Properties

Label 714.2.bl.a.61.6
Level $714$
Weight $2$
Character 714.61
Analytic conductor $5.701$
Analytic rank $0$
Dimension $192$
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] = [714,2,Mod(31,714)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)
 
Copy content sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(714, base_ring=CyclotomicField(48)) chi = DirichletCharacter(H, H._module([0, 8, 27])) N = Newforms(chi, 2, names="a")
 
Copy content magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("714.31"); S:= CuspForms(chi, 2); N := Newforms(S);
 
Level: \( N \) \(=\) \( 714 = 2 \cdot 3 \cdot 7 \cdot 17 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 714.bl (of order \(48\), degree \(16\), minimal)

Newform invariants

Copy content comment:select newform
 
Copy content sage:traces = [192,0,0,0,0,0,0,0,0,-48] f = next(g for g in N if [g.coefficient(i+1).trace() for i in range(10)] == traces)
 
Copy content gp:f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(5.70131870432\)
Analytic rank: \(0\)
Dimension: \(192\)
Relative dimension: \(12\) over \(\Q(\zeta_{48})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{48}]$

Embedding invariants

Embedding label 61.6
Character \(\chi\) \(=\) 714.61
Dual form 714.2.bl.a.199.6

$q$-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+(-0.608761 - 0.793353i) q^{2} +(-0.997859 - 0.0654031i) q^{3} +(-0.258819 + 0.965926i) q^{4} +(3.00327 + 1.01947i) q^{5} +(0.555570 + 0.831470i) q^{6} +(2.54392 - 0.726955i) q^{7} +(0.923880 - 0.382683i) q^{8} +(0.991445 + 0.130526i) q^{9} +(-1.01947 - 3.00327i) q^{10} +(-0.423653 + 0.859084i) q^{11} +(0.321439 - 0.946930i) q^{12} +(0.263481 + 0.263481i) q^{13} +(-2.12537 - 1.57569i) q^{14} +(-2.93016 - 1.21371i) q^{15} +(-0.866025 - 0.500000i) q^{16} +(4.01291 - 0.946844i) q^{17} +(-0.500000 - 0.866025i) q^{18} +(-2.71633 + 2.08431i) q^{19} +(-1.76204 + 2.63707i) q^{20} +(-2.58602 + 0.559018i) q^{21} +(0.939461 - 0.186870i) q^{22} +(0.415972 + 6.34651i) q^{23} +(-0.946930 + 0.321439i) q^{24} +(4.01352 + 3.07968i) q^{25} +(0.0486364 - 0.369430i) q^{26} +(-0.980785 - 0.195090i) q^{27} +(0.0437691 + 2.64539i) q^{28} +(-1.54586 - 7.77154i) q^{29} +(0.820866 + 3.06351i) q^{30} +(-0.616036 + 9.39890i) q^{31} +(0.130526 + 0.991445i) q^{32} +(0.478933 - 0.829537i) q^{33} +(-3.19409 - 2.60726i) q^{34} +(8.38119 + 0.410217i) q^{35} +(-0.382683 + 0.923880i) q^{36} +(-1.87750 + 0.925878i) q^{37} +(3.30719 + 0.886159i) q^{38} +(-0.245684 - 0.280149i) q^{39} +(3.16479 - 0.207431i) q^{40} +(1.14878 - 5.77530i) q^{41} +(2.01777 + 1.71132i) q^{42} +(0.200387 + 0.483777i) q^{43} +(-0.720162 - 0.631565i) q^{44} +(2.84451 + 1.40276i) q^{45} +(4.78179 - 4.19352i) q^{46} +(5.73814 - 1.53753i) q^{47} +(0.831470 + 0.555570i) q^{48} +(5.94307 - 3.69863i) q^{49} -5.05893i q^{50} +(-4.06625 + 0.682360i) q^{51} +(-0.322697 + 0.186309i) q^{52} +(4.78795 - 0.630346i) q^{53} +(0.442289 + 0.896873i) q^{54} +(-2.14816 + 2.14816i) q^{55} +(2.07208 - 1.64514i) q^{56} +(2.84683 - 1.90219i) q^{57} +(-5.22452 + 5.95743i) q^{58} +(2.40079 - 3.12877i) q^{59} +(1.93074 - 2.51619i) q^{60} +(6.07499 - 6.92719i) q^{61} +(7.83167 - 5.23295i) q^{62} +(2.61704 - 0.388687i) q^{63} +(0.707107 - 0.707107i) q^{64} +(0.522692 + 1.05991i) q^{65} +(-0.949672 + 0.125027i) q^{66} +(-1.99067 + 1.14931i) q^{67} +(-0.124037 + 4.12124i) q^{68} -6.36012i q^{69} +(-4.77670 - 6.89897i) q^{70} +(6.36047 + 4.24993i) q^{71} +(0.965926 - 0.258819i) q^{72} +(-7.65501 + 6.71326i) q^{73} +(1.87750 + 0.925878i) q^{74} +(-3.80351 - 3.33559i) q^{75} +(-1.31025 - 3.16323i) q^{76} +(-0.453226 + 2.49342i) q^{77} +(-0.0726942 + 0.365458i) q^{78} +(0.162332 - 0.0106398i) q^{79} +(-2.09117 - 2.38452i) q^{80} +(0.965926 + 0.258819i) q^{81} +(-5.28118 + 2.60439i) q^{82} +(6.28882 - 15.1826i) q^{83} +(0.129341 - 2.64259i) q^{84} +(13.0171 + 1.24743i) q^{85} +(0.261818 - 0.453483i) q^{86} +(1.03426 + 7.85601i) q^{87} +(-0.0626475 + 0.955816i) q^{88} +(0.540746 + 2.01809i) q^{89} +(-0.618745 - 3.11064i) q^{90} +(0.861813 + 0.478736i) q^{91} +(-6.23792 - 1.24080i) q^{92} +(1.22944 - 9.33849i) q^{93} +(-4.71297 - 3.61639i) q^{94} +(-10.2828 + 3.49052i) q^{95} +(-0.0654031 - 0.997859i) q^{96} +(-10.0258 + 1.99426i) q^{97} +(-6.55224 - 2.46337i) q^{98} +(-0.532162 + 0.796437i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 192 q - 48 q^{10} + 16 q^{11} - 16 q^{14} + 32 q^{15} - 96 q^{18} + 32 q^{22} + 16 q^{25} + 32 q^{28} - 32 q^{29} + 64 q^{35} - 48 q^{37} - 64 q^{43} - 16 q^{46} + 48 q^{47} + 64 q^{49} + 16 q^{53} + 16 q^{58}+ \cdots - 32 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/714\mathbb{Z}\right)^\times\).

\(n\) \(239\) \(409\) \(547\)
\(\chi(n)\) \(1\) \(e\left(\frac{5}{6}\right)\) \(e\left(\frac{3}{16}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.608761 0.793353i −0.430459 0.560986i
\(3\) −0.997859 0.0654031i −0.576114 0.0377605i
\(4\) −0.258819 + 0.965926i −0.129410 + 0.482963i
\(5\) 3.00327 + 1.01947i 1.34310 + 0.455922i 0.898172 0.439644i \(-0.144895\pi\)
0.444930 + 0.895566i \(0.353229\pi\)
\(6\) 0.555570 + 0.831470i 0.226811 + 0.339446i
\(7\) 2.54392 0.726955i 0.961512 0.274763i
\(8\) 0.923880 0.382683i 0.326641 0.135299i
\(9\) 0.991445 + 0.130526i 0.330482 + 0.0435087i
\(10\) −1.01947 3.00327i −0.322385 0.949716i
\(11\) −0.423653 + 0.859084i −0.127736 + 0.259024i −0.951341 0.308141i \(-0.900293\pi\)
0.823604 + 0.567165i \(0.191960\pi\)
\(12\) 0.321439 0.946930i 0.0927916 0.273355i
\(13\) 0.263481 + 0.263481i 0.0730764 + 0.0730764i 0.742700 0.669624i \(-0.233545\pi\)
−0.669624 + 0.742700i \(0.733545\pi\)
\(14\) −2.12537 1.57569i −0.568030 0.421120i
\(15\) −2.93016 1.21371i −0.756564 0.313379i
\(16\) −0.866025 0.500000i −0.216506 0.125000i
\(17\) 4.01291 0.946844i 0.973275 0.229643i
\(18\) −0.500000 0.866025i −0.117851 0.204124i
\(19\) −2.71633 + 2.08431i −0.623168 + 0.478174i −0.871430 0.490519i \(-0.836807\pi\)
0.248262 + 0.968693i \(0.420141\pi\)
\(20\) −1.76204 + 2.63707i −0.394003 + 0.589668i
\(21\) −2.58602 + 0.559018i −0.564316 + 0.121988i
\(22\) 0.939461 0.186870i 0.200294 0.0398409i
\(23\) 0.415972 + 6.34651i 0.0867362 + 1.32334i 0.790306 + 0.612712i \(0.209921\pi\)
−0.703570 + 0.710626i \(0.748412\pi\)
\(24\) −0.946930 + 0.321439i −0.193291 + 0.0656136i
\(25\) 4.01352 + 3.07968i 0.802705 + 0.615937i
\(26\) 0.0486364 0.369430i 0.00953839 0.0724512i
\(27\) −0.980785 0.195090i −0.188752 0.0375451i
\(28\) 0.0437691 + 2.64539i 0.00827158 + 0.499932i
\(29\) −1.54586 7.77154i −0.287058 1.44314i −0.807816 0.589435i \(-0.799351\pi\)
0.520758 0.853705i \(-0.325649\pi\)
\(30\) 0.820866 + 3.06351i 0.149869 + 0.559318i
\(31\) −0.616036 + 9.39890i −0.110643 + 1.68809i 0.476946 + 0.878933i \(0.341744\pi\)
−0.587589 + 0.809160i \(0.699923\pi\)
\(32\) 0.130526 + 0.991445i 0.0230740 + 0.175264i
\(33\) 0.478933 0.829537i 0.0833716 0.144404i
\(34\) −3.19409 2.60726i −0.547782 0.447141i
\(35\) 8.38119 + 0.410217i 1.41668 + 0.0693393i
\(36\) −0.382683 + 0.923880i −0.0637806 + 0.153980i
\(37\) −1.87750 + 0.925878i −0.308658 + 0.152213i −0.590021 0.807388i \(-0.700880\pi\)
0.281362 + 0.959602i \(0.409214\pi\)
\(38\) 3.30719 + 0.886159i 0.536497 + 0.143754i
\(39\) −0.245684 0.280149i −0.0393410 0.0448598i
\(40\) 3.16479 0.207431i 0.500398 0.0327978i
\(41\) 1.14878 5.77530i 0.179409 0.901950i −0.781250 0.624219i \(-0.785417\pi\)
0.960659 0.277731i \(-0.0895826\pi\)
\(42\) 2.01777 + 1.71132i 0.311348 + 0.264062i
\(43\) 0.200387 + 0.483777i 0.0305587 + 0.0737753i 0.938422 0.345491i \(-0.112287\pi\)
−0.907863 + 0.419266i \(0.862287\pi\)
\(44\) −0.720162 0.631565i −0.108569 0.0952120i
\(45\) 2.84451 + 1.40276i 0.424034 + 0.209110i
\(46\) 4.78179 4.19352i 0.705037 0.618301i
\(47\) 5.73814 1.53753i 0.836994 0.224272i 0.185232 0.982695i \(-0.440696\pi\)
0.651763 + 0.758423i \(0.274030\pi\)
\(48\) 0.831470 + 0.555570i 0.120012 + 0.0801897i
\(49\) 5.94307 3.69863i 0.849010 0.528376i
\(50\) 5.05893i 0.715441i
\(51\) −4.06625 + 0.682360i −0.569389 + 0.0955495i
\(52\) −0.322697 + 0.186309i −0.0447500 + 0.0258364i
\(53\) 4.78795 0.630346i 0.657676 0.0865847i 0.205700 0.978615i \(-0.434053\pi\)
0.451976 + 0.892030i \(0.350719\pi\)
\(54\) 0.442289 + 0.896873i 0.0601879 + 0.122049i
\(55\) −2.14816 + 2.14816i −0.289657 + 0.289657i
\(56\) 2.07208 1.64514i 0.276894 0.219840i
\(57\) 2.84683 1.90219i 0.377072 0.251951i
\(58\) −5.22452 + 5.95743i −0.686013 + 0.782248i
\(59\) 2.40079 3.12877i 0.312556 0.407331i −0.610488 0.792026i \(-0.709027\pi\)
0.923044 + 0.384695i \(0.125693\pi\)
\(60\) 1.93074 2.51619i 0.249257 0.324838i
\(61\) 6.07499 6.92719i 0.777822 0.886936i −0.218213 0.975901i \(-0.570023\pi\)
0.996035 + 0.0889650i \(0.0283559\pi\)
\(62\) 7.83167 5.23295i 0.994623 0.664586i
\(63\) 2.61704 0.388687i 0.329717 0.0489700i
\(64\) 0.707107 0.707107i 0.0883883 0.0883883i
\(65\) 0.522692 + 1.05991i 0.0648319 + 0.131466i
\(66\) −0.949672 + 0.125027i −0.116897 + 0.0153897i
\(67\) −1.99067 + 1.14931i −0.243199 + 0.140411i −0.616646 0.787241i \(-0.711509\pi\)
0.373447 + 0.927651i \(0.378176\pi\)
\(68\) −0.124037 + 4.12124i −0.0150417 + 0.499774i
\(69\) 6.36012i 0.765669i
\(70\) −4.77670 6.89897i −0.570924 0.824584i
\(71\) 6.36047 + 4.24993i 0.754849 + 0.504374i 0.872460 0.488686i \(-0.162523\pi\)
−0.117611 + 0.993060i \(0.537523\pi\)
\(72\) 0.965926 0.258819i 0.113835 0.0305021i
\(73\) −7.65501 + 6.71326i −0.895951 + 0.785728i −0.977499 0.210941i \(-0.932347\pi\)
0.0815475 + 0.996669i \(0.474014\pi\)
\(74\) 1.87750 + 0.925878i 0.218254 + 0.107631i
\(75\) −3.80351 3.33559i −0.439191 0.385160i
\(76\) −1.31025 3.16323i −0.150296 0.362847i
\(77\) −0.453226 + 2.49342i −0.0516499 + 0.284152i
\(78\) −0.0726942 + 0.365458i −0.00823100 + 0.0413800i
\(79\) 0.162332 0.0106398i 0.0182637 0.00119707i −0.0562685 0.998416i \(-0.517920\pi\)
0.0745323 + 0.997219i \(0.476254\pi\)
\(80\) −2.09117 2.38452i −0.233800 0.266598i
\(81\) 0.965926 + 0.258819i 0.107325 + 0.0287577i
\(82\) −5.28118 + 2.60439i −0.583209 + 0.287607i
\(83\) 6.28882 15.1826i 0.690288 1.66650i −0.0539131 0.998546i \(-0.517169\pi\)
0.744201 0.667956i \(-0.232831\pi\)
\(84\) 0.129341 2.64259i 0.0141123 0.288330i
\(85\) 13.0171 + 1.24743i 1.41191 + 0.135302i
\(86\) 0.261818 0.453483i 0.0282326 0.0489003i
\(87\) 1.03426 + 7.85601i 0.110885 + 0.842252i
\(88\) −0.0626475 + 0.955816i −0.00667824 + 0.101890i
\(89\) 0.540746 + 2.01809i 0.0573190 + 0.213917i 0.988645 0.150269i \(-0.0480139\pi\)
−0.931326 + 0.364186i \(0.881347\pi\)
\(90\) −0.618745 3.11064i −0.0652215 0.327890i
\(91\) 0.861813 + 0.478736i 0.0903426 + 0.0501851i
\(92\) −6.23792 1.24080i −0.650348 0.129362i
\(93\) 1.22944 9.33849i 0.127486 0.968356i
\(94\) −4.71297 3.61639i −0.486105 0.373002i
\(95\) −10.2828 + 3.49052i −1.05499 + 0.358120i
\(96\) −0.0654031 0.997859i −0.00667518 0.101844i
\(97\) −10.0258 + 1.99426i −1.01797 + 0.202486i −0.675746 0.737134i \(-0.736179\pi\)
−0.342219 + 0.939620i \(0.611179\pi\)
\(98\) −6.55224 2.46337i −0.661876 0.248838i
\(99\) −0.532162 + 0.796437i −0.0534843 + 0.0800449i
\(100\) −4.01352 + 3.07968i −0.401352 + 0.307968i
\(101\) 1.12610 + 1.95047i 0.112051 + 0.194079i 0.916597 0.399812i \(-0.130925\pi\)
−0.804546 + 0.593891i \(0.797591\pi\)
\(102\) 3.01673 + 2.81058i 0.298701 + 0.278289i
\(103\) −14.7295 8.50406i −1.45134 0.837929i −0.452779 0.891623i \(-0.649567\pi\)
−0.998557 + 0.0536933i \(0.982901\pi\)
\(104\) 0.344254 + 0.142595i 0.0337569 + 0.0139826i
\(105\) −8.33641 0.957494i −0.813550 0.0934419i
\(106\) −3.41481 3.41481i −0.331676 0.331676i
\(107\) 0.285411 0.840794i 0.0275917 0.0812826i −0.932262 0.361785i \(-0.882168\pi\)
0.959853 + 0.280502i \(0.0905009\pi\)
\(108\) 0.442289 0.896873i 0.0425592 0.0863016i
\(109\) −0.447790 1.31915i −0.0428905 0.126351i 0.923375 0.383899i \(-0.125419\pi\)
−0.966266 + 0.257548i \(0.917086\pi\)
\(110\) 3.01196 + 0.396532i 0.287179 + 0.0378079i
\(111\) 1.93403 0.801102i 0.183570 0.0760372i
\(112\) −2.56658 0.642399i −0.242519 0.0607010i
\(113\) 7.06535 + 10.5740i 0.664652 + 0.994722i 0.998640 + 0.0521447i \(0.0166057\pi\)
−0.333987 + 0.942578i \(0.608394\pi\)
\(114\) −3.24215 1.10056i −0.303655 0.103077i
\(115\) −5.22081 + 19.4843i −0.486843 + 1.81692i
\(116\) 7.90683 + 0.518241i 0.734131 + 0.0481175i
\(117\) 0.226836 + 0.295618i 0.0209710 + 0.0273299i
\(118\) −3.94373 −0.363049
\(119\) 9.52023 5.32591i 0.872718 0.488225i
\(120\) −3.17158 −0.289525
\(121\) 6.13783 + 7.99898i 0.557985 + 0.727180i
\(122\) −9.19393 0.602602i −0.832379 0.0545570i
\(123\) −1.52404 + 5.68780i −0.137418 + 0.512852i
\(124\) −8.91920 3.02766i −0.800968 0.271892i
\(125\) 0.103845 + 0.155415i 0.00928818 + 0.0139007i
\(126\) −1.90152 1.83962i −0.169401 0.163887i
\(127\) −17.9684 + 7.44276i −1.59444 + 0.660438i −0.990615 0.136680i \(-0.956357\pi\)
−0.603823 + 0.797118i \(0.706357\pi\)
\(128\) −0.991445 0.130526i −0.0876322 0.0115370i
\(129\) −0.168318 0.495847i −0.0148195 0.0436569i
\(130\) 0.522692 1.05991i 0.0458431 0.0929606i
\(131\) −1.23984 + 3.65244i −0.108325 + 0.319115i −0.987553 0.157286i \(-0.949726\pi\)
0.879228 + 0.476401i \(0.158059\pi\)
\(132\) 0.677314 + 0.677314i 0.0589526 + 0.0589526i
\(133\) −5.39492 + 7.27697i −0.467799 + 0.630993i
\(134\) 2.12365 + 0.879646i 0.183456 + 0.0759898i
\(135\) −2.74667 1.58579i −0.236396 0.136483i
\(136\) 3.34511 2.41045i 0.286841 0.206694i
\(137\) 7.11107 + 12.3167i 0.607540 + 1.05229i 0.991645 + 0.129000i \(0.0411767\pi\)
−0.384105 + 0.923289i \(0.625490\pi\)
\(138\) −5.04583 + 3.87180i −0.429529 + 0.329589i
\(139\) −5.18142 + 7.75454i −0.439482 + 0.657731i −0.983409 0.181401i \(-0.941937\pi\)
0.543927 + 0.839132i \(0.316937\pi\)
\(140\) −2.56545 + 7.98943i −0.216820 + 0.675230i
\(141\) −5.82642 + 1.15895i −0.490673 + 0.0976009i
\(142\) −0.500313 7.63330i −0.0419853 0.640572i
\(143\) −0.337977 + 0.114728i −0.0282630 + 0.00959401i
\(144\) −0.793353 0.608761i −0.0661128 0.0507301i
\(145\) 3.28025 24.9160i 0.272410 2.06916i
\(146\) 9.98607 + 1.98635i 0.826453 + 0.164392i
\(147\) −6.17225 + 3.30202i −0.509079 + 0.272346i
\(148\) −0.408398 2.05316i −0.0335701 0.168768i
\(149\) −1.13794 4.24683i −0.0932233 0.347914i 0.903521 0.428544i \(-0.140973\pi\)
−0.996744 + 0.0806302i \(0.974307\pi\)
\(150\) −0.330870 + 5.04810i −0.0270154 + 0.412176i
\(151\) −1.50403 11.4243i −0.122397 0.929695i −0.936915 0.349557i \(-0.886332\pi\)
0.814518 0.580138i \(-0.197001\pi\)
\(152\) −1.71193 + 2.96515i −0.138856 + 0.240505i
\(153\) 4.10217 0.414954i 0.331641 0.0335470i
\(154\) 2.25407 1.15833i 0.181638 0.0933409i
\(155\) −11.4320 + 27.5994i −0.918243 + 2.21684i
\(156\) 0.334191 0.164805i 0.0267567 0.0131949i
\(157\) 10.7304 + 2.87521i 0.856381 + 0.229466i 0.660189 0.751099i \(-0.270476\pi\)
0.196191 + 0.980566i \(0.437143\pi\)
\(158\) −0.107262 0.122309i −0.00853334 0.00973041i
\(159\) −4.81893 + 0.315849i −0.382166 + 0.0250485i
\(160\) −0.618745 + 3.11064i −0.0489161 + 0.245918i
\(161\) 5.67182 + 15.8426i 0.447002 + 1.24857i
\(162\) −0.382683 0.923880i −0.0300665 0.0725868i
\(163\) −0.735087 0.644654i −0.0575765 0.0504932i 0.630074 0.776535i \(-0.283025\pi\)
−0.687651 + 0.726042i \(0.741358\pi\)
\(164\) 5.28118 + 2.60439i 0.412391 + 0.203369i
\(165\) 2.28405 2.00306i 0.177813 0.155938i
\(166\) −15.8735 + 4.25330i −1.23202 + 0.330120i
\(167\) −19.4916 13.0239i −1.50831 1.00782i −0.988106 0.153776i \(-0.950857\pi\)
−0.520202 0.854043i \(-0.674143\pi\)
\(168\) −2.17524 + 1.50609i −0.167824 + 0.116198i
\(169\) 12.8612i 0.989320i
\(170\) −6.93468 11.0866i −0.531866 0.850301i
\(171\) −2.96515 + 1.71193i −0.226750 + 0.130914i
\(172\) −0.519157 + 0.0683483i −0.0395853 + 0.00521151i
\(173\) −7.41108 15.0282i −0.563454 1.14257i −0.973112 0.230333i \(-0.926018\pi\)
0.409658 0.912239i \(-0.365648\pi\)
\(174\) 5.60297 5.60297i 0.424760 0.424760i
\(175\) 12.4489 + 4.91683i 0.941047 + 0.371677i
\(176\) 0.796437 0.532162i 0.0600337 0.0401132i
\(177\) −2.60028 + 2.96505i −0.195449 + 0.222867i
\(178\) 1.27188 1.65754i 0.0953311 0.124238i
\(179\) 0.486926 0.634574i 0.0363945 0.0474303i −0.774802 0.632205i \(-0.782150\pi\)
0.811196 + 0.584774i \(0.198817\pi\)
\(180\) −2.09117 + 2.38452i −0.155867 + 0.177732i
\(181\) −0.146146 + 0.0976516i −0.0108629 + 0.00725839i −0.560990 0.827823i \(-0.689579\pi\)
0.550127 + 0.835081i \(0.314579\pi\)
\(182\) −0.144832 0.975158i −0.0107357 0.0722835i
\(183\) −6.51504 + 6.51504i −0.481606 + 0.481606i
\(184\) 2.81301 + 5.70422i 0.207378 + 0.420521i
\(185\) −6.58253 + 0.866606i −0.483957 + 0.0637141i
\(186\) −8.15715 + 4.70953i −0.598111 + 0.345320i
\(187\) −0.886666 + 3.84857i −0.0648395 + 0.281435i
\(188\) 5.94056i 0.433260i
\(189\) −2.63686 + 0.216692i −0.191804 + 0.0157620i
\(190\) 9.02896 + 6.03296i 0.655030 + 0.437677i
\(191\) −7.99927 + 2.14340i −0.578807 + 0.155091i −0.536332 0.844007i \(-0.680191\pi\)
−0.0424741 + 0.999098i \(0.513524\pi\)
\(192\) −0.751840 + 0.659346i −0.0542594 + 0.0475842i
\(193\) 8.81964 + 4.34937i 0.634852 + 0.313074i 0.731087 0.682284i \(-0.239013\pi\)
−0.0962352 + 0.995359i \(0.530680\pi\)
\(194\) 7.68547 + 6.73998i 0.551785 + 0.483902i
\(195\) −0.452251 1.09183i −0.0323864 0.0781876i
\(196\) 2.03442 + 6.69784i 0.145316 + 0.478417i
\(197\) 3.30471 16.6139i 0.235451 1.18369i −0.664361 0.747412i \(-0.731296\pi\)
0.899812 0.436279i \(-0.143704\pi\)
\(198\) 0.955816 0.0626475i 0.0679269 0.00445216i
\(199\) 3.79316 + 4.32527i 0.268890 + 0.306611i 0.870489 0.492188i \(-0.163803\pi\)
−0.601599 + 0.798798i \(0.705469\pi\)
\(200\) 4.88656 + 1.30935i 0.345532 + 0.0925849i
\(201\) 2.06157 1.01666i 0.145412 0.0717094i
\(202\) 0.861882 2.08077i 0.0606418 0.146402i
\(203\) −9.58210 18.6464i −0.672531 1.30872i
\(204\) 0.393314 4.10430i 0.0275375 0.287359i
\(205\) 9.33784 16.1736i 0.652183 1.12961i
\(206\) 2.22000 + 16.8626i 0.154675 + 1.17487i
\(207\) −0.415972 + 6.34651i −0.0289121 + 0.441113i
\(208\) −0.0964407 0.359921i −0.00668696 0.0249561i
\(209\) −0.639817 3.21658i −0.0442571 0.222495i
\(210\) 4.31525 + 7.19661i 0.297781 + 0.496613i
\(211\) 26.3937 + 5.25003i 1.81702 + 0.361427i 0.982012 0.188818i \(-0.0604657\pi\)
0.835003 + 0.550245i \(0.185466\pi\)
\(212\) −0.630346 + 4.78795i −0.0432923 + 0.328838i
\(213\) −6.06890 4.65683i −0.415834 0.319081i
\(214\) −0.840794 + 0.285411i −0.0574755 + 0.0195103i
\(215\) 0.108619 + 1.65720i 0.00740773 + 0.113020i
\(216\) −0.980785 + 0.195090i −0.0667340 + 0.0132742i
\(217\) 5.26543 + 24.3579i 0.357441 + 1.65352i
\(218\) −0.773953 + 1.15830i −0.0524187 + 0.0784501i
\(219\) 8.07769 6.19823i 0.545840 0.418838i
\(220\) −1.51898 2.63094i −0.102409 0.177378i
\(221\) 1.30680 + 0.807851i 0.0879050 + 0.0543419i
\(222\) −1.81292 1.04669i −0.121675 0.0702492i
\(223\) −19.4440 8.05399i −1.30207 0.539335i −0.379509 0.925188i \(-0.623907\pi\)
−0.922560 + 0.385853i \(0.873907\pi\)
\(224\) 1.05278 + 2.42727i 0.0703421 + 0.162179i
\(225\) 3.57721 + 3.57721i 0.238480 + 0.238480i
\(226\) 4.08784 12.0424i 0.271919 0.801048i
\(227\) 4.43627 8.99587i 0.294446 0.597077i −0.698505 0.715605i \(-0.746151\pi\)
0.992951 + 0.118528i \(0.0378177\pi\)
\(228\) 1.10056 + 3.24215i 0.0728865 + 0.214717i
\(229\) −14.7352 1.93992i −0.973728 0.128194i −0.373160 0.927767i \(-0.621726\pi\)
−0.600568 + 0.799573i \(0.705059\pi\)
\(230\) 18.6362 7.71936i 1.22883 0.508999i
\(231\) 0.615333 2.45844i 0.0404859 0.161753i
\(232\) −4.40223 6.58840i −0.289020 0.432549i
\(233\) −25.2855 8.58326i −1.65651 0.562308i −0.672447 0.740145i \(-0.734757\pi\)
−0.984060 + 0.177837i \(0.943090\pi\)
\(234\) 0.0964407 0.359921i 0.00630452 0.0235288i
\(235\) 18.8006 + 1.23226i 1.22642 + 0.0803838i
\(236\) 2.40079 + 3.12877i 0.156278 + 0.203665i
\(237\) −0.162680 −0.0105672
\(238\) −10.0209 4.31070i −0.649557 0.279421i
\(239\) −16.6235 −1.07529 −0.537643 0.843173i \(-0.680685\pi\)
−0.537643 + 0.843173i \(0.680685\pi\)
\(240\) 1.93074 + 2.51619i 0.124629 + 0.162419i
\(241\) −16.1232 1.05677i −1.03859 0.0680727i −0.463445 0.886125i \(-0.653387\pi\)
−0.575143 + 0.818053i \(0.695054\pi\)
\(242\) 2.60954 9.73894i 0.167748 0.626043i
\(243\) −0.946930 0.321439i −0.0607456 0.0206204i
\(244\) 5.11883 + 7.66088i 0.327700 + 0.490437i
\(245\) 21.6193 5.04918i 1.38121 0.322581i
\(246\) 5.44021 2.25341i 0.346855 0.143672i
\(247\) −1.26488 0.166524i −0.0804821 0.0105957i
\(248\) 3.02766 + 8.91920i 0.192257 + 0.566370i
\(249\) −7.26834 + 14.7387i −0.460612 + 0.934030i
\(250\) 0.0600822 0.176996i 0.00379993 0.0111942i
\(251\) −9.49373 9.49373i −0.599239 0.599239i 0.340871 0.940110i \(-0.389278\pi\)
−0.940110 + 0.340871i \(0.889278\pi\)
\(252\) −0.301898 + 2.62847i −0.0190178 + 0.165578i
\(253\) −5.62841 2.33136i −0.353855 0.146572i
\(254\) 16.8432 + 9.72443i 1.05684 + 0.610165i
\(255\) −12.9077 2.09612i −0.808310 0.131264i
\(256\) 0.500000 + 0.866025i 0.0312500 + 0.0541266i
\(257\) −22.5605 + 17.3113i −1.40729 + 1.07985i −0.422447 + 0.906388i \(0.638829\pi\)
−0.984841 + 0.173462i \(0.944505\pi\)
\(258\) −0.290917 + 0.435388i −0.0181117 + 0.0271061i
\(259\) −4.10313 + 3.72022i −0.254956 + 0.231163i
\(260\) −1.15908 + 0.230556i −0.0718832 + 0.0142985i
\(261\) −0.518241 7.90683i −0.0320783 0.489421i
\(262\) 3.65244 1.23984i 0.225648 0.0765973i
\(263\) 8.36256 + 6.41681i 0.515657 + 0.395678i 0.833546 0.552450i \(-0.186307\pi\)
−0.317889 + 0.948128i \(0.602974\pi\)
\(264\) 0.125027 0.949672i 0.00769486 0.0584483i
\(265\) 15.0221 + 2.98809i 0.922802 + 0.183557i
\(266\) 9.05743 0.149859i 0.555347 0.00918844i
\(267\) −0.407599 2.04914i −0.0249447 0.125405i
\(268\) −0.594928 2.22030i −0.0363410 0.135627i
\(269\) 0.681178 10.3928i 0.0415322 0.633658i −0.925459 0.378848i \(-0.876320\pi\)
0.966991 0.254810i \(-0.0820130\pi\)
\(270\) 0.413975 + 3.14445i 0.0251937 + 0.191365i
\(271\) 12.4133 21.5005i 0.754054 1.30606i −0.191789 0.981436i \(-0.561429\pi\)
0.945843 0.324624i \(-0.105238\pi\)
\(272\) −3.94871 1.18647i −0.239426 0.0719401i
\(273\) −0.828657 0.534076i −0.0501526 0.0323238i
\(274\) 5.44258 13.1395i 0.328798 0.793789i
\(275\) −4.34605 + 2.14324i −0.262077 + 0.129242i
\(276\) 6.14341 + 1.64612i 0.369790 + 0.0990849i
\(277\) 11.8810 + 13.5477i 0.713862 + 0.814003i 0.989080 0.147379i \(-0.0470836\pi\)
−0.275219 + 0.961382i \(0.588750\pi\)
\(278\) 9.30634 0.609970i 0.558157 0.0365835i
\(279\) −1.83757 + 9.23808i −0.110012 + 0.553070i
\(280\) 7.90019 2.82835i 0.472127 0.169026i
\(281\) −3.64853 8.80834i −0.217653 0.525462i 0.776908 0.629614i \(-0.216787\pi\)
−0.994561 + 0.104153i \(0.966787\pi\)
\(282\) 4.46635 + 3.91689i 0.265967 + 0.233247i
\(283\) −16.9406 8.35419i −1.00702 0.496605i −0.137495 0.990502i \(-0.543905\pi\)
−0.869520 + 0.493897i \(0.835572\pi\)
\(284\) −5.75133 + 5.04378i −0.341279 + 0.299293i
\(285\) 10.4890 2.81053i 0.621316 0.166481i
\(286\) 0.296767 + 0.198293i 0.0175482 + 0.0117253i
\(287\) −1.27598 15.5270i −0.0753187 0.916531i
\(288\) 1.00000i 0.0589256i
\(289\) 15.2070 7.59921i 0.894528 0.447012i
\(290\) −21.7641 + 12.5655i −1.27803 + 0.737871i
\(291\) 10.1348 1.33427i 0.594110 0.0782161i
\(292\) −4.50325 9.13169i −0.263533 0.534392i
\(293\) −19.2168 + 19.2168i −1.12265 + 1.12265i −0.131314 + 0.991341i \(0.541920\pi\)
−0.991341 + 0.131314i \(0.958080\pi\)
\(294\) 6.37709 + 2.88664i 0.371920 + 0.168352i
\(295\) 10.3999 6.94899i 0.605505 0.404586i
\(296\) −1.38026 + 1.57389i −0.0802260 + 0.0914803i
\(297\) 0.583112 0.759927i 0.0338356 0.0440954i
\(298\) −2.67651 + 3.48809i −0.155046 + 0.202060i
\(299\) −1.56258 + 1.78178i −0.0903664 + 0.103043i
\(300\) 4.20635 2.81059i 0.242854 0.162270i
\(301\) 0.861453 + 1.08502i 0.0496533 + 0.0625395i
\(302\) −8.14789 + 8.14789i −0.468858 + 0.468858i
\(303\) −0.996125 2.01994i −0.0572259 0.116043i
\(304\) 3.39456 0.446903i 0.194692 0.0256316i
\(305\) 25.3069 14.6109i 1.44907 0.836620i
\(306\) −2.82645 3.00186i −0.161577 0.171605i
\(307\) 23.7066i 1.35301i −0.736439 0.676504i \(-0.763494\pi\)
0.736439 0.676504i \(-0.236506\pi\)
\(308\) −2.29116 1.08313i −0.130551 0.0617169i
\(309\) 14.1417 + 9.44920i 0.804495 + 0.537546i
\(310\) 28.8554 7.73179i 1.63888 0.439136i
\(311\) −9.67666 + 8.48620i −0.548713 + 0.481208i −0.888235 0.459390i \(-0.848068\pi\)
0.339522 + 0.940598i \(0.389735\pi\)
\(312\) −0.334191 0.164805i −0.0189198 0.00933023i
\(313\) −12.2553 10.7476i −0.692712 0.607492i 0.238858 0.971055i \(-0.423227\pi\)
−0.931570 + 0.363563i \(0.881560\pi\)
\(314\) −4.25121 10.2633i −0.239910 0.579193i
\(315\) 8.25594 + 1.50067i 0.465169 + 0.0845533i
\(316\) −0.0317373 + 0.159554i −0.00178536 + 0.00897562i
\(317\) 0.326498 0.0213998i 0.0183379 0.00120193i −0.0562314 0.998418i \(-0.517908\pi\)
0.0745693 + 0.997216i \(0.476242\pi\)
\(318\) 3.18416 + 3.63084i 0.178559 + 0.203607i
\(319\) 7.33132 + 1.96442i 0.410475 + 0.109986i
\(320\) 2.84451 1.40276i 0.159013 0.0784164i
\(321\) −0.339790 + 0.820327i −0.0189653 + 0.0457862i
\(322\) 9.11601 14.1441i 0.508015 0.788222i
\(323\) −8.92687 + 10.9361i −0.496704 + 0.608501i
\(324\) −0.500000 + 0.866025i −0.0277778 + 0.0481125i
\(325\) 0.246048 + 1.86892i 0.0136483 + 0.103669i
\(326\) −0.0639458 + 0.975624i −0.00354163 + 0.0540348i
\(327\) 0.360555 + 1.34561i 0.0199387 + 0.0744124i
\(328\) −1.14878 5.77530i −0.0634307 0.318888i
\(329\) 13.4797 8.08273i 0.743158 0.445615i
\(330\) −2.97958 0.592675i −0.164020 0.0326257i
\(331\) −0.176900 + 1.34369i −0.00972332 + 0.0738560i −0.995619 0.0935076i \(-0.970192\pi\)
0.985895 + 0.167364i \(0.0535254\pi\)
\(332\) 13.0376 + 10.0041i 0.715529 + 0.549044i
\(333\) −1.98228 + 0.672895i −0.108629 + 0.0368744i
\(334\) 1.53321 + 23.3922i 0.0838933 + 1.27996i
\(335\) −7.15020 + 1.42226i −0.390657 + 0.0777065i
\(336\) 2.51907 + 0.808886i 0.137426 + 0.0441284i
\(337\) −2.80443 + 4.19713i −0.152767 + 0.228632i −0.899957 0.435978i \(-0.856402\pi\)
0.747190 + 0.664610i \(0.231402\pi\)
\(338\) −10.2034 + 7.82938i −0.554994 + 0.425862i
\(339\) −6.35865 11.0135i −0.345354 0.598171i
\(340\) −4.57400 + 12.2507i −0.248060 + 0.664389i
\(341\) −7.81346 4.51110i −0.423123 0.244290i
\(342\) 3.16323 + 1.31025i 0.171048 + 0.0708503i
\(343\) 12.4300 13.7294i 0.671156 0.741317i
\(344\) 0.370267 + 0.370267i 0.0199635 + 0.0199635i
\(345\) 6.48397 19.1011i 0.349085 1.02837i
\(346\) −7.41108 + 15.0282i −0.398422 + 0.807921i
\(347\) 1.51071 + 4.45041i 0.0810992 + 0.238911i 0.979915 0.199416i \(-0.0639046\pi\)
−0.898816 + 0.438327i \(0.855571\pi\)
\(348\) −7.85601 1.03426i −0.421126 0.0554423i
\(349\) −19.9708 + 8.27218i −1.06901 + 0.442799i −0.846642 0.532163i \(-0.821379\pi\)
−0.222370 + 0.974962i \(0.571379\pi\)
\(350\) −3.67762 12.8695i −0.196577 0.687905i
\(351\) −0.207016 0.309821i −0.0110497 0.0165370i
\(352\) −0.907033 0.307896i −0.0483450 0.0164109i
\(353\) 3.41164 12.7324i 0.181583 0.677678i −0.813753 0.581211i \(-0.802579\pi\)
0.995336 0.0964669i \(-0.0307542\pi\)
\(354\) 3.93528 + 0.257932i 0.209158 + 0.0137089i
\(355\) 14.7695 + 19.2480i 0.783884 + 1.02158i
\(356\) −2.08928 −0.110732
\(357\) −9.84817 + 4.69185i −0.521221 + 0.248319i
\(358\) −0.799863 −0.0422741
\(359\) −3.87503 5.05004i −0.204516 0.266531i 0.679822 0.733377i \(-0.262057\pi\)
−0.884339 + 0.466846i \(0.845390\pi\)
\(360\) 3.16479 + 0.207431i 0.166799 + 0.0109326i
\(361\) −1.88348 + 7.02925i −0.0991306 + 0.369961i
\(362\) 0.166440 + 0.0564989i 0.00874791 + 0.00296951i
\(363\) −5.60153 8.38329i −0.294004 0.440008i
\(364\) −0.685477 + 0.708542i −0.0359288 + 0.0371377i
\(365\) −29.8340 + 12.3577i −1.56158 + 0.646829i
\(366\) 9.13483 + 1.20262i 0.477485 + 0.0628621i
\(367\) 3.37948 + 9.95562i 0.176407 + 0.519679i 0.998786 0.0492614i \(-0.0156868\pi\)
−0.822379 + 0.568941i \(0.807353\pi\)
\(368\) 2.81301 5.70422i 0.146638 0.297353i
\(369\) 1.89278 5.57594i 0.0985341 0.290272i
\(370\) 4.69471 + 4.69471i 0.244066 + 0.244066i
\(371\) 11.7219 5.08418i 0.608573 0.263957i
\(372\) 8.70208 + 3.60452i 0.451182 + 0.186886i
\(373\) −7.65111 4.41737i −0.396160 0.228723i 0.288666 0.957430i \(-0.406788\pi\)
−0.684826 + 0.728707i \(0.740122\pi\)
\(374\) 3.59304 1.63942i 0.185792 0.0847723i
\(375\) −0.0934580 0.161874i −0.00482615 0.00835914i
\(376\) 4.71297 3.61639i 0.243053 0.186501i
\(377\) 1.64035 2.45496i 0.0844823 0.126437i
\(378\) 1.77713 + 1.96005i 0.0914059 + 0.100814i
\(379\) −8.12688 + 1.61654i −0.417450 + 0.0830359i −0.399346 0.916800i \(-0.630763\pi\)
−0.0181036 + 0.999836i \(0.505763\pi\)
\(380\) −0.710215 10.8358i −0.0364333 0.555864i
\(381\) 18.4167 6.25163i 0.943517 0.320281i
\(382\) 6.57012 + 5.04143i 0.336156 + 0.257942i
\(383\) −1.78742 + 13.5768i −0.0913330 + 0.693743i 0.883119 + 0.469149i \(0.155439\pi\)
−0.974452 + 0.224595i \(0.927894\pi\)
\(384\) 0.980785 + 0.195090i 0.0500505 + 0.00995566i
\(385\) −3.90313 + 7.02635i −0.198922 + 0.358096i
\(386\) −1.91847 9.64482i −0.0976477 0.490908i
\(387\) 0.135527 + 0.505794i 0.00688923 + 0.0257110i
\(388\) 0.668565 10.2003i 0.0339412 0.517843i
\(389\) −2.43501 18.4958i −0.123460 0.937773i −0.935291 0.353880i \(-0.884862\pi\)
0.811831 0.583893i \(-0.198471\pi\)
\(390\) −0.590894 + 1.02346i −0.0299211 + 0.0518249i
\(391\) 7.67841 + 25.0741i 0.388314 + 1.26805i
\(392\) 4.07528 5.69141i 0.205833 0.287459i
\(393\) 1.47606 3.56353i 0.0744575 0.179756i
\(394\) −15.1925 + 7.49209i −0.765385 + 0.377446i
\(395\) 0.498372 + 0.133538i 0.0250758 + 0.00671905i
\(396\) −0.631565 0.720162i −0.0317373 0.0361895i
\(397\) 20.7385 1.35927i 1.04083 0.0682199i 0.464614 0.885514i \(-0.346193\pi\)
0.576221 + 0.817294i \(0.304527\pi\)
\(398\) 1.12234 5.64238i 0.0562578 0.282827i
\(399\) 5.85931 6.90854i 0.293332 0.345860i
\(400\) −1.93597 4.67385i −0.0967985 0.233692i
\(401\) 26.6699 + 23.3889i 1.33183 + 1.16799i 0.972003 + 0.234968i \(0.0754987\pi\)
0.359830 + 0.933018i \(0.382835\pi\)
\(402\) −2.06157 1.01666i −0.102822 0.0507062i
\(403\) −2.63874 + 2.31412i −0.131445 + 0.115274i
\(404\) −2.17546 + 0.582914i −0.108233 + 0.0290010i
\(405\) 2.63707 + 1.76204i 0.131037 + 0.0875563i
\(406\) −8.95999 + 18.9532i −0.444677 + 0.940632i
\(407\) 2.00518i 0.0993930i
\(408\) −3.49560 + 2.18650i −0.173058 + 0.108248i
\(409\) −0.689910 + 0.398320i −0.0341139 + 0.0196956i −0.516960 0.856010i \(-0.672936\pi\)
0.482846 + 0.875705i \(0.339603\pi\)
\(410\) −18.5159 + 2.43767i −0.914436 + 0.120388i
\(411\) −6.29029 12.7554i −0.310277 0.629180i
\(412\) 12.0266 12.0266i 0.592506 0.592506i
\(413\) 3.83294 9.70460i 0.188607 0.477532i
\(414\) 5.28825 3.53350i 0.259903 0.173662i
\(415\) 34.3652 39.1860i 1.68692 1.92356i
\(416\) −0.226836 + 0.295618i −0.0111215 + 0.0144939i
\(417\) 5.67749 7.39906i 0.278028 0.362333i
\(418\) −2.16239 + 2.46573i −0.105766 + 0.120603i
\(419\) 30.0798 20.0987i 1.46949 0.981884i 0.474681 0.880158i \(-0.342563\pi\)
0.994812 0.101727i \(-0.0324367\pi\)
\(420\) 3.08249 7.80454i 0.150410 0.380822i
\(421\) −15.7514 + 15.7514i −0.767675 + 0.767675i −0.977697 0.210021i \(-0.932647\pi\)
0.210021 + 0.977697i \(0.432647\pi\)
\(422\) −11.9023 24.1355i −0.579396 1.17490i
\(423\) 5.88974 0.775399i 0.286369 0.0377012i
\(424\) 4.18227 2.41463i 0.203109 0.117265i
\(425\) 19.0219 + 8.55833i 0.922698 + 0.415140i
\(426\) 7.64968i 0.370628i
\(427\) 10.4185 22.0385i 0.504188 1.06652i
\(428\) 0.738275 + 0.493299i 0.0356858 + 0.0238445i
\(429\) 0.344757 0.0923773i 0.0166450 0.00446002i
\(430\) 1.24862 1.09501i 0.0602140 0.0528062i
\(431\) 17.4427 + 8.60177i 0.840183 + 0.414333i 0.810862 0.585238i \(-0.198999\pi\)
0.0293213 + 0.999570i \(0.490665\pi\)
\(432\) 0.751840 + 0.659346i 0.0361729 + 0.0317228i
\(433\) −6.92479 16.7179i −0.332784 0.803412i −0.998369 0.0570898i \(-0.981818\pi\)
0.665585 0.746322i \(-0.268182\pi\)
\(434\) 16.1190 19.0055i 0.773738 0.912293i
\(435\) −4.90281 + 24.6481i −0.235072 + 1.18179i
\(436\) 1.39010 0.0911117i 0.0665735 0.00436346i
\(437\) −14.3580 16.3722i −0.686837 0.783187i
\(438\) −9.83477 2.63522i −0.469924 0.125916i
\(439\) 32.1848 15.8718i 1.53610 0.757518i 0.539660 0.841883i \(-0.318553\pi\)
0.996435 + 0.0843648i \(0.0268861\pi\)
\(440\) −1.16257 + 2.80670i −0.0554235 + 0.133804i
\(441\) 6.37500 2.89126i 0.303571 0.137679i
\(442\) −0.154619 1.52854i −0.00735448 0.0727054i
\(443\) −18.4434 + 31.9449i −0.876271 + 1.51775i −0.0208689 + 0.999782i \(0.506643\pi\)
−0.855402 + 0.517964i \(0.826690\pi\)
\(444\) 0.273241 + 2.07547i 0.0129674 + 0.0984975i
\(445\) −0.433383 + 6.61215i −0.0205443 + 0.313446i
\(446\) 5.44713 + 20.3290i 0.257929 + 0.962604i
\(447\) 0.857743 + 4.31216i 0.0405698 + 0.203958i
\(448\) 1.28479 2.31286i 0.0607006 0.109272i
\(449\) 37.8106 + 7.52099i 1.78439 + 0.354938i 0.973221 0.229872i \(-0.0738307\pi\)
0.811171 + 0.584809i \(0.198831\pi\)
\(450\) 0.660323 5.01565i 0.0311279 0.236440i
\(451\) 4.47478 + 3.43362i 0.210709 + 0.161683i
\(452\) −12.0424 + 4.08784i −0.566426 + 0.192276i
\(453\) 0.753631 + 11.4982i 0.0354087 + 0.540232i
\(454\) −9.83753 + 1.95681i −0.461698 + 0.0918375i
\(455\) 2.10020 + 2.31637i 0.0984587 + 0.108593i
\(456\) 1.90219 2.84683i 0.0890783 0.133315i
\(457\) −21.9599 + 16.8504i −1.02724 + 0.788229i −0.977586 0.210537i \(-0.932479\pi\)
−0.0496545 + 0.998766i \(0.515812\pi\)
\(458\) 7.43116 + 12.8712i 0.347235 + 0.601429i
\(459\) −4.12053 + 0.145770i −0.192330 + 0.00680397i
\(460\) −17.4692 10.0858i −0.814504 0.470254i
\(461\) 23.6306 + 9.78813i 1.10059 + 0.455879i 0.857687 0.514172i \(-0.171901\pi\)
0.242902 + 0.970051i \(0.421901\pi\)
\(462\) −2.32500 + 1.00843i −0.108169 + 0.0469162i
\(463\) 14.0528 + 14.0528i 0.653088 + 0.653088i 0.953735 0.300647i \(-0.0972027\pi\)
−0.300647 + 0.953735i \(0.597203\pi\)
\(464\) −2.54702 + 7.50328i −0.118242 + 0.348331i
\(465\) 13.2126 26.7926i 0.612722 1.24248i
\(466\) 8.58326 + 25.2855i 0.397612 + 1.17133i
\(467\) 39.6801 + 5.22399i 1.83618 + 0.241737i 0.967362 0.253400i \(-0.0815488\pi\)
0.868815 + 0.495137i \(0.164882\pi\)
\(468\) −0.344254 + 0.142595i −0.0159132 + 0.00659145i
\(469\) −4.22860 + 4.37089i −0.195259 + 0.201829i
\(470\) −10.4675 15.6657i −0.482829 0.722605i
\(471\) −10.5194 3.57085i −0.484708 0.164536i
\(472\) 1.02071 3.80935i 0.0469820 0.175339i
\(473\) −0.500500 0.0328045i −0.0230130 0.00150835i
\(474\) 0.0990333 + 0.129063i 0.00454875 + 0.00592805i
\(475\) −17.3211 −0.794745
\(476\) 2.68041 + 10.5743i 0.122857 + 0.484671i
\(477\) 4.82927 0.221117
\(478\) 10.1198 + 13.1883i 0.462867 + 0.603220i
\(479\) −34.1026 2.23520i −1.55819 0.102129i −0.738227 0.674552i \(-0.764337\pi\)
−0.819958 + 0.572423i \(0.806003\pi\)
\(480\) 0.820866 3.06351i 0.0374672 0.139830i
\(481\) −0.738635 0.250733i −0.0336789 0.0114324i
\(482\) 8.97681 + 13.4347i 0.408882 + 0.611936i
\(483\) −4.62352 16.1797i −0.210378 0.736200i
\(484\) −9.31501 + 3.85840i −0.423409 + 0.175382i
\(485\) −32.1432 4.23174i −1.45955 0.192153i
\(486\) 0.321439 + 0.946930i 0.0145808 + 0.0429536i
\(487\) −11.3425 + 23.0003i −0.513977 + 1.04224i 0.472953 + 0.881088i \(0.343188\pi\)
−0.986929 + 0.161154i \(0.948479\pi\)
\(488\) 2.96163 8.72469i 0.134067 0.394948i
\(489\) 0.691351 + 0.691351i 0.0312640 + 0.0312640i
\(490\) −17.1668 14.0780i −0.775516 0.635979i
\(491\) −35.5073 14.7076i −1.60242 0.663744i −0.610665 0.791889i \(-0.709098\pi\)
−0.991755 + 0.128145i \(0.959098\pi\)
\(492\) −5.09954 2.94422i −0.229905 0.132736i
\(493\) −13.5618 29.7229i −0.610794 1.33865i
\(494\) 0.637895 + 1.10487i 0.0287003 + 0.0497103i
\(495\) −2.41017 + 1.84939i −0.108329 + 0.0831238i
\(496\) 5.23295 7.83167i 0.234967 0.351652i
\(497\) 19.2701 + 6.18772i 0.864380 + 0.277557i
\(498\) 16.1177 3.20601i 0.722252 0.143665i
\(499\) −0.445090 6.79075i −0.0199249 0.303996i −0.996177 0.0873581i \(-0.972158\pi\)
0.976252 0.216638i \(-0.0695091\pi\)
\(500\) −0.176996 + 0.0600822i −0.00791552 + 0.00268696i
\(501\) 18.5981 + 14.2708i 0.830902 + 0.637573i
\(502\) −1.75247 + 13.3113i −0.0782164 + 0.594112i
\(503\) 19.8299 + 3.94442i 0.884173 + 0.175873i 0.616234 0.787563i \(-0.288657\pi\)
0.267939 + 0.963436i \(0.413657\pi\)
\(504\) 2.26909 1.36060i 0.101073 0.0606059i
\(505\) 1.39354 + 7.00580i 0.0620118 + 0.311754i
\(506\) 1.57676 + 5.88456i 0.0700957 + 0.261601i
\(507\) −0.841160 + 12.8336i −0.0373572 + 0.569961i
\(508\) −2.53859 19.2825i −0.112632 0.855522i
\(509\) 0.933579 1.61701i 0.0413801 0.0716725i −0.844594 0.535408i \(-0.820158\pi\)
0.885974 + 0.463735i \(0.153491\pi\)
\(510\) 6.19474 + 11.5164i 0.274307 + 0.509954i
\(511\) −14.5935 + 22.6429i −0.645579 + 1.00166i
\(512\) 0.382683 0.923880i 0.0169124 0.0408301i
\(513\) 3.07076 1.51433i 0.135577 0.0668594i
\(514\) 27.4680 + 7.36002i 1.21156 + 0.324637i
\(515\) −35.5668 40.5562i −1.56726 1.78712i
\(516\) 0.522516 0.0342475i 0.0230025 0.00150766i
\(517\) −1.11012 + 5.58093i −0.0488228 + 0.245449i
\(518\) 5.44927 + 0.990507i 0.239427 + 0.0435204i
\(519\) 6.41233 + 15.4807i 0.281470 + 0.679528i
\(520\) 0.888516 + 0.779208i 0.0389640 + 0.0341705i
\(521\) −31.3667 15.4684i −1.37420 0.677681i −0.402836 0.915272i \(-0.631975\pi\)
−0.971365 + 0.237591i \(0.923642\pi\)
\(522\) −5.95743 + 5.22452i −0.260749 + 0.228671i
\(523\) −28.1536 + 7.54375i −1.23107 + 0.329865i −0.814997 0.579465i \(-0.803262\pi\)
−0.416076 + 0.909330i \(0.636595\pi\)
\(524\) −3.20709 2.14291i −0.140102 0.0936135i
\(525\) −12.1006 5.72049i −0.528116 0.249663i
\(526\) 10.5408i 0.459599i
\(527\) 6.42719 + 38.3003i 0.279973 + 1.66839i
\(528\) −0.829537 + 0.478933i −0.0361009 + 0.0208429i
\(529\) −17.3019 + 2.27784i −0.752256 + 0.0990363i
\(530\) −6.77428 13.7369i −0.294256 0.596692i
\(531\) 2.78863 2.78863i 0.121016 0.121016i
\(532\) −5.63270 7.09451i −0.244209 0.307586i
\(533\) 1.82436 1.21900i 0.0790219 0.0528007i
\(534\) −1.37756 + 1.57081i −0.0596129 + 0.0679754i
\(535\) 1.71433 2.23416i 0.0741170 0.0965911i
\(536\) −1.39931 + 1.82362i −0.0604412 + 0.0787685i
\(537\) −0.527386 + 0.601369i −0.0227584 + 0.0259510i
\(538\) −8.65981 + 5.78630i −0.373351 + 0.249465i
\(539\) 0.659633 + 6.67254i 0.0284124 + 0.287407i
\(540\) 2.24265 2.24265i 0.0965082 0.0965082i
\(541\) 6.88596 + 13.9633i 0.296050 + 0.600331i 0.993177 0.116617i \(-0.0372051\pi\)
−0.697126 + 0.716948i \(0.745538\pi\)
\(542\) −24.6142 + 3.24052i −1.05727 + 0.139192i
\(543\) 0.152220 0.0878841i 0.00653238 0.00377147i
\(544\) 1.46253 + 3.85500i 0.0627056 + 0.165282i
\(545\) 4.41826i 0.189258i
\(546\) 0.0807434 + 0.982543i 0.00345550 + 0.0420489i
\(547\) −8.40512 5.61612i −0.359377 0.240128i 0.362753 0.931885i \(-0.381837\pi\)
−0.722130 + 0.691757i \(0.756837\pi\)
\(548\) −13.7375 + 3.68096i −0.586838 + 0.157243i
\(549\) 6.92719 6.07499i 0.295645 0.259274i
\(550\) 4.34605 + 2.14324i 0.185316 + 0.0913879i
\(551\) 20.3974 + 17.8880i 0.868957 + 0.762055i
\(552\) −2.43391 5.87599i −0.103594 0.250099i
\(553\) 0.405224 0.145075i 0.0172319 0.00616920i
\(554\) 3.51541 17.6732i 0.149356 0.750861i
\(555\) 6.62511 0.434233i 0.281220 0.0184322i
\(556\) −6.14926 7.01189i −0.260787 0.297370i
\(557\) −17.8431 4.78105i −0.756038 0.202580i −0.139843 0.990174i \(-0.544660\pi\)
−0.616194 + 0.787594i \(0.711326\pi\)
\(558\) 8.44770 4.16595i 0.357620 0.176359i
\(559\) −0.0746679 + 0.180264i −0.00315811 + 0.00762436i
\(560\) −7.05321 4.54585i −0.298053 0.192097i
\(561\) 1.13648 3.78234i 0.0479821 0.159690i
\(562\) −4.76704 + 8.25675i −0.201085 + 0.348290i
\(563\) 0.211824 + 1.60896i 0.00892730 + 0.0678096i 0.995329 0.0965450i \(-0.0307792\pi\)
−0.986401 + 0.164355i \(0.947446\pi\)
\(564\) 0.388531 5.92785i 0.0163601 0.249607i
\(565\) 10.4392 + 38.9596i 0.439180 + 1.63904i
\(566\) 3.68497 + 18.5256i 0.154891 + 0.778689i
\(567\) 2.64539 0.0437691i 0.111096 0.00183813i
\(568\) 7.50269 + 1.49238i 0.314806 + 0.0626188i
\(569\) −3.69815 + 28.0902i −0.155035 + 1.17760i 0.720151 + 0.693817i \(0.244072\pi\)
−0.875186 + 0.483787i \(0.839261\pi\)
\(570\) −8.61505 6.61056i −0.360845 0.276886i
\(571\) −5.55262 + 1.88486i −0.232370 + 0.0788790i −0.435196 0.900336i \(-0.643321\pi\)
0.202826 + 0.979215i \(0.434988\pi\)
\(572\) −0.0233436 0.356154i −0.000976044 0.0148916i
\(573\) 8.12232 1.61563i 0.339315 0.0674939i
\(574\) −11.5416 + 10.4646i −0.481739 + 0.436782i
\(575\) −17.8757 + 26.7529i −0.745469 + 1.11567i
\(576\) 0.793353 0.608761i 0.0330564 0.0253651i
\(577\) 20.0527 + 34.7323i 0.834806 + 1.44593i 0.894189 + 0.447691i \(0.147753\pi\)
−0.0593829 + 0.998235i \(0.518913\pi\)
\(578\) −15.2863 7.43839i −0.635825 0.309396i
\(579\) −8.51630 4.91689i −0.353925 0.204339i
\(580\) 23.2180 + 9.61721i 0.964075 + 0.399333i
\(581\) 4.96123 43.1949i 0.205827 1.79203i
\(582\) −7.22820 7.22820i −0.299618 0.299618i
\(583\) −1.48691 + 4.38030i −0.0615816 + 0.181414i
\(584\) −4.50325 + 9.13169i −0.186346 + 0.377872i
\(585\) 0.379874 + 1.11907i 0.0157058 + 0.0462679i
\(586\) 26.9441 + 3.54726i 1.11305 + 0.146536i
\(587\) −30.6431 + 12.6928i −1.26478 + 0.523887i −0.911372 0.411583i \(-0.864976\pi\)
−0.353404 + 0.935471i \(0.614976\pi\)
\(588\) −1.59201 6.81656i −0.0656533 0.281110i
\(589\) −17.9169 26.8145i −0.738252 1.10487i
\(590\) −11.8441 4.02052i −0.487612 0.165522i
\(591\) −4.38423 + 16.3622i −0.180343 + 0.673050i
\(592\) 2.08890 + 0.136914i 0.0858532 + 0.00562711i
\(593\) 8.51962 + 11.1030i 0.349859 + 0.455945i 0.934823 0.355114i \(-0.115558\pi\)
−0.584964 + 0.811059i \(0.698891\pi\)
\(594\) −0.957866 −0.0393017
\(595\) 34.0214 6.28951i 1.39474 0.257845i
\(596\) 4.39664 0.180094
\(597\) −3.50216 4.56410i −0.143334 0.186796i
\(598\) 2.36482 + 0.154999i 0.0967048 + 0.00633837i
\(599\) 9.07843 33.8812i 0.370935 1.38435i −0.488260 0.872698i \(-0.662368\pi\)
0.859195 0.511649i \(-0.170965\pi\)
\(600\) −4.79046 1.62614i −0.195570 0.0663869i
\(601\) −19.8219 29.6656i −0.808554 1.21009i −0.974597 0.223968i \(-0.928099\pi\)
0.166043 0.986119i \(-0.446901\pi\)
\(602\) 0.336384 1.34395i 0.0137100 0.0547755i
\(603\) −2.12365 + 0.879646i −0.0864818 + 0.0358219i
\(604\) 11.4243 + 1.50403i 0.464847 + 0.0611983i
\(605\) 10.2788 + 30.2804i 0.417893 + 1.23107i
\(606\) −0.996125 + 2.01994i −0.0404648 + 0.0820545i
\(607\) 0.495017 1.45827i 0.0200921 0.0591895i −0.936421 0.350877i \(-0.885883\pi\)
0.956514 + 0.291688i \(0.0942168\pi\)
\(608\) −2.42103 2.42103i −0.0981858 0.0981858i
\(609\) 8.34205 + 19.2332i 0.338037 + 0.779369i
\(610\) −26.9975 11.1827i −1.09310 0.452775i
\(611\) 1.91700 + 1.10678i 0.0775535 + 0.0447756i
\(612\) −0.660906 + 4.06979i −0.0267155 + 0.164512i
\(613\) −14.6448 25.3655i −0.591497 1.02450i −0.994031 0.109098i \(-0.965204\pi\)
0.402534 0.915405i \(-0.368130\pi\)
\(614\) −18.8077 + 14.4317i −0.759017 + 0.582415i
\(615\) −10.3757 + 15.5283i −0.418387 + 0.626160i
\(616\) 0.535464 + 2.47706i 0.0215745 + 0.0998037i
\(617\) 24.1085 4.79549i 0.970573 0.193059i 0.315751 0.948842i \(-0.397744\pi\)
0.654822 + 0.755783i \(0.272744\pi\)
\(618\) −1.11238 16.9717i −0.0447466 0.682702i
\(619\) 20.1166 6.82868i 0.808556 0.274468i 0.113606 0.993526i \(-0.463760\pi\)
0.694950 + 0.719058i \(0.255426\pi\)
\(620\) −23.7001 18.1857i −0.951820 0.730357i
\(621\) 0.830163 6.30571i 0.0333133 0.253040i
\(622\) 12.6233 + 2.51094i 0.506149 + 0.100679i
\(623\) 2.84268 + 4.74077i 0.113890 + 0.189935i
\(624\) 0.0726942 + 0.365458i 0.00291010 + 0.0146300i
\(625\) −6.39331 23.8602i −0.255732 0.954406i
\(626\) −1.06610 + 16.2655i −0.0426099 + 0.650102i
\(627\) 0.428073 + 3.25154i 0.0170956 + 0.129854i
\(628\) −5.55447 + 9.62063i −0.221648 + 0.383905i
\(629\) −6.65757 + 5.49317i −0.265455 + 0.219027i
\(630\) −3.83533 7.46343i −0.152803 0.297350i
\(631\) 8.05526 19.4471i 0.320675 0.774178i −0.678540 0.734563i \(-0.737387\pi\)
0.999215 0.0396145i \(-0.0126130\pi\)
\(632\) 0.145903 0.0719515i 0.00580372 0.00286208i
\(633\) −25.9938 6.96502i −1.03316 0.276835i
\(634\) −0.215737 0.246001i −0.00856800 0.00976994i
\(635\) −61.5516 + 4.03431i −2.44260 + 0.160097i
\(636\) 0.942144 4.73648i 0.0373584 0.187813i
\(637\) 2.54040 + 0.591367i 0.100654 + 0.0234308i
\(638\) −2.90454 7.01219i −0.114992 0.277615i
\(639\) 5.75133 + 5.04378i 0.227519 + 0.199529i
\(640\) −2.84451 1.40276i −0.112439 0.0554488i
\(641\) 4.45444 3.90644i 0.175940 0.154295i −0.566847 0.823823i \(-0.691837\pi\)
0.742787 + 0.669528i \(0.233504\pi\)
\(642\) 0.857660 0.229809i 0.0338491 0.00906985i
\(643\) −33.7196 22.5307i −1.32977 0.888525i −0.331286 0.943530i \(-0.607482\pi\)
−0.998486 + 0.0550053i \(0.982482\pi\)
\(644\) −16.7708 + 1.37819i −0.660861 + 0.0543082i
\(645\) 1.66076i 0.0653922i
\(646\) 14.1105 + 0.424686i 0.555171 + 0.0167090i
\(647\) −37.1856 + 21.4691i −1.46192 + 0.844037i −0.999100 0.0424177i \(-0.986494\pi\)
−0.462815 + 0.886455i \(0.653161\pi\)
\(648\) 0.991445 0.130526i 0.0389476 0.00512755i
\(649\) 1.67077 + 3.38799i 0.0655836 + 0.132990i
\(650\) 1.33293 1.33293i 0.0522819 0.0522819i
\(651\) −3.66107 24.6501i −0.143489 0.966114i
\(652\) 0.812942 0.543191i 0.0318373 0.0212730i
\(653\) 17.6219 20.0940i 0.689600 0.786338i −0.296044 0.955174i \(-0.595668\pi\)
0.985644 + 0.168836i \(0.0540010\pi\)
\(654\) 0.848052 1.10520i 0.0331615 0.0432169i
\(655\) −7.44712 + 9.70527i −0.290983 + 0.379216i
\(656\) −3.88252 + 4.42717i −0.151587 + 0.172852i
\(657\) −8.46578 + 5.65665i −0.330281 + 0.220687i
\(658\) −14.6184 5.77369i −0.569883 0.225082i
\(659\) −33.4632 + 33.4632i −1.30354 + 1.30354i −0.377555 + 0.925987i \(0.623235\pi\)
−0.925987 + 0.377555i \(0.876765\pi\)
\(660\) 1.34365 + 2.72466i 0.0523016 + 0.106057i
\(661\) 9.24875 1.21762i 0.359735 0.0473600i 0.0515071 0.998673i \(-0.483598\pi\)
0.308228 + 0.951313i \(0.400264\pi\)
\(662\) 1.17371 0.677643i 0.0456176 0.0263374i
\(663\) −1.25117 0.891590i −0.0485913 0.0346265i
\(664\) 16.4335i 0.637743i
\(665\) −23.6211 + 16.3547i −0.915985 + 0.634209i
\(666\) 1.74058 + 1.16302i 0.0674462 + 0.0450661i
\(667\) 48.6791 13.0435i 1.88486 0.505047i
\(668\) 17.6249 15.4566i 0.681929 0.598035i
\(669\) 18.8757 + 9.30845i 0.729775 + 0.359885i
\(670\) 5.48112 + 4.80682i 0.211754 + 0.185703i
\(671\) 3.37735 + 8.15365i 0.130381 + 0.314768i
\(672\) −0.891779 2.49093i −0.0344011 0.0960897i
\(673\) 1.48253 7.45316i 0.0571472 0.287298i −0.941635 0.336636i \(-0.890711\pi\)
0.998782 + 0.0493373i \(0.0157109\pi\)
\(674\) 5.03704 0.330145i 0.194019 0.0127167i
\(675\) −3.33559 3.80351i −0.128387 0.146397i
\(676\) 12.4229 + 3.32871i 0.477805 + 0.128027i
\(677\) 3.08502 1.52136i 0.118567 0.0584707i −0.382038 0.924147i \(-0.624778\pi\)
0.500605 + 0.865676i \(0.333111\pi\)
\(678\) −4.86670 + 11.7492i −0.186904 + 0.451227i
\(679\) −24.0551 + 12.3615i −0.923151 + 0.474392i
\(680\) 12.5036 3.82897i 0.479492 0.146834i
\(681\) −5.01513 + 8.68646i −0.192180 + 0.332866i
\(682\) 1.17763 + 8.94502i 0.0450940 + 0.342523i
\(683\) 0.908377 13.8591i 0.0347581 0.530306i −0.944607 0.328205i \(-0.893556\pi\)
0.979365 0.202101i \(-0.0647769\pi\)
\(684\) −0.886159 3.30719i −0.0338831 0.126454i
\(685\) 8.79988 + 44.2400i 0.336226 + 1.69032i
\(686\) −18.4591 1.50345i −0.704773 0.0574019i
\(687\) 14.5767 + 2.89950i 0.556138 + 0.110623i
\(688\) 0.0683483 0.519157i 0.00260576 0.0197927i
\(689\) 1.42762 + 1.09545i 0.0543879 + 0.0417333i
\(690\) −19.1011 + 6.48397i −0.727168 + 0.246840i
\(691\) −0.718844 10.9674i −0.0273461 0.417221i −0.989483 0.144653i \(-0.953794\pi\)
0.962136 0.272568i \(-0.0878731\pi\)
\(692\) 16.4342 3.26898i 0.624736 0.124268i
\(693\) −0.774805 + 2.41293i −0.0294324 + 0.0916596i
\(694\) 2.61109 3.90777i 0.0991154 0.148337i
\(695\) −23.4667 + 18.0066i −0.890143 + 0.683031i
\(696\) 3.96190 + 6.86221i 0.150175 + 0.260111i
\(697\) −0.858360 24.2635i −0.0325127 0.919045i
\(698\) 18.7202 + 10.8081i 0.708570 + 0.409093i
\(699\) 24.6700 + 10.2186i 0.933104 + 0.386504i
\(700\) −7.97130 + 10.7521i −0.301287 + 0.406392i
\(701\) 1.99150 + 1.99150i 0.0752181 + 0.0752181i 0.743715 0.668497i \(-0.233062\pi\)
−0.668497 + 0.743715i \(0.733062\pi\)
\(702\) −0.119774 + 0.352843i −0.00452058 + 0.0133172i
\(703\) 3.17007 6.42827i 0.119562 0.242447i
\(704\) 0.307896 + 0.907033i 0.0116043 + 0.0341851i
\(705\) −18.6798 2.45924i −0.703522 0.0926204i
\(706\) −12.1782 + 5.04437i −0.458332 + 0.189847i
\(707\) 4.28262 + 4.14321i 0.161064 + 0.155821i
\(708\) −2.19102 3.27909i −0.0823434 0.123236i
\(709\) 18.5967 + 6.31273i 0.698414 + 0.237080i 0.647991 0.761648i \(-0.275610\pi\)
0.0504233 + 0.998728i \(0.483943\pi\)
\(710\) 6.27936 23.4349i 0.235660 0.879496i
\(711\) 0.162332 + 0.0106398i 0.00608791 + 0.000399023i
\(712\) 1.27188 + 1.65754i 0.0476655 + 0.0621189i
\(713\) −59.9064 −2.24351
\(714\) 9.71748 + 4.95687i 0.363668 + 0.185506i
\(715\) −1.13200 −0.0423342
\(716\) 0.486926 + 0.634574i 0.0181973 + 0.0237151i
\(717\) 16.5879 + 1.08723i 0.619487 + 0.0406033i
\(718\) −1.64750 + 6.14854i −0.0614840 + 0.229462i
\(719\) 16.0724 + 5.45585i 0.599400 + 0.203469i 0.604615 0.796518i \(-0.293327\pi\)
−0.00521549 + 0.999986i \(0.501660\pi\)
\(720\) −1.76204 2.63707i −0.0656672 0.0982780i
\(721\) −43.6526 10.9260i −1.62571 0.406906i
\(722\) 6.72327 2.78487i 0.250214 0.103642i
\(723\) 16.0196 + 2.10902i 0.595775 + 0.0784353i
\(724\) −0.0564989 0.166440i −0.00209976 0.00618570i
\(725\) 17.7296 35.9520i 0.658460 1.33522i
\(726\) −3.24091 + 9.54742i −0.120281 + 0.354338i
\(727\) 6.92018 + 6.92018i 0.256655 + 0.256655i 0.823692 0.567037i \(-0.191910\pi\)
−0.567037 + 0.823692i \(0.691910\pi\)
\(728\) 0.979416 + 0.112493i 0.0362996 + 0.00416925i
\(729\) 0.923880 + 0.382683i 0.0342178 + 0.0141735i
\(730\) 27.9658 + 16.1461i 1.03506 + 0.597592i
\(731\) 1.26220 + 1.75162i 0.0466841 + 0.0647861i
\(732\) −4.60683 7.97926i −0.170273 0.294922i
\(733\) −37.7225 + 28.9455i −1.39331 + 1.06913i −0.405397 + 0.914141i \(0.632867\pi\)
−0.987917 + 0.154987i \(0.950467\pi\)
\(734\) 5.84103 8.74172i 0.215596 0.322663i
\(735\) −21.9032 + 3.62440i −0.807913 + 0.133688i
\(736\) −6.23792 + 1.24080i −0.229933 + 0.0457364i
\(737\) −0.144003 2.19706i −0.00530442 0.0809298i
\(738\) −5.57594 + 1.89278i −0.205253 + 0.0696741i
\(739\) 30.2096 + 23.1807i 1.11128 + 0.852714i 0.990162 0.139924i \(-0.0446858\pi\)
0.121117 + 0.992638i \(0.461352\pi\)
\(740\) 0.866606 6.58253i 0.0318571 0.241978i
\(741\) 1.25128 + 0.248894i 0.0459668 + 0.00914336i
\(742\) −11.1694 6.20459i −0.410042 0.227778i
\(743\) −1.42664 7.17223i −0.0523385 0.263124i 0.945752 0.324889i \(-0.105327\pi\)
−0.998091 + 0.0617654i \(0.980327\pi\)
\(744\) −2.43783 9.09812i −0.0893753 0.333553i
\(745\) 0.912002 13.9145i 0.0334132 0.509786i
\(746\) 1.15317 + 8.75916i 0.0422204 + 0.320696i
\(747\) 8.21674 14.2318i 0.300635 0.520715i
\(748\) −3.48794 1.85254i −0.127532 0.0677354i
\(749\) 0.114844 2.34639i 0.00419631 0.0857354i
\(750\) −0.0715297 + 0.172688i −0.00261190 + 0.00630567i
\(751\) −7.53169 + 3.71422i −0.274835 + 0.135534i −0.574484 0.818516i \(-0.694797\pi\)
0.299649 + 0.954050i \(0.403131\pi\)
\(752\) −5.73814 1.53753i −0.209249 0.0560680i
\(753\) 8.85248 + 10.0943i 0.322602 + 0.367858i
\(754\) −2.94623 + 0.193106i −0.107295 + 0.00703251i
\(755\) 7.12971 35.8435i 0.259477 1.30448i
\(756\) 0.473162 2.60310i 0.0172087 0.0946738i
\(757\) −4.35267 10.5083i −0.158201 0.381930i 0.824828 0.565384i \(-0.191272\pi\)
−0.983028 + 0.183454i \(0.941272\pi\)
\(758\) 6.22982 + 5.46340i 0.226277 + 0.198440i
\(759\) 5.46388 + 2.69449i 0.198326 + 0.0978037i
\(760\) −8.16426 + 7.15986i −0.296149 + 0.259715i
\(761\) 41.1115 11.0158i 1.49029 0.399322i 0.580455 0.814292i \(-0.302875\pi\)
0.909835 + 0.414970i \(0.136208\pi\)
\(762\) −16.1711 10.8052i −0.585819 0.391431i
\(763\) −2.09810 3.03029i −0.0759565 0.109704i
\(764\) 8.28145i 0.299612i
\(765\) 12.7430 + 2.93583i 0.460722 + 0.106145i
\(766\) 11.8593 6.84699i 0.428495 0.247392i
\(767\) 1.45693 0.191809i 0.0526067 0.00692581i
\(768\) −0.442289 0.896873i −0.0159597 0.0323631i
\(769\) 29.5929 29.5929i 1.06715 1.06715i 0.0695692 0.997577i \(-0.477838\pi\)
0.997577 0.0695692i \(-0.0221625\pi\)
\(770\) 7.95046 1.18081i 0.286515 0.0425536i
\(771\) 23.6444 15.7987i 0.851534 0.568977i
\(772\) −6.48386 + 7.39342i −0.233359 + 0.266095i
\(773\) −1.95642 + 2.54965i −0.0703674 + 0.0917046i −0.827211 0.561892i \(-0.810074\pi\)
0.756844 + 0.653596i \(0.226740\pi\)
\(774\) 0.318770 0.415429i 0.0114579 0.0149323i
\(775\) −31.4181 + 35.8255i −1.12857 + 1.28689i
\(776\) −8.49946 + 5.67916i −0.305113 + 0.203870i
\(777\) 4.33766 3.44389i 0.155613 0.123549i
\(778\) −13.1913 + 13.1913i −0.472932 + 0.472932i
\(779\) 8.91706 + 18.0820i 0.319487 + 0.647855i
\(780\) 1.17168 0.154254i 0.0419528 0.00552319i
\(781\) −6.34569 + 3.66368i −0.227067 + 0.131097i
\(782\) 15.2183 21.3559i 0.544206 0.763684i
\(783\) 7.92380i 0.283173i
\(784\) −6.99617 + 0.231573i −0.249863 + 0.00827045i
\(785\) 29.2951 + 19.5744i 1.04559 + 0.698639i
\(786\) −3.72571 + 0.998300i −0.132892 + 0.0356082i
\(787\) 11.5150 10.0984i 0.410465 0.359968i −0.429072 0.903270i \(-0.641160\pi\)
0.839537 + 0.543302i \(0.182826\pi\)
\(788\) 15.1925 + 7.49209i 0.541209 + 0.266895i
\(789\) −7.92497 6.95001i −0.282136 0.247427i
\(790\) −0.197447 0.476678i −0.00702484 0.0169595i
\(791\) 25.6605 + 21.7633i 0.912384 + 0.773815i
\(792\) −0.186870 + 0.939461i −0.00664015 + 0.0333823i
\(793\) 3.42582 0.224540i 0.121655 0.00797366i
\(794\) −13.7032 15.6255i −0.486308 0.554527i
\(795\) −14.7945 3.96418i −0.524708 0.140595i
\(796\) −5.15964 + 2.54445i −0.182878 + 0.0901857i
\(797\) 2.55868 6.17719i 0.0906330 0.218807i −0.872062 0.489395i \(-0.837218\pi\)
0.962695 + 0.270587i \(0.0872178\pi\)
\(798\) −9.04784 0.442846i −0.320290 0.0156766i
\(799\) 21.5709 11.6031i 0.763123 0.410489i
\(800\) −2.52947 + 4.38117i −0.0894302 + 0.154898i
\(801\) 0.272706 + 2.07141i 0.00963560 + 0.0731896i
\(802\) 2.32004 35.3969i 0.0819234 1.24991i
\(803\) −2.52419 9.42040i −0.0890767 0.332439i
\(804\) 0.448440 + 2.25446i 0.0158152 + 0.0795086i
\(805\) 0.882895 + 53.3619i 0.0311180 + 1.88076i
\(806\) 3.44228 + 0.684711i 0.121249 + 0.0241179i
\(807\) −1.35944 + 10.3260i −0.0478545 + 0.363491i
\(808\) 1.78679 + 1.37106i 0.0628592 + 0.0482336i
\(809\) −46.0767 + 15.6409i −1.61997 + 0.549906i −0.976491 0.215556i \(-0.930844\pi\)
−0.643480 + 0.765463i \(0.722510\pi\)
\(810\) −0.207431 3.16479i −0.00728840 0.111199i
\(811\) 42.9271 8.53874i 1.50738 0.299836i 0.628848 0.777528i \(-0.283527\pi\)
0.878527 + 0.477692i \(0.158527\pi\)
\(812\) 20.4911 4.42954i 0.719096 0.155447i
\(813\) −13.7929 + 20.6426i −0.483739 + 0.723966i
\(814\) −1.59081 + 1.22068i −0.0557580 + 0.0427846i
\(815\) −1.55046 2.68547i −0.0543101 0.0940678i
\(816\) 3.86266 + 1.44218i 0.135220 + 0.0504865i
\(817\) −1.55266 0.896428i −0.0543207 0.0313621i
\(818\) 0.735999 + 0.304861i 0.0257336 + 0.0106592i
\(819\) 0.791953 + 0.587129i 0.0276731 + 0.0205160i
\(820\) 13.2057 + 13.2057i 0.461163 + 0.461163i
\(821\) 7.50012 22.0946i 0.261756 0.771108i −0.734006 0.679143i \(-0.762352\pi\)
0.995762 0.0919656i \(-0.0293150\pi\)
\(822\) −6.29029 + 12.7554i −0.219399 + 0.444897i
\(823\) 4.56631 + 13.4519i 0.159172 + 0.468904i 0.997033 0.0769792i \(-0.0245275\pi\)
−0.837861 + 0.545883i \(0.816194\pi\)
\(824\) −16.8626 2.22000i −0.587437 0.0773375i
\(825\) 4.47692 1.85440i 0.155866 0.0645620i
\(826\) −10.0325 + 2.86691i −0.349076 + 0.0997526i
\(827\) −16.3202 24.4249i −0.567509 0.849338i 0.431087 0.902311i \(-0.358130\pi\)
−0.998596 + 0.0529728i \(0.983130\pi\)
\(828\) −6.02259 2.04439i −0.209300 0.0710476i
\(829\) −2.16705 + 8.08756i −0.0752649 + 0.280893i −0.993293 0.115622i \(-0.963114\pi\)
0.918028 + 0.396515i \(0.129780\pi\)
\(830\) −52.0085 3.40882i −1.80524 0.118322i
\(831\) −10.9695 14.2958i −0.380529 0.495914i
\(832\) 0.372618 0.0129182
\(833\) 20.3470 20.4695i 0.704982 0.709225i
\(834\) −9.32631 −0.322944
\(835\) −45.2611 58.9854i −1.56632 2.04127i
\(836\) 3.27257 + 0.214496i 0.113184 + 0.00741849i
\(837\) 2.43783 9.09812i 0.0842639 0.314477i
\(838\) −34.2568 11.6286i −1.18338 0.401703i
\(839\) −0.255361 0.382174i −0.00881603 0.0131941i 0.827035 0.562150i \(-0.190026\pi\)
−0.835851 + 0.548956i \(0.815026\pi\)
\(840\) −8.06826 + 2.30560i −0.278381 + 0.0795507i
\(841\) −31.2147 + 12.9296i −1.07637 + 0.445847i
\(842\) 22.0852 + 2.90758i 0.761108 + 0.100202i
\(843\) 3.06463 + 9.02811i 0.105551 + 0.310945i
\(844\) −11.9023 + 24.1355i −0.409695 + 0.830779i
\(845\) 13.1116 38.6255i 0.451052 1.32876i
\(846\) −4.20061 4.20061i −0.144420 0.144420i
\(847\) 21.4291 + 15.8868i 0.736311 + 0.545879i
\(848\) −4.46166 1.84808i −0.153214 0.0634634i
\(849\) 16.3580 + 9.44427i 0.561404 + 0.324127i
\(850\) −4.79002 20.3011i −0.164296 0.696321i
\(851\) −6.65708 11.5304i −0.228202 0.395257i
\(852\) 6.06890 4.65683i 0.207917 0.159540i
\(853\) −25.7766 + 38.5774i −0.882574 + 1.32087i 0.0638572 + 0.997959i \(0.479660\pi\)
−0.946431 + 0.322906i \(0.895340\pi\)
\(854\) −23.8267 + 5.15060i −0.815333 + 0.176250i
\(855\) −10.6504 + 2.11849i −0.364235 + 0.0724509i
\(856\) −0.0580724 0.886014i −0.00198487 0.0302833i
\(857\) 13.1947 4.47900i 0.450723 0.153000i −0.0868423 0.996222i \(-0.527678\pi\)
0.537565 + 0.843222i \(0.319344\pi\)
\(858\) −0.283162 0.217278i −0.00966700 0.00741775i
\(859\) 5.73757 43.5812i 0.195763 1.48697i −0.558009 0.829835i \(-0.688435\pi\)
0.753773 0.657135i \(-0.228232\pi\)
\(860\) −1.62885 0.323998i −0.0555432 0.0110482i
\(861\) 0.257732 + 15.5772i 0.00878348 + 0.530870i
\(862\) −3.79418 19.0746i −0.129230 0.649684i
\(863\) −3.16442 11.8098i −0.107718 0.402009i 0.890921 0.454158i \(-0.150060\pi\)
−0.998639 + 0.0521486i \(0.983393\pi\)
\(864\) 0.0654031 0.997859i 0.00222506 0.0339478i
\(865\) −6.93665 52.6891i −0.235853 1.79148i
\(866\) −9.04767 + 15.6710i −0.307452 + 0.532523i
\(867\) −15.6714 + 6.58836i −0.532229 + 0.223752i
\(868\) −24.8907 1.21828i −0.844846 0.0413510i
\(869\) −0.0596319 + 0.143964i −0.00202287 + 0.00488365i
\(870\) 22.5393 11.1151i 0.764153 0.376839i
\(871\) −0.827325 0.221681i −0.0280328 0.00751137i
\(872\) −0.918520 1.04737i −0.0311050 0.0354685i
\(873\) −10.2003 + 0.668565i −0.345229 + 0.0226275i
\(874\) −4.24831 + 21.3577i −0.143701 + 0.722436i
\(875\) 0.377153 + 0.319873i 0.0127501 + 0.0108137i
\(876\) 3.89637 + 9.40667i 0.131646 + 0.317822i
\(877\) 42.2990 + 37.0952i 1.42834 + 1.25262i 0.920262 + 0.391302i \(0.127975\pi\)
0.508073 + 0.861314i \(0.330358\pi\)
\(878\) −32.1848 15.8718i −1.08618 0.535646i
\(879\) 20.4324 17.9188i 0.689169 0.604385i
\(880\) 2.93444 0.786280i 0.0989198 0.0265055i
\(881\) 42.6882 + 28.5234i 1.43820 + 0.960977i 0.998009 + 0.0630740i \(0.0200904\pi\)
0.440194 + 0.897903i \(0.354910\pi\)
\(882\) −6.17465 3.29754i −0.207911 0.111034i
\(883\) 22.1520i 0.745473i −0.927937 0.372737i \(-0.878419\pi\)
0.927937 0.372737i \(-0.121581\pi\)
\(884\) −1.11855 + 1.05319i −0.0376209 + 0.0354225i
\(885\) −10.8321 + 6.25392i −0.364118 + 0.210223i
\(886\) 36.5712 4.81469i 1.22863 0.161753i
\(887\) 8.48732 + 17.2106i 0.284976 + 0.577875i 0.991544 0.129771i \(-0.0414241\pi\)
−0.706568 + 0.707645i \(0.749757\pi\)
\(888\) 1.48024 1.48024i 0.0496737 0.0496737i
\(889\) −40.2997 + 31.9960i −1.35161 + 1.07311i
\(890\) 5.50960 3.68139i 0.184682 0.123401i
\(891\) −0.631565 + 0.720162i −0.0211582 + 0.0241263i
\(892\) 12.8120 16.6970i 0.428979 0.559056i
\(893\) −12.3820 + 16.1365i −0.414347 + 0.539988i
\(894\) 2.89891 3.30557i 0.0969540 0.110555i
\(895\) 2.10930 1.40939i 0.0705061 0.0471106i
\(896\) −2.61704 + 0.388687i −0.0874293 + 0.0129851i
\(897\) 1.67577 1.67577i 0.0559523 0.0559523i
\(898\) −17.0508 34.5756i −0.568993 1.15380i
\(899\) 73.9963 9.74179i 2.46791 0.324907i
\(900\) −4.38117 + 2.52947i −0.146039 + 0.0843156i
\(901\) 18.6168 7.06297i 0.620216 0.235302i
\(902\) 5.64034i 0.187803i
\(903\) −0.788645 1.13904i −0.0262445 0.0379048i
\(904\) 10.5740 + 7.06535i 0.351687 + 0.234990i
\(905\) −0.538468 + 0.144282i −0.0178993 + 0.00479610i
\(906\) 8.66334 7.59755i 0.287820 0.252412i
\(907\) −25.3472 12.4999i −0.841641 0.415051i −0.0302407 0.999543i \(-0.509627\pi\)
−0.811400 + 0.584491i \(0.801294\pi\)
\(908\) 7.54115 + 6.61341i 0.250262 + 0.219474i
\(909\) 0.861882 + 2.08077i 0.0285868 + 0.0690147i
\(910\) 0.559177 3.07631i 0.0185365 0.101979i
\(911\) 5.65150 28.4120i 0.187243 0.941332i −0.766851 0.641825i \(-0.778178\pi\)
0.954094 0.299507i \(-0.0968223\pi\)
\(912\) −3.41652 + 0.223931i −0.113132 + 0.00741509i
\(913\) 10.3788 + 11.8348i 0.343489 + 0.391674i
\(914\) 26.7367 + 7.16407i 0.884370 + 0.236966i
\(915\) −26.2083 + 12.9245i −0.866420 + 0.427271i
\(916\) 5.68757 13.7310i 0.187922 0.453685i
\(917\) −0.498887 + 10.1928i −0.0164747 + 0.336597i
\(918\) 2.62407 + 3.18030i 0.0866071 + 0.104965i
\(919\) −15.8808 + 27.5064i −0.523861 + 0.907353i 0.475754 + 0.879579i \(0.342175\pi\)
−0.999614 + 0.0277745i \(0.991158\pi\)
\(920\) 2.63293 + 19.9991i 0.0868051 + 0.659350i
\(921\) −1.55049 + 23.6558i −0.0510902 + 0.779486i
\(922\) −6.61997 24.7061i −0.218017 0.813651i
\(923\) 0.556087 + 2.79564i 0.0183038 + 0.0920195i
\(924\) 2.21541 + 1.23066i 0.0728816 + 0.0404856i
\(925\) −10.3868 2.06606i −0.341515 0.0679316i
\(926\) 2.59403 19.7036i 0.0852451 0.647501i
\(927\) −13.4934 10.3539i −0.443183 0.340066i
\(928\) 7.50328 2.54702i 0.246307 0.0836101i
\(929\) 2.00586 + 30.6035i 0.0658101 + 1.00407i 0.895276 + 0.445511i \(0.146978\pi\)
−0.829466 + 0.558557i \(0.811355\pi\)
\(930\) −29.2993 + 5.82800i −0.960763 + 0.191108i
\(931\) −8.43423 + 22.4339i −0.276421 + 0.735242i
\(932\) 14.8352 22.2024i 0.485942 0.727263i
\(933\) 10.2110 7.83515i 0.334292 0.256511i
\(934\) −20.0113 34.6605i −0.654788 1.13413i
\(935\) −6.58640 + 10.6543i −0.215398 + 0.348434i
\(936\) 0.322697 + 0.186309i 0.0105477 + 0.00608970i
\(937\) 0.897247 + 0.371652i 0.0293118 + 0.0121413i 0.397291 0.917693i \(-0.369950\pi\)
−0.367979 + 0.929834i \(0.619950\pi\)
\(938\) 6.04187 + 0.693950i 0.197274 + 0.0226583i
\(939\) 11.5262 + 11.5262i 0.376142 + 0.376142i
\(940\) −6.05624 + 17.8411i −0.197533 + 0.581913i
\(941\) 22.9738 46.5862i 0.748924 1.51867i −0.102815 0.994701i \(-0.532785\pi\)
0.851739 0.523967i \(-0.175549\pi\)
\(942\) 3.57085 + 10.5194i 0.116345 + 0.342740i
\(943\) 37.1308 + 4.88837i 1.20915 + 0.159187i
\(944\) −3.64353 + 1.50920i −0.118587 + 0.0491202i
\(945\) −8.14011 2.03742i −0.264798 0.0662774i
\(946\) 0.278660 + 0.417044i 0.00906001 + 0.0135593i
\(947\) −16.8102 5.70629i −0.546258 0.185429i 0.0346492 0.999400i \(-0.488969\pi\)
−0.580907 + 0.813970i \(0.697302\pi\)
\(948\) 0.0421047 0.157137i 0.00136750 0.00510357i
\(949\) −3.78576 0.248132i −0.122891 0.00805471i
\(950\) 10.5444 + 13.7417i 0.342105 + 0.445840i
\(951\) −0.327198 −0.0106101
\(952\) 6.75741 8.56373i 0.219009 0.277552i
\(953\) 48.1726 1.56047 0.780233 0.625489i \(-0.215101\pi\)
0.780233 + 0.625489i \(0.215101\pi\)
\(954\) −2.93987 3.83132i −0.0951819 0.124043i
\(955\) −26.2091 1.71783i −0.848105 0.0555878i
\(956\) 4.30248 16.0571i 0.139152 0.519323i
\(957\) −7.18714 2.43971i −0.232327 0.0788645i
\(958\) 18.9870 + 28.4161i 0.613443 + 0.918082i
\(959\) 27.0437 + 26.1634i 0.873287 + 0.844859i
\(960\) −2.93016 + 1.21371i −0.0945705 + 0.0391724i
\(961\) −57.2250 7.53382i −1.84597 0.243026i
\(962\) 0.250733 + 0.738635i 0.00808395 + 0.0238145i
\(963\) 0.392715 0.796347i 0.0126551 0.0256619i
\(964\) 5.19376 15.3003i 0.167280 0.492791i
\(965\) 22.0537 + 22.0537i 0.709933 + 0.709933i
\(966\) −10.0216 + 13.5176i −0.322438 + 0.434923i
\(967\) 50.0400 + 20.7272i 1.60918 + 0.666543i 0.992675 0.120811i \(-0.0385496\pi\)
0.616501 + 0.787354i \(0.288550\pi\)
\(968\) 8.73169 + 5.04125i 0.280647 + 0.162032i
\(969\) 9.62301 10.3288i 0.309136 0.331810i
\(970\) 16.2103 + 28.0771i 0.520481 + 0.901500i
\(971\) 7.30364 5.60428i 0.234385 0.179850i −0.484891 0.874575i \(-0.661141\pi\)
0.719275 + 0.694725i \(0.244474\pi\)
\(972\) 0.555570 0.831470i 0.0178199 0.0266694i
\(973\) −7.54392 + 23.4936i −0.241847 + 0.753170i
\(974\) 25.1522 5.00308i 0.805928 0.160309i
\(975\) −0.123288 1.88101i −0.00394838 0.0602407i
\(976\) −8.72469 + 2.96163i −0.279270 + 0.0947996i
\(977\) −11.5803 8.88586i −0.370486 0.284284i 0.406691 0.913566i \(-0.366682\pi\)
−0.777177 + 0.629282i \(0.783349\pi\)
\(978\) 0.127618 0.969353i 0.00408077 0.0309965i
\(979\) −1.96280 0.390425i −0.0627314 0.0124780i
\(980\) −0.718346 + 22.1895i −0.0229467 + 0.708816i
\(981\) −0.271776 1.36631i −0.00867714 0.0436229i
\(982\) 9.94714 + 37.1232i 0.317426 + 1.18465i
\(983\) −0.414891 + 6.33001i −0.0132330 + 0.201896i 0.986123 + 0.166016i \(0.0530902\pi\)
−0.999356 + 0.0358805i \(0.988576\pi\)
\(984\) 0.768596 + 5.83807i 0.0245019 + 0.186111i
\(985\) 26.8623 46.5269i 0.855904 1.48247i
\(986\) −15.3248 + 28.8535i −0.488041 + 0.918881i
\(987\) −13.9794 + 7.18381i −0.444971 + 0.228663i
\(988\) 0.488224 1.17868i 0.0155325 0.0374987i
\(989\) −2.98694 + 1.47300i −0.0949792 + 0.0468385i
\(990\) 2.93444 + 0.786280i 0.0932625 + 0.0249896i
\(991\) 7.52420 + 8.57970i 0.239014 + 0.272543i 0.858894 0.512153i \(-0.171152\pi\)
−0.619880 + 0.784697i \(0.712819\pi\)
\(992\) −9.39890 + 0.616036i −0.298415 + 0.0195592i
\(993\) 0.264403 1.32924i 0.00839058 0.0421823i
\(994\) −6.82182 19.0548i −0.216375 0.604382i
\(995\) 6.98239 + 16.8570i 0.221357 + 0.534402i
\(996\) −12.3553 10.8353i −0.391494 0.343331i
\(997\) 28.2090 + 13.9111i 0.893388 + 0.440570i 0.830222 0.557433i \(-0.188214\pi\)
0.0631661 + 0.998003i \(0.479880\pi\)
\(998\) −5.11651 + 4.48706i −0.161960 + 0.142035i
\(999\) 2.02205 0.541807i 0.0639748 0.0171420i
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 714.2.bl.a.61.6 192
7.3 odd 6 inner 714.2.bl.a.367.6 yes 192
17.12 odd 16 inner 714.2.bl.a.607.6 yes 192
119.80 even 48 inner 714.2.bl.a.199.6 yes 192
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
714.2.bl.a.61.6 192 1.1 even 1 trivial
714.2.bl.a.199.6 yes 192 119.80 even 48 inner
714.2.bl.a.367.6 yes 192 7.3 odd 6 inner
714.2.bl.a.607.6 yes 192 17.12 odd 16 inner