Properties

Label 441.2.z.a.142.45
Level $441$
Weight $2$
Character 441.142
Analytic conductor $3.521$
Analytic rank $0$
Dimension $648$
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] = [441,2,Mod(4,441)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(441, base_ring=CyclotomicField(42))
 
chi = DirichletCharacter(H, H._module([14, 10]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("441.4");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 441 = 3^{2} \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 441.z (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: \(3.52140272914\)
Analytic rank: \(0\)
Dimension: \(648\)
Relative dimension: \(54\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 142.45
Character \(\chi\) \(=\) 441.142
Dual form 441.2.z.a.382.45

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.726381 - 1.85079i) q^{2} +(-1.21684 + 1.23260i) q^{3} +(-1.43168 - 1.32841i) q^{4} +(3.50416 - 1.68752i) q^{5} +(1.39738 + 3.14745i) q^{6} +(-0.412898 + 2.61333i) q^{7} +(0.0841140 - 0.0405072i) q^{8} +(-0.0385833 - 2.99975i) q^{9} +O(q^{10})\) \(q+(0.726381 - 1.85079i) q^{2} +(-1.21684 + 1.23260i) q^{3} +(-1.43168 - 1.32841i) q^{4} +(3.50416 - 1.68752i) q^{5} +(1.39738 + 3.14745i) q^{6} +(-0.412898 + 2.61333i) q^{7} +(0.0841140 - 0.0405072i) q^{8} +(-0.0385833 - 2.99975i) q^{9} +(-0.577878 - 7.71124i) q^{10} +(2.33483 + 2.92778i) q^{11} +(3.37952 - 0.148222i) q^{12} +(-1.94922 + 4.96653i) q^{13} +(4.53681 + 2.66246i) q^{14} +(-2.18399 + 6.37266i) q^{15} +(-0.305774 - 4.08027i) q^{16} +(3.80518 - 3.53069i) q^{17} +(-5.57993 - 2.10755i) q^{18} +(-0.337170 + 0.583996i) q^{19} +(-7.25856 - 2.23897i) q^{20} +(-2.71875 - 3.68895i) q^{21} +(7.11467 - 2.19458i) q^{22} +(1.10760 - 4.85272i) q^{23} +(-0.0524247 + 0.152969i) q^{24} +(6.31401 - 7.91751i) q^{25} +(7.77612 + 7.21518i) q^{26} +(3.74443 + 3.60267i) q^{27} +(4.06271 - 3.19297i) q^{28} +(-8.40130 - 2.59146i) q^{29} +(10.2080 + 8.67109i) q^{30} +(0.159191 - 0.275727i) q^{31} +(-7.59539 - 2.34287i) q^{32} +(-6.44988 - 0.684753i) q^{33} +(-3.77055 - 9.60721i) q^{34} +(2.96318 + 9.85432i) q^{35} +(-3.92965 + 4.34595i) q^{36} +(-2.32638 - 0.717592i) q^{37} +(0.835939 + 1.04823i) q^{38} +(-3.74983 - 8.44609i) q^{39} +(0.226393 - 0.283888i) q^{40} +(3.35113 + 2.28476i) q^{41} +(-8.80232 + 2.35225i) q^{42} +(1.07999 - 0.736322i) q^{43} +(0.546553 - 7.29325i) q^{44} +(-5.19733 - 10.4465i) q^{45} +(-8.17682 - 5.57486i) q^{46} +(0.160904 - 0.409978i) q^{47} +(5.40140 + 4.58815i) q^{48} +(-6.65903 - 2.15808i) q^{49} +(-10.0673 - 17.4370i) q^{50} +(-0.278395 + 8.98655i) q^{51} +(9.38824 - 4.52114i) q^{52} +(-4.50404 + 1.38931i) q^{53} +(9.38766 - 4.31324i) q^{54} +(13.1223 + 6.31936i) q^{55} +(0.0711283 + 0.236543i) q^{56} +(-0.309547 - 1.12623i) q^{57} +(-10.8988 + 13.6666i) q^{58} +(-2.78957 + 1.90189i) q^{59} +(11.5923 - 6.22239i) q^{60} +(-1.34249 + 1.24565i) q^{61} +(-0.394678 - 0.494911i) q^{62} +(7.85529 + 1.13776i) q^{63} +(-4.75102 + 5.95759i) q^{64} +(1.55072 + 20.6929i) q^{65} +(-5.95240 + 11.4400i) q^{66} +(-7.75580 + 13.4334i) q^{67} -10.1380 q^{68} +(4.63367 + 7.27023i) q^{69} +(20.3907 + 1.67377i) q^{70} +(-0.577238 + 2.52905i) q^{71} +(-0.124757 - 0.250758i) q^{72} +(13.3774 + 2.01631i) q^{73} +(-3.01795 + 3.78438i) q^{74} +(2.07593 + 17.4170i) q^{75} +(1.25851 - 0.388198i) q^{76} +(-8.61531 + 4.89281i) q^{77} +(-18.3557 + 0.805059i) q^{78} +(-1.44843 - 2.50875i) q^{79} +(-7.95700 - 13.7819i) q^{80} +(-8.99702 + 0.231481i) q^{81} +(6.66281 - 4.54263i) q^{82} +(0.980374 + 2.49795i) q^{83} +(-1.00804 + 8.89302i) q^{84} +(7.37588 - 18.7934i) q^{85} +(-0.578294 - 2.53367i) q^{86} +(13.4173 - 7.20201i) q^{87} +(0.314988 + 0.151690i) q^{88} +(-2.85347 - 7.27054i) q^{89} +(-23.1095 + 2.03102i) q^{90} +(-12.1744 - 7.14463i) q^{91} +(-8.03213 + 5.47621i) q^{92} +(0.146149 + 0.531734i) q^{93} +(-0.641904 - 0.595600i) q^{94} +(-0.195997 + 2.61540i) q^{95} +(12.1302 - 6.51114i) q^{96} +(-4.95948 + 8.59007i) q^{97} +(-8.83114 + 10.7569i) q^{98} +(8.69252 - 7.11686i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 648 q - 8 q^{2} - 13 q^{3} + 44 q^{4} + 3 q^{5} + 2 q^{6} - 7 q^{7} - 16 q^{8} - 39 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 648 q - 8 q^{2} - 13 q^{3} + 44 q^{4} + 3 q^{5} + 2 q^{6} - 7 q^{7} - 16 q^{8} - 39 q^{9} - 22 q^{10} - 5 q^{11} + 2 q^{12} - 4 q^{13} + 52 q^{14} - 4 q^{15} + 38 q^{16} - 37 q^{17} - 16 q^{18} - 14 q^{19} - 11 q^{20} - 6 q^{21} - q^{22} - 20 q^{23} - 26 q^{24} - 97 q^{25} - 44 q^{26} + 14 q^{27} - 22 q^{28} - 53 q^{29} - 9 q^{30} + 10 q^{31} - 10 q^{32} + 2 q^{33} - 7 q^{34} - 32 q^{35} - 22 q^{36} - 39 q^{37} + 59 q^{38} - 26 q^{39} - 19 q^{40} - 17 q^{41} - 83 q^{42} - q^{43} - 31 q^{44} + 81 q^{45} + 56 q^{46} + 50 q^{47} - 23 q^{48} - 19 q^{49} - 21 q^{50} - 30 q^{51} - 9 q^{52} + 50 q^{53} + 48 q^{54} + 20 q^{55} - 239 q^{56} + 33 q^{57} + 17 q^{58} - 37 q^{59} - 152 q^{60} - 105 q^{61} - 30 q^{62} + 6 q^{63} - 88 q^{64} - 5 q^{65} - 99 q^{66} + 13 q^{67} - 290 q^{68} + 64 q^{69} + 17 q^{70} - 19 q^{71} + 11 q^{72} - 40 q^{73} - 57 q^{74} + 69 q^{75} - 41 q^{76} + 19 q^{77} + 81 q^{78} + 13 q^{79} + 163 q^{80} - 179 q^{81} - 28 q^{82} + 73 q^{83} - 341 q^{84} - 10 q^{85} + 15 q^{86} + 13 q^{87} - 13 q^{88} - 104 q^{89} + 171 q^{90} - 49 q^{91} - 91 q^{92} - 275 q^{93} - 4 q^{94} - 29 q^{95} + 231 q^{96} - 11 q^{97} - 33 q^{98} + 62 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).

\(n\) \(199\) \(344\)
\(\chi(n)\) \(e\left(\frac{4}{21}\right)\) \(e\left(\frac{2}{3}\right)\)

Coefficient data

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



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.726381 1.85079i 0.513629 1.30870i −0.405265 0.914199i \(-0.632821\pi\)
0.918894 0.394505i \(-0.129084\pi\)
\(3\) −1.21684 + 1.23260i −0.702545 + 0.711639i
\(4\) −1.43168 1.32841i −0.715841 0.664204i
\(5\) 3.50416 1.68752i 1.56711 0.754680i 0.569383 0.822072i \(-0.307182\pi\)
0.997727 + 0.0673918i \(0.0214677\pi\)
\(6\) 1.39738 + 3.14745i 0.570478 + 1.28494i
\(7\) −0.412898 + 2.61333i −0.156061 + 0.987747i
\(8\) 0.0841140 0.0405072i 0.0297388 0.0143215i
\(9\) −0.0385833 2.99975i −0.0128611 0.999917i
\(10\) −0.577878 7.71124i −0.182741 2.43851i
\(11\) 2.33483 + 2.92778i 0.703976 + 0.882759i 0.997314 0.0732505i \(-0.0233373\pi\)
−0.293337 + 0.956009i \(0.594766\pi\)
\(12\) 3.37952 0.148222i 0.975584 0.0427879i
\(13\) −1.94922 + 4.96653i −0.540616 + 1.37747i 0.355928 + 0.934513i \(0.384165\pi\)
−0.896544 + 0.442954i \(0.853930\pi\)
\(14\) 4.53681 + 2.66246i 1.21251 + 0.711573i
\(15\) −2.18399 + 6.37266i −0.563905 + 1.64541i
\(16\) −0.305774 4.08027i −0.0764434 1.02007i
\(17\) 3.80518 3.53069i 0.922892 0.856319i −0.0670560 0.997749i \(-0.521361\pi\)
0.989948 + 0.141430i \(0.0451701\pi\)
\(18\) −5.57993 2.10755i −1.31520 0.496755i
\(19\) −0.337170 + 0.583996i −0.0773522 + 0.133978i −0.902107 0.431513i \(-0.857980\pi\)
0.824755 + 0.565491i \(0.191313\pi\)
\(20\) −7.25856 2.23897i −1.62306 0.500649i
\(21\) −2.71875 3.68895i −0.593280 0.804996i
\(22\) 7.11467 2.19458i 1.51685 0.467887i
\(23\) 1.10760 4.85272i 0.230951 1.01186i −0.717902 0.696144i \(-0.754897\pi\)
0.948853 0.315718i \(-0.102245\pi\)
\(24\) −0.0524247 + 0.152969i −0.0107011 + 0.0312248i
\(25\) 6.31401 7.91751i 1.26280 1.58350i
\(26\) 7.77612 + 7.21518i 1.52502 + 1.41501i
\(27\) 3.74443 + 3.60267i 0.720616 + 0.693334i
\(28\) 4.06271 3.19297i 0.767780 0.603414i
\(29\) −8.40130 2.59146i −1.56008 0.481222i −0.609785 0.792567i \(-0.708744\pi\)
−0.950297 + 0.311345i \(0.899221\pi\)
\(30\) 10.2080 + 8.67109i 1.86372 + 1.58312i
\(31\) 0.159191 0.275727i 0.0285915 0.0495220i −0.851376 0.524557i \(-0.824231\pi\)
0.879967 + 0.475035i \(0.157564\pi\)
\(32\) −7.59539 2.34287i −1.34269 0.414164i
\(33\) −6.44988 0.684753i −1.12278 0.119200i
\(34\) −3.77055 9.60721i −0.646644 1.64762i
\(35\) 2.96318 + 9.85432i 0.500870 + 1.66568i
\(36\) −3.92965 + 4.34595i −0.654942 + 0.724324i
\(37\) −2.32638 0.717592i −0.382454 0.117971i 0.0975659 0.995229i \(-0.468894\pi\)
−0.480020 + 0.877258i \(0.659371\pi\)
\(38\) 0.835939 + 1.04823i 0.135607 + 0.170046i
\(39\) −3.74983 8.44609i −0.600453 1.35246i
\(40\) 0.226393 0.283888i 0.0357959 0.0448866i
\(41\) 3.35113 + 2.28476i 0.523359 + 0.356820i 0.796001 0.605295i \(-0.206945\pi\)
−0.272642 + 0.962116i \(0.587897\pi\)
\(42\) −8.80232 + 2.35225i −1.35823 + 0.362960i
\(43\) 1.07999 0.736322i 0.164696 0.112288i −0.478167 0.878269i \(-0.658699\pi\)
0.642863 + 0.765981i \(0.277746\pi\)
\(44\) 0.546553 7.29325i 0.0823960 1.09950i
\(45\) −5.19733 10.4465i −0.774773 1.55727i
\(46\) −8.17682 5.57486i −1.20561 0.821968i
\(47\) 0.160904 0.409978i 0.0234703 0.0598014i −0.918658 0.395053i \(-0.870726\pi\)
0.942129 + 0.335252i \(0.108821\pi\)
\(48\) 5.40140 + 4.58815i 0.779624 + 0.662242i
\(49\) −6.65903 2.15808i −0.951290 0.308297i
\(50\) −10.0673 17.4370i −1.42373 2.46597i
\(51\) −0.278395 + 8.98655i −0.0389831 + 1.25837i
\(52\) 9.38824 4.52114i 1.30191 0.626969i
\(53\) −4.50404 + 1.38931i −0.618677 + 0.190837i −0.588222 0.808699i \(-0.700172\pi\)
−0.0304552 + 0.999536i \(0.509696\pi\)
\(54\) 9.38766 4.31324i 1.27750 0.586957i
\(55\) 13.1223 + 6.31936i 1.76941 + 0.852102i
\(56\) 0.0711283 + 0.236543i 0.00950492 + 0.0316094i
\(57\) −0.309547 1.12623i −0.0410006 0.149172i
\(58\) −10.8988 + 13.6666i −1.43108 + 1.79452i
\(59\) −2.78957 + 1.90189i −0.363171 + 0.247606i −0.731133 0.682235i \(-0.761008\pi\)
0.367962 + 0.929841i \(0.380056\pi\)
\(60\) 11.5923 6.22239i 1.49656 0.803307i
\(61\) −1.34249 + 1.24565i −0.171888 + 0.159489i −0.761426 0.648252i \(-0.775500\pi\)
0.589538 + 0.807741i \(0.299310\pi\)
\(62\) −0.394678 0.494911i −0.0501242 0.0628538i
\(63\) 7.85529 + 1.13776i 0.989673 + 0.143344i
\(64\) −4.75102 + 5.95759i −0.593877 + 0.744699i
\(65\) 1.55072 + 20.6929i 0.192343 + 2.56664i
\(66\) −5.95240 + 11.4400i −0.732690 + 1.40816i
\(67\) −7.75580 + 13.4334i −0.947522 + 1.64116i −0.196901 + 0.980423i \(0.563088\pi\)
−0.750621 + 0.660733i \(0.770246\pi\)
\(68\) −10.1380 −1.22941
\(69\) 4.63367 + 7.27023i 0.557828 + 0.875233i
\(70\) 20.3907 + 1.67377i 2.43715 + 0.200053i
\(71\) −0.577238 + 2.52905i −0.0685056 + 0.300142i −0.997561 0.0697976i \(-0.977765\pi\)
0.929056 + 0.369940i \(0.120622\pi\)
\(72\) −0.124757 0.250758i −0.0147027 0.0295522i
\(73\) 13.3774 + 2.01631i 1.56570 + 0.235992i 0.873904 0.486099i \(-0.161581\pi\)
0.691798 + 0.722091i \(0.256819\pi\)
\(74\) −3.01795 + 3.78438i −0.350829 + 0.439926i
\(75\) 2.07593 + 17.4170i 0.239708 + 2.01114i
\(76\) 1.25851 0.388198i 0.144360 0.0445293i
\(77\) −8.61531 + 4.89281i −0.981806 + 0.557587i
\(78\) −18.3557 + 0.805059i −2.07838 + 0.0911549i
\(79\) −1.44843 2.50875i −0.162961 0.282257i 0.772968 0.634445i \(-0.218771\pi\)
−0.935929 + 0.352188i \(0.885438\pi\)
\(80\) −7.95700 13.7819i −0.889619 1.54087i
\(81\) −8.99702 + 0.231481i −0.999669 + 0.0257201i
\(82\) 6.66281 4.54263i 0.735784 0.501649i
\(83\) 0.980374 + 2.49795i 0.107610 + 0.274186i 0.974528 0.224264i \(-0.0719979\pi\)
−0.866918 + 0.498450i \(0.833903\pi\)
\(84\) −1.00804 + 8.89302i −0.109987 + 0.970308i
\(85\) 7.37588 18.7934i 0.800027 2.03843i
\(86\) −0.578294 2.53367i −0.0623591 0.273213i
\(87\) 13.4173 7.20201i 1.43848 0.772136i
\(88\) 0.314988 + 0.151690i 0.0335778 + 0.0161702i
\(89\) −2.85347 7.27054i −0.302468 0.770675i −0.998607 0.0527682i \(-0.983196\pi\)
0.696139 0.717907i \(-0.254900\pi\)
\(90\) −23.1095 + 2.03102i −2.43596 + 0.214088i
\(91\) −12.1744 7.14463i −1.27622 0.748961i
\(92\) −8.03213 + 5.47621i −0.837407 + 0.570934i
\(93\) 0.146149 + 0.531734i 0.0151550 + 0.0551383i
\(94\) −0.641904 0.595600i −0.0662073 0.0614314i
\(95\) −0.195997 + 2.61540i −0.0201089 + 0.268334i
\(96\) 12.1302 6.51114i 1.23803 0.664541i
\(97\) −4.95948 + 8.59007i −0.503559 + 0.872189i 0.496433 + 0.868075i \(0.334643\pi\)
−0.999992 + 0.00411401i \(0.998690\pi\)
\(98\) −8.83114 + 10.7569i −0.892079 + 1.08661i
\(99\) 8.69252 7.11686i 0.873632 0.715271i
\(100\) −19.5573 + 2.94779i −1.95573 + 0.294779i
\(101\) −9.67712 + 4.66025i −0.962909 + 0.463713i −0.848194 0.529686i \(-0.822310\pi\)
−0.114715 + 0.993398i \(0.536596\pi\)
\(102\) 16.4300 + 7.04291i 1.62681 + 0.697352i
\(103\) −8.13858 + 3.91933i −0.801918 + 0.386183i −0.789508 0.613740i \(-0.789664\pi\)
−0.0124093 + 0.999923i \(0.503950\pi\)
\(104\) 0.0372234 + 0.496712i 0.00365006 + 0.0487066i
\(105\) −15.7521 8.33876i −1.53725 0.813780i
\(106\) −0.700325 + 9.34519i −0.0680216 + 0.907685i
\(107\) −0.113760 0.289855i −0.0109976 0.0280213i 0.925270 0.379310i \(-0.123839\pi\)
−0.936267 + 0.351289i \(0.885743\pi\)
\(108\) −0.575021 10.1320i −0.0553314 0.974953i
\(109\) 5.62014 14.3199i 0.538312 1.37160i −0.360294 0.932839i \(-0.617324\pi\)
0.898606 0.438757i \(-0.144581\pi\)
\(110\) 21.2276 19.6963i 2.02397 1.87797i
\(111\) 3.71534 1.99428i 0.352644 0.189289i
\(112\) 10.7894 + 0.885643i 1.01950 + 0.0836854i
\(113\) −12.9981 1.95915i −1.22276 0.184302i −0.494241 0.869325i \(-0.664554\pi\)
−0.728521 + 0.685024i \(0.759792\pi\)
\(114\) −2.30926 0.245163i −0.216282 0.0229616i
\(115\) −4.30783 18.8738i −0.401707 1.75999i
\(116\) 8.58548 + 14.8705i 0.797142 + 1.38069i
\(117\) 14.9736 + 5.65555i 1.38431 + 0.522856i
\(118\) 1.49372 + 6.54439i 0.137508 + 0.602460i
\(119\) 7.65573 + 11.4020i 0.701800 + 1.04522i
\(120\) 0.0744340 + 0.624498i 0.00679486 + 0.0570086i
\(121\) −0.672748 + 2.94750i −0.0611589 + 0.267955i
\(122\) 1.33027 + 3.38947i 0.120437 + 0.306868i
\(123\) −6.89399 + 1.35039i −0.621611 + 0.121761i
\(124\) −0.594188 + 0.183283i −0.0533597 + 0.0164593i
\(125\) 4.43709 19.4402i 0.396866 1.73878i
\(126\) 7.81168 13.7120i 0.695920 1.22156i
\(127\) −1.62941 7.13892i −0.144587 0.633477i −0.994335 0.106288i \(-0.966103\pi\)
0.849748 0.527188i \(-0.176754\pi\)
\(128\) −0.373335 0.646636i −0.0329985 0.0571551i
\(129\) −0.406587 + 2.22717i −0.0357980 + 0.196092i
\(130\) 39.4245 + 12.1609i 3.45776 + 1.06658i
\(131\) 0.995677 + 0.479493i 0.0869927 + 0.0418935i 0.476874 0.878972i \(-0.341770\pi\)
−0.389881 + 0.920865i \(0.627484\pi\)
\(132\) 8.32456 + 9.54842i 0.724560 + 0.831083i
\(133\) −1.38696 1.12227i −0.120265 0.0973131i
\(134\) 19.2288 + 24.1121i 1.66111 + 2.08297i
\(135\) 19.2007 + 6.30556i 1.65253 + 0.542696i
\(136\) 0.177051 0.451118i 0.0151820 0.0386831i
\(137\) 17.8705 + 8.60596i 1.52678 + 0.735257i 0.993832 0.110893i \(-0.0353711\pi\)
0.532945 + 0.846150i \(0.321085\pi\)
\(138\) 16.8215 3.29498i 1.43194 0.280487i
\(139\) −0.468769 0.319601i −0.0397604 0.0271082i 0.543277 0.839554i \(-0.317183\pi\)
−0.583037 + 0.812445i \(0.698136\pi\)
\(140\) 8.84822 18.0446i 0.747811 1.52505i
\(141\) 0.309541 + 0.697209i 0.0260681 + 0.0587155i
\(142\) 4.26143 + 2.90539i 0.357611 + 0.243815i
\(143\) −19.0920 + 5.88910i −1.59655 + 0.492471i
\(144\) −12.2280 + 1.07468i −1.01900 + 0.0895563i
\(145\) −33.8127 + 5.09644i −2.80799 + 0.423236i
\(146\) 13.4488 23.2941i 1.11303 1.92783i
\(147\) 10.7630 5.58185i 0.887720 0.460383i
\(148\) 2.37738 + 4.11774i 0.195419 + 0.338476i
\(149\) −5.57172 6.98671i −0.456453 0.572374i 0.499343 0.866404i \(-0.333575\pi\)
−0.955796 + 0.294031i \(0.905003\pi\)
\(150\) 33.7431 + 8.80925i 2.75511 + 0.719273i
\(151\) −2.74733 + 12.0368i −0.223575 + 0.979544i 0.731188 + 0.682176i \(0.238966\pi\)
−0.954763 + 0.297368i \(0.903891\pi\)
\(152\) −0.00470472 + 0.0627801i −0.000381603 + 0.00509214i
\(153\) −10.7380 11.2784i −0.868117 0.911803i
\(154\) 2.79755 + 19.4991i 0.225433 + 1.57129i
\(155\) 0.0925376 1.23483i 0.00743280 0.0991839i
\(156\) −5.85128 + 17.0734i −0.468478 + 1.36697i
\(157\) 2.43814 1.66230i 0.194585 0.132666i −0.462108 0.886823i \(-0.652907\pi\)
0.656693 + 0.754158i \(0.271955\pi\)
\(158\) −5.69528 + 0.858425i −0.453092 + 0.0682926i
\(159\) 3.76825 7.24223i 0.298842 0.574346i
\(160\) −30.5691 + 4.60755i −2.41670 + 0.364259i
\(161\) 12.2245 + 4.89821i 0.963422 + 0.386033i
\(162\) −6.10684 + 16.8197i −0.479799 + 1.32148i
\(163\) −0.613370 + 0.418189i −0.0480429 + 0.0327551i −0.587103 0.809512i \(-0.699732\pi\)
0.539061 + 0.842267i \(0.318779\pi\)
\(164\) −1.76266 7.72273i −0.137641 0.603044i
\(165\) −23.7570 + 8.48480i −1.84948 + 0.660541i
\(166\) 5.33530 0.414100
\(167\) 11.5537 10.7202i 0.894049 0.829556i −0.0920435 0.995755i \(-0.529340\pi\)
0.986092 + 0.166199i \(0.0531494\pi\)
\(168\) −0.378114 0.200164i −0.0291722 0.0154430i
\(169\) −11.3373 10.5195i −0.872099 0.809190i
\(170\) −29.4250 27.3024i −2.25679 2.09400i
\(171\) 1.76485 + 0.988895i 0.134962 + 0.0756227i
\(172\) −2.52433 0.380482i −0.192478 0.0290115i
\(173\) −4.92247 + 1.51838i −0.374249 + 0.115440i −0.476173 0.879352i \(-0.657976\pi\)
0.101924 + 0.994792i \(0.467500\pi\)
\(174\) −3.58333 30.0639i −0.271651 2.27914i
\(175\) 18.0841 + 19.7697i 1.36703 + 1.49445i
\(176\) 11.2322 10.4219i 0.846658 0.785584i
\(177\) 1.05020 5.75271i 0.0789378 0.432400i
\(178\) −15.5289 −1.16394
\(179\) −6.53205 + 6.06086i −0.488229 + 0.453010i −0.885465 0.464707i \(-0.846160\pi\)
0.397236 + 0.917716i \(0.369969\pi\)
\(180\) −6.43629 + 21.8603i −0.479733 + 1.62937i
\(181\) −3.10629 + 3.89517i −0.230889 + 0.289525i −0.883757 0.467946i \(-0.844994\pi\)
0.652868 + 0.757472i \(0.273566\pi\)
\(182\) −22.0664 + 17.3425i −1.63567 + 1.28551i
\(183\) 0.0982192 3.17050i 0.00726057 0.234370i
\(184\) −0.103405 0.453048i −0.00762314 0.0333991i
\(185\) −9.36295 + 1.41124i −0.688378 + 0.103756i
\(186\) 1.09029 + 0.115751i 0.0799437 + 0.00848724i
\(187\) 19.2215 + 2.89718i 1.40562 + 0.211863i
\(188\) −0.774981 + 0.373211i −0.0565213 + 0.0272192i
\(189\) −10.9611 + 8.29791i −0.797299 + 0.603584i
\(190\) 4.69818 + 2.26252i 0.340842 + 0.164141i
\(191\) −22.1063 15.0718i −1.59955 1.09056i −0.941201 0.337847i \(-0.890301\pi\)
−0.658353 0.752710i \(-0.728746\pi\)
\(192\) −1.56205 13.1055i −0.112731 0.945811i
\(193\) 0.843644 11.2577i 0.0607268 0.810343i −0.880818 0.473455i \(-0.843007\pi\)
0.941545 0.336888i \(-0.109374\pi\)
\(194\) 12.2959 + 15.4186i 0.882796 + 1.10699i
\(195\) −27.3929 23.2686i −1.96165 1.66630i
\(196\) 6.66681 + 11.9356i 0.476201 + 0.852542i
\(197\) 14.4656 1.03063 0.515316 0.857000i \(-0.327675\pi\)
0.515316 + 0.857000i \(0.327675\pi\)
\(198\) −6.85772 21.2576i −0.487357 1.51071i
\(199\) 5.47896 + 3.73549i 0.388393 + 0.264802i 0.741736 0.670692i \(-0.234003\pi\)
−0.353343 + 0.935494i \(0.614955\pi\)
\(200\) 0.210380 0.921737i 0.0148761 0.0651766i
\(201\) −7.12040 25.9062i −0.502235 1.82728i
\(202\) 1.59587 + 21.2954i 0.112285 + 1.49834i
\(203\) 10.2412 20.8854i 0.718793 1.46587i
\(204\) 12.3364 12.4961i 0.863719 0.874900i
\(205\) 15.5985 + 2.35110i 1.08945 + 0.164208i
\(206\) 1.34215 + 17.9097i 0.0935118 + 1.24783i
\(207\) −14.5997 3.13530i −1.01475 0.217918i
\(208\) 20.8608 + 6.43470i 1.44644 + 0.446166i
\(209\) −2.49705 + 0.376369i −0.172724 + 0.0260340i
\(210\) −26.8753 + 23.0967i −1.85457 + 1.59383i
\(211\) −22.8339 3.44166i −1.57195 0.236934i −0.695538 0.718489i \(-0.744834\pi\)
−0.876416 + 0.481555i \(0.840072\pi\)
\(212\) 8.29392 + 3.99414i 0.569629 + 0.274319i
\(213\) −2.41488 3.78895i −0.165465 0.259615i
\(214\) −0.619092 −0.0423203
\(215\) 2.54189 4.40269i 0.173356 0.300261i
\(216\) 0.460893 + 0.151359i 0.0313598 + 0.0102987i
\(217\) 0.654837 + 0.529866i 0.0444532 + 0.0359696i
\(218\) −22.4207 20.8034i −1.51852 1.40898i
\(219\) −18.7635 + 14.0353i −1.26792 + 0.948421i
\(220\) −10.3923 26.4791i −0.700646 1.78522i
\(221\) 10.1182 + 25.7806i 0.680621 + 1.73419i
\(222\) −0.992247 8.32491i −0.0665953 0.558731i
\(223\) 3.22996 + 2.99697i 0.216294 + 0.200692i 0.780877 0.624685i \(-0.214772\pi\)
−0.564583 + 0.825376i \(0.690963\pi\)
\(224\) 9.25881 18.8819i 0.618631 1.26160i
\(225\) −23.9942 18.6350i −1.59961 1.24233i
\(226\) −13.0676 + 22.6337i −0.869242 + 1.50557i
\(227\) 15.0591 0.999510 0.499755 0.866167i \(-0.333423\pi\)
0.499755 + 0.866167i \(0.333423\pi\)
\(228\) −1.05291 + 2.02360i −0.0697309 + 0.134016i
\(229\) −15.9126 7.66313i −1.05154 0.506394i −0.173424 0.984847i \(-0.555483\pi\)
−0.878113 + 0.478453i \(0.841198\pi\)
\(230\) −38.0606 5.73671i −2.50964 0.378267i
\(231\) 4.45263 16.5730i 0.292962 1.09042i
\(232\) −0.811640 + 0.122335i −0.0532868 + 0.00803169i
\(233\) 27.1596 + 8.37762i 1.77928 + 0.548836i 0.997230 0.0743750i \(-0.0236962\pi\)
0.782053 + 0.623211i \(0.214172\pi\)
\(234\) 21.3437 23.6048i 1.39528 1.54309i
\(235\) −0.128009 1.70816i −0.00835037 0.111428i
\(236\) 6.52026 + 0.982771i 0.424433 + 0.0639730i
\(237\) 4.85479 + 1.26743i 0.315352 + 0.0823286i
\(238\) 26.6637 5.88692i 1.72835 0.381592i
\(239\) 0.672220 + 8.97015i 0.0434823 + 0.580231i 0.975811 + 0.218618i \(0.0701548\pi\)
−0.932328 + 0.361613i \(0.882226\pi\)
\(240\) 26.6700 + 6.96269i 1.72154 + 0.449440i
\(241\) −2.59733 + 11.3797i −0.167309 + 0.733029i 0.819757 + 0.572712i \(0.194109\pi\)
−0.987066 + 0.160317i \(0.948748\pi\)
\(242\) 4.96653 + 3.38612i 0.319260 + 0.217668i
\(243\) 10.6626 11.3714i 0.684009 0.729473i
\(244\) 3.57674 0.228977
\(245\) −26.9761 + 3.67496i −1.72344 + 0.234785i
\(246\) −2.50838 + 13.7402i −0.159928 + 0.876044i
\(247\) −2.24322 2.81290i −0.142732 0.178981i
\(248\) 0.00222128 0.0296409i 0.000141051 0.00188220i
\(249\) −4.27192 1.83121i −0.270722 0.116048i
\(250\) −32.7566 22.3331i −2.07171 1.41247i
\(251\) 4.97014 + 2.39349i 0.313713 + 0.151076i 0.584114 0.811672i \(-0.301442\pi\)
−0.270401 + 0.962748i \(0.587156\pi\)
\(252\) −9.73487 12.0639i −0.613239 0.759956i
\(253\) 16.7938 8.08745i 1.05581 0.508453i
\(254\) −14.3962 2.16988i −0.903298 0.136150i
\(255\) 14.1894 + 31.9602i 0.888576 + 2.00142i
\(256\) −16.5378 + 2.49268i −1.03361 + 0.155792i
\(257\) −0.943774 4.13494i −0.0588710 0.257931i 0.936925 0.349531i \(-0.113659\pi\)
−0.995796 + 0.0916001i \(0.970802\pi\)
\(258\) 3.82669 + 2.37028i 0.238239 + 0.147567i
\(259\) 2.83586 5.78331i 0.176212 0.359357i
\(260\) 25.2684 31.6856i 1.56708 1.96506i
\(261\) −7.44958 + 25.3018i −0.461117 + 1.56614i
\(262\) 1.61068 1.49449i 0.0995081 0.0923301i
\(263\) 13.0508 0.804745 0.402372 0.915476i \(-0.368186\pi\)
0.402372 + 0.915476i \(0.368186\pi\)
\(264\) −0.570263 + 0.203669i −0.0350973 + 0.0125350i
\(265\) −13.4384 + 12.4690i −0.825515 + 0.765966i
\(266\) −3.08454 + 1.75177i −0.189125 + 0.107408i
\(267\) 12.4339 + 5.32992i 0.760940 + 0.326186i
\(268\) 28.9489 8.92956i 1.76834 0.545460i
\(269\) −1.33429 0.201112i −0.0813532 0.0122620i 0.108240 0.994125i \(-0.465479\pi\)
−0.189593 + 0.981863i \(0.560717\pi\)
\(270\) 25.6173 30.9561i 1.55902 1.88393i
\(271\) −5.87653 5.45262i −0.356974 0.331223i 0.481216 0.876602i \(-0.340195\pi\)
−0.838190 + 0.545379i \(0.816386\pi\)
\(272\) −15.5697 14.4466i −0.944051 0.875952i
\(273\) 23.6207 6.31218i 1.42959 0.382031i
\(274\) 28.9086 26.8232i 1.74643 1.62045i
\(275\) 37.9228 2.28683
\(276\) 3.02389 16.5641i 0.182017 0.997039i
\(277\) −4.14426 18.1572i −0.249005 1.09096i −0.932547 0.361050i \(-0.882418\pi\)
0.683542 0.729911i \(-0.260439\pi\)
\(278\) −0.932018 + 0.635439i −0.0558987 + 0.0381111i
\(279\) −0.833254 0.466895i −0.0498856 0.0279523i
\(280\) 0.648416 + 0.708857i 0.0387503 + 0.0423623i
\(281\) 16.5757 2.49839i 0.988824 0.149041i 0.365337 0.930875i \(-0.380954\pi\)
0.623487 + 0.781834i \(0.285716\pi\)
\(282\) 1.51523 0.0664561i 0.0902306 0.00395740i
\(283\) −17.2304 + 2.59706i −1.02424 + 0.154379i −0.639617 0.768694i \(-0.720907\pi\)
−0.384624 + 0.923074i \(0.625669\pi\)
\(284\) 4.18602 2.85398i 0.248395 0.169353i
\(285\) −2.98523 3.42412i −0.176830 0.202827i
\(286\) −2.96858 + 39.6129i −0.175536 + 2.34236i
\(287\) −7.35453 + 7.81426i −0.434124 + 0.461261i
\(288\) −6.73497 + 22.8747i −0.396862 + 1.34790i
\(289\) 0.743206 9.91740i 0.0437180 0.583376i
\(290\) −15.1284 + 66.2820i −0.888372 + 3.89221i
\(291\) −4.55317 16.5658i −0.266912 0.971104i
\(292\) −16.4737 20.6573i −0.964048 1.20888i
\(293\) 12.9539 + 22.4368i 0.756775 + 1.31077i 0.944487 + 0.328549i \(0.106559\pi\)
−0.187712 + 0.982224i \(0.560107\pi\)
\(294\) −2.51275 23.9746i −0.146547 1.39823i
\(295\) −6.56562 + 11.3720i −0.382265 + 0.662103i
\(296\) −0.224749 + 0.0338754i −0.0130632 + 0.00196897i
\(297\) −1.80523 + 19.3745i −0.104750 + 1.12422i
\(298\) −16.9781 + 5.23705i −0.983515 + 0.303374i
\(299\) 21.9422 + 14.9600i 1.26895 + 0.865157i
\(300\) 20.1648 27.6933i 1.16421 1.59887i
\(301\) 1.47833 + 3.12639i 0.0852096 + 0.180202i
\(302\) 20.2820 + 13.8281i 1.16710 + 0.795715i
\(303\) 6.03133 17.5988i 0.346491 1.01102i
\(304\) 2.48596 + 1.19717i 0.142579 + 0.0686626i
\(305\) −2.60225 + 6.63042i −0.149004 + 0.379656i
\(306\) −28.6738 + 11.6814i −1.63917 + 0.667781i
\(307\) −17.6389 22.1185i −1.00671 1.26237i −0.964727 0.263251i \(-0.915205\pi\)
−0.0419787 0.999119i \(-0.513366\pi\)
\(308\) 18.8340 + 4.43969i 1.07317 + 0.252975i
\(309\) 5.07242 14.8008i 0.288560 0.841987i
\(310\) −2.21819 1.06822i −0.125985 0.0606710i
\(311\) −22.4765 6.93308i −1.27452 0.393139i −0.417624 0.908620i \(-0.637137\pi\)
−0.856901 + 0.515481i \(0.827613\pi\)
\(312\) −0.657540 0.558540i −0.0372259 0.0316211i
\(313\) 4.93147 + 8.54155i 0.278743 + 0.482797i 0.971073 0.238784i \(-0.0767489\pi\)
−0.692330 + 0.721581i \(0.743416\pi\)
\(314\) −1.30554 5.71995i −0.0736759 0.322795i
\(315\) 29.4462 9.26903i 1.65911 0.522251i
\(316\) −1.25895 + 5.51584i −0.0708217 + 0.310290i
\(317\) 2.40315 0.741274i 0.134975 0.0416341i −0.226532 0.974004i \(-0.572739\pi\)
0.361506 + 0.932370i \(0.382263\pi\)
\(318\) −10.6667 12.2348i −0.598156 0.686096i
\(319\) −12.0284 30.6478i −0.673459 1.71594i
\(320\) −6.59482 + 28.8938i −0.368662 + 1.61521i
\(321\) 0.495701 + 0.212488i 0.0276673 + 0.0118599i
\(322\) 17.9452 19.0669i 1.00004 1.06256i
\(323\) 0.778917 + 3.41266i 0.0433401 + 0.189885i
\(324\) 13.1884 + 11.6203i 0.732688 + 0.645572i
\(325\) 27.0152 + 46.7917i 1.49853 + 2.59553i
\(326\) 0.328438 + 1.43898i 0.0181905 + 0.0796979i
\(327\) 10.8118 + 24.3524i 0.597893 + 1.34669i
\(328\) 0.374427 + 0.0564357i 0.0206743 + 0.00311614i
\(329\) 1.00497 + 0.589776i 0.0554059 + 0.0325154i
\(330\) −1.55305 + 50.1323i −0.0854928 + 2.75969i
\(331\) 22.0220 20.4334i 1.21044 1.12312i 0.221441 0.975174i \(-0.428924\pi\)
0.988995 0.147947i \(-0.0472664\pi\)
\(332\) 1.91471 4.87861i 0.105084 0.267748i
\(333\) −2.06284 + 7.00624i −0.113043 + 0.383940i
\(334\) −11.4485 29.1703i −0.626435 1.59613i
\(335\) −4.50845 + 60.1610i −0.246323 + 3.28695i
\(336\) −14.2206 + 12.2212i −0.775797 + 0.666722i
\(337\) −1.52523 20.3528i −0.0830848 1.10869i −0.870468 0.492225i \(-0.836184\pi\)
0.787383 0.616464i \(-0.211435\pi\)
\(338\) −27.7045 + 13.3418i −1.50693 + 0.725697i
\(339\) 18.2315 13.6375i 0.990201 0.740685i
\(340\) −35.5253 + 17.1081i −1.92663 + 0.927815i
\(341\) 1.17895 0.177698i 0.0638437 0.00962289i
\(342\) 3.11219 2.54805i 0.168288 0.137783i
\(343\) 8.38928 16.5112i 0.452978 0.891521i
\(344\) 0.0610156 0.105682i 0.00328974 0.00569800i
\(345\) 28.5058 + 17.6567i 1.53470 + 0.950604i
\(346\) −0.765387 + 10.2134i −0.0411474 + 0.549075i
\(347\) −11.9175 11.0579i −0.639767 0.593617i 0.292113 0.956384i \(-0.405642\pi\)
−0.931880 + 0.362767i \(0.881832\pi\)
\(348\) −28.7765 7.51264i −1.54258 0.402720i
\(349\) 3.58270 2.44264i 0.191777 0.130752i −0.463625 0.886032i \(-0.653451\pi\)
0.655402 + 0.755280i \(0.272499\pi\)
\(350\) 49.7255 19.1094i 2.65794 1.02144i
\(351\) −25.1915 + 11.5744i −1.34462 + 0.617797i
\(352\) −10.8745 27.7078i −0.579614 1.47683i
\(353\) 4.50981 + 2.17181i 0.240033 + 0.115594i 0.550034 0.835143i \(-0.314615\pi\)
−0.310000 + 0.950736i \(0.600329\pi\)
\(354\) −9.88421 6.12236i −0.525340 0.325400i
\(355\) 2.24507 + 9.83629i 0.119156 + 0.522056i
\(356\) −5.57296 + 14.1997i −0.295366 + 0.752581i
\(357\) −23.3699 4.43806i −1.23687 0.234887i
\(358\) 6.47261 + 16.4919i 0.342088 + 0.871626i
\(359\) 14.4139 9.82721i 0.760735 0.518660i −0.119710 0.992809i \(-0.538196\pi\)
0.880445 + 0.474149i \(0.157244\pi\)
\(360\) −0.860328 0.668169i −0.0453432 0.0352156i
\(361\) 9.27263 + 16.0607i 0.488033 + 0.845298i
\(362\) 4.95278 + 8.57846i 0.260312 + 0.450874i
\(363\) −2.81445 4.41587i −0.147720 0.231773i
\(364\) 7.93886 + 26.4014i 0.416109 + 1.38381i
\(365\) 50.2791 15.5090i 2.63173 0.811780i
\(366\) −5.79658 2.48477i −0.302992 0.129881i
\(367\) −8.27526 + 10.3768i −0.431965 + 0.541667i −0.949406 0.314052i \(-0.898313\pi\)
0.517441 + 0.855719i \(0.326885\pi\)
\(368\) −20.1391 3.03548i −1.04982 0.158235i
\(369\) 6.72443 10.1407i 0.350060 0.527905i
\(370\) −4.18917 + 18.3539i −0.217784 + 0.954176i
\(371\) −1.77103 12.3442i −0.0919473 0.640879i
\(372\) 0.497121 0.955420i 0.0257745 0.0495362i
\(373\) 25.4843 1.31953 0.659764 0.751473i \(-0.270656\pi\)
0.659764 + 0.751473i \(0.270656\pi\)
\(374\) 19.3242 33.4705i 0.999231 1.73072i
\(375\) 18.5626 + 29.1248i 0.958570 + 1.50400i
\(376\) −0.00307272 0.0410027i −0.000158464 0.00211455i
\(377\) 29.2465 36.6740i 1.50627 1.88881i
\(378\) 7.39578 + 26.3140i 0.380398 + 1.35345i
\(379\) 3.03213 + 3.80217i 0.155750 + 0.195304i 0.853584 0.520955i \(-0.174424\pi\)
−0.697834 + 0.716259i \(0.745853\pi\)
\(380\) 3.75492 3.48406i 0.192623 0.178728i
\(381\) 10.7821 + 6.67854i 0.552386 + 0.342152i
\(382\) −43.9523 + 29.9661i −2.24879 + 1.53320i
\(383\) 13.8791 17.4038i 0.709187 0.889292i −0.288486 0.957484i \(-0.593152\pi\)
0.997672 + 0.0681924i \(0.0217232\pi\)
\(384\) 1.25133 + 0.326683i 0.0638567 + 0.0166710i
\(385\) −21.9328 + 31.6837i −1.11780 + 1.61475i
\(386\) −20.2227 9.73875i −1.02931 0.495689i
\(387\) −2.25045 3.21128i −0.114397 0.163238i
\(388\) 18.5115 5.71004i 0.939779 0.289883i
\(389\) −5.88057 + 2.83193i −0.298157 + 0.143585i −0.576981 0.816757i \(-0.695769\pi\)
0.278825 + 0.960342i \(0.410055\pi\)
\(390\) −62.9629 + 33.7966i −3.18825 + 1.71136i
\(391\) −12.9188 22.3761i −0.653334 1.13161i
\(392\) −0.647536 + 0.0882139i −0.0327055 + 0.00445548i
\(393\) −1.80260 + 0.643799i −0.0909293 + 0.0324754i
\(394\) 10.5075 26.7728i 0.529362 1.34879i
\(395\) −9.30909 6.34683i −0.468391 0.319344i
\(396\) −21.8990 1.35813i −1.10047 0.0682484i
\(397\) −1.56641 + 20.9023i −0.0786158 + 1.04905i 0.808800 + 0.588084i \(0.200118\pi\)
−0.887415 + 0.460971i \(0.847501\pi\)
\(398\) 10.8934 7.42701i 0.546038 0.372282i
\(399\) 3.07102 0.343935i 0.153743 0.0172183i
\(400\) −34.2362 23.3419i −1.71181 1.16709i
\(401\) 7.28316 9.13280i 0.363704 0.456070i −0.565985 0.824415i \(-0.691504\pi\)
0.929689 + 0.368345i \(0.120076\pi\)
\(402\) −53.1189 5.63938i −2.64933 0.281267i
\(403\) 1.05911 + 1.32808i 0.0527579 + 0.0661563i
\(404\) 20.0453 + 6.18315i 0.997289 + 0.307623i
\(405\) −31.1364 + 15.9938i −1.54718 + 0.794737i
\(406\) −31.2154 34.1251i −1.54919 1.69360i
\(407\) −3.33073 8.48657i −0.165098 0.420664i
\(408\) 0.340603 + 0.767172i 0.0168624 + 0.0379807i
\(409\) 23.0234 + 7.10178i 1.13843 + 0.351160i 0.805970 0.591956i \(-0.201644\pi\)
0.332464 + 0.943116i \(0.392120\pi\)
\(410\) 15.6818 27.1617i 0.774470 1.34142i
\(411\) −32.3532 + 11.5549i −1.59587 + 0.569963i
\(412\) 16.8583 + 5.20010i 0.830550 + 0.256191i
\(413\) −3.81848 8.07536i −0.187895 0.397362i
\(414\) −16.4077 + 24.7435i −0.806395 + 1.21608i
\(415\) 7.65072 + 7.09883i 0.375559 + 0.348468i
\(416\) 26.4410 33.1560i 1.29638 1.62561i
\(417\) 0.964357 0.188898i 0.0472248 0.00925036i
\(418\) −1.11723 + 4.89489i −0.0546453 + 0.239417i
\(419\) −29.3539 + 9.05448i −1.43403 + 0.442340i −0.911861 0.410500i \(-0.865354\pi\)
−0.522172 + 0.852840i \(0.674878\pi\)
\(420\) 11.4748 + 32.8637i 0.559911 + 1.60358i
\(421\) 9.88562 + 3.04931i 0.481796 + 0.148614i 0.526133 0.850402i \(-0.323641\pi\)
−0.0443372 + 0.999017i \(0.514118\pi\)
\(422\) −22.9559 + 39.7608i −1.11748 + 1.93553i
\(423\) −1.23604 0.466855i −0.0600983 0.0226993i
\(424\) −0.322576 + 0.299307i −0.0156657 + 0.0145356i
\(425\) −3.92837 52.4204i −0.190554 2.54276i
\(426\) −8.76667 + 1.71721i −0.424747 + 0.0831991i
\(427\) −2.70098 4.02269i −0.130710 0.194672i
\(428\) −0.222177 + 0.566099i −0.0107394 + 0.0273634i
\(429\) 15.9731 30.6988i 0.771188 1.48215i
\(430\) −6.30206 7.90253i −0.303912 0.381094i
\(431\) 2.35598 + 31.4384i 0.113484 + 1.51433i 0.705674 + 0.708536i \(0.250644\pi\)
−0.592191 + 0.805798i \(0.701737\pi\)
\(432\) 13.5549 16.3799i 0.652161 0.788077i
\(433\) 23.3280 11.2342i 1.12107 0.539880i 0.220849 0.975308i \(-0.429117\pi\)
0.900224 + 0.435428i \(0.143403\pi\)
\(434\) 1.45633 0.827079i 0.0699061 0.0397011i
\(435\) 34.8629 47.8789i 1.67155 2.29562i
\(436\) −27.0689 + 13.0357i −1.29636 + 0.624296i
\(437\) 2.46052 + 2.28303i 0.117703 + 0.109212i
\(438\) 12.3470 + 44.9222i 0.589964 + 2.14646i
\(439\) −10.1818 + 25.9427i −0.485949 + 1.23818i 0.452192 + 0.891921i \(0.350642\pi\)
−0.938140 + 0.346256i \(0.887453\pi\)
\(440\) 1.35975 0.0648235
\(441\) −6.21677 + 20.0587i −0.296037 + 0.955177i
\(442\) 55.0641 2.61913
\(443\) −1.77930 + 4.53358i −0.0845370 + 0.215397i −0.966891 0.255189i \(-0.917862\pi\)
0.882354 + 0.470586i \(0.155957\pi\)
\(444\) −7.96840 2.08030i −0.378164 0.0987266i
\(445\) −22.2682 20.6619i −1.05561 0.979466i
\(446\) 7.89293 3.80103i 0.373741 0.179984i
\(447\) 15.3917 + 1.63406i 0.728002 + 0.0772885i
\(448\) −13.6075 14.8759i −0.642893 0.702819i
\(449\) −7.60221 + 3.66103i −0.358771 + 0.172775i −0.604582 0.796543i \(-0.706660\pi\)
0.245812 + 0.969318i \(0.420946\pi\)
\(450\) −51.9183 + 30.8721i −2.44745 + 1.45532i
\(451\) 1.13503 + 15.1459i 0.0534464 + 0.713193i
\(452\) 16.0066 + 20.0717i 0.752889 + 0.944093i
\(453\) −11.4935 18.0333i −0.540011 0.847278i
\(454\) 10.9387 27.8713i 0.513377 1.30806i
\(455\) −54.7177 4.49150i −2.56520 0.210565i
\(456\) −0.0716576 0.0821926i −0.00335567 0.00384902i
\(457\) 1.81052 + 24.1597i 0.0846924 + 1.13014i 0.863997 + 0.503496i \(0.167953\pi\)
−0.779305 + 0.626645i \(0.784428\pi\)
\(458\) −25.7415 + 23.8846i −1.20282 + 1.11605i
\(459\) 26.9682 + 0.488385i 1.25877 + 0.0227959i
\(460\) −18.9047 + 32.7439i −0.881436 + 1.52669i
\(461\) −7.94583 2.45096i −0.370074 0.114153i 0.104139 0.994563i \(-0.466791\pi\)
−0.474213 + 0.880410i \(0.657267\pi\)
\(462\) −27.4387 20.2792i −1.27657 0.943472i
\(463\) 28.8646 8.90354i 1.34145 0.413783i 0.460781 0.887514i \(-0.347569\pi\)
0.880669 + 0.473731i \(0.157093\pi\)
\(464\) −8.00494 + 35.0719i −0.371620 + 1.62817i
\(465\) 1.40944 + 1.61666i 0.0653613 + 0.0749706i
\(466\) 35.2334 44.1813i 1.63216 2.04666i
\(467\) 27.4832 + 25.5006i 1.27177 + 1.18003i 0.974289 + 0.225301i \(0.0723364\pi\)
0.297479 + 0.954728i \(0.403854\pi\)
\(468\) −13.9245 27.9879i −0.643661 1.29374i
\(469\) −31.9037 25.8151i −1.47318 1.19203i
\(470\) −3.25442 1.00386i −0.150115 0.0463044i
\(471\) −0.917898 + 5.02800i −0.0422945 + 0.231678i
\(472\) −0.157601 + 0.272973i −0.00725419 + 0.0125646i
\(473\) 4.67737 + 1.44278i 0.215065 + 0.0663389i
\(474\) 5.87217 8.06454i 0.269718 0.370417i
\(475\) 2.49490 + 6.35691i 0.114474 + 0.291675i
\(476\) 4.18596 26.4940i 0.191863 1.21435i
\(477\) 4.34137 + 13.4574i 0.198778 + 0.616172i
\(478\) 17.0901 + 5.27161i 0.781685 + 0.241118i
\(479\) 0.688706 + 0.863610i 0.0314678 + 0.0394593i 0.797316 0.603562i \(-0.206252\pi\)
−0.765849 + 0.643021i \(0.777681\pi\)
\(480\) 31.5186 43.2860i 1.43862 1.97573i
\(481\) 8.09856 10.1553i 0.369263 0.463041i
\(482\) 19.1747 + 13.0731i 0.873383 + 0.595462i
\(483\) −20.9128 + 9.10746i −0.951564 + 0.414404i
\(484\) 4.87864 3.32620i 0.221756 0.151191i
\(485\) −2.88294 + 38.4702i −0.130908 + 1.74684i
\(486\) −13.3008 27.9942i −0.603338 1.26984i
\(487\) −31.1455 21.2346i −1.41134 0.962234i −0.998681 0.0513468i \(-0.983649\pi\)
−0.412657 0.910887i \(-0.635399\pi\)
\(488\) −0.0624644 + 0.159157i −0.00282763 + 0.00720468i
\(489\) 0.230918 1.26491i 0.0104425 0.0572011i
\(490\) −12.7934 + 52.5965i −0.577945 + 2.37607i
\(491\) 15.5779 + 26.9818i 0.703023 + 1.21767i 0.967400 + 0.253252i \(0.0815002\pi\)
−0.264378 + 0.964419i \(0.585166\pi\)
\(492\) 11.6639 + 7.22470i 0.525848 + 0.325715i
\(493\) −41.1181 + 19.8014i −1.85187 + 0.891812i
\(494\) −6.83551 + 2.10848i −0.307544 + 0.0948649i
\(495\) 18.4502 39.6074i 0.829275 1.78022i
\(496\) −1.17371 0.565231i −0.0527014 0.0253796i
\(497\) −6.37090 2.55275i −0.285774 0.114507i
\(498\) −6.49223 + 6.57627i −0.290924 + 0.294690i
\(499\) −12.9551 + 16.2452i −0.579952 + 0.727237i −0.982105 0.188336i \(-0.939691\pi\)
0.402153 + 0.915573i \(0.368262\pi\)
\(500\) −32.1770 + 21.9379i −1.43900 + 0.981093i
\(501\) −0.845290 + 27.2858i −0.0377648 + 1.21904i
\(502\) 8.04006 7.46009i 0.358846 0.332960i
\(503\) −9.88875 12.4001i −0.440918 0.552893i 0.510867 0.859660i \(-0.329324\pi\)
−0.951785 + 0.306766i \(0.900753\pi\)
\(504\) 0.706827 0.222494i 0.0314846 0.00991067i
\(505\) −26.0459 + 32.6606i −1.15903 + 1.45338i
\(506\) −2.76949 36.9562i −0.123119 1.64291i
\(507\) 26.7620 1.17375i 1.18854 0.0521279i
\(508\) −7.15059 + 12.3852i −0.317256 + 0.549504i
\(509\) −26.5895 −1.17856 −0.589279 0.807930i \(-0.700588\pi\)
−0.589279 + 0.807930i \(0.700588\pi\)
\(510\) 69.4584 3.04636i 3.07567 0.134895i
\(511\) −10.7928 + 34.1270i −0.477445 + 1.50969i
\(512\) −7.06705 + 30.9628i −0.312322 + 1.36837i
\(513\) −3.36646 + 0.972019i −0.148633 + 0.0429157i
\(514\) −8.33844 1.25682i −0.367793 0.0554358i
\(515\) −21.9050 + 27.4680i −0.965248 + 1.21038i
\(516\) 3.54070 2.64849i 0.155870 0.116593i
\(517\) 1.57601 0.486134i 0.0693127 0.0213801i
\(518\) −8.64376 9.44946i −0.379785 0.415186i
\(519\) 4.11833 7.91505i 0.180775 0.347432i
\(520\) 0.968647 + 1.67775i 0.0424780 + 0.0735740i
\(521\) −12.9826 22.4865i −0.568776 0.985149i −0.996687 0.0813286i \(-0.974084\pi\)
0.427911 0.903821i \(-0.359250\pi\)
\(522\) 41.4170 + 32.1663i 1.81277 + 1.40788i
\(523\) 7.75506 5.28731i 0.339105 0.231198i −0.381779 0.924254i \(-0.624688\pi\)
0.720884 + 0.693056i \(0.243736\pi\)
\(524\) −0.788532 2.00915i −0.0344472 0.0877700i
\(525\) −46.3736 1.76633i −2.02391 0.0770887i
\(526\) 9.47983 24.1542i 0.413340 1.05317i
\(527\) −0.367756 1.61124i −0.0160197 0.0701869i
\(528\) −0.821771 + 26.5266i −0.0357630 + 1.15442i
\(529\) −1.59985 0.770448i −0.0695587 0.0334977i
\(530\) 13.3161 + 33.9289i 0.578415 + 1.47378i
\(531\) 5.81284 + 8.29462i 0.252256 + 0.359956i
\(532\) 0.494856 + 3.44918i 0.0214547 + 0.149541i
\(533\) −17.8794 + 12.1900i −0.774445 + 0.528007i
\(534\) 18.8963 19.1409i 0.817722 0.828307i
\(535\) −0.887767 0.823727i −0.0383815 0.0356128i
\(536\) −0.108221 + 1.44411i −0.00467443 + 0.0623759i
\(537\) 0.477899 15.4265i 0.0206229 0.665702i
\(538\) −1.34142 + 2.32341i −0.0578327 + 0.100169i
\(539\) −9.22930 24.5349i −0.397534 1.05679i
\(540\) −19.1129 34.5339i −0.822488 1.48610i
\(541\) 5.34501 0.805631i 0.229800 0.0346368i −0.0331326 0.999451i \(-0.510548\pi\)
0.262933 + 0.964814i \(0.415310\pi\)
\(542\) −14.3602 + 6.91553i −0.616825 + 0.297047i
\(543\) −1.02129 8.56861i −0.0438279 0.367714i
\(544\) −37.1738 + 17.9020i −1.59381 + 0.767540i
\(545\) −4.47115 59.6633i −0.191523 2.55569i
\(546\) 5.47514 48.3020i 0.234315 2.06714i
\(547\) 0.704553 9.40160i 0.0301245 0.401983i −0.961676 0.274188i \(-0.911591\pi\)
0.991801 0.127795i \(-0.0407901\pi\)
\(548\) −14.1526 36.0603i −0.604570 1.54042i
\(549\) 3.78843 + 3.97907i 0.161686 + 0.169822i
\(550\) 27.5464 70.1871i 1.17458 2.99279i
\(551\) 4.34607 4.03256i 0.185149 0.171793i
\(552\) 0.684253 + 0.423832i 0.0291237 + 0.0180395i
\(553\) 7.15426 2.74937i 0.304230 0.116915i
\(554\) −36.6155 5.51889i −1.55564 0.234475i
\(555\) 9.65376 13.2580i 0.409779 0.562770i
\(556\) 0.246567 + 1.08028i 0.0104568 + 0.0458142i
\(557\) 3.05083 + 5.28419i 0.129268 + 0.223898i 0.923393 0.383856i \(-0.125404\pi\)
−0.794125 + 0.607754i \(0.792071\pi\)
\(558\) −1.46938 + 1.20303i −0.0622039 + 0.0509284i
\(559\) 1.55183 + 6.79903i 0.0656356 + 0.287568i
\(560\) 39.3022 15.1038i 1.66082 0.638251i
\(561\) −26.9606 + 20.1670i −1.13828 + 0.851449i
\(562\) 7.41629 32.4929i 0.312837 1.37063i
\(563\) 6.72253 + 17.1287i 0.283321 + 0.721890i 0.999707 + 0.0241864i \(0.00769952\pi\)
−0.716387 + 0.697704i \(0.754205\pi\)
\(564\) 0.483012 1.40938i 0.0203385 0.0593455i
\(565\) −48.8537 + 15.0694i −2.05529 + 0.633973i
\(566\) −7.70921 + 33.7762i −0.324042 + 1.41972i
\(567\) 3.10991 23.6078i 0.130604 0.991435i
\(568\) 0.0538907 + 0.236111i 0.00226120 + 0.00990698i
\(569\) −16.8143 29.1232i −0.704891 1.22091i −0.966731 0.255796i \(-0.917663\pi\)
0.261840 0.965111i \(-0.415671\pi\)
\(570\) −8.50573 + 3.03782i −0.356266 + 0.127240i
\(571\) 11.3847 + 3.51171i 0.476434 + 0.146960i 0.523666 0.851924i \(-0.324564\pi\)
−0.0472325 + 0.998884i \(0.515040\pi\)
\(572\) 35.1568 + 16.9306i 1.46998 + 0.707905i
\(573\) 45.4773 8.90807i 1.89984 0.372140i
\(574\) 9.12035 + 19.2878i 0.380676 + 0.805057i
\(575\) −31.4281 39.4096i −1.31064 1.64349i
\(576\) 18.0546 + 14.0220i 0.752275 + 0.584251i
\(577\) −5.37968 + 13.7072i −0.223959 + 0.570638i −0.998049 0.0624374i \(-0.980113\pi\)
0.774090 + 0.633076i \(0.218208\pi\)
\(578\) −17.8151 8.57932i −0.741012 0.356853i
\(579\) 12.8495 + 14.7387i 0.534009 + 0.612518i
\(580\) 55.1791 + 37.6205i 2.29119 + 1.56211i
\(581\) −6.93278 + 1.53065i −0.287620 + 0.0635019i
\(582\) −33.9671 3.60612i −1.40798 0.149479i
\(583\) −14.5837 9.94303i −0.603997 0.411798i
\(584\) 1.20690 0.372279i 0.0499419 0.0154050i
\(585\) 62.0137 5.45017i 2.56395 0.225337i
\(586\) 50.9352 7.67725i 2.10412 0.317144i
\(587\) −7.72663 + 13.3829i −0.318912 + 0.552372i −0.980261 0.197706i \(-0.936651\pi\)
0.661349 + 0.750078i \(0.269984\pi\)
\(588\) −22.8242 6.30626i −0.941255 0.260066i
\(589\) 0.107349 + 0.185934i 0.00442323 + 0.00766127i
\(590\) 16.2780 + 20.4120i 0.670154 + 0.840347i
\(591\) −17.6024 + 17.8302i −0.724065 + 0.733438i
\(592\) −2.21662 + 9.71166i −0.0911026 + 0.399147i
\(593\) 0.242462 3.23543i 0.00995673 0.132863i −0.990010 0.140996i \(-0.954970\pi\)
0.999967 + 0.00813245i \(0.00258867\pi\)
\(594\) 34.5468 + 17.4143i 1.41747 + 0.714519i
\(595\) 46.0680 + 27.0354i 1.88861 + 1.10834i
\(596\) −1.30427 + 17.4043i −0.0534249 + 0.712906i
\(597\) −11.2714 + 2.20783i −0.461308 + 0.0903606i
\(598\) 43.6261 29.7438i 1.78400 1.21631i
\(599\) 39.6970 5.98336i 1.62197 0.244473i 0.725712 0.687998i \(-0.241510\pi\)
0.896262 + 0.443525i \(0.146272\pi\)
\(600\) 0.880128 + 1.38092i 0.0359311 + 0.0563760i
\(601\) 9.23421 1.39183i 0.376671 0.0567741i 0.0420218 0.999117i \(-0.486620\pi\)
0.334650 + 0.942343i \(0.391382\pi\)
\(602\) 6.86011 0.465129i 0.279597 0.0189572i
\(603\) 40.5962 + 22.7472i 1.65321 + 0.926337i
\(604\) 19.9231 13.5834i 0.810661 0.552699i
\(605\) 2.61654 + 11.4638i 0.106377 + 0.466070i
\(606\) −28.1905 23.9461i −1.14516 0.972744i
\(607\) 6.80105 0.276046 0.138023 0.990429i \(-0.455925\pi\)
0.138023 + 0.990429i \(0.455925\pi\)
\(608\) 3.92917 3.64573i 0.159349 0.147854i
\(609\) 13.2813 + 38.0375i 0.538185 + 1.54136i
\(610\) 10.3813 + 9.63241i 0.420325 + 0.390005i
\(611\) 1.72253 + 1.59827i 0.0696860 + 0.0646592i
\(612\) 0.391158 + 30.4115i 0.0158116 + 1.22931i
\(613\) 37.7710 + 5.69306i 1.52556 + 0.229941i 0.857623 0.514279i \(-0.171941\pi\)
0.667934 + 0.744220i \(0.267179\pi\)
\(614\) −53.7492 + 16.5794i −2.16914 + 0.669092i
\(615\) −21.8789 + 16.3657i −0.882242 + 0.659930i
\(616\) −0.526475 + 0.760536i −0.0212123 + 0.0306429i
\(617\) 2.64580 2.45494i 0.106516 0.0988322i −0.625117 0.780531i \(-0.714949\pi\)
0.731633 + 0.681699i \(0.238758\pi\)
\(618\) −23.7086 20.1390i −0.953700 0.810109i
\(619\) 23.1245 0.929452 0.464726 0.885455i \(-0.346153\pi\)
0.464726 + 0.885455i \(0.346153\pi\)
\(620\) −1.77284 + 1.64496i −0.0711990 + 0.0660630i
\(621\) 21.6301 14.1804i 0.867986 0.569038i
\(622\) −29.1581 + 36.5632i −1.16913 + 1.46605i
\(623\) 20.1785 4.45510i 0.808436 0.178490i
\(624\) −33.3157 + 17.8829i −1.33370 + 0.715888i
\(625\) −5.99011 26.2444i −0.239604 1.04977i
\(626\) 19.3907 2.92268i 0.775009 0.116814i
\(627\) 2.57460 3.53583i 0.102820 0.141207i
\(628\) −5.69886 0.858964i −0.227409 0.0342764i
\(629\) −11.3859 + 5.48315i −0.453985 + 0.218628i
\(630\) 4.23414 61.2315i 0.168692 2.43952i
\(631\) 16.5678 + 7.97861i 0.659552 + 0.317623i 0.733551 0.679635i \(-0.237862\pi\)
−0.0739987 + 0.997258i \(0.523576\pi\)
\(632\) −0.223456 0.152349i −0.00888859 0.00606014i
\(633\) 32.0275 23.9571i 1.27298 0.952207i
\(634\) 0.373662 4.98617i 0.0148400 0.198026i
\(635\) −17.7568 22.2663i −0.704656 0.883611i
\(636\) −15.0156 + 5.36281i −0.595406 + 0.212649i
\(637\) 23.6981 28.8657i 0.938952 1.14370i
\(638\) −65.4596 −2.59157
\(639\) 7.60878 + 1.63399i 0.300999 + 0.0646397i
\(640\) −2.39944 1.63591i −0.0948460 0.0646649i
\(641\) 3.96978 17.3927i 0.156797 0.686971i −0.834017 0.551739i \(-0.813965\pi\)
0.990814 0.135233i \(-0.0431782\pi\)
\(642\) 0.753338 0.763090i 0.0297319 0.0301168i
\(643\) −1.14688 15.3041i −0.0452287 0.603535i −0.973063 0.230541i \(-0.925950\pi\)
0.927834 0.372994i \(-0.121669\pi\)
\(644\) −10.9947 23.2517i −0.433253 0.916247i
\(645\) 2.33365 + 8.49050i 0.0918872 + 0.334313i
\(646\) 6.88189 + 1.03728i 0.270764 + 0.0408112i
\(647\) 0.0157226 + 0.209803i 0.000618119 + 0.00824822i 0.997504 0.0706053i \(-0.0224931\pi\)
−0.996886 + 0.0788536i \(0.974874\pi\)
\(648\) −0.747399 + 0.383915i −0.0293606 + 0.0150816i
\(649\) −12.0815 3.72664i −0.474239 0.146283i
\(650\) 106.225 16.0108i 4.16648 0.627995i
\(651\) −1.44994 + 0.162385i −0.0568278 + 0.00636436i
\(652\) 1.43368 + 0.216092i 0.0561471 + 0.00846281i
\(653\) −19.9694 9.61674i −0.781462 0.376332i 0.000227592 1.00000i \(-0.499928\pi\)
−0.781690 + 0.623668i \(0.785642\pi\)
\(654\) 52.9246 2.32121i 2.06952 0.0907664i
\(655\) 4.29817 0.167943
\(656\) 8.29776 14.3721i 0.323973 0.561138i
\(657\) 5.53230 40.2066i 0.215835 1.56861i
\(658\) 1.82154 1.43159i 0.0710111 0.0558091i
\(659\) −20.2258 18.7668i −0.787885 0.731051i 0.179665 0.983728i \(-0.442499\pi\)
−0.967551 + 0.252677i \(0.918689\pi\)
\(660\) 45.2837 + 19.4114i 1.76267 + 0.755588i
\(661\) −9.82603 25.0363i −0.382188 0.973800i −0.984476 0.175520i \(-0.943839\pi\)
0.602288 0.798279i \(-0.294256\pi\)
\(662\) −21.8215 55.6004i −0.848118 2.16097i
\(663\) −44.0893 18.8994i −1.71229 0.733993i
\(664\) 0.183648 + 0.170401i 0.00712693 + 0.00661283i
\(665\) −6.75398 1.59210i −0.261908 0.0617389i
\(666\) 11.4687 + 8.90707i 0.444401 + 0.345142i
\(667\) −21.8809 + 37.8989i −0.847233 + 1.46745i
\(668\) −30.7820 −1.19099
\(669\) −7.62440 + 0.334397i −0.294776 + 0.0129285i
\(670\) 108.070 + 52.0440i 4.17513 + 2.01063i
\(671\) −6.78145 1.02214i −0.261795 0.0394592i
\(672\) 12.0073 + 34.3887i 0.463190 + 1.32657i
\(673\) −21.5110 + 3.24226i −0.829187 + 0.124980i −0.549903 0.835229i \(-0.685335\pi\)
−0.279284 + 0.960209i \(0.590097\pi\)
\(674\) −38.7767 11.9610i −1.49362 0.460721i
\(675\) 52.1666 6.89929i 2.00789 0.265554i
\(676\) 2.25726 + 30.1211i 0.0868178 + 1.15850i
\(677\) −2.76912 0.417377i −0.106426 0.0160411i 0.0956134 0.995419i \(-0.469519\pi\)
−0.202039 + 0.979377i \(0.564757\pi\)
\(678\) −11.9970 43.6487i −0.460742 1.67632i
\(679\) −20.4010 16.5076i −0.782917 0.633503i
\(680\) −0.140854 1.87957i −0.00540151 0.0720781i
\(681\) −18.3246 + 18.5618i −0.702201 + 0.711291i
\(682\) 0.527485 2.31106i 0.0201984 0.0884951i
\(683\) 28.3881 + 19.3547i 1.08624 + 0.740586i 0.967635 0.252356i \(-0.0812053\pi\)
0.118605 + 0.992941i \(0.462158\pi\)
\(684\) −1.21305 3.76023i −0.0463823 0.143776i
\(685\) 77.1438 2.94751
\(686\) −24.4649 27.5202i −0.934075 1.05073i
\(687\) 28.8087 10.2890i 1.09912 0.392551i
\(688\) −3.33462 4.18148i −0.127131 0.159417i
\(689\) 1.87930 25.0775i 0.0715956 0.955377i
\(690\) 53.3848 39.9326i 2.03233 1.52021i
\(691\) −6.64518 4.53061i −0.252794 0.172352i 0.430292 0.902690i \(-0.358411\pi\)
−0.683087 + 0.730337i \(0.739363\pi\)
\(692\) 9.06445 + 4.36521i 0.344579 + 0.165940i
\(693\) 15.0096 + 25.6550i 0.570168 + 0.974553i
\(694\) −29.1224 + 14.0246i −1.10547 + 0.532367i
\(695\) −2.18197 0.328880i −0.0827670 0.0124751i
\(696\) 0.836849 1.14929i 0.0317207 0.0435636i
\(697\) 20.8185 3.13788i 0.788556 0.118856i
\(698\) −1.91841 8.40510i −0.0726128 0.318138i
\(699\) −43.3752 + 23.2825i −1.64060 + 0.880626i
\(700\) 0.371605 52.3270i 0.0140453 1.97777i
\(701\) 27.4930 34.4752i 1.03840 1.30211i 0.0863157 0.996268i \(-0.472491\pi\)
0.952082 0.305842i \(-0.0989379\pi\)
\(702\) 3.12320 + 55.0315i 0.117878 + 2.07703i
\(703\) 1.20346 1.11664i 0.0453892 0.0421150i
\(704\) −28.5353 −1.07547
\(705\) 2.26123 + 1.92078i 0.0851630 + 0.0723407i
\(706\) 7.29541 6.76915i 0.274566 0.254760i
\(707\) −8.18314 27.2137i −0.307759 1.02348i
\(708\) −9.14550 + 6.84097i −0.343709 + 0.257099i
\(709\) 9.86494 3.04293i 0.370486 0.114280i −0.103921 0.994586i \(-0.533139\pi\)
0.474407 + 0.880306i \(0.342663\pi\)
\(710\) 19.8357 + 2.98974i 0.744419 + 0.112203i
\(711\) −7.46975 + 4.44172i −0.280137 + 0.166578i
\(712\) −0.534526 0.495968i −0.0200322 0.0185872i
\(713\) −1.16171 1.07790i −0.0435062 0.0403679i
\(714\) −25.1894 + 40.0290i −0.942688 + 1.49805i
\(715\) −56.9635 + 52.8544i −2.13031 + 1.97664i
\(716\) 17.4031 0.650385
\(717\) −11.8746 10.0867i −0.443463 0.376695i
\(718\) −7.71812 33.8153i −0.288038 1.26198i
\(719\) −34.9189 + 23.8073i −1.30226 + 0.887863i −0.997905 0.0646975i \(-0.979392\pi\)
−0.304350 + 0.952560i \(0.598439\pi\)
\(720\) −41.0353 + 24.4008i −1.52930 + 0.909363i
\(721\) −6.88213 22.8871i −0.256304 0.852360i
\(722\) 36.4604 5.49551i 1.35691 0.204522i
\(723\) −10.8660 17.0487i −0.404110 0.634049i
\(724\) 9.62159 1.45022i 0.357584 0.0538970i
\(725\) −73.5638 + 50.1549i −2.73209 + 1.86271i
\(726\) −10.2172 + 2.00134i −0.379196 + 0.0742767i
\(727\) 0.0304432 0.406236i 0.00112907 0.0150665i −0.996611 0.0822612i \(-0.973786\pi\)
0.997740 + 0.0671947i \(0.0214049\pi\)
\(728\) −1.31344 0.107814i −0.0486795 0.00399585i
\(729\) 1.04152 + 26.9799i 0.0385748 + 0.999256i
\(730\) 7.81780 104.321i 0.289350 3.86110i
\(731\) 1.50982 6.61494i 0.0558426 0.244662i
\(732\) −4.35233 + 4.40867i −0.160867 + 0.162949i
\(733\) 30.5573 + 38.3177i 1.12866 + 1.41530i 0.896739 + 0.442561i \(0.145930\pi\)
0.231922 + 0.972734i \(0.425499\pi\)
\(734\) 13.1943 + 22.8533i 0.487012 + 0.843530i
\(735\) 28.2960 37.7225i 1.04371 1.39142i
\(736\) −19.7820 + 34.2634i −0.729173 + 1.26296i
\(737\) −57.4386 + 8.65748i −2.11578 + 0.318902i
\(738\) −13.8838 19.8115i −0.511071 0.729272i
\(739\) −11.6704 + 3.59983i −0.429302 + 0.132422i −0.501873 0.864941i \(-0.667356\pi\)
0.0725715 + 0.997363i \(0.476879\pi\)
\(740\) 15.2795 + 10.4174i 0.561685 + 0.382950i
\(741\) 6.19681 + 0.657886i 0.227646 + 0.0241680i
\(742\) −24.1329 5.68879i −0.885948 0.208842i
\(743\) 13.5755 + 9.25564i 0.498038 + 0.339557i 0.786145 0.618042i \(-0.212074\pi\)
−0.288107 + 0.957598i \(0.593026\pi\)
\(744\) 0.0338322 + 0.0388062i 0.00124035 + 0.00142271i
\(745\) −31.3144 15.0802i −1.14727 0.552497i
\(746\) 18.5113 47.1660i 0.677747 1.72687i
\(747\) 7.45541 3.03726i 0.272779 0.111127i
\(748\) −23.6705 29.6819i −0.865479 1.08528i
\(749\) 0.804458 0.177612i 0.0293943 0.00648978i
\(750\) 67.3874 13.1998i 2.46064 0.481988i
\(751\) 20.0058 + 9.63431i 0.730024 + 0.351561i 0.761693 0.647938i \(-0.224368\pi\)
−0.0316698 + 0.999498i \(0.510083\pi\)
\(752\) −1.72202 0.531172i −0.0627955 0.0193699i
\(753\) −8.99809 + 3.21367i −0.327909 + 0.117112i
\(754\) −46.6317 80.7684i −1.69822 2.94141i
\(755\) 10.6853 + 46.8152i 0.388877 + 1.70378i
\(756\) 26.7158 + 2.68076i 0.971642 + 0.0974983i
\(757\) −4.44323 + 19.4670i −0.161492 + 0.707542i 0.827731 + 0.561125i \(0.189631\pi\)
−0.989223 + 0.146417i \(0.953226\pi\)
\(758\) 9.23949 2.85000i 0.335593 0.103517i
\(759\) −10.4668 + 30.5411i −0.379922 + 1.10857i
\(760\) 0.0894563 + 0.227931i 0.00324492 + 0.00826793i
\(761\) 3.42950 15.0256i 0.124319 0.544678i −0.873958 0.486002i \(-0.838455\pi\)
0.998277 0.0586761i \(-0.0186879\pi\)
\(762\) 20.1925 15.1043i 0.731497 0.547171i
\(763\) 35.1021 + 20.5999i 1.27078 + 0.745768i
\(764\) 11.6277 + 50.9442i 0.420674 + 1.84309i
\(765\) −56.6602 21.4007i −2.04856 0.773744i
\(766\) −22.1292 38.3290i −0.799562 1.38488i
\(767\) −4.00834 17.5617i −0.144733 0.634115i
\(768\) 17.0515 23.4177i 0.615293 0.845012i
\(769\) −47.6030 7.17500i −1.71661 0.258737i −0.784296 0.620387i \(-0.786975\pi\)
−0.932314 + 0.361650i \(0.882214\pi\)
\(770\) 42.7082 + 63.6073i 1.53910 + 2.29225i
\(771\) 6.24514 + 3.86829i 0.224913 + 0.139313i
\(772\) −16.1626 + 14.9967i −0.581704 + 0.539742i
\(773\) 0.123267 0.314078i 0.00443360 0.0112966i −0.928640 0.370983i \(-0.879021\pi\)
0.933073 + 0.359686i \(0.117116\pi\)
\(774\) −7.57808 + 1.83250i −0.272388 + 0.0658678i
\(775\) −1.17794 3.00134i −0.0423128 0.107811i
\(776\) −0.0692022 + 0.923440i −0.00248422 + 0.0331496i
\(777\) 3.67768 + 10.5329i 0.131936 + 0.377864i
\(778\) 0.969775 + 12.9407i 0.0347681 + 0.463948i
\(779\) −2.46420 + 1.18669i −0.0882890 + 0.0425177i
\(780\) 8.30781 + 69.7022i 0.297467 + 2.49574i
\(781\) −8.75224 + 4.21486i −0.313180 + 0.150819i
\(782\) −50.7974 + 7.65648i −1.81651 + 0.273795i
\(783\) −22.1219 39.9707i −0.790573 1.42843i
\(784\) −6.76938 + 27.8305i −0.241764 + 0.993947i
\(785\) 5.73850 9.93937i 0.204816 0.354751i
\(786\) −0.117841 + 3.80388i −0.00420324 + 0.135680i
\(787\) 0.912076 12.1708i 0.0325120 0.433843i −0.957068 0.289862i \(-0.906391\pi\)
0.989580 0.143981i \(-0.0459903\pi\)
\(788\) −20.7102 19.2162i −0.737769 0.684549i
\(789\) −15.8807 + 16.0863i −0.565369 + 0.572688i
\(790\) −18.5086 + 12.6189i −0.658506 + 0.448962i
\(791\) 10.4868 33.1595i 0.372868 1.17902i
\(792\) 0.442879 0.950738i 0.0157370 0.0337830i
\(793\) −3.56974 9.09554i −0.126765 0.322992i
\(794\) 37.5479 + 18.0821i 1.33252 + 0.641709i
\(795\) 0.983182 31.7370i 0.0348699 1.12559i
\(796\) −2.88188 12.6263i −0.102145 0.447529i
\(797\) −15.7867 + 40.2239i −0.559194 + 1.42480i 0.319577 + 0.947560i \(0.396459\pi\)
−0.878771 + 0.477244i \(0.841636\pi\)
\(798\) 1.59418 5.93363i 0.0564333 0.210048i
\(799\) −0.835235 2.12814i −0.0295485 0.0752883i
\(800\) −66.5070 + 45.3437i −2.35138 + 1.60314i
\(801\) −21.6997 + 8.84024i −0.766721 + 0.312354i
\(802\) −11.6125 20.1135i −0.410052 0.710232i
\(803\) 25.3305 + 43.8737i 0.893894 + 1.54827i
\(804\) −24.2198 + 46.5482i −0.854166 + 1.64163i
\(805\) 51.1023 3.46484i 1.80112 0.122120i
\(806\) 3.22731 0.995492i 0.113677 0.0350647i
\(807\) 1.87151 1.39992i 0.0658804 0.0492795i
\(808\) −0.625208 + 0.783985i −0.0219947 + 0.0275805i
\(809\) 6.23579 + 0.939895i 0.219239 + 0.0330449i 0.257743 0.966214i \(-0.417021\pi\)
−0.0385042 + 0.999258i \(0.512259\pi\)
\(810\) 6.98419 + 69.2445i 0.245399 + 2.43300i
\(811\) 5.46003 23.9219i 0.191728 0.840013i −0.783954 0.620819i \(-0.786800\pi\)
0.975681 0.219194i \(-0.0703428\pi\)
\(812\) −42.4065 + 16.2967i −1.48818 + 0.571904i
\(813\) 13.8717 0.608395i 0.486502 0.0213373i
\(814\) −18.1262 −0.635323
\(815\) −1.44365 + 2.50047i −0.0505688 + 0.0875878i
\(816\) 36.7527 1.61192i 1.28660 0.0564287i
\(817\) 0.0658699 + 0.878973i 0.00230450 + 0.0307514i
\(818\) 29.8676 37.4528i 1.04430 1.30951i
\(819\) −20.9624 + 36.7958i −0.732485 + 1.28575i
\(820\) −19.2089 24.0872i −0.670803 0.841161i
\(821\) 13.0550 12.1133i 0.455623 0.422756i −0.418682 0.908133i \(-0.637508\pi\)
0.874305 + 0.485377i \(0.161317\pi\)
\(822\) −2.11501 + 68.2723i −0.0737695 + 2.38127i
\(823\) 9.45071 6.44339i 0.329431 0.224602i −0.387297 0.921955i \(-0.626591\pi\)
0.716728 + 0.697353i \(0.245639\pi\)
\(824\) −0.525807 + 0.659342i −0.0183174 + 0.0229693i
\(825\) −46.1462 + 46.7435i −1.60660 + 1.62740i
\(826\) −17.7194 + 1.20141i −0.616538 + 0.0418025i
\(827\) 18.1561 + 8.74352i 0.631350 + 0.304042i 0.722055 0.691836i \(-0.243198\pi\)
−0.0907052 + 0.995878i \(0.528912\pi\)
\(828\) 16.7372 + 23.8831i 0.581657 + 0.829995i
\(829\) 40.0432 12.3517i 1.39076 0.428992i 0.493211 0.869909i \(-0.335823\pi\)
0.897548 + 0.440917i \(0.145347\pi\)
\(830\) 18.6958 9.00341i 0.648940 0.312513i
\(831\) 27.4234 + 16.9863i 0.951308 + 0.589248i
\(832\) −20.3278 35.2087i −0.704739 1.22064i
\(833\) −32.9583 + 15.2991i −1.14194 + 0.530083i
\(834\) 0.350881 1.92203i 0.0121500 0.0665545i
\(835\) 22.3953 57.0624i 0.775023 1.97473i
\(836\) 4.07495 + 2.77825i 0.140935 + 0.0960879i
\(837\) 1.58943 0.458927i 0.0549388 0.0158628i
\(838\) −4.56419 + 60.9049i −0.157667 + 2.10392i
\(839\) 41.2982 28.1566i 1.42577 0.972074i 0.428109 0.903727i \(-0.359180\pi\)
0.997662 0.0683470i \(-0.0217725\pi\)
\(840\) −1.66275 0.0633328i −0.0573705 0.00218519i
\(841\) 39.9053 + 27.2069i 1.37604 + 0.938171i
\(842\) 12.8244 16.0812i 0.441956 0.554196i
\(843\) −17.0905 + 23.4713i −0.588630 + 0.808394i
\(844\) 28.1190 + 35.2601i 0.967897 + 1.21370i
\(845\) −57.4795 17.7301i −1.97735 0.609933i
\(846\) −1.76188 + 1.94853i −0.0605748 + 0.0669919i
\(847\) −7.42503 2.97513i −0.255127 0.102227i
\(848\) 7.04598 + 17.9529i 0.241960 + 0.616504i
\(849\) 17.7656 24.3983i 0.609712 0.837348i
\(850\) −99.8725 30.8066i −3.42560 1.05666i
\(851\) −6.05897 + 10.4945i −0.207699 + 0.359745i
\(852\) −1.57593 + 8.63252i −0.0539905 + 0.295745i
\(853\) −3.10303 0.957159i −0.106246 0.0327725i 0.241176 0.970481i \(-0.422467\pi\)
−0.347422 + 0.937709i \(0.612943\pi\)
\(854\) −9.40708 + 2.07693i −0.321904 + 0.0710712i
\(855\) 7.85311 + 0.487032i 0.268571 + 0.0166561i
\(856\) −0.0213100 0.0197728i −0.000728360 0.000675819i
\(857\) −11.6925 + 14.6620i −0.399410 + 0.500844i −0.940346 0.340220i \(-0.889499\pi\)
0.540936 + 0.841064i \(0.318070\pi\)
\(858\) −45.2144 51.8618i −1.54360 1.77053i
\(859\) −5.76370 + 25.2524i −0.196655 + 0.861602i 0.776255 + 0.630419i \(0.217117\pi\)
−0.972910 + 0.231183i \(0.925740\pi\)
\(860\) −9.48774 + 2.92658i −0.323529 + 0.0997956i
\(861\) −0.682510 18.5739i −0.0232599 0.632996i
\(862\) 59.8971 + 18.4758i 2.04010 + 0.629289i
\(863\) 20.7402 35.9231i 0.706005 1.22284i −0.260322 0.965522i \(-0.583829\pi\)
0.966328 0.257315i \(-0.0828378\pi\)
\(864\) −19.9998 36.1364i −0.680408 1.22939i
\(865\) −14.6869 + 13.6274i −0.499368 + 0.463346i
\(866\) −3.84706 51.3355i −0.130729 1.74445i
\(867\) 11.3198 + 12.9840i 0.384440 + 0.440960i
\(868\) −0.233640 1.62849i −0.00793027 0.0552745i
\(869\) 3.96324 10.0982i 0.134444 0.342557i
\(870\) −63.2900 99.3021i −2.14573 3.36666i
\(871\) −51.5998 64.7041i −1.74839 2.19242i
\(872\) −0.107325 1.43216i −0.00363450 0.0484990i
\(873\) 25.9594 + 14.5458i 0.878593 + 0.492300i
\(874\) 6.01268 2.89555i 0.203382 0.0979435i
\(875\) 48.9716 + 19.6224i 1.65554 + 0.663359i
\(876\) 45.5080 + 4.83136i 1.53757 + 0.163237i
\(877\) 39.7692 19.1518i 1.34291 0.646711i 0.382152 0.924100i \(-0.375183\pi\)
0.960758 + 0.277388i \(0.0894688\pi\)
\(878\) 40.6186 + 37.6885i 1.37081 + 1.27193i
\(879\) −43.4184 11.3352i −1.46447 0.382326i
\(880\) 21.7722 55.4747i 0.733942 1.87005i
\(881\) 19.3616 0.652310 0.326155 0.945316i \(-0.394247\pi\)
0.326155 + 0.945316i \(0.394247\pi\)
\(882\) 32.6087 + 26.0762i 1.09799 + 0.878031i
\(883\) −1.38799 −0.0467095 −0.0233547 0.999727i \(-0.507435\pi\)
−0.0233547 + 0.999727i \(0.507435\pi\)
\(884\) 19.7612 50.3507i 0.664641 1.69348i
\(885\) −6.02773 21.9307i −0.202620 0.737192i
\(886\) 7.09824 + 6.58620i 0.238470 + 0.221268i
\(887\) −35.3256 + 17.0119i −1.18612 + 0.571204i −0.919688 0.392650i \(-0.871558\pi\)
−0.266430 + 0.963854i \(0.585844\pi\)
\(888\) 0.231729 0.318245i 0.00777632 0.0106796i
\(889\) 19.3292 1.31056i 0.648279 0.0439546i
\(890\) −54.4159 + 26.2053i −1.82403 + 0.878404i
\(891\) −21.6842 25.8008i −0.726448 0.864360i
\(892\) −0.643087 8.58141i −0.0215322 0.287327i
\(893\) 0.185173 + 0.232200i 0.00619658 + 0.00777027i
\(894\) 14.2045 27.2998i 0.475071 0.913042i
\(895\) −12.6616 + 32.2612i −0.423230 + 1.07837i
\(896\) 1.84402 0.708656i 0.0616045 0.0236745i
\(897\) −45.1398 + 8.84196i −1.50718 + 0.295225i
\(898\) 1.25369 + 16.7294i 0.0418363 + 0.558267i
\(899\) −2.05194 + 1.90393i −0.0684362 + 0.0634995i
\(900\) 9.59724 + 58.5534i 0.319908 + 1.95178i
\(901\) −12.2335 + 21.1890i −0.407555 + 0.705907i
\(902\) 28.8563 + 8.90099i 0.960810 + 0.296371i
\(903\) −5.65247 1.98214i −0.188102 0.0659615i
\(904\) −1.17269 + 0.361725i −0.0390029 + 0.0120308i
\(905\) −4.31180 + 18.8912i −0.143329 + 0.627965i
\(906\) −41.7244 + 8.17296i −1.38620 + 0.271528i
\(907\) −4.70294 + 5.89730i −0.156159 + 0.195817i −0.853756 0.520673i \(-0.825681\pi\)
0.697597 + 0.716490i \(0.254252\pi\)
\(908\) −21.5599 20.0047i −0.715490 0.663878i
\(909\) 14.3530 + 28.8491i 0.476058 + 0.956865i
\(910\) −48.0587 + 98.0083i −1.59313 + 3.24894i
\(911\) 7.00476 + 2.16068i 0.232078 + 0.0715866i 0.408613 0.912708i \(-0.366013\pi\)
−0.176535 + 0.984294i \(0.556489\pi\)
\(912\) −4.50065 + 1.60741i −0.149032 + 0.0532265i
\(913\) −5.02445 + 8.70260i −0.166285 + 0.288014i
\(914\) 46.0295 + 14.1982i 1.52252 + 0.469636i
\(915\) −5.00609 11.2757i −0.165496 0.372763i
\(916\) 12.6021 + 32.1096i 0.416385 + 1.06093i
\(917\) −1.66419 + 2.40406i −0.0549563 + 0.0793889i
\(918\) 20.4931 49.5576i 0.676371 1.63564i
\(919\) −32.3275 9.97170i −1.06638 0.328936i −0.288589 0.957453i \(-0.593186\pi\)
−0.777796 + 0.628517i \(0.783662\pi\)
\(920\) −1.12687 1.41306i −0.0371520 0.0465871i
\(921\) 48.7270 + 5.17311i 1.60561 + 0.170460i
\(922\) −10.3079 + 12.9257i −0.339473 + 0.425686i
\(923\) −11.4354 7.79654i −0.376401 0.256626i
\(924\) −28.3904 + 17.8123i −0.933976 + 0.585982i
\(925\) −20.3703 + 13.8882i −0.669771 + 0.456642i
\(926\) 4.48810 59.8895i 0.147488 1.96809i
\(927\) 12.0710 + 24.2625i 0.396465 + 0.796885i
\(928\) 57.7397 + 39.3663i 1.89540 + 1.29226i
\(929\) 12.5182 31.8959i 0.410709 1.04647i −0.564549 0.825400i \(-0.690950\pi\)
0.975258 0.221070i \(-0.0709551\pi\)
\(930\) 4.01588 1.43427i 0.131686 0.0470315i
\(931\) 3.50554 3.16121i 0.114889 0.103604i
\(932\) −27.7550 48.0731i −0.909146 1.57469i
\(933\) 35.8961 19.2679i 1.17518 0.630804i
\(934\) 67.1595 32.3423i 2.19753 1.05827i
\(935\) 72.2444 22.2845i 2.36265 0.728780i
\(936\) 1.48858 0.130826i 0.0486557 0.00427618i
\(937\) −46.4123 22.3510i −1.51622 0.730175i −0.523663 0.851925i \(-0.675435\pi\)
−0.992561 + 0.121751i \(0.961149\pi\)
\(938\) −70.9526 + 40.2954i −2.31668 + 1.31569i
\(939\) −16.5291 4.31523i −0.539407 0.140822i
\(940\) −2.08586 + 2.61559i −0.0680333 + 0.0853110i
\(941\) 7.61619 5.19263i 0.248281 0.169275i −0.432785 0.901497i \(-0.642469\pi\)
0.681066 + 0.732222i \(0.261517\pi\)
\(942\) 8.63902 + 5.35108i 0.281474 + 0.174347i
\(943\) 14.7990 13.7315i 0.481923 0.447159i
\(944\) 8.61321 + 10.8006i 0.280336 + 0.351530i
\(945\) −24.4065 + 47.5742i −0.793942 + 1.54759i
\(946\) 6.06782 7.60881i 0.197282 0.247384i
\(947\) 2.93655 + 39.1855i 0.0954249 + 1.27336i 0.815212 + 0.579162i \(0.196620\pi\)
−0.719787 + 0.694195i \(0.755761\pi\)
\(948\) −5.26685 8.26369i −0.171059 0.268392i
\(949\) −36.0895 + 62.5089i −1.17151 + 2.02912i
\(950\) 13.5775 0.440513
\(951\) −2.01057 + 3.86413i −0.0651972 + 0.125303i
\(952\) 1.10582 + 0.648958i 0.0358398 + 0.0210329i
\(953\) −1.39270 + 6.10183i −0.0451141 + 0.197658i −0.992463 0.122546i \(-0.960894\pi\)
0.947349 + 0.320204i \(0.103751\pi\)
\(954\) 28.0603 + 1.74023i 0.908485 + 0.0563421i
\(955\) −102.898 15.5094i −3.32970 0.501871i
\(956\) 10.9536 13.7354i 0.354265 0.444234i
\(957\) 52.4129 + 22.4674i 1.69427 + 0.726269i
\(958\) 2.09862 0.647339i 0.0678034 0.0209146i
\(959\) −29.8689 + 43.1481i −0.964518 + 1.39333i
\(960\) −27.5895 43.2880i −0.890447 1.39711i
\(961\) 15.4493 + 26.7590i 0.498365 + 0.863194i
\(962\) −12.9126 22.3653i −0.416319 0.721086i
\(963\) −0.865103 + 0.352434i −0.0278776 + 0.0113570i
\(964\) 18.8354 12.8417i 0.606647 0.413605i
\(965\) −16.0412 40.8723i −0.516385 1.31573i
\(966\) 1.66534 + 45.3206i 0.0535813 + 1.45817i
\(967\) 12.4854 31.8123i 0.401504 1.02301i −0.576992 0.816750i \(-0.695774\pi\)
0.978496 0.206265i \(-0.0661310\pi\)
\(968\) 0.0628074 + 0.275177i 0.00201871 + 0.00884453i
\(969\) −5.15424 3.19258i −0.165578 0.102560i
\(970\) 69.1061 + 33.2797i 2.21886 + 1.06855i
\(971\) 4.26285 + 10.8616i 0.136801 + 0.348564i 0.982814 0.184599i \(-0.0590985\pi\)
−0.846013 + 0.533163i \(0.821003\pi\)
\(972\) −30.3713 + 2.11585i −0.974161 + 0.0678658i
\(973\) 1.02878 1.09309i 0.0329811 0.0350427i
\(974\) −61.9243 + 42.2193i −1.98418 + 1.35279i
\(975\) −90.5485 23.6394i −2.89987 0.757065i
\(976\) 5.49306 + 5.09682i 0.175829 + 0.163145i
\(977\) 4.04444 53.9694i 0.129393 1.72663i −0.434403 0.900719i \(-0.643041\pi\)
0.563796 0.825914i \(-0.309340\pi\)
\(978\) −2.17334 1.34618i −0.0694958 0.0430462i
\(979\) 14.6242 25.3298i 0.467390 0.809543i
\(980\) 43.5031 + 30.5739i 1.38966 + 0.976648i
\(981\) −43.1729 16.3065i −1.37841 0.520627i
\(982\) 61.2531 9.23242i 1.95466 0.294618i
\(983\) 38.4464 18.5148i 1.22625 0.590531i 0.295205 0.955434i \(-0.404612\pi\)
0.931046 + 0.364903i \(0.118898\pi\)
\(984\) −0.525181 + 0.392843i −0.0167422 + 0.0125234i
\(985\) 50.6899 24.4110i 1.61511 0.777798i
\(986\) 6.78086 + 90.4843i 0.215947 + 2.88161i
\(987\) −1.94985 + 0.521059i −0.0620643 + 0.0165855i
\(988\) −0.525109 + 7.00709i −0.0167059 + 0.222925i
\(989\) −2.37697 6.05642i −0.0755833 0.192583i
\(990\) −59.9031 62.9175i −1.90384 1.99965i
\(991\) −1.17507 + 2.99403i −0.0373273 + 0.0951084i −0.948322 0.317310i \(-0.897221\pi\)
0.910995 + 0.412418i \(0.135316\pi\)
\(992\) −1.85511 + 1.72129i −0.0588997 + 0.0546510i
\(993\) −1.61117 + 52.0084i −0.0511290 + 1.65044i
\(994\) −9.35230 + 9.93691i −0.296637 + 0.315180i
\(995\) 25.5029 + 3.84394i 0.808496 + 0.121861i
\(996\) 3.68344 + 8.29657i 0.116714 + 0.262887i
\(997\) −1.77489 7.77631i −0.0562114 0.246278i 0.939014 0.343878i \(-0.111741\pi\)
−0.995226 + 0.0975998i \(0.968883\pi\)
\(998\) 20.6561 + 35.7774i 0.653858 + 1.13252i
\(999\) −6.12571 11.0681i −0.193809 0.350181i
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 441.2.z.a.142.45 yes 648
9.4 even 3 441.2.y.a.436.45 yes 648
49.39 even 21 441.2.y.a.88.45 648
441.382 even 21 inner 441.2.z.a.382.45 yes 648
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
441.2.y.a.88.45 648 49.39 even 21
441.2.y.a.436.45 yes 648 9.4 even 3
441.2.z.a.142.45 yes 648 1.1 even 1 trivial
441.2.z.a.382.45 yes 648 441.382 even 21 inner