Properties

Label 320.2.bf.a.29.17
Level $320$
Weight $2$
Character 320.29
Analytic conductor $2.555$
Analytic rank $0$
Dimension $368$
CM no
Inner twists $4$

Related objects

Downloads

Learn more

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [320,2,Mod(29,320)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(320, base_ring=CyclotomicField(16))
 
chi = DirichletCharacter(H, H._module([0, 11, 8]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("320.29");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 320 = 2^{6} \cdot 5 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 320.bf (of order \(16\), degree \(8\), 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: \(2.55521286468\)
Analytic rank: \(0\)
Dimension: \(368\)
Relative dimension: \(46\) over \(\Q(\zeta_{16})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{16}]$

Embedding invariants

Embedding label 29.17
Character \(\chi\) \(=\) 320.29
Dual form 320.2.bf.a.309.17

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.628783 - 1.26674i) q^{2} +(0.368711 - 1.85364i) q^{3} +(-1.20926 + 1.59301i) q^{4} +(0.834497 + 2.07452i) q^{5} +(-2.57992 + 0.698473i) q^{6} +(1.47604 + 3.56349i) q^{7} +(2.77829 + 0.530167i) q^{8} +(-0.528383 - 0.218863i) q^{9} +O(q^{10})\) \(q+(-0.628783 - 1.26674i) q^{2} +(0.368711 - 1.85364i) q^{3} +(-1.20926 + 1.59301i) q^{4} +(0.834497 + 2.07452i) q^{5} +(-2.57992 + 0.698473i) q^{6} +(1.47604 + 3.56349i) q^{7} +(2.77829 + 0.530167i) q^{8} +(-0.528383 - 0.218863i) q^{9} +(2.10316 - 2.36151i) q^{10} +(0.755528 + 3.79830i) q^{11} +(2.50699 + 2.82890i) q^{12} +(2.55467 - 1.70697i) q^{13} +(3.58590 - 4.11043i) q^{14} +(4.15309 - 0.781958i) q^{15} +(-1.07536 - 3.85274i) q^{16} +(-0.420299 + 0.420299i) q^{17} +(0.0549950 + 0.806942i) q^{18} +(-6.15466 + 4.11241i) q^{19} +(-4.31385 - 1.17928i) q^{20} +(7.14965 - 1.42215i) q^{21} +(4.33640 - 3.34536i) q^{22} +(-4.61793 - 1.91281i) q^{23} +(2.00713 - 4.95447i) q^{24} +(-3.60723 + 3.46236i) q^{25} +(-3.76862 - 2.16278i) q^{26} +(2.54949 - 3.81558i) q^{27} +(-7.46160 - 1.95784i) q^{28} +(1.78738 - 8.98579i) q^{29} +(-3.60193 - 4.76920i) q^{30} +6.13374i q^{31} +(-4.20425 + 3.78474i) q^{32} +7.31924 q^{33} +(0.796687 + 0.268133i) q^{34} +(-6.16075 + 6.03580i) q^{35} +(0.987606 - 0.577056i) q^{36} +(3.16474 - 4.73638i) q^{37} +(9.07930 + 5.21054i) q^{38} +(-2.22217 - 5.36480i) q^{39} +(1.21864 + 6.20604i) q^{40} +(0.0274634 - 0.0663026i) q^{41} +(-6.29707 - 8.16252i) q^{42} +(-0.626128 - 3.14776i) q^{43} +(-6.96436 - 3.38958i) q^{44} +(0.0131013 - 1.27878i) q^{45} +(0.480642 + 7.05247i) q^{46} +(9.03628 - 9.03628i) q^{47} +(-7.53808 + 0.572778i) q^{48} +(-5.56998 + 5.56998i) q^{49} +(6.65407 + 2.39235i) q^{50} +(0.624113 + 0.934051i) q^{51} +(-0.370042 + 6.13379i) q^{52} +(2.48569 - 0.494435i) q^{53} +(-6.43642 - 0.830370i) q^{54} +(-7.24914 + 4.73702i) q^{55} +(2.21164 + 10.6830i) q^{56} +(5.35362 + 12.9248i) q^{57} +(-12.5065 + 3.38596i) q^{58} +(5.32528 - 7.96985i) q^{59} +(-3.77651 + 7.56150i) q^{60} +(6.32200 + 1.25752i) q^{61} +(7.76986 - 3.85679i) q^{62} -2.20594i q^{63} +(7.43785 + 2.94592i) q^{64} +(5.67300 + 3.87523i) q^{65} +(-4.60221 - 9.27157i) q^{66} +(-0.216875 + 1.09030i) q^{67} +(-0.161288 - 1.17779i) q^{68} +(-5.24834 + 7.85470i) q^{69} +(11.5196 + 4.00887i) q^{70} +(2.62595 - 1.08770i) q^{71} +(-1.35197 - 0.888199i) q^{72} +(0.833413 - 2.01204i) q^{73} +(-7.98970 - 1.03076i) q^{74} +(5.08792 + 7.96310i) q^{75} +(0.891498 - 14.7774i) q^{76} +(-12.4200 + 8.29877i) q^{77} +(-5.39855 + 6.18821i) q^{78} +(-6.44057 + 6.44057i) q^{79} +(7.09518 - 5.44595i) q^{80} +(-7.34589 - 7.34589i) q^{81} +(-0.101257 + 0.00690088i) q^{82} +(-7.48853 - 11.2074i) q^{83} +(-6.38031 + 13.1092i) q^{84} +(-1.22266 - 0.521178i) q^{85} +(-3.59369 + 2.77240i) q^{86} +(-15.9974 - 6.62632i) q^{87} +(0.0853473 + 10.9533i) q^{88} +(0.225838 + 0.545222i) q^{89} +(-1.62812 + 0.787479i) q^{90} +(9.85358 + 6.58395i) q^{91} +(8.63143 - 5.04332i) q^{92} +(11.3697 + 2.26158i) q^{93} +(-17.1285 - 5.76477i) q^{94} +(-13.6673 - 9.33614i) q^{95} +(5.46537 + 9.18864i) q^{96} -11.7969 q^{97} +(10.5580 + 3.55342i) q^{98} +(0.432100 - 2.17231i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 368 q - 16 q^{4} - 8 q^{5} - 16 q^{6} - 16 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 368 q - 16 q^{4} - 8 q^{5} - 16 q^{6} - 16 q^{9} - 8 q^{10} - 16 q^{11} - 16 q^{14} - 8 q^{15} - 16 q^{16} - 16 q^{19} - 8 q^{20} - 16 q^{21} - 16 q^{24} - 8 q^{25} - 96 q^{26} - 16 q^{29} + 72 q^{30} - 16 q^{34} - 8 q^{35} - 176 q^{36} - 16 q^{39} + 32 q^{40} - 16 q^{41} - 16 q^{44} - 8 q^{45} - 16 q^{46} - 16 q^{49} + 16 q^{50} + 16 q^{51} + 48 q^{54} - 72 q^{55} - 112 q^{56} - 80 q^{59} + 88 q^{60} - 16 q^{61} + 80 q^{64} - 16 q^{65} - 144 q^{66} - 16 q^{69} + 88 q^{70} + 48 q^{71} + 80 q^{74} - 72 q^{75} - 80 q^{76} - 48 q^{79} + 16 q^{80} - 16 q^{81} - 128 q^{84} - 8 q^{85} - 16 q^{86} - 16 q^{89} - 8 q^{90} - 16 q^{91} - 192 q^{94} - 16 q^{96} - 64 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/320\mathbb{Z}\right)^\times\).

\(n\) \(191\) \(257\) \(261\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{11}{16}\right)\)

Coefficient data

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



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.628783 1.26674i −0.444617 0.895721i
\(3\) 0.368711 1.85364i 0.212876 1.07020i −0.715517 0.698596i \(-0.753809\pi\)
0.928392 0.371602i \(-0.121191\pi\)
\(4\) −1.20926 + 1.59301i −0.604632 + 0.796505i
\(5\) 0.834497 + 2.07452i 0.373199 + 0.927751i
\(6\) −2.57992 + 0.698473i −1.05325 + 0.285151i
\(7\) 1.47604 + 3.56349i 0.557892 + 1.34687i 0.911432 + 0.411452i \(0.134978\pi\)
−0.353539 + 0.935420i \(0.615022\pi\)
\(8\) 2.77829 + 0.530167i 0.982276 + 0.187442i
\(9\) −0.528383 0.218863i −0.176128 0.0729545i
\(10\) 2.10316 2.36151i 0.665076 0.746776i
\(11\) 0.755528 + 3.79830i 0.227800 + 1.14523i 0.910174 + 0.414226i \(0.135948\pi\)
−0.682374 + 0.731004i \(0.739052\pi\)
\(12\) 2.50699 + 2.82890i 0.723706 + 0.816632i
\(13\) 2.55467 1.70697i 0.708537 0.473429i −0.148349 0.988935i \(-0.547396\pi\)
0.856886 + 0.515506i \(0.172396\pi\)
\(14\) 3.58590 4.11043i 0.958373 1.09856i
\(15\) 4.15309 0.781958i 1.07232 0.201901i
\(16\) −1.07536 3.85274i −0.268840 0.963185i
\(17\) −0.420299 + 0.420299i −0.101937 + 0.101937i −0.756236 0.654299i \(-0.772964\pi\)
0.654299 + 0.756236i \(0.272964\pi\)
\(18\) 0.0549950 + 0.806942i 0.0129624 + 0.190198i
\(19\) −6.15466 + 4.11241i −1.41198 + 0.943452i −0.412503 + 0.910956i \(0.635346\pi\)
−0.999472 + 0.0324957i \(0.989654\pi\)
\(20\) −4.31385 1.17928i −0.964606 0.263694i
\(21\) 7.14965 1.42215i 1.56018 0.310339i
\(22\) 4.33640 3.34536i 0.924523 0.713234i
\(23\) −4.61793 1.91281i −0.962906 0.398849i −0.154839 0.987940i \(-0.549486\pi\)
−0.808067 + 0.589091i \(0.799486\pi\)
\(24\) 2.00713 4.95447i 0.409703 1.01133i
\(25\) −3.60723 + 3.46236i −0.721446 + 0.692471i
\(26\) −3.76862 2.16278i −0.739088 0.424157i
\(27\) 2.54949 3.81558i 0.490649 0.734309i
\(28\) −7.46160 1.95784i −1.41011 0.369998i
\(29\) 1.78738 8.98579i 0.331909 1.66862i −0.349669 0.936873i \(-0.613706\pi\)
0.681578 0.731745i \(-0.261294\pi\)
\(30\) −3.60193 4.76920i −0.657619 0.870733i
\(31\) 6.13374i 1.10165i 0.834620 + 0.550826i \(0.185687\pi\)
−0.834620 + 0.550826i \(0.814313\pi\)
\(32\) −4.20425 + 3.78474i −0.743214 + 0.669054i
\(33\) 7.31924 1.27412
\(34\) 0.796687 + 0.268133i 0.136631 + 0.0459845i
\(35\) −6.16075 + 6.03580i −1.04136 + 1.02024i
\(36\) 0.987606 0.577056i 0.164601 0.0961759i
\(37\) 3.16474 4.73638i 0.520281 0.778655i −0.474547 0.880230i \(-0.657388\pi\)
0.994828 + 0.101575i \(0.0323881\pi\)
\(38\) 9.07930 + 5.21054i 1.47286 + 0.845262i
\(39\) −2.22217 5.36480i −0.355833 0.859056i
\(40\) 1.21864 + 6.20604i 0.192684 + 0.981261i
\(41\) 0.0274634 0.0663026i 0.00428907 0.0103547i −0.921720 0.387855i \(-0.873216\pi\)
0.926010 + 0.377500i \(0.123216\pi\)
\(42\) −6.29707 8.16252i −0.971660 1.25950i
\(43\) −0.626128 3.14776i −0.0954836 0.480028i −0.998706 0.0508556i \(-0.983805\pi\)
0.903222 0.429173i \(-0.141195\pi\)
\(44\) −6.96436 3.38958i −1.04992 0.510999i
\(45\) 0.0131013 1.27878i 0.00195302 0.190629i
\(46\) 0.480642 + 7.05247i 0.0708668 + 1.03983i
\(47\) 9.03628 9.03628i 1.31808 1.31808i 0.402781 0.915296i \(-0.368044\pi\)
0.915296 0.402781i \(-0.131956\pi\)
\(48\) −7.53808 + 0.572778i −1.08803 + 0.0826733i
\(49\) −5.56998 + 5.56998i −0.795712 + 0.795712i
\(50\) 6.65407 + 2.39235i 0.941028 + 0.338330i
\(51\) 0.624113 + 0.934051i 0.0873933 + 0.130793i
\(52\) −0.370042 + 6.13379i −0.0513155 + 0.850603i
\(53\) 2.48569 0.494435i 0.341436 0.0679158i −0.0213942 0.999771i \(-0.506811\pi\)
0.362830 + 0.931855i \(0.381811\pi\)
\(54\) −6.43642 0.830370i −0.875886 0.112999i
\(55\) −7.24914 + 4.73702i −0.977474 + 0.638740i
\(56\) 2.21164 + 10.6830i 0.295543 + 1.42757i
\(57\) 5.35362 + 12.9248i 0.709105 + 1.71193i
\(58\) −12.5065 + 3.38596i −1.64219 + 0.444598i
\(59\) 5.32528 7.96985i 0.693293 1.03759i −0.303120 0.952953i \(-0.598028\pi\)
0.996412 0.0846332i \(-0.0269719\pi\)
\(60\) −3.77651 + 7.56150i −0.487546 + 0.976186i
\(61\) 6.32200 + 1.25752i 0.809449 + 0.161009i 0.582430 0.812881i \(-0.302102\pi\)
0.227019 + 0.973890i \(0.427102\pi\)
\(62\) 7.76986 3.85679i 0.986773 0.489813i
\(63\) 2.20594i 0.277922i
\(64\) 7.43785 + 2.94592i 0.929731 + 0.368240i
\(65\) 5.67300 + 3.87523i 0.703649 + 0.480663i
\(66\) −4.60221 9.27157i −0.566493 1.14125i
\(67\) −0.216875 + 1.09030i −0.0264955 + 0.133202i −0.991769 0.128039i \(-0.959132\pi\)
0.965274 + 0.261241i \(0.0841317\pi\)
\(68\) −0.161288 1.17779i −0.0195590 0.142828i
\(69\) −5.24834 + 7.85470i −0.631826 + 0.945595i
\(70\) 11.5196 + 4.00887i 1.37685 + 0.479152i
\(71\) 2.62595 1.08770i 0.311642 0.129087i −0.221380 0.975188i \(-0.571056\pi\)
0.533022 + 0.846101i \(0.321056\pi\)
\(72\) −1.35197 0.888199i −0.159331 0.104675i
\(73\) 0.833413 2.01204i 0.0975437 0.235491i −0.867574 0.497308i \(-0.834322\pi\)
0.965117 + 0.261817i \(0.0843218\pi\)
\(74\) −7.98970 1.03076i −0.928783 0.119823i
\(75\) 5.08792 + 7.96310i 0.587503 + 0.919500i
\(76\) 0.891498 14.7774i 0.102262 1.69509i
\(77\) −12.4200 + 8.29877i −1.41539 + 0.945733i
\(78\) −5.39855 + 6.18821i −0.611265 + 0.700677i
\(79\) −6.44057 + 6.44057i −0.724621 + 0.724621i −0.969543 0.244922i \(-0.921238\pi\)
0.244922 + 0.969543i \(0.421238\pi\)
\(80\) 7.09518 5.44595i 0.793266 0.608876i
\(81\) −7.34589 7.34589i −0.816210 0.816210i
\(82\) −0.101257 + 0.00690088i −0.0111819 + 0.000762075i
\(83\) −7.48853 11.2074i −0.821973 1.23017i −0.970462 0.241256i \(-0.922441\pi\)
0.148488 0.988914i \(-0.452559\pi\)
\(84\) −6.38031 + 13.1092i −0.696149 + 1.43033i
\(85\) −1.22266 0.521178i −0.132616 0.0565297i
\(86\) −3.59369 + 2.77240i −0.387518 + 0.298955i
\(87\) −15.9974 6.62632i −1.71510 0.710416i
\(88\) 0.0853473 + 10.9533i 0.00909806 + 1.16763i
\(89\) 0.225838 + 0.545222i 0.0239388 + 0.0577934i 0.935397 0.353599i \(-0.115042\pi\)
−0.911458 + 0.411393i \(0.865042\pi\)
\(90\) −1.62812 + 0.787479i −0.171619 + 0.0830076i
\(91\) 9.85358 + 6.58395i 1.03294 + 0.690185i
\(92\) 8.63143 5.04332i 0.899889 0.525802i
\(93\) 11.3697 + 2.26158i 1.17899 + 0.234515i
\(94\) −17.1285 5.76477i −1.76667 0.594590i
\(95\) −13.6673 9.33614i −1.40224 0.957867i
\(96\) 5.46537 + 9.18864i 0.557807 + 0.937811i
\(97\) −11.7969 −1.19779 −0.598896 0.800827i \(-0.704394\pi\)
−0.598896 + 0.800827i \(0.704394\pi\)
\(98\) 10.5580 + 3.55342i 1.06652 + 0.358949i
\(99\) 0.432100 2.17231i 0.0434277 0.218326i
\(100\) −1.15347 9.93325i −0.115347 0.993325i
\(101\) 0.464418 + 0.310314i 0.0462114 + 0.0308774i 0.578461 0.815710i \(-0.303653\pi\)
−0.532250 + 0.846587i \(0.678653\pi\)
\(102\) 0.790769 1.37790i 0.0782978 0.136433i
\(103\) −11.8543 + 4.91021i −1.16804 + 0.483817i −0.880543 0.473965i \(-0.842822\pi\)
−0.287494 + 0.957782i \(0.592822\pi\)
\(104\) 8.00260 3.38807i 0.784719 0.332228i
\(105\) 8.91664 + 13.6453i 0.870175 + 1.33164i
\(106\) −2.18928 2.83783i −0.212642 0.275635i
\(107\) 2.00839 + 10.0969i 0.194158 + 0.976100i 0.947812 + 0.318829i \(0.103289\pi\)
−0.753654 + 0.657271i \(0.771711\pi\)
\(108\) 2.99525 + 8.67540i 0.288218 + 0.834791i
\(109\) 5.77190 3.85666i 0.552848 0.369401i −0.247546 0.968876i \(-0.579624\pi\)
0.800393 + 0.599475i \(0.204624\pi\)
\(110\) 10.5587 + 6.20422i 1.00673 + 0.591549i
\(111\) −7.61264 7.61264i −0.722560 0.722560i
\(112\) 12.1419 9.51885i 1.14730 0.899446i
\(113\) 2.71223 + 2.71223i 0.255145 + 0.255145i 0.823076 0.567931i \(-0.192256\pi\)
−0.567931 + 0.823076i \(0.692256\pi\)
\(114\) 13.0061 14.9085i 1.21813 1.39631i
\(115\) 0.114502 11.1762i 0.0106774 1.04219i
\(116\) 12.1530 + 13.7135i 1.12838 + 1.27327i
\(117\) −1.72344 + 0.342813i −0.159332 + 0.0316930i
\(118\) −13.4442 1.73445i −1.23764 0.159669i
\(119\) −2.11811 0.877350i −0.194167 0.0804265i
\(120\) 11.9531 + 0.0293214i 1.09116 + 0.00267667i
\(121\) −3.69357 + 1.52993i −0.335779 + 0.139084i
\(122\) −2.38221 8.79904i −0.215675 0.796627i
\(123\) −0.112775 0.0753537i −0.0101686 0.00679442i
\(124\) −9.77111 7.41731i −0.877471 0.666094i
\(125\) −10.1929 4.59392i −0.911684 0.410893i
\(126\) −2.79435 + 1.38706i −0.248941 + 0.123569i
\(127\) 3.97892i 0.353072i −0.984294 0.176536i \(-0.943511\pi\)
0.984294 0.176536i \(-0.0564891\pi\)
\(128\) −0.945069 11.2742i −0.0835331 0.996505i
\(129\) −6.06566 −0.534051
\(130\) 1.34182 9.62290i 0.117686 0.843984i
\(131\) 8.39038 + 1.66895i 0.733071 + 0.145817i 0.547490 0.836812i \(-0.315583\pi\)
0.185581 + 0.982629i \(0.440583\pi\)
\(132\) −8.85089 + 11.6596i −0.770371 + 1.01484i
\(133\) −23.7391 15.8619i −2.05844 1.37540i
\(134\) 1.51750 0.410840i 0.131092 0.0354912i
\(135\) 10.0430 + 2.10486i 0.864366 + 0.181158i
\(136\) −1.39054 + 0.944886i −0.119238 + 0.0810233i
\(137\) −1.34433 + 3.24550i −0.114854 + 0.277282i −0.970845 0.239709i \(-0.922948\pi\)
0.855991 + 0.516991i \(0.172948\pi\)
\(138\) 13.2499 + 1.70939i 1.12791 + 0.145513i
\(139\) −0.523823 2.63344i −0.0444301 0.223365i 0.952191 0.305504i \(-0.0988249\pi\)
−0.996621 + 0.0821388i \(0.973825\pi\)
\(140\) −2.16511 17.1130i −0.182985 1.44631i
\(141\) −13.4182 20.0818i −1.13002 1.69119i
\(142\) −3.02899 2.64246i −0.254187 0.221751i
\(143\) 8.41371 + 8.41371i 0.703590 + 0.703590i
\(144\) −0.275022 + 2.27108i −0.0229185 + 0.189257i
\(145\) 20.1327 3.79066i 1.67193 0.314797i
\(146\) −3.07277 + 0.209416i −0.254304 + 0.0173314i
\(147\) 8.27101 + 12.3784i 0.682182 + 1.02096i
\(148\) 3.71808 + 10.7690i 0.305624 + 0.885206i
\(149\) 19.5579 3.89030i 1.60224 0.318706i 0.688574 0.725166i \(-0.258237\pi\)
0.913669 + 0.406460i \(0.133237\pi\)
\(150\) 6.88799 11.4521i 0.562402 0.935063i
\(151\) −2.86285 + 6.91153i −0.232975 + 0.562453i −0.996525 0.0832970i \(-0.973455\pi\)
0.763549 + 0.645750i \(0.223455\pi\)
\(152\) −19.2797 + 8.16249i −1.56379 + 0.662065i
\(153\) 0.314067 0.130091i 0.0253908 0.0105172i
\(154\) 18.3219 + 10.5148i 1.47642 + 0.847305i
\(155\) −12.7245 + 5.11859i −1.02206 + 0.411135i
\(156\) 11.2334 + 2.94752i 0.899390 + 0.235990i
\(157\) 17.1668 + 3.41470i 1.37006 + 0.272522i 0.824649 0.565645i \(-0.191373\pi\)
0.545413 + 0.838167i \(0.316373\pi\)
\(158\) 12.2083 + 4.10881i 0.971237 + 0.326880i
\(159\) 4.78987i 0.379862i
\(160\) −11.3599 5.56344i −0.898082 0.439828i
\(161\) 19.2793i 1.51943i
\(162\) −4.68637 + 13.9243i −0.368196 + 1.09400i
\(163\) 3.82978 + 0.761791i 0.299972 + 0.0596681i 0.342782 0.939415i \(-0.388631\pi\)
−0.0428097 + 0.999083i \(0.513631\pi\)
\(164\) 0.0724101 + 0.123927i 0.00565428 + 0.00967706i
\(165\) 6.10788 + 15.1839i 0.475498 + 1.18206i
\(166\) −9.48818 + 16.5330i −0.736426 + 1.28321i
\(167\) 4.03171 1.66999i 0.311983 0.129227i −0.221198 0.975229i \(-0.570997\pi\)
0.533181 + 0.846001i \(0.320997\pi\)
\(168\) 20.6178 0.160652i 1.59070 0.0123946i
\(169\) −1.36233 + 3.28895i −0.104794 + 0.252996i
\(170\) 0.108587 + 1.87650i 0.00832822 + 0.143921i
\(171\) 4.15207 0.825899i 0.317517 0.0631581i
\(172\) 5.77156 + 2.80904i 0.440077 + 0.214187i
\(173\) −3.95564 5.92004i −0.300742 0.450092i 0.650064 0.759879i \(-0.274742\pi\)
−0.950806 + 0.309788i \(0.899742\pi\)
\(174\) 1.66503 + 24.4310i 0.126226 + 1.85211i
\(175\) −17.6625 7.74372i −1.33516 0.585370i
\(176\) 13.8214 6.99539i 1.04183 0.527297i
\(177\) −12.8097 12.8097i −0.962837 0.962837i
\(178\) 0.548652 0.628905i 0.0411232 0.0471384i
\(179\) −4.97364 7.44358i −0.371748 0.556359i 0.597681 0.801734i \(-0.296089\pi\)
−0.969428 + 0.245375i \(0.921089\pi\)
\(180\) 2.02127 + 1.56725i 0.150656 + 0.116816i
\(181\) −0.540359 2.71657i −0.0401645 0.201921i 0.955493 0.295014i \(-0.0953244\pi\)
−0.995657 + 0.0930936i \(0.970324\pi\)
\(182\) 2.14440 16.6218i 0.158953 1.23209i
\(183\) 4.66198 11.2550i 0.344624 0.831995i
\(184\) −11.8159 7.76263i −0.871078 0.572269i
\(185\) 12.4667 + 2.61282i 0.916567 + 0.192098i
\(186\) −4.28425 15.8245i −0.314137 1.16031i
\(187\) −1.91397 1.27887i −0.139963 0.0935205i
\(188\) 3.46763 + 25.3221i 0.252903 + 1.84681i
\(189\) 17.3599 + 3.45310i 1.26275 + 0.251176i
\(190\) −3.23270 + 23.1833i −0.234525 + 1.68190i
\(191\) −7.97517 −0.577063 −0.288531 0.957470i \(-0.593167\pi\)
−0.288531 + 0.957470i \(0.593167\pi\)
\(192\) 8.20309 12.7009i 0.592007 0.916606i
\(193\) 2.50603i 0.180388i −0.995924 0.0901939i \(-0.971251\pi\)
0.995924 0.0901939i \(-0.0287487\pi\)
\(194\) 7.41768 + 14.9436i 0.532558 + 1.07289i
\(195\) 9.27497 9.08685i 0.664194 0.650723i
\(196\) −2.13746 15.6086i −0.152675 1.11490i
\(197\) −0.843429 0.563561i −0.0600918 0.0401521i 0.525161 0.851003i \(-0.324005\pi\)
−0.585253 + 0.810851i \(0.699005\pi\)
\(198\) −3.02346 + 0.818555i −0.214868 + 0.0581722i
\(199\) 3.55499 1.47252i 0.252006 0.104384i −0.253105 0.967439i \(-0.581452\pi\)
0.505111 + 0.863055i \(0.331452\pi\)
\(200\) −11.8576 + 7.70701i −0.838457 + 0.544968i
\(201\) 1.94106 + 0.804015i 0.136912 + 0.0567109i
\(202\) 0.101070 0.783418i 0.00711124 0.0551211i
\(203\) 34.6590 6.89410i 2.43258 0.483871i
\(204\) −2.24267 0.135297i −0.157018 0.00947266i
\(205\) 0.160464 + 0.00164397i 0.0112073 + 0.000114820i
\(206\) 13.6737 + 11.9289i 0.952694 + 0.831123i
\(207\) 2.02139 + 2.02139i 0.140497 + 0.140497i
\(208\) −9.32371 8.00685i −0.646483 0.555175i
\(209\) −20.2702 20.2702i −1.40212 1.40212i
\(210\) 11.6784 19.8750i 0.805885 1.37150i
\(211\) −19.7886 + 13.2223i −1.36230 + 0.910262i −0.999764 0.0217065i \(-0.993090\pi\)
−0.362539 + 0.931969i \(0.618090\pi\)
\(212\) −2.21822 + 4.55763i −0.152348 + 0.313019i
\(213\) −1.04799 5.26860i −0.0718071 0.360998i
\(214\) 11.5273 8.89284i 0.787987 0.607902i
\(215\) 6.00757 3.92571i 0.409713 0.267731i
\(216\) 9.10613 9.24915i 0.619593 0.629325i
\(217\) −21.8575 + 9.05367i −1.48378 + 0.614603i
\(218\) −8.51466 4.88650i −0.576686 0.330955i
\(219\) −3.42230 2.28671i −0.231257 0.154521i
\(220\) 1.22000 17.2763i 0.0822524 1.16477i
\(221\) −0.356284 + 1.79116i −0.0239663 + 0.120487i
\(222\) −4.85655 + 14.4299i −0.325950 + 0.968474i
\(223\) 12.4696 0.835028 0.417514 0.908671i \(-0.362902\pi\)
0.417514 + 0.908671i \(0.362902\pi\)
\(224\) −19.6925 9.39536i −1.31576 0.627754i
\(225\) 2.66378 1.03996i 0.177585 0.0693306i
\(226\) 1.73029 5.14110i 0.115097 0.341981i
\(227\) −2.40127 0.477642i −0.159378 0.0317022i 0.114756 0.993394i \(-0.463391\pi\)
−0.274134 + 0.961691i \(0.588391\pi\)
\(228\) −27.0633 7.10112i −1.79231 0.470283i
\(229\) −13.0719 8.73439i −0.863818 0.577185i 0.0428255 0.999083i \(-0.486364\pi\)
−0.906643 + 0.421898i \(0.861364\pi\)
\(230\) −14.2294 + 6.88237i −0.938256 + 0.453810i
\(231\) 10.8035 + 26.0820i 0.710819 + 1.71607i
\(232\) 9.72985 24.0176i 0.638796 1.57683i
\(233\) −5.98102 2.47742i −0.391830 0.162301i 0.178065 0.984019i \(-0.443016\pi\)
−0.569895 + 0.821717i \(0.693016\pi\)
\(234\) 1.51792 + 1.96759i 0.0992297 + 0.128626i
\(235\) 26.2867 + 11.2052i 1.71475 + 0.730944i
\(236\) 6.25637 + 18.1209i 0.407255 + 1.17957i
\(237\) 9.56377 + 14.3132i 0.621234 + 0.929742i
\(238\) 0.220456 + 3.23476i 0.0142901 + 0.209678i
\(239\) 0.307809 + 0.307809i 0.0199105 + 0.0199105i 0.716992 0.697081i \(-0.245518\pi\)
−0.697081 + 0.716992i \(0.745518\pi\)
\(240\) −7.47874 15.1599i −0.482751 0.978566i
\(241\) −21.5339 + 21.5339i −1.38712 + 1.38712i −0.555815 + 0.831306i \(0.687594\pi\)
−0.831306 + 0.555815i \(0.812406\pi\)
\(242\) 4.26047 + 3.71680i 0.273873 + 0.238925i
\(243\) −4.87840 + 3.25964i −0.312949 + 0.209106i
\(244\) −9.64821 + 8.55032i −0.617663 + 0.547378i
\(245\) −16.2032 6.90688i −1.03518 0.441264i
\(246\) −0.0245428 + 0.190238i −0.00156479 + 0.0121291i
\(247\) −8.70332 + 21.0117i −0.553779 + 1.33694i
\(248\) −3.25191 + 17.0413i −0.206496 + 1.08213i
\(249\) −23.5355 + 9.74873i −1.49150 + 0.617801i
\(250\) 0.589830 + 15.8004i 0.0373041 + 0.999304i
\(251\) −0.176076 + 0.263517i −0.0111138 + 0.0166330i −0.836985 0.547226i \(-0.815684\pi\)
0.825871 + 0.563859i \(0.190684\pi\)
\(252\) 3.51408 + 2.66756i 0.221366 + 0.168041i
\(253\) 3.77645 18.9855i 0.237423 1.19361i
\(254\) −5.04025 + 2.50187i −0.316254 + 0.156982i
\(255\) −1.41688 + 2.07419i −0.0887286 + 0.129891i
\(256\) −13.6872 + 8.28616i −0.855450 + 0.517885i
\(257\) 15.4091i 0.961192i −0.876942 0.480596i \(-0.840420\pi\)
0.876942 0.480596i \(-0.159580\pi\)
\(258\) 3.81398 + 7.68362i 0.237448 + 0.478361i
\(259\) 21.5493 + 4.28643i 1.33901 + 0.266346i
\(260\) −13.0334 + 4.35097i −0.808299 + 0.269836i
\(261\) −2.91108 + 4.35674i −0.180192 + 0.269676i
\(262\) −3.16160 11.6778i −0.195324 0.721460i
\(263\) −1.17951 2.84759i −0.0727317 0.175590i 0.883333 0.468747i \(-0.155294\pi\)
−0.956064 + 0.293157i \(0.905294\pi\)
\(264\) 20.3350 + 3.88042i 1.25153 + 0.238823i
\(265\) 3.10002 + 4.74400i 0.190432 + 0.291422i
\(266\) −5.16625 + 40.0450i −0.316763 + 2.45531i
\(267\) 1.09391 0.217593i 0.0669464 0.0133165i
\(268\) −1.47461 1.66395i −0.0900759 0.101642i
\(269\) 11.0963 + 16.6067i 0.676552 + 1.01253i 0.997849 + 0.0655527i \(0.0208811\pi\)
−0.321297 + 0.946978i \(0.604119\pi\)
\(270\) −3.64856 14.0454i −0.222044 0.854776i
\(271\) 12.7670 12.7670i 0.775539 0.775539i −0.203530 0.979069i \(-0.565241\pi\)
0.979069 + 0.203530i \(0.0652414\pi\)
\(272\) 2.07128 + 1.16733i 0.125590 + 0.0707798i
\(273\) 15.8374 15.8374i 0.958522 0.958522i
\(274\) 4.95650 0.337797i 0.299433 0.0204071i
\(275\) −15.8764 11.0854i −0.957384 0.668476i
\(276\) −6.16598 17.8591i −0.371148 1.07499i
\(277\) −2.36100 11.8695i −0.141859 0.713171i −0.984596 0.174846i \(-0.944057\pi\)
0.842737 0.538325i \(-0.180943\pi\)
\(278\) −3.00651 + 2.31941i −0.180318 + 0.139109i
\(279\) 1.34245 3.24096i 0.0803705 0.194031i
\(280\) −20.3164 + 13.5030i −1.21414 + 0.806958i
\(281\) −4.36635 10.5413i −0.260474 0.628841i 0.738494 0.674260i \(-0.235537\pi\)
−0.998968 + 0.0454197i \(0.985537\pi\)
\(282\) −17.0013 + 29.6245i −1.01241 + 1.76411i
\(283\) −1.83656 + 2.74861i −0.109172 + 0.163388i −0.882033 0.471188i \(-0.843825\pi\)
0.772860 + 0.634576i \(0.218825\pi\)
\(284\) −1.44274 + 5.49848i −0.0856110 + 0.326275i
\(285\) −22.3451 + 21.8919i −1.32361 + 1.29676i
\(286\) 5.36759 15.9484i 0.317393 0.943048i
\(287\) 0.276806 0.0163393
\(288\) 3.04980 1.07963i 0.179711 0.0636180i
\(289\) 16.6467i 0.979217i
\(290\) −17.4609 23.1194i −1.02534 1.35762i
\(291\) −4.34964 + 21.8671i −0.254981 + 1.28187i
\(292\) 2.19738 + 3.76072i 0.128592 + 0.220080i
\(293\) −15.7528 + 23.5757i −0.920286 + 1.37731i 0.00579602 + 0.999983i \(0.498155\pi\)
−0.926082 + 0.377322i \(0.876845\pi\)
\(294\) 10.4796 18.2606i 0.611183 1.06498i
\(295\) 20.9775 + 4.39656i 1.22136 + 0.255978i
\(296\) 11.3037 11.4812i 0.657012 0.667331i
\(297\) 16.4189 + 6.80094i 0.952722 + 0.394630i
\(298\) −17.2257 22.3286i −0.997855 1.29346i
\(299\) −15.0624 + 2.99610i −0.871081 + 0.173269i
\(300\) −18.8379 1.52438i −1.08761 0.0880102i
\(301\) 10.2928 6.87743i 0.593267 0.396408i
\(302\) 10.5552 0.719363i 0.607385 0.0413947i
\(303\) 0.746447 0.746447i 0.0428822 0.0428822i
\(304\) 22.4625 + 19.2900i 1.28831 + 1.10636i
\(305\) 2.66694 + 14.1645i 0.152708 + 0.811056i
\(306\) −0.362271 0.316043i −0.0207097 0.0180670i
\(307\) 2.54879 1.70305i 0.145467 0.0971982i −0.480707 0.876881i \(-0.659620\pi\)
0.626174 + 0.779683i \(0.284620\pi\)
\(308\) 1.79903 29.8206i 0.102509 1.69918i
\(309\) 4.73093 + 23.7840i 0.269133 + 1.35302i
\(310\) 14.4849 + 12.9002i 0.822687 + 0.732683i
\(311\) −18.3463 7.59929i −1.04032 0.430916i −0.203896 0.978993i \(-0.565360\pi\)
−0.836428 + 0.548076i \(0.815360\pi\)
\(312\) −3.32961 16.0831i −0.188502 0.910528i
\(313\) −0.450620 1.08789i −0.0254705 0.0614913i 0.910633 0.413217i \(-0.135595\pi\)
−0.936103 + 0.351726i \(0.885595\pi\)
\(314\) −6.46868 23.8930i −0.365049 1.34836i
\(315\) 4.57625 1.84085i 0.257843 0.103720i
\(316\) −2.47154 18.0482i −0.139035 1.01529i
\(317\) 1.73050 8.69980i 0.0971944 0.488629i −0.901271 0.433255i \(-0.857365\pi\)
0.998466 0.0553740i \(-0.0176351\pi\)
\(318\) −6.06753 + 3.01179i −0.340250 + 0.168893i
\(319\) 35.4811 1.98656
\(320\) 0.0955011 + 17.8883i 0.00533867 + 0.999986i
\(321\) 19.4564 1.08595
\(322\) −24.4219 + 12.1225i −1.36098 + 0.675562i
\(323\) 0.858354 4.31524i 0.0477601 0.240106i
\(324\) 20.5852 2.81895i 1.14362 0.156608i
\(325\) −3.30511 + 15.0026i −0.183335 + 0.832195i
\(326\) −1.44311 5.33035i −0.0799265 0.295221i
\(327\) −5.02068 12.1210i −0.277644 0.670293i
\(328\) 0.111453 0.169648i 0.00615396 0.00936724i
\(329\) 45.5386 + 18.8627i 2.51063 + 1.03994i
\(330\) 15.3935 17.2845i 0.847384 0.951478i
\(331\) −0.249827 1.25596i −0.0137317 0.0690341i 0.973312 0.229487i \(-0.0737047\pi\)
−0.987044 + 0.160452i \(0.948705\pi\)
\(332\) 26.9091 + 1.62338i 1.47683 + 0.0890946i
\(333\) −2.70882 + 1.80997i −0.148442 + 0.0991860i
\(334\) −4.65051 4.05707i −0.254464 0.221993i
\(335\) −2.44284 + 0.459946i −0.133466 + 0.0251295i
\(336\) −13.1676 26.0164i −0.718353 1.41931i
\(337\) −0.464319 + 0.464319i −0.0252931 + 0.0252931i −0.719640 0.694347i \(-0.755693\pi\)
0.694347 + 0.719640i \(0.255693\pi\)
\(338\) 5.02285 0.342319i 0.273207 0.0186197i
\(339\) 6.02753 4.02747i 0.327370 0.218742i
\(340\) 2.30876 1.31746i 0.125210 0.0714493i
\(341\) −23.2978 + 4.63421i −1.26164 + 0.250957i
\(342\) −3.65695 4.74029i −0.197745 0.256326i
\(343\) −3.12571 1.29471i −0.168772 0.0699078i
\(344\) −0.0707298 9.07735i −0.00381349 0.489418i
\(345\) −20.6744 4.33304i −1.11307 0.233283i
\(346\) −5.01191 + 8.73319i −0.269442 + 0.469499i
\(347\) −16.4177 + 24.5708i −0.881349 + 1.31903i 0.0656655 + 0.997842i \(0.479083\pi\)
−0.947015 + 0.321190i \(0.895917\pi\)
\(348\) 29.9008 17.4710i 1.60285 0.936542i
\(349\) 0.122684 0.616776i 0.00656715 0.0330153i −0.977363 0.211570i \(-0.932142\pi\)
0.983930 + 0.178555i \(0.0571423\pi\)
\(350\) 1.29658 + 27.2429i 0.0693053 + 1.45619i
\(351\) 14.0994i 0.752572i
\(352\) −17.5520 13.1095i −0.935524 0.698740i
\(353\) −20.5982 −1.09633 −0.548167 0.836369i \(-0.684674\pi\)
−0.548167 + 0.836369i \(0.684674\pi\)
\(354\) −8.17206 + 24.2811i −0.434340 + 1.29053i
\(355\) 4.44780 + 4.53988i 0.236065 + 0.240952i
\(356\) −1.14164 0.299555i −0.0605069 0.0158764i
\(357\) −2.40726 + 3.60272i −0.127406 + 0.190676i
\(358\) −6.30175 + 10.9807i −0.333058 + 0.580349i
\(359\) 3.63817 + 8.78331i 0.192015 + 0.463565i 0.990340 0.138662i \(-0.0442801\pi\)
−0.798325 + 0.602227i \(0.794280\pi\)
\(360\) 0.714366 3.54588i 0.0376504 0.186884i
\(361\) 13.6969 33.0673i 0.720890 1.74038i
\(362\) −3.10142 + 2.39262i −0.163007 + 0.125754i
\(363\) 1.47407 + 7.41063i 0.0773684 + 0.388957i
\(364\) −22.4039 + 7.73511i −1.17428 + 0.405430i
\(365\) 4.86948 + 0.0498885i 0.254880 + 0.00261129i
\(366\) −17.1886 + 1.17144i −0.898461 + 0.0612322i
\(367\) 9.62899 9.62899i 0.502629 0.502629i −0.409625 0.912254i \(-0.634340\pi\)
0.912254 + 0.409625i \(0.134340\pi\)
\(368\) −2.40362 + 19.8487i −0.125298 + 1.03468i
\(369\) −0.0290224 + 0.0290224i −0.00151085 + 0.00151085i
\(370\) −4.52905 17.4349i −0.235454 0.906398i
\(371\) 5.43090 + 8.12792i 0.281958 + 0.421981i
\(372\) −17.3517 + 15.3772i −0.899645 + 0.797272i
\(373\) −26.0380 + 5.17928i −1.34820 + 0.268173i −0.815806 0.578325i \(-0.803706\pi\)
−0.532391 + 0.846499i \(0.678706\pi\)
\(374\) −0.416530 + 3.22864i −0.0215382 + 0.166949i
\(375\) −12.2737 + 17.2002i −0.633812 + 0.888213i
\(376\) 29.8962 20.3147i 1.54178 1.04765i
\(377\) −10.7723 26.0067i −0.554803 1.33941i
\(378\) −6.54144 24.1618i −0.336455 1.24275i
\(379\) 7.07568 10.5895i 0.363453 0.543946i −0.604004 0.796981i \(-0.706429\pi\)
0.967457 + 0.253035i \(0.0814289\pi\)
\(380\) 31.3999 10.4823i 1.61078 0.537730i
\(381\) −7.37546 1.46707i −0.377856 0.0751603i
\(382\) 5.01465 + 10.1025i 0.256572 + 0.516887i
\(383\) 2.45552i 0.125471i −0.998030 0.0627355i \(-0.980018\pi\)
0.998030 0.0627355i \(-0.0199824\pi\)
\(384\) −21.2467 2.40510i −1.08424 0.122735i
\(385\) −27.5804 18.8402i −1.40563 0.960183i
\(386\) −3.17449 + 1.57575i −0.161577 + 0.0802034i
\(387\) −0.358094 + 1.80026i −0.0182029 + 0.0915122i
\(388\) 14.2656 18.7925i 0.724224 0.954047i
\(389\) −16.1117 + 24.1128i −0.816894 + 1.22257i 0.155179 + 0.987886i \(0.450405\pi\)
−0.972072 + 0.234681i \(0.924595\pi\)
\(390\) −17.3426 6.03532i −0.878178 0.305611i
\(391\) 2.74487 1.13696i 0.138814 0.0574986i
\(392\) −18.4281 + 12.5220i −0.930759 + 0.632458i
\(393\) 6.18726 14.9374i 0.312106 0.753490i
\(394\) −0.183552 + 1.42276i −0.00924723 + 0.0716777i
\(395\) −18.7357 7.98642i −0.942696 0.401841i
\(396\) 2.93799 + 3.31524i 0.147640 + 0.166597i
\(397\) 28.3940 18.9723i 1.42505 0.952190i 0.426185 0.904636i \(-0.359857\pi\)
0.998869 0.0475539i \(-0.0151426\pi\)
\(398\) −4.10062 3.57735i −0.205545 0.179316i
\(399\) −38.1551 + 38.1551i −1.91015 + 1.91015i
\(400\) 17.2186 + 10.1744i 0.860931 + 0.508722i
\(401\) 23.2222 + 23.2222i 1.15966 + 1.15966i 0.984548 + 0.175114i \(0.0560293\pi\)
0.175114 + 0.984548i \(0.443971\pi\)
\(402\) −0.202029 2.96438i −0.0100763 0.147850i
\(403\) 10.4701 + 15.6697i 0.521554 + 0.780561i
\(404\) −1.05594 + 0.364571i −0.0525349 + 0.0181381i
\(405\) 9.10904 21.3693i 0.452632 1.06185i
\(406\) −30.5260 39.5691i −1.51498 1.96378i
\(407\) 20.3812 + 8.44218i 1.01026 + 0.418463i
\(408\) 1.23877 + 2.92595i 0.0613281 + 0.144856i
\(409\) 4.35775 + 10.5205i 0.215477 + 0.520207i 0.994248 0.107101i \(-0.0341568\pi\)
−0.778771 + 0.627308i \(0.784157\pi\)
\(410\) −0.0988145 0.204300i −0.00488010 0.0100897i
\(411\) 5.52031 + 3.68855i 0.272297 + 0.181943i
\(412\) 6.51296 24.8217i 0.320871 1.22288i
\(413\) 36.2608 + 7.21272i 1.78428 + 0.354915i
\(414\) 1.28956 3.83160i 0.0633786 0.188313i
\(415\) 17.0007 24.8876i 0.834533 1.22168i
\(416\) −4.28002 + 16.8453i −0.209845 + 0.825908i
\(417\) −5.07457 −0.248503
\(418\) −12.9315 + 38.4226i −0.632501 + 1.87931i
\(419\) 7.41995 37.3026i 0.362488 1.82235i −0.181660 0.983361i \(-0.558147\pi\)
0.544148 0.838989i \(-0.316853\pi\)
\(420\) −32.5196 2.29644i −1.58679 0.112055i
\(421\) −28.0998 18.7757i −1.36950 0.915072i −0.369601 0.929190i \(-0.620506\pi\)
−0.999900 + 0.0141187i \(0.995506\pi\)
\(422\) 29.1920 + 16.7531i 1.42104 + 0.815526i
\(423\) −6.75233 + 2.79691i −0.328310 + 0.135990i
\(424\) 7.16812 0.0558532i 0.348115 0.00271247i
\(425\) 0.0608899 2.97134i 0.00295360 0.144131i
\(426\) −6.01499 + 4.64034i −0.291427 + 0.224825i
\(427\) 4.85038 + 24.3845i 0.234726 + 1.18005i
\(428\) −18.5131 9.01038i −0.894863 0.435533i
\(429\) 18.6982 12.4937i 0.902758 0.603203i
\(430\) −8.75031 5.14161i −0.421977 0.247951i
\(431\) 20.1912 + 20.1912i 0.972574 + 0.972574i 0.999634 0.0270593i \(-0.00861431\pi\)
−0.0270593 + 0.999634i \(0.508614\pi\)
\(432\) −17.4421 5.71940i −0.839181 0.275175i
\(433\) 20.0447 + 20.0447i 0.963289 + 0.963289i 0.999350 0.0360606i \(-0.0114809\pi\)
−0.0360606 + 0.999350i \(0.511481\pi\)
\(434\) 25.2123 + 21.9950i 1.21023 + 1.05579i
\(435\) 0.396655 38.7164i 0.0190181 1.85631i
\(436\) −0.836056 + 13.8584i −0.0400398 + 0.663698i
\(437\) 36.2881 7.21815i 1.73589 0.345291i
\(438\) −0.744782 + 5.77301i −0.0355871 + 0.275845i
\(439\) 25.9676 + 10.7561i 1.23937 + 0.513362i 0.903517 0.428553i \(-0.140976\pi\)
0.335850 + 0.941915i \(0.390976\pi\)
\(440\) −22.6517 + 9.31759i −1.07988 + 0.444199i
\(441\) 4.16215 1.72402i 0.198198 0.0820962i
\(442\) 2.49296 0.674932i 0.118578 0.0321033i
\(443\) −30.5945 20.4426i −1.45359 0.971256i −0.996652 0.0817552i \(-0.973947\pi\)
−0.456934 0.889500i \(-0.651053\pi\)
\(444\) 21.3327 2.92132i 1.01241 0.138640i
\(445\) −0.942610 + 0.923492i −0.0446840 + 0.0437777i
\(446\) −7.84068 15.7958i −0.371267 0.747952i
\(447\) 37.6876i 1.78256i
\(448\) 0.480836 + 30.8530i 0.0227173 + 1.45767i
\(449\) −1.16707 −0.0550774 −0.0275387 0.999621i \(-0.508767\pi\)
−0.0275387 + 0.999621i \(0.508767\pi\)
\(450\) −2.99230 2.72041i −0.141058 0.128241i
\(451\) 0.272586 + 0.0542208i 0.0128356 + 0.00255316i
\(452\) −7.60042 + 1.04081i −0.357494 + 0.0489554i
\(453\) 11.7559 + 7.85505i 0.552341 + 0.369062i
\(454\) 0.904828 + 3.34212i 0.0424657 + 0.156853i
\(455\) −5.43572 + 25.9357i −0.254830 + 1.21588i
\(456\) 8.02164 + 38.7472i 0.375648 + 1.81450i
\(457\) −5.17737 + 12.4993i −0.242187 + 0.584692i −0.997500 0.0706733i \(-0.977485\pi\)
0.755312 + 0.655365i \(0.227485\pi\)
\(458\) −2.84480 + 22.0508i −0.132929 + 1.03037i
\(459\) 0.532137 + 2.67523i 0.0248380 + 0.124869i
\(460\) 17.6654 + 13.6974i 0.823651 + 0.638644i
\(461\) −16.8675 25.2440i −0.785598 1.17573i −0.980809 0.194970i \(-0.937539\pi\)
0.195211 0.980761i \(-0.437461\pi\)
\(462\) 26.2461 30.0852i 1.22108 1.39969i
\(463\) 14.2760 + 14.2760i 0.663463 + 0.663463i 0.956195 0.292732i \(-0.0945642\pi\)
−0.292732 + 0.956195i \(0.594564\pi\)
\(464\) −36.5420 + 2.77663i −1.69642 + 0.128902i
\(465\) 4.79633 + 25.4740i 0.222424 + 1.18133i
\(466\) 0.622514 + 9.13416i 0.0288374 + 0.423132i
\(467\) −10.4413 15.6265i −0.483166 0.723109i 0.507163 0.861850i \(-0.330694\pi\)
−0.990329 + 0.138742i \(0.955694\pi\)
\(468\) 1.53799 3.16000i 0.0710934 0.146071i
\(469\) −4.20540 + 0.836507i −0.194188 + 0.0386263i
\(470\) −2.33458 40.3440i −0.107686 1.86093i
\(471\) 12.6592 30.5620i 0.583306 1.40822i
\(472\) 19.0206 19.3193i 0.875492 0.889243i
\(473\) 11.4831 4.75644i 0.527992 0.218701i
\(474\) 12.1176 21.1147i 0.556578 0.969831i
\(475\) 7.96263 36.1440i 0.365350 1.65840i
\(476\) 3.95898 2.31322i 0.181460 0.106026i
\(477\) −1.42161 0.282776i −0.0650911 0.0129474i
\(478\) 0.196369 0.583459i 0.00898171 0.0266868i
\(479\) 13.9055i 0.635359i −0.948198 0.317679i \(-0.897096\pi\)
0.948198 0.317679i \(-0.102904\pi\)
\(480\) −14.5011 + 19.0059i −0.661883 + 0.867497i
\(481\) 17.5020i 0.798022i
\(482\) 40.8180 + 13.7377i 1.85921 + 0.625736i
\(483\) −35.7369 7.10851i −1.62609 0.323449i
\(484\) 2.02931 7.73397i 0.0922415 0.351544i
\(485\) −9.84447 24.4728i −0.447014 1.11125i
\(486\) 7.19657 + 4.13006i 0.326443 + 0.187343i
\(487\) 9.13486 3.78378i 0.413940 0.171460i −0.165987 0.986128i \(-0.553081\pi\)
0.579927 + 0.814668i \(0.303081\pi\)
\(488\) 16.8977 + 6.84548i 0.764922 + 0.309881i
\(489\) 2.82417 6.81815i 0.127713 0.308327i
\(490\) 1.43904 + 24.8681i 0.0650091 + 1.12343i
\(491\) −28.4073 + 5.65056i −1.28200 + 0.255006i −0.788660 0.614829i \(-0.789225\pi\)
−0.493342 + 0.869835i \(0.664225\pi\)
\(492\) 0.256414 0.0885288i 0.0115600 0.00399119i
\(493\) 3.02548 + 4.52795i 0.136261 + 0.203929i
\(494\) 32.0888 2.18693i 1.44374 0.0983946i
\(495\) 4.86708 0.916392i 0.218759 0.0411888i
\(496\) 23.6317 6.59597i 1.06109 0.296168i
\(497\) 7.75203 + 7.75203i 0.347726 + 0.347726i
\(498\) 27.1478 + 23.6836i 1.21652 + 1.06129i
\(499\) 14.6373 + 21.9063i 0.655258 + 0.980662i 0.999132 + 0.0416469i \(0.0132604\pi\)
−0.343875 + 0.939016i \(0.611740\pi\)
\(500\) 19.6441 10.6822i 0.878512 0.477721i
\(501\) −1.60901 8.08906i −0.0718855 0.361393i
\(502\) 0.444521 + 0.0573482i 0.0198400 + 0.00255958i
\(503\) −10.5685 + 25.5146i −0.471226 + 1.13764i 0.492396 + 0.870372i \(0.336121\pi\)
−0.963622 + 0.267269i \(0.913879\pi\)
\(504\) 1.16952 6.12875i 0.0520944 0.272996i
\(505\) −0.256196 + 1.22240i −0.0114006 + 0.0543961i
\(506\) −26.4242 + 7.15396i −1.17470 + 0.318032i
\(507\) 5.59421 + 3.73793i 0.248447 + 0.166007i
\(508\) 6.33845 + 4.81156i 0.281223 + 0.213478i
\(509\) −17.7085 3.52244i −0.784915 0.156129i −0.213667 0.976907i \(-0.568541\pi\)
−0.571248 + 0.820777i \(0.693541\pi\)
\(510\) 3.51838 + 0.490605i 0.155796 + 0.0217243i
\(511\) 8.40003 0.371595
\(512\) 19.1027 + 12.1279i 0.844228 + 0.535984i
\(513\) 33.9681i 1.49973i
\(514\) −19.5193 + 9.68896i −0.860959 + 0.427362i
\(515\) −20.0787 20.4943i −0.884772 0.903089i
\(516\) 7.33498 9.66265i 0.322905 0.425375i
\(517\) 41.1497 + 27.4953i 1.80976 + 1.20924i
\(518\) −8.12005 29.9926i −0.356775 1.31780i
\(519\) −12.4321 + 5.14954i −0.545708 + 0.226040i
\(520\) 13.7068 + 13.7742i 0.601081 + 0.604037i
\(521\) 2.87195 + 1.18960i 0.125823 + 0.0521174i 0.444706 0.895676i \(-0.353308\pi\)
−0.318884 + 0.947794i \(0.603308\pi\)
\(522\) 7.34930 + 0.948142i 0.321670 + 0.0414991i
\(523\) 18.1104 3.60238i 0.791912 0.157521i 0.217471 0.976067i \(-0.430219\pi\)
0.574441 + 0.818546i \(0.305219\pi\)
\(524\) −12.8048 + 11.3478i −0.559382 + 0.495729i
\(525\) −20.8664 + 29.8846i −0.910685 + 1.30427i
\(526\) −2.86550 + 3.28465i −0.124942 + 0.143217i
\(527\) −2.57800 2.57800i −0.112300 0.112300i
\(528\) −7.87081 28.1991i −0.342533 1.22721i
\(529\) 1.40302 + 1.40302i 0.0610008 + 0.0610008i
\(530\) 4.06018 6.90986i 0.176363 0.300145i
\(531\) −4.55810 + 3.04562i −0.197805 + 0.132169i
\(532\) 53.9750 18.6353i 2.34011 0.807942i
\(533\) −0.0430168 0.216260i −0.00186327 0.00936727i
\(534\) −0.963468 1.24889i −0.0416933 0.0540446i
\(535\) −19.2701 + 12.5922i −0.833118 + 0.544410i
\(536\) −1.18059 + 2.91421i −0.0509936 + 0.125875i
\(537\) −15.6315 + 6.47479i −0.674551 + 0.279408i
\(538\) 14.0593 24.4981i 0.606139 1.05619i
\(539\) −25.3647 16.9482i −1.09254 0.730010i
\(540\) −15.4977 + 13.4533i −0.666916 + 0.578938i
\(541\) −8.75795 + 44.0292i −0.376534 + 1.89296i 0.0688561 + 0.997627i \(0.478065\pi\)
−0.445390 + 0.895337i \(0.646935\pi\)
\(542\) −24.2001 8.14480i −1.03948 0.349849i
\(543\) −5.23476 −0.224645
\(544\) 0.176322 3.35777i 0.00755976 0.143963i
\(545\) 12.8173 + 8.75552i 0.549034 + 0.375045i
\(546\) −30.0201 10.1036i −1.28474 0.432393i
\(547\) −1.90141 0.378215i −0.0812986 0.0161713i 0.154273 0.988028i \(-0.450696\pi\)
−0.235572 + 0.971857i \(0.575696\pi\)
\(548\) −3.54446 6.06620i −0.151412 0.259135i
\(549\) −3.06521 2.04811i −0.130820 0.0874111i
\(550\) −4.05953 + 27.0816i −0.173099 + 1.15476i
\(551\) 25.9525 + 62.6549i 1.10561 + 2.66919i
\(552\) −18.7457 + 19.0402i −0.797872 + 0.810404i
\(553\) −32.4575 13.4443i −1.38023 0.571711i
\(554\) −13.5511 + 10.4541i −0.575730 + 0.444153i
\(555\) 9.43981 22.1453i 0.400698 0.940015i
\(556\) 4.82853 + 2.35006i 0.204775 + 0.0996649i
\(557\) 1.03177 + 1.54415i 0.0437173 + 0.0654276i 0.852684 0.522426i \(-0.174973\pi\)
−0.808967 + 0.587854i \(0.799973\pi\)
\(558\) −4.94957 + 0.337325i −0.209532 + 0.0142801i
\(559\) −6.97268 6.97268i −0.294913 0.294913i
\(560\) 29.8794 + 17.2451i 1.26263 + 0.728740i
\(561\) −3.07627 + 3.07627i −0.129880 + 0.129880i
\(562\) −10.6076 + 12.1592i −0.447455 + 0.512905i
\(563\) −36.0717 + 24.1023i −1.52024 + 1.01579i −0.534952 + 0.844882i \(0.679670\pi\)
−0.985287 + 0.170909i \(0.945330\pi\)
\(564\) 48.2166 + 2.90883i 2.03029 + 0.122484i
\(565\) −3.36322 + 7.88992i −0.141492 + 0.331932i
\(566\) 4.63657 + 0.598169i 0.194890 + 0.0251429i
\(567\) 15.3341 37.0199i 0.643973 1.55469i
\(568\) 7.87232 1.62977i 0.330315 0.0683835i
\(569\) 11.1868 4.63373i 0.468975 0.194256i −0.135665 0.990755i \(-0.543317\pi\)
0.604640 + 0.796499i \(0.293317\pi\)
\(570\) 41.7816 + 14.5402i 1.75004 + 0.609022i
\(571\) 14.8360 22.2036i 0.620867 0.929193i −0.379126 0.925345i \(-0.623775\pi\)
0.999993 0.00384781i \(-0.00122480\pi\)
\(572\) −23.5775 + 3.22872i −0.985826 + 0.135000i
\(573\) −2.94053 + 14.7831i −0.122843 + 0.617571i
\(574\) −0.174051 0.350641i −0.00726473 0.0146355i
\(575\) 23.2808 9.08898i 0.970876 0.379037i
\(576\) −3.28528 3.18445i −0.136887 0.132685i
\(577\) 25.9524i 1.08041i −0.841533 0.540205i \(-0.818347\pi\)
0.841533 0.540205i \(-0.181653\pi\)
\(578\) 21.0871 10.4672i 0.877106 0.435376i
\(579\) −4.64526 0.924001i −0.193051 0.0384002i
\(580\) −18.3072 + 36.6555i −0.760166 + 1.52204i
\(581\) 28.8839 43.2279i 1.19831 1.79339i
\(582\) 30.4350 8.23981i 1.26157 0.341551i
\(583\) 3.75602 + 9.06784i 0.155558 + 0.375551i
\(584\) 3.38218 5.14819i 0.139956 0.213033i
\(585\) −2.14937 3.28922i −0.0888656 0.135992i
\(586\) 39.7693 + 5.13069i 1.64286 + 0.211947i
\(587\) −4.83195 + 0.961135i −0.199436 + 0.0396703i −0.293797 0.955868i \(-0.594919\pi\)
0.0943614 + 0.995538i \(0.469919\pi\)
\(588\) −29.7208 1.79301i −1.22567 0.0739425i
\(589\) −25.2245 37.7511i −1.03936 1.55551i
\(590\) −7.62099 29.3375i −0.313751 1.20781i
\(591\) −1.35562 + 1.35562i −0.0557627 + 0.0557627i
\(592\) −21.6513 7.09963i −0.889861 0.291793i
\(593\) −21.7343 + 21.7343i −0.892522 + 0.892522i −0.994760 0.102238i \(-0.967400\pi\)
0.102238 + 0.994760i \(0.467400\pi\)
\(594\) −1.70891 25.0748i −0.0701173 1.02883i
\(595\) 0.0525186 5.12620i 0.00215305 0.210154i
\(596\) −17.4533 + 35.8603i −0.714917 + 1.46889i
\(597\) −1.41876 7.13259i −0.0580660 0.291917i
\(598\) 13.2663 + 17.1963i 0.542497 + 0.703207i
\(599\) 0.576308 1.39133i 0.0235473 0.0568482i −0.911669 0.410926i \(-0.865205\pi\)
0.935216 + 0.354078i \(0.115205\pi\)
\(600\) 9.91398 + 24.8213i 0.404736 + 1.01333i
\(601\) 5.86822 + 14.1671i 0.239369 + 0.577889i 0.997218 0.0745416i \(-0.0237494\pi\)
−0.757848 + 0.652431i \(0.773749\pi\)
\(602\) −15.1839 8.71390i −0.618848 0.355152i
\(603\) 0.353221 0.528633i 0.0143843 0.0215276i
\(604\) −7.54820 12.9184i −0.307132 0.525643i
\(605\) −6.25612 6.38564i −0.254348 0.259613i
\(606\) −1.41491 0.476202i −0.0574767 0.0193444i
\(607\) −21.6509 −0.878783 −0.439392 0.898296i \(-0.644806\pi\)
−0.439392 + 0.898296i \(0.644806\pi\)
\(608\) 10.3113 40.5834i 0.418180 1.64587i
\(609\) 66.7871i 2.70635i
\(610\) 16.2658 12.2847i 0.658583 0.497393i
\(611\) 7.65999 38.5094i 0.309890 1.55792i
\(612\) −0.172554 + 0.657626i −0.00697509 + 0.0265830i
\(613\) −8.49102 + 12.7077i −0.342949 + 0.513259i −0.962349 0.271816i \(-0.912376\pi\)
0.619400 + 0.785075i \(0.287376\pi\)
\(614\) −3.75996 2.15781i −0.151740 0.0870823i
\(615\) 0.0622122 0.296836i 0.00250864 0.0119696i
\(616\) −38.9061 + 16.4718i −1.56757 + 0.663666i
\(617\) −33.0856 13.7045i −1.33198 0.551723i −0.400759 0.916184i \(-0.631253\pi\)
−0.931219 + 0.364460i \(0.881253\pi\)
\(618\) 27.1534 20.9478i 1.09227 0.842645i
\(619\) −43.1981 + 8.59265i −1.73628 + 0.345368i −0.958917 0.283685i \(-0.908443\pi\)
−0.777363 + 0.629053i \(0.783443\pi\)
\(620\) 7.23337 26.4600i 0.290499 1.06266i
\(621\) −19.0719 + 12.7434i −0.765327 + 0.511375i
\(622\) 1.90951 + 28.0183i 0.0765645 + 1.12343i
\(623\) −1.60954 + 1.60954i −0.0644850 + 0.0644850i
\(624\) −18.2795 + 14.3305i −0.731768 + 0.573681i
\(625\) 1.02419 24.9790i 0.0409676 0.999160i
\(626\) −1.09474 + 1.25487i −0.0437544 + 0.0501546i
\(627\) −45.0474 + 30.0997i −1.79902 + 1.20207i
\(628\) −26.1989 + 23.2177i −1.04545 + 0.926486i
\(629\) 0.660555 + 3.32083i 0.0263380 + 0.132410i
\(630\) −5.20935 4.63943i −0.207545 0.184839i
\(631\) −15.7000 6.50316i −0.625007 0.258887i 0.0476227 0.998865i \(-0.484835\pi\)
−0.672630 + 0.739979i \(0.734835\pi\)
\(632\) −21.3084 + 14.4792i −0.847602 + 0.575953i
\(633\) 17.2131 + 41.5561i 0.684159 + 1.65171i
\(634\) −12.1085 + 3.27819i −0.480890 + 0.130194i
\(635\) 8.25432 3.32039i 0.327563 0.131766i
\(636\) 7.63031 + 5.79222i 0.302562 + 0.229677i
\(637\) −4.72163 + 23.7373i −0.187078 + 0.940505i
\(638\) −22.3099 44.9454i −0.883258 1.77940i
\(639\) −1.62556 −0.0643063
\(640\) 22.5998 11.3688i 0.893335 0.449392i
\(641\) 27.0247 1.06741 0.533705 0.845670i \(-0.320799\pi\)
0.533705 + 0.845670i \(0.320799\pi\)
\(642\) −12.2339 24.6462i −0.482832 0.972709i
\(643\) 9.58999 48.2121i 0.378192 1.90130i −0.0521572 0.998639i \(-0.516610\pi\)
0.430349 0.902662i \(-0.358390\pi\)
\(644\) 30.7122 + 23.3138i 1.21023 + 0.918693i
\(645\) −5.06178 12.5833i −0.199307 0.495467i
\(646\) −6.00601 + 1.62604i −0.236303 + 0.0639755i
\(647\) −14.7307 35.5630i −0.579122 1.39812i −0.893602 0.448860i \(-0.851830\pi\)
0.314480 0.949264i \(-0.398170\pi\)
\(648\) −16.5145 24.3036i −0.648751 0.954736i
\(649\) 34.2953 + 14.2056i 1.34621 + 0.557617i
\(650\) 21.0826 5.24665i 0.826928 0.205791i
\(651\) 8.72311 + 43.8541i 0.341886 + 1.71878i
\(652\) −5.84476 + 5.17968i −0.228899 + 0.202852i
\(653\) −14.5379 + 9.71392i −0.568913 + 0.380135i −0.806503 0.591230i \(-0.798642\pi\)
0.237590 + 0.971365i \(0.423642\pi\)
\(654\) −12.1972 + 13.9814i −0.476950 + 0.546715i
\(655\) 3.53949 + 18.7987i 0.138299 + 0.734526i
\(656\) −0.284980 0.0345103i −0.0111266 0.00134740i
\(657\) −0.880723 + 0.880723i −0.0343603 + 0.0343603i
\(658\) −4.73973 69.5462i −0.184774 2.71119i
\(659\) 16.4539 10.9942i 0.640955 0.428272i −0.192167 0.981362i \(-0.561551\pi\)
0.833121 + 0.553090i \(0.186551\pi\)
\(660\) −31.5741 8.63139i −1.22902 0.335977i
\(661\) 24.6341 4.90004i 0.958157 0.190589i 0.308846 0.951112i \(-0.400057\pi\)
0.649311 + 0.760523i \(0.275057\pi\)
\(662\) −1.43389 + 1.10620i −0.0557299 + 0.0429935i
\(663\) 3.18880 + 1.32084i 0.123843 + 0.0512973i
\(664\) −14.8636 35.1076i −0.576818 1.36244i
\(665\) 13.0956 62.4838i 0.507827 2.42302i
\(666\) 3.99603 + 2.29329i 0.154843 + 0.0888631i
\(667\) −25.4421 + 38.0768i −0.985123 + 1.47434i
\(668\) −2.21509 + 8.44200i −0.0857045 + 0.326631i
\(669\) 4.59769 23.1142i 0.177757 0.893645i
\(670\) 2.11864 + 2.80523i 0.0818504 + 0.108376i
\(671\) 24.9629i 0.963683i
\(672\) −24.6765 + 33.0386i −0.951915 + 1.27449i
\(673\) −2.41217 −0.0929823 −0.0464911 0.998919i \(-0.514804\pi\)
−0.0464911 + 0.998919i \(0.514804\pi\)
\(674\) 0.880128 + 0.296216i 0.0339013 + 0.0114098i
\(675\) 4.01430 + 22.5909i 0.154511 + 0.869524i
\(676\) −3.59191 6.14740i −0.138150 0.236439i
\(677\) 5.09054 7.61853i 0.195645 0.292804i −0.720657 0.693292i \(-0.756159\pi\)
0.916302 + 0.400488i \(0.131159\pi\)
\(678\) −8.89176 5.10291i −0.341486 0.195976i
\(679\) −17.4127 42.0380i −0.668239 1.61327i
\(680\) −3.12059 2.09620i −0.119669 0.0803856i
\(681\) −1.77075 + 4.27497i −0.0678553 + 0.163817i
\(682\) 20.5196 + 26.5983i 0.785735 + 1.01850i
\(683\) −5.96787 30.0025i −0.228354 1.14801i −0.909448 0.415818i \(-0.863495\pi\)
0.681094 0.732196i \(-0.261505\pi\)
\(684\) −3.70529 + 7.61302i −0.141675 + 0.291091i
\(685\) −7.85468 0.0804723i −0.300112 0.00307469i
\(686\) 0.325329 + 4.77355i 0.0124211 + 0.182255i
\(687\) −21.0102 + 21.0102i −0.801587 + 0.801587i
\(688\) −11.4542 + 5.79728i −0.436686 + 0.221019i
\(689\) 5.50612 5.50612i 0.209767 0.209767i
\(690\) 7.51088 + 28.9137i 0.285934 + 1.10072i
\(691\) −10.6887 15.9967i −0.406615 0.608543i 0.570488 0.821306i \(-0.306754\pi\)
−0.977104 + 0.212763i \(0.931754\pi\)
\(692\) 14.2141 + 0.857513i 0.540339 + 0.0325978i
\(693\) 8.37881 1.66665i 0.318285 0.0633108i
\(694\) 41.4481 + 5.34726i 1.57335 + 0.202979i
\(695\) 5.02597 3.28427i 0.190646 0.124580i
\(696\) −40.9323 26.8912i −1.55154 1.01931i
\(697\) 0.0163241 + 0.0394098i 0.000618318 + 0.00149275i
\(698\) −0.858438 + 0.232409i −0.0324923 + 0.00879681i
\(699\) −6.79751 + 10.1732i −0.257105 + 0.384785i
\(700\) 33.6944 18.7723i 1.27353 0.709527i
\(701\) 26.5589 + 5.28288i 1.00311 + 0.199532i 0.669208 0.743075i \(-0.266633\pi\)
0.333906 + 0.942607i \(0.391633\pi\)
\(702\) −17.8603 + 8.86548i −0.674095 + 0.334606i
\(703\) 42.1655i 1.59030i
\(704\) −5.56999 + 30.4769i −0.209927 + 1.14864i
\(705\) 30.4625 44.5945i 1.14728 1.67952i
\(706\) 12.9518 + 26.0926i 0.487448 + 0.982009i
\(707\) −0.420299 + 2.11299i −0.0158070 + 0.0794671i
\(708\) 35.8963 4.91567i 1.34907 0.184742i
\(709\) −18.8685 + 28.2387i −0.708621 + 1.06053i 0.286129 + 0.958191i \(0.407631\pi\)
−0.994750 + 0.102335i \(0.967369\pi\)
\(710\) 2.95415 8.48881i 0.110867 0.318579i
\(711\) 4.81269 1.99348i 0.180490 0.0747615i
\(712\) 0.338387 + 1.63452i 0.0126816 + 0.0612562i
\(713\) 11.7327 28.3252i 0.439393 1.06079i
\(714\) 6.07735 + 0.784046i 0.227439 + 0.0293422i
\(715\) −10.4332 + 24.4756i −0.390178 + 0.915335i
\(716\) 17.8721 + 1.07820i 0.667913 + 0.0402941i
\(717\) 0.684058 0.457073i 0.0255466 0.0170697i
\(718\) 8.83856 10.1314i 0.329852 0.378101i
\(719\) −16.8343 + 16.8343i −0.627814 + 0.627814i −0.947518 0.319704i \(-0.896417\pi\)
0.319704 + 0.947518i \(0.396417\pi\)
\(720\) −4.94089 + 1.32467i −0.184136 + 0.0493676i
\(721\) −34.9949 34.9949i −1.30328 1.30328i
\(722\) −50.5000 + 3.44169i −1.87942 + 0.128087i
\(723\) 31.9763 + 47.8558i 1.18921 + 1.77978i
\(724\) 4.98095 + 2.42425i 0.185116 + 0.0900965i
\(725\) 24.6645 + 38.6023i 0.916016 + 1.43365i
\(726\) 8.46048 6.52694i 0.313998 0.242237i
\(727\) −9.11976 3.77753i −0.338233 0.140101i 0.207101 0.978320i \(-0.433597\pi\)
−0.545334 + 0.838219i \(0.683597\pi\)
\(728\) 23.8855 + 23.5162i 0.885257 + 0.871568i
\(729\) −7.68324 18.5490i −0.284564 0.686999i
\(730\) −2.99865 6.19974i −0.110985 0.229463i
\(731\) 1.58616 + 1.05984i 0.0586662 + 0.0391995i
\(732\) 12.2918 + 21.0369i 0.454318 + 0.777545i
\(733\) −10.6275 2.11394i −0.392536 0.0780803i −0.00512384 0.999987i \(-0.501631\pi\)
−0.387412 + 0.921907i \(0.626631\pi\)
\(734\) −18.2520 6.14289i −0.673693 0.226738i
\(735\) −18.7771 + 27.4881i −0.692605 + 1.01391i
\(736\) 26.6545 9.43573i 0.982497 0.347806i
\(737\) −4.30516 −0.158582
\(738\) 0.0550127 + 0.0185151i 0.00202505 + 0.000681550i
\(739\) −7.83753 + 39.4019i −0.288308 + 1.44942i 0.516704 + 0.856164i \(0.327159\pi\)
−0.805012 + 0.593258i \(0.797841\pi\)
\(740\) −19.2377 + 16.6999i −0.707193 + 0.613901i
\(741\) 35.7390 + 23.8800i 1.31290 + 0.877255i
\(742\) 6.88111 11.9902i 0.252614 0.440176i
\(743\) 0.518483 0.214763i 0.0190213 0.00787888i −0.373153 0.927770i \(-0.621723\pi\)
0.392174 + 0.919891i \(0.371723\pi\)
\(744\) 30.3894 + 12.3112i 1.11413 + 0.451350i
\(745\) 24.3915 + 37.3267i 0.893635 + 1.36754i
\(746\) 22.9331 + 29.7268i 0.839639 + 1.08837i
\(747\) 1.50393 + 7.56076i 0.0550258 + 0.276634i
\(748\) 4.35175 1.50248i 0.159116 0.0549359i
\(749\) −33.0155 + 22.0603i −1.20636 + 0.806065i
\(750\) 29.5056 + 4.73245i 1.07739 + 0.172805i
\(751\) −16.3562 16.3562i −0.596845 0.596845i 0.342626 0.939472i \(-0.388683\pi\)
−0.939472 + 0.342626i \(0.888683\pi\)
\(752\) −44.5317 25.0972i −1.62390 0.915200i
\(753\) 0.423543 + 0.423543i 0.0154348 + 0.0154348i
\(754\) −26.1703 + 29.9983i −0.953066 + 1.09247i
\(755\) −16.7271 0.171372i −0.608762 0.00623685i
\(756\) −26.4936 + 23.4788i −0.963562 + 0.853916i
\(757\) −46.8908 + 9.32716i −1.70427 + 0.339001i −0.948728 0.316094i \(-0.897629\pi\)
−0.755546 + 0.655095i \(0.772629\pi\)
\(758\) −17.8632 2.30455i −0.648821 0.0837052i
\(759\) −33.7998 14.0003i −1.22685 0.508179i
\(760\) −33.0221 33.1845i −1.19784 1.20373i
\(761\) 12.5763 5.20929i 0.455892 0.188837i −0.142907 0.989736i \(-0.545645\pi\)
0.598799 + 0.800900i \(0.295645\pi\)
\(762\) 2.77917 + 10.2653i 0.100679 + 0.371872i
\(763\) 22.2627 + 14.8755i 0.805965 + 0.538529i
\(764\) 9.64409 12.7045i 0.348911 0.459633i
\(765\) 0.531963 + 0.542976i 0.0192332 + 0.0196314i
\(766\) −3.11050 + 1.54399i −0.112387 + 0.0557865i
\(767\) 29.4504i 1.06339i
\(768\) 10.3129 + 28.4263i 0.372135 + 1.02575i
\(769\) −14.3036 −0.515802 −0.257901 0.966171i \(-0.583031\pi\)
−0.257901 + 0.966171i \(0.583031\pi\)
\(770\) −6.52353 + 46.7836i −0.235092 + 1.68596i
\(771\) −28.5628 5.68150i −1.02867 0.204614i
\(772\) 3.99213 + 3.03045i 0.143680 + 0.109068i
\(773\) 13.3379 + 8.91213i 0.479732 + 0.320547i 0.771816 0.635846i \(-0.219349\pi\)
−0.292084 + 0.956393i \(0.594349\pi\)
\(774\) 2.50562 0.678359i 0.0900628 0.0243831i
\(775\) −21.2372 22.1258i −0.762862 0.794782i
\(776\) −32.7752 6.25432i −1.17656 0.224517i
\(777\) 15.8910 38.3642i 0.570085 1.37631i
\(778\) 40.6754 + 5.24758i 1.45828 + 0.188135i
\(779\) 0.103635 + 0.521011i 0.00371313 + 0.0186671i
\(780\) 3.25955 + 25.7635i 0.116711 + 0.922482i
\(781\) 6.11539 + 9.15233i 0.218826 + 0.327496i
\(782\) −3.16616 2.76213i −0.113222 0.0987737i
\(783\) −29.7291 29.7291i −1.06243 1.06243i
\(784\) 27.4494 + 15.4700i 0.980337 + 0.552499i
\(785\) 7.24184 + 38.4624i 0.258472 + 1.37278i
\(786\) −22.8122 + 1.55470i −0.813684 + 0.0554545i
\(787\) 3.97881 + 5.95470i 0.141829 + 0.212262i 0.895583 0.444895i \(-0.146759\pi\)
−0.753754 + 0.657157i \(0.771759\pi\)
\(788\) 1.91769 0.662096i 0.0683147 0.0235862i
\(789\) −5.71329 + 1.13644i −0.203399 + 0.0404585i
\(790\) 1.66396 + 28.7550i 0.0592010 + 1.02306i
\(791\) −5.66163 + 13.6684i −0.201304 + 0.485992i
\(792\) 2.35219 5.80624i 0.0835815 0.206316i
\(793\) 18.2971 7.57892i 0.649750 0.269135i
\(794\) −41.8866 24.0384i −1.48650 0.853091i
\(795\) 9.93666 3.99714i 0.352417 0.141764i
\(796\) −1.95317 + 7.44380i −0.0692284 + 0.263838i
\(797\) 14.3679 + 2.85796i 0.508938 + 0.101234i 0.442878 0.896582i \(-0.353957\pi\)
0.0660594 + 0.997816i \(0.478957\pi\)
\(798\) 72.3240 + 24.3414i 2.56024 + 0.861675i
\(799\) 7.59588i 0.268723i
\(800\) 2.06160 28.2090i 0.0728885 0.997340i
\(801\) 0.337514i 0.0119255i
\(802\) 14.8148 44.0183i 0.523129 1.55434i
\(803\) 8.27199 + 1.64540i 0.291912 + 0.0580649i
\(804\) −3.62806 + 2.11987i −0.127952 + 0.0747620i
\(805\) 39.9953 16.0886i 1.40965 0.567047i
\(806\) 13.2660 23.1157i 0.467273 0.814217i
\(807\) 34.8742 14.4454i 1.22763 0.508501i
\(808\) 1.12577 + 1.10836i 0.0396045 + 0.0389921i
\(809\) −12.3105 + 29.7201i −0.432813 + 1.04490i 0.545564 + 0.838069i \(0.316316\pi\)
−0.978376 + 0.206833i \(0.933684\pi\)
\(810\) −32.7970 + 1.89786i −1.15237 + 0.0666838i
\(811\) 29.4320 5.85439i 1.03350 0.205575i 0.350933 0.936401i \(-0.385865\pi\)
0.682565 + 0.730825i \(0.260865\pi\)
\(812\) −30.9295 + 63.5489i −1.08541 + 2.23013i
\(813\) −18.9580 28.3727i −0.664887 0.995073i
\(814\) −2.12131 31.1260i −0.0743519 1.09097i
\(815\) 1.61560 + 8.58066i 0.0565919 + 0.300567i
\(816\) 2.92751 3.40898i 0.102483 0.119338i
\(817\) 16.7985 + 16.7985i 0.587704 + 0.587704i
\(818\) 10.5867 12.1353i 0.370156 0.424300i
\(819\) −3.76548 5.63543i −0.131576 0.196918i
\(820\) −0.196662 + 0.253633i −0.00686774 + 0.00885723i
\(821\) 8.13996 + 40.9224i 0.284087 + 1.42820i 0.814354 + 0.580369i \(0.197092\pi\)
−0.530267 + 0.847831i \(0.677908\pi\)
\(822\) 1.20136 9.31210i 0.0419024 0.324797i
\(823\) 5.58539 13.4843i 0.194695 0.470034i −0.796140 0.605112i \(-0.793128\pi\)
0.990835 + 0.135078i \(0.0431284\pi\)
\(824\) −35.5379 + 7.35725i −1.23802 + 0.256302i
\(825\) −26.4022 + 25.3418i −0.919205 + 0.882288i
\(826\) −13.6635 50.4683i −0.475415 1.75602i
\(827\) 9.20150 + 6.14825i 0.319968 + 0.213796i 0.705173 0.709035i \(-0.250869\pi\)
−0.385205 + 0.922831i \(0.625869\pi\)
\(828\) −5.66450 + 0.775701i −0.196855 + 0.0269575i
\(829\) 23.7466 + 4.72350i 0.824754 + 0.164054i 0.589385 0.807852i \(-0.299370\pi\)
0.235369 + 0.971906i \(0.424370\pi\)
\(830\) −42.2159 5.88661i −1.46534 0.204327i
\(831\) −22.8723 −0.793432
\(832\) 24.0298 5.17035i 0.833084 0.179250i
\(833\) 4.68212i 0.162226i
\(834\) 3.19080 + 6.42817i 0.110489 + 0.222589i
\(835\) 6.82886 + 6.97023i 0.236322 + 0.241215i
\(836\) 56.8026 7.77859i 1.96456 0.269028i
\(837\) 23.4038 + 15.6379i 0.808953 + 0.540525i
\(838\) −51.9182 + 14.0561i −1.79349 + 0.485559i
\(839\) 49.2843 20.4142i 1.70148 0.704778i 0.701515 0.712654i \(-0.252507\pi\)
0.999969 + 0.00787643i \(0.00250717\pi\)
\(840\) 17.5388 + 42.6379i 0.605145 + 1.47115i
\(841\) −50.7571 21.0243i −1.75024 0.724975i
\(842\) −6.11526 + 47.4010i −0.210746 + 1.63355i
\(843\) −21.1496 + 4.20693i −0.728433 + 0.144894i
\(844\) 2.86637 47.5127i 0.0986644 1.63546i
\(845\) −7.95982 0.0815495i −0.273826 0.00280539i
\(846\) 7.78871 + 6.79481i 0.267781 + 0.233610i
\(847\) −10.9037 10.9037i −0.374657 0.374657i
\(848\) −4.57794 9.04503i −0.157207 0.310607i
\(849\) 4.41776 + 4.41776i 0.151617 + 0.151617i
\(850\) −3.80220 + 1.79120i −0.130414 + 0.0614375i
\(851\) −23.6744 + 15.8187i −0.811547 + 0.542259i
\(852\) 9.66022 + 4.70167i 0.330954 + 0.161077i
\(853\) −8.15137 40.9797i −0.279098 1.40312i −0.824935 0.565228i \(-0.808788\pi\)
0.545837 0.837891i \(-0.316212\pi\)
\(854\) 27.8390 21.4767i 0.952631 0.734919i
\(855\) 5.17823 + 7.92433i 0.177092 + 0.271006i
\(856\) 0.226875 + 29.1168i 0.00775444 + 0.995192i
\(857\) 8.37905 3.47072i 0.286223 0.118557i −0.234953 0.972007i \(-0.575494\pi\)
0.521176 + 0.853449i \(0.325494\pi\)
\(858\) −27.5834 15.8299i −0.941683 0.540425i
\(859\) −11.4669 7.66196i −0.391247 0.261423i 0.344352 0.938841i \(-0.388099\pi\)
−0.735598 + 0.677418i \(0.763099\pi\)
\(860\) −1.01105 + 14.3173i −0.0344765 + 0.488217i
\(861\) 0.102061 0.513097i 0.00347824 0.0174863i
\(862\) 12.8811 38.2728i 0.438733 1.30358i
\(863\) 53.0195 1.80480 0.902402 0.430895i \(-0.141802\pi\)
0.902402 + 0.430895i \(0.141802\pi\)
\(864\) 3.72227 + 25.6908i 0.126634 + 0.874019i
\(865\) 8.98023 13.1463i 0.305337 0.446987i
\(866\) 12.7877 37.9953i 0.434544 1.29113i
\(867\) 30.8569 + 6.13783i 1.04796 + 0.208451i
\(868\) 12.0089 45.7675i 0.407609 1.55345i
\(869\) −29.3292 19.5972i −0.994926 0.664789i
\(870\) −49.2931 + 23.8418i −1.67119 + 0.808311i
\(871\) 1.30708 + 3.15556i 0.0442886 + 0.106922i
\(872\) 18.0807 7.65487i 0.612290 0.259226i
\(873\) 6.23327 + 2.58191i 0.210964 + 0.0873843i
\(874\) −31.9608 41.4289i −1.08109 1.40135i
\(875\) 1.32517 43.1032i 0.0447988 1.45715i
\(876\) 7.78121 2.68652i 0.262903 0.0907692i
\(877\) −7.00683 10.4865i −0.236604 0.354103i 0.694099 0.719880i \(-0.255803\pi\)
−0.930702 + 0.365777i \(0.880803\pi\)
\(878\) −2.70275 39.6575i −0.0912134 1.33838i
\(879\) 37.8925 + 37.8925i 1.27808 + 1.27808i
\(880\) 26.0460 + 22.8350i 0.878009 + 0.769769i
\(881\) 6.06110 6.06110i 0.204204 0.204204i −0.597595 0.801798i \(-0.703877\pi\)
0.801798 + 0.597595i \(0.203877\pi\)
\(882\) −4.80098 4.18833i −0.161657 0.141029i
\(883\) −17.9101 + 11.9671i −0.602723 + 0.402727i −0.819156 0.573571i \(-0.805558\pi\)
0.216433 + 0.976297i \(0.430558\pi\)
\(884\) −2.42250 2.73355i −0.0814774 0.0919393i
\(885\) 15.8843 37.2636i 0.533944 1.25260i
\(886\) −6.65816 + 51.6092i −0.223685 + 1.73384i
\(887\) 1.42542 3.44127i 0.0478609 0.115546i −0.898141 0.439708i \(-0.855082\pi\)
0.946002 + 0.324161i \(0.105082\pi\)
\(888\) −17.1142 25.1861i −0.574315 0.845192i
\(889\) 14.1788 5.87306i 0.475542 0.196976i
\(890\) 1.76252 + 0.613367i 0.0590799 + 0.0205601i
\(891\) 22.3519 33.4519i 0.748816 1.12068i
\(892\) −15.0791 + 19.8642i −0.504885 + 0.665104i
\(893\) −18.4543 + 92.7761i −0.617550 + 3.10463i
\(894\) −47.7404 + 23.6973i −1.59668 + 0.792557i
\(895\) 11.2913 16.5295i 0.377428 0.552522i
\(896\) 38.7804 20.0089i 1.29556 0.668451i
\(897\) 29.0249i 0.969113i
\(898\) 0.733833 + 1.47837i 0.0244883 + 0.0493340i
\(899\) 55.1165 + 10.9633i 1.83824 + 0.365648i
\(900\) −1.56455 + 5.50102i −0.0521517 + 0.183367i
\(901\) −0.836923 + 1.25254i −0.0278820 + 0.0417283i
\(902\) −0.102714 0.379389i −0.00342000 0.0126323i
\(903\) −8.95318 21.6149i −0.297943 0.719299i
\(904\) 6.09745 + 8.97332i 0.202798 + 0.298448i
\(905\) 5.18463 3.38795i 0.172343 0.112619i
\(906\) 2.55839 19.8308i 0.0849970 0.658834i
\(907\) −32.0989 + 6.38487i −1.06583 + 0.212006i −0.696692 0.717370i \(-0.745346\pi\)
−0.369134 + 0.929376i \(0.620346\pi\)
\(908\) 3.66466 3.24765i 0.121616 0.107777i
\(909\) −0.177474 0.265609i −0.00588645 0.00880970i
\(910\) 36.2717 9.42226i 1.20239 0.312345i
\(911\) −12.4716 + 12.4716i −0.413202 + 0.413202i −0.882852 0.469650i \(-0.844380\pi\)
0.469650 + 0.882852i \(0.344380\pi\)
\(912\) 44.0388 34.5249i 1.45827 1.14323i
\(913\) 36.9112 36.9112i 1.22158 1.22158i
\(914\) 19.0888 1.30095i 0.631401 0.0430315i
\(915\) 27.2391 + 0.279069i 0.900498 + 0.00922572i
\(916\) 29.7214 10.2615i 0.982022 0.339051i
\(917\) 6.43729 + 32.3625i 0.212578 + 1.06870i
\(918\) 3.05423 2.35622i 0.100805 0.0777668i
\(919\) 21.9083 52.8912i 0.722687 1.74472i 0.0571371 0.998366i \(-0.481803\pi\)
0.665550 0.746354i \(-0.268197\pi\)
\(920\) 6.24338 30.9901i 0.205838 1.02171i
\(921\) −2.21707 5.35247i −0.0730548 0.176370i
\(922\) −21.3716 + 37.2398i −0.703837 + 1.22643i
\(923\) 4.85173 7.26113i 0.159697 0.239003i
\(924\) −54.6132 14.3299i −1.79664 0.471420i
\(925\) 4.98306 + 28.0427i 0.163842 + 0.922037i
\(926\) 9.10750 27.0605i 0.299291 0.889265i
\(927\) 7.33827 0.241020
\(928\) 26.4942 + 44.5433i 0.869716 + 1.46221i
\(929\) 14.1078i 0.462863i 0.972851 + 0.231432i \(0.0743409\pi\)
−0.972851 + 0.231432i \(0.925659\pi\)
\(930\) 29.2530 22.0933i 0.959245 0.724467i
\(931\) 11.3753 57.1874i 0.372810 1.87424i
\(932\) 11.1792 6.53197i 0.366187 0.213962i
\(933\) −20.8508 + 31.2055i −0.682625 + 1.02162i
\(934\) −13.2294 + 23.0521i −0.432880 + 0.754288i
\(935\) 1.05584 5.03777i 0.0345297 0.164753i
\(936\) −4.96996 + 0.0387254i −0.162448 + 0.00126578i
\(937\) 1.34023 + 0.555141i 0.0437834 + 0.0181357i 0.404468 0.914552i \(-0.367457\pi\)
−0.360684 + 0.932688i \(0.617457\pi\)
\(938\) 3.70392 + 4.80118i 0.120937 + 0.156764i
\(939\) −2.18271 + 0.434167i −0.0712299 + 0.0141685i
\(940\) −49.6374 + 28.3249i −1.61899 + 0.923857i
\(941\) −14.6231 + 9.77083i −0.476699 + 0.318520i −0.770604 0.637315i \(-0.780045\pi\)
0.293905 + 0.955835i \(0.405045\pi\)
\(942\) −46.6741 + 3.18095i −1.52072 + 0.103641i
\(943\) −0.253649 + 0.253649i −0.00825994 + 0.00825994i
\(944\) −36.4323 11.9465i −1.18577 0.388825i
\(945\) 7.32330 + 38.8950i 0.238227 + 1.26526i
\(946\) −13.2455 11.5553i −0.430649 0.375695i
\(947\) 40.3870 26.9857i 1.31240 0.876918i 0.315009 0.949089i \(-0.397993\pi\)
0.997392 + 0.0721705i \(0.0229926\pi\)
\(948\) −34.3662 2.07326i −1.11616 0.0673362i
\(949\) −1.30540 6.56270i −0.0423751 0.213034i
\(950\) −50.7919 + 12.6402i −1.64791 + 0.410101i
\(951\) −15.4882 6.41543i −0.502240 0.208034i
\(952\) −5.41959 3.56049i −0.175650 0.115396i
\(953\) −0.763156 1.84242i −0.0247210 0.0596819i 0.911037 0.412325i \(-0.135283\pi\)
−0.935758 + 0.352643i \(0.885283\pi\)
\(954\) 0.535681 + 1.97862i 0.0173433 + 0.0640601i
\(955\) −6.65526 16.5446i −0.215359 0.535371i
\(956\) −0.862565 + 0.118120i −0.0278973 + 0.00382028i
\(957\) 13.0823 65.7691i 0.422890 2.12601i
\(958\) −17.6147 + 8.74354i −0.569104 + 0.282491i
\(959\) −13.5496 −0.437539
\(960\) 33.1936 + 6.41859i 1.07132 + 0.207159i
\(961\) −6.62275 −0.213637
\(962\) −22.1705 + 11.0049i −0.714805 + 0.354814i
\(963\) 1.14863 5.77457i 0.0370142 0.186083i
\(964\) −8.26354 60.3439i −0.266151 1.94355i
\(965\) 5.19879 2.09127i 0.167355 0.0673205i
\(966\) 13.4661 + 49.7391i 0.433265 + 1.60033i
\(967\) 8.27193 + 19.9702i 0.266007 + 0.642199i 0.999288 0.0377274i \(-0.0120119\pi\)
−0.733281 + 0.679926i \(0.762012\pi\)
\(968\) −11.0729 + 2.29238i −0.355898 + 0.0736797i
\(969\) −7.68240 3.18215i −0.246794 0.102226i
\(970\) −24.8107 + 27.8585i −0.796623 + 0.894482i
\(971\) −6.04438 30.3872i −0.193973 0.975170i −0.947986 0.318311i \(-0.896884\pi\)
0.754013 0.656859i \(-0.228116\pi\)
\(972\) 0.706632 11.7131i 0.0226652 0.375698i
\(973\) 8.61103 5.75370i 0.276057 0.184455i
\(974\) −10.5369 9.19232i −0.337625 0.294541i
\(975\) 26.5907 + 11.6581i 0.851585 + 0.373358i
\(976\) −1.95351 25.7093i −0.0625303 0.822934i
\(977\) −23.0500 + 23.0500i −0.737435 + 0.737435i −0.972081 0.234646i \(-0.924607\pi\)
0.234646 + 0.972081i \(0.424607\pi\)
\(978\) −10.4126 + 0.709644i −0.332959 + 0.0226919i
\(979\) −1.90029 + 1.26973i −0.0607335 + 0.0405808i
\(980\) 30.5966 17.4595i 0.977373 0.557725i
\(981\) −3.89386 + 0.774536i −0.124321 + 0.0247290i
\(982\) 25.0198 + 32.4317i 0.798414 + 1.03494i
\(983\) −12.1522 5.03362i −0.387596 0.160547i 0.180371 0.983599i \(-0.442270\pi\)
−0.567967 + 0.823051i \(0.692270\pi\)
\(984\) −0.273372 0.269144i −0.00871477 0.00858001i
\(985\) 0.465277 2.22000i 0.0148250 0.0707349i
\(986\) 3.83337 6.67960i 0.122079 0.212722i
\(987\) 51.7552 77.4572i 1.64739 2.46549i
\(988\) −22.9472 39.2731i −0.730047 1.24944i
\(989\) −3.12965 + 15.7338i −0.0995170 + 0.500306i
\(990\) −4.22117 5.58912i −0.134158 0.177634i
\(991\) 7.80359i 0.247889i 0.992289 + 0.123945i \(0.0395545\pi\)
−0.992289 + 0.123945i \(0.960445\pi\)
\(992\) −23.2146 25.7878i −0.737064 0.818763i
\(993\) −2.42022 −0.0768033
\(994\) 4.94547 14.6942i 0.156861 0.466070i
\(995\) 6.02140 + 6.14605i 0.190891 + 0.194843i
\(996\) 12.9308 49.2811i 0.409729 1.56153i
\(997\) −4.00668 + 5.99642i −0.126893 + 0.189908i −0.889476 0.456981i \(-0.848931\pi\)
0.762584 + 0.646890i \(0.223931\pi\)
\(998\) 18.5459 32.3161i 0.587061 1.02295i
\(999\) −10.0035 24.1507i −0.316498 0.764093i
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 320.2.bf.a.29.17 368
5.4 even 2 inner 320.2.bf.a.29.30 yes 368
64.53 even 16 inner 320.2.bf.a.309.30 yes 368
320.309 even 16 inner 320.2.bf.a.309.17 yes 368
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
320.2.bf.a.29.17 368 1.1 even 1 trivial
320.2.bf.a.29.30 yes 368 5.4 even 2 inner
320.2.bf.a.309.17 yes 368 320.309 even 16 inner
320.2.bf.a.309.30 yes 368 64.53 even 16 inner