Properties

Label 350.2.x.a.117.1
Level $350$
Weight $2$
Character 350.117
Analytic conductor $2.795$
Analytic rank $0$
Dimension $320$
Inner twists $4$

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Show commands: Magma / Pari/GP / SageMath

Newspace parameters

Copy content comment:Compute space of new eigenforms
 
Copy content gp:[N,k,chi] = [350,2,Mod(3,350)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)
 
Copy content magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("350.3"); S:= CuspForms(chi, 2); N := Newforms(S);
 
Copy content sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(350, base_ring=CyclotomicField(60)) chi = DirichletCharacter(H, H._module([21, 10])) N = Newforms(chi, 2, names="a")
 
Level: \( N \) \(=\) \( 350 = 2 \cdot 5^{2} \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 350.x (of order \(60\), degree \(16\), minimal)

Newform invariants

Copy content comment:select newform
 
Copy content sage:traces = [] f = next(g for g in N if [g.coefficient(i+1).trace() for i in range(0)] == traces)
 
Copy content gp:f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(2.79476407074\)
Analytic rank: \(0\)
Dimension: \(320\)
Relative dimension: \(20\) over \(\Q(\zeta_{60})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{60}]$

Embedding invariants

Embedding label 117.1
Character \(\chi\) \(=\) 350.117
Dual form 350.2.x.a.3.1

$q$-expansion

Copy content comment:q-expansion
 
Copy content sage:f.q_expansion() # note that sage often uses an isomorphic number field
 
Copy content gp:mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.544639 - 0.838671i) q^{2} +(-1.15652 - 3.01283i) q^{3} +(-0.406737 + 0.913545i) q^{4} +(-1.77963 + 1.35386i) q^{5} +(-1.89689 + 2.61084i) q^{6} +(-0.00275235 - 2.64575i) q^{7} +(0.987688 - 0.156434i) q^{8} +(-5.51019 + 4.96140i) q^{9} +(2.10469 + 0.755156i) q^{10} +(0.696124 - 0.773125i) q^{11} +(3.22276 + 0.168898i) q^{12} +(-3.97493 + 2.02533i) q^{13} +(-2.21741 + 1.44329i) q^{14} +(6.13712 + 3.79595i) q^{15} +(-0.669131 - 0.743145i) q^{16} +(1.70623 + 2.10702i) q^{17} +(7.16204 + 1.91906i) q^{18} +(-2.97009 + 1.32237i) q^{19} +(-0.512972 - 2.17643i) q^{20} +(-7.96802 + 3.06815i) q^{21} +(-1.02753 - 0.162745i) q^{22} +(4.00771 - 2.60264i) q^{23} +(-1.61359 - 2.79482i) q^{24} +(1.33414 - 4.81872i) q^{25} +(3.86349 + 2.23059i) q^{26} +(12.6942 + 6.46801i) q^{27} +(2.41813 + 1.07361i) q^{28} +(2.96953 + 4.08721i) q^{29} +(-0.158959 - 7.21444i) q^{30} +(-5.23139 - 0.549842i) q^{31} +(-0.258819 + 0.965926i) q^{32} +(-3.13438 - 1.20317i) q^{33} +(0.837815 - 2.57853i) q^{34} +(3.58687 + 4.70472i) q^{35} +(-2.29127 - 7.05179i) q^{36} +(0.133100 - 2.53970i) q^{37} +(2.72666 + 1.77072i) q^{38} +(10.6991 + 9.63348i) q^{39} +(-1.54593 + 1.61558i) q^{40} +(1.71718 + 0.557946i) q^{41} +(6.91286 + 5.01151i) q^{42} +(-4.92704 + 4.92704i) q^{43} +(0.423145 + 0.950399i) q^{44} +(3.08905 - 16.2894i) q^{45} +(-4.36551 - 1.94365i) q^{46} +(-9.14075 - 7.40204i) q^{47} +(-1.46511 + 2.87544i) q^{48} +(-6.99998 + 0.0145640i) q^{49} +(-4.76794 + 1.50556i) q^{50} +(4.37481 - 7.57739i) q^{51} +(-0.233480 - 4.45506i) q^{52} +(-6.25807 + 2.40225i) q^{53} +(-1.48922 - 14.1690i) q^{54} +(-0.192140 + 2.31833i) q^{55} +(-0.416605 - 2.61275i) q^{56} +(7.41905 + 7.41905i) q^{57} +(1.81050 - 4.71651i) q^{58} +(-13.2080 + 2.80746i) q^{59} +(-5.96397 + 4.06258i) q^{60} +(-0.578601 + 2.72210i) q^{61} +(2.38808 + 4.68688i) q^{62} +(13.1418 + 14.5649i) q^{63} +(0.951057 - 0.309017i) q^{64} +(4.33188 - 8.98582i) q^{65} +(0.698037 + 3.28400i) q^{66} +(-4.15021 + 3.36077i) q^{67} +(-2.61884 + 0.701717i) q^{68} +(-12.4763 - 9.06456i) q^{69} +(1.99216 - 5.57057i) q^{70} +(6.39697 - 4.64767i) q^{71} +(-4.66622 + 5.76230i) q^{72} +(-16.7907 + 0.879961i) q^{73} +(-2.20246 + 1.27159i) q^{74} +(-16.0610 + 1.55341i) q^{75} -3.25117i q^{76} +(-2.04741 - 1.83964i) q^{77} +(2.25219 - 14.2198i) q^{78} +(-11.8413 + 1.24458i) q^{79} +(2.19691 + 0.416612i) q^{80} +(2.48084 - 23.6036i) q^{81} +(-0.467311 - 1.74403i) q^{82} +(0.547617 + 3.45752i) q^{83} +(0.437991 - 8.52708i) q^{84} +(-5.88906 - 1.43971i) q^{85} +(6.81562 + 1.44871i) q^{86} +(8.87976 - 13.6736i) q^{87} +(0.566611 - 0.872504i) q^{88} +(11.4050 + 2.42420i) q^{89} +(-15.3439 + 6.28118i) q^{90} +(5.36946 + 10.5111i) q^{91} +(0.747545 + 4.71981i) q^{92} +(4.39362 + 16.3972i) q^{93} +(-1.22946 + 11.6975i) q^{94} +(3.49535 - 6.37441i) q^{95} +(3.20950 - 0.337332i) q^{96} +(0.878465 - 5.54641i) q^{97} +(3.82468 + 5.86275i) q^{98} +7.71381i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 320 q + 12 q^{5} - 8 q^{7} + 12 q^{10} - 16 q^{15} - 40 q^{16} + 36 q^{17} + 8 q^{18} - 72 q^{22} + 44 q^{23} - 12 q^{25} - 24 q^{28} - 80 q^{29} + 20 q^{30} - 48 q^{33} - 28 q^{35} + 80 q^{36} - 4 q^{37}+ \cdots - 40 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/350\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(127\)
\(\chi(n)\) \(e\left(\frac{5}{6}\right)\) \(e\left(\frac{13}{20}\right)\)

Coefficient data

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



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.544639 0.838671i −0.385118 0.593030i
\(3\) −1.15652 3.01283i −0.667716 1.73946i −0.673184 0.739475i \(-0.735074\pi\)
0.00546846 0.999985i \(-0.498259\pi\)
\(4\) −0.406737 + 0.913545i −0.203368 + 0.456773i
\(5\) −1.77963 + 1.35386i −0.795873 + 0.605464i
\(6\) −1.89689 + 2.61084i −0.774402 + 1.06587i
\(7\) −0.00275235 2.64575i −0.00104029 0.999999i
\(8\) 0.987688 0.156434i 0.349201 0.0553079i
\(9\) −5.51019 + 4.96140i −1.83673 + 1.65380i
\(10\) 2.10469 + 0.755156i 0.665563 + 0.238801i
\(11\) 0.696124 0.773125i 0.209889 0.233106i −0.629003 0.777403i \(-0.716537\pi\)
0.838893 + 0.544297i \(0.183203\pi\)
\(12\) 3.22276 + 0.168898i 0.930330 + 0.0487565i
\(13\) −3.97493 + 2.02533i −1.10245 + 0.561725i −0.907908 0.419169i \(-0.862321\pi\)
−0.194540 + 0.980895i \(0.562321\pi\)
\(14\) −2.21741 + 1.44329i −0.592629 + 0.385735i
\(15\) 6.13712 + 3.79595i 1.58460 + 0.980111i
\(16\) −0.669131 0.743145i −0.167283 0.185786i
\(17\) 1.70623 + 2.10702i 0.413822 + 0.511027i 0.940851 0.338820i \(-0.110028\pi\)
−0.527030 + 0.849847i \(0.676694\pi\)
\(18\) 7.16204 + 1.91906i 1.68811 + 0.452328i
\(19\) −2.97009 + 1.32237i −0.681386 + 0.303373i −0.718087 0.695954i \(-0.754982\pi\)
0.0367005 + 0.999326i \(0.488315\pi\)
\(20\) −0.512972 2.17643i −0.114704 0.486665i
\(21\) −7.96802 + 3.06815i −1.73876 + 0.669525i
\(22\) −1.02753 0.162745i −0.219071 0.0346974i
\(23\) 4.00771 2.60264i 0.835665 0.542687i −0.0544007 0.998519i \(-0.517325\pi\)
0.890066 + 0.455832i \(0.150658\pi\)
\(24\) −1.61359 2.79482i −0.329373 0.570490i
\(25\) 1.33414 4.81872i 0.266827 0.963744i
\(26\) 3.86349 + 2.23059i 0.757692 + 0.437454i
\(27\) 12.6942 + 6.46801i 2.44300 + 1.24477i
\(28\) 2.41813 + 1.07361i 0.456984 + 0.202893i
\(29\) 2.96953 + 4.08721i 0.551428 + 0.758976i 0.990205 0.139620i \(-0.0445881\pi\)
−0.438777 + 0.898596i \(0.644588\pi\)
\(30\) −0.158959 7.21444i −0.0290219 1.31717i
\(31\) −5.23139 0.549842i −0.939586 0.0987545i −0.377662 0.925943i \(-0.623272\pi\)
−0.561924 + 0.827189i \(0.689939\pi\)
\(32\) −0.258819 + 0.965926i −0.0457532 + 0.170753i
\(33\) −3.13438 1.20317i −0.545625 0.209446i
\(34\) 0.837815 2.57853i 0.143684 0.442214i
\(35\) 3.58687 + 4.70472i 0.606291 + 0.795243i
\(36\) −2.29127 7.05179i −0.381878 1.17530i
\(37\) 0.133100 2.53970i 0.0218815 0.417524i −0.965624 0.259941i \(-0.916297\pi\)
0.987506 0.157582i \(-0.0503699\pi\)
\(38\) 2.72666 + 1.77072i 0.442323 + 0.287248i
\(39\) 10.6991 + 9.63348i 1.71322 + 1.54259i
\(40\) −1.54593 + 1.61558i −0.244432 + 0.255446i
\(41\) 1.71718 + 0.557946i 0.268178 + 0.0871365i 0.440019 0.897988i \(-0.354972\pi\)
−0.171841 + 0.985125i \(0.554972\pi\)
\(42\) 6.91286 + 5.01151i 1.06668 + 0.773292i
\(43\) −4.92704 + 4.92704i −0.751367 + 0.751367i −0.974734 0.223368i \(-0.928295\pi\)
0.223368 + 0.974734i \(0.428295\pi\)
\(44\) 0.423145 + 0.950399i 0.0637915 + 0.143278i
\(45\) 3.08905 16.2894i 0.460488 2.42829i
\(46\) −4.36551 1.94365i −0.643659 0.286576i
\(47\) −9.14075 7.40204i −1.33332 1.07970i −0.990088 0.140445i \(-0.955147\pi\)
−0.343227 0.939252i \(-0.611520\pi\)
\(48\) −1.46511 + 2.87544i −0.211470 + 0.415034i
\(49\) −6.99998 + 0.0145640i −0.999998 + 0.00208058i
\(50\) −4.76794 + 1.50556i −0.674289 + 0.212919i
\(51\) 4.37481 7.57739i 0.612596 1.06105i
\(52\) −0.233480 4.45506i −0.0323778 0.617805i
\(53\) −6.25807 + 2.40225i −0.859612 + 0.329974i −0.747936 0.663771i \(-0.768955\pi\)
−0.111676 + 0.993745i \(0.535622\pi\)
\(54\) −1.48922 14.1690i −0.202657 1.92815i
\(55\) −0.192140 + 2.31833i −0.0259082 + 0.312603i
\(56\) −0.416605 2.61275i −0.0556712 0.349143i
\(57\) 7.41905 + 7.41905i 0.982677 + 0.982677i
\(58\) 1.81050 4.71651i 0.237730 0.619309i
\(59\) −13.2080 + 2.80746i −1.71954 + 0.365500i −0.958915 0.283692i \(-0.908441\pi\)
−0.760625 + 0.649192i \(0.775107\pi\)
\(60\) −5.96397 + 4.06258i −0.769945 + 0.524477i
\(61\) −0.578601 + 2.72210i −0.0740822 + 0.348530i −0.999540 0.0303207i \(-0.990347\pi\)
0.925458 + 0.378850i \(0.123680\pi\)
\(62\) 2.38808 + 4.68688i 0.303287 + 0.595234i
\(63\) 13.1418 + 14.5649i 1.65571 + 1.83501i
\(64\) 0.951057 0.309017i 0.118882 0.0386271i
\(65\) 4.33188 8.98582i 0.537304 1.11455i
\(66\) 0.698037 + 3.28400i 0.0859224 + 0.404233i
\(67\) −4.15021 + 3.36077i −0.507029 + 0.410584i −0.848409 0.529342i \(-0.822439\pi\)
0.341380 + 0.939925i \(0.389106\pi\)
\(68\) −2.61884 + 0.701717i −0.317581 + 0.0850957i
\(69\) −12.4763 9.06456i −1.50197 1.09124i
\(70\) 1.99216 5.57057i 0.238109 0.665811i
\(71\) 6.39697 4.64767i 0.759181 0.551577i −0.139478 0.990225i \(-0.544542\pi\)
0.898659 + 0.438648i \(0.144542\pi\)
\(72\) −4.66622 + 5.76230i −0.549919 + 0.679093i
\(73\) −16.7907 + 0.879961i −1.96520 + 0.102992i −0.991939 0.126719i \(-0.959555\pi\)
−0.973259 + 0.229710i \(0.926222\pi\)
\(74\) −2.20246 + 1.27159i −0.256031 + 0.147820i
\(75\) −16.0610 + 1.55341i −1.85456 + 0.179372i
\(76\) 3.25117i 0.372935i
\(77\) −2.04741 1.83964i −0.233324 0.209647i
\(78\) 2.25219 14.2198i 0.255010 1.61007i
\(79\) −11.8413 + 1.24458i −1.33226 + 0.140026i −0.743745 0.668464i \(-0.766952\pi\)
−0.588511 + 0.808490i \(0.700285\pi\)
\(80\) 2.19691 + 0.416612i 0.245623 + 0.0465786i
\(81\) 2.48084 23.6036i 0.275649 2.62262i
\(82\) −0.467311 1.74403i −0.0516058 0.192596i
\(83\) 0.547617 + 3.45752i 0.0601088 + 0.379512i 0.999343 + 0.0362356i \(0.0115367\pi\)
−0.939235 + 0.343276i \(0.888463\pi\)
\(84\) 0.437991 8.52708i 0.0477887 0.930380i
\(85\) −5.88906 1.43971i −0.638758 0.156159i
\(86\) 6.81562 + 1.44871i 0.734948 + 0.156218i
\(87\) 8.87976 13.6736i 0.952011 1.46597i
\(88\) 0.566611 0.872504i 0.0604009 0.0930092i
\(89\) 11.4050 + 2.42420i 1.20893 + 0.256965i 0.767924 0.640541i \(-0.221290\pi\)
0.441002 + 0.897506i \(0.354623\pi\)
\(90\) −15.3439 + 6.28118i −1.61739 + 0.662094i
\(91\) 5.36946 + 10.5111i 0.562872 + 1.10186i
\(92\) 0.747545 + 4.71981i 0.0779369 + 0.492074i
\(93\) 4.39362 + 16.3972i 0.455597 + 1.70031i
\(94\) −1.22946 + 11.6975i −0.126809 + 1.20651i
\(95\) 3.49535 6.37441i 0.358616 0.654001i
\(96\) 3.20950 0.337332i 0.327568 0.0344288i
\(97\) 0.878465 5.54641i 0.0891946 0.563153i −0.902104 0.431519i \(-0.857978\pi\)
0.991298 0.131634i \(-0.0420222\pi\)
\(98\) 3.82468 + 5.86275i 0.386351 + 0.592227i
\(99\) 7.71381i 0.775268i
\(100\) 3.85948 + 3.17875i 0.385948 + 0.317875i
\(101\) 16.2110 9.35943i 1.61305 0.931298i 0.624398 0.781106i \(-0.285344\pi\)
0.988657 0.150191i \(-0.0479890\pi\)
\(102\) −8.73763 + 0.457920i −0.865154 + 0.0453408i
\(103\) 10.2302 12.6332i 1.00801 1.24479i 0.0386219 0.999254i \(-0.487703\pi\)
0.969388 0.245534i \(-0.0789635\pi\)
\(104\) −3.60916 + 2.62221i −0.353908 + 0.257129i
\(105\) 10.0263 16.2477i 0.978462 1.58562i
\(106\) 5.42308 + 3.94010i 0.526736 + 0.382696i
\(107\) 3.51372 0.941500i 0.339685 0.0910182i −0.0849443 0.996386i \(-0.527071\pi\)
0.424629 + 0.905367i \(0.360405\pi\)
\(108\) −11.0720 + 8.96594i −1.06540 + 0.862748i
\(109\) −0.830506 3.90722i −0.0795481 0.374244i 0.920308 0.391194i \(-0.127938\pi\)
−0.999856 + 0.0169497i \(0.994604\pi\)
\(110\) 2.04896 1.10151i 0.195361 0.105025i
\(111\) −7.80562 + 2.53620i −0.740876 + 0.240725i
\(112\) −1.96433 + 1.77240i −0.185612 + 0.167476i
\(113\) −2.52013 4.94603i −0.237074 0.465284i 0.741562 0.670884i \(-0.234085\pi\)
−0.978636 + 0.205601i \(0.934085\pi\)
\(114\) 2.18143 10.2628i 0.204310 0.961203i
\(115\) −3.60862 + 10.0576i −0.336506 + 0.937875i
\(116\) −4.94167 + 1.05038i −0.458823 + 0.0975258i
\(117\) 11.8542 30.8812i 1.09592 2.85497i
\(118\) 9.54814 + 9.54814i 0.878978 + 0.878978i
\(119\) 5.56995 4.52006i 0.510596 0.414353i
\(120\) 6.65538 + 2.78916i 0.607550 + 0.254615i
\(121\) 1.03668 + 9.86336i 0.0942437 + 0.896669i
\(122\) 2.59808 0.997308i 0.235219 0.0902920i
\(123\) −0.304953 5.81885i −0.0274967 0.524668i
\(124\) 2.63010 4.55547i 0.236190 0.409094i
\(125\) 4.14960 + 10.3818i 0.371152 + 0.928572i
\(126\) 5.05765 18.9543i 0.450571 1.68858i
\(127\) 4.00141 7.85320i 0.355067 0.696859i −0.642521 0.766268i \(-0.722111\pi\)
0.997588 + 0.0694091i \(0.0221114\pi\)
\(128\) −0.777146 0.629320i −0.0686906 0.0556246i
\(129\) 20.5426 + 9.14614i 1.80867 + 0.805272i
\(130\) −9.89546 + 1.26101i −0.867889 + 0.110598i
\(131\) 2.22283 + 4.99256i 0.194210 + 0.436202i 0.984233 0.176874i \(-0.0565986\pi\)
−0.790024 + 0.613076i \(0.789932\pi\)
\(132\) 2.37402 2.37402i 0.206632 0.206632i
\(133\) 3.50684 + 7.85449i 0.304081 + 0.681070i
\(134\) 5.07895 + 1.65025i 0.438754 + 0.142560i
\(135\) −31.3477 + 5.67549i −2.69798 + 0.488468i
\(136\) 2.01483 + 1.81416i 0.172771 + 0.155563i
\(137\) −12.2908 7.98172i −1.05007 0.681925i −0.100329 0.994954i \(-0.531989\pi\)
−0.949743 + 0.313030i \(0.898656\pi\)
\(138\) −0.807102 + 15.4004i −0.0687051 + 1.31097i
\(139\) −3.54013 10.8954i −0.300270 0.924136i −0.981400 0.191974i \(-0.938511\pi\)
0.681130 0.732163i \(-0.261489\pi\)
\(140\) −5.75689 + 1.36319i −0.486546 + 0.115210i
\(141\) −11.7296 + 36.1001i −0.987815 + 3.04018i
\(142\) −7.38191 2.83365i −0.619476 0.237795i
\(143\) −1.20122 + 4.48300i −0.100451 + 0.374887i
\(144\) 7.37408 + 0.775047i 0.614506 + 0.0645872i
\(145\) −10.8182 3.25338i −0.898399 0.270179i
\(146\) 9.88284 + 13.6026i 0.817910 + 1.12576i
\(147\) 8.13949 + 21.0729i 0.671334 + 1.73807i
\(148\) 2.26599 + 1.15458i 0.186263 + 0.0949060i
\(149\) −6.23582 3.60025i −0.510858 0.294944i 0.222328 0.974972i \(-0.428634\pi\)
−0.733186 + 0.680028i \(0.761968\pi\)
\(150\) 10.0502 + 12.6238i 0.820597 + 1.03073i
\(151\) −2.71980 4.71084i −0.221334 0.383362i 0.733879 0.679280i \(-0.237708\pi\)
−0.955213 + 0.295918i \(0.904375\pi\)
\(152\) −2.72666 + 1.77072i −0.221162 + 0.143624i
\(153\) −19.8554 3.14479i −1.60522 0.254241i
\(154\) −0.427755 + 2.71904i −0.0344695 + 0.219107i
\(155\) 10.0543 6.10405i 0.807583 0.490289i
\(156\) −13.1523 + 5.85579i −1.05303 + 0.468838i
\(157\) −13.1208 3.51571i −1.04715 0.280584i −0.306079 0.952006i \(-0.599017\pi\)
−0.741075 + 0.671422i \(0.765684\pi\)
\(158\) 7.49305 + 9.25314i 0.596115 + 0.736140i
\(159\) 14.4751 + 16.0763i 1.14795 + 1.27493i
\(160\) −0.847125 2.06939i −0.0669711 0.163600i
\(161\) −6.89696 10.5962i −0.543556 0.835100i
\(162\) −21.1468 + 10.7748i −1.66145 + 0.846551i
\(163\) 10.1717 + 0.533076i 0.796709 + 0.0417537i 0.446346 0.894860i \(-0.352725\pi\)
0.350363 + 0.936614i \(0.386058\pi\)
\(164\) −1.20815 + 1.34178i −0.0943406 + 0.104776i
\(165\) 7.20694 2.10230i 0.561060 0.163664i
\(166\) 2.60146 2.34237i 0.201913 0.181803i
\(167\) −7.21112 + 1.14213i −0.558013 + 0.0883806i −0.429070 0.903271i \(-0.641159\pi\)
−0.128943 + 0.991652i \(0.541159\pi\)
\(168\) −7.38995 + 4.27685i −0.570147 + 0.329966i
\(169\) 4.05693 5.58388i 0.312071 0.429529i
\(170\) 1.99997 + 5.72310i 0.153390 + 0.438942i
\(171\) 9.80498 22.0223i 0.749805 1.68409i
\(172\) −2.49707 6.50508i −0.190400 0.496008i
\(173\) 1.04287 + 1.60588i 0.0792881 + 0.122093i 0.876090 0.482148i \(-0.160143\pi\)
−0.796802 + 0.604241i \(0.793477\pi\)
\(174\) −16.3039 −1.23600
\(175\) −12.7528 3.51653i −0.964021 0.265825i
\(176\) −1.04034 −0.0784187
\(177\) 23.7337 + 36.5467i 1.78394 + 2.74702i
\(178\) −4.17849 10.8853i −0.313191 0.815891i
\(179\) −4.56303 + 10.2487i −0.341057 + 0.766026i 0.658849 + 0.752276i \(0.271044\pi\)
−0.999905 + 0.0137506i \(0.995623\pi\)
\(180\) 13.6247 + 9.44750i 1.01553 + 0.704175i
\(181\) 1.45274 1.99952i 0.107981 0.148623i −0.751606 0.659612i \(-0.770721\pi\)
0.859587 + 0.510989i \(0.170721\pi\)
\(182\) 5.89094 10.2280i 0.436665 0.758147i
\(183\) 8.87040 1.40493i 0.655719 0.103856i
\(184\) 3.55123 3.19754i 0.261800 0.235726i
\(185\) 3.20152 + 4.69991i 0.235381 + 0.345544i
\(186\) 11.3589 12.6154i 0.832877 0.925003i
\(187\) 2.81674 + 0.147619i 0.205980 + 0.0107950i
\(188\) 10.4800 5.33981i 0.764331 0.389446i
\(189\) 17.0778 33.6034i 1.24223 2.44429i
\(190\) −7.24974 + 0.540303i −0.525951 + 0.0391977i
\(191\) −6.26834 6.96170i −0.453561 0.503731i 0.472382 0.881394i \(-0.343394\pi\)
−0.925943 + 0.377663i \(0.876728\pi\)
\(192\) −2.03093 2.50799i −0.146570 0.180999i
\(193\) 11.8247 + 3.16842i 0.851160 + 0.228068i 0.657924 0.753084i \(-0.271435\pi\)
0.193237 + 0.981152i \(0.438102\pi\)
\(194\) −5.13006 + 2.28405i −0.368317 + 0.163985i
\(195\) −32.0827 2.65898i −2.29749 0.190413i
\(196\) 2.83385 6.40073i 0.202418 0.457195i
\(197\) 1.78531 + 0.282765i 0.127198 + 0.0201462i 0.219709 0.975566i \(-0.429489\pi\)
−0.0925109 + 0.995712i \(0.529489\pi\)
\(198\) 6.46935 4.20124i 0.459757 0.298569i
\(199\) 4.05105 + 7.01663i 0.287171 + 0.497395i 0.973133 0.230242i \(-0.0739517\pi\)
−0.685962 + 0.727637i \(0.740618\pi\)
\(200\) 0.563897 4.96810i 0.0398735 0.351298i
\(201\) 14.9252 + 8.61709i 1.05275 + 0.607803i
\(202\) −16.6786 8.49818i −1.17350 0.597930i
\(203\) 10.8056 7.86789i 0.758402 0.552218i
\(204\) 5.14290 + 7.07859i 0.360075 + 0.495600i
\(205\) −3.81132 + 1.33188i −0.266194 + 0.0930228i
\(206\) −16.1669 1.69921i −1.12640 0.118389i
\(207\) −9.17053 + 34.2249i −0.637396 + 2.37879i
\(208\) 4.16486 + 1.59874i 0.288781 + 0.110853i
\(209\) −1.04520 + 3.21679i −0.0722978 + 0.222510i
\(210\) −19.0872 + 0.440423i −1.31714 + 0.0303921i
\(211\) −1.31322 4.04166i −0.0904055 0.278239i 0.895624 0.444813i \(-0.146730\pi\)
−0.986029 + 0.166573i \(0.946730\pi\)
\(212\) 0.350824 6.69411i 0.0240947 0.459753i
\(213\) −21.4009 13.8979i −1.46636 0.952268i
\(214\) −2.70332 2.43408i −0.184795 0.166390i
\(215\) 2.09778 15.4388i 0.143067 1.05292i
\(216\) 13.5497 + 4.40257i 0.921941 + 0.299557i
\(217\) −1.44034 + 13.8425i −0.0977770 + 0.939688i
\(218\) −2.82455 + 2.82455i −0.191303 + 0.191303i
\(219\) 22.0699 + 49.5697i 1.49134 + 3.34961i
\(220\) −2.03975 1.11848i −0.137520 0.0754077i
\(221\) −11.0496 4.91958i −0.743274 0.330927i
\(222\) 6.37828 + 5.16503i 0.428082 + 0.346654i
\(223\) 9.82033 19.2735i 0.657618 1.29065i −0.285560 0.958361i \(-0.592180\pi\)
0.943178 0.332287i \(-0.107820\pi\)
\(224\) 2.55631 + 0.682112i 0.170801 + 0.0455755i
\(225\) 16.5563 + 33.1713i 1.10375 + 2.21142i
\(226\) −2.77553 + 4.80736i −0.184626 + 0.319781i
\(227\) 0.111545 + 2.12840i 0.00740348 + 0.141267i 0.999830 + 0.0184285i \(0.00586631\pi\)
−0.992427 + 0.122838i \(0.960800\pi\)
\(228\) −9.79524 + 3.76004i −0.648706 + 0.249015i
\(229\) −3.13883 29.8640i −0.207420 1.97347i −0.227937 0.973676i \(-0.573198\pi\)
0.0205170 0.999790i \(-0.493469\pi\)
\(230\) 10.4004 2.45131i 0.685782 0.161635i
\(231\) −3.17467 + 8.29608i −0.208878 + 0.545842i
\(232\) 3.57235 + 3.57235i 0.234536 + 0.234536i
\(233\) −1.04027 + 2.70999i −0.0681502 + 0.177537i −0.963426 0.267976i \(-0.913645\pi\)
0.895276 + 0.445513i \(0.146979\pi\)
\(234\) −32.3554 + 6.87735i −2.11514 + 0.449586i
\(235\) 26.2884 + 0.797572i 1.71487 + 0.0520278i
\(236\) 2.80746 13.2080i 0.182750 0.859770i
\(237\) 17.4444 + 34.2366i 1.13314 + 2.22391i
\(238\) −6.82445 2.20955i −0.442363 0.143224i
\(239\) −5.42407 + 1.76239i −0.350854 + 0.113999i −0.479142 0.877738i \(-0.659052\pi\)
0.128288 + 0.991737i \(0.459052\pi\)
\(240\) −1.28559 7.10076i −0.0829845 0.458352i
\(241\) 1.73737 + 8.17367i 0.111914 + 0.526512i 0.998013 + 0.0630161i \(0.0200719\pi\)
−0.886099 + 0.463496i \(0.846595\pi\)
\(242\) 7.70749 6.24140i 0.495456 0.401213i
\(243\) −32.6981 + 8.76143i −2.09758 + 0.562046i
\(244\) −2.25143 1.63576i −0.144133 0.104719i
\(245\) 12.4376 9.50290i 0.794611 0.607118i
\(246\) −4.71401 + 3.42493i −0.300554 + 0.218365i
\(247\) 9.12769 11.2718i 0.580781 0.717205i
\(248\) −5.25300 + 0.275298i −0.333566 + 0.0174814i
\(249\) 9.78359 5.64856i 0.620010 0.357963i
\(250\) 6.44684 9.13446i 0.407734 0.577714i
\(251\) 22.1994i 1.40121i 0.713549 + 0.700606i \(0.247087\pi\)
−0.713549 + 0.700606i \(0.752913\pi\)
\(252\) −18.6510 + 6.08153i −1.17490 + 0.383100i
\(253\) 0.777702 4.91022i 0.0488937 0.308703i
\(254\) −8.76557 + 0.921299i −0.550001 + 0.0578074i
\(255\) 2.47319 + 19.4078i 0.154877 + 1.21536i
\(256\) −0.104528 + 0.994522i −0.00653303 + 0.0621576i
\(257\) 1.61424 + 6.02444i 0.100694 + 0.375794i 0.997821 0.0659778i \(-0.0210166\pi\)
−0.897127 + 0.441772i \(0.854350\pi\)
\(258\) −3.51768 22.2098i −0.219001 1.38272i
\(259\) −6.71977 0.345159i −0.417546 0.0214471i
\(260\) 6.44702 + 7.61224i 0.399827 + 0.472091i
\(261\) −36.6410 7.78828i −2.26802 0.482082i
\(262\) 2.97647 4.58337i 0.183887 0.283161i
\(263\) −5.11425 + 7.87525i −0.315358 + 0.485609i −0.960433 0.278510i \(-0.910159\pi\)
0.645075 + 0.764119i \(0.276826\pi\)
\(264\) −3.28400 0.698037i −0.202116 0.0429612i
\(265\) 7.88472 12.7476i 0.484354 0.783081i
\(266\) 4.67737 7.21894i 0.286788 0.442622i
\(267\) −5.88635 37.1649i −0.360239 2.27446i
\(268\) −1.38218 5.15835i −0.0844299 0.315097i
\(269\) 0.143900 1.36912i 0.00877375 0.0834767i −0.989259 0.146175i \(-0.953304\pi\)
0.998033 + 0.0626980i \(0.0199705\pi\)
\(270\) 21.8330 + 23.1993i 1.32872 + 1.41186i
\(271\) 9.07659 0.953988i 0.551363 0.0579506i 0.175249 0.984524i \(-0.443927\pi\)
0.376114 + 0.926573i \(0.377260\pi\)
\(272\) 0.424129 2.67785i 0.0257166 0.162368i
\(273\) 25.4583 28.3336i 1.54081 1.71482i
\(274\) 14.6551i 0.885345i
\(275\) −2.79675 4.38588i −0.168650 0.264479i
\(276\) 13.3555 7.71078i 0.803904 0.464134i
\(277\) −11.3836 + 0.596589i −0.683974 + 0.0358456i −0.391158 0.920323i \(-0.627926\pi\)
−0.292816 + 0.956169i \(0.594592\pi\)
\(278\) −7.20956 + 8.90307i −0.432401 + 0.533971i
\(279\) 31.5540 22.9253i 1.88909 1.37250i
\(280\) 4.27869 + 4.08569i 0.255701 + 0.244166i
\(281\) 20.4483 + 14.8566i 1.21984 + 0.886268i 0.996087 0.0883775i \(-0.0281682\pi\)
0.223756 + 0.974645i \(0.428168\pi\)
\(282\) 36.6646 9.82424i 2.18334 0.585025i
\(283\) −2.81387 + 2.27863i −0.167267 + 0.135450i −0.709299 0.704908i \(-0.750988\pi\)
0.542032 + 0.840358i \(0.317655\pi\)
\(284\) 1.64398 + 7.73430i 0.0975521 + 0.458946i
\(285\) −23.2475 3.15879i −1.37706 0.187111i
\(286\) 4.41399 1.43419i 0.261005 0.0848055i
\(287\) 1.47146 4.54476i 0.0868574 0.268269i
\(288\) −3.36620 6.60654i −0.198355 0.389294i
\(289\) 2.00619 9.43839i 0.118011 0.555199i
\(290\) 3.16348 + 10.8448i 0.185766 + 0.636828i
\(291\) −17.7264 + 3.76786i −1.03914 + 0.220876i
\(292\) 6.02549 15.6969i 0.352615 0.918594i
\(293\) −14.9340 14.9340i −0.872453 0.872453i 0.120286 0.992739i \(-0.461619\pi\)
−0.992739 + 0.120286i \(0.961619\pi\)
\(294\) 13.2402 18.3035i 0.772182 1.06748i
\(295\) 19.7045 22.8780i 1.14724 1.33201i
\(296\) −0.265835 2.52925i −0.0154513 0.147010i
\(297\) 13.8373 5.31164i 0.802922 0.308213i
\(298\) 0.376845 + 7.19063i 0.0218300 + 0.416542i
\(299\) −10.6592 + 18.4622i −0.616436 + 1.06770i
\(300\) 5.11347 15.3042i 0.295226 0.883591i
\(301\) 13.0493 + 13.0222i 0.752148 + 0.750585i
\(302\) −2.46953 + 4.84672i −0.142105 + 0.278898i
\(303\) −46.9467 38.0167i −2.69702 2.18400i
\(304\) 2.97009 + 1.32237i 0.170347 + 0.0758432i
\(305\) −2.65565 5.62767i −0.152062 0.322239i
\(306\) 8.17659 + 18.3649i 0.467425 + 1.04985i
\(307\) −8.22791 + 8.22791i −0.469591 + 0.469591i −0.901782 0.432191i \(-0.857741\pi\)
0.432191 + 0.901782i \(0.357741\pi\)
\(308\) 2.51335 1.12215i 0.143212 0.0639405i
\(309\) −49.8932 16.2113i −2.83832 0.922227i
\(310\) −10.5953 5.10777i −0.601771 0.290102i
\(311\) −1.80050 1.62118i −0.102097 0.0919287i 0.616501 0.787354i \(-0.288549\pi\)
−0.718599 + 0.695425i \(0.755216\pi\)
\(312\) 12.0743 + 7.84117i 0.683575 + 0.443919i
\(313\) 1.23521 23.5693i 0.0698184 1.33221i −0.709108 0.705100i \(-0.750902\pi\)
0.778927 0.627115i \(-0.215764\pi\)
\(314\) 4.19758 + 12.9188i 0.236883 + 0.729051i
\(315\) −43.1063 8.12802i −2.42877 0.457962i
\(316\) 3.67933 11.3238i 0.206979 0.637015i
\(317\) 19.7403 + 7.57758i 1.10872 + 0.425599i 0.842709 0.538370i \(-0.180960\pi\)
0.266015 + 0.963969i \(0.414293\pi\)
\(318\) 5.59897 20.8956i 0.313975 1.17177i
\(319\) 5.22709 + 0.549389i 0.292661 + 0.0307599i
\(320\) −1.27416 + 1.83753i −0.0712277 + 0.102721i
\(321\) −6.90027 9.49740i −0.385135 0.530093i
\(322\) −5.13040 + 11.5554i −0.285906 + 0.643957i
\(323\) −7.85393 4.00178i −0.437004 0.222665i
\(324\) 20.5539 + 11.8668i 1.14188 + 0.659267i
\(325\) 4.45640 + 21.8562i 0.247196 + 1.21236i
\(326\) −5.09283 8.82103i −0.282066 0.488552i
\(327\) −10.8113 + 7.02095i −0.597867 + 0.388259i
\(328\) 1.78332 + 0.282450i 0.0984674 + 0.0155957i
\(329\) −19.5588 + 24.2045i −1.07831 + 1.33444i
\(330\) −5.68832 4.89926i −0.313132 0.269695i
\(331\) −8.58655 + 3.82298i −0.471959 + 0.210130i −0.628912 0.777476i \(-0.716500\pi\)
0.156953 + 0.987606i \(0.449833\pi\)
\(332\) −3.38133 0.906026i −0.185575 0.0497246i
\(333\) 11.8670 + 14.6546i 0.650310 + 0.803066i
\(334\) 4.88533 + 5.42571i 0.267313 + 0.296881i
\(335\) 2.83581 11.5997i 0.154937 0.633760i
\(336\) 7.61172 + 3.86840i 0.415254 + 0.211038i
\(337\) −3.63579 + 1.85253i −0.198054 + 0.100914i −0.550205 0.835030i \(-0.685450\pi\)
0.352151 + 0.935943i \(0.385450\pi\)
\(338\) −6.89259 0.361226i −0.374908 0.0196481i
\(339\) −11.9870 + 13.3129i −0.651044 + 0.723058i
\(340\) 3.71054 4.79434i 0.201232 0.260009i
\(341\) −4.06680 + 3.66176i −0.220229 + 0.198295i
\(342\) −23.8097 + 3.77108i −1.28748 + 0.203917i
\(343\) 0.0577992 + 18.5202i 0.00312086 + 0.999995i
\(344\) −4.09562 + 5.63714i −0.220821 + 0.303934i
\(345\) 34.4753 0.759610i 1.85609 0.0408960i
\(346\) 0.778817 1.74925i 0.0418695 0.0940404i
\(347\) −8.23834 21.4616i −0.442257 1.15212i −0.955790 0.294050i \(-0.904997\pi\)
0.513533 0.858070i \(-0.328336\pi\)
\(348\) 8.87976 + 13.6736i 0.476005 + 0.732984i
\(349\) −24.4907 −1.31096 −0.655479 0.755213i \(-0.727533\pi\)
−0.655479 + 0.755213i \(0.727533\pi\)
\(350\) 3.99647 + 12.6106i 0.213620 + 0.674067i
\(351\) −63.5584 −3.39249
\(352\) 0.566611 + 0.872504i 0.0302004 + 0.0465046i
\(353\) 6.40509 + 16.6858i 0.340908 + 0.888097i 0.991669 + 0.128814i \(0.0411169\pi\)
−0.650760 + 0.759283i \(0.725550\pi\)
\(354\) 17.7244 39.8096i 0.942039 2.11585i
\(355\) −5.09193 + 16.9317i −0.270251 + 0.898642i
\(356\) −6.85344 + 9.43296i −0.363232 + 0.499946i
\(357\) −20.0599 11.5538i −1.06168 0.611492i
\(358\) 11.0805 1.75498i 0.585623 0.0927536i
\(359\) 19.8952 17.9138i 1.05003 0.945452i 0.0514484 0.998676i \(-0.483616\pi\)
0.998583 + 0.0532234i \(0.0169496\pi\)
\(360\) 0.502787 16.5721i 0.0264992 0.873428i
\(361\) −5.64069 + 6.26462i −0.296878 + 0.329717i
\(362\) −2.46816 0.129351i −0.129724 0.00679853i
\(363\) 28.5177 14.5305i 1.49679 0.762653i
\(364\) −11.7863 + 0.629991i −0.617771 + 0.0330205i
\(365\) 28.6897 24.2982i 1.50169 1.27182i
\(366\) −6.00944 6.67416i −0.314119 0.348864i
\(367\) 22.3963 + 27.6571i 1.16908 + 1.44369i 0.872454 + 0.488697i \(0.162527\pi\)
0.296624 + 0.954994i \(0.404139\pi\)
\(368\) −4.61582 1.23680i −0.240616 0.0644729i
\(369\) −12.2302 + 5.44523i −0.636678 + 0.283467i
\(370\) 2.19800 5.24478i 0.114269 0.272663i
\(371\) 6.37297 + 16.5507i 0.330868 + 0.859268i
\(372\) −16.7666 2.65558i −0.869310 0.137685i
\(373\) −0.995664 + 0.646592i −0.0515535 + 0.0334793i −0.570158 0.821535i \(-0.693118\pi\)
0.518605 + 0.855014i \(0.326452\pi\)
\(374\) −1.41030 2.44271i −0.0729249 0.126310i
\(375\) 26.4794 24.5087i 1.36739 1.26563i
\(376\) −10.1861 5.88098i −0.525310 0.303288i
\(377\) −20.0816 10.2321i −1.03426 0.526980i
\(378\) −37.4834 + 3.97910i −1.92794 + 0.204663i
\(379\) −5.86674 8.07487i −0.301354 0.414778i 0.631306 0.775533i \(-0.282519\pi\)
−0.932661 + 0.360755i \(0.882519\pi\)
\(380\) 4.40163 + 5.78587i 0.225799 + 0.296809i
\(381\) −28.2881 2.97320i −1.44924 0.152322i
\(382\) −2.42459 + 9.04869i −0.124053 + 0.462971i
\(383\) −14.3451 5.50659i −0.733003 0.281373i −0.0369033 0.999319i \(-0.511749\pi\)
−0.696099 + 0.717945i \(0.745083\pi\)
\(384\) −0.997254 + 3.06923i −0.0508909 + 0.156626i
\(385\) 6.13424 + 0.501974i 0.312630 + 0.0255830i
\(386\) −3.78293 11.6427i −0.192546 0.592596i
\(387\) 2.70392 51.5939i 0.137448 2.62267i
\(388\) 4.70959 + 3.05845i 0.239093 + 0.155269i
\(389\) −7.04198 6.34063i −0.357043 0.321483i 0.471015 0.882125i \(-0.343888\pi\)
−0.828058 + 0.560642i \(0.810554\pi\)
\(390\) 15.2435 + 28.3550i 0.771884 + 1.43581i
\(391\) 12.3219 + 4.00362i 0.623144 + 0.202472i
\(392\) −6.91153 + 1.10942i −0.349085 + 0.0560344i
\(393\) 12.4710 12.4710i 0.629079 0.629079i
\(394\) −0.735202 1.65129i −0.0370389 0.0831908i
\(395\) 19.3882 18.2464i 0.975525 0.918075i
\(396\) −7.04692 3.13749i −0.354121 0.157665i
\(397\) −21.0260 17.0265i −1.05526 0.854535i −0.0655855 0.997847i \(-0.520891\pi\)
−0.989678 + 0.143312i \(0.954225\pi\)
\(398\) 3.67828 7.21903i 0.184375 0.361857i
\(399\) 19.6085 19.6494i 0.981654 0.983699i
\(400\) −4.47372 + 2.23290i −0.223686 + 0.111645i
\(401\) −10.0459 + 17.4001i −0.501670 + 0.868917i 0.498328 + 0.866988i \(0.333947\pi\)
−0.999998 + 0.00192913i \(0.999386\pi\)
\(402\) −0.901967 17.2106i −0.0449860 0.858385i
\(403\) 21.9080 8.40971i 1.09132 0.418918i
\(404\) 1.95665 + 18.6163i 0.0973471 + 0.926196i
\(405\) 27.5409 + 45.3643i 1.36852 + 2.25417i
\(406\) −12.4837 4.77715i −0.619556 0.237086i
\(407\) −1.87085 1.87085i −0.0927345 0.0927345i
\(408\) 3.13558 8.16847i 0.155234 0.404400i
\(409\) 28.7313 6.10703i 1.42067 0.301973i 0.567401 0.823441i \(-0.307949\pi\)
0.853271 + 0.521468i \(0.174616\pi\)
\(410\) 3.19280 + 2.47104i 0.157681 + 0.122036i
\(411\) −9.83309 + 46.2611i −0.485031 + 2.28189i
\(412\) 7.38003 + 14.4841i 0.363588 + 0.713582i
\(413\) 7.46418 + 34.9374i 0.367288 + 1.71916i
\(414\) 33.6980 10.9491i 1.65617 0.538121i
\(415\) −5.65554 5.41169i −0.277620 0.265649i
\(416\) −0.927530 4.36368i −0.0454759 0.213947i
\(417\) −28.7318 + 23.2666i −1.40700 + 1.13937i
\(418\) 3.26708 0.875412i 0.159798 0.0428178i
\(419\) 9.67541 + 7.02959i 0.472675 + 0.343418i 0.798483 0.602018i \(-0.205636\pi\)
−0.325808 + 0.945436i \(0.605636\pi\)
\(420\) 10.7650 + 15.7680i 0.525278 + 0.769399i
\(421\) −9.85571 + 7.16059i −0.480338 + 0.348986i −0.801456 0.598053i \(-0.795941\pi\)
0.321119 + 0.947039i \(0.395941\pi\)
\(422\) −2.67439 + 3.30260i −0.130187 + 0.160768i
\(423\) 87.0917 4.56428i 4.23455 0.221923i
\(424\) −5.80523 + 3.35165i −0.281927 + 0.162770i
\(425\) 12.4295 5.41080i 0.602918 0.262462i
\(426\) 25.5176i 1.23633i
\(427\) 7.20360 + 1.52334i 0.348606 + 0.0737196i
\(428\) −0.569058 + 3.59289i −0.0275064 + 0.173669i
\(429\) 14.8958 1.56561i 0.719174 0.0755882i
\(430\) −14.0906 + 6.64923i −0.679509 + 0.320654i
\(431\) 3.33340 31.7152i 0.160564 1.52767i −0.556611 0.830774i \(-0.687898\pi\)
0.717175 0.696893i \(-0.245435\pi\)
\(432\) −3.68740 13.7616i −0.177410 0.662103i
\(433\) 1.05494 + 6.66060i 0.0506970 + 0.320088i 0.999984 + 0.00567699i \(0.00180705\pi\)
−0.949287 + 0.314411i \(0.898193\pi\)
\(434\) 12.3937 6.33118i 0.594919 0.303906i
\(435\) 2.70951 + 36.3559i 0.129911 + 1.74313i
\(436\) 3.90722 + 0.830506i 0.187122 + 0.0397740i
\(437\) −8.46162 + 13.0298i −0.404774 + 0.623298i
\(438\) 29.5526 45.5070i 1.41208 2.17441i
\(439\) 9.67498 + 2.05648i 0.461762 + 0.0981505i 0.432918 0.901433i \(-0.357484\pi\)
0.0288440 + 0.999584i \(0.490817\pi\)
\(440\) 0.172892 + 2.31984i 0.00824228 + 0.110594i
\(441\) 38.4990 34.8100i 1.83329 1.65762i
\(442\) 1.89211 + 11.9463i 0.0899987 + 0.568229i
\(443\) −4.98100 18.5893i −0.236654 0.883206i −0.977396 0.211416i \(-0.932193\pi\)
0.740742 0.671790i \(-0.234474\pi\)
\(444\) 0.857898 8.16235i 0.0407140 0.387368i
\(445\) −23.5786 + 11.1266i −1.11773 + 0.527449i
\(446\) −21.5126 + 2.26107i −1.01865 + 0.107065i
\(447\) −3.63512 + 22.9512i −0.171935 + 1.08556i
\(448\) −0.820199 2.51541i −0.0387508 0.118842i
\(449\) 12.0364i 0.568035i −0.958819 0.284017i \(-0.908333\pi\)
0.958819 0.284017i \(-0.0916673\pi\)
\(450\) 18.8026 31.9516i 0.886362 1.50621i
\(451\) 1.62673 0.939194i 0.0765998 0.0442249i
\(452\) 5.54346 0.290520i 0.260742 0.0136649i
\(453\) −11.0475 + 13.6425i −0.519055 + 0.640979i
\(454\) 1.72427 1.25276i 0.0809242 0.0587948i
\(455\) −23.7862 11.4364i −1.11511 0.536144i
\(456\) 8.48830 + 6.16711i 0.397501 + 0.288802i
\(457\) −28.7939 + 7.71530i −1.34692 + 0.360907i −0.858998 0.511979i \(-0.828912\pi\)
−0.487924 + 0.872886i \(0.662246\pi\)
\(458\) −23.3365 + 18.8975i −1.09044 + 0.883023i
\(459\) 8.03098 + 37.7828i 0.374854 + 1.76355i
\(460\) −7.72031 7.38743i −0.359961 0.344441i
\(461\) −1.49312 + 0.485145i −0.0695416 + 0.0225954i −0.343581 0.939123i \(-0.611640\pi\)
0.274040 + 0.961718i \(0.411640\pi\)
\(462\) 8.68673 1.85587i 0.404143 0.0863428i
\(463\) 8.32467 + 16.3381i 0.386880 + 0.759295i 0.999517 0.0310691i \(-0.00989120\pi\)
−0.612637 + 0.790364i \(0.709891\pi\)
\(464\) 1.05038 4.94167i 0.0487629 0.229411i
\(465\) −30.0185 23.2326i −1.39207 1.07738i
\(466\) 2.83936 0.603524i 0.131531 0.0279577i
\(467\) −3.22485 + 8.40101i −0.149228 + 0.388752i −0.987735 0.156138i \(-0.950095\pi\)
0.838507 + 0.544891i \(0.183429\pi\)
\(468\) 23.3898 + 23.3898i 1.08120 + 1.08120i
\(469\) 8.90319 + 10.9712i 0.411111 + 0.506601i
\(470\) −13.6488 22.4817i −0.629572 1.03700i
\(471\) 4.58220 + 43.5968i 0.211137 + 2.00883i
\(472\) −12.6062 + 4.83908i −0.580249 + 0.222737i
\(473\) 0.379383 + 7.23905i 0.0174440 + 0.332852i
\(474\) 19.2123 33.2767i 0.882451 1.52845i
\(475\) 2.40963 + 16.0763i 0.110561 + 0.737630i
\(476\) 1.86378 + 6.92688i 0.0854260 + 0.317493i
\(477\) 22.5646 44.2856i 1.03316 2.02770i
\(478\) 4.43222 + 3.58914i 0.202725 + 0.164164i
\(479\) 14.3175 + 6.37458i 0.654185 + 0.291262i 0.706864 0.707349i \(-0.250109\pi\)
−0.0526787 + 0.998612i \(0.516776\pi\)
\(480\) −5.25501 + 4.94553i −0.239857 + 0.225732i
\(481\) 4.61466 + 10.3647i 0.210410 + 0.472590i
\(482\) 5.90878 5.90878i 0.269137 0.269137i
\(483\) −23.9482 + 33.0341i −1.08968 + 1.50310i
\(484\) −9.43228 3.06473i −0.428740 0.139306i
\(485\) 5.94571 + 11.0599i 0.269981 + 0.502202i
\(486\) 25.1566 + 22.6511i 1.14113 + 1.02748i
\(487\) −9.38524 6.09485i −0.425286 0.276184i 0.314199 0.949357i \(-0.398264\pi\)
−0.739485 + 0.673173i \(0.764931\pi\)
\(488\) −0.145647 + 2.77910i −0.00659311 + 0.125804i
\(489\) −10.1577 31.2621i −0.459346 1.41372i
\(490\) −14.7438 5.25543i −0.666058 0.237416i
\(491\) 12.6815 39.0297i 0.572309 1.76139i −0.0728557 0.997342i \(-0.523211\pi\)
0.645165 0.764044i \(-0.276789\pi\)
\(492\) 5.43982 + 2.08815i 0.245246 + 0.0941411i
\(493\) −3.54512 + 13.2306i −0.159664 + 0.595876i
\(494\) −14.4246 1.51609i −0.648993 0.0682119i
\(495\) −10.4434 13.7277i −0.469396 0.617014i
\(496\) 3.09187 + 4.25560i 0.138829 + 0.191082i
\(497\) −12.3142 16.9120i −0.552367 0.758607i
\(498\) −10.0658 5.12878i −0.451059 0.229826i
\(499\) −11.1280 6.42477i −0.498159 0.287612i 0.229794 0.973239i \(-0.426195\pi\)
−0.727953 + 0.685627i \(0.759528\pi\)
\(500\) −11.1720 0.431790i −0.499627 0.0193102i
\(501\) 11.7808 + 20.4050i 0.526329 + 0.911628i
\(502\) 18.6180 12.0906i 0.830960 0.539632i
\(503\) −15.9444 2.52535i −0.710927 0.112600i −0.209511 0.977806i \(-0.567187\pi\)
−0.501416 + 0.865206i \(0.667187\pi\)
\(504\) 15.2584 + 12.3298i 0.679665 + 0.549212i
\(505\) −16.1782 + 38.6037i −0.719920 + 1.71784i
\(506\) −4.54162 + 2.02206i −0.201900 + 0.0898915i
\(507\) −21.5152 5.76498i −0.955523 0.256032i
\(508\) 5.54674 + 6.84965i 0.246097 + 0.303904i
\(509\) 15.2530 + 16.9402i 0.676077 + 0.750860i 0.979378 0.202035i \(-0.0647555\pi\)
−0.303301 + 0.952895i \(0.598089\pi\)
\(510\) 14.9297 12.6444i 0.661100 0.559905i
\(511\) 2.37437 + 44.4215i 0.105036 + 1.96509i
\(512\) 0.891007 0.453990i 0.0393773 0.0200637i
\(513\) −46.2560 2.42418i −2.04225 0.107030i
\(514\) 4.17334 4.63497i 0.184078 0.204440i
\(515\) −1.10231 + 36.3326i −0.0485734 + 1.60101i
\(516\) −16.7108 + 15.0465i −0.735653 + 0.662385i
\(517\) −12.0858 + 1.91420i −0.531533 + 0.0841865i
\(518\) 3.37037 + 5.82366i 0.148086 + 0.255877i
\(519\) 3.63215 4.99923i 0.159434 0.219442i
\(520\) 2.87286 9.55285i 0.125983 0.418920i
\(521\) −3.52727 + 7.92238i −0.154533 + 0.347086i −0.974177 0.225787i \(-0.927505\pi\)
0.819644 + 0.572873i \(0.194171\pi\)
\(522\) 13.4243 + 34.9715i 0.587566 + 1.53066i
\(523\) −0.143918 0.221614i −0.00629310 0.00969052i 0.835510 0.549475i \(-0.185172\pi\)
−0.841803 + 0.539785i \(0.818506\pi\)
\(524\) −5.46504 −0.238741
\(525\) 4.15414 + 42.4890i 0.181301 + 1.85437i
\(526\) 9.39016 0.409431
\(527\) −7.76743 11.9608i −0.338355 0.521021i
\(528\) 1.20317 + 3.13438i 0.0523614 + 0.136406i
\(529\) −0.0669278 + 0.150322i −0.00290991 + 0.00653576i
\(530\) −14.9854 + 0.330180i −0.650924 + 0.0143421i
\(531\) 58.8499 81.0000i 2.55387 3.51510i
\(532\) −8.60179 + 0.00894836i −0.372935 + 0.000387960i
\(533\) −7.95570 + 1.26006i −0.344600 + 0.0545792i
\(534\) −27.9632 + 25.1782i −1.21009 + 1.08957i
\(535\) −4.97846 + 6.43260i −0.215238 + 0.278106i
\(536\) −3.57337 + 3.96863i −0.154346 + 0.171419i
\(537\) 36.1549 + 1.89480i 1.56020 + 0.0817667i
\(538\) −1.22661 + 0.624991i −0.0528831 + 0.0269453i
\(539\) −4.86160 + 5.42200i −0.209404 + 0.233542i
\(540\) 7.56543 30.9459i 0.325564 1.33170i
\(541\) −19.6070 21.7758i −0.842972 0.936215i 0.155697 0.987805i \(-0.450238\pi\)
−0.998668 + 0.0515898i \(0.983571\pi\)
\(542\) −5.74354 7.09269i −0.246706 0.304657i
\(543\) −7.70435 2.06437i −0.330625 0.0885908i
\(544\) −2.47683 + 1.10276i −0.106193 + 0.0472802i
\(545\) 6.76782 + 5.82901i 0.289901 + 0.249687i
\(546\) −37.6281 5.91959i −1.61033 0.253335i
\(547\) 24.1940 + 3.83196i 1.03446 + 0.163843i 0.650500 0.759506i \(-0.274559\pi\)
0.383962 + 0.923349i \(0.374559\pi\)
\(548\) 12.2908 7.98172i 0.525036 0.340962i
\(549\) −10.3172 17.8700i −0.440329 0.762672i
\(550\) −2.15509 + 4.73427i −0.0918935 + 0.201870i
\(551\) −14.2246 8.21258i −0.605988 0.349868i
\(552\) −13.7407 7.00124i −0.584843 0.297992i
\(553\) 3.32543 + 31.3258i 0.141412 + 1.33211i
\(554\) 6.70029 + 9.22216i 0.284668 + 0.391812i
\(555\) 10.4574 15.0812i 0.443893 0.640160i
\(556\) 11.3934 + 1.19749i 0.483186 + 0.0507849i
\(557\) 1.91094 7.13172i 0.0809691 0.302181i −0.913551 0.406724i \(-0.866671\pi\)
0.994520 + 0.104543i \(0.0333379\pi\)
\(558\) −36.4123 13.9774i −1.54145 0.591709i
\(559\) 9.60578 29.5635i 0.406281 1.25040i
\(560\) 1.09620 5.81363i 0.0463231 0.245671i
\(561\) −2.81286 8.65708i −0.118759 0.365502i
\(562\) 1.32282 25.2408i 0.0557996 1.06472i
\(563\) −17.9050 11.6276i −0.754606 0.490047i 0.109107 0.994030i \(-0.465201\pi\)
−0.863714 + 0.503983i \(0.831867\pi\)
\(564\) −28.2082 25.3988i −1.18778 1.06948i
\(565\) 11.1811 + 5.39019i 0.470393 + 0.226767i
\(566\) 3.44356 + 1.11888i 0.144744 + 0.0470301i
\(567\) −62.4560 6.49871i −2.62291 0.272920i
\(568\) 5.59116 5.59116i 0.234600 0.234600i
\(569\) 16.0502 + 36.0493i 0.672858 + 1.51126i 0.849835 + 0.527048i \(0.176701\pi\)
−0.176978 + 0.984215i \(0.556632\pi\)
\(570\) 10.0123 + 21.2174i 0.419369 + 0.888698i
\(571\) 5.09143 + 2.26685i 0.213070 + 0.0948648i 0.510496 0.859880i \(-0.329462\pi\)
−0.297427 + 0.954745i \(0.596128\pi\)
\(572\) −3.60685 2.92077i −0.150810 0.122123i
\(573\) −13.7250 + 26.9368i −0.573370 + 1.12530i
\(574\) −4.61297 + 1.24119i −0.192542 + 0.0518062i
\(575\) −7.19455 22.7843i −0.300034 0.950171i
\(576\) −3.70735 + 6.42131i −0.154473 + 0.267555i
\(577\) −0.861534 16.4391i −0.0358661 0.684367i −0.956108 0.293016i \(-0.905341\pi\)
0.920241 0.391351i \(-0.127992\pi\)
\(578\) −9.00835 + 3.45798i −0.374698 + 0.143833i
\(579\) −4.12956 39.2902i −0.171619 1.63284i
\(580\) 7.37225 8.55961i 0.306116 0.355419i
\(581\) 9.14622 1.45837i 0.379449 0.0605035i
\(582\) 12.8145 + 12.8145i 0.531176 + 0.531176i
\(583\) −2.49916 + 6.51053i −0.103505 + 0.269639i
\(584\) −16.4463 + 3.49576i −0.680552 + 0.144656i
\(585\) 20.7127 + 71.0058i 0.856366 + 2.93573i
\(586\) −4.39107 + 20.6583i −0.181393 + 0.853388i
\(587\) 2.87458 + 5.64167i 0.118646 + 0.232857i 0.942690 0.333670i \(-0.108287\pi\)
−0.824044 + 0.566526i \(0.808287\pi\)
\(588\) −22.5617 1.13534i −0.930429 0.0468208i
\(589\) 16.2648 5.28476i 0.670180 0.217755i
\(590\) −29.9190 4.06529i −1.23174 0.167365i
\(591\) −1.21282 5.70585i −0.0498886 0.234708i
\(592\) −1.97642 + 1.60048i −0.0812305 + 0.0657792i
\(593\) 4.42657 1.18609i 0.181777 0.0487071i −0.166782 0.985994i \(-0.553338\pi\)
0.348559 + 0.937287i \(0.386671\pi\)
\(594\) −11.9911 8.71201i −0.491999 0.357458i
\(595\) −3.79291 + 15.5849i −0.155494 + 0.638920i
\(596\) 5.82533 4.23235i 0.238615 0.173364i
\(597\) 16.4548 20.3200i 0.673450 0.831642i
\(598\) 21.2891 1.11572i 0.870578 0.0456250i
\(599\) −27.9512 + 16.1377i −1.14206 + 0.659367i −0.946939 0.321413i \(-0.895842\pi\)
−0.195118 + 0.980780i \(0.562509\pi\)
\(600\) −15.6202 + 4.04677i −0.637692 + 0.165209i
\(601\) 9.66641i 0.394301i −0.980373 0.197151i \(-0.936831\pi\)
0.980373 0.197151i \(-0.0631688\pi\)
\(602\) 3.81415 18.0364i 0.155453 0.735110i
\(603\) 6.19431 39.1093i 0.252252 1.59266i
\(604\) 5.40981 0.568593i 0.220122 0.0231357i
\(605\) −15.1985 16.1496i −0.617907 0.656573i
\(606\) −6.31447 + 60.0782i −0.256508 + 2.44051i
\(607\) 11.2341 + 41.9262i 0.455977 + 1.70173i 0.685199 + 0.728356i \(0.259715\pi\)
−0.229222 + 0.973374i \(0.573618\pi\)
\(608\) −0.508595 3.21115i −0.0206263 0.130229i
\(609\) −36.2015 23.4560i −1.46696 0.950485i
\(610\) −3.27339 + 5.29226i −0.132536 + 0.214277i
\(611\) 51.3254 + 10.9096i 2.07641 + 0.441354i
\(612\) 10.9488 16.8597i 0.442580 0.681514i
\(613\) −2.22103 + 3.42008i −0.0897064 + 0.138136i −0.880675 0.473721i \(-0.842910\pi\)
0.790968 + 0.611857i \(0.209577\pi\)
\(614\) 11.3817 + 2.41926i 0.459330 + 0.0976335i
\(615\) 8.42060 + 9.94251i 0.339551 + 0.400921i
\(616\) −2.30999 1.49671i −0.0930720 0.0603041i
\(617\) 2.47457 + 15.6238i 0.0996225 + 0.628992i 0.986091 + 0.166204i \(0.0531509\pi\)
−0.886469 + 0.462788i \(0.846849\pi\)
\(618\) 13.5779 + 50.6732i 0.546181 + 2.03838i
\(619\) 2.61028 24.8352i 0.104916 0.998209i −0.807756 0.589517i \(-0.799318\pi\)
0.912672 0.408692i \(-0.134015\pi\)
\(620\) 1.48686 + 11.6678i 0.0597139 + 0.468591i
\(621\) 67.7085 7.11645i 2.71705 0.285573i
\(622\) −0.379012 + 2.39299i −0.0151970 + 0.0959501i
\(623\) 6.38245 30.1814i 0.255707 1.20919i
\(624\) 14.3970i 0.576342i
\(625\) −21.4402 12.8577i −0.857606 0.514307i
\(626\) −20.4396 + 11.8008i −0.816931 + 0.471655i
\(627\) 10.9004 0.571267i 0.435321 0.0228142i
\(628\) 8.54847 10.5565i 0.341121 0.421249i
\(629\) 5.57829 4.05287i 0.222421 0.161598i
\(630\) 16.6607 + 40.5788i 0.663776 + 1.61670i
\(631\) 0.324924 + 0.236071i 0.0129350 + 0.00939785i 0.594234 0.804292i \(-0.297455\pi\)
−0.581299 + 0.813690i \(0.697455\pi\)
\(632\) −11.5009 + 3.08165i −0.457480 + 0.122581i
\(633\) −10.6581 + 8.63075i −0.423621 + 0.343042i
\(634\) −4.39623 20.6826i −0.174596 0.821412i
\(635\) 3.51112 + 19.3931i 0.139334 + 0.769592i
\(636\) −20.5740 + 6.68489i −0.815811 + 0.265073i
\(637\) 27.7950 14.2352i 1.10128 0.564018i
\(638\) −2.38612 4.68302i −0.0944674 0.185403i
\(639\) −12.1896 + 57.3475i −0.482213 + 2.26863i
\(640\) 2.23504 + 0.0678095i 0.0883477 + 0.00268041i
\(641\) −18.9425 + 4.02635i −0.748184 + 0.159031i −0.566197 0.824270i \(-0.691586\pi\)
−0.181986 + 0.983301i \(0.558253\pi\)
\(642\) −4.20704 + 10.9597i −0.166039 + 0.432545i
\(643\) 4.68666 + 4.68666i 0.184824 + 0.184824i 0.793454 0.608630i \(-0.208281\pi\)
−0.608630 + 0.793454i \(0.708281\pi\)
\(644\) 12.4854 1.99081i 0.491993 0.0784488i
\(645\) −48.9406 + 11.5350i −1.92704 + 0.454191i
\(646\) 0.921384 + 8.76638i 0.0362514 + 0.344909i
\(647\) −39.5908 + 15.1975i −1.55647 + 0.597475i −0.976186 0.216936i \(-0.930394\pi\)
−0.580289 + 0.814411i \(0.697060\pi\)
\(648\) −1.24212 23.7011i −0.0487951 0.931066i
\(649\) −7.02393 + 12.1658i −0.275713 + 0.477549i
\(650\) 15.9030 15.6412i 0.623767 0.613497i
\(651\) 43.3708 11.6695i 1.69984 0.457366i
\(652\) −4.62419 + 9.07548i −0.181097 + 0.355423i
\(653\) 7.30248 + 5.91343i 0.285768 + 0.231411i 0.761476 0.648193i \(-0.224475\pi\)
−0.475708 + 0.879603i \(0.657808\pi\)
\(654\) 11.7765 + 5.24325i 0.460499 + 0.205027i
\(655\) −10.7150 5.87549i −0.418671 0.229574i
\(656\) −0.734383 1.64945i −0.0286728 0.0644003i
\(657\) 88.1539 88.1539i 3.43921 3.43921i
\(658\) 30.9521 + 3.22064i 1.20664 + 0.125554i
\(659\) 13.3353 + 4.33290i 0.519469 + 0.168786i 0.557004 0.830510i \(-0.311951\pi\)
−0.0375352 + 0.999295i \(0.511951\pi\)
\(660\) −1.01078 + 7.43895i −0.0393446 + 0.289561i
\(661\) 17.4376 + 15.7009i 0.678245 + 0.610695i 0.934521 0.355909i \(-0.115829\pi\)
−0.256275 + 0.966604i \(0.582495\pi\)
\(662\) 7.88279 + 5.11914i 0.306373 + 0.198961i
\(663\) −2.04286 + 38.9801i −0.0793380 + 1.51386i
\(664\) 1.08175 + 3.32928i 0.0419800 + 0.129201i
\(665\) −16.8747 9.23029i −0.654374 0.357935i
\(666\) 5.82711 17.9340i 0.225796 0.694928i
\(667\) 22.5385 + 8.65174i 0.872696 + 0.334997i
\(668\) 1.88964 7.05223i 0.0731124 0.272859i
\(669\) −69.4252 7.29688i −2.68413 0.282114i
\(670\) −11.2728 + 3.93935i −0.435507 + 0.152190i
\(671\) 1.70175 + 2.34225i 0.0656952 + 0.0904217i
\(672\) −0.901330 8.49061i −0.0347696 0.327532i
\(673\) −5.39918 2.75102i −0.208123 0.106044i 0.346822 0.937931i \(-0.387261\pi\)
−0.554945 + 0.831887i \(0.687261\pi\)
\(674\) 3.53385 + 2.04027i 0.136119 + 0.0785883i
\(675\) 48.1033 52.5405i 1.85150 2.02229i
\(676\) 3.45103 + 5.97735i 0.132732 + 0.229898i
\(677\) −28.1139 + 18.2574i −1.08051 + 0.701689i −0.956834 0.290634i \(-0.906134\pi\)
−0.123672 + 0.992323i \(0.539467\pi\)
\(678\) 17.6937 + 2.80241i 0.679523 + 0.107626i
\(679\) −14.6768 2.30893i −0.563245 0.0886087i
\(680\) −6.04177 0.500735i −0.231691 0.0192023i
\(681\) 6.28350 2.79760i 0.240784 0.107204i
\(682\) 5.28595 + 1.41637i 0.202409 + 0.0542354i
\(683\) −29.9772 37.0187i −1.14705 1.41648i −0.893444 0.449174i \(-0.851718\pi\)
−0.253601 0.967309i \(-0.581615\pi\)
\(684\) 16.1304 + 17.9146i 0.616760 + 0.684981i
\(685\) 32.6791 2.43549i 1.24860 0.0930551i
\(686\) 15.5008 10.1353i 0.591825 0.386967i
\(687\) −86.3450 + 43.9950i −3.29427 + 1.67851i
\(688\) 6.95834 + 0.364671i 0.265284 + 0.0139030i
\(689\) 20.0101 22.2234i 0.762323 0.846645i
\(690\) −19.4136 28.4997i −0.739065 1.08496i
\(691\) 38.0763 34.2841i 1.44849 1.30423i 0.574303 0.818643i \(-0.305273\pi\)
0.874189 0.485586i \(-0.161394\pi\)
\(692\) −1.89122 + 0.299540i −0.0718934 + 0.0113868i
\(693\) 20.4088 0.0212311i 0.775267 0.000806503i
\(694\) −13.5123 + 18.5981i −0.512920 + 0.705974i
\(695\) 21.0509 + 14.5969i 0.798508 + 0.553692i
\(696\) 6.63141 14.8944i 0.251363 0.564571i
\(697\) 1.75430 + 4.57011i 0.0664489 + 0.173105i
\(698\) 13.3386 + 20.5397i 0.504874 + 0.777437i
\(699\) 9.36783 0.354324
\(700\) 8.39954 10.2200i 0.317473 0.386278i
\(701\) −14.8528 −0.560982 −0.280491 0.959857i \(-0.590497\pi\)
−0.280491 + 0.959857i \(0.590497\pi\)
\(702\) 34.6164 + 53.3045i 1.30651 + 2.01185i
\(703\) 2.96310 + 7.71915i 0.111756 + 0.291133i
\(704\) 0.423145 0.950399i 0.0159479 0.0358195i
\(705\) −28.0001 80.1250i −1.05454 3.01768i
\(706\) 10.5054 14.4595i 0.395378 0.544191i
\(707\) −24.8073 42.8645i −0.932975 1.61209i
\(708\) −43.0405 + 6.81694i −1.61756 + 0.256196i
\(709\) −4.68689 + 4.22009i −0.176020 + 0.158489i −0.752431 0.658671i \(-0.771119\pi\)
0.576412 + 0.817159i \(0.304452\pi\)
\(710\) 16.9734 4.95122i 0.637000 0.185816i
\(711\) 59.0732 65.6075i 2.21542 2.46047i
\(712\) 11.6438 + 0.610225i 0.436370 + 0.0228692i
\(713\) −22.3969 + 11.4118i −0.838772 + 0.427376i
\(714\) 1.23559 + 23.1163i 0.0462408 + 0.865106i
\(715\) −3.93163 9.60434i −0.147035 0.359182i
\(716\) −7.50673 8.33707i −0.280540 0.311571i
\(717\) 11.5828 + 14.3036i 0.432568 + 0.534177i
\(718\) −25.8595 6.92903i −0.965067 0.258589i
\(719\) 41.9668 18.6848i 1.56510 0.696827i 0.572686 0.819775i \(-0.305901\pi\)
0.992413 + 0.122948i \(0.0392348\pi\)
\(720\) −14.1724 + 8.60416i −0.528174 + 0.320658i
\(721\) −33.4525 27.0317i −1.24584 1.00671i
\(722\) 8.32609 + 1.31872i 0.309865 + 0.0490778i
\(723\) 22.6166 14.6874i 0.841120 0.546230i
\(724\) 1.23577 + 2.14042i 0.0459272 + 0.0795482i
\(725\) 23.6569 8.85645i 0.878595 0.328920i
\(726\) −27.7182 16.0031i −1.02872 0.593930i
\(727\) −8.77521 4.47119i −0.325454 0.165827i 0.283628 0.958934i \(-0.408462\pi\)
−0.609082 + 0.793107i \(0.708462\pi\)
\(728\) 6.94765 + 9.54173i 0.257497 + 0.353640i
\(729\) 22.3619 + 30.7785i 0.828218 + 1.13994i
\(730\) −36.0037 10.8275i −1.33256 0.400744i
\(731\) −18.7880 1.97470i −0.694901 0.0730370i
\(732\) −2.32445 + 8.67495i −0.0859140 + 0.320636i
\(733\) 30.2153 + 11.5986i 1.11603 + 0.428403i 0.845321 0.534260i \(-0.179409\pi\)
0.270706 + 0.962662i \(0.412743\pi\)
\(734\) 10.9973 33.8463i 0.405919 1.24929i
\(735\) −43.0150 26.4822i −1.58663 0.976812i
\(736\) 1.47668 + 4.54476i 0.0544312 + 0.167522i
\(737\) −0.290766 + 5.54814i −0.0107105 + 0.204369i
\(738\) 11.2278 + 7.29141i 0.413300 + 0.268400i
\(739\) −11.8283 10.6502i −0.435111 0.391776i 0.422260 0.906475i \(-0.361237\pi\)
−0.857371 + 0.514699i \(0.827904\pi\)
\(740\) −5.59576 + 1.01311i −0.205704 + 0.0372427i
\(741\) −44.5162 14.4642i −1.63535 0.531356i
\(742\) 10.4096 14.3590i 0.382148 0.527134i
\(743\) 2.60301 2.60301i 0.0954951 0.0954951i −0.657745 0.753240i \(-0.728490\pi\)
0.753240 + 0.657745i \(0.228490\pi\)
\(744\) 6.90462 + 15.5080i 0.253136 + 0.568552i
\(745\) 15.9716 2.03531i 0.585156 0.0745681i
\(746\) 1.08455 + 0.482875i 0.0397084 + 0.0176793i
\(747\) −20.1716 16.3346i −0.738040 0.597653i
\(748\) −1.28053 + 2.51317i −0.0468207 + 0.0918908i
\(749\) −2.50064 9.29384i −0.0913715 0.339590i
\(750\) −34.9765 8.85907i −1.27716 0.323488i
\(751\) −11.7104 + 20.2830i −0.427319 + 0.740137i −0.996634 0.0819819i \(-0.973875\pi\)
0.569315 + 0.822119i \(0.307208\pi\)
\(752\) 0.615573 + 11.7458i 0.0224476 + 0.428326i
\(753\) 66.8830 25.6740i 2.43735 0.935611i
\(754\) 2.35588 + 22.4147i 0.0857960 + 0.816295i
\(755\) 11.2180 + 4.70130i 0.408266 + 0.171098i
\(756\) 23.7521 + 29.2691i 0.863855 + 1.06451i
\(757\) 33.6393 + 33.6393i 1.22264 + 1.22264i 0.966690 + 0.255952i \(0.0823888\pi\)
0.255952 + 0.966690i \(0.417611\pi\)
\(758\) −3.57690 + 9.31815i −0.129919 + 0.338450i
\(759\) −15.6931 + 3.33567i −0.569623 + 0.121077i
\(760\) 2.45514 6.84273i 0.0890574 0.248212i
\(761\) 0.929961 4.37512i 0.0337111 0.158598i −0.958072 0.286526i \(-0.907499\pi\)
0.991783 + 0.127928i \(0.0408327\pi\)
\(762\) 12.9133 + 25.3437i 0.467798 + 0.918106i
\(763\) −10.3353 + 2.20807i −0.374161 + 0.0799373i
\(764\) 8.90940 2.89484i 0.322331 0.104732i
\(765\) 39.5928 21.2849i 1.43148 0.769556i
\(766\) 3.19472 + 15.0300i 0.115430 + 0.543054i
\(767\) 46.8151 37.9101i 1.69039 1.36885i
\(768\) 3.11722 0.835256i 0.112483 0.0301397i
\(769\) 37.7529 + 27.4291i 1.36140 + 0.989117i 0.998354 + 0.0573471i \(0.0182642\pi\)
0.363049 + 0.931770i \(0.381736\pi\)
\(770\) −2.91996 5.41800i −0.105228 0.195251i
\(771\) 16.2837 11.8308i 0.586444 0.426077i
\(772\) −7.70403 + 9.51369i −0.277274 + 0.342405i
\(773\) 15.7644 0.826175i 0.567004 0.0297154i 0.233320 0.972400i \(-0.425041\pi\)
0.333685 + 0.942685i \(0.391708\pi\)
\(774\) −44.7430 + 25.8324i −1.60825 + 0.928526i
\(775\) −9.62893 + 24.4751i −0.345881 + 0.879170i
\(776\) 5.61555i 0.201586i
\(777\) 6.73163 + 20.6447i 0.241496 + 0.740625i
\(778\) −1.48236 + 9.35925i −0.0531452 + 0.335546i
\(779\) −5.83800 + 0.613598i −0.209168 + 0.0219844i
\(780\) 15.4783 28.2275i 0.554212 1.01071i
\(781\) 0.859859 8.18101i 0.0307682 0.292740i
\(782\) −3.35326 12.5145i −0.119912 0.447519i
\(783\) 11.2597 + 71.0908i 0.402388 + 2.54058i
\(784\) 4.69473 + 5.19226i 0.167669 + 0.185438i
\(785\) 28.1099 11.5071i 1.00328 0.410705i
\(786\) −17.2513 3.66687i −0.615332 0.130793i
\(787\) −12.9392 + 19.9247i −0.461234 + 0.710239i −0.990393 0.138285i \(-0.955841\pi\)
0.529158 + 0.848523i \(0.322508\pi\)
\(788\) −0.984469 + 1.51595i −0.0350702 + 0.0540034i
\(789\) 29.6415 + 6.30050i 1.05527 + 0.224304i
\(790\) −25.8623 6.32261i −0.920138 0.224948i
\(791\) −13.0790 + 6.68125i −0.465037 + 0.237558i
\(792\) 1.20671 + 7.61884i 0.0428784 + 0.270724i
\(793\) −3.21326 11.9920i −0.114106 0.425850i
\(794\) −2.82806 + 26.9072i −0.100364 + 0.954899i
\(795\) −47.5253 9.01246i −1.68555 0.319639i
\(796\) −8.05772 + 0.846900i −0.285598 + 0.0300176i
\(797\) −5.26480 + 33.2406i −0.186489 + 1.17744i 0.699810 + 0.714329i \(0.253268\pi\)
−0.886298 + 0.463115i \(0.846732\pi\)
\(798\) −27.1589 5.74328i −0.961415 0.203310i
\(799\) 31.8893i 1.12816i
\(800\) 4.30923 + 2.53585i 0.152354 + 0.0896560i
\(801\) −74.8711 + 43.2268i −2.64544 + 1.52734i
\(802\) 20.0643 1.05153i 0.708496 0.0371307i
\(803\) −11.0081 + 13.5938i −0.388466 + 0.479716i
\(804\) −13.9427 + 10.1300i −0.491723 + 0.357257i
\(805\) 26.6198 + 9.51983i 0.938225 + 0.335530i
\(806\) −18.9850 13.7934i −0.668717 0.485851i
\(807\) −4.29135 + 1.14986i −0.151063 + 0.0404771i
\(808\) 14.5473 11.7802i 0.511772 0.414424i
\(809\) −5.87133 27.6224i −0.206425 0.971154i −0.952323 0.305093i \(-0.901313\pi\)
0.745898 0.666061i \(-0.232021\pi\)
\(810\) 23.0458 47.8049i 0.809746 1.67969i
\(811\) −46.3118 + 15.0476i −1.62623 + 0.528393i −0.973399 0.229115i \(-0.926417\pi\)
−0.652826 + 0.757508i \(0.726417\pi\)
\(812\) 2.79266 + 13.0715i 0.0980030 + 0.458721i
\(813\) −13.3714 26.2429i −0.468957 0.920380i
\(814\) −0.550088 + 2.58796i −0.0192806 + 0.0907080i
\(815\) −18.8235 + 12.8224i −0.659359 + 0.449147i
\(816\) −8.55842 + 1.81915i −0.299605 + 0.0636829i
\(817\) 8.11840 21.1492i 0.284027 0.739915i
\(818\) −20.7700 20.7700i −0.726205 0.726205i
\(819\) −81.7365 31.2782i −2.85610 1.09295i
\(820\) 0.333466 4.02354i 0.0116451 0.140508i
\(821\) 0.107744 + 1.02512i 0.00376029 + 0.0357768i 0.996241 0.0866232i \(-0.0276076\pi\)
−0.992481 + 0.122400i \(0.960941\pi\)
\(822\) 44.1533 16.9489i 1.54002 0.591159i
\(823\) −0.574771 10.9673i −0.0200353 0.382295i −0.990183 0.139779i \(-0.955361\pi\)
0.970147 0.242516i \(-0.0779727\pi\)
\(824\) 8.12796 14.0780i 0.283151 0.490432i
\(825\) −9.97944 + 13.4985i −0.347440 + 0.469957i
\(826\) 25.2357 25.2883i 0.878063 0.879892i
\(827\) −2.74824 + 5.39372i −0.0955656 + 0.187558i −0.933840 0.357690i \(-0.883564\pi\)
0.838275 + 0.545248i \(0.183564\pi\)
\(828\) −27.5360 22.2982i −0.956942 0.774916i
\(829\) 5.23637 + 2.33138i 0.181867 + 0.0809723i 0.495650 0.868522i \(-0.334930\pi\)
−0.313783 + 0.949495i \(0.601597\pi\)
\(830\) −1.45840 + 7.69055i −0.0506217 + 0.266943i
\(831\) 14.9628 + 33.6069i 0.519052 + 1.16581i
\(832\) −3.15452 + 3.15452i −0.109363 + 0.109363i
\(833\) −11.9743 14.7243i −0.414884 0.510165i
\(834\) 35.1614 + 11.4246i 1.21754 + 0.395603i
\(835\) 11.2868 11.7954i 0.390596 0.408197i
\(836\) −2.51356 2.26322i −0.0869333 0.0782751i
\(837\) −62.8519 40.8165i −2.17248 1.41082i
\(838\) 0.625910 11.9431i 0.0216217 0.412567i
\(839\) 0.387312 + 1.19202i 0.0133715 + 0.0411533i 0.957520 0.288368i \(-0.0931127\pi\)
−0.944148 + 0.329521i \(0.893113\pi\)
\(840\) 7.36111 17.6161i 0.253982 0.607815i
\(841\) 1.07432 3.30643i 0.0370456 0.114015i
\(842\) 11.3732 + 4.36575i 0.391946 + 0.150454i
\(843\) 21.1115 78.7892i 0.727118 2.71364i
\(844\) 4.22637 + 0.444210i 0.145478 + 0.0152903i
\(845\) 0.339970 + 15.4297i 0.0116953 + 0.530798i
\(846\) −51.2615 70.5554i −1.76241 2.42574i
\(847\) 26.0931 2.76995i 0.896570 0.0951765i
\(848\) 5.97268 + 3.04323i 0.205103 + 0.104505i
\(849\) 10.1194 + 5.84244i 0.347297 + 0.200512i
\(850\) −11.3075 7.47731i −0.387843 0.256470i
\(851\) −6.07648 10.5248i −0.208299 0.360785i
\(852\) 21.4009 13.8979i 0.733182 0.476134i
\(853\) −21.7952 3.45202i −0.746253 0.118195i −0.228285 0.973594i \(-0.573312\pi\)
−0.517969 + 0.855400i \(0.673312\pi\)
\(854\) −2.64578 6.87111i −0.0905367 0.235125i
\(855\) 12.3659 + 52.4661i 0.422906 + 1.79430i
\(856\) 3.32318 1.47958i 0.113584 0.0505709i
\(857\) 23.5265 + 6.30391i 0.803650 + 0.215337i 0.637186 0.770710i \(-0.280098\pi\)
0.166464 + 0.986048i \(0.446765\pi\)
\(858\) −9.42584 11.6399i −0.321793 0.397381i
\(859\) −4.72494 5.24757i −0.161213 0.179045i 0.657127 0.753780i \(-0.271772\pi\)
−0.818339 + 0.574735i \(0.805105\pi\)
\(860\) 13.2508 + 8.19594i 0.451849 + 0.279479i
\(861\) −15.3944 + 0.822845i −0.524639 + 0.0280425i
\(862\) −28.4141 + 14.4777i −0.967788 + 0.493113i
\(863\) 0.785128 + 0.0411468i 0.0267261 + 0.00140065i 0.0656943 0.997840i \(-0.479074\pi\)
−0.0389682 + 0.999240i \(0.512407\pi\)
\(864\) −9.53311 + 10.5876i −0.324323 + 0.360197i
\(865\) −4.03006 1.44597i −0.137026 0.0491644i
\(866\) 5.01149 4.51237i 0.170297 0.153337i
\(867\) −30.7565 + 4.87135i −1.04454 + 0.165440i
\(868\) −12.0599 6.94606i −0.409339 0.235765i
\(869\) −7.28084 + 10.0212i −0.246985 + 0.339946i
\(870\) 29.0149 22.0732i 0.983698 0.748352i
\(871\) 9.69013 21.7644i 0.328338 0.737458i
\(872\) −1.43151 3.72920i −0.0484769 0.126287i
\(873\) 22.6774 + 34.9202i 0.767515 + 1.18187i
\(874\) 15.5362 0.525520
\(875\) 27.4561 11.0074i 0.928186 0.372117i
\(876\) −54.2608 −1.83330
\(877\) 6.99286 + 10.7681i 0.236132 + 0.363612i 0.936794 0.349882i \(-0.113778\pi\)
−0.700662 + 0.713494i \(0.747112\pi\)
\(878\) −3.54466 9.23416i −0.119627 0.311638i
\(879\) −27.7222 + 62.2651i −0.935046 + 2.10015i
\(880\) 1.85142 1.40847i 0.0624113 0.0474797i
\(881\) 8.48452 11.6779i 0.285851 0.393440i −0.641810 0.766864i \(-0.721816\pi\)
0.927661 + 0.373424i \(0.121816\pi\)
\(882\) −50.1621 13.3291i −1.68905 0.448814i
\(883\) −32.2573 + 5.10905i −1.08554 + 0.171933i −0.673468 0.739216i \(-0.735196\pi\)
−0.412076 + 0.911150i \(0.635196\pi\)
\(884\) 8.98852 8.09330i 0.302317 0.272207i
\(885\) −91.7163 32.9074i −3.08301 1.10617i
\(886\) −12.8775 + 14.3019i −0.432627 + 0.480481i
\(887\) −35.0007 1.83431i −1.17521 0.0615902i −0.545288 0.838249i \(-0.683580\pi\)
−0.629922 + 0.776658i \(0.716913\pi\)
\(888\) −7.31277 + 3.72604i −0.245400 + 0.125038i
\(889\) −20.7886 10.5651i −0.697228 0.354342i
\(890\) 22.1733 + 13.7147i 0.743252 + 0.459719i
\(891\) −16.5215 18.3490i −0.553492 0.614716i
\(892\) 13.6129 + 16.8105i 0.455794 + 0.562859i
\(893\) 36.9371 + 9.89727i 1.23605 + 0.331200i
\(894\) 21.2283 9.45147i 0.709982 0.316104i
\(895\) −5.75484 24.4166i −0.192363 0.816157i
\(896\) −1.66289 + 2.05787i −0.0555531 + 0.0687485i
\(897\) 67.9512 + 10.7624i 2.26882 + 0.359346i
\(898\) −10.0946 + 6.55551i −0.336861 + 0.218760i
\(899\) −13.2875 23.0146i −0.443162 0.767579i
\(900\) −37.0375 + 1.63292i −1.23458 + 0.0544307i
\(901\) −15.7393 9.08708i −0.524352 0.302735i
\(902\) −1.67366 0.852771i −0.0557267 0.0283942i
\(903\) 24.1419 54.3756i 0.803390 1.80951i
\(904\) −3.26283 4.49090i −0.108520 0.149365i
\(905\) 0.121739 + 5.52521i 0.00404676 + 0.183664i
\(906\) 17.4584 + 1.83495i 0.580017 + 0.0609623i
\(907\) −2.69653 + 10.0636i −0.0895367 + 0.334155i −0.996135 0.0878401i \(-0.972004\pi\)
0.906598 + 0.421996i \(0.138670\pi\)
\(908\) −1.98976 0.763797i −0.0660324 0.0253475i
\(909\) −42.8899 + 132.001i −1.42257 + 4.37821i
\(910\) 3.36354 + 26.1774i 0.111500 + 0.867774i
\(911\) −6.09412 18.7558i −0.201907 0.621407i −0.999826 0.0186419i \(-0.994066\pi\)
0.797919 0.602765i \(-0.205934\pi\)
\(912\) 0.549115 10.4777i 0.0181830 0.346953i
\(913\) 3.05430 + 1.98349i 0.101083 + 0.0656438i
\(914\) 22.1529 + 19.9465i 0.732752 + 0.659773i
\(915\) −13.8839 + 14.5095i −0.458988 + 0.479670i
\(916\) 28.5588 + 9.27930i 0.943608 + 0.306597i
\(917\) 13.2029 5.89480i 0.436000 0.194663i
\(918\) 27.3133 27.3133i 0.901474 0.901474i
\(919\) −15.6091 35.0585i −0.514895 1.15647i −0.964701 0.263347i \(-0.915174\pi\)
0.449806 0.893126i \(-0.351493\pi\)
\(920\) −1.99084 + 10.4983i −0.0656361 + 0.346118i
\(921\) 34.3050 + 15.2736i 1.13039 + 0.503282i
\(922\) 1.22009 + 0.988009i 0.0401815 + 0.0325383i
\(923\) −16.0145 + 31.4302i −0.527123 + 1.03454i
\(924\) −6.28760 6.27453i −0.206847 0.206417i
\(925\) −12.0605 4.02967i −0.396548 0.132495i
\(926\) 9.16833 15.8800i 0.301290 0.521850i
\(927\) 6.30819 + 120.367i 0.207188 + 3.95339i
\(928\) −4.71651 + 1.81050i −0.154827 + 0.0594326i
\(929\) 3.90243 + 37.1291i 0.128034 + 1.21817i 0.850205 + 0.526452i \(0.176478\pi\)
−0.722170 + 0.691715i \(0.756855\pi\)
\(930\) −3.13522 + 37.8290i −0.102808 + 1.24046i
\(931\) 20.7714 9.29983i 0.680754 0.304790i
\(932\) −2.05258 2.05258i −0.0672346 0.0672346i
\(933\) −2.80203 + 7.29954i −0.0917344 + 0.238976i
\(934\) 8.80206 1.87093i 0.288012 0.0612189i
\(935\) −5.21259 + 3.55076i −0.170470 + 0.116122i
\(936\) 6.87735 32.3554i 0.224793 1.05757i
\(937\) −5.75516 11.2951i −0.188013 0.368996i 0.777689 0.628649i \(-0.216392\pi\)
−0.965702 + 0.259653i \(0.916392\pi\)
\(938\) 4.35217 13.4422i 0.142103 0.438902i
\(939\) −72.4389 + 23.5368i −2.36395 + 0.768095i
\(940\) −11.4211 + 23.6913i −0.372515 + 0.772724i
\(941\) −3.46369 16.2954i −0.112913 0.531215i −0.997852 0.0655075i \(-0.979133\pi\)
0.884939 0.465707i \(-0.154200\pi\)
\(942\) 34.0677 27.5875i 1.10998 0.898848i
\(943\) 8.33409 2.23311i 0.271395 0.0727201i
\(944\) 10.9242 + 7.93693i 0.355554 + 0.258325i
\(945\) 15.1022 + 82.9224i 0.491274 + 2.69747i
\(946\) 5.86455 4.26085i 0.190673 0.138532i
\(947\) −12.2865 + 15.1725i −0.399257 + 0.493041i −0.936638 0.350298i \(-0.886080\pi\)
0.537381 + 0.843339i \(0.319414\pi\)
\(948\) −38.3720 + 2.01099i −1.24626 + 0.0653139i
\(949\) 64.9595 37.5044i 2.10868 1.21744i
\(950\) 12.1703 10.7767i 0.394858 0.349641i
\(951\) 68.2377i 2.21276i
\(952\) 4.79428 5.33574i 0.155384 0.172932i
\(953\) 1.00435 6.34121i 0.0325340 0.205412i −0.966067 0.258292i \(-0.916840\pi\)
0.998601 + 0.0528805i \(0.0168402\pi\)
\(954\) −49.4306 + 5.19537i −1.60038 + 0.168206i
\(955\) 20.5805 + 3.90278i 0.665968 + 0.126291i
\(956\) 0.596147 5.67196i 0.0192808 0.183444i
\(957\) −4.39000 16.3837i −0.141909 0.529610i
\(958\) −2.45172 15.4795i −0.0792115 0.500122i
\(959\) −21.0838 + 32.5403i −0.680832 + 1.05078i
\(960\) 7.00976 + 1.71369i 0.226239 + 0.0553092i
\(961\) −3.25743 0.692388i −0.105078 0.0223351i
\(962\) 6.17924 9.51520i 0.199227 0.306782i
\(963\) −14.6901 + 22.6208i −0.473383 + 0.728946i
\(964\) −8.17367 1.73737i −0.263256 0.0559568i
\(965\) −25.3331 + 10.3704i −0.815502 + 0.333834i
\(966\) 40.7479 + 2.09300i 1.31104 + 0.0673412i
\(967\) −1.93475 12.2156i −0.0622175 0.392826i −0.999071 0.0431028i \(-0.986276\pi\)
0.936853 0.349723i \(-0.113724\pi\)
\(968\) 2.56689 + 9.57975i 0.0825029 + 0.307905i
\(969\) −2.97347 + 28.2907i −0.0955217 + 0.908828i
\(970\) 6.03730 11.0101i 0.193846 0.353514i
\(971\) 9.85185 1.03547i 0.316161 0.0332298i 0.0548809 0.998493i \(-0.482522\pi\)
0.261280 + 0.965263i \(0.415855\pi\)
\(972\) 5.29555 33.4348i 0.169855 1.07242i
\(973\) −28.8168 + 9.39629i −0.923823 + 0.301231i
\(974\) 11.1906i 0.358570i
\(975\) 60.6951 38.7034i 1.94380 1.23950i
\(976\) 2.41008 1.39146i 0.0771447 0.0445395i
\(977\) 20.5478 1.07686i 0.657382 0.0344519i 0.279271 0.960212i \(-0.409907\pi\)
0.378111 + 0.925760i \(0.376574\pi\)
\(978\) −20.6864 + 25.5455i −0.661477 + 0.816856i
\(979\) 9.81350 7.12992i 0.313641 0.227873i
\(980\) 3.62249 + 15.2275i 0.115716 + 0.486425i
\(981\) 23.9615 + 17.4091i 0.765033 + 0.555829i
\(982\) −39.6399 + 10.6215i −1.26496 + 0.338945i
\(983\) 3.86240 3.12771i 0.123191 0.0997584i −0.565745 0.824580i \(-0.691411\pi\)
0.688936 + 0.724822i \(0.258078\pi\)
\(984\) −1.21147 5.69950i −0.0386202 0.181694i
\(985\) −3.56000 + 1.91384i −0.113431 + 0.0609799i
\(986\) 13.0269 4.23270i 0.414862 0.134797i
\(987\) 95.5442 + 30.9344i 3.04121 + 0.984651i
\(988\) 6.58470 + 12.9232i 0.209487 + 0.411142i
\(989\) −6.92285 + 32.5694i −0.220134 + 1.03565i
\(990\) −5.82513 + 16.2352i −0.185135 + 0.515989i
\(991\) −32.1318 + 6.82984i −1.02070 + 0.216957i −0.687720 0.725976i \(-0.741388\pi\)
−0.332982 + 0.942933i \(0.608055\pi\)
\(992\) 1.88509 4.91083i 0.0598517 0.155919i
\(993\) 21.4485 + 21.4485i 0.680647 + 0.680647i
\(994\) −7.47681 + 19.5385i −0.237150 + 0.619723i
\(995\) −16.7089 7.00242i −0.529707 0.221992i
\(996\) 1.18087 + 11.2352i 0.0374173 + 0.356002i
\(997\) 11.0241 4.23174i 0.349135 0.134021i −0.177479 0.984125i \(-0.556794\pi\)
0.526615 + 0.850104i \(0.323461\pi\)
\(998\) 0.672493 + 12.8319i 0.0212874 + 0.406187i
\(999\) 18.1164 31.3785i 0.573177 0.992771i
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 350.2.x.a.117.1 yes 320
7.3 odd 6 inner 350.2.x.a.17.20 yes 320
25.3 odd 20 inner 350.2.x.a.103.20 yes 320
175.3 even 60 inner 350.2.x.a.3.1 320
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
350.2.x.a.3.1 320 175.3 even 60 inner
350.2.x.a.17.20 yes 320 7.3 odd 6 inner
350.2.x.a.103.20 yes 320 25.3 odd 20 inner
350.2.x.a.117.1 yes 320 1.1 even 1 trivial