Properties

Label 841.2.e.j.63.1
Level $841$
Weight $2$
Character 841.63
Analytic conductor $6.715$
Analytic rank $0$
Dimension $24$
Inner twists $12$

Related objects

Downloads

Learn more

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [841,2,Mod(63,841)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(841, base_ring=CyclotomicField(14))
 
chi = DirichletCharacter(H, H._module([11]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("841.63");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 841 = 29^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 841.e (of order \(14\), degree \(6\), not 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: \(6.71541880999\)
Analytic rank: \(0\)
Dimension: \(24\)
Relative dimension: \(4\) over \(\Q(\zeta_{14})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{14}]$

Embedding invariants

Embedding label 63.1
Character \(\chi\) \(=\) 841.63
Dual form 841.2.e.j.267.1

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-1.26503 + 1.00883i) q^{2} +(-1.57747 + 0.360046i) q^{3} +(0.137526 - 0.602539i) q^{4} +(1.77950 + 2.23143i) q^{5} +(1.63232 - 2.04686i) q^{6} +(-0.497572 - 2.18001i) q^{7} +(-0.970194 - 2.01463i) q^{8} +(-0.344139 + 0.165729i) q^{9} +O(q^{10})\) \(q+(-1.26503 + 1.00883i) q^{2} +(-1.57747 + 0.360046i) q^{3} +(0.137526 - 0.602539i) q^{4} +(1.77950 + 2.23143i) q^{5} +(1.63232 - 2.04686i) q^{6} +(-0.497572 - 2.18001i) q^{7} +(-0.970194 - 2.01463i) q^{8} +(-0.344139 + 0.165729i) q^{9} +(-4.50225 - 1.02761i) q^{10} +(1.56981 - 3.25974i) q^{11} +1.00000i q^{12} +(3.81657 + 1.83796i) q^{13} +(2.82869 + 2.25581i) q^{14} +(-3.61052 - 2.87930i) q^{15} +(4.37339 + 2.10612i) q^{16} +6.61803i q^{17} +(0.268155 - 0.556829i) q^{18} +(1.80762 + 0.412577i) q^{19} +(1.58925 - 0.765341i) q^{20} +(1.56981 + 3.25974i) q^{21} +(1.30266 + 5.70733i) q^{22} +(2.01766 - 2.53006i) q^{23} +(2.25581 + 2.82869i) q^{24} +(-0.700028 + 3.06702i) q^{25} +(-6.68226 + 1.52518i) q^{26} +(4.27829 - 3.41182i) q^{27} -1.38197 q^{28} +7.47214 q^{30} +(0.852329 - 0.679710i) q^{31} +(-3.29717 + 0.752558i) q^{32} +(-1.30266 + 5.70733i) q^{33} +(-6.67646 - 8.37201i) q^{34} +(3.97909 - 4.98962i) q^{35} +(0.0525301 + 0.230149i) q^{36} +(3.77835 + 7.84582i) q^{37} +(-2.70291 + 1.30165i) q^{38} +(-6.68226 - 1.52518i) q^{39} +(2.76903 - 5.74995i) q^{40} -2.85410i q^{41} +(-5.27436 - 2.54000i) q^{42} +(2.16093 + 1.72328i) q^{43} +(-1.74823 - 1.39417i) q^{44} +(-0.982209 - 0.473007i) q^{45} +5.23607i q^{46} +(-3.03719 + 6.30678i) q^{47} +(-7.65718 - 1.74770i) q^{48} +(1.80194 - 0.867767i) q^{49} +(-2.20854 - 4.58608i) q^{50} +(-2.38280 - 10.4397i) q^{51} +(1.63232 - 2.04686i) q^{52} +(-1.24698 - 1.56366i) q^{53} +(-1.97022 + 8.63211i) q^{54} +(10.0673 - 2.29780i) q^{55} +(-3.90916 + 3.11745i) q^{56} -3.00000 q^{57} -5.09017 q^{59} +(-2.23143 + 1.77950i) q^{60} +(-1.57747 + 0.360046i) q^{61} +(-0.392512 + 1.71971i) q^{62} +(0.532524 + 0.667764i) q^{63} +(-2.64115 + 3.31189i) q^{64} +(2.69032 + 11.7870i) q^{65} +(-4.10981 - 8.53410i) q^{66} +(-9.43507 + 4.54369i) q^{67} +(3.98762 + 0.910148i) q^{68} +(-2.27184 + 4.71753i) q^{69} +10.3262i q^{70} +(1.37656 + 0.662915i) q^{71} +(0.667764 + 0.532524i) q^{72} +(-0.228135 - 0.181932i) q^{73} +(-12.6948 - 6.11350i) q^{74} -5.09017i q^{75} +(0.497187 - 1.03242i) q^{76} +(-7.88733 - 1.80023i) q^{77} +(9.99190 - 4.81184i) q^{78} +(2.20854 + 4.58608i) q^{79} +(3.08283 + 13.5068i) q^{80} +(-4.80599 + 6.02652i) q^{81} +(2.87930 + 3.61052i) q^{82} +(-1.76777 + 7.74509i) q^{83} +(2.18001 - 0.497572i) q^{84} +(-14.7677 + 11.7768i) q^{85} -4.47214 q^{86} -8.09017 q^{88} +(-6.80835 + 5.42948i) q^{89} +(1.71971 - 0.392512i) q^{90} +(2.10775 - 9.23465i) q^{91} +(-1.24698 - 1.56366i) q^{92} +(-1.09979 + 1.37910i) q^{93} +(-2.52033 - 11.0423i) q^{94} +(2.29602 + 4.76774i) q^{95} +(4.93022 - 2.37427i) q^{96} +(16.1471 + 3.68546i) q^{97} +(-1.40408 + 2.91560i) q^{98} +1.38197i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 24 q - 2 q^{4} + 2 q^{5} - 6 q^{6} - 6 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 24 q - 2 q^{4} + 2 q^{5} - 6 q^{6} - 6 q^{9} + 8 q^{13} + 6 q^{16} + 16 q^{20} + 10 q^{22} - 4 q^{23} - 10 q^{24} - 26 q^{25} - 60 q^{28} + 72 q^{30} - 10 q^{33} + 16 q^{34} - 30 q^{35} - 8 q^{36} - 12 q^{38} - 10 q^{42} + 18 q^{45} + 8 q^{49} - 16 q^{51} - 6 q^{52} + 8 q^{53} - 22 q^{54} - 72 q^{57} + 12 q^{59} - 16 q^{62} + 10 q^{63} + 8 q^{64} + 26 q^{65} - 24 q^{67} + 24 q^{71} - 34 q^{74} + 22 q^{78} + 42 q^{80} + 4 q^{81} - 14 q^{82} + 4 q^{83} - 60 q^{88} + 20 q^{91} + 8 q^{92} + 16 q^{93} - 14 q^{94} + 4 q^{96}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/841\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{11}{14}\right)\)

Coefficient data

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



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.26503 + 1.00883i −0.894511 + 0.713349i −0.958649 0.284592i \(-0.908142\pi\)
0.0641375 + 0.997941i \(0.479570\pi\)
\(3\) −1.57747 + 0.360046i −0.910751 + 0.207873i −0.652131 0.758106i \(-0.726125\pi\)
−0.258620 + 0.965979i \(0.583268\pi\)
\(4\) 0.137526 0.602539i 0.0687628 0.301269i
\(5\) 1.77950 + 2.23143i 0.795818 + 0.997924i 0.999820 + 0.0189540i \(0.00603359\pi\)
−0.204002 + 0.978970i \(0.565395\pi\)
\(6\) 1.63232 2.04686i 0.666391 0.835628i
\(7\) −0.497572 2.18001i −0.188065 0.823964i −0.977636 0.210306i \(-0.932554\pi\)
0.789571 0.613659i \(-0.210303\pi\)
\(8\) −0.970194 2.01463i −0.343015 0.712278i
\(9\) −0.344139 + 0.165729i −0.114713 + 0.0552429i
\(10\) −4.50225 1.02761i −1.42374 0.324959i
\(11\) 1.56981 3.25974i 0.473314 0.982847i −0.518490 0.855084i \(-0.673506\pi\)
0.991805 0.127764i \(-0.0407800\pi\)
\(12\) 1.00000i 0.288675i
\(13\) 3.81657 + 1.83796i 1.05852 + 0.509759i 0.880391 0.474248i \(-0.157280\pi\)
0.178133 + 0.984006i \(0.442994\pi\)
\(14\) 2.82869 + 2.25581i 0.756000 + 0.602890i
\(15\) −3.61052 2.87930i −0.932233 0.743431i
\(16\) 4.37339 + 2.10612i 1.09335 + 0.526529i
\(17\) 6.61803i 1.60511i 0.596579 + 0.802555i \(0.296526\pi\)
−0.596579 + 0.802555i \(0.703474\pi\)
\(18\) 0.268155 0.556829i 0.0632047 0.131246i
\(19\) 1.80762 + 0.412577i 0.414695 + 0.0946515i 0.424778 0.905298i \(-0.360352\pi\)
−0.0100823 + 0.999949i \(0.503209\pi\)
\(20\) 1.58925 0.765341i 0.355367 0.171136i
\(21\) 1.56981 + 3.25974i 0.342560 + 0.711333i
\(22\) 1.30266 + 5.70733i 0.277728 + 1.21681i
\(23\) 2.01766 2.53006i 0.420710 0.527554i −0.525635 0.850710i \(-0.676172\pi\)
0.946346 + 0.323156i \(0.104744\pi\)
\(24\) 2.25581 + 2.82869i 0.460465 + 0.577405i
\(25\) −0.700028 + 3.06702i −0.140006 + 0.613405i
\(26\) −6.68226 + 1.52518i −1.31050 + 0.299113i
\(27\) 4.27829 3.41182i 0.823357 0.656605i
\(28\) −1.38197 −0.261167
\(29\) 0 0
\(30\) 7.47214 1.36422
\(31\) 0.852329 0.679710i 0.153083 0.122079i −0.543953 0.839115i \(-0.683073\pi\)
0.697036 + 0.717036i \(0.254502\pi\)
\(32\) −3.29717 + 0.752558i −0.582863 + 0.133035i
\(33\) −1.30266 + 5.70733i −0.226764 + 0.993518i
\(34\) −6.67646 8.37201i −1.14500 1.43579i
\(35\) 3.97909 4.98962i 0.672589 0.843400i
\(36\) 0.0525301 + 0.230149i 0.00875501 + 0.0383582i
\(37\) 3.77835 + 7.84582i 0.621157 + 1.28984i 0.939720 + 0.341944i \(0.111085\pi\)
−0.318564 + 0.947901i \(0.603201\pi\)
\(38\) −2.70291 + 1.30165i −0.438469 + 0.211156i
\(39\) −6.68226 1.52518i −1.07002 0.244224i
\(40\) 2.76903 5.74995i 0.437822 0.909147i
\(41\) 2.85410i 0.445736i −0.974849 0.222868i \(-0.928458\pi\)
0.974849 0.222868i \(-0.0715419\pi\)
\(42\) −5.27436 2.54000i −0.813852 0.391930i
\(43\) 2.16093 + 1.72328i 0.329539 + 0.262798i 0.774256 0.632873i \(-0.218124\pi\)
−0.444717 + 0.895671i \(0.646696\pi\)
\(44\) −1.74823 1.39417i −0.263555 0.210178i
\(45\) −0.982209 0.473007i −0.146419 0.0705117i
\(46\) 5.23607i 0.772016i
\(47\) −3.03719 + 6.30678i −0.443019 + 0.919939i 0.553199 + 0.833049i \(0.313407\pi\)
−0.996218 + 0.0868895i \(0.972307\pi\)
\(48\) −7.65718 1.74770i −1.10522 0.252259i
\(49\) 1.80194 0.867767i 0.257420 0.123967i
\(50\) −2.20854 4.58608i −0.312335 0.648570i
\(51\) −2.38280 10.4397i −0.333659 1.46185i
\(52\) 1.63232 2.04686i 0.226362 0.283849i
\(53\) −1.24698 1.56366i −0.171286 0.214786i 0.688778 0.724973i \(-0.258148\pi\)
−0.860064 + 0.510187i \(0.829576\pi\)
\(54\) −1.97022 + 8.63211i −0.268113 + 1.17468i
\(55\) 10.0673 2.29780i 1.35748 0.309836i
\(56\) −3.90916 + 3.11745i −0.522383 + 0.416587i
\(57\) −3.00000 −0.397360
\(58\) 0 0
\(59\) −5.09017 −0.662684 −0.331342 0.943511i \(-0.607501\pi\)
−0.331342 + 0.943511i \(0.607501\pi\)
\(60\) −2.23143 + 1.77950i −0.288076 + 0.229733i
\(61\) −1.57747 + 0.360046i −0.201974 + 0.0460992i −0.322311 0.946634i \(-0.604460\pi\)
0.120337 + 0.992733i \(0.461602\pi\)
\(62\) −0.392512 + 1.71971i −0.0498490 + 0.218403i
\(63\) 0.532524 + 0.667764i 0.0670917 + 0.0841303i
\(64\) −2.64115 + 3.31189i −0.330143 + 0.413986i
\(65\) 2.69032 + 11.7870i 0.333693 + 1.46200i
\(66\) −4.10981 8.53410i −0.505882 1.05048i
\(67\) −9.43507 + 4.54369i −1.15268 + 0.555100i −0.909837 0.414966i \(-0.863793\pi\)
−0.242840 + 0.970066i \(0.578079\pi\)
\(68\) 3.98762 + 0.910148i 0.483570 + 0.110372i
\(69\) −2.27184 + 4.71753i −0.273498 + 0.567924i
\(70\) 10.3262i 1.23422i
\(71\) 1.37656 + 0.662915i 0.163367 + 0.0786736i 0.513781 0.857922i \(-0.328245\pi\)
−0.350413 + 0.936595i \(0.613959\pi\)
\(72\) 0.667764 + 0.532524i 0.0786967 + 0.0627585i
\(73\) −0.228135 0.181932i −0.0267012 0.0212935i 0.610048 0.792364i \(-0.291150\pi\)
−0.636750 + 0.771071i \(0.719721\pi\)
\(74\) −12.6948 6.11350i −1.47574 0.710679i
\(75\) 5.09017i 0.587762i
\(76\) 0.497187 1.03242i 0.0570312 0.118427i
\(77\) −7.88733 1.80023i −0.898845 0.205155i
\(78\) 9.99190 4.81184i 1.13136 0.544834i
\(79\) 2.20854 + 4.58608i 0.248480 + 0.515975i 0.987483 0.157728i \(-0.0504170\pi\)
−0.739002 + 0.673703i \(0.764703\pi\)
\(80\) 3.08283 + 13.5068i 0.344671 + 1.51010i
\(81\) −4.80599 + 6.02652i −0.533999 + 0.669613i
\(82\) 2.87930 + 3.61052i 0.317965 + 0.398716i
\(83\) −1.76777 + 7.74509i −0.194038 + 0.850134i 0.780365 + 0.625324i \(0.215033\pi\)
−0.974403 + 0.224810i \(0.927824\pi\)
\(84\) 2.18001 0.497572i 0.237858 0.0542895i
\(85\) −14.7677 + 11.7768i −1.60178 + 1.27737i
\(86\) −4.47214 −0.482243
\(87\) 0 0
\(88\) −8.09017 −0.862415
\(89\) −6.80835 + 5.42948i −0.721683 + 0.575523i −0.913954 0.405819i \(-0.866986\pi\)
0.192270 + 0.981342i \(0.438415\pi\)
\(90\) 1.71971 0.392512i 0.181273 0.0413744i
\(91\) 2.10775 9.23465i 0.220952 0.968054i
\(92\) −1.24698 1.56366i −0.130007 0.163023i
\(93\) −1.09979 + 1.37910i −0.114043 + 0.143006i
\(94\) −2.52033 11.0423i −0.259952 1.13892i
\(95\) 2.29602 + 4.76774i 0.235567 + 0.489160i
\(96\) 4.93022 2.37427i 0.503189 0.242323i
\(97\) 16.1471 + 3.68546i 1.63948 + 0.374202i 0.940195 0.340636i \(-0.110643\pi\)
0.699290 + 0.714838i \(0.253500\pi\)
\(98\) −1.40408 + 2.91560i −0.141833 + 0.294520i
\(99\) 1.38197i 0.138893i
\(100\) 1.75173 + 0.843588i 0.175173 + 0.0843588i
\(101\) −1.26503 1.00883i −0.125875 0.100382i 0.558529 0.829485i \(-0.311366\pi\)
−0.684404 + 0.729103i \(0.739937\pi\)
\(102\) 13.5462 + 10.8027i 1.34127 + 1.06963i
\(103\) 11.8751 + 5.71874i 1.17009 + 0.563484i 0.915008 0.403437i \(-0.132184\pi\)
0.255078 + 0.966920i \(0.417899\pi\)
\(104\) 9.47214i 0.928819i
\(105\) −4.48039 + 9.30362i −0.437241 + 0.907940i
\(106\) 3.15493 + 0.720093i 0.306434 + 0.0699416i
\(107\) −10.1233 + 4.87515i −0.978661 + 0.471298i −0.853644 0.520856i \(-0.825613\pi\)
−0.125017 + 0.992155i \(0.539898\pi\)
\(108\) −1.46738 3.04705i −0.141199 0.293202i
\(109\) −3.69786 16.2014i −0.354191 1.55181i −0.767396 0.641173i \(-0.778448\pi\)
0.413205 0.910638i \(-0.364409\pi\)
\(110\) −10.4174 + 13.0630i −0.993260 + 1.24551i
\(111\) −8.78508 11.0161i −0.833843 1.04561i
\(112\) 2.41526 10.5820i 0.228221 0.999902i
\(113\) −9.69495 + 2.21281i −0.912024 + 0.208164i −0.652691 0.757624i \(-0.726360\pi\)
−0.259333 + 0.965788i \(0.583503\pi\)
\(114\) 3.79509 3.02648i 0.355443 0.283456i
\(115\) 9.23607 0.861268
\(116\) 0 0
\(117\) −1.61803 −0.149587
\(118\) 6.43922 5.13510i 0.592778 0.472725i
\(119\) 14.4273 3.29295i 1.32255 0.301864i
\(120\) −2.29780 + 10.0673i −0.209760 + 0.919018i
\(121\) −1.30320 1.63416i −0.118473 0.148560i
\(122\) 1.63232 2.04686i 0.147783 0.185314i
\(123\) 1.02761 + 4.50225i 0.0926564 + 0.405954i
\(124\) −0.292334 0.607039i −0.0262524 0.0545137i
\(125\) 4.76774 2.29602i 0.426440 0.205363i
\(126\) −1.34732 0.307516i −0.120029 0.0273957i
\(127\) 0.843588 1.75173i 0.0748563 0.155441i −0.860182 0.509987i \(-0.829650\pi\)
0.935039 + 0.354546i \(0.115365\pi\)
\(128\) 13.6180i 1.20368i
\(129\) −4.02926 1.94039i −0.354756 0.170842i
\(130\) −15.2944 12.1969i −1.34141 1.06974i
\(131\) −1.03689 0.826896i −0.0905939 0.0722462i 0.577146 0.816641i \(-0.304167\pi\)
−0.667739 + 0.744395i \(0.732738\pi\)
\(132\) 3.25974 + 1.56981i 0.283724 + 0.136634i
\(133\) 4.14590i 0.359495i
\(134\) 7.35184 15.2663i 0.635103 1.31880i
\(135\) 15.2265 + 3.47534i 1.31048 + 0.299110i
\(136\) 13.3329 6.42077i 1.14328 0.550577i
\(137\) 6.01107 + 12.4821i 0.513560 + 1.06642i 0.983026 + 0.183468i \(0.0587324\pi\)
−0.469465 + 0.882951i \(0.655553\pi\)
\(138\) −1.88523 8.25972i −0.160481 0.703114i
\(139\) 9.17042 11.4993i 0.777824 0.975361i −0.222175 0.975007i \(-0.571316\pi\)
1.00000 0.000354328i \(-0.000112786\pi\)
\(140\) −2.45921 3.08376i −0.207841 0.260625i
\(141\) 2.52033 11.0423i 0.212250 0.929927i
\(142\) −2.41015 + 0.550102i −0.202256 + 0.0461635i
\(143\) 11.9825 9.55575i 1.00203 0.799092i
\(144\) −1.85410 −0.154508
\(145\) 0 0
\(146\) 0.472136 0.0390742
\(147\) −2.53006 + 2.01766i −0.208676 + 0.166413i
\(148\) 5.24703 1.19760i 0.431303 0.0984421i
\(149\) 1.64264 7.19688i 0.134570 0.589592i −0.862005 0.506900i \(-0.830791\pi\)
0.996575 0.0826915i \(-0.0263516\pi\)
\(150\) 5.13510 + 6.43922i 0.419280 + 0.525760i
\(151\) −11.4262 + 14.3280i −0.929853 + 1.16600i 0.0560077 + 0.998430i \(0.482163\pi\)
−0.985860 + 0.167568i \(0.946409\pi\)
\(152\) −0.922549 4.04195i −0.0748286 0.327846i
\(153\) −1.09680 2.27753i −0.0886710 0.184127i
\(154\) 11.7938 5.67961i 0.950374 0.457676i
\(155\) 3.03345 + 0.692364i 0.243652 + 0.0556120i
\(156\) −1.83796 + 3.81657i −0.147155 + 0.305570i
\(157\) 5.56231i 0.443920i −0.975056 0.221960i \(-0.928755\pi\)
0.975056 0.221960i \(-0.0712455\pi\)
\(158\) −7.42044 3.57350i −0.590339 0.284292i
\(159\) 2.53006 + 2.01766i 0.200647 + 0.160010i
\(160\) −7.54661 6.01822i −0.596612 0.475782i
\(161\) −6.51947 3.13961i −0.513806 0.247436i
\(162\) 12.4721i 0.979904i
\(163\) 9.99427 20.7533i 0.782812 1.62553i 0.00261030 0.999997i \(-0.499169\pi\)
0.780201 0.625528i \(-0.215117\pi\)
\(164\) −1.71971 0.392512i −0.134287 0.0306500i
\(165\) −15.0536 + 7.24942i −1.17192 + 0.564366i
\(166\) −5.57719 11.5811i −0.432874 0.898871i
\(167\) 4.33296 + 18.9839i 0.335294 + 1.46902i 0.808724 + 0.588189i \(0.200159\pi\)
−0.473429 + 0.880832i \(0.656984\pi\)
\(168\) 5.04414 6.32515i 0.389164 0.487996i
\(169\) 3.08270 + 3.86559i 0.237131 + 0.297353i
\(170\) 6.80075 29.7960i 0.521594 2.28525i
\(171\) −0.690448 + 0.157590i −0.0527999 + 0.0120512i
\(172\) 1.33553 1.06505i 0.101833 0.0812091i
\(173\) 7.09017 0.539056 0.269528 0.962993i \(-0.413132\pi\)
0.269528 + 0.962993i \(0.413132\pi\)
\(174\) 0 0
\(175\) 7.03444 0.531754
\(176\) 13.7308 10.9499i 1.03500 0.825381i
\(177\) 8.02957 1.83270i 0.603540 0.137754i
\(178\) 3.13536 13.7369i 0.235005 1.02962i
\(179\) 9.97584 + 12.5093i 0.745629 + 0.934989i 0.999480 0.0322542i \(-0.0102686\pi\)
−0.253851 + 0.967243i \(0.581697\pi\)
\(180\) −0.420084 + 0.526768i −0.0313112 + 0.0392630i
\(181\) 2.65785 + 11.6448i 0.197556 + 0.865551i 0.972385 + 0.233381i \(0.0749788\pi\)
−0.774829 + 0.632171i \(0.782164\pi\)
\(182\) 6.64981 + 13.8085i 0.492916 + 1.02355i
\(183\) 2.35877 1.13592i 0.174365 0.0839698i
\(184\) −7.05464 1.61018i −0.520075 0.118704i
\(185\) −10.7838 + 22.3928i −0.792840 + 1.64635i
\(186\) 2.85410i 0.209273i
\(187\) 21.5730 + 10.3890i 1.57758 + 0.759721i
\(188\) 3.38239 + 2.69737i 0.246686 + 0.196726i
\(189\) −9.56654 7.62906i −0.695864 0.554933i
\(190\) −7.71437 3.71505i −0.559659 0.269518i
\(191\) 12.0344i 0.870782i 0.900242 + 0.435391i \(0.143390\pi\)
−0.900242 + 0.435391i \(0.856610\pi\)
\(192\) 2.97388 6.17533i 0.214622 0.445666i
\(193\) 3.43941 + 0.785024i 0.247574 + 0.0565072i 0.344507 0.938784i \(-0.388046\pi\)
−0.0969328 + 0.995291i \(0.530903\pi\)
\(194\) −24.1445 + 11.6274i −1.73347 + 0.834797i
\(195\) −8.48777 17.6250i −0.607822 1.26215i
\(196\) −0.275051 1.20508i −0.0196465 0.0860769i
\(197\) −12.2879 + 15.4085i −0.875474 + 1.09781i 0.119007 + 0.992893i \(0.462029\pi\)
−0.994481 + 0.104916i \(0.966543\pi\)
\(198\) −1.39417 1.74823i −0.0990790 0.124241i
\(199\) −0.190056 + 0.832688i −0.0134727 + 0.0590277i −0.981217 0.192905i \(-0.938209\pi\)
0.967745 + 0.251933i \(0.0810662\pi\)
\(200\) 6.85807 1.56531i 0.484939 0.110684i
\(201\) 13.2476 10.5646i 0.934411 0.745168i
\(202\) 2.61803 0.184204
\(203\) 0 0
\(204\) −6.61803 −0.463355
\(205\) 6.36872 5.07888i 0.444811 0.354725i
\(206\) −20.7915 + 4.74553i −1.44862 + 0.330637i
\(207\) −0.275051 + 1.20508i −0.0191174 + 0.0837587i
\(208\) 12.8204 + 16.0763i 0.888934 + 1.11469i
\(209\) 4.18250 5.24469i 0.289309 0.362782i
\(210\) −3.71793 16.2893i −0.256561 1.12407i
\(211\) −8.52689 17.7063i −0.587015 1.21895i −0.957048 0.289931i \(-0.906368\pi\)
0.370032 0.929019i \(-0.379347\pi\)
\(212\) −1.11366 + 0.536310i −0.0764864 + 0.0368339i
\(213\) −2.41015 0.550102i −0.165141 0.0376924i
\(214\) 7.88815 16.3799i 0.539223 1.11971i
\(215\) 7.88854i 0.537994i
\(216\) −11.0243 5.30903i −0.750110 0.361234i
\(217\) −1.90587 1.51988i −0.129379 0.103176i
\(218\) 21.0223 + 16.7647i 1.42381 + 1.13545i
\(219\) 0.425380 + 0.204852i 0.0287445 + 0.0138426i
\(220\) 6.38197i 0.430272i
\(221\) −12.1637 + 25.2582i −0.818218 + 1.69905i
\(222\) 22.2268 + 5.07312i 1.49176 + 0.340485i
\(223\) −16.5114 + 7.95146i −1.10568 + 0.532469i −0.895441 0.445180i \(-0.853140\pi\)
−0.210242 + 0.977649i \(0.567425\pi\)
\(224\) 3.28116 + 6.81340i 0.219232 + 0.455240i
\(225\) −0.267387 1.17150i −0.0178258 0.0780999i
\(226\) 10.0321 12.5798i 0.667322 0.836796i
\(227\) 9.28286 + 11.6403i 0.616125 + 0.772596i 0.987793 0.155769i \(-0.0497857\pi\)
−0.371669 + 0.928365i \(0.621214\pi\)
\(228\) −0.412577 + 1.80762i −0.0273235 + 0.119712i
\(229\) 15.3144 3.49540i 1.01200 0.230983i 0.315798 0.948827i \(-0.397728\pi\)
0.696204 + 0.717844i \(0.254871\pi\)
\(230\) −11.6839 + 9.31760i −0.770414 + 0.614384i
\(231\) 13.0902 0.861270
\(232\) 0 0
\(233\) 10.7639 0.705169 0.352584 0.935780i \(-0.385303\pi\)
0.352584 + 0.935780i \(0.385303\pi\)
\(234\) 2.04686 1.63232i 0.133808 0.106708i
\(235\) −19.4778 + 4.44568i −1.27059 + 0.290004i
\(236\) −0.700028 + 3.06702i −0.0455680 + 0.199646i
\(237\) −5.13510 6.43922i −0.333561 0.418272i
\(238\) −14.9290 + 18.7204i −0.967704 + 1.21346i
\(239\) −3.28055 14.3730i −0.212201 0.929713i −0.963068 0.269259i \(-0.913221\pi\)
0.750867 0.660454i \(-0.229636\pi\)
\(240\) −9.72611 20.1965i −0.627818 1.30368i
\(241\) 24.0131 11.5641i 1.54682 0.744908i 0.550848 0.834606i \(-0.314305\pi\)
0.995969 + 0.0896982i \(0.0285903\pi\)
\(242\) 3.29717 + 0.752558i 0.211950 + 0.0483763i
\(243\) −1.71136 + 3.55367i −0.109784 + 0.227968i
\(244\) 1.00000i 0.0640184i
\(245\) 5.14291 + 2.47670i 0.328569 + 0.158230i
\(246\) −5.84195 4.65880i −0.372469 0.297034i
\(247\) 6.14058 + 4.89695i 0.390716 + 0.311586i
\(248\) −2.19629 1.05768i −0.139464 0.0671625i
\(249\) 12.8541i 0.814596i
\(250\) −3.71505 + 7.71437i −0.234960 + 0.487900i
\(251\) 11.3603 + 2.59292i 0.717057 + 0.163664i 0.565456 0.824778i \(-0.308700\pi\)
0.151601 + 0.988442i \(0.451557\pi\)
\(252\) 0.475589 0.229032i 0.0299593 0.0144276i
\(253\) −5.08000 10.5487i −0.319377 0.663193i
\(254\) 0.700028 + 3.06702i 0.0439237 + 0.192442i
\(255\) 19.0553 23.8946i 1.19329 1.49634i
\(256\) 8.45596 + 10.6034i 0.528497 + 0.662715i
\(257\) 0.182392 0.799110i 0.0113773 0.0498471i −0.968921 0.247372i \(-0.920433\pi\)
0.980298 + 0.197525i \(0.0632903\pi\)
\(258\) 7.05464 1.61018i 0.439203 0.100245i
\(259\) 15.2239 12.1407i 0.945969 0.754385i
\(260\) 7.47214 0.463402
\(261\) 0 0
\(262\) 2.14590 0.132574
\(263\) −2.57363 + 2.05240i −0.158697 + 0.126556i −0.699619 0.714516i \(-0.746647\pi\)
0.540922 + 0.841073i \(0.318075\pi\)
\(264\) 12.7620 2.91284i 0.785445 0.179273i
\(265\) 1.27019 5.56509i 0.0780275 0.341861i
\(266\) 4.18250 + 5.24469i 0.256445 + 0.321572i
\(267\) 8.78508 11.0161i 0.537638 0.674177i
\(268\) 1.44019 + 6.30987i 0.0879733 + 0.385436i
\(269\) 2.60330 + 5.40581i 0.158726 + 0.329598i 0.965132 0.261765i \(-0.0843044\pi\)
−0.806406 + 0.591363i \(0.798590\pi\)
\(270\) −22.7679 + 10.9645i −1.38561 + 0.667276i
\(271\) 11.8750 + 2.71038i 0.721352 + 0.164644i 0.567409 0.823436i \(-0.307946\pi\)
0.153943 + 0.988080i \(0.450803\pi\)
\(272\) −13.9383 + 28.9433i −0.845136 + 1.75494i
\(273\) 15.3262i 0.927586i
\(274\) −20.1965 9.72611i −1.22011 0.587576i
\(275\) 8.89878 + 7.09654i 0.536617 + 0.427937i
\(276\) 2.53006 + 2.01766i 0.152292 + 0.121449i
\(277\) 21.2791 + 10.2475i 1.27854 + 0.615711i 0.945014 0.327030i \(-0.106048\pi\)
0.333524 + 0.942742i \(0.391762\pi\)
\(278\) 23.7984i 1.42733i
\(279\) −0.180673 + 0.375171i −0.0108166 + 0.0224609i
\(280\) −13.9127 3.17549i −0.831444 0.189772i
\(281\) 15.4287 7.43009i 0.920402 0.443242i 0.0871871 0.996192i \(-0.472212\pi\)
0.833214 + 0.552950i \(0.186498\pi\)
\(282\) 7.95146 + 16.5114i 0.473502 + 0.983238i
\(283\) −0.169991 0.744779i −0.0101049 0.0442725i 0.969624 0.244600i \(-0.0786566\pi\)
−0.979729 + 0.200327i \(0.935799\pi\)
\(284\) 0.588744 0.738262i 0.0349355 0.0438078i
\(285\) −5.33851 6.69428i −0.316226 0.396535i
\(286\) −5.51816 + 24.1766i −0.326295 + 1.42959i
\(287\) −6.22196 + 1.42012i −0.367270 + 0.0838271i
\(288\) 1.00997 0.805422i 0.0595129 0.0474599i
\(289\) −26.7984 −1.57637
\(290\) 0 0
\(291\) −26.7984 −1.57095
\(292\) −0.140995 + 0.112440i −0.00825113 + 0.00658006i
\(293\) −17.0341 + 3.88792i −0.995141 + 0.227134i −0.688929 0.724829i \(-0.741919\pi\)
−0.306212 + 0.951963i \(0.599062\pi\)
\(294\) 1.16513 5.10479i 0.0679520 0.297717i
\(295\) −9.05798 11.3583i −0.527376 0.661308i
\(296\) 12.1407 15.2239i 0.705663 0.884873i
\(297\) −4.40555 19.3020i −0.255636 1.12001i
\(298\) 5.18243 + 10.7614i 0.300210 + 0.623392i
\(299\) 12.3507 5.94777i 0.714257 0.343968i
\(300\) −3.06702 0.700028i −0.177075 0.0404161i
\(301\) 2.68155 5.56829i 0.154562 0.320951i
\(302\) 29.6525i 1.70631i
\(303\) 2.35877 + 1.13592i 0.135508 + 0.0652570i
\(304\) 7.03648 + 5.61141i 0.403570 + 0.321836i
\(305\) −3.61052 2.87930i −0.206738 0.164868i
\(306\) 3.68512 + 1.77466i 0.210664 + 0.101450i
\(307\) 3.18034i 0.181512i −0.995873 0.0907558i \(-0.971072\pi\)
0.995873 0.0907558i \(-0.0289283\pi\)
\(308\) −2.16942 + 4.50484i −0.123614 + 0.256687i
\(309\) −20.7915 4.74553i −1.18279 0.269964i
\(310\) −4.53588 + 2.18436i −0.257620 + 0.124063i
\(311\) −3.94408 8.18996i −0.223648 0.464410i 0.758708 0.651431i \(-0.225831\pi\)
−0.982356 + 0.187021i \(0.940117\pi\)
\(312\) 3.41041 + 14.9420i 0.193076 + 0.845923i
\(313\) −15.0200 + 18.8345i −0.848979 + 1.06459i 0.148157 + 0.988964i \(0.452666\pi\)
−0.997137 + 0.0756224i \(0.975906\pi\)
\(314\) 5.61141 + 7.03648i 0.316670 + 0.397092i
\(315\) −0.542438 + 2.37658i −0.0305629 + 0.133905i
\(316\) 3.06702 0.700028i 0.172534 0.0393797i
\(317\) −11.1738 + 8.91079i −0.627582 + 0.500480i −0.884860 0.465858i \(-0.845746\pi\)
0.257278 + 0.966337i \(0.417174\pi\)
\(318\) −5.23607 −0.293624
\(319\) 0 0
\(320\) −12.0902 −0.675861
\(321\) 14.2140 11.3353i 0.793346 0.632672i
\(322\) 11.4147 2.60532i 0.636114 0.145189i
\(323\) −2.73045 + 11.9629i −0.151926 + 0.665631i
\(324\) 2.97026 + 3.72459i 0.165015 + 0.206922i
\(325\) −8.30877 + 10.4189i −0.460888 + 0.577935i
\(326\) 8.29347 + 36.3361i 0.459333 + 2.01247i
\(327\) 11.6665 + 24.2257i 0.645159 + 1.33969i
\(328\) −5.74995 + 2.76903i −0.317488 + 0.152894i
\(329\) 15.2600 + 3.48300i 0.841313 + 0.192024i
\(330\) 11.7298 24.3572i 0.645704 1.34082i
\(331\) 1.18034i 0.0648773i −0.999474 0.0324387i \(-0.989673\pi\)
0.999474 0.0324387i \(-0.0103274\pi\)
\(332\) 4.42360 + 2.13030i 0.242777 + 0.116915i
\(333\) −2.60056 2.07388i −0.142510 0.113648i
\(334\) −24.6328 19.6440i −1.34785 1.07487i
\(335\) −26.9286 12.9682i −1.47127 0.708526i
\(336\) 17.5623i 0.958102i
\(337\) 10.4431 21.6853i 0.568872 1.18127i −0.395926 0.918282i \(-0.629576\pi\)
0.964798 0.262992i \(-0.0847093\pi\)
\(338\) −7.79942 1.78017i −0.424233 0.0968283i
\(339\) 14.4967 6.98126i 0.787355 0.379170i
\(340\) 5.06506 + 10.5177i 0.274691 + 0.570402i
\(341\) −0.877683 3.84538i −0.0475292 0.208239i
\(342\) 0.714456 0.895899i 0.0386333 0.0484447i
\(343\) −12.5475 15.7341i −0.677501 0.849559i
\(344\) 1.37526 6.02539i 0.0741488 0.324867i
\(345\) −14.5696 + 3.32541i −0.784400 + 0.179034i
\(346\) −8.96928 + 7.15276i −0.482191 + 0.384535i
\(347\) −8.12461 −0.436152 −0.218076 0.975932i \(-0.569978\pi\)
−0.218076 + 0.975932i \(0.569978\pi\)
\(348\) 0 0
\(349\) 13.4721 0.721147 0.360573 0.932731i \(-0.382581\pi\)
0.360573 + 0.932731i \(0.382581\pi\)
\(350\) −8.89878 + 7.09654i −0.475660 + 0.379326i
\(351\) 22.5992 5.15811i 1.20625 0.275320i
\(352\) −2.72278 + 11.9293i −0.145125 + 0.635833i
\(353\) −13.1710 16.5159i −0.701021 0.879052i 0.296079 0.955164i \(-0.404321\pi\)
−0.997099 + 0.0761116i \(0.975749\pi\)
\(354\) −8.30877 + 10.4189i −0.441606 + 0.553757i
\(355\) 0.970343 + 4.25135i 0.0515004 + 0.225638i
\(356\) 2.33515 + 4.84898i 0.123763 + 0.256996i
\(357\) −21.5730 + 10.3890i −1.14177 + 0.549846i
\(358\) −25.2395 5.76074i −1.33395 0.304465i
\(359\) 12.2512 25.4398i 0.646592 1.34266i −0.277586 0.960701i \(-0.589534\pi\)
0.924178 0.381962i \(-0.124751\pi\)
\(360\) 2.43769i 0.128478i
\(361\) −14.0212 6.75223i −0.737955 0.355381i
\(362\) −15.1099 12.0497i −0.794157 0.633319i
\(363\) 2.64413 + 2.10862i 0.138781 + 0.110674i
\(364\) −5.27436 2.54000i −0.276452 0.133132i
\(365\) 0.832816i 0.0435916i
\(366\) −1.83796 + 3.81657i −0.0960718 + 0.199495i
\(367\) −6.11330 1.39532i −0.319111 0.0728351i 0.0599650 0.998200i \(-0.480901\pi\)
−0.379076 + 0.925365i \(0.623758\pi\)
\(368\) 14.1526 6.81553i 0.737755 0.355284i
\(369\) 0.473007 + 0.982209i 0.0246238 + 0.0511318i
\(370\) −8.94863 39.2065i −0.465217 2.03825i
\(371\) −2.78833 + 3.49646i −0.144763 + 0.181527i
\(372\) 0.679710 + 0.852329i 0.0352413 + 0.0441912i
\(373\) −4.09037 + 17.9211i −0.211791 + 0.927919i 0.751558 + 0.659668i \(0.229303\pi\)
−0.963349 + 0.268251i \(0.913554\pi\)
\(374\) −37.7713 + 8.62105i −1.95311 + 0.445784i
\(375\) −6.69428 + 5.33851i −0.345691 + 0.275679i
\(376\) 15.6525 0.807215
\(377\) 0 0
\(378\) 19.7984 1.01832
\(379\) −29.4815 + 23.5107i −1.51436 + 1.20766i −0.601851 + 0.798609i \(0.705570\pi\)
−0.912510 + 0.409054i \(0.865859\pi\)
\(380\) 3.18851 0.727757i 0.163567 0.0373331i
\(381\) −0.700028 + 3.06702i −0.0358635 + 0.157128i
\(382\) −12.1407 15.2239i −0.621171 0.778924i
\(383\) 13.8077 17.3144i 0.705543 0.884722i −0.291881 0.956455i \(-0.594281\pi\)
0.997424 + 0.0717321i \(0.0228527\pi\)
\(384\) 4.90312 + 21.4820i 0.250212 + 1.09625i
\(385\) −10.0184 20.8035i −0.510587 1.06025i
\(386\) −5.14291 + 2.47670i −0.261767 + 0.126061i
\(387\) −1.02926 0.234922i −0.0523202 0.0119417i
\(388\) 4.44126 9.22238i 0.225471 0.468195i
\(389\) 21.1246i 1.07106i 0.844516 + 0.535530i \(0.179888\pi\)
−0.844516 + 0.535530i \(0.820112\pi\)
\(390\) 28.5179 + 13.7335i 1.44406 + 0.695423i
\(391\) 16.7440 + 13.3529i 0.846782 + 0.675286i
\(392\) −3.49646 2.78833i −0.176598 0.140832i
\(393\) 1.93339 + 0.931070i 0.0975265 + 0.0469663i
\(394\) 31.8885i 1.60652i
\(395\) −6.30340 + 13.0892i −0.317159 + 0.658587i
\(396\) 0.832688 + 0.190056i 0.0418441 + 0.00955065i
\(397\) 28.7808 13.8601i 1.44447 0.695618i 0.462842 0.886441i \(-0.346830\pi\)
0.981625 + 0.190822i \(0.0611154\pi\)
\(398\) −0.599613 1.24511i −0.0300559 0.0624116i
\(399\) 1.49272 + 6.54002i 0.0747293 + 0.327410i
\(400\) −9.52101 + 11.9390i −0.476050 + 0.596948i
\(401\) −20.6181 25.8543i −1.02962 1.29110i −0.955859 0.293826i \(-0.905071\pi\)
−0.0737604 0.997276i \(-0.523500\pi\)
\(402\) −6.10072 + 26.7290i −0.304276 + 1.33312i
\(403\) 4.50225 1.02761i 0.224273 0.0511889i
\(404\) −0.781831 + 0.623490i −0.0388976 + 0.0310198i
\(405\) −22.0000 −1.09319
\(406\) 0 0
\(407\) 31.5066 1.56172
\(408\) −18.7204 + 14.9290i −0.926797 + 0.739096i
\(409\) −0.568960 + 0.129861i −0.0281333 + 0.00642124i −0.236564 0.971616i \(-0.576021\pi\)
0.208431 + 0.978037i \(0.433164\pi\)
\(410\) −2.93290 + 12.8499i −0.144846 + 0.634610i
\(411\) −13.9764 17.5259i −0.689405 0.864487i
\(412\) 5.07888 6.36872i 0.250219 0.313764i
\(413\) 2.53273 + 11.0966i 0.124627 + 0.546028i
\(414\) −0.867767 1.80194i −0.0426484 0.0885604i
\(415\) −20.4284 + 9.83778i −1.00279 + 0.482917i
\(416\) −13.9670 3.18789i −0.684791 0.156299i
\(417\) −10.3257 + 21.4416i −0.505653 + 1.05000i
\(418\) 10.8541i 0.530891i
\(419\) 2.30856 + 1.11174i 0.112780 + 0.0543122i 0.489423 0.872046i \(-0.337207\pi\)
−0.376643 + 0.926359i \(0.622922\pi\)
\(420\) 4.98962 + 3.97909i 0.243469 + 0.194160i
\(421\) −1.53674 1.22551i −0.0748959 0.0597275i 0.585326 0.810798i \(-0.300966\pi\)
−0.660222 + 0.751070i \(0.729538\pi\)
\(422\) 28.6493 + 13.7968i 1.39463 + 0.671618i
\(423\) 2.67376i 0.130003i
\(424\) −1.94039 + 4.02926i −0.0942335 + 0.195678i
\(425\) −20.2977 4.63281i −0.984582 0.224724i
\(426\) 3.60388 1.73553i 0.174608 0.0840869i
\(427\) 1.56981 + 3.25974i 0.0759682 + 0.157750i
\(428\) 1.54525 + 6.77016i 0.0746923 + 0.327248i
\(429\) −15.4615 + 19.3881i −0.746490 + 0.936069i
\(430\) −7.95818 9.97924i −0.383778 0.481242i
\(431\) 7.69850 33.7293i 0.370824 1.62468i −0.353647 0.935379i \(-0.615058\pi\)
0.724470 0.689306i \(-0.242084\pi\)
\(432\) 25.8963 5.91067i 1.24594 0.284377i
\(433\) −9.86518 + 7.86722i −0.474090 + 0.378074i −0.831187 0.555993i \(-0.812338\pi\)
0.357097 + 0.934067i \(0.383767\pi\)
\(434\) 3.94427 0.189331
\(435\) 0 0
\(436\) −10.2705 −0.491868
\(437\) 4.69099 3.74094i 0.224400 0.178953i
\(438\) −0.744779 + 0.169991i −0.0355869 + 0.00812248i
\(439\) −0.679963 + 2.97911i −0.0324529 + 0.142185i −0.988559 0.150836i \(-0.951804\pi\)
0.956106 + 0.293021i \(0.0946607\pi\)
\(440\) −14.3965 18.0526i −0.686326 0.860625i
\(441\) −0.476304 + 0.597266i −0.0226811 + 0.0284412i
\(442\) −10.0937 44.2234i −0.480108 2.10349i
\(443\) 5.67961 + 11.7938i 0.269847 + 0.560342i 0.991223 0.132201i \(-0.0422045\pi\)
−0.721376 + 0.692543i \(0.756490\pi\)
\(444\) −7.84582 + 3.77835i −0.372346 + 0.179312i
\(445\) −24.2310 5.53056i −1.14866 0.262174i
\(446\) 12.8657 26.7160i 0.609210 1.26504i
\(447\) 11.9443i 0.564945i
\(448\) 8.53410 + 4.10981i 0.403198 + 0.194170i
\(449\) −11.0431 8.80655i −0.521155 0.415607i 0.327264 0.944933i \(-0.393873\pi\)
−0.848418 + 0.529326i \(0.822445\pi\)
\(450\) 1.52009 + 1.21223i 0.0716579 + 0.0571452i
\(451\) −9.30362 4.48039i −0.438090 0.210973i
\(452\) 6.14590i 0.289079i
\(453\) 12.8657 26.7160i 0.604485 1.25523i
\(454\) −23.4862 5.36057i −1.10226 0.251584i
\(455\) 24.3572 11.7298i 1.14188 0.549902i
\(456\) 2.91058 + 6.04388i 0.136300 + 0.283031i
\(457\) 1.17754 + 5.15912i 0.0550828 + 0.241333i 0.994973 0.100143i \(-0.0319301\pi\)
−0.939890 + 0.341477i \(0.889073\pi\)
\(458\) −15.8469 + 19.8713i −0.740476 + 0.928527i
\(459\) 22.5795 + 28.3139i 1.05392 + 1.32158i
\(460\) 1.27019 5.56509i 0.0592231 0.259474i
\(461\) 7.77867 1.77543i 0.362289 0.0826901i −0.0375018 0.999297i \(-0.511940\pi\)
0.399791 + 0.916607i \(0.369083\pi\)
\(462\) −16.5595 + 13.2057i −0.770416 + 0.614386i
\(463\) 2.70820 0.125861 0.0629305 0.998018i \(-0.479955\pi\)
0.0629305 + 0.998018i \(0.479955\pi\)
\(464\) 0 0
\(465\) −5.03444 −0.233467
\(466\) −13.6167 + 10.8590i −0.630781 + 0.503031i
\(467\) 0.0543309 0.0124007i 0.00251413 0.000573834i −0.221264 0.975214i \(-0.571018\pi\)
0.223778 + 0.974640i \(0.428161\pi\)
\(468\) −0.222521 + 0.974928i −0.0102860 + 0.0450661i
\(469\) 14.5999 + 18.3077i 0.674160 + 0.845370i
\(470\) 20.1551 25.2737i 0.929685 1.16579i
\(471\) 2.00269 + 8.77435i 0.0922790 + 0.404301i
\(472\) 4.93845 + 10.2548i 0.227311 + 0.472015i
\(473\) 9.00969 4.33884i 0.414266 0.199500i
\(474\) 12.9921 + 2.96537i 0.596748 + 0.136204i
\(475\) −2.53076 + 5.25519i −0.116119 + 0.241124i
\(476\) 9.14590i 0.419202i
\(477\) 0.688279 + 0.331458i 0.0315141 + 0.0151764i
\(478\) 18.6499 + 14.8728i 0.853026 + 0.680266i
\(479\) 8.74114 + 6.97083i 0.399393 + 0.318505i 0.802505 0.596645i \(-0.203500\pi\)
−0.403112 + 0.915151i \(0.632072\pi\)
\(480\) 14.0714 + 6.77641i 0.642267 + 0.309299i
\(481\) 36.8885i 1.68197i
\(482\) −18.7111 + 38.8539i −0.852266 + 1.76975i
\(483\) 11.4147 + 2.60532i 0.519385 + 0.118546i
\(484\) −1.16387 + 0.560489i −0.0529031 + 0.0254768i
\(485\) 20.5099 + 42.5893i 0.931307 + 1.93388i
\(486\) −1.42012 6.22196i −0.0644180 0.282234i
\(487\) 13.9897 17.5425i 0.633933 0.794926i −0.356297 0.934373i \(-0.615961\pi\)
0.990230 + 0.139446i \(0.0445323\pi\)
\(488\) 2.25581 + 2.82869i 0.102116 + 0.128049i
\(489\) −8.29347 + 36.3361i −0.375044 + 1.64317i
\(490\) −9.00450 + 2.05522i −0.406782 + 0.0928453i
\(491\) −19.6432 + 15.6649i −0.886486 + 0.706949i −0.956853 0.290572i \(-0.906154\pi\)
0.0703673 + 0.997521i \(0.477583\pi\)
\(492\) 2.85410 0.128673
\(493\) 0 0
\(494\) −12.7082 −0.571769
\(495\) −3.08376 + 2.45921i −0.138605 + 0.110533i
\(496\) 5.15912 1.17754i 0.231651 0.0528729i
\(497\) 0.760222 3.33075i 0.0341006 0.149405i
\(498\) 12.9676 + 16.2608i 0.581091 + 0.728665i
\(499\) 22.2504 27.9012i 0.996066 1.24903i 0.0276681 0.999617i \(-0.491192\pi\)
0.968398 0.249410i \(-0.0802367\pi\)
\(500\) −0.727757 3.18851i −0.0325463 0.142595i
\(501\) −13.6702 28.3864i −0.610739 1.26821i
\(502\) −16.9870 + 8.18049i −0.758165 + 0.365113i
\(503\) 18.7874 + 4.28809i 0.837687 + 0.191197i 0.619783 0.784774i \(-0.287221\pi\)
0.217904 + 0.975970i \(0.430078\pi\)
\(504\) 0.828644 1.72070i 0.0369107 0.0766460i
\(505\) 4.61803i 0.205500i
\(506\) 17.0682 + 8.21961i 0.758774 + 0.365406i
\(507\) −6.25465 4.98792i −0.277779 0.221521i
\(508\) −0.939469 0.749202i −0.0416822 0.0332404i
\(509\) −10.3050 4.96263i −0.456761 0.219965i 0.191332 0.981525i \(-0.438719\pi\)
−0.648094 + 0.761561i \(0.724433\pi\)
\(510\) 49.4508i 2.18972i
\(511\) −0.283099 + 0.587860i −0.0125235 + 0.0260054i
\(512\) 5.15912 + 1.17754i 0.228003 + 0.0520402i
\(513\) 9.14114 4.40214i 0.403591 0.194359i
\(514\) 0.575433 + 1.19490i 0.0253813 + 0.0527047i
\(515\) 8.37080 + 36.6749i 0.368862 + 1.61609i
\(516\) −1.72328 + 2.16093i −0.0758633 + 0.0951296i
\(517\) 15.7907 + 19.8009i 0.694472 + 0.870840i
\(518\) −7.01087 + 30.7166i −0.308040 + 1.34961i
\(519\) −11.1845 + 2.55279i −0.490945 + 0.112055i
\(520\) 21.1364 16.8557i 0.926891 0.739171i
\(521\) 7.09017 0.310626 0.155313 0.987865i \(-0.450361\pi\)
0.155313 + 0.987865i \(0.450361\pi\)
\(522\) 0 0
\(523\) −22.6180 −0.989018 −0.494509 0.869173i \(-0.664652\pi\)
−0.494509 + 0.869173i \(0.664652\pi\)
\(524\) −0.640836 + 0.511050i −0.0279951 + 0.0223253i
\(525\) −11.0966 + 2.53273i −0.484295 + 0.110537i
\(526\) 1.18520 5.19270i 0.0516772 0.226412i
\(527\) 4.49834 + 5.64074i 0.195951 + 0.245715i
\(528\) −17.7173 + 22.2168i −0.771048 + 0.966864i
\(529\) 2.78771 + 12.2138i 0.121205 + 0.531033i
\(530\) 4.00738 + 8.32141i 0.174069 + 0.361459i
\(531\) 1.75173 0.843588i 0.0760185 0.0366086i
\(532\) −2.49806 0.570167i −0.108305 0.0247199i
\(533\) 5.24573 10.8929i 0.227218 0.471822i
\(534\) 22.7984i 0.986582i
\(535\) −28.8931 13.9142i −1.24916 0.601562i
\(536\) 18.3077 + 14.5999i 0.790772 + 0.630619i
\(537\) −20.2405 16.1412i −0.873441 0.696546i
\(538\) −8.74679 4.21223i −0.377101 0.181602i
\(539\) 7.23607i 0.311680i
\(540\) 4.18805 8.69658i 0.180225 0.374241i
\(541\) 33.7293 + 7.69850i 1.45014 + 0.330984i 0.873823 0.486244i \(-0.161633\pi\)
0.576314 + 0.817228i \(0.304490\pi\)
\(542\) −17.7565 + 8.55107i −0.762706 + 0.367300i
\(543\) −8.38534 17.4123i −0.359849 0.747235i
\(544\) −4.98046 21.8208i −0.213535 0.935559i
\(545\) 29.5718 37.0819i 1.26672 1.58842i
\(546\) −15.4615 19.3881i −0.661693 0.829736i
\(547\) −2.14021 + 9.37689i −0.0915089 + 0.400927i −0.999850 0.0173027i \(-0.994492\pi\)
0.908341 + 0.418230i \(0.137349\pi\)
\(548\) 8.34763 1.90529i 0.356593 0.0813901i
\(549\) 0.483198 0.385338i 0.0206224 0.0164458i
\(550\) −18.4164 −0.785278
\(551\) 0 0
\(552\) 11.7082 0.498334
\(553\) 8.89878 7.09654i 0.378415 0.301776i
\(554\) −37.2567 + 8.50359i −1.58288 + 0.361283i
\(555\) 8.94863 39.2065i 0.379848 1.66422i
\(556\) −5.66763 7.10698i −0.240361 0.301403i
\(557\) −20.2675 + 25.4147i −0.858762 + 1.07685i 0.137502 + 0.990501i \(0.456093\pi\)
−0.996265 + 0.0863525i \(0.972479\pi\)
\(558\) −0.149926 0.656869i −0.00634688 0.0278075i
\(559\) 5.08000 + 10.5487i 0.214861 + 0.446164i
\(560\) 27.9109 13.4412i 1.17945 0.567993i
\(561\) −37.7713 8.62105i −1.59470 0.363981i
\(562\) −12.0221 + 24.9642i −0.507123 + 1.05305i
\(563\) 45.3951i 1.91318i −0.291443 0.956588i \(-0.594135\pi\)
0.291443 0.956588i \(-0.405865\pi\)
\(564\) −6.30678 3.03719i −0.265563 0.127889i
\(565\) −22.1899 17.6959i −0.933537 0.744471i
\(566\) 0.966397 + 0.770676i 0.0406207 + 0.0323939i
\(567\) 15.5292 + 7.47845i 0.652163 + 0.314065i
\(568\) 3.41641i 0.143349i
\(569\) 6.91796 14.3653i 0.290016 0.602224i −0.704154 0.710047i \(-0.748674\pi\)
0.994170 + 0.107823i \(0.0343879\pi\)
\(570\) 13.5068 + 3.08283i 0.565736 + 0.129125i
\(571\) −3.15932 + 1.52145i −0.132213 + 0.0636706i −0.498821 0.866705i \(-0.666233\pi\)
0.366608 + 0.930376i \(0.380519\pi\)
\(572\) −4.10981 8.53410i −0.171840 0.356829i
\(573\) −4.33296 18.9839i −0.181012 0.793065i
\(574\) 6.43830 8.07338i 0.268730 0.336976i
\(575\) 6.34734 + 7.95931i 0.264702 + 0.331926i
\(576\) 0.360046 1.57747i 0.0150019 0.0657278i
\(577\) −7.05464 + 1.61018i −0.293689 + 0.0670325i −0.366827 0.930289i \(-0.619556\pi\)
0.0731380 + 0.997322i \(0.476699\pi\)
\(578\) 33.9007 27.0349i 1.41009 1.12451i
\(579\) −5.70820 −0.237225
\(580\) 0 0
\(581\) 17.7639 0.736972
\(582\) 33.9007 27.0349i 1.40523 1.12063i
\(583\) −7.05464 + 1.61018i −0.292174 + 0.0666867i
\(584\) −0.145190 + 0.636117i −0.00600799 + 0.0263227i
\(585\) −2.87930 3.61052i −0.119044 0.149277i
\(586\) 17.6264 22.1028i 0.728139 0.913057i
\(587\) −9.87592 43.2692i −0.407623 1.78591i −0.595110 0.803645i \(-0.702891\pi\)
0.187487 0.982267i \(-0.439966\pi\)
\(588\) 0.867767 + 1.80194i 0.0357861 + 0.0743107i
\(589\) 1.82112 0.877003i 0.0750378 0.0361363i
\(590\) 22.9172 + 5.23071i 0.943487 + 0.215345i
\(591\) 13.8359 28.7306i 0.569134 1.18182i
\(592\) 42.2705i 1.73731i
\(593\) −31.1396 14.9960i −1.27875 0.615813i −0.333680 0.942686i \(-0.608291\pi\)
−0.945068 + 0.326873i \(0.894005\pi\)
\(594\) 25.0455 + 19.9731i 1.02763 + 0.819508i
\(595\) 33.0215 + 26.3338i 1.35375 + 1.07958i
\(596\) −4.11050 1.97951i −0.168372 0.0810839i
\(597\) 1.38197i 0.0565601i
\(598\) −9.62369 + 19.9838i −0.393542 + 0.817198i
\(599\) −43.9389 10.0288i −1.79530 0.409764i −0.810821 0.585294i \(-0.800979\pi\)
−0.984474 + 0.175530i \(0.943836\pi\)
\(600\) −10.2548 + 4.93845i −0.418650 + 0.201611i
\(601\) −17.4244 36.1821i −0.710754 1.47590i −0.872269 0.489027i \(-0.837352\pi\)
0.161514 0.986870i \(-0.448362\pi\)
\(602\) 2.22521 + 9.74928i 0.0906928 + 0.397351i
\(603\) 2.49396 3.12733i 0.101562 0.127355i
\(604\) 7.06179 + 8.85521i 0.287340 + 0.360313i
\(605\) 1.32746 5.81599i 0.0539690 0.236454i
\(606\) −4.12986 + 0.942614i −0.167764 + 0.0382911i
\(607\) 28.1293 22.4324i 1.14173 0.910501i 0.144854 0.989453i \(-0.453729\pi\)
0.996878 + 0.0789516i \(0.0251572\pi\)
\(608\) −6.27051 −0.254303
\(609\) 0 0
\(610\) 7.47214 0.302538
\(611\) −23.1832 + 18.4880i −0.937893 + 0.747945i
\(612\) −1.52314 + 0.347646i −0.0615691 + 0.0140527i
\(613\) −8.79870 + 38.5496i −0.355376 + 1.55701i 0.409183 + 0.912452i \(0.365814\pi\)
−0.764559 + 0.644553i \(0.777043\pi\)
\(614\) 3.20841 + 4.02323i 0.129481 + 0.162364i
\(615\) −8.21781 + 10.3048i −0.331374 + 0.415530i
\(616\) 4.02544 + 17.6366i 0.162190 + 0.710599i
\(617\) −3.54932 7.37023i −0.142890 0.296714i 0.817225 0.576318i \(-0.195511\pi\)
−0.960115 + 0.279604i \(0.909797\pi\)
\(618\) 31.0894 14.9718i 1.25060 0.602256i
\(619\) −24.3189 5.55062i −0.977458 0.223098i −0.296187 0.955130i \(-0.595715\pi\)
−0.681271 + 0.732032i \(0.738572\pi\)
\(620\) 0.834352 1.73255i 0.0335084 0.0695809i
\(621\) 17.7082i 0.710606i
\(622\) 13.2516 + 6.38165i 0.531342 + 0.255881i
\(623\) 15.2239 + 12.1407i 0.609934 + 0.486406i
\(624\) −26.0119 20.7438i −1.04131 0.830418i
\(625\) 27.7794 + 13.3779i 1.11118 + 0.535114i
\(626\) 38.9787i 1.55790i
\(627\) −4.70942 + 9.77921i −0.188076 + 0.390544i
\(628\) −3.35150 0.764959i −0.133740 0.0305252i
\(629\) −51.9239 + 25.0052i −2.07034 + 0.997024i
\(630\) −1.71136 3.55367i −0.0681820 0.141581i
\(631\) 5.16577 + 22.6327i 0.205646 + 0.900995i 0.967425 + 0.253158i \(0.0814692\pi\)
−0.761779 + 0.647837i \(0.775674\pi\)
\(632\) 7.09654 8.89878i 0.282285 0.353974i
\(633\) 19.8260 + 24.8610i 0.788011 + 0.988135i
\(634\) 5.14571 22.5448i 0.204362 0.895370i
\(635\) 5.41002 1.23480i 0.214690 0.0490016i
\(636\) 1.56366 1.24698i 0.0620033 0.0494460i
\(637\) 8.47214 0.335678
\(638\) 0 0
\(639\) −0.583592 −0.0230865
\(640\) 30.3876 24.2333i 1.20118 0.957907i
\(641\) −28.2186 + 6.44071i −1.11457 + 0.254393i −0.739867 0.672753i \(-0.765111\pi\)
−0.374700 + 0.927146i \(0.622254\pi\)
\(642\) −6.54577 + 28.6789i −0.258341 + 1.13186i
\(643\) 6.59876 + 8.27459i 0.260230 + 0.326318i 0.894732 0.446603i \(-0.147366\pi\)
−0.634502 + 0.772921i \(0.718795\pi\)
\(644\) −2.78833 + 3.49646i −0.109876 + 0.137780i
\(645\) −2.84024 12.4439i −0.111834 0.489979i
\(646\) −8.61437 17.8879i −0.338928 0.703791i
\(647\) −35.5632 + 17.1263i −1.39813 + 0.673305i −0.972782 0.231724i \(-0.925564\pi\)
−0.425351 + 0.905029i \(0.639849\pi\)
\(648\) 16.8039 + 3.83539i 0.660120 + 0.150668i
\(649\) −7.99058 + 16.5926i −0.313658 + 0.651317i
\(650\) 21.5623i 0.845743i
\(651\) 3.55367 + 1.71136i 0.139279 + 0.0670733i
\(652\) −11.1302 8.87604i −0.435893 0.347613i
\(653\) −21.9016 17.4659i −0.857075 0.683494i 0.0929495 0.995671i \(-0.470370\pi\)
−0.950024 + 0.312177i \(0.898942\pi\)
\(654\) −39.1981 18.8768i −1.53277 0.738141i
\(655\) 3.78522i 0.147901i
\(656\) 6.01107 12.4821i 0.234693 0.487345i
\(657\) 0.108662 + 0.0248013i 0.00423930 + 0.000967592i
\(658\) −22.8182 + 10.9886i −0.889544 + 0.428382i
\(659\) −10.8229 22.4740i −0.421601 0.875463i −0.998288 0.0584978i \(-0.981369\pi\)
0.576687 0.816965i \(-0.304345\pi\)
\(660\) 2.29780 + 10.0673i 0.0894419 + 0.391871i
\(661\) 11.5039 14.4255i 0.447450 0.561085i −0.506039 0.862510i \(-0.668891\pi\)
0.953490 + 0.301425i \(0.0974624\pi\)
\(662\) 1.19076 + 1.49317i 0.0462802 + 0.0580335i
\(663\) 10.0937 44.2234i 0.392007 1.71749i
\(664\) 17.3186 3.95285i 0.672090 0.153400i
\(665\) 9.25127 7.37764i 0.358749 0.286093i
\(666\) 5.38197 0.208547
\(667\) 0 0
\(668\) 12.0344 0.465627
\(669\) 23.1832 18.4880i 0.896316 0.714788i
\(670\) 47.1482 10.7613i 1.82149 0.415744i
\(671\) −1.30266 + 5.70733i −0.0502886 + 0.220329i
\(672\) −7.62906 9.56654i −0.294298 0.369037i
\(673\) −1.54135 + 1.93279i −0.0594147 + 0.0745037i −0.810651 0.585530i \(-0.800887\pi\)
0.751236 + 0.660034i \(0.229458\pi\)
\(674\) 8.66592 + 37.9679i 0.333799 + 1.46247i
\(675\) 7.46921 + 15.5100i 0.287490 + 0.596980i
\(676\) 2.75312 1.32583i 0.105889 0.0509935i
\(677\) −12.5111 2.85557i −0.480839 0.109748i −0.0247710 0.999693i \(-0.507886\pi\)
−0.456068 + 0.889945i \(0.650743\pi\)
\(678\) −11.2959 + 23.4562i −0.433817 + 0.900831i
\(679\) 37.0344i 1.42125i
\(680\) 38.0534 + 18.3255i 1.45928 + 0.702752i
\(681\) −18.8345 15.0200i −0.721738 0.575567i
\(682\) 4.98962 + 3.97909i 0.191062 + 0.152367i
\(683\) −12.7450 6.13768i −0.487674 0.234852i 0.173854 0.984771i \(-0.444378\pi\)
−0.661529 + 0.749920i \(0.730092\pi\)
\(684\) 0.437694i 0.0167357i
\(685\) −17.1562 + 35.6252i −0.655505 + 1.36117i
\(686\) 31.7459 + 7.24579i 1.21206 + 0.276646i
\(687\) −22.8994 + 11.0278i −0.873666 + 0.420736i
\(688\) 5.82116 + 12.0878i 0.221930 + 0.460842i
\(689\) −1.88523 8.25972i −0.0718215 0.314670i
\(690\) 15.0762 18.9050i 0.573941 0.719699i
\(691\) −26.0823 32.7062i −0.992219 1.24420i −0.969660 0.244457i \(-0.921390\pi\)
−0.0225587 0.999746i \(-0.507181\pi\)
\(692\) 0.975079 4.27210i 0.0370669 0.162401i
\(693\) 3.01269 0.687628i 0.114443 0.0261208i
\(694\) 10.2779 8.19633i 0.390143 0.311129i
\(695\) 41.9787 1.59234
\(696\) 0 0
\(697\) 18.8885 0.715455
\(698\) −17.0427 + 13.5911i −0.645074 + 0.514429i
\(699\) −16.9797 + 3.87552i −0.642233 + 0.146585i
\(700\) 0.967415 4.23852i 0.0365649 0.160201i
\(701\) 24.2814 + 30.4479i 0.917094 + 1.15000i 0.988298 + 0.152538i \(0.0487446\pi\)
−0.0712034 + 0.997462i \(0.522684\pi\)
\(702\) −23.3850 + 29.3238i −0.882609 + 1.10676i
\(703\) 3.59280 + 15.7411i 0.135505 + 0.593686i
\(704\) 6.64981 + 13.8085i 0.250624 + 0.520426i
\(705\) 29.1249 14.0258i 1.09691 0.528243i
\(706\) 33.3234 + 7.60584i 1.25414 + 0.286250i
\(707\) −1.56981 + 3.25974i −0.0590386 + 0.122595i
\(708\) 5.09017i 0.191300i
\(709\) −3.14746 1.51574i −0.118206 0.0569248i 0.373846 0.927491i \(-0.378039\pi\)
−0.492052 + 0.870566i \(0.663753\pi\)
\(710\) −5.51639 4.39917i −0.207026 0.165098i
\(711\) −1.52009 1.21223i −0.0570079 0.0454623i
\(712\) 17.5438 + 8.44864i 0.657481 + 0.316626i
\(713\) 3.52786i 0.132120i
\(714\) 16.8098 34.9059i 0.629091 1.30632i
\(715\) 42.6459 + 9.73365i 1.59487 + 0.364018i
\(716\) 8.90927 4.29048i 0.332955 0.160343i
\(717\) 10.3499 + 21.4918i 0.386524 + 0.802626i
\(718\) 10.1663 + 44.5415i 0.379403 + 1.66227i
\(719\) −18.3971 + 23.0692i −0.686094 + 0.860335i −0.995900 0.0904651i \(-0.971165\pi\)
0.309805 + 0.950800i \(0.399736\pi\)
\(720\) −3.29938 4.13729i −0.122961 0.154188i
\(721\) 6.55817 28.7332i 0.244239 1.07008i
\(722\) 24.5490 5.60315i 0.913620 0.208528i
\(723\) −33.7162 + 26.8878i −1.25392 + 0.999966i
\(724\) 7.38197 0.274349
\(725\) 0 0
\(726\) −5.47214 −0.203090
\(727\) 35.9207 28.6458i 1.33222 1.06241i 0.339678 0.940542i \(-0.389682\pi\)
0.992546 0.121872i \(-0.0388896\pi\)
\(728\) −20.6493 + 4.71307i −0.765314 + 0.174678i
\(729\) 6.56583 28.7668i 0.243179 1.06544i
\(730\) 0.840168 + 1.05354i 0.0310960 + 0.0389931i
\(731\) −11.4047 + 14.3011i −0.421820 + 0.528945i
\(732\) −0.360046 1.57747i −0.0133077 0.0583048i
\(733\) −16.1319 33.4983i −0.595847 1.23729i −0.952923 0.303214i \(-0.901940\pi\)
0.357076 0.934075i \(-0.383774\pi\)
\(734\) 9.14114 4.40214i 0.337406 0.162486i
\(735\) −9.00450 2.05522i −0.332136 0.0758079i
\(736\) −4.74854 + 9.86045i −0.175034 + 0.363461i
\(737\) 37.8885i 1.39564i
\(738\) −1.58925 0.765341i −0.0585010 0.0281726i
\(739\) −6.30851 5.03087i −0.232062 0.185063i 0.500554 0.865705i \(-0.333130\pi\)
−0.732616 + 0.680642i \(0.761701\pi\)
\(740\) 12.0095 + 9.57723i 0.441477 + 0.352066i
\(741\) −11.4497 5.51388i −0.420615 0.202558i
\(742\) 7.23607i 0.265644i
\(743\) 13.3480 27.7173i 0.489690 1.01685i −0.498962 0.866624i \(-0.666285\pi\)
0.988652 0.150227i \(-0.0480004\pi\)
\(744\) 3.84538 + 0.877683i 0.140978 + 0.0321774i
\(745\) 18.9824 9.14145i 0.695462 0.334917i
\(746\) −12.9049 26.7972i −0.472480 0.981115i
\(747\) −0.675227 2.95836i −0.0247053 0.108241i
\(748\) 9.22664 11.5698i 0.337359 0.423035i
\(749\) 15.6649 + 19.6432i 0.572384 + 0.717747i
\(750\) 3.08283 13.5068i 0.112569 0.493197i
\(751\) −26.7834 + 6.11313i −0.977338 + 0.223071i −0.681219 0.732080i \(-0.738550\pi\)
−0.296120 + 0.955151i \(0.595693\pi\)
\(752\) −26.5656 + 21.1854i −0.968749 + 0.772551i
\(753\) −18.8541 −0.687082
\(754\) 0 0
\(755\) −52.3050 −1.90357
\(756\) −5.91245 + 4.71502i −0.215034 + 0.171484i
\(757\) 45.8009 10.4537i 1.66466 0.379948i 0.716462 0.697626i \(-0.245760\pi\)
0.948199 + 0.317678i \(0.102903\pi\)
\(758\) 13.5767 59.4834i 0.493128 2.16054i
\(759\) 11.8116 + 14.8112i 0.428732 + 0.537614i
\(760\) 7.37764 9.25127i 0.267615 0.335579i
\(761\) −11.0812 48.5498i −0.401692 1.75993i −0.620544 0.784172i \(-0.713088\pi\)
0.218852 0.975758i \(-0.429769\pi\)
\(762\) −2.20854 4.58608i −0.0800070 0.166136i
\(763\) −33.4792 + 16.1227i −1.21203 + 0.583681i
\(764\) 7.25122 + 1.65504i 0.262340 + 0.0598773i
\(765\) 3.13038 6.50029i 0.113179 0.235019i
\(766\) 35.8328i 1.29469i
\(767\) −19.4270 9.35553i −0.701467 0.337809i
\(768\) −17.1567 13.6820i −0.619090 0.493708i
\(769\) 19.8278 + 15.8121i 0.715008 + 0.570200i 0.911993 0.410207i \(-0.134543\pi\)
−0.196985 + 0.980407i \(0.563115\pi\)
\(770\) 33.6608 + 16.2102i 1.21305 + 0.584175i