Properties

Label 558.2.bh.a.11.15
Level $558$
Weight $2$
Character 558.11
Analytic conductor $4.456$
Analytic rank $0$
Dimension $256$
Inner twists $2$

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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] = [558,2,Mod(11,558)] 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("558.11"); S:= CuspForms(chi, 2); N := Newforms(S);
 
Copy content sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(558, base_ring=CyclotomicField(30)) chi = DirichletCharacter(H, H._module([5, 23])) N = Newforms(chi, 2, names="a")
 
Level: \( N \) \(=\) \( 558 = 2 \cdot 3^{2} \cdot 31 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 558.bh (of order \(30\), degree \(8\), 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: \(4.45565243279\)
Analytic rank: \(0\)
Dimension: \(256\)
Relative dimension: \(32\) over \(\Q(\zeta_{30})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label 11.15
Character \(\chi\) \(=\) 558.11
Dual form 558.2.bh.a.203.15

$q$-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+(-0.207912 + 0.978148i) q^{2} +(1.64816 + 0.532508i) q^{3} +(-0.913545 - 0.406737i) q^{4} +(1.35823 + 0.784174i) q^{5} +(-0.863543 + 1.50143i) q^{6} +(-0.0650157 - 0.0289468i) q^{7} +(0.587785 - 0.809017i) q^{8} +(2.43287 + 1.75532i) q^{9} +(-1.04943 + 1.16551i) q^{10} +(-4.72150 + 3.43037i) q^{11} +(-1.28908 - 1.15684i) q^{12} +(-1.58931 + 1.43102i) q^{13} +(0.0418318 - 0.0575765i) q^{14} +(1.82100 + 2.01571i) q^{15} +(0.669131 + 0.743145i) q^{16} +(0.552343 - 0.245919i) q^{17} +(-2.22278 + 2.01476i) q^{18} +(6.86216 + 1.45860i) q^{19} +(-0.921852 - 1.26882i) q^{20} +(-0.0917419 - 0.0823304i) q^{21} +(-2.37375 - 5.33154i) q^{22} +(-0.289136 + 2.75094i) q^{23} +(1.39957 - 1.02039i) q^{24} +(-1.27014 - 2.19995i) q^{25} +(-1.06931 - 1.85211i) q^{26} +(3.07505 + 4.18857i) q^{27} +(0.0476210 + 0.0528885i) q^{28} +(6.41299 + 1.36312i) q^{29} +(-2.35027 + 1.36212i) q^{30} +(4.66817 - 3.03450i) q^{31} +(-0.866025 + 0.500000i) q^{32} +(-9.60849 + 3.13957i) q^{33} +(0.125706 + 0.591403i) q^{34} +(-0.0656068 - 0.0903000i) q^{35} +(-1.50859 - 2.59310i) q^{36} +(-4.86239 - 2.80730i) q^{37} +(-2.85345 + 6.40895i) q^{38} +(-3.38147 + 1.51224i) q^{39} +(1.43276 - 0.637904i) q^{40} +(0.182671 - 0.859398i) q^{41} +(0.0996055 - 0.0726197i) q^{42} +(1.16953 + 1.05305i) q^{43} +(5.70856 - 1.21339i) q^{44} +(1.92792 + 4.29192i) q^{45} +(-2.63071 - 0.854771i) q^{46} +(-2.81575 + 2.53531i) q^{47} +(0.707105 + 1.58114i) q^{48} +(-4.68053 - 5.19825i) q^{49} +(2.41596 - 0.784991i) q^{50} +(1.04130 - 0.111187i) q^{51} +(2.03396 - 0.660873i) q^{52} +(0.596147 - 5.67196i) q^{53} +(-4.73637 + 2.13700i) q^{54} +(-9.10288 + 0.956751i) q^{55} +(-0.0616337 + 0.0355843i) q^{56} +(10.5332 + 6.05816i) q^{57} +(-2.66667 + 5.98944i) q^{58} +(6.14797 + 1.99760i) q^{59} +(-0.843704 - 2.58211i) q^{60} +(-9.71142 - 5.60689i) q^{61} +(1.99762 + 5.19707i) q^{62} +(-0.107364 - 0.184547i) q^{63} +(-0.309017 - 0.951057i) q^{64} +(-3.28082 + 0.697359i) q^{65} +(-1.07324 - 10.0513i) q^{66} +(5.46242 - 9.46118i) q^{67} -0.604615 q^{68} +(-1.94144 + 4.38003i) q^{69} +(0.101967 - 0.0453987i) q^{70} +(4.95717 + 0.521020i) q^{71} +(2.85009 - 0.936485i) q^{72} +(4.35802 - 9.78828i) q^{73} +(3.75690 - 4.17246i) q^{74} +(-0.921909 - 4.30224i) q^{75} +(-5.67563 - 4.12359i) q^{76} +(0.406270 - 0.0863553i) q^{77} +(-0.776142 - 3.62199i) q^{78} +(-11.0842 - 1.16500i) q^{79} +(0.326078 + 1.53408i) q^{80} +(2.83773 + 8.54092i) q^{81} +(0.802639 + 0.357358i) q^{82} +(-3.66139 - 11.2686i) q^{83} +(0.0503236 + 0.112527i) q^{84} +(0.943052 + 0.0991187i) q^{85} +(-1.27319 + 0.925029i) q^{86} +(9.84377 + 5.66161i) q^{87} +5.83609i q^{88} +(-7.90469 + 5.74310i) q^{89} +(-4.59896 + 0.993454i) q^{90} +(0.144754 - 0.0470333i) q^{91} +(1.38305 - 2.39551i) q^{92} +(9.30979 - 2.51551i) q^{93} +(-1.89448 - 3.28134i) q^{94} +(8.17660 + 7.36224i) q^{95} +(-1.69360 + 0.362916i) q^{96} +(1.91022 + 18.1746i) q^{97} +(6.05779 - 3.49747i) q^{98} +(-17.5082 + 0.0579237i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 256 q - 32 q^{4} - 6 q^{5} - 2 q^{7} - 8 q^{9} - 4 q^{15} + 32 q^{16} - 8 q^{18} - 4 q^{19} - 6 q^{21} + 18 q^{23} + 134 q^{25} - 12 q^{26} - 18 q^{28} - 18 q^{30} - 50 q^{31} - 30 q^{33} - 4 q^{36} + 72 q^{37}+ \cdots - 66 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/558\mathbb{Z}\right)^\times\).

\(n\) \(127\) \(497\)
\(\chi(n)\) \(e\left(\frac{23}{30}\right)\) \(e\left(\frac{1}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.207912 + 0.978148i −0.147016 + 0.691655i
\(3\) 1.64816 + 0.532508i 0.951566 + 0.307443i
\(4\) −0.913545 0.406737i −0.456773 0.203368i
\(5\) 1.35823 + 0.784174i 0.607418 + 0.350693i 0.771954 0.635678i \(-0.219279\pi\)
−0.164536 + 0.986371i \(0.552613\pi\)
\(6\) −0.863543 + 1.50143i −0.352540 + 0.612956i
\(7\) −0.0650157 0.0289468i −0.0245736 0.0109409i 0.394413 0.918933i \(-0.370948\pi\)
−0.418987 + 0.907992i \(0.637615\pi\)
\(8\) 0.587785 0.809017i 0.207813 0.286031i
\(9\) 2.43287 + 1.75532i 0.810957 + 0.585106i
\(10\) −1.04943 + 1.16551i −0.331859 + 0.368566i
\(11\) −4.72150 + 3.43037i −1.42359 + 1.03430i −0.432418 + 0.901673i \(0.642340\pi\)
−0.991167 + 0.132622i \(0.957660\pi\)
\(12\) −1.28908 1.15684i −0.372125 0.333950i
\(13\) −1.58931 + 1.43102i −0.440796 + 0.396894i −0.859424 0.511264i \(-0.829178\pi\)
0.418628 + 0.908158i \(0.362511\pi\)
\(14\) 0.0418318 0.0575765i 0.0111800 0.0153880i
\(15\) 1.82100 + 2.01571i 0.470181 + 0.520455i
\(16\) 0.669131 + 0.743145i 0.167283 + 0.185786i
\(17\) 0.552343 0.245919i 0.133963 0.0596441i −0.338660 0.940909i \(-0.609974\pi\)
0.472623 + 0.881265i \(0.343307\pi\)
\(18\) −2.22278 + 2.01476i −0.523915 + 0.474883i
\(19\) 6.86216 + 1.45860i 1.57429 + 0.334625i 0.910569 0.413356i \(-0.135644\pi\)
0.663719 + 0.747982i \(0.268977\pi\)
\(20\) −0.921852 1.26882i −0.206132 0.283717i
\(21\) −0.0917419 0.0823304i −0.0200197 0.0179660i
\(22\) −2.37375 5.33154i −0.506086 1.13669i
\(23\) −0.289136 + 2.75094i −0.0602890 + 0.573612i 0.922125 + 0.386893i \(0.126452\pi\)
−0.982414 + 0.186718i \(0.940215\pi\)
\(24\) 1.39957 1.02039i 0.285687 0.208286i
\(25\) −1.27014 2.19995i −0.254029 0.439990i
\(26\) −1.06931 1.85211i −0.209710 0.363228i
\(27\) 3.07505 + 4.18857i 0.591793 + 0.806090i
\(28\) 0.0476210 + 0.0528885i 0.00899953 + 0.00999499i
\(29\) 6.41299 + 1.36312i 1.19086 + 0.253126i 0.760383 0.649475i \(-0.225011\pi\)
0.430479 + 0.902601i \(0.358345\pi\)
\(30\) −2.35027 + 1.36212i −0.429099 + 0.248688i
\(31\) 4.66817 3.03450i 0.838428 0.545012i
\(32\) −0.866025 + 0.500000i −0.153093 + 0.0883883i
\(33\) −9.60849 + 3.13957i −1.67262 + 0.546529i
\(34\) 0.125706 + 0.591403i 0.0215585 + 0.101425i
\(35\) −0.0656068 0.0903000i −0.0110896 0.0152635i
\(36\) −1.50859 2.59310i −0.251431 0.432183i
\(37\) −4.86239 2.80730i −0.799372 0.461517i 0.0438798 0.999037i \(-0.486028\pi\)
−0.843251 + 0.537519i \(0.819361\pi\)
\(38\) −2.85345 + 6.40895i −0.462890 + 1.03967i
\(39\) −3.38147 + 1.51224i −0.541469 + 0.242151i
\(40\) 1.43276 0.637904i 0.226539 0.100862i
\(41\) 0.182671 0.859398i 0.0285284 0.134215i −0.961579 0.274530i \(-0.911478\pi\)
0.990107 + 0.140314i \(0.0448112\pi\)
\(42\) 0.0996055 0.0726197i 0.0153695 0.0112055i
\(43\) 1.16953 + 1.05305i 0.178351 + 0.160588i 0.753471 0.657481i \(-0.228378\pi\)
−0.575120 + 0.818069i \(0.695045\pi\)
\(44\) 5.70856 1.21339i 0.860598 0.182926i
\(45\) 1.92792 + 4.29192i 0.287398 + 0.639801i
\(46\) −2.63071 0.854771i −0.387878 0.126029i
\(47\) −2.81575 + 2.53531i −0.410719 + 0.369813i −0.848434 0.529301i \(-0.822454\pi\)
0.437716 + 0.899114i \(0.355788\pi\)
\(48\) 0.707105 + 1.58114i 0.102062 + 0.228218i
\(49\) −4.68053 5.19825i −0.668646 0.742607i
\(50\) 2.41596 0.784991i 0.341668 0.111015i
\(51\) 1.04130 0.111187i 0.145812 0.0155693i
\(52\) 2.03396 0.660873i 0.282059 0.0916465i
\(53\) 0.596147 5.67196i 0.0818871 0.779104i −0.874110 0.485728i \(-0.838555\pi\)
0.955997 0.293376i \(-0.0947788\pi\)
\(54\) −4.73637 + 2.13700i −0.644539 + 0.290808i
\(55\) −9.10288 + 0.956751i −1.22743 + 0.129008i
\(56\) −0.0616337 + 0.0355843i −0.00823615 + 0.00475515i
\(57\) 10.5332 + 6.05816i 1.39516 + 0.802423i
\(58\) −2.66667 + 5.98944i −0.350151 + 0.786452i
\(59\) 6.14797 + 1.99760i 0.800398 + 0.260065i 0.680526 0.732724i \(-0.261752\pi\)
0.119872 + 0.992789i \(0.461752\pi\)
\(60\) −0.843704 2.58211i −0.108922 0.333349i
\(61\) −9.71142 5.60689i −1.24342 0.717889i −0.273631 0.961835i \(-0.588225\pi\)
−0.969789 + 0.243946i \(0.921558\pi\)
\(62\) 1.99762 + 5.19707i 0.253698 + 0.660028i
\(63\) −0.107364 0.184547i −0.0135266 0.0232507i
\(64\) −0.309017 0.951057i −0.0386271 0.118882i
\(65\) −3.28082 + 0.697359i −0.406935 + 0.0864968i
\(66\) −1.07324 10.0513i −0.132107 1.23723i
\(67\) 5.46242 9.46118i 0.667340 1.15587i −0.311305 0.950310i \(-0.600766\pi\)
0.978645 0.205557i \(-0.0659007\pi\)
\(68\) −0.604615 −0.0733203
\(69\) −1.94144 + 4.38003i −0.233722 + 0.527294i
\(70\) 0.101967 0.0453987i 0.0121874 0.00542618i
\(71\) 4.95717 + 0.521020i 0.588308 + 0.0618336i 0.394006 0.919108i \(-0.371089\pi\)
0.194302 + 0.980942i \(0.437756\pi\)
\(72\) 2.85009 0.936485i 0.335886 0.110366i
\(73\) 4.35802 9.78828i 0.510068 1.14563i −0.456617 0.889663i \(-0.650939\pi\)
0.966685 0.255968i \(-0.0823943\pi\)
\(74\) 3.75690 4.17246i 0.436731 0.485039i
\(75\) −0.921909 4.30224i −0.106453 0.496779i
\(76\) −5.67563 4.12359i −0.651040 0.473008i
\(77\) 0.406270 0.0863553i 0.0462987 0.00984110i
\(78\) −0.776142 3.62199i −0.0878808 0.410109i
\(79\) −11.0842 1.16500i −1.24707 0.131072i −0.542103 0.840312i \(-0.682372\pi\)
−0.704967 + 0.709240i \(0.749038\pi\)
\(80\) 0.326078 + 1.53408i 0.0364566 + 0.171515i
\(81\) 2.83773 + 8.54092i 0.315303 + 0.948991i
\(82\) 0.802639 + 0.357358i 0.0886367 + 0.0394636i
\(83\) −3.66139 11.2686i −0.401890 1.23689i −0.923464 0.383684i \(-0.874655\pi\)
0.521575 0.853206i \(-0.325345\pi\)
\(84\) 0.0503236 + 0.112527i 0.00549076 + 0.0122777i
\(85\) 0.943052 + 0.0991187i 0.102288 + 0.0107509i
\(86\) −1.27319 + 0.925029i −0.137292 + 0.0997485i
\(87\) 9.84377 + 5.66161i 1.05536 + 0.606988i
\(88\) 5.83609i 0.622130i
\(89\) −7.90469 + 5.74310i −0.837896 + 0.608767i −0.921782 0.387708i \(-0.873267\pi\)
0.0838863 + 0.996475i \(0.473267\pi\)
\(90\) −4.59896 + 0.993454i −0.484773 + 0.104719i
\(91\) 0.144754 0.0470333i 0.0151743 0.00493043i
\(92\) 1.38305 2.39551i 0.144193 0.249749i
\(93\) 9.30979 2.51551i 0.965380 0.260846i
\(94\) −1.89448 3.28134i −0.195401 0.338444i
\(95\) 8.17660 + 7.36224i 0.838901 + 0.755350i
\(96\) −1.69360 + 0.362916i −0.172853 + 0.0370399i
\(97\) 1.91022 + 18.1746i 0.193954 + 1.84535i 0.468120 + 0.883665i \(0.344932\pi\)
−0.274166 + 0.961682i \(0.588402\pi\)
\(98\) 6.05779 3.49747i 0.611929 0.353298i
\(99\) −17.5082 + 0.0579237i −1.75964 + 0.00582155i
\(100\) 0.265532 + 2.52637i 0.0265532 + 0.252637i
\(101\) 4.26368 + 9.57639i 0.424252 + 0.952886i 0.991592 + 0.129402i \(0.0413059\pi\)
−0.567340 + 0.823484i \(0.692027\pi\)
\(102\) −0.107742 + 1.04167i −0.0106680 + 0.103140i
\(103\) −4.39349 0.933865i −0.432903 0.0920165i −0.0136944 0.999906i \(-0.504359\pi\)
−0.419209 + 0.907890i \(0.637693\pi\)
\(104\) 0.223548 + 2.12691i 0.0219206 + 0.208561i
\(105\) −0.0600452 0.183765i −0.00585981 0.0179336i
\(106\) 5.42407 + 1.76239i 0.526832 + 0.171178i
\(107\) 3.05798 + 6.86834i 0.295626 + 0.663987i 0.998898 0.0469338i \(-0.0149450\pi\)
−0.703272 + 0.710921i \(0.748278\pi\)
\(108\) −1.10555 5.07718i −0.106382 0.488552i
\(109\) 5.85225 18.0114i 0.560544 1.72518i −0.120291 0.992739i \(-0.538383\pi\)
0.680835 0.732437i \(-0.261617\pi\)
\(110\) 0.956751 9.10288i 0.0912227 0.867926i
\(111\) −6.51909 7.21614i −0.618765 0.684926i
\(112\) −0.0219923 0.0676853i −0.00207808 0.00639566i
\(113\) 5.72474 0.601695i 0.538539 0.0566027i 0.168645 0.985677i \(-0.446061\pi\)
0.369893 + 0.929074i \(0.379394\pi\)
\(114\) −8.11576 + 9.04350i −0.760110 + 0.847001i
\(115\) −2.54993 + 3.50968i −0.237782 + 0.327279i
\(116\) −5.30412 3.85367i −0.492476 0.357804i
\(117\) −6.37849 + 0.691749i −0.589691 + 0.0639522i
\(118\) −3.23218 + 5.59830i −0.297546 + 0.515365i
\(119\) −0.0430295 −0.00394451
\(120\) 2.70110 0.288416i 0.246576 0.0263286i
\(121\) 7.12592 21.9313i 0.647811 1.99376i
\(122\) 7.50348 8.33346i 0.679333 0.754476i
\(123\) 0.758707 1.31915i 0.0684103 0.118944i
\(124\) −5.49883 + 0.873439i −0.493809 + 0.0784371i
\(125\) 11.8258i 1.05773i
\(126\) 0.202836 0.0666483i 0.0180701 0.00593750i
\(127\) 8.15952 7.34687i 0.724041 0.651929i −0.222345 0.974968i \(-0.571371\pi\)
0.946386 + 0.323039i \(0.104704\pi\)
\(128\) 0.994522 0.104528i 0.0879041 0.00923910i
\(129\) 1.36681 + 2.35837i 0.120341 + 0.207643i
\(130\) 3.35411i 0.294175i
\(131\) 2.09675 + 2.88592i 0.183193 + 0.252144i 0.890730 0.454532i \(-0.150194\pi\)
−0.707537 + 0.706677i \(0.750194\pi\)
\(132\) 10.0548 + 1.03999i 0.875155 + 0.0905191i
\(133\) −0.403926 0.293470i −0.0350249 0.0254471i
\(134\) 8.11873 + 7.31014i 0.701352 + 0.631500i
\(135\) 0.892051 + 8.10040i 0.0767755 + 0.697172i
\(136\) 0.125706 0.591403i 0.0107792 0.0507123i
\(137\) 1.75078 5.38834i 0.149579 0.460357i −0.847992 0.530008i \(-0.822189\pi\)
0.997571 + 0.0696516i \(0.0221888\pi\)
\(138\) −3.88067 2.80968i −0.330345 0.239176i
\(139\) 0.142302 + 0.669477i 0.0120699 + 0.0567843i 0.983770 0.179432i \(-0.0574260\pi\)
−0.971701 + 0.236216i \(0.924093\pi\)
\(140\) 0.0232065 + 0.109178i 0.00196130 + 0.00922721i
\(141\) −5.99087 + 2.67919i −0.504523 + 0.225629i
\(142\) −1.54029 + 4.74052i −0.129258 + 0.397815i
\(143\) 2.59499 12.2085i 0.217004 1.02093i
\(144\) 0.323454 + 2.98251i 0.0269545 + 0.248543i
\(145\) 7.64138 + 6.88033i 0.634582 + 0.571380i
\(146\) 8.66830 + 6.29789i 0.717394 + 0.521217i
\(147\) −4.94615 11.0600i −0.407952 0.912211i
\(148\) 3.30018 + 4.54231i 0.271273 + 0.373375i
\(149\) 15.0179i 1.23031i −0.788405 0.615156i \(-0.789093\pi\)
0.788405 0.615156i \(-0.210907\pi\)
\(150\) 4.39990 0.00727824i 0.359250 0.000594266i
\(151\) 0.552724 0.0580937i 0.0449801 0.00472759i −0.0820117 0.996631i \(-0.526134\pi\)
0.126992 + 0.991904i \(0.459468\pi\)
\(152\) 5.21351 4.69427i 0.422871 0.380755i
\(153\) 1.77545 + 0.371248i 0.143536 + 0.0300136i
\(154\) 0.415346i 0.0334695i
\(155\) 8.72002 0.460891i 0.700409 0.0370196i
\(156\) 3.70421 0.00612744i 0.296574 0.000490588i
\(157\) 7.56712 8.40414i 0.603922 0.670724i −0.361211 0.932484i \(-0.617636\pi\)
0.965133 + 0.261761i \(0.0843031\pi\)
\(158\) 3.44407 10.5998i 0.273996 0.843272i
\(159\) 4.00291 9.03086i 0.317451 0.716193i
\(160\) −1.56835 −0.123989
\(161\) 0.0984295 0.170485i 0.00775733 0.0134361i
\(162\) −8.94428 + 0.999959i −0.702729 + 0.0785642i
\(163\) 9.30747 + 6.76228i 0.729018 + 0.529662i 0.889253 0.457417i \(-0.151225\pi\)
−0.160235 + 0.987079i \(0.551225\pi\)
\(164\) −0.516427 + 0.710801i −0.0403262 + 0.0555042i
\(165\) −15.5125 3.27047i −1.20765 0.254606i
\(166\) 11.7836 1.23851i 0.914585 0.0961267i
\(167\) −2.71049 8.34203i −0.209744 0.645526i −0.999485 0.0320854i \(-0.989785\pi\)
0.789741 0.613440i \(-0.210215\pi\)
\(168\) −0.120531 + 0.0258282i −0.00929919 + 0.00199269i
\(169\) −0.880785 + 8.38011i −0.0677527 + 0.644624i
\(170\) −0.293024 + 0.901836i −0.0224739 + 0.0691676i
\(171\) 14.1345 + 15.5939i 1.08089 + 1.19249i
\(172\) −0.640103 1.43770i −0.0488074 0.109623i
\(173\) −4.62790 1.50370i −0.351853 0.114324i 0.127758 0.991805i \(-0.459222\pi\)
−0.479611 + 0.877481i \(0.659222\pi\)
\(174\) −7.58453 + 8.45154i −0.574981 + 0.640710i
\(175\) 0.0188975 + 0.179798i 0.00142852 + 0.0135914i
\(176\) −5.70856 1.21339i −0.430299 0.0914628i
\(177\) 9.06911 + 6.56620i 0.681676 + 0.493546i
\(178\) −3.97412 8.92601i −0.297873 0.669033i
\(179\) 1.28822 + 12.2566i 0.0962858 + 0.916098i 0.930903 + 0.365267i \(0.119022\pi\)
−0.834617 + 0.550831i \(0.814311\pi\)
\(180\) −0.0155660 4.70502i −0.00116022 0.350691i
\(181\) 15.2774 8.82041i 1.13556 0.655616i 0.190233 0.981739i \(-0.439076\pi\)
0.945327 + 0.326123i \(0.105742\pi\)
\(182\) 0.0159095 + 0.151369i 0.00117929 + 0.0112202i
\(183\) −13.0203 14.4125i −0.962486 1.06540i
\(184\) 2.05561 + 1.85088i 0.151542 + 0.136449i
\(185\) −4.40282 7.62591i −0.323702 0.560668i
\(186\) 0.524927 + 9.62935i 0.0384895 + 0.706058i
\(187\) −1.76429 + 3.05585i −0.129018 + 0.223466i
\(188\) 3.60352 1.17085i 0.262813 0.0853932i
\(189\) −0.0786804 0.361335i −0.00572315 0.0262833i
\(190\) −8.90137 + 6.46722i −0.645773 + 0.469182i
\(191\) 15.2794i 1.10558i 0.833321 + 0.552789i \(0.186437\pi\)
−0.833321 + 0.552789i \(0.813563\pi\)
\(192\) −0.00286513 1.73205i −0.000206773 0.125000i
\(193\) −13.8431 + 10.0576i −0.996448 + 0.723962i −0.961324 0.275421i \(-0.911183\pi\)
−0.0351244 + 0.999383i \(0.511183\pi\)
\(194\) −18.1746 1.91022i −1.30486 0.137146i
\(195\) −5.77867 0.597699i −0.413819 0.0428021i
\(196\) 2.16155 + 6.65258i 0.154397 + 0.475184i
\(197\) −7.31315 3.25603i −0.521041 0.231982i 0.129327 0.991602i \(-0.458718\pi\)
−0.650367 + 0.759620i \(0.725385\pi\)
\(198\) 3.58350 17.1376i 0.254668 1.21792i
\(199\) 1.55324 + 7.30743i 0.110106 + 0.518010i 0.998287 + 0.0585144i \(0.0186364\pi\)
−0.888180 + 0.459495i \(0.848030\pi\)
\(200\) −2.52637 0.265532i −0.178641 0.0187760i
\(201\) 14.0411 12.6848i 0.990382 0.894715i
\(202\) −10.2536 + 2.17947i −0.721440 + 0.153347i
\(203\) −0.377487 0.274260i −0.0264944 0.0192493i
\(204\) −0.996503 0.321962i −0.0697691 0.0225418i
\(205\) 0.922026 1.02401i 0.0643971 0.0715202i
\(206\) 1.82692 4.10332i 0.127287 0.285892i
\(207\) −5.53221 + 6.18517i −0.384515 + 0.429899i
\(208\) −2.12691 0.223548i −0.147475 0.0155002i
\(209\) −37.4032 + 16.6530i −2.58724 + 1.15191i
\(210\) 0.192234 0.0205261i 0.0132654 0.00141644i
\(211\) 9.49340 0.653552 0.326776 0.945102i \(-0.394038\pi\)
0.326776 + 0.945102i \(0.394038\pi\)
\(212\) −2.85160 + 4.93912i −0.195849 + 0.339220i
\(213\) 7.89277 + 3.49845i 0.540804 + 0.239710i
\(214\) −7.35404 + 1.56315i −0.502712 + 0.106855i
\(215\) 0.762714 + 2.34739i 0.0520166 + 0.160091i
\(216\) 5.19609 0.0257860i 0.353549 0.00175452i
\(217\) −0.391343 + 0.0621613i −0.0265661 + 0.00421979i
\(218\) 16.4010 + 9.46913i 1.11082 + 0.641331i
\(219\) 12.3951 13.8120i 0.837580 0.933328i
\(220\) 8.70504 + 2.82844i 0.586894 + 0.190693i
\(221\) −0.525929 + 1.18126i −0.0353778 + 0.0794599i
\(222\) 8.41385 4.87631i 0.564700 0.327277i
\(223\) 2.42599 1.40065i 0.162457 0.0937944i −0.416567 0.909105i \(-0.636767\pi\)
0.579024 + 0.815310i \(0.303434\pi\)
\(224\) 0.0707786 0.00743914i 0.00472910 0.000497048i
\(225\) 0.771518 7.58170i 0.0514345 0.505447i
\(226\) −0.601695 + 5.72474i −0.0400241 + 0.380804i
\(227\) −10.0681 + 3.27131i −0.668240 + 0.217124i −0.623440 0.781872i \(-0.714265\pi\)
−0.0448007 + 0.998996i \(0.514265\pi\)
\(228\) −7.15852 9.81866i −0.474084 0.650257i
\(229\) −22.8563 + 7.42646i −1.51039 + 0.490754i −0.943027 0.332717i \(-0.892035\pi\)
−0.567359 + 0.823471i \(0.692035\pi\)
\(230\) −2.90282 3.22391i −0.191407 0.212578i
\(231\) 0.715583 + 0.0740142i 0.0470819 + 0.00486978i
\(232\) 4.87225 4.38699i 0.319879 0.288020i
\(233\) −26.7984 8.70731i −1.75562 0.570435i −0.758887 0.651222i \(-0.774257\pi\)
−0.996731 + 0.0807869i \(0.974257\pi\)
\(234\) 0.649529 6.38292i 0.0424611 0.417265i
\(235\) −5.81255 + 1.23550i −0.379169 + 0.0805949i
\(236\) −4.80396 4.32550i −0.312711 0.281566i
\(237\) −17.6482 7.82252i −1.14637 0.508127i
\(238\) 0.00894634 0.0420892i 0.000579905 0.00272824i
\(239\) 2.77950 1.23751i 0.179791 0.0800482i −0.314867 0.949136i \(-0.601960\pi\)
0.494658 + 0.869088i \(0.335293\pi\)
\(240\) −0.279478 + 2.70204i −0.0180402 + 0.174416i
\(241\) 8.10617 18.2068i 0.522165 1.17280i −0.439417 0.898283i \(-0.644815\pi\)
0.961582 0.274518i \(-0.0885183\pi\)
\(242\) 19.9705 + 11.5300i 1.28375 + 0.741176i
\(243\) 0.128929 + 15.5879i 0.00827082 + 0.999966i
\(244\) 6.59129 + 9.07214i 0.421964 + 0.580784i
\(245\) −2.28089 10.7308i −0.145721 0.685563i
\(246\) 1.13258 + 1.01639i 0.0722108 + 0.0648030i
\(247\) −12.9934 + 7.50174i −0.826750 + 0.477324i
\(248\) 0.288918 5.56026i 0.0183463 0.353077i
\(249\) −0.0339475 20.5222i −0.00215133 1.30054i
\(250\) 11.5674 + 2.45872i 0.731585 + 0.155503i
\(251\) 12.5040 + 13.8871i 0.789246 + 0.876546i 0.994774 0.102105i \(-0.0325578\pi\)
−0.205528 + 0.978651i \(0.565891\pi\)
\(252\) 0.0230198 + 0.212261i 0.00145011 + 0.0133712i
\(253\) −8.07160 13.9804i −0.507457 0.878941i
\(254\) 5.48986 + 9.50872i 0.344464 + 0.596630i
\(255\) 1.50152 + 0.665546i 0.0940288 + 0.0416781i
\(256\) −0.104528 + 0.994522i −0.00653303 + 0.0621576i
\(257\) 0.315418 + 0.708440i 0.0196752 + 0.0441913i 0.923116 0.384522i \(-0.125634\pi\)
−0.903441 + 0.428713i \(0.858967\pi\)
\(258\) −2.59101 + 0.846613i −0.161309 + 0.0527078i
\(259\) 0.234869 + 0.323269i 0.0145940 + 0.0200870i
\(260\) 3.28082 + 0.697359i 0.203468 + 0.0432484i
\(261\) 13.2093 + 14.5731i 0.817633 + 0.902054i
\(262\) −3.25880 + 1.45091i −0.201329 + 0.0896375i
\(263\) 4.95577 + 5.50395i 0.305586 + 0.339388i 0.876304 0.481758i \(-0.160002\pi\)
−0.570718 + 0.821146i \(0.693335\pi\)
\(264\) −3.10776 + 9.61882i −0.191270 + 0.591998i
\(265\) 5.25751 7.23634i 0.322966 0.444525i
\(266\) 0.371038 0.334084i 0.0227498 0.0204840i
\(267\) −16.0864 + 5.25624i −0.984475 + 0.321677i
\(268\) −8.83838 + 6.42146i −0.539890 + 0.392253i
\(269\) −8.76500 + 9.73452i −0.534411 + 0.593524i −0.948525 0.316701i \(-0.897425\pi\)
0.414114 + 0.910225i \(0.364091\pi\)
\(270\) −8.10886 0.811611i −0.493489 0.0493931i
\(271\) −7.32469 + 10.0816i −0.444943 + 0.612412i −0.971302 0.237851i \(-0.923557\pi\)
0.526359 + 0.850263i \(0.323557\pi\)
\(272\) 0.552343 + 0.245919i 0.0334907 + 0.0149110i
\(273\) 0.263623 0.000436081i 0.0159552 2.63928e-5i
\(274\) 4.90658 + 2.83282i 0.296418 + 0.171137i
\(275\) 13.5436 + 6.03001i 0.816711 + 0.363623i
\(276\) 3.55511 3.21170i 0.213993 0.193322i
\(277\) −3.64949 + 17.1695i −0.219277 + 1.03162i 0.721454 + 0.692462i \(0.243474\pi\)
−0.940731 + 0.339154i \(0.889859\pi\)
\(278\) −0.684434 −0.0410496
\(279\) 16.6836 + 0.811564i 0.998819 + 0.0485871i
\(280\) −0.111617 −0.00667039
\(281\) 4.56878 21.4944i 0.272550 1.28225i −0.602462 0.798148i \(-0.705813\pi\)
0.875012 0.484101i \(-0.160853\pi\)
\(282\) −1.37507 6.41700i −0.0818844 0.382127i
\(283\) 3.39422 + 1.51121i 0.201766 + 0.0898319i 0.505132 0.863042i \(-0.331444\pi\)
−0.303366 + 0.952874i \(0.598111\pi\)
\(284\) −4.31668 2.49224i −0.256148 0.147887i
\(285\) 9.55590 + 16.4883i 0.566043 + 0.976680i
\(286\) 11.4022 + 5.07658i 0.674225 + 0.300184i
\(287\) −0.0367533 + 0.0505866i −0.00216948 + 0.00298603i
\(288\) −2.98459 0.303713i −0.175868 0.0178965i
\(289\) −11.1306 + 12.3618i −0.654742 + 0.727165i
\(290\) −8.31871 + 6.04390i −0.488492 + 0.354910i
\(291\) −6.52974 + 30.9718i −0.382780 + 1.81560i
\(292\) −7.96251 + 7.16947i −0.465970 + 0.419562i
\(293\) −11.0947 + 15.2706i −0.648161 + 0.892117i −0.999018 0.0443123i \(-0.985890\pi\)
0.350857 + 0.936429i \(0.385890\pi\)
\(294\) 11.8466 2.53857i 0.690910 0.148052i
\(295\) 6.78389 + 7.53427i 0.394973 + 0.438662i
\(296\) −5.12919 + 2.28366i −0.298128 + 0.132735i
\(297\) −28.8872 9.22777i −1.67620 0.535450i
\(298\) 14.6897 + 3.12239i 0.850952 + 0.180875i
\(299\) −3.47713 4.78587i −0.201088 0.276774i
\(300\) −0.907671 + 4.30526i −0.0524044 + 0.248564i
\(301\) −0.0455552 0.102319i −0.00262576 0.00589755i
\(302\) −0.0580937 + 0.552724i −0.00334291 + 0.0318057i
\(303\) 1.92774 + 18.0539i 0.110746 + 1.03717i
\(304\) 3.50773 + 6.07557i 0.201182 + 0.348458i
\(305\) −8.79355 15.2309i −0.503517 0.872118i
\(306\) −0.732271 + 1.65946i −0.0418611 + 0.0948651i
\(307\) 10.5314 + 11.6963i 0.601057 + 0.667541i 0.964502 0.264074i \(-0.0850664\pi\)
−0.363446 + 0.931615i \(0.618400\pi\)
\(308\) −0.406270 0.0863553i −0.0231494 0.00492055i
\(309\) −6.74389 3.87873i −0.383646 0.220653i
\(310\) −1.36217 + 8.62529i −0.0773663 + 0.489884i
\(311\) −9.64079 + 5.56611i −0.546679 + 0.315625i −0.747782 0.663945i \(-0.768881\pi\)
0.201102 + 0.979570i \(0.435548\pi\)
\(312\) −0.764155 + 3.62454i −0.0432617 + 0.205199i
\(313\) 4.42485 + 20.8173i 0.250107 + 1.17666i 0.906487 + 0.422233i \(0.138754\pi\)
−0.656380 + 0.754430i \(0.727913\pi\)
\(314\) 6.64720 + 9.14908i 0.375123 + 0.516313i
\(315\) −0.00110781 0.334849i −6.24179e−5 0.0188666i
\(316\) 9.65207 + 5.57263i 0.542971 + 0.313485i
\(317\) 5.68052 12.7587i 0.319050 0.716598i −0.680824 0.732447i \(-0.738378\pi\)
0.999874 + 0.0158486i \(0.00504498\pi\)
\(318\) 8.00126 + 5.79306i 0.448688 + 0.324858i
\(319\) −34.9549 + 15.5629i −1.95710 + 0.871357i
\(320\) 0.326078 1.53408i 0.0182283 0.0857574i
\(321\) 1.38260 + 12.9485i 0.0771695 + 0.722716i
\(322\) 0.146295 + 0.131724i 0.00815269 + 0.00734071i
\(323\) 4.14897 0.881890i 0.230855 0.0490697i
\(324\) 0.881512 8.95673i 0.0489729 0.497596i
\(325\) 5.16683 + 1.67881i 0.286604 + 0.0931234i
\(326\) −8.54964 + 7.69813i −0.473521 + 0.426360i
\(327\) 19.2366 26.5693i 1.06379 1.46928i
\(328\) −0.587897 0.652925i −0.0324612 0.0360518i
\(329\) 0.256457 0.0833279i 0.0141389 0.00459401i
\(330\) 6.42423 14.4935i 0.353642 0.797843i
\(331\) −6.58713 + 2.14029i −0.362061 + 0.117641i −0.484398 0.874848i \(-0.660961\pi\)
0.122336 + 0.992489i \(0.460961\pi\)
\(332\) −1.23851 + 11.7836i −0.0679719 + 0.646709i
\(333\) −6.90186 15.3648i −0.378220 0.841988i
\(334\) 8.72328 0.916853i 0.477317 0.0501680i
\(335\) 14.8384 8.56697i 0.810710 0.468063i
\(336\) −0.000203907 0.123267i −1.11240e−5 0.00672478i
\(337\) 6.15305 13.8200i 0.335178 0.752822i −0.664805 0.747017i \(-0.731485\pi\)
0.999983 0.00580539i \(-0.00184792\pi\)
\(338\) −8.01386 2.60386i −0.435896 0.141631i
\(339\) 9.75571 + 2.05678i 0.529857 + 0.111709i
\(340\) −0.821205 0.474123i −0.0445361 0.0257129i
\(341\) −11.6313 + 30.3409i −0.629870 + 1.64305i
\(342\) −18.1918 + 10.5834i −0.983700 + 0.572287i
\(343\) 0.307781 + 0.947251i 0.0166186 + 0.0511467i
\(344\) 1.53936 0.327202i 0.0829969 0.0176415i
\(345\) −6.07163 + 4.42666i −0.326885 + 0.238323i
\(346\) 2.43303 4.21414i 0.130801 0.226553i
\(347\) −34.0070 −1.82559 −0.912796 0.408417i \(-0.866081\pi\)
−0.912796 + 0.408417i \(0.866081\pi\)
\(348\) −6.68994 9.17596i −0.358619 0.491883i
\(349\) −12.7731 + 5.68693i −0.683726 + 0.304415i −0.719047 0.694961i \(-0.755421\pi\)
0.0353207 + 0.999376i \(0.488755\pi\)
\(350\) −0.179798 0.0188975i −0.00961061 0.00101012i
\(351\) −10.8811 2.25648i −0.580792 0.120442i
\(352\) 2.37375 5.33154i 0.126521 0.284172i
\(353\) −15.4984 + 17.2127i −0.824897 + 0.916141i −0.997629 0.0688278i \(-0.978074\pi\)
0.172731 + 0.984969i \(0.444741\pi\)
\(354\) −8.30829 + 7.50574i −0.441581 + 0.398926i
\(355\) 6.32440 + 4.59495i 0.335664 + 0.243874i
\(356\) 9.55722 2.03145i 0.506532 0.107667i
\(357\) −0.0709196 0.0229136i −0.00375346 0.00121271i
\(358\) −12.2566 1.28822i −0.647779 0.0680843i
\(359\) −2.74545 12.9163i −0.144899 0.681698i −0.989289 0.145969i \(-0.953370\pi\)
0.844390 0.535729i \(-0.179963\pi\)
\(360\) 4.60544 + 0.963002i 0.242728 + 0.0507547i
\(361\) 27.6044 + 12.2903i 1.45286 + 0.646857i
\(362\) 5.45131 + 16.7774i 0.286515 + 0.881802i
\(363\) 23.4233 32.3518i 1.22940 1.69803i
\(364\) −0.151369 0.0159095i −0.00793390 0.000833887i
\(365\) 13.5949 9.87728i 0.711590 0.517000i
\(366\) 16.8046 9.73923i 0.878390 0.509078i
\(367\) 30.1627i 1.57448i −0.616645 0.787241i \(-0.711509\pi\)
0.616645 0.787241i \(-0.288491\pi\)
\(368\) −2.23782 + 1.62587i −0.116654 + 0.0847544i
\(369\) 1.95293 1.77016i 0.101666 0.0921509i
\(370\) 8.37467 2.72109i 0.435378 0.141463i
\(371\) −0.202944 + 0.351510i −0.0105363 + 0.0182495i
\(372\) −9.52807 1.48860i −0.494007 0.0771802i
\(373\) −1.05494 1.82720i −0.0546225 0.0946090i 0.837421 0.546558i \(-0.184062\pi\)
−0.892044 + 0.451949i \(0.850729\pi\)
\(374\) −2.62225 2.36109i −0.135593 0.122089i
\(375\) 6.29732 19.4908i 0.325192 1.00650i
\(376\) 0.396054 + 3.76820i 0.0204249 + 0.194330i
\(377\) −12.1429 + 7.01070i −0.625391 + 0.361070i
\(378\) 0.369798 0.00183515i 0.0190204 9.43902e-5i
\(379\) 2.28576 + 21.7476i 0.117412 + 1.11710i 0.881565 + 0.472063i \(0.156491\pi\)
−0.764153 + 0.645035i \(0.776843\pi\)
\(380\) −4.47520 10.0515i −0.229573 0.515629i
\(381\) 17.3605 7.76382i 0.889404 0.397752i
\(382\) −14.9455 3.17677i −0.764679 0.162538i
\(383\) −0.137707 1.31020i −0.00703652 0.0669480i 0.990440 0.137943i \(-0.0440491\pi\)
−0.997477 + 0.0709953i \(0.977382\pi\)
\(384\) 1.69479 + 0.357311i 0.0864871 + 0.0182339i
\(385\) 0.619525 + 0.201296i 0.0315739 + 0.0102590i
\(386\) −6.95968 15.6317i −0.354238 0.795632i
\(387\) 0.996879 + 4.61482i 0.0506742 + 0.234584i
\(388\) 5.64719 17.3802i 0.286692 0.882348i
\(389\) 2.54448 24.2091i 0.129010 1.22745i −0.718065 0.695976i \(-0.754972\pi\)
0.847075 0.531473i \(-0.178361\pi\)
\(390\) 1.78609 5.52812i 0.0904422 0.279927i
\(391\) 0.516807 + 1.59057i 0.0261361 + 0.0804385i
\(392\) −6.95662 + 0.731170i −0.351362 + 0.0369297i
\(393\) 1.91900 + 5.87300i 0.0968007 + 0.296254i
\(394\) 4.70536 6.47638i 0.237053 0.326275i
\(395\) −14.1413 10.2743i −0.711527 0.516955i
\(396\) 16.0181 + 7.06830i 0.804939 + 0.355196i
\(397\) 11.0088 19.0678i 0.552517 0.956987i −0.445575 0.895244i \(-0.647001\pi\)
0.998092 0.0617427i \(-0.0196658\pi\)
\(398\) −7.47068 −0.374471
\(399\) −0.509461 0.698779i −0.0255050 0.0349827i
\(400\) 0.784991 2.41596i 0.0392496 0.120798i
\(401\) −0.138603 + 0.153934i −0.00692150 + 0.00768710i −0.746596 0.665278i \(-0.768313\pi\)
0.739674 + 0.672965i \(0.234980\pi\)
\(402\) 9.48828 + 16.3716i 0.473232 + 0.816540i
\(403\) −3.07673 + 11.5030i −0.153263 + 0.573006i
\(404\) 10.4827i 0.521532i
\(405\) −2.84328 + 13.8258i −0.141284 + 0.687009i
\(406\) 0.346751 0.312216i 0.0172090 0.0154950i
\(407\) 32.5878 3.42512i 1.61532 0.169777i
\(408\) 0.522111 0.907787i 0.0258483 0.0449422i
\(409\) 21.7194i 1.07396i 0.843596 + 0.536978i \(0.180434\pi\)
−0.843596 + 0.536978i \(0.819566\pi\)
\(410\) 0.809937 + 1.11478i 0.0399999 + 0.0550552i
\(411\) 5.75489 7.94855i 0.283868 0.392073i
\(412\) 3.63382 + 2.64012i 0.179025 + 0.130069i
\(413\) −0.341890 0.307840i −0.0168233 0.0151478i
\(414\) −4.89980 6.69729i −0.240812 0.329154i
\(415\) 3.86354 18.1765i 0.189654 0.892250i
\(416\) 0.660873 2.03396i 0.0324019 0.0997229i
\(417\) −0.121965 + 1.17918i −0.00597267 + 0.0577449i
\(418\) −8.51251 40.0482i −0.416361 1.95882i
\(419\) 7.94668 + 37.3862i 0.388221 + 1.82644i 0.544547 + 0.838730i \(0.316701\pi\)
−0.156327 + 0.987705i \(0.549965\pi\)
\(420\) −0.0198900 + 0.192300i −0.000970534 + 0.00938330i
\(421\) 9.19910 28.3119i 0.448337 1.37984i −0.430446 0.902616i \(-0.641644\pi\)
0.878783 0.477222i \(-0.158356\pi\)
\(422\) −1.97379 + 9.28594i −0.0960825 + 0.452033i
\(423\) −11.3006 + 1.22556i −0.549455 + 0.0595886i
\(424\) −4.23831 3.81619i −0.205830 0.185331i
\(425\) −1.24256 0.902776i −0.0602732 0.0437911i
\(426\) −5.06300 + 6.99292i −0.245303 + 0.338808i
\(427\) 0.469093 + 0.645651i 0.0227010 + 0.0312452i
\(428\) 7.51833i 0.363412i
\(429\) 10.7781 18.7397i 0.520371 0.904762i
\(430\) −2.45467 + 0.257996i −0.118375 + 0.0124417i
\(431\) 17.2379 15.5211i 0.830322 0.747626i −0.139816 0.990177i \(-0.544651\pi\)
0.970138 + 0.242552i \(0.0779845\pi\)
\(432\) −1.05510 + 5.08790i −0.0507638 + 0.244792i
\(433\) 0.450667i 0.0216577i 0.999941 + 0.0108288i \(0.00344699\pi\)
−0.999941 + 0.0108288i \(0.996553\pi\)
\(434\) 0.0205619 0.395716i 0.000987002 0.0189950i
\(435\) 8.93040 + 15.4090i 0.428180 + 0.738804i
\(436\) −12.6722 + 14.0739i −0.606887 + 0.674016i
\(437\) −5.99662 + 18.4557i −0.286857 + 0.882856i
\(438\) 10.9331 + 14.9959i 0.522403 + 0.716530i
\(439\) −9.98659 −0.476634 −0.238317 0.971187i \(-0.576596\pi\)
−0.238317 + 0.971187i \(0.576596\pi\)
\(440\) −4.57651 + 7.92675i −0.218177 + 0.377893i
\(441\) −2.26254 20.8625i −0.107740 0.993451i
\(442\) −1.04610 0.760034i −0.0497577 0.0361511i
\(443\) 19.1804 26.3995i 0.911287 1.25428i −0.0554379 0.998462i \(-0.517655\pi\)
0.966725 0.255817i \(-0.0823445\pi\)
\(444\) 3.02042 + 9.24383i 0.143343 + 0.438693i
\(445\) −15.2400 + 1.60179i −0.722444 + 0.0759319i
\(446\) 0.865648 + 2.66419i 0.0409896 + 0.126153i
\(447\) 7.99713 24.7519i 0.378252 1.17072i
\(448\) −0.00743914 + 0.0707786i −0.000351466 + 0.00334398i
\(449\) −5.13950 + 15.8178i −0.242548 + 0.746486i 0.753482 + 0.657468i \(0.228373\pi\)
−0.996030 + 0.0890176i \(0.971627\pi\)
\(450\) 7.25562 + 2.33098i 0.342033 + 0.109884i
\(451\) 2.08557 + 4.68428i 0.0982058 + 0.220574i
\(452\) −5.47454 1.77879i −0.257501 0.0836671i
\(453\) 0.941914 + 0.198582i 0.0442550 + 0.00933020i
\(454\) −1.10656 10.5282i −0.0519333 0.494112i
\(455\) 0.233491 + 0.0496300i 0.0109462 + 0.00232669i
\(456\) 11.0924 4.96067i 0.519451 0.232305i
\(457\) −8.89182 19.9714i −0.415942 0.934221i −0.993065 0.117564i \(-0.962492\pi\)
0.577124 0.816657i \(-0.304175\pi\)
\(458\) −2.51208 23.9009i −0.117382 1.11681i
\(459\) 2.72853 + 1.55731i 0.127357 + 0.0726892i
\(460\) 3.75699 2.16910i 0.175171 0.101135i
\(461\) −2.28231 21.7147i −0.106298 1.01136i −0.909515 0.415670i \(-0.863547\pi\)
0.803218 0.595686i \(-0.203120\pi\)
\(462\) −0.221175 + 0.684557i −0.0102900 + 0.0318485i
\(463\) 8.44668 + 7.60543i 0.392551 + 0.353454i 0.841646 0.540030i \(-0.181587\pi\)
−0.449095 + 0.893484i \(0.648254\pi\)
\(464\) 3.27813 + 5.67789i 0.152183 + 0.263589i
\(465\) 14.6174 + 3.88385i 0.677867 + 0.180109i
\(466\) 14.0887 24.4024i 0.652648 1.13042i
\(467\) 2.98617 0.970264i 0.138183 0.0448985i −0.239109 0.970993i \(-0.576855\pi\)
0.377292 + 0.926094i \(0.376855\pi\)
\(468\) 6.10840 + 1.96242i 0.282361 + 0.0907129i
\(469\) −0.629014 + 0.457005i −0.0290452 + 0.0211026i
\(470\) 5.94241i 0.274103i
\(471\) 16.9471 9.82183i 0.780882 0.452566i
\(472\) 5.22978 3.79966i 0.240720 0.174893i
\(473\) −9.13426 0.960049i −0.419994 0.0441431i
\(474\) 11.3208 15.6361i 0.519983 0.718191i
\(475\) −5.50708 16.9491i −0.252682 0.777676i
\(476\) 0.0393094 + 0.0175017i 0.00180175 + 0.000802189i
\(477\) 11.4064 12.7527i 0.522265 0.583907i
\(478\) 0.632581 + 2.97606i 0.0289336 + 0.136122i
\(479\) −37.7433 3.96698i −1.72453 0.181256i −0.810183 0.586178i \(-0.800632\pi\)
−0.914351 + 0.404922i \(0.867299\pi\)
\(480\) −2.58489 0.835157i −0.117984 0.0381195i
\(481\) 11.7452 2.49651i 0.535533 0.113831i
\(482\) 16.1235 + 11.7144i 0.734407 + 0.533578i
\(483\) 0.253012 0.228572i 0.0115125 0.0104004i
\(484\) −15.4301 + 17.1369i −0.701370 + 0.778950i
\(485\) −11.6575 + 26.1832i −0.529340 + 1.18892i
\(486\) −15.2741 3.11480i −0.692847 0.141290i
\(487\) −1.19534 0.125635i −0.0541660 0.00569308i 0.0774067 0.997000i \(-0.475336\pi\)
−0.131573 + 0.991307i \(0.542003\pi\)
\(488\) −10.2443 + 4.56105i −0.463738 + 0.206469i
\(489\) 11.7393 + 16.1016i 0.530867 + 0.728140i
\(490\) 10.9705 0.495596
\(491\) −12.2570 + 21.2297i −0.553149 + 0.958083i 0.444896 + 0.895582i \(0.353241\pi\)
−0.998045 + 0.0625003i \(0.980093\pi\)
\(492\) −1.22966 + 0.896513i −0.0554374 + 0.0404179i
\(493\) 3.87739 0.824164i 0.174629 0.0371185i
\(494\) −4.63633 14.2692i −0.208598 0.642000i
\(495\) −23.8255 13.6508i −1.07088 0.613557i
\(496\) 5.37869 + 1.43865i 0.241510 + 0.0645972i
\(497\) −0.307212 0.177369i −0.0137803 0.00795608i
\(498\) 20.0808 + 4.23360i 0.899842 + 0.189712i
\(499\) 19.5755 + 6.36048i 0.876321 + 0.284734i 0.712429 0.701744i \(-0.247595\pi\)
0.163892 + 0.986478i \(0.447595\pi\)
\(500\) −4.80998 + 10.8034i −0.215109 + 0.483143i
\(501\) −0.0251310 15.1924i −0.00112277 0.678745i
\(502\) −16.1834 + 9.34347i −0.722299 + 0.417019i
\(503\) −32.4263 + 3.40814i −1.44582 + 0.151962i −0.794695 0.607010i \(-0.792369\pi\)
−0.651124 + 0.758971i \(0.725702\pi\)
\(504\) −0.212409 0.0216148i −0.00946143 0.000962800i
\(505\) −1.71850 + 16.3504i −0.0764721 + 0.727583i
\(506\) 15.3531 4.98852i 0.682528 0.221767i
\(507\) −5.91415 + 13.3427i −0.262656 + 0.592572i
\(508\) −10.4423 + 3.39292i −0.463304 + 0.150537i
\(509\) −5.12793 5.69514i −0.227292 0.252433i 0.618702 0.785626i \(-0.287659\pi\)
−0.845994 + 0.533193i \(0.820992\pi\)
\(510\) −0.963185 + 1.33033i −0.0426506 + 0.0589081i
\(511\) −0.566680 + 0.510241i −0.0250684 + 0.0225717i
\(512\) −0.951057 0.309017i −0.0420312 0.0136568i
\(513\) 14.9920 + 33.2279i 0.661914 + 1.46705i
\(514\) −0.758538 + 0.161232i −0.0334577 + 0.00711165i
\(515\) −5.23505 4.71366i −0.230684 0.207709i
\(516\) −0.289410 2.71041i −0.0127406 0.119319i
\(517\) 4.59749 21.6295i 0.202198 0.951265i
\(518\) −0.365037 + 0.162525i −0.0160388 + 0.00714094i
\(519\) −6.82680 4.94273i −0.299663 0.216962i
\(520\) −1.36424 + 3.06413i −0.0598259 + 0.134371i
\(521\) 4.21515 + 2.43362i 0.184669 + 0.106619i 0.589485 0.807780i \(-0.299331\pi\)
−0.404815 + 0.914398i \(0.632664\pi\)
\(522\) −17.0010 + 9.89069i −0.744115 + 0.432904i
\(523\) 7.04081 + 9.69084i 0.307873 + 0.423751i 0.934716 0.355394i \(-0.115653\pi\)
−0.626843 + 0.779145i \(0.715653\pi\)
\(524\) −0.741662 3.48924i −0.0323996 0.152428i
\(525\) −0.0645976 + 0.306399i −0.00281927 + 0.0133724i
\(526\) −6.41403 + 3.70314i −0.279665 + 0.161465i
\(527\) 1.83219 2.82408i 0.0798114 0.123019i
\(528\) −8.76249 5.03972i −0.381338 0.219326i
\(529\) 15.0133 + 3.19118i 0.652752 + 0.138747i
\(530\) 5.98511 + 6.64714i 0.259977 + 0.288733i
\(531\) 11.4508 + 15.6515i 0.496923 + 0.679219i
\(532\) 0.249640 + 0.432390i 0.0108233 + 0.0187465i
\(533\) 0.939497 + 1.62726i 0.0406941 + 0.0704843i
\(534\) −1.79682 16.8278i −0.0777559 0.728208i
\(535\) −1.23253 + 11.7268i −0.0532870 + 0.506992i
\(536\) −4.44353 9.98033i −0.191931 0.431085i
\(537\) −4.40352 + 20.8868i −0.190026 + 0.901330i
\(538\) −7.69945 10.5974i −0.331947 0.456886i
\(539\) 39.9310 + 8.48760i 1.71995 + 0.365587i
\(540\) 2.47980 7.76292i 0.106714 0.334063i
\(541\) 34.4192 15.3244i 1.47980 0.658847i 0.501330 0.865256i \(-0.332844\pi\)
0.978466 + 0.206409i \(0.0661778\pi\)
\(542\) −8.33837 9.26070i −0.358164 0.397781i
\(543\) 29.8766 6.40213i 1.28213 0.274742i
\(544\) −0.355384 + 0.489144i −0.0152369 + 0.0209719i
\(545\) 22.0727 19.8744i 0.945492 0.851325i
\(546\) −0.0543838 + 0.257953i −0.00232741 + 0.0110394i
\(547\) 2.05098 1.49012i 0.0876935 0.0637131i −0.543075 0.839684i \(-0.682740\pi\)
0.630768 + 0.775971i \(0.282740\pi\)
\(548\) −3.79105 + 4.21039i −0.161946 + 0.179859i
\(549\) −13.7848 30.6875i −0.588319 1.30971i
\(550\) −8.71412 + 11.9940i −0.371571 + 0.511424i
\(551\) 42.0187 + 18.7079i 1.79006 + 0.796985i
\(552\) 2.40237 + 4.14518i 0.102252 + 0.176430i
\(553\) 0.686924 + 0.396595i 0.0292110 + 0.0168650i
\(554\) −16.0356 7.13949i −0.681285 0.303328i
\(555\) −3.19571 14.9133i −0.135650 0.633033i
\(556\) 0.142302 0.669477i 0.00603494 0.0283922i
\(557\) −42.6518 −1.80722 −0.903608 0.428361i \(-0.859091\pi\)
−0.903608 + 0.428361i \(0.859091\pi\)
\(558\) −4.26254 + 16.1503i −0.180448 + 0.683695i
\(559\) −3.36568 −0.142353
\(560\) 0.0232065 0.109178i 0.000980652 0.00461361i
\(561\) −4.53510 + 4.09703i −0.191472 + 0.172977i
\(562\) 20.0748 + 8.93787i 0.846804 + 0.377021i
\(563\) −26.5068 15.3037i −1.11713 0.644973i −0.176461 0.984308i \(-0.556465\pi\)
−0.940666 + 0.339334i \(0.889798\pi\)
\(564\) 6.56266 0.0108559i 0.276338 0.000457114i
\(565\) 8.24734 + 3.67195i 0.346968 + 0.154480i
\(566\) −2.18388 + 3.00585i −0.0917954 + 0.126345i
\(567\) 0.0627359 0.637437i 0.00263466 0.0267698i
\(568\) 3.33526 3.70419i 0.139945 0.155424i
\(569\) 28.0464 20.3769i 1.17577 0.854245i 0.184079 0.982911i \(-0.441070\pi\)
0.991688 + 0.128667i \(0.0410697\pi\)
\(570\) −18.1147 + 5.91898i −0.758743 + 0.247919i
\(571\) −10.8024 + 9.72655i −0.452068 + 0.407044i −0.863462 0.504414i \(-0.831709\pi\)
0.411394 + 0.911457i \(0.365042\pi\)
\(572\) −7.33629 + 10.0975i −0.306746 + 0.422199i
\(573\) −8.13640 + 25.1829i −0.339903 + 1.05203i
\(574\) −0.0418397 0.0464677i −0.00174636 0.00193953i
\(575\) 6.41919 2.85801i 0.267699 0.119187i
\(576\) 0.917607 2.85622i 0.0382336 0.119009i
\(577\) −19.8244 4.21380i −0.825299 0.175423i −0.224145 0.974556i \(-0.571959\pi\)
−0.601154 + 0.799133i \(0.705292\pi\)
\(578\) −9.77748 13.4575i −0.406690 0.559760i
\(579\) −28.1714 + 9.20499i −1.17076 + 0.382547i
\(580\) −4.18227 9.39352i −0.173659 0.390045i
\(581\) −0.0881427 + 0.838621i −0.00365677 + 0.0347919i
\(582\) −28.9374 12.8264i −1.19949 0.531673i
\(583\) 16.6422 + 28.8252i 0.689250 + 1.19382i
\(584\) −5.35730 9.27912i −0.221687 0.383973i
\(585\) −9.20589 4.06229i −0.380617 0.167955i
\(586\) −12.6302 14.0272i −0.521747 0.579459i
\(587\) −12.4562 2.64764i −0.514122 0.109280i −0.0564575 0.998405i \(-0.517981\pi\)
−0.457664 + 0.889125i \(0.651314\pi\)
\(588\) 0.0200414 + 12.1156i 0.000826493 + 0.499638i
\(589\) 36.4599 14.0143i 1.50230 0.577448i
\(590\) −8.78008 + 5.06918i −0.361470 + 0.208695i
\(591\) −10.3194 9.26077i −0.424483 0.380937i
\(592\) −1.16734 5.49191i −0.0479774 0.225716i
\(593\) 4.30181 + 5.92093i 0.176654 + 0.243143i 0.888157 0.459539i \(-0.151985\pi\)
−0.711504 + 0.702683i \(0.751985\pi\)
\(594\) 15.0321 26.3373i 0.616774 1.08063i
\(595\) −0.0584440 0.0337426i −0.00239597 0.00138331i
\(596\) −6.10832 + 13.7195i −0.250207 + 0.561973i
\(597\) −1.33127 + 12.8709i −0.0544851 + 0.526772i
\(598\) 5.40422 2.40611i 0.220995 0.0983933i
\(599\) −5.30174 + 24.9427i −0.216623 + 1.01913i 0.726623 + 0.687036i \(0.241089\pi\)
−0.943246 + 0.332095i \(0.892245\pi\)
\(600\) −4.02247 1.78295i −0.164217 0.0727887i
\(601\) 4.38688 + 3.94997i 0.178945 + 0.161122i 0.753736 0.657178i \(-0.228250\pi\)
−0.574791 + 0.818300i \(0.694917\pi\)
\(602\) 0.109554 0.0232865i 0.00446510 0.000949086i
\(603\) 29.8967 13.4296i 1.21749 0.546894i
\(604\) −0.528568 0.171742i −0.0215071 0.00698808i
\(605\) 26.8766 24.1998i 1.09269 0.983862i
\(606\) −18.0602 1.86800i −0.733644 0.0758823i
\(607\) −2.35384 2.61420i −0.0955394 0.106107i 0.693479 0.720477i \(-0.256077\pi\)
−0.789018 + 0.614370i \(0.789410\pi\)
\(608\) −6.67211 + 2.16790i −0.270590 + 0.0879199i
\(609\) −0.476113 0.653039i −0.0192931 0.0264625i
\(610\) 16.7263 5.43471i 0.677229 0.220045i
\(611\) 0.847013 8.05879i 0.0342665 0.326024i
\(612\) −1.47095 1.06129i −0.0594596 0.0429001i
\(613\) −44.7989 + 4.70855i −1.80941 + 0.190177i −0.948114 0.317930i \(-0.897012\pi\)
−0.861294 + 0.508106i \(0.830346\pi\)
\(614\) −13.6303 + 7.86944i −0.550073 + 0.317585i
\(615\) 2.06494 1.19675i 0.0832666 0.0482578i
\(616\) 0.168936 0.379437i 0.00680664 0.0152880i
\(617\) 19.4013 + 6.30387i 0.781068 + 0.253784i 0.672296 0.740282i \(-0.265308\pi\)
0.108772 + 0.994067i \(0.465308\pi\)
\(618\) 5.19610 5.79009i 0.209018 0.232911i
\(619\) 11.7811 + 6.80182i 0.473523 + 0.273388i 0.717713 0.696339i \(-0.245189\pi\)
−0.244191 + 0.969727i \(0.578522\pi\)
\(620\) −8.15359 3.12571i −0.327456 0.125531i
\(621\) −12.4116 + 7.24821i −0.498061 + 0.290861i
\(622\) −3.44005 10.5874i −0.137933 0.424515i
\(623\) 0.680173 0.144575i 0.0272506 0.00579229i
\(624\) −3.38646 1.50104i −0.135567 0.0600897i
\(625\) 2.92276 5.06237i 0.116910 0.202495i
\(626\) −21.2824 −0.850615
\(627\) −70.5144 + 7.52931i −2.81607 + 0.300692i
\(628\) −10.3312 + 4.59974i −0.412259 + 0.183550i
\(629\) −3.37607 0.354840i −0.134613 0.0141484i
\(630\) 0.327762 + 0.0685354i 0.0130584 + 0.00273052i
\(631\) −9.04762 + 20.3213i −0.360180 + 0.808977i 0.639028 + 0.769184i \(0.279337\pi\)
−0.999208 + 0.0397939i \(0.987330\pi\)
\(632\) −7.45763 + 8.28254i −0.296649 + 0.329462i
\(633\) 15.6466 + 5.05530i 0.621898 + 0.200930i
\(634\) 11.2988 + 8.20907i 0.448733 + 0.326024i
\(635\) 16.8437 3.58024i 0.668423 0.142078i
\(636\) −7.33002 + 6.62197i −0.290654 + 0.262578i
\(637\) 14.8776 + 1.56370i 0.589473 + 0.0619561i
\(638\) −7.95531 37.4268i −0.314954 1.48174i
\(639\) 11.1456 + 9.96898i 0.440913 + 0.394367i
\(640\) 1.43276 + 0.637904i 0.0566347 + 0.0252154i
\(641\) 13.3364 + 41.0451i 0.526755 + 1.62119i 0.760819 + 0.648964i \(0.224798\pi\)
−0.234064 + 0.972221i \(0.575202\pi\)
\(642\) −12.9530 1.33976i −0.511215 0.0528761i
\(643\) −1.56844 0.164849i −0.0618531 0.00650102i 0.0735514 0.997291i \(-0.476567\pi\)
−0.135404 + 0.990790i \(0.543233\pi\)
\(644\) −0.159262 + 0.115711i −0.00627581 + 0.00455965i
\(645\) 0.00707169 + 4.27503i 0.000278447 + 0.168329i
\(646\) 4.24166i 0.166886i
\(647\) 31.8550 23.1440i 1.25235 0.909886i 0.253994 0.967206i \(-0.418256\pi\)
0.998356 + 0.0573202i \(0.0182556\pi\)
\(648\) 8.57772 + 2.72446i 0.336965 + 0.107027i
\(649\) −35.8801 + 11.6582i −1.40842 + 0.457623i
\(650\) −2.71636 + 4.70488i −0.106545 + 0.184541i
\(651\) −0.678098 0.105941i −0.0265768 0.00415217i
\(652\) −5.75233 9.96334i −0.225279 0.390194i
\(653\) −6.81676 6.13784i −0.266761 0.240192i 0.524885 0.851173i \(-0.324108\pi\)
−0.791645 + 0.610981i \(0.790775\pi\)
\(654\) 21.9891 + 24.3403i 0.859844 + 0.951782i
\(655\) 0.584795 + 5.56396i 0.0228498 + 0.217402i
\(656\) 0.760888 0.439299i 0.0297077 0.0171517i
\(657\) 27.7840 16.1639i 1.08396 0.630615i
\(658\) 0.0281866 + 0.268177i 0.00109883 + 0.0104546i
\(659\) −10.2514 23.0250i −0.399338 0.896928i −0.995562 0.0941097i \(-0.970000\pi\)
0.596224 0.802818i \(-0.296667\pi\)
\(660\) 12.8411 + 9.29722i 0.499841 + 0.361894i
\(661\) 26.7120 + 5.67780i 1.03897 + 0.220841i 0.695654 0.718377i \(-0.255115\pi\)
0.343321 + 0.939218i \(0.388448\pi\)
\(662\) −0.723977 6.88818i −0.0281382 0.267717i
\(663\) −1.49584 + 1.66684i −0.0580938 + 0.0647347i
\(664\) −11.2686 3.66139i −0.437307 0.142090i
\(665\) −0.318493 0.715348i −0.0123506 0.0277400i
\(666\) 16.4641 3.55651i 0.637969 0.137812i
\(667\) −5.60410 + 17.2476i −0.216992 + 0.667832i
\(668\) −0.916853 + 8.72328i −0.0354741 + 0.337514i
\(669\) 4.74429 1.01663i 0.183425 0.0393054i
\(670\) 5.29468 + 16.2953i 0.204551 + 0.629544i
\(671\) 65.0861 6.84083i 2.51262 0.264087i
\(672\) 0.120616 + 0.0254293i 0.00465286 + 0.000980955i
\(673\) −17.3960 + 23.9436i −0.670568 + 0.922958i −0.999773 0.0213005i \(-0.993219\pi\)
0.329205 + 0.944259i \(0.393219\pi\)
\(674\) 12.2387 + 8.89193i 0.471417 + 0.342504i
\(675\) 5.30890 12.0850i 0.204340 0.465153i
\(676\) 4.21313 7.29736i 0.162044 0.280668i
\(677\) 46.0673 1.77051 0.885255 0.465105i \(-0.153984\pi\)
0.885255 + 0.465105i \(0.153984\pi\)
\(678\) −4.04016 + 9.11489i −0.155161 + 0.350055i
\(679\) 0.401902 1.23693i 0.0154236 0.0474689i
\(680\) 0.634501 0.704684i 0.0243320 0.0270234i
\(681\) −18.3358 + 0.0303308i −0.702628 + 0.00116228i
\(682\) −27.2596 17.6854i −1.04383 0.677207i
\(683\) 37.0776i 1.41874i −0.704838 0.709368i \(-0.748980\pi\)
0.704838 0.709368i \(-0.251020\pi\)
\(684\) −6.56988 19.9947i −0.251206 0.764516i
\(685\) 6.60335 5.94568i 0.252301 0.227173i
\(686\) −0.990543 + 0.104110i −0.0378191 + 0.00397495i
\(687\) −41.6255 + 0.0688562i −1.58811 + 0.00262703i
\(688\) 1.57375i 0.0599988i
\(689\) 7.16924 + 9.86761i 0.273126 + 0.375926i
\(690\) −3.06756 6.85930i −0.116780 0.261129i
\(691\) −30.4582 22.1292i −1.15869 0.841834i −0.169074 0.985603i \(-0.554078\pi\)
−0.989611 + 0.143769i \(0.954078\pi\)
\(692\) 3.61619 + 3.25603i 0.137467 + 0.123776i
\(693\) 1.13998 + 0.503041i 0.0433044 + 0.0191089i
\(694\) 7.07045 33.2639i 0.268391 1.26268i
\(695\) −0.331708 + 1.02089i −0.0125824 + 0.0387247i
\(696\) 10.3664 4.63596i 0.392936 0.175726i
\(697\) −0.110445 0.519605i −0.00418342 0.0196814i
\(698\) −2.90699 13.6763i −0.110031 0.517656i
\(699\) −39.5313 28.6214i −1.49521 1.08256i
\(700\) 0.0558667 0.171940i 0.00211156 0.00649872i
\(701\) 1.99952 9.40701i 0.0755209 0.355298i −0.924120 0.382103i \(-0.875200\pi\)
0.999641 + 0.0268049i \(0.00853330\pi\)
\(702\) 4.46948 10.1742i 0.168690 0.384001i
\(703\) −29.2718 26.3564i −1.10401 0.994052i
\(704\) 4.72150 + 3.43037i 0.177948 + 0.129287i
\(705\) −10.2379 1.05893i −0.385583 0.0398816i
\(706\) −13.6143 18.7385i −0.512381 0.705231i
\(707\) 0.746035i 0.0280575i
\(708\) −5.61433 9.68727i −0.211000 0.364070i
\(709\) 8.88580 0.933935i 0.333713 0.0350747i 0.0638097 0.997962i \(-0.479675\pi\)
0.269903 + 0.962887i \(0.413008\pi\)
\(710\) −5.80945 + 5.23085i −0.218025 + 0.196310i
\(711\) −24.9215 22.2906i −0.934629 0.835961i
\(712\) 9.77074i 0.366174i
\(713\) 6.99801 + 13.7193i 0.262077 + 0.513790i
\(714\) 0.0371579 0.0646059i 0.00139060 0.00241781i
\(715\) 13.0982 14.5470i 0.489844 0.544027i
\(716\) 3.80835 11.7209i 0.142325 0.438030i
\(717\) 5.24006 0.559517i 0.195693 0.0208956i
\(718\) 13.2049 0.492802
\(719\) 2.10249 3.64162i 0.0784096 0.135809i −0.824154 0.566365i \(-0.808349\pi\)
0.902564 + 0.430556i \(0.141682\pi\)
\(720\) −1.89948 + 4.30458i −0.0707895 + 0.160422i
\(721\) 0.258613 + 0.187894i 0.00963126 + 0.00699752i
\(722\) −17.7610 + 24.4459i −0.660996 + 0.909783i
\(723\) 23.0555 25.6911i 0.857444 0.955462i
\(724\) −17.5442 + 1.84397i −0.652025 + 0.0685305i
\(725\) −5.14661 15.8396i −0.191140 0.588269i
\(726\) 26.7748 + 29.6377i 0.993707 + 1.09996i
\(727\) −3.17432 + 30.2017i −0.117729 + 1.12012i 0.762968 + 0.646437i \(0.223742\pi\)
−0.880697 + 0.473681i \(0.842925\pi\)
\(728\) 0.0470333 0.144754i 0.00174317 0.00536493i
\(729\) −8.08819 + 25.7601i −0.299563 + 0.954077i
\(730\) 6.83490 + 15.3514i 0.252971 + 0.568182i
\(731\) 0.904945 + 0.294034i 0.0334706 + 0.0108753i
\(732\) 6.03253 + 18.4623i 0.222969 + 0.682385i
\(733\) −5.42573 51.6223i −0.200404 1.90671i −0.383370 0.923595i \(-0.625236\pi\)
0.182966 0.983119i \(-0.441430\pi\)
\(734\) 29.5036 + 6.27119i 1.08900 + 0.231474i
\(735\) 1.95493 18.9006i 0.0721087 0.697160i
\(736\) −1.12507 2.52696i −0.0414707 0.0931448i
\(737\) 6.66456 + 63.4091i 0.245492 + 2.33570i
\(738\) 1.32544 + 2.27829i 0.0487902 + 0.0838651i
\(739\) 26.1701 15.1093i 0.962683 0.555805i 0.0656853 0.997840i \(-0.479077\pi\)
0.896998 + 0.442035i \(0.145743\pi\)
\(740\) 0.920441 + 8.75741i 0.0338361 + 0.321929i
\(741\) −25.4100 + 5.44500i −0.933458 + 0.200027i
\(742\) −0.301634 0.271592i −0.0110733 0.00997047i
\(743\) 4.10123 + 7.10355i 0.150460 + 0.260604i 0.931397 0.364006i \(-0.118591\pi\)
−0.780937 + 0.624610i \(0.785258\pi\)
\(744\) 3.43707 9.01036i 0.126009 0.330336i
\(745\) 11.7766 20.3977i 0.431462 0.747315i
\(746\) 2.00661 0.651986i 0.0734671 0.0238709i
\(747\) 10.8723 33.8420i 0.397796 1.23821i
\(748\) 2.85469 2.07405i 0.104378 0.0758348i
\(749\) 0.535069i 0.0195510i
\(750\) 17.7556 + 10.2121i 0.648343 + 0.372892i
\(751\) −42.8736 + 31.1495i −1.56448 + 1.13666i −0.632265 + 0.774752i \(0.717874\pi\)
−0.932214 + 0.361908i \(0.882126\pi\)
\(752\) −3.76820 0.396054i −0.137412 0.0144426i
\(753\) 13.2136 + 29.5467i 0.481531 + 1.07674i
\(754\) −4.33285 13.3351i −0.157793 0.485637i
\(755\) 0.796282 + 0.354527i 0.0289797 + 0.0129026i
\(756\) −0.0750903 + 0.362098i −0.00273101 + 0.0131694i
\(757\) −0.303731 1.42894i −0.0110393 0.0519357i 0.972283 0.233806i \(-0.0751182\pi\)
−0.983322 + 0.181871i \(0.941785\pi\)
\(758\) −21.7476 2.28576i −0.789907 0.0830226i
\(759\) −5.85862 27.3402i −0.212654 0.992385i
\(760\) 10.7623 2.28759i 0.390388 0.0829796i
\(761\) 13.6856 + 9.94316i 0.496102 + 0.360439i 0.807526 0.589832i \(-0.200806\pi\)
−0.311424 + 0.950271i \(0.600806\pi\)
\(762\) 3.98471 + 18.5953i 0.144351 + 0.673636i
\(763\) −0.901860 + 1.00162i −0.0326495 + 0.0362610i
\(764\) 6.21469 13.9584i 0.224840 0.504998i
\(765\) 2.12034 + 1.89650i 0.0766610 + 0.0685680i
\(766\) 1.31020 + 0.137707i 0.0473394 + 0.00497557i
\(767\) −12.6296 + 5.62308i −0.456030 + 0.203038i
\(768\) −0.701870 + 1.58347i −0.0253266 + 0.0571386i
\(769\) −17.3963 −0.627328 −0.313664 0.949534i \(-0.601557\pi\)
−0.313664 + 0.949534i \(0.601557\pi\)
\(770\) −0.325703 + 0.564135i −0.0117375 + 0.0203300i
\(771\) 0.142610 + 1.33559i 0.00513597 + 0.0480999i
\(772\) 16.7371 3.55758i 0.602381 0.128040i
\(773\) −10.1801 31.3312i −0.366153 1.12690i −0.949256 0.314505i \(-0.898161\pi\)
0.583102 0.812399i \(-0.301839\pi\)
\(774\) −4.72124 + 0.0156196i −0.169701 + 0.000561436i
\(775\) −12.6050 6.41550i −0.452785 0.230452i
\(776\) 15.8263 + 9.13734i 0.568132 + 0.328011i
\(777\) 0.214959 + 0.657869i 0.00771159 + 0.0236009i
\(778\) 23.1510 + 7.52223i 0.830005 + 0.269685i
\(779\) 2.50703 5.63089i 0.0898238 0.201748i
\(780\) 5.03597 + 2.89642i 0.180317 + 0.103709i
\(781\) −25.1926 + 14.5449i −0.901460 + 0.520458i
\(782\) −1.66326 + 0.174816i −0.0594781 + 0.00625140i
\(783\) 14.0107 + 31.0529i 0.500702 + 1.10974i
\(784\) 0.731170 6.95662i 0.0261132 0.248451i
\(785\) 16.8682 5.48081i 0.602052 0.195618i
\(786\) −6.14364 + 0.655999i −0.219136 + 0.0233987i
\(787\) −20.2689 + 6.58578i −0.722510 + 0.234758i −0.647111 0.762396i \(-0.724023\pi\)
−0.0753988 + 0.997153i \(0.524023\pi\)
\(788\) 5.35655 + 5.94906i 0.190819 + 0.211926i
\(789\) 5.23702 + 11.7104i 0.186443 + 0.416900i
\(790\) 12.9899 11.6962i 0.462160 0.416131i
\(791\) −0.389615 0.126594i −0.0138531 0.00450115i
\(792\) −10.2442 + 14.1985i −0.364011 + 0.504520i
\(793\) 23.4580 4.98616i 0.833020 0.177064i
\(794\) 16.3623 + 14.7327i 0.580676 + 0.522843i
\(795\) 12.5186 9.12699i 0.443990 0.323701i
\(796\) 1.55324 7.30743i 0.0550532 0.259005i
\(797\) −37.1445 + 16.5378i −1.31573 + 0.585799i −0.940077 0.340963i \(-0.889247\pi\)
−0.375649 + 0.926762i \(0.622580\pi\)
\(798\) 0.789432 0.353044i 0.0279456 0.0124976i
\(799\) −0.931777 + 2.09281i −0.0329639 + 0.0740382i
\(800\) 2.19995 + 1.27014i 0.0777800 + 0.0449063i
\(801\) −29.3121 + 0.0969753i −1.03569 + 0.00342645i
\(802\) −0.121753 0.167579i −0.00429925 0.00591741i
\(803\) 13.0010 + 61.1650i 0.458796 + 2.15847i
\(804\) −17.9865 + 5.87709i −0.634336 + 0.207269i
\(805\) 0.267380 0.154372i 0.00942389 0.00544089i
\(806\) −10.6120 5.40111i −0.373790 0.190246i
\(807\) −19.6298 + 11.3766i −0.691003 + 0.400476i
\(808\) 10.2536 + 2.17947i 0.360720 + 0.0766734i
\(809\) 15.9733 + 17.7401i 0.561591 + 0.623710i 0.955340 0.295508i \(-0.0954889\pi\)
−0.393749 + 0.919218i \(0.628822\pi\)
\(810\) −12.9325 5.65569i −0.454402 0.198721i
\(811\) 10.8836 + 18.8509i 0.382174 + 0.661946i 0.991373 0.131072i \(-0.0418420\pi\)
−0.609198 + 0.793018i \(0.708509\pi\)
\(812\) 0.233300 + 0.404087i 0.00818721 + 0.0141807i
\(813\) −17.4408 + 12.7156i −0.611675 + 0.445956i
\(814\) −3.42512 + 32.5878i −0.120050 + 1.14220i
\(815\) 7.33888 + 16.4834i 0.257070 + 0.577388i
\(816\) 0.779397 + 0.699441i 0.0272843 + 0.0244853i
\(817\) 6.48952 + 8.93205i 0.227039 + 0.312493i
\(818\) −21.2448 4.51572i −0.742807 0.157889i
\(819\) 0.434725 + 0.139662i 0.0151905 + 0.00488020i
\(820\) −1.25882 + 0.560461i −0.0439598 + 0.0195722i
\(821\) −20.9818 23.3026i −0.732270 0.813268i 0.255888 0.966706i \(-0.417632\pi\)
−0.988158 + 0.153438i \(0.950965\pi\)
\(822\) 6.57834 + 7.28173i 0.229446 + 0.253980i
\(823\) −22.4294 + 30.8714i −0.781839 + 1.07611i 0.213238 + 0.977000i \(0.431599\pi\)
−0.995077 + 0.0991088i \(0.968401\pi\)
\(824\) −3.33794 + 3.00550i −0.116283 + 0.104701i
\(825\) 19.1111 + 17.1505i 0.665361 + 0.597104i
\(826\) 0.372195 0.270416i 0.0129503 0.00940897i
\(827\) −28.7120 + 31.8879i −0.998414 + 1.10885i −0.00435724 + 0.999991i \(0.501387\pi\)
−0.994057 + 0.108861i \(0.965280\pi\)
\(828\) 7.56966 3.40028i 0.263064 0.118168i
\(829\) −22.4905 + 30.9555i −0.781127 + 1.07513i 0.214029 + 0.976827i \(0.431341\pi\)
−0.995157 + 0.0983022i \(0.968659\pi\)
\(830\) 16.9760 + 7.55822i 0.589247 + 0.262350i
\(831\) −15.1579 + 26.3548i −0.525820 + 0.914237i
\(832\) 1.85211 + 1.06931i 0.0642102 + 0.0370718i
\(833\) −3.86360 1.72019i −0.133866 0.0596010i
\(834\) −1.12806 0.364466i −0.0390614 0.0126204i
\(835\) 2.86014 13.4559i 0.0989791 0.465660i
\(836\) 40.9429 1.41604
\(837\) 27.0650 + 10.2217i 0.935505 + 0.353314i
\(838\) −38.2214 −1.32034
\(839\) 1.82258 8.57459i 0.0629226 0.296028i −0.935423 0.353531i \(-0.884981\pi\)
0.998345 + 0.0575038i \(0.0183141\pi\)
\(840\) −0.183963 0.0594369i −0.00634732 0.00205077i
\(841\) 12.7755 + 5.68802i 0.440535 + 0.196139i
\(842\) 25.7806 + 14.8845i 0.888459 + 0.512952i
\(843\) 18.9760 32.9933i 0.653568 1.13635i
\(844\) −8.67265 3.86131i −0.298525 0.132912i
\(845\) −7.76777 + 10.6914i −0.267219 + 0.367796i
\(846\) 1.15076 11.3085i 0.0395638 0.388794i
\(847\) −1.09814 + 1.21961i −0.0377325 + 0.0419062i
\(848\) 4.61399 3.35226i 0.158445 0.115117i
\(849\) 4.78950 + 4.29816i 0.164375 + 0.147512i
\(850\) 1.14139 1.02771i 0.0391494 0.0352503i
\(851\) 9.12862 12.5645i 0.312925 0.430704i
\(852\) −5.78745 6.40627i −0.198275 0.219475i
\(853\) 21.6014 + 23.9908i 0.739619 + 0.821431i 0.989146 0.146937i \(-0.0469416\pi\)
−0.249526 + 0.968368i \(0.580275\pi\)
\(854\) −0.729071 + 0.324603i −0.0249483 + 0.0111077i
\(855\) 6.96955 + 32.2639i 0.238353 + 1.10340i
\(856\) 7.35404 + 1.56315i 0.251356 + 0.0534273i
\(857\) −3.62169 4.98483i −0.123715 0.170279i 0.742667 0.669661i \(-0.233560\pi\)
−0.866382 + 0.499382i \(0.833560\pi\)
\(858\) 16.0893 + 14.4388i 0.549280 + 0.492931i
\(859\) −16.7678 37.6610i −0.572109 1.28498i −0.935495 0.353339i \(-0.885046\pi\)
0.363386 0.931639i \(-0.381621\pi\)
\(860\) 0.257996 2.45467i 0.00879761 0.0837036i
\(861\) −0.0875132 + 0.0638035i −0.00298244 + 0.00217442i
\(862\) 11.5980 + 20.0883i 0.395028 + 0.684209i
\(863\) −3.64666 6.31621i −0.124134 0.215006i 0.797260 0.603636i \(-0.206282\pi\)
−0.921394 + 0.388630i \(0.872949\pi\)
\(864\) −4.75735 2.08988i −0.161848 0.0710993i
\(865\) −5.10659 5.67145i −0.173629 0.192835i
\(866\) −0.440819 0.0936989i −0.0149796 0.00318402i
\(867\) −24.9278 + 14.4471i −0.846592 + 0.490649i
\(868\) 0.382793 + 0.102386i 0.0129928 + 0.00347522i
\(869\) 56.3304 32.5224i 1.91088 1.10325i
\(870\) −16.9290 + 5.53154i −0.573947 + 0.187537i
\(871\) 4.85768 + 22.8536i 0.164596 + 0.774365i
\(872\) −11.1316 15.3214i −0.376965 0.518847i
\(873\) −27.2548 + 47.5694i −0.922435 + 1.60998i
\(874\) −16.8056 9.70274i −0.568459 0.328200i
\(875\) −0.342319 + 0.768862i −0.0115725 + 0.0259923i
\(876\) −16.9413 + 7.57635i −0.572393 + 0.255981i
\(877\) 17.4702 7.77825i 0.589928 0.262653i −0.0899879 0.995943i \(-0.528683\pi\)
0.679916 + 0.733290i \(0.262016\pi\)
\(878\) 2.07633 9.76836i 0.0700727 0.329666i
\(879\) −26.4176 + 19.2604i −0.891043 + 0.649636i
\(880\) −6.80202 6.12457i −0.229296 0.206459i
\(881\) 56.3642 11.9806i 1.89896 0.403636i 0.899512 0.436897i \(-0.143923\pi\)
0.999447 + 0.0332608i \(0.0105892\pi\)
\(882\) 20.8770 + 2.12445i 0.702965 + 0.0715340i
\(883\) −44.6430 14.5054i −1.50236 0.488145i −0.561652 0.827374i \(-0.689834\pi\)
−0.940704 + 0.339229i \(0.889834\pi\)
\(884\) 0.960921 0.865217i 0.0323193 0.0291004i
\(885\) 7.16889 + 16.0302i 0.240980 + 0.538848i
\(886\) 21.8348 + 24.2500i 0.733555 + 0.814695i
\(887\) 34.6659 11.2636i 1.16397 0.378196i 0.337579 0.941297i \(-0.390392\pi\)
0.826388 + 0.563102i \(0.190392\pi\)
\(888\) −9.66981 + 1.03251i −0.324497 + 0.0346489i
\(889\) −0.743165 + 0.241469i −0.0249250 + 0.00809861i
\(890\) 1.60179 15.2400i 0.0536920 0.510845i
\(891\) −42.6968 30.5915i −1.43040 1.02485i
\(892\) −2.78595 + 0.292815i −0.0932805 + 0.00980418i
\(893\) −23.0201 + 13.2907i −0.770339 + 0.444755i
\(894\) 22.5483 + 12.9686i 0.754128 + 0.433734i
\(895\) −7.86158 + 17.6574i −0.262784 + 0.590222i
\(896\) −0.0676853 0.0219923i −0.00226121 0.000734710i
\(897\) −3.18237 9.73948i −0.106256 0.325192i
\(898\) −14.4035 8.31589i −0.480652 0.277505i
\(899\) 34.0733 13.0969i 1.13641 0.436807i
\(900\) −3.78857 + 6.61243i −0.126286 + 0.220414i
\(901\) −1.06557 3.27947i −0.0354991 0.109255i
\(902\) −5.01553 + 1.06608i −0.166999 + 0.0354967i
\(903\) −0.0205969 0.192896i −0.000685421 0.00641918i
\(904\) 2.87814 4.98508i 0.0957255 0.165801i
\(905\) 27.6669 0.919680
\(906\) −0.390078 + 0.880043i −0.0129595 + 0.0292375i
\(907\) 3.62190 1.61257i 0.120263 0.0535447i −0.345723 0.938337i \(-0.612366\pi\)
0.465986 + 0.884792i \(0.345700\pi\)
\(908\) 10.5282 + 1.10656i 0.349390 + 0.0367224i
\(909\) −6.43660 + 30.7822i −0.213489 + 1.02098i
\(910\) −0.0970910 + 0.218070i −0.00321853 + 0.00722895i
\(911\) −4.34262 + 4.82297i −0.143877 + 0.159792i −0.810776 0.585356i \(-0.800955\pi\)
0.666899 + 0.745148i \(0.267621\pi\)
\(912\) 2.54602 + 11.8814i 0.0843073 + 0.393433i
\(913\) 55.9427 + 40.6448i 1.85143 + 1.34515i
\(914\) 21.3836 4.54523i 0.707308 0.150343i
\(915\) −6.38264 29.7856i −0.211003 0.984681i
\(916\) 23.9009 + 2.51208i 0.789707 + 0.0830015i
\(917\) −0.0527830 0.248324i −0.00174305 0.00820039i
\(918\) −2.09058 + 2.34512i −0.0689993 + 0.0774005i
\(919\) −38.0347 16.9342i −1.25465 0.558606i −0.331649 0.943403i \(-0.607605\pi\)
−0.923001 + 0.384796i \(0.874272\pi\)
\(920\) 1.34058 + 4.12588i 0.0441976 + 0.136026i
\(921\) 11.1290 + 24.8854i 0.366714 + 0.820001i
\(922\) 21.7147 + 2.28231i 0.715136 + 0.0751639i
\(923\) −8.62407 + 6.26576i −0.283865 + 0.206240i
\(924\) −0.623613 0.358669i −0.0205154 0.0117993i
\(925\) 14.2627i 0.468954i
\(926\) −9.19539 + 6.68085i −0.302179 + 0.219546i
\(927\) −9.04957 9.98394i −0.297227 0.327916i
\(928\) −6.23537 + 2.02600i −0.204686 + 0.0665066i
\(929\) −5.88743 + 10.1973i −0.193160 + 0.334563i −0.946296 0.323302i \(-0.895207\pi\)
0.753136 + 0.657865i \(0.228540\pi\)
\(930\) −6.83812 + 13.4905i −0.224231 + 0.442371i
\(931\) −24.5364 42.4982i −0.804147 1.39282i
\(932\) 20.9399 + 18.8544i 0.685910 + 0.617596i
\(933\) −18.8536 + 4.04006i −0.617238 + 0.132266i
\(934\) 0.328203 + 3.12264i 0.0107391 + 0.102176i
\(935\) −4.79263 + 2.76703i −0.156736 + 0.0904914i
\(936\) −3.18954 + 5.56690i −0.104253 + 0.181960i
\(937\) −1.03424 9.84015i −0.0337872 0.321464i −0.998341 0.0575776i \(-0.981662\pi\)
0.964554 0.263886i \(-0.0850043\pi\)
\(938\) −0.316239 0.710285i −0.0103256 0.0231916i
\(939\) −3.79250 + 36.6665i −0.123763 + 1.19657i
\(940\) 5.81255 + 1.23550i 0.189585 + 0.0402974i
\(941\) −0.242722 2.30935i −0.00791253 0.0752827i 0.989853 0.142095i \(-0.0453838\pi\)
−0.997766 + 0.0668122i \(0.978717\pi\)
\(942\) 6.08370 + 18.6189i 0.198218 + 0.606635i
\(943\) 2.31134 + 0.751000i 0.0752676 + 0.0244559i
\(944\) 2.62929 + 5.90549i 0.0855762 + 0.192207i
\(945\) 0.176484 0.552475i 0.00574102 0.0179720i
\(946\) 2.83819 8.73505i 0.0922775 0.284001i
\(947\) 4.49493 42.7664i 0.146066 1.38972i −0.638474 0.769643i \(-0.720434\pi\)
0.784540 0.620079i \(-0.212899\pi\)
\(948\) 12.9407 + 14.3244i 0.420295 + 0.465234i
\(949\) 7.08099 + 21.7930i 0.229859 + 0.707432i
\(950\) 17.7237 1.86283i 0.575032 0.0604383i
\(951\) 16.1565 18.0034i 0.523911 0.583801i
\(952\) −0.0252921 + 0.0348116i −0.000819723 + 0.00112825i
\(953\) 4.51817 + 3.28264i 0.146358 + 0.106335i 0.658555 0.752533i \(-0.271168\pi\)
−0.512197 + 0.858868i \(0.671168\pi\)
\(954\) 10.1025 + 13.8086i 0.327081 + 0.447071i
\(955\) −11.9817 + 20.7529i −0.387719 + 0.671549i
\(956\) −3.04255 −0.0984029
\(957\) −65.8987 + 7.03647i −2.13020 + 0.227457i
\(958\) 11.7276 36.0937i 0.378900 1.16613i
\(959\) −0.269803 + 0.299647i −0.00871240 + 0.00967610i
\(960\) 1.35434 2.35477i 0.0437110 0.0759997i
\(961\) 12.5836 28.3311i 0.405923 0.913907i
\(962\) 12.0075i 0.387139i
\(963\) −4.61643 + 22.0775i −0.148762 + 0.711438i
\(964\) −14.8107 + 13.3356i −0.477021 + 0.429512i
\(965\) −26.6890 + 2.80513i −0.859150 + 0.0903003i
\(966\) 0.170973 + 0.295006i 0.00550097 + 0.00949167i
\(967\) 18.0170i 0.579388i 0.957119 + 0.289694i \(0.0935536\pi\)
−0.957119 + 0.289694i \(0.906446\pi\)
\(968\) −13.5543 18.6559i −0.435652 0.599624i
\(969\) 7.30778 + 0.755859i 0.234760 + 0.0242817i
\(970\) −23.1873 16.8465i −0.744498 0.540910i
\(971\) −19.2450 17.3282i −0.617600 0.556089i 0.299827 0.953994i \(-0.403071\pi\)
−0.917427 + 0.397904i \(0.869738\pi\)
\(972\) 6.22240 14.2927i 0.199583 0.458439i
\(973\) 0.0101274 0.0476457i 0.000324670 0.00152745i
\(974\) 0.371415 1.14310i 0.0119009 0.0366272i
\(975\) 7.62179 + 5.51832i 0.244093 + 0.176728i
\(976\) −2.33148 10.9687i −0.0746287 0.351101i
\(977\) 7.06375 + 33.2323i 0.225989 + 1.06320i 0.934077 + 0.357072i \(0.116225\pi\)
−0.708087 + 0.706125i \(0.750442\pi\)
\(978\) −18.1905 + 8.13501i −0.581668 + 0.260129i
\(979\) 17.6211 54.2320i 0.563171 1.73326i
\(980\) −2.28089 + 10.7308i −0.0728605 + 0.342782i
\(981\) 45.8534 33.5468i 1.46399 1.07107i
\(982\) −18.2174 16.4030i −0.581341 0.523442i
\(983\) −21.2057 15.4068i −0.676357 0.491402i 0.195790 0.980646i \(-0.437273\pi\)
−0.872147 + 0.489244i \(0.837273\pi\)
\(984\) −0.621261 1.38919i −0.0198051 0.0442856i
\(985\) −7.37965 10.1572i −0.235135 0.323636i
\(986\) 3.96401i 0.126240i
\(987\) 0.467055 0.000772595i 0.0148665 2.45920e-5i
\(988\) 14.9213 1.56829i 0.474710 0.0498940i
\(989\) −3.23503 + 2.91283i −0.102868 + 0.0926226i
\(990\) 18.3061 20.4667i 0.581806 0.650476i
\(991\) 9.03761i 0.287089i 0.989644 + 0.143545i \(0.0458501\pi\)
−0.989644 + 0.143545i \(0.954150\pi\)
\(992\) −2.52550 + 4.96204i −0.0801848 + 0.157545i
\(993\) −11.9964 + 0.0198442i −0.380693 + 0.000629737i
\(994\) 0.237366 0.263621i 0.00752879 0.00836157i
\(995\) −3.62063 + 11.1432i −0.114782 + 0.353262i
\(996\) −8.31611 + 18.7618i −0.263506 + 0.594489i
\(997\) −16.0503 −0.508317 −0.254158 0.967163i \(-0.581798\pi\)
−0.254158 + 0.967163i \(0.581798\pi\)
\(998\) −10.2915 + 17.8253i −0.325771 + 0.564251i
\(999\) −3.19350 28.9990i −0.101038 0.917488i
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 558.2.bh.a.11.15 yes 256
9.5 odd 6 558.2.bd.a.383.23 256
31.17 odd 30 558.2.bd.a.389.23 yes 256
279.203 even 30 inner 558.2.bh.a.203.15 yes 256
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
558.2.bd.a.383.23 256 9.5 odd 6
558.2.bd.a.389.23 yes 256 31.17 odd 30
558.2.bh.a.11.15 yes 256 1.1 even 1 trivial
558.2.bh.a.203.15 yes 256 279.203 even 30 inner