Properties

Label 207.2.o.a.11.16
Level $207$
Weight $2$
Character 207.11
Analytic conductor $1.653$
Analytic rank $0$
Dimension $440$
CM no
Inner twists $4$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [207,2,Mod(5,207)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(207, base_ring=CyclotomicField(66))
 
chi = DirichletCharacter(H, H._module([55, 3]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("207.5");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 207 = 3^{2} \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 207.o (of order \(66\), degree \(20\), 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: \(1.65290332184\)
Analytic rank: \(0\)
Dimension: \(440\)
Relative dimension: \(22\) over \(\Q(\zeta_{66})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{66}]$

Embedding invariants

Embedding label 11.16
Character \(\chi\) \(=\) 207.11
Dual form 207.2.o.a.113.16

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(1.15577 - 0.0550561i) q^{2} +(1.68053 + 0.419325i) q^{3} +(-0.658169 + 0.0628475i) q^{4} +(1.35993 + 1.29669i) q^{5} +(1.96539 + 0.392121i) q^{6} +(-0.328461 - 1.70422i) q^{7} +(-3.04784 + 0.438213i) q^{8} +(2.64833 + 1.40937i) q^{9} +O(q^{10})\) \(q+(1.15577 - 0.0550561i) q^{2} +(1.68053 + 0.419325i) q^{3} +(-0.658169 + 0.0628475i) q^{4} +(1.35993 + 1.29669i) q^{5} +(1.96539 + 0.392121i) q^{6} +(-0.328461 - 1.70422i) q^{7} +(-3.04784 + 0.438213i) q^{8} +(2.64833 + 1.40937i) q^{9} +(1.64316 + 1.42381i) q^{10} +(1.28597 - 0.662964i) q^{11} +(-1.13242 - 0.170370i) q^{12} +(-3.21393 - 0.619434i) q^{13} +(-0.473453 - 1.95160i) q^{14} +(1.74167 + 2.74938i) q^{15} +(-2.20005 + 0.424025i) q^{16} +(-0.539040 - 1.18033i) q^{17} +(3.13846 + 1.48311i) q^{18} +(0.474253 + 0.216584i) q^{19} +(-0.976560 - 0.767975i) q^{20} +(0.162634 - 3.00171i) q^{21} +(1.44979 - 0.837035i) q^{22} +(-4.56694 + 1.46392i) q^{23} +(-5.30573 - 0.541608i) q^{24} +(-0.0699058 - 1.46750i) q^{25} +(-3.74867 - 0.538977i) q^{26} +(3.85960 + 3.47900i) q^{27} +(0.323289 + 1.10102i) q^{28} +(0.911812 - 9.54893i) q^{29} +(2.16434 + 3.08176i) q^{30} +(-4.12585 + 3.24461i) q^{31} +(3.46536 - 0.840688i) q^{32} +(2.43910 - 0.574888i) q^{33} +(-0.687991 - 1.33452i) q^{34} +(1.76316 - 2.74353i) q^{35} +(-1.83163 - 0.761165i) q^{36} +(-1.84227 + 6.27421i) q^{37} +(0.560052 + 0.224211i) q^{38} +(-5.14134 - 2.38865i) q^{39} +(-4.71309 - 3.35617i) q^{40} +(3.29867 - 3.45954i) q^{41} +(0.0227052 - 3.47824i) q^{42} +(-6.23549 + 7.92908i) q^{43} +(-0.804721 + 0.517162i) q^{44} +(1.77403 + 5.35073i) q^{45} +(-5.19774 + 1.94339i) q^{46} +(-0.800711 - 0.462291i) q^{47} +(-3.87504 - 0.209952i) q^{48} +(3.70211 - 1.48210i) q^{49} +(-0.161590 - 1.69225i) q^{50} +(-0.410927 - 2.20961i) q^{51} +(2.15424 + 0.205705i) q^{52} +(6.01642 + 6.94332i) q^{53} +(4.65236 + 3.80843i) q^{54} +(2.60850 + 0.765923i) q^{55} +(1.74791 + 5.05024i) q^{56} +(0.706176 + 0.562842i) q^{57} +(0.528118 - 11.0866i) q^{58} +(1.52043 - 7.88872i) q^{59} +(-1.31910 - 1.70010i) q^{60} +(-1.99225 + 4.97639i) q^{61} +(-4.58990 + 3.97717i) q^{62} +(1.53200 - 4.97626i) q^{63} +(8.25844 - 2.42490i) q^{64} +(-3.56751 - 5.00987i) q^{65} +(2.78739 - 0.798726i) q^{66} +(0.990584 - 1.92146i) q^{67} +(0.428960 + 0.742981i) q^{68} +(-8.28872 + 0.545120i) q^{69} +(1.88676 - 3.26797i) q^{70} +(2.73794 + 4.26031i) q^{71} +(-8.68930 - 3.13501i) q^{72} +(-2.08929 + 4.57490i) q^{73} +(-1.78381 + 7.35297i) q^{74} +(0.497883 - 2.49549i) q^{75} +(-0.325751 - 0.112743i) q^{76} +(-1.55222 - 1.97381i) q^{77} +(-6.07372 - 2.47767i) q^{78} +(-12.2233 + 4.23053i) q^{79} +(-3.54175 - 2.27614i) q^{80} +(5.02733 + 7.46498i) q^{81} +(3.62203 - 4.18005i) q^{82} +(1.97130 - 1.87963i) q^{83} +(0.0816093 + 1.98585i) q^{84} +(0.797471 - 2.30414i) q^{85} +(-6.77026 + 9.50750i) q^{86} +(5.53643 - 15.6649i) q^{87} +(-3.62891 + 2.58414i) q^{88} +(-0.261218 + 1.81681i) q^{89} +(2.34496 + 6.08655i) q^{90} +5.68069i q^{91} +(2.91382 - 1.25053i) q^{92} +(-8.29414 + 3.72257i) q^{93} +(-0.950890 - 0.490218i) q^{94} +(0.364109 + 0.909501i) q^{95} +(6.17615 + 0.0403165i) q^{96} +(11.1861 + 2.71372i) q^{97} +(4.19719 - 1.91679i) q^{98} +(4.34004 + 0.0566640i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 440 q - 27 q^{2} - 16 q^{3} - 29 q^{4} - 33 q^{5} - 25 q^{6} - 11 q^{7} - 16 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 440 q - 27 q^{2} - 16 q^{3} - 29 q^{4} - 33 q^{5} - 25 q^{6} - 11 q^{7} - 16 q^{9} - 44 q^{10} - 33 q^{11} - 22 q^{12} - 9 q^{13} - 33 q^{14} + 3 q^{16} - 39 q^{18} - 44 q^{19} - 33 q^{20} - 55 q^{21} - 27 q^{23} + 52 q^{24} + 11 q^{25} - 79 q^{27} - 44 q^{28} + 27 q^{29} - 66 q^{30} - 3 q^{31} - 33 q^{32} - 11 q^{34} + 23 q^{36} - 44 q^{37} - 33 q^{38} - 40 q^{39} - 77 q^{40} + 9 q^{41} - 22 q^{42} - 11 q^{43} - 36 q^{46} - 120 q^{47} - 56 q^{48} + 35 q^{49} - 3 q^{50} - 22 q^{51} - 38 q^{52} + 42 q^{54} - 44 q^{55} + 165 q^{56} + 11 q^{57} - 10 q^{58} - 9 q^{59} + 88 q^{60} - 11 q^{61} + 33 q^{63} - 22 q^{64} + 198 q^{65} + 33 q^{66} - 11 q^{67} + 3 q^{69} - 70 q^{70} + 14 q^{72} - 36 q^{73} + 231 q^{74} - 13 q^{75} - 11 q^{76} + 39 q^{77} + 3 q^{78} - 11 q^{79} + 172 q^{81} - 10 q^{82} + 66 q^{83} - 110 q^{84} + q^{85} - 33 q^{86} - 196 q^{87} - 99 q^{88} + 418 q^{90} + 63 q^{92} - 188 q^{93} - 42 q^{94} - 93 q^{95} - 82 q^{96} + 22 q^{97} + 242 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/207\mathbb{Z}\right)^\times\).

\(n\) \(28\) \(47\)
\(\chi(n)\) \(e\left(\frac{9}{22}\right)\) \(e\left(\frac{1}{6}\right)\)

Coefficient data

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



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.15577 0.0550561i 0.817253 0.0389306i 0.365208 0.930926i \(-0.380998\pi\)
0.452045 + 0.891995i \(0.350695\pi\)
\(3\) 1.68053 + 0.419325i 0.970252 + 0.242098i
\(4\) −0.658169 + 0.0628475i −0.329085 + 0.0314238i
\(5\) 1.35993 + 1.29669i 0.608181 + 0.579899i 0.930300 0.366800i \(-0.119547\pi\)
−0.322119 + 0.946699i \(0.604395\pi\)
\(6\) 1.96539 + 0.392121i 0.802367 + 0.160083i
\(7\) −0.328461 1.70422i −0.124147 0.644133i −0.989681 0.143285i \(-0.954234\pi\)
0.865535 0.500848i \(-0.166979\pi\)
\(8\) −3.04784 + 0.438213i −1.07757 + 0.154932i
\(9\) 2.64833 + 1.40937i 0.882778 + 0.469791i
\(10\) 1.64316 + 1.42381i 0.519613 + 0.450248i
\(11\) 1.28597 0.662964i 0.387735 0.199891i −0.253327 0.967381i \(-0.581525\pi\)
0.641061 + 0.767490i \(0.278494\pi\)
\(12\) −1.13242 0.170370i −0.326903 0.0491816i
\(13\) −3.21393 0.619434i −0.891383 0.171800i −0.277058 0.960853i \(-0.589359\pi\)
−0.614325 + 0.789053i \(0.710572\pi\)
\(14\) −0.473453 1.95160i −0.126536 0.521587i
\(15\) 1.74167 + 2.74938i 0.449696 + 0.709887i
\(16\) −2.20005 + 0.424025i −0.550012 + 0.106006i
\(17\) −0.539040 1.18033i −0.130736 0.286273i 0.832932 0.553376i \(-0.186661\pi\)
−0.963668 + 0.267103i \(0.913933\pi\)
\(18\) 3.13846 + 1.48311i 0.739742 + 0.349571i
\(19\) 0.474253 + 0.216584i 0.108801 + 0.0496878i 0.469072 0.883160i \(-0.344588\pi\)
−0.360271 + 0.932848i \(0.617316\pi\)
\(20\) −0.976560 0.767975i −0.218365 0.171725i
\(21\) 0.162634 3.00171i 0.0354897 0.655027i
\(22\) 1.44979 0.837035i 0.309096 0.178456i
\(23\) −4.56694 + 1.46392i −0.952273 + 0.305248i
\(24\) −5.30573 0.541608i −1.08303 0.110555i
\(25\) −0.0699058 1.46750i −0.0139812 0.293501i
\(26\) −3.74867 0.538977i −0.735174 0.105702i
\(27\) 3.85960 + 3.47900i 0.742781 + 0.669534i
\(28\) 0.323289 + 1.10102i 0.0610958 + 0.208073i
\(29\) 0.911812 9.54893i 0.169319 1.77319i −0.368013 0.929821i \(-0.619962\pi\)
0.537332 0.843371i \(-0.319432\pi\)
\(30\) 2.16434 + 3.08176i 0.395152 + 0.562651i
\(31\) −4.12585 + 3.24461i −0.741025 + 0.582748i −0.915693 0.401879i \(-0.868357\pi\)
0.174668 + 0.984627i \(0.444115\pi\)
\(32\) 3.46536 0.840688i 0.612595 0.148614i
\(33\) 2.43910 0.574888i 0.424594 0.100075i
\(34\) −0.687991 1.33452i −0.117989 0.228868i
\(35\) 1.76316 2.74353i 0.298029 0.463742i
\(36\) −1.83163 0.761165i −0.305271 0.126861i
\(37\) −1.84227 + 6.27421i −0.302868 + 1.03147i 0.657666 + 0.753310i \(0.271544\pi\)
−0.960534 + 0.278163i \(0.910274\pi\)
\(38\) 0.560052 + 0.224211i 0.0908525 + 0.0363719i
\(39\) −5.14134 2.38865i −0.823274 0.382491i
\(40\) −4.71309 3.35617i −0.745205 0.530658i
\(41\) 3.29867 3.45954i 0.515165 0.540290i −0.413843 0.910348i \(-0.635814\pi\)
0.929009 + 0.370058i \(0.120662\pi\)
\(42\) 0.0227052 3.47824i 0.00350349 0.536705i
\(43\) −6.23549 + 7.92908i −0.950904 + 1.20917i 0.0268972 + 0.999638i \(0.491437\pi\)
−0.977801 + 0.209535i \(0.932805\pi\)
\(44\) −0.804721 + 0.517162i −0.121316 + 0.0779652i
\(45\) 1.77403 + 5.35073i 0.264457 + 0.797640i
\(46\) −5.19774 + 1.94339i −0.766365 + 0.286538i
\(47\) −0.800711 0.462291i −0.116796 0.0674320i 0.440464 0.897770i \(-0.354814\pi\)
−0.557260 + 0.830338i \(0.688147\pi\)
\(48\) −3.87504 0.209952i −0.559314 0.0303039i
\(49\) 3.70211 1.48210i 0.528873 0.211729i
\(50\) −0.161590 1.69225i −0.0228523 0.239320i
\(51\) −0.410927 2.20961i −0.0575413 0.309407i
\(52\) 2.15424 + 0.205705i 0.298739 + 0.0285261i
\(53\) 6.01642 + 6.94332i 0.826419 + 0.953739i 0.999514 0.0311666i \(-0.00992224\pi\)
−0.173095 + 0.984905i \(0.555377\pi\)
\(54\) 4.65236 + 3.80843i 0.633106 + 0.518262i
\(55\) 2.60850 + 0.765923i 0.351729 + 0.103277i
\(56\) 1.74791 + 5.05024i 0.233574 + 0.674867i
\(57\) 0.706176 + 0.562842i 0.0935352 + 0.0745502i
\(58\) 0.528118 11.0866i 0.0693454 1.45574i
\(59\) 1.52043 7.88872i 0.197943 1.02702i −0.737981 0.674821i \(-0.764221\pi\)
0.935924 0.352203i \(-0.114567\pi\)
\(60\) −1.31910 1.70010i −0.170295 0.219482i
\(61\) −1.99225 + 4.97639i −0.255081 + 0.637162i −0.999534 0.0305128i \(-0.990286\pi\)
0.744453 + 0.667675i \(0.232710\pi\)
\(62\) −4.58990 + 3.97717i −0.582918 + 0.505101i
\(63\) 1.53200 4.97626i 0.193014 0.626949i
\(64\) 8.25844 2.42490i 1.03231 0.303112i
\(65\) −3.56751 5.00987i −0.442495 0.621397i
\(66\) 2.78739 0.798726i 0.343104 0.0983164i
\(67\) 0.990584 1.92146i 0.121019 0.234744i −0.820542 0.571586i \(-0.806328\pi\)
0.941561 + 0.336842i \(0.109359\pi\)
\(68\) 0.428960 + 0.742981i 0.0520191 + 0.0900997i
\(69\) −8.28872 + 0.545120i −0.997844 + 0.0656247i
\(70\) 1.88676 3.26797i 0.225511 0.390597i
\(71\) 2.73794 + 4.26031i 0.324933 + 0.505606i 0.964837 0.262849i \(-0.0846621\pi\)
−0.639904 + 0.768455i \(0.721026\pi\)
\(72\) −8.68930 3.13501i −1.02404 0.369465i
\(73\) −2.08929 + 4.57490i −0.244533 + 0.535452i −0.991607 0.129289i \(-0.958731\pi\)
0.747074 + 0.664741i \(0.231458\pi\)
\(74\) −1.78381 + 7.35297i −0.207364 + 0.854766i
\(75\) 0.497883 2.49549i 0.0574905 0.288154i
\(76\) −0.325751 0.112743i −0.0373662 0.0129326i
\(77\) −1.55222 1.97381i −0.176892 0.224937i
\(78\) −6.07372 2.47767i −0.687714 0.280541i
\(79\) −12.2233 + 4.23053i −1.37523 + 0.475972i −0.911972 0.410252i \(-0.865441\pi\)
−0.463257 + 0.886224i \(0.653319\pi\)
\(80\) −3.54175 2.27614i −0.395979 0.254481i
\(81\) 5.02733 + 7.46498i 0.558592 + 0.829442i
\(82\) 3.62203 4.18005i 0.399987 0.461609i
\(83\) 1.97130 1.87963i 0.216378 0.206316i −0.574136 0.818760i \(-0.694662\pi\)
0.790514 + 0.612444i \(0.209813\pi\)
\(84\) 0.0816093 + 1.98585i 0.00890431 + 0.216675i
\(85\) 0.797471 2.30414i 0.0864979 0.249919i
\(86\) −6.77026 + 9.50750i −0.730056 + 1.02522i
\(87\) 5.53643 15.6649i 0.593568 1.67945i
\(88\) −3.62891 + 2.58414i −0.386843 + 0.275470i
\(89\) −0.261218 + 1.81681i −0.0276891 + 0.192582i −0.998971 0.0453489i \(-0.985560\pi\)
0.971282 + 0.237931i \(0.0764691\pi\)
\(90\) 2.34496 + 6.08655i 0.247181 + 0.641578i
\(91\) 5.68069i 0.595498i
\(92\) 2.91382 1.25053i 0.303786 0.130376i
\(93\) −8.29414 + 3.72257i −0.860063 + 0.386012i
\(94\) −0.950890 0.490218i −0.0980768 0.0505621i
\(95\) 0.364109 + 0.909501i 0.0373568 + 0.0933129i
\(96\) 6.17615 + 0.0403165i 0.630351 + 0.00411479i
\(97\) 11.1861 + 2.71372i 1.13578 + 0.275537i 0.759206 0.650851i \(-0.225588\pi\)
0.376572 + 0.926387i \(0.377103\pi\)
\(98\) 4.19719 1.91679i 0.423980 0.193625i
\(99\) 4.34004 + 0.0566640i 0.436191 + 0.00569495i
\(100\) 0.138239 + 0.961472i 0.0138239 + 0.0961472i
\(101\) −0.281173 0.294886i −0.0279778 0.0293422i 0.709596 0.704608i \(-0.248877\pi\)
−0.737574 + 0.675266i \(0.764029\pi\)
\(102\) −0.596590 2.53118i −0.0590712 0.250624i
\(103\) 17.2986 + 0.824032i 1.70448 + 0.0811943i 0.877057 0.480387i \(-0.159504\pi\)
0.827422 + 0.561581i \(0.189807\pi\)
\(104\) 10.0670 + 0.479549i 0.987148 + 0.0470237i
\(105\) 4.11347 3.87124i 0.401434 0.377794i
\(106\) 7.33588 + 7.69365i 0.712523 + 0.747273i
\(107\) −1.06272 7.39141i −0.102737 0.714554i −0.974461 0.224556i \(-0.927907\pi\)
0.871724 0.489998i \(-0.163002\pi\)
\(108\) −2.75892 2.04720i −0.265477 0.196992i
\(109\) 17.8758 8.16361i 1.71219 0.781932i 0.715684 0.698424i \(-0.246115\pi\)
0.996507 0.0835078i \(-0.0266124\pi\)
\(110\) 3.05699 + 0.741618i 0.291473 + 0.0707105i
\(111\) −5.72692 + 9.77145i −0.543575 + 0.927465i
\(112\) 1.44526 + 3.61008i 0.136564 + 0.341121i
\(113\) 10.0367 + 5.17427i 0.944172 + 0.486754i 0.860337 0.509725i \(-0.170253\pi\)
0.0838345 + 0.996480i \(0.473283\pi\)
\(114\) 0.847165 + 0.611637i 0.0793443 + 0.0572850i
\(115\) −8.10899 3.93109i −0.756167 0.366576i
\(116\) 6.34211i 0.588851i
\(117\) −7.63853 6.17009i −0.706183 0.570425i
\(118\) 1.32294 9.20126i 0.121787 0.847045i
\(119\) −1.83449 + 1.30633i −0.168167 + 0.119751i
\(120\) −6.51314 7.61645i −0.594565 0.695284i
\(121\) −5.16643 + 7.25523i −0.469675 + 0.659566i
\(122\) −2.02860 + 5.86125i −0.183661 + 0.530653i
\(123\) 6.99417 4.43064i 0.630643 0.399497i
\(124\) 2.51159 2.39480i 0.225548 0.215059i
\(125\) 7.96042 9.18681i 0.712001 0.821694i
\(126\) 1.49667 5.83576i 0.133334 0.519891i
\(127\) −3.07414 1.97563i −0.272786 0.175309i 0.397095 0.917778i \(-0.370018\pi\)
−0.669881 + 0.742469i \(0.733655\pi\)
\(128\) 2.67184 0.924733i 0.236159 0.0817356i
\(129\) −13.8038 + 10.7103i −1.21535 + 0.942991i
\(130\) −4.39905 5.59384i −0.385822 0.490612i
\(131\) 5.33339 + 1.84590i 0.465981 + 0.161277i 0.549962 0.835190i \(-0.314642\pi\)
−0.0839811 + 0.996467i \(0.526764\pi\)
\(132\) −1.56921 + 0.531665i −0.136582 + 0.0462755i
\(133\) 0.213333 0.879370i 0.0184983 0.0762510i
\(134\) 1.03910 2.27531i 0.0897645 0.196557i
\(135\) 0.737606 + 9.73593i 0.0634830 + 0.837936i
\(136\) 2.16014 + 3.36125i 0.185231 + 0.288225i
\(137\) −8.34593 + 14.4556i −0.713041 + 1.23502i 0.250669 + 0.968073i \(0.419349\pi\)
−0.963710 + 0.266950i \(0.913984\pi\)
\(138\) −9.54984 + 1.08638i −0.812937 + 0.0924787i
\(139\) 0.423057 + 0.732756i 0.0358832 + 0.0621515i 0.883409 0.468602i \(-0.155242\pi\)
−0.847526 + 0.530754i \(0.821909\pi\)
\(140\) −0.988034 + 1.91652i −0.0835042 + 0.161975i
\(141\) −1.15177 1.11265i −0.0969961 0.0937020i
\(142\) 3.39898 + 4.77320i 0.285236 + 0.400558i
\(143\) −4.54368 + 1.33414i −0.379961 + 0.111567i
\(144\) −6.42407 1.97773i −0.535339 0.164811i
\(145\) 13.6220 11.8036i 1.13125 0.980232i
\(146\) −2.16286 + 5.40257i −0.179000 + 0.447120i
\(147\) 6.84297 0.938321i 0.564399 0.0773914i
\(148\) 0.818209 4.24527i 0.0672564 0.348959i
\(149\) −0.434759 + 9.12672i −0.0356169 + 0.747690i 0.908461 + 0.417969i \(0.137258\pi\)
−0.944078 + 0.329721i \(0.893045\pi\)
\(150\) 0.438046 2.91163i 0.0357663 0.237733i
\(151\) −5.71783 16.5206i −0.465310 1.34443i −0.896851 0.442332i \(-0.854151\pi\)
0.431541 0.902093i \(-0.357970\pi\)
\(152\) −1.54036 0.452290i −0.124940 0.0366856i
\(153\) 0.235973 3.88562i 0.0190773 0.314134i
\(154\) −1.90269 2.19582i −0.153323 0.176944i
\(155\) −9.81814 0.937519i −0.788612 0.0753033i
\(156\) 3.53399 + 1.24902i 0.282946 + 0.100001i
\(157\) −0.595043 6.23157i −0.0474896 0.497334i −0.987658 0.156624i \(-0.949939\pi\)
0.940169 0.340709i \(-0.110667\pi\)
\(158\) −13.8944 + 5.56249i −1.10538 + 0.442528i
\(159\) 7.19924 + 14.1913i 0.570937 + 1.12544i
\(160\) 5.80278 + 3.35023i 0.458750 + 0.264859i
\(161\) 3.99490 + 7.30221i 0.314842 + 0.575495i
\(162\) 6.22144 + 8.35102i 0.488802 + 0.656118i
\(163\) −7.45458 + 4.79077i −0.583888 + 0.375242i −0.798985 0.601351i \(-0.794629\pi\)
0.215098 + 0.976593i \(0.430993\pi\)
\(164\) −1.95366 + 2.48428i −0.152555 + 0.193990i
\(165\) 4.06247 + 2.38096i 0.316263 + 0.185358i
\(166\) 2.17488 2.28095i 0.168804 0.177036i
\(167\) −8.05922 5.73894i −0.623641 0.444093i 0.224054 0.974577i \(-0.428071\pi\)
−0.847695 + 0.530484i \(0.822010\pi\)
\(168\) 0.819707 + 9.22000i 0.0632417 + 0.711339i
\(169\) −2.12316 0.849984i −0.163320 0.0653834i
\(170\) 0.794837 2.70696i 0.0609612 0.207615i
\(171\) 0.950732 + 1.24199i 0.0727043 + 0.0949771i
\(172\) 3.60569 5.61056i 0.274931 0.427801i
\(173\) −0.688046 1.33462i −0.0523112 0.101470i 0.861231 0.508214i \(-0.169694\pi\)
−0.913542 + 0.406745i \(0.866664\pi\)
\(174\) 5.53640 18.4098i 0.419713 1.39564i
\(175\) −2.47798 + 0.601152i −0.187318 + 0.0454428i
\(176\) −2.54808 + 2.00384i −0.192069 + 0.151045i
\(177\) 5.86306 12.6196i 0.440694 0.948551i
\(178\) −0.201882 + 2.11420i −0.0151317 + 0.158466i
\(179\) −3.78038 12.8748i −0.282559 0.962308i −0.971411 0.237406i \(-0.923703\pi\)
0.688851 0.724902i \(-0.258115\pi\)
\(180\) −1.50389 3.41019i −0.112093 0.254181i
\(181\) −16.9894 2.44271i −1.26281 0.181565i −0.521806 0.853064i \(-0.674742\pi\)
−0.741005 + 0.671499i \(0.765651\pi\)
\(182\) 0.312757 + 6.56557i 0.0231831 + 0.486672i
\(183\) −5.43475 + 7.52756i −0.401748 + 0.556453i
\(184\) 13.2778 6.46308i 0.978852 0.476465i
\(185\) −10.6411 + 6.14364i −0.782349 + 0.451689i
\(186\) −9.38118 + 4.75908i −0.687861 + 0.348953i
\(187\) −1.47571 1.16051i −0.107914 0.0848648i
\(188\) 0.556057 + 0.253943i 0.0405546 + 0.0185207i
\(189\) 4.66124 7.72032i 0.339055 0.561570i
\(190\) 0.470901 + 1.03113i 0.0341627 + 0.0748059i
\(191\) −9.75506 + 1.88013i −0.705851 + 0.136042i −0.529530 0.848291i \(-0.677632\pi\)
−0.176321 + 0.984333i \(0.556420\pi\)
\(192\) 14.8953 0.612129i 1.07498 0.0441766i
\(193\) −0.443757 1.82919i −0.0319424 0.131668i 0.953608 0.301051i \(-0.0973376\pi\)
−0.985550 + 0.169383i \(0.945822\pi\)
\(194\) 13.0780 + 2.52058i 0.938945 + 0.180967i
\(195\) −3.89453 9.91516i −0.278893 0.710039i
\(196\) −2.34347 + 1.20814i −0.167391 + 0.0862958i
\(197\) −1.48516 1.28690i −0.105813 0.0916876i 0.600348 0.799739i \(-0.295029\pi\)
−0.706161 + 0.708052i \(0.749574\pi\)
\(198\) 5.01921 0.173455i 0.356700 0.0123269i
\(199\) −24.7090 + 3.55262i −1.75158 + 0.251839i −0.942105 0.335319i \(-0.891156\pi\)
−0.809472 + 0.587158i \(0.800247\pi\)
\(200\) 0.856141 + 4.44208i 0.0605383 + 0.314103i
\(201\) 2.47042 2.81369i 0.174250 0.198463i
\(202\) −0.341207 0.325340i −0.0240072 0.0228908i
\(203\) −16.5729 + 1.58252i −1.16319 + 0.111071i
\(204\) 0.409328 + 1.42847i 0.0286587 + 0.100013i
\(205\) 8.97194 0.427386i 0.626627 0.0298499i
\(206\) 20.0385 1.39615
\(207\) −14.1580 2.55958i −0.984048 0.177903i
\(208\) 7.33345 0.508483
\(209\) 0.753463 0.0358919i 0.0521182 0.00248269i
\(210\) 4.54109 4.70074i 0.313365 0.324382i
\(211\) 6.91945 0.660727i 0.476354 0.0454863i 0.145882 0.989302i \(-0.453398\pi\)
0.330472 + 0.943816i \(0.392792\pi\)
\(212\) −4.39619 4.19176i −0.301932 0.287891i
\(213\) 2.81472 + 8.30765i 0.192861 + 0.569231i
\(214\) −1.63521 8.48426i −0.111780 0.579972i
\(215\) −18.7614 + 2.69749i −1.27952 + 0.183967i
\(216\) −13.2880 8.91211i −0.904134 0.606392i
\(217\) 6.88469 + 5.96562i 0.467363 + 0.404973i
\(218\) 20.2109 10.4194i 1.36885 0.705693i
\(219\) −5.42948 + 6.81215i −0.366890 + 0.460323i
\(220\) −1.76497 0.340170i −0.118994 0.0229342i
\(221\) 1.00130 + 4.12740i 0.0673545 + 0.277639i
\(222\) −6.08103 + 11.6089i −0.408132 + 0.779136i
\(223\) −26.3394 + 5.07651i −1.76382 + 0.339948i −0.965125 0.261789i \(-0.915688\pi\)
−0.798694 + 0.601737i \(0.794476\pi\)
\(224\) −2.57095 5.62960i −0.171779 0.376143i
\(225\) 1.88313 3.98496i 0.125542 0.265664i
\(226\) 11.8850 + 5.42769i 0.790577 + 0.361044i
\(227\) −17.6095 13.8482i −1.16878 0.919140i −0.170971 0.985276i \(-0.554691\pi\)
−0.997811 + 0.0661356i \(0.978933\pi\)
\(228\) −0.500156 0.326064i −0.0331237 0.0215941i
\(229\) 2.06114 1.19000i 0.136204 0.0786372i −0.430350 0.902662i \(-0.641610\pi\)
0.566553 + 0.824025i \(0.308276\pi\)
\(230\) −9.58856 4.09699i −0.632251 0.270147i
\(231\) −1.78088 3.96793i −0.117174 0.261071i
\(232\) 1.40541 + 29.5032i 0.0922696 + 1.93698i
\(233\) 25.3965 + 3.65146i 1.66378 + 0.239215i 0.909009 0.416776i \(-0.136840\pi\)
0.754768 + 0.655991i \(0.227749\pi\)
\(234\) −9.16809 6.71066i −0.599337 0.438690i
\(235\) −0.489464 1.66696i −0.0319291 0.108741i
\(236\) −0.504911 + 5.28767i −0.0328669 + 0.344198i
\(237\) −22.3155 + 1.98397i −1.44955 + 0.128873i
\(238\) −2.04833 + 1.61082i −0.132773 + 0.104414i
\(239\) 14.6256 3.54813i 0.946051 0.229510i 0.267080 0.963674i \(-0.413941\pi\)
0.678971 + 0.734165i \(0.262426\pi\)
\(240\) −4.99755 5.31026i −0.322591 0.342776i
\(241\) −9.12659 17.7031i −0.587895 1.14036i −0.975801 0.218659i \(-0.929832\pi\)
0.387906 0.921699i \(-0.373198\pi\)
\(242\) −5.57176 + 8.66983i −0.358166 + 0.557318i
\(243\) 5.31831 + 14.6532i 0.341169 + 0.940002i
\(244\) 0.998482 3.40052i 0.0639212 0.217696i
\(245\) 6.95645 + 2.78494i 0.444431 + 0.177923i
\(246\) 7.83972 5.50587i 0.499842 0.351042i
\(247\) −1.39006 0.989854i −0.0884471 0.0629829i
\(248\) 11.1531 11.6970i 0.708223 0.742763i
\(249\) 4.10100 2.33215i 0.259890 0.147794i
\(250\) 8.69463 11.0561i 0.549897 0.699250i
\(251\) 5.89738 3.79001i 0.372239 0.239224i −0.341124 0.940018i \(-0.610808\pi\)
0.713363 + 0.700795i \(0.247171\pi\)
\(252\) −0.695573 + 3.37150i −0.0438170 + 0.212385i
\(253\) −4.90243 + 4.91027i −0.308213 + 0.308706i
\(254\) −3.66177 2.11412i −0.229760 0.132652i
\(255\) 2.30636 3.53777i 0.144430 0.221544i
\(256\) −12.9440 + 5.18198i −0.808998 + 0.323874i
\(257\) −2.85609 29.9103i −0.178158 1.86575i −0.436505 0.899702i \(-0.643784\pi\)
0.258347 0.966052i \(-0.416822\pi\)
\(258\) −15.3643 + 13.1387i −0.956541 + 0.817977i
\(259\) 11.2977 + 1.07880i 0.702006 + 0.0670335i
\(260\) 2.66288 + 3.07313i 0.165145 + 0.190587i
\(261\) 15.8728 24.0037i 0.982501 1.48579i
\(262\) 6.26581 + 1.83981i 0.387103 + 0.113664i
\(263\) 7.41686 + 21.4296i 0.457343 + 1.32141i 0.904318 + 0.426859i \(0.140380\pi\)
−0.446975 + 0.894546i \(0.647499\pi\)
\(264\) −7.18208 + 2.82101i −0.442026 + 0.173621i
\(265\) −0.821429 + 17.2439i −0.0504600 + 1.05928i
\(266\) 0.198149 1.02810i 0.0121493 0.0630366i
\(267\) −1.20082 + 2.94367i −0.0734890 + 0.180149i
\(268\) −0.531212 + 1.32690i −0.0324490 + 0.0810536i
\(269\) −9.97359 + 8.64216i −0.608100 + 0.526922i −0.903576 0.428428i \(-0.859067\pi\)
0.295475 + 0.955350i \(0.404522\pi\)
\(270\) 1.38853 + 11.2119i 0.0845030 + 0.682334i
\(271\) −23.2275 + 6.82021i −1.41097 + 0.414298i −0.896436 0.443172i \(-0.853853\pi\)
−0.514533 + 0.857470i \(0.672035\pi\)
\(272\) 1.68640 + 2.36822i 0.102253 + 0.143594i
\(273\) −2.38206 + 9.54654i −0.144169 + 0.577783i
\(274\) −8.85011 + 17.1668i −0.534655 + 1.03709i
\(275\) −1.06280 1.84082i −0.0640892 0.111006i
\(276\) 5.42112 0.879707i 0.326313 0.0529521i
\(277\) 8.67690 15.0288i 0.521345 0.902995i −0.478347 0.878171i \(-0.658764\pi\)
0.999692 0.0248246i \(-0.00790273\pi\)
\(278\) 0.529299 + 0.823606i 0.0317453 + 0.0493966i
\(279\) −15.4995 + 2.77793i −0.927930 + 0.166310i
\(280\) −4.17158 + 9.13449i −0.249300 + 0.545890i
\(281\) 4.36706 18.0012i 0.260517 1.07386i −0.679755 0.733439i \(-0.737914\pi\)
0.940272 0.340425i \(-0.110571\pi\)
\(282\) −1.39243 1.22256i −0.0829183 0.0728022i
\(283\) −9.87814 3.41886i −0.587194 0.203230i 0.0172852 0.999851i \(-0.494498\pi\)
−0.604480 + 0.796621i \(0.706619\pi\)
\(284\) −2.06978 2.63193i −0.122819 0.156177i
\(285\) 0.230518 + 1.68112i 0.0136547 + 0.0995810i
\(286\) −5.17800 + 1.79212i −0.306181 + 0.105970i
\(287\) −6.97929 4.48532i −0.411975 0.264760i
\(288\) 10.3623 + 2.65757i 0.610603 + 0.156599i
\(289\) 10.0300 11.5753i 0.590001 0.680897i
\(290\) 15.0941 14.3922i 0.886356 0.845138i
\(291\) 17.6606 + 9.25110i 1.03528 + 0.542309i
\(292\) 1.08758 3.14237i 0.0636460 0.183893i
\(293\) −4.22002 + 5.92618i −0.246536 + 0.346211i −0.919238 0.393702i \(-0.871194\pi\)
0.672702 + 0.739913i \(0.265134\pi\)
\(294\) 7.85724 1.46123i 0.458244 0.0852207i
\(295\) 12.2969 8.75661i 0.715955 0.509829i
\(296\) 2.86551 19.9301i 0.166555 1.15841i
\(297\) 7.26979 + 1.91511i 0.421836 + 0.111126i
\(298\) 10.5723i 0.612439i
\(299\) 15.5846 1.87601i 0.901281 0.108493i
\(300\) −0.170856 + 1.67375i −0.00986436 + 0.0966337i
\(301\) 15.5610 + 8.02224i 0.896920 + 0.462394i
\(302\) −7.51805 18.7792i −0.432615 1.08062i
\(303\) −0.348865 0.613466i −0.0200418 0.0352427i
\(304\) −1.13522 0.275401i −0.0651092 0.0157953i
\(305\) −9.16218 + 4.18423i −0.524625 + 0.239588i
\(306\) 0.0588031 4.50388i 0.00336155 0.257470i
\(307\) 4.68616 + 32.5929i 0.267453 + 1.86018i 0.472374 + 0.881398i \(0.343397\pi\)
−0.204921 + 0.978778i \(0.565694\pi\)
\(308\) 1.14568 + 1.20155i 0.0652809 + 0.0684647i
\(309\) 28.7251 + 8.63853i 1.63412 + 0.491429i
\(310\) −11.3991 0.543008i −0.647427 0.0308408i
\(311\) 7.47561 + 0.356107i 0.423903 + 0.0201930i 0.258450 0.966025i \(-0.416788\pi\)
0.165453 + 0.986218i \(0.447091\pi\)
\(312\) 16.7167 + 5.02723i 0.946398 + 0.284611i
\(313\) 15.8348 + 16.6070i 0.895035 + 0.938685i 0.998433 0.0559547i \(-0.0178203\pi\)
−0.103399 + 0.994640i \(0.532972\pi\)
\(314\) −1.03082 7.16951i −0.0581725 0.404599i
\(315\) 8.53610 4.78084i 0.480955 0.269370i
\(316\) 7.77913 3.55261i 0.437610 0.199850i
\(317\) 24.5425 + 5.95395i 1.37845 + 0.334407i 0.855431 0.517917i \(-0.173292\pi\)
0.523014 + 0.852324i \(0.324807\pi\)
\(318\) 9.10199 + 16.0055i 0.510414 + 0.897543i
\(319\) −5.15803 12.8841i −0.288794 0.721373i
\(320\) 14.3753 + 7.41097i 0.803602 + 0.414286i
\(321\) 1.31347 12.8671i 0.0733107 0.718170i
\(322\) 5.01921 + 8.21974i 0.279710 + 0.458068i
\(323\) 0.676524i 0.0376428i
\(324\) −3.77799 4.59726i −0.209888 0.255404i
\(325\) −0.684349 + 4.75975i −0.0379608 + 0.264023i
\(326\) −8.35202 + 5.94745i −0.462576 + 0.329399i
\(327\) 33.4640 6.22337i 1.85056 0.344153i
\(328\) −8.53779 + 11.9897i −0.471421 + 0.662018i
\(329\) −0.524841 + 1.51643i −0.0289354 + 0.0836035i
\(330\) 4.82637 + 2.52818i 0.265683 + 0.139172i
\(331\) −4.38965 + 4.18552i −0.241277 + 0.230057i −0.801063 0.598580i \(-0.795732\pi\)
0.559786 + 0.828637i \(0.310883\pi\)
\(332\) −1.17932 + 1.36101i −0.0647235 + 0.0746949i
\(333\) −13.7217 + 14.0197i −0.751942 + 0.768277i
\(334\) −9.63057 6.18919i −0.526961 0.338657i
\(335\) 3.83868 1.32858i 0.209729 0.0725880i
\(336\) 0.914996 + 6.67287i 0.0499171 + 0.364035i
\(337\) 11.8480 + 15.0660i 0.645402 + 0.820695i 0.993144 0.116895i \(-0.0372941\pi\)
−0.347743 + 0.937590i \(0.613052\pi\)
\(338\) −2.50068 0.865494i −0.136019 0.0470767i
\(339\) 14.6972 + 12.9041i 0.798242 + 0.700856i
\(340\) −0.380061 + 1.56663i −0.0206117 + 0.0849627i
\(341\) −3.15467 + 6.90776i −0.170835 + 0.374076i
\(342\) 1.16721 + 1.38311i 0.0631154 + 0.0747900i
\(343\) −10.3101 16.0428i −0.556693 0.866231i
\(344\) 15.5302 26.8990i 0.837330 1.45030i
\(345\) −11.9790 10.0066i −0.644925 0.538737i
\(346\) −0.868703 1.50464i −0.0467017 0.0808898i
\(347\) 12.6165 24.4726i 0.677288 1.31376i −0.260138 0.965571i \(-0.583768\pi\)
0.937426 0.348184i \(-0.113202\pi\)
\(348\) −2.65941 + 10.6581i −0.142559 + 0.571333i
\(349\) −6.56699 9.22204i −0.351523 0.493645i 0.600520 0.799610i \(-0.294960\pi\)
−0.952043 + 0.305965i \(0.901021\pi\)
\(350\) −2.83088 + 0.831222i −0.151317 + 0.0444307i
\(351\) −10.2495 13.5720i −0.547077 0.724421i
\(352\) 3.89901 3.37851i 0.207818 0.180075i
\(353\) −11.9746 + 29.9110i −0.637342 + 1.59200i 0.159082 + 0.987265i \(0.449147\pi\)
−0.796424 + 0.604738i \(0.793278\pi\)
\(354\) 6.08156 14.9082i 0.323231 0.792363i
\(355\) −1.80091 + 9.34400i −0.0955823 + 0.495928i
\(356\) 0.0577436 1.21219i 0.00306040 0.0642458i
\(357\) −3.63068 + 1.42608i −0.192156 + 0.0754761i
\(358\) −5.07809 14.6722i −0.268386 0.775449i
\(359\) 13.0677 + 3.83703i 0.689687 + 0.202511i 0.607752 0.794127i \(-0.292072\pi\)
0.0819357 + 0.996638i \(0.473890\pi\)
\(360\) −7.75172 15.5308i −0.408551 0.818543i
\(361\) −12.2643 14.1538i −0.645492 0.744937i
\(362\) −19.7703 1.88784i −1.03911 0.0992225i
\(363\) −11.7246 + 10.0262i −0.615383 + 0.526238i
\(364\) −0.357017 3.73885i −0.0187128 0.195969i
\(365\) −8.77354 + 3.51240i −0.459228 + 0.183847i
\(366\) −5.86689 + 8.99935i −0.306667 + 0.470403i
\(367\) 25.2677 + 14.5883i 1.31896 + 0.761505i 0.983562 0.180570i \(-0.0577943\pi\)
0.335403 + 0.942075i \(0.391128\pi\)
\(368\) 9.42675 5.15719i 0.491403 0.268837i
\(369\) 13.6118 4.51297i 0.708600 0.234936i
\(370\) −11.9604 + 7.68649i −0.621792 + 0.399602i
\(371\) 9.85676 12.5339i 0.511738 0.650727i
\(372\) 5.22500 2.97135i 0.270903 0.154057i
\(373\) −14.0824 + 14.7691i −0.729157 + 0.764718i −0.979064 0.203552i \(-0.934751\pi\)
0.249907 + 0.968270i \(0.419600\pi\)
\(374\) −1.76947 1.26003i −0.0914972 0.0651549i
\(375\) 17.2299 12.1007i 0.889751 0.624876i
\(376\) 2.64302 + 1.05811i 0.136303 + 0.0545677i
\(377\) −8.84542 + 30.1247i −0.455562 + 1.55150i
\(378\) 4.96228 9.17955i 0.255232 0.472145i
\(379\) −5.20488 + 8.09896i −0.267357 + 0.416015i −0.948811 0.315846i \(-0.897712\pi\)
0.681454 + 0.731861i \(0.261348\pi\)
\(380\) −0.296806 0.575722i −0.0152258 0.0295339i
\(381\) −4.33774 4.60916i −0.222229 0.236134i
\(382\) −11.1711 + 2.71008i −0.571563 + 0.138660i
\(383\) 4.56343 3.58872i 0.233181 0.183375i −0.494731 0.869046i \(-0.664733\pi\)
0.727912 + 0.685671i \(0.240491\pi\)
\(384\) 4.87786 0.433667i 0.248922 0.0221305i
\(385\) 0.448511 4.69702i 0.0228582 0.239382i
\(386\) −0.613590 2.08970i −0.0312309 0.106363i
\(387\) −27.6887 + 12.2107i −1.40750 + 0.620704i
\(388\) −7.53291 1.08307i −0.382425 0.0549845i
\(389\) −0.962602 20.2075i −0.0488059 1.02456i −0.881902 0.471433i \(-0.843737\pi\)
0.833096 0.553128i \(-0.186566\pi\)
\(390\) −5.04707 11.2452i −0.255568 0.569424i
\(391\) 4.18967 + 4.60139i 0.211881 + 0.232703i
\(392\) −10.6340 + 6.13952i −0.537096 + 0.310093i
\(393\) 8.18887 + 5.33852i 0.413074 + 0.269292i
\(394\) −1.78735 1.40559i −0.0900456 0.0708127i
\(395\) −22.1086 10.0966i −1.11240 0.508018i
\(396\) −2.86004 + 0.235466i −0.143723 + 0.0118326i
\(397\) −13.1820 28.8645i −0.661585 1.44867i −0.881038 0.473045i \(-0.843155\pi\)
0.219454 0.975623i \(-0.429573\pi\)
\(398\) −28.3624 + 5.46640i −1.42168 + 0.274006i
\(399\) 0.727253 1.38835i 0.0364082 0.0695043i
\(400\) 0.776054 + 3.19894i 0.0388027 + 0.159947i
\(401\) 19.7425 + 3.80506i 0.985895 + 0.190016i 0.656623 0.754219i \(-0.271984\pi\)
0.329272 + 0.944235i \(0.393197\pi\)
\(402\) 2.70033 3.38800i 0.134680 0.168978i
\(403\) 15.2700 7.87223i 0.760653 0.392144i
\(404\) 0.203592 + 0.176414i 0.0101291 + 0.00877691i
\(405\) −2.84296 + 16.6708i −0.141268 + 0.828378i
\(406\) −19.0674 + 2.74148i −0.946298 + 0.136057i
\(407\) 1.79046 + 9.28980i 0.0887500 + 0.460478i
\(408\) 2.22072 + 6.55447i 0.109942 + 0.324494i
\(409\) 0.204346 + 0.194844i 0.0101043 + 0.00963439i 0.695114 0.718899i \(-0.255354\pi\)
−0.685010 + 0.728534i \(0.740202\pi\)
\(410\) 10.3460 0.987920i 0.510951 0.0487899i
\(411\) −20.0871 + 20.7933i −0.990825 + 1.02566i
\(412\) −11.4372 + 0.544820i −0.563469 + 0.0268413i
\(413\) −13.9435 −0.686114
\(414\) −16.5043 2.17880i −0.811142 0.107082i
\(415\) 5.11814 0.251240
\(416\) −11.6582 + 0.555347i −0.571589 + 0.0272281i
\(417\) 0.403695 + 1.40881i 0.0197690 + 0.0689899i
\(418\) 0.868855 0.0829656i 0.0424971 0.00405798i
\(419\) −16.0907 15.3424i −0.786080 0.749526i 0.186410 0.982472i \(-0.440315\pi\)
−0.972490 + 0.232946i \(0.925163\pi\)
\(420\) −2.46406 + 2.80645i −0.120234 + 0.136941i
\(421\) −6.04394 31.3589i −0.294564 1.52834i −0.763908 0.645326i \(-0.776722\pi\)
0.469344 0.883015i \(-0.344490\pi\)
\(422\) 7.96092 1.14461i 0.387531 0.0557186i
\(423\) −1.46901 2.35280i −0.0714257 0.114397i
\(424\) −21.3797 18.5257i −1.03829 0.899685i
\(425\) −1.69446 + 0.873554i −0.0821933 + 0.0423736i
\(426\) 3.71055 + 9.44677i 0.179777 + 0.457697i
\(427\) 9.13523 + 1.76067i 0.442085 + 0.0852048i
\(428\) 1.16398 + 4.79801i 0.0562633 + 0.231920i
\(429\) −8.19521 + 0.336785i −0.395668 + 0.0162601i
\(430\) −21.5354 + 4.15061i −1.03853 + 0.200160i
\(431\) 8.69310 + 19.0352i 0.418732 + 0.916894i 0.995023 + 0.0996498i \(0.0317723\pi\)
−0.576291 + 0.817245i \(0.695500\pi\)
\(432\) −9.96650 6.01740i −0.479513 0.289512i
\(433\) 21.9694 + 10.0331i 1.05578 + 0.482159i 0.866196 0.499705i \(-0.166558\pi\)
0.189585 + 0.981864i \(0.439286\pi\)
\(434\) 8.28557 + 6.51584i 0.397720 + 0.312770i
\(435\) 27.8417 14.1241i 1.33491 0.677200i
\(436\) −11.2522 + 6.49648i −0.538885 + 0.311125i
\(437\) −2.48295 0.294859i −0.118776 0.0141050i
\(438\) −5.90018 + 8.17221i −0.281921 + 0.390483i
\(439\) 0.139286 + 2.92398i 0.00664778 + 0.139554i 0.999751 + 0.0223114i \(0.00710252\pi\)
−0.993103 + 0.117243i \(0.962594\pi\)
\(440\) −8.28591 1.19133i −0.395015 0.0567946i
\(441\) 11.8932 + 1.29256i 0.566345 + 0.0615504i
\(442\) 1.38451 + 4.71520i 0.0658543 + 0.224279i
\(443\) 1.13435 11.8795i 0.0538946 0.564410i −0.927686 0.373361i \(-0.878205\pi\)
0.981581 0.191048i \(-0.0611888\pi\)
\(444\) 3.15517 6.79119i 0.149738 0.322296i
\(445\) −2.71109 + 2.13202i −0.128518 + 0.101068i
\(446\) −30.1629 + 7.31743i −1.42825 + 0.346490i
\(447\) −4.55769 + 15.1554i −0.215571 + 0.716825i
\(448\) −6.84512 13.2777i −0.323402 0.627312i
\(449\) 7.82720 12.1794i 0.369389 0.574780i −0.605948 0.795505i \(-0.707206\pi\)
0.975336 + 0.220725i \(0.0708422\pi\)
\(450\) 1.95707 4.70938i 0.0922570 0.222002i
\(451\) 1.94844 6.63577i 0.0917483 0.312466i
\(452\) −6.93102 2.77476i −0.326008 0.130514i
\(453\) −2.68146 30.1609i −0.125986 1.41708i
\(454\) −21.1149 15.0359i −0.990974 0.705669i
\(455\) −7.36611 + 7.72535i −0.345329 + 0.362170i
\(456\) −2.39896 1.40600i −0.112341 0.0658418i
\(457\) 15.6964 19.9596i 0.734247 0.933671i −0.265288 0.964169i \(-0.585467\pi\)
0.999535 + 0.0304981i \(0.00970935\pi\)
\(458\) 2.31668 1.48884i 0.108252 0.0695690i
\(459\) 2.02590 6.43093i 0.0945608 0.300170i
\(460\) 5.58414 + 2.07769i 0.260362 + 0.0968729i
\(461\) −31.5279 18.2026i −1.46840 0.847781i −0.469026 0.883184i \(-0.655395\pi\)
−0.999373 + 0.0354037i \(0.988728\pi\)
\(462\) −2.27675 4.48797i −0.105924 0.208799i
\(463\) 26.3657 10.5552i 1.22532 0.490544i 0.333420 0.942778i \(-0.391797\pi\)
0.891899 + 0.452234i \(0.149373\pi\)
\(464\) 2.04295 + 21.3947i 0.0948415 + 0.993225i
\(465\) −16.1065 5.69252i −0.746922 0.263984i
\(466\) 29.5535 + 2.82202i 1.36904 + 0.130728i
\(467\) −5.24350 6.05132i −0.242640 0.280022i 0.621347 0.783536i \(-0.286586\pi\)
−0.863987 + 0.503514i \(0.832040\pi\)
\(468\) 5.41522 + 3.58090i 0.250319 + 0.165527i
\(469\) −3.59996 1.05704i −0.166231 0.0488097i
\(470\) −0.657485 1.89968i −0.0303275 0.0876256i
\(471\) 1.61307 10.7218i 0.0743264 0.494036i
\(472\) −1.17707 + 24.7098i −0.0541793 + 1.13736i
\(473\) −2.76197 + 14.3305i −0.126996 + 0.658916i
\(474\) −25.6824 + 3.52162i −1.17963 + 0.161753i
\(475\) 0.284685 0.711109i 0.0130622 0.0326279i
\(476\) 1.12530 0.975081i 0.0515782 0.0446928i
\(477\) 6.14775 + 26.8676i 0.281486 + 1.23018i
\(478\) 16.7085 4.90606i 0.764229 0.224398i
\(479\) −0.913578 1.28294i −0.0417425 0.0586191i 0.793177 0.608991i \(-0.208425\pi\)
−0.834920 + 0.550372i \(0.814486\pi\)
\(480\) 8.34688 + 8.06341i 0.380981 + 0.368042i
\(481\) 9.80738 19.0237i 0.447178 0.867405i
\(482\) −11.5229 19.9583i −0.524854 0.909074i
\(483\) 3.65152 + 13.9467i 0.166150 + 0.634598i
\(484\) 2.94441 5.09987i 0.133837 0.231812i
\(485\) 11.6935 + 18.1954i 0.530975 + 0.826213i
\(486\) 6.95349 + 16.6429i 0.315417 + 0.754938i
\(487\) −11.6334 + 25.4736i −0.527159 + 1.15432i 0.439498 + 0.898244i \(0.355156\pi\)
−0.966657 + 0.256074i \(0.917571\pi\)
\(488\) 3.89133 16.0403i 0.176152 0.726109i
\(489\) −14.5365 + 4.92511i −0.657363 + 0.222721i
\(490\) 8.19339 + 2.83576i 0.370140 + 0.128107i
\(491\) 24.5400 + 31.2051i 1.10747 + 1.40827i 0.903129 + 0.429369i \(0.141264\pi\)
0.204345 + 0.978899i \(0.434493\pi\)
\(492\) −4.32489 + 3.35567i −0.194981 + 0.151285i
\(493\) −11.7624 + 4.07101i −0.529752 + 0.183349i
\(494\) −1.66108 1.06751i −0.0747357 0.0480297i
\(495\) 5.82869 + 5.70476i 0.261980 + 0.256410i
\(496\) 7.70128 8.88775i 0.345798 0.399072i
\(497\) 6.36119 6.06538i 0.285338 0.272070i
\(498\) 4.61141 2.92122i 0.206642 0.130903i
\(499\) 0.864089 2.49662i 0.0386819 0.111764i −0.924006 0.382378i \(-0.875105\pi\)
0.962688 + 0.270614i \(0.0872266\pi\)
\(500\) −4.66193 + 6.54677i −0.208488 + 0.292780i
\(501\) −11.1372 13.0239i −0.497575 0.581864i
\(502\) 6.60735 4.70507i 0.294901 0.209998i
\(503\) 6.13173 42.6471i 0.273400 1.90154i −0.138586 0.990350i \(-0.544256\pi\)
0.411987 0.911190i \(-0.364835\pi\)
\(504\) −2.48864 + 15.8382i −0.110853 + 0.705489i
\(505\) 0.765620i 0.0340697i
\(506\) −5.39574 + 5.94506i −0.239870 + 0.264290i
\(507\) −3.21160 2.31871i −0.142632 0.102978i
\(508\) 2.14747 + 1.10710i 0.0952784 + 0.0491194i
\(509\) 13.4558 + 33.6110i 0.596418 + 1.48978i 0.852290 + 0.523070i \(0.175213\pi\)
−0.255871 + 0.966711i \(0.582362\pi\)
\(510\) 2.47084 4.21583i 0.109411 0.186680i
\(511\) 8.48288 + 2.05792i 0.375260 + 0.0910372i
\(512\) −19.8186 + 9.05087i −0.875868 + 0.399996i
\(513\) 1.07693 + 2.48586i 0.0475478 + 0.109753i
\(514\) −4.94773 34.4122i −0.218235 1.51786i
\(515\) 22.4564 + 23.5516i 0.989546 + 1.03781i
\(516\) 8.41210 7.91673i 0.370322 0.348515i
\(517\) −1.33617 0.0636498i −0.0587648 0.00279931i
\(518\) 13.1170 + 0.624838i 0.576326 + 0.0274538i
\(519\) −0.596638 2.53138i −0.0261895 0.111115i
\(520\) 13.0686 + 13.7059i 0.573096 + 0.601045i
\(521\) 1.97100 + 13.7086i 0.0863510 + 0.600584i 0.986346 + 0.164685i \(0.0526607\pi\)
−0.899995 + 0.435900i \(0.856430\pi\)
\(522\) 17.0238 28.6166i 0.745109 1.25252i
\(523\) 11.1918 5.11111i 0.489382 0.223493i −0.155412 0.987850i \(-0.549671\pi\)
0.644794 + 0.764357i \(0.276943\pi\)
\(524\) −3.62628 0.879727i −0.158415 0.0384311i
\(525\) −4.41639 0.0288292i −0.192747 0.00125821i
\(526\) 9.75202 + 24.3594i 0.425208 + 1.06212i
\(527\) 6.05371 + 3.12090i 0.263704 + 0.135949i
\(528\) −5.12238 + 2.29902i −0.222923 + 0.100052i
\(529\) 18.7139 13.3713i 0.813647 0.581359i
\(530\) 19.9752i 0.867669i
\(531\) 15.1448 18.7491i 0.657226 0.813642i
\(532\) −0.0851428 + 0.592181i −0.00369141 + 0.0256743i
\(533\) −12.7446 + 9.07541i −0.552031 + 0.393100i
\(534\) −1.22581 + 3.46831i −0.0530458 + 0.150089i
\(535\) 8.13916 11.4298i 0.351886 0.494155i
\(536\) −2.17713 + 6.29040i −0.0940377 + 0.271704i
\(537\) −0.954301 23.2216i −0.0411811 1.00209i
\(538\) −11.0514 + 10.5375i −0.476459 + 0.454302i
\(539\) 3.77822 4.36030i 0.162740 0.187812i
\(540\) −1.09735 6.36154i −0.0472224 0.273757i
\(541\) −0.102617 0.0659481i −0.00441186 0.00283533i 0.538433 0.842668i \(-0.319016\pi\)
−0.542845 + 0.839833i \(0.682653\pi\)
\(542\) −26.4702 + 9.16141i −1.13699 + 0.393516i
\(543\) −27.5268 11.2291i −1.18129 0.481887i
\(544\) −2.86026 3.63711i −0.122633 0.155940i
\(545\) 34.8956 + 12.0775i 1.49476 + 0.517343i
\(546\) −2.22751 + 11.1648i −0.0953288 + 0.477807i
\(547\) −5.89832 + 24.3132i −0.252194 + 1.03956i 0.695029 + 0.718982i \(0.255391\pi\)
−0.947223 + 0.320576i \(0.896124\pi\)
\(548\) 4.58454 10.0387i 0.195842 0.428834i
\(549\) −12.2897 + 10.3713i −0.524513 + 0.442637i
\(550\) −1.32970 2.06905i −0.0566986 0.0882247i
\(551\) 2.50058 4.33113i 0.106528 0.184512i
\(552\) 25.0238 5.29366i 1.06508 0.225313i
\(553\) 11.2246 + 19.4416i 0.477319 + 0.826741i
\(554\) 9.20108 17.8476i 0.390916 0.758272i
\(555\) −20.4588 + 5.86246i −0.868428 + 0.248848i
\(556\) −0.324495 0.455689i −0.0137616 0.0193255i
\(557\) −26.0980 + 7.66306i −1.10581 + 0.324694i −0.783157 0.621824i \(-0.786392\pi\)
−0.322650 + 0.946518i \(0.604574\pi\)
\(558\) −17.7609 + 4.06399i −0.751879 + 0.172042i
\(559\) 24.9520 21.6210i 1.05536 0.914471i
\(560\) −2.71572 + 6.78353i −0.114760 + 0.286656i
\(561\) −1.99333 2.56907i −0.0841585 0.108466i
\(562\) 4.05624 21.0457i 0.171102 0.887761i
\(563\) −0.342428 + 7.18844i −0.0144316 + 0.302957i 0.980099 + 0.198510i \(0.0636102\pi\)
−0.994530 + 0.104447i \(0.966693\pi\)
\(564\) 0.827984 + 0.659926i 0.0348644 + 0.0277879i
\(565\) 6.93977 + 20.0512i 0.291959 + 0.843559i
\(566\) −11.6051 3.40756i −0.487798 0.143231i
\(567\) 11.0707 11.0196i 0.464924 0.462780i
\(568\) −10.2117 11.7849i −0.428474 0.494485i
\(569\) 3.10282 + 0.296283i 0.130077 + 0.0124208i 0.159891 0.987135i \(-0.448886\pi\)
−0.0298146 + 0.999555i \(0.509492\pi\)
\(570\) 0.358982 + 1.93030i 0.0150361 + 0.0808513i
\(571\) −0.138062 1.44585i −0.00577773 0.0605071i 0.992123 0.125266i \(-0.0399783\pi\)
−0.997901 + 0.0647586i \(0.979372\pi\)
\(572\) 2.90666 1.16365i 0.121534 0.0486547i
\(573\) −17.1820 0.930930i −0.717789 0.0388902i
\(574\) −8.31341 4.79975i −0.346995 0.200338i
\(575\) 2.46756 + 6.59966i 0.102904 + 0.275225i
\(576\) 25.2887 + 5.21729i 1.05370 + 0.217387i
\(577\) −3.99497 + 2.56741i −0.166313 + 0.106883i −0.621149 0.783692i \(-0.713334\pi\)
0.454837 + 0.890575i \(0.349698\pi\)
\(578\) 10.9551 13.9306i 0.455672 0.579435i
\(579\) 0.0212811 3.26008i 0.000884412 0.135484i
\(580\) −8.22378 + 8.62485i −0.341474 + 0.358127i
\(581\) −3.85079 2.74214i −0.159758 0.113763i
\(582\) 20.9210 + 9.71982i 0.867202 + 0.402900i
\(583\) 12.3401 + 4.94024i 0.511075 + 0.204604i
\(584\) 4.36304 14.8591i 0.180544 0.614875i
\(585\) −2.38718 18.2957i −0.0986977 0.756436i
\(586\) −4.55110 + 7.08165i −0.188004 + 0.292540i
\(587\) −2.80388 5.43876i −0.115728 0.224482i 0.823856 0.566799i \(-0.191818\pi\)
−0.939584 + 0.342318i \(0.888788\pi\)
\(588\) −4.44486 + 1.04764i −0.183303 + 0.0432038i
\(589\) −2.65943 + 0.645170i −0.109580 + 0.0265838i
\(590\) 13.7303 10.7977i 0.565269 0.444532i
\(591\) −1.95622 2.78543i −0.0804681 0.114577i
\(592\) 1.39267 14.5847i 0.0572385 0.599428i
\(593\) 3.32831 + 11.3352i 0.136677 + 0.465481i 0.999176 0.0405782i \(-0.0129200\pi\)
−0.862499 + 0.506059i \(0.831102\pi\)
\(594\) 8.50765 + 1.81319i 0.349073 + 0.0743959i
\(595\) −4.18869 0.602243i −0.171720 0.0246896i
\(596\) −0.287447 6.03425i −0.0117743 0.247173i
\(597\) −43.0139 4.39085i −1.76044 0.179705i
\(598\) 17.9089 3.02627i 0.732351 0.123753i
\(599\) 9.56042 5.51971i 0.390628 0.225529i −0.291804 0.956478i \(-0.594255\pi\)
0.682432 + 0.730949i \(0.260922\pi\)
\(600\) −0.423910 + 7.82403i −0.0173061 + 0.319415i
\(601\) −4.91253 3.86326i −0.200386 0.157585i 0.512924 0.858434i \(-0.328562\pi\)
−0.713310 + 0.700849i \(0.752805\pi\)
\(602\) 18.4266 + 8.41514i 0.751012 + 0.342976i
\(603\) 5.33146 3.69257i 0.217114 0.150373i
\(604\) 4.80157 + 10.5140i 0.195373 + 0.427808i
\(605\) −16.4338 + 3.16736i −0.668129 + 0.128771i
\(606\) −0.436984 0.689819i −0.0177512 0.0280220i
\(607\) −2.77009 11.4185i −0.112435 0.463461i −0.999996 0.00277244i \(-0.999118\pi\)
0.887562 0.460689i \(-0.152398\pi\)
\(608\) 1.82554 + 0.351844i 0.0740354 + 0.0142692i
\(609\) −28.5148 4.28998i −1.15548 0.173839i
\(610\) −10.3590 + 5.34044i −0.419424 + 0.216228i
\(611\) 2.28707 + 1.98176i 0.0925249 + 0.0801733i
\(612\) 0.0888917 + 2.57223i 0.00359323 + 0.103976i
\(613\) 2.50584 0.360286i 0.101210 0.0145518i −0.0915237 0.995803i \(-0.529174\pi\)
0.192734 + 0.981251i \(0.438265\pi\)
\(614\) 7.21056 + 37.4119i 0.290995 + 1.50982i
\(615\) 15.2568 + 3.04393i 0.615213 + 0.122743i
\(616\) 5.59589 + 5.33567i 0.225465 + 0.214980i
\(617\) −31.0517 + 2.96508i −1.25010 + 0.119370i −0.699030 0.715092i \(-0.746385\pi\)
−0.551066 + 0.834462i \(0.685779\pi\)
\(618\) 33.6753 + 8.40267i 1.35462 + 0.338005i
\(619\) −36.2601 + 1.72728i −1.45742 + 0.0694253i −0.761252 0.648457i \(-0.775415\pi\)
−0.696165 + 0.717882i \(0.745112\pi\)
\(620\) 6.52092 0.261886
\(621\) −22.7196 10.2382i −0.911705 0.410846i
\(622\) 8.65970 0.347222
\(623\) 3.18204 0.151579i 0.127486 0.00607290i
\(624\) 12.3240 + 3.07510i 0.493357 + 0.123103i
\(625\) 15.4255 1.47296i 0.617022 0.0589184i
\(626\) 19.2157 + 18.3221i 0.768013 + 0.732299i
\(627\) 1.28126 + 0.255629i 0.0511688 + 0.0102088i
\(628\) 0.783278 + 4.06403i 0.0312562 + 0.162173i
\(629\) 8.39870 1.20755i 0.334878 0.0481482i
\(630\) 9.60256 5.99551i 0.382575 0.238867i
\(631\) −2.48964 2.15728i −0.0991109 0.0858801i 0.603896 0.797063i \(-0.293614\pi\)
−0.703007 + 0.711183i \(0.748160\pi\)
\(632\) 35.4008 18.2504i 1.40817 0.725961i
\(633\) 11.9054 + 1.79113i 0.473196 + 0.0711910i
\(634\) 28.6933 + 5.53019i 1.13956 + 0.219632i
\(635\) −1.61884 6.67294i −0.0642416 0.264808i
\(636\) −5.63021 8.88780i −0.223252 0.352424i
\(637\) −12.8164 + 2.47015i −0.507803 + 0.0978710i
\(638\) −6.67085 14.6071i −0.264102 0.578302i
\(639\) 1.24659 + 15.1415i 0.0493145 + 0.598988i
\(640\) 4.83262 + 2.20698i 0.191026 + 0.0872386i
\(641\) 33.4117 + 26.2752i 1.31968 + 1.03781i 0.995785 + 0.0917178i \(0.0292358\pi\)
0.323898 + 0.946092i \(0.395007\pi\)
\(642\) 0.809657 14.9437i 0.0319546 0.589781i
\(643\) 0.559980 0.323304i 0.0220834 0.0127499i −0.488918 0.872330i \(-0.662608\pi\)
0.511001 + 0.859580i \(0.329275\pi\)
\(644\) −3.08824 4.55502i −0.121694 0.179493i
\(645\) −32.6602 3.33395i −1.28599 0.131274i
\(646\) −0.0372468 0.781906i −0.00146546 0.0307637i
\(647\) −34.2620 4.92614i −1.34698 0.193666i −0.569198 0.822201i \(-0.692746\pi\)
−0.777782 + 0.628534i \(0.783655\pi\)
\(648\) −18.5938 20.5490i −0.730432 0.807242i
\(649\) −3.27471 11.1527i −0.128544 0.437780i
\(650\) −0.528897 + 5.53886i −0.0207450 + 0.217252i
\(651\) 9.06836 + 12.9123i 0.355417 + 0.506073i
\(652\) 4.60529 3.62164i 0.180357 0.141834i
\(653\) −19.8771 + 4.82214i −0.777853 + 0.188705i −0.604982 0.796239i \(-0.706820\pi\)
−0.172871 + 0.984944i \(0.555304\pi\)
\(654\) 38.3340 9.03519i 1.49898 0.353304i
\(655\) 4.85948 + 9.42608i 0.189876 + 0.368307i
\(656\) −5.79030 + 9.00988i −0.226073 + 0.351777i
\(657\) −11.9809 + 9.17128i −0.467419 + 0.357806i
\(658\) −0.523107 + 1.78154i −0.0203929 + 0.0694517i
\(659\) −4.59536 1.83971i −0.179010 0.0716647i 0.280426 0.959876i \(-0.409524\pi\)
−0.459436 + 0.888211i \(0.651948\pi\)
\(660\) −2.82343 1.31176i −0.109902 0.0510602i
\(661\) −12.2943 8.75473i −0.478193 0.340520i 0.315410 0.948955i \(-0.397858\pi\)
−0.793603 + 0.608436i \(0.791797\pi\)
\(662\) −4.84299 + 5.07918i −0.188228 + 0.197408i
\(663\) −0.0480188 + 7.35607i −0.00186489 + 0.285686i
\(664\) −5.18453 + 6.59266i −0.201199 + 0.255845i
\(665\) 1.43039 0.919257i 0.0554682 0.0356472i
\(666\) −15.0872 + 16.9591i −0.584617 + 0.657150i
\(667\) 9.81466 + 44.9442i 0.380025 + 1.74025i
\(668\) 5.66501 + 3.27069i 0.219186 + 0.126547i
\(669\) −46.3928 2.51359i −1.79365 0.0971808i
\(670\) 4.36349 1.74688i 0.168576 0.0674877i
\(671\) 0.737198 + 7.72028i 0.0284592 + 0.298038i
\(672\) −1.95992 10.5387i −0.0756054 0.406541i
\(673\) 3.16517 + 0.302237i 0.122008 + 0.0116504i 0.155882 0.987776i \(-0.450178\pi\)
−0.0338733 + 0.999426i \(0.510784\pi\)
\(674\) 14.5230 + 16.7605i 0.559407 + 0.645590i
\(675\) 4.83564 5.90719i 0.186124 0.227368i
\(676\) 1.45082 + 0.425998i 0.0558006 + 0.0163845i
\(677\) 9.82519 + 28.3880i 0.377613 + 1.09104i 0.960450 + 0.278451i \(0.0898211\pi\)
−0.582838 + 0.812589i \(0.698058\pi\)
\(678\) 17.6970 + 14.1050i 0.679651 + 0.541701i
\(679\) 0.950570 19.9549i 0.0364795 0.765799i
\(680\) −1.42086 + 7.37212i −0.0544875 + 0.282708i
\(681\) −23.7863 30.6564i −0.911491 1.17476i
\(682\) −3.26576 + 8.15747i −0.125052 + 0.312366i
\(683\) −6.63743 + 5.75137i −0.253974 + 0.220070i −0.772537 0.634970i \(-0.781013\pi\)
0.518563 + 0.855039i \(0.326467\pi\)
\(684\) −0.703799 0.757687i −0.0269104 0.0289709i
\(685\) −30.0944 + 8.83650i −1.14985 + 0.337625i
\(686\) −12.7994 17.9742i −0.488682 0.686258i
\(687\) 3.96279 1.13553i 0.151190 0.0433233i
\(688\) 10.3563 20.0884i 0.394829 0.765861i
\(689\) −15.0354 26.0421i −0.572804 0.992125i
\(690\) −14.3959 10.9058i −0.548041 0.415178i
\(691\) 18.8143 32.5874i 0.715731 1.23968i −0.246946 0.969029i \(-0.579427\pi\)
0.962677 0.270653i \(-0.0872396\pi\)
\(692\) 0.536728 + 0.835166i 0.0204034 + 0.0317482i
\(693\) −1.32897 7.41498i −0.0504832 0.281672i
\(694\) 13.2344 28.9793i 0.502371 1.10004i
\(695\) −0.374831 + 1.54507i −0.0142181 + 0.0586080i
\(696\) −10.0096 + 50.1702i −0.379413 + 1.90170i
\(697\) −5.86152 2.02869i −0.222021 0.0768422i
\(698\) −8.09766 10.2970i −0.306501 0.389748i
\(699\) 41.1483 + 16.7858i 1.55637 + 0.634895i
\(700\) 1.59315 0.551395i 0.0602154 0.0208408i
\(701\) 8.38636 + 5.38959i 0.316749 + 0.203562i 0.689348 0.724430i \(-0.257897\pi\)
−0.372599 + 0.927992i \(0.621533\pi\)
\(702\) −12.5933 15.1218i −0.475302 0.570737i
\(703\) −2.23260 + 2.57656i −0.0842040 + 0.0971766i
\(704\) 9.01249 8.59339i 0.339671 0.323876i
\(705\) −0.123558 3.00662i −0.00465346 0.113236i
\(706\) −12.1931 + 35.2296i −0.458892 + 1.32588i
\(707\) −0.410195 + 0.576038i −0.0154270 + 0.0216641i
\(708\) −3.06577 + 8.67434i −0.115219 + 0.326002i
\(709\) 20.7818 14.7987i 0.780477 0.555775i −0.118922 0.992904i \(-0.537944\pi\)
0.899399 + 0.437129i \(0.144005\pi\)
\(710\) −1.56699 + 10.8987i −0.0588082 + 0.409020i
\(711\) −38.3338 6.02336i −1.43763 0.225894i
\(712\) 5.65183i 0.211811i
\(713\) 14.0927 20.8578i 0.527775 0.781132i
\(714\) −4.11772 + 1.84811i −0.154102 + 0.0691638i
\(715\) −7.90907 4.07741i −0.295783 0.152487i
\(716\) 3.29728 + 8.23621i 0.123225 + 0.307802i
\(717\) 26.0665 + 0.170156i 0.973472 + 0.00635460i
\(718\) 15.3145 + 3.71526i 0.571533 + 0.138652i
\(719\) 45.2679 20.6732i 1.68821 0.770979i 0.689290 0.724486i \(-0.257923\pi\)
0.998919 0.0464933i \(-0.0148046\pi\)
\(720\) −6.17179 11.0196i −0.230009 0.410677i
\(721\) −4.27757 29.7512i −0.159305 1.10799i
\(722\) −14.9540 15.6833i −0.556531 0.583673i
\(723\) −7.91410 33.5775i −0.294329 1.24876i
\(724\) 11.3354 + 0.539972i 0.421277 + 0.0200679i
\(725\) −14.0768 0.670562i −0.522800 0.0249040i
\(726\) −12.9990 + 12.2335i −0.482437 + 0.454027i
\(727\) 21.6586 + 22.7149i 0.803272 + 0.842447i 0.990161 0.139934i \(-0.0446889\pi\)
−0.186889 + 0.982381i \(0.559840\pi\)
\(728\) −2.48935 17.3138i −0.0922615 0.641693i
\(729\) 2.79310 + 26.8551i 0.103448 + 0.994635i
\(730\) −9.94682 + 4.54256i −0.368149 + 0.168128i
\(731\) 12.7201 + 3.08587i 0.470471 + 0.114135i
\(732\) 3.10390 5.29597i 0.114723 0.195745i
\(733\) −8.37924 20.9303i −0.309494 0.773079i −0.998817 0.0486249i \(-0.984516\pi\)
0.689323 0.724454i \(-0.257908\pi\)
\(734\) 30.0069 + 15.4696i 1.10757 + 0.570994i
\(735\) 10.5227 + 7.59718i 0.388135 + 0.280226i
\(736\) −14.5954 + 8.91238i −0.537994 + 0.328515i
\(737\) 3.12767i 0.115209i
\(738\) 15.4836 5.96536i 0.569959 0.219588i
\(739\) −5.79117 + 40.2785i −0.213032 + 1.48167i 0.549923 + 0.835216i \(0.314657\pi\)
−0.762954 + 0.646452i \(0.776252\pi\)
\(740\) 6.61753 4.71232i 0.243265 0.173228i
\(741\) −1.92095 2.24636i −0.0705680 0.0825221i
\(742\) 10.7021 15.0290i 0.392886 0.551731i
\(743\) −3.93442 + 11.3678i −0.144340 + 0.417043i −0.993878 0.110485i \(-0.964760\pi\)
0.849538 + 0.527528i \(0.176881\pi\)
\(744\) 23.6479 14.9804i 0.866976 0.549208i
\(745\) −12.4258 + 11.8480i −0.455246 + 0.434076i
\(746\) −15.4628 + 17.8451i −0.566135 + 0.653354i
\(747\) 7.86976 2.19959i 0.287939 0.0804787i
\(748\) 1.04420 + 0.671066i 0.0381797 + 0.0245366i
\(749\) −12.2475 + 4.23890i −0.447514 + 0.154886i
\(750\) 19.2477 14.9342i 0.702825 0.545320i
\(751\) 17.5861 + 22.3626i 0.641727 + 0.816022i 0.992731 0.120351i \(-0.0384021\pi\)
−0.351004 + 0.936374i \(0.614160\pi\)
\(752\) 1.95763 + 0.677541i 0.0713873 + 0.0247074i
\(753\) 11.4999 3.89630i 0.419081 0.141989i
\(754\) −8.56473 + 35.3043i −0.311909 + 1.28571i
\(755\) 13.6463 29.8811i 0.496638 1.08749i
\(756\) −2.58268 + 5.37422i −0.0939313 + 0.195459i
\(757\) 21.0120 + 32.6954i 0.763696 + 1.18833i 0.977392 + 0.211433i \(0.0678132\pi\)
−0.213697 + 0.976900i \(0.568550\pi\)
\(758\) −5.56975 + 9.64710i −0.202303 + 0.350398i
\(759\) −10.2977 + 6.19613i −0.373781 + 0.224905i
\(760\) −1.50830 2.61246i −0.0547119 0.0947638i
\(761\) 18.3371 35.5689i 0.664718 1.28937i −0.279530 0.960137i \(-0.590179\pi\)
0.944248 0.329236i \(-0.106791\pi\)
\(762\) −5.26719 5.08831i −0.190810 0.184330i
\(763\) −19.7841 27.7828i −0.716231 1.00581i
\(764\) 6.30232 1.85053i 0.228010 0.0669497i
\(765\) 5.35937 4.97820i 0.193768 0.179987i
\(766\) 5.07670 4.39899i 0.183429 0.158942i
\(767\) −9.77308 + 24.4120i −0.352885 + 0.881465i
\(768\) −23.9256 + 3.28072i −0.863341 + 0.118383i
\(769\) −4.13424 + 21.4505i −0.149085 + 0.773524i 0.828009 + 0.560715i \(0.189474\pi\)
−0.977094 + 0.212810i \(0.931739\pi\)
\(770\) 0.259776 5.45337i 0.00936167 0.196526i
\(771\) 7.74242 51.4627i 0.278836 1.85338i
\(772\) 0.407028 + 1.17603i 0.0146492 + 0.0423262i
\(773\) 3.33187 + 0.978324i 0.119839 + 0.0351879i 0.341102 0.940026i \(-0.389200\pi\)
−0.221263 + 0.975214i \(0.571018\pi\)
\(774\) −31.3295 + 15.6372i −1.12612 + 0.562067i
\(775\) 5.04989 + 5.82788i 0.181397 + 0.209344i
\(776\) −35.2827 3.36909i −1.26657 0.120943i
\(777\) 18.5337 + 6.55037i 0.664894 + 0.234993i
\(778\) −2.22509 23.3022i −0.0797735 0.835426i
\(779\) 2.31369 0.926260i 0.0828964 0.0331867i
\(780\) 3.18640 + 6.28109i 0.114091 + 0.224899i
\(781\) 6.34534 + 3.66348i 0.227054 + 0.131090i
\(782\) 5.09563 + 5.08749i 0.182220 + 0.181928i
\(783\) 36.7400 33.6829i 1.31298 1.20373i
\(784\) −7.51637 + 4.83048i −0.268442 + 0.172517i
\(785\) 7.27122 9.24611i 0.259521 0.330008i
\(786\) 9.75837 + 5.71925i 0.348070 + 0.203999i
\(787\) −1.36484 + 1.43140i −0.0486512 + 0.0510239i −0.747610 0.664138i \(-0.768799\pi\)
0.698959 + 0.715162i \(0.253647\pi\)
\(788\) 1.05836 + 0.753658i 0.0377027 + 0.0268479i
\(789\) 3.47825 + 39.1231i 0.123829 + 1.39282i
\(790\) −26.1083 10.4522i −0.928893 0.371873i
\(791\) 5.52142 18.8042i 0.196319 0.668601i
\(792\) −13.2526 + 1.72916i −0.470910 + 0.0614431i
\(793\) 9.48548 14.7597i 0.336839 0.524132i
\(794\) −16.8245 32.6350i −0.597080 1.15817i
\(795\) −8.61124 + 28.6344i −0.305409 + 1.01556i
\(796\) 16.0395 3.89113i 0.568503 0.137917i
\(797\) −5.88407 + 4.62728i −0.208424 + 0.163907i −0.716915 0.697161i \(-0.754446\pi\)
0.508490 + 0.861068i \(0.330204\pi\)
\(798\) 0.764101 1.64465i 0.0270489 0.0582200i
\(799\) −0.114042 + 1.19430i −0.00403450 + 0.0422512i
\(800\) −1.47596 5.02666i −0.0521831 0.177719i
\(801\) −3.25236 + 4.44337i −0.114917 + 0.156999i
\(802\) 23.0273 + 3.31083i 0.813123 + 0.116909i
\(803\) 0.346233 + 7.26832i 0.0122183 + 0.256493i
\(804\) −1.44912 + 2.00715i −0.0511065 + 0.0707866i
\(805\) −4.03594 + 15.1107i −0.142248 + 0.532581i
\(806\) 17.2152 9.93920i 0.606380 0.350093i
\(807\) −20.3847 + 10.3412i −0.717577 + 0.364027i
\(808\) 0.986193 + 0.775551i 0.0346942 + 0.0272838i
\(809\) −3.10955 1.42008i −0.109326 0.0499275i 0.360001 0.932952i \(-0.382776\pi\)
−0.469327 + 0.883024i \(0.655504\pi\)
\(810\) −2.36798 + 19.4241i −0.0832023 + 0.682494i
\(811\) 9.35486 + 20.4843i 0.328494 + 0.719301i 0.999760 0.0219156i \(-0.00697651\pi\)
−0.671266 + 0.741216i \(0.734249\pi\)
\(812\) 10.8083 2.08314i 0.379298 0.0731037i
\(813\) −41.8943 + 1.72166i −1.46930 + 0.0603812i
\(814\) 2.58083 + 10.6383i 0.0904579 + 0.372872i
\(815\) −16.3499 3.15118i −0.572711 0.110381i
\(816\) 1.84099 + 4.68701i 0.0644475 + 0.164078i
\(817\) −4.67452 + 2.40988i −0.163541 + 0.0843111i
\(818\) 0.246905 + 0.213944i 0.00863281 + 0.00748038i
\(819\) −8.00621 + 15.0443i −0.279760 + 0.525692i
\(820\) −5.87819 + 0.845156i −0.205275 + 0.0295141i
\(821\) 2.60897 + 13.5366i 0.0910536 + 0.472431i 0.998620 + 0.0525217i \(0.0167259\pi\)
−0.907566 + 0.419909i \(0.862062\pi\)
\(822\) −22.0713 + 25.1382i −0.769826 + 0.876796i
\(823\) −18.5987 17.7338i −0.648308 0.618161i 0.292837 0.956162i \(-0.405401\pi\)
−0.941146 + 0.338002i \(0.890249\pi\)
\(824\) −53.0844 + 5.06894i −1.84928 + 0.176585i
\(825\) −1.01416 3.53921i −0.0353084 0.123219i
\(826\) −16.1155 + 0.767675i −0.560729 + 0.0267108i
\(827\) −4.89430 −0.170191 −0.0850957 0.996373i \(-0.527120\pi\)
−0.0850957 + 0.996373i \(0.527120\pi\)
\(828\) 9.47921 + 0.794843i 0.329425 + 0.0276227i
\(829\) −14.1498 −0.491442 −0.245721 0.969341i \(-0.579025\pi\)
−0.245721 + 0.969341i \(0.579025\pi\)
\(830\) 5.91540 0.281785i 0.205326 0.00978090i
\(831\) 20.8837 21.6179i 0.724449 0.749917i
\(832\) −28.0441 + 2.67789i −0.972254 + 0.0928390i
\(833\) −3.74495 3.57081i −0.129755 0.123721i
\(834\) 0.544142 + 1.60604i 0.0188421 + 0.0556126i
\(835\) −3.51835 18.2549i −0.121757 0.631737i
\(836\) −0.493651 + 0.0709762i −0.0170733 + 0.00245476i
\(837\) −27.2121 1.83095i −0.940589 0.0632868i
\(838\) −19.4418 16.8464i −0.671606 0.581950i
\(839\) −45.2488 + 23.3274i −1.56216 + 0.805351i −0.999768 0.0215172i \(-0.993150\pi\)
−0.562395 + 0.826869i \(0.690120\pi\)
\(840\) −10.8408 + 13.6015i −0.374042 + 0.469296i
\(841\) −61.8747 11.9254i −2.13361 0.411220i
\(842\) −8.71191 35.9110i −0.300232 1.23757i
\(843\) 14.8873 28.4203i 0.512747 0.978849i
\(844\) −4.51264 + 0.869741i −0.155332 + 0.0299377i
\(845\) −1.78518 3.90901i −0.0614122 0.134474i
\(846\) −1.82737 2.63842i −0.0628264 0.0907108i
\(847\) 14.0615 + 6.42165i 0.483157 + 0.220651i
\(848\) −16.1806 12.7245i −0.555643 0.436962i
\(849\) −15.1669 9.88763i −0.520525 0.339343i
\(850\) −1.91031 + 1.10292i −0.0655231 + 0.0378298i
\(851\) −0.771378 31.3509i −0.0264425 1.07469i
\(852\) −2.37467 5.29094i −0.0813550 0.181265i
\(853\) −0.838427 17.6008i −0.0287072 0.602638i −0.966689 0.255954i \(-0.917610\pi\)
0.937982 0.346685i \(-0.112693\pi\)
\(854\) 10.6552 + 1.53198i 0.364612 + 0.0524233i
\(855\) −0.317544 + 2.92183i −0.0108598 + 0.0999244i
\(856\) 6.47802 + 22.0621i 0.221414 + 0.754068i
\(857\) 0.287654 3.01245i 0.00982607 0.102903i −0.989228 0.146381i \(-0.953238\pi\)
0.999054 + 0.0434773i \(0.0138436\pi\)
\(858\) −9.45324 + 0.840442i −0.322728 + 0.0286922i
\(859\) −24.0531 + 18.9156i −0.820681 + 0.645391i −0.937586 0.347752i \(-0.886945\pi\)
0.116905 + 0.993143i \(0.462703\pi\)
\(860\) 12.1787 2.95451i 0.415289 0.100748i
\(861\) −9.84807 10.4643i −0.335621 0.356622i
\(862\) 11.0952 + 21.5217i 0.377905 + 0.733034i
\(863\) 0.528620 0.822548i 0.0179944 0.0279999i −0.832140 0.554566i \(-0.812884\pi\)
0.850134 + 0.526566i \(0.176521\pi\)
\(864\) 16.2997 + 8.81128i 0.554527 + 0.299766i
\(865\) 0.794901 2.70718i 0.0270274 0.0920470i
\(866\) 25.9439 + 10.3864i 0.881611 + 0.352944i
\(867\) 21.7095 15.2467i 0.737293 0.517804i
\(868\) −4.90621 3.49370i −0.166528 0.118584i
\(869\) −12.9141 + 13.5439i −0.438082 + 0.459447i
\(870\) 31.4010 17.8571i 1.06459 0.605413i
\(871\) −4.37388 + 5.56184i −0.148203 + 0.188456i
\(872\) −50.9052 + 32.7148i −1.72387 + 1.10786i
\(873\) 25.7999 + 22.9523i 0.873194 + 0.776816i
\(874\) −2.88595 0.204088i −0.0976188 0.00690337i
\(875\) −18.2710 10.5488i −0.617673 0.356613i
\(876\) 3.14539 4.82478i 0.106273 0.163014i
\(877\) 6.39768 2.56125i 0.216034 0.0864871i −0.261121 0.965306i \(-0.584092\pi\)
0.477155 + 0.878819i \(0.341668\pi\)
\(878\) 0.321967 + 3.37179i 0.0108658 + 0.113792i
\(879\) −9.57684 + 8.18954i −0.323019 + 0.276226i
\(880\) −6.06359 0.579002i −0.204403 0.0195182i
\(881\) −7.90850 9.12690i −0.266444 0.307493i 0.606723 0.794913i \(-0.292484\pi\)
−0.873168 + 0.487420i \(0.837938\pi\)
\(882\) 13.8170 + 0.839105i 0.465244 + 0.0282541i
\(883\) −16.7641 4.92238i −0.564157 0.165651i −0.0127958 0.999918i \(-0.504073\pi\)
−0.551361 + 0.834267i \(0.685891\pi\)
\(884\) −0.918419 2.65360i −0.0308898 0.0892502i
\(885\) 24.3372 9.55929i 0.818085 0.321332i
\(886\) 0.657012 13.7924i 0.0220727 0.463364i
\(887\) −5.20086 + 26.9846i −0.174628 + 0.906055i 0.783864 + 0.620933i \(0.213246\pi\)
−0.958491 + 0.285122i \(0.907966\pi\)
\(888\) 13.1728 32.2914i 0.442049 1.08363i
\(889\) −2.35717 + 5.88791i −0.0790568 + 0.197474i
\(890\) −3.01602 + 2.61339i −0.101097 + 0.0876011i
\(891\) 11.4140 + 6.26681i 0.382384 + 0.209946i
\(892\) 17.0168 4.99657i 0.569763 0.167298i
\(893\) −0.279615 0.392664i −0.00935696 0.0131400i
\(894\) −4.43325 + 17.7671i −0.148270 + 0.594220i
\(895\) 11.5536 22.4109i 0.386195 0.749113i
\(896\) −2.45354 4.24965i −0.0819670 0.141971i
\(897\) 26.9770 + 3.38233i 0.900736 + 0.112933i
\(898\) 8.37590 14.5075i 0.279508 0.484121i
\(899\) 27.2205 + 42.3559i 0.907854 + 1.41265i
\(900\) −0.988971 + 2.74113i −0.0329657 + 0.0913709i
\(901\) 4.95233 10.8441i 0.164986 0.361269i
\(902\) 1.88661 7.77670i 0.0628171 0.258936i
\(903\) 22.7867 + 20.0067i 0.758294 + 0.665781i
\(904\) −32.8576 11.3721i −1.09283 0.378232i
\(905\) −19.9370 25.3520i −0.662728 0.842727i
\(906\) −4.75969 34.7114i −0.158130 1.15321i
\(907\) −35.0218 + 12.1212i −1.16288 + 0.402476i −0.839270 0.543714i \(-0.817017\pi\)
−0.323609 + 0.946191i \(0.604896\pi\)
\(908\) 12.4603 + 8.00778i 0.413511 + 0.265747i
\(909\) −0.329035 1.17723i −0.0109134 0.0390464i
\(910\) −8.08820 + 9.33429i −0.268121 + 0.309429i
\(911\) 12.6891 12.0990i 0.420409 0.400859i −0.450127 0.892965i \(-0.648621\pi\)
0.870535 + 0.492106i \(0.163773\pi\)
\(912\) −1.79228 0.938843i −0.0593483 0.0310882i
\(913\) 1.28891 3.72405i 0.0426566 0.123248i
\(914\) 17.0426 23.9329i 0.563718 0.791631i
\(915\) −17.1518 + 3.18977i −0.567022 + 0.105450i
\(916\) −1.28179 + 0.912757i −0.0423514 + 0.0301583i
\(917\) 1.39401 9.69556i 0.0460343 0.320176i
\(918\) 1.98741 7.54422i 0.0655943 0.248996i
\(919\) 16.5181i 0.544881i −0.962173 0.272440i \(-0.912169\pi\)
0.962173 0.272440i \(-0.0878308\pi\)
\(920\) 26.4376 + 8.42787i 0.871620 + 0.277859i
\(921\) −5.79183 + 56.7383i −0.190847 + 1.86959i
\(922\) −37.4411 19.3023i −1.23306 0.635686i
\(923\) −6.16054 15.3883i −0.202777 0.506512i
\(924\) 1.42150 + 2.49965i 0.0467638 + 0.0822324i
\(925\) 9.33620 + 2.26494i 0.306972 + 0.0744707i
\(926\) 29.8916 13.6510i 0.982299 0.448601i
\(927\) 44.6510 + 26.5625i 1.46653 + 0.872425i
\(928\) −4.86791 33.8570i −0.159797 1.11141i
\(929\) 14.3313 + 15.0302i 0.470195 + 0.493126i 0.915537 0.402234i \(-0.131766\pi\)
−0.445342 + 0.895361i \(0.646918\pi\)
\(930\) −18.9288 5.69248i −0.620701 0.186664i
\(931\) 2.07674 + 0.0989272i 0.0680623 + 0.00324221i
\(932\) −16.9447 0.807173i −0.555041 0.0264398i
\(933\) 12.4136 + 3.73316i 0.406404 + 0.122218i
\(934\) −6.39345 6.70525i −0.209200 0.219403i
\(935\) −0.502038 3.49175i −0.0164184 0.114193i
\(936\) 25.9848 + 15.4581i 0.849341 + 0.505265i
\(937\) 38.0565 17.3798i 1.24325 0.567775i 0.318349 0.947974i \(-0.396872\pi\)
0.924905 + 0.380199i \(0.124144\pi\)
\(938\) −4.21892 1.02350i −0.137753 0.0334185i
\(939\) 19.6470 + 34.5485i 0.641156 + 1.12745i
\(940\) 0.426915 + 1.06638i 0.0139244 + 0.0347815i
\(941\) −36.4454 18.7889i −1.18809 0.612501i −0.253188 0.967417i \(-0.581479\pi\)
−0.934898 + 0.354917i \(0.884509\pi\)
\(942\) 1.27404 12.4808i 0.0415104 0.406646i
\(943\) −10.0003 + 20.6285i −0.325655 + 0.671757i
\(944\) 18.0003i 0.585859i
\(945\) 16.3499 4.45491i 0.531861 0.144918i
\(946\) −2.40323 + 16.7148i −0.0781356 + 0.543445i
\(947\) 17.0710 12.1562i 0.554734 0.395025i −0.268027 0.963411i \(-0.586372\pi\)
0.822761 + 0.568387i \(0.192432\pi\)
\(948\) 14.5627 2.70826i 0.472975 0.0879603i
\(949\) 9.54867 13.4092i 0.309963 0.435282i
\(950\) 0.289880 0.837552i 0.00940494 0.0271738i
\(951\) 38.7477 + 20.2971i 1.25648 + 0.658178i
\(952\) 5.01877 4.78539i 0.162659 0.155095i
\(953\) 11.3526 13.1017i 0.367748 0.424404i −0.541472 0.840718i \(-0.682133\pi\)
0.909221 + 0.416314i \(0.136678\pi\)
\(954\) 8.58462 + 30.7143i 0.277937 + 0.994413i
\(955\) −15.7042 10.0925i −0.508175 0.326585i
\(956\) −9.40313 + 3.25445i −0.304119 + 0.105257i
\(957\) −3.26556 23.8150i −0.105561 0.769830i
\(958\) −1.12652 1.43249i −0.0363962 0.0462816i
\(959\) 27.3767 + 9.47518i 0.884041 + 0.305970i
\(960\) 21.0504 + 18.4822i 0.679399 + 0.596512i
\(961\) −0.813343 + 3.35264i −0.0262369 + 0.108150i
\(962\) 10.2877 22.5270i 0.331689 0.726298i
\(963\) 7.60281 21.0727i 0.244997 0.679058i
\(964\) 7.11943 + 11.0781i 0.229302 + 0.356800i
\(965\) 1.76842 3.06300i 0.0569275 0.0986014i
\(966\) 4.98817 + 15.9182i 0.160492 + 0.512159i
\(967\) −7.71994 13.3713i −0.248257 0.429993i 0.714786 0.699344i \(-0.246524\pi\)
−0.963042 + 0.269351i \(0.913191\pi\)
\(968\) 12.5671 24.3768i 0.403922 0.783499i
\(969\) 0.283684 1.13692i 0.00911323 0.0365230i
\(970\) 14.5168 + 20.3860i 0.466106 + 0.654554i
\(971\) −45.8951 + 13.4760i −1.47285 + 0.432466i −0.917023 0.398835i \(-0.869415\pi\)
−0.555822 + 0.831301i \(0.687596\pi\)
\(972\) −4.42126 9.31003i −0.141812 0.298619i
\(973\) 1.10982 0.961662i 0.0355791 0.0308295i
\(974\) −12.0431 + 30.0821i −0.385884 + 0.963893i
\(975\) −3.14595 + 7.71192i −0.100751 + 0.246979i
\(976\) 2.27293 11.7931i 0.0727546 0.377487i
\(977\) −1.19291 + 25.0423i −0.0381646 + 0.801174i 0.895940 + 0.444175i \(0.146503\pi\)
−0.934105 + 0.356999i \(0.883800\pi\)
\(978\) −16.5297 + 6.49262i −0.528562 + 0.207611i
\(979\) 0.868563 + 2.50955i 0.0277594 + 0.0802055i
\(980\) −4.75355 1.39577i −0.151847 0.0445862i
\(981\) 58.8466 + 3.57374i 1.87883 + 0.114101i
\(982\) 30.0806 + 34.7149i 0.959912 + 1.10780i
\(983\) −3.42910 0.327439i −0.109371 0.0104437i 0.0402269 0.999191i \(-0.487192\pi\)
−0.149598 + 0.988747i \(0.547798\pi\)
\(984\) −19.3755 + 16.5688i −0.617670 + 0.528194i
\(985\) −0.351005 3.67589i −0.0111839 0.117124i
\(986\) −13.3705 + 5.35274i −0.425804 + 0.170466i
\(987\) −1.51789 + 2.32832i −0.0483149 + 0.0741112i
\(988\) 0.977102 + 0.564130i 0.0310857 + 0.0179474i
\(989\) 16.8696 45.3399i 0.536422 1.44172i
\(990\) 7.05071 + 6.27249i 0.224086 + 0.199353i
\(991\) −16.6507 + 10.7008i −0.528928 + 0.339921i −0.777695 0.628642i \(-0.783611\pi\)
0.248767 + 0.968563i \(0.419975\pi\)
\(992\) −11.5699 + 14.7123i −0.367344 + 0.467116i
\(993\) −9.13201 + 5.19318i −0.289795 + 0.164801i
\(994\) 7.01814 7.36041i 0.222602 0.233458i
\(995\) −38.2093 27.2087i −1.21132 0.862574i
\(996\) −2.55258 + 1.79269i −0.0808816 + 0.0568035i
\(997\) −33.5373 13.4263i −1.06214 0.425215i −0.226222 0.974076i \(-0.572637\pi\)
−0.835914 + 0.548861i \(0.815062\pi\)
\(998\) 0.861235 2.93310i 0.0272619 0.0928455i
\(999\) −28.9384 + 17.8067i −0.915571 + 0.563379i
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 207.2.o.a.11.16 440
3.2 odd 2 621.2.s.a.494.7 440
9.4 even 3 621.2.s.a.287.7 440
9.5 odd 6 inner 207.2.o.a.149.16 yes 440
23.21 odd 22 inner 207.2.o.a.182.16 yes 440
69.44 even 22 621.2.s.a.251.7 440
207.67 odd 66 621.2.s.a.44.7 440
207.113 even 66 inner 207.2.o.a.113.16 yes 440
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
207.2.o.a.11.16 440 1.1 even 1 trivial
207.2.o.a.113.16 yes 440 207.113 even 66 inner
207.2.o.a.149.16 yes 440 9.5 odd 6 inner
207.2.o.a.182.16 yes 440 23.21 odd 22 inner
621.2.s.a.44.7 440 207.67 odd 66
621.2.s.a.251.7 440 69.44 even 22
621.2.s.a.287.7 440 9.4 even 3
621.2.s.a.494.7 440 3.2 odd 2