Properties

Label 770.2.bi.a.27.18
Level $770$
Weight $2$
Character 770.27
Analytic conductor $6.148$
Analytic rank $0$
Dimension $384$
CM no
Inner twists $8$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [770,2,Mod(27,770)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(770, base_ring=CyclotomicField(20))
 
chi = DirichletCharacter(H, H._module([5, 10, 8]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("770.27");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 770 = 2 \cdot 5 \cdot 7 \cdot 11 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 770.bi (of order \(20\), degree \(8\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(6.14848095564\)
Analytic rank: \(0\)
Dimension: \(384\)
Relative dimension: \(48\) over \(\Q(\zeta_{20})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label 27.18
Character \(\chi\) \(=\) 770.27
Dual form 770.2.bi.a.713.18

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.453990 + 0.891007i) q^{2} +(0.275125 + 1.73707i) q^{3} +(-0.587785 - 0.809017i) q^{4} +(-2.06245 + 0.863892i) q^{5} +(-1.67264 - 0.543475i) q^{6} +(0.347847 - 2.62279i) q^{7} +(0.987688 - 0.156434i) q^{8} +(-0.0885490 + 0.0287713i) q^{9} +O(q^{10})\) \(q+(-0.453990 + 0.891007i) q^{2} +(0.275125 + 1.73707i) q^{3} +(-0.587785 - 0.809017i) q^{4} +(-2.06245 + 0.863892i) q^{5} +(-1.67264 - 0.543475i) q^{6} +(0.347847 - 2.62279i) q^{7} +(0.987688 - 0.156434i) q^{8} +(-0.0885490 + 0.0287713i) q^{9} +(0.166598 - 2.22985i) q^{10} +(3.20450 - 0.855087i) q^{11} +(1.24360 - 1.24360i) q^{12} +(2.26116 - 4.43777i) q^{13} +(2.17900 + 1.50065i) q^{14} +(-2.06807 - 3.34494i) q^{15} +(-0.309017 + 0.951057i) q^{16} +(-0.976679 - 1.91684i) q^{17} +(0.0145650 - 0.0919597i) q^{18} +(-6.79762 - 4.93876i) q^{19} +(1.91118 + 1.16077i) q^{20} +(4.65166 - 0.117358i) q^{21} +(-0.692925 + 3.24343i) q^{22} +(-0.701422 + 0.701422i) q^{23} +(0.543475 + 1.67264i) q^{24} +(3.50738 - 3.56346i) q^{25} +(2.92754 + 4.02941i) q^{26} +(2.32099 + 4.55520i) q^{27} +(-2.32634 + 1.26022i) q^{28} +(-3.12328 - 4.29883i) q^{29} +(3.91925 - 0.324095i) q^{30} +(7.37826 - 2.39734i) q^{31} +(-0.707107 - 0.707107i) q^{32} +(2.36698 + 5.33119i) q^{33} +2.15132 q^{34} +(1.54839 + 5.70986i) q^{35} +(0.0753243 + 0.0547263i) q^{36} +(8.99773 + 1.42510i) q^{37} +(7.48653 - 3.81458i) q^{38} +(8.33082 + 2.70685i) q^{39} +(-1.90191 + 1.17589i) q^{40} +(-6.35564 + 8.74779i) q^{41} +(-2.00724 + 4.19794i) q^{42} +(1.95916 - 1.95916i) q^{43} +(-2.57534 - 2.08989i) q^{44} +(0.157772 - 0.135836i) q^{45} +(-0.306533 - 0.943411i) q^{46} +(2.14101 - 0.339102i) q^{47} +(-1.73707 - 0.275125i) q^{48} +(-6.75800 - 1.82466i) q^{49} +(1.58275 + 4.74288i) q^{50} +(3.06098 - 2.22393i) q^{51} +(-4.91931 + 0.779142i) q^{52} +(6.19302 + 3.15550i) q^{53} -5.11242 q^{54} +(-5.87041 + 4.53191i) q^{55} +(-0.0667292 - 2.64491i) q^{56} +(6.70878 - 13.1667i) q^{57} +(5.24823 - 0.831238i) q^{58} +(-1.75784 + 1.27714i) q^{59} +(-1.49053 + 3.63921i) q^{60} +(-7.62797 - 2.47848i) q^{61} +(-1.21361 + 7.66245i) q^{62} +(0.0446595 + 0.242253i) q^{63} +(0.951057 - 0.309017i) q^{64} +(-0.829764 + 11.1061i) q^{65} +(-5.82471 - 0.311311i) q^{66} +(0.558566 + 0.558566i) q^{67} +(-0.976679 + 1.91684i) q^{68} +(-1.41140 - 1.02544i) q^{69} +(-5.79048 - 1.21260i) q^{70} +(1.94663 - 5.99110i) q^{71} +(-0.0829580 + 0.0422692i) q^{72} +(0.0331153 + 0.00524494i) q^{73} +(-5.35466 + 7.37005i) q^{74} +(7.15495 + 5.11217i) q^{75} +8.40233i q^{76} +(-1.12803 - 8.70216i) q^{77} +(-6.19393 + 6.19393i) q^{78} +(-9.94541 + 3.23146i) q^{79} +(-0.184279 - 2.22846i) q^{80} +(-7.50011 + 5.44915i) q^{81} +(-4.90894 - 9.63433i) q^{82} +(10.2121 - 5.20331i) q^{83} +(-2.82912 - 3.69429i) q^{84} +(3.67029 + 3.10964i) q^{85} +(0.856185 + 2.63507i) q^{86} +(6.60808 - 6.60808i) q^{87} +(3.03128 - 1.34585i) q^{88} -5.20799 q^{89} +(0.0494037 + 0.202245i) q^{90} +(-10.8528 - 7.47420i) q^{91} +(0.979748 + 0.155177i) q^{92} +(6.19429 + 12.1570i) q^{93} +(-0.669854 + 2.06160i) q^{94} +(18.2863 + 4.31353i) q^{95} +(1.03375 - 1.42284i) q^{96} +(-0.965951 - 0.492177i) q^{97} +(4.69385 - 5.19305i) q^{98} +(-0.259153 + 0.167915i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 384 q - 4 q^{7}+O(q^{10}) \) Copy content Toggle raw display \( 384 q - 4 q^{7} + 24 q^{15} + 96 q^{16} + 16 q^{22} + 16 q^{23} - 40 q^{25} + 4 q^{28} + 16 q^{30} - 32 q^{35} + 80 q^{36} - 64 q^{37} + 44 q^{42} - 80 q^{43} - 16 q^{46} - 64 q^{50} - 136 q^{51} + 80 q^{53} + 8 q^{56} - 112 q^{57} - 96 q^{58} + 68 q^{63} - 272 q^{65} + 160 q^{67} - 8 q^{70} + 16 q^{71} + 96 q^{77} + 24 q^{81} - 80 q^{85} - 16 q^{88} - 84 q^{91} + 16 q^{92} + 88 q^{93} - 184 q^{95} - 32 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/770\mathbb{Z}\right)^\times\).

\(n\) \(211\) \(617\) \(661\)
\(\chi(n)\) \(e\left(\frac{2}{5}\right)\) \(e\left(\frac{1}{4}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.453990 + 0.891007i −0.321020 + 0.630037i
\(3\) 0.275125 + 1.73707i 0.158843 + 1.00290i 0.930349 + 0.366675i \(0.119504\pi\)
−0.771506 + 0.636223i \(0.780496\pi\)
\(4\) −0.587785 0.809017i −0.293893 0.404508i
\(5\) −2.06245 + 0.863892i −0.922355 + 0.386344i
\(6\) −1.67264 0.543475i −0.682854 0.221873i
\(7\) 0.347847 2.62279i 0.131474 0.991320i
\(8\) 0.987688 0.156434i 0.349201 0.0553079i
\(9\) −0.0885490 + 0.0287713i −0.0295163 + 0.00959044i
\(10\) 0.166598 2.22985i 0.0526830 0.705141i
\(11\) 3.20450 0.855087i 0.966193 0.257818i
\(12\) 1.24360 1.24360i 0.358998 0.358998i
\(13\) 2.26116 4.43777i 0.627132 1.23082i −0.330767 0.943712i \(-0.607308\pi\)
0.957899 0.287104i \(-0.0926925\pi\)
\(14\) 2.17900 + 1.50065i 0.582362 + 0.401067i
\(15\) −2.06807 3.34494i −0.533974 0.863659i
\(16\) −0.309017 + 0.951057i −0.0772542 + 0.237764i
\(17\) −0.976679 1.91684i −0.236879 0.464902i 0.741711 0.670720i \(-0.234015\pi\)
−0.978590 + 0.205818i \(0.934015\pi\)
\(18\) 0.0145650 0.0919597i 0.00343300 0.0216751i
\(19\) −6.79762 4.93876i −1.55948 1.13303i −0.936433 0.350847i \(-0.885894\pi\)
−0.623049 0.782182i \(-0.714106\pi\)
\(20\) 1.91118 + 1.16077i 0.427353 + 0.259557i
\(21\) 4.65166 0.117358i 1.01508 0.0256097i
\(22\) −0.692925 + 3.24343i −0.147732 + 0.691502i
\(23\) −0.701422 + 0.701422i −0.146257 + 0.146257i −0.776444 0.630187i \(-0.782978\pi\)
0.630187 + 0.776444i \(0.282978\pi\)
\(24\) 0.543475 + 1.67264i 0.110936 + 0.341427i
\(25\) 3.50738 3.56346i 0.701476 0.712693i
\(26\) 2.92754 + 4.02941i 0.574138 + 0.790233i
\(27\) 2.32099 + 4.55520i 0.446675 + 0.876649i
\(28\) −2.32634 + 1.26022i −0.439636 + 0.238159i
\(29\) −3.12328 4.29883i −0.579979 0.798273i 0.413714 0.910407i \(-0.364231\pi\)
−0.993693 + 0.112134i \(0.964231\pi\)
\(30\) 3.91925 0.324095i 0.715553 0.0591714i
\(31\) 7.37826 2.39734i 1.32517 0.430575i 0.440906 0.897554i \(-0.354657\pi\)
0.884269 + 0.466978i \(0.154657\pi\)
\(32\) −0.707107 0.707107i −0.125000 0.125000i
\(33\) 2.36698 + 5.33119i 0.412039 + 0.928041i
\(34\) 2.15132 0.368948
\(35\) 1.54839 + 5.70986i 0.261725 + 0.965142i
\(36\) 0.0753243 + 0.0547263i 0.0125541 + 0.00912105i
\(37\) 8.99773 + 1.42510i 1.47922 + 0.234285i 0.843288 0.537462i \(-0.180617\pi\)
0.635929 + 0.771747i \(0.280617\pi\)
\(38\) 7.48653 3.81458i 1.21448 0.618806i
\(39\) 8.33082 + 2.70685i 1.33400 + 0.433442i
\(40\) −1.90191 + 1.17589i −0.300719 + 0.185925i
\(41\) −6.35564 + 8.74779i −0.992584 + 1.36617i −0.0628175 + 0.998025i \(0.520009\pi\)
−0.929767 + 0.368150i \(0.879991\pi\)
\(42\) −2.00724 + 4.19794i −0.309724 + 0.647756i
\(43\) 1.95916 1.95916i 0.298769 0.298769i −0.541762 0.840532i \(-0.682243\pi\)
0.840532 + 0.541762i \(0.182243\pi\)
\(44\) −2.57534 2.08989i −0.388247 0.315063i
\(45\) 0.157772 0.135836i 0.0235193 0.0202493i
\(46\) −0.306533 0.943411i −0.0451958 0.139098i
\(47\) 2.14101 0.339102i 0.312298 0.0494631i 0.00168181 0.999999i \(-0.499465\pi\)
0.310616 + 0.950535i \(0.399465\pi\)
\(48\) −1.73707 0.275125i −0.250724 0.0397109i
\(49\) −6.75800 1.82466i −0.965429 0.260665i
\(50\) 1.58275 + 4.74288i 0.223835 + 0.670744i
\(51\) 3.06098 2.22393i 0.428623 0.311413i
\(52\) −4.91931 + 0.779142i −0.682185 + 0.108048i
\(53\) 6.19302 + 3.15550i 0.850677 + 0.433442i 0.824261 0.566209i \(-0.191591\pi\)
0.0264158 + 0.999651i \(0.491591\pi\)
\(54\) −5.11242 −0.695712
\(55\) −5.87041 + 4.53191i −0.791566 + 0.611083i
\(56\) −0.0667292 2.64491i −0.00891706 0.353441i
\(57\) 6.70878 13.1667i 0.888600 1.74398i
\(58\) 5.24823 0.831238i 0.689126 0.109147i
\(59\) −1.75784 + 1.27714i −0.228851 + 0.166270i −0.696302 0.717749i \(-0.745172\pi\)
0.467451 + 0.884019i \(0.345172\pi\)
\(60\) −1.49053 + 3.63921i −0.192427 + 0.469820i
\(61\) −7.62797 2.47848i −0.976661 0.317336i −0.223159 0.974782i \(-0.571637\pi\)
−0.753502 + 0.657446i \(0.771637\pi\)
\(62\) −1.21361 + 7.66245i −0.154129 + 0.973132i
\(63\) 0.0446595 + 0.242253i 0.00562656 + 0.0305210i
\(64\) 0.951057 0.309017i 0.118882 0.0386271i
\(65\) −0.829764 + 11.1061i −0.102920 + 1.37754i
\(66\) −5.82471 0.311311i −0.716972 0.0383197i
\(67\) 0.558566 + 0.558566i 0.0682397 + 0.0682397i 0.740403 0.672163i \(-0.234635\pi\)
−0.672163 + 0.740403i \(0.734635\pi\)
\(68\) −0.976679 + 1.91684i −0.118440 + 0.232451i
\(69\) −1.41140 1.02544i −0.169912 0.123449i
\(70\) −5.79048 1.21260i −0.692094 0.144933i
\(71\) 1.94663 5.99110i 0.231022 0.711013i −0.766602 0.642122i \(-0.778054\pi\)
0.997624 0.0688903i \(-0.0219459\pi\)
\(72\) −0.0829580 + 0.0422692i −0.00977670 + 0.00498148i
\(73\) 0.0331153 + 0.00524494i 0.00387585 + 0.000613874i 0.158372 0.987380i \(-0.449375\pi\)
−0.154496 + 0.987993i \(0.549375\pi\)
\(74\) −5.35466 + 7.37005i −0.622466 + 0.856751i
\(75\) 7.15495 + 5.11217i 0.826183 + 0.590302i
\(76\) 8.40233i 0.963813i
\(77\) −1.12803 8.70216i −0.128551 0.991703i
\(78\) −6.19393 + 6.19393i −0.701325 + 0.701325i
\(79\) −9.94541 + 3.23146i −1.11895 + 0.363568i −0.809365 0.587306i \(-0.800189\pi\)
−0.309581 + 0.950873i \(0.600189\pi\)
\(80\) −0.184279 2.22846i −0.0206030 0.249150i
\(81\) −7.50011 + 5.44915i −0.833346 + 0.605461i
\(82\) −4.90894 9.63433i −0.542101 1.06393i
\(83\) 10.2121 5.20331i 1.12092 0.571137i 0.207532 0.978228i \(-0.433457\pi\)
0.913388 + 0.407091i \(0.133457\pi\)
\(84\) −2.82912 3.69429i −0.308683 0.403080i
\(85\) 3.67029 + 3.10964i 0.398099 + 0.337288i
\(86\) 0.856185 + 2.63507i 0.0923248 + 0.284146i
\(87\) 6.60808 6.60808i 0.708460 0.708460i
\(88\) 3.03128 1.34585i 0.323136 0.143468i
\(89\) −5.20799 −0.552046 −0.276023 0.961151i \(-0.589017\pi\)
−0.276023 + 0.961151i \(0.589017\pi\)
\(90\) 0.0494037 + 0.202245i 0.00520761 + 0.0213185i
\(91\) −10.8528 7.47420i −1.13768 0.783509i
\(92\) 0.979748 + 0.155177i 0.102146 + 0.0161783i
\(93\) 6.19429 + 12.1570i 0.642318 + 1.26062i
\(94\) −0.669854 + 2.06160i −0.0690902 + 0.212638i
\(95\) 18.2863 + 4.31353i 1.87614 + 0.442559i
\(96\) 1.03375 1.42284i 0.105507 0.145218i
\(97\) −0.965951 0.492177i −0.0980774 0.0499730i 0.404264 0.914642i \(-0.367528\pi\)
−0.502341 + 0.864670i \(0.667528\pi\)
\(98\) 4.69385 5.19305i 0.474151 0.524577i
\(99\) −0.259153 + 0.167915i −0.0260459 + 0.0168761i
\(100\) −4.94449 0.742979i −0.494449 0.0742979i
\(101\) 9.97231 3.24020i 0.992281 0.322412i 0.232504 0.972595i \(-0.425308\pi\)
0.759777 + 0.650184i \(0.225308\pi\)
\(102\) 0.591882 + 3.73699i 0.0586050 + 0.370018i
\(103\) 4.36748 + 0.691742i 0.430341 + 0.0681593i 0.367848 0.929886i \(-0.380095\pi\)
0.0624934 + 0.998045i \(0.480095\pi\)
\(104\) 1.53910 4.73686i 0.150921 0.464487i
\(105\) −9.49243 + 4.26058i −0.926366 + 0.415790i
\(106\) −5.62315 + 4.08546i −0.546168 + 0.396815i
\(107\) −1.17850 7.44076i −0.113930 0.719325i −0.976841 0.213969i \(-0.931361\pi\)
0.862911 0.505356i \(-0.168639\pi\)
\(108\) 2.32099 4.55520i 0.223337 0.438324i
\(109\) 15.4718i 1.48193i −0.671546 0.740963i \(-0.734369\pi\)
0.671546 0.740963i \(-0.265631\pi\)
\(110\) −1.37285 7.28802i −0.130896 0.694886i
\(111\) 16.0218i 1.52072i
\(112\) 2.38693 + 1.14131i 0.225543 + 0.107843i
\(113\) 4.87708 0.772454i 0.458797 0.0726663i 0.0772419 0.997012i \(-0.475389\pi\)
0.381555 + 0.924346i \(0.375389\pi\)
\(114\) 8.68592 + 11.9551i 0.813511 + 1.11970i
\(115\) 0.840694 2.05260i 0.0783951 0.191406i
\(116\) −1.64201 + 5.05358i −0.152457 + 0.469213i
\(117\) −0.0725427 + 0.458017i −0.00670658 + 0.0423437i
\(118\) −0.339901 2.14605i −0.0312905 0.197560i
\(119\) −5.36720 + 1.89485i −0.492010 + 0.173701i
\(120\) −2.56587 2.98024i −0.234231 0.272057i
\(121\) 9.53765 5.48025i 0.867059 0.498205i
\(122\) 5.67136 5.67136i 0.513461 0.513461i
\(123\) −16.9441 8.63346i −1.52780 0.778453i
\(124\) −6.27632 4.56001i −0.563630 0.409501i
\(125\) −4.15534 + 10.3795i −0.371665 + 0.928367i
\(126\) −0.236124 0.0701887i −0.0210356 0.00625291i
\(127\) −15.3777 + 7.83534i −1.36455 + 0.695274i −0.974262 0.225417i \(-0.927625\pi\)
−0.390290 + 0.920692i \(0.627625\pi\)
\(128\) −0.156434 + 0.987688i −0.0138270 + 0.0873001i
\(129\) 3.94221 + 2.86419i 0.347093 + 0.252177i
\(130\) −9.51887 5.78137i −0.834860 0.507060i
\(131\) 9.23828i 0.807153i −0.914946 0.403576i \(-0.867767\pi\)
0.914946 0.403576i \(-0.132233\pi\)
\(132\) 2.92174 5.04852i 0.254305 0.439418i
\(133\) −15.3179 + 16.1108i −1.32823 + 1.39698i
\(134\) −0.751269 + 0.244102i −0.0648998 + 0.0210872i
\(135\) −8.72212 7.38978i −0.750681 0.636011i
\(136\) −1.26451 1.74045i −0.108431 0.149243i
\(137\) 5.55427 2.83004i 0.474533 0.241787i −0.200332 0.979728i \(-0.564202\pi\)
0.674865 + 0.737941i \(0.264202\pi\)
\(138\) 1.55444 0.792025i 0.132322 0.0674216i
\(139\) −0.609648 + 0.442935i −0.0517097 + 0.0375693i −0.613340 0.789819i \(-0.710174\pi\)
0.561630 + 0.827388i \(0.310174\pi\)
\(140\) 3.70926 4.60884i 0.313489 0.389518i
\(141\) 1.17809 + 3.62578i 0.0992129 + 0.305346i
\(142\) 4.45436 + 4.45436i 0.373801 + 0.373801i
\(143\) 3.45120 16.1543i 0.288604 1.35089i
\(144\) 0.0931060i 0.00775883i
\(145\) 10.1553 + 6.16793i 0.843355 + 0.512219i
\(146\) −0.0197073 + 0.0271248i −0.00163099 + 0.00224486i
\(147\) 1.31026 12.2411i 0.108069 1.00963i
\(148\) −4.13580 8.11697i −0.339961 0.667211i
\(149\) 19.6433 + 6.38250i 1.60924 + 0.522874i 0.969370 0.245607i \(-0.0789872\pi\)
0.639872 + 0.768481i \(0.278987\pi\)
\(150\) −7.80326 + 4.05423i −0.637133 + 0.331027i
\(151\) −3.26866 2.37482i −0.266000 0.193260i 0.446788 0.894640i \(-0.352568\pi\)
−0.712788 + 0.701380i \(0.752568\pi\)
\(152\) −7.48653 3.81458i −0.607238 0.309403i
\(153\) 0.141634 + 0.141634i 0.0114504 + 0.0114504i
\(154\) 8.26579 + 2.94561i 0.666077 + 0.237364i
\(155\) −13.1462 + 11.3184i −1.05593 + 0.909117i
\(156\) −2.70685 8.33082i −0.216721 0.666999i
\(157\) 23.1711 3.66994i 1.84925 0.292893i 0.869626 0.493711i \(-0.164360\pi\)
0.979629 + 0.200818i \(0.0643601\pi\)
\(158\) 1.63587 10.3285i 0.130143 0.821689i
\(159\) −3.77748 + 11.6259i −0.299573 + 0.921992i
\(160\) 2.06923 + 0.847507i 0.163587 + 0.0670013i
\(161\) 1.59569 + 2.08367i 0.125758 + 0.164216i
\(162\) −1.45025 9.15651i −0.113942 0.719404i
\(163\) −11.8031 6.01396i −0.924488 0.471050i −0.0741262 0.997249i \(-0.523617\pi\)
−0.850362 + 0.526199i \(0.823617\pi\)
\(164\) 10.8129 0.844342
\(165\) −9.48735 8.95048i −0.738589 0.696794i
\(166\) 11.4613i 0.889567i
\(167\) −3.63983 1.85459i −0.281659 0.143512i 0.307454 0.951563i \(-0.400523\pi\)
−0.589113 + 0.808050i \(0.700523\pi\)
\(168\) 4.57603 0.843594i 0.353049 0.0650847i
\(169\) −6.93977 9.55177i −0.533828 0.734752i
\(170\) −4.43699 + 1.85851i −0.340301 + 0.142541i
\(171\) 0.744018 + 0.241746i 0.0568965 + 0.0184868i
\(172\) −2.73656 0.433429i −0.208661 0.0330486i
\(173\) 3.00912 + 18.9988i 0.228779 + 1.44445i 0.788123 + 0.615517i \(0.211053\pi\)
−0.559344 + 0.828935i \(0.688947\pi\)
\(174\) 2.88784 + 8.88784i 0.218926 + 0.673786i
\(175\) −8.12617 10.4386i −0.614281 0.789088i
\(176\) −0.177010 + 3.31190i −0.0133426 + 0.249644i
\(177\) −2.70211 2.70211i −0.203103 0.203103i
\(178\) 2.36438 4.64036i 0.177218 0.347809i
\(179\) 0.286999 0.395020i 0.0214513 0.0295252i −0.798157 0.602450i \(-0.794191\pi\)
0.819608 + 0.572925i \(0.194191\pi\)
\(180\) −0.202630 0.0477981i −0.0151032 0.00356266i
\(181\) 14.5471 + 4.72663i 1.08127 + 0.351327i 0.794869 0.606781i \(-0.207539\pi\)
0.286406 + 0.958108i \(0.407539\pi\)
\(182\) 11.5866 6.27669i 0.858857 0.465259i
\(183\) 2.20664 13.9322i 0.163120 1.02990i
\(184\) −0.583060 + 0.802513i −0.0429838 + 0.0591621i
\(185\) −19.7885 + 4.83387i −1.45488 + 0.355393i
\(186\) −13.6441 −1.00043
\(187\) −4.76883 5.30737i −0.348732 0.388113i
\(188\) −1.53279 1.53279i −0.111790 0.111790i
\(189\) 12.7547 4.50295i 0.927765 0.327541i
\(190\) −12.1452 + 14.3349i −0.881105 + 1.03996i
\(191\) −5.58034 + 4.05435i −0.403779 + 0.293363i −0.771078 0.636740i \(-0.780282\pi\)
0.367299 + 0.930103i \(0.380282\pi\)
\(192\) 0.798443 + 1.56703i 0.0576227 + 0.113091i
\(193\) 4.12860 + 8.10282i 0.297183 + 0.583254i 0.990521 0.137358i \(-0.0438610\pi\)
−0.693339 + 0.720612i \(0.743861\pi\)
\(194\) 0.877065 0.637225i 0.0629696 0.0457501i
\(195\) −19.5203 + 1.61420i −1.39788 + 0.115595i
\(196\) 2.49608 + 6.53985i 0.178291 + 0.467132i
\(197\) 1.14461 + 1.14461i 0.0815497 + 0.0815497i 0.746705 0.665155i \(-0.231635\pi\)
−0.665155 + 0.746705i \(0.731635\pi\)
\(198\) −0.0319600 0.307139i −0.00227130 0.0218274i
\(199\) −9.75976 −0.691851 −0.345925 0.938262i \(-0.612435\pi\)
−0.345925 + 0.938262i \(0.612435\pi\)
\(200\) 2.90675 4.06827i 0.205538 0.287670i
\(201\) −0.816592 + 1.12394i −0.0575980 + 0.0792768i
\(202\) −1.64029 + 10.3564i −0.115411 + 0.728674i
\(203\) −12.3613 + 6.69636i −0.867596 + 0.469993i
\(204\) −3.59839 1.16919i −0.251938 0.0818596i
\(205\) 5.55103 23.5324i 0.387701 1.64358i
\(206\) −2.59914 + 3.57741i −0.181091 + 0.249250i
\(207\) 0.0419294 0.0822911i 0.00291430 0.00571963i
\(208\) 3.52183 + 3.52183i 0.244195 + 0.244195i
\(209\) −26.0061 10.0137i −1.79888 0.692663i
\(210\) 0.513268 10.3921i 0.0354188 0.717121i
\(211\) −0.676608 2.08239i −0.0465796 0.143357i 0.925062 0.379817i \(-0.124013\pi\)
−0.971641 + 0.236459i \(0.924013\pi\)
\(212\) −1.08731 6.86502i −0.0746769 0.471491i
\(213\) 10.9425 + 1.73313i 0.749769 + 0.118752i
\(214\) 7.16479 + 2.32798i 0.489775 + 0.159138i
\(215\) −2.34816 + 5.73317i −0.160143 + 0.390999i
\(216\) 3.00501 + 4.13604i 0.204465 + 0.281422i
\(217\) −3.72120 20.1855i −0.252612 1.37028i
\(218\) 13.7854 + 7.02403i 0.933668 + 0.475727i
\(219\) 0.0589665i 0.00398459i
\(220\) 7.11694 + 2.08547i 0.479824 + 0.140602i
\(221\) −10.7149 −0.720764
\(222\) −14.2755 7.27373i −0.958108 0.488181i
\(223\) 1.02986 + 6.50225i 0.0689642 + 0.435423i 0.997877 + 0.0651248i \(0.0207445\pi\)
−0.928913 + 0.370298i \(0.879255\pi\)
\(224\) −2.10055 + 1.60862i −0.140349 + 0.107481i
\(225\) −0.208050 + 0.416453i −0.0138700 + 0.0277636i
\(226\) −1.52589 + 4.69620i −0.101500 + 0.312386i
\(227\) 3.86113 24.3782i 0.256272 1.61804i −0.438445 0.898758i \(-0.644471\pi\)
0.694718 0.719282i \(-0.255529\pi\)
\(228\) −14.5954 + 2.31169i −0.966606 + 0.153095i
\(229\) −2.57786 7.93385i −0.170350 0.524283i 0.829041 0.559188i \(-0.188887\pi\)
−0.999391 + 0.0349051i \(0.988887\pi\)
\(230\) 1.44721 + 1.68092i 0.0954264 + 0.110837i
\(231\) 14.8059 4.35365i 0.974157 0.286449i
\(232\) −3.75732 3.75732i −0.246680 0.246680i
\(233\) −14.6467 7.46288i −0.959539 0.488910i −0.0972136 0.995264i \(-0.530993\pi\)
−0.862326 + 0.506354i \(0.830993\pi\)
\(234\) −0.375162 0.272571i −0.0245251 0.0178185i
\(235\) −4.12277 + 2.54898i −0.268940 + 0.166277i
\(236\) 2.06646 + 0.671433i 0.134515 + 0.0437066i
\(237\) −8.34950 16.3868i −0.542358 1.06444i
\(238\) 0.748331 5.64245i 0.0485071 0.365746i
\(239\) −15.4095 + 21.2094i −0.996761 + 1.37192i −0.0694689 + 0.997584i \(0.522130\pi\)
−0.927292 + 0.374339i \(0.877870\pi\)
\(240\) 3.82029 0.933210i 0.246599 0.0602385i
\(241\) 14.9517i 0.963125i 0.876412 + 0.481563i \(0.159931\pi\)
−0.876412 + 0.481563i \(0.840069\pi\)
\(242\) 0.552936 + 10.9861i 0.0355441 + 0.706213i
\(243\) −0.683942 0.683942i −0.0438749 0.0438749i
\(244\) 2.47848 + 7.62797i 0.158668 + 0.488330i
\(245\) 15.5143 2.07492i 0.991175 0.132562i
\(246\) 15.3849 11.1778i 0.980907 0.712671i
\(247\) −37.2876 + 18.9990i −2.37255 + 1.20888i
\(248\) 6.91239 3.52204i 0.438937 0.223650i
\(249\) 11.8481 + 16.3075i 0.750843 + 1.03345i
\(250\) −7.36168 8.41461i −0.465593 0.532187i
\(251\) −4.61987 + 1.50109i −0.291603 + 0.0947477i −0.451166 0.892440i \(-0.648992\pi\)
0.159562 + 0.987188i \(0.448992\pi\)
\(252\) 0.169737 0.178523i 0.0106924 0.0112459i
\(253\) −1.64793 + 2.84749i −0.103605 + 0.179020i
\(254\) 17.2588i 1.08292i
\(255\) −4.39187 + 7.23109i −0.275030 + 0.452829i
\(256\) −0.809017 0.587785i −0.0505636 0.0367366i
\(257\) −0.981998 + 6.20009i −0.0612554 + 0.386751i 0.937946 + 0.346783i \(0.112726\pi\)
−0.999201 + 0.0399687i \(0.987274\pi\)
\(258\) −4.34174 + 2.21222i −0.270305 + 0.137727i
\(259\) 6.86757 23.1034i 0.426730 1.43557i
\(260\) 9.47272 5.85669i 0.587473 0.363216i
\(261\) 0.400247 + 0.290796i 0.0247747 + 0.0179998i
\(262\) 8.23137 + 4.19409i 0.508536 + 0.259112i
\(263\) 6.48066 6.48066i 0.399615 0.399615i −0.478482 0.878097i \(-0.658813\pi\)
0.878097 + 0.478482i \(0.158813\pi\)
\(264\) 3.17182 + 4.89527i 0.195212 + 0.301283i
\(265\) −15.4988 1.15796i −0.952084 0.0711327i
\(266\) −7.40064 20.9624i −0.453763 1.28529i
\(267\) −1.43285 9.04665i −0.0876889 0.553646i
\(268\) 0.123572 0.780206i 0.00754839 0.0476587i
\(269\) −1.55432 + 4.78372i −0.0947688 + 0.291668i −0.987193 0.159528i \(-0.949003\pi\)
0.892425 + 0.451197i \(0.149003\pi\)
\(270\) 10.5441 4.41658i 0.641694 0.268784i
\(271\) 6.69194 + 9.21066i 0.406506 + 0.559508i 0.962362 0.271771i \(-0.0876093\pi\)
−0.555856 + 0.831279i \(0.687609\pi\)
\(272\) 2.12483 0.336541i 0.128837 0.0204058i
\(273\) 9.99733 20.9084i 0.605066 1.26543i
\(274\) 6.23370i 0.376592i
\(275\) 8.19234 14.4182i 0.494016 0.869453i
\(276\) 1.74458i 0.105012i
\(277\) −12.4757 + 24.4849i −0.749592 + 1.47116i 0.128013 + 0.991772i \(0.459140\pi\)
−0.877605 + 0.479384i \(0.840860\pi\)
\(278\) −0.117884 0.744289i −0.00707020 0.0446395i
\(279\) −0.584363 + 0.424565i −0.0349849 + 0.0254180i
\(280\) 2.42254 + 5.39734i 0.144775 + 0.322553i
\(281\) −8.33751 + 25.6602i −0.497374 + 1.53076i 0.315850 + 0.948809i \(0.397710\pi\)
−0.813224 + 0.581951i \(0.802290\pi\)
\(282\) −3.76544 0.596387i −0.224228 0.0355143i
\(283\) −2.16946 13.6974i −0.128961 0.814227i −0.964362 0.264586i \(-0.914765\pi\)
0.835401 0.549641i \(-0.185235\pi\)
\(284\) −5.99110 + 1.94663i −0.355506 + 0.115511i
\(285\) −2.46188 + 32.9513i −0.145829 + 1.95187i
\(286\) 12.8268 + 10.4090i 0.758464 + 0.615494i
\(287\) 20.7328 + 19.7124i 1.22382 + 1.16358i
\(288\) 0.0829580 + 0.0422692i 0.00488835 + 0.00249074i
\(289\) 7.27197 10.0090i 0.427763 0.588766i
\(290\) −10.1061 + 6.24829i −0.593450 + 0.366912i
\(291\) 0.589188 1.81333i 0.0345388 0.106300i
\(292\) −0.0152214 0.0298737i −0.000890766 0.00174823i
\(293\) 21.2785 + 3.37018i 1.24310 + 0.196888i 0.743126 0.669151i \(-0.233342\pi\)
0.499976 + 0.866039i \(0.333342\pi\)
\(294\) 10.3121 + 6.72481i 0.601413 + 0.392199i
\(295\) 2.52213 4.15262i 0.146844 0.241775i
\(296\) 9.10988 0.529501
\(297\) 11.3327 + 12.6125i 0.657590 + 0.731851i
\(298\) −14.6047 + 14.6047i −0.846029 + 0.846029i
\(299\) 1.52673 + 4.69878i 0.0882928 + 0.271737i
\(300\) −0.0697448 8.79334i −0.00402672 0.507684i
\(301\) −4.45697 5.81995i −0.256895 0.335456i
\(302\) 3.59992 1.83425i 0.207152 0.105549i
\(303\) 8.37208 + 16.4311i 0.480963 + 0.943944i
\(304\) 6.79762 4.93876i 0.389870 0.283257i
\(305\) 17.8734 1.47801i 1.02343 0.0846306i
\(306\) −0.190497 + 0.0618963i −0.0108900 + 0.00353838i
\(307\) −13.4825 + 13.4825i −0.769484 + 0.769484i −0.978016 0.208531i \(-0.933132\pi\)
0.208531 + 0.978016i \(0.433132\pi\)
\(308\) −6.37715 + 6.02760i −0.363372 + 0.343454i
\(309\) 7.77694i 0.442415i
\(310\) −4.11651 16.8518i −0.233802 0.957119i
\(311\) 10.7891 14.8499i 0.611794 0.842063i −0.384929 0.922946i \(-0.625774\pi\)
0.996724 + 0.0808835i \(0.0257742\pi\)
\(312\) 8.65170 + 1.37029i 0.489806 + 0.0775776i
\(313\) −13.5577 + 6.90797i −0.766324 + 0.390462i −0.793031 0.609182i \(-0.791498\pi\)
0.0267065 + 0.999643i \(0.491498\pi\)
\(314\) −7.24951 + 22.3117i −0.409114 + 1.25912i
\(315\) −0.301388 0.461053i −0.0169813 0.0259774i
\(316\) 8.46007 + 6.14660i 0.475916 + 0.345773i
\(317\) −4.66500 + 9.15558i −0.262012 + 0.514228i −0.984109 0.177564i \(-0.943178\pi\)
0.722097 + 0.691792i \(0.243178\pi\)
\(318\) −8.64379 8.64379i −0.484720 0.484720i
\(319\) −13.6844 11.1049i −0.766181 0.621757i
\(320\) −1.69455 + 1.45894i −0.0947281 + 0.0815573i
\(321\) 12.6009 4.09427i 0.703312 0.228520i
\(322\) −2.58099 + 0.475807i −0.143833 + 0.0265157i
\(323\) −2.82772 + 17.8535i −0.157339 + 0.993398i
\(324\) 8.81691 + 2.86479i 0.489828 + 0.159155i
\(325\) −7.88310 23.6225i −0.437276 1.31034i
\(326\) 10.7170 7.78633i 0.593558 0.431245i
\(327\) 26.8755 4.25666i 1.48622 0.235394i
\(328\) −4.90894 + 9.63433i −0.271051 + 0.531967i
\(329\) −0.144649 5.73336i −0.00797473 0.316090i
\(330\) 12.2821 4.38986i 0.676107 0.241654i
\(331\) −20.9088 −1.14925 −0.574625 0.818417i \(-0.694852\pi\)
−0.574625 + 0.818417i \(0.694852\pi\)
\(332\) −10.2121 5.20331i −0.560460 0.285569i
\(333\) −0.837742 + 0.132685i −0.0459080 + 0.00727111i
\(334\) 3.30490 2.40115i 0.180836 0.131385i
\(335\) −1.63455 0.669472i −0.0893052 0.0365772i
\(336\) −1.32583 + 4.46026i −0.0723299 + 0.243327i
\(337\) 17.1842 + 2.72171i 0.936084 + 0.148261i 0.605797 0.795619i \(-0.292854\pi\)
0.330287 + 0.943881i \(0.392854\pi\)
\(338\) 11.6613 1.84697i 0.634290 0.100462i
\(339\) 2.68361 + 8.25931i 0.145754 + 0.448584i
\(340\) 0.358406 4.79713i 0.0194373 0.260161i
\(341\) 21.5937 13.9913i 1.16936 0.757673i
\(342\) −0.553174 + 0.553174i −0.0299122 + 0.0299122i
\(343\) −7.13644 + 17.0901i −0.385332 + 0.922778i
\(344\) 1.62856 2.24152i 0.0878061 0.120855i
\(345\) 3.79681 + 0.895623i 0.204413 + 0.0482187i
\(346\) −18.2942 5.94414i −0.983501 0.319559i
\(347\) −8.69932 + 4.43253i −0.467004 + 0.237950i −0.671626 0.740891i \(-0.734404\pi\)
0.204622 + 0.978841i \(0.434404\pi\)
\(348\) −9.23018 1.46192i −0.494789 0.0783669i
\(349\) 19.5412 + 14.1975i 1.04602 + 0.759976i 0.971451 0.237240i \(-0.0762429\pi\)
0.0745658 + 0.997216i \(0.476243\pi\)
\(350\) 12.9901 2.50142i 0.694350 0.133707i
\(351\) 25.4631 1.35912
\(352\) −2.87056 1.66129i −0.153001 0.0885469i
\(353\) −0.769424 0.769424i −0.0409523 0.0409523i 0.686334 0.727286i \(-0.259219\pi\)
−0.727286 + 0.686334i \(0.759219\pi\)
\(354\) 3.63433 1.18087i 0.193162 0.0627623i
\(355\) 1.16085 + 14.0380i 0.0616114 + 0.745060i
\(356\) 3.06118 + 4.21336i 0.162242 + 0.223307i
\(357\) −4.76814 8.80187i −0.252357 0.465845i
\(358\) 0.221671 + 0.435053i 0.0117157 + 0.0229933i
\(359\) 7.37721 + 10.1539i 0.389354 + 0.535900i 0.958032 0.286660i \(-0.0925450\pi\)
−0.568678 + 0.822560i \(0.692545\pi\)
\(360\) 0.134581 0.158845i 0.00709302 0.00837186i
\(361\) 15.9450 + 49.0736i 0.839210 + 2.58282i
\(362\) −10.8157 + 10.8157i −0.568460 + 0.568460i
\(363\) 12.1436 + 15.0598i 0.637375 + 0.790435i
\(364\) 0.332353 + 13.1733i 0.0174200 + 0.690469i
\(365\) −0.0728296 + 0.0177906i −0.00381207 + 0.000931202i
\(366\) 11.4119 + 8.29122i 0.596509 + 0.433389i
\(367\) 1.46111 9.22511i 0.0762696 0.481547i −0.919757 0.392489i \(-0.871614\pi\)
0.996026 0.0890584i \(-0.0283858\pi\)
\(368\) −0.450341 0.883844i −0.0234756 0.0460735i
\(369\) 0.311100 0.957468i 0.0161952 0.0498438i
\(370\) 4.67677 19.8262i 0.243134 1.03071i
\(371\) 10.4304 15.1453i 0.541521 0.786307i
\(372\) 6.19429 12.1570i 0.321159 0.630310i
\(373\) 14.4659 14.4659i 0.749016 0.749016i −0.225278 0.974294i \(-0.572329\pi\)
0.974294 + 0.225278i \(0.0723291\pi\)
\(374\) 6.89391 1.83957i 0.356475 0.0951216i
\(375\) −19.1731 4.36247i −0.990094 0.225277i
\(376\) 2.06160 0.669854i 0.106319 0.0345451i
\(377\) −26.1395 + 4.14008i −1.34625 + 0.213225i
\(378\) −1.77834 + 13.4088i −0.0914681 + 0.689673i
\(379\) 18.1318 + 5.89139i 0.931370 + 0.302620i 0.735123 0.677934i \(-0.237125\pi\)
0.196247 + 0.980555i \(0.437125\pi\)
\(380\) −7.25870 17.3294i −0.372364 0.888977i
\(381\) −17.8413 24.5565i −0.914039 1.25807i
\(382\) −1.07903 6.81275i −0.0552082 0.348571i
\(383\) −15.1504 + 29.7343i −0.774148 + 1.51935i 0.0785283 + 0.996912i \(0.474978\pi\)
−0.852676 + 0.522439i \(0.825022\pi\)
\(384\) −1.75872 −0.0897494
\(385\) 9.84423 + 16.9732i 0.501708 + 0.865037i
\(386\) −9.09401 −0.462873
\(387\) −0.117114 + 0.229849i −0.00595325 + 0.0116839i
\(388\) 0.169592 + 1.07076i 0.00860975 + 0.0543598i
\(389\) −9.94151 13.6833i −0.504054 0.693771i 0.478848 0.877898i \(-0.341054\pi\)
−0.982903 + 0.184126i \(0.941054\pi\)
\(390\) 7.42377 18.1255i 0.375917 0.917823i
\(391\) 2.02958 + 0.659450i 0.102640 + 0.0333498i
\(392\) −6.96024 0.745009i −0.351545 0.0376286i
\(393\) 16.0475 2.54168i 0.809492 0.128211i
\(394\) −1.53949 + 0.500211i −0.0775584 + 0.0252003i
\(395\) 17.7203 15.2565i 0.891603 0.767637i
\(396\) 0.288173 + 0.110962i 0.0144812 + 0.00557604i
\(397\) 16.0721 16.0721i 0.806634 0.806634i −0.177489 0.984123i \(-0.556797\pi\)
0.984123 + 0.177489i \(0.0567974\pi\)
\(398\) 4.43084 8.69601i 0.222098 0.435891i
\(399\) −32.1999 22.1757i −1.61201 1.11017i
\(400\) 2.30522 + 4.43689i 0.115261 + 0.221844i
\(401\) −3.90277 + 12.0115i −0.194895 + 0.599825i 0.805083 + 0.593162i \(0.202121\pi\)
−0.999978 + 0.00666252i \(0.997879\pi\)
\(402\) −0.630715 1.23785i −0.0314572 0.0617383i
\(403\) 6.04455 38.1638i 0.301100 1.90107i
\(404\) −8.48295 6.16322i −0.422043 0.306632i
\(405\) 10.7611 17.7179i 0.534724 0.880408i
\(406\) −0.354575 14.0541i −0.0175973 0.697494i
\(407\) 30.0518 3.12710i 1.48961 0.155005i
\(408\) 2.67539 2.67539i 0.132452 0.132452i
\(409\) 4.38734 + 13.5028i 0.216940 + 0.667672i 0.999010 + 0.0444820i \(0.0141637\pi\)
−0.782070 + 0.623190i \(0.785836\pi\)
\(410\) 18.4474 + 15.6295i 0.911054 + 0.771886i
\(411\) 6.44410 + 8.86954i 0.317864 + 0.437502i
\(412\) −2.00751 3.93996i −0.0989030 0.194108i
\(413\) 2.73821 + 5.05468i 0.134739 + 0.248724i
\(414\) 0.0542864 + 0.0747188i 0.00266803 + 0.00367223i
\(415\) −16.5668 + 19.5537i −0.813230 + 0.959852i
\(416\) −4.73686 + 1.53910i −0.232244 + 0.0754605i
\(417\) −0.937139 0.937139i −0.0458919 0.0458919i
\(418\) 20.7288 18.6254i 1.01388 0.911000i
\(419\) −20.1673 −0.985235 −0.492618 0.870246i \(-0.663960\pi\)
−0.492618 + 0.870246i \(0.663960\pi\)
\(420\) 9.02639 + 5.17523i 0.440443 + 0.252525i
\(421\) −19.3015 14.0234i −0.940699 0.683458i 0.00788990 0.999969i \(-0.497489\pi\)
−0.948589 + 0.316511i \(0.897489\pi\)
\(422\) 2.16259 + 0.342521i 0.105273 + 0.0166737i
\(423\) −0.179828 + 0.0916268i −0.00874352 + 0.00445505i
\(424\) 6.61041 + 2.14785i 0.321030 + 0.104309i
\(425\) −10.2562 3.24273i −0.497498 0.157295i
\(426\) −6.51203 + 8.96304i −0.315509 + 0.434261i
\(427\) −9.15388 + 19.1444i −0.442987 + 0.926462i
\(428\) −5.32699 + 5.32699i −0.257490 + 0.257490i
\(429\) 29.0107 + 1.55052i 1.40065 + 0.0748599i
\(430\) −4.04225 4.69503i −0.194935 0.226415i
\(431\) −7.24649 22.3024i −0.349051 1.07427i −0.959379 0.282120i \(-0.908962\pi\)
0.610328 0.792149i \(-0.291038\pi\)
\(432\) −5.04948 + 0.799759i −0.242943 + 0.0384784i
\(433\) −17.2571 2.73325i −0.829322 0.131352i −0.272681 0.962105i \(-0.587910\pi\)
−0.556641 + 0.830753i \(0.687910\pi\)
\(434\) 19.6748 + 5.84841i 0.944421 + 0.280732i
\(435\) −7.92015 + 19.3375i −0.379742 + 0.927161i
\(436\) −12.5169 + 9.09407i −0.599451 + 0.435527i
\(437\) 8.23216 1.30385i 0.393798 0.0623714i
\(438\) −0.0525396 0.0267702i −0.00251044 0.00127913i
\(439\) −1.01542 −0.0484636 −0.0242318 0.999706i \(-0.507714\pi\)
−0.0242318 + 0.999706i \(0.507714\pi\)
\(440\) −5.08919 + 5.39445i −0.242618 + 0.257170i
\(441\) 0.650913 0.0328650i 0.0309958 0.00156500i
\(442\) 4.86447 9.54707i 0.231379 0.454108i
\(443\) −22.7315 + 3.60031i −1.08001 + 0.171056i −0.670986 0.741470i \(-0.734129\pi\)
−0.409019 + 0.912526i \(0.634129\pi\)
\(444\) 12.9619 9.41735i 0.615143 0.446928i
\(445\) 10.7412 4.49914i 0.509182 0.213280i
\(446\) −6.26110 2.03435i −0.296471 0.0963294i
\(447\) −5.68248 + 35.8778i −0.268772 + 1.69696i
\(448\) −0.479663 2.60191i −0.0226619 0.122929i
\(449\) 34.6662 11.2637i 1.63600 0.531568i 0.660358 0.750951i \(-0.270404\pi\)
0.975639 + 0.219383i \(0.0704043\pi\)
\(450\) −0.276610 0.374439i −0.0130395 0.0176512i
\(451\) −12.8865 + 33.4669i −0.606803 + 1.57590i
\(452\) −3.49160 3.49160i −0.164231 0.164231i
\(453\) 3.22594 6.33126i 0.151568 0.297468i
\(454\) 19.9682 + 14.5078i 0.937156 + 0.680884i
\(455\) 28.8402 + 6.03951i 1.35205 + 0.283137i
\(456\) 4.56646 14.0541i 0.213844 0.658144i
\(457\) −13.4019 + 6.82862i −0.626916 + 0.319430i −0.738427 0.674334i \(-0.764431\pi\)
0.111511 + 0.993763i \(0.464431\pi\)
\(458\) 8.23943 + 1.30500i 0.385003 + 0.0609786i
\(459\) 6.46473 8.89794i 0.301748 0.415320i
\(460\) −2.15474 + 0.526352i −0.100465 + 0.0245413i
\(461\) 16.1318i 0.751332i −0.926755 0.375666i \(-0.877414\pi\)
0.926755 0.375666i \(-0.122586\pi\)
\(462\) −2.84261 + 15.1687i −0.132250 + 0.705711i
\(463\) 24.3880 24.3880i 1.13340 1.13340i 0.143798 0.989607i \(-0.454069\pi\)
0.989607 0.143798i \(-0.0459315\pi\)
\(464\) 5.05358 1.64201i 0.234607 0.0762283i
\(465\) −23.2777 19.7219i −1.07948 0.914583i
\(466\) 13.2990 9.66226i 0.616062 0.447595i
\(467\) −0.0342709 0.0672604i −0.00158587 0.00311244i 0.890212 0.455546i \(-0.150556\pi\)
−0.891798 + 0.452434i \(0.850556\pi\)
\(468\) 0.413183 0.210527i 0.0190994 0.00973162i
\(469\) 1.65929 1.27070i 0.0766190 0.0586756i
\(470\) −0.399460 4.83062i −0.0184257 0.222820i
\(471\) 12.7499 + 39.2401i 0.587484 + 1.80809i
\(472\) −1.53640 + 1.53640i −0.0707188 + 0.0707188i
\(473\) 4.60288 7.95339i 0.211641 0.365697i
\(474\) 18.3914 0.844743
\(475\) −41.4410 + 6.90096i −1.90144 + 0.316638i
\(476\) 4.68773 + 3.22839i 0.214862 + 0.147973i
\(477\) −0.639174 0.101235i −0.0292658 0.00463524i
\(478\) −11.9019 23.3589i −0.544382 1.06841i
\(479\) −12.5566 + 38.6452i −0.573726 + 1.76575i 0.0667519 + 0.997770i \(0.478736\pi\)
−0.640478 + 0.767977i \(0.721264\pi\)
\(480\) −0.902881 + 3.82758i −0.0412107 + 0.174704i
\(481\) 26.6695 36.7075i 1.21603 1.67372i
\(482\) −13.3221 6.78794i −0.606804 0.309182i
\(483\) −3.18046 + 3.34510i −0.144716 + 0.152207i
\(484\) −10.0397 4.49491i −0.456350 0.204314i
\(485\) 2.41741 + 0.180611i 0.109769 + 0.00820113i
\(486\) 0.919900 0.298893i 0.0417275 0.0135581i
\(487\) 3.01282 + 19.0222i 0.136524 + 0.861978i 0.956956 + 0.290234i \(0.0937331\pi\)
−0.820432 + 0.571744i \(0.806267\pi\)
\(488\) −7.92177 1.25469i −0.358602 0.0567969i
\(489\) 7.19936 22.1573i 0.325566 1.00199i
\(490\) −5.19459 + 14.7654i −0.234668 + 0.667032i
\(491\) 14.7073 10.6855i 0.663732 0.482229i −0.204190 0.978931i \(-0.565456\pi\)
0.867921 + 0.496702i \(0.165456\pi\)
\(492\) 2.97489 + 18.7827i 0.134118 + 0.846789i
\(493\) −5.18973 + 10.1854i −0.233734 + 0.458728i
\(494\) 41.8488i 1.88287i
\(495\) 0.389430 0.570196i 0.0175036 0.0256284i
\(496\) 7.75796i 0.348343i
\(497\) −15.0362 7.18957i −0.674467 0.322496i
\(498\) −19.9090 + 3.15328i −0.892145 + 0.141302i
\(499\) −12.8045 17.6238i −0.573206 0.788950i 0.419724 0.907652i \(-0.362127\pi\)
−0.992930 + 0.118701i \(0.962127\pi\)
\(500\) 10.8396 2.73915i 0.484762 0.122498i
\(501\) 2.22014 6.83289i 0.0991886 0.305271i
\(502\) 0.759898 4.79781i 0.0339159 0.214137i
\(503\) 1.05459 + 6.65842i 0.0470218 + 0.296884i 0.999981 0.00621555i \(-0.00197848\pi\)
−0.952959 + 0.303100i \(0.901978\pi\)
\(504\) 0.0820064 + 0.232284i 0.00365285 + 0.0103468i
\(505\) −17.7682 + 15.2977i −0.790673 + 0.680740i
\(506\) −1.78898 2.76105i −0.0795300 0.122744i
\(507\) 14.6828 14.6828i 0.652086 0.652086i
\(508\) 15.3777 + 7.83534i 0.682276 + 0.347637i
\(509\) 0.599341 + 0.435447i 0.0265653 + 0.0193008i 0.600989 0.799258i \(-0.294774\pi\)
−0.574423 + 0.818558i \(0.694774\pi\)
\(510\) −4.44908 7.19603i −0.197009 0.318646i
\(511\) 0.0252754 0.0850298i 0.00111812 0.00376150i
\(512\) 0.891007 0.453990i 0.0393773 0.0200637i
\(513\) 6.71983 42.4274i 0.296688 1.87321i
\(514\) −5.07851 3.68975i −0.224003 0.162748i
\(515\) −9.60530 + 2.34635i −0.423260 + 0.103393i
\(516\) 4.87284i 0.214515i
\(517\) 6.57090 2.91740i 0.288988 0.128307i
\(518\) 17.4675 + 16.6078i 0.767476 + 0.729703i
\(519\) −32.1744 + 10.4541i −1.41230 + 0.458884i
\(520\) 0.917823 + 11.0991i 0.0402492 + 0.486729i
\(521\) −11.1859 15.3961i −0.490065 0.674517i 0.490335 0.871534i \(-0.336874\pi\)
−0.980400 + 0.197017i \(0.936874\pi\)
\(522\) −0.440810 + 0.224604i −0.0192937 + 0.00983064i
\(523\) 22.7973 11.6158i 0.996857 0.507924i 0.122117 0.992516i \(-0.461032\pi\)
0.874741 + 0.484592i \(0.161032\pi\)
\(524\) −7.47393 + 5.43013i −0.326500 + 0.237216i
\(525\) 15.8970 16.9877i 0.693800 0.741402i
\(526\) 2.83215 + 8.71647i 0.123488 + 0.380056i
\(527\) −11.8015 11.8015i −0.514082 0.514082i
\(528\) −5.80170 + 0.603707i −0.252487 + 0.0262730i
\(529\) 22.0160i 0.957218i
\(530\) 8.06806 13.2838i 0.350454 0.577013i
\(531\) 0.118910 0.163665i 0.00516024 0.00710245i
\(532\) 22.0375 + 2.92273i 0.955447 + 0.126716i
\(533\) 24.4496 + 47.9850i 1.05903 + 2.07846i
\(534\) 8.71112 + 2.83042i 0.376967 + 0.122484i
\(535\) 8.85860 + 14.3281i 0.382991 + 0.619457i
\(536\) 0.639068 + 0.464310i 0.0276035 + 0.0200551i
\(537\) 0.765137 + 0.389857i 0.0330181 + 0.0168236i
\(538\) −3.55668 3.55668i −0.153339 0.153339i
\(539\) −23.2163 0.0684389i −0.999996 0.00294787i
\(540\) −0.851721 + 11.3999i −0.0366522 + 0.490576i
\(541\) 5.19104 + 15.9764i 0.223180 + 0.686878i 0.998471 + 0.0552737i \(0.0176031\pi\)
−0.775291 + 0.631604i \(0.782397\pi\)
\(542\) −11.2448 + 1.78101i −0.483007 + 0.0765008i
\(543\) −4.20822 + 26.5697i −0.180592 + 1.14021i
\(544\) −0.664794 + 2.04603i −0.0285028 + 0.0877227i
\(545\) 13.3659 + 31.9097i 0.572533 + 1.36686i
\(546\) 14.0908 + 18.3999i 0.603031 + 0.787443i
\(547\) −4.63043 29.2354i −0.197983 1.25001i −0.863775 0.503878i \(-0.831906\pi\)
0.665792 0.746137i \(-0.268094\pi\)
\(548\) −5.55427 2.83004i −0.237267 0.120893i
\(549\) 0.746758 0.0318709
\(550\) 9.12750 + 13.8452i 0.389198 + 0.590360i
\(551\) 44.6470i 1.90203i
\(552\) −1.55444 0.792025i −0.0661612 0.0337108i
\(553\) 5.01594 + 27.2087i 0.213299 + 1.15703i
\(554\) −16.1524 22.2318i −0.686249 0.944541i
\(555\) −13.8411 33.0440i −0.587521 1.40264i
\(556\) 0.716684 + 0.232865i 0.0303942 + 0.00987567i
\(557\) 37.6988 + 5.97090i 1.59735 + 0.252995i 0.890708 0.454577i \(-0.150209\pi\)
0.706641 + 0.707572i \(0.250209\pi\)
\(558\) −0.112995 0.713419i −0.00478344 0.0302015i
\(559\) −4.26434 13.1243i −0.180362 0.555098i
\(560\) −5.90888 0.291841i −0.249696 0.0123325i
\(561\) 7.90725 9.74399i 0.333844 0.411391i
\(562\) −19.0783 19.0783i −0.804768 0.804768i
\(563\) −6.45077 + 12.6603i −0.271867 + 0.533570i −0.986062 0.166377i \(-0.946793\pi\)
0.714195 + 0.699947i \(0.246793\pi\)
\(564\) 2.24086 3.08427i 0.0943571 0.129871i
\(565\) −9.39141 + 5.80642i −0.395099 + 0.244278i
\(566\) 13.1894 + 4.28550i 0.554392 + 0.180133i
\(567\) 11.6831 + 21.5667i 0.490642 + 0.905714i
\(568\) 0.985445 6.22186i 0.0413484 0.261063i
\(569\) −22.7136 + 31.2626i −0.952203 + 1.31059i −0.00166107 + 0.999999i \(0.500529\pi\)
−0.950542 + 0.310596i \(0.899471\pi\)
\(570\) −28.2422 17.1532i −1.18294 0.718467i
\(571\) −22.4947 −0.941372 −0.470686 0.882301i \(-0.655994\pi\)
−0.470686 + 0.882301i \(0.655994\pi\)
\(572\) −15.0977 + 6.70319i −0.631266 + 0.280275i
\(573\) −8.57798 8.57798i −0.358350 0.358350i
\(574\) −26.9763 + 9.52381i −1.12597 + 0.397516i
\(575\) 0.0393377 + 4.95965i 0.00164050 + 0.206832i
\(576\) −0.0753243 + 0.0547263i −0.00313851 + 0.00228026i
\(577\) 20.6462 + 40.5204i 0.859512 + 1.68689i 0.716975 + 0.697099i \(0.245526\pi\)
0.142537 + 0.989789i \(0.454474\pi\)
\(578\) 5.61669 + 11.0234i 0.233623 + 0.458512i
\(579\) −12.9393 + 9.40095i −0.537739 + 0.390690i
\(580\) −0.979192 11.8413i −0.0406587 0.491682i
\(581\) −10.0949 28.5940i −0.418808 1.18628i
\(582\) 1.34821 + 1.34821i 0.0558850 + 0.0558850i
\(583\) 22.5438 + 4.81624i 0.933668 + 0.199468i
\(584\) 0.0335280 0.00138740
\(585\) −0.246061 1.00730i −0.0101734 0.0416469i
\(586\) −12.6631 + 17.4292i −0.523107 + 0.719995i
\(587\) −0.553834 + 3.49677i −0.0228592 + 0.144327i −0.996478 0.0838528i \(-0.973277\pi\)
0.973619 + 0.228180i \(0.0732774\pi\)
\(588\) −10.6734 + 6.13513i −0.440165 + 0.253009i
\(589\) −61.9945 20.1432i −2.55444 0.829988i
\(590\) 2.55499 + 4.13248i 0.105187 + 0.170132i
\(591\) −1.67335 + 2.30317i −0.0688324 + 0.0947397i
\(592\) −4.13580 + 8.11697i −0.169980 + 0.333605i
\(593\) 14.6044 + 14.6044i 0.599733 + 0.599733i 0.940241 0.340509i \(-0.110599\pi\)
−0.340509 + 0.940241i \(0.610599\pi\)
\(594\) −16.3828 + 4.37156i −0.672193 + 0.179367i
\(595\) 9.43261 8.54471i 0.386699 0.350299i
\(596\) −6.38250 19.6433i −0.261437 0.804621i
\(597\) −2.68515 16.9534i −0.109896 0.693856i
\(598\) −4.87976 0.772878i −0.199548 0.0316053i
\(599\) −1.16297 0.377872i −0.0475177 0.0154394i 0.285162 0.958479i \(-0.407953\pi\)
−0.332679 + 0.943040i \(0.607953\pi\)
\(600\) 7.86658 + 3.92995i 0.321152 + 0.160439i
\(601\) −14.0525 19.3416i −0.573214 0.788962i 0.419717 0.907655i \(-0.362129\pi\)
−0.992931 + 0.118693i \(0.962129\pi\)
\(602\) 7.20903 1.32899i 0.293818 0.0541655i
\(603\) −0.0655311 0.0333898i −0.00266863 0.00135974i
\(604\) 4.04028i 0.164397i
\(605\) −14.9366 + 19.5422i −0.607258 + 0.794505i
\(606\) −18.4411 −0.749118
\(607\) −14.2305 7.25080i −0.577598 0.294301i 0.140682 0.990055i \(-0.455070\pi\)
−0.718280 + 0.695754i \(0.755070\pi\)
\(608\) 1.31441 + 8.29888i 0.0533065 + 0.336564i
\(609\) −15.0330 19.6302i −0.609166 0.795455i
\(610\) −6.79744 + 16.5963i −0.275220 + 0.671966i
\(611\) 3.33629 10.2681i 0.134972 0.415401i
\(612\) 0.0313339 0.197835i 0.00126660 0.00799699i
\(613\) −2.12956 + 0.337289i −0.0860122 + 0.0136230i −0.199292 0.979940i \(-0.563864\pi\)
0.113280 + 0.993563i \(0.463864\pi\)
\(614\) −5.89205 18.1339i −0.237784 0.731823i
\(615\) 42.4047 + 3.16817i 1.70992 + 0.127753i
\(616\) −2.47546 8.41856i −0.0997392 0.339193i
\(617\) −16.5962 16.5962i −0.668139 0.668139i 0.289146 0.957285i \(-0.406629\pi\)
−0.957285 + 0.289146i \(0.906629\pi\)
\(618\) −6.92931 3.53066i −0.278738 0.142024i
\(619\) 17.0755 + 12.4061i 0.686322 + 0.498642i 0.875449 0.483311i \(-0.160566\pi\)
−0.189127 + 0.981953i \(0.560566\pi\)
\(620\) 16.8839 + 3.98273i 0.678076 + 0.159950i
\(621\) −4.82311 1.56712i −0.193545 0.0628865i
\(622\) 8.33324 + 16.3549i 0.334132 + 0.655772i
\(623\) −1.81159 + 13.6594i −0.0725797 + 0.547254i
\(624\) −5.14873 + 7.08662i −0.206114 + 0.283692i
\(625\) −0.396552 24.9969i −0.0158621 0.999874i
\(626\) 15.2161i 0.608158i
\(627\) 10.2396 47.9294i 0.408931 1.91411i
\(628\) −16.5887 16.5887i −0.661960 0.661960i
\(629\) −6.05620 18.6391i −0.241477 0.743188i
\(630\) 0.547629 0.0592251i 0.0218181 0.00235958i
\(631\) 15.7950 11.4757i 0.628788 0.456841i −0.227192 0.973850i \(-0.572954\pi\)
0.855980 + 0.517009i \(0.172954\pi\)
\(632\) −9.31745 + 4.74748i −0.370628 + 0.188845i
\(633\) 3.43110 1.74823i 0.136374 0.0694860i
\(634\) −6.03981 8.31309i −0.239872 0.330155i
\(635\) 24.9469 29.4447i 0.989986 1.16848i
\(636\) 11.6259 3.77748i 0.460996 0.149787i
\(637\) −23.3783 + 25.8646i −0.926283 + 1.02479i
\(638\) 16.1072 7.15139i 0.637689 0.283126i
\(639\) 0.586513i 0.0232021i
\(640\) −0.530618 2.17220i −0.0209745 0.0858637i
\(641\) −35.5465 25.8260i −1.40400 1.02007i −0.994161 0.107911i \(-0.965584\pi\)
−0.409842 0.912157i \(-0.634416\pi\)
\(642\) −2.07265 + 13.0862i −0.0818012 + 0.516472i
\(643\) 6.49053 3.30709i 0.255962 0.130419i −0.321302 0.946977i \(-0.604120\pi\)
0.577264 + 0.816558i \(0.304120\pi\)
\(644\) 0.747798 2.51569i 0.0294674 0.0991321i
\(645\) −10.6050 2.50159i −0.417570 0.0984999i
\(646\) −14.6239 10.6249i −0.575368 0.418030i
\(647\) −22.1855 11.3041i −0.872200 0.444408i −0.0402052 0.999191i \(-0.512801\pi\)
−0.831995 + 0.554783i \(0.812801\pi\)
\(648\) −6.55534 + 6.55534i −0.257518 + 0.257518i
\(649\) −4.54092 + 5.59571i −0.178247 + 0.219651i
\(650\) 24.6267 + 3.70050i 0.965937 + 0.145146i
\(651\) 34.0398 12.0175i 1.33413 0.471004i
\(652\) 2.07227 + 13.0838i 0.0811564 + 0.512401i
\(653\) −1.52951 + 9.65694i −0.0598543 + 0.377905i 0.939519 + 0.342498i \(0.111273\pi\)
−0.999373 + 0.0354074i \(0.988727\pi\)
\(654\) −8.40852 + 25.8788i −0.328799 + 1.01194i
\(655\) 7.98088 + 19.0535i 0.311839 + 0.744481i
\(656\) −6.35564 8.74779i −0.248146 0.341544i
\(657\) −0.00308323 0.000488335i −0.000120288 1.90518e-5i
\(658\) 5.17413 + 2.47401i 0.201708 + 0.0964468i
\(659\) 31.0207i 1.20839i 0.796835 + 0.604197i \(0.206506\pi\)
−0.796835 + 0.604197i \(0.793494\pi\)
\(660\) −1.66456 + 12.9364i −0.0647931 + 0.503548i
\(661\) 3.90757i 0.151987i 0.997108 + 0.0759935i \(0.0242128\pi\)
−0.997108 + 0.0759935i \(0.975787\pi\)
\(662\) 9.49239 18.6299i 0.368932 0.724070i
\(663\) −2.94794 18.6126i −0.114489 0.722852i
\(664\) 9.27236 6.73677i 0.359838 0.261437i
\(665\) 17.6743 46.4606i 0.685380 1.80166i
\(666\) 0.262103 0.806671i 0.0101563 0.0312579i
\(667\) 5.20604 + 0.824555i 0.201579 + 0.0319269i
\(668\) 0.639047 + 4.03479i 0.0247255 + 0.156111i
\(669\) −11.0115 + 3.57786i −0.425730 + 0.138328i
\(670\) 1.33858 1.15246i 0.0517137 0.0445235i
\(671\) −26.5631 1.41971i −1.02546 0.0548072i
\(672\) −3.37221 3.20624i −0.130086 0.123683i
\(673\) −3.96585 2.02070i −0.152872 0.0778922i 0.375881 0.926668i \(-0.377340\pi\)
−0.528753 + 0.848776i \(0.677340\pi\)
\(674\) −10.2265 + 14.0756i −0.393911 + 0.542172i
\(675\) 24.3729 + 7.70606i 0.938113 + 0.296606i
\(676\) −3.64845 + 11.2288i −0.140325 + 0.431876i
\(677\) 20.7876 + 40.7979i 0.798931 + 1.56799i 0.822838 + 0.568277i \(0.192390\pi\)
−0.0239063 + 0.999714i \(0.507610\pi\)
\(678\) −8.57743 1.35853i −0.329414 0.0521741i
\(679\) −1.62688 + 2.36228i −0.0624338 + 0.0906560i
\(680\) 4.11156 + 2.49719i 0.157671 + 0.0957630i
\(681\) 43.4090 1.66344
\(682\) 2.66303 + 25.5921i 0.101973 + 0.979971i
\(683\) 3.45143 3.45143i 0.132065 0.132065i −0.637984 0.770050i \(-0.720231\pi\)
0.770050 + 0.637984i \(0.220231\pi\)
\(684\) −0.241746 0.744018i −0.00924339 0.0284482i
\(685\) −9.01054 + 10.6351i −0.344275 + 0.406346i
\(686\) −11.9875 14.1174i −0.457685 0.539003i
\(687\) 13.0724 6.66073i 0.498744 0.254123i
\(688\) 1.25786 + 2.46869i 0.0479554 + 0.0941178i
\(689\) 28.0068 20.3481i 1.06697 0.775202i
\(690\) −2.52172 + 2.97637i −0.0960002 + 0.113309i
\(691\) 2.70080 0.877542i 0.102743 0.0333833i −0.257194 0.966360i \(-0.582798\pi\)
0.359937 + 0.932976i \(0.382798\pi\)
\(692\) 13.6016 13.6016i 0.517057 0.517057i
\(693\) 0.350259 + 0.738113i 0.0133052 + 0.0280386i
\(694\) 9.76348i 0.370617i
\(695\) 0.874719 1.44020i 0.0331800 0.0546299i
\(696\) 5.49299 7.56045i 0.208211 0.286578i
\(697\) 22.9755 + 3.63897i 0.870260 + 0.137836i
\(698\) −21.5216 + 10.9658i −0.814605 + 0.415062i
\(699\) 8.93387 27.4956i 0.337910 1.03998i
\(700\) −3.66860 + 12.7099i −0.138660 + 0.480389i
\(701\) −9.04898 6.57447i −0.341775 0.248314i 0.403635 0.914920i \(-0.367747\pi\)
−0.745411 + 0.666606i \(0.767747\pi\)
\(702\) −11.5600 + 22.6878i −0.436304 + 0.856294i
\(703\) −54.1249 54.1249i −2.04136 2.04136i
\(704\) 2.78343 1.80348i 0.104904 0.0679712i
\(705\) −5.56203 6.46025i −0.209478 0.243307i
\(706\) 1.03487 0.336250i 0.0389479 0.0126550i
\(707\) −5.02950 27.2823i −0.189154 1.02606i
\(708\) −0.597792 + 3.77431i −0.0224664 + 0.141847i
\(709\) 11.4567 + 3.72250i 0.430265 + 0.139802i 0.516140 0.856504i \(-0.327368\pi\)
−0.0858747 + 0.996306i \(0.527368\pi\)
\(710\) −13.0350 5.33880i −0.489194 0.200361i
\(711\) 0.787683 0.572285i 0.0295404 0.0214624i
\(712\) −5.14387 + 0.814710i −0.192775 + 0.0305325i
\(713\) −3.49373 + 6.85682i −0.130841 + 0.256790i
\(714\) 10.0072 0.252475i 0.374511 0.00944864i
\(715\) 6.83767 + 36.2989i 0.255714 + 1.35750i
\(716\) −0.488271 −0.0182476
\(717\) −41.0818 20.9322i −1.53423 0.781728i
\(718\) −12.3963 + 1.96339i −0.462627 + 0.0732729i
\(719\) 26.8779 19.5280i 1.00238 0.728270i 0.0397809 0.999208i \(-0.487334\pi\)
0.962597 + 0.270938i \(0.0873340\pi\)
\(720\) 0.0804335 + 0.192026i 0.00299758 + 0.00715639i
\(721\) 3.33351 11.2144i 0.124146 0.417644i
\(722\) −50.9638 8.07187i −1.89668 0.300404i
\(723\) −25.9722 + 4.11359i −0.965916 + 0.152986i
\(724\) −4.72663 14.5471i −0.175664 0.540637i
\(725\) −26.2733 3.94793i −0.975765 0.146622i
\(726\) −18.9315 + 3.98304i −0.702613 + 0.147824i
\(727\) 28.9384 28.9384i 1.07327 1.07327i 0.0761715 0.997095i \(-0.475730\pi\)
0.997095 0.0761715i \(-0.0242696\pi\)
\(728\) −11.8884 5.68443i −0.440613 0.210679i
\(729\) −15.3476 + 21.1241i −0.568428 + 0.782375i
\(730\) 0.0172124 0.0729684i 0.000637059 0.00270068i
\(731\) −5.66887 1.84193i −0.209671 0.0681261i
\(732\) −12.5684 + 6.40393i −0.464542 + 0.236696i
\(733\) −11.0648 1.75249i −0.408687 0.0647297i −0.0512938 0.998684i \(-0.516335\pi\)
−0.357394 + 0.933954i \(0.616335\pi\)
\(734\) 7.55630 + 5.48998i 0.278908 + 0.202639i
\(735\) 7.87267 + 26.3786i 0.290388 + 0.972990i
\(736\) 0.991961 0.0365642
\(737\) 2.26755 + 1.31230i 0.0835261 + 0.0483393i
\(738\) 0.711874 + 0.711874i 0.0262044 + 0.0262044i
\(739\) 3.95484 1.28501i 0.145481 0.0472697i −0.235371 0.971906i \(-0.575631\pi\)
0.380852 + 0.924636i \(0.375631\pi\)
\(740\) 15.5421 + 13.1679i 0.571337 + 0.484063i
\(741\) −43.2613 59.5441i −1.58924 2.18741i
\(742\) 8.75928 + 16.1694i 0.321563 + 0.593598i
\(743\) −14.5718 28.5988i −0.534589 1.04919i −0.987498 0.157633i \(-0.949614\pi\)
0.452909 0.891557i \(-0.350386\pi\)
\(744\) 8.01980 + 11.0383i 0.294020 + 0.404684i
\(745\) −46.0271 + 3.80613i −1.68630 + 0.139446i
\(746\) 6.32183 + 19.4566i 0.231459 + 0.712357i
\(747\) −0.754563 + 0.754563i −0.0276080 + 0.0276080i
\(748\) −1.49070 + 6.97766i −0.0545055 + 0.255129i
\(749\) −19.9254 + 0.502705i −0.728060 + 0.0183684i
\(750\) 12.5914 15.1028i 0.459773 0.551477i
\(751\) −20.9585 15.2272i −0.764787 0.555650i 0.135588 0.990765i \(-0.456708\pi\)
−0.900375 + 0.435115i \(0.856708\pi\)
\(752\) −0.339102 + 2.14101i −0.0123658 + 0.0780745i
\(753\) −3.87853 7.61205i −0.141342 0.277398i
\(754\) 8.17823 25.1700i 0.297833 0.916637i
\(755\) 8.79302 + 2.07417i 0.320011 + 0.0754869i
\(756\) −11.1400 7.67197i −0.405156 0.279027i
\(757\) 17.6572 34.6541i 0.641760 1.25953i −0.309430 0.950922i \(-0.600138\pi\)
0.951191 0.308604i \(-0.0998617\pi\)
\(758\) −13.4809 + 13.4809i −0.489650 + 0.489650i
\(759\) −5.39967 2.07916i −0.195996 0.0754687i
\(760\) 18.7360 + 1.39981i 0.679624 + 0.0507766i
\(761\) 21.9664 7.13731i 0.796280 0.258727i 0.117504 0.993072i \(-0.462511\pi\)
0.678776 + 0.734345i \(0.262511\pi\)
\(762\) 29.9798 4.74833i 1.08605 0.172014i
\(763\) −40.5791 5.38181i −1.46906 0.194835i
\(764\) 6.56008 + 2.13150i 0.237335 + 0.0771149i
\(765\) −0.414469 0.169756i −0.0149852 0.00613755i
\(766\) −19.6153 26.9982i −0.708730 0.975484i
\(767\) 1.69292 + 10.6887i 0.0611279 + 0.385946i
\(768\) 0.798443 1.56703i 0.0288113 0.0565455i
\(769\) 39.6339 1.42923 0.714617 0.699516i \(-0.246601\pi\)
0.714617 + 0.699516i \(0.246601\pi\)
\(770\) −19.5925 + 1.06558i −0.706063 + 0.0384008i
\(771\) −11.0402 −0.397602
\(772\) 4.12860 8.10282i 0.148591 0.291627i
\(773\) 4.92442 + 31.0916i 0.177119 + 1.11829i 0.902739 + 0.430189i \(0.141553\pi\)
−0.725620 + 0.688096i \(0.758447\pi\)
\(774\) −0.151629 0.208699i −0.00545018 0.00750153i
\(775\) 17.3355 34.7006i 0.622710 1.24648i
\(776\) −1.03105 0.335009i −0.0370126 0.0120261i
\(777\) 42.0216 + 5.57313i 1.50752 + 0.199935i
\(778\) 16.7053 2.64586i 0.598913 0.0948585i
\(779\) 86.4065 28.0752i 3.09583 1.00590i
\(780\) 12.7797 + 14.8435i 0.457585 + 0.531481i
\(781\) 1.11506 20.8630i 0.0398999 0.746537i
\(782\) −1.50898 + 1.50898i −0.0539612 + 0.0539612i
\(783\) 12.3329 24.2047i 0.440743 0.865006i
\(784\) 3.82369 5.86339i 0.136560 0.209407i
\(785\) −44.6187 + 27.5864i −1.59251 + 0.984600i
\(786\) −5.02078 + 15.4524i −0.179085 + 0.551168i
\(787\) 22.2322 + 43.6331i 0.792492 + 1.55535i 0.831116 + 0.556099i \(0.187703\pi\)
−0.0386237 + 0.999254i \(0.512297\pi\)
\(788\) 0.253223 1.59879i 0.00902069 0.0569544i
\(789\) 13.0404 + 9.47438i 0.464249 + 0.337297i
\(790\) 5.54879 + 22.7152i 0.197417 + 0.808169i
\(791\) −0.329500 13.0602i −0.0117157 0.464368i
\(792\) −0.229695 + 0.206388i −0.00816186 + 0.00733368i
\(793\) −28.2469 + 28.2469i −1.00308 + 1.00308i
\(794\) 7.02375 + 21.6169i 0.249264 + 0.767155i
\(795\) −2.25265 27.2411i −0.0798934 0.966142i
\(796\) 5.73664 + 7.89581i 0.203330 + 0.279860i
\(797\) 15.2841 + 29.9968i 0.541392 + 1.06254i 0.985989 + 0.166811i \(0.0533469\pi\)
−0.444597 + 0.895731i \(0.646653\pi\)
\(798\) 34.3771 18.6227i 1.21694 0.659237i
\(799\) −2.74108 3.77277i −0.0969725 0.133471i
\(800\) −4.99984 + 0.0396565i −0.176771 + 0.00140207i
\(801\) 0.461163 0.149841i 0.0162944 0.00529437i
\(802\) −8.93049 8.93049i −0.315347 0.315347i
\(803\) 0.110603 0.0115090i 0.00390309 0.000406144i
\(804\) 1.38927 0.0489958
\(805\) −5.09110 2.91895i −0.179438 0.102879i
\(806\) 31.2600 + 22.7117i 1.10109 + 0.799987i
\(807\) −8.73729 1.38385i −0.307567 0.0487138i
\(808\) 9.34265 4.76032i 0.328673 0.167467i
\(809\) 11.2018 + 3.63968i 0.393834 + 0.127964i 0.499238 0.866465i \(-0.333613\pi\)
−0.105404 + 0.994430i \(0.533613\pi\)
\(810\) 10.9013 + 17.6320i 0.383033 + 0.619524i
\(811\) −24.7712 + 34.0946i −0.869833 + 1.19722i 0.109301 + 0.994009i \(0.465139\pi\)
−0.979134 + 0.203214i \(0.934861\pi\)
\(812\) 12.6833 + 6.06451i 0.445096 + 0.212822i
\(813\) −14.1584 + 14.1584i −0.496558 + 0.496558i
\(814\) −10.8570 + 28.1960i −0.380536 + 0.988270i
\(815\) 29.5386 + 2.20691i 1.03469 + 0.0773047i
\(816\) 1.16919 + 3.59839i 0.0409298 + 0.125969i
\(817\) −22.9935 + 3.64181i −0.804440 + 0.127411i
\(818\) −14.0229 2.22101i −0.490300 0.0776559i
\(819\) 1.17605 + 0.349584i 0.0410944 + 0.0122155i
\(820\) −22.3010 + 9.34114i −0.778783 + 0.326207i
\(821\) −9.58045 + 6.96061i −0.334360 + 0.242927i −0.742278 0.670092i \(-0.766255\pi\)
0.407918 + 0.913018i \(0.366255\pi\)
\(822\) −10.8284 + 1.71505i −0.377683 + 0.0598191i
\(823\) −21.4742 10.9416i −0.748542 0.381401i 0.0377247 0.999288i \(-0.487989\pi\)
−0.786267 + 0.617887i \(0.787989\pi\)
\(824\) 4.42193 0.154045
\(825\) 27.2994 + 10.2638i 0.950443 + 0.357341i
\(826\) −5.74687 + 0.144989i −0.199959 + 0.00504483i
\(827\) 6.08771 11.9478i 0.211690 0.415466i −0.760607 0.649212i \(-0.775099\pi\)
0.972298 + 0.233747i \(0.0750986\pi\)
\(828\) −0.0912204 + 0.0144479i −0.00317013 + 0.000502099i
\(829\) 13.0978 9.51614i 0.454907 0.330509i −0.336623 0.941639i \(-0.609285\pi\)
0.791530 + 0.611130i \(0.209285\pi\)
\(830\) −9.90130 23.6383i −0.343679 0.820497i
\(831\) −45.9644 14.9347i −1.59449 0.518080i
\(832\) 0.779142 4.91931i 0.0270119 0.170546i
\(833\) 3.10282 + 14.7361i 0.107506 + 0.510576i
\(834\) 1.26045 0.409545i 0.0436458 0.0141814i
\(835\) 9.10913 + 0.680568i 0.315234 + 0.0235520i
\(836\) 7.18472 + 26.9253i 0.248489 + 0.931230i
\(837\) 28.0452 + 28.0452i 0.969385 + 0.969385i
\(838\) 9.15575 17.9692i 0.316280 0.620734i
\(839\) −16.7767 12.1890i −0.579198 0.420812i 0.259237 0.965814i \(-0.416529\pi\)
−0.838435 + 0.545002i \(0.816529\pi\)
\(840\) −8.70906 + 5.69307i −0.300491 + 0.196429i
\(841\) 0.236445 0.727704i 0.00815329 0.0250932i
\(842\) 21.2576 10.8313i 0.732586 0.373271i
\(843\) −46.8674 7.42307i −1.61420 0.255664i
\(844\) −1.28699 + 1.77138i −0.0442999 + 0.0609735i
\(845\) 22.5646 + 13.7048i 0.776246 + 0.471460i
\(846\) 0.201825i 0.00693890i
\(847\) −11.0559 26.9215i −0.379884 0.925034i
\(848\) −4.91481 + 4.91481i −0.168775 + 0.168775i
\(849\) 23.1965 7.53700i 0.796102 0.258669i
\(850\) 7.54550 7.66615i 0.258809 0.262947i
\(851\) −7.31080 + 5.31161i −0.250611 + 0.182080i
\(852\) −5.02973 9.87139i −0.172316 0.338188i
\(853\) −3.80139 + 1.93690i −0.130157 + 0.0663184i −0.517856 0.855468i \(-0.673270\pi\)
0.387699 + 0.921786i \(0.373270\pi\)
\(854\) −12.9020 16.8475i −0.441497 0.576511i
\(855\) −1.74334 + 0.144162i −0.0596210 + 0.00493025i
\(856\) −2.32798 7.16479i −0.0795688 0.244887i
\(857\) −13.3300 + 13.3300i −0.455344 + 0.455344i −0.897124 0.441779i \(-0.854347\pi\)
0.441779 + 0.897124i \(0.354347\pi\)
\(858\) −14.5521 + 25.1448i −0.496801 + 0.858430i
\(859\) 1.76195 0.0601170 0.0300585 0.999548i \(-0.490431\pi\)
0.0300585 + 0.999548i \(0.490431\pi\)
\(860\) 6.01845 1.47017i 0.205227 0.0501323i
\(861\) −28.5377 + 41.4376i −0.972561 + 1.41219i
\(862\) 23.1614 + 3.66841i 0.788881 + 0.124946i
\(863\) −14.0107 27.4976i −0.476930 0.936028i −0.996657 0.0816959i \(-0.973966\pi\)
0.519727 0.854332i \(-0.326034\pi\)
\(864\) 1.57982 4.86220i 0.0537467 0.165415i
\(865\) −22.6191 36.5845i −0.769071 1.24391i
\(866\) 10.2699 14.1353i 0.348985 0.480337i
\(867\) 19.3871 + 9.87820i 0.658419 + 0.335481i
\(868\) −14.1431 + 14.8753i −0.480049 + 0.504899i
\(869\) −29.1069 + 18.8594i −0.987384 + 0.639761i
\(870\) −13.6341 15.8359i −0.462241 0.536889i
\(871\) 3.74179 1.21578i 0.126786 0.0411952i
\(872\) −2.42032 15.2813i −0.0819622 0.517489i
\(873\) 0.0996946 + 0.0157901i 0.00337415 + 0.000534413i
\(874\) −2.57559 + 7.92685i −0.0871206 + 0.268130i
\(875\) 25.7777 + 14.5090i 0.871444 + 0.490495i
\(876\) 0.0477049 0.0346597i 0.00161180 0.00117104i
\(877\) 2.11289 + 13.3403i 0.0713473 + 0.450469i 0.997338 + 0.0729219i \(0.0232324\pi\)
−0.925990 + 0.377547i \(0.876768\pi\)
\(878\) 0.460993 0.904750i 0.0155578 0.0305338i
\(879\) 37.8894i 1.27798i
\(880\) −2.49605 6.98353i −0.0841418 0.235415i
\(881\) 30.5925i 1.03069i −0.856984 0.515343i \(-0.827665\pi\)
0.856984 0.515343i \(-0.172335\pi\)
\(882\) −0.266225 + 0.594888i −0.00896427 + 0.0200309i
\(883\) 10.3937 1.64620i 0.349777 0.0553992i 0.0209257 0.999781i \(-0.493339\pi\)
0.328851 + 0.944382i \(0.393339\pi\)
\(884\) 6.29807 + 8.66855i 0.211827 + 0.291555i
\(885\) 7.90729 + 3.23863i 0.265801 + 0.108865i
\(886\) 7.11197 21.8884i 0.238931 0.735355i
\(887\) −6.72495 + 42.4597i −0.225802 + 1.42566i 0.570769 + 0.821111i \(0.306645\pi\)
−0.796571 + 0.604546i \(0.793355\pi\)
\(888\) 2.50636 + 15.8245i 0.0841078 + 0.531036i
\(889\) 15.2013 + 43.0580i 0.509836 + 1.44412i
\(890\) −0.867643 + 11.6131i −0.0290835 + 0.389271i
\(891\) −19.3746 + 23.8751i −0.649074 + 0.799844i
\(892\) 4.65510 4.65510i 0.155864 0.155864i
\(893\) −16.2285 8.26883i −0.543066 0.276706i
\(894\) −29.3875 21.3513i −0.982866 0.714094i
\(895\) −0.250665 + 1.06264i −0.00837882 + 0.0355203i
\(896\) 2.53608 + 0.753859i 0.0847245 + 0.0251847i
\(897\) −7.74206 + 3.94478i −0.258500 + 0.131712i
\(898\) −5.70206 + 36.0014i −0.190280 + 1.20138i
\(899\) −33.3502 24.2303i −1.11229 0.808126i
\(900\) 0.459206 0.0764694i 0.0153069 0.00254898i
\(901\) 14.9530i 0.498155i
\(902\) −23.9689 26.6756i −0.798076 0.888202i
\(903\) 8.88343 9.34328i 0.295622 0.310925i
\(904\) 4.69620 1.52589i 0.156193 0.0507502i
\(905\) −34.0859 + 2.81867i −1.13305 + 0.0936957i
\(906\) 4.17665 + 5.74866i 0.138760 + 0.190987i
\(907\) −32.5470 + 16.5835i −1.08070 + 0.550647i −0.901330 0.433134i \(-0.857408\pi\)
−0.179375 + 0.983781i \(0.557408\pi\)
\(908\) −21.9919 + 11.2054i −0.729828 + 0.371866i
\(909\) −0.789813 + 0.573833i −0.0261964 + 0.0190328i
\(910\) −18.4744 + 22.9549i −0.612421 + 0.760948i
\(911\) 0.705649 + 2.17176i 0.0233792 + 0.0719537i 0.962065 0.272819i \(-0.0879560\pi\)
−0.938686 + 0.344773i \(0.887956\pi\)
\(912\) 10.4492 + 10.4492i 0.346007 + 0.346007i
\(913\) 28.2753 25.4062i 0.935776 0.840823i
\(914\) 15.0413i 0.497523i
\(915\) 7.48483 + 30.6407i 0.247441 + 1.01295i
\(916\) −4.90339 + 6.74893i −0.162012 + 0.222991i
\(917\) −24.2300 3.21351i −0.800146 0.106120i
\(918\) 4.99319 + 9.79969i 0.164800 + 0.323438i
\(919\) 47.6184 + 15.4721i 1.57079 + 0.510379i 0.959662 0.281157i \(-0.0907180\pi\)
0.611123 + 0.791536i \(0.290718\pi\)
\(920\) 0.509246 2.15884i 0.0167893 0.0711749i
\(921\) −27.1293 19.7106i −0.893942 0.649487i
\(922\) 14.3735 + 7.32368i 0.473367 + 0.241193i
\(923\) −22.1855 22.1855i −0.730244 0.730244i
\(924\) −12.2249 9.41922i −0.402169 0.309870i
\(925\) 36.6367 27.0647i 1.20461 0.889882i
\(926\) 10.6579 + 32.8017i 0.350241 + 1.07793i
\(927\) −0.406639 + 0.0644053i −0.0133558 + 0.00211535i
\(928\) −0.831238 + 5.24823i −0.0272867 + 0.172282i
\(929\) 11.6176 35.7552i 0.381160 1.17309i −0.558068 0.829795i \(-0.688457\pi\)
0.939228 0.343294i \(-0.111543\pi\)
\(930\) 28.1402 11.7870i 0.922755 0.386512i
\(931\) 36.9268 + 45.7795i 1.21023 + 1.50036i
\(932\) 2.57153 + 16.2360i 0.0842334 + 0.531829i
\(933\) 28.7637 + 14.6559i 0.941682 + 0.479811i
\(934\) 0.0754881 0.00247005
\(935\) 14.4205 + 6.82642i 0.471600 + 0.223248i
\(936\) 0.463726i 0.0151574i
\(937\) 28.0810 + 14.3080i 0.917368 + 0.467422i 0.847896 0.530162i \(-0.177869\pi\)
0.0694711 + 0.997584i \(0.477869\pi\)
\(938\) 0.378900 + 2.05533i 0.0123715 + 0.0671088i
\(939\) −15.7297 21.6500i −0.513319 0.706523i
\(940\) 4.48547 + 1.83714i 0.146300 + 0.0599208i
\(941\) 2.39208 + 0.777234i 0.0779796 + 0.0253371i 0.347747 0.937588i \(-0.386947\pi\)
−0.269767 + 0.962926i \(0.586947\pi\)
\(942\) −40.7515 6.45441i −1.32776 0.210296i
\(943\) −1.67791 10.5939i −0.0546401 0.344984i
\(944\) −0.671433 2.06646i −0.0218533 0.0672575i
\(945\) −22.4158 + 20.3057i −0.729185 + 0.660546i
\(946\) 4.99685 + 7.71196i 0.162462 + 0.250737i
\(947\) −15.7698 15.7698i −0.512451 0.512451i 0.402826 0.915277i \(-0.368028\pi\)
−0.915277 + 0.402826i \(0.868028\pi\)
\(948\) −8.34950 + 16.3868i −0.271179 + 0.532219i
\(949\) 0.0981547 0.135098i 0.00318624 0.00438548i
\(950\) 12.6650 40.0571i 0.410907 1.29963i
\(951\) −17.1873 5.58450i −0.557338 0.181090i
\(952\) −5.00470 + 2.71114i −0.162203 + 0.0878684i
\(953\) 2.70289 17.0654i 0.0875552 0.552801i −0.904448 0.426585i \(-0.859717\pi\)
0.992003 0.126217i \(-0.0402834\pi\)
\(954\) 0.380380 0.523549i 0.0123153 0.0169505i
\(955\) 8.00663 13.1827i 0.259088 0.426582i
\(956\) 26.2163 0.847895
\(957\) 15.5251 26.8261i 0.501856 0.867164i
\(958\) −28.7326 28.7326i −0.928308 0.928308i
\(959\) −5.49055 15.5521i −0.177299 0.502203i
\(960\) −3.00050 2.54216i −0.0968406 0.0820477i
\(961\) 23.6119 17.1551i 0.761675 0.553389i
\(962\) 20.5989 + 40.4276i 0.664135 + 1.30344i
\(963\) 0.318435 + 0.624965i 0.0102614 + 0.0201392i
\(964\) 12.0962 8.78840i 0.389592 0.283055i
\(965\) −15.5150 13.1450i −0.499445 0.423152i
\(966\) −1.53660 4.35246i −0.0494394 0.140038i
\(967\) 29.8324 + 29.8324i 0.959347 + 0.959347i 0.999205 0.0398588i \(-0.0126908\pi\)
−0.0398588 + 0.999205i \(0.512691\pi\)
\(968\) 8.56293 6.90480i 0.275223 0.221929i
\(969\) −31.7908 −1.02127
\(970\) −1.25841 + 2.07193i −0.0404050 + 0.0665257i
\(971\) −15.2858 + 21.0391i −0.490544 + 0.675176i −0.980488 0.196578i \(-0.937017\pi\)
0.489944 + 0.871754i \(0.337017\pi\)
\(972\) −0.151310 + 0.955331i −0.00485326 + 0.0306423i
\(973\) 0.949659 + 1.75305i 0.0304447 + 0.0562002i
\(974\) −18.3167 5.95146i −0.586905 0.190697i
\(975\) 38.8651 20.1926i 1.24468 0.646682i
\(976\) 4.71434 6.48873i 0.150902 0.207699i
\(977\) −26.1216 + 51.2664i −0.835703 + 1.64016i −0.0694803 + 0.997583i \(0.522134\pi\)
−0.766222 + 0.642576i \(0.777866\pi\)
\(978\) 16.4739 + 16.4739i 0.526777 + 0.526777i
\(979\) −16.6890 + 4.45329i −0.533383 + 0.142328i
\(980\) −10.7977 11.3318i −0.344921 0.361980i
\(981\) 0.445143 + 1.37001i 0.0142123 + 0.0437410i
\(982\) 2.84386 + 17.9554i 0.0907512 + 0.572980i
\(983\) 49.4176 + 7.82698i 1.57618 + 0.249642i 0.882383 0.470532i \(-0.155938\pi\)
0.693794 + 0.720173i \(0.255938\pi\)
\(984\) −18.0861 5.87652i −0.576563 0.187337i
\(985\) −3.34950 1.37187i −0.106724 0.0437115i
\(986\) −6.71918 9.24816i −0.213982 0.294521i
\(987\) 9.91944 1.82865i 0.315739 0.0582067i
\(988\) 37.2876 + 18.9990i 1.18628 + 0.604438i
\(989\) 2.74840i 0.0873940i
\(990\) 0.331251 + 0.605849i 0.0105278 + 0.0192551i
\(991\) 54.6315 1.73543 0.867713 0.497065i \(-0.165589\pi\)
0.867713 + 0.497065i \(0.165589\pi\)
\(992\) −6.91239 3.52204i −0.219469 0.111825i
\(993\) −5.75253 36.3200i −0.182551 1.15258i
\(994\) 13.2323 10.1334i 0.419702 0.321412i
\(995\) 20.1290 8.43138i 0.638132 0.267293i
\(996\) 6.22892 19.1706i 0.197371 0.607445i
\(997\) −4.76382 + 30.0776i −0.150872 + 0.952567i 0.789828 + 0.613328i \(0.210170\pi\)
−0.940700 + 0.339239i \(0.889830\pi\)
\(998\) 21.5160 3.40780i 0.681078 0.107872i
\(999\) 14.3920 + 44.2941i 0.455343 + 1.40140i
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 770.2.bi.a.27.18 yes 384
5.3 odd 4 inner 770.2.bi.a.643.31 yes 384
7.6 odd 2 inner 770.2.bi.a.27.7 384
11.9 even 5 inner 770.2.bi.a.97.42 yes 384
35.13 even 4 inner 770.2.bi.a.643.42 yes 384
55.53 odd 20 inner 770.2.bi.a.713.7 yes 384
77.20 odd 10 inner 770.2.bi.a.97.31 yes 384
385.328 even 20 inner 770.2.bi.a.713.18 yes 384
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
770.2.bi.a.27.7 384 7.6 odd 2 inner
770.2.bi.a.27.18 yes 384 1.1 even 1 trivial
770.2.bi.a.97.31 yes 384 77.20 odd 10 inner
770.2.bi.a.97.42 yes 384 11.9 even 5 inner
770.2.bi.a.643.31 yes 384 5.3 odd 4 inner
770.2.bi.a.643.42 yes 384 35.13 even 4 inner
770.2.bi.a.713.7 yes 384 55.53 odd 20 inner
770.2.bi.a.713.18 yes 384 385.328 even 20 inner