Properties

Label 588.2.x.b.55.5
Level $588$
Weight $2$
Character 588.55
Analytic conductor $4.695$
Analytic rank $0$
Dimension $168$
CM no
Inner twists $2$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [588,2,Mod(55,588)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(588, base_ring=CyclotomicField(14))
 
chi = DirichletCharacter(H, H._module([7, 0, 9]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("588.55");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 588 = 2^{2} \cdot 3 \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 588.x (of order \(14\), degree \(6\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(4.69520363885\)
Analytic rank: \(0\)
Dimension: \(168\)
Relative dimension: \(28\) over \(\Q(\zeta_{14})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{14}]$

Embedding invariants

Embedding label 55.5
Character \(\chi\) \(=\) 588.55
Dual form 588.2.x.b.139.5

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-1.25082 + 0.659893i) q^{2} +(0.900969 + 0.433884i) q^{3} +(1.12908 - 1.65081i) q^{4} +(-0.617993 + 1.28328i) q^{5} +(-1.41326 + 0.0518343i) q^{6} +(-2.62009 + 0.367586i) q^{7} +(-0.322916 + 2.80993i) q^{8} +(0.623490 + 0.781831i) q^{9} +O(q^{10})\) \(q+(-1.25082 + 0.659893i) q^{2} +(0.900969 + 0.433884i) q^{3} +(1.12908 - 1.65081i) q^{4} +(-0.617993 + 1.28328i) q^{5} +(-1.41326 + 0.0518343i) q^{6} +(-2.62009 + 0.367586i) q^{7} +(-0.322916 + 2.80993i) q^{8} +(0.623490 + 0.781831i) q^{9} +(-0.0738292 - 2.01295i) q^{10} +(3.17064 + 2.52850i) q^{11} +(1.73353 - 0.997438i) q^{12} +(0.222642 + 0.177551i) q^{13} +(3.03469 - 2.18876i) q^{14} +(-1.11359 + 0.888054i) q^{15} +(-1.45035 - 3.72780i) q^{16} +(0.185554 + 0.0423514i) q^{17} +(-1.29580 - 0.566491i) q^{18} -7.80617 q^{19} +(1.42068 + 2.46911i) q^{20} +(-2.52011 - 0.805632i) q^{21} +(-5.63443 - 1.07041i) q^{22} +(-2.63773 + 0.602045i) q^{23} +(-1.51012 + 2.39155i) q^{24} +(1.85257 + 2.32305i) q^{25} +(-0.395649 - 0.0751638i) q^{26} +(0.222521 + 0.974928i) q^{27} +(-2.35148 + 4.74031i) q^{28} +(-0.353311 + 1.54796i) q^{29} +(0.806869 - 1.84564i) q^{30} -3.75188 q^{31} +(4.27407 + 3.70572i) q^{32} +(1.75957 + 3.65379i) q^{33} +(-0.260041 + 0.0694718i) q^{34} +(1.14748 - 3.58947i) q^{35} +(1.99463 - 0.146511i) q^{36} +(-1.64682 + 7.21521i) q^{37} +(9.76408 - 5.15124i) q^{38} +(0.123557 + 0.256569i) q^{39} +(-3.40636 - 2.15091i) q^{40} +(-0.965003 + 2.00385i) q^{41} +(3.68383 - 0.655306i) q^{42} +(-2.38434 - 4.95113i) q^{43} +(7.75398 - 2.37924i) q^{44} +(-1.38862 + 0.316943i) q^{45} +(2.90203 - 2.49367i) q^{46} +(-0.847501 + 1.06273i) q^{47} +(0.310715 - 3.98791i) q^{48} +(6.72976 - 1.92622i) q^{49} +(-3.85018 - 1.68321i) q^{50} +(0.148803 + 0.118666i) q^{51} +(0.544484 - 0.167070i) q^{52} +(2.76318 + 12.1063i) q^{53} +(-0.921681 - 1.07262i) q^{54} +(-5.20420 + 2.50621i) q^{55} +(-0.186821 - 7.48098i) q^{56} +(-7.03311 - 3.38697i) q^{57} +(-0.579559 - 2.16936i) q^{58} +(-1.62587 + 0.782978i) q^{59} +(0.208680 + 2.84100i) q^{60} +(-6.72792 - 1.53560i) q^{61} +(4.69291 - 2.47584i) q^{62} +(-1.92099 - 1.81928i) q^{63} +(-7.79145 - 1.81475i) q^{64} +(-0.365438 + 0.175986i) q^{65} +(-4.61201 - 3.40909i) q^{66} +10.0388i q^{67} +(0.279420 - 0.258496i) q^{68} +(-2.63773 - 0.602045i) q^{69} +(0.933371 + 5.24698i) q^{70} +(-12.2478 + 2.79548i) q^{71} +(-2.39823 + 1.49950i) q^{72} +(9.58733 - 7.64564i) q^{73} +(-2.70139 - 10.1116i) q^{74} +(0.661174 + 2.89679i) q^{75} +(-8.81380 + 12.8865i) q^{76} +(-9.23680 - 5.45942i) q^{77} +(-0.323855 - 0.239386i) q^{78} -9.31782i q^{79} +(5.68010 + 0.442560i) q^{80} +(-0.222521 + 0.974928i) q^{81} +(-0.115285 - 3.14325i) q^{82} +(3.52380 + 4.41870i) q^{83} +(-4.17536 + 3.25060i) q^{84} +(-0.169020 + 0.211944i) q^{85} +(6.24959 + 4.61955i) q^{86} +(-0.989955 + 1.24136i) q^{87} +(-8.12877 + 8.09279i) q^{88} +(7.19839 - 5.74052i) q^{89} +(1.52776 - 1.31278i) q^{90} +(-0.648608 - 0.383360i) q^{91} +(-1.98435 + 5.03415i) q^{92} +(-3.38032 - 1.62788i) q^{93} +(0.358778 - 1.88854i) q^{94} +(4.82416 - 10.0175i) q^{95} +(2.24295 + 5.19319i) q^{96} -6.37792i q^{97} +(-7.14660 + 6.85027i) q^{98} +4.05540i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 168 q + 28 q^{3} - 2 q^{7} + 6 q^{8} - 28 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 168 q + 28 q^{3} - 2 q^{7} + 6 q^{8} - 28 q^{9} - 20 q^{10} + 14 q^{14} - 20 q^{16} - 12 q^{19} + 25 q^{20} + 2 q^{21} - 6 q^{22} - 27 q^{24} + 32 q^{25} - 6 q^{26} + 28 q^{27} + 6 q^{28} - 8 q^{30} + 4 q^{31} - 45 q^{32} - 44 q^{34} + 12 q^{35} - 10 q^{37} - 35 q^{38} - 14 q^{39} + 40 q^{40} + 7 q^{42} + 20 q^{44} + 28 q^{46} + 8 q^{47} - 8 q^{48} - 8 q^{49} + 114 q^{50} - 20 q^{52} - 8 q^{53} + 23 q^{56} + 12 q^{57} - 6 q^{58} - 20 q^{59} + 10 q^{60} - 14 q^{61} + 16 q^{62} + 12 q^{63} - 42 q^{64} - 8 q^{65} + 6 q^{66} + 16 q^{68} + 19 q^{70} - 28 q^{71} - 15 q^{72} + 22 q^{74} - 18 q^{75} - 49 q^{76} + 8 q^{77} + 6 q^{78} - 26 q^{80} - 28 q^{81} - 12 q^{82} - 10 q^{83} - 27 q^{84} - 24 q^{85} - 34 q^{86} + 94 q^{88} - 20 q^{90} + 16 q^{91} + 7 q^{92} - 4 q^{93} + 11 q^{94} + 10 q^{96} - 150 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/588\mathbb{Z}\right)^\times\).

\(n\) \(197\) \(295\) \(493\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{9}{14}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.25082 + 0.659893i −0.884461 + 0.466615i
\(3\) 0.900969 + 0.433884i 0.520175 + 0.250503i
\(4\) 1.12908 1.65081i 0.564541 0.825405i
\(5\) −0.617993 + 1.28328i −0.276375 + 0.573898i −0.992240 0.124341i \(-0.960318\pi\)
0.715865 + 0.698239i \(0.246033\pi\)
\(6\) −1.41326 + 0.0518343i −0.576962 + 0.0211613i
\(7\) −2.62009 + 0.367586i −0.990302 + 0.138934i
\(8\) −0.322916 + 2.80993i −0.114168 + 0.993461i
\(9\) 0.623490 + 0.781831i 0.207830 + 0.260610i
\(10\) −0.0738292 2.01295i −0.0233468 0.636551i
\(11\) 3.17064 + 2.52850i 0.955983 + 0.762371i 0.971385 0.237510i \(-0.0763313\pi\)
−0.0154017 + 0.999881i \(0.504903\pi\)
\(12\) 1.73353 0.997438i 0.500426 0.287936i
\(13\) 0.222642 + 0.177551i 0.0617498 + 0.0492438i 0.653878 0.756600i \(-0.273141\pi\)
−0.592129 + 0.805844i \(0.701712\pi\)
\(14\) 3.03469 2.18876i 0.811054 0.584971i
\(15\) −1.11359 + 0.888054i −0.287526 + 0.229295i
\(16\) −1.45035 3.72780i −0.362587 0.931950i
\(17\) 0.185554 + 0.0423514i 0.0450034 + 0.0102717i 0.244963 0.969532i \(-0.421224\pi\)
−0.199960 + 0.979804i \(0.564081\pi\)
\(18\) −1.29580 0.566491i −0.305422 0.133523i
\(19\) −7.80617 −1.79086 −0.895429 0.445205i \(-0.853131\pi\)
−0.895429 + 0.445205i \(0.853131\pi\)
\(20\) 1.42068 + 2.46911i 0.317674 + 0.552110i
\(21\) −2.52011 0.805632i −0.549933 0.175803i
\(22\) −5.63443 1.07041i −1.20126 0.228211i
\(23\) −2.63773 + 0.602045i −0.550005 + 0.125535i −0.488487 0.872571i \(-0.662451\pi\)
−0.0615175 + 0.998106i \(0.519594\pi\)
\(24\) −1.51012 + 2.39155i −0.308252 + 0.488174i
\(25\) 1.85257 + 2.32305i 0.370513 + 0.464609i
\(26\) −0.395649 0.0751638i −0.0775931 0.0147408i
\(27\) 0.222521 + 0.974928i 0.0428242 + 0.187625i
\(28\) −2.35148 + 4.74031i −0.444389 + 0.895834i
\(29\) −0.353311 + 1.54796i −0.0656082 + 0.287448i −0.997080 0.0763656i \(-0.975668\pi\)
0.931472 + 0.363814i \(0.118526\pi\)
\(30\) 0.806869 1.84564i 0.147313 0.336966i
\(31\) −3.75188 −0.673857 −0.336929 0.941530i \(-0.609388\pi\)
−0.336929 + 0.941530i \(0.609388\pi\)
\(32\) 4.27407 + 3.70572i 0.755555 + 0.655085i
\(33\) 1.75957 + 3.65379i 0.306302 + 0.636043i
\(34\) −0.260041 + 0.0694718i −0.0445967 + 0.0119143i
\(35\) 1.14748 3.58947i 0.193960 0.606730i
\(36\) 1.99463 0.146511i 0.332438 0.0244185i
\(37\) −1.64682 + 7.21521i −0.270736 + 1.18617i 0.638410 + 0.769696i \(0.279592\pi\)
−0.909146 + 0.416477i \(0.863265\pi\)
\(38\) 9.76408 5.15124i 1.58394 0.835641i
\(39\) 0.123557 + 0.256569i 0.0197849 + 0.0410839i
\(40\) −3.40636 2.15091i −0.538593 0.340089i
\(41\) −0.965003 + 2.00385i −0.150708 + 0.312949i −0.962631 0.270816i \(-0.912707\pi\)
0.811923 + 0.583765i \(0.198421\pi\)
\(42\) 3.68383 0.655306i 0.568427 0.101116i
\(43\) −2.38434 4.95113i −0.363608 0.755041i 0.636257 0.771478i \(-0.280482\pi\)
−0.999865 + 0.0164370i \(0.994768\pi\)
\(44\) 7.75398 2.37924i 1.16896 0.358684i
\(45\) −1.38862 + 0.316943i −0.207003 + 0.0472471i
\(46\) 2.90203 2.49367i 0.427881 0.367671i
\(47\) −0.847501 + 1.06273i −0.123621 + 0.155015i −0.839790 0.542911i \(-0.817322\pi\)
0.716170 + 0.697926i \(0.245894\pi\)
\(48\) 0.310715 3.98791i 0.0448478 0.575606i
\(49\) 6.72976 1.92622i 0.961395 0.275174i
\(50\) −3.85018 1.68321i −0.544498 0.238041i
\(51\) 0.148803 + 0.118666i 0.0208365 + 0.0166166i
\(52\) 0.544484 0.167070i 0.0755064 0.0231684i
\(53\) 2.76318 + 12.1063i 0.379552 + 1.66293i 0.698847 + 0.715271i \(0.253697\pi\)
−0.319295 + 0.947656i \(0.603446\pi\)
\(54\) −0.921681 1.07262i −0.125425 0.145964i
\(55\) −5.20420 + 2.50621i −0.701734 + 0.337937i
\(56\) −0.186821 7.48098i −0.0249651 0.999688i
\(57\) −7.03311 3.38697i −0.931558 0.448615i
\(58\) −0.579559 2.16936i −0.0760998 0.284850i
\(59\) −1.62587 + 0.782978i −0.211670 + 0.101935i −0.536715 0.843764i \(-0.680335\pi\)
0.325045 + 0.945699i \(0.394621\pi\)
\(60\) 0.208680 + 2.84100i 0.0269405 + 0.366772i
\(61\) −6.72792 1.53560i −0.861422 0.196614i −0.231083 0.972934i \(-0.574227\pi\)
−0.630339 + 0.776320i \(0.717084\pi\)
\(62\) 4.69291 2.47584i 0.596000 0.314432i
\(63\) −1.92099 1.81928i −0.242022 0.229208i
\(64\) −7.79145 1.81475i −0.973931 0.226843i
\(65\) −0.365438 + 0.175986i −0.0453270 + 0.0218283i
\(66\) −4.61201 3.40909i −0.567699 0.419630i
\(67\) 10.0388i 1.22644i 0.789913 + 0.613219i \(0.210126\pi\)
−0.789913 + 0.613219i \(0.789874\pi\)
\(68\) 0.279420 0.258496i 0.0338846 0.0313472i
\(69\) −2.63773 0.602045i −0.317545 0.0724777i
\(70\) 0.933371 + 5.24698i 0.111559 + 0.627134i
\(71\) −12.2478 + 2.79548i −1.45355 + 0.331763i −0.875094 0.483953i \(-0.839200\pi\)
−0.578453 + 0.815716i \(0.696343\pi\)
\(72\) −2.39823 + 1.49950i −0.282634 + 0.176718i
\(73\) 9.58733 7.64564i 1.12211 0.894854i 0.126834 0.991924i \(-0.459518\pi\)
0.995278 + 0.0970695i \(0.0309469\pi\)
\(74\) −2.70139 10.1116i −0.314031 1.17545i
\(75\) 0.661174 + 2.89679i 0.0763458 + 0.334493i
\(76\) −8.81380 + 12.8865i −1.01101 + 1.47818i
\(77\) −9.23680 5.45942i −1.05263 0.622159i
\(78\) −0.323855 0.239386i −0.0366694 0.0271051i
\(79\) 9.31782i 1.04834i −0.851615 0.524169i \(-0.824376\pi\)
0.851615 0.524169i \(-0.175624\pi\)
\(80\) 5.68010 + 0.442560i 0.635055 + 0.0494797i
\(81\) −0.222521 + 0.974928i −0.0247245 + 0.108325i
\(82\) −0.115285 3.14325i −0.0127311 0.347114i
\(83\) 3.52380 + 4.41870i 0.386787 + 0.485016i 0.936664 0.350230i \(-0.113897\pi\)
−0.549877 + 0.835246i \(0.685325\pi\)
\(84\) −4.17536 + 3.25060i −0.455569 + 0.354669i
\(85\) −0.169020 + 0.211944i −0.0183327 + 0.0229885i
\(86\) 6.24959 + 4.61955i 0.673910 + 0.498139i
\(87\) −0.989955 + 1.24136i −0.106134 + 0.133088i
\(88\) −8.12877 + 8.09279i −0.866529 + 0.862694i
\(89\) 7.19839 5.74052i 0.763027 0.608494i −0.162704 0.986675i \(-0.552022\pi\)
0.925732 + 0.378181i \(0.123450\pi\)
\(90\) 1.52776 1.31278i 0.161040 0.138379i
\(91\) −0.648608 0.383360i −0.0679925 0.0401870i
\(92\) −1.98435 + 5.03415i −0.206883 + 0.524846i
\(93\) −3.38032 1.62788i −0.350523 0.168803i
\(94\) 0.358778 1.88854i 0.0370051 0.194788i
\(95\) 4.82416 10.0175i 0.494948 1.02777i
\(96\) 2.24295 + 5.19319i 0.228920 + 0.530027i
\(97\) 6.37792i 0.647580i −0.946129 0.323790i \(-0.895043\pi\)
0.946129 0.323790i \(-0.104957\pi\)
\(98\) −7.14660 + 6.85027i −0.721915 + 0.691981i
\(99\) 4.05540i 0.407583i
\(100\) 5.92661 0.435327i 0.592661 0.0435327i
\(101\) 5.14768 10.6893i 0.512214 1.06362i −0.471163 0.882046i \(-0.656166\pi\)
0.983377 0.181577i \(-0.0581201\pi\)
\(102\) −0.264432 0.0502357i −0.0261826 0.00497407i
\(103\) 9.58063 + 4.61379i 0.944007 + 0.454610i 0.841581 0.540131i \(-0.181625\pi\)
0.102426 + 0.994741i \(0.467339\pi\)
\(104\) −0.570801 + 0.568275i −0.0559717 + 0.0557239i
\(105\) 2.59126 2.73612i 0.252881 0.267018i
\(106\) −11.4451 13.3193i −1.11165 1.29369i
\(107\) −1.92097 + 1.53192i −0.185707 + 0.148097i −0.711931 0.702250i \(-0.752179\pi\)
0.526223 + 0.850346i \(0.323608\pi\)
\(108\) 1.86067 + 0.733434i 0.179043 + 0.0705747i
\(109\) 6.27796 7.87231i 0.601319 0.754031i −0.384264 0.923223i \(-0.625545\pi\)
0.985583 + 0.169193i \(0.0541160\pi\)
\(110\) 4.85566 6.56902i 0.462969 0.626331i
\(111\) −4.61430 + 5.78615i −0.437970 + 0.549197i
\(112\) 5.17033 + 9.23405i 0.488550 + 0.872536i
\(113\) 12.1726 + 15.2640i 1.14511 + 1.43592i 0.882062 + 0.471133i \(0.156155\pi\)
0.263043 + 0.964784i \(0.415274\pi\)
\(114\) 11.0322 0.404628i 1.03326 0.0378968i
\(115\) 0.857510 3.75699i 0.0799632 0.350342i
\(116\) 2.15646 + 2.33102i 0.200223 + 0.216430i
\(117\) 0.284770i 0.0263270i
\(118\) 1.51698 2.05226i 0.139650 0.188926i
\(119\) −0.501736 0.0427577i −0.0459940 0.00391960i
\(120\) −2.13578 3.41587i −0.194969 0.311825i
\(121\) 1.21191 + 5.30971i 0.110173 + 0.482701i
\(122\) 9.42873 2.51895i 0.853637 0.228055i
\(123\) −1.73888 + 1.38671i −0.156789 + 0.125035i
\(124\) −4.23618 + 6.19364i −0.380420 + 0.556205i
\(125\) −11.0691 + 2.52644i −0.990048 + 0.225972i
\(126\) 3.60334 + 1.00794i 0.321011 + 0.0897946i
\(127\) −3.17459 0.724579i −0.281699 0.0642960i 0.0793368 0.996848i \(-0.474720\pi\)
−0.361036 + 0.932552i \(0.617577\pi\)
\(128\) 10.9432 2.87161i 0.967252 0.253817i
\(129\) 5.49534i 0.483838i
\(130\) 0.340964 0.461276i 0.0299045 0.0404566i
\(131\) 14.3308 6.90133i 1.25208 0.602972i 0.314014 0.949418i \(-0.398326\pi\)
0.938070 + 0.346446i \(0.112612\pi\)
\(132\) 8.01841 + 1.22071i 0.697913 + 0.106249i
\(133\) 20.4529 2.86943i 1.77349 0.248812i
\(134\) −6.62455 12.5567i −0.572274 1.08474i
\(135\) −1.38862 0.316943i −0.119513 0.0272781i
\(136\) −0.178923 + 0.507718i −0.0153425 + 0.0435364i
\(137\) −8.21140 + 3.95440i −0.701547 + 0.337847i −0.750423 0.660957i \(-0.770150\pi\)
0.0488759 + 0.998805i \(0.484436\pi\)
\(138\) 3.69660 0.987573i 0.314676 0.0840678i
\(139\) 16.0352 + 7.72215i 1.36009 + 0.654984i 0.964656 0.263511i \(-0.0848806\pi\)
0.395432 + 0.918495i \(0.370595\pi\)
\(140\) −4.62992 5.94708i −0.391300 0.502620i
\(141\) −1.22467 + 0.589772i −0.103136 + 0.0496678i
\(142\) 13.4750 11.5789i 1.13080 0.971677i
\(143\) 0.256979 + 1.12590i 0.0214897 + 0.0941525i
\(144\) 2.01024 3.45817i 0.167520 0.288181i
\(145\) −1.76811 1.41002i −0.146834 0.117096i
\(146\) −6.94668 + 15.8899i −0.574911 + 1.31506i
\(147\) 6.89906 + 1.18447i 0.569025 + 0.0976937i
\(148\) 10.0515 + 10.8652i 0.826232 + 0.893111i
\(149\) −3.78300 + 4.74373i −0.309915 + 0.388622i −0.912258 0.409616i \(-0.865663\pi\)
0.602343 + 0.798238i \(0.294234\pi\)
\(150\) −2.73858 3.18705i −0.223604 0.260221i
\(151\) 14.8253 3.38378i 1.20647 0.275368i 0.428422 0.903579i \(-0.359070\pi\)
0.778043 + 0.628211i \(0.216213\pi\)
\(152\) 2.52074 21.9348i 0.204459 1.77915i
\(153\) 0.0825792 + 0.171478i 0.00667613 + 0.0138631i
\(154\) 15.1562 + 0.733428i 1.22132 + 0.0591013i
\(155\) 2.31863 4.81469i 0.186237 0.386725i
\(156\) 0.563052 + 0.0857181i 0.0450802 + 0.00686294i
\(157\) −0.0189505 0.0393510i −0.00151241 0.00314056i 0.900211 0.435453i \(-0.143412\pi\)
−0.901724 + 0.432313i \(0.857698\pi\)
\(158\) 6.14877 + 11.6549i 0.489170 + 0.927213i
\(159\) −2.76318 + 12.1063i −0.219135 + 0.960091i
\(160\) −7.39680 + 3.19470i −0.584769 + 0.252563i
\(161\) 6.68979 2.54700i 0.527229 0.200732i
\(162\) −0.365015 1.36630i −0.0286783 0.107346i
\(163\) 2.84195 + 5.90136i 0.222598 + 0.462230i 0.982121 0.188251i \(-0.0602817\pi\)
−0.759523 + 0.650481i \(0.774567\pi\)
\(164\) 2.21841 + 3.85555i 0.173229 + 0.301068i
\(165\) −5.77622 −0.449678
\(166\) −7.32349 3.20165i −0.568413 0.248497i
\(167\) −2.48345 + 10.8807i −0.192175 + 0.841974i 0.783261 + 0.621693i \(0.213555\pi\)
−0.975436 + 0.220281i \(0.929302\pi\)
\(168\) 3.07756 6.82119i 0.237439 0.526266i
\(169\) −2.87473 12.5950i −0.221133 0.968846i
\(170\) 0.0715521 0.376638i 0.00548780 0.0288868i
\(171\) −4.86706 6.10311i −0.372194 0.466716i
\(172\) −10.8655 1.65414i −0.828486 0.126127i
\(173\) 10.4905 2.39439i 0.797577 0.182042i 0.195735 0.980657i \(-0.437291\pi\)
0.601842 + 0.798615i \(0.294434\pi\)
\(174\) 0.419084 2.20598i 0.0317707 0.167235i
\(175\) −5.70782 5.40562i −0.431470 0.408626i
\(176\) 4.82722 15.4867i 0.363865 1.16735i
\(177\) −1.80458 −0.135641
\(178\) −5.21573 + 11.9305i −0.390935 + 0.894229i
\(179\) 17.0032 + 3.88087i 1.27088 + 0.290070i 0.804201 0.594357i \(-0.202593\pi\)
0.466679 + 0.884427i \(0.345451\pi\)
\(180\) −1.04465 + 2.65020i −0.0778637 + 0.197534i
\(181\) −5.80075 + 4.62594i −0.431166 + 0.343843i −0.814901 0.579600i \(-0.803209\pi\)
0.383735 + 0.923443i \(0.374638\pi\)
\(182\) 1.06427 + 0.0515012i 0.0788886 + 0.00381752i
\(183\) −5.39538 4.30267i −0.398838 0.318062i
\(184\) −0.839940 7.60626i −0.0619212 0.560741i
\(185\) −8.24138 6.57228i −0.605918 0.483204i
\(186\) 5.30239 0.194476i 0.388790 0.0142597i
\(187\) 0.481238 + 0.603454i 0.0351916 + 0.0441289i
\(188\) 0.797471 + 2.59898i 0.0581616 + 0.189550i
\(189\) −0.941395 2.47261i −0.0684764 0.179856i
\(190\) 0.576323 + 15.7134i 0.0418108 + 1.13997i
\(191\) 2.72066 5.64952i 0.196860 0.408785i −0.779048 0.626964i \(-0.784297\pi\)
0.975909 + 0.218179i \(0.0700117\pi\)
\(192\) −6.23247 5.01561i −0.449789 0.361971i
\(193\) 17.4301 + 8.39388i 1.25464 + 0.604205i 0.938753 0.344591i \(-0.111982\pi\)
0.315891 + 0.948795i \(0.397697\pi\)
\(194\) 4.20874 + 7.97760i 0.302170 + 0.572759i
\(195\) −0.405606 −0.0290460
\(196\) 4.41864 13.2844i 0.315617 0.948887i
\(197\) 7.96516 0.567494 0.283747 0.958899i \(-0.408422\pi\)
0.283747 + 0.958899i \(0.408422\pi\)
\(198\) −2.67613 5.07256i −0.190184 0.360491i
\(199\) −15.6249 7.52455i −1.10762 0.533402i −0.211573 0.977362i \(-0.567859\pi\)
−0.896046 + 0.443961i \(0.853573\pi\)
\(200\) −7.12583 + 4.45544i −0.503872 + 0.315047i
\(201\) −4.35569 + 9.04467i −0.307226 + 0.637962i
\(202\) 0.614973 + 16.7672i 0.0432694 + 1.17974i
\(203\) 0.356700 4.18566i 0.0250355 0.293776i
\(204\) 0.363906 0.111661i 0.0254785 0.00781783i
\(205\) −1.97513 2.47673i −0.137949 0.172982i
\(206\) −15.0282 + 0.551191i −1.04707 + 0.0384033i
\(207\) −2.11530 1.68689i −0.147023 0.117247i
\(208\) 0.338967 1.08748i 0.0235031 0.0754028i
\(209\) −24.7505 19.7379i −1.71203 1.36530i
\(210\) −1.43564 + 5.13234i −0.0990686 + 0.354165i
\(211\) 16.7959 13.3943i 1.15628 0.922101i 0.158410 0.987373i \(-0.449363\pi\)
0.997867 + 0.0652726i \(0.0207917\pi\)
\(212\) 23.1050 + 9.10751i 1.58686 + 0.625506i
\(213\) −12.2478 2.79548i −0.839206 0.191543i
\(214\) 1.39188 3.18379i 0.0951468 0.217640i
\(215\) 7.82717 0.533809
\(216\) −2.81134 + 0.310449i −0.191287 + 0.0211234i
\(217\) 9.83026 1.37914i 0.667322 0.0936219i
\(218\) −2.65769 + 13.9896i −0.180001 + 0.947495i
\(219\) 11.9552 2.72870i 0.807858 0.184388i
\(220\) −1.73869 + 11.4209i −0.117222 + 0.769994i
\(221\) 0.0337925 + 0.0423745i 0.00227313 + 0.00285042i
\(222\) 1.95340 10.2824i 0.131104 0.690106i
\(223\) 2.15388 + 9.43676i 0.144234 + 0.631932i 0.994424 + 0.105456i \(0.0336301\pi\)
−0.850190 + 0.526477i \(0.823513\pi\)
\(224\) −12.5606 8.13824i −0.839242 0.543759i
\(225\) −0.661174 + 2.89679i −0.0440782 + 0.193119i
\(226\) −25.2983 11.0598i −1.68282 0.735689i
\(227\) −26.9714 −1.79016 −0.895079 0.445908i \(-0.852881\pi\)
−0.895079 + 0.445908i \(0.852881\pi\)
\(228\) −13.5322 + 7.78617i −0.896192 + 0.515651i
\(229\) 8.20775 + 17.0436i 0.542383 + 1.12627i 0.974486 + 0.224446i \(0.0720573\pi\)
−0.432103 + 0.901824i \(0.642228\pi\)
\(230\) 1.40663 + 5.26517i 0.0927503 + 0.347175i
\(231\) −5.95332 8.92647i −0.391700 0.587318i
\(232\) −4.23556 1.49264i −0.278078 0.0979966i
\(233\) −3.25769 + 14.2729i −0.213418 + 0.935047i 0.748806 + 0.662789i \(0.230627\pi\)
−0.962224 + 0.272258i \(0.912230\pi\)
\(234\) −0.187918 0.356195i −0.0122846 0.0232852i
\(235\) −0.840029 1.74434i −0.0547975 0.113788i
\(236\) −0.543193 + 3.56805i −0.0353589 + 0.232260i
\(237\) 4.04285 8.39507i 0.262611 0.545318i
\(238\) 0.655795 0.277610i 0.0425089 0.0179948i
\(239\) 4.93373 + 10.2450i 0.319136 + 0.662693i 0.997395 0.0721297i \(-0.0229795\pi\)
−0.678259 + 0.734823i \(0.737265\pi\)
\(240\) 4.92557 + 2.86324i 0.317944 + 0.184821i
\(241\) −1.86855 + 0.426484i −0.120364 + 0.0274723i −0.282279 0.959332i \(-0.591090\pi\)
0.161915 + 0.986805i \(0.448233\pi\)
\(242\) −5.01971 5.84174i −0.322679 0.375521i
\(243\) −0.623490 + 0.781831i −0.0399969 + 0.0501545i
\(244\) −10.1314 + 9.37270i −0.648595 + 0.600026i
\(245\) −1.68708 + 9.82653i −0.107784 + 0.627794i
\(246\) 1.25994 2.88199i 0.0803305 0.183749i
\(247\) −1.73798 1.38599i −0.110585 0.0881886i
\(248\) 1.21154 10.5425i 0.0769330 0.669451i
\(249\) 1.25763 + 5.51003i 0.0796990 + 0.349184i
\(250\) 12.1782 10.4645i 0.770216 0.661834i
\(251\) 10.6366 5.12231i 0.671376 0.323317i −0.0669554 0.997756i \(-0.521329\pi\)
0.738331 + 0.674439i \(0.235614\pi\)
\(252\) −5.17225 + 1.11707i −0.325821 + 0.0703687i
\(253\) −9.88556 4.76063i −0.621500 0.299298i
\(254\) 4.44897 1.18857i 0.279153 0.0745778i
\(255\) −0.244240 + 0.117620i −0.0152949 + 0.00736565i
\(256\) −11.7930 + 10.8132i −0.737062 + 0.675825i
\(257\) −25.6796 5.86120i −1.60185 0.365612i −0.674048 0.738687i \(-0.735446\pi\)
−0.927801 + 0.373076i \(0.878303\pi\)
\(258\) 3.62634 + 6.87366i 0.225766 + 0.427936i
\(259\) 1.66262 19.5099i 0.103310 1.21228i
\(260\) −0.122091 + 0.801971i −0.00757174 + 0.0497361i
\(261\) −1.43053 + 0.688905i −0.0885474 + 0.0426422i
\(262\) −13.3710 + 18.0891i −0.826063 + 1.11755i
\(263\) 5.38078i 0.331793i −0.986143 0.165897i \(-0.946948\pi\)
0.986143 0.165897i \(-0.0530518\pi\)
\(264\) −10.8351 + 3.76441i −0.666854 + 0.231684i
\(265\) −17.2433 3.93568i −1.05925 0.241767i
\(266\) −23.6893 + 17.0858i −1.45248 + 1.04760i
\(267\) 8.97624 2.04877i 0.549337 0.125383i
\(268\) 16.5722 + 11.3347i 1.01231 + 0.692375i
\(269\) 14.5020 11.5649i 0.884201 0.705127i −0.0721351 0.997395i \(-0.522981\pi\)
0.956337 + 0.292268i \(0.0944098\pi\)
\(270\) 1.94605 0.519902i 0.118433 0.0316402i
\(271\) −6.18676 27.1060i −0.375819 1.64657i −0.710103 0.704098i \(-0.751351\pi\)
0.334284 0.942473i \(-0.391506\pi\)
\(272\) −0.111240 0.753132i −0.00674489 0.0456653i
\(273\) −0.418042 0.626816i −0.0253010 0.0379366i
\(274\) 7.66147 10.3649i 0.462846 0.626165i
\(275\) 12.0498i 0.726628i
\(276\) −3.97208 + 3.67463i −0.239091 + 0.221187i
\(277\) 0.928522 4.06812i 0.0557895 0.244430i −0.939343 0.342980i \(-0.888564\pi\)
0.995132 + 0.0985508i \(0.0314207\pi\)
\(278\) −25.1529 + 0.922534i −1.50857 + 0.0553299i
\(279\) −2.33926 2.93334i −0.140048 0.175614i
\(280\) 9.71562 + 4.38345i 0.580619 + 0.261961i
\(281\) −11.4335 + 14.3371i −0.682065 + 0.855282i −0.995543 0.0943131i \(-0.969935\pi\)
0.313478 + 0.949596i \(0.398506\pi\)
\(282\) 1.14266 1.54585i 0.0680442 0.0920541i
\(283\) 5.28715 6.62988i 0.314288 0.394105i −0.599447 0.800414i \(-0.704613\pi\)
0.913736 + 0.406309i \(0.133184\pi\)
\(284\) −9.21397 + 23.3751i −0.546748 + 1.38706i
\(285\) 8.69283 6.93230i 0.514919 0.410634i
\(286\) −1.06441 1.23872i −0.0629397 0.0732468i
\(287\) 1.79181 5.60499i 0.105767 0.330852i
\(288\) −0.232410 + 5.65208i −0.0136949 + 0.333052i
\(289\) −15.2838 7.36031i −0.899049 0.432959i
\(290\) 3.14204 + 0.596913i 0.184507 + 0.0350520i
\(291\) 2.76728 5.74631i 0.162221 0.336854i
\(292\) −1.79662 24.4594i −0.105139 1.43138i
\(293\) 7.84107i 0.458080i −0.973417 0.229040i \(-0.926441\pi\)
0.973417 0.229040i \(-0.0735587\pi\)
\(294\) −9.41108 + 3.07108i −0.548865 + 0.179109i
\(295\) 2.57031i 0.149650i
\(296\) −19.7425 6.95738i −1.14751 0.404389i
\(297\) −1.75957 + 3.65379i −0.102101 + 0.212014i
\(298\) 1.60148 8.42991i 0.0927713 0.488332i
\(299\) −0.694163 0.334291i −0.0401445 0.0193326i
\(300\) 5.52857 + 2.17924i 0.319192 + 0.125819i
\(301\) 8.06715 + 12.0960i 0.464983 + 0.697200i
\(302\) −16.3108 + 14.0156i −0.938580 + 0.806507i
\(303\) 9.27581 7.39721i 0.532881 0.424959i
\(304\) 11.3216 + 29.0998i 0.649341 + 1.66899i
\(305\) 6.12842 7.68479i 0.350912 0.440030i
\(306\) −0.216448 0.159993i −0.0123735 0.00914621i
\(307\) −5.70350 + 7.15196i −0.325516 + 0.408184i −0.917481 0.397780i \(-0.869781\pi\)
0.591965 + 0.805964i \(0.298352\pi\)
\(308\) −19.4416 + 9.08407i −1.10779 + 0.517613i
\(309\) 6.63000 + 8.31376i 0.377168 + 0.472953i
\(310\) 0.276998 + 7.55235i 0.0157324 + 0.428944i
\(311\) −4.90647 + 21.4966i −0.278220 + 1.21896i 0.621822 + 0.783159i \(0.286393\pi\)
−0.900042 + 0.435803i \(0.856464\pi\)
\(312\) −0.760839 + 0.264337i −0.0430741 + 0.0149651i
\(313\) 29.4433i 1.66424i 0.554598 + 0.832118i \(0.312872\pi\)
−0.554598 + 0.832118i \(0.687128\pi\)
\(314\) 0.0496710 + 0.0367156i 0.00280310 + 0.00207198i
\(315\) 3.52180 1.34086i 0.198431 0.0755487i
\(316\) −15.3820 10.5206i −0.865303 0.591829i
\(317\) 0.375333 + 1.64444i 0.0210808 + 0.0923611i 0.984374 0.176091i \(-0.0563452\pi\)
−0.963293 + 0.268452i \(0.913488\pi\)
\(318\) −4.53263 16.9661i −0.254177 0.951414i
\(319\) −5.03423 + 4.01466i −0.281863 + 0.224778i
\(320\) 7.14388 8.87708i 0.399355 0.496244i
\(321\) −2.39541 + 0.546738i −0.133699 + 0.0305159i
\(322\) −6.68695 + 7.60038i −0.372649 + 0.423553i
\(323\) −1.44846 0.330602i −0.0805947 0.0183952i
\(324\) 1.35818 + 1.46811i 0.0754542 + 0.0815619i
\(325\) 0.846133i 0.0469350i
\(326\) −7.44902 5.50614i −0.412563 0.304957i
\(327\) 9.07191 4.36880i 0.501678 0.241595i
\(328\) −5.31907 3.35867i −0.293696 0.185452i
\(329\) 1.82988 3.09599i 0.100885 0.170687i
\(330\) 7.22499 3.81169i 0.397723 0.209827i
\(331\) 20.9938 + 4.79169i 1.15392 + 0.263375i 0.756332 0.654188i \(-0.226989\pi\)
0.397590 + 0.917563i \(0.369847\pi\)
\(332\) 11.2731 0.828042i 0.618691 0.0454447i
\(333\) −6.66786 + 3.21107i −0.365396 + 0.175966i
\(334\) −4.07376 15.2486i −0.222906 0.834365i
\(335\) −12.8826 6.20393i −0.703851 0.338957i
\(336\) 0.651800 + 10.5629i 0.0355586 + 0.576254i
\(337\) −10.7614 + 5.18239i −0.586208 + 0.282303i −0.703386 0.710808i \(-0.748330\pi\)
0.117178 + 0.993111i \(0.462615\pi\)
\(338\) 11.9071 + 13.8570i 0.647661 + 0.753723i
\(339\) 4.34436 + 19.0339i 0.235953 + 1.03378i
\(340\) 0.159042 + 0.518321i 0.00862526 + 0.0281099i
\(341\) −11.8958 9.48662i −0.644196 0.513729i
\(342\) 10.1152 + 4.42212i 0.546967 + 0.239121i
\(343\) −16.9245 + 7.52063i −0.913839 + 0.406076i
\(344\) 14.6823 5.10103i 0.791616 0.275029i
\(345\) 2.40269 3.01288i 0.129356 0.162208i
\(346\) −11.5416 + 9.91754i −0.620482 + 0.533170i
\(347\) −16.7103 + 3.81402i −0.897057 + 0.204747i −0.646102 0.763251i \(-0.723602\pi\)
−0.250955 + 0.967999i \(0.580745\pi\)
\(348\) 0.931516 + 3.03583i 0.0499345 + 0.162738i
\(349\) 8.36177 + 17.3634i 0.447595 + 0.929441i 0.995665 + 0.0930087i \(0.0296484\pi\)
−0.548070 + 0.836432i \(0.684637\pi\)
\(350\) 10.7066 + 2.99488i 0.572290 + 0.160083i
\(351\) −0.123557 + 0.256569i −0.00659498 + 0.0136946i
\(352\) 4.18161 + 22.5565i 0.222881 + 1.20226i
\(353\) −8.15955 16.9435i −0.434289 0.901811i −0.997163 0.0752682i \(-0.976019\pi\)
0.562874 0.826543i \(-0.309696\pi\)
\(354\) 2.25720 1.19083i 0.119969 0.0632919i
\(355\) 3.98168 17.4449i 0.211326 0.925879i
\(356\) −1.34894 18.3647i −0.0714937 0.973327i
\(357\) −0.433496 0.256218i −0.0229431 0.0135605i
\(358\) −23.8289 + 6.36605i −1.25939 + 0.336456i
\(359\) 10.8934 + 22.6205i 0.574934 + 1.19386i 0.962314 + 0.271942i \(0.0876658\pi\)
−0.387380 + 0.921920i \(0.626620\pi\)
\(360\) −0.442181 4.00427i −0.0233050 0.211044i
\(361\) 41.9362 2.20717
\(362\) 4.20304 9.61407i 0.220907 0.505304i
\(363\) −1.21191 + 5.30971i −0.0636086 + 0.278687i
\(364\) −1.36519 + 0.637883i −0.0715552 + 0.0334341i
\(365\) 3.88656 + 17.0281i 0.203432 + 0.891294i
\(366\) 9.58793 + 1.82148i 0.501169 + 0.0952101i
\(367\) −4.91338 6.16119i −0.256476 0.321611i 0.636877 0.770965i \(-0.280226\pi\)
−0.893354 + 0.449354i \(0.851654\pi\)
\(368\) 6.06993 + 8.95976i 0.316417 + 0.467060i
\(369\) −2.16834 + 0.494910i −0.112879 + 0.0257640i
\(370\) 14.6455 + 2.78229i 0.761381 + 0.144644i
\(371\) −11.6899 30.7039i −0.606909 1.59407i
\(372\) −6.50398 + 3.74226i −0.337216 + 0.194027i
\(373\) −22.6045 −1.17042 −0.585208 0.810883i \(-0.698987\pi\)
−0.585208 + 0.810883i \(0.698987\pi\)
\(374\) −1.00016 0.437244i −0.0517168 0.0226093i
\(375\) −11.0691 2.52644i −0.571604 0.130465i
\(376\) −2.71254 2.72459i −0.139888 0.140510i
\(377\) −0.353503 + 0.281909i −0.0182063 + 0.0145191i
\(378\) 2.80917 + 2.47155i 0.144488 + 0.127123i
\(379\) 29.7970 + 23.7623i 1.53057 + 1.22059i 0.892880 + 0.450295i \(0.148681\pi\)
0.637690 + 0.770293i \(0.279890\pi\)
\(380\) −11.0901 19.2743i −0.568908 0.988751i
\(381\) −2.54582 2.03023i −0.130426 0.104012i
\(382\) 0.325027 + 8.86186i 0.0166298 + 0.453412i
\(383\) 5.07381 + 6.36236i 0.259260 + 0.325101i 0.894377 0.447315i \(-0.147620\pi\)
−0.635117 + 0.772416i \(0.719048\pi\)
\(384\) 11.1054 + 2.16085i 0.566722 + 0.110270i
\(385\) 12.7142 8.47948i 0.647977 0.432154i
\(386\) −27.3409 + 1.00278i −1.39161 + 0.0510403i
\(387\) 2.38434 4.95113i 0.121203 0.251680i
\(388\) −10.5287 7.20119i −0.534515 0.365585i
\(389\) −9.22981 4.44484i −0.467970 0.225362i 0.185011 0.982736i \(-0.440768\pi\)
−0.652981 + 0.757374i \(0.726482\pi\)
\(390\) 0.507338 0.267656i 0.0256901 0.0135533i
\(391\) −0.514938 −0.0260415
\(392\) 3.23939 + 19.5322i 0.163614 + 0.986524i
\(393\) 15.9059 0.802349
\(394\) −9.96295 + 5.25615i −0.501926 + 0.264801i
\(395\) 11.9573 + 5.75835i 0.601639 + 0.289734i
\(396\) 6.69469 + 4.57888i 0.336421 + 0.230097i
\(397\) 6.11402 12.6959i 0.306854 0.637189i −0.689332 0.724446i \(-0.742096\pi\)
0.996186 + 0.0872568i \(0.0278101\pi\)
\(398\) 24.5093 0.898928i 1.22854 0.0450592i
\(399\) 19.6724 + 6.28890i 0.984852 + 0.314839i
\(400\) 5.97299 10.2752i 0.298649 0.513761i
\(401\) −3.70460 4.64543i −0.184999 0.231982i 0.680680 0.732581i \(-0.261684\pi\)
−0.865679 + 0.500599i \(0.833113\pi\)
\(402\) −0.520356 14.1875i −0.0259530 0.707609i
\(403\) −0.835325 0.666150i −0.0416105 0.0331833i
\(404\) −11.8338 20.5669i −0.588754 1.02324i
\(405\) −1.11359 0.888054i −0.0553345 0.0441278i
\(406\) 2.31592 + 5.47087i 0.114937 + 0.271515i
\(407\) −23.4651 + 18.7128i −1.16312 + 0.927560i
\(408\) −0.381495 + 0.379806i −0.0188868 + 0.0188032i
\(409\) −20.2417 4.62003i −1.00089 0.228446i −0.309475 0.950908i \(-0.600153\pi\)
−0.691411 + 0.722462i \(0.743010\pi\)
\(410\) 4.10490 + 1.79456i 0.202726 + 0.0886271i
\(411\) −9.11397 −0.449559
\(412\) 18.4338 10.6065i 0.908168 0.522542i
\(413\) 3.97212 2.64912i 0.195455 0.130355i
\(414\) 3.75901 + 0.714123i 0.184745 + 0.0350972i
\(415\) −7.84810 + 1.79128i −0.385248 + 0.0879303i
\(416\) 0.293632 + 1.58391i 0.0143965 + 0.0776577i
\(417\) 11.0967 + 13.9148i 0.543408 + 0.681412i
\(418\) 43.9833 + 8.35577i 2.15129 + 0.408694i
\(419\) −7.64293 33.4859i −0.373382 1.63589i −0.717208 0.696859i \(-0.754580\pi\)
0.343827 0.939033i \(-0.388277\pi\)
\(420\) −1.59107 7.36698i −0.0776364 0.359472i
\(421\) 5.43018 23.7912i 0.264651 1.15951i −0.651491 0.758656i \(-0.725856\pi\)
0.916142 0.400854i \(-0.131287\pi\)
\(422\) −12.1698 + 27.8373i −0.592416 + 1.35510i
\(423\) −1.35929 −0.0660907
\(424\) −34.9101 + 3.85504i −1.69539 + 0.187217i
\(425\) 0.245367 + 0.509509i 0.0119020 + 0.0247148i
\(426\) 17.1645 4.58561i 0.831621 0.222173i
\(427\) 18.1922 + 1.55034i 0.880384 + 0.0750261i
\(428\) 0.359980 + 4.90083i 0.0174003 + 0.236891i
\(429\) −0.256979 + 1.12590i −0.0124071 + 0.0543590i
\(430\) −9.79036 + 5.16510i −0.472133 + 0.249083i
\(431\) −13.1412 27.2880i −0.632990 1.31442i −0.932792 0.360416i \(-0.882635\pi\)
0.299802 0.954002i \(-0.403080\pi\)
\(432\) 3.31160 2.24350i 0.159330 0.107940i
\(433\) 11.5721 24.0297i 0.556119 1.15479i −0.413575 0.910470i \(-0.635720\pi\)
0.969694 0.244323i \(-0.0785658\pi\)
\(434\) −11.3858 + 8.21197i −0.546534 + 0.394187i
\(435\) −0.981227 2.03754i −0.0470463 0.0976926i
\(436\) −5.90736 19.2522i −0.282911 0.922013i
\(437\) 20.5906 4.69966i 0.984980 0.224815i
\(438\) −13.1531 + 11.3023i −0.628480 + 0.540043i
\(439\) −9.79589 + 12.2837i −0.467532 + 0.586267i −0.958565 0.284874i \(-0.908048\pi\)
0.491033 + 0.871141i \(0.336620\pi\)
\(440\) −5.36176 15.4327i −0.255612 0.735727i
\(441\) 5.70191 + 4.06056i 0.271520 + 0.193360i
\(442\) −0.0702309 0.0307032i −0.00334054 0.00146040i
\(443\) −0.531156 0.423583i −0.0252360 0.0201250i 0.610791 0.791792i \(-0.290852\pi\)
−0.636027 + 0.771667i \(0.719423\pi\)
\(444\) 4.34191 + 14.1504i 0.206058 + 0.671547i
\(445\) 2.91812 + 12.7851i 0.138332 + 0.606073i
\(446\) −8.92136 10.3823i −0.422439 0.491617i
\(447\) −5.46659 + 2.63257i −0.258561 + 0.124516i
\(448\) 21.0814 + 1.89077i 0.996002 + 0.0893307i
\(449\) −9.44725 4.54955i −0.445843 0.214707i 0.197472 0.980309i \(-0.436727\pi\)
−0.643315 + 0.765602i \(0.722441\pi\)
\(450\) −1.08457 4.05966i −0.0511269 0.191374i
\(451\) −8.12641 + 3.91347i −0.382658 + 0.184278i
\(452\) 38.9419 2.86040i 1.83167 0.134542i
\(453\) 14.8253 + 3.38378i 0.696553 + 0.158984i
\(454\) 33.7363 17.7983i 1.58332 0.835314i
\(455\) 0.892792 0.595429i 0.0418547 0.0279141i
\(456\) 11.7883 18.6689i 0.552036 0.874250i
\(457\) 16.4874 7.93992i 0.771248 0.371414i −0.00650846 0.999979i \(-0.502072\pi\)
0.777757 + 0.628565i \(0.216357\pi\)
\(458\) −21.5133 15.9021i −1.00525 0.743058i
\(459\) 0.190326i 0.00888364i
\(460\) −5.23389 5.65754i −0.244031 0.263784i
\(461\) −24.5345 5.59985i −1.14269 0.260811i −0.391038 0.920374i \(-0.627884\pi\)
−0.751649 + 0.659564i \(0.770741\pi\)
\(462\) 13.3370 + 7.23681i 0.620494 + 0.336687i
\(463\) 20.0692 4.58066i 0.932694 0.212881i 0.270935 0.962598i \(-0.412667\pi\)
0.661759 + 0.749717i \(0.269810\pi\)
\(464\) 6.28289 0.928001i 0.291676 0.0430814i
\(465\) 4.17803 3.33187i 0.193752 0.154512i
\(466\) −5.34380 20.0025i −0.247547 0.926596i
\(467\) 0.468610 + 2.05312i 0.0216847 + 0.0950068i 0.984612 0.174753i \(-0.0559128\pi\)
−0.962928 + 0.269760i \(0.913056\pi\)
\(468\) 0.470101 + 0.321528i 0.0217304 + 0.0148627i
\(469\) −3.69013 26.3027i −0.170394 1.21454i
\(470\) 2.20180 + 1.62752i 0.101561 + 0.0750718i
\(471\) 0.0436764i 0.00201250i
\(472\) −1.67510 4.82142i −0.0771025 0.221924i
\(473\) 4.95906 21.7271i 0.228018 0.999011i
\(474\) 0.482983 + 13.1685i 0.0221842 + 0.604851i
\(475\) −14.4614 18.1341i −0.663537 0.832049i
\(476\) −0.637086 + 0.779993i −0.0292008 + 0.0357509i
\(477\) −7.74226 + 9.70849i −0.354494 + 0.444521i
\(478\) −12.9318 9.55886i −0.591486 0.437212i
\(479\) 11.3019 14.1722i 0.516398 0.647542i −0.453442 0.891286i \(-0.649804\pi\)
0.969840 + 0.243743i \(0.0783755\pi\)
\(480\) −8.05042 0.331029i −0.367450 0.0151093i
\(481\) −1.64772 + 1.31401i −0.0751296 + 0.0599138i
\(482\) 2.05578 1.76650i 0.0936382 0.0804618i
\(483\) 7.13240 + 0.607820i 0.324535 + 0.0276568i
\(484\) 10.1337 + 3.99447i 0.460621 + 0.181567i
\(485\) 8.18463 + 3.94151i 0.371645 + 0.178975i
\(486\) 0.263946 1.38936i 0.0119728 0.0630228i
\(487\) −3.85320 + 8.00126i −0.174605 + 0.362572i −0.969845 0.243724i \(-0.921631\pi\)
0.795239 + 0.606296i \(0.207345\pi\)
\(488\) 6.48750 18.4091i 0.293675 0.833343i
\(489\) 6.55002i 0.296202i
\(490\) −4.37423 13.4045i −0.197608 0.605552i
\(491\) 28.7534i 1.29762i 0.760949 + 0.648812i \(0.224734\pi\)
−0.760949 + 0.648812i \(0.775266\pi\)
\(492\) 0.325856 + 4.43626i 0.0146907 + 0.200002i
\(493\) −0.131116 + 0.272266i −0.00590518 + 0.0122622i
\(494\) 3.08850 + 0.586741i 0.138958 + 0.0263987i
\(495\) −5.20420 2.50621i −0.233911 0.112646i
\(496\) 5.44152 + 13.9862i 0.244332 + 0.628001i
\(497\) 31.0628 11.8265i 1.39336 0.530493i
\(498\) −5.20909 6.06214i −0.233425 0.271651i
\(499\) −14.0042 + 11.1680i −0.626916 + 0.499949i −0.884643 0.466269i \(-0.845598\pi\)
0.257727 + 0.966218i \(0.417026\pi\)
\(500\) −8.32721 + 21.1255i −0.372404 + 0.944761i
\(501\) −6.95847 + 8.72565i −0.310882 + 0.389833i
\(502\) −9.92424 + 13.4261i −0.442941 + 0.599235i
\(503\) −8.24839 + 10.3432i −0.367778 + 0.461179i −0.930942 0.365166i \(-0.881012\pi\)
0.563165 + 0.826345i \(0.309584\pi\)
\(504\) 5.73239 4.81038i 0.255341 0.214271i
\(505\) 10.5361 + 13.2118i 0.468848 + 0.587917i
\(506\) 15.5065 0.568734i 0.689349 0.0252833i
\(507\) 2.87473 12.5950i 0.127671 0.559364i
\(508\) −4.78052 + 4.42254i −0.212101 + 0.196218i
\(509\) 38.5070i 1.70679i 0.521262 + 0.853397i \(0.325462\pi\)
−0.521262 + 0.853397i \(0.674538\pi\)
\(510\) 0.227883 0.308293i 0.0100908 0.0136515i
\(511\) −22.3093 + 23.5564i −0.986903 + 1.04208i
\(512\) 7.61530 21.3074i 0.336552 0.941665i
\(513\) −1.73704 7.61045i −0.0766920 0.336010i
\(514\) 35.9882 9.61450i 1.58737 0.424078i
\(515\) −11.8415 + 9.44330i −0.521800 + 0.416122i
\(516\) −9.07177 6.20469i −0.399362 0.273146i
\(517\) −5.37424 + 1.22663i −0.236359 + 0.0539473i
\(518\) 10.7948 + 25.5004i 0.474296 + 1.12042i
\(519\) 10.4905 + 2.39439i 0.460481 + 0.105102i
\(520\) −0.376502 1.08369i −0.0165107 0.0475228i
\(521\) 0.0558531i 0.00244697i −0.999999 0.00122348i \(-0.999611\pi\)
0.999999 0.00122348i \(-0.000389447\pi\)
\(522\) 1.33472 1.80569i 0.0584192 0.0790328i
\(523\) −18.7479 + 9.02849i −0.819786 + 0.394788i −0.796275 0.604935i \(-0.793199\pi\)
−0.0235117 + 0.999724i \(0.507485\pi\)
\(524\) 4.78782 31.4495i 0.209157 1.37388i
\(525\) −2.79715 7.34682i −0.122078 0.320642i
\(526\) 3.55074 + 6.73037i 0.154820 + 0.293458i
\(527\) −0.696175 0.158897i −0.0303259 0.00692168i
\(528\) 11.0686 11.8586i 0.481699 0.516079i
\(529\) −14.1271 + 6.80326i −0.614223 + 0.295794i
\(530\) 24.1654 6.45595i 1.04968 0.280428i
\(531\) −1.62587 0.782978i −0.0705568 0.0339783i
\(532\) 18.3561 37.0036i 0.795837 1.60431i
\(533\) −0.570636 + 0.274804i −0.0247170 + 0.0119031i
\(534\) −9.87566 + 8.48599i −0.427362 + 0.367225i
\(535\) −0.778734 3.41186i −0.0336676 0.147507i
\(536\) −28.2084 3.24170i −1.21842 0.140020i
\(537\) 13.6355 + 10.8740i 0.588416 + 0.469246i
\(538\) −10.5077 + 24.0354i −0.453019 + 1.03624i
\(539\) 26.2081 + 10.9089i 1.12886 + 0.469878i
\(540\) −2.09108 + 1.93449i −0.0899856 + 0.0832472i
\(541\) −26.0072 + 32.6120i −1.11814 + 1.40210i −0.212960 + 0.977061i \(0.568310\pi\)
−0.905176 + 0.425037i \(0.860261\pi\)
\(542\) 25.6255 + 29.8220i 1.10071 + 1.28096i
\(543\) −7.23341 + 1.65098i −0.310415 + 0.0708503i
\(544\) 0.636127 + 0.868623i 0.0272737 + 0.0372419i
\(545\) 6.22261 + 12.9214i 0.266547 + 0.553491i
\(546\) 0.936525 + 0.508168i 0.0400795 + 0.0217476i
\(547\) 15.0596 31.2716i 0.643902 1.33708i −0.282037 0.959404i \(-0.591010\pi\)
0.925939 0.377673i \(-0.123276\pi\)
\(548\) −2.74338 + 18.0203i −0.117191 + 0.769790i
\(549\) −2.99421 6.21754i −0.127790 0.265358i
\(550\) −7.95155 15.0720i −0.339055 0.642673i
\(551\) 2.75800 12.0836i 0.117495 0.514779i
\(552\) 2.54347 7.21744i 0.108257 0.307194i
\(553\) 3.42510 + 24.4136i 0.145650 + 1.03817i
\(554\) 1.52311 + 5.70120i 0.0647109 + 0.242221i
\(555\) −4.57362 9.49722i −0.194139 0.403135i
\(556\) 30.8529 17.7521i 1.30845 0.752858i
\(557\) 42.3809 1.79574 0.897869 0.440263i \(-0.145115\pi\)
0.897869 + 0.440263i \(0.145115\pi\)
\(558\) 4.86167 + 2.12540i 0.205811 + 0.0899755i
\(559\) 0.348225 1.52567i 0.0147283 0.0645290i
\(560\) −15.0451 + 0.928377i −0.635770 + 0.0392311i
\(561\) 0.171752 + 0.752495i 0.00725137 + 0.0317703i
\(562\) 4.84021 25.4780i 0.204172 1.07473i
\(563\) 26.1401 + 32.7787i 1.10167 + 1.38146i 0.917109 + 0.398636i \(0.130516\pi\)
0.184566 + 0.982820i \(0.440912\pi\)
\(564\) −0.409156 + 2.68761i −0.0172286 + 0.113169i
\(565\) −27.1105 + 6.18780i −1.14055 + 0.260323i
\(566\) −2.23824 + 11.7817i −0.0940804 + 0.495222i
\(567\) 0.224656 2.63620i 0.00943465 0.110710i
\(568\) −3.90010 35.3182i −0.163645 1.48192i
\(569\) −11.3438 −0.475558 −0.237779 0.971319i \(-0.576419\pi\)
−0.237779 + 0.971319i \(0.576419\pi\)
\(570\) −6.29855 + 14.4074i −0.263817 + 0.603458i
\(571\) 19.3543 + 4.41749i 0.809952 + 0.184866i 0.607391 0.794403i \(-0.292216\pi\)
0.202562 + 0.979270i \(0.435073\pi\)
\(572\) 2.14880 + 0.847010i 0.0898458 + 0.0354153i
\(573\) 4.90247 3.90959i 0.204804 0.163325i
\(574\) 1.45747 + 8.19322i 0.0608336 + 0.341978i
\(575\) −6.28515 5.01224i −0.262109 0.209025i
\(576\) −3.43906 7.22308i −0.143294 0.300962i
\(577\) −16.7689 13.3728i −0.698099 0.556716i 0.208854 0.977947i \(-0.433027\pi\)
−0.906953 + 0.421231i \(0.861598\pi\)
\(578\) 23.9743 0.879306i 0.997199 0.0365743i
\(579\) 12.0620 + 15.1253i 0.501279 + 0.628584i
\(580\) −4.32402 + 1.32678i −0.179545 + 0.0550917i
\(581\) −10.8569 10.2821i −0.450421 0.426574i
\(582\) 0.330595 + 9.01368i 0.0137036 + 0.373629i
\(583\) −21.8497 + 45.3714i −0.904922 + 1.87909i
\(584\) 18.3878 + 29.4087i 0.760894 + 1.21694i
\(585\) −0.365438 0.175986i −0.0151090 0.00727611i
\(586\) 5.17427 + 9.80773i 0.213747 + 0.405154i
\(587\) 11.0746 0.457097 0.228549 0.973533i \(-0.426602\pi\)
0.228549 + 0.973533i \(0.426602\pi\)
\(588\) 9.74495 10.0517i 0.401875 0.414524i
\(589\) 29.2878 1.20678
\(590\) 1.69613 + 3.21499i 0.0698287 + 0.132359i
\(591\) 7.17636 + 3.45595i 0.295196 + 0.142159i
\(592\) 29.2853 4.32552i 1.20362 0.177778i
\(593\) −9.40102 + 19.5214i −0.386054 + 0.801649i 0.613871 + 0.789406i \(0.289611\pi\)
−0.999925 + 0.0122426i \(0.996103\pi\)
\(594\) −0.210209 5.73135i −0.00862498 0.235160i
\(595\) 0.364939 0.617441i 0.0149611 0.0253126i
\(596\) 3.55968 + 11.6011i 0.145810 + 0.475199i
\(597\) −10.8128 13.5588i −0.442537 0.554924i
\(598\) 1.08887 0.0399364i 0.0445271 0.00163312i
\(599\) 14.4887 + 11.5543i 0.591991 + 0.472097i 0.873075 0.487586i \(-0.162122\pi\)
−0.281084 + 0.959683i \(0.590694\pi\)
\(600\) −8.35329 + 0.922433i −0.341022 + 0.0376582i
\(601\) −6.07987 4.84853i −0.248003 0.197776i 0.491596 0.870823i \(-0.336414\pi\)
−0.739599 + 0.673047i \(0.764985\pi\)
\(602\) −18.0726 9.80638i −0.736583 0.399678i
\(603\) −7.84867 + 6.25911i −0.319623 + 0.254891i
\(604\) 11.1530 28.2943i 0.453809 1.15128i
\(605\) −7.56277 1.72615i −0.307470 0.0701781i
\(606\) −6.72096 + 15.3736i −0.273020 + 0.624509i
\(607\) −41.5798 −1.68767 −0.843835 0.536602i \(-0.819707\pi\)
−0.843835 + 0.536602i \(0.819707\pi\)
\(608\) −33.3641 28.9275i −1.35309 1.17316i
\(609\) 2.13747 3.61638i 0.0866145 0.146543i
\(610\) −2.59438 + 13.6564i −0.105043 + 0.552930i
\(611\) −0.377379 + 0.0861342i −0.0152671 + 0.00348462i
\(612\) 0.376315 + 0.0572896i 0.0152117 + 0.00231580i
\(613\) −12.0191 15.0715i −0.485447 0.608731i 0.477431 0.878669i \(-0.341568\pi\)
−0.962878 + 0.269939i \(0.912997\pi\)
\(614\) 2.41450 12.7095i 0.0974412 0.512913i
\(615\) −0.704915 3.08843i −0.0284249 0.124538i
\(616\) 18.3233 24.1919i 0.738268 0.974718i
\(617\) −5.88122 + 25.7673i −0.236769 + 1.03735i 0.707121 + 0.707093i \(0.249994\pi\)
−0.943890 + 0.330260i \(0.892864\pi\)
\(618\) −13.7791 6.02389i −0.554277 0.242316i
\(619\) −9.71176 −0.390348 −0.195174 0.980769i \(-0.562527\pi\)
−0.195174 + 0.980769i \(0.562527\pi\)
\(620\) −5.33022 9.26381i −0.214067 0.372044i
\(621\) −1.17390 2.43763i −0.0471070 0.0978187i
\(622\) −8.04839 30.1261i −0.322711 1.20795i
\(623\) −16.7503 + 17.6867i −0.671087 + 0.708603i
\(624\) 0.777236 0.832709i 0.0311144 0.0333350i
\(625\) 0.292618 1.28204i 0.0117047 0.0512817i
\(626\) −19.4295 36.8282i −0.776558 1.47195i
\(627\) −13.7355 28.5221i −0.548543 1.13906i
\(628\) −0.0863577 0.0131469i −0.00344605 0.000524620i
\(629\) −0.611149 + 1.26906i −0.0243681 + 0.0506009i
\(630\) −3.52031 + 4.00118i −0.140252 + 0.159411i
\(631\) 1.23201 + 2.55829i 0.0490455 + 0.101844i 0.924051 0.382268i \(-0.124857\pi\)
−0.875006 + 0.484112i \(0.839143\pi\)
\(632\) 26.1825 + 3.00888i 1.04148 + 0.119687i
\(633\) 20.9442 4.78037i 0.832455 0.190002i
\(634\) −1.55463 1.80922i −0.0617422 0.0718531i
\(635\) 2.89171 3.62609i 0.114754 0.143897i
\(636\) 16.8653 + 18.2305i 0.668754 + 0.722886i
\(637\) 1.84033 + 0.766020i 0.0729165 + 0.0303508i
\(638\) 3.64764 8.34366i 0.144412 0.330328i
\(639\) −9.82197 7.83276i −0.388551 0.309859i
\(640\) −3.07776 + 15.8178i −0.121659 + 0.625253i
\(641\) −8.86521 38.8410i −0.350155 1.53413i −0.776823 0.629719i \(-0.783170\pi\)
0.426668 0.904408i \(-0.359687\pi\)
\(642\) 2.63543 2.26459i 0.104012 0.0893761i
\(643\) 9.37133 4.51300i 0.369569 0.177975i −0.239876 0.970804i \(-0.577107\pi\)
0.609445 + 0.792828i \(0.291392\pi\)
\(644\) 3.34870 13.9194i 0.131957 0.548499i
\(645\) 7.05204 + 3.39608i 0.277674 + 0.133721i
\(646\) 2.02992 0.542308i 0.0798663 0.0213368i
\(647\) −14.5023 + 6.98393i −0.570143 + 0.274567i −0.696664 0.717397i \(-0.745333\pi\)
0.126521 + 0.991964i \(0.459619\pi\)
\(648\) −2.66763 0.940089i −0.104794 0.0369302i
\(649\) −7.13481 1.62847i −0.280066 0.0639231i
\(650\) −0.558357 1.05836i −0.0219006 0.0415122i
\(651\) 9.45515 + 3.02263i 0.370576 + 0.118466i
\(652\) 12.9508 + 1.97161i 0.507193 + 0.0772142i
\(653\) 43.6296 21.0109i 1.70736 0.822221i 0.714960 0.699165i \(-0.246445\pi\)
0.992400 0.123056i \(-0.0392694\pi\)
\(654\) −8.46435 + 11.4511i −0.330982 + 0.447772i
\(655\) 22.6553i 0.885215i
\(656\) 8.86954 + 0.691062i 0.346297 + 0.0269814i
\(657\) 11.9552 + 2.72870i 0.466417 + 0.106457i
\(658\) −0.245830 + 5.08004i −0.00958344 + 0.198040i
\(659\) −9.58250 + 2.18714i −0.373281 + 0.0851990i −0.405046 0.914296i \(-0.632744\pi\)
0.0317646 + 0.999495i \(0.489887\pi\)
\(660\) −6.52183 + 9.53544i −0.253862 + 0.371167i
\(661\) −23.5610 + 18.7893i −0.916417 + 0.730818i −0.963397 0.268078i \(-0.913612\pi\)
0.0469806 + 0.998896i \(0.485040\pi\)
\(662\) −29.4214 + 7.86012i −1.14349 + 0.305492i
\(663\) 0.0120604 + 0.0528401i 0.000468388 + 0.00205214i
\(664\) −13.5541 + 8.47477i −0.526003 + 0.328885i
\(665\) −8.95746 + 28.0200i −0.347355 + 1.08657i
\(666\) 6.22130 8.41653i 0.241070 0.326134i
\(667\) 4.29580i 0.166334i
\(668\) 15.1580 + 16.3849i 0.586479 + 0.633951i
\(669\) −2.15388 + 9.43676i −0.0832738 + 0.364846i
\(670\) 20.2077 0.741158i 0.780691 0.0286334i
\(671\) −17.4490 21.8804i −0.673613 0.844684i
\(672\) −7.78568 12.7821i −0.300339 0.493082i
\(673\) −16.2393 + 20.3634i −0.625978 + 0.784952i −0.989172 0.146762i \(-0.953115\pi\)
0.363194 + 0.931714i \(0.381686\pi\)
\(674\) 10.0406 13.5836i 0.386751 0.523219i
\(675\) −1.85257 + 2.32305i −0.0713054 + 0.0894141i
\(676\) −24.0378 9.47516i −0.924529 0.364429i
\(677\) 21.4268 17.0873i 0.823499 0.656718i −0.118269 0.992982i \(-0.537735\pi\)
0.941768 + 0.336263i \(0.109163\pi\)
\(678\) −17.9943 20.9411i −0.691069 0.804238i
\(679\) 2.34443 + 16.7107i 0.0899710 + 0.641299i
\(680\) −0.540969 0.543374i −0.0207452 0.0208374i
\(681\) −24.3004 11.7025i −0.931195 0.448440i
\(682\) 21.1397 + 4.01603i 0.809480 + 0.153782i
\(683\) 14.3160 29.7276i 0.547788 1.13749i −0.424871 0.905254i \(-0.639680\pi\)
0.972659 0.232239i \(-0.0746053\pi\)
\(684\) −15.5704 + 1.14369i −0.595349 + 0.0437301i
\(685\) 12.9813i 0.495990i
\(686\) 16.2067 20.5753i 0.618774 0.785569i
\(687\) 18.9169i 0.721726i
\(688\) −14.9987 + 16.0692i −0.571821 + 0.612633i
\(689\) −1.53428 + 3.18597i −0.0584516 + 0.121376i
\(690\) −1.01715 + 5.35407i −0.0387221 + 0.203826i
\(691\) 7.85280 + 3.78171i 0.298734 + 0.143863i 0.577247 0.816570i \(-0.304127\pi\)
−0.278512 + 0.960433i \(0.589841\pi\)
\(692\) 7.89195 20.0213i 0.300007 0.761094i
\(693\) −1.49071 10.6255i −0.0566273 0.403630i
\(694\) 18.3847 15.7977i 0.697873 0.599671i
\(695\) −19.8193 + 15.8054i −0.751789 + 0.599531i
\(696\) −3.16848 3.18256i −0.120101 0.120635i
\(697\) −0.263926 + 0.330953i −0.00999691 + 0.0125357i
\(698\) −21.9170 16.2005i −0.829571 0.613199i
\(699\) −9.12785 + 11.4460i −0.345247 + 0.432926i
\(700\) −15.3682 + 3.31913i −0.580865 + 0.125451i
\(701\) 22.6571 + 28.4111i 0.855747 + 1.07307i 0.996547 + 0.0830345i \(0.0264612\pi\)
−0.140800 + 0.990038i \(0.544967\pi\)
\(702\) −0.0147609 0.402455i −0.000557113 0.0151897i
\(703\) 12.8554 56.3231i 0.484850 2.12427i
\(704\) −20.1153 25.4546i −0.758123 0.959356i
\(705\) 1.93607i 0.0729166i
\(706\) 21.3870 + 15.8088i 0.804910 + 0.594970i
\(707\) −9.55818 + 29.8991i −0.359472 + 1.12447i
\(708\) −2.03752 + 2.97902i −0.0765746 + 0.111958i
\(709\) 0.829921 + 3.63612i 0.0311683 + 0.136557i 0.988118 0.153696i \(-0.0491176\pi\)
−0.956950 + 0.290253i \(0.906260\pi\)
\(710\) 6.53141 + 24.4478i 0.245120 + 0.917511i
\(711\) 7.28497 5.80957i 0.273208 0.217876i
\(712\) 13.8060 + 22.0807i 0.517402 + 0.827509i
\(713\) 9.89644 2.25880i 0.370625 0.0845926i
\(714\) 0.711301 + 0.0344208i 0.0266198 + 0.00128817i
\(715\) −1.60365 0.366023i −0.0599732 0.0136885i
\(716\) 25.6046 23.6872i 0.956889 0.885234i
\(717\) 11.3711i 0.424661i
\(718\) −28.5528 21.1055i −1.06558 0.787651i
\(719\) −6.63579 + 3.19563i −0.247473 + 0.119177i −0.553509 0.832843i \(-0.686712\pi\)
0.306036 + 0.952020i \(0.400997\pi\)
\(720\) 3.19548 + 4.71681i 0.119088 + 0.175785i
\(721\) −26.7981 8.56685i −0.998013 0.319046i
\(722\) −52.4545 + 27.6734i −1.95215 + 1.02990i
\(723\) −1.86855 0.426484i −0.0694921 0.0158611i
\(724\) 1.08703 + 14.7990i 0.0403991 + 0.550000i
\(725\) −4.25050 + 2.04694i −0.157860 + 0.0760213i
\(726\) −1.98797 7.44120i −0.0737804 0.276169i
\(727\) 32.9993 + 15.8916i 1.22387 + 0.589387i 0.930388 0.366576i \(-0.119470\pi\)
0.293487 + 0.955963i \(0.405184\pi\)
\(728\) 1.28666 1.69875i 0.0476869 0.0629599i
\(729\) −0.900969 + 0.433884i −0.0333692 + 0.0160698i
\(730\) −16.0981 18.7344i −0.595818 0.693390i
\(731\) −0.232736 1.01968i −0.00860804 0.0377143i
\(732\) −13.1947 + 4.04867i −0.487691 + 0.149643i
\(733\) −34.2315 27.2987i −1.26437 1.00830i −0.999025 0.0441464i \(-0.985943\pi\)
−0.265344 0.964154i \(-0.585485\pi\)
\(734\) 10.2115 + 4.46420i 0.376912 + 0.164777i
\(735\) −5.78358 + 8.12140i −0.213330 + 0.299562i
\(736\) −13.5048 7.20151i −0.497795 0.265451i
\(737\) −25.3832 + 31.8295i −0.935001 + 1.17245i
\(738\) 2.38561 2.04992i 0.0878155 0.0754584i
\(739\) 3.12976 0.714347i 0.115130 0.0262777i −0.164568 0.986366i \(-0.552623\pi\)
0.279698 + 0.960088i \(0.409766\pi\)
\(740\) −20.1548 + 6.18431i −0.740904 + 0.227340i
\(741\) −0.964506 2.00282i −0.0354320 0.0735753i
\(742\) 34.8832 + 30.6908i 1.28060 + 1.12670i
\(743\) 14.6026 30.3227i 0.535719 1.11243i −0.440921 0.897546i \(-0.645348\pi\)
0.976639 0.214885i \(-0.0689377\pi\)
\(744\) 5.66579 8.97282i 0.207718 0.328959i
\(745\) −3.74965 7.78623i −0.137376 0.285265i
\(746\) 28.2741 14.9166i 1.03519 0.546134i
\(747\) −1.25763 + 5.51003i −0.0460142 + 0.201602i
\(748\) 1.53955 0.113084i 0.0562914 0.00413476i
\(749\) 4.47001 4.71991i 0.163331 0.172462i
\(750\) 15.5126 4.14429i 0.566439 0.151328i
\(751\) 10.8932 + 22.6199i 0.397498 + 0.825413i 0.999635 + 0.0270203i \(0.00860188\pi\)
−0.602137 + 0.798393i \(0.705684\pi\)
\(752\) 5.19082 + 1.61798i 0.189290 + 0.0590018i
\(753\) 11.8057 0.430225
\(754\) 0.256137 0.585891i 0.00932797 0.0213369i
\(755\) −4.81961 + 21.1161i −0.175404 + 0.768493i
\(756\) −5.14471 1.23771i −0.187111 0.0450151i
\(757\) 0.475181 + 2.08190i 0.0172708 + 0.0756681i 0.982829 0.184519i \(-0.0590728\pi\)
−0.965558 + 0.260187i \(0.916216\pi\)
\(758\) −52.9512 10.0595i −1.92327 0.365376i
\(759\) −6.84102 8.57837i −0.248313 0.311375i
\(760\) 26.5906 + 16.7904i 0.964543 + 0.609050i
\(761\) −43.4291 + 9.91242i −1.57430 + 0.359325i −0.918442 0.395556i \(-0.870552\pi\)
−0.655863 + 0.754880i \(0.727695\pi\)
\(762\) 4.52409 + 0.859469i 0.163890 + 0.0311353i
\(763\) −13.5551 + 22.9339i −0.490727 + 0.830262i
\(764\) −6.25443 10.8701i −0.226277 0.393265i
\(765\) −0.271086 −0.00980115
\(766\) −10.5449 4.60997i −0.381002 0.166565i
\(767\) −0.501005 0.114351i −0.0180903 0.00412898i
\(768\) −15.3168 + 4.62558i −0.552697 + 0.166911i
\(769\) −6.72759 + 5.36508i −0.242603 + 0.193470i −0.737241 0.675629i \(-0.763872\pi\)
0.494638 + 0.869099i \(0.335301\pi\)
\(770\) −10.3076 + 18.9963i −0.371460 + 0.684579i
\(771\) −20.5934 16.4227i −0.741654 0.591450i
\(772\) 33.5367 19.2964i 1.20701 0.694491i
\(773\) 24.8843 + 19.8446i 0.895027 + 0.713760i 0.958763 0.284206i \(-0.0917301\pi\)
−0.0637359 + 0.997967i \(0.520302\pi\)
\(774\) 0.284847 + 7.76637i 0.0102386 + 0.279156i
\(775\) −6.95061 8.71578i −0.249673 0.313080i
\(776\) 17.9215 + 2.05953i 0.643345 + 0.0739329i
\(777\) 9.96298 16.8564i 0.357420 0.604720i
\(778\) 14.4779 0.531008i 0.519059 0.0190375i
\(779\) 7.53298 15.6424i 0.269897 0.560447i
\(780\) −0.457962 + 0.669578i −0.0163977 + 0.0239747i
\(781\) −45.9017 22.1051i −1.64249 0.790983i
\(782\) 0.644093 0.339804i 0.0230327 0.0121514i
\(783\) −1.58776 −0.0567421
\(784\) −16.9410 22.2935i −0.605037 0.796197i
\(785\) 0.0622095 0.00222035
\(786\) −19.8954 + 10.4962i −0.709646 + 0.374388i
\(787\) 0.956187 + 0.460475i 0.0340844 + 0.0164142i 0.450848 0.892601i \(-0.351122\pi\)
−0.416764 + 0.909015i \(0.636836\pi\)
\(788\) 8.99332 13.1490i 0.320374 0.468413i
\(789\) 2.33463 4.84792i 0.0831151 0.172590i
\(790\) −18.7563 + 0.687927i −0.667320 + 0.0244753i
\(791\) −37.5043 35.5186i −1.33350 1.26290i
\(792\) −11.3954 1.30955i −0.404918 0.0465330i
\(793\) −1.22527 1.53644i −0.0435106 0.0545606i
\(794\) 0.730418 + 19.9148i 0.0259216 + 0.706751i
\(795\) −13.8281 11.0275i −0.490432 0.391106i
\(796\) −30.0634 + 17.2979i −1.06557 + 0.613108i
\(797\) 39.0451 + 31.1374i 1.38305 + 1.10294i 0.982416 + 0.186703i \(0.0597803\pi\)
0.400630 + 0.916240i \(0.368791\pi\)
\(798\) −28.7566 + 5.11543i −1.01797 + 0.181084i
\(799\) −0.202265 + 0.161301i −0.00715563 + 0.00570643i
\(800\) −0.690558 + 16.7939i −0.0244149 + 0.593756i
\(801\) 8.97624 + 2.04877i 0.317160 + 0.0723897i
\(802\) 7.69926 + 3.36593i 0.271870 + 0.118855i
\(803\) 49.7299 1.75493
\(804\) 10.0131 + 17.4026i 0.353135 + 0.613742i
\(805\) −0.865736 + 10.1589i −0.0305132 + 0.358053i
\(806\) 1.48443 + 0.282005i 0.0522867 + 0.00993322i
\(807\) 18.0837 4.12748i 0.636576 0.145294i
\(808\) 28.3739 + 17.9164i 0.998190 + 0.630296i
\(809\) 22.1558 + 27.7825i 0.778957 + 0.976782i 0.999999 + 0.00151722i \(0.000482947\pi\)
−0.221041 + 0.975264i \(0.570946\pi\)
\(810\) 1.97891 + 0.375946i 0.0695319 + 0.0132094i
\(811\) 8.35134 + 36.5896i 0.293255 + 1.28483i 0.879965 + 0.475038i \(0.157566\pi\)
−0.586710 + 0.809797i \(0.699577\pi\)
\(812\) −6.50698 5.31480i −0.228350 0.186513i
\(813\) 6.18676 27.1060i 0.216979 0.950648i
\(814\) 17.0021 38.8908i 0.595924 1.36312i
\(815\) −9.32938 −0.326794
\(816\) 0.226548 0.726813i 0.00793077 0.0254436i
\(817\) 18.6126 + 38.6494i 0.651171 + 1.35217i
\(818\) 28.3673 7.57853i 0.991840 0.264977i
\(819\) −0.104677 0.746123i −0.00365772 0.0260716i
\(820\) −6.31869 + 0.464126i −0.220658 + 0.0162080i
\(821\) 7.07517 30.9983i 0.246925 1.08185i −0.687639 0.726053i \(-0.741353\pi\)
0.934564 0.355796i \(-0.115790\pi\)
\(822\) 11.3999 6.01425i 0.397617 0.209771i
\(823\) −10.5264 21.8583i −0.366927 0.761931i 0.632999 0.774153i \(-0.281824\pi\)
−0.999925 + 0.0122217i \(0.996110\pi\)
\(824\) −16.0582 + 25.4311i −0.559413 + 0.885933i
\(825\) −5.22819 + 10.8565i −0.182022 + 0.377973i
\(826\) −3.22025 + 5.93474i −0.112047 + 0.206496i
\(827\) −9.70366 20.1499i −0.337429 0.700679i 0.661350 0.750078i \(-0.269984\pi\)
−0.998779 + 0.0493983i \(0.984270\pi\)
\(828\) −5.17308 + 1.58731i −0.179777 + 0.0551629i
\(829\) 24.9598 5.69691i 0.866890 0.197862i 0.234125 0.972206i \(-0.424777\pi\)
0.632764 + 0.774344i \(0.281920\pi\)
\(830\) 8.63447 7.41946i 0.299707 0.257533i
\(831\) 2.60166 3.26238i 0.0902506 0.113171i
\(832\) −1.41249 1.78742i −0.0489694 0.0619676i
\(833\) 1.33031 0.0724017i 0.0460925 0.00250857i
\(834\) −23.0622 10.0823i −0.798580 0.349120i
\(835\) −12.4282 9.91115i −0.430095 0.342990i
\(836\) −60.5289 + 18.5727i −2.09344 + 0.642351i
\(837\) −0.834871 3.65781i −0.0288574 0.126432i
\(838\) 31.6570 + 36.8412i 1.09357 + 1.27266i
\(839\) −18.3465 + 8.83520i −0.633391 + 0.305025i −0.722891 0.690962i \(-0.757187\pi\)
0.0895005 + 0.995987i \(0.471473\pi\)
\(840\) 6.85156 + 8.16480i 0.236401 + 0.281712i
\(841\) 23.8568 + 11.4888i 0.822647 + 0.396166i
\(842\) 8.90747 + 33.3417i 0.306972 + 1.14903i
\(843\) −16.5219 + 7.95652i −0.569044 + 0.274037i
\(844\) −3.14747 42.8501i −0.108340 1.47496i
\(845\) 17.9394 + 4.09456i 0.617135 + 0.140857i
\(846\) 1.70022 0.896983i 0.0584547 0.0308389i
\(847\) −5.12708 13.4664i −0.176169 0.462712i
\(848\) 41.1223 27.8589i 1.41214 0.956679i
\(849\) 7.64015 3.67930i 0.262209 0.126273i
\(850\) −0.643130 0.475386i −0.0220592 0.0163056i
\(851\) 20.0232i 0.686388i
\(852\) −18.4436 + 17.0625i −0.631867 + 0.584550i
\(853\) 44.9213 + 10.2530i 1.53807 + 0.351055i 0.905806 0.423694i \(-0.139267\pi\)
0.632269 + 0.774749i \(0.282124\pi\)
\(854\) −23.7782 + 10.0658i −0.813674 + 0.344443i
\(855\) 10.8398 2.47411i 0.370713 0.0846128i
\(856\) −3.68429 5.89249i −0.125927 0.201401i
\(857\) 29.1997 23.2860i 0.997444 0.795435i 0.0185547 0.999828i \(-0.494094\pi\)
0.978889 + 0.204393i \(0.0655221\pi\)
\(858\) −0.421540 1.57787i −0.0143911 0.0538677i
\(859\) 8.44817 + 37.0138i 0.288248 + 1.26290i 0.886928 + 0.461908i \(0.152835\pi\)
−0.598680 + 0.800988i \(0.704308\pi\)
\(860\) 8.83752 12.9212i 0.301357 0.440608i
\(861\) 4.04628 4.27249i 0.137897 0.145606i
\(862\) 34.4444 + 25.4605i 1.17318 + 0.867188i
\(863\) 31.5672i 1.07456i −0.843404 0.537280i \(-0.819452\pi\)
0.843404 0.537280i \(-0.180548\pi\)
\(864\) −2.66174 + 4.99151i −0.0905542 + 0.169815i
\(865\) −3.41039 + 14.9419i −0.115957 + 0.508040i
\(866\) 1.38247 + 37.6931i 0.0469783 + 1.28086i
\(867\) −10.5767 13.2628i −0.359205 0.450429i
\(868\) 8.82248 17.7851i 0.299455 0.603664i
\(869\) 23.5601 29.5434i 0.799222 1.00219i
\(870\) 2.57189 + 1.90108i 0.0871954 + 0.0644527i
\(871\) −1.78240 + 2.23506i −0.0603945 + 0.0757323i
\(872\) 20.0934 + 20.1827i 0.680449 + 0.683474i
\(873\) 4.98646 3.97657i 0.168766 0.134586i
\(874\) −22.6537 + 19.4660i −0.766274 + 0.658447i
\(875\) 28.0733 10.6883i 0.949051 0.361332i
\(876\) 8.99385 22.8167i 0.303874 0.770905i
\(877\) −4.85010 2.33569i −0.163776 0.0788705i 0.350200 0.936675i \(-0.386114\pi\)
−0.513976 + 0.857805i \(0.671828\pi\)
\(878\) 4.14696 21.8288i 0.139953 0.736688i
\(879\) 3.40211 7.06456i 0.114750 0.238282i
\(880\) 16.8905 + 15.7653i 0.569380 + 0.531449i
\(881\) 49.1224i 1.65497i −0.561485 0.827487i \(-0.689770\pi\)
0.561485 0.827487i \(-0.310230\pi\)
\(882\) −9.81158 1.31636i −0.330373 0.0443243i
\(883\) 34.5314i 1.16207i −0.813877 0.581037i \(-0.802647\pi\)
0.813877 0.581037i \(-0.197353\pi\)
\(884\) 0.108107 0.00794076i 0.00363602 0.000267077i
\(885\) 1.11522 2.31577i 0.0374876 0.0778439i
\(886\) 0.943898 + 0.179318i 0.0317109 + 0.00602431i
\(887\) −6.03264 2.90517i −0.202556 0.0975460i 0.329856 0.944031i \(-0.393000\pi\)
−0.532412 + 0.846485i \(0.678714\pi\)
\(888\) −14.7687 14.8343i −0.495604 0.497807i
\(889\) 8.58406 + 0.731531i 0.287900 + 0.0245348i
\(890\) −12.0868 14.0662i −0.405152 0.471500i
\(891\) −3.17064 + 2.52850i −0.106220 + 0.0847079i
\(892\) 18.0102 + 7.09923i 0.603026 + 0.237700i
\(893\) 6.61573 8.29587i 0.221387 0.277611i
\(894\) 5.10049 6.90023i 0.170586 0.230778i
\(895\) −15.4881 + 19.4215i −0.517710 + 0.649188i
\(896\) −27.6167 + 11.5465i −0.922608 + 0.385740i
\(897\) −0.480376 0.602372i −0.0160393 0.0201126i
\(898\) 14.8190 0.543517i 0.494516 0.0181374i
\(899\) 1.32558 5.80774i 0.0442105 0.193699i
\(900\) 4.03553 + 4.36219i 0.134518 + 0.145406i
\(901\) 2.36339i 0.0787360i
\(902\) 7.58217 10.2576i 0.252459 0.341541i
\(903\) 2.02001 + 14.3983i 0.0672217 + 0.479145i
\(904\) −46.8216 + 29.2753i −1.55726 + 0.973682i
\(905\) −2.35154 10.3028i −0.0781677 0.342475i
\(906\) −20.7766 + 5.55063i −0.690258 + 0.184407i
\(907\) −28.9877 + 23.1169i −0.962520 + 0.767584i −0.972629 0.232365i \(-0.925354\pi\)
0.0101090 + 0.999949i \(0.496782\pi\)
\(908\) −30.4530 + 44.5247i −1.01062 + 1.47761i
\(909\) 11.5667 2.64003i 0.383645 0.0875644i
\(910\) −0.723799 + 1.33392i −0.0239937 + 0.0442190i
\(911\) −24.0880 5.49794i −0.798072 0.182155i −0.196008 0.980602i \(-0.562798\pi\)
−0.602064 + 0.798448i \(0.705655\pi\)
\(912\) −2.42549 + 31.1303i −0.0803160 + 1.03083i
\(913\) 22.9200i 0.758542i
\(914\) −15.3832 + 20.8113i −0.508832 + 0.688377i
\(915\) 8.85582 4.26474i 0.292764 0.140988i
\(916\) 37.4029 + 5.69415i 1.23583 + 0.188140i
\(917\) −35.0111 + 23.3499i −1.15617 + 0.771081i
\(918\) −0.125595 0.238062i −0.00414524 0.00785723i
\(919\) 2.44672 + 0.558449i 0.0807100 + 0.0184215i 0.262685 0.964882i \(-0.415392\pi\)
−0.181975 + 0.983303i \(0.558249\pi\)
\(920\) 10.2800 + 3.62274i 0.338922 + 0.119438i
\(921\) −8.24179 + 3.96904i −0.271576 + 0.130784i
\(922\) 34.3835 9.18579i 1.13236 0.302518i
\(923\) −3.22322 1.55222i −0.106093 0.0510919i
\(924\) −21.4577 0.250916i −0.705906 0.00825452i
\(925\) −19.8121 + 9.54101i −0.651418 + 0.313707i
\(926\) −22.0801 + 18.9731i −0.725597 + 0.623494i
\(927\) 2.36622 + 10.3671i 0.0777169 + 0.340500i
\(928\) −7.24636 + 5.30680i −0.237874 + 0.174204i
\(929\) −0.673074 0.536759i −0.0220829 0.0176105i 0.612386 0.790559i \(-0.290210\pi\)
−0.634469 + 0.772948i \(0.718781\pi\)
\(930\) −3.02727 + 6.92461i −0.0992682 + 0.227067i
\(931\) −52.5336 + 15.0364i −1.72172 + 0.492797i
\(932\) 19.8836 + 21.4931i 0.651309 + 0.704029i
\(933\) −13.7476 + 17.2390i −0.450077 + 0.564378i
\(934\) −1.94098 2.25884i −0.0635109 0.0739114i
\(935\) −1.07180 + 0.244631i −0.0350516 + 0.00800030i
\(936\) −0.800184 0.0919568i −0.0261548 0.00300570i
\(937\) −10.5806 21.9709i −0.345654 0.717759i 0.653581 0.756857i \(-0.273266\pi\)
−0.999235 + 0.0390979i \(0.987552\pi\)
\(938\) 21.9726 + 30.4647i 0.717431 + 0.994708i
\(939\) −12.7750 + 26.5275i −0.416896 + 0.865694i
\(940\) −3.82803 0.582773i −0.124857 0.0190080i
\(941\) 3.15781 + 6.55727i 0.102942 + 0.213761i 0.946078 0.323940i \(-0.105007\pi\)
−0.843136 + 0.537700i \(0.819293\pi\)
\(942\) 0.0288217 + 0.0546311i 0.000939063 + 0.00177998i
\(943\) 1.33901 5.86659i 0.0436042 0.191042i
\(944\) 5.27686 + 4.92533i 0.171747 + 0.160306i
\(945\) 3.75481 + 0.319984i 0.122144 + 0.0104091i
\(946\) 8.13466 + 30.4490i 0.264481 + 0.989982i
\(947\) −0.727197 1.51004i −0.0236307 0.0490697i 0.888819 0.458258i \(-0.151526\pi\)
−0.912450 + 0.409188i \(0.865812\pi\)
\(948\) −9.29395 16.1527i −0.301854 0.524615i
\(949\) 3.49203 0.113356
\(950\) 30.0552 + 13.1394i 0.975118 + 0.426298i
\(951\) −0.375333 + 1.64444i −0.0121710 + 0.0533247i
\(952\) 0.282165 1.39604i 0.00914502 0.0452458i
\(953\) 2.23741 + 9.80271i 0.0724767 + 0.317541i 0.998151 0.0607798i \(-0.0193587\pi\)
−0.925675 + 0.378321i \(0.876502\pi\)
\(954\) 3.27758 17.2526i 0.106116 0.558574i
\(955\) 5.56854 + 6.98273i 0.180194 + 0.225956i
\(956\) 22.4831 + 3.42279i 0.727156 + 0.110701i
\(957\) −6.27758 + 1.43282i −0.202925 + 0.0463164i
\(958\) −4.78451 + 25.1848i −0.154581 + 0.813685i
\(959\) 20.0610 13.3793i 0.647805 0.432040i
\(960\) 10.2880 4.89836i 0.332045 0.158094i
\(961\) −16.9234 −0.545917
\(962\) 1.19389 2.73091i 0.0384925 0.0880480i
\(963\) −2.39541 0.546738i −0.0771911 0.0176184i
\(964\) −1.40570 + 3.56616i −0.0452746 + 0.114858i
\(965\) −21.5433 + 17.1802i −0.693504 + 0.553051i
\(966\) −9.32241 + 3.94635i −0.299944 + 0.126972i
\(967\) 23.8925 + 19.0536i 0.768330 + 0.612723i 0.927196 0.374578i \(-0.122212\pi\)
−0.158866 + 0.987300i \(0.550784\pi\)
\(968\) −15.3113 + 1.69079i −0.492123 + 0.0543439i
\(969\) −1.16158 0.926327i −0.0373153 0.0297579i
\(970\) −12.8384 + 0.470876i −0.412218 + 0.0151189i
\(971\) 22.1482 + 27.7730i 0.710770 + 0.891277i 0.997776 0.0666514i \(-0.0212316\pi\)
−0.287006 + 0.957929i \(0.592660\pi\)
\(972\) 0.586684 + 1.91202i 0.0188179 + 0.0613279i
\(973\) −44.8523 14.3384i −1.43790 0.459669i
\(974\) −0.460327 12.5508i −0.0147498 0.402154i
\(975\) −0.367123 + 0.762339i −0.0117574 + 0.0244144i
\(976\) 4.03340 + 27.3075i 0.129106 + 0.874092i
\(977\) 7.28286 + 3.50724i 0.232999 + 0.112207i 0.546741 0.837302i \(-0.315868\pi\)
−0.313742 + 0.949508i \(0.601583\pi\)
\(978\) −4.32231 8.19287i −0.138212 0.261979i
\(979\) 37.3384 1.19334
\(980\) 14.3169 + 13.8800i 0.457336 + 0.443381i
\(981\) 10.0691 0.321480
\(982\) −18.9742 35.9652i −0.605491 1.14770i
\(983\) 49.1980 + 23.6925i 1.56917 + 0.755673i 0.997880 0.0650739i \(-0.0207283\pi\)
0.571291 + 0.820747i \(0.306443\pi\)
\(984\) −3.33504 5.33391i −0.106317 0.170039i
\(985\) −4.92241 + 10.2215i −0.156841 + 0.325684i
\(986\) −0.0156639 0.427077i −0.000498842 0.0136009i
\(987\) 2.99197 1.99543i 0.0952354 0.0635152i
\(988\) −4.25033 + 1.30417i −0.135221 + 0.0414913i
\(989\) 9.27005 + 11.6243i 0.294770 + 0.369630i
\(990\) 8.16332 0.299407i 0.259447 0.00951577i
\(991\) −19.2895 15.3829i −0.612751 0.488652i 0.267248 0.963628i \(-0.413886\pi\)
−0.879999 + 0.474975i \(0.842457\pi\)
\(992\) −16.0358 13.9034i −0.509136 0.441433i
\(993\) 16.8357 + 13.4260i 0.534265 + 0.426062i
\(994\) −31.0496 + 35.2909i −0.984833 + 1.11936i
\(995\) 19.3122 15.4009i 0.612237 0.488242i
\(996\) 10.5160 + 4.14517i 0.333212 + 0.131345i
\(997\) −41.4478 9.46018i −1.31266 0.299607i −0.491789 0.870714i \(-0.663657\pi\)
−0.820875 + 0.571107i \(0.806514\pi\)
\(998\) 10.1470 23.2104i 0.321199 0.734713i
\(999\) −7.40076 −0.234150
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 588.2.x.b.55.5 yes 168
4.3 odd 2 588.2.x.a.55.12 168
49.41 odd 14 588.2.x.a.139.12 yes 168
196.139 even 14 inner 588.2.x.b.139.5 yes 168
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
588.2.x.a.55.12 168 4.3 odd 2
588.2.x.a.139.12 yes 168 49.41 odd 14
588.2.x.b.55.5 yes 168 1.1 even 1 trivial
588.2.x.b.139.5 yes 168 196.139 even 14 inner