Properties

Label 640.2.bm.a.341.58
Level $640$
Weight $2$
Character 640.341
Analytic conductor $5.110$
Analytic rank $0$
Dimension $1024$
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] = [640,2,Mod(21,640)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(640, base_ring=CyclotomicField(32))
 
chi = DirichletCharacter(H, H._module([0, 13, 0]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("640.21");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 640 = 2^{7} \cdot 5 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 640.bm (of order \(32\), degree \(16\), 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: \(5.11042572936\)
Analytic rank: \(0\)
Dimension: \(1024\)
Relative dimension: \(64\) over \(\Q(\zeta_{32})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{32}]$

Embedding invariants

Embedding label 341.58
Character \(\chi\) \(=\) 640.341
Dual form 640.2.bm.a.381.58

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(1.33795 - 0.458140i) q^{2} +(-1.59927 + 1.94872i) q^{3} +(1.58021 - 1.22594i) q^{4} +(-0.956940 + 0.290285i) q^{5} +(-1.24696 + 3.33998i) q^{6} +(-4.16826 - 0.829118i) q^{7} +(1.55260 - 2.36420i) q^{8} +(-0.654562 - 3.29070i) q^{9} +O(q^{10})\) \(q+(1.33795 - 0.458140i) q^{2} +(-1.59927 + 1.94872i) q^{3} +(1.58021 - 1.22594i) q^{4} +(-0.956940 + 0.290285i) q^{5} +(-1.24696 + 3.33998i) q^{6} +(-4.16826 - 0.829118i) q^{7} +(1.55260 - 2.36420i) q^{8} +(-0.654562 - 3.29070i) q^{9} +(-1.14735 + 0.826799i) q^{10} +(-1.45996 - 0.143794i) q^{11} +(-0.138187 + 5.04000i) q^{12} +(1.11823 - 3.68632i) q^{13} +(-5.95677 + 0.800330i) q^{14} +(0.964725 - 2.32905i) q^{15} +(0.994157 - 3.87449i) q^{16} +(-1.82175 - 4.39809i) q^{17} +(-2.38337 - 4.10291i) q^{18} +(-3.89550 + 2.08219i) q^{19} +(-1.15630 + 1.63186i) q^{20} +(8.28190 - 6.79678i) q^{21} +(-2.01923 + 0.476478i) q^{22} +(2.65039 - 3.96659i) q^{23} +(2.12414 + 6.80657i) q^{24} +(0.831470 - 0.555570i) q^{25} +(-0.192714 - 5.44442i) q^{26} +(0.789647 + 0.422075i) q^{27} +(-7.60319 + 3.79984i) q^{28} +(0.799412 + 8.11657i) q^{29} +(0.223720 - 3.55813i) q^{30} +(0.0360954 + 0.0360954i) q^{31} +(-0.444927 - 5.63933i) q^{32} +(2.61509 - 2.61509i) q^{33} +(-4.45235 - 5.04980i) q^{34} +(4.22945 - 0.416565i) q^{35} +(-5.06854 - 4.39757i) q^{36} +(-1.14645 + 2.14485i) q^{37} +(-4.25805 + 4.57055i) q^{38} +(5.39525 + 8.07456i) q^{39} +(-0.799450 + 2.71309i) q^{40} +(-8.65970 - 5.78622i) q^{41} +(7.96688 - 12.8880i) q^{42} +(-1.39724 - 1.70254i) q^{43} +(-2.48333 + 1.56259i) q^{44} +(1.58162 + 2.95900i) q^{45} +(1.72883 - 6.52135i) q^{46} +(-7.96027 + 3.29725i) q^{47} +(5.96036 + 8.13369i) q^{48} +(10.2198 + 4.23317i) q^{49} +(0.857935 - 1.12425i) q^{50} +(11.4841 + 3.48367i) q^{51} +(-2.75215 - 7.19607i) q^{52} +(0.737747 - 7.49047i) q^{53} +(1.24988 + 0.202946i) q^{54} +(1.43884 - 0.286202i) q^{55} +(-8.43182 + 8.56732i) q^{56} +(2.17237 - 10.9212i) q^{57} +(4.78810 + 10.4933i) q^{58} +(0.578284 + 1.90635i) q^{59} +(-1.33080 - 4.86309i) q^{60} +(6.98045 + 5.72871i) q^{61} +(0.0648306 + 0.0317571i) q^{62} +14.2592i q^{63} +(-3.17889 - 7.34130i) q^{64} +3.85220i q^{65} +(2.30078 - 4.69693i) q^{66} +(-6.36892 - 5.22684i) q^{67} +(-8.27053 - 4.71658i) q^{68} +(3.49107 + 11.5085i) q^{69} +(5.46795 - 2.49503i) q^{70} +(-2.04314 + 10.2716i) q^{71} +(-8.79616 - 3.56162i) q^{72} +(-11.4991 + 2.28731i) q^{73} +(-0.551244 + 3.39493i) q^{74} +(-0.247096 + 2.50881i) q^{75} +(-3.60310 + 8.06595i) q^{76} +(5.96627 + 1.80985i) q^{77} +(10.9178 + 8.33156i) q^{78} +(-1.58592 - 0.656910i) q^{79} +(0.173355 + 3.99624i) q^{80} +(7.21396 - 2.98812i) q^{81} +(-14.2371 - 3.77432i) q^{82} +(3.59592 + 6.72750i) q^{83} +(4.75475 - 20.8934i) q^{84} +(3.02000 + 3.67988i) q^{85} +(-2.64944 - 1.63778i) q^{86} +(-17.0954 - 11.4228i) q^{87} +(-2.60668 + 3.22839i) q^{88} +(-7.22382 - 10.8112i) q^{89} +(3.47176 + 3.23439i) q^{90} +(-7.71749 + 14.4384i) q^{91} +(-0.674603 - 9.51728i) q^{92} +(-0.128066 + 0.0126134i) q^{93} +(-9.13983 + 8.05847i) q^{94} +(3.12334 - 3.12334i) q^{95} +(11.7010 + 8.15178i) q^{96} +(4.90543 + 4.90543i) q^{97} +(15.6129 + 0.981674i) q^{98} +(0.482452 + 4.89842i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1024 q+O(q^{10}) \) Copy content Toggle raw display \( 1024 q - 192 q^{52} - 128 q^{54} - 32 q^{56} - 288 q^{58} - 192 q^{62} - 192 q^{64} - 192 q^{66} - 192 q^{68} - 288 q^{72} - 32 q^{74} - 128 q^{76} - 192 q^{78}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/640\mathbb{Z}\right)^\times\).

\(n\) \(257\) \(261\) \(511\)
\(\chi(n)\) \(1\) \(e\left(\frac{29}{32}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.33795 0.458140i 0.946073 0.323954i
\(3\) −1.59927 + 1.94872i −0.923340 + 1.12509i 0.0685060 + 0.997651i \(0.478177\pi\)
−0.991846 + 0.127442i \(0.959323\pi\)
\(4\) 1.58021 1.22594i 0.790107 0.612968i
\(5\) −0.956940 + 0.290285i −0.427957 + 0.129819i
\(6\) −1.24696 + 3.33998i −0.509068 + 1.36354i
\(7\) −4.16826 0.829118i −1.57545 0.313377i −0.671499 0.741006i \(-0.734349\pi\)
−0.903955 + 0.427628i \(0.859349\pi\)
\(8\) 1.55260 2.36420i 0.548925 0.835871i
\(9\) −0.654562 3.29070i −0.218187 1.09690i
\(10\) −1.14735 + 0.826799i −0.362823 + 0.261457i
\(11\) −1.45996 0.143794i −0.440195 0.0433554i −0.124507 0.992219i \(-0.539735\pi\)
−0.315687 + 0.948863i \(0.602235\pi\)
\(12\) −0.138187 + 5.04000i −0.0398912 + 1.45492i
\(13\) 1.11823 3.68632i 0.310142 1.02240i −0.653884 0.756595i \(-0.726862\pi\)
0.964026 0.265807i \(-0.0856385\pi\)
\(14\) −5.95677 + 0.800330i −1.59201 + 0.213897i
\(15\) 0.964725 2.32905i 0.249091 0.601358i
\(16\) 0.994157 3.87449i 0.248539 0.968622i
\(17\) −1.82175 4.39809i −0.441839 1.06669i −0.975303 0.220871i \(-0.929110\pi\)
0.533464 0.845823i \(-0.320890\pi\)
\(18\) −2.38337 4.10291i −0.561767 0.967066i
\(19\) −3.89550 + 2.08219i −0.893690 + 0.477687i −0.853254 0.521495i \(-0.825375\pi\)
−0.0404357 + 0.999182i \(0.512875\pi\)
\(20\) −1.15630 + 1.63186i −0.258557 + 0.364895i
\(21\) 8.28190 6.79678i 1.80726 1.48318i
\(22\) −2.01923 + 0.476478i −0.430501 + 0.101586i
\(23\) 2.65039 3.96659i 0.552645 0.827091i −0.445011 0.895525i \(-0.646800\pi\)
0.997656 + 0.0684339i \(0.0218002\pi\)
\(24\) 2.12414 + 6.80657i 0.433588 + 1.38939i
\(25\) 0.831470 0.555570i 0.166294 0.111114i
\(26\) −0.192714 5.44442i −0.0377943 1.06774i
\(27\) 0.789647 + 0.422075i 0.151968 + 0.0812284i
\(28\) −7.60319 + 3.79984i −1.43687 + 0.718102i
\(29\) 0.799412 + 8.11657i 0.148447 + 1.50721i 0.724203 + 0.689587i \(0.242208\pi\)
−0.575756 + 0.817622i \(0.695292\pi\)
\(30\) 0.223720 3.55813i 0.0408455 0.649623i
\(31\) 0.0360954 + 0.0360954i 0.00648293 + 0.00648293i 0.710341 0.703858i \(-0.248541\pi\)
−0.703858 + 0.710341i \(0.748541\pi\)
\(32\) −0.444927 5.63933i −0.0786528 0.996902i
\(33\) 2.61509 2.61509i 0.455228 0.455228i
\(34\) −4.45235 5.04980i −0.763571 0.866034i
\(35\) 4.22945 0.416565i 0.714908 0.0704123i
\(36\) −5.06854 4.39757i −0.844757 0.732928i
\(37\) −1.14645 + 2.14485i −0.188474 + 0.352611i −0.958356 0.285576i \(-0.907815\pi\)
0.769882 + 0.638187i \(0.220315\pi\)
\(38\) −4.25805 + 4.57055i −0.690747 + 0.741442i
\(39\) 5.39525 + 8.07456i 0.863931 + 1.29296i
\(40\) −0.799450 + 2.71309i −0.126404 + 0.428978i
\(41\) −8.65970 5.78622i −1.35242 0.903656i −0.352929 0.935650i \(-0.614814\pi\)
−0.999488 + 0.0319936i \(0.989814\pi\)
\(42\) 7.96688 12.8880i 1.22932 1.98866i
\(43\) −1.39724 1.70254i −0.213077 0.259635i 0.655493 0.755201i \(-0.272461\pi\)
−0.868570 + 0.495566i \(0.834961\pi\)
\(44\) −2.48333 + 1.56259i −0.374376 + 0.235570i
\(45\) 1.58162 + 2.95900i 0.235774 + 0.441101i
\(46\) 1.72883 6.52135i 0.254902 0.961520i
\(47\) −7.96027 + 3.29725i −1.16112 + 0.480954i −0.878249 0.478203i \(-0.841288\pi\)
−0.282875 + 0.959157i \(0.591288\pi\)
\(48\) 5.96036 + 8.13369i 0.860303 + 1.17400i
\(49\) 10.2198 + 4.23317i 1.45997 + 0.604739i
\(50\) 0.857935 1.12425i 0.121330 0.158994i
\(51\) 11.4841 + 3.48367i 1.60810 + 0.487811i
\(52\) −2.75215 7.19607i −0.381655 0.997915i
\(53\) 0.737747 7.49047i 0.101337 1.02890i −0.801233 0.598353i \(-0.795822\pi\)
0.902570 0.430543i \(-0.141678\pi\)
\(54\) 1.24988 + 0.202946i 0.170087 + 0.0276174i
\(55\) 1.43884 0.286202i 0.194013 0.0385915i
\(56\) −8.43182 + 8.56732i −1.12675 + 1.14486i
\(57\) 2.17237 10.9212i 0.287737 1.44655i
\(58\) 4.78810 + 10.4933i 0.628708 + 1.37784i
\(59\) 0.578284 + 1.90635i 0.0752862 + 0.248185i 0.986503 0.163741i \(-0.0523561\pi\)
−0.911217 + 0.411926i \(0.864856\pi\)
\(60\) −1.33080 4.86309i −0.171805 0.627823i
\(61\) 6.98045 + 5.72871i 0.893755 + 0.733486i 0.964521 0.264007i \(-0.0850443\pi\)
−0.0707657 + 0.997493i \(0.522544\pi\)
\(62\) 0.0648306 + 0.0317571i 0.00823350 + 0.00403315i
\(63\) 14.2592i 1.79649i
\(64\) −3.17889 7.34130i −0.397362 0.917662i
\(65\) 3.85220i 0.477806i
\(66\) 2.30078 4.69693i 0.283206 0.578152i
\(67\) −6.36892 5.22684i −0.778087 0.638560i 0.159149 0.987255i \(-0.449125\pi\)
−0.937236 + 0.348695i \(0.886625\pi\)
\(68\) −8.27053 4.71658i −1.00295 0.571969i
\(69\) 3.49107 + 11.5085i 0.420276 + 1.38546i
\(70\) 5.46795 2.49503i 0.653545 0.298213i
\(71\) −2.04314 + 10.2716i −0.242476 + 1.21901i 0.647164 + 0.762350i \(0.275955\pi\)
−0.889641 + 0.456661i \(0.849045\pi\)
\(72\) −8.79616 3.56162i −1.03664 0.419741i
\(73\) −11.4991 + 2.28731i −1.34587 + 0.267710i −0.814860 0.579657i \(-0.803186\pi\)
−0.531008 + 0.847367i \(0.678186\pi\)
\(74\) −0.551244 + 3.39493i −0.0640808 + 0.394653i
\(75\) −0.247096 + 2.50881i −0.0285322 + 0.289692i
\(76\) −3.60310 + 8.06595i −0.413304 + 0.925228i
\(77\) 5.96627 + 1.80985i 0.679919 + 0.206251i
\(78\) 10.9178 + 8.33156i 1.23620 + 0.943364i
\(79\) −1.58592 0.656910i −0.178430 0.0739081i 0.291680 0.956516i \(-0.405786\pi\)
−0.470110 + 0.882608i \(0.655786\pi\)
\(80\) 0.173355 + 3.99624i 0.0193817 + 0.446793i
\(81\) 7.21396 2.98812i 0.801551 0.332013i
\(82\) −14.2371 3.77432i −1.57223 0.416803i
\(83\) 3.59592 + 6.72750i 0.394704 + 0.738439i 0.998265 0.0588775i \(-0.0187521\pi\)
−0.603561 + 0.797317i \(0.706252\pi\)
\(84\) 4.75475 20.8934i 0.518786 2.27966i
\(85\) 3.02000 + 3.67988i 0.327565 + 0.399139i
\(86\) −2.64944 1.63778i −0.285696 0.176606i
\(87\) −17.0954 11.4228i −1.83282 1.22465i
\(88\) −2.60668 + 3.22839i −0.277873 + 0.344147i
\(89\) −7.22382 10.8112i −0.765724 1.14599i −0.985374 0.170408i \(-0.945491\pi\)
0.219650 0.975579i \(-0.429509\pi\)
\(90\) 3.47176 + 3.23439i 0.365956 + 0.340934i
\(91\) −7.71749 + 14.4384i −0.809012 + 1.51356i
\(92\) −0.674603 9.51728i −0.0703322 0.992245i
\(93\) −0.128066 + 0.0126134i −0.0132798 + 0.00130795i
\(94\) −9.13983 + 8.05847i −0.942701 + 0.831168i
\(95\) 3.12334 3.12334i 0.320448 0.320448i
\(96\) 11.7010 + 8.15178i 1.19423 + 0.831988i
\(97\) 4.90543 + 4.90543i 0.498070 + 0.498070i 0.910837 0.412766i \(-0.135437\pi\)
−0.412766 + 0.910837i \(0.635437\pi\)
\(98\) 15.6129 + 0.981674i 1.57714 + 0.0991640i
\(99\) 0.482452 + 4.89842i 0.0484883 + 0.492310i
\(100\) 0.632806 1.89725i 0.0632806 0.189725i
\(101\) 4.99342 + 2.66904i 0.496863 + 0.265579i 0.700739 0.713418i \(-0.252854\pi\)
−0.203876 + 0.978997i \(0.565354\pi\)
\(102\) 16.9612 0.600366i 1.67940 0.0594451i
\(103\) 7.63370 5.10068i 0.752171 0.502585i −0.119405 0.992846i \(-0.538099\pi\)
0.871576 + 0.490261i \(0.163099\pi\)
\(104\) −6.97905 8.36710i −0.684352 0.820462i
\(105\) −5.95228 + 8.90822i −0.580883 + 0.869353i
\(106\) −2.44462 10.3599i −0.237443 1.00624i
\(107\) 11.8613 9.73431i 1.14667 0.941052i 0.147826 0.989013i \(-0.452773\pi\)
0.998849 + 0.0479618i \(0.0152726\pi\)
\(108\) 1.76525 0.301088i 0.169861 0.0289722i
\(109\) 13.5747 7.25580i 1.30022 0.694980i 0.331572 0.943430i \(-0.392421\pi\)
0.968645 + 0.248450i \(0.0799212\pi\)
\(110\) 1.79397 1.04211i 0.171048 0.0993616i
\(111\) −2.34623 5.66430i −0.222694 0.537631i
\(112\) −7.35631 + 15.3256i −0.695106 + 1.44813i
\(113\) −7.02015 + 16.9481i −0.660400 + 1.59435i 0.136778 + 0.990602i \(0.456325\pi\)
−0.797178 + 0.603745i \(0.793675\pi\)
\(114\) −2.09694 15.6073i −0.196396 1.46176i
\(115\) −1.38483 + 4.56516i −0.129136 + 0.425703i
\(116\) 11.2136 + 11.8459i 1.04116 + 1.09986i
\(117\) −12.8626 1.26685i −1.18914 0.117120i
\(118\) 1.64709 + 2.28566i 0.151627 + 0.210412i
\(119\) 3.94698 + 19.8428i 0.361819 + 1.81899i
\(120\) −4.00852 5.89688i −0.365926 0.538309i
\(121\) −8.67783 1.72613i −0.788894 0.156921i
\(122\) 11.9640 + 4.46669i 1.08317 + 0.404395i
\(123\) 25.1249 7.62156i 2.26544 0.687213i
\(124\) 0.101289 + 0.0127878i 0.00909604 + 0.00114838i
\(125\) −0.634393 + 0.773010i −0.0567419 + 0.0691402i
\(126\) 6.53272 + 19.0781i 0.581981 + 1.69961i
\(127\) 3.12612 0.277398 0.138699 0.990335i \(-0.455708\pi\)
0.138699 + 0.990335i \(0.455708\pi\)
\(128\) −7.61654 8.36590i −0.673214 0.739448i
\(129\) 5.55233 0.488856
\(130\) 1.76485 + 5.15404i 0.154787 + 0.452040i
\(131\) −6.35316 + 7.74135i −0.555078 + 0.676365i −0.972649 0.232280i \(-0.925382\pi\)
0.417571 + 0.908644i \(0.362882\pi\)
\(132\) 0.926467 7.33833i 0.0806386 0.638719i
\(133\) 17.9639 5.44928i 1.55766 0.472512i
\(134\) −10.9159 4.07538i −0.942992 0.352059i
\(135\) −0.878167 0.174678i −0.0755806 0.0150339i
\(136\) −13.2264 2.52147i −1.13415 0.216215i
\(137\) −2.30686 11.5974i −0.197089 0.990831i −0.945009 0.327043i \(-0.893948\pi\)
0.747921 0.663788i \(-0.231052\pi\)
\(138\) 9.94339 + 13.7984i 0.846438 + 1.17460i
\(139\) −6.01964 0.592883i −0.510580 0.0502877i −0.160553 0.987027i \(-0.551328\pi\)
−0.350027 + 0.936740i \(0.613828\pi\)
\(140\) 6.17276 5.84331i 0.521694 0.493850i
\(141\) 6.30522 20.7855i 0.530995 1.75046i
\(142\) 1.97220 + 14.6789i 0.165503 + 1.23182i
\(143\) −2.16265 + 5.22109i −0.180850 + 0.436610i
\(144\) −13.4005 0.735387i −1.11671 0.0612822i
\(145\) −3.12110 7.53501i −0.259194 0.625749i
\(146\) −14.3373 + 8.32851i −1.18656 + 0.689273i
\(147\) −24.5935 + 13.1455i −2.02844 + 1.08422i
\(148\) 0.817819 + 4.79479i 0.0672243 + 0.394129i
\(149\) 1.86463 1.53026i 0.152756 0.125364i −0.554911 0.831910i \(-0.687248\pi\)
0.707667 + 0.706546i \(0.249748\pi\)
\(150\) 0.818784 + 3.46986i 0.0668535 + 0.283313i
\(151\) 5.14133 7.69455i 0.418396 0.626173i −0.561074 0.827766i \(-0.689612\pi\)
0.979469 + 0.201592i \(0.0646116\pi\)
\(152\) −1.12543 + 12.4426i −0.0912840 + 1.00922i
\(153\) −13.2804 + 8.87365i −1.07365 + 0.717392i
\(154\) 8.81173 0.311905i 0.710069 0.0251340i
\(155\) −0.0450191 0.0240632i −0.00361602 0.00193280i
\(156\) 18.4245 + 6.14530i 1.47514 + 0.492018i
\(157\) 0.958014 + 9.72688i 0.0764579 + 0.776290i 0.954600 + 0.297890i \(0.0962829\pi\)
−0.878142 + 0.478400i \(0.841217\pi\)
\(158\) −2.42284 0.152338i −0.192751 0.0121193i
\(159\) 13.4170 + 13.4170i 1.06403 + 1.06403i
\(160\) 2.06278 + 5.26735i 0.163077 + 0.416420i
\(161\) −14.3363 + 14.3363i −1.12986 + 1.12986i
\(162\) 8.28293 7.30296i 0.650769 0.573775i
\(163\) 15.7457 1.55082i 1.23330 0.121470i 0.539718 0.841846i \(-0.318531\pi\)
0.693583 + 0.720376i \(0.256031\pi\)
\(164\) −20.7777 + 1.47276i −1.62247 + 0.115004i
\(165\) −1.74336 + 3.26160i −0.135721 + 0.253915i
\(166\) 7.89330 + 7.35361i 0.612639 + 0.570751i
\(167\) 2.21038 + 3.30807i 0.171045 + 0.255986i 0.907081 0.420955i \(-0.138305\pi\)
−0.736037 + 0.676941i \(0.763305\pi\)
\(168\) −3.21051 30.1327i −0.247696 2.32479i
\(169\) −1.52943 1.02193i −0.117649 0.0786103i
\(170\) 5.72651 + 3.53991i 0.439203 + 0.271499i
\(171\) 9.40172 + 11.4560i 0.718968 + 0.876065i
\(172\) −4.29514 0.977452i −0.327502 0.0745301i
\(173\) 7.03589 + 13.1632i 0.534929 + 1.00078i 0.993684 + 0.112219i \(0.0357958\pi\)
−0.458754 + 0.888563i \(0.651704\pi\)
\(174\) −28.1060 7.45099i −2.13071 0.564858i
\(175\) −3.92641 + 1.62637i −0.296809 + 0.122942i
\(176\) −2.00856 + 5.51364i −0.151401 + 0.415607i
\(177\) −4.63977 1.92185i −0.348746 0.144455i
\(178\) −14.6182 11.1553i −1.09568 0.836127i
\(179\) 5.18958 + 1.57424i 0.387887 + 0.117664i 0.478204 0.878249i \(-0.341288\pi\)
−0.0903167 + 0.995913i \(0.528788\pi\)
\(180\) 6.12684 + 2.73689i 0.456668 + 0.203996i
\(181\) 2.15162 21.8458i 0.159929 1.62378i −0.495557 0.868575i \(-0.665036\pi\)
0.655486 0.755208i \(-0.272464\pi\)
\(182\) −3.71079 + 22.8535i −0.275062 + 1.69402i
\(183\) −22.3273 + 4.44117i −1.65048 + 0.328301i
\(184\) −5.26283 12.4246i −0.387981 0.915951i
\(185\) 0.474463 2.38529i 0.0348832 0.175370i
\(186\) −0.165567 + 0.0755484i −0.0121400 + 0.00553948i
\(187\) 2.02726 + 6.68299i 0.148248 + 0.488709i
\(188\) −8.53671 + 14.9692i −0.622604 + 1.09174i
\(189\) −2.94150 2.41403i −0.213963 0.175595i
\(190\) 2.74794 5.60979i 0.199356 0.406977i
\(191\) 0.275560i 0.0199388i −0.999950 0.00996940i \(-0.996827\pi\)
0.999950 0.00996940i \(-0.00317341\pi\)
\(192\) 19.3900 + 5.54596i 1.39936 + 0.400245i
\(193\) 26.1989i 1.88584i −0.333022 0.942919i \(-0.608069\pi\)
0.333022 0.942919i \(-0.391931\pi\)
\(194\) 8.81058 + 4.31583i 0.632563 + 0.309859i
\(195\) −7.50685 6.16071i −0.537577 0.441178i
\(196\) 21.3391 5.83949i 1.52422 0.417106i
\(197\) −3.24243 10.6889i −0.231014 0.761550i −0.993428 0.114460i \(-0.963486\pi\)
0.762414 0.647089i \(-0.224014\pi\)
\(198\) 2.88966 + 6.33280i 0.205359 + 0.450053i
\(199\) 4.91067 24.6876i 0.348108 1.75006i −0.268964 0.963150i \(-0.586681\pi\)
0.617072 0.786906i \(-0.288319\pi\)
\(200\) −0.0225439 2.82834i −0.00159409 0.199994i
\(201\) 20.3713 4.05210i 1.43688 0.285813i
\(202\) 7.90373 + 1.28335i 0.556104 + 0.0902961i
\(203\) 3.39744 34.4947i 0.238453 2.42106i
\(204\) 22.4181 8.57385i 1.56958 0.600289i
\(205\) 9.96646 + 3.02329i 0.696088 + 0.211156i
\(206\) 7.87668 10.3218i 0.548794 0.719150i
\(207\) −14.7877 6.12527i −1.02782 0.425736i
\(208\) −13.1709 7.99737i −0.913239 0.554518i
\(209\) 5.98669 2.47977i 0.414108 0.171529i
\(210\) −3.88263 + 14.6457i −0.267927 + 1.01065i
\(211\) 1.59237 + 2.97912i 0.109623 + 0.205091i 0.930751 0.365654i \(-0.119155\pi\)
−0.821127 + 0.570745i \(0.806655\pi\)
\(212\) −8.01705 12.7410i −0.550613 0.875055i
\(213\) −16.7489 20.4085i −1.14761 1.39837i
\(214\) 11.4101 18.4582i 0.779980 1.26177i
\(215\) 1.83129 + 1.22363i 0.124893 + 0.0834510i
\(216\) 2.22387 1.21157i 0.151315 0.0824371i
\(217\) −0.120528 0.180382i −0.00818195 0.0122452i
\(218\) 14.8380 15.9270i 1.00496 1.07871i
\(219\) 13.9329 26.0665i 0.941495 1.76141i
\(220\) 1.92280 2.21618i 0.129635 0.149415i
\(221\) −18.2499 + 1.79746i −1.22762 + 0.120910i
\(222\) −5.73418 6.50364i −0.384853 0.436495i
\(223\) −5.26298 + 5.26298i −0.352435 + 0.352435i −0.861015 0.508580i \(-0.830171\pi\)
0.508580 + 0.861015i \(0.330171\pi\)
\(224\) −2.82110 + 23.8751i −0.188493 + 1.59522i
\(225\) −2.37247 2.37247i −0.158164 0.158164i
\(226\) −1.62797 + 25.8920i −0.108291 + 1.72231i
\(227\) −2.23316 22.6737i −0.148220 1.50491i −0.725422 0.688304i \(-0.758356\pi\)
0.577202 0.816601i \(-0.304144\pi\)
\(228\) −9.95593 19.9211i −0.659348 1.31931i
\(229\) −13.2955 7.10660i −0.878592 0.469617i −0.0305421 0.999533i \(-0.509723\pi\)
−0.848050 + 0.529916i \(0.822223\pi\)
\(230\) 0.238657 + 6.74239i 0.0157366 + 0.444580i
\(231\) −13.0686 + 8.73214i −0.859849 + 0.574533i
\(232\) 20.4304 + 10.7118i 1.34132 + 0.703262i
\(233\) −6.55231 + 9.80622i −0.429256 + 0.642427i −0.981546 0.191225i \(-0.938754\pi\)
0.552290 + 0.833652i \(0.313754\pi\)
\(234\) −17.7898 + 4.19787i −1.16296 + 0.274424i
\(235\) 6.66036 5.46602i 0.434474 0.356564i
\(236\) 3.25088 + 2.30350i 0.211614 + 0.149945i
\(237\) 3.81645 2.03993i 0.247905 0.132508i
\(238\) 14.3717 + 24.7404i 0.931576 + 1.60368i
\(239\) −7.17946 17.3328i −0.464401 1.12116i −0.966572 0.256395i \(-0.917465\pi\)
0.502171 0.864768i \(-0.332535\pi\)
\(240\) −8.06479 6.05326i −0.520580 0.390736i
\(241\) 3.99974 9.65623i 0.257646 0.622012i −0.741136 0.671355i \(-0.765713\pi\)
0.998782 + 0.0493427i \(0.0157126\pi\)
\(242\) −12.4013 + 1.66619i −0.797186 + 0.107107i
\(243\) −6.49382 + 21.4072i −0.416579 + 1.37328i
\(244\) 18.0536 + 0.494996i 1.15577 + 0.0316889i
\(245\) −11.0085 1.08425i −0.703310 0.0692700i
\(246\) 30.1241 21.7080i 1.92064 1.38405i
\(247\) 3.31954 + 16.6885i 0.211217 + 1.06186i
\(248\) 0.141378 0.0292953i 0.00897754 0.00186025i
\(249\) −18.8609 3.75166i −1.19526 0.237752i
\(250\) −0.494639 + 1.32489i −0.0312837 + 0.0837934i
\(251\) 6.37896 1.93504i 0.402636 0.122138i −0.0824700 0.996594i \(-0.526281\pi\)
0.485106 + 0.874455i \(0.338781\pi\)
\(252\) 17.4809 + 22.5326i 1.10119 + 1.41942i
\(253\) −4.43983 + 5.40995i −0.279130 + 0.340121i
\(254\) 4.18259 1.43220i 0.262439 0.0898643i
\(255\) −12.0009 −0.751523
\(256\) −14.0233 7.70370i −0.876456 0.481481i
\(257\) −11.3438 −0.707608 −0.353804 0.935320i \(-0.615112\pi\)
−0.353804 + 0.935320i \(0.615112\pi\)
\(258\) 7.42874 2.54375i 0.462493 0.158367i
\(259\) 6.55701 7.98974i 0.407433 0.496459i
\(260\) 4.72255 + 6.08730i 0.292880 + 0.377518i
\(261\) 26.1859 7.94342i 1.62087 0.491685i
\(262\) −4.95358 + 13.2682i −0.306033 + 0.819710i
\(263\) 12.8809 + 2.56217i 0.794271 + 0.157990i 0.575517 0.817790i \(-0.304801\pi\)
0.218754 + 0.975780i \(0.429801\pi\)
\(264\) −2.12242 10.2428i −0.130626 0.630398i
\(265\) 1.46839 + 7.38209i 0.0902025 + 0.453478i
\(266\) 21.5382 15.5208i 1.32059 0.951642i
\(267\) 32.6209 + 3.21288i 1.99636 + 0.196625i
\(268\) −16.4720 0.451632i −1.00619 0.0275878i
\(269\) −8.58782 + 28.3102i −0.523609 + 1.72611i 0.151565 + 0.988447i \(0.451569\pi\)
−0.675173 + 0.737659i \(0.735931\pi\)
\(270\) −1.25497 + 0.168613i −0.0763750 + 0.0102615i
\(271\) 5.68733 13.7304i 0.345481 0.834064i −0.651661 0.758510i \(-0.725928\pi\)
0.997142 0.0755537i \(-0.0240724\pi\)
\(272\) −18.8514 + 2.68595i −1.14304 + 0.162859i
\(273\) −15.7940 38.1301i −0.955898 2.30774i
\(274\) −8.39970 14.4598i −0.507444 0.873551i
\(275\) −1.29380 + 0.691550i −0.0780191 + 0.0417021i
\(276\) 19.6254 + 13.9061i 1.18131 + 0.837049i
\(277\) −21.8402 + 17.9238i −1.31225 + 1.07694i −0.320704 + 0.947179i \(0.603919\pi\)
−0.991546 + 0.129756i \(0.958581\pi\)
\(278\) −8.32560 + 1.96459i −0.499336 + 0.117829i
\(279\) 0.0951527 0.142406i 0.00569664 0.00852563i
\(280\) 5.58179 10.6460i 0.333576 0.636223i
\(281\) 3.04954 2.03763i 0.181920 0.121555i −0.461276 0.887257i \(-0.652608\pi\)
0.643196 + 0.765702i \(0.277608\pi\)
\(282\) −1.08663 30.6986i −0.0647076 1.82808i
\(283\) −11.8836 6.35191i −0.706406 0.377582i 0.0787375 0.996895i \(-0.474911\pi\)
−0.785144 + 0.619313i \(0.787411\pi\)
\(284\) 9.36369 + 18.7361i 0.555633 + 1.11178i
\(285\) 1.09144 + 11.0816i 0.0646513 + 0.656416i
\(286\) −0.501518 + 7.97635i −0.0296554 + 0.471651i
\(287\) 31.2984 + 31.2984i 1.84749 + 1.84749i
\(288\) −18.2661 + 5.15541i −1.07634 + 0.303786i
\(289\) −4.00360 + 4.00360i −0.235506 + 0.235506i
\(290\) −7.62797 8.65156i −0.447930 0.508037i
\(291\) −17.4044 + 1.71418i −1.02026 + 0.100487i
\(292\) −15.3669 + 17.7116i −0.899283 + 1.03649i
\(293\) −11.9443 + 22.3461i −0.697791 + 1.30548i 0.244163 + 0.969734i \(0.421487\pi\)
−0.941954 + 0.335742i \(0.891013\pi\)
\(294\) −26.8823 + 28.8553i −1.56781 + 1.68287i
\(295\) −1.10677 1.65639i −0.0644385 0.0964390i
\(296\) 3.29089 + 6.04051i 0.191279 + 0.351098i
\(297\) −1.09216 0.729759i −0.0633736 0.0423449i
\(298\) 1.79370 2.90168i 0.103907 0.168090i
\(299\) −11.6584 14.2058i −0.674221 0.821541i
\(300\) 2.68518 + 4.26738i 0.155029 + 0.246377i
\(301\) 4.41244 + 8.25510i 0.254329 + 0.475816i
\(302\) 3.35366 12.6504i 0.192981 0.727946i
\(303\) −13.1870 + 5.46225i −0.757575 + 0.313798i
\(304\) 4.19468 + 17.1631i 0.240581 + 0.984372i
\(305\) −8.34283 3.45571i −0.477709 0.197874i
\(306\) −13.7031 + 17.9568i −0.783352 + 1.02652i
\(307\) −28.9213 8.77317i −1.65062 0.500711i −0.678385 0.734706i \(-0.737320\pi\)
−0.972238 + 0.233995i \(0.924820\pi\)
\(308\) 11.6467 4.45432i 0.663635 0.253809i
\(309\) −2.26858 + 23.0333i −0.129055 + 1.31032i
\(310\) −0.0712576 0.0115703i −0.00404716 0.000657148i
\(311\) −12.6191 + 2.51009i −0.715562 + 0.142334i −0.539428 0.842032i \(-0.681359\pi\)
−0.176135 + 0.984366i \(0.556359\pi\)
\(312\) 27.4665 0.218928i 1.55499 0.0123944i
\(313\) 2.90967 14.6279i 0.164464 0.826817i −0.807168 0.590321i \(-0.799001\pi\)
0.971633 0.236496i \(-0.0759989\pi\)
\(314\) 5.73805 + 12.5752i 0.323817 + 0.709658i
\(315\) −4.13923 13.6452i −0.233219 0.768821i
\(316\) −3.31142 + 0.906180i −0.186282 + 0.0509766i
\(317\) −15.4143 12.6502i −0.865752 0.710504i 0.0927199 0.995692i \(-0.470444\pi\)
−0.958472 + 0.285188i \(0.907944\pi\)
\(318\) 24.0981 + 11.8044i 1.35135 + 0.661956i
\(319\) 11.9648i 0.669901i
\(320\) 5.17308 + 6.10240i 0.289184 + 0.341134i
\(321\) 38.6821i 2.15903i
\(322\) −12.6132 + 25.7492i −0.702905 + 1.43495i
\(323\) 16.2543 + 13.3395i 0.904413 + 0.742232i
\(324\) 7.73636 13.5657i 0.429798 0.753652i
\(325\) −1.11823 3.68632i −0.0620285 0.204480i
\(326\) 20.3565 9.28868i 1.12744 0.514452i
\(327\) −7.57004 + 38.0572i −0.418624 + 2.10457i
\(328\) −27.1248 + 11.4896i −1.49772 + 0.634407i
\(329\) 35.9143 7.14379i 1.98002 0.393850i
\(330\) −0.838258 + 5.16256i −0.0461446 + 0.284190i
\(331\) 0.862060 8.75264i 0.0473831 0.481089i −0.941985 0.335655i \(-0.891042\pi\)
0.989368 0.145434i \(-0.0464577\pi\)
\(332\) 13.9298 + 6.22252i 0.764498 + 0.341505i
\(333\) 7.80848 + 2.36868i 0.427902 + 0.129803i
\(334\) 4.47294 + 3.41337i 0.244748 + 0.186771i
\(335\) 7.61195 + 3.15297i 0.415885 + 0.172265i
\(336\) −18.1005 38.8452i −0.987464 2.11918i
\(337\) 3.63704 1.50651i 0.198122 0.0820650i −0.281416 0.959586i \(-0.590804\pi\)
0.479538 + 0.877521i \(0.340804\pi\)
\(338\) −2.51449 0.666600i −0.136770 0.0362583i
\(339\) −21.8000 40.7850i −1.18401 2.21514i
\(340\) 9.28356 + 2.11267i 0.503471 + 0.114576i
\(341\) −0.0475076 0.0578882i −0.00257268 0.00313482i
\(342\) 17.8275 + 11.0203i 0.964000 + 0.595908i
\(343\) −14.3531 9.59047i −0.774997 0.517837i
\(344\) −6.19449 + 0.659997i −0.333985 + 0.0355847i
\(345\) −6.68149 9.99956i −0.359720 0.538358i
\(346\) 15.4443 + 14.3883i 0.830289 + 0.773520i
\(347\) −7.78810 + 14.5705i −0.418087 + 0.782186i −0.999506 0.0314183i \(-0.989998\pi\)
0.581419 + 0.813604i \(0.302498\pi\)
\(348\) −41.0180 + 2.90743i −2.19879 + 0.155855i
\(349\) 18.2525 1.79772i 0.977035 0.0962296i 0.403123 0.915146i \(-0.367925\pi\)
0.573913 + 0.818916i \(0.305425\pi\)
\(350\) −4.50823 + 3.97485i −0.240975 + 0.212465i
\(351\) 2.43892 2.43892i 0.130180 0.130180i
\(352\) −0.161323 + 8.29717i −0.00859854 + 0.442241i
\(353\) 25.3593 + 25.3593i 1.34974 + 1.34974i 0.885939 + 0.463802i \(0.153515\pi\)
0.463802 + 0.885939i \(0.346485\pi\)
\(354\) −7.08825 0.445679i −0.376736 0.0236875i
\(355\) −1.02651 10.4224i −0.0544817 0.553162i
\(356\) −24.6691 8.22809i −1.30746 0.436088i
\(357\) −44.9803 24.0425i −2.38061 1.27246i
\(358\) 7.66461 0.271301i 0.405087 0.0143387i
\(359\) 21.2110 14.1727i 1.11947 0.748009i 0.148910 0.988851i \(-0.452424\pi\)
0.970564 + 0.240842i \(0.0774236\pi\)
\(360\) 9.45128 + 0.854865i 0.498126 + 0.0450553i
\(361\) 0.283605 0.424445i 0.0149266 0.0223392i
\(362\) −7.12967 30.2143i −0.374727 1.58803i
\(363\) 17.2419 14.1501i 0.904968 0.742688i
\(364\) 5.50528 + 32.2769i 0.288555 + 1.69177i
\(365\) 10.3400 5.52684i 0.541219 0.289288i
\(366\) −27.8381 + 16.1711i −1.45512 + 0.845276i
\(367\) −7.18130 17.3372i −0.374861 0.904994i −0.992912 0.118856i \(-0.962077\pi\)
0.618051 0.786138i \(-0.287923\pi\)
\(368\) −12.7336 14.2123i −0.663785 0.740868i
\(369\) −13.3724 + 32.2839i −0.696142 + 1.68063i
\(370\) −0.457989 3.40876i −0.0238097 0.177213i
\(371\) −9.28561 + 30.6106i −0.482085 + 1.58922i
\(372\) −0.186909 + 0.176933i −0.00969077 + 0.00917355i
\(373\) 18.7990 + 1.85154i 0.973376 + 0.0958691i 0.572184 0.820125i \(-0.306096\pi\)
0.401191 + 0.915994i \(0.368596\pi\)
\(374\) 5.77412 + 8.01273i 0.298573 + 0.414328i
\(375\) −0.491812 2.47251i −0.0253971 0.127680i
\(376\) −4.56371 + 23.9390i −0.235355 + 1.23456i
\(377\) 30.8142 + 6.12933i 1.58701 + 0.315677i
\(378\) −5.04154 1.88223i −0.259309 0.0968113i
\(379\) −16.6388 + 5.04734i −0.854680 + 0.259264i −0.687072 0.726589i \(-0.741104\pi\)
−0.167608 + 0.985854i \(0.553604\pi\)
\(380\) 1.10653 8.76456i 0.0567638 0.449612i
\(381\) −4.99951 + 6.09192i −0.256133 + 0.312099i
\(382\) −0.126245 0.368685i −0.00645926 0.0188636i
\(383\) −19.5740 −1.00018 −0.500092 0.865972i \(-0.666701\pi\)
−0.500092 + 0.865972i \(0.666701\pi\)
\(384\) 28.4837 1.46315i 1.45355 0.0746661i
\(385\) −6.23473 −0.317752
\(386\) −12.0028 35.0528i −0.610925 1.78414i
\(387\) −4.68798 + 5.71231i −0.238303 + 0.290373i
\(388\) 13.7654 + 1.73788i 0.698831 + 0.0882277i
\(389\) −1.88705 + 0.572431i −0.0956774 + 0.0290234i −0.337760 0.941232i \(-0.609669\pi\)
0.242083 + 0.970256i \(0.422169\pi\)
\(390\) −12.8663 4.80353i −0.651508 0.243236i
\(391\) −22.2738 4.43053i −1.12643 0.224061i
\(392\) 25.8753 17.5892i 1.30690 0.888390i
\(393\) −4.92528 24.7610i −0.248447 1.24903i
\(394\) −9.23521 12.8157i −0.465263 0.645644i
\(395\) 1.70832 + 0.168255i 0.0859550 + 0.00846583i
\(396\) 6.76753 + 7.14910i 0.340081 + 0.359256i
\(397\) 5.53038 18.2312i 0.277562 0.914999i −0.701712 0.712460i \(-0.747581\pi\)
0.979274 0.202539i \(-0.0649192\pi\)
\(398\) −4.74016 35.2805i −0.237603 1.76845i
\(399\) −18.1100 + 43.7214i −0.906633 + 2.18881i
\(400\) −1.32594 3.77384i −0.0662969 0.188692i
\(401\) −1.01330 2.44633i −0.0506020 0.122164i 0.896557 0.442928i \(-0.146060\pi\)
−0.947159 + 0.320764i \(0.896060\pi\)
\(402\) 25.3993 14.7544i 1.26680 0.735883i
\(403\) 0.173423 0.0926963i 0.00863879 0.00461753i
\(404\) 11.1627 1.90396i 0.555367 0.0947256i
\(405\) −6.03592 + 4.95355i −0.299927 + 0.246144i
\(406\) −11.2578 47.7087i −0.558717 2.36774i
\(407\) 1.98218 2.96654i 0.0982530 0.147046i
\(408\) 26.0663 21.7420i 1.29047 1.07639i
\(409\) 28.9694 19.3568i 1.43245 0.957130i 0.434029 0.900899i \(-0.357092\pi\)
0.998418 0.0562314i \(-0.0179085\pi\)
\(410\) 14.7197 0.521027i 0.726955 0.0257317i
\(411\) 26.2893 + 14.0519i 1.29676 + 0.693131i
\(412\) 5.80978 17.4186i 0.286227 0.858153i
\(413\) −0.829851 8.42562i −0.0408343 0.414597i
\(414\) −22.5914 1.42045i −1.11031 0.0698114i
\(415\) −5.39397 5.39397i −0.264780 0.264780i
\(416\) −21.2859 4.66594i −1.04363 0.228767i
\(417\) 10.7824 10.7824i 0.528017 0.528017i
\(418\) 6.87380 6.06054i 0.336209 0.296431i
\(419\) −4.40308 + 0.433665i −0.215104 + 0.0211859i −0.204995 0.978763i \(-0.565718\pi\)
−0.0101091 + 0.999949i \(0.503218\pi\)
\(420\) 1.51503 + 21.3740i 0.0739259 + 1.04295i
\(421\) −17.9492 + 33.5807i −0.874793 + 1.63662i −0.108531 + 0.994093i \(0.534615\pi\)
−0.766261 + 0.642529i \(0.777885\pi\)
\(422\) 3.49537 + 3.25638i 0.170152 + 0.158518i
\(423\) 16.0608 + 24.0366i 0.780901 + 1.16870i
\(424\) −16.5636 13.3739i −0.804398 0.649492i
\(425\) −3.95817 2.64477i −0.192000 0.128290i
\(426\) −31.7591 19.6323i −1.53873 0.951186i
\(427\) −24.3465 29.6663i −1.17821 1.43566i
\(428\) 6.80974 29.9235i 0.329161 1.44641i
\(429\) −6.71578 12.5643i −0.324241 0.606612i
\(430\) 3.01077 + 0.798167i 0.145192 + 0.0384910i
\(431\) −9.15894 + 3.79376i −0.441171 + 0.182739i −0.592201 0.805790i \(-0.701741\pi\)
0.151030 + 0.988529i \(0.451741\pi\)
\(432\) 2.42036 2.63987i 0.116450 0.127011i
\(433\) 3.94703 + 1.63491i 0.189682 + 0.0785689i 0.475503 0.879714i \(-0.342266\pi\)
−0.285821 + 0.958283i \(0.592266\pi\)
\(434\) −0.243900 0.186124i −0.0117076 0.00893423i
\(435\) 19.6751 + 5.96838i 0.943349 + 0.286162i
\(436\) 12.5557 28.1074i 0.601310 1.34610i
\(437\) −2.06541 + 20.9705i −0.0988021 + 1.00315i
\(438\) 6.69932 41.2589i 0.320106 1.97143i
\(439\) 31.5556 6.27680i 1.50607 0.299575i 0.628037 0.778183i \(-0.283859\pi\)
0.878029 + 0.478608i \(0.158859\pi\)
\(440\) 1.55729 3.84605i 0.0742409 0.183353i
\(441\) 7.24064 36.4012i 0.344792 1.73339i
\(442\) −23.5940 + 10.7659i −1.12225 + 0.512083i
\(443\) −3.18673 10.5053i −0.151406 0.499119i 0.848123 0.529799i \(-0.177733\pi\)
−0.999529 + 0.0306798i \(0.990233\pi\)
\(444\) −10.6516 6.07448i −0.505503 0.288282i
\(445\) 10.0511 + 8.24872i 0.476468 + 0.391027i
\(446\) −4.63041 + 9.45278i −0.219256 + 0.447602i
\(447\) 6.08094i 0.287619i
\(448\) 7.16365 + 33.2361i 0.338451 + 1.57026i
\(449\) 25.5622i 1.20636i 0.797606 + 0.603179i \(0.206099\pi\)
−0.797606 + 0.603179i \(0.793901\pi\)
\(450\) −4.26116 2.08732i −0.200873 0.0983970i
\(451\) 11.8108 + 9.69286i 0.556148 + 0.456419i
\(452\) 9.68401 + 35.3880i 0.455497 + 1.66451i
\(453\) 6.77212 + 22.3247i 0.318182 + 1.04890i
\(454\) −13.3756 29.3131i −0.627747 1.37573i
\(455\) 3.19393 16.0570i 0.149734 0.752762i
\(456\) −22.4472 22.0922i −1.05119 1.03456i
\(457\) −2.81415 + 0.559769i −0.131640 + 0.0261849i −0.260471 0.965482i \(-0.583878\pi\)
0.128830 + 0.991667i \(0.458878\pi\)
\(458\) −21.0445 3.41706i −0.983347 0.159669i
\(459\) 0.417786 4.24185i 0.0195006 0.197993i
\(460\) 3.40827 + 8.91164i 0.158912 + 0.415507i
\(461\) 40.8849 + 12.4023i 1.90420 + 0.577633i 0.981259 + 0.192693i \(0.0617222\pi\)
0.922942 + 0.384940i \(0.125778\pi\)
\(462\) −13.4845 + 17.6704i −0.627357 + 0.822101i
\(463\) 12.1294 + 5.02416i 0.563701 + 0.233493i 0.646291 0.763091i \(-0.276319\pi\)
−0.0825901 + 0.996584i \(0.526319\pi\)
\(464\) 32.2423 + 4.97183i 1.49681 + 0.230811i
\(465\) 0.118890 0.0492459i 0.00551340 0.00228373i
\(466\) −4.27403 + 16.1221i −0.197990 + 0.746842i
\(467\) −11.0818 20.7327i −0.512807 0.959394i −0.996455 0.0841314i \(-0.973188\pi\)
0.483648 0.875263i \(-0.339312\pi\)
\(468\) −21.8787 + 13.7668i −1.01134 + 0.636370i
\(469\) 22.2136 + 27.0674i 1.02573 + 1.24986i
\(470\) 6.40702 10.3646i 0.295534 0.478085i
\(471\) −20.4871 13.6890i −0.943995 0.630757i
\(472\) 5.40483 + 1.59261i 0.248778 + 0.0733057i
\(473\) 1.79510 + 2.68655i 0.0825387 + 0.123528i
\(474\) 4.17164 4.47780i 0.191610 0.205672i
\(475\) −2.08219 + 3.89550i −0.0955375 + 0.178738i
\(476\) 30.5631 + 26.5172i 1.40086 + 1.21541i
\(477\) −25.1318 + 2.47527i −1.15071 + 0.113335i
\(478\) −17.5466 19.9011i −0.802563 0.910257i
\(479\) 1.42263 1.42263i 0.0650018 0.0650018i −0.673859 0.738860i \(-0.735364\pi\)
0.738860 + 0.673859i \(0.235364\pi\)
\(480\) −13.5635 4.40414i −0.619087 0.201021i
\(481\) 6.62461 + 6.62461i 0.302056 + 0.302056i
\(482\) 0.927540 14.7520i 0.0422483 0.671934i
\(483\) −5.00976 50.8650i −0.227952 2.31444i
\(484\) −15.8290 + 7.91082i −0.719498 + 0.359583i
\(485\) −6.11817 3.27023i −0.277812 0.148493i
\(486\) 1.11913 + 31.6169i 0.0507647 + 1.43417i
\(487\) −0.104226 + 0.0696415i −0.00472293 + 0.00315576i −0.557929 0.829888i \(-0.688404\pi\)
0.553207 + 0.833044i \(0.313404\pi\)
\(488\) 24.3816 7.60882i 1.10370 0.344435i
\(489\) −22.1596 + 33.1642i −1.00209 + 1.49974i
\(490\) −15.2256 + 3.59279i −0.687823 + 0.162306i
\(491\) −9.25872 + 7.59844i −0.417840 + 0.342913i −0.819705 0.572787i \(-0.805862\pi\)
0.401864 + 0.915699i \(0.368362\pi\)
\(492\) 30.3592 42.8453i 1.36870 1.93161i
\(493\) 34.2410 18.3022i 1.54214 0.824291i
\(494\) 12.0870 + 20.8075i 0.543822 + 0.936174i
\(495\) −1.88361 4.54745i −0.0846621 0.204392i
\(496\) 0.175736 0.103967i 0.00789077 0.00466824i
\(497\) 17.0327 41.1206i 0.764021 1.84451i
\(498\) −26.9537 + 3.62139i −1.20782 + 0.162279i
\(499\) 7.58045 24.9894i 0.339348 1.11868i −0.606776 0.794873i \(-0.707537\pi\)
0.946123 0.323806i \(-0.104963\pi\)
\(500\) −0.0548156 + 1.99925i −0.00245143 + 0.0894091i
\(501\) −9.98150 0.983092i −0.445941 0.0439213i
\(502\) 7.64821 5.51144i 0.341356 0.245988i
\(503\) 3.28158 + 16.4976i 0.146318 + 0.735592i 0.982371 + 0.186943i \(0.0598579\pi\)
−0.836052 + 0.548650i \(0.815142\pi\)
\(504\) 33.7116 + 22.1388i 1.50164 + 0.986140i
\(505\) −5.55318 1.10460i −0.247113 0.0491539i
\(506\) −3.46175 + 9.27231i −0.153894 + 0.412204i
\(507\) 4.43744 1.34608i 0.197073 0.0597816i
\(508\) 4.93994 3.83242i 0.219174 0.170036i
\(509\) −20.3937 + 24.8498i −0.903936 + 1.10145i 0.0904782 + 0.995898i \(0.471160\pi\)
−0.994414 + 0.105550i \(0.966340\pi\)
\(510\) −16.0565 + 5.49808i −0.710995 + 0.243459i
\(511\) 49.8277 2.20425
\(512\) −22.2918 3.88252i −0.985169 0.171585i
\(513\) −3.95491 −0.174614
\(514\) −15.1774 + 5.19706i −0.669449 + 0.229233i
\(515\) −5.82435 + 7.09699i −0.256651 + 0.312731i
\(516\) 8.77388 6.80681i 0.386249 0.299653i
\(517\) 12.0958 3.66922i 0.531973 0.161372i
\(518\) 5.11253 13.6939i 0.224631 0.601676i
\(519\) −36.9037 7.34061i −1.61989 0.322217i
\(520\) 9.10737 + 5.98091i 0.399385 + 0.262280i
\(521\) −4.78861 24.0740i −0.209793 1.05470i −0.931844 0.362860i \(-0.881800\pi\)
0.722051 0.691840i \(-0.243200\pi\)
\(522\) 31.3963 22.6247i 1.37418 0.990258i
\(523\) −5.46673 0.538425i −0.239043 0.0235437i −0.0222139 0.999753i \(-0.507071\pi\)
−0.216829 + 0.976210i \(0.569571\pi\)
\(524\) −0.548953 + 20.0216i −0.0239811 + 0.874646i
\(525\) 3.11006 10.2525i 0.135734 0.447455i
\(526\) 18.4078 2.47321i 0.802620 0.107837i
\(527\) 0.0929941 0.224508i 0.00405089 0.00977971i
\(528\) −7.53231 12.7319i −0.327802 0.554086i
\(529\) 0.0924544 + 0.223205i 0.00401976 + 0.00970455i
\(530\) 5.34667 + 9.20414i 0.232244 + 0.399802i
\(531\) 5.89470 3.15078i 0.255808 0.136732i
\(532\) 21.7063 30.6336i 0.941086 1.32813i
\(533\) −31.0135 + 25.4521i −1.34334 + 1.10245i
\(534\) 45.1170 10.6463i 1.95240 0.460709i
\(535\) −8.52483 + 12.7583i −0.368561 + 0.551590i
\(536\) −22.2457 + 6.94224i −0.960866 + 0.299859i
\(537\) −11.3673 + 7.59539i −0.490535 + 0.327765i
\(538\) 1.48000 + 41.8121i 0.0638075 + 1.80265i
\(539\) −14.3118 7.64980i −0.616452 0.329500i
\(540\) −1.60184 + 0.800548i −0.0689321 + 0.0344501i
\(541\) −0.778729 7.90657i −0.0334802 0.339930i −0.997303 0.0733879i \(-0.976619\pi\)
0.963823 0.266542i \(-0.0858811\pi\)
\(542\) 1.31889 20.9762i 0.0566513 0.901005i
\(543\) 39.1302 + 39.1302i 1.67924 + 1.67924i
\(544\) −23.9917 + 12.2303i −1.02864 + 0.524368i
\(545\) −10.8839 + 10.8839i −0.466214 + 0.466214i
\(546\) −38.6005 43.7803i −1.65195 1.87362i
\(547\) 1.75144 0.172501i 0.0748860 0.00737563i −0.0605047 0.998168i \(-0.519271\pi\)
0.135391 + 0.990792i \(0.456771\pi\)
\(548\) −17.8630 15.4983i −0.763070 0.662054i
\(549\) 14.2823 26.7204i 0.609556 1.14040i
\(550\) −1.41421 + 1.51800i −0.0603022 + 0.0647278i
\(551\) −20.0143 29.9536i −0.852640 1.27607i
\(552\) 32.6287 + 9.61448i 1.38877 + 0.409219i
\(553\) 6.06587 + 4.05309i 0.257947 + 0.172355i
\(554\) −21.0095 + 33.9870i −0.892606 + 1.44397i
\(555\) 3.88946 + 4.73932i 0.165098 + 0.201173i
\(556\) −10.2392 + 6.44282i −0.434237 + 0.273236i
\(557\) −16.1450 30.2052i −0.684086 1.27983i −0.948913 0.315538i \(-0.897815\pi\)
0.264827 0.964296i \(-0.414685\pi\)
\(558\) 0.0620675 0.234125i 0.00262753 0.00991131i
\(559\) −7.83855 + 3.24683i −0.331535 + 0.137326i
\(560\) 2.59077 16.8011i 0.109480 0.709976i
\(561\) −16.2654 6.73735i −0.686726 0.284451i
\(562\) 3.14660 4.12337i 0.132731 0.173934i
\(563\) 17.1924 + 5.21526i 0.724573 + 0.219797i 0.630964 0.775812i \(-0.282660\pi\)
0.0936092 + 0.995609i \(0.470160\pi\)
\(564\) −15.5181 40.5754i −0.653432 1.70853i
\(565\) 1.79808 18.2562i 0.0756457 0.768044i
\(566\) −18.8097 3.05418i −0.790631 0.128377i
\(567\) −32.5472 + 6.47403i −1.36685 + 0.271884i
\(568\) 21.1119 + 20.7780i 0.885835 + 0.871825i
\(569\) 3.14180 15.7949i 0.131711 0.662157i −0.857360 0.514718i \(-0.827897\pi\)
0.989071 0.147440i \(-0.0471032\pi\)
\(570\) 6.53721 + 14.3265i 0.273813 + 0.600073i
\(571\) −2.06094 6.79402i −0.0862478 0.284321i 0.903198 0.429224i \(-0.141213\pi\)
−0.989446 + 0.144903i \(0.953713\pi\)
\(572\) 2.98328 + 10.9017i 0.124737 + 0.455824i
\(573\) 0.536988 + 0.440695i 0.0224330 + 0.0184103i
\(574\) 56.2147 + 27.5366i 2.34636 + 1.14936i
\(575\) 4.77058i 0.198947i
\(576\) −22.0772 + 15.2661i −0.919885 + 0.636089i
\(577\) 24.4685i 1.01864i −0.860579 0.509318i \(-0.829898\pi\)
0.860579 0.509318i \(-0.170102\pi\)
\(578\) −3.52240 + 7.19082i −0.146513 + 0.299099i
\(579\) 51.0543 + 41.8992i 2.12174 + 1.74127i
\(580\) −14.1695 8.08066i −0.588355 0.335531i
\(581\) −9.41085 31.0234i −0.390428 1.28707i
\(582\) −22.5009 + 10.2671i −0.932691 + 0.425587i
\(583\) −2.15416 + 10.8297i −0.0892163 + 0.448521i
\(584\) −12.4458 + 30.7375i −0.515010 + 1.27193i
\(585\) 12.6764 2.52150i 0.524106 0.104251i
\(586\) −5.74314 + 35.3702i −0.237247 + 1.46113i
\(587\) −0.942516 + 9.56952i −0.0389018 + 0.394976i 0.955942 + 0.293556i \(0.0948387\pi\)
−0.994844 + 0.101420i \(0.967661\pi\)
\(588\) −22.7474 + 50.9227i −0.938088 + 2.10002i
\(589\) −0.215767 0.0654523i −0.00889054 0.00269692i
\(590\) −2.23966 1.70912i −0.0922053 0.0703632i
\(591\) 26.0151 + 10.7758i 1.07012 + 0.443258i
\(592\) 7.17044 + 6.57421i 0.294703 + 0.270198i
\(593\) −21.1904 + 8.77734i −0.870184 + 0.360442i −0.772682 0.634793i \(-0.781085\pi\)
−0.0975019 + 0.995235i \(0.531085\pi\)
\(594\) −1.79559 0.476017i −0.0736739 0.0195312i
\(595\) −9.53709 17.8426i −0.390983 0.731477i
\(596\) 1.07051 4.70406i 0.0438498 0.192686i
\(597\) 40.2557 + 49.0517i 1.64755 + 2.00755i
\(598\) −22.1066 13.6654i −0.904004 0.558821i
\(599\) −39.9278 26.6789i −1.63141 1.09007i −0.923383 0.383880i \(-0.874588\pi\)
−0.708022 0.706190i \(-0.750412\pi\)
\(600\) 5.54769 + 4.47935i 0.226483 + 0.182869i
\(601\) 10.1590 + 15.2040i 0.414394 + 0.620184i 0.978679 0.205396i \(-0.0658482\pi\)
−0.564285 + 0.825580i \(0.690848\pi\)
\(602\) 9.68562 + 9.02339i 0.394756 + 0.367766i
\(603\) −13.0311 + 24.3795i −0.530668 + 0.992811i
\(604\) −1.30862 18.4620i −0.0532470 0.751207i
\(605\) 8.80524 0.867240i 0.357984 0.0352583i
\(606\) −15.1411 + 13.3497i −0.615065 + 0.542295i
\(607\) 18.7121 18.7121i 0.759500 0.759500i −0.216731 0.976231i \(-0.569540\pi\)
0.976231 + 0.216731i \(0.0695396\pi\)
\(608\) 13.4754 + 21.0416i 0.546499 + 0.853350i
\(609\) 61.7871 + 61.7871i 2.50374 + 2.50374i
\(610\) −12.7455 0.801381i −0.516049 0.0324470i
\(611\) 3.25329 + 33.0312i 0.131614 + 1.33630i
\(612\) −10.1073 + 30.3032i −0.408563 + 1.22493i
\(613\) −0.589060 0.314859i −0.0237919 0.0127170i 0.459458 0.888200i \(-0.348044\pi\)
−0.483250 + 0.875483i \(0.660544\pi\)
\(614\) −42.7145 + 1.51195i −1.72382 + 0.0610172i
\(615\) −21.8306 + 14.5868i −0.880296 + 0.588195i
\(616\) 13.5420 11.2955i 0.545625 0.455109i
\(617\) −22.3084 + 33.3869i −0.898103 + 1.34411i 0.0405256 + 0.999178i \(0.487097\pi\)
−0.938629 + 0.344928i \(0.887903\pi\)
\(618\) 7.51724 + 31.8567i 0.302388 + 1.28146i
\(619\) 24.7908 20.3453i 0.996426 0.817746i 0.0131587 0.999913i \(-0.495811\pi\)
0.983268 + 0.182168i \(0.0583113\pi\)
\(620\) −0.100640 + 0.0171655i −0.00404179 + 0.000689385i
\(621\) 3.76707 2.01354i 0.151167 0.0808007i
\(622\) −15.7337 + 9.13968i −0.630864 + 0.366468i
\(623\) 21.1470 + 51.0533i 0.847236 + 2.04541i
\(624\) 36.6485 12.8764i 1.46711 0.515470i
\(625\) 0.382683 0.923880i 0.0153073 0.0369552i
\(626\) −2.80864 20.9044i −0.112256 0.835508i
\(627\) −4.74197 + 15.6322i −0.189376 + 0.624289i
\(628\) 13.4384 + 14.1961i 0.536251 + 0.566486i
\(629\) 11.5218 + 1.13480i 0.459403 + 0.0452472i
\(630\) −11.7895 16.3603i −0.469705 0.651808i
\(631\) −0.705339 3.54598i −0.0280791 0.141163i 0.964203 0.265166i \(-0.0854268\pi\)
−0.992282 + 0.124003i \(0.960427\pi\)
\(632\) −4.01536 + 2.72952i −0.159722 + 0.108574i
\(633\) −8.35210 1.66134i −0.331966 0.0660322i
\(634\) −26.4191 9.86337i −1.04923 0.391725i
\(635\) −2.99151 + 0.907464i −0.118714 + 0.0360116i
\(636\) 37.6500 + 4.75333i 1.49292 + 0.188482i
\(637\) 27.0330 32.9398i 1.07108 1.30512i
\(638\) −5.48156 16.0083i −0.217017 0.633775i
\(639\) 35.1381 1.39004
\(640\) 9.71707 + 5.79470i 0.384101 + 0.229056i
\(641\) −17.1638 −0.677931 −0.338966 0.940799i \(-0.610077\pi\)
−0.338966 + 0.940799i \(0.610077\pi\)
\(642\) 17.7218 + 51.7547i 0.699426 + 2.04260i
\(643\) −16.9245 + 20.6226i −0.667439 + 0.813276i −0.991131 0.132886i \(-0.957576\pi\)
0.323693 + 0.946162i \(0.395076\pi\)
\(644\) −5.07903 + 40.2298i −0.200142 + 1.58528i
\(645\) −5.31325 + 1.61176i −0.209209 + 0.0634629i
\(646\) 27.8588 + 10.4009i 1.09609 + 0.409218i
\(647\) 36.9102 + 7.34189i 1.45109 + 0.288639i 0.856815 0.515624i \(-0.172440\pi\)
0.594273 + 0.804263i \(0.297440\pi\)
\(648\) 4.13584 21.6946i 0.162471 0.852244i
\(649\) −0.570152 2.86635i −0.0223804 0.112514i
\(650\) −3.18499 4.41980i −0.124926 0.173359i
\(651\) 0.544271 + 0.0536060i 0.0213317 + 0.00210099i
\(652\) 22.9804 21.7539i 0.899983 0.851949i
\(653\) −4.48185 + 14.7747i −0.175388 + 0.578177i 0.824535 + 0.565810i \(0.191437\pi\)
−0.999924 + 0.0123669i \(0.996063\pi\)
\(654\) 7.30720 + 54.3867i 0.285734 + 2.12669i
\(655\) 3.83240 9.25224i 0.149744 0.361515i
\(656\) −31.0278 + 27.7995i −1.21143 + 1.08539i
\(657\) 15.0537 + 36.3430i 0.587302 + 1.41787i
\(658\) 44.7786 26.0118i 1.74565 1.01405i
\(659\) 5.75768 3.07754i 0.224287 0.119884i −0.355426 0.934704i \(-0.615664\pi\)
0.579714 + 0.814820i \(0.303164\pi\)
\(660\) 1.24363 + 7.29128i 0.0484083 + 0.283813i
\(661\) 15.4902 12.7125i 0.602500 0.494459i −0.282987 0.959124i \(-0.591325\pi\)
0.885487 + 0.464665i \(0.153825\pi\)
\(662\) −2.85655 12.1055i −0.111023 0.470495i
\(663\) 25.6838 38.4386i 0.997478 1.49283i
\(664\) 21.4882 + 1.94360i 0.833903 + 0.0754263i
\(665\) −15.6085 + 10.4293i −0.605271 + 0.404429i
\(666\) 11.5325 0.408212i 0.446877 0.0158179i
\(667\) 34.3138 + 18.3411i 1.32864 + 0.710171i
\(668\) 7.54837 + 2.51767i 0.292055 + 0.0974117i
\(669\) −1.83913 18.6730i −0.0711048 0.721939i
\(670\) 11.6289 + 0.731175i 0.449264 + 0.0282477i
\(671\) −9.36743 9.36743i −0.361626 0.361626i
\(672\) −42.0141 43.6803i −1.62073 1.68500i
\(673\) −8.32819 + 8.32819i −0.321028 + 0.321028i −0.849161 0.528133i \(-0.822892\pi\)
0.528133 + 0.849161i \(0.322892\pi\)
\(674\) 4.17598 3.68191i 0.160853 0.141822i
\(675\) 0.891060 0.0877617i 0.0342969 0.00337795i
\(676\) −3.66966 + 0.260112i −0.141141 + 0.0100043i
\(677\) −9.00547 + 16.8481i −0.346108 + 0.647523i −0.993398 0.114721i \(-0.963403\pi\)
0.647289 + 0.762244i \(0.275903\pi\)
\(678\) −47.8526 44.5807i −1.83777 1.71211i
\(679\) −16.3799 24.5143i −0.628603 0.940771i
\(680\) 13.3888 1.42652i 0.513438 0.0547046i
\(681\) 47.7561 + 31.9096i 1.83002 + 1.22278i
\(682\) −0.0900836 0.0556863i −0.00344948 0.00213234i
\(683\) 2.42174 + 2.95090i 0.0926652 + 0.112913i 0.817279 0.576243i \(-0.195482\pi\)
−0.724613 + 0.689156i \(0.757982\pi\)
\(684\) 28.9011 + 6.57707i 1.10506 + 0.251481i
\(685\) 5.57407 + 10.4284i 0.212974 + 0.398447i
\(686\) −23.5976 6.25580i −0.900959 0.238847i
\(687\) 35.1119 14.5438i 1.33960 0.554881i
\(688\) −7.98554 + 3.72099i −0.304446 + 0.141861i
\(689\) −26.7873 11.0957i −1.02052 0.422712i
\(690\) −13.5207 10.3178i −0.514724 0.392793i
\(691\) 27.0269 + 8.19852i 1.02815 + 0.311886i 0.758916 0.651188i \(-0.225729\pi\)
0.269235 + 0.963074i \(0.413229\pi\)
\(692\) 27.2555 + 12.1752i 1.03610 + 0.462831i
\(693\) 2.05038 20.8179i 0.0778876 0.790806i
\(694\) −3.74474 + 23.0626i −0.142148 + 0.875446i
\(695\) 5.93254 1.18006i 0.225034 0.0447621i
\(696\) −53.5479 + 22.6820i −2.02973 + 0.859758i
\(697\) −9.67254 + 48.6272i −0.366374 + 1.84188i
\(698\) 23.5973 10.7675i 0.893173 0.407555i
\(699\) −8.63064 28.4514i −0.326441 1.07613i
\(700\) −4.21075 + 7.38356i −0.159151 + 0.279072i
\(701\) 16.7287 + 13.7289i 0.631836 + 0.518534i 0.894913 0.446240i \(-0.147237\pi\)
−0.263077 + 0.964775i \(0.584737\pi\)
\(702\) 2.14578 4.38051i 0.0809872 0.165332i
\(703\) 10.7424i 0.405157i
\(704\) 3.58543 + 11.1751i 0.135131 + 0.421178i
\(705\) 21.7208i 0.818053i
\(706\) 45.5476 + 22.3114i 1.71421 + 0.839699i
\(707\) −18.6009 15.2654i −0.699559 0.574113i
\(708\) −9.68790 + 2.65112i −0.364094 + 0.0996352i
\(709\) 0.410502 + 1.35324i 0.0154167 + 0.0508221i 0.964311 0.264771i \(-0.0852965\pi\)
−0.948895 + 0.315593i \(0.897796\pi\)
\(710\) −6.14833 13.4743i −0.230743 0.505682i
\(711\) −1.12361 + 5.64878i −0.0421388 + 0.211846i
\(712\) −36.7756 + 0.293128i −1.37822 + 0.0109854i
\(713\) 0.238843 0.0475088i 0.00894473 0.00177922i
\(714\) −71.1962 11.5603i −2.66445 0.432634i
\(715\) 0.553921 5.62406i 0.0207155 0.210328i
\(716\) 10.1306 3.87446i 0.378597 0.144795i
\(717\) 45.2586 + 13.7290i 1.69021 + 0.512720i
\(718\) 21.8861 28.6800i 0.816783 1.07033i
\(719\) −28.4673 11.7915i −1.06165 0.439750i −0.217614 0.976035i \(-0.569827\pi\)
−0.844037 + 0.536284i \(0.819827\pi\)
\(720\) 13.0370 3.18625i 0.485859 0.118744i
\(721\) −36.0483 + 14.9317i −1.34251 + 0.556085i
\(722\) 0.184994 0.697817i 0.00688475 0.0259701i
\(723\) 12.4206 + 23.2373i 0.461927 + 0.864204i
\(724\) −23.3815 37.1588i −0.868967 1.38099i
\(725\) 5.17401 + 6.30455i 0.192158 + 0.234145i
\(726\) 16.5861 26.8313i 0.615568 0.995805i
\(727\) 18.3237 + 12.2435i 0.679589 + 0.454087i 0.846854 0.531825i \(-0.178494\pi\)
−0.167265 + 0.985912i \(0.553494\pi\)
\(728\) 22.1532 + 40.6627i 0.821050 + 1.50706i
\(729\) −18.3171 27.4134i −0.678410 1.01531i
\(730\) 11.3023 12.1318i 0.418317 0.449018i
\(731\) −4.94250 + 9.24678i −0.182805 + 0.342004i
\(732\) −29.8373 + 34.3898i −1.10282 + 1.27108i
\(733\) 11.7722 1.15946i 0.434814 0.0428255i 0.121757 0.992560i \(-0.461147\pi\)
0.313057 + 0.949734i \(0.398647\pi\)
\(734\) −17.5511 19.9062i −0.647822 0.734752i
\(735\) 19.7186 19.7186i 0.727330 0.727330i
\(736\) −23.5481 13.1816i −0.867996 0.485880i
\(737\) 8.54678 + 8.54678i 0.314825 + 0.314825i
\(738\) −3.10107 + 49.3207i −0.114152 + 1.81552i
\(739\) 0.00984352 + 0.0999429i 0.000362100 + 0.00367646i 0.995364 0.0961787i \(-0.0306620\pi\)
−0.995002 + 0.0998552i \(0.968162\pi\)
\(740\) −2.17446 4.35093i −0.0799347 0.159943i
\(741\) −37.8300 20.2205i −1.38972 0.742820i
\(742\) 1.60026 + 45.2095i 0.0587474 + 1.65969i
\(743\) −13.2206 + 8.83374i −0.485018 + 0.324078i −0.773924 0.633279i \(-0.781709\pi\)
0.288906 + 0.957358i \(0.406709\pi\)
\(744\) −0.169014 + 0.322358i −0.00619637 + 0.0118182i
\(745\) −1.34013 + 2.00564i −0.0490985 + 0.0734811i
\(746\) 26.0004 6.13532i 0.951941 0.224630i
\(747\) 19.7845 16.2367i 0.723875 0.594069i
\(748\) 11.3964 + 8.07526i 0.416695 + 0.295261i
\(749\) −57.5118 + 30.7407i −2.10144 + 1.12324i
\(750\) −1.79078 3.08277i −0.0653899 0.112567i
\(751\) −1.57663 3.80633i −0.0575321 0.138895i 0.892500 0.451048i \(-0.148950\pi\)
−0.950032 + 0.312153i \(0.898950\pi\)
\(752\) 4.86140 + 34.1199i 0.177277 + 1.24423i
\(753\) −6.43085 + 15.5254i −0.234353 + 0.565779i
\(754\) 44.0359 5.91651i 1.60369 0.215467i
\(755\) −2.68634 + 8.85567i −0.0977659 + 0.322291i
\(756\) −7.60765 0.208587i −0.276688 0.00758625i
\(757\) −23.0753 2.27272i −0.838687 0.0826034i −0.330453 0.943822i \(-0.607201\pi\)
−0.508234 + 0.861219i \(0.669701\pi\)
\(758\) −19.9495 + 14.3760i −0.724600 + 0.522160i
\(759\) −3.44197 17.3040i −0.124936 0.628094i
\(760\) −2.53492 12.2335i −0.0919512 0.443755i
\(761\) −40.0224 7.96095i −1.45081 0.288584i −0.594105 0.804388i \(-0.702493\pi\)
−0.856707 + 0.515803i \(0.827493\pi\)
\(762\) −3.89814 + 10.4412i −0.141215 + 0.378243i
\(763\) −62.5986 + 18.9891i −2.26622 + 0.687451i
\(764\) −0.337819 0.435444i −0.0122219 0.0157538i
\(765\) 10.1326 12.3466i 0.366346 0.446394i
\(766\) −26.1890 + 8.96764i −0.946248 + 0.324014i
\(767\) 7.67407 0.277095
\(768\) 37.4394 15.0072i 1.35098 0.541524i
\(769\) 0.976753 0.0352226 0.0176113 0.999845i \(-0.494394\pi\)
0.0176113 + 0.999845i \(0.494394\pi\)
\(770\) −8.34176 + 2.85638i −0.300616 + 0.102937i
\(771\) 18.1418 22.1059i 0.653363 0.796125i
\(772\) −32.1182 41.3999i −1.15596 1.49001i
\(773\) 23.2152 7.04224i 0.834991 0.253292i 0.156294 0.987711i \(-0.450045\pi\)
0.678697 + 0.734419i \(0.262545\pi\)
\(774\) −3.65523 + 9.79054i −0.131385 + 0.351914i
\(775\) 0.0500658 + 0.00995871i 0.00179842 + 0.000357727i
\(776\) 19.2136 3.98127i 0.689726 0.142919i
\(777\) 5.08331 + 25.5555i 0.182363 + 0.916800i
\(778\) −2.26253 + 1.63042i −0.0811155 + 0.0584533i
\(779\) 45.7819 + 4.50912i 1.64031 + 0.161556i
\(780\) −19.4151 0.532324i −0.695171 0.0190603i
\(781\) 4.45989 14.7023i 0.159587 0.526089i
\(782\) −31.8310 + 4.27669i −1.13827 + 0.152934i
\(783\) −2.79455 + 6.74663i −0.0998690 + 0.241105i
\(784\) 26.5614 35.3880i 0.948623 1.26386i
\(785\) −3.74033 9.02995i −0.133498 0.322293i
\(786\) −17.9338 30.8725i −0.639678 1.10119i
\(787\) 16.2715 8.69731i 0.580017 0.310026i −0.155172 0.987887i \(-0.549593\pi\)
0.735189 + 0.677862i \(0.237093\pi\)
\(788\) −18.2276 12.9157i −0.649332 0.460102i
\(789\) −25.5930 + 21.0036i −0.911136 + 0.747750i
\(790\) 2.36273 0.557535i 0.0840622 0.0198362i
\(791\) 43.3138 64.8237i 1.54006 2.30486i
\(792\) 12.3299 + 6.46465i 0.438124 + 0.229711i
\(793\) 28.9236 19.3262i 1.02711 0.686292i
\(794\) −0.953093 26.9261i −0.0338240 0.955573i
\(795\) −16.7340 8.94450i −0.593493 0.317229i
\(796\) −22.5055 45.0319i −0.797687 1.59611i
\(797\) 1.41780 + 14.3952i 0.0502211 + 0.509904i 0.987084 + 0.160206i \(0.0512158\pi\)
−0.936863 + 0.349698i \(0.886284\pi\)
\(798\) −4.19971 + 66.7939i −0.148668 + 2.36448i
\(799\) 29.0032 + 29.0032i 1.02606 + 1.02606i
\(800\) −3.50299 4.44174i −0.123849 0.157039i
\(801\) −30.8481 + 30.8481i −1.08996 + 1.08996i
\(802\) −2.47651 2.80883i −0.0874487 0.0991833i
\(803\) 17.1171 1.68589i 0.604050 0.0594938i
\(804\) 27.2234 31.3771i 0.960094 1.10658i
\(805\) 9.55737 17.8806i 0.336853 0.630207i
\(806\) 0.189563 0.203475i 0.00667706 0.00716709i
\(807\) −41.4344 62.0110i −1.45856 2.18289i
\(808\) 14.0629 7.66151i 0.494731 0.269531i
\(809\) 35.7917 + 23.9152i 1.25837 + 0.840814i 0.992386 0.123164i \(-0.0393041\pi\)
0.265981 + 0.963978i \(0.414304\pi\)
\(810\) −5.80633 + 9.39290i −0.204014 + 0.330033i
\(811\) −21.3424 26.0058i −0.749432 0.913186i 0.249037 0.968494i \(-0.419886\pi\)
−0.998469 + 0.0553079i \(0.982386\pi\)
\(812\) −36.9197 58.6742i −1.29563 2.05906i
\(813\) 17.6611 + 33.0417i 0.619403 + 1.15882i
\(814\) 1.29296 4.87720i 0.0453183 0.170946i
\(815\) −14.6176 + 6.05479i −0.512031 + 0.212090i
\(816\) 24.9144 41.0317i 0.872179 1.43640i
\(817\) 8.98796 + 3.72294i 0.314449 + 0.130249i
\(818\) 29.8915 39.1704i 1.04513 1.36956i
\(819\) 52.5641 + 15.9451i 1.83674 + 0.557168i
\(820\) 19.4555 7.44080i 0.679416 0.259844i
\(821\) −2.47317 + 25.1105i −0.0863142 + 0.876362i 0.850370 + 0.526186i \(0.176378\pi\)
−0.936684 + 0.350176i \(0.886122\pi\)
\(822\) 41.6116 + 6.75658i 1.45137 + 0.235663i
\(823\) 9.78018 1.94540i 0.340916 0.0678123i −0.0216635 0.999765i \(-0.506896\pi\)
0.362579 + 0.931953i \(0.381896\pi\)
\(824\) −0.206975 25.9669i −0.00721031 0.904600i
\(825\) 0.721501 3.62723i 0.0251194 0.126284i
\(826\) −4.97041 10.8929i −0.172943 0.379011i
\(827\) 0.0736363 + 0.242746i 0.00256059 + 0.00844112i 0.958211 0.286061i \(-0.0923461\pi\)
−0.955651 + 0.294502i \(0.904846\pi\)
\(828\) −30.8770 + 8.44956i −1.07305 + 0.293643i
\(829\) −7.09887 5.82589i −0.246554 0.202342i 0.502997 0.864288i \(-0.332231\pi\)
−0.749551 + 0.661946i \(0.769731\pi\)
\(830\) −9.68806 4.74567i −0.336277 0.164724i
\(831\) 71.2254i 2.47078i
\(832\) −30.6171 + 3.50915i −1.06146 + 0.121658i
\(833\) 52.6593i 1.82454i
\(834\) 9.48645 19.3662i 0.328489 0.670596i
\(835\) −3.07549 2.52399i −0.106432 0.0873462i
\(836\) 6.42021 11.2579i 0.222048 0.389361i
\(837\) 0.0132677 + 0.0437376i 0.000458598 + 0.00151179i
\(838\) −5.69241 + 2.59745i −0.196641 + 0.0897274i
\(839\) 10.0768 50.6594i 0.347889 1.74896i −0.270160 0.962815i \(-0.587077\pi\)
0.618049 0.786140i \(-0.287923\pi\)
\(840\) 11.8193 + 27.9032i 0.407806 + 0.962753i
\(841\) −36.7968 + 7.31934i −1.26886 + 0.252391i
\(842\) −8.63051 + 53.1525i −0.297427 + 1.83176i
\(843\) −0.906260 + 9.20142i −0.0312133 + 0.316914i
\(844\) 6.16850 + 2.75550i 0.212329 + 0.0948482i
\(845\) 1.76023 + 0.533959i 0.0605536 + 0.0183687i
\(846\) 32.5006 + 24.8017i 1.11739 + 0.852700i
\(847\) 34.7403 + 14.3899i 1.19369 + 0.494443i
\(848\) −28.2883 10.3051i −0.971424 0.353879i
\(849\) 31.3832 12.9993i 1.07707 0.446136i
\(850\) −6.50751 1.72516i −0.223206 0.0591727i
\(851\) 5.46921 + 10.2322i 0.187482 + 0.350754i
\(852\) −51.4864 11.7168i −1.76389 0.401412i
\(853\) 1.27424 + 1.55267i 0.0436292 + 0.0531624i 0.794368 0.607437i \(-0.207802\pi\)
−0.750739 + 0.660599i \(0.770302\pi\)
\(854\) −46.1658 28.5379i −1.57976 0.976548i
\(855\) −12.3224 8.23356i −0.421417 0.281582i
\(856\) −4.59808 43.1559i −0.157159 1.47504i
\(857\) 0.858339 + 1.28460i 0.0293203 + 0.0438809i 0.845840 0.533436i \(-0.179100\pi\)
−0.816520 + 0.577317i \(0.804100\pi\)
\(858\) −14.7416 13.7337i −0.503270 0.468860i
\(859\) −26.9710 + 50.4592i −0.920238 + 1.72164i −0.268363 + 0.963318i \(0.586483\pi\)
−0.651875 + 0.758326i \(0.726017\pi\)
\(860\) 4.39393 0.311450i 0.149832 0.0106204i
\(861\) −111.046 + 10.9371i −3.78445 + 0.372736i
\(862\) −10.5161 + 9.27194i −0.358181 + 0.315803i
\(863\) −31.1595 + 31.1595i −1.06068 + 1.06068i −0.0626447 + 0.998036i \(0.519953\pi\)
−0.998036 + 0.0626447i \(0.980047\pi\)
\(864\) 2.02889 4.64087i 0.0690241 0.157886i
\(865\) −10.5540 10.5540i −0.358847 0.358847i
\(866\) 6.02995 + 0.379137i 0.204906 + 0.0128836i
\(867\) −1.39904 14.2047i −0.0475140 0.482418i
\(868\) −0.411597 0.137284i −0.0139705 0.00465971i
\(869\) 2.22092 + 1.18711i 0.0753396 + 0.0402699i
\(870\) 29.0586 1.02858i 0.985180 0.0348720i
\(871\) −26.3898 + 17.6331i −0.894183 + 0.597474i
\(872\) 3.92177 43.3585i 0.132808 1.46831i
\(873\) 12.9314 19.3532i 0.437662 0.655007i
\(874\) 6.84401 + 29.0037i 0.231502 + 0.981065i
\(875\) 3.28523 2.69612i 0.111061 0.0911455i
\(876\) −9.93903 58.2715i −0.335809 1.96881i
\(877\) −40.3414 + 21.5630i −1.36223 + 0.728129i −0.980570 0.196172i \(-0.937149\pi\)
−0.381664 + 0.924301i \(0.624649\pi\)
\(878\) 39.3441 22.8549i 1.32780 0.771316i
\(879\) −24.4442 59.0136i −0.824483 1.99048i
\(880\) 0.321542 5.85928i 0.0108392 0.197516i
\(881\) −13.4379 + 32.4419i −0.452733 + 1.09299i 0.518546 + 0.855050i \(0.326474\pi\)
−0.971279 + 0.237944i \(0.923526\pi\)
\(882\) −6.98923 52.0201i −0.235340 1.75161i
\(883\) −9.89360 + 32.6148i −0.332946 + 1.09758i 0.617470 + 0.786595i \(0.288158\pi\)
−0.950416 + 0.310982i \(0.899342\pi\)
\(884\) −26.6352 + 25.2136i −0.895839 + 0.848026i
\(885\) 4.99787 + 0.492247i 0.168001 + 0.0165467i
\(886\) −9.07657 12.5955i −0.304933 0.423155i
\(887\) −2.64350 13.2898i −0.0887602 0.446228i −0.999451 0.0331384i \(-0.989450\pi\)
0.910691 0.413089i \(-0.135550\pi\)
\(888\) −17.0343 3.24740i −0.571633 0.108976i
\(889\) −13.0305 2.59192i −0.437028 0.0869302i
\(890\) 17.2269 + 6.43156i 0.577448 + 0.215586i
\(891\) −10.9618 + 3.32522i −0.367233 + 0.111399i
\(892\) −1.86456 + 14.7687i −0.0624299 + 0.494493i
\(893\) 24.1438 29.4193i 0.807940 0.984478i
\(894\) 2.78593 + 8.13599i 0.0931753 + 0.272108i
\(895\) −5.42309 −0.181274
\(896\) 24.8114 + 41.1862i 0.828891 + 1.37594i
\(897\) 46.3280 1.54685
\(898\) 11.7111 + 34.2010i 0.390804 + 1.14130i
\(899\) −0.264116 + 0.321826i −0.00880875 + 0.0107335i
\(900\) −6.65750 0.840512i −0.221917 0.0280171i
\(901\) −34.2878 + 10.4011i −1.14229 + 0.346510i
\(902\) 20.2429 + 7.55756i 0.674016 + 0.251639i
\(903\) −23.1436 4.60354i −0.770170 0.153196i
\(904\) 29.1694 + 42.9106i 0.970158 + 1.42719i
\(905\) 4.28252 + 21.5297i 0.142356 + 0.715671i
\(906\) 19.2886 + 26.7667i 0.640820 + 0.889264i
\(907\) 27.0823 + 2.66738i 0.899254 + 0.0885688i 0.537070 0.843538i \(-0.319531\pi\)
0.362184 + 0.932107i \(0.382031\pi\)
\(908\) −31.3254 33.0916i −1.03957 1.09818i
\(909\) 5.51451 18.1789i 0.182905 0.602956i
\(910\) −3.08303 22.9467i −0.102201 0.760674i
\(911\) 6.77049 16.3454i 0.224316 0.541547i −0.771151 0.636652i \(-0.780319\pi\)
0.995467 + 0.0951049i \(0.0303186\pi\)
\(912\) −40.1545 19.2742i −1.32965 0.638234i
\(913\) −4.28253 10.3390i −0.141731 0.342169i
\(914\) −3.50873 + 2.03822i −0.116059 + 0.0674182i
\(915\) 20.0767 10.7312i 0.663714 0.354763i
\(916\) −29.7220 + 5.06951i −0.982043 + 0.167501i
\(917\) 32.9001 27.0004i 1.08646 0.891633i
\(918\) −1.38439 5.86679i −0.0456916 0.193633i
\(919\) 25.6784 38.4305i 0.847053 1.26770i −0.114594 0.993412i \(-0.536557\pi\)
0.961647 0.274292i \(-0.0884434\pi\)
\(920\) 8.64288 + 10.3618i 0.284947 + 0.341620i
\(921\) 63.3494 42.3287i 2.08743 1.39478i
\(922\) 60.3839 2.13738i 1.98864 0.0703910i
\(923\) 35.5796 + 19.0177i 1.17112 + 0.625975i
\(924\) −9.94609 + 29.8199i −0.327202 + 0.981003i
\(925\) 0.238379 + 2.42031i 0.00783787 + 0.0795792i
\(926\) 18.5303 + 1.16510i 0.608943 + 0.0382877i
\(927\) −21.7815 21.7815i −0.715400 0.715400i
\(928\) 45.4163 8.11943i 1.49086 0.266533i
\(929\) −1.13988 + 1.13988i −0.0373982 + 0.0373982i −0.725559 0.688160i \(-0.758419\pi\)
0.688160 + 0.725559i \(0.258419\pi\)
\(930\) 0.136508 0.120357i 0.00447626 0.00394666i
\(931\) −48.6255 + 4.78919i −1.59364 + 0.156959i
\(932\) 1.66776 + 23.5287i 0.0546291 + 0.770707i
\(933\) 15.2899 28.6053i 0.500568 0.936497i
\(934\) −24.3254 22.6622i −0.795952 0.741531i
\(935\) −3.87994 5.80674i −0.126888 0.189901i
\(936\) −22.9654 + 28.4428i −0.750649 + 0.929681i
\(937\) −26.1291 17.4589i −0.853602 0.570359i 0.0499915 0.998750i \(-0.484081\pi\)
−0.903593 + 0.428391i \(0.859081\pi\)
\(938\) 42.1214 + 26.0378i 1.37531 + 0.850165i
\(939\) 23.8523 + 29.0641i 0.778390 + 0.948470i
\(940\) 3.82381 16.8027i 0.124719 0.548042i
\(941\) −15.9157 29.7762i −0.518838 0.970678i −0.995783 0.0917443i \(-0.970756\pi\)
0.476945 0.878933i \(-0.341744\pi\)
\(942\) −33.6822 8.92926i −1.09742 0.290931i
\(943\) −45.9032 + 19.0137i −1.49481 + 0.619172i
\(944\) 7.96103 0.345345i 0.259109 0.0112400i
\(945\) 3.51560 + 1.45621i 0.114362 + 0.0473705i
\(946\) 3.63257 + 2.77207i 0.118105 + 0.0901276i
\(947\) −9.10341 2.76149i −0.295821 0.0897363i 0.138886 0.990308i \(-0.455648\pi\)
−0.434707 + 0.900572i \(0.643148\pi\)
\(948\) 3.52998 7.90226i 0.114648 0.256654i
\(949\) −4.42691 + 44.9472i −0.143704 + 1.45905i
\(950\) −1.00118 + 6.16592i −0.0324825 + 0.200049i
\(951\) 49.3032 9.80702i 1.59877 0.318014i
\(952\) 53.0405 + 21.4764i 1.71905 + 0.696054i
\(953\) 7.81292 39.2782i 0.253085 1.27235i −0.619931 0.784656i \(-0.712840\pi\)
0.873017 0.487690i \(-0.162160\pi\)
\(954\) −32.4911 + 14.8257i −1.05194 + 0.480000i
\(955\) 0.0799908 + 0.263694i 0.00258844 + 0.00853294i
\(956\) −32.5940 18.5879i −1.05416 0.601176i
\(957\) 23.3160 + 19.1350i 0.753701 + 0.618546i
\(958\) 1.25165 2.55518i 0.0404389 0.0825541i
\(959\) 50.2536i 1.62277i
\(960\) −20.1650 + 0.321480i −0.650823 + 0.0103757i
\(961\) 30.9974i 0.999916i
\(962\) 11.8984 + 5.82839i 0.383620 + 0.187915i
\(963\) −39.7967 32.6603i −1.28243 1.05246i
\(964\) −5.51748 20.1623i −0.177706 0.649385i
\(965\) 7.60514 + 25.0708i 0.244818 + 0.807057i
\(966\) −30.0061 65.7596i −0.965431 2.11578i
\(967\) 8.52080 42.8370i 0.274010 1.37754i −0.561230 0.827660i \(-0.689672\pi\)
0.835241 0.549884i \(-0.185328\pi\)
\(968\) −17.5541 + 17.8362i −0.564209 + 0.573276i
\(969\) −51.9900 + 10.3415i −1.67016 + 0.332216i
\(970\) −9.68402 1.57242i −0.310935 0.0504874i
\(971\) −3.69374 + 37.5032i −0.118538 + 1.20354i 0.733365 + 0.679835i \(0.237949\pi\)
−0.851903 + 0.523700i \(0.824551\pi\)
\(972\) 15.9823 + 41.7891i 0.512633 + 1.34038i
\(973\) 24.5999 + 7.46229i 0.788635 + 0.239230i
\(974\) −0.107543 + 0.140927i −0.00344591 + 0.00451559i
\(975\) 8.97197 + 3.71631i 0.287333 + 0.119017i
\(976\) 29.1355 21.3504i 0.932604 0.683411i
\(977\) −24.2968 + 10.0641i −0.777324 + 0.321978i −0.735835 0.677161i \(-0.763210\pi\)
−0.0414891 + 0.999139i \(0.513210\pi\)
\(978\) −14.4546 + 54.5242i −0.462206 + 1.74349i
\(979\) 8.99191 + 16.8227i 0.287383 + 0.537655i
\(980\) −18.7251 + 11.7824i −0.598151 + 0.376376i
\(981\) −32.7622 39.9208i −1.04602 1.27457i
\(982\) −8.90655 + 14.4081i −0.284219 + 0.459782i
\(983\) −7.99092 5.33936i −0.254871 0.170299i 0.421571 0.906795i \(-0.361479\pi\)
−0.676442 + 0.736496i \(0.736479\pi\)
\(984\) 20.9899 71.2336i 0.669135 2.27084i
\(985\) 6.20562 + 9.28737i 0.197728 + 0.295920i
\(986\) 37.4278 40.1746i 1.19194 1.27942i
\(987\) −43.5154 + 81.4117i −1.38511 + 2.59136i
\(988\) 25.7046 + 22.3018i 0.817772 + 0.709515i
\(989\) −10.4565 + 1.02988i −0.332497 + 0.0327481i
\(990\) −4.60355 5.22129i −0.146310 0.165944i
\(991\) −28.9446 + 28.9446i −0.919456 + 0.919456i −0.996990 0.0775339i \(-0.975295\pi\)
0.0775339 + 0.996990i \(0.475295\pi\)
\(992\) 0.187494 0.219614i 0.00595295 0.00697275i
\(993\) 15.6778 + 15.6778i 0.497519 + 0.497519i
\(994\) 3.94988 62.8206i 0.125283 1.99255i
\(995\) 2.46721 + 25.0500i 0.0782159 + 0.794140i
\(996\) −34.4035 + 17.1938i −1.09012 + 0.544806i
\(997\) −22.5838 12.0713i −0.715235 0.382301i 0.0732844 0.997311i \(-0.476652\pi\)
−0.788519 + 0.615010i \(0.789152\pi\)
\(998\) −1.30640 36.9075i −0.0413533 1.16829i
\(999\) −1.81057 + 1.20979i −0.0572840 + 0.0382760i
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 640.2.bm.a.341.58 1024
128.125 even 32 inner 640.2.bm.a.381.58 yes 1024
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
640.2.bm.a.341.58 1024 1.1 even 1 trivial
640.2.bm.a.381.58 yes 1024 128.125 even 32 inner