 24 q - 2 q^{2} + 7 q^{3} + 2 q^{4} - 7 q^{6} + 4 q^{8} - 33 q^{9} - 7 q^{11} + 14 q^{13} - 7 q^{15} + 2 q^{16} - 7 q^{17} + 5 q^{18} - 7 q^{20} + 7 q^{21} - 7 q^{22} - 21 q^{23} + 4 q^{25} - 7 q^{26} - 35 q^{27} - 14 q^{28} - 11 q^{29} + 28 q^{31} - 2 q^{32} + 14 q^{33} + 7 q^{34} + 21 q^{35} + 3 q^{36} - 24 q^{37} - 7 q^{38} - 40 q^{39} + 14 q^{40} + 28 q^{41} - 21 q^{42} + 10 q^{43} + 21 q^{44} + 7 q^{45} + 42 q^{46} - 70 q^{47} - 14 q^{48} + 84 q^{49} + 8 q^{50} + 60 q^{51} - 7 q^{52} + 26 q^{53} + 63 q^{54} + 56 q^{55} + 21 q^{56} - 33 q^{57} - 30 q^{58} - 7 q^{59} + 14 q^{60} + 14 q^{61} + 28 q^{62} - 14 q^{63} - 4 q^{64} - 21 q^{66} - 36 q^{67} - 14 q^{68} - 35 q^{69} + 14 q^{70} - 2 q^{72} - 7 q^{73} - 11 q^{74} - 28 q^{75} - 91 q^{77} - 24 q^{78} - 26 q^{79} + 55 q^{81} + 14 q^{82} - 7 q^{83} - 21 q^{84} + 49 q^{85} - 16 q^{86} + 35 q^{87} - 21 q^{88} - 56 q^{89} - 21 q^{90} + 7 q^{91} + 21 q^{92} + 72 q^{93} - 35 q^{94} - 14 q^{95} - 126 q^{97} - 56 q^{98} - 14 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/98\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{20}{21}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.733052 0.680173i 0.518346 0.480955i
\(3\) 0.532240 0.0802223i 0.307289 0.0463163i 0.00641230 0.999979i \(-0.497959\pi\)
0.300877 + 0.953663i \(0.402721\pi\)
\(4\) 0.0747301 0.997204i 0.0373650 0.498602i
\(5\) 0.459870 1.17173i 0.205660 0.524013i −0.790410 0.612578i \(-0.790133\pi\)
0.996070 + 0.0885643i \(0.0282279\pi\)
\(6\) 0.335594 0.420822i 0.137006 0.171800i
\(7\) −1.68832 + 2.03705i −0.638124 + 0.769934i
\(8\) −0.623490 0.781831i −0.220437 0.276419i
\(9\) −2.58987 + 0.798871i −0.863292 + 0.266290i
\(10\) −0.459870 1.17173i −0.145424 0.370533i
\(11\) 5.54024 + 1.70894i 1.67044 + 0.515264i 0.978423 0.206613i \(-0.0662440\pi\)
0.692022 + 0.721877i \(0.256720\pi\)
\(12\) −0.0402236 0.536747i −0.0116116 0.154945i
\(13\) −0.471031 2.06372i −0.130640 0.572373i −0.997298 0.0734688i \(-0.976593\pi\)
0.866657 0.498904i \(-0.166264\pi\)
\(14\) 0.147925 + 2.64161i 0.0395345 + 0.706001i
\(15\) 0.150762 0.660533i 0.0389267 0.170549i
\(16\) −0.988831 0.149042i −0.247208 0.0372606i
\(17\) −6.62937 + 4.51983i −1.60786 + 1.09622i −0.673908 + 0.738816i \(0.735385\pi\)
−0.933950 + 0.357403i \(0.883662\pi\)
\(18\) −1.35514 + 2.34718i −0.319410 + 0.553235i
\(19\) −1.31648 2.28021i −0.302022 0.523117i 0.674572 0.738209i \(-0.264328\pi\)
−0.976594 + 0.215092i \(0.930995\pi\)
\(20\) −1.13409 0.546148i −0.253590 0.122122i
\(21\) −0.735172 + 1.21964i −0.160428 + 0.266148i
\(22\) 5.22365 2.51558i 1.11369 0.536323i
\(23\) 1.09005 + 0.743183i 0.227291 + 0.154964i 0.671611 0.740904i \(-0.265602\pi\)
−0.444320 + 0.895868i \(0.646555\pi\)
\(24\) −0.394566 0.366104i −0.0805405 0.0747307i
\(25\) 2.50379 + 2.32318i 0.500758 + 0.464635i
\(26\) −1.74898 1.19243i −0.343003 0.233855i
\(27\) −2.76919 + 1.33357i −0.532931 + 0.256646i
\(28\) 1.90519 + 1.83582i 0.360047 + 0.346938i
\(29\) −0.191182 0.0920683i −0.0355016 0.0170967i 0.416049 0.909342i \(-0.363415\pi\)
−0.451550 + 0.892246i \(0.649129\pi\)
\(30\) −0.338760 0.586749i −0.0618488 0.107125i
\(31\) 1.96083 3.39625i 0.352175 0.609985i −0.634455 0.772960i \(-0.718776\pi\)
0.986630 + 0.162975i \(0.0521088\pi\)
\(32\) −0.826239 + 0.563320i −0.146060 + 0.0995819i
\(33\) 3.08583 + 0.465114i 0.537174 + 0.0809660i
\(34\) −1.78541 + 7.82238i −0.306195 + 1.34153i
\(35\) 1.61047 + 2.91503i 0.272219 + 0.492730i
\(36\) 0.603095 + 2.64233i 0.100516 + 0.440389i
\(37\) −0.571461 7.62562i −0.0939477 1.25364i −0.822544 0.568701i \(-0.807446\pi\)
0.728596 0.684943i \(-0.240173\pi\)
\(38\) −2.51599 0.776080i −0.408147 0.125897i
\(39\) −0.416258 1.06061i −0.0666546 0.169833i
\(40\) −1.20282 + 0.371021i −0.190182 + 0.0586635i
\(41\) −4.18126 5.24313i −0.653002 0.818839i 0.339559 0.940585i \(-0.389722\pi\)
−0.992561 + 0.121746i \(0.961151\pi\)
\(42\) 0.290648 + 1.39410i 0.0448479 + 0.215115i
\(43\) 2.28771 2.86870i 0.348873 0.437473i −0.576173 0.817328i \(-0.695455\pi\)
0.925046 + 0.379855i \(0.124026\pi\)
\(44\) 2.11818 5.39704i 0.319328 0.813634i
\(45\) −0.254945 + 3.40201i −0.0380050 + 0.507142i
\(46\) 1.30456 0.196630i 0.192346 0.0289915i
\(47\) 6.31247 5.85711i 0.920768 0.854348i −0.0689148 0.997623i \(-0.521954\pi\)
0.989683 + 0.143275i \(0.0457632\pi\)
\(48\) −0.538252 −0.0776899
\(49\) −1.29917 6.87838i −0.185596 0.982626i
\(50\) 3.41557 0.483034
\(51\) −3.16582 + 2.93745i −0.443304 + 0.411326i
\(52\) −2.09315 + 0.315492i −0.290268 + 0.0437508i
\(53\) −0.378107 + 5.04549i −0.0519370 + 0.693051i 0.909091 + 0.416598i \(0.136778\pi\)
−0.961028 + 0.276452i \(0.910841\pi\)
\(54\) −1.12290 + 2.86111i −0.152808 + 0.389347i
\(55\) 4.55020 5.70577i 0.613549 0.769366i
\(56\) 2.64528 + 0.0498970i 0.353491 + 0.00666776i
\(57\) −0.883608 1.10801i −0.117037 0.146759i
\(58\) −0.202769 + 0.0625458i −0.0266248 + 0.00821267i
\(59\) 4.53197 + 11.5473i 0.590013 + 1.50333i 0.844121 + 0.536152i \(0.180123\pi\)
−0.254108 + 0.967176i \(0.581782\pi\)
\(60\) −0.647420 0.199702i −0.0835815 0.0257815i
\(61\) −0.472890 6.31027i −0.0605473 0.807948i −0.941987 0.335650i \(-0.891044\pi\)
0.881439 0.472297i \(-0.156575\pi\)
\(62\) −0.872650 3.82333i −0.110827 0.485564i
\(63\) 2.74519 6.62446i 0.345861 0.834603i
\(64\) −0.222521 + 0.974928i −0.0278151 + 0.121866i
\(65\) −2.63474 0.397122i −0.326799 0.0492570i
\(66\) 2.57843 1.75794i 0.317383 0.216388i
\(67\) 0.838966 1.45313i 0.102496 0.177528i −0.810216 0.586131i \(-0.800650\pi\)
0.912712 + 0.408603i \(0.133984\pi\)
\(68\) 4.01177 + 6.94860i 0.486499 + 0.842641i
\(69\) 0.639788 + 0.308106i 0.0770214 + 0.0370915i
\(70\) 3.16328 + 1.04147i 0.378085 + 0.124480i
\(71\) −1.73115 + 0.833679i −0.205450 + 0.0989395i −0.533779 0.845624i \(-0.679229\pi\)
0.328329 + 0.944563i \(0.393514\pi\)
\(72\) 2.23934 + 1.52676i 0.263909 + 0.179930i
\(73\) 0.00982919 + 0.00912015i 0.00115042 + 0.00106743i 0.680748 0.732518i \(-0.261655\pi\)
−0.679597 + 0.733585i \(0.737845\pi\)
\(74\) −5.60565 5.20128i −0.651644 0.604637i
\(75\) 1.51899 + 1.03563i 0.175398 + 0.119584i
\(76\) −2.37222 + 1.14240i −0.272112 + 0.131042i
\(77\) −12.8349 + 8.40053i −1.46267 + 0.957330i
\(78\) −1.02653 0.494353i −0.116232 0.0559745i
\(79\) 2.39693 + 4.15161i 0.269676 + 0.467092i 0.968778 0.247930i \(-0.0797502\pi\)
−0.699102 + 0.715022i \(0.746417\pi\)
\(80\) −0.629371 + 1.09010i −0.0703658 + 0.121877i
\(81\) 5.35114 3.64834i 0.594571 0.405371i
\(82\) −6.63131 0.999509i −0.732306 0.110377i
\(83\) −2.09213 + 9.16622i −0.229641 + 1.00612i 0.720292 + 0.693671i \(0.244008\pi\)
−0.949933 + 0.312453i \(0.898849\pi\)
\(84\) 1.16129 + 0.824261i 0.126707 + 0.0899342i
\(85\) 2.24737 + 9.84636i 0.243761 + 1.06799i
\(86\) −0.274200 3.65895i −0.0295678 0.394555i
\(87\) −0.109141 0.0336654i −0.0117011 0.00360931i
\(88\) −2.11818 5.39704i −0.225799 0.575326i
\(89\) 3.24383 1.00059i 0.343845 0.106062i −0.118023 0.993011i \(-0.537656\pi\)
0.461868 + 0.886949i \(0.347179\pi\)
\(90\) 2.12707 + 2.66726i 0.224212 + 0.281154i
\(91\) 4.99916 + 2.52470i 0.524054 + 0.264660i
\(92\) 0.822565 1.03146i 0.0857583 0.107538i
\(93\) 0.771176 1.96492i 0.0799672 0.203753i
\(94\) 0.643517 8.58714i 0.0663737 0.885696i
\(95\) −3.27720 + 0.493959i −0.336234 + 0.0506791i
\(96\) −0.394566 + 0.366104i −0.0402703 + 0.0373653i
\(97\) −7.76637 −0.788555 −0.394278 0.918991i \(-0.629005\pi\)
−0.394278 + 0.918991i \(0.629005\pi\)
\(98\) −5.63085 4.15855i −0.568802 0.420077i
\(99\) −15.7137 −1.57929
\(100\) 2.50379 2.32318i 0.250379 0.232318i
\(101\) 8.37836 1.26284i 0.833678 0.125657i 0.281687 0.959506i \(-0.409106\pi\)
0.551992 + 0.833850i \(0.313868\pi\)
\(102\) −0.322736 + 4.30661i −0.0319556 + 0.426418i
\(103\) −5.67654 + 14.4636i −0.559326 + 1.42514i 0.319310 + 0.947650i \(0.396549\pi\)
−0.878637 + 0.477490i \(0.841547\pi\)
\(104\) −1.31980 + 1.65498i −0.129417 + 0.162284i
\(105\) 1.09101 + 1.42230i 0.106471 + 0.138802i
\(106\) 3.15463 + 3.95578i 0.306405 + 0.384219i
\(107\) −14.4617 + 4.46084i −1.39806 + 0.431246i −0.899998 0.435894i \(-0.856432\pi\)
−0.498066 + 0.867139i \(0.665956\pi\)
\(108\) 1.12290 + 2.86111i 0.108051 + 0.275310i
\(109\) −9.77856 3.01629i −0.936616 0.288908i −0.211377 0.977405i \(-0.567795\pi\)
−0.725239 + 0.688497i \(0.758271\pi\)
\(110\) −0.545377 7.27755i −0.0519997 0.693887i
\(111\) −0.915899 4.01282i −0.0869333 0.380880i
\(112\) 1.97307 1.76267i 0.186437 0.166557i
\(113\) −1.76014 + 7.71166i −0.165580 + 0.725452i 0.822149 + 0.569273i \(0.192775\pi\)
−0.987729 + 0.156180i \(0.950082\pi\)
\(114\) −1.40137 0.211222i −0.131250 0.0197828i
\(115\) 1.37209 0.935476i 0.127948 0.0872336i
\(116\) −0.106098 + 0.183767i −0.00985095 + 0.0170623i
\(117\) 2.86856 + 4.96849i 0.265198 + 0.459337i
\(118\) 11.1763 + 5.38223i 1.02886 + 0.495475i
\(119\) 1.98534 21.1353i 0.181996 1.93747i
\(120\) −0.610424 + 0.293965i −0.0557239 + 0.0268352i
\(121\) 18.6851 + 12.7393i 1.69865 + 1.15812i
\(122\) −4.63873 4.30411i −0.419971 0.389676i
\(123\) −2.64605 2.45517i −0.238586 0.221375i
\(124\) −3.24022 2.20915i −0.290981 0.198387i
\(125\) 9.54399 4.59614i 0.853640 0.411092i
\(126\) −2.49341 6.72327i −0.222131 0.598957i
\(127\) −10.7103 5.15783i −0.950389 0.457683i −0.106567 0.994306i \(-0.533986\pi\)
−0.843823 + 0.536622i \(0.819700\pi\)
\(128\) 0.500000 + 0.866025i 0.0441942 + 0.0765466i
\(129\) 0.987479 1.71036i 0.0869426 0.150589i
\(130\) −2.20151 + 1.50096i −0.193085 + 0.131643i
\(131\) 6.52336 + 0.983238i 0.569949 + 0.0859059i 0.427693 0.903924i \(-0.359326\pi\)
0.142256 + 0.989830i \(0.454565\pi\)
\(132\) 0.694418 3.04244i 0.0604413 0.264811i
\(133\) 6.86756 + 1.16798i 0.595493 + 0.101277i
\(134\) −0.373375 1.63586i −0.0322547 0.141317i
\(135\) 0.289118 + 3.85801i 0.0248833 + 0.332045i
\(136\) 7.66709 + 2.36498i 0.657447 + 0.202796i
\(137\) 4.67202 + 11.9041i 0.399158 + 1.01704i 0.979281 + 0.202508i \(0.0649092\pi\)
−0.580123 + 0.814529i \(0.696996\pi\)
\(138\) 0.678563 0.209309i 0.0577631 0.0178176i
\(139\) 5.88533 + 7.37998i 0.499188 + 0.625961i 0.966046 0.258371i \(-0.0831856\pi\)
−0.466858 + 0.884332i \(0.654614\pi\)
\(140\) 3.02723 1.38813i 0.255848 0.117318i
\(141\) 2.88988 3.62379i 0.243371 0.305178i
\(142\) −0.701978 + 1.78861i −0.0589087 + 0.150097i
\(143\) 0.917146 12.2385i 0.0766956 1.02343i
\(144\) 2.68001 0.403947i 0.223334 0.0336623i
\(145\) −0.195798 + 0.181674i −0.0162601 + 0.0150872i
\(146\) 0.0134086 0.00110970
\(147\) −1.24327 3.55673i −0.102543 0.293354i
\(148\) −7.64701 −0.628580
\(149\) 0.0236487 0.0219428i 0.00193738 0.00179762i −0.679203 0.733950i \(-0.737675\pi\)
0.681141 + 0.732152i \(0.261484\pi\)
\(150\) 1.81790 0.274005i 0.148431 0.0223724i
\(151\) 1.39613 18.6301i 0.113616 1.51610i −0.591095 0.806602i \(-0.701304\pi\)
0.704711 0.709495i \(-0.251077\pi\)
\(152\) −0.961930 + 2.45096i −0.0780228 + 0.198799i
\(153\) 13.5585 17.0018i 1.09614 1.37451i
\(154\) −3.69481 + 14.8880i −0.297736 + 1.19971i
\(155\) −3.07776 3.85939i −0.247212 0.309994i
\(156\) −1.08875 + 0.335834i −0.0871696 + 0.0268883i
\(157\) −7.34242 18.7082i −0.585989 1.49307i −0.849059 0.528298i \(-0.822830\pi\)
0.263071 0.964777i \(-0.415265\pi\)
\(158\) 4.58088 + 1.41302i 0.364435 + 0.112413i
\(159\) 0.203517 + 2.71574i 0.0161399 + 0.215372i
\(160\) 0.280096 + 1.22718i 0.0221436 + 0.0970173i
\(161\) −3.35425 + 0.965761i −0.264352 + 0.0761126i
\(162\) 1.44116 6.31412i 0.113228 0.496084i
\(163\) 5.86188 + 0.883537i 0.459138 + 0.0692039i 0.374539 0.927211i \(-0.377801\pi\)
0.0845991 + 0.996415i \(0.473039\pi\)
\(164\) −5.54093 + 3.77774i −0.432674 + 0.294992i
\(165\) 1.96407 3.40187i 0.152903 0.264835i
\(166\) 4.70097 + 8.14233i 0.364866 + 0.631967i
\(167\) 18.1506 + 8.74087i 1.40454 + 0.676389i 0.974076 0.226221i \(-0.0726372\pi\)
0.430460 + 0.902610i \(0.358351\pi\)
\(168\) 1.41193 0.185653i 0.108933 0.0143235i
\(169\) 7.67552 3.69634i 0.590425 0.284334i
\(170\) 8.34466 + 5.68929i 0.640006 + 0.436349i
\(171\) 5.23112 + 4.85377i 0.400034 + 0.371177i
\(172\) −2.68972 2.49570i −0.205089 0.190295i
\(173\) −6.10235 4.16051i −0.463953 0.316318i 0.308685 0.951164i \(-0.400111\pi\)
−0.772638 + 0.634846i \(0.781063\pi\)
\(174\) −0.102904 + 0.0495559i −0.00780113 + 0.00375683i
\(175\) −8.95963 + 1.17809i −0.677284 + 0.0890556i
\(176\) −5.22365 2.51558i −0.393748 0.189619i
\(177\) 3.33845 + 5.78236i 0.250933 + 0.434629i
\(178\) 1.69732 2.93985i 0.127220 0.220351i
\(179\) −5.36480 + 3.65766i −0.400984 + 0.273386i −0.746976 0.664851i \(-0.768495\pi\)
0.345992 + 0.938238i \(0.387543\pi\)
\(180\) 3.37344 + 0.508465i 0.251442 + 0.0378987i
\(181\) −4.39369 + 19.2500i −0.326580 + 1.43084i 0.499022 + 0.866589i \(0.333693\pi\)
−0.825603 + 0.564252i \(0.809165\pi\)
\(182\) 5.38187 1.54956i 0.398931 0.114861i
\(183\) −0.757915 3.32064i −0.0560267 0.245469i
\(184\) −0.0985908 1.31560i −0.00726821 0.0969875i
\(185\) −9.19797 2.83720i −0.676248 0.208595i
\(186\) −0.771176 1.96492i −0.0565453 0.144075i
\(187\) −44.4524 + 13.7117i −3.25068 + 1.00270i
\(188\) −5.36901 6.73252i −0.391575 0.491020i
\(189\) 1.95871 7.89248i 0.142475 0.574094i
\(190\) −2.06638 + 2.59116i −0.149911 + 0.187983i
\(191\) 2.49244 6.35063i 0.180347 0.459515i −0.811901 0.583796i \(-0.801567\pi\)
0.992247 + 0.124280i \(0.0396622\pi\)
\(192\) −0.0402236 + 0.536747i −0.00290289 + 0.0387364i
\(193\) −14.7436 + 2.22223i −1.06126 + 0.159960i −0.656397 0.754416i \(-0.727920\pi\)
−0.404867 + 0.914375i \(0.632682\pi\)
\(194\) −5.69315 + 5.28247i −0.408745 + 0.379259i
\(195\) −1.43417 −0.102703
\(196\) −6.95624 + 0.781519i −0.496874 + 0.0558228i
\(197\) 17.0370 1.21383 0.606916 0.794766i \(-0.292406\pi\)
0.606916 + 0.794766i \(0.292406\pi\)
\(198\) −11.5190 + 10.6881i −0.818619 + 0.759567i
\(199\) 10.6786 1.60954i 0.756988 0.114098i 0.240802 0.970574i \(-0.422589\pi\)
0.516186 + 0.856477i \(0.327351\pi\)
\(200\) 0.255246 3.40602i 0.0180486 0.240842i
\(201\) 0.329958 0.840719i 0.0232734 0.0592997i
\(202\) 5.28283 6.62446i 0.371699 0.466095i
\(203\) 0.510324 0.234007i 0.0358177 0.0164241i
\(204\) 2.69266 + 3.37649i 0.188524 + 0.236401i
\(205\) −8.06636 + 2.48814i −0.563379 + 0.173779i
\(206\) 5.67654 + 14.4636i 0.395504 + 1.00773i
\(207\) −3.41680 1.05394i −0.237484 0.0732541i
\(208\) 0.158188 + 2.11087i 0.0109684 + 0.146363i
\(209\) −3.39688 14.8827i −0.234967 1.02946i
\(210\) 1.76717 + 0.300547i 0.121947 + 0.0207397i
\(211\) −1.15716 + 5.06984i −0.0796620 + 0.349022i −0.999013 0.0444161i \(-0.985857\pi\)
0.919351 + 0.393438i \(0.128714\pi\)
\(212\) 5.00312 + 0.754099i 0.343616 + 0.0517918i
\(213\) −0.854508 + 0.582594i −0.0585500 + 0.0399187i
\(214\) −7.56702 + 13.1065i −0.517271 + 0.895940i
\(215\) −2.30929 3.99981i −0.157492 0.272785i
\(216\) 2.76919 + 1.33357i 0.188420 + 0.0907381i
\(217\) 3.60785 + 9.72826i 0.244917 + 0.660397i
\(218\) −9.21979 + 4.44002i −0.624443 + 0.300716i
\(219\) 0.00596312 + 0.00406559i 0.000402951 + 0.000274727i
\(220\) −5.34978 4.96387i −0.360682 0.334664i
\(221\) 12.4503 + 11.5522i 0.837497 + 0.777084i
\(222\) −3.40081 2.31863i −0.228247 0.155616i
\(223\) −17.1860 + 8.27633i −1.15086 + 0.554224i −0.909291 0.416160i \(-0.863375\pi\)
−0.241566 + 0.970384i \(0.577661\pi\)
\(224\) 0.247440 2.63416i 0.0165327 0.176002i
\(225\) −8.34042 4.01653i −0.556028 0.267769i
\(226\) 3.95499 + 6.85025i 0.263082 + 0.455672i
\(227\) 2.67401 4.63152i 0.177480 0.307405i −0.763537 0.645765i \(-0.776539\pi\)
0.941017 + 0.338360i \(0.109872\pi\)
\(228\) −1.17094 + 0.798336i −0.0775476 + 0.0528711i
\(229\) 27.3615 + 4.12408i 1.80810 + 0.272527i 0.964430 0.264338i \(-0.0851536\pi\)
0.843668 + 0.536865i \(0.180392\pi\)
\(230\) 0.369529 1.61901i 0.0243660 0.106754i
\(231\) −6.15732 + 5.50074i −0.405122 + 0.361922i
\(232\) 0.0472180 + 0.206876i 0.00310001 + 0.0135821i
\(233\) −1.28486 17.1452i −0.0841739 1.12322i −0.866107 0.499859i \(-0.833385\pi\)
0.781933 0.623363i \(-0.214234\pi\)
\(234\) 5.48223 + 1.69104i 0.358385 + 0.110547i
\(235\) −3.96004 10.0900i −0.258325 0.658200i
\(236\) 11.8537 3.65637i 0.771608 0.238010i
\(237\) 1.60879 + 2.01736i 0.104502 + 0.131042i
\(238\) −12.9203 16.8436i −0.837497 1.09181i
\(239\) −0.942997 + 1.18248i −0.0609974 + 0.0764883i −0.811394 0.584499i \(-0.801291\pi\)
0.750397 + 0.660988i \(0.229862\pi\)
\(240\) −0.247526 + 0.630685i −0.0159777 + 0.0407106i
\(241\) −1.30246 + 17.3801i −0.0838987 + 1.11955i 0.783319 + 0.621620i \(0.213525\pi\)
−0.867217 + 0.497930i \(0.834094\pi\)
\(242\) 22.3621 3.37055i 1.43749 0.216667i
\(243\) 9.31467 8.64275i 0.597536 0.554433i
\(244\) −6.32797 −0.405107
\(245\) −8.65706 1.64088i −0.553079 0.104832i
\(246\) −3.60963 −0.230142
\(247\) −4.08562 + 3.79090i −0.259962 + 0.241209i
\(248\) −3.87785 + 0.584492i −0.246244 + 0.0371153i
\(249\) −0.378180 + 5.04646i −0.0239662 + 0.319807i
\(250\) 3.87007 9.86077i 0.244765 0.623650i
\(251\) 6.90307 8.65617i 0.435718 0.546373i −0.514691 0.857376i \(-0.672093\pi\)
0.950409 + 0.311003i \(0.100665\pi\)
\(252\) −6.40079 3.23256i −0.403212 0.203632i
\(253\) 4.76908 + 5.98024i 0.299830 + 0.375974i
\(254\) −11.3595 + 3.50393i −0.712755 + 0.219856i
\(255\) 1.98604 + 5.06034i 0.124370 + 0.316891i
\(256\) 0.955573 + 0.294755i 0.0597233 + 0.0184222i
\(257\) 0.780496 + 10.4150i 0.0486860 + 0.649669i 0.967157 + 0.254181i \(0.0818057\pi\)
−0.918471 + 0.395489i \(0.870575\pi\)
\(258\) −0.439469 1.92544i −0.0273602 0.119873i
\(259\) 16.4986 + 11.7104i 1.02517 + 0.727647i
\(260\) −0.592906 + 2.59769i −0.0367705 + 0.161102i
\(261\) 0.568688 + 0.0857159i 0.0352009 + 0.00530568i
\(262\) 5.45073 3.71625i 0.336747 0.229590i
\(263\) 7.63814 13.2296i 0.470988 0.815775i −0.528462 0.848957i \(-0.677231\pi\)
0.999449 + 0.0331826i \(0.0105643\pi\)
\(264\) −1.56034 2.70259i −0.0960325 0.166333i
\(265\) 5.73807 + 2.76331i 0.352487 + 0.169749i
\(266\) 5.82870 3.81494i 0.357381 0.233909i
\(267\) 1.64623 0.792781i 0.100747 0.0485174i
\(268\) −1.38637 0.945213i −0.0846862 0.0577381i
\(269\) −7.00276 6.49761i −0.426966 0.396166i 0.437208 0.899361i \(-0.355967\pi\)
−0.864173 + 0.503194i \(0.832158\pi\)
\(270\) 2.83605 + 2.63147i 0.172597 + 0.160146i
\(271\) −15.8237 10.7884i −0.961221 0.655350i −0.0223981 0.999749i \(-0.507130\pi\)
−0.938823 + 0.344400i \(0.888083\pi\)
\(272\) 7.22897 3.48129i 0.438321 0.211084i
\(273\) 2.86329 + 0.942702i 0.173294 + 0.0570549i
\(274\) 11.5217 + 5.54855i 0.696050 + 0.335200i
\(275\) 9.90143 + 17.1498i 0.597078 + 1.03417i
\(276\) 0.355055 0.614974i 0.0213718 0.0370171i
\(277\) −4.08268 + 2.78353i −0.245305 + 0.167246i −0.679731 0.733461i \(-0.737904\pi\)
0.434426 + 0.900707i \(0.356951\pi\)
\(278\) 9.33391 + 1.40686i 0.559811 + 0.0843779i
\(279\) −2.36513 + 10.3623i −0.141597 + 0.620376i
\(280\) 1.27495 3.07661i 0.0761929 0.183862i
\(281\) −1.45969 6.39531i −0.0870777 0.381512i 0.912545 0.408976i \(-0.134114\pi\)
−0.999623 + 0.0274638i \(0.991257\pi\)
\(282\) −0.346374 4.62204i −0.0206263 0.275239i
\(283\) −0.0891534 0.0275002i −0.00529962 0.00163472i 0.292104 0.956386i \(-0.405645\pi\)
−0.297404 + 0.954752i \(0.596121\pi\)
\(284\) 0.701978 + 1.78861i 0.0416548 + 0.106135i
\(285\) −1.70463 + 0.525810i −0.100974 + 0.0311463i
\(286\) −7.65195 9.59525i −0.452470 0.567379i
\(287\) 17.7398 + 0.334620i 1.04715 + 0.0197520i
\(288\) 1.68984 2.11899i 0.0995745 0.124862i
\(289\) 17.3089 44.1023i 1.01817 2.59425i
\(290\) −0.0199604 + 0.266353i −0.00117211 + 0.0156408i
\(291\) −4.13357 + 0.623036i −0.242314 + 0.0365230i
\(292\) 0.00982919 0.00912015i 0.000575210 0.000533717i
\(293\) −28.4218 −1.66042 −0.830211 0.557450i \(-0.811780\pi\)
−0.830211 + 0.557450i \(0.811780\pi\)
\(294\) −3.33057 1.76163i −0.194243 0.102740i
\(295\) 15.6144 0.909106
\(296\) −5.60565 + 5.20128i −0.325822 + 0.302319i
\(297\) −17.6210 + 2.65593i −1.02247 + 0.154113i
\(298\) 0.00241084 0.0321704i 0.000139656 0.00186358i
\(299\) 1.02028 2.59962i 0.0590041 0.150340i
\(300\) 1.14625 1.43735i 0.0661785 0.0829853i
\(301\) 1.98131 + 9.50347i 0.114201 + 0.547771i
\(302\) −11.6483 14.6064i −0.670282 0.840506i
\(303\) 4.35799 1.34426i 0.250360 0.0772259i
\(304\) 0.961930 + 2.45096i 0.0551705 + 0.140572i
\(305\) −7.61140 2.34781i −0.435828 0.134435i
\(306\) −1.62509 21.6853i −0.0929001 1.23967i
\(307\) 1.99247 + 8.72957i 0.113716 + 0.498223i 0.999423 + 0.0339773i \(0.0108174\pi\)
−0.885706 + 0.464246i \(0.846325\pi\)
\(308\) 7.41789 + 13.4268i 0.422674 + 0.765060i
\(309\) −1.86098 + 8.15349i −0.105867 + 0.463836i
\(310\) −4.88122 0.735725i −0.277234 0.0417864i
\(311\) −6.57608 + 4.48349i −0.372895 + 0.254236i −0.735238 0.677809i \(-0.762929\pi\)
0.362343 + 0.932045i \(0.381977\pi\)
\(312\) −0.569684 + 0.986721i −0.0322520 + 0.0558621i
\(313\) −1.99065 3.44790i −0.112518 0.194887i 0.804267 0.594268i \(-0.202558\pi\)
−0.916785 + 0.399381i \(0.869225\pi\)
\(314\) −18.1072 8.71995i −1.02185 0.492095i
\(315\) −6.49965 6.26301i −0.366214 0.352880i
\(316\) 4.31912 2.07998i 0.242969 0.117008i
\(317\) −2.62705 1.79109i −0.147550 0.100598i 0.487295 0.873237i \(-0.337984\pi\)
−0.634845 + 0.772640i \(0.718936\pi\)
\(318\) 1.99636 + 1.85235i 0.111950 + 0.103875i
\(319\) −0.901854 0.836798i −0.0504941 0.0468517i
\(320\) 1.04002 + 0.709074i 0.0581390 + 0.0396385i
\(321\) −7.33923 + 3.53438i −0.409636 + 0.197270i
\(322\) −1.80196 + 2.98942i −0.100419 + 0.166594i
\(323\) 19.0336 + 9.16611i 1.05906 + 0.510016i
\(324\) −3.23825 5.60881i −0.179903 0.311601i
\(325\) 3.61503 6.26141i 0.200526 0.347321i
\(326\) 4.89802 3.33942i 0.271276 0.184953i
\(327\) −5.44651 0.820930i −0.301193 0.0453975i
\(328\) −1.49227 + 6.53807i −0.0823970 + 0.361005i
\(329\) 1.27381 + 22.7475i 0.0702275 + 1.25411i
\(330\) −0.874093 3.82965i −0.0481172 0.210815i
\(331\) −1.21590 16.2250i −0.0668318 0.891808i −0.925372 0.379061i \(-0.876247\pi\)
0.858540 0.512747i \(-0.171372\pi\)
\(332\) 8.98425 + 2.77127i 0.493075 + 0.152093i
\(333\) 7.57190 + 19.2929i 0.414938 + 1.05724i
\(334\) 19.2506 5.93803i 1.05335 0.324915i
\(335\) −1.31686 1.65129i −0.0719479 0.0902198i
\(336\) 0.908739 1.09645i 0.0495758 0.0598161i
\(337\) 0.854059 1.07096i 0.0465236 0.0583387i −0.758025 0.652225i \(-0.773836\pi\)
0.804549 + 0.593886i \(0.202407\pi\)
\(338\) 3.11241 7.93029i 0.169293 0.431351i
\(339\) −0.318168 + 4.24566i −0.0172805 + 0.230592i
\(340\) 9.98677 1.50526i 0.541609 0.0816344i
\(341\) 16.6674 15.4651i 0.902592 0.837483i
\(342\) 7.13608 0.385875
\(343\) 16.2051 + 8.96640i 0.874990 + 0.484140i
\(344\) −3.66921 −0.197830
\(345\) 0.655236 0.607970i 0.0352767 0.0327320i
\(346\) −7.30320 + 1.10078i −0.392623 + 0.0591783i
\(347\) −0.712827 + 9.51201i −0.0382665 + 0.510632i 0.944832 + 0.327555i \(0.106225\pi\)
−0.983099 + 0.183077i \(0.941394\pi\)
\(348\) −0.0417273 + 0.106320i −0.00223682 + 0.00569933i
\(349\) −14.8186 + 18.5819i −0.793219 + 0.994666i 0.206649 + 0.978415i \(0.433744\pi\)
−0.999868 + 0.0162504i \(0.994827\pi\)
\(350\) −5.76656 + 6.95770i −0.308236 + 0.371905i
\(351\) 4.05650 + 5.08668i 0.216520 + 0.271507i
\(352\) −5.54024 + 1.70894i −0.295296 + 0.0910867i
\(353\) −0.773842 1.97172i −0.0411875 0.104944i 0.908800 0.417232i \(-0.137000\pi\)
−0.949987 + 0.312288i \(0.898905\pi\)
\(354\) 6.38026 + 1.96805i 0.339107 + 0.104601i
\(355\) 0.180741 + 2.41183i 0.00959275 + 0.128006i
\(356\) −0.755379 3.30953i −0.0400350 0.175405i
\(357\) −0.638840 11.4083i −0.0338110 0.603791i
\(358\) −1.44484 + 6.33024i −0.0763620 + 0.334564i
\(359\) −28.8189 4.34375i −1.52100 0.229254i −0.665243 0.746627i \(-0.731672\pi\)
−0.855760 + 0.517373i \(0.826910\pi\)
\(360\) 2.81875 1.92179i 0.148561 0.101287i
\(361\) 6.03375 10.4508i 0.317566 0.550040i
\(362\) 9.87253 + 17.0997i 0.518888 + 0.898741i
\(363\) 10.9670 + 5.28141i 0.575616 + 0.277202i
\(364\) 2.89123 4.79651i 0.151541 0.251405i
\(365\) 0.0152065 0.00732306i 0.000795945 0.000383307i
\(366\) −2.81420 1.91869i −0.147101 0.100292i
\(367\) 1.93296 + 1.79352i 0.100899 + 0.0936210i 0.729010 0.684503i \(-0.239981\pi\)
−0.628110 + 0.778124i \(0.716171\pi\)
\(368\) −0.967109 0.897346i −0.0504140 0.0467774i
\(369\) 15.0175 + 10.2388i 0.781780 + 0.533009i
\(370\) −8.67237 + 4.17639i −0.450855 + 0.217120i
\(371\) −9.63956 9.28860i −0.500461 0.482240i
\(372\) −1.90180 0.915858i −0.0986037 0.0474850i
\(373\) −13.4130 23.2320i −0.694500 1.20291i −0.970349 0.241708i \(-0.922292\pi\)
0.275849 0.961201i \(-0.411041\pi\)
\(374\) −23.2595 + 40.2867i −1.20272 + 2.08318i
\(375\) 4.71098 3.21189i 0.243274 0.165861i
\(376\) −8.51504 1.28344i −0.439129 0.0661881i
\(377\) −0.0999508 + 0.437913i −0.00514773 + 0.0225537i
\(378\) −3.93241 7.11786i −0.202262 0.366103i
\(379\) −0.459992 2.01536i −0.0236282 0.103522i 0.961739 0.273968i \(-0.0883363\pi\)
−0.985367 + 0.170446i \(0.945479\pi\)
\(380\) 0.247672 + 3.30495i 0.0127053 + 0.169541i
\(381\) −6.11424 1.88599i −0.313242 0.0966224i
\(382\) −2.49244 6.35063i −0.127524 0.324926i
\(383\) 7.44209 2.29558i 0.380273 0.117299i −0.0987247 0.995115i \(-0.531476\pi\)
0.478998 + 0.877816i \(0.341000\pi\)
\(384\) 0.335594 + 0.420822i 0.0171257 + 0.0214750i
\(385\) 3.94078 + 18.9022i 0.200841 + 0.963343i
\(386\) −9.29629 + 11.6572i −0.473169 + 0.593335i
\(387\) −3.63317 + 9.25717i −0.184684 + 0.470568i
\(388\) −0.580382 + 7.74465i −0.0294644 + 0.393175i
\(389\) −21.5092 + 3.24198i −1.09056 + 0.164375i −0.669612 0.742711i \(-0.733540\pi\)
−0.420945 + 0.907086i \(0.638302\pi\)
\(390\) −1.05132 + 0.975483i −0.0532357 + 0.0493955i
\(391\) −10.5854 −0.535327
\(392\) −4.56771 + 5.30434i −0.230704 + 0.267909i
\(393\) 3.55087 0.179118
\(394\) 12.4890 11.5881i 0.629185 0.583799i
\(395\) 5.96684 0.899356i 0.300224 0.0452515i
\(396\) −1.17429 + 15.6698i −0.0590103 + 0.787437i
\(397\) 0.855791 2.18052i 0.0429509 0.109437i −0.907789 0.419428i \(-0.862231\pi\)
0.950740 + 0.309991i \(0.100326\pi\)
\(398\) 6.73322 8.44319i 0.337506 0.423219i
\(399\) 3.74889 + 0.0707139i 0.187679 + 0.00354012i
\(400\) −2.12957 2.67040i −0.106479 0.133520i
\(401\) −26.1849 + 8.07698i −1.30761 + 0.403345i −0.868769 0.495218i \(-0.835088\pi\)
−0.438844 + 0.898563i \(0.644612\pi\)
\(402\) −0.329958 0.840719i −0.0164568 0.0419312i
\(403\) −7.93253 2.44686i −0.395147 0.121887i
\(404\) −0.633188 8.44931i −0.0315023 0.420369i
\(405\) −1.81404 7.94785i −0.0901406 0.394932i
\(406\) 0.214928 0.518648i 0.0106667 0.0257400i
\(407\) 9.86568 43.2244i 0.489023 2.14255i
\(408\) 4.27045 + 0.643667i 0.211419 + 0.0318663i
\(409\) −2.34543 + 1.59909i −0.115974 + 0.0790697i −0.619918 0.784667i \(-0.712834\pi\)
0.503944 + 0.863736i \(0.331882\pi\)
\(410\) −4.22070 + 7.31046i −0.208445 + 0.361038i
\(411\) 3.44161 + 5.96104i 0.169762 + 0.294037i
\(412\) 13.9989 + 6.74154i 0.689679 + 0.332132i
\(413\) −31.1738 10.2636i −1.53396 0.505038i
\(414\) −3.22155 + 1.55142i −0.158331 + 0.0762481i
\(415\) 9.77823 + 6.66668i 0.479994 + 0.327255i
\(416\) 1.55172 + 1.43978i 0.0760793 + 0.0705913i
\(417\) 3.72445 + 3.45578i 0.182387 + 0.169230i
\(418\) −12.6129 8.59933i −0.616917 0.420607i
\(419\) 5.99424 2.88668i 0.292838 0.141023i −0.281697 0.959503i \(-0.590897\pi\)
0.574535 + 0.818480i \(0.305183\pi\)
\(420\) 1.49985 0.981667i 0.0731854 0.0479005i
\(421\) 24.5144 + 11.8055i 1.19476 + 0.575367i 0.922178 0.386766i \(-0.126408\pi\)
0.272583 + 0.962132i \(0.412122\pi\)
\(422\) 2.60011 + 4.50352i 0.126571 + 0.219228i
\(423\) −11.6694 + 20.2120i −0.567387 + 0.982743i
\(424\) 4.18047 2.85019i 0.203021 0.138418i
\(425\) −27.0989 4.08450i −1.31449 0.198127i
\(426\) −0.230134 + 1.00828i −0.0111501 + 0.0488516i
\(427\) 13.6527 + 9.69044i 0.660703 + 0.468953i
\(428\) 3.36764 + 14.7546i 0.162781 + 0.713191i
\(429\) −0.493655 6.58737i −0.0238339 0.318041i
\(430\) −4.41339 1.36135i −0.212833 0.0656502i
\(431\) 7.97128 + 20.3105i 0.383963 + 0.978322i 0.983971 + 0.178328i \(0.0570689\pi\)
−0.600008 + 0.799994i \(0.704836\pi\)
\(432\) 2.93702 0.905951i 0.141307 0.0435876i
\(433\) −23.3424 29.2704i −1.12176 1.40665i −0.902345 0.431014i \(-0.858156\pi\)
−0.219417 0.975631i \(-0.570416\pi\)
\(434\) 9.26164 + 4.67736i 0.444573 + 0.224520i
\(435\) −0.0896372 + 0.112401i −0.00429777 + 0.00538924i
\(436\) −3.73861 + 9.52581i −0.179047 + 0.456204i
\(437\) 0.259586 3.46393i 0.0124177 0.165702i
\(438\) 0.00713658 0.00107567i 0.000340999 5.13973e-5i
\(439\) 5.93824 5.50988i 0.283417 0.262972i −0.525634 0.850711i \(-0.676172\pi\)
0.809051 + 0.587738i \(0.199982\pi\)
\(440\) −7.29796 −0.347916
\(441\) 8.85964 + 16.7763i 0.421887 + 0.798870i
\(442\) 16.9842 0.807856
\(443\) 5.65163 5.24395i 0.268517 0.249147i −0.534409 0.845226i \(-0.679466\pi\)
0.802926 + 0.596079i \(0.203275\pi\)
\(444\) −4.07004 + 0.613460i −0.193156 + 0.0291135i
\(445\) 0.319320 4.26103i 0.0151372 0.201992i
\(446\) −6.96888 + 17.7564i −0.329986 + 0.840790i
\(447\) 0.0108265 0.0135760i 0.000512075 0.000642122i
\(448\) −1.61029 2.09927i −0.0760793 0.0991814i
\(449\) 7.02792 + 8.81273i 0.331668 + 0.415898i 0.919503 0.393082i \(-0.128591\pi\)
−0.587835 + 0.808980i \(0.700020\pi\)
\(450\) −8.84590 + 2.72860i −0.417000 + 0.128627i
\(451\) −14.2050 36.1937i −0.668886 1.70429i
\(452\) 7.55856 + 2.33151i 0.355525 + 0.109665i
\(453\) −0.751471 10.0277i −0.0353072 0.471142i
\(454\) −1.19005 5.21393i −0.0558516 0.244702i
\(455\) 5.25723 4.69663i 0.246463 0.220181i
\(456\) −0.315356 + 1.38167i −0.0147679 + 0.0647024i
\(457\) 36.4537 + 5.49451i 1.70523 + 0.257022i 0.928104 0.372321i \(-0.121438\pi\)
0.777128 + 0.629343i \(0.216676\pi\)
\(458\) 22.8625 15.5874i 1.06829 0.728350i
\(459\) 12.3305 21.3570i 0.575537 0.996860i
\(460\) −0.830324 1.43816i −0.0387140 0.0670547i
\(461\) 1.36523 + 0.657462i 0.0635853 + 0.0306211i 0.465406 0.885097i \(-0.345908\pi\)
−0.401821 + 0.915718i \(0.631623\pi\)
\(462\) −0.772181 + 8.22037i −0.0359251 + 0.382446i
\(463\) −2.32835 + 1.12127i −0.108208 + 0.0521100i −0.487205 0.873288i \(-0.661983\pi\)
0.378997 + 0.925398i \(0.376269\pi\)
\(464\) 0.175324 + 0.119534i 0.00813923 + 0.00554924i
\(465\) −1.94772 1.80722i −0.0903233 0.0838078i
\(466\) −12.6036 11.6944i −0.583850 0.541734i
\(467\) −0.175721 0.119805i −0.00813141 0.00554390i 0.559248 0.829001i \(-0.311090\pi\)
−0.567379 + 0.823457i \(0.692043\pi\)
\(468\) 5.16896 2.48924i 0.238935 0.115065i
\(469\) 1.54367 + 4.16237i 0.0712800 + 0.192200i
\(470\) −9.76587 4.70300i −0.450466 0.216933i
\(471\) −5.40874 9.36821i −0.249221 0.431664i
\(472\) 6.20239 10.7429i 0.285488 0.494480i
\(473\) 17.5769 11.9837i 0.808187 0.551013i
\(474\) 2.55148 + 0.384574i 0.117194 + 0.0176641i
\(475\) 2.00115 8.76760i 0.0918189 0.402285i
\(476\) −20.9278 3.55923i −0.959225 0.163137i
\(477\) −3.05144 13.3692i −0.139716 0.612135i
\(478\) 0.113026 + 1.50822i 0.00516967 + 0.0689844i
\(479\) 12.3735 + 3.81671i 0.565358 + 0.174390i 0.564242 0.825610i \(-0.309169\pi\)
0.00111603 + 0.999999i \(0.499645\pi\)
\(480\) 0.247526 + 0.630685i 0.0112980 + 0.0287867i
\(481\) −15.4680 + 4.77124i −0.705279 + 0.217550i
\(482\) 10.8667 + 13.6264i 0.494964 + 0.620666i
\(483\) −1.70779 + 0.783102i −0.0777072 + 0.0356324i
\(484\) 14.1000 17.6809i 0.640911 0.803677i
\(485\) −3.57152 + 9.10009i −0.162174 + 0.413214i
\(486\) 0.949573 12.6712i 0.0430735 0.574776i
\(487\) 11.4577 1.72697i 0.519197 0.0782564i 0.115784 0.993274i \(-0.463062\pi\)
0.403413 + 0.915018i \(0.367824\pi\)
\(488\) −4.63873 + 4.30411i −0.209985 + 0.194838i
\(489\) 3.19081 0.144293
\(490\) −7.46215 + 4.68544i −0.337106 + 0.211667i
\(491\) −28.5953 −1.29049 −0.645245 0.763976i \(-0.723245\pi\)
−0.645245 + 0.763976i \(0.723245\pi\)
\(492\) −2.64605 + 2.45517i −0.119293 + 0.110688i
\(493\) 1.68355 0.253754i 0.0758232 0.0114285i
\(494\) −0.416504 + 5.55786i −0.0187394 + 0.250060i
\(495\) −7.22628 + 18.4123i −0.324797 + 0.827569i
\(496\) −2.44511 + 3.06607i −0.109789 + 0.137671i
\(497\) 1.22448 4.93396i 0.0549256 0.221318i
\(498\) 3.15524 + 3.95655i 0.141390 + 0.177297i
\(499\) 26.1204 8.05708i 1.16931 0.360684i 0.351509 0.936185i \(-0.385669\pi\)
0.817802 + 0.575500i \(0.195193\pi\)
\(500\) −3.87007 9.86077i −0.173075 0.440987i
\(501\) 10.3617 + 3.19616i 0.462926 + 0.142794i
\(502\) −0.827386 11.0407i −0.0369280 0.492771i
\(503\) 8.05847 + 35.3065i 0.359310 + 1.57424i 0.754918 + 0.655819i \(0.227677\pi\)
−0.395609 + 0.918419i \(0.629466\pi\)
\(504\) −6.89081 + 1.98401i −0.306941 + 0.0883748i
\(505\) 2.37326 10.3979i 0.105609 0.462701i
\(506\) 7.56358 + 1.14003i 0.336242 + 0.0506803i
\(507\) 3.78869 2.58309i 0.168262 0.114719i
\(508\) −5.94379 + 10.2950i −0.263713 + 0.456765i
\(509\) −13.7595 23.8321i −0.609878 1.05634i −0.991260 0.131922i \(-0.957885\pi\)
0.381382 0.924418i \(-0.375448\pi\)
\(510\) 4.89777 + 2.35864i 0.216877 + 0.104442i
\(511\) −0.0351730 + 0.00462487i −0.00155596 + 0.000204592i
\(512\) 0.900969 0.433884i 0.0398176 0.0191751i
\(513\) 6.68642 + 4.55872i 0.295213 + 0.201273i
\(514\) 7.65614 + 7.10386i 0.337698 + 0.313338i
\(515\) 14.3370 + 13.3027i 0.631762 + 0.586189i
\(516\) −1.63179 1.11253i −0.0718354 0.0489765i
\(517\) 44.9820 21.6622i 1.97831 0.952702i
\(518\) 20.0594 2.63760i 0.881360 0.115889i
\(519\) −3.58168 1.72485i −0.157218 0.0757123i
\(520\) 1.33225 + 2.30752i 0.0584229 + 0.101191i
\(521\) 3.60290 6.24041i 0.157846 0.273397i −0.776246 0.630430i \(-0.782878\pi\)
0.934092 + 0.357033i \(0.116212\pi\)
\(522\) 0.475179 0.323972i 0.0207980 0.0141799i
\(523\) 26.0640 + 3.92851i 1.13970 + 0.171782i 0.691653 0.722230i \(-0.256883\pi\)
0.448044 + 0.894011i \(0.352121\pi\)
\(524\) 1.46798 6.43164i 0.0641290 0.280968i
\(525\) −4.67416 + 1.34579i −0.203997 + 0.0587351i
\(526\) −3.39929 14.8933i −0.148216 0.649377i
\(527\) 2.35143 + 31.3776i 0.102430 + 1.36683i
\(528\) −2.98204 0.919838i −0.129777 0.0400308i
\(529\) −7.76696 19.7899i −0.337694 0.860430i
\(530\) 6.08583 1.87723i 0.264351 0.0815416i
\(531\) −20.9620 26.2856i −0.909675 1.14070i
\(532\) 1.67793 6.76107i 0.0727473 0.293130i
\(533\) −8.85085 + 11.0986i −0.383373 + 0.480735i
\(534\) 0.667541 1.70087i 0.0288873 0.0736037i
\(535\) −1.42360 + 18.9966i −0.0615475 + 0.821294i
\(536\) −1.65919 + 0.250083i −0.0716662 + 0.0108019i
\(537\) −2.56193 + 2.37713i −0.110556 + 0.102581i
\(538\) −9.55288 −0.411854
\(539\) 4.55699 40.3281i 0.196283 1.73705i
\(540\) 3.86883 0.166488
\(541\) −23.5474 + 21.8488i −1.01238 + 0.939354i −0.998165 0.0605448i \(-0.980716\pi\)
−0.0142175 + 0.999899i \(0.504526\pi\)
\(542\) −18.9376 + 2.85438i −0.813439 + 0.122606i
\(543\) −0.794217 + 10.5981i −0.0340831 + 0.454808i
\(544\) 2.93133 7.46891i 0.125680 0.320227i
\(545\) −8.03114 + 10.0707i −0.344016 + 0.431383i
\(546\) 2.74014 1.25648i 0.117267 0.0537724i
\(547\) −7.03522 8.82189i −0.300804 0.377197i 0.608341 0.793676i \(-0.291835\pi\)
−0.909145 + 0.416479i \(0.863264\pi\)
\(548\) 12.2200 3.76936i 0.522011 0.161019i
\(549\) 6.26582 + 15.9650i 0.267418 + 0.681371i
\(550\) 18.9231 + 5.83699i 0.806882 + 0.248890i
\(551\) 0.0417520 + 0.557142i 0.00177870 + 0.0237350i
\(552\) −0.158015 0.692307i −0.00672554 0.0294665i
\(553\) −12.5038 2.12655i −0.531716 0.0904300i
\(554\) −1.09954 + 4.81740i −0.0467150 + 0.204672i
\(555\) −5.12313 0.772188i −0.217465 0.0327775i
\(556\) 7.79915 5.31737i 0.330758 0.225507i
\(557\) −16.3256 + 28.2768i −0.691739 + 1.19813i 0.279529 + 0.960137i \(0.409822\pi\)
−0.971268 + 0.237990i \(0.923512\pi\)
\(558\) 5.31440 + 9.20481i 0.224977 + 0.389671i
\(559\) −6.99778 3.36995i −0.295975 0.142534i
\(560\) −1.15802 3.12250i −0.0489353 0.131950i
\(561\) −22.5593 + 10.8640i −0.952456 + 0.458679i
\(562\) −5.41994 3.69525i −0.228627 0.155875i
\(563\) 22.6438 + 21.0104i 0.954323 + 0.885482i 0.993509 0.113750i \(-0.0362862\pi\)
−0.0391866 + 0.999232i \(0.512477\pi\)
\(564\) −3.39770 3.15260i −0.143069 0.132748i
\(565\) 8.22655 + 5.60877i 0.346094 + 0.235963i
\(566\) −0.0840590 + 0.0404807i −0.00353326 + 0.00170153i
\(567\) −1.60254 + 17.0601i −0.0673005 + 0.716457i
\(568\) 1.73115 + 0.833679i 0.0726375 + 0.0349804i
\(569\) 15.8946 + 27.5302i 0.666335 + 1.15413i 0.978921 + 0.204237i \(0.0654714\pi\)
−0.312586 + 0.949889i \(0.601195\pi\)
\(570\) −0.891943 + 1.54489i −0.0373594 + 0.0647083i
\(571\) −27.8813 + 19.0091i −1.16680 + 0.795508i −0.982298 0.187325i \(-0.940018\pi\)
−0.184498 + 0.982833i \(0.559066\pi\)
\(572\) −12.1357 1.82916i −0.507419 0.0764812i
\(573\) 0.817113 3.58001i 0.0341354 0.149557i
\(574\) 13.2318 11.8208i 0.552285 0.493393i
\(575\) 1.00271 + 4.39315i 0.0418158 + 0.183207i
\(576\) −0.202540 2.70271i −0.00843916 0.112613i
\(577\) −31.8083 9.81155i −1.32419 0.408460i −0.449563 0.893248i \(-0.648420\pi\)
−0.874631 + 0.484788i \(0.838897\pi\)
\(578\) −17.3089 44.1023i −0.719955 1.83441i
\(579\) −7.66884 + 2.36552i −0.318706 + 0.0983078i
\(580\) 0.166534 + 0.208827i 0.00691495 + 0.00867107i
\(581\) −15.1399 19.7373i −0.628109 0.818840i
\(582\) −2.60635 + 3.26826i −0.108037 + 0.135474i
\(583\) −10.7172 + 27.3070i −0.443862 + 1.13094i
\(584\) 0.00100202 0.0133711i 4.14641e−5 0.000553300i
\(585\) 7.14088 1.07632i 0.295239 0.0445002i
\(586\) −20.8347 + 19.3318i −0.860673 + 0.798587i
\(587\) 39.3166 1.62277 0.811385 0.584512i \(-0.198714\pi\)
0.811385 + 0.584512i \(0.198714\pi\)
\(588\) −3.63969 + 0.974001i −0.150098 + 0.0401671i
\(589\) −10.3256 −0.425458
\(590\) 11.4462 10.6205i 0.471232 0.437239i
\(591\) 9.06775 1.36674i 0.372997 0.0562203i
\(592\) −0.571461 + 7.62562i −0.0234869 + 0.313411i
\(593\) 2.86551 7.30121i 0.117673 0.299825i −0.859887 0.510485i \(-0.829466\pi\)
0.977559 + 0.210660i \(0.0675613\pi\)
\(594\) −11.1106 + 13.9322i −0.455873 + 0.571647i
\(595\) −23.8518 12.0458i −0.977830 0.493828i
\(596\) −0.0201142 0.0252224i −0.000823908 0.00103315i
\(597\) 5.55447 1.71333i 0.227329 0.0701218i
\(598\) −1.02028 2.59962i −0.0417222 0.106306i
\(599\) −33.8929 10.4546i −1.38482 0.427162i −0.489277 0.872128i \(-0.662739\pi\)
−0.895547 + 0.444966i \(0.853216\pi\)
\(600\) −0.137386 1.83330i −0.00560878 0.0748440i
\(601\) 0.667468 + 2.92437i 0.0272266 + 0.119287i 0.986715 0.162460i \(-0.0519430\pi\)
−0.959488 + 0.281748i \(0.909086\pi\)
\(602\) 7.91641 + 5.61890i 0.322649 + 0.229009i
\(603\) −1.01195 + 4.43366i −0.0412099 + 0.180552i
\(604\) −18.4737 2.78446i −0.751683 0.113298i
\(605\) 23.5198 16.0355i 0.956215 0.651936i
\(606\) 2.28030 3.94960i 0.0926310 0.160442i
\(607\) −2.47279 4.28299i −0.100367 0.173841i 0.811469 0.584396i \(-0.198668\pi\)
−0.911836 + 0.410555i \(0.865335\pi\)
\(608\) 2.37222 + 1.14240i 0.0962062 + 0.0463305i
\(609\) 0.252842 0.165487i 0.0102457 0.00670588i
\(610\) −7.17647 + 3.45600i −0.290567 + 0.139929i
\(611\) −15.0608 10.2683i −0.609295 0.415411i
\(612\) −15.9410 14.7911i −0.644378 0.597895i
\(613\) 1.40571 + 1.30430i 0.0567759 + 0.0526804i 0.708050 0.706162i \(-0.249575\pi\)
−0.651275 + 0.758842i \(0.725765\pi\)
\(614\) 7.39820 + 5.04401i 0.298567 + 0.203560i
\(615\) −4.09364 + 1.97139i −0.165071 + 0.0794942i
\(616\) 14.5702 + 4.79706i 0.587051 + 0.193279i
\(617\) 0.000881429 0 0.000424474i 3.54850e−5 0 1.70887e-5i 0.433901 0.900960i \(-0.357137\pi\)
−0.433866 + 0.900977i \(0.642851\pi\)
\(618\) 4.18159 + 7.24272i 0.168208 + 0.291345i
\(619\) 16.5619 28.6860i 0.665678 1.15299i −0.313423 0.949614i \(-0.601476\pi\)
0.979101 0.203374i \(-0.0651909\pi\)
\(620\) −4.07860 + 2.78075i −0.163801 + 0.111677i
\(621\) −4.00964 0.604357i −0.160902 0.0242520i
\(622\) −1.77106 + 7.75950i −0.0710128 + 0.311128i
\(623\) −3.43836 + 8.29717i −0.137755 + 0.332419i
\(624\) 0.253533 + 1.11080i 0.0101494 + 0.0444676i
\(625\) 0.279786 + 3.73349i 0.0111915 + 0.149340i
\(626\) −3.80441 1.17351i −0.152055 0.0469027i
\(627\) −3.00188 7.64867i −0.119884 0.305458i
\(628\) −19.2046 + 5.92382i −0.766345 + 0.236386i
\(629\) 38.2549 + 47.9702i 1.52532 + 1.91270i
\(630\) −9.02450 0.170226i −0.359545 0.00678196i
\(631\) −28.5556 + 35.8076i −1.13678 + 1.42548i −0.247044 + 0.969004i \(0.579459\pi\)
−0.889737 + 0.456474i \(0.849112\pi\)
\(632\) 1.75139 4.46248i 0.0696667 0.177508i
\(633\) −0.209171 + 2.79120i −0.00831382 + 0.110940i
\(634\) −3.14402 + 0.473885i −0.124865 + 0.0188204i
\(635\) −10.9689 + 10.1777i −0.435289 + 0.403890i
\(636\) 2.72336 0.107988
\(637\) −13.5831 + 5.92106i −0.538182 + 0.234601i
\(638\) −1.23027 −0.0487070
\(639\) 3.81746 3.54209i 0.151017 0.140123i
\(640\) 1.24468 0.187606i 0.0492004 0.00741577i
\(641\) 2.81529 37.5675i 0.111197 1.48383i −0.610720 0.791847i \(-0.709120\pi\)
0.721917 0.691979i \(-0.243261\pi\)
\(642\) −2.97604 + 7.58283i −0.117455 + 0.299270i
\(643\) −1.49348 + 1.87277i −0.0588971 + 0.0738547i −0.810407 0.585867i \(-0.800754\pi\)
0.751510 + 0.659721i \(0.229326\pi\)
\(644\) 0.712397 + 3.41705i 0.0280724 + 0.134650i
\(645\) −1.54997 1.94360i −0.0610301 0.0765293i
\(646\) 20.1872 6.22691i 0.794253 0.244995i
\(647\) −8.60623 21.9283i −0.338346 0.862091i −0.994234 0.107233i \(-0.965801\pi\)
0.655888 0.754858i \(-0.272294\pi\)
\(648\) −6.18877 1.90898i −0.243118 0.0749919i
\(649\) 5.37464 + 71.7196i 0.210973 + 2.81524i
\(650\) −1.60884 7.04878i −0.0631038 0.276476i
\(651\) 2.70067 + 4.88834i 0.105847 + 0.191589i
\(652\) 1.31913 5.77947i 0.0516609 0.226341i
\(653\) 0.782592 + 0.117957i 0.0306252 + 0.00461601i 0.164337 0.986404i \(-0.447452\pi\)
−0.133712 + 0.991020i \(0.542690\pi\)
\(654\) −4.55095 + 3.10279i −0.177956 + 0.121329i
\(655\) 4.15199 7.19145i 0.162232 0.280993i
\(656\) 3.35311 + 5.80775i 0.130917 + 0.226755i
\(657\) −0.0327422 0.0157678i −0.00127739 0.000615161i
\(658\) 16.4060 + 15.8087i 0.639572 + 0.616287i
\(659\) −12.9955 + 6.25828i −0.506231 + 0.243788i −0.669525 0.742789i \(-0.733502\pi\)
0.163294 + 0.986577i \(0.447788\pi\)
\(660\) −3.24558 2.21280i −0.126334 0.0861331i
\(661\) 29.2447 + 27.1351i 1.13749 + 1.05543i 0.997870 + 0.0652286i \(0.0207777\pi\)
0.139617 + 0.990206i \(0.455413\pi\)
\(662\) −11.9271 11.0668i −0.463561 0.430122i
\(663\) 7.55329 + 5.14974i 0.293345 + 0.199999i
\(664\) 8.47086 4.07935i 0.328733 0.158310i
\(665\) 4.52674 7.50980i 0.175539 0.291218i
\(666\) 18.6731 + 8.99249i 0.723568 + 0.348452i
\(667\) −0.139974 0.242442i −0.00541982 0.00938740i
\(668\) 10.0728 17.4466i 0.389729 0.675031i
\(669\) −8.48311 + 5.78369i −0.327976 + 0.223610i
\(670\) −2.08849 0.314790i −0.0806856 0.0121614i
\(671\) 8.16394 35.7685i 0.315165 1.38083i
\(672\) −0.0796207 1.42185i −0.00307143 0.0548492i
\(673\) −3.65318 16.0056i −0.140820 0.616971i −0.995246 0.0973977i \(-0.968948\pi\)
0.854426 0.519573i \(-0.173909\pi\)
\(674\) −0.102366 1.36597i −0.00394298 0.0526153i
\(675\) −10.0316 3.09434i −0.386116 0.119101i
\(676\) −3.11241 7.93029i −0.119708 0.305011i
\(677\) 0.261999 0.0808160i 0.0100694 0.00310601i −0.289716 0.957113i \(-0.593561\pi\)
0.299786 + 0.954007i \(0.403085\pi\)
\(678\) 2.65455 + 3.32870i 0.101947 + 0.127838i
\(679\) 13.1121 15.8205i 0.503196 0.607136i
\(680\) 6.29698 7.89617i 0.241478 0.302804i
\(681\) 1.05166 2.67959i 0.0402998 0.102682i
\(682\) 1.69914 22.6735i 0.0650635 0.868212i
\(683\) −12.9981 + 1.95914i −0.497357 + 0.0749646i −0.392931 0.919568i \(-0.628539\pi\)
−0.104427 + 0.994533i \(0.533301\pi\)
\(684\) 5.23112 4.85377i 0.200017 0.185589i
\(685\) 16.0969 0.615032
\(686\) 17.9778 4.44940i 0.686397 0.169879i
\(687\) 14.8937 0.568231
\(688\) −2.68972 + 2.49570i −0.102545 + 0.0951475i
\(689\) 10.5906 1.59627i 0.403469 0.0608131i
\(690\) 0.0667972 0.891347i 0.00254293 0.0339330i
\(691\) 9.82197 25.0260i 0.373645 0.952032i −0.613136 0.789977i \(-0.710092\pi\)
0.986782 0.162055i \(-0.0518123\pi\)
\(692\) −4.60491 + 5.77437i −0.175052 + 0.219509i
\(693\) 26.5298 32.0097i 1.00778 1.21595i
\(694\) 5.94727 + 7.45764i 0.225755 + 0.283088i
\(695\) 11.3538 3.50219i 0.430675 0.132846i
\(696\) 0.0417273 + 0.106320i 0.00158167 + 0.00403003i
\(697\) 51.4171 + 15.8601i 1.94756 + 0.600743i
\(698\) 1.77612 + 23.7007i 0.0672271 + 0.897084i
\(699\) −2.05928 9.02231i −0.0778892 0.341255i
\(700\) 0.505247 + 9.02261i 0.0190965 + 0.341023i
\(701\) −0.0135589 + 0.0594053i −0.000512111 + 0.00224371i −0.975183 0.221399i \(-0.928938\pi\)
0.974671 + 0.223643i \(0.0717949\pi\)
\(702\) 6.43345 + 0.969686i 0.242815 + 0.0365984i
\(703\) −16.6357 + 11.3421i −0.627429 + 0.427774i
\(704\) −2.89891 + 5.02106i −0.109257 + 0.189238i
\(705\) −2.91714 5.05263i −0.109866 0.190293i
\(706\) −1.90837 0.919025i −0.0718226 0.0345880i
\(707\) −11.5729 + 19.1992i −0.435242 + 0.722062i
\(708\) 6.01567 2.89700i 0.226083 0.108876i
\(709\) −12.2651 8.36222i −0.460627 0.314050i 0.310679 0.950515i \(-0.399444\pi\)
−0.771306 + 0.636465i \(0.780396\pi\)
\(710\) 1.77295 + 1.64506i 0.0665377 + 0.0617379i
\(711\) −9.52434 8.83730i −0.357191 0.331425i
\(712\) −2.80479 1.91227i −0.105114 0.0716654i
\(713\) 4.66144 2.24483i 0.174572 0.0840696i
\(714\) −8.22792 7.92836i −0.307922 0.296711i
\(715\) −13.9184 6.70275i −0.520519 0.250669i
\(716\) 3.24652 + 5.62314i 0.121328 + 0.210146i
\(717\) −0.407039 + 0.705013i −0.0152012 + 0.0263292i
\(718\) −24.0802 + 16.4176i −0.898667 + 0.612701i
\(719\) −1.75064 0.263866i −0.0652878 0.00984056i 0.116317 0.993212i \(-0.462891\pi\)
−0.181605 + 0.983372i \(0.558129\pi\)
\(720\) 0.759141 3.32601i 0.0282915 0.123953i
\(721\) −19.8793 35.9826i −0.740345 1.34006i
\(722\) −2.68527 11.7649i −0.0999354 0.437846i
\(723\) 0.701050 + 9.35486i 0.0260723 + 0.347911i
\(724\) 18.8678 + 5.81996i 0.701217 + 0.216297i
\(725\) −0.264788 0.674669i −0.00983398 0.0250566i
\(726\) 11.6316 3.58788i 0.431690 0.133159i
\(727\) −4.07292 5.10728i −0.151056 0.189418i 0.700546 0.713607i \(-0.252940\pi\)
−0.851602 + 0.524189i \(0.824369\pi\)
\(728\) −1.14304 5.48262i −0.0423637 0.203200i
\(729\) −7.84980 + 9.84334i −0.290733 + 0.364568i
\(730\) 0.00616620 0.0157112i 0.000228221 0.000581499i
\(731\) −2.20006 + 29.3577i −0.0813721 + 1.08584i
\(732\) −3.36800 + 0.507644i −0.124485 + 0.0187631i
\(733\) 15.0267 13.9428i 0.555026 0.514988i −0.352036 0.935986i \(-0.614511\pi\)
0.907062 + 0.420998i \(0.138320\pi\)
\(734\) 2.63686 0.0973283
\(735\) −4.73927 0.178854i −0.174810 0.00659712i
\(736\) −1.31929 −0.0486297
\(737\) 7.13139 6.61696i 0.262688 0.243739i
\(738\) 17.9727 2.70895i 0.661586 0.0997180i
\(739\) 2.28923 30.5477i 0.0842108 1.12371i −0.781746 0.623597i \(-0.785671\pi\)
0.865957 0.500118i \(-0.166710\pi\)
\(740\) −3.51663 + 8.96022i −0.129274 + 0.329384i
\(741\) −1.87042 + 2.34543i −0.0687114 + 0.0861614i
\(742\) −13.3842 0.252460i −0.491348 0.00926812i
\(743\) −7.12890 8.93936i −0.261534 0.327953i 0.633675 0.773599i \(-0.281546\pi\)
−0.895209 + 0.445646i \(0.852974\pi\)
\(744\) −2.01706 + 0.622180i −0.0739490 + 0.0228102i
\(745\) −0.0148357 0.0378007i −0.000543537 0.00138491i
\(746\) −25.6342 7.90711i −0.938536 0.289500i
\(747\) −1.90427 25.4107i −0.0696736 0.929729i
\(748\) 10.3515 + 45.3528i 0.378487 + 1.65826i
\(749\) 15.3289 36.9905i 0.560107 1.35160i
\(750\) 1.26875 5.55876i 0.0463282 0.202977i
\(751\) 0.380245 + 0.0573126i 0.0138753 + 0.00209137i 0.155976 0.987761i \(-0.450148\pi\)
−0.142101 + 0.989852i \(0.545386\pi\)
\(752\) −7.11492 + 4.85087i −0.259454 + 0.176893i
\(753\) 2.97967 5.16094i 0.108585 0.188075i
\(754\) 0.224587 + 0.388997i 0.00817899 + 0.0141664i
\(755\) −21.1874 10.2033i −0.771089 0.371337i
\(756\) −7.72404 2.54304i −0.280921 0.0924896i
\(757\) 9.19718 4.42913i 0.334277 0.160979i −0.259214 0.965820i \(-0.583463\pi\)
0.593491 + 0.804841i \(0.297749\pi\)
\(758\) −1.70799 1.16449i −0.0620370 0.0422961i
\(759\) 3.01804 + 2.80033i 0.109548 + 0.101646i
\(760\) 2.42950 + 2.25424i 0.0881271 + 0.0817700i
\(761\) 32.5759 + 22.2099i 1.18088 + 0.805108i 0.984494 0.175419i \(-0.0561281\pi\)
0.196383 + 0.980527i \(0.437080\pi\)
\(762\) −5.76486 + 2.77621i −0.208839 + 0.100571i
\(763\) 22.6536 14.8270i 0.820117 0.536774i
\(764\) −6.14661 2.96005i −0.222377 0.107091i
\(765\) −13.6864 23.7055i −0.494832 0.857073i
\(766\) 3.89405 6.74469i 0.140698 0.243696i
\(767\) 21.6957 14.7919i 0.783385 0.534103i
\(768\) 0.532240 + 0.0802223i 0.0192056 + 0.00289477i
\(769\) 2.91218 12.7591i 0.105016 0.460105i −0.894889 0.446289i \(-0.852745\pi\)
0.999905 0.0138152i \(-0.00439765\pi\)
\(770\) 15.7455 + 11.1758i 0.567429 + 0.402750i
\(771\) 1.25092 + 5.48066i 0.0450510 + 0.197381i
\(772\) 1.11423 + 14.8684i 0.0401021 + 0.535125i
\(773\) 41.8364 + 12.9048i 1.50475 + 0.464154i 0.934092 0.357033i \(-0.116212\pi\)
0.570659 + 0.821187i \(0.306688\pi\)
\(774\) 3.63317 + 9.25717i 0.130592 + 0.332742i
\(775\) 12.7996 3.94815i 0.459775 0.141822i
\(776\) 4.84225 + 6.07199i 0.173827 + 0.217972i
\(777\) 9.72065 + 4.90917i 0.348726 + 0.176115i
\(778\) −13.5622 + 17.0065i −0.486229 + 0.609712i
\(779\) −6.45091 + 16.4366i −0.231128 + 0.588904i
\(780\) −0.107176 + 1.43016i −0.00383750 + 0.0512079i
\(781\) −11.0157 + 1.66035i −0.394173 + 0.0594120i
\(782\) −7.75965 + 7.19990i −0.277484 + 0.257468i
\(783\) 0.652199 0.0233077
\(784\) 0.259494 + 6.99519i 0.00926763 + 0.249828i
\(785\) −25.2975 −0.902906
\(786\) 2.60297 2.41520i 0.0928449 0.0861475i
\(787\) −10.8983 + 1.64265i −0.388481 + 0.0585542i −0.340379 0.940288i \(-0.610555\pi\)
−0.0481023 + 0.998842i \(0.515317\pi\)
\(788\) 1.27317 16.9893i 0.0453549 0.605219i
\(789\) 3.00401 7.65409i 0.106946 0.272493i
\(790\) 3.76228 4.71775i 0.133856 0.167850i
\(791\) −12.7374 16.6052i −0.452890 0.590414i
\(792\) 9.79736 + 12.2855i 0.348134 + 0.436546i
\(793\) −12.7999 + 3.94824i −0.454538 + 0.140206i
\(794\) −0.855791 2.18052i −0.0303709 0.0773837i
\(795\) 3.27571 + 1.01042i 0.116177 + 0.0358360i
\(796\) −0.807029 10.7691i −0.0286044 0.381699i
\(797\) −5.94304 26.0382i −0.210513 0.922319i −0.964219 0.265107i \(-0.914593\pi\)
0.753706 0.657212i \(-0.228264\pi\)
\(798\) 2.79623 2.49805i 0.0989853 0.0884301i
\(799\) −15.3745 + 67.3602i −0.543912 + 2.38303i
\(800\) −3.37742 0.509064i −0.119410 0.0179981i
\(801\) −7.60177 + 5.18280i −0.268595 + 0.183125i
\(802\) −13.7012 + 23.7311i −0.483805 + 0.837975i
\(803\) 0.0388703 + 0.0673253i 0.00137170 + 0.00237586i
\(804\) −0.813710 0.391862i −0.0286973 0.0138199i
\(805\) −0.410910 + 4.37440i −0.0144827 + 0.154177i
\(806\) −7.47924 + 3.60181i −0.263445 + 0.126868i
\(807\) −4.24840 2.89651i −0.149551 0.101962i
\(808\) −6.21115 5.76310i −0.218507 0.202745i
\(809\) −19.7453 18.3210i −0.694208 0.644131i 0.251986 0.967731i \(-0.418916\pi\)
−0.946194 + 0.323600i \(0.895107\pi\)
\(810\) −6.73570 4.59232i −0.236668 0.161358i
\(811\) −43.4695 + 20.9338i −1.52642 + 0.735085i −0.993791 0.111264i \(-0.964510\pi\)
−0.532629 + 0.846349i \(0.678796\pi\)
\(812\) −0.195216 0.526384i −0.00685075 0.0184725i
\(813\) −9.28747 4.47261i −0.325726 0.156861i
\(814\) −22.1680 38.3961i −0.776987 1.34578i
\(815\) 3.73097 6.46223i 0.130690 0.226362i
\(816\) 3.56827 2.43280i 0.124914 0.0851652i
\(817\) −9.55299 1.43988i −0.334217 0.0503751i
\(818\) −0.631666 + 2.76751i −0.0220857 + 0.0967637i
\(819\) −14.9641 2.54497i −0.522888 0.0889286i
\(820\) 1.87839 + 8.22975i 0.0655961 + 0.287395i
\(821\) 1.76506 + 23.5531i 0.0616010 + 0.822008i 0.939366 + 0.342916i \(0.111415\pi\)
−0.877765 + 0.479091i \(0.840966\pi\)
\(822\) 6.57742 + 2.02886i 0.229414 + 0.0707648i
\(823\) 16.7546 + 42.6899i 0.584027 + 1.48808i 0.851417 + 0.524489i \(0.175744\pi\)
−0.267390 + 0.963588i \(0.586161\pi\)
\(824\) 14.8474 4.57980i 0.517232 0.159545i
\(825\) 6.64573 + 8.33348i 0.231375 + 0.290134i
\(826\) −29.8331 + 13.6798i −1.03802 + 0.475983i
\(827\) 24.9152 31.2427i 0.866387 1.08641i −0.129111 0.991630i \(-0.541212\pi\)
0.995498 0.0947845i \(-0.0302162\pi\)
\(828\) −1.30633 + 3.32848i −0.0453982 + 0.115673i
\(829\) −0.0732625 + 0.977620i −0.00254451 + 0.0339541i −0.998332 0.0577422i \(-0.981610\pi\)
0.995787 + 0.0916963i \(0.0292289\pi\)
\(830\) 11.7024 1.76386i 0.406198 0.0612244i
\(831\) −1.94967 + 1.80903i −0.0676332 + 0.0627544i
\(832\) 2.11679 0.0733866
\(833\) 39.7018 + 39.7273i 1.37559 + 1.37647i
\(834\) 5.08074 0.175932
\(835\) 18.5889 17.2479i 0.643294 0.596889i
\(836\) −15.0949 + 2.27520i −0.522070 + 0.0786893i
\(837\) −0.900758 + 12.0198i −0.0311348 + 0.415464i
\(838\) 2.43065 6.19321i 0.0839655 0.213941i
\(839\) −12.3430 + 15.4777i −0.426128 + 0.534348i −0.947828 0.318781i \(-0.896727\pi\)
0.521700 + 0.853129i \(0.325298\pi\)
\(840\) 0.431767 1.73977i 0.0148974 0.0600279i
\(841\) −18.0531 22.6379i −0.622522 0.780618i
\(842\) 26.0002 8.01999i 0.896025 0.276387i
\(843\) −1.28995 3.28674i −0.0444283 0.113201i
\(844\) 4.96919 + 1.53279i 0.171046 + 0.0527608i
\(845\) −0.801365 10.6935i −0.0275678 0.367867i
\(846\) 5.19338 + 22.7537i 0.178552 + 0.782288i
\(847\) −57.4971 + 16.5546i −1.97562 + 0.568824i
\(848\) 1.12587 4.93278i 0.0386627 0.169392i
\(849\) −0.0496571 0.00748461i −0.00170423 0.000256871i
\(850\) −22.6431 + 15.4378i −0.776651 + 0.529511i
\(851\) 5.04431 8.73701i 0.172917 0.299501i
\(852\) 0.517107 + 0.895656i 0.0177158 + 0.0306847i
\(853\) −17.8523 8.59722i −0.611251 0.294363i 0.102532 0.994730i \(-0.467306\pi\)
−0.713783 + 0.700367i \(0.753020\pi\)
\(854\) 16.5993 2.18264i 0.568018 0.0746883i
\(855\) 8.09294 3.89735i 0.276773 0.133287i
\(856\) 12.5043 + 8.52531i 0.427389 + 0.291389i
\(857\) −11.8336 10.9800i −0.404228 0.375069i 0.451695 0.892173i \(-0.350820\pi\)
−0.855923 + 0.517104i \(0.827010\pi\)
\(858\) −4.84243 4.49312i −0.165318 0.153392i
\(859\) −3.05596 2.08352i −0.104268 0.0710888i 0.510063 0.860137i \(-0.329622\pi\)
−0.614332 + 0.789048i \(0.710574\pi\)
\(860\) −4.16120 + 2.00393i −0.141896 + 0.0683334i
\(861\) 9.46868 1.24503i 0.322692 0.0424305i
\(862\) 19.6580 + 9.46680i 0.669555 + 0.322440i
\(863\) −13.8882 24.0550i −0.472759 0.818843i 0.526755 0.850017i \(-0.323409\pi\)
−0.999514 + 0.0311744i \(0.990075\pi\)
\(864\) 1.53679 2.66179i 0.0522825 0.0905559i
\(865\) −7.68128 + 5.23701i −0.261171 + 0.178064i
\(866\) −37.0201 5.57988i −1.25799 0.189612i
\(867\) 5.67449 24.8616i 0.192716 0.844343i
\(868\) 9.97067 2.87077i 0.338427 0.0974403i
\(869\) 6.18473 + 27.0971i 0.209803 + 0.919206i
\(870\) 0.0107437 + 0.143365i 0.000364246 + 0.00486053i
\(871\) −3.39404 1.04692i −0.115003 0.0354736i
\(872\) 3.73861 + 9.52581i 0.126605 + 0.322585i
\(873\) 20.1139 6.20432i 0.680753 0.209985i
\(874\) −2.16578 2.71581i −0.0732587 0.0918635i
\(875\) −6.75069 + 27.2014i −0.228215 + 0.919574i
\(876\) 0.00449985 0.00564263i 0.000152036 0.000190647i
\(877\) −18.2217 + 46.4280i −0.615302 + 1.56776i 0.194400 + 0.980922i \(0.437724\pi\)
−0.809702 + 0.586841i \(0.800371\pi\)
\(878\) 0.605367 8.07806i 0.0204301 0.272621i
\(879\) −15.1272 + 2.28006i −0.510229 + 0.0769046i
\(880\) −5.34978 + 4.96387i −0.180341 + 0.167332i
\(881\) 7.77055 0.261797 0.130898 0.991396i \(-0.458214\pi\)
0.130898 + 0.991396i \(0.458214\pi\)
\(882\) 17.9053 + 6.27180i 0.602904 + 0.211182i
\(883\) 34.7830 1.17054 0.585271 0.810838i \(-0.300988\pi\)
0.585271 + 0.810838i \(0.300988\pi\)
\(884\) 12.4503 11.5522i 0.418749 0.388542i
\(885\) 8.31061 1.25262i 0.279358 0.0421065i
\(886\) 0.576149 7.68817i 0.0193561 0.258289i
\(887\) −5.65347 + 14.4048i −0.189825 + 0.483666i −0.993824 0.110964i \(-0.964606\pi\)
0.804000 + 0.594630i \(0.202701\pi\)
\(888\) −2.56629 + 3.21803i −0.0861191 + 0.107990i
\(889\) 28.5892 13.1095i 0.958852 0.439678i
\(890\) −2.66416 3.34075i −0.0893028 0.111982i
\(891\) 35.8814 11.0679i 1.20207 0.370790i
\(892\) 6.96888 + 17.7564i 0.233335 + 0.594528i
\(893\) −21.6657 6.68299i −0.725016 0.223638i
\(894\) −0.00129764 0.0173158i −4.33995e−5 0.000579126i
\(895\) 1.81868 + 7.96814i 0.0607916 + 0.266346i
\(896\) −2.60830 0.443598i −0.0871371 0.0148196i
\(897\) 0.334484 1.46547i 0.0111681 0.0489306i
\(898\) 11.1460 + 1.67999i 0.371947 + 0.0560620i
\(899\) −0.687562 + 0.468772i −0.0229315 + 0.0156344i
\(900\) −4.62858 + 8.01694i −0.154286 + 0.267231i
\(901\) −20.2981 35.1574i −0.676228 1.17126i
\(902\) −35.0309 16.8700i −1.16640 0.561710i
\(903\) 1.81692 + 4.89918i 0.0604635 + 0.163035i
\(904\) 7.12665 3.43201i 0.237029 0.114147i
\(905\) 20.5353 + 14.0007i 0.682616 + 0.465399i
\(906\) −7.37143 6.83968i −0.244899 0.227233i
\(907\) 28.0399 + 26.0172i 0.931049 + 0.863887i 0.990938 0.134318i \(-0.0428844\pi\)
−0.0598897 + 0.998205i \(0.519075\pi\)
\(908\) −4.41874 3.01265i −0.146641 0.0999782i
\(909\) −20.6901 + 9.96381i −0.686246 + 0.330479i
\(910\) 0.659302 7.01870i 0.0218556 0.232667i
\(911\) 7.93065 + 3.81920i 0.262754 + 0.126536i 0.560623 0.828071i \(-0.310562\pi\)
−0.297869 + 0.954607i \(0.596276\pi\)
\(912\) 0.708599 + 1.22733i 0.0234640 + 0.0406409i
\(913\) −27.2554 + 47.2077i −0.902022 + 1.56235i
\(914\) 30.4597 20.7670i 1.00752 0.686913i
\(915\) −4.23944 0.638992i −0.140151 0.0211244i
\(916\) 6.15728 26.9768i 0.203442 0.891338i
\(917\) −13.0164 + 11.6284i −0.429840 + 0.384004i
\(918\) −5.48758 24.0426i −0.181117 0.793525i
\(919\) 1.57030 + 20.9542i 0.0517994 + 0.691215i 0.961299 + 0.275509i \(0.0888463\pi\)
−0.909499 + 0.415706i \(0.863535\pi\)
\(920\) −1.58687 0.489484i −0.0523175 0.0161378i
\(921\) 1.76078 + 4.48639i 0.0580196 + 0.147831i
\(922\) 1.44798 0.446641i 0.0476865 0.0147093i
\(923\) 2.53591 + 3.17993i 0.0834704 + 0.104669i
\(924\) 5.02522 + 6.55117i 0.165318 + 0.215518i
\(925\) 16.2849 20.4206i 0.535443 0.671424i
\(926\) −0.944141 + 2.40563i −0.0310264 + 0.0790540i
\(927\) 3.14699 41.9937i 0.103361 1.37926i
\(928\) 0.209826 0.0316262i 0.00688787 0.00103818i
\(929\) −26.3088 + 24.4110i −0.863164 + 0.800899i −0.981378 0.192089i \(-0.938474\pi\)
0.118213 + 0.992988i \(0.462283\pi\)
\(930\) −2.65700 −0.0871264
\(931\) −13.9738 + 12.0177i −0.457974 + 0.393863i
\(932\) −17.1933 −0.563186
\(933\) −3.14037 + 2.91384i −0.102811 + 0.0953949i
\(934\) −0.210301 + 0.0316977i −0.00688125 + 0.00103718i
\(935\) −4.37586 + 58.3918i −0.143106 + 1.90962i
\(936\) 2.09600 5.34053i 0.0685100 0.174561i
\(937\) 11.4477 14.3550i 0.373980 0.468956i −0.558852 0.829267i \(-0.688758\pi\)
0.932832 + 0.360311i \(0.117329\pi\)
\(938\) 3.96272 + 2.00127i 0.129387 + 0.0653438i
\(939\) −1.33610 1.67542i −0.0436019 0.0546751i
\(940\) −10.3577 + 3.19494i −0.337832 + 0.104207i
\(941\) 5.71121 + 14.5519i 0.186180 + 0.474379i 0.993238 0.116093i \(-0.0370369\pi\)
−0.807058 + 0.590472i \(0.798942\pi\)
\(942\) −10.3369 3.18851i −0.336794 0.103887i
\(943\) −0.661171 8.82271i −0.0215307 0.287307i
\(944\) −2.76032 12.0938i −0.0898409 0.393619i
\(945\) −8.34710 5.92460i −0.271531 0.192727i
\(946\) 4.73378 20.7400i 0.153908 0.674317i
\(947\) −30.0112 4.52346i −0.975233 0.146993i −0.357956 0.933738i \(-0.616526\pi\)
−0.617277 + 0.786746i \(0.711764\pi\)
\(948\) 2.13195 1.45354i 0.0692424 0.0472087i
\(949\) 0.0141916 0.0245806i 0.000460679 0.000797919i
\(950\) −4.49654 7.78823i −0.145887 0.252684i
\(951\) −1.54191 0.742544i −0.0499998 0.0240786i
\(952\) −17.7621 + 11.6254i −0.575672 + 0.376782i
\(953\) −3.29398 + 1.58630i −0.106702 + 0.0513852i −0.486474 0.873695i \(-0.661717\pi\)
0.379771 + 0.925080i \(0.376003\pi\)
\(954\) −11.3303 7.72484i −0.366831 0.250101i
\(955\) −6.29502 5.84093i −0.203702 0.189008i
\(956\) 1.10870 + 1.02873i 0.0358581 + 0.0332714i
\(957\) −0.547132 0.373029i −0.0176863 0.0120583i
\(958\) 11.6664 5.61825i 0.376925 0.181517i
\(959\) −32.1372 10.5808i −1.03776 0.341670i
\(960\) 0.610424 + 0.293965i 0.0197014 + 0.00948767i
\(961\) 7.81031 + 13.5279i 0.251945 + 0.436382i
\(962\) −8.09356 + 14.0185i −0.260947 + 0.451973i
\(963\) 33.8903 23.1060i 1.09210 0.744581i
\(964\) 17.2342 + 2.59763i 0.555075 + 0.0836641i
\(965\) −4.17626 + 18.2974i −0.134439 + 0.589014i
\(966\) −0.719255 + 1.73565i −0.0231417 + 0.0558436i
\(967\) −5.29017 23.1777i −0.170120 0.745346i −0.985948 0.167051i \(-0.946575\pi\)
0.815828 0.578295i \(-0.196282\pi\)
\(968\) −1.69000 22.5515i −0.0543186 0.724832i
\(969\) 10.8658 + 3.35165i 0.349059 + 0.107670i
\(970\) 3.57152 + 9.10009i 0.114675 + 0.292186i
\(971\) 37.6408 11.6106i 1.20795 0.372603i 0.375562 0.926797i \(-0.377450\pi\)
0.832387 + 0.554194i \(0.186973\pi\)
\(972\) −7.92250 9.93450i −0.254114 0.318649i
\(973\) −24.9697 0.470995i −0.800492 0.0150994i
\(974\) 7.22444 9.05916i 0.231486 0.290274i
\(975\) 1.42176 3.62258i 0.0455327 0.116015i
\(976\) −0.472890 + 6.31027i −0.0151368 + 0.201987i
\(977\) 52.3766 7.89451i 1.67568 0.252568i 0.758680 0.651463i \(-0.225844\pi\)
0.916996 + 0.398895i \(0.130606\pi\)
\(978\) 2.33903 2.17030i 0.0747939 0.0693986i
\(979\) 19.6815 0.629024
\(980\) −2.28324 + 8.51023i −0.0729353 + 0.271849i
\(981\) 27.7349 0.885506
\(982\) −20.9619 + 19.4498i −0.668920 + 0.620667i
\(983\) −49.7486 + 7.49839i −1.58673 + 0.239161i −0.882327 0.470637i \(-0.844024\pi\)
−0.704405 + 0.709798i \(0.748786\pi\)
\(984\) −0.269748 + 3.59954i −0.00859925 + 0.114749i
\(985\) 7.83478 19.9627i 0.249637 0.636065i
\(986\) 1.06153 1.33112i 0.0338060 0.0423914i
\(987\) 2.50283 + 12.0049i 0.0796659 + 0.382121i
\(988\) 3.47498 + 4.35749i 0.110554 + 0.138630i
\(989\) 4.62569 1.42684i 0.147088 0.0453708i
\(990\) 7.22628 + 18.4123i 0.229666 + 0.585180i
\(991\) 15.0814 + 4.65199i 0.479075 + 0.147775i 0.524882 0.851175i \(-0.324110\pi\)
−0.0458063 + 0.998950i \(0.514586\pi\)
\(992\) 0.293066 + 3.91069i 0.00930484 + 0.124165i
\(993\) −1.94876 8.53807i −0.0618420 0.270947i
\(994\) −2.45834 4.44971i −0.0779737 0.141136i
\(995\) 3.02483 13.2526i 0.0958936 0.420137i
\(996\) 5.00409 + 0.754245i 0.158561 + 0.0238992i
\(997\) −0.862522 + 0.588058i −0.0273164 + 0.0186240i −0.576901 0.816814i \(-0.695738\pi\)
0.549585 + 0.835438i \(0.314786\pi\)
\(998\) 13.6674 23.6727i 0.432634 0.749345i
\(999\) 11.7518 + 20.3547i 0.371811 + 0.643995i
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 98.2.g.a.11.1 yes 24
3.2 odd 2 882.2.z.d.109.1 24
4.3 odd 2 784.2.bg.a.305.2 24
7.2 even 3 686.2.g.a.471.2 24
7.3 odd 6 686.2.e.e.589.2 24
7.4 even 3 686.2.e.f.589.3 24
7.5 odd 6 686.2.g.c.471.1 24
7.6 odd 2 686.2.g.b.655.2 24
49.3 odd 42 4802.2.a.k.1.6 12
49.9 even 21 inner 98.2.g.a.9.1 24
49.15 even 7 686.2.g.a.67.2 24
49.24 odd 42 686.2.e.e.99.2 24
49.25 even 21 686.2.e.f.99.3 24
49.34 odd 14 686.2.g.c.67.1 24
49.40 odd 42 686.2.g.b.177.2 24
49.46 even 21 4802.2.a.i.1.7 12
147.107 odd 42 882.2.z.d.793.1 24
196.107 odd 42 784.2.bg.a.401.2 24
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
98.2.g.a.9.1 24 49.9 even 21 inner
98.2.g.a.11.1 yes 24 1.1 even 1 trivial
686.2.e.e.99.2 24 49.24 odd 42
686.2.e.e.589.2 24 7.3 odd 6
686.2.e.f.99.3 24 49.25 even 21
686.2.e.f.589.3 24 7.4 even 3
686.2.g.a.67.2 24 49.15 even 7
686.2.g.a.471.2 24 7.2 even 3
686.2.g.b.177.2 24 49.40 odd 42
686.2.g.b.655.2 24 7.6 odd 2
686.2.g.c.67.1 24 49.34 odd 14
686.2.g.c.471.1 24 7.5 odd 6
784.2.bg.a.305.2 24 4.3 odd 2
784.2.bg.a.401.2 24 196.107 odd 42
882.2.z.d.109.1 24 3.2 odd 2
882.2.z.d.793.1 24 147.107 odd 42
4802.2.a.i.1.7 12 49.46 even 21
4802.2.a.k.1.6 12 49.3 odd 42