Properties

Label 73.2.h.a.24.3
Level $73$
Weight $2$
Character 73.24
Analytic conductor $0.583$
Analytic rank $0$
Dimension $20$
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] = [73,2,Mod(3,73)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(73, base_ring=CyclotomicField(12))
 
chi = DirichletCharacter(H, H._module([1]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("73.3");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 73 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 73.h (of order \(12\), degree \(4\), 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: \(0.582907934755\)
Analytic rank: \(0\)
Dimension: \(20\)
Relative dimension: \(5\) over \(\Q(\zeta_{12})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{20} + \cdots)\)
comment: defining polynomial
 
gp: f.mod \\ as an extension of the character field
 
Defining polynomial: \( x^{20} + 28 x^{18} + 326 x^{16} + 2044 x^{14} + 7471 x^{12} + 16090 x^{10} + 19590 x^{8} + 12030 x^{6} + 2877 x^{4} + 230 x^{2} + 1 \) Copy content Toggle raw display
Coefficient ring: \(\Z[a_1, a_2, a_3]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 24.3
Root \(-0.405053i\) of defining polynomial
Character \(\chi\) \(=\) 73.24
Dual form 73.2.h.a.70.3

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.202527 - 0.350787i) q^{2} +0.0458652i q^{3} +(0.917966 - 1.58996i) q^{4} +(0.0766784 + 0.286168i) q^{5} +(0.0160889 - 0.00928892i) q^{6} +(0.00171153 - 0.00171153i) q^{7} -1.55376 q^{8} +2.99790 q^{9} +O(q^{10})\) \(q+(-0.202527 - 0.350787i) q^{2} +0.0458652i q^{3} +(0.917966 - 1.58996i) q^{4} +(0.0766784 + 0.286168i) q^{5} +(0.0160889 - 0.00928892i) q^{6} +(0.00171153 - 0.00171153i) q^{7} -1.55376 q^{8} +2.99790 q^{9} +(0.0848543 - 0.0848543i) q^{10} +(-3.03597 + 0.813486i) q^{11} +(0.0729240 + 0.0421027i) q^{12} +(-0.799827 + 2.98500i) q^{13} +(-0.000947012 - 0.000253751i) q^{14} +(-0.0131251 + 0.00351687i) q^{15} +(-1.52125 - 2.63489i) q^{16} +(-4.10622 + 4.10622i) q^{17} +(-0.607154 - 1.05162i) q^{18} +(-2.16132 + 1.24784i) q^{19} +(0.525384 + 0.140776i) q^{20} +(7.84996e-5 + 7.84996e-5i) q^{21} +(0.900226 + 0.900226i) q^{22} +(1.40942 + 0.813730i) q^{23} -0.0712634i q^{24} +(4.25411 - 2.45611i) q^{25} +(1.20908 - 0.323973i) q^{26} +0.275095i q^{27} +(-0.00115014 - 0.00429239i) q^{28} +(-0.129606 + 0.483698i) q^{29} +(0.00389186 + 0.00389186i) q^{30} +(1.37586 - 5.13479i) q^{31} +(-2.16995 + 3.75846i) q^{32} +(-0.0373107 - 0.139245i) q^{33} +(2.27203 + 0.608787i) q^{34} +(0.000621021 + 0.000358547i) q^{35} +(2.75197 - 4.76655i) q^{36} +(2.56088 - 4.43557i) q^{37} +(0.875450 + 0.505441i) q^{38} +(-0.136907 - 0.0366842i) q^{39} +(-0.119140 - 0.444635i) q^{40} +(3.48466 - 6.03560i) q^{41} +(1.16383e-5 - 4.34349e-5i) q^{42} +(-3.55291 - 3.55291i) q^{43} +(-1.49351 + 5.57384i) q^{44} +(0.229874 + 0.857901i) q^{45} -0.659209i q^{46} +(-0.430003 + 0.115219i) q^{47} +(0.120850 - 0.0697726i) q^{48} +6.99999i q^{49} +(-1.72314 - 0.994858i) q^{50} +(-0.188332 - 0.188332i) q^{51} +(4.01182 + 4.01182i) q^{52} +(4.36777 + 1.17034i) q^{53} +(0.0964995 - 0.0557140i) q^{54} +(-0.465587 - 0.806420i) q^{55} +(-0.00265930 + 0.00265930i) q^{56} +(-0.0572323 - 0.0991293i) q^{57} +(0.195923 - 0.0524975i) q^{58} +(-8.29367 - 2.22228i) q^{59} +(-0.00645673 + 0.0240968i) q^{60} +(6.08870 + 3.51531i) q^{61} +(-2.07986 + 0.557298i) q^{62} +(0.00513099 - 0.00513099i) q^{63} -4.32713 q^{64} -0.915539 q^{65} +(-0.0412890 + 0.0412890i) q^{66} +(-9.01155 + 5.20282i) q^{67} +(2.75937 + 10.2981i) q^{68} +(-0.0373219 + 0.0646434i) q^{69} -0.000290461i q^{70} +(-7.21753 - 12.5011i) q^{71} -4.65800 q^{72} +(-8.54048 - 0.245502i) q^{73} -2.07458 q^{74} +(0.112650 + 0.195116i) q^{75} +4.58189i q^{76} +(-0.00380385 + 0.00658846i) q^{77} +(0.0148591 + 0.0554548i) q^{78} +(7.02202 - 4.05416i) q^{79} +(0.637373 - 0.637373i) q^{80} +8.98107 q^{81} -2.82295 q^{82} +(2.97948 - 2.97948i) q^{83} +(0.000196871 - 5.27515e-5i) q^{84} +(-1.48993 - 0.860209i) q^{85} +(-0.526753 + 1.96587i) q^{86} +(-0.0221849 - 0.00594442i) q^{87} +(4.71716 - 1.26396i) q^{88} +(3.78531 + 6.55635i) q^{89} +(0.254384 - 0.254384i) q^{90} +(0.00373998 + 0.00647784i) q^{91} +(2.58760 - 1.49395i) q^{92} +(0.235508 + 0.0631042i) q^{93} +(0.127504 + 0.127504i) q^{94} +(-0.522817 - 0.522817i) q^{95} +(-0.172382 - 0.0995250i) q^{96} +6.25508i q^{97} +(2.45550 - 1.41769i) q^{98} +(-9.10153 + 2.43875i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 20 q - 4 q^{2} - 8 q^{4} - 4 q^{5} + 6 q^{6} - 2 q^{7} + 12 q^{8} - 32 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 20 q - 4 q^{2} - 8 q^{4} - 4 q^{5} + 6 q^{6} - 2 q^{7} + 12 q^{8} - 32 q^{9} - 12 q^{10} - 6 q^{11} + 30 q^{12} - 16 q^{13} - 8 q^{14} + 8 q^{15} - 4 q^{16} + 8 q^{17} + 4 q^{18} - 12 q^{19} + 8 q^{20} + 24 q^{21} + 8 q^{22} - 6 q^{23} - 36 q^{25} - 36 q^{26} - 12 q^{28} - 6 q^{29} + 34 q^{30} + 20 q^{31} - 6 q^{32} + 34 q^{33} + 36 q^{34} + 18 q^{35} + 18 q^{36} - 8 q^{37} - 66 q^{38} + 28 q^{39} - 2 q^{40} + 10 q^{41} - 56 q^{42} + 12 q^{43} + 34 q^{44} - 4 q^{45} - 20 q^{47} - 48 q^{48} + 30 q^{50} - 36 q^{51} + 80 q^{52} + 24 q^{53} + 24 q^{54} + 10 q^{55} + 10 q^{57} + 54 q^{58} - 18 q^{59} + 50 q^{60} + 42 q^{61} - 12 q^{62} - 48 q^{63} - 56 q^{64} - 44 q^{65} - 10 q^{66} - 42 q^{67} - 44 q^{68} + 24 q^{69} + 4 q^{71} - 112 q^{72} - 16 q^{73} - 96 q^{74} - 52 q^{75} + 52 q^{77} - 12 q^{78} + 54 q^{79} - 2 q^{80} + 60 q^{81} + 32 q^{82} - 30 q^{83} - 16 q^{84} + 6 q^{85} + 16 q^{86} + 32 q^{87} + 2 q^{88} - 22 q^{89} - 110 q^{90} - 8 q^{91} - 78 q^{92} + 78 q^{93} + 38 q^{94} + 38 q^{95} + 72 q^{96} + 138 q^{98} - 32 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/73\mathbb{Z}\right)^\times\).

\(n\) \(5\)
\(\chi(n)\) \(e\left(\frac{5}{12}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.202527 0.350787i −0.143208 0.248044i 0.785495 0.618868i \(-0.212408\pi\)
−0.928703 + 0.370825i \(0.879075\pi\)
\(3\) 0.0458652i 0.0264803i 0.999912 + 0.0132401i \(0.00421459\pi\)
−0.999912 + 0.0132401i \(0.995785\pi\)
\(4\) 0.917966 1.58996i 0.458983 0.794982i
\(5\) 0.0766784 + 0.286168i 0.0342916 + 0.127978i 0.980950 0.194261i \(-0.0622310\pi\)
−0.946658 + 0.322240i \(0.895564\pi\)
\(6\) 0.0160889 0.00928892i 0.00656826 0.00379219i
\(7\) 0.00171153 0.00171153i 0.000646897 0.000646897i −0.706783 0.707430i \(-0.749854\pi\)
0.707430 + 0.706783i \(0.249854\pi\)
\(8\) −1.55376 −0.549336
\(9\) 2.99790 0.999299
\(10\) 0.0848543 0.0848543i 0.0268333 0.0268333i
\(11\) −3.03597 + 0.813486i −0.915380 + 0.245275i −0.685610 0.727970i \(-0.740464\pi\)
−0.229771 + 0.973245i \(0.573798\pi\)
\(12\) 0.0729240 + 0.0421027i 0.0210513 + 0.0121540i
\(13\) −0.799827 + 2.98500i −0.221832 + 0.827889i 0.761817 + 0.647793i \(0.224308\pi\)
−0.983649 + 0.180097i \(0.942359\pi\)
\(14\) −0.000947012 0 0.000253751i −0.000253099 0 6.78178e-5i
\(15\) −0.0131251 + 0.00351687i −0.00338889 + 0.000908051i
\(16\) −1.52125 2.63489i −0.380314 0.658722i
\(17\) −4.10622 + 4.10622i −0.995905 + 0.995905i −0.999992 0.00408713i \(-0.998699\pi\)
0.00408713 + 0.999992i \(0.498699\pi\)
\(18\) −0.607154 1.05162i −0.143108 0.247870i
\(19\) −2.16132 + 1.24784i −0.495841 + 0.286274i −0.726994 0.686643i \(-0.759083\pi\)
0.231154 + 0.972917i \(0.425750\pi\)
\(20\) 0.525384 + 0.140776i 0.117479 + 0.0314785i
\(21\) 7.84996e−5 0 7.84996e-5i 1.71300e−5 0 1.71300e-5i
\(22\) 0.900226 + 0.900226i 0.191929 + 0.191929i
\(23\) 1.40942 + 0.813730i 0.293885 + 0.169675i 0.639693 0.768631i \(-0.279062\pi\)
−0.345808 + 0.938305i \(0.612395\pi\)
\(24\) 0.0712634i 0.0145466i
\(25\) 4.25411 2.45611i 0.850823 0.491223i
\(26\) 1.20908 0.323973i 0.237121 0.0635363i
\(27\) 0.275095i 0.0529420i
\(28\) −0.00115014 0.00429239i −0.000217357 0.000811186i
\(29\) −0.129606 + 0.483698i −0.0240673 + 0.0898204i −0.976915 0.213629i \(-0.931472\pi\)
0.952848 + 0.303449i \(0.0981383\pi\)
\(30\) 0.00389186 + 0.00389186i 0.000710553 + 0.000710553i
\(31\) 1.37586 5.13479i 0.247112 0.922236i −0.725198 0.688541i \(-0.758252\pi\)
0.972310 0.233695i \(-0.0750817\pi\)
\(32\) −2.16995 + 3.75846i −0.383596 + 0.664408i
\(33\) −0.0373107 0.139245i −0.00649496 0.0242395i
\(34\) 2.27203 + 0.608787i 0.389649 + 0.104406i
\(35\) 0.000621021 0 0.000358547i 0.000104972 0 6.06055e-5i
\(36\) 2.75197 4.76655i 0.458661 0.794424i
\(37\) 2.56088 4.43557i 0.421006 0.729203i −0.575033 0.818131i \(-0.695011\pi\)
0.996038 + 0.0889276i \(0.0283440\pi\)
\(38\) 0.875450 + 0.505441i 0.142017 + 0.0819934i
\(39\) −0.136907 0.0366842i −0.0219227 0.00587418i
\(40\) −0.119140 0.444635i −0.0188376 0.0703030i
\(41\) 3.48466 6.03560i 0.544212 0.942603i −0.454444 0.890775i \(-0.650162\pi\)
0.998656 0.0518277i \(-0.0165047\pi\)
\(42\) 1.16383e−5 0 4.34349e-5i 1.79583e−6 0 6.70214e-6i
\(43\) −3.55291 3.55291i −0.541813 0.541813i 0.382247 0.924060i \(-0.375150\pi\)
−0.924060 + 0.382247i \(0.875150\pi\)
\(44\) −1.49351 + 5.57384i −0.225154 + 0.840288i
\(45\) 0.229874 + 0.857901i 0.0342676 + 0.127888i
\(46\) 0.659209i 0.0971950i
\(47\) −0.430003 + 0.115219i −0.0627224 + 0.0168064i −0.290044 0.957013i \(-0.593670\pi\)
0.227321 + 0.973820i \(0.427003\pi\)
\(48\) 0.120850 0.0697726i 0.0174432 0.0100708i
\(49\) 6.99999i 0.999999i
\(50\) −1.72314 0.994858i −0.243689 0.140694i
\(51\) −0.188332 0.188332i −0.0263718 0.0263718i
\(52\) 4.01182 + 4.01182i 0.556340 + 0.556340i
\(53\) 4.36777 + 1.17034i 0.599960 + 0.160759i 0.546001 0.837784i \(-0.316149\pi\)
0.0539586 + 0.998543i \(0.482816\pi\)
\(54\) 0.0964995 0.0557140i 0.0131319 0.00758172i
\(55\) −0.465587 0.806420i −0.0627797 0.108738i
\(56\) −0.00265930 + 0.00265930i −0.000355364 + 0.000355364i
\(57\) −0.0572323 0.0991293i −0.00758061 0.0131300i
\(58\) 0.195923 0.0524975i 0.0257260 0.00689326i
\(59\) −8.29367 2.22228i −1.07974 0.289316i −0.325253 0.945627i \(-0.605449\pi\)
−0.754491 + 0.656311i \(0.772116\pi\)
\(60\) −0.00645673 + 0.0240968i −0.000833560 + 0.00311089i
\(61\) 6.08870 + 3.51531i 0.779578 + 0.450090i 0.836281 0.548302i \(-0.184725\pi\)
−0.0567027 + 0.998391i \(0.518059\pi\)
\(62\) −2.07986 + 0.557298i −0.264143 + 0.0707769i
\(63\) 0.00513099 0.00513099i 0.000646443 0.000646443i
\(64\) −4.32713 −0.540891
\(65\) −0.915539 −0.113559
\(66\) −0.0412890 + 0.0412890i −0.00508233 + 0.00508233i
\(67\) −9.01155 + 5.20282i −1.10094 + 0.635626i −0.936467 0.350756i \(-0.885925\pi\)
−0.164470 + 0.986382i \(0.552591\pi\)
\(68\) 2.75937 + 10.2981i 0.334623 + 1.24883i
\(69\) −0.0373219 + 0.0646434i −0.00449303 + 0.00778215i
\(70\) 0 0.000290461i 0 3.47168e-5i
\(71\) −7.21753 12.5011i −0.856563 1.48361i −0.875187 0.483785i \(-0.839262\pi\)
0.0186237 0.999827i \(-0.494072\pi\)
\(72\) −4.65800 −0.548951
\(73\) −8.54048 0.245502i −0.999587 0.0287338i
\(74\) −2.07458 −0.241165
\(75\) 0.112650 + 0.195116i 0.0130077 + 0.0225300i
\(76\) 4.58189i 0.525579i
\(77\) −0.00380385 + 0.00658846i −0.000433489 + 0.000750824i
\(78\) 0.0148591 + 0.0554548i 0.00168246 + 0.00627902i
\(79\) 7.02202 4.05416i 0.790039 0.456129i −0.0499375 0.998752i \(-0.515902\pi\)
0.839976 + 0.542623i \(0.182569\pi\)
\(80\) 0.637373 0.637373i 0.0712604 0.0712604i
\(81\) 8.98107 0.997897
\(82\) −2.82295 −0.311742
\(83\) 2.97948 2.97948i 0.327041 0.327041i −0.524419 0.851460i \(-0.675718\pi\)
0.851460 + 0.524419i \(0.175718\pi\)
\(84\) 0.000196871 0 5.27515e-5i 2.14804e−5 0 5.75566e-6i
\(85\) −1.48993 0.860209i −0.161605 0.0933027i
\(86\) −0.526753 + 1.96587i −0.0568013 + 0.211985i
\(87\) −0.0221849 0.00594442i −0.00237847 0.000637309i
\(88\) 4.71716 1.26396i 0.502851 0.134739i
\(89\) 3.78531 + 6.55635i 0.401242 + 0.694971i 0.993876 0.110500i \(-0.0352453\pi\)
−0.592634 + 0.805472i \(0.701912\pi\)
\(90\) 0.254384 0.254384i 0.0268145 0.0268145i
\(91\) 0.00373998 + 0.00647784i 0.000392056 + 0.000679062i
\(92\) 2.58760 1.49395i 0.269776 0.155755i
\(93\) 0.235508 + 0.0631042i 0.0244211 + 0.00654360i
\(94\) 0.127504 + 0.127504i 0.0131511 + 0.0131511i
\(95\) −0.522817 0.522817i −0.0536399 0.0536399i
\(96\) −0.172382 0.0995250i −0.0175937 0.0101577i
\(97\) 6.25508i 0.635107i 0.948240 + 0.317553i \(0.102861\pi\)
−0.948240 + 0.317553i \(0.897139\pi\)
\(98\) 2.45550 1.41769i 0.248043 0.143208i
\(99\) −9.10153 + 2.43875i −0.914738 + 0.245103i
\(100\) 9.01852i 0.901852i
\(101\) −2.73181 10.1952i −0.271825 1.01446i −0.957939 0.286971i \(-0.907352\pi\)
0.686115 0.727494i \(-0.259315\pi\)
\(102\) −0.0279221 + 0.104207i −0.00276470 + 0.0103180i
\(103\) 10.9764 + 10.9764i 1.08154 + 1.08154i 0.996366 + 0.0851746i \(0.0271448\pi\)
0.0851746 + 0.996366i \(0.472855\pi\)
\(104\) 1.24274 4.63796i 0.121860 0.454789i
\(105\) −1.64448e−5 0 2.84833e-5i −1.60485e−6 0 2.77968e-6i
\(106\) −0.474051 1.76918i −0.0460439 0.171838i
\(107\) 14.3482 + 3.84458i 1.38709 + 0.371670i 0.873691 0.486481i \(-0.161720\pi\)
0.513399 + 0.858150i \(0.328386\pi\)
\(108\) 0.437390 + 0.252527i 0.0420879 + 0.0242995i
\(109\) 4.64997 8.05399i 0.445387 0.771432i −0.552693 0.833385i \(-0.686400\pi\)
0.998079 + 0.0619531i \(0.0197329\pi\)
\(110\) −0.188588 + 0.326643i −0.0179811 + 0.0311442i
\(111\) 0.203438 + 0.117455i 0.0193095 + 0.0111483i
\(112\) −0.00711336 0.00190602i −0.000672149 0.000180102i
\(113\) −5.04022 18.8104i −0.474144 1.76953i −0.624632 0.780919i \(-0.714751\pi\)
0.150488 0.988612i \(-0.451916\pi\)
\(114\) −0.0231822 + 0.0401527i −0.00217121 + 0.00376064i
\(115\) −0.124791 + 0.465727i −0.0116368 + 0.0434292i
\(116\) 0.650088 + 0.650088i 0.0603591 + 0.0603591i
\(117\) −2.39780 + 8.94871i −0.221677 + 0.827309i
\(118\) 0.900143 + 3.35938i 0.0828649 + 0.309256i
\(119\) 0.0140558i 0.00128850i
\(120\) 0.0203933 0.00546436i 0.00186164 0.000498825i
\(121\) −0.970913 + 0.560557i −0.0882648 + 0.0509597i
\(122\) 2.84778i 0.257826i
\(123\) 0.276824 + 0.159824i 0.0249604 + 0.0144109i
\(124\) −6.90114 6.90114i −0.619740 0.619740i
\(125\) 2.07651 + 2.07651i 0.185728 + 0.185728i
\(126\) −0.00283904 0.000760719i −0.000252922 6.77702e-5i
\(127\) −7.11886 + 4.11008i −0.631697 + 0.364710i −0.781409 0.624019i \(-0.785499\pi\)
0.149712 + 0.988730i \(0.452165\pi\)
\(128\) 5.21625 + 9.03481i 0.461056 + 0.798572i
\(129\) 0.162955 0.162955i 0.0143474 0.0143474i
\(130\) 0.185421 + 0.321159i 0.0162625 + 0.0281675i
\(131\) 9.72752 2.60648i 0.849897 0.227729i 0.192522 0.981293i \(-0.438333\pi\)
0.657375 + 0.753563i \(0.271667\pi\)
\(132\) −0.255645 0.0684999i −0.0222510 0.00596215i
\(133\) −0.00156345 + 0.00583487i −0.000135568 + 0.000505948i
\(134\) 3.65016 + 2.10742i 0.315326 + 0.182053i
\(135\) −0.0787232 + 0.0210938i −0.00677541 + 0.00181547i
\(136\) 6.38007 6.38007i 0.547086 0.547086i
\(137\) 3.19422 0.272900 0.136450 0.990647i \(-0.456431\pi\)
0.136450 + 0.990647i \(0.456431\pi\)
\(138\) 0.0302347 0.00257375
\(139\) −11.2656 + 11.2656i −0.955538 + 0.955538i −0.999053 0.0435152i \(-0.986144\pi\)
0.0435152 + 0.999053i \(0.486144\pi\)
\(140\) 0.00114015 0.000658267i 9.63605e−5 5.56338e-5i
\(141\) −0.00528454 0.0197222i −0.000445038 0.00166091i
\(142\) −2.92349 + 5.06363i −0.245333 + 0.424930i
\(143\) 9.71302i 0.812243i
\(144\) −4.56056 7.89913i −0.380047 0.658261i
\(145\) −0.148357 −0.0123203
\(146\) 1.64356 + 3.04560i 0.136022 + 0.252056i
\(147\) −0.321056 −0.0264803
\(148\) −4.70159 8.14340i −0.386469 0.669383i
\(149\) 19.9646i 1.63557i 0.575526 + 0.817783i \(0.304797\pi\)
−0.575526 + 0.817783i \(0.695203\pi\)
\(150\) 0.0456293 0.0790323i 0.00372562 0.00645296i
\(151\) −2.72850 10.1829i −0.222042 0.828673i −0.983568 0.180538i \(-0.942216\pi\)
0.761526 0.648135i \(-0.224451\pi\)
\(152\) 3.35817 1.93884i 0.272383 0.157261i
\(153\) −12.3100 + 12.3100i −0.995206 + 0.995206i
\(154\) 0.00308152 0.000248316
\(155\) 1.57491 0.126500
\(156\) −0.184003 + 0.184003i −0.0147320 + 0.0147320i
\(157\) −13.0069 + 3.48519i −1.03806 + 0.278148i −0.737311 0.675554i \(-0.763905\pi\)
−0.300753 + 0.953702i \(0.597238\pi\)
\(158\) −2.84429 1.64215i −0.226280 0.130643i
\(159\) −0.0536779 + 0.200329i −0.00425694 + 0.0158871i
\(160\) −1.24194 0.332776i −0.0981837 0.0263083i
\(161\) 0.00380499 0.00101954i 0.000299875 8.03513e-5i
\(162\) −1.81891 3.15044i −0.142907 0.247522i
\(163\) −12.2685 + 12.2685i −0.960940 + 0.960940i −0.999265 0.0383252i \(-0.987798\pi\)
0.0383252 + 0.999265i \(0.487798\pi\)
\(164\) −6.39759 11.0810i −0.499568 0.865277i
\(165\) 0.0369866 0.0213542i 0.00287940 0.00166242i
\(166\) −1.64859 0.441738i −0.127955 0.0342855i
\(167\) 11.9418 + 11.9418i 0.924081 + 0.924081i 0.997315 0.0732341i \(-0.0233320\pi\)
−0.0732341 + 0.997315i \(0.523332\pi\)
\(168\) −0.000121969 0 0.000121969i −9.41013e−6 0 9.41013e-6i
\(169\) 2.98785 + 1.72504i 0.229835 + 0.132695i
\(170\) 0.696861i 0.0534468i
\(171\) −6.47941 + 3.74089i −0.495493 + 0.286073i
\(172\) −8.91044 + 2.38754i −0.679415 + 0.182049i
\(173\) 13.4038i 1.01907i −0.860450 0.509536i \(-0.829817\pi\)
0.860450 0.509536i \(-0.170183\pi\)
\(174\) 0.00240781 + 0.00898606i 0.000182536 + 0.000681232i
\(175\) 0.00307733 0.0114847i 0.000232624 0.000868165i
\(176\) 6.76193 + 6.76193i 0.509700 + 0.509700i
\(177\) 0.101925 0.380391i 0.00766118 0.0285919i
\(178\) 1.53325 2.65567i 0.114922 0.199051i
\(179\) 2.48953 + 9.29107i 0.186077 + 0.694447i 0.994398 + 0.105705i \(0.0337099\pi\)
−0.808321 + 0.588742i \(0.799623\pi\)
\(180\) 1.57505 + 0.422033i 0.117397 + 0.0314565i
\(181\) 12.0211 + 6.94041i 0.893525 + 0.515877i 0.875094 0.483953i \(-0.160800\pi\)
0.0184309 + 0.999830i \(0.494133\pi\)
\(182\) 0.00151489 0.00262387i 0.000112291 0.000194494i
\(183\) −0.161230 + 0.279259i −0.0119185 + 0.0206434i
\(184\) −2.18990 1.26434i −0.161442 0.0932083i
\(185\) 1.46568 + 0.392728i 0.107759 + 0.0288739i
\(186\) −0.0255606 0.0953934i −0.00187419 0.00699458i
\(187\) 9.12601 15.8067i 0.667360 1.15590i
\(188\) −0.211534 + 0.789456i −0.0154277 + 0.0575770i
\(189\) 0.000470832 0 0.000470832i 3.42480e−5 0 3.42480e-5i
\(190\) −0.0775128 + 0.289282i −0.00562337 + 0.0209867i
\(191\) −0.781470 2.91649i −0.0565452 0.211030i 0.931873 0.362785i \(-0.118174\pi\)
−0.988418 + 0.151755i \(0.951507\pi\)
\(192\) 0.198465i 0.0143229i
\(193\) −2.68335 + 0.719003i −0.193152 + 0.0517549i −0.354098 0.935208i \(-0.615212\pi\)
0.160946 + 0.986963i \(0.448545\pi\)
\(194\) 2.19420 1.26682i 0.157534 0.0909524i
\(195\) 0.0419914i 0.00300706i
\(196\) 11.1297 + 6.42576i 0.794981 + 0.458983i
\(197\) −13.3665 13.3665i −0.952323 0.952323i 0.0465906 0.998914i \(-0.485164\pi\)
−0.998914 + 0.0465906i \(0.985164\pi\)
\(198\) 2.69878 + 2.69878i 0.191794 + 0.191794i
\(199\) 21.3400 + 5.71803i 1.51275 + 0.405340i 0.917348 0.398087i \(-0.130326\pi\)
0.595403 + 0.803427i \(0.296992\pi\)
\(200\) −6.60986 + 3.81621i −0.467388 + 0.269846i
\(201\) −0.238628 0.413317i −0.0168316 0.0291531i
\(202\) −3.02309 + 3.02309i −0.212704 + 0.212704i
\(203\) 0.000606038 0.00104969i 4.25355e−5 7.36736e-5i
\(204\) −0.472325 + 0.126559i −0.0330693 + 0.00886090i
\(205\) 1.99439 + 0.534396i 0.139294 + 0.0373238i
\(206\) 1.62737 6.07341i 0.113384 0.423154i
\(207\) 4.22530 + 2.43948i 0.293679 + 0.169556i
\(208\) 9.08188 2.43348i 0.629715 0.168732i
\(209\) 5.54661 5.54661i 0.383667 0.383667i
\(210\) 1.33221e−5 0 9.19309e−7 0
\(211\) −17.2552 −1.18790 −0.593949 0.804503i \(-0.702432\pi\)
−0.593949 + 0.804503i \(0.702432\pi\)
\(212\) 5.87027 5.87027i 0.403172 0.403172i
\(213\) 0.573367 0.331033i 0.0392864 0.0226820i
\(214\) −1.55726 5.81178i −0.106452 0.397285i
\(215\) 0.744296 1.28916i 0.0507605 0.0879198i
\(216\) 0.427430i 0.0290829i
\(217\) −0.00643351 0.0111432i −0.000436735 0.000756448i
\(218\) −3.76697 −0.255132
\(219\) 0.0112600 0.391710i 0.000760879 0.0264693i
\(220\) −1.70957 −0.115259
\(221\) −8.97278 15.5413i −0.603575 1.04542i
\(222\) 0.0951512i 0.00638613i
\(223\) 12.9595 22.4465i 0.867831 1.50313i 0.00362159 0.999993i \(-0.498847\pi\)
0.864209 0.503133i \(-0.167819\pi\)
\(224\) 0.00271878 + 0.0101466i 0.000181656 + 0.000677951i
\(225\) 12.7534 7.36318i 0.850226 0.490878i
\(226\) −5.57765 + 5.57765i −0.371019 + 0.371019i
\(227\) 15.9565 1.05907 0.529536 0.848288i \(-0.322366\pi\)
0.529536 + 0.848288i \(0.322366\pi\)
\(228\) −0.210149 −0.0139175
\(229\) −9.62557 + 9.62557i −0.636076 + 0.636076i −0.949585 0.313509i \(-0.898495\pi\)
0.313509 + 0.949585i \(0.398495\pi\)
\(230\) 0.188644 0.0505470i 0.0124388 0.00333297i
\(231\) −0.000302181 0 0.000174464i −1.98820e−5 0 1.14789e-5i
\(232\) 0.201377 0.751549i 0.0132210 0.0493416i
\(233\) −4.46002 1.19506i −0.292185 0.0782908i 0.109749 0.993959i \(-0.464995\pi\)
−0.401934 + 0.915669i \(0.631662\pi\)
\(234\) 3.62471 0.971237i 0.236954 0.0634918i
\(235\) −0.0659438 0.114218i −0.00430170 0.00745077i
\(236\) −11.1467 + 11.1467i −0.725585 + 0.725585i
\(237\) 0.185945 + 0.322066i 0.0120784 + 0.0209204i
\(238\) 0.00493059 0.00284668i 0.000319603 0.000184523i
\(239\) 25.6022 + 6.86008i 1.65607 + 0.443742i 0.961302 0.275495i \(-0.0888419\pi\)
0.694765 + 0.719237i \(0.255509\pi\)
\(240\) 0.0292332 + 0.0292332i 0.00188700 + 0.00188700i
\(241\) −0.470987 0.470987i −0.0303389 0.0303389i 0.691775 0.722114i \(-0.256829\pi\)
−0.722114 + 0.691775i \(0.756829\pi\)
\(242\) 0.393272 + 0.227055i 0.0252805 + 0.0145957i
\(243\) 1.23720i 0.0793666i
\(244\) 11.1784 6.45387i 0.715626 0.413167i
\(245\) −2.00317 + 0.536748i −0.127978 + 0.0342916i
\(246\) 0.129475i 0.00825502i
\(247\) −1.99611 7.44959i −0.127010 0.474006i
\(248\) −2.13776 + 7.97822i −0.135748 + 0.506617i
\(249\) 0.136655 + 0.136655i 0.00866013 + 0.00866013i
\(250\) 0.307862 1.14896i 0.0194709 0.0726665i
\(251\) −13.5815 + 23.5238i −0.857255 + 1.48481i 0.0172819 + 0.999851i \(0.494499\pi\)
−0.874537 + 0.484959i \(0.838835\pi\)
\(252\) −0.00344801 0.0128681i −0.000217204 0.000810617i
\(253\) −4.94093 1.32392i −0.310633 0.0832339i
\(254\) 2.88352 + 1.66480i 0.180928 + 0.104459i
\(255\) 0.0394536 0.0683357i 0.00247068 0.00427935i
\(256\) −2.21427 + 3.83522i −0.138392 + 0.239701i
\(257\) −21.1811 12.2289i −1.32124 0.762819i −0.337314 0.941392i \(-0.609518\pi\)
−0.983927 + 0.178574i \(0.942852\pi\)
\(258\) −0.0901650 0.0241596i −0.00561343 0.00150411i
\(259\) −0.00320859 0.0119746i −0.000199372 0.000744066i
\(260\) −0.840433 + 1.45567i −0.0521215 + 0.0902770i
\(261\) −0.388547 + 1.45008i −0.0240504 + 0.0897574i
\(262\) −2.88440 2.88440i −0.178199 0.178199i
\(263\) 2.49575 9.31427i 0.153895 0.574343i −0.845303 0.534287i \(-0.820580\pi\)
0.999197 0.0400551i \(-0.0127533\pi\)
\(264\) 0.0579718 + 0.216354i 0.00356792 + 0.0133156i
\(265\) 1.33966i 0.0822944i
\(266\) 0.00236343 0.000633280i 0.000144911 3.88289e-5i
\(267\) −0.300708 + 0.173614i −0.0184030 + 0.0106250i
\(268\) 19.1041i 1.16697i
\(269\) −7.89267 4.55684i −0.481225 0.277835i 0.239702 0.970847i \(-0.422950\pi\)
−0.720927 + 0.693011i \(0.756284\pi\)
\(270\) 0.0233430 + 0.0233430i 0.00142061 + 0.00142061i
\(271\) 17.9646 + 17.9646i 1.09127 + 1.09127i 0.995393 + 0.0958802i \(0.0305666\pi\)
0.0958802 + 0.995393i \(0.469433\pi\)
\(272\) 17.0660 + 4.57283i 1.03478 + 0.277269i
\(273\) −0.000297107 0 0.000171535i −1.79817e−5 0 1.03818e-5i
\(274\) −0.646914 1.12049i −0.0390815 0.0676912i
\(275\) −10.9174 + 10.9174i −0.658341 + 0.658341i
\(276\) 0.0685204 + 0.118681i 0.00412445 + 0.00714375i
\(277\) 20.5425 5.50435i 1.23428 0.330724i 0.418035 0.908431i \(-0.362719\pi\)
0.816244 + 0.577707i \(0.196052\pi\)
\(278\) 6.23342 + 1.67024i 0.373856 + 0.100174i
\(279\) 4.12470 15.3936i 0.246939 0.921589i
\(280\) −0.000964916 0 0.000557095i −5.76648e−5 0 3.32928e-5i
\(281\) −21.2589 + 5.69631i −1.26820 + 0.339813i −0.829341 0.558743i \(-0.811284\pi\)
−0.438859 + 0.898556i \(0.644617\pi\)
\(282\) −0.00584801 + 0.00584801i −0.000348244 + 0.000348244i
\(283\) −24.3846 −1.44951 −0.724756 0.689005i \(-0.758048\pi\)
−0.724756 + 0.689005i \(0.758048\pi\)
\(284\) −26.5018 −1.57259
\(285\) 0.0239791 0.0239791i 0.00142040 0.00142040i
\(286\) −3.40720 + 1.96715i −0.201472 + 0.116320i
\(287\) −0.00436602 0.0162942i −0.000257718 0.000961816i
\(288\) −6.50528 + 11.2675i −0.383327 + 0.663942i
\(289\) 16.7221i 0.983652i
\(290\) 0.0300462 + 0.0520415i 0.00176437 + 0.00305598i
\(291\) −0.286890 −0.0168178
\(292\) −8.23020 + 13.3537i −0.481636 + 0.781465i
\(293\) −28.0866 −1.64084 −0.820418 0.571764i \(-0.806259\pi\)
−0.820418 + 0.571764i \(0.806259\pi\)
\(294\) 0.0650224 + 0.112622i 0.00379218 + 0.00656826i
\(295\) 2.54378i 0.148105i
\(296\) −3.97898 + 6.89180i −0.231274 + 0.400578i
\(297\) −0.223786 0.835180i −0.0129854 0.0484620i
\(298\) 7.00332 4.04337i 0.405692 0.234226i
\(299\) −3.55628 + 3.55628i −0.205665 + 0.205665i
\(300\) 0.413636 0.0238813
\(301\) −0.0121618 −0.000700995
\(302\) −3.01943 + 3.01943i −0.173749 + 0.173749i
\(303\) 0.467606 0.125295i 0.0268633 0.00719800i
\(304\) 6.57583 + 3.79656i 0.377150 + 0.217748i
\(305\) −0.539097 + 2.01194i −0.0308686 + 0.115203i
\(306\) 6.81130 + 1.82508i 0.389376 + 0.104333i
\(307\) 5.30223 1.42073i 0.302614 0.0810852i −0.104317 0.994544i \(-0.533266\pi\)
0.406931 + 0.913459i \(0.366599\pi\)
\(308\) 0.00698361 + 0.0120960i 0.000397928 + 0.000689231i
\(309\) −0.503436 + 0.503436i −0.0286395 + 0.0286395i
\(310\) −0.318961 0.552457i −0.0181158 0.0313775i
\(311\) 10.3913 5.99942i 0.589236 0.340196i −0.175559 0.984469i \(-0.556173\pi\)
0.764795 + 0.644273i \(0.222840\pi\)
\(312\) 0.212721 + 0.0569984i 0.0120429 + 0.00322690i
\(313\) 9.80910 + 9.80910i 0.554443 + 0.554443i 0.927720 0.373277i \(-0.121766\pi\)
−0.373277 + 0.927720i \(0.621766\pi\)
\(314\) 3.85680 + 3.85680i 0.217652 + 0.217652i
\(315\) 0.00186176 + 0.00107489i 0.000104898 + 6.05630e-5i
\(316\) 14.8863i 0.837422i
\(317\) 7.53871 4.35248i 0.423416 0.244459i −0.273122 0.961979i \(-0.588056\pi\)
0.696538 + 0.717520i \(0.254723\pi\)
\(318\) 0.0811438 0.0217424i 0.00455032 0.00121925i
\(319\) 1.57393i 0.0881229i
\(320\) −0.331797 1.23828i −0.0185480 0.0692222i
\(321\) −0.176332 + 0.658081i −0.00984191 + 0.0367305i
\(322\) −0.00112825 0.00112825i −6.28752e−5 6.28752e-5i
\(323\) 3.75095 13.9988i 0.208709 0.778911i
\(324\) 8.24432 14.2796i 0.458018 0.793310i
\(325\) 3.92894 + 14.6630i 0.217938 + 0.813356i
\(326\) 6.78830 + 1.81892i 0.375969 + 0.100741i
\(327\) 0.369398 + 0.213272i 0.0204277 + 0.0117940i
\(328\) −5.41431 + 9.37787i −0.298955 + 0.517806i
\(329\) −0.000538762 0 0.000933163i −2.97029e−5 0 5.14469e-5i
\(330\) −0.0149815 0.00864960i −0.000824707 0.000476145i
\(331\) −1.11537 0.298863i −0.0613064 0.0164270i 0.228035 0.973653i \(-0.426770\pi\)
−0.289342 + 0.957226i \(0.593436\pi\)
\(332\) −2.00221 7.47234i −0.109885 0.410098i
\(333\) 7.67724 13.2974i 0.420710 0.728692i
\(334\) 1.77048 6.60753i 0.0968765 0.361548i
\(335\) −2.17987 2.17987i −0.119099 0.119099i
\(336\) 8.74199e−5 0 0.000326256i 4.76915e−6 0 1.77987e-5i
\(337\) −3.14642 11.7426i −0.171397 0.639661i −0.997137 0.0756110i \(-0.975909\pi\)
0.825741 0.564050i \(-0.190757\pi\)
\(338\) 1.39746i 0.0760120i
\(339\) 0.862741 0.231171i 0.0468577 0.0125555i
\(340\) −2.73540 + 1.57928i −0.148348 + 0.0856487i
\(341\) 16.7083i 0.904807i
\(342\) 2.62451 + 1.51526i 0.141917 + 0.0819359i
\(343\) 0.0239614 + 0.0239614i 0.00129379 + 0.00129379i
\(344\) 5.52035 + 5.52035i 0.297638 + 0.297638i
\(345\) −0.0213606 0.00572356i −0.00115002 0.000308146i
\(346\) −4.70187 + 2.71463i −0.252774 + 0.145939i
\(347\) 11.9527 + 20.7026i 0.641653 + 1.11138i 0.985064 + 0.172190i \(0.0550842\pi\)
−0.343411 + 0.939185i \(0.611582\pi\)
\(348\) −0.0298164 + 0.0298164i −0.00159833 + 0.00159833i
\(349\) −10.8175 18.7365i −0.579049 1.00294i −0.995589 0.0938251i \(-0.970091\pi\)
0.416539 0.909118i \(-0.363243\pi\)
\(350\) −0.00465194 + 0.00124648i −0.000248656 + 6.66273e-5i
\(351\) −0.821156 0.220028i −0.0438301 0.0117442i
\(352\) 3.53044 13.1758i 0.188173 0.702272i
\(353\) 7.35038 + 4.24374i 0.391221 + 0.225872i 0.682689 0.730709i \(-0.260810\pi\)
−0.291468 + 0.956581i \(0.594144\pi\)
\(354\) −0.154079 + 0.0412852i −0.00818918 + 0.00219428i
\(355\) 3.02399 3.02399i 0.160497 0.160497i
\(356\) 13.8991 0.736653
\(357\) −0.000644673 0 −3.41197e−5 0
\(358\) 2.75498 2.75498i 0.145605 0.145605i
\(359\) −2.81780 + 1.62686i −0.148718 + 0.0858621i −0.572512 0.819896i \(-0.694031\pi\)
0.423795 + 0.905758i \(0.360698\pi\)
\(360\) −0.357168 1.33297i −0.0188244 0.0702537i
\(361\) −6.38580 + 11.0605i −0.336095 + 0.582133i
\(362\) 5.62248i 0.295511i
\(363\) −0.0257100 0.0445311i −0.00134943 0.00233728i
\(364\) 0.0137327 0.000719789
\(365\) −0.584615 2.46283i −0.0306002 0.128911i
\(366\) 0.130614 0.00682730
\(367\) −13.0282 22.5655i −0.680067 1.17791i −0.974960 0.222380i \(-0.928617\pi\)
0.294893 0.955530i \(-0.404716\pi\)
\(368\) 4.95156i 0.258118i
\(369\) 10.4466 18.0941i 0.543831 0.941942i
\(370\) −0.159076 0.593679i −0.00826995 0.0308639i
\(371\) 0.00947864 0.00547250i 0.000492107 0.000284118i
\(372\) 0.316522 0.316522i 0.0164109 0.0164109i
\(373\) 22.0294 1.14064 0.570320 0.821423i \(-0.306819\pi\)
0.570320 + 0.821423i \(0.306819\pi\)
\(374\) −7.39305 −0.382285
\(375\) −0.0952393 + 0.0952393i −0.00491814 + 0.00491814i
\(376\) 0.668120 0.179022i 0.0344557 0.00923237i
\(377\) −1.34017 0.773750i −0.0690225 0.0398501i
\(378\) 6.98055e−5 0 0.000260518i 3.59041e−6 0 1.33996e-5i
\(379\) 24.7241 + 6.62479i 1.26999 + 0.340293i 0.830027 0.557723i \(-0.188325\pi\)
0.439963 + 0.898016i \(0.354992\pi\)
\(380\) −1.31119 + 0.351332i −0.0672626 + 0.0180230i
\(381\) −0.188509 0.326508i −0.00965763 0.0167275i
\(382\) −0.864796 + 0.864796i −0.0442468 + 0.0442468i
\(383\) 4.59316 + 7.95559i 0.234699 + 0.406511i 0.959185 0.282778i \(-0.0912561\pi\)
−0.724486 + 0.689290i \(0.757923\pi\)
\(384\) −0.414383 + 0.239244i −0.0211464 + 0.0122089i
\(385\) −0.00217708 0.000583346i −0.000110954 2.97301e-5i
\(386\) 0.795667 + 0.795667i 0.0404984 + 0.0404984i
\(387\) −10.6512 10.6512i −0.541433 0.541433i
\(388\) 9.94535 + 5.74195i 0.504898 + 0.291503i
\(389\) 18.9876i 0.962708i 0.876526 + 0.481354i \(0.159855\pi\)
−0.876526 + 0.481354i \(0.840145\pi\)
\(390\) −0.0147300 + 0.00850437i −0.000745883 + 0.000430636i
\(391\) −9.12875 + 2.44604i −0.461661 + 0.123702i
\(392\) 10.8763i 0.549336i
\(393\) 0.119547 + 0.446154i 0.00603033 + 0.0225055i
\(394\) −1.98171 + 7.39586i −0.0998373 + 0.372598i
\(395\) 1.69861 + 1.69861i 0.0854662 + 0.0854662i
\(396\) −4.47737 + 16.7098i −0.224997 + 0.839698i
\(397\) −1.06041 + 1.83669i −0.0532205 + 0.0921806i −0.891408 0.453201i \(-0.850282\pi\)
0.838188 + 0.545382i \(0.183615\pi\)
\(398\) −2.31611 8.64383i −0.116096 0.433276i
\(399\) −0.000267617 0 7.17079e-5i −1.33976e−5 0 3.58988e-6i
\(400\) −12.9432 7.47275i −0.647159 0.373637i
\(401\) 3.29622 5.70922i 0.164605 0.285105i −0.771910 0.635732i \(-0.780698\pi\)
0.936515 + 0.350627i \(0.114032\pi\)
\(402\) −0.0966573 + 0.167415i −0.00482083 + 0.00834992i
\(403\) 14.2269 + 8.21389i 0.708691 + 0.409163i
\(404\) −18.7178 5.01541i −0.931243 0.249526i
\(405\) 0.688654 + 2.57009i 0.0342195 + 0.127709i
\(406\) 0.000245478 0 0.000425180i 1.21828e−5 0 2.11013e-5i
\(407\) −4.16648 + 15.5495i −0.206525 + 0.770760i
\(408\) 0.292623 + 0.292623i 0.0144870 + 0.0144870i
\(409\) −3.05648 + 11.4069i −0.151133 + 0.564037i 0.848272 + 0.529560i \(0.177643\pi\)
−0.999406 + 0.0344766i \(0.989024\pi\)
\(410\) −0.216459 0.807836i −0.0106901 0.0398962i
\(411\) 0.146503i 0.00722648i
\(412\) 27.5281 7.37614i 1.35621 0.363396i
\(413\) −0.0179983 + 0.0103914i −0.000885641 + 0.000511325i
\(414\) 1.97624i 0.0971268i
\(415\) 1.08109 + 0.624170i 0.0530688 + 0.0306393i
\(416\) −9.48340 9.48340i −0.464962 0.464962i
\(417\) −0.516700 0.516700i −0.0253029 0.0253029i
\(418\) −3.06901 0.822339i −0.150110 0.0402219i
\(419\) −4.28640 + 2.47475i −0.209404 + 0.120900i −0.601035 0.799223i \(-0.705245\pi\)
0.391630 + 0.920123i \(0.371911\pi\)
\(420\) 3.01916e−5 0 5.22933e-5i 1.47320e−6 0 2.55165e-6i
\(421\) 9.23661 9.23661i 0.450165 0.450165i −0.445244 0.895409i \(-0.646883\pi\)
0.895409 + 0.445244i \(0.146883\pi\)
\(422\) 3.49464 + 6.05290i 0.170117 + 0.294650i
\(423\) −1.28910 + 0.345414i −0.0626784 + 0.0167946i
\(424\) −6.78646 1.81843i −0.329580 0.0883106i
\(425\) −7.38298 + 27.5537i −0.358127 + 1.33655i
\(426\) −0.232244 0.134086i −0.0112523 0.00649650i
\(427\) 0.0164375 0.00440443i 0.000795468 0.000213145i
\(428\) 19.2839 19.2839i 0.932121 0.932121i
\(429\) 0.445489 0.0215084
\(430\) −0.602959 −0.0290773
\(431\) −15.7658 + 15.7658i −0.759413 + 0.759413i −0.976215 0.216803i \(-0.930437\pi\)
0.216803 + 0.976215i \(0.430437\pi\)
\(432\) 0.724844 0.418489i 0.0348741 0.0201346i
\(433\) −2.37293 8.85590i −0.114036 0.425588i 0.885177 0.465254i \(-0.154037\pi\)
−0.999213 + 0.0396666i \(0.987370\pi\)
\(434\) −0.00260592 + 0.00451358i −0.000125088 + 0.000216659i
\(435\) 0.00680440i 0.000326246i
\(436\) −8.53703 14.7866i −0.408850 0.708148i
\(437\) −4.06162 −0.194293
\(438\) −0.139687 + 0.0753820i −0.00667451 + 0.00360189i
\(439\) −14.2848 −0.681774 −0.340887 0.940104i \(-0.610727\pi\)
−0.340887 + 0.940104i \(0.610727\pi\)
\(440\) 0.723409 + 1.25298i 0.0344872 + 0.0597335i
\(441\) 20.9853i 0.999298i
\(442\) −3.63446 + 6.29506i −0.172874 + 0.299426i
\(443\) −2.19079 8.17615i −0.104088 0.388460i 0.894152 0.447763i \(-0.147779\pi\)
−0.998240 + 0.0593023i \(0.981112\pi\)
\(444\) 0.373499 0.215639i 0.0177255 0.0102338i
\(445\) −1.58596 + 1.58596i −0.0751818 + 0.0751818i
\(446\) −10.4986 −0.497121
\(447\) −0.915681 −0.0433102
\(448\) −0.00740600 + 0.00740600i −0.000349901 + 0.000349901i
\(449\) −15.6061 + 4.18165i −0.736499 + 0.197344i −0.607522 0.794303i \(-0.707836\pi\)
−0.128978 + 0.991647i \(0.541170\pi\)
\(450\) −5.16581 2.98248i −0.243518 0.140595i
\(451\) −5.66944 + 21.1586i −0.266964 + 0.996322i
\(452\) −34.5346 9.25351i −1.62437 0.435248i
\(453\) 0.467041 0.125143i 0.0219435 0.00587974i
\(454\) −3.23162 5.59733i −0.151667 0.262696i
\(455\) −0.00156697 + 0.00156697i −7.34607e−5 + 7.34607e-5i
\(456\) 0.0889252 + 0.154023i 0.00416430 + 0.00721278i
\(457\) 0.728318 0.420495i 0.0340693 0.0196699i −0.482869 0.875693i \(-0.660405\pi\)
0.516938 + 0.856023i \(0.327072\pi\)
\(458\) 5.32596 + 1.42709i 0.248866 + 0.0666833i
\(459\) −1.12960 1.12960i −0.0527252 0.0527252i
\(460\) 0.625934 + 0.625934i 0.0291843 + 0.0291843i
\(461\) −2.96363 1.71106i −0.138030 0.0796918i 0.429395 0.903117i \(-0.358727\pi\)
−0.567425 + 0.823425i \(0.692060\pi\)
\(462\) 0 0.000141335i 0 6.57548e-6i
\(463\) −20.3455 + 11.7465i −0.945538 + 0.545906i −0.891692 0.452643i \(-0.850481\pi\)
−0.0538457 + 0.998549i \(0.517148\pi\)
\(464\) 1.47165 0.394329i 0.0683199 0.0183063i
\(465\) 0.0722335i 0.00334975i
\(466\) 0.484062 + 1.80654i 0.0224237 + 0.0836866i
\(467\) 8.80633 32.8657i 0.407508 1.52084i −0.391874 0.920019i \(-0.628173\pi\)
0.799383 0.600822i \(-0.205160\pi\)
\(468\) 12.0270 + 12.0270i 0.555949 + 0.555949i
\(469\) −0.00651875 + 0.0243283i −0.000301008 + 0.00112338i
\(470\) −0.0267108 + 0.0462644i −0.00123208 + 0.00213402i
\(471\) −0.159849 0.596564i −0.00736544 0.0274882i
\(472\) 12.8863 + 3.45289i 0.593142 + 0.158932i
\(473\) 13.6768 + 7.89628i 0.628858 + 0.363072i
\(474\) 0.0753176 0.130454i 0.00345945 0.00599195i
\(475\) −6.12967 + 10.6169i −0.281248 + 0.487137i
\(476\) 0.0223482 + 0.0129028i 0.00102433 + 0.000591397i
\(477\) 13.0941 + 3.50856i 0.599539 + 0.160646i
\(478\) −2.77870 10.3702i −0.127095 0.474324i
\(479\) −9.55942 + 16.5574i −0.436781 + 0.756527i −0.997439 0.0715205i \(-0.977215\pi\)
0.560658 + 0.828047i \(0.310548\pi\)
\(480\) 0.0152628 0.0569617i 0.000696650 0.00259993i
\(481\) 11.1919 + 11.1919i 0.510307 + 0.510307i
\(482\) −0.0698284 + 0.260603i −0.00318060 + 0.0118702i
\(483\) 4.67616e−5 0 0.000174517i 2.12772e−6 0 7.94078e-6i
\(484\) 2.05829i 0.0935586i
\(485\) −1.79000 + 0.479629i −0.0812798 + 0.0217788i
\(486\) 0.433994 0.250567i 0.0196864 0.0113659i
\(487\) 34.4117i 1.55934i −0.626189 0.779672i \(-0.715386\pi\)
0.626189 0.779672i \(-0.284614\pi\)
\(488\) −9.46036 5.46194i −0.428250 0.247250i
\(489\) −0.562695 0.562695i −0.0254460 0.0254460i
\(490\) 0.593980 + 0.593980i 0.0268333 + 0.0268333i
\(491\) 5.92896 + 1.58866i 0.267570 + 0.0716952i 0.390110 0.920768i \(-0.372437\pi\)
−0.122539 + 0.992464i \(0.539104\pi\)
\(492\) 0.508230 0.293427i 0.0229128 0.0132287i
\(493\) −1.45398 2.51836i −0.0654838 0.113421i
\(494\) −2.20895 + 2.20895i −0.0993853 + 0.0993853i
\(495\) −1.39578 2.41756i −0.0627357 0.108661i
\(496\) −15.6226 + 4.18608i −0.701478 + 0.187960i
\(497\) −0.0337491 0.00904303i −0.00151385 0.000405635i
\(498\) 0.0202604 0.0756128i 0.000907890 0.00338829i
\(499\) 19.1453 + 11.0535i 0.857062 + 0.494825i 0.863027 0.505157i \(-0.168566\pi\)
−0.00596557 + 0.999982i \(0.501899\pi\)
\(500\) 5.20773 1.39541i 0.232897 0.0624045i
\(501\) −0.547711 + 0.547711i −0.0244699 + 0.0244699i
\(502\) 11.0024 0.491063
\(503\) 24.9814 1.11386 0.556932 0.830558i \(-0.311978\pi\)
0.556932 + 0.830558i \(0.311978\pi\)
\(504\) −0.00797231 + 0.00797231i −0.000355115 + 0.000355115i
\(505\) 2.70808 1.56351i 0.120508 0.0695752i
\(506\) 0.536257 + 2.00134i 0.0238395 + 0.0889704i
\(507\) −0.0791190 + 0.137038i −0.00351380 + 0.00608608i
\(508\) 15.0916i 0.669583i
\(509\) −0.254521 0.440843i −0.0112814 0.0195400i 0.860330 0.509738i \(-0.170258\pi\)
−0.871611 + 0.490198i \(0.836924\pi\)
\(510\) −0.0319617 −0.00141529
\(511\) −0.0150375 + 0.0141971i −0.000665218 + 0.000628042i
\(512\) 22.6588 1.00139
\(513\) −0.343274 0.594567i −0.0151559 0.0262508i
\(514\) 9.90673i 0.436967i
\(515\) −2.29945 + 3.98276i −0.101326 + 0.175501i
\(516\) −0.109505 0.408679i −0.00482070 0.0179911i
\(517\) 1.21175 0.699603i 0.0532926 0.0307685i
\(518\) −0.00355071 + 0.00355071i −0.000156009 + 0.000156009i
\(519\) 0.614767 0.0269853
\(520\) 1.42253 0.0623819
\(521\) 18.0474 18.0474i 0.790669 0.790669i −0.190934 0.981603i \(-0.561152\pi\)
0.981603 + 0.190934i \(0.0611515\pi\)
\(522\) 0.587358 0.157382i 0.0257080 0.00688843i
\(523\) −21.7121 12.5355i −0.949404 0.548138i −0.0565079 0.998402i \(-0.517997\pi\)
−0.892896 + 0.450264i \(0.851330\pi\)
\(524\) 4.78532 17.8591i 0.209048 0.780177i
\(525\) 0.000526750 0 0.000141142i 2.29893e−5 0 6.15995e-6i
\(526\) −3.77278 + 1.01091i −0.164501 + 0.0440779i
\(527\) 15.4350 + 26.7342i 0.672358 + 1.16456i
\(528\) −0.310137 + 0.310137i −0.0134970 + 0.0134970i
\(529\) −10.1757 17.6248i −0.442421 0.766296i
\(530\) 0.469933 0.271316i 0.0204126 0.0117852i
\(531\) −24.8636 6.66217i −1.07899 0.289114i
\(532\) 0.00784204 + 0.00784204i 0.000339996 + 0.000339996i
\(533\) 15.2291 + 15.2291i 0.659647 + 0.659647i
\(534\) 0.121803 + 0.0703229i 0.00527092 + 0.00304317i
\(535\) 4.40078i 0.190262i
\(536\) 14.0018 8.08392i 0.604784 0.349172i
\(537\) −0.426136 + 0.114183i −0.0183891 + 0.00492736i
\(538\) 3.69153i 0.159153i
\(539\) −5.69440 21.2518i −0.245275 0.915379i
\(540\) −0.0387268 + 0.144530i −0.00166654 + 0.00621960i
\(541\) −8.96216 8.96216i −0.385313 0.385313i 0.487699 0.873012i \(-0.337836\pi\)
−0.873012 + 0.487699i \(0.837836\pi\)
\(542\) 2.66343 9.94006i 0.114404 0.426962i
\(543\) −0.318323 + 0.551352i −0.0136606 + 0.0236608i
\(544\) −6.52278 24.3433i −0.279662 1.04371i
\(545\) 2.66134 + 0.713105i 0.113999 + 0.0305460i
\(546\) 0.000120344 0 6.94808e-5i 5.15026e−6 0 2.97350e-6i
\(547\) 10.3082 17.8544i 0.440749 0.763399i −0.556997 0.830515i \(-0.688046\pi\)
0.997745 + 0.0671157i \(0.0213797\pi\)
\(548\) 2.93218 5.07869i 0.125257 0.216951i
\(549\) 18.2533 + 10.5385i 0.779031 + 0.449774i
\(550\) 6.04072 + 1.61861i 0.257577 + 0.0690176i
\(551\) −0.323456 1.20715i −0.0137797 0.0514265i
\(552\) 0.0579892 0.100440i 0.00246818 0.00427502i
\(553\) 0.00507957 0.0189572i 0.000216005 0.000806142i
\(554\) −6.09126 6.09126i −0.258793 0.258793i
\(555\) −0.0180125 + 0.0672237i −0.000764589 + 0.00285349i
\(556\) 7.57047 + 28.2534i 0.321060 + 1.19821i
\(557\) 8.28067i 0.350863i −0.984492 0.175432i \(-0.943868\pi\)
0.984492 0.175432i \(-0.0561321\pi\)
\(558\) −6.23522 + 1.67072i −0.263958 + 0.0707273i
\(559\) 13.4471 7.76370i 0.568753 0.328370i
\(560\) 0.00218176i 9.21963e-5i
\(561\) 0.724978 + 0.418566i 0.0306086 + 0.0176719i
\(562\) 6.30368 + 6.30368i 0.265905 + 0.265905i
\(563\) −24.6813 24.6813i −1.04019 1.04019i −0.999158 0.0410360i \(-0.986934\pi\)
−0.0410360 0.999158i \(-0.513066\pi\)
\(564\) −0.0362085 0.00970205i −0.00152465 0.000408530i
\(565\) 4.99644 2.88470i 0.210202 0.121360i
\(566\) 4.93853 + 8.55378i 0.207582 + 0.359542i
\(567\) 0.0153714 0.0153714i 0.000645537 0.000645537i
\(568\) 11.2143 + 19.4237i 0.470541 + 0.815001i
\(569\) 5.12594 1.37349i 0.214891 0.0575798i −0.149768 0.988721i \(-0.547853\pi\)
0.364658 + 0.931141i \(0.381186\pi\)
\(570\) −0.0132680 0.00355514i −0.000555734 0.000148908i
\(571\) 1.80242 6.72672i 0.0754289 0.281504i −0.917901 0.396809i \(-0.870118\pi\)
0.993330 + 0.115304i \(0.0367843\pi\)
\(572\) −15.4433 8.91622i −0.645718 0.372806i
\(573\) 0.133765 0.0358423i 0.00558812 0.00149733i
\(574\) −0.00483155 + 0.00483155i −0.000201665 + 0.000201665i
\(575\) 7.99446 0.333392
\(576\) −12.9723 −0.540512
\(577\) −1.46667 + 1.46667i −0.0610581 + 0.0610581i −0.736977 0.675918i \(-0.763747\pi\)
0.675918 + 0.736977i \(0.263747\pi\)
\(578\) −5.86588 + 3.38667i −0.243988 + 0.140867i
\(579\) −0.0329772 0.123073i −0.00137048 0.00511472i
\(580\) −0.136186 + 0.235882i −0.00565483 + 0.00979445i
\(581\) 0.0101989i 0.000423124i
\(582\) 0.0581030 + 0.100637i 0.00240844 + 0.00417155i
\(583\) −14.2125 −0.588621
\(584\) 13.2698 + 0.381450i 0.549109 + 0.0157845i
\(585\) −2.74469 −0.113479
\(586\) 5.68829 + 9.85240i 0.234981 + 0.406999i
\(587\) 29.2671i 1.20798i −0.796991 0.603991i \(-0.793576\pi\)
0.796991 0.603991i \(-0.206424\pi\)
\(588\) −0.294718 + 0.510467i −0.0121540 + 0.0210513i
\(589\) 3.43371 + 12.8148i 0.141484 + 0.528024i
\(590\) −0.892324 + 0.515183i −0.0367364 + 0.0212098i
\(591\) 0.613057 0.613057i 0.0252178 0.0252178i
\(592\) −15.5830 −0.640456
\(593\) 3.06062 0.125684 0.0628422 0.998023i \(-0.479984\pi\)
0.0628422 + 0.998023i \(0.479984\pi\)
\(594\) −0.247647 + 0.247647i −0.0101611 + 0.0101611i
\(595\) −0.00402232 + 0.00107778i −0.000164899 + 4.41846e-5i
\(596\) 31.7430 + 18.3269i 1.30025 + 0.750697i
\(597\) −0.262258 + 0.978762i −0.0107335 + 0.0400581i
\(598\) 1.96774 + 0.527253i 0.0804667 + 0.0215610i
\(599\) 23.2776 6.23722i 0.951098 0.254846i 0.250270 0.968176i \(-0.419481\pi\)
0.700828 + 0.713330i \(0.252814\pi\)
\(600\) −0.175031 0.303163i −0.00714561 0.0123766i
\(601\) 17.8867 17.8867i 0.729615 0.729615i −0.240928 0.970543i \(-0.577452\pi\)
0.970543 + 0.240928i \(0.0774518\pi\)
\(602\) 0.00246309 + 0.00426620i 0.000100388 + 0.000173877i
\(603\) −27.0157 + 15.5975i −1.10016 + 0.635180i
\(604\) −18.6951 5.00934i −0.760694 0.203827i
\(605\) −0.234861 0.234861i −0.00954847 0.00954847i
\(606\) −0.138655 0.138655i −0.00563245 0.00563245i
\(607\) −14.2429 8.22311i −0.578099 0.333766i 0.182278 0.983247i \(-0.441653\pi\)
−0.760378 + 0.649481i \(0.774986\pi\)
\(608\) 10.8310i 0.439254i
\(609\) −4.81441e−5 0 2.77960e-5i −1.95090e−6 0 1.12635e-6i
\(610\) 0.814942 0.218363i 0.0329960 0.00884126i
\(611\) 1.37571i 0.0556554i
\(612\) 8.27230 + 30.8727i 0.334388 + 1.24795i
\(613\) −5.79651 + 21.6329i −0.234119 + 0.873744i 0.744425 + 0.667706i \(0.232724\pi\)
−0.978544 + 0.206038i \(0.933943\pi\)
\(614\) −1.57222 1.57222i −0.0634495 0.0634495i
\(615\) −0.0245102 + 0.0914732i −0.000988345 + 0.00368855i
\(616\) 0.00591026 0.0102369i 0.000238131 0.000412455i
\(617\) 9.53638 + 35.5903i 0.383920 + 1.43281i 0.839862 + 0.542800i \(0.182636\pi\)
−0.455941 + 0.890010i \(0.650697\pi\)
\(618\) 0.278558 + 0.0746394i 0.0112052 + 0.00300244i
\(619\) −1.66929 0.963762i −0.0670942 0.0387369i 0.466078 0.884744i \(-0.345667\pi\)
−0.533172 + 0.846007i \(0.679000\pi\)
\(620\) 1.44571 2.50405i 0.0580613 0.100565i
\(621\) −0.223853 + 0.387724i −0.00898290 + 0.0155588i
\(622\) −4.20903 2.43008i −0.168767 0.0974375i
\(623\) 0.0177000 + 0.00474271i 0.000709137 + 0.000190013i
\(624\) 0.111612 + 0.416542i 0.00446806 + 0.0166750i
\(625\) 11.8456 20.5171i 0.473823 0.820685i
\(626\) 1.45430 5.42750i 0.0581253 0.216927i
\(627\) 0.254396 + 0.254396i 0.0101596 + 0.0101596i
\(628\) −6.39857 + 23.8798i −0.255331 + 0.952907i
\(629\) 7.69790 + 28.7289i 0.306935 + 1.14550i
\(630\) 0 0.000870773i 0 3.46924e-5i
\(631\) −43.3997 + 11.6289i −1.72771 + 0.462940i −0.979654 0.200691i \(-0.935681\pi\)
−0.748060 + 0.663631i \(0.769014\pi\)
\(632\) −10.9105 + 6.29919i −0.433997 + 0.250568i
\(633\) 0.791414i 0.0314559i
\(634\) −3.05358 1.76299i −0.121273 0.0700171i
\(635\) −1.72203 1.72203i −0.0683368 0.0683368i
\(636\) 0.269241 + 0.269241i 0.0106761 + 0.0106761i
\(637\) −20.8950 5.59879i −0.827888 0.221832i
\(638\) −0.552112 + 0.318762i −0.0218583 + 0.0126199i
\(639\) −21.6374 37.4771i −0.855963 1.48257i
\(640\) −2.18550 + 2.18550i −0.0863894 + 0.0863894i
\(641\) −6.99372 12.1135i −0.276235 0.478453i 0.694211 0.719772i \(-0.255754\pi\)
−0.970446 + 0.241318i \(0.922420\pi\)
\(642\) 0.266558 0.0714240i 0.0105202 0.00281888i
\(643\) −22.8166 6.11368i −0.899797 0.241100i −0.220868 0.975304i \(-0.570889\pi\)
−0.678929 + 0.734204i \(0.737556\pi\)
\(644\) 0.00187181 0.00698570i 7.37598e−5 0.000275275i
\(645\) 0.0591275 + 0.0341373i 0.00232814 + 0.00134415i
\(646\) −5.67024 + 1.51934i −0.223093 + 0.0597775i
\(647\) −21.6150 + 21.6150i −0.849772 + 0.849772i −0.990104 0.140333i \(-0.955183\pi\)
0.140333 + 0.990104i \(0.455183\pi\)
\(648\) −13.9544 −0.548181
\(649\) 26.9871 1.05934
\(650\) 4.34786 4.34786i 0.170537 0.170537i
\(651\) 0.000511084 0 0.000295074i 2.00309e−5 0 1.15649e-5i
\(652\) 8.24438 + 30.7684i 0.322875 + 1.20498i
\(653\) 16.1508 27.9740i 0.632030 1.09471i −0.355106 0.934826i \(-0.615555\pi\)
0.987136 0.159882i \(-0.0511113\pi\)
\(654\) 0.172773i 0.00675596i
\(655\) 1.49178 + 2.58384i 0.0582887 + 0.100959i
\(656\) −21.2042 −0.827885
\(657\) −25.6035 0.735989i −0.998886 0.0287137i
\(658\) 0.000436455 0 1.70148e−5 0
\(659\) 19.9142 + 34.4925i 0.775749 + 1.34364i 0.934373 + 0.356298i \(0.115961\pi\)
−0.158623 + 0.987339i \(0.550706\pi\)
\(660\) 0.0784098i 0.00305210i
\(661\) −0.889304 + 1.54032i −0.0345899 + 0.0599115i −0.882802 0.469745i \(-0.844346\pi\)
0.848212 + 0.529657i \(0.177679\pi\)
\(662\) 0.121056 + 0.451786i 0.00470496 + 0.0175591i
\(663\) 0.712805 0.411538i 0.0276831 0.0159828i
\(664\) −4.62940 + 4.62940i −0.179655 + 0.179655i
\(665\) −0.00178963 −6.93990e−5
\(666\) −6.21939 −0.240996
\(667\) −0.576270 + 0.576270i −0.0223133 + 0.0223133i
\(668\) 29.9491 8.02483i 1.15876 0.310490i
\(669\) 1.02951 + 0.594389i 0.0398032 + 0.0229804i
\(670\) −0.323187 + 1.20615i −0.0124858 + 0.0465977i
\(671\) −21.3448 5.71932i −0.824006 0.220792i
\(672\) −0.000465377 0 0.000124697i −1.79523e−5 0 4.81031e-6i
\(673\) −1.88314 3.26169i −0.0725896 0.125729i 0.827446 0.561545i \(-0.189793\pi\)
−0.900036 + 0.435816i \(0.856460\pi\)
\(674\) −3.48192 + 3.48192i −0.134118 + 0.134118i
\(675\) 0.675664 + 1.17028i 0.0260063 + 0.0450443i
\(676\) 5.48549 3.16705i 0.210980 0.121809i
\(677\) −10.7289 2.87481i −0.412346 0.110488i 0.0466815 0.998910i \(-0.485135\pi\)
−0.459028 + 0.888422i \(0.651802\pi\)
\(678\) −0.255820 0.255820i −0.00982470 0.00982470i
\(679\) 0.0107057 + 0.0107057i 0.000410849 + 0.000410849i
\(680\) 2.31498 + 1.33656i 0.0887755 + 0.0512546i
\(681\) 0.731848i 0.0280445i
\(682\) 5.86106 3.38388i 0.224431 0.129576i
\(683\) 36.6691 9.82547i 1.40311 0.375961i 0.523647 0.851935i \(-0.324571\pi\)
0.879459 + 0.475974i \(0.157904\pi\)
\(684\) 13.7360i 0.525211i
\(685\) 0.244927 + 0.914081i 0.00935819 + 0.0349253i
\(686\) 0.00355251 0.0132582i 0.000135636 0.000506199i
\(687\) −0.441479 0.441479i −0.0168435 0.0168435i
\(688\) −3.95664 + 14.7664i −0.150846 + 0.562963i
\(689\) −6.98693 + 12.1017i −0.266181 + 0.461039i
\(690\) 0.00231835 + 0.00865220i 8.82581e−5 + 0.000329384i
\(691\) −3.33042 0.892383i −0.126695 0.0339479i 0.194914 0.980820i \(-0.437557\pi\)
−0.321609 + 0.946872i \(0.604224\pi\)
\(692\) −21.3115 12.3042i −0.810143 0.467736i
\(693\) −0.0114035 + 0.0197515i −0.000433185 + 0.000750298i
\(694\) 4.84147 8.38567i 0.183780 0.318316i
\(695\) −4.08769 2.36003i −0.155055 0.0895209i
\(696\) 0.0344699 + 0.00923619i 0.00130658 + 0.000350097i
\(697\) 10.4747 + 39.0923i 0.396759 + 1.48073i
\(698\) −4.38168 + 7.58929i −0.165849 + 0.287259i
\(699\) 0.0548115 0.204559i 0.00207316 0.00773715i
\(700\) −0.0154354 0.0154354i −0.000583405 0.000583405i
\(701\) 10.0443 37.4859i 0.379368 1.41582i −0.467487 0.884000i \(-0.654841\pi\)
0.846856 0.531823i \(-0.178493\pi\)
\(702\) 0.0891232 + 0.332612i 0.00336374 + 0.0125536i
\(703\) 12.7822i 0.482091i
\(704\) 13.1370 3.52006i 0.495121 0.132667i
\(705\) 0.00523863 0.00302453i 0.000197298 0.000113910i
\(706\) 3.43789i 0.129387i
\(707\) −0.0221250 0.0127739i −0.000832096 0.000480411i
\(708\) −0.511243 0.511243i −0.0192137 0.0192137i
\(709\) −16.8085 16.8085i −0.631258 0.631258i 0.317126 0.948384i \(-0.397282\pi\)
−0.948384 + 0.317126i \(0.897282\pi\)
\(710\) −1.67321 0.448336i −0.0627946 0.0168258i
\(711\) 21.0513 12.1540i 0.789485 0.455809i
\(712\) −5.88145 10.1870i −0.220417 0.381773i
\(713\) 6.11751 6.11751i 0.229102 0.229102i
\(714\) 0.000130563 0 0.000226143i 4.88622e−6 0 8.46317e-6i
\(715\) 2.77955 0.744778i 0.103949 0.0278531i
\(716\) 17.0578 + 4.57061i 0.637479 + 0.170812i
\(717\) −0.314639 + 1.17425i −0.0117504 + 0.0438531i
\(718\) 1.14136 + 0.658963i 0.0425951 + 0.0245923i
\(719\) −12.3093 + 3.29826i −0.459059 + 0.123004i −0.480935 0.876756i \(-0.659703\pi\)
0.0218762 + 0.999761i \(0.493036\pi\)
\(720\) 1.91078 1.91078i 0.0712105 0.0712105i
\(721\) 0.0375730 0.00139929
\(722\) 5.17318 0.192526
\(723\) 0.0216019 0.0216019i 0.000803383 0.000803383i
\(724\) 22.0700 12.7421i 0.820225 0.473557i
\(725\) 0.636656 + 2.37603i 0.0236448 + 0.0882437i
\(726\) −0.0104139 + 0.0180375i −0.000386498 + 0.000669433i
\(727\) 24.4378i 0.906347i 0.891422 + 0.453173i \(0.149708\pi\)
−0.891422 + 0.453173i \(0.850292\pi\)
\(728\) −0.00581102 0.0100650i −0.000215371 0.000373033i
\(729\) 26.8865 0.995795
\(730\) −0.745528 + 0.703864i −0.0275932 + 0.0260512i
\(731\) 29.1780 1.07919
\(732\) 0.296008 + 0.512701i 0.0109408 + 0.0189500i
\(733\) 23.9427i 0.884344i −0.896930 0.442172i \(-0.854208\pi\)
0.896930 0.442172i \(-0.145792\pi\)
\(734\) −5.27712 + 9.14024i −0.194782 + 0.337372i
\(735\) −0.0246181 0.0918758i −0.000908051 0.00338889i
\(736\) −6.11674 + 3.53150i −0.225466 + 0.130173i
\(737\) 23.1264 23.1264i 0.851872 0.851872i
\(738\) −8.46290 −0.311524
\(739\) 11.9853 0.440887 0.220443 0.975400i \(-0.429250\pi\)
0.220443 + 0.975400i \(0.429250\pi\)
\(740\) 1.96987 1.96987i 0.0724137 0.0724137i
\(741\) 0.341677 0.0915520i 0.0125518 0.00336325i
\(742\) −0.00383936 0.00221665i −0.000140947 8.13759e-5i
\(743\) −4.22677 + 15.7745i −0.155065 + 0.578711i 0.844035 + 0.536289i \(0.180174\pi\)
−0.999100 + 0.0424222i \(0.986493\pi\)
\(744\) −0.365922 0.0980486i −0.0134154 0.00359464i
\(745\) −5.71323 + 1.53086i −0.209317 + 0.0560862i
\(746\) −4.46155 7.72762i −0.163349 0.282928i
\(747\) 8.93219 8.93219i 0.326812 0.326812i
\(748\) −16.7547 29.0201i −0.612614 1.06108i
\(749\) 0.0311374 0.0179772i 0.00113774 0.000656872i
\(750\) 0.0526972 + 0.0141202i 0.00192423 + 0.000515595i
\(751\) −20.0762 20.0762i −0.732590 0.732590i 0.238542 0.971132i \(-0.423331\pi\)
−0.971132 + 0.238542i \(0.923331\pi\)
\(752\) 0.957733 + 0.957733i 0.0349249 + 0.0349249i
\(753\) −1.07892 0.622917i −0.0393182 0.0227004i
\(754\) 0.626820i 0.0228274i
\(755\) 2.70480 1.56162i 0.0984378 0.0568331i
\(756\) 0.00118081 0.000316398i 4.29458e−5 1.15073e-5i
\(757\) 40.3791i 1.46760i 0.679364 + 0.733801i \(0.262256\pi\)
−0.679364 + 0.733801i \(0.737744\pi\)
\(758\) −2.68339 10.0146i −0.0974653 0.363745i
\(759\) 0.0607217 0.226616i 0.00220406 0.00822566i
\(760\) 0.812331 + 0.812331i 0.0294664 + 0.0294664i
\(761\) 8.77133 32.7350i 0.317960 1.18664i −0.603241 0.797559i \(-0.706124\pi\)
0.921202 0.389086i \(-0.127209\pi\)
\(762\) −0.0763564 + 0.132253i −0.00276610 + 0.00479103i
\(763\) −0.00582607 0.0217432i −0.000210918 0.000787156i
\(764\) −5.35447 1.43473i −0.193718 0.0519066i
\(765\) −4.46664 2.57882i −0.161492 0.0932373i
\(766\) 1.86048 3.22244i 0.0672217 0.116431i
\(767\) 13.2670 22.9791i 0.479044 0.829728i
\(768\) −0.175903 0.101558i −0.00634736 0.00366465i
\(769\) 4.67676 + 1.25314i 0.168648 + 0.0451892i 0.342155 0.939643i \(-0.388843\pi\)
−0.173507 + 0.984833i \(0.555510\pi\)
\(770\) 0.000236286 0 0.000881832i 8.51516e−6 0 3.17790e-5i
\(771\) 0.560881 0.971475i 0.0201996 0.0349868i
\(772\) −1.32004 + 4.92646i −0.0475093 + 0.177307i
\(773\) −12.6224 12.6224i −0.453995 0.453995i 0.442683 0.896678i \(-0.354027\pi\)
−0.896678 + 0.442683i \(0.854027\pi\)
\(774\) −1.57915 + 5.89348i −0.0567614 + 0.211837i
\(775\) −6.75855 25.2233i −0.242774 0.906047i
\(776\) 9.71887i 0.348887i
\(777\) 0.000549218 0 0.000147162i 1.97031e−5 0 5.27942e-6i
\(778\) 6.66058 3.84549i 0.238793 0.137867i
\(779\) 17.3932i 0.623175i
\(780\) −0.0667647 0.0385466i −0.00239056 0.00138019i
\(781\) 32.0817 + 32.0817i 1.14797 + 1.14797i
\(782\) 2.70686 + 2.70686i 0.0967969 + 0.0967969i
\(783\) −0.133063 0.0356540i −0.00475527 0.00127417i
\(784\) 18.4442 10.6488i 0.658722 0.380313i
\(785\) −1.99470 3.45491i −0.0711937 0.123311i
\(786\) 0.132294 0.132294i 0.00471876 0.00471876i
\(787\) −2.52752 4.37779i −0.0900962 0.156051i 0.817455 0.575992i \(-0.195384\pi\)
−0.907551 + 0.419941i \(0.862051\pi\)
\(788\) −33.5222 + 8.98225i −1.19418 + 0.319980i
\(789\) 0.427201 + 0.114468i 0.0152087 + 0.00407517i
\(790\) 0.251835 0.939862i 0.00895990 0.0334388i
\(791\) −0.0408210 0.0235680i −0.00145143 0.000837982i
\(792\) 14.1416 3.78922i 0.502499 0.134644i
\(793\) −15.3631 + 15.3631i −0.545560 + 0.545560i
\(794\) 0.859047 0.0304864
\(795\) −0.0614435 −0.00217918
\(796\) 28.6808 28.6808i 1.01656 1.01656i
\(797\) −7.56961 + 4.37031i −0.268129 + 0.154804i −0.628037 0.778183i \(-0.716141\pi\)
0.359908 + 0.932988i \(0.382808\pi\)
\(798\) 2.90455e−5 0 0.000108399i 1.02820e−6 0 3.83730e-6i
\(799\) 1.29257 2.23880i 0.0457279 0.0792030i
\(800\) 21.3185i 0.753724i
\(801\) 11.3480 + 19.6552i 0.400961 + 0.694484i
\(802\) −2.67029 −0.0942913
\(803\) 26.1284 6.20222i 0.922050 0.218872i
\(804\) −0.876211 −0.0309016
\(805\) 0.000583521 0.00101069i 2.05664e−5 3.56221e-5i
\(806\) 6.65413i 0.234382i
\(807\) 0.209000 0.361999i 0.00735715 0.0127430i
\(808\) 4.24456 + 15.8409i 0.149323 + 0.557282i
\(809\) −42.2190 + 24.3752i −1.48434 + 0.856985i −0.999841 0.0178068i \(-0.994332\pi\)
−0.484500 + 0.874791i \(0.660998\pi\)
\(810\) 0.762083 0.762083i 0.0267769 0.0267769i
\(811\) −10.9325 −0.383892 −0.191946 0.981405i \(-0.561480\pi\)
−0.191946 + 0.981405i \(0.561480\pi\)
\(812\) 0.00222529 7.80923e−5
\(813\) −0.823951 + 0.823951i −0.0288972 + 0.0288972i
\(814\) 6.29838 1.68765i 0.220758 0.0591519i
\(815\) −4.45156 2.57011i −0.155931 0.0900271i
\(816\) −0.209734 + 0.782737i −0.00734215 + 0.0274013i
\(817\) 12.1124 + 3.24551i 0.423760 + 0.113546i
\(818\) 4.62042 1.23804i 0.161549 0.0432870i
\(819\) 0.0112121 + 0.0194199i 0.000391781 + 0.000678585i
\(820\) 2.68045 2.68045i 0.0936055 0.0936055i
\(821\) 19.7151 + 34.1475i 0.688061 + 1.19176i 0.972464 + 0.233052i \(0.0748714\pi\)
−0.284403 + 0.958705i \(0.591795\pi\)
\(822\) 0.0513914 0.0296708i 0.00179248 0.00103489i
\(823\) 17.7573 + 4.75806i 0.618981 + 0.165855i 0.554664 0.832074i \(-0.312847\pi\)
0.0643164 + 0.997930i \(0.479513\pi\)
\(824\) −17.0547 17.0547i −0.594129 0.594129i
\(825\) −0.500727 0.500727i −0.0174331 0.0174331i
\(826\) 0.00729029 + 0.00420905i 0.000253662 + 0.000146452i
\(827\) 9.02943i 0.313984i 0.987600 + 0.156992i \(0.0501797\pi\)
−0.987600 + 0.156992i \(0.949820\pi\)
\(828\) 7.75737 4.47872i 0.269587 0.155646i
\(829\) 11.0662 2.96517i 0.384344 0.102985i −0.0614729 0.998109i \(-0.519580\pi\)
0.445817 + 0.895124i \(0.352913\pi\)
\(830\) 0.505644i 0.0175512i
\(831\) 0.252458 + 0.942186i 0.00875767 + 0.0326841i
\(832\) 3.46096 12.9165i 0.119987 0.447798i
\(833\) −28.7435 28.7435i −0.995904 0.995904i
\(834\) −0.0766058 + 0.285897i −0.00265264 + 0.00989980i
\(835\) −2.50167 + 4.33302i −0.0865738 + 0.149950i
\(836\) −3.72731 13.9105i −0.128912 0.481105i
\(837\) 1.41255 + 0.378493i 0.0488250 + 0.0130826i
\(838\) 1.73622 + 1.00241i 0.0599768 + 0.0346276i
\(839\) −27.4319 + 47.5134i −0.947054 + 1.64035i −0.195469 + 0.980710i \(0.562623\pi\)
−0.751585 + 0.659636i \(0.770710\pi\)
\(840\) 2.55513e−5 0 4.42561e-5i 8.81602e−7 0 1.52698e-6i
\(841\) 24.8976 + 14.3746i 0.858537 + 0.495677i
\(842\) −5.11074 1.36942i −0.176128 0.0471933i
\(843\) −0.261262 0.975043i −0.00899834 0.0335823i
\(844\) −15.8397 + 27.4352i −0.545225 + 0.944357i
\(845\) −0.264546 + 0.987298i −0.00910065 + 0.0339641i
\(846\) 0.382245 + 0.382245i 0.0131418 + 0.0131418i
\(847\) −0.000702336 0.00262115i −2.41326e−5 9.00639e-5i
\(848\) −3.56077 13.2890i −0.122277 0.456346i
\(849\) 1.11840i 0.0383835i
\(850\) 11.1607 2.99050i 0.382809 0.102573i
\(851\) 7.21871 4.16773i 0.247454 0.142868i
\(852\) 1.21551i 0.0416427i
\(853\) −22.5594 13.0247i −0.772420 0.445957i 0.0613174 0.998118i \(-0.480470\pi\)
−0.833737 + 0.552162i \(0.813803\pi\)
\(854\) −0.00487405 0.00487405i −0.000166787 0.000166787i
\(855\) −1.56735 1.56735i −0.0536023 0.0536023i
\(856\) −22.2936 5.97355i −0.761979 0.204172i
\(857\) −23.8922 + 13.7942i −0.816143 + 0.471200i −0.849084 0.528257i \(-0.822846\pi\)
0.0329418 + 0.999457i \(0.489512\pi\)
\(858\) −0.0902235 0.156272i −0.00308018 0.00533503i
\(859\) 21.4071 21.4071i 0.730399 0.730399i −0.240299 0.970699i \(-0.577246\pi\)
0.970699 + 0.240299i \(0.0772456\pi\)
\(860\) −1.36648 2.36681i −0.0465964 0.0807074i
\(861\) 0.000747337 0 0.000200248i 2.54692e−5 0 6.82444e-6i
\(862\) 8.72344 + 2.33744i 0.297121 + 0.0796134i
\(863\) −13.2457 + 49.4336i −0.450888 + 1.68274i 0.249014 + 0.968500i \(0.419893\pi\)
−0.699903 + 0.714238i \(0.746773\pi\)
\(864\) −1.03393 0.596941i −0.0351751 0.0203083i
\(865\) 3.83573 1.02778i 0.130419 0.0349456i
\(866\) −2.62595 + 2.62595i −0.0892334 + 0.0892334i
\(867\) 0.766961 0.0260474
\(868\) −0.0236230 −0.000801816
\(869\) −18.0206 + 18.0206i −0.611308 + 0.611308i
\(870\) −0.00238689 + 0.00137807i −8.09233e−5 + 4.67211e-5i
\(871\) −8.32272 31.0608i −0.282005 1.05246i
\(872\) −7.22493 + 12.5139i −0.244667 + 0.423776i
\(873\) 18.7521i 0.634662i
\(874\) 0.822586 + 1.42476i 0.0278244 + 0.0481932i
\(875\) 0.00710800 0.000240294
\(876\) −0.612469 0.377480i −0.0206934 0.0127539i
\(877\) 12.4422 0.420143 0.210072 0.977686i \(-0.432630\pi\)
0.210072 + 0.977686i \(0.432630\pi\)
\(878\) 2.89304 + 5.01090i 0.0976355 + 0.169110i
\(879\) 1.28820i 0.0434498i
\(880\) −1.41655 + 2.45354i −0.0477520 + 0.0827088i
\(881\) −3.24445 12.1085i −0.109308 0.407944i 0.889490 0.456955i \(-0.151060\pi\)
−0.998798 + 0.0490104i \(0.984393\pi\)
\(882\) 7.36135 4.25008i 0.247869 0.143107i
\(883\) 3.81599 3.81599i 0.128418 0.128418i −0.639976 0.768395i \(-0.721056\pi\)
0.768395 + 0.639976i \(0.221056\pi\)
\(884\) −32.9468 −1.10812
\(885\) 0.116671 0.00392185
\(886\) −2.42439 + 2.42439i −0.0814489 + 0.0814489i
\(887\) −40.5719 + 10.8712i −1.36227 + 0.365020i −0.864650 0.502374i \(-0.832460\pi\)
−0.497622 + 0.867394i \(0.665793\pi\)
\(888\) −0.316093 0.182497i −0.0106074 0.00612419i
\(889\) −0.00514962 + 0.0192187i −0.000172713 + 0.000644573i
\(890\) 0.877534 + 0.235135i 0.0294150 + 0.00788173i
\(891\) −27.2663 + 7.30598i −0.913455 + 0.244759i
\(892\) −23.7927 41.2102i −0.796639 1.37982i
\(893\) 0.785599 0.785599i 0.0262891 0.0262891i
\(894\) 0.185450 + 0.321209i 0.00620237 + 0.0107428i
\(895\) −2.46791 + 1.42485i −0.0824931 + 0.0476274i
\(896\) 0.0243911 + 0.00653558i 0.000814850 + 0.000218338i
\(897\) −0.163109 0.163109i −0.00544606 0.00544606i
\(898\) 4.62753 + 4.62753i 0.154423 + 0.154423i
\(899\) 2.30537 + 1.33100i 0.0768883 + 0.0443915i
\(900\) 27.0366i 0.901219i
\(901\) −22.7407 + 13.1294i −0.757603 + 0.437402i
\(902\) 8.57038 2.29643i 0.285363 0.0764627i
\(903\) 0 0.000557803i 0 1.85625e-5i
\(904\) 7.83129 + 29.2268i 0.260465 + 0.972067i
\(905\) −1.06436 + 3.97224i −0.0353805 + 0.132042i
\(906\) −0.138487 0.138487i −0.00460092 0.00460092i
\(907\) −7.53191 + 28.1095i −0.250093 + 0.933360i 0.720662 + 0.693287i \(0.243838\pi\)
−0.970755 + 0.240073i \(0.922829\pi\)
\(908\) 14.6475 25.3703i 0.486096 0.841942i
\(909\) −8.18967 30.5643i −0.271634 1.01375i
\(910\) 0.000867026 0 0.000232319i 2.87416e−5 0 7.70130e-6i
\(911\) −7.71369 4.45350i −0.255566 0.147551i 0.366744 0.930322i \(-0.380472\pi\)
−0.622310 + 0.782771i \(0.713806\pi\)
\(912\) −0.174130 + 0.301602i −0.00576602 + 0.00998703i
\(913\) −6.62186 + 11.4694i −0.219152 + 0.379582i
\(914\) −0.295008 0.170323i −0.00975799 0.00563378i
\(915\) −0.0922778 0.0247258i −0.00305061 0.000817409i
\(916\) 6.46836 + 24.1403i 0.213721 + 0.797616i
\(917\) 0.0121879 0.0211100i 0.000402479 0.000697113i
\(918\) −0.167474 + 0.625022i −0.00552747 + 0.0206288i
\(919\) 11.8202 + 11.8202i 0.389911 + 0.389911i 0.874656 0.484745i \(-0.161087\pi\)
−0.484745 + 0.874656i \(0.661087\pi\)
\(920\) 0.193895 0.723626i 0.00639253 0.0238572i
\(921\) 0.0651620 + 0.243188i 0.00214716 + 0.00801331i
\(922\) 1.38614i 0.0456500i
\(923\) 43.0886 11.5456i 1.41828 0.380027i
\(924\) −0.000554783 0 0.000320304i −1.82510e−5 0 1.05372e-5i
\(925\) 25.1592i 0.827230i
\(926\) 8.24103 + 4.75796i 0.270817 + 0.156356i
\(927\) 32.9062 + 32.9062i 1.08078 + 1.08078i
\(928\) −1.53672 1.53672i −0.0504453 0.0504453i
\(929\) −37.1879 9.96447i −1.22010 0.326924i −0.409380 0.912364i \(-0.634255\pi\)
−0.810716 + 0.585440i \(0.800922\pi\)
\(930\) 0.0253386 0.0146292i 0.000830884 0.000479711i
\(931\) −8.73486 15.1292i −0.286274 0.495840i
\(932\) −5.99424 + 5.99424i −0.196348 + 0.196348i
\(933\) 0.275164 + 0.476598i 0.00900847 + 0.0156031i
\(934\) −13.3123 + 3.56703i −0.435593 + 0.116717i
\(935\) 5.22314 + 1.39954i 0.170815 + 0.0457697i
\(936\) 3.72560 13.9041i 0.121775 0.454471i
\(937\) −39.7338 22.9403i −1.29805 0.749427i −0.317979 0.948098i \(-0.603004\pi\)
−0.980066 + 0.198671i \(0.936338\pi\)
\(938\) 0.00985427 0.00264044i 0.000321753 8.62135e-5i
\(939\) −0.449896 + 0.449896i −0.0146818 + 0.0146818i
\(940\) −0.242137 −0.00789763
\(941\) 29.5841 0.964415 0.482207 0.876057i \(-0.339835\pi\)
0.482207 + 0.876057i \(0.339835\pi\)
\(942\) −0.176893 + 0.176893i −0.00576348 + 0.00576348i
\(943\) 9.82271 5.67114i 0.319871 0.184678i
\(944\) 6.76131 + 25.2336i 0.220062 + 0.821282i
\(945\) −9.86343e−5 0 0.000170840i −3.20857e−6 0 5.55741e-6i
\(946\) 6.39683i 0.207979i
\(947\) 26.8868 + 46.5693i 0.873704 + 1.51330i 0.858137 + 0.513421i \(0.171622\pi\)
0.0155669 + 0.999879i \(0.495045\pi\)
\(948\) 0.682764 0.0221752
\(949\) 7.56373 25.2969i 0.245529 0.821173i
\(950\) 4.96569 0.161108
\(951\) 0.199627 + 0.345764i 0.00647335 + 0.0112122i
\(952\) 0.0218393i 0.000707817i
\(953\) −14.2341 + 24.6542i −0.461089 + 0.798629i −0.999015 0.0443626i \(-0.985874\pi\)
0.537927 + 0.842991i \(0.319208\pi\)
\(954\) −1.42116 5.30382i −0.0460116 0.171718i
\(955\) 0.774682 0.447263i 0.0250681 0.0144731i
\(956\) 34.4092 34.4092i 1.11287 1.11287i
\(957\) 0.0721884 0.00233352
\(958\) 7.74415 0.250202
\(959\) 0.00546699 0.00546699i 0.000176538 0.000176538i
\(960\) 0.0567941 0.0152179i 0.00183302 0.000491157i
\(961\) 2.37371 + 1.37046i 0.0765711 + 0.0442084i
\(962\) 1.65931 6.19263i 0.0534983 0.199658i
\(963\) 43.0143 + 11.5257i 1.38612 + 0.371409i
\(964\) −1.18120 + 0.316502i −0.0380439 + 0.0101938i
\(965\) −0.411510 0.712757i −0.0132470 0.0229445i
\(966\) 5.17476e−5 0 5.17476e-5i 1.66495e−6 0 1.66495e-6i
\(967\) 21.1744 + 36.6752i 0.680924 + 1.17939i 0.974699 + 0.223520i \(0.0717549\pi\)
−0.293775 + 0.955874i \(0.594912\pi\)
\(968\) 1.50856 0.870969i 0.0484871 0.0279940i
\(969\) 0.642055 + 0.172038i 0.0206258 + 0.00552666i
\(970\) 0.530771 + 0.530771i 0.0170420 + 0.0170420i
\(971\) −4.48182 4.48182i −0.143829 0.143829i 0.631526 0.775355i \(-0.282429\pi\)
−0.775355 + 0.631526i \(0.782429\pi\)
\(972\) 1.96711 + 1.13571i 0.0630950 + 0.0364279i
\(973\) 0.0385629i 0.00123627i
\(974\) −12.0712 + 6.96929i −0.386785 + 0.223310i
\(975\) −0.672521 + 0.180201i −0.0215379 + 0.00577106i
\(976\) 21.3907i 0.684701i
\(977\) 2.24290 + 8.37061i 0.0717567 + 0.267800i 0.992478 0.122420i \(-0.0390656\pi\)
−0.920722 + 0.390220i \(0.872399\pi\)
\(978\) −0.0834251 + 0.311347i −0.00266764 + 0.00995577i
\(979\) −16.8256 16.8256i −0.537748 0.537748i
\(980\) −0.985433 + 3.67769i −0.0314785 + 0.117479i
\(981\) 13.9401 24.1450i 0.445074 0.770891i
\(982\) −0.643492 2.40155i −0.0205347 0.0766364i
\(983\) −48.5077 12.9976i −1.54716 0.414559i −0.618586 0.785717i \(-0.712294\pi\)
−0.928570 + 0.371158i \(0.878961\pi\)
\(984\) −0.430117 0.248328i −0.0137116 0.00791642i
\(985\) 2.80014 4.84998i 0.0892198 0.154533i
\(986\) −0.588938 + 1.02007i −0.0187556 + 0.0324857i
\(987\) −4.27997e−5 0 2.47104e-5i −1.36233e−6 0 7.86541e-7i
\(988\) −13.6769 3.66472i −0.435121 0.116590i
\(989\) −2.11644 7.89865i −0.0672988 0.251163i
\(990\) −0.565366 + 0.979243i −0.0179685 + 0.0311224i
\(991\) 3.32086 12.3936i 0.105490 0.393696i −0.892910 0.450235i \(-0.851340\pi\)
0.998400 + 0.0565396i \(0.0180067\pi\)
\(992\) 16.3133 + 16.3133i 0.517949 + 0.517949i
\(993\) 0.0137074 0.0511568i 0.000434992 0.00162341i
\(994\) 0.00366291 + 0.0136702i 0.000116180 + 0.000433591i
\(995\) 6.54526i 0.207499i
\(996\) 0.342720 0.0918316i 0.0108595 0.00290979i
\(997\) −26.5479 + 15.3275i −0.840782 + 0.485425i −0.857530 0.514434i \(-0.828002\pi\)
0.0167482 + 0.999860i \(0.494669\pi\)
\(998\) 8.95456i 0.283452i
\(999\) 1.22020 + 0.704483i 0.0386054 + 0.0222889i
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 73.2.h.a.24.3 20
3.2 odd 2 657.2.be.c.316.3 20
73.17 odd 24 5329.2.a.m.1.9 20
73.56 odd 24 5329.2.a.m.1.10 20
73.70 even 12 inner 73.2.h.a.70.3 yes 20
219.143 odd 12 657.2.be.c.289.3 20
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
73.2.h.a.24.3 20 1.1 even 1 trivial
73.2.h.a.70.3 yes 20 73.70 even 12 inner
657.2.be.c.289.3 20 219.143 odd 12
657.2.be.c.316.3 20 3.2 odd 2
5329.2.a.m.1.9 20 73.17 odd 24
5329.2.a.m.1.10 20 73.56 odd 24