Properties

Label 67.2.e.c.14.2
Level $67$
Weight $2$
Character 67.14
Analytic conductor $0.535$
Analytic rank $0$
Dimension $20$
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] = [67,2,Mod(9,67)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(67, base_ring=CyclotomicField(22))
 
chi = DirichletCharacter(H, H._module([4]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("67.9");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 67 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 67.e (of order \(11\), degree \(10\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(0.534997693543\)
Analytic rank: \(0\)
Dimension: \(20\)
Relative dimension: \(2\) over \(\Q(\zeta_{11})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{20} - \cdots)\)
comment: defining polynomial
 
gp: f.mod \\ as an extension of the character field
 
Defining polynomial: \( x^{20} - 7 x^{19} + 39 x^{18} - 148 x^{17} + 492 x^{16} - 1282 x^{15} + 2921 x^{14} - 4316 x^{13} + 2696 x^{12} + 9361 x^{11} - 20998 x^{10} + 10813 x^{9} + 44155 x^{8} + \cdots + 4489 \) Copy content Toggle raw display
Coefficient ring: \(\Z[a_1, a_2, a_3]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{11}]$

Embedding invariants

Embedding label 14.2
Root \(1.66916 - 1.92631i\) of defining polynomial
Character \(\chi\) \(=\) 67.14
Dual form 67.2.e.c.24.2

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.797176 - 1.74557i) q^{2} +(0.802994 + 0.516053i) q^{3} +(-1.10181 + 1.27155i) q^{4} +(-0.451016 - 3.13689i) q^{5} +(0.260680 - 1.81307i) q^{6} +(1.40141 + 3.06866i) q^{7} +(-0.584585 - 0.171650i) q^{8} +(-0.867756 - 1.90012i) q^{9} +O(q^{10})\) \(q+(-0.797176 - 1.74557i) q^{2} +(0.802994 + 0.516053i) q^{3} +(-1.10181 + 1.27155i) q^{4} +(-0.451016 - 3.13689i) q^{5} +(0.260680 - 1.81307i) q^{6} +(1.40141 + 3.06866i) q^{7} +(-0.584585 - 0.171650i) q^{8} +(-0.867756 - 1.90012i) q^{9} +(-5.11612 + 3.28793i) q^{10} +(0.598388 + 4.16188i) q^{11} +(-1.54093 + 0.452459i) q^{12} +(1.65150 - 0.484925i) q^{13} +(4.23940 - 4.89252i) q^{14} +(1.25664 - 2.75165i) q^{15} +(0.645282 + 4.48803i) q^{16} +(3.22553 + 3.72246i) q^{17} +(-2.62504 + 3.02946i) q^{18} +(-0.0642876 + 0.140770i) q^{19} +(4.48565 + 2.88275i) q^{20} +(-0.458267 + 3.18732i) q^{21} +(6.78784 - 4.36228i) q^{22} +(-0.215503 - 0.138495i) q^{23} +(-0.380838 - 0.439511i) q^{24} +(-4.83917 + 1.42091i) q^{25} +(-2.16301 - 2.49625i) q^{26} +(0.691288 - 4.80801i) q^{27} +(-5.44605 - 1.59911i) q^{28} -9.45314 q^{29} -5.80496 q^{30} +(-6.77696 - 1.98990i) q^{31} +(6.29469 - 4.04535i) q^{32} +(-1.66725 + 3.65077i) q^{33} +(3.92651 - 8.59785i) q^{34} +(8.99398 - 5.78008i) q^{35} +(3.37221 + 0.990169i) q^{36} -0.210230 q^{37} +0.296973 q^{38} +(1.57639 + 0.462871i) q^{39} +(-0.274788 + 1.91119i) q^{40} +(1.99866 + 2.30658i) q^{41} +(5.92901 - 1.74091i) q^{42} +(-2.71169 - 3.12945i) q^{43} +(-5.95136 - 3.82471i) q^{44} +(-5.56909 + 3.57904i) q^{45} +(-0.0699596 + 0.486580i) q^{46} +(4.08294 + 2.62395i) q^{47} +(-1.79791 + 3.93686i) q^{48} +(-2.86870 + 3.31066i) q^{49} +(6.33797 + 7.31440i) q^{50} +(0.669096 + 4.65366i) q^{51} +(-1.20303 + 2.63427i) q^{52} +(6.51756 - 7.52166i) q^{53} +(-8.94380 + 2.62614i) q^{54} +(12.7855 - 3.75415i) q^{55} +(-0.292509 - 2.03444i) q^{56} +(-0.124268 + 0.0798619i) q^{57} +(7.53581 + 16.5011i) q^{58} +(-12.2983 - 3.61111i) q^{59} +(2.11430 + 4.62967i) q^{60} +(1.78213 - 12.3950i) q^{61} +(1.92892 + 13.4160i) q^{62} +(4.61474 - 5.32570i) q^{63} +(-4.45062 - 2.86024i) q^{64} +(-2.26601 - 4.96187i) q^{65} +7.70176 q^{66} +(1.38719 + 8.06695i) q^{67} -8.28723 q^{68} +(-0.101577 - 0.222422i) q^{69} +(-17.2593 - 11.0919i) q^{70} +(-0.0591972 + 0.0683172i) q^{71} +(0.181122 + 1.25973i) q^{72} +(-1.15465 + 8.03075i) q^{73} +(0.167591 + 0.366972i) q^{74} +(-4.61909 - 1.35629i) q^{75} +(-0.108164 - 0.236847i) q^{76} +(-11.9328 + 7.66875i) q^{77} +(-0.448689 - 3.12070i) q^{78} +(4.53757 - 1.33235i) q^{79} +(13.7874 - 4.04835i) q^{80} +(-1.06751 + 1.23197i) q^{81} +(2.43301 - 5.32755i) q^{82} +(1.11684 + 7.76780i) q^{83} +(-3.54793 - 4.09453i) q^{84} +(10.2222 - 11.7970i) q^{85} +(-3.30099 + 7.22817i) q^{86} +(-7.59082 - 4.87832i) q^{87} +(0.364577 - 2.53569i) q^{88} +(-13.6813 + 8.79241i) q^{89} +(10.6870 + 6.86812i) q^{90} +(3.80250 + 4.38832i) q^{91} +(0.413546 - 0.121428i) q^{92} +(-4.41497 - 5.09515i) q^{93} +(1.32546 - 9.21881i) q^{94} +(0.470575 + 0.138173i) q^{95} +7.14221 q^{96} +1.98762 q^{97} +(8.06585 + 2.36835i) q^{98} +(7.38882 - 4.74851i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 20 q - 4 q^{2} - 4 q^{3} - 4 q^{4} + q^{5} + 3 q^{6} - 8 q^{7} - 22 q^{8} + 10 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 20 q - 4 q^{2} - 4 q^{3} - 4 q^{4} + q^{5} + 3 q^{6} - 8 q^{7} - 22 q^{8} + 10 q^{9} - 9 q^{10} + 3 q^{12} + 12 q^{13} + 6 q^{14} - 11 q^{15} + 8 q^{16} - 4 q^{17} - 2 q^{18} + 4 q^{19} + 2 q^{20} - 53 q^{21} + 2 q^{23} + 11 q^{24} - 3 q^{25} - 31 q^{26} + 47 q^{27} - 5 q^{28} - 6 q^{29} + 44 q^{30} + 16 q^{32} + q^{33} - 8 q^{34} + 34 q^{35} + 9 q^{36} + 24 q^{37} - 14 q^{38} - 22 q^{39} - 11 q^{40} - 6 q^{41} + 59 q^{42} - 22 q^{43} - 22 q^{44} - 46 q^{45} + 15 q^{46} + 16 q^{47} + 5 q^{48} + 42 q^{49} - 17 q^{50} + 22 q^{51} + 2 q^{52} - q^{53} - 60 q^{54} + 20 q^{55} + 11 q^{56} - 52 q^{57} + 10 q^{58} - 26 q^{59} + 44 q^{60} - 26 q^{61} + 11 q^{62} - 42 q^{63} - 6 q^{64} + 9 q^{65} + 2 q^{66} - 22 q^{67} - 52 q^{68} + 62 q^{69} - 42 q^{70} + 20 q^{71} + 11 q^{72} - 55 q^{73} + 37 q^{74} - 70 q^{75} - 3 q^{76} - 70 q^{77} + 22 q^{78} - 34 q^{79} + 40 q^{80} + 42 q^{81} - 12 q^{82} + 56 q^{83} - 29 q^{84} + 41 q^{85} - 33 q^{86} - 10 q^{87} + 11 q^{88} - 3 q^{89} + 18 q^{90} + 12 q^{91} - 18 q^{92} - 69 q^{93} + 32 q^{94} + 74 q^{95} - 12 q^{96} - 14 q^{97} + 95 q^{98} + 81 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/67\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{4}{11}\right)\)

Coefficient data

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



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.797176 1.74557i −0.563688 1.23431i −0.950090 0.311975i \(-0.899010\pi\)
0.386402 0.922330i \(-0.373718\pi\)
\(3\) 0.802994 + 0.516053i 0.463609 + 0.297943i 0.751516 0.659715i \(-0.229323\pi\)
−0.287907 + 0.957658i \(0.592959\pi\)
\(4\) −1.10181 + 1.27155i −0.550904 + 0.635777i
\(5\) −0.451016 3.13689i −0.201701 1.40286i −0.799237 0.601016i \(-0.794763\pi\)
0.597536 0.801842i \(-0.296146\pi\)
\(6\) 0.260680 1.81307i 0.106422 0.740182i
\(7\) 1.40141 + 3.06866i 0.529683 + 1.15984i 0.965642 + 0.259878i \(0.0836823\pi\)
−0.435958 + 0.899967i \(0.643590\pi\)
\(8\) −0.584585 0.171650i −0.206682 0.0606873i
\(9\) −0.867756 1.90012i −0.289252 0.633374i
\(10\) −5.11612 + 3.28793i −1.61786 + 1.03973i
\(11\) 0.598388 + 4.16188i 0.180421 + 1.25485i 0.855770 + 0.517356i \(0.173084\pi\)
−0.675349 + 0.737498i \(0.736007\pi\)
\(12\) −1.54093 + 0.452459i −0.444830 + 0.130614i
\(13\) 1.65150 0.484925i 0.458045 0.134494i −0.0445670 0.999006i \(-0.514191\pi\)
0.502611 + 0.864512i \(0.332373\pi\)
\(14\) 4.23940 4.89252i 1.13303 1.30758i
\(15\) 1.25664 2.75165i 0.324462 0.710473i
\(16\) 0.645282 + 4.48803i 0.161320 + 1.12201i
\(17\) 3.22553 + 3.72246i 0.782306 + 0.902830i 0.997274 0.0737915i \(-0.0235099\pi\)
−0.214967 + 0.976621i \(0.568964\pi\)
\(18\) −2.62504 + 3.02946i −0.618728 + 0.714050i
\(19\) −0.0642876 + 0.140770i −0.0147486 + 0.0322949i −0.916863 0.399202i \(-0.869287\pi\)
0.902114 + 0.431497i \(0.142014\pi\)
\(20\) 4.48565 + 2.88275i 1.00302 + 0.644603i
\(21\) −0.458267 + 3.18732i −0.100002 + 0.695530i
\(22\) 6.78784 4.36228i 1.44717 0.930041i
\(23\) −0.215503 0.138495i −0.0449354 0.0288782i 0.517980 0.855393i \(-0.326684\pi\)
−0.562916 + 0.826514i \(0.690320\pi\)
\(24\) −0.380838 0.439511i −0.0777383 0.0897147i
\(25\) −4.83917 + 1.42091i −0.967834 + 0.284182i
\(26\) −2.16301 2.49625i −0.424201 0.489554i
\(27\) 0.691288 4.80801i 0.133038 0.925302i
\(28\) −5.44605 1.59911i −1.02921 0.302203i
\(29\) −9.45314 −1.75540 −0.877702 0.479206i \(-0.840925\pi\)
−0.877702 + 0.479206i \(0.840925\pi\)
\(30\) −5.80496 −1.05984
\(31\) −6.77696 1.98990i −1.21718 0.357396i −0.390781 0.920484i \(-0.627795\pi\)
−0.826397 + 0.563088i \(0.809613\pi\)
\(32\) 6.29469 4.04535i 1.11275 0.715123i
\(33\) −1.66725 + 3.65077i −0.290231 + 0.635517i
\(34\) 3.92651 8.59785i 0.673390 1.47452i
\(35\) 8.99398 5.78008i 1.52026 0.977012i
\(36\) 3.37221 + 0.990169i 0.562034 + 0.165028i
\(37\) −0.210230 −0.0345617 −0.0172808 0.999851i \(-0.505501\pi\)
−0.0172808 + 0.999851i \(0.505501\pi\)
\(38\) 0.296973 0.0481754
\(39\) 1.57639 + 0.462871i 0.252425 + 0.0741187i
\(40\) −0.274788 + 1.91119i −0.0434478 + 0.302186i
\(41\) 1.99866 + 2.30658i 0.312138 + 0.360227i 0.890042 0.455878i \(-0.150675\pi\)
−0.577904 + 0.816105i \(0.696129\pi\)
\(42\) 5.92901 1.74091i 0.914866 0.268629i
\(43\) −2.71169 3.12945i −0.413529 0.477237i 0.510326 0.859981i \(-0.329525\pi\)
−0.923855 + 0.382744i \(0.874979\pi\)
\(44\) −5.95136 3.82471i −0.897202 0.576597i
\(45\) −5.56909 + 3.57904i −0.830191 + 0.533531i
\(46\) −0.0699596 + 0.486580i −0.0103150 + 0.0717423i
\(47\) 4.08294 + 2.62395i 0.595558 + 0.382742i 0.803417 0.595417i \(-0.203013\pi\)
−0.207859 + 0.978159i \(0.566649\pi\)
\(48\) −1.79791 + 3.93686i −0.259505 + 0.568237i
\(49\) −2.86870 + 3.31066i −0.409815 + 0.472951i
\(50\) 6.33797 + 7.31440i 0.896324 + 1.03441i
\(51\) 0.669096 + 4.65366i 0.0936921 + 0.651643i
\(52\) −1.20303 + 2.63427i −0.166830 + 0.365307i
\(53\) 6.51756 7.52166i 0.895255 1.03318i −0.103999 0.994577i \(-0.533164\pi\)
0.999255 0.0386023i \(-0.0122905\pi\)
\(54\) −8.94380 + 2.62614i −1.21710 + 0.357372i
\(55\) 12.7855 3.75415i 1.72399 0.506209i
\(56\) −0.292509 2.03444i −0.0390882 0.271864i
\(57\) −0.124268 + 0.0798619i −0.0164596 + 0.0105780i
\(58\) 7.53581 + 16.5011i 0.989501 + 2.16670i
\(59\) −12.2983 3.61111i −1.60111 0.470127i −0.645252 0.763970i \(-0.723248\pi\)
−0.955854 + 0.293843i \(0.905066\pi\)
\(60\) 2.11430 + 4.62967i 0.272955 + 0.597688i
\(61\) 1.78213 12.3950i 0.228178 1.58701i −0.477599 0.878578i \(-0.658493\pi\)
0.705777 0.708434i \(-0.250598\pi\)
\(62\) 1.92892 + 13.4160i 0.244974 + 1.70383i
\(63\) 4.61474 5.32570i 0.581403 0.670975i
\(64\) −4.45062 2.86024i −0.556327 0.357530i
\(65\) −2.26601 4.96187i −0.281064 0.615444i
\(66\) 7.70176 0.948021
\(67\) 1.38719 + 8.06695i 0.169472 + 0.985535i
\(68\) −8.28723 −1.00497
\(69\) −0.101577 0.222422i −0.0122284 0.0267764i
\(70\) −17.2593 11.0919i −2.06288 1.32573i
\(71\) −0.0591972 + 0.0683172i −0.00702541 + 0.00810776i −0.759251 0.650797i \(-0.774435\pi\)
0.752226 + 0.658905i \(0.228980\pi\)
\(72\) 0.181122 + 1.25973i 0.0213454 + 0.148461i
\(73\) −1.15465 + 8.03075i −0.135141 + 0.939929i 0.803567 + 0.595215i \(0.202933\pi\)
−0.938708 + 0.344714i \(0.887976\pi\)
\(74\) 0.167591 + 0.366972i 0.0194820 + 0.0426597i
\(75\) −4.61909 1.35629i −0.533367 0.156611i
\(76\) −0.108164 0.236847i −0.0124073 0.0271682i
\(77\) −11.9328 + 7.66875i −1.35987 + 0.873935i
\(78\) −0.448689 3.12070i −0.0508040 0.353349i
\(79\) 4.53757 1.33235i 0.510517 0.149901i −0.0163217 0.999867i \(-0.505196\pi\)
0.526838 + 0.849966i \(0.323377\pi\)
\(80\) 13.7874 4.04835i 1.54148 0.452619i
\(81\) −1.06751 + 1.23197i −0.118612 + 0.136885i
\(82\) 2.43301 5.32755i 0.268681 0.588330i
\(83\) 1.11684 + 7.76780i 0.122589 + 0.852627i 0.954605 + 0.297875i \(0.0962778\pi\)
−0.832016 + 0.554752i \(0.812813\pi\)
\(84\) −3.54793 4.09453i −0.387110 0.446749i
\(85\) 10.2222 11.7970i 1.10875 1.27957i
\(86\) −3.30099 + 7.22817i −0.355955 + 0.779433i
\(87\) −7.59082 4.87832i −0.813821 0.523011i
\(88\) 0.364577 2.53569i 0.0388640 0.270305i
\(89\) −13.6813 + 8.79241i −1.45021 + 0.931993i −0.450989 + 0.892530i \(0.648929\pi\)
−0.999221 + 0.0394638i \(0.987435\pi\)
\(90\) 10.6870 + 6.86812i 1.12651 + 0.723963i
\(91\) 3.80250 + 4.38832i 0.398611 + 0.460021i
\(92\) 0.413546 0.121428i 0.0431152 0.0126598i
\(93\) −4.41497 5.09515i −0.457811 0.528342i
\(94\) 1.32546 9.21881i 0.136711 0.950848i
\(95\) 0.470575 + 0.138173i 0.0482800 + 0.0141763i
\(96\) 7.14221 0.728949
\(97\) 1.98762 0.201812 0.100906 0.994896i \(-0.467826\pi\)
0.100906 + 0.994896i \(0.467826\pi\)
\(98\) 8.06585 + 2.36835i 0.814774 + 0.239239i
\(99\) 7.38882 4.74851i 0.742604 0.477243i
\(100\) 3.52507 7.71883i 0.352507 0.771883i
\(101\) −3.19667 + 6.99972i −0.318080 + 0.696498i −0.999369 0.0355163i \(-0.988692\pi\)
0.681289 + 0.732015i \(0.261420\pi\)
\(102\) 7.58991 4.87774i 0.751513 0.482968i
\(103\) 2.22090 + 0.652116i 0.218832 + 0.0642549i 0.389311 0.921106i \(-0.372713\pi\)
−0.170479 + 0.985361i \(0.554531\pi\)
\(104\) −1.04868 −0.102832
\(105\) 10.2049 0.995900
\(106\) −18.3252 5.38077i −1.77990 0.522627i
\(107\) 1.79543 12.4875i 0.173571 1.20721i −0.697694 0.716396i \(-0.745790\pi\)
0.871264 0.490814i \(-0.163300\pi\)
\(108\) 5.35198 + 6.17651i 0.514994 + 0.594335i
\(109\) 15.6766 4.60307i 1.50155 0.440894i 0.575341 0.817913i \(-0.304869\pi\)
0.926205 + 0.377019i \(0.123051\pi\)
\(110\) −16.7454 19.3252i −1.59661 1.84259i
\(111\) −0.168814 0.108490i −0.0160231 0.0102974i
\(112\) −12.8679 + 8.26973i −1.21591 + 0.781416i
\(113\) 0.128861 0.896251i 0.0121223 0.0843122i −0.982862 0.184342i \(-0.940985\pi\)
0.994984 + 0.100030i \(0.0318938\pi\)
\(114\) 0.238468 + 0.153254i 0.0223345 + 0.0143535i
\(115\) −0.337248 + 0.738470i −0.0314485 + 0.0688627i
\(116\) 10.4155 12.0202i 0.967059 1.11605i
\(117\) −2.35452 2.71726i −0.217675 0.251211i
\(118\) 3.50047 + 24.3463i 0.322244 + 2.24126i
\(119\) −6.90268 + 15.1148i −0.632768 + 1.38557i
\(120\) −1.20693 + 1.39287i −0.110177 + 0.127151i
\(121\) −6.40876 + 1.88178i −0.582614 + 0.171071i
\(122\) −23.0570 + 6.77013i −2.08748 + 0.612939i
\(123\) 0.414597 + 2.88358i 0.0373829 + 0.260004i
\(124\) 9.99717 6.42479i 0.897772 0.576963i
\(125\) 0.0572238 + 0.125303i 0.00511825 + 0.0112074i
\(126\) −12.9751 3.80985i −1.15592 0.339408i
\(127\) −1.79814 3.93739i −0.159559 0.349386i 0.812920 0.582376i \(-0.197877\pi\)
−0.972479 + 0.232989i \(0.925149\pi\)
\(128\) 0.684919 4.76371i 0.0605388 0.421057i
\(129\) −0.562505 3.91231i −0.0495258 0.344460i
\(130\) −6.85488 + 7.91096i −0.601213 + 0.693837i
\(131\) 15.1221 + 9.71836i 1.32122 + 0.849097i 0.995351 0.0963172i \(-0.0307063\pi\)
0.325870 + 0.945414i \(0.394343\pi\)
\(132\) −2.80516 6.14244i −0.244158 0.534631i
\(133\) −0.522069 −0.0452692
\(134\) 12.9756 8.85222i 1.12092 0.764715i
\(135\) −15.3940 −1.32490
\(136\) −1.24664 2.72976i −0.106898 0.234075i
\(137\) −6.24620 4.01419i −0.533649 0.342955i 0.245901 0.969295i \(-0.420916\pi\)
−0.779550 + 0.626339i \(0.784552\pi\)
\(138\) −0.307278 + 0.354618i −0.0261573 + 0.0301871i
\(139\) 0.242425 + 1.68610i 0.0205622 + 0.143013i 0.997516 0.0704362i \(-0.0224391\pi\)
−0.976954 + 0.213450i \(0.931530\pi\)
\(140\) −2.55995 + 17.8049i −0.216356 + 1.50479i
\(141\) 1.92448 + 4.21403i 0.162071 + 0.354885i
\(142\) 0.166443 + 0.0488721i 0.0139676 + 0.00410125i
\(143\) 3.00644 + 6.58318i 0.251411 + 0.550514i
\(144\) 7.96786 5.12063i 0.663988 0.426719i
\(145\) 4.26352 + 29.6534i 0.354066 + 2.46258i
\(146\) 14.9387 4.38640i 1.23634 0.363021i
\(147\) −4.01203 + 1.17804i −0.330907 + 0.0971629i
\(148\) 0.231634 0.267319i 0.0190402 0.0219735i
\(149\) 6.34126 13.8854i 0.519496 1.13754i −0.450134 0.892961i \(-0.648624\pi\)
0.969630 0.244577i \(-0.0786490\pi\)
\(150\) 1.31473 + 9.14415i 0.107347 + 0.746617i
\(151\) −7.77283 8.97033i −0.632544 0.729995i 0.345494 0.938421i \(-0.387711\pi\)
−0.978038 + 0.208426i \(0.933166\pi\)
\(152\) 0.0617447 0.0712572i 0.00500816 0.00577972i
\(153\) 4.27415 9.35909i 0.345545 0.756638i
\(154\) 22.8989 + 14.7162i 1.84525 + 1.18587i
\(155\) −3.18556 + 22.1560i −0.255870 + 1.77961i
\(156\) −2.32545 + 1.49448i −0.186185 + 0.119654i
\(157\) 1.91845 + 1.23291i 0.153109 + 0.0983973i 0.614952 0.788564i \(-0.289175\pi\)
−0.461843 + 0.886962i \(0.652812\pi\)
\(158\) −5.94295 6.85853i −0.472796 0.545636i
\(159\) 9.11514 2.67645i 0.722877 0.212256i
\(160\) −15.5288 17.9212i −1.22766 1.41679i
\(161\) 0.122987 0.855393i 0.00969273 0.0674144i
\(162\) 3.00148 + 0.881313i 0.235818 + 0.0692425i
\(163\) −4.08535 −0.319989 −0.159995 0.987118i \(-0.551148\pi\)
−0.159995 + 0.987118i \(0.551148\pi\)
\(164\) −5.13508 −0.400982
\(165\) 12.2040 + 3.58342i 0.950080 + 0.278969i
\(166\) 12.6689 8.14183i 0.983300 0.631928i
\(167\) −3.93362 + 8.61342i −0.304392 + 0.666526i −0.998580 0.0532675i \(-0.983036\pi\)
0.694188 + 0.719794i \(0.255764\pi\)
\(168\) 0.814998 1.78460i 0.0628785 0.137685i
\(169\) −8.44399 + 5.42662i −0.649537 + 0.417432i
\(170\) −28.7414 8.43923i −2.20436 0.647260i
\(171\) 0.323266 0.0247208
\(172\) 6.96703 0.531231
\(173\) 5.39745 + 1.58483i 0.410361 + 0.120493i 0.480396 0.877052i \(-0.340493\pi\)
−0.0700353 + 0.997545i \(0.522311\pi\)
\(174\) −2.46424 + 17.1392i −0.186814 + 1.29932i
\(175\) −11.1420 12.8585i −0.842252 0.972011i
\(176\) −18.2925 + 5.37117i −1.37885 + 0.404867i
\(177\) −8.01196 9.24630i −0.602216 0.694994i
\(178\) 26.2541 + 16.8725i 1.96783 + 1.26465i
\(179\) 15.9030 10.2203i 1.18865 0.763899i 0.211693 0.977336i \(-0.432102\pi\)
0.976957 + 0.213437i \(0.0684660\pi\)
\(180\) 1.58513 11.0248i 0.118148 0.821741i
\(181\) 7.19238 + 4.62226i 0.534605 + 0.343570i 0.779926 0.625872i \(-0.215257\pi\)
−0.245321 + 0.969442i \(0.578893\pi\)
\(182\) 4.62887 10.1358i 0.343114 0.751316i
\(183\) 7.82750 9.03341i 0.578625 0.667769i
\(184\) 0.102207 + 0.117953i 0.00753479 + 0.00869562i
\(185\) 0.0948173 + 0.659469i 0.00697111 + 0.0484851i
\(186\) −5.37443 + 11.7684i −0.394073 + 0.862899i
\(187\) −13.5623 + 15.6518i −0.991775 + 1.14457i
\(188\) −7.83511 + 2.30059i −0.571434 + 0.167788i
\(189\) 15.7229 4.61667i 1.14368 0.335813i
\(190\) −0.133940 0.931570i −0.00971700 0.0675832i
\(191\) 2.64534 1.70006i 0.191410 0.123012i −0.441426 0.897298i \(-0.645527\pi\)
0.632836 + 0.774286i \(0.281891\pi\)
\(192\) −2.09778 4.59351i −0.151395 0.331508i
\(193\) 12.1572 + 3.56968i 0.875094 + 0.256951i 0.688281 0.725444i \(-0.258366\pi\)
0.186814 + 0.982395i \(0.440184\pi\)
\(194\) −1.58448 3.46953i −0.113759 0.249097i
\(195\) 0.740995 5.15373i 0.0530637 0.369066i
\(196\) −1.04892 7.29542i −0.0749231 0.521102i
\(197\) 4.70267 5.42717i 0.335051 0.386670i −0.563076 0.826405i \(-0.690382\pi\)
0.898127 + 0.439735i \(0.144928\pi\)
\(198\) −14.1790 9.11232i −1.00766 0.647584i
\(199\) −6.26816 13.7253i −0.444338 0.972964i −0.990782 0.135468i \(-0.956746\pi\)
0.546444 0.837496i \(-0.315981\pi\)
\(200\) 3.07280 0.217280
\(201\) −3.04907 + 7.19358i −0.215065 + 0.507396i
\(202\) 14.7668 1.03899
\(203\) −13.2477 29.0085i −0.929809 2.03600i
\(204\) −6.65460 4.27665i −0.465915 0.299425i
\(205\) 6.33404 7.30987i 0.442389 0.510544i
\(206\) −0.632135 4.39660i −0.0440429 0.306325i
\(207\) −0.0761537 + 0.529661i −0.00529305 + 0.0368140i
\(208\) 3.24204 + 7.09909i 0.224795 + 0.492233i
\(209\) −0.624338 0.183322i −0.0431864 0.0126807i
\(210\) −8.13513 17.8135i −0.561377 1.22924i
\(211\) −4.40588 + 2.83149i −0.303313 + 0.194928i −0.683440 0.730007i \(-0.739517\pi\)
0.380126 + 0.924935i \(0.375880\pi\)
\(212\) 2.38310 + 16.5749i 0.163672 + 1.13837i
\(213\) −0.0827903 + 0.0243094i −0.00567270 + 0.00166565i
\(214\) −23.2290 + 6.82066i −1.58791 + 0.466251i
\(215\) −8.59373 + 9.91769i −0.586087 + 0.676381i
\(216\) −1.22941 + 2.69203i −0.0836507 + 0.183170i
\(217\) −3.39099 23.5849i −0.230195 1.60104i
\(218\) −20.5320 23.6952i −1.39060 1.60484i
\(219\) −5.07147 + 5.85279i −0.342698 + 0.395495i
\(220\) −9.31352 + 20.3938i −0.627917 + 1.37495i
\(221\) 7.13209 + 4.58352i 0.479756 + 0.308321i
\(222\) −0.0548029 + 0.381162i −0.00367813 + 0.0255819i
\(223\) −3.41537 + 2.19493i −0.228710 + 0.146983i −0.649978 0.759953i \(-0.725222\pi\)
0.421267 + 0.906936i \(0.361585\pi\)
\(224\) 21.2352 + 13.6471i 1.41884 + 0.911833i
\(225\) 6.89912 + 7.96201i 0.459941 + 0.530800i
\(226\) −1.66719 + 0.489532i −0.110900 + 0.0325632i
\(227\) 4.57279 + 5.27728i 0.303507 + 0.350265i 0.886931 0.461902i \(-0.152833\pi\)
−0.583424 + 0.812168i \(0.698287\pi\)
\(228\) 0.0353702 0.246005i 0.00234245 0.0162921i
\(229\) −17.5677 5.15834i −1.16090 0.340872i −0.356121 0.934440i \(-0.615901\pi\)
−0.804784 + 0.593568i \(0.797719\pi\)
\(230\) 1.55790 0.102725
\(231\) −13.5395 −0.890831
\(232\) 5.52617 + 1.62263i 0.362811 + 0.106531i
\(233\) 7.87730 5.06243i 0.516059 0.331651i −0.256552 0.966530i \(-0.582587\pi\)
0.772611 + 0.634879i \(0.218950\pi\)
\(234\) −2.86620 + 6.27611i −0.187370 + 0.410282i
\(235\) 6.38955 13.9912i 0.416808 0.912683i
\(236\) 18.1421 11.6592i 1.18095 0.758951i
\(237\) 4.33121 + 1.27176i 0.281342 + 0.0826095i
\(238\) 31.8865 2.06690
\(239\) −6.22139 −0.402428 −0.201214 0.979547i \(-0.564489\pi\)
−0.201214 + 0.979547i \(0.564489\pi\)
\(240\) 13.1604 + 3.86424i 0.849499 + 0.249435i
\(241\) −0.383421 + 2.66675i −0.0246983 + 0.171781i −0.998437 0.0558876i \(-0.982201\pi\)
0.973739 + 0.227668i \(0.0731102\pi\)
\(242\) 8.39369 + 9.68683i 0.539567 + 0.622693i
\(243\) −15.4750 + 4.54388i −0.992724 + 0.291490i
\(244\) 13.7973 + 15.9229i 0.883282 + 1.01936i
\(245\) 11.6790 + 7.50563i 0.746143 + 0.479517i
\(246\) 4.70299 3.02243i 0.299852 0.192703i
\(247\) −0.0379082 + 0.263657i −0.00241204 + 0.0167761i
\(248\) 3.62014 + 2.32653i 0.229879 + 0.147735i
\(249\) −3.11178 + 6.81385i −0.197201 + 0.431810i
\(250\) 0.173107 0.199776i 0.0109483 0.0126350i
\(251\) 9.05314 + 10.4479i 0.571429 + 0.659465i 0.965740 0.259513i \(-0.0835619\pi\)
−0.394310 + 0.918977i \(0.629016\pi\)
\(252\) 1.68735 + 11.7358i 0.106293 + 0.739285i
\(253\) 0.447446 0.979770i 0.0281307 0.0615976i
\(254\) −5.43955 + 6.27758i −0.341308 + 0.393890i
\(255\) 14.2962 4.19775i 0.895265 0.262873i
\(256\) −19.0137 + 5.58293i −1.18836 + 0.348933i
\(257\) −1.03527 7.20045i −0.0645783 0.449152i −0.996298 0.0859724i \(-0.972600\pi\)
0.931719 0.363179i \(-0.118309\pi\)
\(258\) −6.38080 + 4.10069i −0.397251 + 0.255298i
\(259\) −0.294619 0.645126i −0.0183067 0.0400862i
\(260\) 8.80599 + 2.58567i 0.546124 + 0.160357i
\(261\) 8.20302 + 17.9621i 0.507754 + 1.11183i
\(262\) 4.90915 34.1439i 0.303288 2.10942i
\(263\) 2.91480 + 20.2729i 0.179734 + 1.25008i 0.857378 + 0.514688i \(0.172092\pi\)
−0.677643 + 0.735391i \(0.736999\pi\)
\(264\) 1.60130 1.84800i 0.0985533 0.113737i
\(265\) −26.5341 17.0524i −1.62998 1.04752i
\(266\) 0.416181 + 0.911309i 0.0255177 + 0.0558760i
\(267\) −15.5233 −0.950012
\(268\) −11.7860 7.12434i −0.719943 0.435188i
\(269\) 6.18415 0.377054 0.188527 0.982068i \(-0.439629\pi\)
0.188527 + 0.982068i \(0.439629\pi\)
\(270\) 12.2717 + 26.8713i 0.746831 + 1.63533i
\(271\) 6.63095 + 4.26145i 0.402801 + 0.258865i 0.726319 0.687357i \(-0.241229\pi\)
−0.323518 + 0.946222i \(0.604866\pi\)
\(272\) −14.6252 + 16.8783i −0.886780 + 1.02340i
\(273\) 0.788781 + 5.48609i 0.0477392 + 0.332033i
\(274\) −2.02773 + 14.1032i −0.122500 + 0.852006i
\(275\) −8.80935 19.2898i −0.531224 1.16322i
\(276\) 0.394739 + 0.115906i 0.0237605 + 0.00697671i
\(277\) −9.86976 21.6118i −0.593016 1.29852i −0.933602 0.358311i \(-0.883353\pi\)
0.340586 0.940213i \(-0.389375\pi\)
\(278\) 2.74996 1.76729i 0.164932 0.105995i
\(279\) 2.09971 + 14.6038i 0.125706 + 0.874306i
\(280\) −6.24989 + 1.83513i −0.373503 + 0.109670i
\(281\) −13.6183 + 3.99869i −0.812399 + 0.238542i −0.661440 0.749998i \(-0.730054\pi\)
−0.150959 + 0.988540i \(0.548236\pi\)
\(282\) 5.82174 6.71864i 0.346679 0.400089i
\(283\) 2.39697 5.24862i 0.142485 0.311998i −0.824913 0.565260i \(-0.808776\pi\)
0.967398 + 0.253261i \(0.0815033\pi\)
\(284\) −0.0216451 0.150545i −0.00128440 0.00893319i
\(285\) 0.306564 + 0.353794i 0.0181593 + 0.0209569i
\(286\) 9.09476 10.4959i 0.537784 0.620636i
\(287\) −4.27716 + 9.36568i −0.252473 + 0.552838i
\(288\) −13.1489 8.45029i −0.774806 0.497938i
\(289\) −1.03332 + 7.18688i −0.0607834 + 0.422758i
\(290\) 48.3634 31.0813i 2.84000 1.82515i
\(291\) 1.59605 + 1.02572i 0.0935618 + 0.0601285i
\(292\) −8.93934 10.3165i −0.523135 0.603730i
\(293\) 5.98076 1.75611i 0.349400 0.102593i −0.102323 0.994751i \(-0.532628\pi\)
0.451723 + 0.892158i \(0.350809\pi\)
\(294\) 5.25464 + 6.06418i 0.306457 + 0.353670i
\(295\) −5.78091 + 40.2071i −0.336578 + 2.34095i
\(296\) 0.122898 + 0.0360860i 0.00714328 + 0.00209746i
\(297\) 20.4240 1.18512
\(298\) −29.2931 −1.69690
\(299\) −0.423063 0.124222i −0.0244664 0.00718397i
\(300\) 6.81394 4.37906i 0.393403 0.252825i
\(301\) 5.80305 12.7069i 0.334482 0.732414i
\(302\) −9.46203 + 20.7190i −0.544479 + 1.19224i
\(303\) −6.17913 + 3.97109i −0.354982 + 0.228133i
\(304\) −0.673265 0.197688i −0.0386144 0.0113382i
\(305\) −39.6854 −2.27238
\(306\) −19.7442 −1.12870
\(307\) −20.5215 6.02566i −1.17122 0.343903i −0.362440 0.932007i \(-0.618056\pi\)
−0.808785 + 0.588105i \(0.799874\pi\)
\(308\) 3.39643 23.6227i 0.193530 1.34603i
\(309\) 1.44685 + 1.66975i 0.0823082 + 0.0949887i
\(310\) 41.2144 12.1016i 2.34082 0.687326i
\(311\) −2.49852 2.88345i −0.141678 0.163506i 0.680476 0.732771i \(-0.261773\pi\)
−0.822154 + 0.569265i \(0.807228\pi\)
\(312\) −0.842085 0.541175i −0.0476737 0.0306380i
\(313\) 3.55971 2.28769i 0.201207 0.129308i −0.436158 0.899870i \(-0.643661\pi\)
0.637364 + 0.770563i \(0.280025\pi\)
\(314\) 0.622796 4.33164i 0.0351464 0.244449i
\(315\) −18.7874 12.0739i −1.05855 0.680290i
\(316\) −3.30537 + 7.23776i −0.185942 + 0.407156i
\(317\) 5.55718 6.41333i 0.312122 0.360208i −0.577914 0.816098i \(-0.696133\pi\)
0.890037 + 0.455889i \(0.150679\pi\)
\(318\) −11.9383 13.7775i −0.669466 0.772605i
\(319\) −5.65665 39.3429i −0.316711 2.20278i
\(320\) −6.96494 + 15.2511i −0.389352 + 0.852562i
\(321\) 7.88592 9.10084i 0.440149 0.507959i
\(322\) −1.59119 + 0.467216i −0.0886736 + 0.0260369i
\(323\) −0.731374 + 0.214751i −0.0406947 + 0.0119490i
\(324\) −0.390327 2.71478i −0.0216848 0.150821i
\(325\) −7.30287 + 4.69327i −0.405090 + 0.260336i
\(326\) 3.25674 + 7.13126i 0.180374 + 0.394964i
\(327\) 14.9637 + 4.39373i 0.827492 + 0.242974i
\(328\) −0.772464 1.69146i −0.0426522 0.0933953i
\(329\) −2.33013 + 16.2064i −0.128464 + 0.893487i
\(330\) −3.47362 24.1595i −0.191216 1.32994i
\(331\) 10.0364 11.5826i 0.551649 0.636637i −0.409618 0.912257i \(-0.634338\pi\)
0.961267 + 0.275620i \(0.0888833\pi\)
\(332\) −11.1077 7.13850i −0.609616 0.391776i
\(333\) 0.182429 + 0.399463i 0.00999703 + 0.0218904i
\(334\) 18.1711 0.994279
\(335\) 24.6795 7.98978i 1.34838 0.436528i
\(336\) −14.6005 −0.796523
\(337\) 9.63638 + 21.1007i 0.524927 + 1.14943i 0.967540 + 0.252717i \(0.0813241\pi\)
−0.442613 + 0.896713i \(0.645949\pi\)
\(338\) 16.2039 + 10.4136i 0.881375 + 0.566426i
\(339\) 0.565988 0.653185i 0.0307402 0.0354761i
\(340\) 3.73767 + 25.9961i 0.202704 + 1.40984i
\(341\) 4.22645 29.3956i 0.228875 1.59186i
\(342\) −0.257700 0.564284i −0.0139348 0.0305130i
\(343\) 8.47855 + 2.48953i 0.457799 + 0.134422i
\(344\) 1.04804 + 2.29489i 0.0565066 + 0.123732i
\(345\) −0.651898 + 0.418950i −0.0350970 + 0.0225555i
\(346\) −1.53627 10.6850i −0.0825906 0.574431i
\(347\) 9.96384 2.92565i 0.534887 0.157057i −0.00312362 0.999995i \(-0.500994\pi\)
0.538010 + 0.842938i \(0.319176\pi\)
\(348\) 14.5667 4.27716i 0.780856 0.229280i
\(349\) −8.85734 + 10.2219i −0.474122 + 0.547166i −0.941554 0.336863i \(-0.890634\pi\)
0.467431 + 0.884029i \(0.345180\pi\)
\(350\) −13.5633 + 29.6995i −0.724990 + 1.58751i
\(351\) −1.18986 8.27567i −0.0635101 0.441722i
\(352\) 20.6029 + 23.7770i 1.09814 + 1.26732i
\(353\) 20.3415 23.4753i 1.08267 1.24946i 0.116049 0.993243i \(-0.462977\pi\)
0.966618 0.256221i \(-0.0824776\pi\)
\(354\) −9.75313 + 21.3564i −0.518373 + 1.13508i
\(355\) 0.241002 + 0.154883i 0.0127911 + 0.00822032i
\(356\) 3.89409 27.0840i 0.206386 1.43545i
\(357\) −13.3428 + 8.57492i −0.706178 + 0.453833i
\(358\) −30.5177 19.6126i −1.61291 1.03656i
\(359\) 19.0812 + 22.0209i 1.00707 + 1.16222i 0.986721 + 0.162426i \(0.0519317\pi\)
0.0203473 + 0.999793i \(0.493523\pi\)
\(360\) 3.86995 1.13632i 0.203964 0.0598893i
\(361\) 12.4267 + 14.3411i 0.654035 + 0.754797i
\(362\) 2.33490 16.2396i 0.122719 0.853532i
\(363\) −6.11730 1.79620i −0.321075 0.0942761i
\(364\) −9.76962 −0.512067
\(365\) 25.7123 1.34584
\(366\) −22.0084 6.46224i −1.15040 0.337786i
\(367\) −11.5123 + 7.39849i −0.600936 + 0.386198i −0.805448 0.592666i \(-0.798075\pi\)
0.204513 + 0.978864i \(0.434439\pi\)
\(368\) 0.482511 1.05655i 0.0251526 0.0550765i
\(369\) 2.64843 5.79924i 0.137872 0.301897i
\(370\) 1.07556 0.691223i 0.0559159 0.0359350i
\(371\) 32.2152 + 9.45924i 1.67253 + 0.491099i
\(372\) 11.3432 0.588118
\(373\) −29.9015 −1.54824 −0.774120 0.633039i \(-0.781807\pi\)
−0.774120 + 0.633039i \(0.781807\pi\)
\(374\) 38.1328 + 11.1968i 1.97180 + 0.578973i
\(375\) −0.0187124 + 0.130148i −0.000966306 + 0.00672081i
\(376\) −1.93643 2.23476i −0.0998636 0.115249i
\(377\) −15.6119 + 4.58407i −0.804053 + 0.236091i
\(378\) −20.5927 23.7652i −1.05917 1.22235i
\(379\) −1.29495 0.832214i −0.0665171 0.0427480i 0.506960 0.861970i \(-0.330769\pi\)
−0.573477 + 0.819222i \(0.694406\pi\)
\(380\) −0.694178 + 0.446121i −0.0356106 + 0.0228855i
\(381\) 0.588001 4.08964i 0.0301242 0.209518i
\(382\) −5.07638 3.26239i −0.259730 0.166918i
\(383\) −7.99828 + 17.5138i −0.408693 + 0.894913i 0.587621 + 0.809136i \(0.300064\pi\)
−0.996314 + 0.0857767i \(0.972663\pi\)
\(384\) 3.00832 3.47178i 0.153517 0.177169i
\(385\) 29.4379 + 33.9731i 1.50029 + 1.73143i
\(386\) −3.46030 24.0669i −0.176125 1.22497i
\(387\) −3.59326 + 7.86814i −0.182656 + 0.399960i
\(388\) −2.18997 + 2.52736i −0.111179 + 0.128307i
\(389\) −34.6895 + 10.1857i −1.75883 + 0.516438i −0.992090 0.125525i \(-0.959939\pi\)
−0.766736 + 0.641963i \(0.778120\pi\)
\(390\) −9.58691 + 2.81497i −0.485452 + 0.142542i
\(391\) −0.179568 1.24892i −0.00908113 0.0631606i
\(392\) 2.24527 1.44295i 0.113403 0.0728800i
\(393\) 7.12774 + 15.6076i 0.359547 + 0.787298i
\(394\) −13.2224 3.88244i −0.666133 0.195594i
\(395\) −6.22595 13.6329i −0.313261 0.685947i
\(396\) −2.10308 + 14.6272i −0.105684 + 0.735046i
\(397\) −0.965354 6.71418i −0.0484497 0.336975i −0.999601 0.0282497i \(-0.991007\pi\)
0.951151 0.308725i \(-0.0999024\pi\)
\(398\) −18.9617 + 21.8830i −0.950467 + 1.09690i
\(399\) −0.419219 0.269416i −0.0209872 0.0134876i
\(400\) −9.49971 20.8015i −0.474986 1.04007i
\(401\) 2.58618 0.129148 0.0645738 0.997913i \(-0.479431\pi\)
0.0645738 + 0.997913i \(0.479431\pi\)
\(402\) 14.9875 0.412180i 0.747511 0.0205577i
\(403\) −12.1571 −0.605589
\(404\) −5.37841 11.7771i −0.267586 0.585932i
\(405\) 4.34600 + 2.79301i 0.215955 + 0.138786i
\(406\) −40.0756 + 46.2497i −1.98892 + 2.29533i
\(407\) −0.125799 0.874954i −0.00623564 0.0433699i
\(408\) 0.407656 2.83531i 0.0201820 0.140369i
\(409\) 11.3332 + 24.8162i 0.560391 + 1.22708i 0.951758 + 0.306850i \(0.0992749\pi\)
−0.391367 + 0.920235i \(0.627998\pi\)
\(410\) −17.8092 5.22927i −0.879536 0.258255i
\(411\) −2.94413 6.44674i −0.145223 0.317994i
\(412\) −3.27621 + 2.10549i −0.161407 + 0.103730i
\(413\) −6.15372 42.8001i −0.302805 2.10605i
\(414\) 0.985268 0.289301i 0.0484233 0.0142184i
\(415\) 23.8630 7.00681i 1.17139 0.343951i
\(416\) 8.43400 9.73336i 0.413511 0.477217i
\(417\) −0.675453 + 1.47904i −0.0330771 + 0.0724287i
\(418\) 0.177705 + 1.23597i 0.00869184 + 0.0604531i
\(419\) −3.30483 3.81398i −0.161452 0.186325i 0.669260 0.743029i \(-0.266611\pi\)
−0.830711 + 0.556704i \(0.812066\pi\)
\(420\) −11.2439 + 12.9761i −0.548645 + 0.633171i
\(421\) 11.4739 25.1243i 0.559204 1.22449i −0.393145 0.919476i \(-0.628613\pi\)
0.952349 0.305009i \(-0.0986596\pi\)
\(422\) 8.45482 + 5.43359i 0.411574 + 0.264503i
\(423\) 1.44282 10.0350i 0.0701523 0.487920i
\(424\) −5.10116 + 3.27831i −0.247734 + 0.159209i
\(425\) −20.8982 13.4304i −1.01371 0.651472i
\(426\) 0.108432 + 0.125137i 0.00525356 + 0.00606293i
\(427\) 40.5334 11.9017i 1.96155 0.575963i
\(428\) 13.9003 + 16.0418i 0.671896 + 0.775409i
\(429\) −0.983119 + 6.83774i −0.0474654 + 0.330129i
\(430\) 24.1627 + 7.09482i 1.16523 + 0.342143i
\(431\) −21.5609 −1.03855 −0.519276 0.854607i \(-0.673798\pi\)
−0.519276 + 0.854607i \(0.673798\pi\)
\(432\) 22.0246 1.05966
\(433\) 15.3946 + 4.52027i 0.739818 + 0.217230i 0.629863 0.776706i \(-0.283111\pi\)
0.109955 + 0.993937i \(0.464929\pi\)
\(434\) −38.4658 + 24.7205i −1.84642 + 1.18662i
\(435\) −11.8792 + 26.0117i −0.569562 + 1.24717i
\(436\) −11.4196 + 25.0053i −0.546898 + 1.19754i
\(437\) 0.0333501 0.0214328i 0.00159535 0.00102527i
\(438\) 14.2593 + 4.18691i 0.681336 + 0.200058i
\(439\) 19.3905 0.925460 0.462730 0.886499i \(-0.346870\pi\)
0.462730 + 0.886499i \(0.346870\pi\)
\(440\) −8.11859 −0.387038
\(441\) 8.77999 + 2.57804i 0.418095 + 0.122764i
\(442\) 2.31533 16.1034i 0.110129 0.765962i
\(443\) −6.28367 7.25174i −0.298546 0.344541i 0.586580 0.809891i \(-0.300474\pi\)
−0.885127 + 0.465350i \(0.845928\pi\)
\(444\) 0.323951 0.0951207i 0.0153741 0.00451423i
\(445\) 33.7512 + 38.9510i 1.59996 + 1.84645i
\(446\) 6.55405 + 4.21203i 0.310343 + 0.199446i
\(447\) 12.2576 7.87749i 0.579765 0.372592i
\(448\) 2.53996 17.6658i 0.120002 0.834630i
\(449\) −2.89707 1.86183i −0.136721 0.0878654i 0.470492 0.882404i \(-0.344076\pi\)
−0.607213 + 0.794539i \(0.707713\pi\)
\(450\) 8.39844 18.3900i 0.395906 0.866914i
\(451\) −8.40373 + 9.69842i −0.395716 + 0.456681i
\(452\) 0.997651 + 1.15135i 0.0469255 + 0.0541550i
\(453\) −1.61238 11.2143i −0.0757560 0.526894i
\(454\) 5.56655 12.1890i 0.261251 0.572060i
\(455\) 12.0507 13.9072i 0.564944 0.651981i
\(456\) 0.0863532 0.0253556i 0.00404386 0.00118738i
\(457\) −15.8967 + 4.66769i −0.743616 + 0.218345i −0.631528 0.775353i \(-0.717572\pi\)
−0.112088 + 0.993698i \(0.535754\pi\)
\(458\) 5.00028 + 34.7777i 0.233648 + 1.62506i
\(459\) 20.1274 12.9351i 0.939467 0.603759i
\(460\) −0.567422 1.24248i −0.0264562 0.0579310i
\(461\) −2.40080 0.704939i −0.111816 0.0328323i 0.225346 0.974279i \(-0.427649\pi\)
−0.337162 + 0.941447i \(0.609467\pi\)
\(462\) 10.7933 + 23.6341i 0.502151 + 1.09956i
\(463\) −2.98479 + 20.7597i −0.138715 + 0.964784i 0.794960 + 0.606662i \(0.207492\pi\)
−0.933675 + 0.358122i \(0.883417\pi\)
\(464\) −6.09994 42.4260i −0.283183 1.96958i
\(465\) −13.9917 + 16.1472i −0.648848 + 0.748811i
\(466\) −15.1164 9.71474i −0.700255 0.450027i
\(467\) 15.1370 + 33.1454i 0.700458 + 1.53379i 0.839416 + 0.543490i \(0.182897\pi\)
−0.138958 + 0.990298i \(0.544375\pi\)
\(468\) 6.04937 0.279632
\(469\) −22.8107 + 15.5619i −1.05330 + 0.718583i
\(470\) −29.5162 −1.36148
\(471\) 0.904257 + 1.98005i 0.0416660 + 0.0912357i
\(472\) 6.56957 + 4.22201i 0.302389 + 0.194334i
\(473\) 11.4018 13.1583i 0.524254 0.605022i
\(474\) −1.23279 8.57424i −0.0566239 0.393828i
\(475\) 0.111077 0.772558i 0.00509657 0.0354474i
\(476\) −11.6138 25.4307i −0.532318 1.16561i
\(477\) −19.9477 5.85718i −0.913343 0.268182i
\(478\) 4.95954 + 10.8599i 0.226844 + 0.496719i
\(479\) −0.0352892 + 0.0226790i −0.00161241 + 0.00103623i −0.541447 0.840735i \(-0.682123\pi\)
0.539834 + 0.841771i \(0.318487\pi\)
\(480\) −3.22125 22.4043i −0.147029 1.02261i
\(481\) −0.347196 + 0.101946i −0.0158308 + 0.00464834i
\(482\) 4.96066 1.45658i 0.225952 0.0663455i
\(483\) 0.540186 0.623408i 0.0245793 0.0283660i
\(484\) 4.66843 10.2224i 0.212202 0.464657i
\(485\) −0.896447 6.23493i −0.0407056 0.283113i
\(486\) 20.2680 + 23.3905i 0.919375 + 1.06101i
\(487\) 9.73604 11.2360i 0.441182 0.509151i −0.490991 0.871165i \(-0.663365\pi\)
0.932173 + 0.362014i \(0.117911\pi\)
\(488\) −3.16940 + 6.94001i −0.143472 + 0.314159i
\(489\) −3.28051 2.10826i −0.148350 0.0953386i
\(490\) 3.79141 26.3698i 0.171278 1.19127i
\(491\) 29.3907 18.8883i 1.32639 0.852416i 0.330569 0.943782i \(-0.392760\pi\)
0.995817 + 0.0913655i \(0.0291232\pi\)
\(492\) −4.12344 2.64997i −0.185899 0.119470i
\(493\) −30.4914 35.1890i −1.37326 1.58483i
\(494\) 0.490452 0.144010i 0.0220665 0.00647930i
\(495\) −18.2280 21.0362i −0.819288 0.945508i
\(496\) 4.55767 31.6993i 0.204645 1.42334i
\(497\) −0.292602 0.0859156i −0.0131250 0.00385384i
\(498\) 14.3747 0.644146
\(499\) 9.61045 0.430223 0.215111 0.976590i \(-0.430989\pi\)
0.215111 + 0.976590i \(0.430989\pi\)
\(500\) −0.222379 0.0652963i −0.00994508 0.00292014i
\(501\) −7.60365 + 4.88657i −0.339706 + 0.218316i
\(502\) 11.0206 24.1317i 0.491873 1.07705i
\(503\) −5.84867 + 12.8068i −0.260779 + 0.571027i −0.994052 0.108908i \(-0.965265\pi\)
0.733273 + 0.679935i \(0.237992\pi\)
\(504\) −3.61186 + 2.32120i −0.160885 + 0.103395i
\(505\) 23.3991 + 6.87059i 1.04124 + 0.305737i
\(506\) −2.06695 −0.0918872
\(507\) −9.58090 −0.425503
\(508\) 6.98781 + 2.05181i 0.310034 + 0.0910341i
\(509\) −2.59033 + 18.0161i −0.114814 + 0.798550i 0.848311 + 0.529498i \(0.177620\pi\)
−0.963126 + 0.269052i \(0.913290\pi\)
\(510\) −18.7241 21.6087i −0.829116 0.956851i
\(511\) −26.2618 + 7.71116i −1.16175 + 0.341122i
\(512\) 18.5994 + 21.4648i 0.821984 + 0.948620i
\(513\) 0.632384 + 0.406408i 0.0279204 + 0.0179434i
\(514\) −11.7436 + 7.54716i −0.517988 + 0.332891i
\(515\) 1.04395 7.26083i 0.0460020 0.319951i
\(516\) 5.59448 + 3.59536i 0.246283 + 0.158277i
\(517\) −8.47737 + 18.5629i −0.372834 + 0.816393i
\(518\) −0.891250 + 1.02856i −0.0391593 + 0.0451922i
\(519\) 3.51626 + 4.05798i 0.154347 + 0.178126i
\(520\) 0.472972 + 3.28959i 0.0207412 + 0.144258i
\(521\) 8.31122 18.1990i 0.364121 0.797314i −0.635560 0.772052i \(-0.719231\pi\)
0.999681 0.0252621i \(-0.00804203\pi\)
\(522\) 24.8149 28.6379i 1.08612 1.25345i
\(523\) −21.6361 + 6.35293i −0.946080 + 0.277794i −0.718154 0.695884i \(-0.755013\pi\)
−0.227926 + 0.973678i \(0.573194\pi\)
\(524\) −29.0190 + 8.52076i −1.26770 + 0.372231i
\(525\) −2.31126 16.0751i −0.100871 0.701577i
\(526\) 33.0641 21.2490i 1.44166 0.926502i
\(527\) −14.4520 31.6455i −0.629539 1.37850i
\(528\) −17.4606 5.12690i −0.759875 0.223120i
\(529\) −9.52728 20.8618i −0.414230 0.907037i
\(530\) −8.61390 + 59.9110i −0.374164 + 2.60237i
\(531\) 3.81039 + 26.5019i 0.165357 + 1.15008i
\(532\) 0.575220 0.663839i 0.0249390 0.0287811i
\(533\) 4.41931 + 2.84012i 0.191422 + 0.123019i
\(534\) 12.3748 + 27.0971i 0.535510 + 1.17260i
\(535\) −39.9816 −1.72855
\(536\) 0.573758 4.95393i 0.0247826 0.213977i
\(537\) 18.0443 0.778667
\(538\) −4.92985 10.7949i −0.212541 0.465400i
\(539\) −15.4952 9.95814i −0.667424 0.428927i
\(540\) 16.9612 19.5743i 0.729893 0.842342i
\(541\) 3.12108 + 21.7076i 0.134186 + 0.933282i 0.940015 + 0.341134i \(0.110811\pi\)
−0.805829 + 0.592148i \(0.798280\pi\)
\(542\) 2.15264 14.9719i 0.0924636 0.643099i
\(543\) 3.39011 + 7.42330i 0.145483 + 0.318564i
\(544\) 35.3624 + 10.3833i 1.51615 + 0.445182i
\(545\) −21.5097 47.0997i −0.921374 2.01753i
\(546\) 8.94757 5.75025i 0.382921 0.246088i
\(547\) −6.05332 42.1018i −0.258821 1.80014i −0.541259 0.840856i \(-0.682052\pi\)
0.282438 0.959286i \(-0.408857\pi\)
\(548\) 11.9864 3.51952i 0.512033 0.150346i
\(549\) −25.0984 + 7.36955i −1.07117 + 0.314525i
\(550\) −26.6491 + 30.7547i −1.13632 + 1.31139i
\(551\) 0.607720 1.33072i 0.0258897 0.0566906i
\(552\) 0.0212015 + 0.147460i 0.000902397 + 0.00627631i
\(553\) 10.4475 + 12.0571i 0.444274 + 0.512720i
\(554\) −29.8569 + 34.4567i −1.26850 + 1.46393i
\(555\) −0.264183 + 0.578481i −0.0112140 + 0.0245551i
\(556\) −2.41108 1.54951i −0.102252 0.0657137i
\(557\) −5.38786 + 37.4734i −0.228291 + 1.58780i 0.477014 + 0.878896i \(0.341719\pi\)
−0.705305 + 0.708904i \(0.749190\pi\)
\(558\) 23.8181 15.3070i 1.00830 0.647996i
\(559\) −5.99591 3.85334i −0.253600 0.162979i
\(560\) 31.7448 + 36.6355i 1.34146 + 1.54813i
\(561\) −18.9676 + 5.56939i −0.800813 + 0.235140i
\(562\) 17.8362 + 20.5840i 0.752373 + 0.868285i
\(563\) −1.83182 + 12.7406i −0.0772020 + 0.536951i 0.914115 + 0.405456i \(0.132887\pi\)
−0.991317 + 0.131496i \(0.958022\pi\)
\(564\) −7.47878 2.19597i −0.314913 0.0924669i
\(565\) −2.86955 −0.120723
\(566\) −11.0726 −0.465418
\(567\) −5.27650 1.54932i −0.221592 0.0650654i
\(568\) 0.0463324 0.0297760i 0.00194406 0.00124937i
\(569\) −9.41018 + 20.6054i −0.394495 + 0.863824i 0.603304 + 0.797512i \(0.293851\pi\)
−0.997799 + 0.0663127i \(0.978877\pi\)
\(570\) 0.373187 0.817165i 0.0156311 0.0342273i
\(571\) −7.77224 + 4.99492i −0.325258 + 0.209031i −0.693071 0.720869i \(-0.743743\pi\)
0.367813 + 0.929900i \(0.380107\pi\)
\(572\) −11.6834 3.43055i −0.488507 0.143439i
\(573\) 3.00152 0.125390
\(574\) 19.7581 0.824687
\(575\) 1.23964 + 0.363992i 0.0516967 + 0.0151795i
\(576\) −1.57275 + 10.9387i −0.0655311 + 0.455779i
\(577\) −7.43789 8.58379i −0.309644 0.357348i 0.579503 0.814970i \(-0.303247\pi\)
−0.889147 + 0.457622i \(0.848701\pi\)
\(578\) 13.3689 3.92548i 0.556075 0.163278i
\(579\) 7.92002 + 9.14019i 0.329145 + 0.379853i
\(580\) −42.4035 27.2511i −1.76071 1.13154i
\(581\) −22.2716 + 14.3131i −0.923982 + 0.593807i
\(582\) 0.518132 3.60369i 0.0214773 0.149378i
\(583\) 35.2043 + 22.6244i 1.45801 + 0.937008i
\(584\) 2.05347 4.49646i 0.0849730 0.186065i
\(585\) −7.46180 + 8.61138i −0.308508 + 0.356037i
\(586\) −7.83313 9.03991i −0.323584 0.373435i
\(587\) 6.32989 + 44.0254i 0.261263 + 1.81712i 0.523396 + 0.852089i \(0.324665\pi\)
−0.262134 + 0.965032i \(0.584426\pi\)
\(588\) 2.92255 6.39948i 0.120524 0.263910i
\(589\) 0.715793 0.826069i 0.0294937 0.0340376i
\(590\) 74.7928 21.9611i 3.07917 0.904126i
\(591\) 6.57692 1.93116i 0.270538 0.0794373i
\(592\) −0.135658 0.943521i −0.00557550 0.0387785i
\(593\) −14.7394 + 9.47243i −0.605274 + 0.388986i −0.807082 0.590439i \(-0.798955\pi\)
0.201808 + 0.979425i \(0.435318\pi\)
\(594\) −16.2815 35.6516i −0.668039 1.46280i
\(595\) 50.5265 + 14.8359i 2.07138 + 0.608213i
\(596\) 10.6692 + 23.3623i 0.437028 + 0.956958i
\(597\) 2.04971 14.2561i 0.0838892 0.583462i
\(598\) 0.120416 + 0.837513i 0.00492419 + 0.0342485i
\(599\) 29.4304 33.9645i 1.20249 1.38775i 0.301757 0.953385i \(-0.402427\pi\)
0.900736 0.434366i \(-0.143028\pi\)
\(600\) 2.46744 + 1.58573i 0.100733 + 0.0647372i
\(601\) −3.10916 6.80811i −0.126825 0.277709i 0.835559 0.549401i \(-0.185144\pi\)
−0.962384 + 0.271692i \(0.912417\pi\)
\(602\) −26.8068 −1.09257
\(603\) 14.1244 9.63597i 0.575192 0.392407i
\(604\) 19.9704 0.812585
\(605\) 8.79339 + 19.2548i 0.357502 + 0.782820i
\(606\) 11.8577 + 7.62046i 0.481685 + 0.309560i
\(607\) 1.81327 2.09262i 0.0735983 0.0849369i −0.717756 0.696294i \(-0.754831\pi\)
0.791355 + 0.611358i \(0.209376\pi\)
\(608\) 0.164794 + 1.14617i 0.00668329 + 0.0464833i
\(609\) 4.33207 30.1302i 0.175544 1.22094i
\(610\) 31.6362 + 69.2736i 1.28091 + 2.80481i
\(611\) 8.01541 + 2.35354i 0.324269 + 0.0952139i
\(612\) 7.19129 + 15.7467i 0.290691 + 0.636524i
\(613\) 26.5959 17.0922i 1.07420 0.690346i 0.120989 0.992654i \(-0.461393\pi\)
0.953210 + 0.302307i \(0.0977569\pi\)
\(614\) 5.84103 + 40.6253i 0.235725 + 1.63950i
\(615\) 8.85848 2.60109i 0.357209 0.104886i
\(616\) 8.29208 2.43477i 0.334097 0.0980999i
\(617\) 24.8719 28.7037i 1.00131 1.15557i 0.0134942 0.999909i \(-0.495705\pi\)
0.987811 0.155659i \(-0.0497500\pi\)
\(618\) 1.76128 3.85666i 0.0708489 0.155137i
\(619\) 0.0890205 + 0.619152i 0.00357804 + 0.0248858i 0.991532 0.129861i \(-0.0414530\pi\)
−0.987954 + 0.154746i \(0.950544\pi\)
\(620\) −24.6627 28.4623i −0.990478 1.14307i
\(621\) −0.814860 + 0.940399i −0.0326992 + 0.0377369i
\(622\) −3.04151 + 6.65997i −0.121953 + 0.267040i
\(623\) −46.1540 29.6614i −1.84912 1.18836i
\(624\) −1.06016 + 7.37359i −0.0424405 + 0.295180i
\(625\) −20.8469 + 13.3975i −0.833877 + 0.535900i
\(626\) −6.83103 4.39004i −0.273023 0.175461i
\(627\) −0.406736 0.469398i −0.0162435 0.0187460i
\(628\) −3.68148 + 1.08098i −0.146907 + 0.0431358i
\(629\) −0.678105 0.782575i −0.0270378 0.0312033i
\(630\) −6.09905 + 42.4198i −0.242992 + 1.69005i
\(631\) −11.1477 3.27325i −0.443782 0.130306i 0.0522045 0.998636i \(-0.483375\pi\)
−0.495986 + 0.868330i \(0.665193\pi\)
\(632\) −2.88129 −0.114612
\(633\) −4.99910 −0.198696
\(634\) −15.6250 4.58791i −0.620547 0.182209i
\(635\) −11.5401 + 7.41640i −0.457956 + 0.294311i
\(636\) −6.63988 + 14.5393i −0.263289 + 0.576522i
\(637\) −3.13225 + 6.85867i −0.124104 + 0.271750i
\(638\) −64.1664 + 41.2372i −2.54037 + 1.63260i
\(639\) 0.181180 + 0.0531991i 0.00716735 + 0.00210452i
\(640\) −15.2521 −0.602894
\(641\) −20.3647 −0.804356 −0.402178 0.915561i \(-0.631747\pi\)
−0.402178 + 0.915561i \(0.631747\pi\)
\(642\) −22.1726 6.51047i −0.875083 0.256948i
\(643\) −4.60008 + 31.9943i −0.181409 + 1.26173i 0.672024 + 0.740529i \(0.265425\pi\)
−0.853434 + 0.521201i \(0.825484\pi\)
\(644\) 0.952170 + 1.09886i 0.0375208 + 0.0433013i
\(645\) −12.0188 + 3.52903i −0.473238 + 0.138955i
\(646\) 0.957896 + 1.10547i 0.0376879 + 0.0434942i
\(647\) −9.36607 6.01921i −0.368218 0.236639i 0.343426 0.939180i \(-0.388413\pi\)
−0.711644 + 0.702540i \(0.752049\pi\)
\(648\) 0.835515 0.536953i 0.0328221 0.0210935i
\(649\) 7.66986 53.3450i 0.301068 2.09398i
\(650\) 14.0141 + 9.00632i 0.549678 + 0.353257i
\(651\) 9.44809 20.6884i 0.370300 0.810844i
\(652\) 4.50127 5.19474i 0.176283 0.203442i
\(653\) 1.88062 + 2.17035i 0.0735943 + 0.0849324i 0.791353 0.611360i \(-0.209377\pi\)
−0.717758 + 0.696292i \(0.754832\pi\)
\(654\) −4.25910 29.6227i −0.166544 1.15834i
\(655\) 23.6651 51.8193i 0.924672 2.02475i
\(656\) −9.06230 + 10.4584i −0.353823 + 0.408334i
\(657\) 16.2614 4.77476i 0.634416 0.186281i
\(658\) 30.1469 8.85193i 1.17525 0.345084i
\(659\) 1.74479 + 12.1353i 0.0679675 + 0.472724i 0.995170 + 0.0981644i \(0.0312971\pi\)
−0.927203 + 0.374560i \(0.877794\pi\)
\(660\) −18.0030 + 11.5698i −0.700764 + 0.450354i
\(661\) −5.77342 12.6420i −0.224560 0.491718i 0.763496 0.645812i \(-0.223481\pi\)
−0.988056 + 0.154095i \(0.950754\pi\)
\(662\) −28.2190 8.28584i −1.09676 0.322038i
\(663\) 3.36169 + 7.36108i 0.130557 + 0.285880i
\(664\) 0.680452 4.73265i 0.0264067 0.183662i
\(665\) 0.235462 + 1.63767i 0.00913081 + 0.0635062i
\(666\) 0.551864 0.636885i 0.0213843 0.0246788i
\(667\) 2.03718 + 1.30921i 0.0788798 + 0.0506930i
\(668\) −6.61834 14.4921i −0.256071 0.560718i
\(669\) −3.87522 −0.149825
\(670\) −33.6206 36.7105i −1.29888 1.41825i
\(671\) 52.6528 2.03264
\(672\) 10.0092 + 21.9170i 0.386112 + 0.845468i
\(673\) −0.585759 0.376444i −0.0225793 0.0145109i 0.529302 0.848433i \(-0.322454\pi\)
−0.551882 + 0.833922i \(0.686090\pi\)
\(674\) 29.1509 33.6420i 1.12285 1.29584i
\(675\) 3.48649 + 24.2490i 0.134195 + 0.933346i
\(676\) 2.40341 16.7161i 0.0924388 0.642926i
\(677\) −10.8812 23.8266i −0.418200 0.915731i −0.995096 0.0989130i \(-0.968463\pi\)
0.576896 0.816818i \(-0.304264\pi\)
\(678\) −1.59137 0.467269i −0.0611163 0.0179454i
\(679\) 2.78547 + 6.09932i 0.106896 + 0.234070i
\(680\) −8.00068 + 5.14173i −0.306812 + 0.197176i
\(681\) 0.948567 + 6.59743i 0.0363492 + 0.252814i
\(682\) −54.6814 + 16.0559i −2.09386 + 0.614812i
\(683\) 0.0105453 0.00309639i 0.000403506 0.000118480i −0.281531 0.959552i \(-0.590842\pi\)
0.281934 + 0.959434i \(0.409024\pi\)
\(684\) −0.356177 + 0.411051i −0.0136188 + 0.0157169i
\(685\) −9.77492 + 21.4041i −0.373480 + 0.817808i
\(686\) −2.41325 16.7845i −0.0921382 0.640835i
\(687\) −11.4448 13.2080i −0.436645 0.503915i
\(688\) 12.2953 14.1895i 0.468754 0.540970i
\(689\) 7.11632 15.5826i 0.271110 0.593649i
\(690\) 1.25098 + 0.803958i 0.0476241 + 0.0306062i
\(691\) −0.723532 + 5.03227i −0.0275244 + 0.191437i −0.998945 0.0459295i \(-0.985375\pi\)
0.971420 + 0.237366i \(0.0762841\pi\)
\(692\) −7.96216 + 5.11697i −0.302676 + 0.194518i
\(693\) 24.9263 + 16.0192i 0.946873 + 0.608518i
\(694\) −13.0499 15.0603i −0.495366 0.571682i
\(695\) 5.17978 1.52092i 0.196480 0.0576918i
\(696\) 3.60012 + 4.15476i 0.136462 + 0.157486i
\(697\) −2.13940 + 14.8799i −0.0810357 + 0.563616i
\(698\) 24.9039 + 7.31245i 0.942627 + 0.276780i
\(699\) 8.93791 0.338063
\(700\) 28.6266 1.08198
\(701\) −8.09253 2.37618i −0.305650 0.0897471i 0.125311 0.992118i \(-0.460007\pi\)
−0.430961 + 0.902370i \(0.641825\pi\)
\(702\) −13.4972 + 8.67415i −0.509420 + 0.327385i
\(703\) 0.0135152 0.0295942i 0.000509736 0.00111617i
\(704\) 9.24077 20.2345i 0.348275 0.762615i
\(705\) 12.3510 7.93748i 0.465164 0.298943i
\(706\) −57.1935 16.7935i −2.15251 0.632033i
\(707\) −25.9596 −0.976312
\(708\) 20.5848 0.773624
\(709\) 31.5905 + 9.27582i 1.18641 + 0.348361i 0.814641 0.579965i \(-0.196934\pi\)
0.371767 + 0.928326i \(0.378752\pi\)
\(710\) 0.0782377 0.544155i 0.00293621 0.0204218i
\(711\) −6.46913 7.46577i −0.242611 0.279988i
\(712\) 9.50707 2.79153i 0.356292 0.104617i
\(713\) 1.18486 + 1.36740i 0.0443734 + 0.0512097i
\(714\) 25.6047 + 16.4551i 0.958232 + 0.615818i
\(715\) 19.2947 12.4000i 0.721583 0.463733i
\(716\) −4.52648 + 31.4824i −0.169162 + 1.17655i
\(717\) −4.99574 3.21057i −0.186569 0.119901i
\(718\) 23.2280 50.8621i 0.866860 1.89816i
\(719\) −16.9925 + 19.6104i −0.633712 + 0.731343i −0.978250 0.207430i \(-0.933490\pi\)
0.344538 + 0.938772i \(0.388036\pi\)
\(720\) −19.6565 22.6848i −0.732553 0.845411i
\(721\) 1.11127 + 7.72908i 0.0413860 + 0.287846i
\(722\) 15.1272 33.1240i 0.562978 1.23275i
\(723\) −1.68407 + 1.94352i −0.0626313 + 0.0722804i
\(724\) −13.8021 + 4.05265i −0.512950 + 0.150616i
\(725\) 45.7454 13.4321i 1.69894 0.498854i
\(726\) 1.74116 + 12.1101i 0.0646207 + 0.449447i
\(727\) 9.37205 6.02305i 0.347590 0.223383i −0.355183 0.934797i \(-0.615581\pi\)
0.702773 + 0.711414i \(0.251945\pi\)
\(728\) −1.46963 3.21805i −0.0544682 0.119269i
\(729\) −10.0790 2.95945i −0.373295 0.109609i
\(730\) −20.4972 44.8827i −0.758637 1.66118i
\(731\) 2.90264 20.1883i 0.107358 0.746692i
\(732\) 2.86208 + 19.9062i 0.105785 + 0.735753i
\(733\) −20.9736 + 24.2048i −0.774677 + 0.894025i −0.996713 0.0810134i \(-0.974184\pi\)
0.222036 + 0.975039i \(0.428730\pi\)
\(734\) 22.0919 + 14.1976i 0.815426 + 0.524043i
\(735\) 5.50486 + 12.0540i 0.203050 + 0.444617i
\(736\) −1.91678 −0.0706535
\(737\) −32.7436 + 10.6005i −1.20613 + 0.390474i
\(738\) −12.2343 −0.450349
\(739\) −14.6094 31.9901i −0.537415 1.17677i −0.962416 0.271581i \(-0.912454\pi\)
0.425001 0.905193i \(-0.360274\pi\)
\(740\) −0.943021 0.606043i −0.0346661 0.0222786i
\(741\) −0.166501 + 0.192153i −0.00611657 + 0.00705890i
\(742\) −9.16940 63.7746i −0.336619 2.34124i
\(743\) −2.96508 + 20.6226i −0.108778 + 0.756570i 0.860295 + 0.509797i \(0.170279\pi\)
−0.969073 + 0.246773i \(0.920630\pi\)
\(744\) 1.70634 + 3.73637i 0.0625576 + 0.136982i
\(745\) −46.4170 13.6293i −1.70059 0.499337i
\(746\) 23.8367 + 52.1951i 0.872724 + 1.91100i
\(747\) 13.7906 8.86269i 0.504572 0.324269i
\(748\) −4.95898 34.4905i −0.181318 1.26110i
\(749\) 40.8360 11.9905i 1.49211 0.438124i
\(750\) 0.242099 0.0710868i 0.00884022 0.00259572i
\(751\) −26.9498 + 31.1017i −0.983413 + 1.13492i 0.00744006 + 0.999972i \(0.497632\pi\)
−0.990853 + 0.134947i \(0.956914\pi\)
\(752\) −9.14171 + 20.0176i −0.333364 + 0.729965i
\(753\) 1.87796 + 13.0615i 0.0684366 + 0.475987i
\(754\) 20.4472 + 23.5974i 0.744644 + 0.859365i
\(755\) −24.6332 + 28.4282i −0.896494 + 1.03461i
\(756\) −11.4533 + 25.0792i −0.416553 + 0.912123i
\(757\) 29.7366 + 19.1106i 1.08080 + 0.694586i 0.954741 0.297437i \(-0.0961319\pi\)
0.126055 + 0.992023i \(0.459768\pi\)
\(758\) −0.420386 + 2.92385i −0.0152691 + 0.106199i
\(759\) 0.864910 0.555844i 0.0313942 0.0201758i
\(760\) −0.251374 0.161548i −0.00911828 0.00585996i
\(761\) 22.3677 + 25.8137i 0.810828 + 0.935746i 0.998923 0.0464054i \(-0.0147766\pi\)
−0.188095 + 0.982151i \(0.560231\pi\)
\(762\) −7.60749 + 2.23376i −0.275590 + 0.0809206i
\(763\) 36.0946 + 41.6554i 1.30671 + 1.50803i
\(764\) −0.752944 + 5.23684i −0.0272405 + 0.189462i
\(765\) −31.2861 9.18643i −1.13115 0.332136i
\(766\) 36.9476 1.33497
\(767\) −22.0618 −0.796607
\(768\) −18.1490 5.32903i −0.654895 0.192295i
\(769\) −10.4407 + 6.70981i −0.376500 + 0.241962i −0.715181 0.698939i \(-0.753656\pi\)
0.338681 + 0.940901i \(0.390019\pi\)
\(770\) 35.8354 78.4685i 1.29142 2.82781i
\(771\) 2.88450 6.31618i 0.103883 0.227471i
\(772\) −17.9339 + 11.5254i −0.645456 + 0.414810i
\(773\) 1.05186 + 0.308855i 0.0378328 + 0.0111087i 0.300594 0.953752i \(-0.402815\pi\)
−0.262761 + 0.964861i \(0.584633\pi\)
\(774\) 16.5988 0.596633
\(775\) 35.6223 1.27959
\(776\) −1.16193 0.341174i −0.0417109 0.0122474i
\(777\) 0.0963418 0.670072i 0.00345624 0.0240387i
\(778\) 45.4336 + 52.4331i 1.62887 + 1.87982i
\(779\) −0.453187 + 0.133068i −0.0162371 + 0.00476764i
\(780\) 5.73681 + 6.62064i 0.205411 + 0.237057i
\(781\) −0.319751 0.205491i −0.0114416 0.00735306i
\(782\) −2.03693 + 1.30906i −0.0728406 + 0.0468118i
\(783\) −6.53484 + 45.4508i −0.233536 + 1.62428i
\(784\) −16.7095 10.7385i −0.596767 0.383519i
\(785\) 3.00226 6.57403i 0.107155 0.234637i
\(786\) 21.5621 24.8840i 0.769094 0.887582i
\(787\) −4.08315 4.71220i −0.145548 0.167972i 0.678294 0.734790i \(-0.262720\pi\)
−0.823843 + 0.566819i \(0.808174\pi\)
\(788\) 1.71950 + 11.9594i 0.0612547 + 0.426036i
\(789\) −8.12131 + 17.7832i −0.289126 + 0.633098i
\(790\) −18.8341 + 21.7357i −0.670086 + 0.773320i
\(791\) 2.93088 0.860583i 0.104210 0.0305988i
\(792\) −5.13447 + 1.50762i −0.182446 + 0.0535708i
\(793\) −3.06744 21.3345i −0.108928 0.757611i
\(794\) −10.9505 + 7.03748i −0.388620 + 0.249751i
\(795\) −12.5068 27.3860i −0.443570 0.971282i
\(796\) 24.3588 + 7.15240i 0.863376 + 0.253510i
\(797\) −2.68772 5.88528i −0.0952039 0.208467i 0.856038 0.516912i \(-0.172919\pi\)
−0.951242 + 0.308445i \(0.900191\pi\)
\(798\) −0.136093 + 0.946548i −0.00481764 + 0.0335074i
\(799\) 3.40211 + 23.6622i 0.120358 + 0.837109i
\(800\) −24.7130 + 28.5203i −0.873736 + 1.00835i
\(801\) 28.5786 + 18.3664i 1.00978 + 0.648944i
\(802\) −2.06164 4.51436i −0.0727990 0.159408i
\(803\) −34.1140 −1.20386
\(804\) −5.78754 11.8030i −0.204111 0.416260i
\(805\) −2.73874 −0.0965278
\(806\) 9.69136 + 21.2211i 0.341364 + 0.747482i
\(807\) 4.96584 + 3.19135i 0.174806 + 0.112341i
\(808\) 3.07022 3.54323i 0.108010 0.124650i
\(809\) −2.66295 18.5212i −0.0936242 0.651171i −0.981553 0.191190i \(-0.938765\pi\)
0.887929 0.459981i \(-0.152144\pi\)
\(810\) 1.41086 9.81277i 0.0495727 0.344786i
\(811\) −21.5074 47.0946i −0.755227 1.65372i −0.756738 0.653718i \(-0.773208\pi\)
0.00151131 0.999999i \(-0.499519\pi\)
\(812\) 51.4823 + 15.1166i 1.80668 + 0.530488i
\(813\) 3.12548 + 6.84384i 0.109615 + 0.240024i
\(814\) −1.42701 + 0.917084i −0.0500167 + 0.0321438i
\(815\) 1.84256 + 12.8153i 0.0645420 + 0.448899i
\(816\) −20.4540 + 6.00585i −0.716034 + 0.210247i
\(817\) 0.614862 0.180540i 0.0215113 0.00631629i
\(818\) 34.2840 39.5658i 1.19871 1.38339i
\(819\) 5.03870 11.0332i 0.176066 0.385532i
\(820\) 2.31600 + 16.1082i 0.0808783 + 0.562521i
\(821\) 2.18425 + 2.52076i 0.0762310 + 0.0879752i 0.792584 0.609763i \(-0.208735\pi\)
−0.716353 + 0.697738i \(0.754190\pi\)
\(822\) −8.90626 + 10.2784i −0.310642 + 0.358499i
\(823\) −0.116426 + 0.254938i −0.00405836 + 0.00888657i −0.911650 0.410967i \(-0.865191\pi\)
0.907592 + 0.419853i \(0.137918\pi\)
\(824\) −1.18637 0.762435i −0.0413292 0.0265607i
\(825\) 2.88070 20.0357i 0.100293 0.697553i
\(826\) −69.8049 + 44.8609i −2.42882 + 1.56091i
\(827\) −19.3832 12.4569i −0.674022 0.433167i 0.158352 0.987383i \(-0.449382\pi\)
−0.832373 + 0.554215i \(0.813018\pi\)
\(828\) −0.589586 0.680418i −0.0204895 0.0236462i
\(829\) −41.6695 + 12.2353i −1.44724 + 0.424948i −0.908628 0.417606i \(-0.862869\pi\)
−0.538612 + 0.842554i \(0.681051\pi\)
\(830\) −31.2539 36.0689i −1.08484 1.25197i
\(831\) 3.22745 22.4474i 0.111959 0.778693i
\(832\) −8.73721 2.56547i −0.302908 0.0889418i
\(833\) −21.5769 −0.747595
\(834\) 3.12022 0.108044
\(835\) 28.7934 + 8.45451i 0.996438 + 0.292581i
\(836\) 0.921004 0.591894i 0.0318536 0.0204711i
\(837\) −14.2523 + 31.2081i −0.492630 + 1.07871i
\(838\) −4.02304 + 8.80923i −0.138974 + 0.304310i
\(839\) 33.3034 21.4028i 1.14976 0.738907i 0.180170 0.983635i \(-0.442335\pi\)
0.969592 + 0.244728i \(0.0786988\pi\)
\(840\) −5.96566 1.75167i −0.205835 0.0604385i
\(841\) 60.3619 2.08145
\(842\) −53.0030 −1.82661
\(843\) −12.9989 3.81683i −0.447707 0.131459i
\(844\) 1.25404 8.72207i 0.0431660 0.300226i
\(845\) 20.8311 + 24.0403i 0.716610 + 0.827012i
\(846\) −18.6670 + 5.48113i −0.641786 + 0.188445i
\(847\) −14.7558 17.0292i −0.507017 0.585129i
\(848\) 37.9631 + 24.3974i 1.30366 + 0.837811i
\(849\) 4.63332 2.97765i 0.159015 0.102193i
\(850\) −6.78428 + 47.1857i −0.232699 + 1.61846i
\(851\) 0.0453052 + 0.0291159i 0.00155304 + 0.000998080i
\(852\) 0.0603082 0.132057i 0.00206613 0.00452419i
\(853\) −14.5266 + 16.7645i −0.497380 + 0.574007i −0.947823 0.318798i \(-0.896721\pi\)
0.450443 + 0.892805i \(0.351266\pi\)
\(854\) −53.0875 61.2662i −1.81662 2.09649i
\(855\) −0.145798 1.01405i −0.00498620 0.0346798i
\(856\) −3.19305 + 6.99181i −0.109136 + 0.238975i
\(857\) 1.52627 1.76141i 0.0521364 0.0601686i −0.729082 0.684426i \(-0.760053\pi\)
0.781219 + 0.624257i \(0.214598\pi\)
\(858\) 12.7195 3.73478i 0.434236 0.127503i
\(859\) −18.1184 + 5.32004i −0.618192 + 0.181518i −0.575809 0.817584i \(-0.695313\pi\)
−0.0423825 + 0.999101i \(0.513495\pi\)
\(860\) −3.14224 21.8548i −0.107150 0.745242i
\(861\) −8.26772 + 5.31334i −0.281763 + 0.181078i
\(862\) 17.1878 + 37.6361i 0.585419 + 1.28189i
\(863\) −11.4435 3.36011i −0.389540 0.114379i 0.0810968 0.996706i \(-0.474158\pi\)
−0.470637 + 0.882327i \(0.655976\pi\)
\(864\) −15.0986 33.0614i −0.513666 1.12477i
\(865\) 2.53711 17.6460i 0.0862643 0.599981i
\(866\) −4.38176 30.4758i −0.148898 1.03561i
\(867\) −4.53856 + 5.23778i −0.154138 + 0.177884i
\(868\) 33.7256 + 21.6742i 1.14472 + 0.735669i
\(869\) 8.26031 + 18.0876i 0.280212 + 0.613578i
\(870\) 54.8751 1.86044
\(871\) 6.20282 + 12.6499i 0.210174 + 0.428626i
\(872\) −9.95442 −0.337099
\(873\) −1.72477 3.77671i −0.0583745 0.127822i
\(874\) −0.0639984 0.0411293i −0.00216478 0.00139122i
\(875\) −0.304317 + 0.351201i −0.0102878 + 0.0118728i
\(876\) −1.85435 12.8973i −0.0626527 0.435759i
\(877\) −6.64943 + 46.2478i −0.224535 + 1.56168i 0.496039 + 0.868300i \(0.334787\pi\)
−0.720574 + 0.693378i \(0.756122\pi\)
\(878\) −15.4577 33.8476i −0.521671 1.14230i
\(879\) 5.70876 + 1.67624i 0.192552 + 0.0565383i
\(880\) 25.0990 + 54.9591i 0.846086 + 1.85267i
\(881\) 40.8217 26.2345i 1.37532 0.883864i 0.376230 0.926526i \(-0.377220\pi\)
0.999090 + 0.0426625i \(0.0135840\pi\)
\(882\) −2.49904 17.3812i −0.0841472 0.585257i
\(883\) −30.9664 + 9.09256i −1.04210 + 0.305989i −0.757623 0.652693i \(-0.773639\pi\)
−0.284480 + 0.958682i \(0.591821\pi\)
\(884\) −13.6864 + 4.01868i −0.460323 + 0.135163i
\(885\) −25.3910 + 29.3028i −0.853511 + 0.985004i
\(886\) −7.64925 + 16.7495i −0.256981 + 0.562711i
\(887\) 0.157540 + 1.09571i 0.00528967 + 0.0367905i 0.992295 0.123895i \(-0.0395386\pi\)
−0.987006 + 0.160686i \(0.948630\pi\)
\(888\) 0.0800638 + 0.0923985i 0.00268676 + 0.00310069i
\(889\) 9.56256 11.0358i 0.320718 0.370128i
\(890\) 41.0861 89.9660i 1.37721 3.01567i
\(891\) −5.76608 3.70564i −0.193171 0.124144i
\(892\) 0.972116 6.76122i 0.0325489 0.226382i
\(893\) −0.631856 + 0.406069i −0.0211443 + 0.0135886i
\(894\) −23.5222 15.1168i −0.786699 0.505581i
\(895\) −39.2323 45.2765i −1.31139 1.51343i
\(896\) 15.5781 4.57414i 0.520427 0.152811i
\(897\) −0.275612 0.318073i −0.00920241 0.0106201i
\(898\) −0.940490 + 6.54125i −0.0313845 + 0.218284i
\(899\) 64.0636 + 18.8108i 2.13664 + 0.627374i
\(900\) −17.7256 −0.590854
\(901\) 49.0217 1.63315
\(902\) 23.6285 + 6.93796i 0.786744 + 0.231009i
\(903\) 11.2172 7.20889i 0.373287 0.239897i
\(904\) −0.229172 + 0.501816i −0.00762213 + 0.0166901i
\(905\) 11.2556 24.6464i 0.374150 0.819273i
\(906\) −18.2900 + 11.7543i −0.607646 + 0.390510i
\(907\) 27.0681 + 7.94791i 0.898781 + 0.263906i 0.698312 0.715794i \(-0.253935\pi\)
0.200470 + 0.979700i \(0.435753\pi\)
\(908\) −11.7487 −0.389894
\(909\) 16.0742 0.533149
\(910\) −33.8826 9.94882i −1.12320 0.329800i
\(911\) 7.95455 55.3251i 0.263546 1.83300i −0.242087 0.970255i \(-0.577832\pi\)
0.505633 0.862749i \(-0.331259\pi\)
\(912\) −0.438610 0.506183i −0.0145238 0.0167614i
\(913\) −31.6604 + 9.29632i −1.04781 + 0.307663i
\(914\) 20.8202 + 24.0278i 0.688673 + 0.794770i
\(915\) −31.8671 20.4797i −1.05349 0.677040i
\(916\) 25.9153 16.6548i 0.856266 0.550289i
\(917\) −8.63013 + 60.0239i −0.284992 + 1.98216i
\(918\) −38.6242 24.8223i −1.27479 0.819257i
\(919\) −23.0502 + 50.4729i −0.760356 + 1.66495i −0.0135487 + 0.999908i \(0.504313\pi\)
−0.746808 + 0.665040i \(0.768414\pi\)
\(920\) 0.323908 0.373810i 0.0106789 0.0123242i
\(921\) −13.3691 15.4288i −0.440527 0.508395i
\(922\) 0.683339 + 4.75273i 0.0225046 + 0.156523i
\(923\) −0.0646356 + 0.141532i −0.00212751 + 0.00465859i
\(924\) 14.9179 17.2162i 0.490762 0.566370i
\(925\) 1.01734 0.298718i 0.0334500 0.00982180i
\(926\) 38.6169 11.3389i 1.26903 0.372621i
\(927\) −0.688103 4.78586i −0.0226003 0.157188i
\(928\) −59.5046 + 38.2413i −1.95333 + 1.25533i
\(929\) 10.2759 + 22.5011i 0.337142 + 0.738237i 0.999944 0.0105570i \(-0.00336045\pi\)
−0.662803 + 0.748794i \(0.730633\pi\)
\(930\) 39.3400 + 11.5513i 1.29001 + 0.378781i
\(931\) −0.281620 0.616662i −0.00922973 0.0202103i
\(932\) −2.24211 + 15.5942i −0.0734429 + 0.510806i
\(933\) −0.518287 3.60477i −0.0169680 0.118015i
\(934\) 45.7909 52.8455i 1.49832 1.72916i
\(935\) 55.2146 + 35.4843i 1.80571 + 1.16046i
\(936\) 0.909999 + 1.99262i 0.0297443 + 0.0651308i
\(937\) 34.2720 1.11962 0.559810 0.828621i \(-0.310874\pi\)
0.559810 + 0.828621i \(0.310874\pi\)
\(938\) 45.3486 + 27.4121i 1.48068 + 0.895038i
\(939\) 4.03899 0.131808
\(940\) 10.7505 + 23.5402i 0.350641 + 0.767798i
\(941\) −15.6246 10.0413i −0.509346 0.327337i 0.260599 0.965447i \(-0.416080\pi\)
−0.769945 + 0.638110i \(0.779716\pi\)
\(942\) 2.73546 3.15689i 0.0891261 0.102857i
\(943\) −0.111267 0.773878i −0.00362335 0.0252009i
\(944\) 8.27092 57.5255i 0.269195 1.87230i
\(945\) −21.5733 47.2388i −0.701778 1.53668i
\(946\) −32.0580 9.41309i −1.04230 0.306046i
\(947\) −2.16073 4.73134i −0.0702143 0.153748i 0.871271 0.490803i \(-0.163296\pi\)
−0.941485 + 0.337055i \(0.890569\pi\)
\(948\) −6.38927 + 4.10613i −0.207514 + 0.133361i
\(949\) 1.98741 + 13.8227i 0.0645140 + 0.448705i
\(950\) −1.43710 + 0.421971i −0.0466258 + 0.0136906i
\(951\) 7.77200 2.28207i 0.252024 0.0740011i
\(952\) 6.62965 7.65102i 0.214868 0.247971i
\(953\) 7.29464 15.9730i 0.236297 0.517417i −0.753918 0.656968i \(-0.771839\pi\)
0.990215 + 0.139551i \(0.0445659\pi\)
\(954\) 5.67771 + 39.4893i 0.183823 + 1.27851i
\(955\) −6.52599 7.53139i −0.211176 0.243710i
\(956\) 6.85478 7.91083i 0.221699 0.255855i
\(957\) 15.7607 34.5112i 0.509473 1.11559i
\(958\) 0.0677195 + 0.0435207i 0.00218792 + 0.00140609i
\(959\) 3.56470 24.7930i 0.115110 0.800608i
\(960\) −13.4632 + 8.65226i −0.434522 + 0.279250i
\(961\) 15.8887 + 10.2110i 0.512537 + 0.329388i
\(962\) 0.454730 + 0.524787i 0.0146611 + 0.0169198i
\(963\) −25.2857 + 7.42455i −0.814820 + 0.239253i
\(964\) −2.96847 3.42579i −0.0956079 0.110337i
\(965\) 5.71457 39.7457i 0.183959 1.27946i
\(966\) −1.51883 0.445967i −0.0488674 0.0143488i
\(967\) 32.3574 1.04055 0.520273 0.854000i \(-0.325830\pi\)
0.520273 + 0.854000i \(0.325830\pi\)
\(968\) 4.06947 0.130798
\(969\) −0.698112 0.204984i −0.0224266 0.00658504i
\(970\) −10.1689 + 6.53514i −0.326503 + 0.209831i
\(971\) −2.69074 + 5.89190i −0.0863500 + 0.189080i −0.947881 0.318625i \(-0.896779\pi\)
0.861531 + 0.507705i \(0.169506\pi\)
\(972\) 11.2727 24.6838i 0.361573 0.791734i
\(973\) −4.83434 + 3.10684i −0.154982 + 0.0996009i
\(974\) −27.3745 8.03789i −0.877137 0.257551i
\(975\) −8.28614 −0.265369
\(976\) 56.7790 1.81745
\(977\) −6.67545 1.96009i −0.213567 0.0627088i 0.173199 0.984887i \(-0.444590\pi\)
−0.386766 + 0.922178i \(0.626408\pi\)
\(978\) −1.06497 + 7.40701i −0.0340539 + 0.236850i
\(979\) −44.7796 51.6785i −1.43116 1.65165i
\(980\) −22.4118 + 6.58070i −0.715919 + 0.210213i
\(981\) −22.3499 25.7931i −0.713576 0.823510i
\(982\) −56.4004 36.2464i −1.79981 1.15667i
\(983\) −29.7392 + 19.1122i −0.948532 + 0.609585i −0.920802 0.390031i \(-0.872464\pi\)
−0.0277304 + 0.999615i \(0.508828\pi\)
\(984\) 0.252599 1.75687i 0.00805257 0.0560068i
\(985\) −19.1454 12.3040i −0.610023 0.392038i
\(986\) −37.1178 + 81.2767i −1.18207 + 2.58838i
\(987\) −10.2344 + 11.8112i −0.325766 + 0.375954i
\(988\) −0.293487 0.338702i −0.00933706 0.0107755i
\(989\) 0.150962 + 1.04996i 0.00480030 + 0.0333868i
\(990\) −22.1893 + 48.5878i −0.705223 + 1.54422i
\(991\) −33.2163 + 38.3336i −1.05515 + 1.21771i −0.0798532 + 0.996807i \(0.525445\pi\)
−0.975296 + 0.220901i \(0.929100\pi\)
\(992\) −50.7087 + 14.8894i −1.61000 + 0.472739i
\(993\) 14.0364 4.12145i 0.445431 0.130790i
\(994\) 0.0832832 + 0.579247i 0.00264158 + 0.0183726i
\(995\) −40.2278 + 25.8528i −1.27531 + 0.819590i
\(996\) −5.23559 11.4644i −0.165896 0.363262i
\(997\) 11.0148 + 3.23425i 0.348843 + 0.102430i 0.451460 0.892291i \(-0.350903\pi\)
−0.102617 + 0.994721i \(0.532722\pi\)
\(998\) −7.66121 16.7757i −0.242511 0.531026i
\(999\) −0.145330 + 1.01079i −0.00459803 + 0.0319800i
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 67.2.e.c.14.2 20
3.2 odd 2 603.2.u.c.550.2 20
67.15 even 11 4489.2.a.l.1.2 10
67.24 even 11 inner 67.2.e.c.24.2 yes 20
67.52 odd 22 4489.2.a.m.1.9 10
201.158 odd 22 603.2.u.c.91.2 20
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
67.2.e.c.14.2 20 1.1 even 1 trivial
67.2.e.c.24.2 yes 20 67.24 even 11 inner
603.2.u.c.91.2 20 201.158 odd 22
603.2.u.c.550.2 20 3.2 odd 2
4489.2.a.l.1.2 10 67.15 even 11
4489.2.a.m.1.9 10 67.52 odd 22