Properties

Label 729.2.k.a.4.17
Level $729$
Weight $2$
Character 729.4
Analytic conductor $5.821$
Analytic rank $0$
Dimension $12960$
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] = [729,2,Mod(4,729)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(729, base_ring=CyclotomicField(486))
 
chi = DirichletCharacter(H, H._module([2]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("729.4");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 729 = 3^{6} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 729.k (of order \(243\), degree \(162\), 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: \(5.82109430735\)
Analytic rank: \(0\)
Dimension: \(12960\)
Relative dimension: \(80\) over \(\Q(\zeta_{243})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{243}]$

Embedding invariants

Embedding label 4.17
Character \(\chi\) \(=\) 729.4
Dual form 729.2.k.a.547.17

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-1.90833 - 0.0246729i) q^{2} +(1.72970 - 0.0902694i) q^{3} +(1.64178 + 0.0424604i) q^{4} +(0.325467 + 0.0997352i) q^{5} +(-3.30306 + 0.129587i) q^{6} +(0.868282 - 2.16517i) q^{7} +(0.682106 + 0.0264688i) q^{8} +(2.98370 - 0.312277i) q^{9} +O(q^{10})\) \(q+(-1.90833 - 0.0246729i) q^{2} +(1.72970 - 0.0902694i) q^{3} +(1.64178 + 0.0424604i) q^{4} +(0.325467 + 0.0997352i) q^{5} +(-3.30306 + 0.129587i) q^{6} +(0.868282 - 2.16517i) q^{7} +(0.682106 + 0.0264688i) q^{8} +(2.98370 - 0.312277i) q^{9} +(-0.618636 - 0.198358i) q^{10} +(-5.40157 - 3.07222i) q^{11} +(2.84361 - 0.0747585i) q^{12} +(-1.97878 - 4.42900i) q^{13} +(-1.71039 + 4.11044i) q^{14} +(0.571962 + 0.143132i) q^{15} +(-4.58129 - 0.237126i) q^{16} +(-4.50309 - 2.04690i) q^{17} +(-5.70159 + 0.522311i) q^{18} +(2.34282 + 3.41591i) q^{19} +(0.530108 + 0.177562i) q^{20} +(1.30641 - 3.82347i) q^{21} +(10.2322 + 5.99607i) q^{22} +(-0.672522 + 2.05174i) q^{23} +(1.18223 - 0.0157903i) q^{24} +(-4.04559 - 2.73640i) q^{25} +(3.66689 + 8.50080i) q^{26} +(5.13271 - 0.809482i) q^{27} +(1.51746 - 3.51786i) q^{28} +(-5.39631 + 3.45010i) q^{29} +(-1.08796 - 0.287255i) q^{30} +(-1.34259 - 4.94660i) q^{31} +(7.37436 + 0.477357i) q^{32} +(-9.62041 - 4.82641i) q^{33} +(8.54286 + 4.01727i) q^{34} +(0.498541 - 0.618094i) q^{35} +(4.91183 - 0.386000i) q^{36} +(1.42422 + 0.279707i) q^{37} +(-4.38659 - 6.57649i) q^{38} +(-3.82249 - 7.48220i) q^{39} +(0.219363 + 0.0766447i) q^{40} +(-1.31883 + 0.499417i) q^{41} +(-2.58740 + 7.26421i) q^{42} +(7.05209 - 3.09619i) q^{43} +(-8.73772 - 5.27324i) q^{44} +(1.00224 + 0.195944i) q^{45} +(1.33402 - 3.89881i) q^{46} +(-2.79504 + 10.2980i) q^{47} +(-7.94564 + 0.00339465i) q^{48} +(1.12639 + 1.07654i) q^{49} +(7.65279 + 5.32177i) q^{50} +(-7.97375 - 3.13403i) q^{51} +(-3.06066 - 7.35544i) q^{52} +(7.20515 - 7.63701i) q^{53} +(-9.81487 + 1.41812i) q^{54} +(-1.45162 - 1.53863i) q^{55} +(0.649569 - 1.45390i) q^{56} +(4.36072 + 5.69701i) q^{57} +(10.3831 - 6.45078i) q^{58} +(-6.97807 + 1.18396i) q^{59} +(0.932955 + 0.259276i) q^{60} +(-1.34763 + 2.48011i) q^{61} +(2.44005 + 9.47286i) q^{62} +(1.91456 - 6.73138i) q^{63} +(-4.91367 - 0.381921i) q^{64} +(-0.202300 - 1.63884i) q^{65} +(18.2398 + 9.44773i) q^{66} +(-0.0407420 + 0.0211253i) q^{67} +(-7.30614 - 3.55176i) q^{68} +(-0.978050 + 3.60960i) q^{69} +(-0.966630 + 1.16723i) q^{70} +(1.52525 + 1.18216i) q^{71} +(2.04347 - 0.134031i) q^{72} +(0.476852 - 0.152897i) q^{73} +(-2.71097 - 0.568912i) q^{74} +(-7.24465 - 4.36795i) q^{75} +(3.70134 + 5.70764i) q^{76} +(-11.3420 + 9.02780i) q^{77} +(7.10996 + 14.3728i) q^{78} +(3.05305 - 16.0950i) q^{79} +(-1.46741 - 0.534092i) q^{80} +(8.80497 - 1.86349i) q^{81} +(2.52908 - 0.920511i) q^{82} +(-1.35923 - 8.33750i) q^{83} +(2.30719 - 6.22182i) q^{84} +(-1.26146 - 1.11532i) q^{85} +(-13.5341 + 5.73456i) q^{86} +(-9.02254 + 6.45475i) q^{87} +(-3.60313 - 2.23855i) q^{88} +(4.15787 + 1.69868i) q^{89} +(-1.90777 - 0.398654i) q^{90} +(-11.3077 + 0.438790i) q^{91} +(-1.19125 + 3.33995i) q^{92} +(-2.76880 - 8.43493i) q^{93} +(5.58794 - 19.5830i) q^{94} +(0.421823 + 1.34543i) q^{95} +(12.7985 + 0.160004i) q^{96} +(2.50255 - 10.8718i) q^{97} +(-2.12296 - 2.08219i) q^{98} +(-17.0761 - 7.47979i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 12960 q - 162 q^{2} - 162 q^{3} - 162 q^{4} - 162 q^{5} - 162 q^{6} - 162 q^{7} - 162 q^{8} - 162 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 12960 q - 162 q^{2} - 162 q^{3} - 162 q^{4} - 162 q^{5} - 162 q^{6} - 162 q^{7} - 162 q^{8} - 162 q^{9} - 162 q^{10} - 162 q^{11} - 162 q^{12} - 162 q^{13} - 162 q^{14} - 162 q^{15} - 162 q^{16} - 162 q^{17} - 162 q^{18} - 162 q^{19} - 162 q^{20} - 162 q^{21} - 162 q^{22} - 162 q^{23} - 162 q^{24} - 162 q^{25} - 162 q^{26} - 162 q^{27} - 162 q^{28} - 162 q^{29} - 162 q^{30} - 162 q^{31} - 162 q^{32} - 162 q^{33} - 162 q^{34} - 162 q^{35} - 162 q^{36} - 162 q^{37} - 162 q^{38} - 162 q^{39} - 162 q^{40} - 162 q^{41} - 162 q^{42} - 162 q^{43} - 162 q^{44} - 162 q^{45} - 162 q^{46} - 162 q^{47} - 162 q^{48} - 162 q^{49} - 162 q^{50} - 162 q^{51} - 162 q^{52} - 162 q^{53} - 162 q^{54} - 162 q^{55} - 162 q^{56} - 162 q^{57} - 162 q^{58} - 162 q^{59} - 162 q^{60} - 162 q^{61} - 162 q^{62} - 162 q^{63} - 162 q^{64} - 162 q^{65} - 162 q^{66} - 162 q^{67} - 162 q^{68} - 162 q^{69} - 162 q^{70} - 162 q^{71} - 162 q^{72} - 162 q^{73} - 162 q^{74} - 162 q^{75} - 162 q^{76} - 162 q^{77} - 162 q^{78} - 162 q^{79} - 162 q^{80} - 162 q^{81} - 162 q^{82} - 162 q^{83} - 162 q^{84} - 162 q^{85} - 162 q^{86} - 162 q^{87} - 162 q^{88} - 162 q^{89} - 162 q^{90} - 162 q^{91} - 162 q^{92} - 162 q^{93} - 162 q^{94} - 162 q^{95} - 162 q^{96} - 162 q^{97} - 162 q^{98} - 162 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/729\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{1}{243}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.90833 0.0246729i −1.34939 0.0174464i −0.665154 0.746706i \(-0.731634\pi\)
−0.684237 + 0.729259i \(0.739865\pi\)
\(3\) 1.72970 0.0902694i 0.998641 0.0521171i
\(4\) 1.64178 + 0.0424604i 0.820888 + 0.0212302i
\(5\) 0.325467 + 0.0997352i 0.145553 + 0.0446030i 0.364916 0.931040i \(-0.381098\pi\)
−0.219363 + 0.975643i \(0.570398\pi\)
\(6\) −3.30306 + 0.129587i −1.34847 + 0.0529037i
\(7\) 0.868282 2.16517i 0.328180 0.818359i −0.668997 0.743265i \(-0.733276\pi\)
0.997176 0.0750937i \(-0.0239256\pi\)
\(8\) 0.682106 + 0.0264688i 0.241161 + 0.00935814i
\(9\) 2.98370 0.312277i 0.994568 0.104092i
\(10\) −0.618636 0.198358i −0.195630 0.0627262i
\(11\) −5.40157 3.07222i −1.62864 0.926308i −0.987266 0.159076i \(-0.949148\pi\)
−0.641370 0.767232i \(-0.721633\pi\)
\(12\) 2.84361 0.0747585i 0.820879 0.0215809i
\(13\) −1.97878 4.42900i −0.548815 1.22838i −0.949961 0.312368i \(-0.898878\pi\)
0.401146 0.916014i \(-0.368612\pi\)
\(14\) −1.71039 + 4.11044i −0.457120 + 1.09856i
\(15\) 0.571962 + 0.143132i 0.147680 + 0.0369565i
\(16\) −4.58129 0.237126i −1.14532 0.0592814i
\(17\) −4.50309 2.04690i −1.09216 0.496447i −0.214984 0.976618i \(-0.568970\pi\)
−0.877175 + 0.480171i \(0.840575\pi\)
\(18\) −5.70159 + 0.522311i −1.34388 + 0.123110i
\(19\) 2.34282 + 3.41591i 0.537480 + 0.783664i 0.994382 0.105853i \(-0.0337571\pi\)
−0.456902 + 0.889517i \(0.651041\pi\)
\(20\) 0.530108 + 0.177562i 0.118536 + 0.0397041i
\(21\) 1.30641 3.82347i 0.285083 0.834350i
\(22\) 10.2322 + 5.99607i 2.18151 + 1.27837i
\(23\) −0.672522 + 2.05174i −0.140231 + 0.427818i −0.995980 0.0895716i \(-0.971450\pi\)
0.855750 + 0.517390i \(0.173096\pi\)
\(24\) 1.18223 0.0157903i 0.241321 0.00322318i
\(25\) −4.04559 2.73640i −0.809118 0.547280i
\(26\) 3.66689 + 8.50080i 0.719136 + 1.66714i
\(27\) 5.13271 0.809482i 0.987791 0.155785i
\(28\) 1.51746 3.51786i 0.286773 0.664813i
\(29\) −5.39631 + 3.45010i −1.00207 + 0.640668i −0.934097 0.357020i \(-0.883793\pi\)
−0.0679725 + 0.997687i \(0.521653\pi\)
\(30\) −1.08796 0.287255i −0.198633 0.0524453i
\(31\) −1.34259 4.94660i −0.241136 0.888436i −0.977340 0.211676i \(-0.932108\pi\)
0.736204 0.676760i \(-0.236616\pi\)
\(32\) 7.37436 + 0.477357i 1.30361 + 0.0843856i
\(33\) −9.62041 4.82641i −1.67470 0.840170i
\(34\) 8.54286 + 4.01727i 1.46509 + 0.688956i
\(35\) 0.498541 0.618094i 0.0842688 0.104477i
\(36\) 4.91183 0.386000i 0.818638 0.0643334i
\(37\) 1.42422 + 0.279707i 0.234140 + 0.0459835i 0.308406 0.951255i \(-0.400205\pi\)
−0.0742660 + 0.997238i \(0.523661\pi\)
\(38\) −4.38659 6.57649i −0.711598 1.06685i
\(39\) −3.82249 7.48220i −0.612089 1.19811i
\(40\) 0.219363 + 0.0766447i 0.0346843 + 0.0121186i
\(41\) −1.31883 + 0.499417i −0.205967 + 0.0779958i −0.454970 0.890507i \(-0.650350\pi\)
0.249003 + 0.968503i \(0.419897\pi\)
\(42\) −2.58740 + 7.26421i −0.399245 + 1.12089i
\(43\) 7.05209 3.09619i 1.07543 0.472165i 0.212333 0.977197i \(-0.431894\pi\)
0.863100 + 0.505032i \(0.168519\pi\)
\(44\) −8.73772 5.27324i −1.31726 0.794971i
\(45\) 1.00224 + 0.195944i 0.149405 + 0.0292097i
\(46\) 1.33402 3.89881i 0.196690 0.574848i
\(47\) −2.79504 + 10.2980i −0.407699 + 1.50212i 0.402202 + 0.915551i \(0.368245\pi\)
−0.809901 + 0.586566i \(0.800479\pi\)
\(48\) −7.94564 + 0.00339465i −1.14685 + 0.000489975i
\(49\) 1.12639 + 1.07654i 0.160913 + 0.153792i
\(50\) 7.65279 + 5.32177i 1.08227 + 0.752611i
\(51\) −7.97375 3.13403i −1.11655 0.438852i
\(52\) −3.06066 7.35544i −0.424437 1.02002i
\(53\) 7.20515 7.63701i 0.989703 1.04902i −0.00909235 0.999959i \(-0.502894\pi\)
0.998796 0.0490655i \(-0.0156243\pi\)
\(54\) −9.81487 + 1.41812i −1.33563 + 0.192982i
\(55\) −1.45162 1.53863i −0.195737 0.207469i
\(56\) 0.649569 1.45390i 0.0868024 0.194285i
\(57\) 4.36072 + 5.69701i 0.577591 + 0.754587i
\(58\) 10.3831 6.45078i 1.36336 0.847029i
\(59\) −6.97807 + 1.18396i −0.908467 + 0.154139i −0.602700 0.797968i \(-0.705909\pi\)
−0.305767 + 0.952107i \(0.598913\pi\)
\(60\) 0.932955 + 0.259276i 0.120444 + 0.0334724i
\(61\) −1.34763 + 2.48011i −0.172546 + 0.317546i −0.950472 0.310811i \(-0.899400\pi\)
0.777926 + 0.628356i \(0.216272\pi\)
\(62\) 2.44005 + 9.47286i 0.309887 + 1.20305i
\(63\) 1.91456 6.73138i 0.241212 0.848074i
\(64\) −4.91367 0.381921i −0.614209 0.0477401i
\(65\) −0.202300 1.63884i −0.0250923 0.203274i
\(66\) 18.2398 + 9.44773i 2.24517 + 1.16294i
\(67\) −0.0407420 + 0.0211253i −0.00497743 + 0.00258087i −0.462801 0.886462i \(-0.653156\pi\)
0.457824 + 0.889043i \(0.348629\pi\)
\(68\) −7.30614 3.55176i −0.886000 0.430714i
\(69\) −0.978050 + 3.60960i −0.117743 + 0.434545i
\(70\) −0.966630 + 1.16723i −0.115534 + 0.139510i
\(71\) 1.52525 + 1.18216i 0.181014 + 0.140297i 0.699078 0.715045i \(-0.253594\pi\)
−0.518064 + 0.855342i \(0.673347\pi\)
\(72\) 2.04347 0.134031i 0.240825 0.0157957i
\(73\) 0.476852 0.152897i 0.0558113 0.0178952i −0.277289 0.960787i \(-0.589436\pi\)
0.333101 + 0.942891i \(0.391905\pi\)
\(74\) −2.71097 0.568912i −0.315144 0.0661347i
\(75\) −7.24465 4.36795i −0.836541 0.504367i
\(76\) 3.70134 + 5.70764i 0.424573 + 0.654711i
\(77\) −11.3420 + 9.02780i −1.29254 + 1.02881i
\(78\) 7.10996 + 14.3728i 0.805045 + 1.62740i
\(79\) 3.05305 16.0950i 0.343494 1.81083i −0.209682 0.977770i \(-0.567243\pi\)
0.553176 0.833064i \(-0.313416\pi\)
\(80\) −1.46741 0.534092i −0.164061 0.0597133i
\(81\) 8.80497 1.86349i 0.978330 0.207054i
\(82\) 2.52908 0.920511i 0.279291 0.101653i
\(83\) −1.35923 8.33750i −0.149195 0.915159i −0.949087 0.315015i \(-0.897990\pi\)
0.799892 0.600144i \(-0.204890\pi\)
\(84\) 2.30719 6.22182i 0.251735 0.678856i
\(85\) −1.26146 1.11532i −0.136824 0.120973i
\(86\) −13.5341 + 5.73456i −1.45942 + 0.618373i
\(87\) −9.02254 + 6.45475i −0.967318 + 0.692022i
\(88\) −3.60313 2.23855i −0.384095 0.238630i
\(89\) 4.15787 + 1.69868i 0.440733 + 0.180059i 0.587694 0.809083i \(-0.300036\pi\)
−0.146961 + 0.989142i \(0.546949\pi\)
\(90\) −1.90777 0.398654i −0.201097 0.0420219i
\(91\) −11.3077 + 0.438790i −1.18537 + 0.0459977i
\(92\) −1.19125 + 3.33995i −0.124196 + 0.348214i
\(93\) −2.76880 8.43493i −0.287111 0.874661i
\(94\) 5.58794 19.5830i 0.576352 2.01983i
\(95\) 0.421823 + 1.34543i 0.0432781 + 0.138038i
\(96\) 12.7985 + 0.160004i 1.30624 + 0.0163303i
\(97\) 2.50255 10.8718i 0.254095 1.10386i −0.676103 0.736807i \(-0.736333\pi\)
0.930199 0.367056i \(-0.119634\pi\)
\(98\) −2.12296 2.08219i −0.214452 0.210333i
\(99\) −17.0761 7.47979i −1.71621 0.751747i
\(100\) −6.52576 4.66433i −0.652576 0.466433i
\(101\) 1.80844 12.0738i 0.179946 1.20139i −0.695662 0.718370i \(-0.744889\pi\)
0.875608 0.483023i \(-0.160461\pi\)
\(102\) 15.1392 + 6.17750i 1.49900 + 0.611663i
\(103\) 0.900115 + 2.52369i 0.0886910 + 0.248666i 0.977987 0.208666i \(-0.0669121\pi\)
−0.889296 + 0.457332i \(0.848805\pi\)
\(104\) −1.23251 3.07342i −0.120857 0.301374i
\(105\) 0.806530 1.11412i 0.0787092 0.108727i
\(106\) −13.9382 + 14.3961i −1.35380 + 1.39828i
\(107\) −1.15154 19.7711i −0.111323 1.91135i −0.344294 0.938862i \(-0.611882\pi\)
0.232971 0.972484i \(-0.425155\pi\)
\(108\) 8.46113 1.11105i 0.814173 0.106911i
\(109\) −0.590001 + 10.1299i −0.0565119 + 0.970271i 0.844248 + 0.535953i \(0.180048\pi\)
−0.900760 + 0.434318i \(0.856989\pi\)
\(110\) 2.73221 + 2.97203i 0.260506 + 0.283372i
\(111\) 2.48871 + 0.355245i 0.236218 + 0.0337183i
\(112\) −4.49126 + 9.71339i −0.424385 + 0.917829i
\(113\) 3.72156 2.73339i 0.350095 0.257136i −0.402783 0.915295i \(-0.631957\pi\)
0.752878 + 0.658160i \(0.228665\pi\)
\(114\) −8.18112 10.9794i −0.766232 1.02831i
\(115\) −0.423515 + 0.600700i −0.0394930 + 0.0560156i
\(116\) −9.00602 + 5.43516i −0.836188 + 0.504642i
\(117\) −7.28717 12.5969i −0.673699 1.16458i
\(118\) 13.3457 2.08722i 1.22857 0.192144i
\(119\) −8.34185 + 7.97268i −0.764696 + 0.730854i
\(120\) 0.386350 + 0.112770i 0.0352688 + 0.0102945i
\(121\) 14.1158 + 23.7352i 1.28325 + 2.15775i
\(122\) 2.63291 4.69961i 0.238372 0.425483i
\(123\) −2.23610 + 0.982890i −0.201622 + 0.0886242i
\(124\) −1.99419 8.17822i −0.179084 0.734426i
\(125\) −2.11234 2.61889i −0.188934 0.234241i
\(126\) −3.81969 + 12.7984i −0.340285 + 1.14018i
\(127\) 0.159797 + 8.23911i 0.0141797 + 0.731103i 0.937679 + 0.347503i \(0.112970\pi\)
−0.923499 + 0.383600i \(0.874684\pi\)
\(128\) −5.35163 0.485642i −0.473022 0.0429251i
\(129\) 11.9185 5.99206i 1.04936 0.527572i
\(130\) 0.345620 + 3.13244i 0.0303129 + 0.274734i
\(131\) 13.1703 1.19515i 1.15069 0.104421i 0.501577 0.865113i \(-0.332753\pi\)
0.649113 + 0.760692i \(0.275140\pi\)
\(132\) −15.5896 8.33236i −1.35690 0.725239i
\(133\) 9.43027 2.10664i 0.817708 0.182669i
\(134\) 0.0782703 0.0393088i 0.00676152 0.00339576i
\(135\) 1.75126 + 0.248453i 0.150725 + 0.0213834i
\(136\) −3.01740 1.51540i −0.258740 0.129944i
\(137\) 12.9530 + 3.24734i 1.10665 + 0.277439i 0.753053 0.657960i \(-0.228580\pi\)
0.353596 + 0.935398i \(0.384959\pi\)
\(138\) 1.95550 6.86418i 0.166463 0.584318i
\(139\) 11.7264 + 1.67897i 0.994622 + 0.142409i 0.619860 0.784712i \(-0.287189\pi\)
0.374762 + 0.927121i \(0.377724\pi\)
\(140\) 0.844737 0.993603i 0.0713933 0.0839748i
\(141\) −3.90499 + 18.0647i −0.328859 + 1.52132i
\(142\) −2.88152 2.29358i −0.241812 0.192473i
\(143\) −2.91830 + 30.0028i −0.244041 + 2.50896i
\(144\) −13.7432 + 0.723120i −1.14527 + 0.0602600i
\(145\) −2.10042 + 0.584691i −0.174430 + 0.0485559i
\(146\) −0.913763 + 0.280011i −0.0756236 + 0.0231739i
\(147\) 2.04550 + 1.76041i 0.168710 + 0.145196i
\(148\) 2.32637 + 0.519688i 0.191226 + 0.0427181i
\(149\) 9.62703 2.41351i 0.788677 0.197723i 0.172165 0.985068i \(-0.444924\pi\)
0.616512 + 0.787346i \(0.288545\pi\)
\(150\) 13.7174 + 8.51423i 1.12002 + 0.695184i
\(151\) −13.1173 15.4289i −1.06747 1.25559i −0.965390 0.260809i \(-0.916011\pi\)
−0.102078 0.994776i \(-0.532549\pi\)
\(152\) 1.50764 + 2.39203i 0.122285 + 0.194019i
\(153\) −14.0751 4.70114i −1.13790 0.380065i
\(154\) 21.8669 16.9482i 1.76209 1.36572i
\(155\) 0.0563827 1.74386i 0.00452877 0.140070i
\(156\) −5.95798 12.4464i −0.477020 0.996509i
\(157\) −1.15808 + 9.38163i −0.0924245 + 0.748735i 0.872939 + 0.487829i \(0.162211\pi\)
−0.965364 + 0.260907i \(0.915978\pi\)
\(158\) −6.22332 + 30.6393i −0.495101 + 2.43753i
\(159\) 11.7733 13.8601i 0.933686 1.09918i
\(160\) 2.35250 + 0.890847i 0.185981 + 0.0704277i
\(161\) 3.85844 + 3.23762i 0.304088 + 0.255160i
\(162\) −16.8487 + 3.33890i −1.32376 + 0.262329i
\(163\) −8.20001 + 6.88062i −0.642274 + 0.538932i −0.904716 0.426016i \(-0.859917\pi\)
0.262441 + 0.964948i \(0.415472\pi\)
\(164\) −2.18643 + 0.763932i −0.170731 + 0.0596531i
\(165\) −2.64976 2.53033i −0.206284 0.196986i
\(166\) 2.38815 + 15.9442i 0.185356 + 1.23751i
\(167\) 6.24540 12.2377i 0.483284 0.946984i −0.512795 0.858511i \(-0.671390\pi\)
0.996079 0.0884726i \(-0.0281986\pi\)
\(168\) 0.992316 2.57343i 0.0765588 0.198545i
\(169\) −7.02674 + 7.84468i −0.540518 + 0.603437i
\(170\) 2.37975 + 2.15951i 0.182519 + 0.165627i
\(171\) 8.05699 + 9.46046i 0.616133 + 0.723460i
\(172\) 11.7094 4.78382i 0.892834 0.364763i
\(173\) 3.07978 + 0.522544i 0.234151 + 0.0397283i 0.283171 0.959070i \(-0.408614\pi\)
−0.0490193 + 0.998798i \(0.515610\pi\)
\(174\) 17.3772 12.0952i 1.31736 0.916932i
\(175\) −9.43749 + 6.38344i −0.713407 + 0.482542i
\(176\) 24.0177 + 15.3556i 1.81040 + 1.15747i
\(177\) −11.9631 + 2.67780i −0.899199 + 0.201276i
\(178\) −7.89266 3.34422i −0.591580 0.250660i
\(179\) 6.95867 + 14.5528i 0.520115 + 1.08773i 0.979861 + 0.199679i \(0.0639898\pi\)
−0.459746 + 0.888050i \(0.652060\pi\)
\(180\) 1.63713 + 0.364252i 0.122025 + 0.0271498i
\(181\) 10.4104 + 2.89794i 0.773800 + 0.215402i 0.632495 0.774564i \(-0.282031\pi\)
0.141304 + 0.989966i \(0.454870\pi\)
\(182\) 21.5896 0.558361i 1.60033 0.0413885i
\(183\) −2.10711 + 4.41149i −0.155762 + 0.326107i
\(184\) −0.513039 + 1.38171i −0.0378217 + 0.101861i
\(185\) 0.435638 + 0.233080i 0.0320287 + 0.0171364i
\(186\) 5.07566 + 16.1649i 0.372165 + 1.18527i
\(187\) 18.0352 + 24.8910i 1.31887 + 1.82021i
\(188\) −5.02609 + 16.7883i −0.366566 + 1.22441i
\(189\) 2.70397 11.8161i 0.196685 0.859493i
\(190\) −0.771780 2.57792i −0.0559908 0.187022i
\(191\) 5.08765 6.65259i 0.368129 0.481364i −0.572931 0.819604i \(-0.694194\pi\)
0.941060 + 0.338240i \(0.109831\pi\)
\(192\) −8.53364 0.217053i −0.615862 0.0156644i
\(193\) 10.1853 4.78964i 0.733157 0.344766i −0.0224884 0.999747i \(-0.507159\pi\)
0.755645 + 0.654981i \(0.227323\pi\)
\(194\) −5.04393 + 20.6852i −0.362133 + 1.48511i
\(195\) −0.497856 2.81644i −0.0356522 0.201690i
\(196\) 1.80357 + 1.81527i 0.128827 + 0.129662i
\(197\) 12.2618 2.40815i 0.873619 0.171573i 0.264245 0.964456i \(-0.414877\pi\)
0.609375 + 0.792882i \(0.291421\pi\)
\(198\) 32.4022 + 14.6952i 2.30272 + 1.04434i
\(199\) 6.78696 3.74489i 0.481115 0.265468i −0.223963 0.974598i \(-0.571900\pi\)
0.705078 + 0.709130i \(0.250912\pi\)
\(200\) −2.68709 1.97360i −0.190006 0.139554i
\(201\) −0.0685643 + 0.0402182i −0.00483615 + 0.00283677i
\(202\) −3.74899 + 22.9962i −0.263778 + 1.61801i
\(203\) 2.78455 + 14.6796i 0.195437 + 1.03031i
\(204\) −12.9580 5.48395i −0.907244 0.383953i
\(205\) −0.479045 + 0.0310095i −0.0334580 + 0.00216580i
\(206\) −1.65545 4.83823i −0.115341 0.337096i
\(207\) −1.36589 + 6.33181i −0.0949361 + 0.440091i
\(208\) 8.01513 + 20.7597i 0.555750 + 1.43943i
\(209\) −2.16048 25.6490i −0.149444 1.77418i
\(210\) −1.56661 + 2.10620i −0.108106 + 0.145342i
\(211\) −8.94938 + 13.4171i −0.616101 + 0.923674i 0.383899 + 0.923375i \(0.374581\pi\)
−1.00000 0.000299476i \(0.999905\pi\)
\(212\) 12.1535 12.2323i 0.834706 0.840119i
\(213\) 2.74494 + 1.90710i 0.188080 + 0.130672i
\(214\) 1.70970 + 37.7582i 0.116872 + 2.58110i
\(215\) 2.60402 0.304366i 0.177593 0.0207576i
\(216\) 3.52248 0.416296i 0.239674 0.0283253i
\(217\) −11.8760 1.38811i −0.806195 0.0942307i
\(218\) 1.37585 19.3167i 0.0931844 1.30829i
\(219\) 0.811008 0.307510i 0.0548028 0.0207796i
\(220\) −2.31791 2.58772i −0.156273 0.174464i
\(221\) −0.155107 + 23.9945i −0.0104336 + 1.61405i
\(222\) −4.74051 0.739327i −0.318162 0.0496204i
\(223\) −10.9348 + 9.66798i −0.732247 + 0.647416i −0.944014 0.329904i \(-0.892983\pi\)
0.211767 + 0.977320i \(0.432078\pi\)
\(224\) 7.43658 15.5523i 0.496878 1.03913i
\(225\) −12.9253 6.90126i −0.861690 0.460084i
\(226\) −7.16940 + 5.12438i −0.476902 + 0.340869i
\(227\) 6.31727 + 12.3786i 0.419292 + 0.821593i 0.999972 + 0.00746157i \(0.00237511\pi\)
−0.580680 + 0.814132i \(0.697213\pi\)
\(228\) 6.91743 + 9.53837i 0.458118 + 0.631694i
\(229\) −5.59412 7.31484i −0.369670 0.483378i 0.571840 0.820365i \(-0.306230\pi\)
−0.941509 + 0.336987i \(0.890592\pi\)
\(230\) 0.823026 1.13588i 0.0542687 0.0748979i
\(231\) −18.8032 + 16.6392i −1.23716 + 1.09478i
\(232\) −3.77217 + 2.21050i −0.247655 + 0.145126i
\(233\) 1.00814 + 4.65409i 0.0660455 + 0.304900i 0.998393 0.0566626i \(-0.0180459\pi\)
−0.932348 + 0.361562i \(0.882243\pi\)
\(234\) 13.5955 + 24.2188i 0.888766 + 1.58323i
\(235\) −1.93677 + 3.07289i −0.126341 + 0.200453i
\(236\) −11.5067 + 1.64751i −0.749022 + 0.107244i
\(237\) 3.82795 28.1151i 0.248652 1.82628i
\(238\) 16.1157 15.0087i 1.04463 0.972867i
\(239\) −5.66761 10.4304i −0.366607 0.674686i 0.628021 0.778196i \(-0.283865\pi\)
−0.994628 + 0.103510i \(0.966993\pi\)
\(240\) −2.58638 0.791356i −0.166950 0.0510818i
\(241\) −7.79823 + 13.1125i −0.502328 + 0.844648i −0.999739 0.0228670i \(-0.992721\pi\)
0.497410 + 0.867515i \(0.334284\pi\)
\(242\) −26.3519 45.6429i −1.69397 2.93404i
\(243\) 15.0617 4.01809i 0.966209 0.257760i
\(244\) −2.31781 + 4.01456i −0.148383 + 0.257006i
\(245\) 0.259234 + 0.462720i 0.0165618 + 0.0295621i
\(246\) 4.29146 1.82050i 0.273613 0.116071i
\(247\) 10.4931 17.1357i 0.667663 1.09032i
\(248\) −0.784857 3.40964i −0.0498385 0.216512i
\(249\) −3.10368 14.2987i −0.196688 0.906140i
\(250\) 3.96642 + 5.04982i 0.250859 + 0.319379i
\(251\) −4.77507 9.06525i −0.301400 0.572194i 0.686529 0.727103i \(-0.259134\pi\)
−0.987929 + 0.154909i \(0.950492\pi\)
\(252\) 3.42909 10.9701i 0.216013 0.691053i
\(253\) 9.93608 9.01651i 0.624676 0.566863i
\(254\) −0.101663 15.7269i −0.00637889 0.986791i
\(255\) −2.28262 1.81529i −0.142943 0.113678i
\(256\) 20.0050 + 2.07646i 1.25031 + 0.129779i
\(257\) −22.4584 + 2.91979i −1.40091 + 0.182131i −0.791717 0.610887i \(-0.790813\pi\)
−0.609197 + 0.793019i \(0.708508\pi\)
\(258\) −22.8922 + 11.1408i −1.42521 + 0.693593i
\(259\) 1.84223 2.84081i 0.114471 0.176519i
\(260\) −0.262546 2.69920i −0.0162824 0.167398i
\(261\) −15.0236 + 11.9792i −0.929937 + 0.741495i
\(262\) −25.1627 + 1.95580i −1.55455 + 0.120829i
\(263\) 0.104457 + 0.514275i 0.00644111 + 0.0317115i 0.983081 0.183169i \(-0.0586357\pi\)
−0.976640 + 0.214881i \(0.931064\pi\)
\(264\) −6.43439 3.54676i −0.396009 0.218288i
\(265\) 3.10671 1.76699i 0.190844 0.108545i
\(266\) −18.0480 + 3.78748i −1.10660 + 0.232225i
\(267\) 7.34519 + 2.56287i 0.449518 + 0.156845i
\(268\) −0.0677862 + 0.0329531i −0.00414070 + 0.00201293i
\(269\) 8.84745 11.8842i 0.539438 0.724591i −0.445923 0.895071i \(-0.647124\pi\)
0.985361 + 0.170480i \(0.0545318\pi\)
\(270\) −3.33585 0.517338i −0.203013 0.0314842i
\(271\) −13.9394 18.7238i −0.846757 1.13739i −0.989052 0.147568i \(-0.952855\pi\)
0.142295 0.989824i \(-0.454552\pi\)
\(272\) 20.1446 + 10.4452i 1.22144 + 0.633336i
\(273\) −19.5193 + 1.77971i −1.18136 + 0.107713i
\(274\) −24.6384 6.51657i −1.48846 0.393681i
\(275\) 13.4457 + 27.2098i 0.810808 + 1.64081i
\(276\) −1.75900 + 5.88463i −0.105880 + 0.354213i
\(277\) −13.9370 + 9.69179i −0.837391 + 0.582323i −0.909798 0.415052i \(-0.863763\pi\)
0.0724066 + 0.997375i \(0.476932\pi\)
\(278\) −22.3364 3.49335i −1.33965 0.209518i
\(279\) −5.55060 14.3399i −0.332306 0.858509i
\(280\) 0.356418 0.408409i 0.0213000 0.0244071i
\(281\) 13.0719 26.4533i 0.779805 1.57807i −0.0357271 0.999362i \(-0.511375\pi\)
0.815532 0.578711i \(-0.196444\pi\)
\(282\) 7.89770 34.3771i 0.470301 2.04712i
\(283\) 11.6415 10.0277i 0.692017 0.596085i −0.234600 0.972092i \(-0.575378\pi\)
0.926617 + 0.376007i \(0.122703\pi\)
\(284\) 2.45393 + 2.00561i 0.145614 + 0.119011i
\(285\) 0.851076 + 2.28910i 0.0504134 + 0.135595i
\(286\) 6.30934 57.1832i 0.373079 3.38131i
\(287\) −0.0637927 + 3.28913i −0.00376556 + 0.194151i
\(288\) 22.1520 0.878554i 1.30532 0.0517693i
\(289\) 4.91010 + 5.62636i 0.288830 + 0.330962i
\(290\) 4.02271 1.06396i 0.236222 0.0624778i
\(291\) 3.34726 19.0308i 0.196220 1.11561i
\(292\) 0.789376 0.230774i 0.0461948 0.0135051i
\(293\) −2.37020 + 28.1387i −0.138469 + 1.64388i 0.494119 + 0.869394i \(0.335491\pi\)
−0.632588 + 0.774489i \(0.718007\pi\)
\(294\) −3.86004 3.40992i −0.225122 0.198870i
\(295\) −2.38921 0.310618i −0.139105 0.0180849i
\(296\) 0.964062 + 0.228487i 0.0560350 + 0.0132805i
\(297\) −30.2116 11.3963i −1.75306 0.661282i
\(298\) −18.4311 + 4.36824i −1.06768 + 0.253046i
\(299\) 10.4179 1.08135i 0.602485 0.0625363i
\(300\) −11.7086 7.47880i −0.675998 0.431789i
\(301\) −0.580601 17.9574i −0.0334653 1.03505i
\(302\) 24.6514 + 29.7670i 1.41853 + 1.71290i
\(303\) 2.03815 21.0473i 0.117089 1.20914i
\(304\) −9.92312 16.2048i −0.569130 0.929410i
\(305\) −0.685962 + 0.672787i −0.0392781 + 0.0385237i
\(306\) 26.7439 + 9.31859i 1.52884 + 0.532708i
\(307\) −11.1420 + 16.2454i −0.635905 + 0.927172i −0.999991 0.00419337i \(-0.998665\pi\)
0.364086 + 0.931365i \(0.381381\pi\)
\(308\) −19.0043 + 14.3400i −1.08287 + 0.817099i
\(309\) 1.78474 + 4.28396i 0.101530 + 0.243706i
\(310\) −0.150623 + 3.32646i −0.00855480 + 0.188930i
\(311\) −0.436710 6.13131i −0.0247635 0.347675i −0.994590 0.103879i \(-0.966875\pi\)
0.969826 0.243796i \(-0.0783928\pi\)
\(312\) −2.40930 5.20483i −0.136400 0.294665i
\(313\) 9.34726 + 25.1739i 0.528338 + 1.42291i 0.874633 + 0.484785i \(0.161102\pi\)
−0.346295 + 0.938126i \(0.612560\pi\)
\(314\) 2.44146 17.8747i 0.137780 1.00872i
\(315\) 1.29448 1.99989i 0.0729357 0.112681i
\(316\) 5.69582 26.2948i 0.320415 1.47920i
\(317\) 8.42259 + 25.6958i 0.473060 + 1.44322i 0.854804 + 0.518952i \(0.173677\pi\)
−0.381744 + 0.924268i \(0.624676\pi\)
\(318\) −22.8094 + 26.1592i −1.27908 + 1.46693i
\(319\) 39.7480 2.05734i 2.22546 0.115189i
\(320\) −1.56115 0.614369i −0.0872707 0.0343442i
\(321\) −3.77654 34.0941i −0.210786 1.90295i
\(322\) −7.28330 6.27364i −0.405882 0.349616i
\(323\) −3.55787 20.1777i −0.197965 1.12272i
\(324\) 14.5349 2.68556i 0.807495 0.149198i
\(325\) −4.11417 + 23.3326i −0.228213 + 1.29426i
\(326\) 15.8181 12.9282i 0.876082 0.716025i
\(327\) −0.106100 + 17.5750i −0.00586737 + 0.971898i
\(328\) −0.912801 + 0.305747i −0.0504010 + 0.0168821i
\(329\) 19.8701 + 14.9933i 1.09547 + 0.826608i
\(330\) 4.99418 + 4.89408i 0.274921 + 0.269410i
\(331\) 10.0075 5.35432i 0.550062 0.294300i −0.173185 0.984889i \(-0.555406\pi\)
0.723247 + 0.690589i \(0.242649\pi\)
\(332\) −1.87754 13.7460i −0.103043 0.754411i
\(333\) 4.33678 + 0.389812i 0.237654 + 0.0213615i
\(334\) −12.2202 + 23.1995i −0.668660 + 1.26942i
\(335\) −0.0153671 + 0.00281218i −0.000839594 + 0.000153646i
\(336\) −6.89170 + 17.2066i −0.375973 + 0.938699i
\(337\) −11.7862 12.1735i −0.642038 0.663132i 0.316336 0.948647i \(-0.397547\pi\)
−0.958374 + 0.285515i \(0.907835\pi\)
\(338\) 13.6029 14.7969i 0.739899 0.804843i
\(339\) 6.19043 5.06388i 0.336218 0.275032i
\(340\) −2.02367 1.88466i −0.109749 0.102210i
\(341\) −7.94494 + 30.8442i −0.430243 + 1.67030i
\(342\) −15.1420 18.2525i −0.818783 0.986980i
\(343\) 18.1747 8.26142i 0.981342 0.446075i
\(344\) 4.89222 1.92527i 0.263771 0.103804i
\(345\) −0.678327 + 1.07726i −0.0365199 + 0.0579977i
\(346\) −5.86434 1.07317i −0.315269 0.0576941i
\(347\) 1.87183 2.38310i 0.100485 0.127932i −0.733568 0.679616i \(-0.762146\pi\)
0.834053 + 0.551684i \(0.186015\pi\)
\(348\) −15.0871 + 10.2142i −0.808751 + 0.547536i
\(349\) −7.49201 26.2558i −0.401038 1.40544i −0.856942 0.515413i \(-0.827639\pi\)
0.455904 0.890029i \(-0.349316\pi\)
\(350\) 18.1673 11.9488i 0.971085 0.638692i
\(351\) −13.7417 21.1310i −0.733478 1.12789i
\(352\) −38.3666 25.2341i −2.04495 1.34498i
\(353\) −3.58220 + 11.4256i −0.190661 + 0.608126i 0.809129 + 0.587632i \(0.199940\pi\)
−0.999790 + 0.0204940i \(0.993476\pi\)
\(354\) 22.8955 4.81497i 1.21688 0.255913i
\(355\) 0.378516 + 0.536876i 0.0200896 + 0.0284944i
\(356\) 6.75416 + 2.96539i 0.357970 + 0.157165i
\(357\) −13.7092 + 14.5433i −0.725567 + 0.769714i
\(358\) −12.9204 27.9433i −0.682862 1.47685i
\(359\) −32.2205 17.7785i −1.70053 0.938315i −0.965545 0.260237i \(-0.916199\pi\)
−0.734989 0.678079i \(-0.762813\pi\)
\(360\) 0.678448 + 0.160183i 0.0357573 + 0.00844238i
\(361\) 0.663711 1.71905i 0.0349322 0.0904766i
\(362\) −19.7950 5.78707i −1.04040 0.304161i
\(363\) 26.5586 + 39.7805i 1.39397 + 2.08794i
\(364\) −18.5833 + 0.240265i −0.974030 + 0.0125933i
\(365\) 0.170449 0.00220375i 0.00892169 0.000115349i
\(366\) 4.12990 8.36658i 0.215873 0.437328i
\(367\) 8.75097 + 2.55835i 0.456797 + 0.133545i 0.500943 0.865480i \(-0.332987\pi\)
−0.0441460 + 0.999025i \(0.514057\pi\)
\(368\) 3.56754 9.24016i 0.185971 0.481676i
\(369\) −3.77904 + 1.90195i −0.196729 + 0.0990117i
\(370\) −0.825589 0.455541i −0.0429203 0.0236824i
\(371\) −10.2794 22.2315i −0.533678 1.15420i
\(372\) −4.18759 13.9658i −0.217117 0.724094i
\(373\) 19.8348 + 8.70841i 1.02701 + 0.450904i 0.846342 0.532640i \(-0.178800\pi\)
0.180666 + 0.983544i \(0.442175\pi\)
\(374\) −33.8030 47.9451i −1.74791 2.47918i
\(375\) −3.89012 4.33921i −0.200885 0.224076i
\(376\) −2.17909 + 6.95034i −0.112378 + 0.358436i
\(377\) 25.9586 + 17.0732i 1.33694 + 0.879316i
\(378\) −5.45160 + 22.4822i −0.280400 + 1.15636i
\(379\) −24.6215 + 16.1938i −1.26472 + 0.831821i −0.991497 0.130130i \(-0.958461\pi\)
−0.273225 + 0.961950i \(0.588090\pi\)
\(380\) 0.635410 + 2.22680i 0.0325959 + 0.114232i
\(381\) 1.02014 + 14.2367i 0.0522634 + 0.729370i
\(382\) −9.87304 + 12.5698i −0.505149 + 0.643126i
\(383\) −5.74254 1.05088i −0.293430 0.0536977i 0.0312818 0.999511i \(-0.490041\pi\)
−0.324712 + 0.945813i \(0.605267\pi\)
\(384\) −9.30054 0.356924i −0.474616 0.0182142i
\(385\) −4.59182 + 1.80705i −0.234021 + 0.0920960i
\(386\) −19.5551 + 8.88890i −0.995331 + 0.452433i
\(387\) 20.0745 11.4403i 1.02044 0.581545i
\(388\) 4.57025 17.7428i 0.232019 0.900753i
\(389\) −6.35779 5.92105i −0.322353 0.300209i 0.503614 0.863929i \(-0.332004\pi\)
−0.825966 + 0.563720i \(0.809370\pi\)
\(390\) 0.880582 + 5.38698i 0.0445900 + 0.272780i
\(391\) 7.22815 7.86259i 0.365543 0.397628i
\(392\) 0.739824 + 0.764130i 0.0373667 + 0.0385944i
\(393\) 22.6727 3.25612i 1.14368 0.164250i
\(394\) −23.4590 + 4.29300i −1.18185 + 0.216278i
\(395\) 2.59891 4.93390i 0.130765 0.248252i
\(396\) −27.7175 13.0052i −1.39286 0.653536i
\(397\) −3.41893 25.0310i −0.171591 1.25627i −0.852040 0.523476i \(-0.824635\pi\)
0.680449 0.732795i \(-0.261785\pi\)
\(398\) −13.0441 + 6.97902i −0.653844 + 0.349826i
\(399\) 16.1214 4.49511i 0.807077 0.225037i
\(400\) 17.8851 + 13.4955i 0.894256 + 0.674777i
\(401\) −21.6863 + 7.26393i −1.08296 + 0.362743i −0.802213 0.597038i \(-0.796344\pi\)
−0.280749 + 0.959781i \(0.590583\pi\)
\(402\) 0.131836 0.0750578i 0.00657536 0.00374354i
\(403\) −19.2518 + 15.7346i −0.959000 + 0.783794i
\(404\) 3.48171 19.7458i 0.173221 0.982388i
\(405\) 3.05158 + 0.271663i 0.151634 + 0.0134990i
\(406\) −4.95165 28.0822i −0.245746 1.39370i
\(407\) −6.83368 5.88636i −0.338733 0.291776i
\(408\) −5.35598 2.34880i −0.265161 0.116283i
\(409\) −0.261397 0.102869i −0.0129253 0.00508657i 0.359729 0.933057i \(-0.382869\pi\)
−0.372654 + 0.927970i \(0.621552\pi\)
\(410\) 0.914940 0.0473569i 0.0451857 0.00233879i
\(411\) 22.6979 + 4.44765i 1.11960 + 0.219386i
\(412\) 1.37063 + 4.18155i 0.0675261 + 0.206010i
\(413\) −3.49544 + 16.1367i −0.171999 + 0.794037i
\(414\) 2.76280 12.0495i 0.135784 0.592199i
\(415\) 0.389158 2.84914i 0.0191030 0.139859i
\(416\) −12.4780 33.6056i −0.611786 1.64765i
\(417\) 20.4347 + 1.84558i 1.00069 + 0.0903782i
\(418\) 3.49007 + 48.9999i 0.170705 + 2.39667i
\(419\) 1.47678 32.6144i 0.0721456 1.59332i −0.566663 0.823950i \(-0.691766\pi\)
0.638808 0.769366i \(-0.279428\pi\)
\(420\) 1.37145 1.79489i 0.0669197 0.0875815i
\(421\) −31.8561 + 24.0376i −1.55257 + 1.17152i −0.635970 + 0.771714i \(0.719400\pi\)
−0.916600 + 0.399805i \(0.869078\pi\)
\(422\) 17.4094 25.3835i 0.847476 1.23565i
\(423\) −5.12375 + 31.5990i −0.249125 + 1.53640i
\(424\) 5.11682 5.01854i 0.248495 0.243722i
\(425\) 12.6165 + 20.6032i 0.611989 + 0.999401i
\(426\) −5.19119 3.70709i −0.251514 0.179609i
\(427\) 4.19975 + 5.07128i 0.203240 + 0.245417i
\(428\) −1.05107 32.5086i −0.0508056 1.57136i
\(429\) −2.33945 + 52.1592i −0.112950 + 2.51827i
\(430\) −4.97683 + 0.516582i −0.240004 + 0.0249118i
\(431\) 16.1667 3.83159i 0.778725 0.184561i 0.178014 0.984028i \(-0.443033\pi\)
0.600710 + 0.799467i \(0.294885\pi\)
\(432\) −23.7064 + 2.49137i −1.14057 + 0.119866i
\(433\) 15.3720 + 3.64324i 0.738733 + 0.175083i 0.582721 0.812672i \(-0.301988\pi\)
0.156012 + 0.987755i \(0.450136\pi\)
\(434\) 22.6291 + 2.94198i 1.08623 + 0.141219i
\(435\) −3.58030 + 1.20094i −0.171662 + 0.0575807i
\(436\) −1.39877 + 16.6060i −0.0669890 + 0.795284i
\(437\) −8.58418 + 2.50959i −0.410637 + 0.120050i
\(438\) −1.55526 + 0.566820i −0.0743130 + 0.0270837i
\(439\) −16.6431 + 4.40191i −0.794333 + 0.210092i −0.630288 0.776361i \(-0.717063\pi\)
−0.164045 + 0.986453i \(0.552454\pi\)
\(440\) −0.949435 1.08793i −0.0452626 0.0518651i
\(441\) 3.69700 + 2.86034i 0.176048 + 0.136207i
\(442\) 0.888011 45.7856i 0.0422384 2.17780i
\(443\) −2.15412 + 19.5233i −0.102345 + 0.927581i 0.827958 + 0.560790i \(0.189502\pi\)
−0.930303 + 0.366791i \(0.880456\pi\)
\(444\) 4.07082 + 0.688904i 0.193193 + 0.0326939i
\(445\) 1.18383 + 0.967548i 0.0561189 + 0.0458662i
\(446\) 21.1057 18.1799i 0.999383 0.860842i
\(447\) 16.4340 5.04367i 0.777300 0.238557i
\(448\) −5.09337 + 10.3073i −0.240639 + 0.486976i
\(449\) 14.9236 17.1005i 0.704286 0.807023i −0.284131 0.958786i \(-0.591705\pi\)
0.988417 + 0.151763i \(0.0484950\pi\)
\(450\) 24.4955 + 13.4888i 1.15473 + 0.635867i
\(451\) 8.65808 + 1.35410i 0.407693 + 0.0637620i
\(452\) 6.22603 4.32959i 0.292848 0.203647i
\(453\) −24.0817 25.5032i −1.13145 1.19825i
\(454\) −11.7500 23.7782i −0.551455 1.11597i
\(455\) −3.72404 0.984963i −0.174586 0.0461758i
\(456\) 2.82368 + 4.00139i 0.132231 + 0.187382i
\(457\) 8.26707 + 4.28660i 0.386717 + 0.200519i 0.642622 0.766183i \(-0.277847\pi\)
−0.255905 + 0.966702i \(0.582373\pi\)
\(458\) 10.4949 + 14.0971i 0.490396 + 0.658716i
\(459\) −24.7700 6.86100i −1.15616 0.320244i
\(460\) −0.720822 + 0.968232i −0.0336085 + 0.0451441i
\(461\) 21.6978 10.5480i 1.01057 0.491270i 0.143600 0.989636i \(-0.454132\pi\)
0.866967 + 0.498366i \(0.166066\pi\)
\(462\) 36.2933 31.2891i 1.68852 1.45570i
\(463\) −28.7988 + 6.04359i −1.33839 + 0.280870i −0.819063 0.573703i \(-0.805506\pi\)
−0.519332 + 0.854573i \(0.673819\pi\)
\(464\) 25.5401 14.5263i 1.18567 0.674366i
\(465\) −0.0598920 3.02143i −0.00277743 0.140116i
\(466\) −1.80903 8.90641i −0.0838018 0.412582i
\(467\) −37.7389 + 2.93330i −1.74635 + 0.135737i −0.910577 0.413340i \(-0.864362\pi\)
−0.835772 + 0.549077i \(0.814979\pi\)
\(468\) −11.4290 20.9907i −0.528307 0.970294i
\(469\) 0.0103645 + 0.106556i 0.000478587 + 0.00492031i
\(470\) 3.77180 5.81630i 0.173980 0.268286i
\(471\) −1.15625 + 16.3319i −0.0532770 + 0.752535i
\(472\) −4.79112 + 0.622888i −0.220529 + 0.0286707i
\(473\) −47.6045 4.94122i −2.18886 0.227198i
\(474\) −7.99867 + 53.5585i −0.367391 + 2.46002i
\(475\) −0.130774 20.2303i −0.00600032 0.928228i
\(476\) −14.0340 + 12.7351i −0.643246 + 0.583714i
\(477\) 19.1132 25.0366i 0.875131 1.14635i
\(478\) 10.5583 + 20.0444i 0.482926 + 0.916812i
\(479\) 1.39671 + 1.77821i 0.0638172 + 0.0812484i 0.817275 0.576248i \(-0.195484\pi\)
−0.753458 + 0.657496i \(0.771615\pi\)
\(480\) 4.14953 + 1.32854i 0.189399 + 0.0606392i
\(481\) −1.57939 6.86132i −0.0720140 0.312849i
\(482\) 15.2051 24.8305i 0.692574 1.13100i
\(483\) 6.96620 + 5.25180i 0.316973 + 0.238965i
\(484\) 22.1671 + 39.5673i 1.00760 + 1.79851i
\(485\) 1.89880 3.28881i 0.0862200 0.149337i
\(486\) −28.8418 + 7.29621i −1.30829 + 0.330963i
\(487\) −13.1822 22.8322i −0.597343 1.03463i −0.993212 0.116321i \(-0.962890\pi\)
0.395869 0.918307i \(-0.370443\pi\)
\(488\) −0.984870 + 1.65603i −0.0445830 + 0.0749648i
\(489\) −13.5624 + 12.6416i −0.613314 + 0.571673i
\(490\) −0.483286 0.889417i −0.0218327 0.0401798i
\(491\) 12.2683 11.4256i 0.553661 0.515628i −0.354049 0.935227i \(-0.615195\pi\)
0.907710 + 0.419599i \(0.137829\pi\)
\(492\) −3.71290 + 1.51874i −0.167391 + 0.0684700i
\(493\) 31.3621 4.49037i 1.41248 0.202236i
\(494\) −20.4471 + 32.4416i −0.919960 + 1.45962i
\(495\) −4.81169 4.13751i −0.216270 0.185967i
\(496\) 4.97782 + 22.9802i 0.223511 + 1.03184i
\(497\) 3.88393 2.27599i 0.174218 0.102092i
\(498\) 5.57005 + 27.3631i 0.249600 + 1.22617i
\(499\) −2.39162 + 3.30074i −0.107063 + 0.147762i −0.859931 0.510411i \(-0.829493\pi\)
0.752867 + 0.658172i \(0.228670\pi\)
\(500\) −3.35679 4.38932i −0.150120 0.196297i
\(501\) 9.69796 21.7313i 0.433273 0.970884i
\(502\) 8.88874 + 17.4173i 0.396724 + 0.777372i
\(503\) −8.82633 + 6.30868i −0.393546 + 0.281290i −0.761000 0.648752i \(-0.775291\pi\)
0.367454 + 0.930042i \(0.380230\pi\)
\(504\) 1.48410 4.54084i 0.0661072 0.202265i
\(505\) 1.79277 3.74927i 0.0797774 0.166840i
\(506\) −19.1838 + 16.9613i −0.852822 + 0.754022i
\(507\) −11.4460 + 14.2032i −0.508334 + 0.630787i
\(508\) −0.0874846 + 13.5336i −0.00388150 + 0.600454i
\(509\) −19.4854 21.7536i −0.863676 0.964212i 0.135973 0.990713i \(-0.456584\pi\)
−0.999649 + 0.0265010i \(0.991563\pi\)
\(510\) 4.31119 + 3.52048i 0.190903 + 0.155890i
\(511\) 0.0829944 1.16523i 0.00367146 0.0515465i
\(512\) −27.4503 3.20848i −1.21314 0.141796i
\(513\) 14.7901 + 15.6364i 0.653001 + 0.690365i
\(514\) 42.9300 5.01779i 1.89356 0.221325i
\(515\) 0.0412570 + 0.911149i 0.00181800 + 0.0401500i
\(516\) 19.8219 9.33156i 0.872610 0.410799i
\(517\) 46.7353 47.0384i 2.05542 2.06875i
\(518\) −3.58568 + 5.37574i −0.157546 + 0.236197i
\(519\) 5.37426 + 0.625833i 0.235904 + 0.0274710i
\(520\) −0.0946119 1.12322i −0.00414901 0.0492565i
\(521\) 10.2251 + 26.4836i 0.447969 + 1.16027i 0.954543 + 0.298072i \(0.0963436\pi\)
−0.506575 + 0.862196i \(0.669089\pi\)
\(522\) 28.9655 22.4896i 1.26779 0.984343i
\(523\) 6.77300 + 19.7948i 0.296163 + 0.865568i 0.989446 + 0.144903i \(0.0462870\pi\)
−0.693283 + 0.720665i \(0.743836\pi\)
\(524\) 21.6733 1.40296i 0.946805 0.0612886i
\(525\) −15.7478 + 11.8933i −0.687289 + 0.519067i
\(526\) −0.186650 0.983982i −0.00813833 0.0429037i
\(527\) −4.07943 + 25.0231i −0.177703 + 1.09002i
\(528\) 42.9294 + 24.3924i 1.86826 + 1.06154i
\(529\) 14.7799 + 10.8554i 0.642603 + 0.471975i
\(530\) −5.97223 + 3.29534i −0.259417 + 0.143140i
\(531\) −20.4508 + 5.71169i −0.887487 + 0.247866i
\(532\) 15.5718 3.05821i 0.675125 0.132590i
\(533\) 4.82159 + 4.85286i 0.208846 + 0.210201i
\(534\) −13.9538 5.07202i −0.603840 0.219488i
\(535\) 1.59709 6.54969i 0.0690482 0.283168i
\(536\) −0.0283495 + 0.0133313i −0.00122451 + 0.000575825i
\(537\) 13.3501 + 24.5438i 0.576098 + 1.05914i
\(538\) −17.1770 + 22.4606i −0.740555 + 0.968346i
\(539\) −2.77692 9.27555i −0.119610 0.399526i
\(540\) 2.86463 + 0.482263i 0.123274 + 0.0207533i
\(541\) −8.58630 + 28.6802i −0.369154 + 1.23306i 0.548659 + 0.836046i \(0.315139\pi\)
−0.917813 + 0.397014i \(0.870047\pi\)
\(542\) 26.1389 + 36.0752i 1.12276 + 1.54956i
\(543\) 18.2684 + 4.07281i 0.783974 + 0.174781i
\(544\) −32.2303 17.2442i −1.38186 0.739338i
\(545\) −1.20234 + 3.23811i −0.0515024 + 0.138705i
\(546\) 37.2931 2.91468i 1.59600 0.124737i
\(547\) 0.311757 0.00806282i 0.0133298 0.000344741i −0.0191884 0.999816i \(-0.506108\pi\)
0.0325182 + 0.999471i \(0.489647\pi\)
\(548\) 21.1280 + 5.88139i 0.902545 + 0.251240i
\(549\) −3.24644 + 7.82075i −0.138555 + 0.333781i
\(550\) −24.9875 52.2570i −1.06547 2.22824i
\(551\) −24.4278 10.3504i −1.04066 0.440940i
\(552\) −0.762675 + 2.43624i −0.0324616 + 0.103693i
\(553\) −32.1977 20.5854i −1.36918 0.875380i
\(554\) 26.8354 18.1512i 1.14013 0.771172i
\(555\) 0.774562 + 0.363832i 0.0328783 + 0.0154438i
\(556\) 19.1809 + 3.25440i 0.813450 + 0.138017i
\(557\) −9.31690 + 3.80637i −0.394770 + 0.161281i −0.566888 0.823795i \(-0.691853\pi\)
0.172118 + 0.985076i \(0.444939\pi\)
\(558\) 10.2386 + 27.5022i 0.433432 + 1.16426i
\(559\) −27.6676 25.1070i −1.17021 1.06191i
\(560\) −2.43052 + 2.71345i −0.102708 + 0.114664i
\(561\) 33.4424 + 41.4258i 1.41194 + 1.74900i
\(562\) −25.5982 + 50.1591i −1.07979 + 2.11583i
\(563\) 0.759424 + 5.07022i 0.0320059 + 0.213684i 0.999183 0.0404200i \(-0.0128696\pi\)
−0.967177 + 0.254104i \(0.918219\pi\)
\(564\) −7.17815 + 29.4924i −0.302254 + 1.24185i
\(565\) 1.48386 0.518456i 0.0624265 0.0218116i
\(566\) −22.4633 + 18.8489i −0.944202 + 0.792279i
\(567\) 3.61042 20.6823i 0.151623 0.868576i
\(568\) 1.00909 + 0.846730i 0.0423406 + 0.0355280i
\(569\) 7.30195 + 2.76511i 0.306114 + 0.115919i 0.502422 0.864623i \(-0.332443\pi\)
−0.196308 + 0.980542i \(0.562895\pi\)
\(570\) −1.56765 4.38936i −0.0656618 0.183850i
\(571\) −1.27200 + 6.26244i −0.0532316 + 0.262075i −0.997805 0.0662262i \(-0.978904\pi\)
0.944573 + 0.328301i \(0.106476\pi\)
\(572\) −6.06513 + 49.1339i −0.253596 + 2.05439i
\(573\) 8.19957 11.9662i 0.342542 0.499896i
\(574\) 0.202890 6.27517i 0.00846846 0.261921i
\(575\) 8.33514 6.46022i 0.347599 0.269410i
\(576\) −14.7802 + 0.394891i −0.615842 + 0.0164538i
\(577\) 14.2538 + 22.6152i 0.593395 + 0.941485i 0.999616 + 0.0277100i \(0.00882148\pi\)
−0.406221 + 0.913775i \(0.633154\pi\)
\(578\) −9.23127 10.8581i −0.383970 0.451637i
\(579\) 17.1852 9.20405i 0.714192 0.382507i
\(580\) −3.47324 + 0.870746i −0.144218 + 0.0361558i
\(581\) −19.2323 4.29633i −0.797892 0.178242i
\(582\) −6.85722 + 36.2344i −0.284241 + 1.50197i
\(583\) −62.3817 + 19.1161i −2.58359 + 0.791708i
\(584\) 0.329311 0.0916699i 0.0136270 0.00379333i
\(585\) −1.11538 4.82665i −0.0461152 0.199557i
\(586\) 5.21739 53.6395i 0.215528 2.21583i
\(587\) −21.2926 16.9481i −0.878839 0.699524i 0.0758532 0.997119i \(-0.475832\pi\)
−0.954692 + 0.297595i \(0.903816\pi\)
\(588\) 3.28350 + 2.97706i 0.135409 + 0.122772i
\(589\) 13.7517 16.1752i 0.566630 0.666486i
\(590\) 4.55174 + 0.651711i 0.187392 + 0.0268305i
\(591\) 20.9919 5.27223i 0.863490 0.216871i
\(592\) −6.45841 1.61913i −0.265439 0.0665460i
\(593\) −26.6154 13.3668i −1.09296 0.548907i −0.191382 0.981516i \(-0.561297\pi\)
−0.901582 + 0.432609i \(0.857593\pi\)
\(594\) 57.3725 + 22.4933i 2.35402 + 0.922913i
\(595\) −3.51015 + 1.76286i −0.143902 + 0.0722704i
\(596\) 15.9079 3.55368i 0.651613 0.145564i
\(597\) 11.4013 7.09017i 0.466626 0.290181i
\(598\) −19.9075 + 1.80654i −0.814079 + 0.0738748i
\(599\) −3.32801 30.1626i −0.135979 1.23241i −0.847902 0.530154i \(-0.822134\pi\)
0.711923 0.702258i \(-0.247825\pi\)
\(600\) −4.82601 3.17116i −0.197021 0.129462i
\(601\) 23.4871 + 2.13137i 0.958059 + 0.0869405i 0.558263 0.829664i \(-0.311468\pi\)
0.399796 + 0.916604i \(0.369081\pi\)
\(602\) 0.664915 + 34.2829i 0.0270999 + 1.39727i
\(603\) −0.114965 + 0.0757545i −0.00468174 + 0.00308496i
\(604\) −20.8805 25.8878i −0.849615 1.05336i
\(605\) 2.22698 + 9.13287i 0.0905396 + 0.371304i
\(606\) −4.40876 + 40.1149i −0.179094 + 1.62956i
\(607\) 14.4719 25.8317i 0.587397 1.04848i −0.403644 0.914916i \(-0.632256\pi\)
0.991041 0.133559i \(-0.0426406\pi\)
\(608\) 15.6462 + 26.3085i 0.634536 + 1.06695i
\(609\) 6.14155 + 25.1399i 0.248868 + 1.01872i
\(610\) 1.32564 1.26697i 0.0536736 0.0512983i
\(611\) 51.1406 7.99824i 2.06893 0.323574i
\(612\) −22.9085 8.31585i −0.926021 0.336148i
\(613\) 39.0663 23.5766i 1.57787 0.952251i 0.588231 0.808693i \(-0.299825\pi\)
0.989642 0.143558i \(-0.0458544\pi\)
\(614\) 21.6633 30.7266i 0.874260 1.24002i
\(615\) −0.825803 + 0.0968802i −0.0332996 + 0.00390659i
\(616\) −7.97538 + 5.85770i −0.321337 + 0.236014i
\(617\) −11.6966 + 25.2965i −0.470886 + 1.01840i 0.515941 + 0.856624i \(0.327442\pi\)
−0.986828 + 0.161776i \(0.948278\pi\)
\(618\) −3.30017 8.21924i −0.132752 0.330626i
\(619\) 20.4990 + 22.2983i 0.823926 + 0.896245i 0.996047 0.0888307i \(-0.0283130\pi\)
−0.172121 + 0.985076i \(0.555062\pi\)
\(620\) 0.166613 2.86063i 0.00669132 0.114886i
\(621\) −1.79101 + 11.0754i −0.0718709 + 0.444441i
\(622\) 0.682108 + 11.7113i 0.0273500 + 0.469582i
\(623\) 7.28813 7.52758i 0.291993 0.301586i
\(624\) 15.7377 + 35.1845i 0.630013 + 1.40851i
\(625\) 8.66325 + 21.6029i 0.346530 + 0.864118i
\(626\) −17.2165 48.2706i −0.688111 1.92928i
\(627\) −6.05230 44.1699i −0.241705 1.76398i
\(628\) −2.29965 + 15.3534i −0.0917659 + 0.612666i
\(629\) −5.84083 4.17478i −0.232889 0.166459i
\(630\) −2.51964 + 3.78451i −0.100385 + 0.150778i
\(631\) 10.4475 + 10.2468i 0.415909 + 0.407920i 0.877809 0.479012i \(-0.159005\pi\)
−0.461900 + 0.886932i \(0.652832\pi\)
\(632\) 2.50852 10.8977i 0.0997834 0.433488i
\(633\) −14.2686 + 24.0155i −0.567124 + 0.954528i
\(634\) −15.4391 49.2438i −0.613164 1.95572i
\(635\) −0.769721 + 2.69749i −0.0305454 + 0.107047i
\(636\) 19.9177 22.2553i 0.789787 0.882480i
\(637\) 2.53912 7.11903i 0.100604 0.282066i
\(638\) −75.9030 + 2.94538i −3.00503 + 0.116609i
\(639\) 4.92007 + 3.05091i 0.194635 + 0.120692i
\(640\) −1.69334 0.691807i −0.0669353 0.0273461i
\(641\) 30.3519 + 18.8570i 1.19883 + 0.744807i 0.973324 0.229435i \(-0.0736878\pi\)
0.225504 + 0.974242i \(0.427597\pi\)
\(642\) 6.36567 + 65.1559i 0.251233 + 2.57150i
\(643\) 9.73680 4.12560i 0.383982 0.162698i −0.189570 0.981867i \(-0.560709\pi\)
0.573551 + 0.819170i \(0.305565\pi\)
\(644\) 6.19723 + 5.47928i 0.244205 + 0.215914i
\(645\) 4.47669 0.761524i 0.176269 0.0299850i
\(646\) 6.29174 + 38.5934i 0.247545 + 1.51844i
\(647\) 3.53983 1.28839i 0.139165 0.0506520i −0.271499 0.962439i \(-0.587519\pi\)
0.410664 + 0.911787i \(0.365297\pi\)
\(648\) 6.05524 1.03804i 0.237872 0.0407780i
\(649\) 41.3299 + 15.0429i 1.62234 + 0.590484i
\(650\) 8.42687 44.4248i 0.330529 1.74248i
\(651\) −20.6672 1.32896i −0.810011 0.0520861i
\(652\) −13.7547 + 10.9483i −0.538677 + 0.428767i
\(653\) 14.8862 + 22.9551i 0.582540 + 0.898304i 0.999946 0.0104161i \(-0.00331561\pi\)
−0.417405 + 0.908720i \(0.637060\pi\)
\(654\) 0.636100 33.5362i 0.0248735 1.31137i
\(655\) 4.40568 + 0.924556i 0.172144 + 0.0361254i
\(656\) 6.16037 1.97524i 0.240522 0.0771203i
\(657\) 1.37504 0.605108i 0.0536454 0.0236075i
\(658\) −37.5487 29.1024i −1.46380 1.13453i
\(659\) 6.26048 7.55966i 0.243874 0.294483i −0.634041 0.773299i \(-0.718605\pi\)
0.877915 + 0.478817i \(0.158934\pi\)
\(660\) −4.24287 4.26674i −0.165154 0.166083i
\(661\) −1.92429 0.935463i −0.0748464 0.0363853i 0.399407 0.916774i \(-0.369216\pi\)
−0.474253 + 0.880388i \(0.657282\pi\)
\(662\) −19.2297 + 9.97089i −0.747384 + 0.387530i
\(663\) 1.89768 + 41.5173i 0.0736999 + 1.61240i
\(664\) −0.706456 5.72303i −0.0274158 0.222097i
\(665\) 3.27935 + 0.254891i 0.127168 + 0.00988425i
\(666\) −8.26638 0.850889i −0.320316 0.0329713i
\(667\) −3.44959 13.3921i −0.133568 0.518545i
\(668\) 10.7732 19.8264i 0.416826 0.767107i
\(669\) −18.0411 + 17.7098i −0.697511 + 0.684699i
\(670\) 0.0293948 0.00498740i 0.00113562 0.000192680i
\(671\) 14.8987 9.25629i 0.575160 0.357335i
\(672\) 11.4591 27.5720i 0.442046 1.06361i
\(673\) 2.24520 5.02532i 0.0865463 0.193712i −0.864594 0.502471i \(-0.832424\pi\)
0.951140 + 0.308760i \(0.0999139\pi\)
\(674\) 22.1917 + 23.5218i 0.854791 + 0.906026i
\(675\) −22.9799 10.7703i −0.884497 0.414550i
\(676\) −11.8694 + 12.5808i −0.456516 + 0.483879i
\(677\) 18.2073 + 43.7561i 0.699762 + 1.68168i 0.731187 + 0.682177i \(0.238967\pi\)
−0.0314246 + 0.999506i \(0.510004\pi\)
\(678\) −11.9383 + 9.51081i −0.458488 + 0.365260i
\(679\) −21.3664 14.8582i −0.819967 0.570207i
\(680\) −0.830925 0.794152i −0.0318645 0.0304543i
\(681\) 12.0444 + 20.8409i 0.461541 + 0.798624i
\(682\) 15.9226 58.6647i 0.609707 2.24639i
\(683\) −6.32011 + 18.4712i −0.241832 + 0.706782i 0.756757 + 0.653696i \(0.226782\pi\)
−0.998590 + 0.0530863i \(0.983094\pi\)
\(684\) 12.8261 + 15.8741i 0.490417 + 0.606960i
\(685\) 3.89189 + 2.34877i 0.148702 + 0.0897419i
\(686\) −34.8871 + 15.3171i −1.33200 + 0.584808i
\(687\) −10.3364 12.1475i −0.394359 0.463455i
\(688\) −33.0418 + 12.5123i −1.25971 + 0.477028i
\(689\) −48.0817 16.7996i −1.83177 0.640014i
\(690\) 1.32105 2.03903i 0.0502915 0.0776245i
\(691\) −10.5480 15.8139i −0.401267 0.601590i 0.575002 0.818152i \(-0.305001\pi\)
−0.976269 + 0.216562i \(0.930516\pi\)
\(692\) 5.03412 + 0.988669i 0.191369 + 0.0375836i
\(693\) −31.0219 + 30.4781i −1.17842 + 1.15777i
\(694\) −3.63086 + 4.50156i −0.137826 + 0.170877i
\(695\) 3.64911 + 1.71599i 0.138419 + 0.0650911i
\(696\) −6.32518 + 4.16401i −0.239755 + 0.157836i
\(697\) 6.96107 + 0.450604i 0.263669 + 0.0170678i
\(698\) 13.6494 + 50.2896i 0.516638 + 1.90349i
\(699\) 2.16390 + 7.95917i 0.0818462 + 0.301043i
\(700\) −15.7653 + 10.0795i −0.595872 + 0.380967i
\(701\) 0.0922438 0.213845i 0.00348400 0.00807682i −0.916465 0.400114i \(-0.868970\pi\)
0.919949 + 0.392038i \(0.128230\pi\)
\(702\) 25.7023 + 40.6639i 0.970072 + 1.53476i
\(703\) 2.38122 + 5.52030i 0.0898096 + 0.208202i
\(704\) 25.3682 + 17.1588i 0.956100 + 0.646698i
\(705\) −3.07263 + 5.49000i −0.115722 + 0.206765i
\(706\) 7.11792 21.7155i 0.267886 0.817273i
\(707\) −24.5717 14.3991i −0.924115 0.541533i
\(708\) −19.7544 + 3.88840i −0.742415 + 0.146135i
\(709\) −8.78585 2.94286i −0.329960 0.110522i 0.147787 0.989019i \(-0.452785\pi\)
−0.477747 + 0.878498i \(0.658546\pi\)
\(710\) −0.709087 1.03387i −0.0266116 0.0388006i
\(711\) 4.08326 48.9762i 0.153134 1.83675i
\(712\) 2.79114 + 1.26873i 0.104603 + 0.0475477i
\(713\) 11.0521 + 0.572051i 0.413904 + 0.0214235i
\(714\) 26.5204 27.4152i 0.992503 1.02599i
\(715\) −3.94215 + 9.47385i −0.147428 + 0.354302i
\(716\) 10.8067 + 24.1879i 0.403864 + 0.903946i
\(717\) −10.7448 17.5298i −0.401271 0.654663i
\(718\) 61.0487 + 34.7223i 2.27832 + 1.29582i
\(719\) 26.1854 + 8.39601i 0.976550 + 0.313118i 0.750407 0.660976i \(-0.229857\pi\)
0.226143 + 0.974094i \(0.427388\pi\)
\(720\) −4.54509 1.13533i −0.169385 0.0423114i
\(721\) 6.24578 + 0.242365i 0.232605 + 0.00902613i
\(722\) −1.30899 + 3.26415i −0.0487157 + 0.121479i
\(723\) −12.3049 + 23.3845i −0.457625 + 0.869680i
\(724\) 16.9685 + 5.19979i 0.630630 + 0.193249i
\(725\) 31.2721 + 0.808774i 1.16142 + 0.0300371i
\(726\) −49.7010 76.5696i −1.84458 2.84176i
\(727\) −8.22637 0.106359i −0.305099 0.00394466i −0.139773 0.990184i \(-0.544637\pi\)
−0.165326 + 0.986239i \(0.552868\pi\)
\(728\) −7.72465 −0.286295
\(729\) 25.6895 8.30968i 0.951462 0.307766i
\(730\) −0.325326 −0.0120409
\(731\) −38.0938 0.492517i −1.40895 0.0182164i
\(732\) −3.64672 + 7.15321i −0.134786 + 0.264390i
\(733\) 24.6810 + 0.638313i 0.911614 + 0.0235766i 0.478817 0.877915i \(-0.341066\pi\)
0.432797 + 0.901491i \(0.357527\pi\)
\(734\) −16.6366 5.09808i −0.614068 0.188174i
\(735\) 0.490165 + 0.776964i 0.0180800 + 0.0286588i
\(736\) −5.93884 + 14.8093i −0.218908 + 0.545877i
\(737\) 0.284972 + 0.0110582i 0.0104971 + 0.000407335i
\(738\) 7.25858 3.53631i 0.267192 0.130173i
\(739\) −7.72722 2.47763i −0.284250 0.0911412i 0.159781 0.987152i \(-0.448921\pi\)
−0.444031 + 0.896011i \(0.646452\pi\)
\(740\) 0.705323 + 0.401162i 0.0259282 + 0.0147470i
\(741\) 16.6031 30.5867i 0.609931 1.12363i
\(742\) 19.0679 + 42.6786i 0.700004 + 1.56678i
\(743\) 14.0677 33.8078i 0.516094 1.24029i −0.425935 0.904754i \(-0.640055\pi\)
0.942028 0.335534i \(-0.108917\pi\)
\(744\) −1.66535 5.82680i −0.0610547 0.213621i
\(745\) 3.37399 + 0.174636i 0.123613 + 0.00639818i
\(746\) −37.6365 17.1079i −1.37797 0.626364i
\(747\) −6.65916 24.4522i −0.243646 0.894658i
\(748\) 28.5529 + 41.6312i 1.04400 + 1.52219i
\(749\) −43.8078 14.6736i −1.60070 0.536162i
\(750\) 7.31656 + 8.37662i 0.267163 + 0.305871i
\(751\) −34.3195 20.1113i −1.25234 0.733871i −0.278350 0.960480i \(-0.589788\pi\)
−0.973986 + 0.226609i \(0.927236\pi\)
\(752\) 15.2468 46.5153i 0.555994 1.69624i
\(753\) −9.07774 15.2491i −0.330811 0.555708i
\(754\) −49.1163 33.2218i −1.78871 1.20987i
\(755\) −2.73043 6.32985i −0.0993705 0.230367i
\(756\) 4.94103 19.2845i 0.179703 0.701372i
\(757\) 7.22038 16.7387i 0.262429 0.608379i −0.735151 0.677903i \(-0.762889\pi\)
0.997580 + 0.0695243i \(0.0221481\pi\)
\(758\) 47.3855 30.2956i 1.72112 1.10039i
\(759\) 16.3725 16.4928i 0.594284 0.598649i
\(760\) 0.252116 + 0.928889i 0.00914520 + 0.0336944i
\(761\) 39.1917 + 2.53696i 1.42070 + 0.0919647i 0.755718 0.654897i \(-0.227288\pi\)
0.664980 + 0.746861i \(0.268440\pi\)
\(762\) −1.59550 27.1935i −0.0577989 0.985118i
\(763\) 21.4208 + 10.0731i 0.775484 + 0.364670i
\(764\) 8.63525 10.7060i 0.312412 0.387331i
\(765\) −4.11210 2.93385i −0.148673 0.106073i
\(766\) 10.9327 + 2.14712i 0.395015 + 0.0775785i
\(767\) 19.0518 + 28.5630i 0.687922 + 1.03135i
\(768\) 34.7900 + 1.78582i 1.25538 + 0.0644401i
\(769\) −41.8740 14.6307i −1.51002 0.527595i −0.556999 0.830513i \(-0.688047\pi\)
−0.953016 + 0.302919i \(0.902039\pi\)
\(770\) 8.80729 3.33516i 0.317393 0.120191i
\(771\) −38.5826 + 7.07765i −1.38952 + 0.254895i
\(772\) 16.9254 7.43104i 0.609159 0.267449i
\(773\) −15.2134 9.18133i −0.547188 0.330230i 0.216013 0.976390i \(-0.430695\pi\)
−0.763201 + 0.646161i \(0.776374\pi\)
\(774\) −38.5909 + 21.3366i −1.38712 + 0.766928i
\(775\) −8.10432 + 23.6858i −0.291116 + 0.850818i
\(776\) 1.99477 7.34947i 0.0716080 0.263831i
\(777\) 2.93007 5.08004i 0.105116 0.182245i
\(778\) 11.9867 + 11.4562i 0.429742 + 0.410724i
\(779\) −4.79575 3.33497i −0.171825 0.119488i
\(780\) −0.697780 4.64511i −0.0249845 0.166321i
\(781\) −4.60692 11.0714i −0.164848 0.396167i
\(782\) −13.9877 + 14.8261i −0.500198 + 0.530179i
\(783\) −24.9049 + 22.0766i −0.890029 + 0.788953i
\(784\) −4.90505 5.19905i −0.175180 0.185680i
\(785\) −1.31259 + 2.93791i −0.0468485 + 0.104858i
\(786\) −43.3472 + 5.65435i −1.54614 + 0.201684i
\(787\) −11.3388 + 7.04458i −0.404185 + 0.251112i −0.714664 0.699468i \(-0.753420\pi\)
0.310478 + 0.950580i \(0.399511\pi\)
\(788\) 20.2334 3.43299i 0.720786 0.122295i
\(789\) 0.227103 + 0.880110i 0.00808507 + 0.0313328i
\(790\) −5.08130 + 9.35139i −0.180785 + 0.332707i
\(791\) −2.68690 10.4312i −0.0955351 0.370890i
\(792\) −11.4497 5.55399i −0.406848 0.197353i
\(793\) 13.6511 + 1.06104i 0.484763 + 0.0376788i
\(794\) 5.90686 + 47.8518i 0.209627 + 1.69820i
\(795\) 5.21417 3.33679i 0.184928 0.118344i
\(796\) 11.3017 5.86009i 0.400577 0.207705i
\(797\) −21.4203 10.4131i −0.758745 0.368851i 0.0170345 0.999855i \(-0.494577\pi\)
−0.775780 + 0.631004i \(0.782643\pi\)
\(798\) −30.8757 + 8.18038i −1.09299 + 0.289582i
\(799\) 33.6653 40.6516i 1.19099 1.43815i
\(800\) −28.5274 22.1104i −1.00860 0.781720i
\(801\) 12.9363 + 3.76993i 0.457082 + 0.133204i
\(802\) 41.5638 13.3269i 1.46767 0.470589i
\(803\) −3.04548 0.639112i −0.107473 0.0225538i
\(804\) −0.114275 + 0.0631179i −0.00403016 + 0.00222600i
\(805\) 0.932890 + 1.43856i 0.0328801 + 0.0507026i
\(806\) 37.1269 29.5517i 1.30774 1.04091i
\(807\) 14.2306 21.3547i 0.500942 0.751721i
\(808\) 1.55313 8.18777i 0.0546388 0.288045i
\(809\) −6.40935 2.33281i −0.225341 0.0820173i 0.226882 0.973922i \(-0.427147\pi\)
−0.452223 + 0.891905i \(0.649369\pi\)
\(810\) −5.81671 0.593713i −0.204378 0.0208609i
\(811\) −20.0029 + 7.28044i −0.702395 + 0.255651i −0.668433 0.743772i \(-0.733035\pi\)
−0.0339620 + 0.999423i \(0.510813\pi\)
\(812\) 3.94831 + 24.2189i 0.138558 + 0.849915i
\(813\) −25.8011 31.1283i −0.904884 1.09172i
\(814\) 12.8957 + 11.4017i 0.451993 + 0.399630i
\(815\) −3.35507 + 1.42158i −0.117523 + 0.0497959i
\(816\) 35.7869 + 16.2487i 1.25279 + 0.568818i
\(817\) 27.0981 + 16.8355i 0.948042 + 0.589000i
\(818\) 0.496293 + 0.202758i 0.0173525 + 0.00708927i
\(819\) −33.6017 + 4.84035i −1.17414 + 0.169136i
\(820\) −0.787801 + 0.0305703i −0.0275112 + 0.00106756i
\(821\) −5.73026 + 16.0661i −0.199987 + 0.560712i −0.999185 0.0403558i \(-0.987151\pi\)
0.799198 + 0.601068i \(0.205258\pi\)
\(822\) −43.2053 9.04760i −1.50696 0.315571i
\(823\) 2.18365 7.65260i 0.0761171 0.266753i −0.914264 0.405119i \(-0.867230\pi\)
0.990381 + 0.138366i \(0.0441849\pi\)
\(824\) 0.547175 + 1.74525i 0.0190617 + 0.0607985i
\(825\) 25.7132 + 45.8510i 0.895220 + 1.59633i
\(826\) 7.06859 30.7080i 0.245948 1.06847i
\(827\) 14.4774 + 14.1993i 0.503427 + 0.493758i 0.906965 0.421205i \(-0.138393\pi\)
−0.403538 + 0.914963i \(0.632220\pi\)
\(828\) −2.51134 + 10.3374i −0.0872751 + 0.359250i
\(829\) 24.1472 + 17.2594i 0.838667 + 0.599443i 0.917631 0.397434i \(-0.130099\pi\)
−0.0789635 + 0.996878i \(0.525161\pi\)
\(830\) −0.812938 + 5.42749i −0.0282175 + 0.188391i
\(831\) −23.2319 + 18.0219i −0.805904 + 0.625174i
\(832\) 8.03155 + 22.5184i 0.278444 + 0.780684i
\(833\) −2.86866 7.15338i −0.0993932 0.247850i
\(834\) −38.9506 4.02615i −1.34875 0.139414i
\(835\) 3.25320 3.36009i 0.112582 0.116281i
\(836\) −2.45796 42.2016i −0.0850104 1.45957i
\(837\) −10.8953 24.3027i −0.376597 0.840024i
\(838\) −3.62288 + 62.2025i −0.125150 + 2.14875i
\(839\) −30.2915 32.9503i −1.04578 1.13757i −0.990277 0.139113i \(-0.955575\pi\)
−0.0555027 0.998459i \(-0.517676\pi\)
\(840\) 0.579628 0.738598i 0.0199991 0.0254841i
\(841\) 5.04604 10.9132i 0.174001 0.376318i
\(842\) 61.3849 45.0856i 2.11546 1.55375i
\(843\) 20.2225 46.9362i 0.696501 1.61657i
\(844\) −15.2626 + 21.6479i −0.525359 + 0.745153i
\(845\) −3.06936 + 1.85237i −0.105589 + 0.0637234i
\(846\) 10.5574 60.1748i 0.362972 2.06885i
\(847\) 63.6474 9.95427i 2.18695 0.342033i
\(848\) −34.8198 + 33.2788i −1.19572 + 1.14280i
\(849\) 19.2311 18.3958i 0.660011 0.631341i
\(850\) −23.5680 39.6289i −0.808377 1.35926i
\(851\) −1.53170 + 2.73402i −0.0525061 + 0.0937209i
\(852\) 4.42560 + 3.24758i 0.151619 + 0.111260i
\(853\) −2.36311 9.69115i −0.0809114 0.331818i 0.916807 0.399330i \(-0.130757\pi\)
−0.997718 + 0.0675118i \(0.978494\pi\)
\(854\) −7.88938 9.78129i −0.269969 0.334709i
\(855\) 1.67874 + 3.88263i 0.0574117 + 0.132783i
\(856\) −0.262152 13.5165i −0.00896016 0.461983i
\(857\) −20.8064 1.88810i −0.710732 0.0644964i −0.270940 0.962596i \(-0.587335\pi\)
−0.439792 + 0.898100i \(0.644948\pi\)
\(858\) 5.75135 99.4791i 0.196348 3.39616i
\(859\) 3.67358 + 33.2946i 0.125341 + 1.13600i 0.878360 + 0.478000i \(0.158638\pi\)
−0.753019 + 0.657999i \(0.771403\pi\)
\(860\) 4.28814 0.389133i 0.146224 0.0132693i
\(861\) 0.186566 + 5.69496i 0.00635816 + 0.194084i
\(862\) −30.9460 + 6.91305i −1.05402 + 0.235459i
\(863\) −20.7320 + 10.4120i −0.705727 + 0.354429i −0.765193 0.643801i \(-0.777356\pi\)
0.0594662 + 0.998230i \(0.481060\pi\)
\(864\) 38.2369 3.51928i 1.30085 0.119728i
\(865\) 0.950250 + 0.477233i 0.0323095 + 0.0162264i
\(866\) −29.2450 7.33177i −0.993786 0.249144i
\(867\) 9.00088 + 9.28866i 0.305686 + 0.315459i
\(868\) −19.4388 2.78322i −0.659795 0.0944685i
\(869\) −65.9387 + 77.5590i −2.23682 + 2.63101i
\(870\) 6.86202 2.20345i 0.232644 0.0747040i
\(871\) 0.174183 + 0.138644i 0.00590198 + 0.00469776i
\(872\) −0.670570 + 6.89407i −0.0227084 + 0.233463i
\(873\) 4.07185 33.2197i 0.137811 1.12432i
\(874\) 16.4433 4.57732i 0.556205 0.154830i
\(875\) −7.50446 + 2.29965i −0.253697 + 0.0777424i
\(876\) 1.34455 0.470426i 0.0454281 0.0158942i
\(877\) −22.3235 4.98687i −0.753812 0.168395i −0.175803 0.984425i \(-0.556252\pi\)
−0.578008 + 0.816031i \(0.696170\pi\)
\(878\) 31.8691 7.98965i 1.07553 0.269638i
\(879\) −1.55967 + 48.8855i −0.0526062 + 1.64887i
\(880\) 6.28546 + 7.39313i 0.211883 + 0.249222i
\(881\) 18.3963 + 29.1877i 0.619786 + 0.983357i 0.998330 + 0.0577738i \(0.0184002\pi\)
−0.378544 + 0.925583i \(0.623575\pi\)
\(882\) −6.98451 5.54968i −0.235181 0.186867i
\(883\) −5.35080 + 4.14718i −0.180069 + 0.139564i −0.698647 0.715466i \(-0.746214\pi\)
0.518579 + 0.855030i \(0.326461\pi\)
\(884\) −1.27347 + 39.3870i −0.0428314 + 1.32473i
\(885\) −4.16065 0.321603i −0.139859 0.0108106i
\(886\) 4.59246 37.2037i 0.154287 1.24988i
\(887\) 6.39186 31.4691i 0.214618 1.05663i −0.718078 0.695963i \(-0.754978\pi\)
0.932695 0.360665i \(-0.117450\pi\)
\(888\) 1.68816 + 0.308188i 0.0566510 + 0.0103421i
\(889\) 17.9779 + 6.80788i 0.602958 + 0.228329i
\(890\) −2.23526 1.87561i −0.0749262 0.0628705i
\(891\) −53.2857 16.9850i −1.78514 0.569019i
\(892\) −18.3630 + 15.4084i −0.614838 + 0.515910i
\(893\) −41.7254 + 14.5787i −1.39629 + 0.487858i
\(894\) −31.4858 + 9.21950i −1.05304 + 0.308346i
\(895\) 0.813386 + 5.43048i 0.0271885 + 0.181521i
\(896\) −5.69822 + 11.1655i −0.190364 + 0.373015i
\(897\) 17.9223 2.81084i 0.598407 0.0938511i
\(898\) −28.9010 + 32.2652i −0.964438 + 1.07670i
\(899\) 24.3113 + 22.0613i 0.810827 + 0.735786i
\(900\) −20.9275 11.8791i −0.697583 0.395971i
\(901\) −48.0776 + 19.6419i −1.60170 + 0.654366i
\(902\) −16.4890 2.79769i −0.549025 0.0931527i
\(903\) −2.62526 31.0084i −0.0873633 1.03189i
\(904\) 2.61085 1.76596i 0.0868356 0.0587348i
\(905\) 3.09921 + 1.98147i 0.103021 + 0.0658662i
\(906\) 45.3265 + 49.2627i 1.50587 + 1.63664i
\(907\) −3.01053 1.27560i −0.0999631 0.0423556i 0.339579 0.940577i \(-0.389715\pi\)
−0.439542 + 0.898222i \(0.644859\pi\)
\(908\) 9.84594 + 20.5910i 0.326749 + 0.683338i
\(909\) 1.62545 36.5895i 0.0539128 1.21360i
\(910\) 7.08238 + 1.97152i 0.234779 + 0.0653551i
\(911\) 4.81907 0.124633i 0.159663 0.00412928i 0.0540602 0.998538i \(-0.482784\pi\)
0.105603 + 0.994408i \(0.466323\pi\)
\(912\) −18.6268 27.1337i −0.616795 0.898486i
\(913\) −18.2726 + 49.2115i −0.604735 + 1.62866i
\(914\) −15.6705 8.38421i −0.518335 0.277325i
\(915\) −1.12577 + 1.22564i −0.0372170 + 0.0405184i
\(916\) −8.87369 12.2469i −0.293195 0.404647i
\(917\) 8.84777 29.5536i 0.292179 0.975947i
\(918\) 47.1000 + 13.7042i 1.55453 + 0.452305i
\(919\) −3.89285 13.0030i −0.128413 0.428930i 0.869468 0.493989i \(-0.164462\pi\)
−0.997881 + 0.0650588i \(0.979276\pi\)
\(920\) −0.304782 + 0.398531i −0.0100484 + 0.0131392i
\(921\) −17.8057 + 29.1053i −0.586719 + 0.959053i
\(922\) −41.6667 + 19.5937i −1.37222 + 0.645285i
\(923\) 2.21764 9.09458i 0.0729946 0.299352i
\(924\) −31.5772 + 26.5194i −1.03881 + 0.872425i
\(925\) −4.99640 5.02880i −0.164281 0.165346i
\(926\) 55.1067 10.8226i 1.81092 0.355653i
\(927\) 3.47377 + 7.24885i 0.114093 + 0.238083i
\(928\) −41.4413 + 22.8663i −1.36038 + 0.750624i
\(929\) 7.81919 + 5.74299i 0.256539 + 0.188421i 0.712686 0.701483i \(-0.247479\pi\)
−0.456146 + 0.889905i \(0.650771\pi\)
\(930\) 0.0397459 + 5.76737i 0.00130332 + 0.189119i
\(931\) −1.03844 + 6.36980i −0.0340337 + 0.208762i
\(932\) 1.45753 + 7.68378i 0.0477428 + 0.251691i
\(933\) −1.30885 10.5659i −0.0428497 0.345912i
\(934\) 72.0906 4.66657i 2.35888 0.152695i
\(935\) 3.38736 + 9.89992i 0.110778 + 0.323762i
\(936\) −4.63720 8.78529i −0.151571 0.287156i
\(937\) 9.97362 + 25.8323i 0.325824 + 0.843905i 0.994914 + 0.100724i \(0.0321159\pi\)
−0.669091 + 0.743181i \(0.733316\pi\)
\(938\) −0.0171498 0.203600i −0.000559960 0.00664777i
\(939\) 18.4404 + 42.6994i 0.601778 + 1.39344i
\(940\) −3.31021 + 4.96276i −0.107967 + 0.161867i
\(941\) −7.85890 + 7.90987i −0.256193 + 0.257854i −0.825671 0.564152i \(-0.809203\pi\)
0.569478 + 0.822007i \(0.307145\pi\)
\(942\) 2.60945 31.1381i 0.0850205 1.01453i
\(943\) −0.137732 3.04177i −0.00448517 0.0990537i
\(944\) 32.2493 3.76940i 1.04962 0.122684i
\(945\) 2.05853 3.57606i 0.0669640 0.116329i
\(946\) 90.7232 + 10.6040i 2.94966 + 0.344766i
\(947\) −0.389082 + 5.46263i −0.0126435 + 0.177512i 0.987195 + 0.159520i \(0.0509947\pi\)
−0.999838 + 0.0179916i \(0.994273\pi\)
\(948\) 7.47842 45.9962i 0.242888 1.49389i
\(949\) −1.62076 1.80943i −0.0526122 0.0587365i
\(950\) −0.249581 + 38.6092i −0.00809746 + 1.25265i
\(951\) 16.8881 + 43.6856i 0.547633 + 1.41660i
\(952\) −5.90105 + 5.21741i −0.191254 + 0.169097i
\(953\) −7.33598 + 15.3419i −0.237636 + 0.496973i −0.986090 0.166214i \(-0.946846\pi\)
0.748454 + 0.663187i \(0.230796\pi\)
\(954\) −37.0919 + 47.3064i −1.20089 + 1.53160i
\(955\) 2.31936 1.65778i 0.0750526 0.0536444i
\(956\) −8.86206 17.3650i −0.286620 0.561625i
\(957\) 68.5663 7.14661i 2.21643 0.231017i
\(958\) −2.62150 3.42787i −0.0846969 0.110749i
\(959\) 18.2779 25.2259i 0.590224 0.814586i
\(960\) −2.75577 0.921748i −0.0889420 0.0297493i
\(961\) 4.07971 2.39072i 0.131604 0.0771199i
\(962\) 2.84471 + 13.1326i 0.0917170 + 0.423413i
\(963\) −9.60991 58.6315i −0.309675 1.88937i
\(964\) −13.3597 + 21.1966i −0.430287 + 0.682697i
\(965\) 3.79268 0.543031i 0.122091 0.0174808i
\(966\) −13.1642 10.1940i −0.423552 0.327988i
\(967\) 14.4078 13.4181i 0.463324 0.431497i −0.414813 0.909907i \(-0.636153\pi\)
0.878137 + 0.478410i \(0.158787\pi\)
\(968\) 9.00022 + 16.5636i 0.289278 + 0.532373i
\(969\) −7.97546 34.5801i −0.256209 1.11087i
\(970\) −3.70467 + 6.22929i −0.118950 + 0.200010i
\(971\) 16.9021 + 29.2753i 0.542414 + 0.939489i 0.998765 + 0.0496889i \(0.0158230\pi\)
−0.456350 + 0.889800i \(0.650844\pi\)
\(972\) 24.8986 5.95727i 0.798621 0.191079i
\(973\) 13.8171 23.9319i 0.442956 0.767222i
\(974\) 24.5926 + 43.8967i 0.787999 + 1.40654i
\(975\) −5.01005 + 40.7298i −0.160450 + 1.30440i
\(976\) 6.76197 11.0425i 0.216445 0.353463i
\(977\) 7.39161 + 32.1113i 0.236479 + 1.02733i 0.946387 + 0.323036i \(0.104704\pi\)
−0.709908 + 0.704295i \(0.751263\pi\)
\(978\) 26.1935 23.7897i 0.837574 0.760711i
\(979\) −17.2403 21.9494i −0.551003 0.701506i
\(980\) 0.405956 + 0.770689i 0.0129678 + 0.0246188i
\(981\) 1.40296 + 30.4089i 0.0447931 + 0.970883i
\(982\) −23.6938 + 21.5010i −0.756101 + 0.686125i
\(983\) −0.0861875 13.3329i −0.00274896 0.425254i −0.978487 0.206310i \(-0.933854\pi\)
0.975738 0.218943i \(-0.0702609\pi\)
\(984\) −1.55127 + 0.611248i −0.0494527 + 0.0194859i
\(985\) 4.23099 + 0.439166i 0.134811 + 0.0139930i
\(986\) −59.9599 + 7.79531i −1.90951 + 0.248253i
\(987\) 35.7226 + 24.1402i 1.13706 + 0.768392i
\(988\) 17.9550 27.6874i 0.571224 0.880853i
\(989\) 1.60991 + 16.5513i 0.0511922 + 0.526302i
\(990\) 9.08021 + 8.01444i 0.288588 + 0.254716i
\(991\) −5.78480 + 0.449630i −0.183760 + 0.0142830i −0.169043 0.985609i \(-0.554068\pi\)
−0.0147174 + 0.999892i \(0.504685\pi\)
\(992\) −7.53944 37.1189i −0.239377 1.17853i
\(993\) 16.8266 10.1647i 0.533977 0.322568i
\(994\) −7.46798 + 4.24751i −0.236870 + 0.134723i
\(995\) 2.58243 0.541936i 0.0818684 0.0171805i
\(996\) −4.48842 23.6070i −0.142221 0.748015i
\(997\) −3.57984 + 1.74028i −0.113375 + 0.0551153i −0.493027 0.870014i \(-0.664110\pi\)
0.379652 + 0.925129i \(0.376044\pi\)
\(998\) 4.64543 6.23989i 0.147048 0.197520i
\(999\) 7.53651 + 0.282777i 0.238444 + 0.00894667i
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 729.2.k.a.4.17 12960
729.547 even 243 inner 729.2.k.a.547.17 yes 12960
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
729.2.k.a.4.17 12960 1.1 even 1 trivial
729.2.k.a.547.17 yes 12960 729.547 even 243 inner