Properties

Label 151.2.k.a.37.8
Level $151$
Weight $2$
Character 151.37
Analytic conductor $1.206$
Analytic rank $0$
Dimension $480$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [151,2,Mod(5,151)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(151, base_ring=CyclotomicField(150))
 
chi = DirichletCharacter(H, H._module([112]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("151.5");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 151 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 151.k (of order \(75\), degree \(40\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(1.20574107052\)
Analytic rank: \(0\)
Dimension: \(480\)
Relative dimension: \(12\) over \(\Q(\zeta_{75})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{75}]$

Embedding invariants

Embedding label 37.8
Character \(\chi\) \(=\) 151.37
Dual form 151.2.k.a.49.8

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.133863 + 1.27363i) q^{2} +(-0.996330 + 2.11731i) q^{3} +(0.352092 - 0.0748394i) q^{4} +(-2.20367 + 0.372723i) q^{5} +(-2.83003 - 0.985521i) q^{6} +(-0.544697 - 0.270390i) q^{7} +(0.933930 + 2.87434i) q^{8} +(-1.57805 - 1.90754i) q^{9} +O(q^{10})\) \(q+(0.133863 + 1.27363i) q^{2} +(-0.996330 + 2.11731i) q^{3} +(0.352092 - 0.0748394i) q^{4} +(-2.20367 + 0.372723i) q^{5} +(-2.83003 - 0.985521i) q^{6} +(-0.544697 - 0.270390i) q^{7} +(0.933930 + 2.87434i) q^{8} +(-1.57805 - 1.90754i) q^{9} +(-0.769700 - 2.75675i) q^{10} +(0.688662 + 0.0578285i) q^{11} +(-0.192341 + 0.820051i) q^{12} +(-0.601262 - 1.43035i) q^{13} +(0.271461 - 0.729936i) q^{14} +(1.40641 - 5.03720i) q^{15} +(-2.87814 + 1.28143i) q^{16} +(2.17650 + 1.44607i) q^{17} +(2.21824 - 2.26520i) q^{18} +(0.383374 - 1.17990i) q^{19} +(-0.747999 + 0.296154i) q^{20} +(1.11520 - 0.883895i) q^{21} +(0.0185347 + 0.884839i) q^{22} +(6.16662 + 6.84873i) q^{23} +(-7.01637 - 0.886373i) q^{24} +(-0.00465231 + 0.00162011i) q^{25} +(1.74124 - 0.957254i) q^{26} +(-1.18840 + 0.305128i) q^{27} +(-0.212019 - 0.0544373i) q^{28} +(1.22714 + 0.674625i) q^{29} +(6.60377 + 1.11694i) q^{30} +(7.37203 - 0.308980i) q^{31} +(1.00492 + 1.74057i) q^{32} +(-0.808575 + 1.40049i) q^{33} +(-1.55039 + 2.96563i) q^{34} +(1.30111 + 0.392829i) q^{35} +(-0.698377 - 0.553527i) q^{36} +(-0.147264 + 0.194014i) q^{37} +(1.55407 + 0.330329i) q^{38} +(3.62754 + 0.152039i) q^{39} +(-3.12940 - 5.98599i) q^{40} +(-1.38898 - 7.28131i) q^{41} +(1.27504 + 1.30202i) q^{42} +(8.89829 - 4.41715i) q^{43} +(0.246800 - 0.0311781i) q^{44} +(4.18848 + 3.61540i) q^{45} +(-7.89724 + 8.77077i) q^{46} +(1.62961 - 1.40665i) q^{47} +(0.154393 - 7.37063i) q^{48} +(-4.00861 - 5.28115i) q^{49} +(-0.00268618 - 0.00570843i) q^{50} +(-5.23028 + 3.16757i) q^{51} +(-0.318745 - 0.458615i) q^{52} +(-6.29379 + 5.91027i) q^{53} +(-0.547702 - 1.47273i) q^{54} +(-1.53914 + 0.129245i) q^{55} +(0.268484 - 1.81817i) q^{56} +(2.11625 + 1.98729i) q^{57} +(-0.694951 + 1.65322i) q^{58} +(-6.04681 - 4.39326i) q^{59} +(0.118205 - 1.87881i) q^{60} +(-1.54174 + 2.21828i) q^{61} +(1.38037 + 9.34785i) q^{62} +(0.343781 + 1.46572i) q^{63} +(-7.17996 + 5.21654i) q^{64} +(1.85810 + 2.92790i) q^{65} +(-1.89194 - 0.842347i) q^{66} +(9.31019 - 11.2541i) q^{67} +(0.874552 + 0.346260i) q^{68} +(-20.6449 + 6.23305i) q^{69} +(-0.326146 + 1.70972i) q^{70} +(5.77065 - 3.83401i) q^{71} +(4.00912 - 6.31736i) q^{72} +(-0.151468 - 2.40751i) q^{73} +(-0.266814 - 0.161588i) q^{74} +(0.00120497 - 0.0114645i) q^{75} +(0.0466795 - 0.444126i) q^{76} +(-0.359476 - 0.217706i) q^{77} +(0.291954 + 4.64048i) q^{78} +(1.79354 - 2.82616i) q^{79} +(5.86484 - 3.89659i) q^{80} +(1.92967 - 10.1157i) q^{81} +(9.08773 - 2.74375i) q^{82} +(-15.5723 - 6.16551i) q^{83} +(0.326502 - 0.394673i) q^{84} +(-5.33527 - 2.37542i) q^{85} +(6.81695 + 10.7418i) q^{86} +(-2.65102 + 1.92608i) q^{87} +(0.476943 + 2.03346i) q^{88} +(1.86404 + 12.6233i) q^{89} +(-4.04398 + 5.81853i) q^{90} +(-0.0592455 + 0.941681i) q^{91} +(2.68377 + 1.94987i) q^{92} +(-6.69077 + 15.9167i) q^{93} +(2.00969 + 1.88722i) q^{94} +(-0.405052 + 2.74301i) q^{95} +(-4.68656 + 0.393541i) q^{96} +(1.63461 + 4.39533i) q^{97} +(6.18960 - 5.81242i) q^{98} +(-0.976433 - 1.40490i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 480 q - 45 q^{2} - 40 q^{3} + 15 q^{4} - 40 q^{5} - 60 q^{6} - 40 q^{7} - 50 q^{8} - 40 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 480 q - 45 q^{2} - 40 q^{3} + 15 q^{4} - 40 q^{5} - 60 q^{6} - 40 q^{7} - 50 q^{8} - 40 q^{9} - 10 q^{10} - 50 q^{11} - 65 q^{12} - 40 q^{13} - 65 q^{14} + 25 q^{16} - 20 q^{17} - 15 q^{18} - 30 q^{19} + 70 q^{20} - 40 q^{21} - 65 q^{23} + 80 q^{24} + 20 q^{25} - 65 q^{26} + 5 q^{27} - 110 q^{28} - 75 q^{29} - 135 q^{30} - 45 q^{31} + 10 q^{32} + 40 q^{33} + 20 q^{34} - 10 q^{36} - 60 q^{37} - 70 q^{38} + 25 q^{39} - 50 q^{41} + 50 q^{42} - 50 q^{43} - 30 q^{44} + 10 q^{45} - 85 q^{46} + 30 q^{47} + 175 q^{48} - 50 q^{49} + 10 q^{50} + 80 q^{51} - 145 q^{52} + 95 q^{53} + 10 q^{54} + 70 q^{55} + 140 q^{56} - 70 q^{57} + 240 q^{58} - 30 q^{59} - 60 q^{60} - 60 q^{61} + 10 q^{62} + 90 q^{63} - 160 q^{64} + 45 q^{65} - 55 q^{66} - 10 q^{67} + 10 q^{68} - 105 q^{69} + 75 q^{70} - 25 q^{71} + 310 q^{72} + 40 q^{73} + 170 q^{74} - 80 q^{75} - 15 q^{76} + 45 q^{77} - 80 q^{78} + 160 q^{79} - 85 q^{80} + 160 q^{81} - 50 q^{82} - 5 q^{83} + 70 q^{84} - 85 q^{85} + 150 q^{86} + 10 q^{87} + 95 q^{88} - 50 q^{89} - 90 q^{90} + 270 q^{91} + 90 q^{92} + 100 q^{93} - 35 q^{94} + 60 q^{95} + 255 q^{96} + 210 q^{97} - 30 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/151\mathbb{Z}\right)^\times\).

\(n\) \(6\)
\(\chi(n)\) \(e\left(\frac{8}{75}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.133863 + 1.27363i 0.0946558 + 0.900590i 0.934068 + 0.357095i \(0.116233\pi\)
−0.839412 + 0.543495i \(0.817101\pi\)
\(3\) −0.996330 + 2.11731i −0.575231 + 1.22243i 0.379564 + 0.925165i \(0.376074\pi\)
−0.954796 + 0.297263i \(0.903926\pi\)
\(4\) 0.352092 0.0748394i 0.176046 0.0374197i
\(5\) −2.20367 + 0.372723i −0.985510 + 0.166687i −0.637205 0.770695i \(-0.719909\pi\)
−0.348305 + 0.937381i \(0.613243\pi\)
\(6\) −2.83003 0.985521i −1.15536 0.402337i
\(7\) −0.544697 0.270390i −0.205876 0.102198i 0.338751 0.940876i \(-0.389996\pi\)
−0.544627 + 0.838678i \(0.683329\pi\)
\(8\) 0.933930 + 2.87434i 0.330194 + 1.01623i
\(9\) −1.57805 1.90754i −0.526017 0.635845i
\(10\) −0.769700 2.75675i −0.243400 0.871762i
\(11\) 0.688662 + 0.0578285i 0.207639 + 0.0174360i 0.187042 0.982352i \(-0.440110\pi\)
0.0205972 + 0.999788i \(0.493443\pi\)
\(12\) −0.192341 + 0.820051i −0.0555242 + 0.236728i
\(13\) −0.601262 1.43035i −0.166760 0.396706i 0.816891 0.576792i \(-0.195696\pi\)
−0.983651 + 0.180086i \(0.942362\pi\)
\(14\) 0.271461 0.729936i 0.0725509 0.195084i
\(15\) 1.40641 5.03720i 0.363134 1.30060i
\(16\) −2.87814 + 1.28143i −0.719535 + 0.320357i
\(17\) 2.17650 + 1.44607i 0.527880 + 0.350723i 0.788812 0.614635i \(-0.210697\pi\)
−0.260932 + 0.965357i \(0.584030\pi\)
\(18\) 2.21824 2.26520i 0.522845 0.533912i
\(19\) 0.383374 1.17990i 0.0879520 0.270688i −0.897401 0.441216i \(-0.854547\pi\)
0.985353 + 0.170528i \(0.0545472\pi\)
\(20\) −0.747999 + 0.296154i −0.167258 + 0.0662220i
\(21\) 1.11520 0.883895i 0.243356 0.192882i
\(22\) 0.0185347 + 0.884839i 0.00395162 + 0.188648i
\(23\) 6.16662 + 6.84873i 1.28583 + 1.42806i 0.848891 + 0.528568i \(0.177271\pi\)
0.436939 + 0.899491i \(0.356062\pi\)
\(24\) −7.01637 0.886373i −1.43221 0.180930i
\(25\) −0.00465231 + 0.00162011i −0.000930462 + 0.000324021i
\(26\) 1.74124 0.957254i 0.341485 0.187733i
\(27\) −1.18840 + 0.305128i −0.228707 + 0.0587220i
\(28\) −0.212019 0.0544373i −0.0400679 0.0102877i
\(29\) 1.22714 + 0.674625i 0.227874 + 0.125275i 0.591601 0.806231i \(-0.298496\pi\)
−0.363727 + 0.931505i \(0.618496\pi\)
\(30\) 6.60377 + 1.11694i 1.20568 + 0.203925i
\(31\) 7.37203 0.308980i 1.32406 0.0554944i 0.630664 0.776056i \(-0.282782\pi\)
0.693391 + 0.720561i \(0.256116\pi\)
\(32\) 1.00492 + 1.74057i 0.177646 + 0.307692i
\(33\) −0.808575 + 1.40049i −0.140755 + 0.243795i
\(34\) −1.55039 + 2.96563i −0.265890 + 0.508601i
\(35\) 1.30111 + 0.392829i 0.219928 + 0.0664002i
\(36\) −0.698377 0.553527i −0.116396 0.0922545i
\(37\) −0.147264 + 0.194014i −0.0242101 + 0.0318956i −0.808475 0.588530i \(-0.799707\pi\)
0.784265 + 0.620426i \(0.213040\pi\)
\(38\) 1.55407 + 0.330329i 0.252104 + 0.0535864i
\(39\) 3.62754 + 0.152039i 0.580871 + 0.0243457i
\(40\) −3.12940 5.98599i −0.494802 0.946469i
\(41\) −1.38898 7.28131i −0.216923 1.13715i −0.909468 0.415775i \(-0.863510\pi\)
0.692545 0.721375i \(-0.256490\pi\)
\(42\) 1.27504 + 1.30202i 0.196742 + 0.200907i
\(43\) 8.89829 4.41715i 1.35698 0.673609i 0.388207 0.921572i \(-0.373094\pi\)
0.968770 + 0.247963i \(0.0797611\pi\)
\(44\) 0.246800 0.0311781i 0.0372065 0.00470027i
\(45\) 4.18848 + 3.61540i 0.624382 + 0.538952i
\(46\) −7.89724 + 8.77077i −1.16438 + 1.29318i
\(47\) 1.62961 1.40665i 0.237704 0.205180i −0.526465 0.850197i \(-0.676483\pi\)
0.764169 + 0.645017i \(0.223150\pi\)
\(48\) 0.154393 7.37063i 0.0222847 1.06386i
\(49\) −4.00861 5.28115i −0.572658 0.754450i
\(50\) −0.00268618 0.00570843i −0.000379884 0.000807294i
\(51\) −5.23028 + 3.16757i −0.732386 + 0.443549i
\(52\) −0.318745 0.458615i −0.0442020 0.0635984i
\(53\) −6.29379 + 5.91027i −0.864519 + 0.811837i −0.983472 0.181062i \(-0.942046\pi\)
0.118952 + 0.992900i \(0.462046\pi\)
\(54\) −0.547702 1.47273i −0.0745329 0.200413i
\(55\) −1.53914 + 0.129245i −0.207537 + 0.0174274i
\(56\) 0.268484 1.81817i 0.0358777 0.242963i
\(57\) 2.11625 + 1.98729i 0.280304 + 0.263223i
\(58\) −0.694951 + 1.65322i −0.0912515 + 0.217079i
\(59\) −6.04681 4.39326i −0.787227 0.571954i 0.119912 0.992785i \(-0.461739\pi\)
−0.907139 + 0.420831i \(0.861739\pi\)
\(60\) 0.118205 1.87881i 0.0152602 0.242553i
\(61\) −1.54174 + 2.21828i −0.197400 + 0.284021i −0.907476 0.420103i \(-0.861994\pi\)
0.710076 + 0.704125i \(0.248660\pi\)
\(62\) 1.38037 + 9.34785i 0.175307 + 1.18718i
\(63\) 0.343781 + 1.46572i 0.0433124 + 0.184663i
\(64\) −7.17996 + 5.21654i −0.897494 + 0.652068i
\(65\) 1.85810 + 2.92790i 0.230469 + 0.363162i
\(66\) −1.89194 0.842347i −0.232882 0.103686i
\(67\) 9.31019 11.2541i 1.13742 1.37491i 0.220718 0.975338i \(-0.429160\pi\)
0.916703 0.399569i \(-0.130840\pi\)
\(68\) 0.874552 + 0.346260i 0.106055 + 0.0419901i
\(69\) −20.6449 + 6.23305i −2.48535 + 0.750371i
\(70\) −0.326146 + 1.70972i −0.0389819 + 0.204350i
\(71\) 5.77065 3.83401i 0.684850 0.455013i −0.162038 0.986785i \(-0.551807\pi\)
0.846888 + 0.531771i \(0.178473\pi\)
\(72\) 4.00912 6.31736i 0.472479 0.744508i
\(73\) −0.151468 2.40751i −0.0177280 0.281778i −0.996896 0.0787273i \(-0.974914\pi\)
0.979168 0.203051i \(-0.0650856\pi\)
\(74\) −0.266814 0.161588i −0.0310165 0.0187843i
\(75\) 0.00120497 0.0114645i 0.000139138 0.00132381i
\(76\) 0.0466795 0.444126i 0.00535450 0.0509447i
\(77\) −0.359476 0.217706i −0.0409661 0.0248099i
\(78\) 0.291954 + 4.64048i 0.0330573 + 0.525431i
\(79\) 1.79354 2.82616i 0.201789 0.317968i −0.728330 0.685226i \(-0.759703\pi\)
0.930119 + 0.367258i \(0.119703\pi\)
\(80\) 5.86484 3.89659i 0.655710 0.435652i
\(81\) 1.92967 10.1157i 0.214407 1.12396i
\(82\) 9.08773 2.74375i 1.00357 0.302996i
\(83\) −15.5723 6.16551i −1.70928 0.676753i −0.709668 0.704536i \(-0.751155\pi\)
−0.999614 + 0.0277836i \(0.991155\pi\)
\(84\) 0.326502 0.394673i 0.0356242 0.0430623i
\(85\) −5.33527 2.37542i −0.578692 0.257650i
\(86\) 6.81695 + 10.7418i 0.735091 + 1.15832i
\(87\) −2.65102 + 1.92608i −0.284219 + 0.206498i
\(88\) 0.476943 + 2.03346i 0.0508423 + 0.216767i
\(89\) 1.86404 + 12.6233i 0.197588 + 1.33806i 0.827530 + 0.561422i \(0.189746\pi\)
−0.629941 + 0.776643i \(0.716921\pi\)
\(90\) −4.04398 + 5.81853i −0.426273 + 0.613327i
\(91\) −0.0592455 + 0.941681i −0.00621062 + 0.0987149i
\(92\) 2.68377 + 1.94987i 0.279803 + 0.203288i
\(93\) −6.69077 + 15.9167i −0.693800 + 1.65049i
\(94\) 2.00969 + 1.88722i 0.207283 + 0.194652i
\(95\) −0.405052 + 2.74301i −0.0415575 + 0.281427i
\(96\) −4.68656 + 0.393541i −0.478320 + 0.0401656i
\(97\) 1.63461 + 4.39533i 0.165969 + 0.446278i 0.993318 0.115411i \(-0.0368185\pi\)
−0.827349 + 0.561689i \(0.810152\pi\)
\(98\) 6.18960 5.81242i 0.625244 0.587143i
\(99\) −0.976433 1.40490i −0.0981352 0.141198i
\(100\) −0.00151679 0.000918602i −0.000151679 9.18602e-5i
\(101\) −5.26084 11.1798i −0.523473 1.11244i −0.975412 0.220388i \(-0.929268\pi\)
0.451940 0.892049i \(-0.350732\pi\)
\(102\) −4.73445 6.23740i −0.468780 0.617595i
\(103\) −0.174295 + 8.32077i −0.0171738 + 0.819869i 0.903287 + 0.429036i \(0.141147\pi\)
−0.920461 + 0.390834i \(0.872187\pi\)
\(104\) 3.54976 3.06407i 0.348083 0.300457i
\(105\) −2.12808 + 2.36347i −0.207679 + 0.230651i
\(106\) −8.36998 7.22477i −0.812964 0.701732i
\(107\) −3.69266 + 0.466491i −0.356983 + 0.0450974i −0.301780 0.953378i \(-0.597581\pi\)
−0.0552033 + 0.998475i \(0.517581\pi\)
\(108\) −0.395589 + 0.196372i −0.0380656 + 0.0188959i
\(109\) 0.493538 + 0.503984i 0.0472724 + 0.0482729i 0.737701 0.675128i \(-0.235911\pi\)
−0.690429 + 0.723400i \(0.742578\pi\)
\(110\) −0.370644 1.94298i −0.0353395 0.185256i
\(111\) −0.264063 0.505105i −0.0250637 0.0479425i
\(112\) 1.91420 + 0.0802288i 0.180875 + 0.00758091i
\(113\) 5.88728 + 1.25138i 0.553829 + 0.117720i 0.476321 0.879272i \(-0.341970\pi\)
0.0775084 + 0.996992i \(0.475304\pi\)
\(114\) −2.24778 + 2.96134i −0.210524 + 0.277355i
\(115\) −16.1419 12.7939i −1.50524 1.19304i
\(116\) 0.482554 + 0.145692i 0.0448040 + 0.0135271i
\(117\) −1.77961 + 3.40409i −0.164525 + 0.314708i
\(118\) 4.78593 8.28947i 0.440580 0.763107i
\(119\) −0.794534 1.37617i −0.0728348 0.126154i
\(120\) 15.7921 0.661885i 1.44162 0.0604216i
\(121\) −10.3750 1.75481i −0.943186 0.159528i
\(122\) −3.03164 1.66666i −0.274472 0.150892i
\(123\) 16.8007 + 4.31368i 1.51487 + 0.388951i
\(124\) 2.57251 0.660507i 0.231018 0.0593153i
\(125\) 9.80223 5.38882i 0.876738 0.481991i
\(126\) −1.82076 + 0.634055i −0.162206 + 0.0564861i
\(127\) 7.76355 + 0.980764i 0.688903 + 0.0870287i 0.461989 0.886886i \(-0.347136\pi\)
0.226915 + 0.973915i \(0.427136\pi\)
\(128\) −4.91537 5.45907i −0.434461 0.482518i
\(129\) 0.486837 + 23.2414i 0.0428636 + 2.04629i
\(130\) −3.48032 + 2.75847i −0.305244 + 0.241934i
\(131\) 13.0005 5.14725i 1.13586 0.449717i 0.276459 0.961026i \(-0.410839\pi\)
0.859397 + 0.511308i \(0.170839\pi\)
\(132\) −0.179880 + 0.553615i −0.0156566 + 0.0481860i
\(133\) −0.527857 + 0.539030i −0.0457710 + 0.0467398i
\(134\) 15.5798 + 10.3512i 1.34589 + 0.894207i
\(135\) 2.50510 1.11534i 0.215605 0.0959935i
\(136\) −2.12378 + 7.60654i −0.182113 + 0.652255i
\(137\) 5.98543 16.0943i 0.511370 1.37503i −0.381355 0.924429i \(-0.624542\pi\)
0.892724 0.450603i \(-0.148791\pi\)
\(138\) −10.7022 25.4595i −0.911029 2.16725i
\(139\) −3.11033 + 13.2610i −0.263815 + 1.12478i 0.662808 + 0.748789i \(0.269364\pi\)
−0.926623 + 0.375991i \(0.877302\pi\)
\(140\) 0.487510 + 0.0409374i 0.0412021 + 0.00345984i
\(141\) 1.35467 + 4.85188i 0.114084 + 0.408602i
\(142\) 5.65558 + 6.83642i 0.474605 + 0.573699i
\(143\) −0.331351 1.01979i −0.0277090 0.0852795i
\(144\) 6.98622 + 3.46799i 0.582185 + 0.288999i
\(145\) −2.95565 1.02927i −0.245454 0.0854760i
\(146\) 3.04599 0.515191i 0.252088 0.0426375i
\(147\) 15.1757 3.22570i 1.25167 0.266051i
\(148\) −0.0373307 + 0.0793317i −0.00306856 + 0.00652103i
\(149\) 1.52759 + 14.5341i 0.125145 + 1.19068i 0.859219 + 0.511608i \(0.170950\pi\)
−0.734074 + 0.679070i \(0.762383\pi\)
\(150\) 0.0147628 0.00120538
\(151\) 11.1447 + 5.17642i 0.906944 + 0.421251i
\(152\) 3.74949 0.304123
\(153\) −0.676212 6.43372i −0.0546685 0.520136i
\(154\) 0.229156 0.486981i 0.0184659 0.0392420i
\(155\) −16.1303 + 3.42861i −1.29562 + 0.275393i
\(156\) 1.28860 0.217951i 0.103171 0.0174501i
\(157\) −10.4609 3.64288i −0.834873 0.290733i −0.122442 0.992476i \(-0.539072\pi\)
−0.712431 + 0.701742i \(0.752406\pi\)
\(158\) 3.83956 + 1.90597i 0.305459 + 0.151631i
\(159\) −6.24316 19.2145i −0.495115 1.52381i
\(160\) −2.86326 3.46108i −0.226360 0.273623i
\(161\) −1.50712 5.39788i −0.118777 0.425413i
\(162\) 13.1419 + 1.10355i 1.03252 + 0.0867035i
\(163\) −4.46368 + 19.0310i −0.349623 + 1.49062i 0.451580 + 0.892231i \(0.350860\pi\)
−0.801203 + 0.598393i \(0.795806\pi\)
\(164\) −1.03398 2.45974i −0.0807402 0.192073i
\(165\) 1.25984 3.38760i 0.0980781 0.263724i
\(166\) 5.76799 20.6586i 0.447683 1.60342i
\(167\) 12.7653 5.68346i 0.987806 0.439800i 0.151735 0.988421i \(-0.451514\pi\)
0.836071 + 0.548621i \(0.184847\pi\)
\(168\) 3.58213 + 2.37996i 0.276367 + 0.183618i
\(169\) 7.41125 7.56812i 0.570096 0.582163i
\(170\) 2.31119 7.11312i 0.177261 0.545552i
\(171\) −2.85569 + 1.13065i −0.218380 + 0.0864628i
\(172\) 2.80244 2.22118i 0.213684 0.169364i
\(173\) 0.172849 + 8.25173i 0.0131415 + 0.627368i 0.955867 + 0.293799i \(0.0949196\pi\)
−0.942726 + 0.333569i \(0.891747\pi\)
\(174\) −2.80798 3.11858i −0.212873 0.236419i
\(175\) 0.00297216 0.000375471i 0.000224674 2.83830e-5i
\(176\) −2.05617 + 0.716033i −0.154989 + 0.0539730i
\(177\) 15.3265 8.42582i 1.15201 0.633323i
\(178\) −15.8278 + 4.06389i −1.18634 + 0.304601i
\(179\) −21.3907 5.49219i −1.59881 0.410506i −0.658987 0.752154i \(-0.729015\pi\)
−0.939828 + 0.341648i \(0.889015\pi\)
\(180\) 1.74530 + 0.959489i 0.130087 + 0.0715161i
\(181\) 2.12301 + 0.359080i 0.157802 + 0.0266902i 0.245135 0.969489i \(-0.421168\pi\)
−0.0873330 + 0.996179i \(0.527834\pi\)
\(182\) −1.20728 + 0.0506000i −0.0894895 + 0.00375072i
\(183\) −3.16069 5.47448i −0.233645 0.404685i
\(184\) −13.9264 + 24.1212i −1.02667 + 1.77824i
\(185\) 0.252208 0.482430i 0.0185427 0.0354690i
\(186\) −21.1676 6.39087i −1.55208 0.468601i
\(187\) 1.41525 + 1.12171i 0.103493 + 0.0820279i
\(188\) 0.468501 0.617227i 0.0341690 0.0450159i
\(189\) 0.729820 + 0.155128i 0.0530866 + 0.0112839i
\(190\) −3.54779 0.148696i −0.257383 0.0107876i
\(191\) 1.04829 + 2.00520i 0.0758517 + 0.145091i 0.921155 0.389196i \(-0.127247\pi\)
−0.845303 + 0.534287i \(0.820580\pi\)
\(192\) −3.89143 20.3996i −0.280840 1.47221i
\(193\) −7.62582 7.78723i −0.548919 0.560537i 0.382747 0.923853i \(-0.374978\pi\)
−0.931666 + 0.363316i \(0.881645\pi\)
\(194\) −5.37919 + 2.67025i −0.386203 + 0.191713i
\(195\) −8.05056 + 1.01702i −0.576512 + 0.0728304i
\(196\) −1.80664 1.55945i −0.129045 0.111389i
\(197\) −11.9755 + 13.3002i −0.853222 + 0.947599i −0.999130 0.0416989i \(-0.986723\pi\)
0.145908 + 0.989298i \(0.453390\pi\)
\(198\) 1.65861 1.43168i 0.117872 0.101745i
\(199\) −0.211009 + 10.0735i −0.0149580 + 0.714090i 0.926373 + 0.376606i \(0.122909\pi\)
−0.941332 + 0.337483i \(0.890424\pi\)
\(200\) −0.00900167 0.0118593i −0.000636514 0.000838576i
\(201\) 14.5524 + 30.9253i 1.02644 + 2.18131i
\(202\) 13.5347 8.19691i 0.952299 0.576733i
\(203\) −0.486007 0.699272i −0.0341110 0.0490793i
\(204\) −1.60448 + 1.50671i −0.112336 + 0.105491i
\(205\) 5.77477 + 15.5279i 0.403327 + 1.08451i
\(206\) −10.6209 + 0.891860i −0.739991 + 0.0621388i
\(207\) 3.33295 22.5707i 0.231656 1.56877i
\(208\) 3.56340 + 3.34626i 0.247077 + 0.232021i
\(209\) 0.332247 0.790384i 0.0229820 0.0546720i
\(210\) −3.29505 2.39399i −0.227380 0.165201i
\(211\) 1.03848 16.5061i 0.0714917 1.13633i −0.784770 0.619787i \(-0.787219\pi\)
0.856262 0.516542i \(-0.172781\pi\)
\(212\) −1.77367 + 2.55198i −0.121816 + 0.175271i
\(213\) 2.36831 + 16.0382i 0.162274 + 1.09892i
\(214\) −1.08845 4.64062i −0.0744048 0.317226i
\(215\) −17.9625 + 13.0505i −1.22503 + 0.890038i
\(216\) −1.98692 3.13089i −0.135193 0.213030i
\(217\) −4.09907 1.82502i −0.278263 0.123891i
\(218\) −0.575821 + 0.696048i −0.0389995 + 0.0471423i
\(219\) 5.24836 + 2.07797i 0.354651 + 0.140416i
\(220\) −0.532244 + 0.160694i −0.0358839 + 0.0108340i
\(221\) 0.759725 3.98262i 0.0511046 0.267900i
\(222\) 0.607967 0.403932i 0.0408041 0.0271102i
\(223\) −5.58244 + 8.79651i −0.373828 + 0.589058i −0.978205 0.207640i \(-0.933422\pi\)
0.604378 + 0.796698i \(0.293422\pi\)
\(224\) −0.0767436 1.21980i −0.00512765 0.0815016i
\(225\) 0.0104320 + 0.00631784i 0.000695466 + 0.000421189i
\(226\) −0.805699 + 7.66571i −0.0535943 + 0.509915i
\(227\) −0.989703 + 9.41640i −0.0656889 + 0.624988i 0.911307 + 0.411728i \(0.135075\pi\)
−0.976996 + 0.213260i \(0.931592\pi\)
\(228\) 0.893843 + 0.541330i 0.0591962 + 0.0358505i
\(229\) 0.739151 + 11.7485i 0.0488444 + 0.776360i 0.943864 + 0.330334i \(0.107161\pi\)
−0.895020 + 0.446027i \(0.852839\pi\)
\(230\) 14.1338 22.2713i 0.931956 1.46853i
\(231\) 0.819108 0.544214i 0.0538934 0.0358067i
\(232\) −0.793040 + 4.15726i −0.0520656 + 0.272938i
\(233\) −24.9346 + 7.52821i −1.63352 + 0.493190i −0.967527 0.252766i \(-0.918660\pi\)
−0.665995 + 0.745956i \(0.731993\pi\)
\(234\) −4.57376 1.81088i −0.298996 0.118381i
\(235\) −3.06684 + 3.70717i −0.200059 + 0.241829i
\(236\) −2.45782 1.09429i −0.159990 0.0712323i
\(237\) 4.19690 + 6.61326i 0.272618 + 0.429577i
\(238\) 1.64637 1.19616i 0.106718 0.0775355i
\(239\) −4.21881 17.9870i −0.272892 1.16348i −0.917108 0.398638i \(-0.869483\pi\)
0.644216 0.764843i \(-0.277184\pi\)
\(240\) 2.40697 + 16.3000i 0.155369 + 1.05216i
\(241\) 4.30530 6.19451i 0.277329 0.399023i −0.657879 0.753124i \(-0.728546\pi\)
0.935207 + 0.354100i \(0.115213\pi\)
\(242\) 0.846129 13.4488i 0.0543912 0.864524i
\(243\) 16.5175 + 12.0007i 1.05960 + 0.769845i
\(244\) −0.376820 + 0.896420i −0.0241235 + 0.0573874i
\(245\) 10.8020 + 10.1438i 0.690117 + 0.648063i
\(246\) −3.24502 + 21.9752i −0.206895 + 1.40109i
\(247\) −1.91818 + 0.161074i −0.122051 + 0.0102489i
\(248\) 7.77307 + 20.9012i 0.493590 + 1.32722i
\(249\) 28.5694 26.8285i 1.81051 1.70019i
\(250\) 8.17550 + 11.7630i 0.517064 + 0.743958i
\(251\) −13.0632 + 7.91136i −0.824542 + 0.499361i −0.866156 0.499773i \(-0.833417\pi\)
0.0416140 + 0.999134i \(0.486750\pi\)
\(252\) 0.230736 + 0.490339i 0.0145350 + 0.0308885i
\(253\) 3.85067 + 5.07307i 0.242089 + 0.318941i
\(254\) −0.209871 + 10.0191i −0.0131685 + 0.628657i
\(255\) 10.3452 8.92972i 0.647840 0.559201i
\(256\) −5.58213 + 6.19958i −0.348883 + 0.387474i
\(257\) −5.07441 4.38012i −0.316533 0.273224i 0.480714 0.876878i \(-0.340378\pi\)
−0.797247 + 0.603654i \(0.793711\pi\)
\(258\) −29.5356 + 3.73122i −1.83881 + 0.232296i
\(259\) 0.132674 0.0658599i 0.00824395 0.00409233i
\(260\) 0.873345 + 0.891831i 0.0541626 + 0.0553090i
\(261\) −0.649615 3.40540i −0.0402102 0.210789i
\(262\) 8.29596 + 15.8687i 0.512526 + 0.980372i
\(263\) −28.7598 1.20539i −1.77340 0.0743276i −0.867403 0.497606i \(-0.834213\pi\)
−0.906000 + 0.423279i \(0.860879\pi\)
\(264\) −4.78064 1.01616i −0.294228 0.0625402i
\(265\) 11.6665 15.3701i 0.716670 0.944178i
\(266\) −0.757183 0.600136i −0.0464259 0.0367967i
\(267\) −28.5846 8.63019i −1.74935 0.528159i
\(268\) 2.43579 4.65924i 0.148790 0.284608i
\(269\) 10.2796 17.8048i 0.626760 1.08558i −0.361438 0.932396i \(-0.617714\pi\)
0.988198 0.153183i \(-0.0489526\pi\)
\(270\) 1.75587 + 3.04126i 0.106859 + 0.185085i
\(271\) 27.8132 1.16572i 1.68953 0.0708122i 0.822404 0.568904i \(-0.192632\pi\)
0.867125 + 0.498091i \(0.165966\pi\)
\(272\) −8.11731 1.37294i −0.492184 0.0832468i
\(273\) −1.93480 1.06367i −0.117099 0.0643760i
\(274\) 21.2994 + 5.46875i 1.28674 + 0.330380i
\(275\) −0.00329756 0.000846669i −0.000198850 5.10561e-5i
\(276\) −6.80241 + 3.73966i −0.409457 + 0.225101i
\(277\) 8.80469 3.06612i 0.529023 0.184225i −0.0511918 0.998689i \(-0.516302\pi\)
0.580215 + 0.814464i \(0.302969\pi\)
\(278\) −17.3059 2.18624i −1.03794 0.131122i
\(279\) −12.2228 13.5748i −0.731761 0.812703i
\(280\) 0.0860234 + 4.10671i 0.00514088 + 0.245423i
\(281\) 10.3795 8.22670i 0.619189 0.490764i −0.261030 0.965331i \(-0.584062\pi\)
0.880219 + 0.474567i \(0.157395\pi\)
\(282\) −5.99814 + 2.37483i −0.357184 + 0.141419i
\(283\) 7.60280 23.3990i 0.451939 1.39093i −0.422752 0.906245i \(-0.638936\pi\)
0.874691 0.484681i \(-0.161064\pi\)
\(284\) 1.74486 1.78180i 0.103539 0.105730i
\(285\) −5.40423 3.59056i −0.320119 0.212686i
\(286\) 1.25448 0.558531i 0.0741790 0.0330266i
\(287\) −1.21222 + 4.34168i −0.0715550 + 0.256281i
\(288\) 1.73439 4.66363i 0.102200 0.274807i
\(289\) −3.94170 9.37694i −0.231865 0.551584i
\(290\) 0.915247 3.90218i 0.0537452 0.229144i
\(291\) −10.9349 0.918227i −0.641014 0.0538274i
\(292\) −0.233507 0.836329i −0.0136650 0.0489425i
\(293\) −15.6216 18.8833i −0.912626 1.10318i −0.994311 0.106517i \(-0.966030\pi\)
0.0816850 0.996658i \(-0.473970\pi\)
\(294\) 6.13981 + 18.8964i 0.358081 + 1.10206i
\(295\) 14.9626 + 7.42751i 0.871157 + 0.432446i
\(296\) −0.695195 0.242093i −0.0404074 0.0140713i
\(297\) −0.836049 + 0.141407i −0.0485125 + 0.00820527i
\(298\) −18.3065 + 3.89116i −1.06047 + 0.225409i
\(299\) 6.08829 12.9383i 0.352095 0.748240i
\(300\) −0.000433739 0.00412675i −2.50419e−5 0.000238258i
\(301\) −6.04123 −0.348211
\(302\) −5.10095 + 14.8871i −0.293527 + 0.856658i
\(303\) 28.9127 1.66099
\(304\) 0.408560 + 3.88719i 0.0234325 + 0.222946i
\(305\) 2.57069 5.46299i 0.147197 0.312810i
\(306\) 8.10364 1.72248i 0.463254 0.0984677i
\(307\) 12.2737 2.07593i 0.700495 0.118480i 0.194355 0.980931i \(-0.437739\pi\)
0.506140 + 0.862451i \(0.331072\pi\)
\(308\) −0.142862 0.0497496i −0.00814029 0.00283475i
\(309\) −17.4440 8.65926i −0.992353 0.492608i
\(310\) −6.52603 20.0851i −0.370654 1.14075i
\(311\) 8.41099 + 10.1671i 0.476943 + 0.576525i 0.953031 0.302872i \(-0.0979456\pi\)
−0.476088 + 0.879398i \(0.657946\pi\)
\(312\) 2.95085 + 10.5688i 0.167059 + 0.598339i
\(313\) −11.6288 0.976494i −0.657296 0.0551947i −0.249652 0.968336i \(-0.580316\pi\)
−0.407644 + 0.913141i \(0.633650\pi\)
\(314\) 3.23933 13.8110i 0.182806 0.779397i
\(315\) −1.30389 3.10182i −0.0734657 0.174768i
\(316\) 0.419981 1.12930i 0.0236258 0.0635278i
\(317\) 4.37787 15.6798i 0.245886 0.880663i −0.733673 0.679503i \(-0.762196\pi\)
0.979558 0.201160i \(-0.0644712\pi\)
\(318\) 23.6363 10.5236i 1.32546 0.590133i
\(319\) 0.806070 + 0.535552i 0.0451313 + 0.0299851i
\(320\) 13.8779 14.1717i 0.775799 0.792220i
\(321\) 2.69140 8.28328i 0.150219 0.462328i
\(322\) 6.67313 2.64208i 0.371879 0.147237i
\(323\) 2.54063 2.01368i 0.141365 0.112044i
\(324\) −0.0776308 3.70606i −0.00431282 0.205892i
\(325\) 0.00511457 + 0.00568030i 0.000283705 + 0.000315087i
\(326\) −24.8359 3.13750i −1.37553 0.173770i
\(327\) −1.55882 + 0.542837i −0.0862028 + 0.0300190i
\(328\) 19.6317 10.7926i 1.08398 0.595924i
\(329\) −1.26799 + 0.325564i −0.0699065 + 0.0179489i
\(330\) 4.48318 + 1.15108i 0.246791 + 0.0633651i
\(331\) 6.74164 + 3.70625i 0.370554 + 0.203714i 0.656140 0.754639i \(-0.272188\pi\)
−0.285586 + 0.958353i \(0.592188\pi\)
\(332\) −5.94430 1.00540i −0.326236 0.0551787i
\(333\) 0.602478 0.0252513i 0.0330156 0.00138376i
\(334\) 8.94741 + 15.4974i 0.489581 + 0.847978i
\(335\) −16.3219 + 28.2704i −0.891762 + 1.54458i
\(336\) −2.07704 + 3.97302i −0.113312 + 0.216746i
\(337\) −33.9854 10.2608i −1.85130 0.558942i −0.999377 0.0352819i \(-0.988767\pi\)
−0.851927 0.523660i \(-0.824566\pi\)
\(338\) 10.6311 + 8.42607i 0.578253 + 0.458318i
\(339\) −8.51523 + 11.2184i −0.462484 + 0.609300i
\(340\) −2.05628 0.437076i −0.111517 0.0237038i
\(341\) 5.09470 + 0.213531i 0.275894 + 0.0115634i
\(342\) −1.82229 3.48573i −0.0985384 0.188487i
\(343\) 1.55316 + 8.14193i 0.0838626 + 0.439623i
\(344\) 21.0068 + 21.4514i 1.13261 + 1.15658i
\(345\) 43.1712 21.4304i 2.32426 1.15377i
\(346\) −10.4865 + 1.32475i −0.563757 + 0.0712190i
\(347\) 15.6562 + 13.5141i 0.840468 + 0.725473i 0.963724 0.266902i \(-0.0860000\pi\)
−0.123255 + 0.992375i \(0.539333\pi\)
\(348\) −0.789256 + 0.876558i −0.0423086 + 0.0469884i
\(349\) 5.27398 4.55237i 0.282309 0.243683i −0.500806 0.865560i \(-0.666963\pi\)
0.783115 + 0.621877i \(0.213630\pi\)
\(350\) −8.03462e−5 0.00383569i −4.29468e−6 0.000205026i
\(351\) 1.15098 + 1.51636i 0.0614346 + 0.0809371i
\(352\) 0.591395 + 1.25678i 0.0315214 + 0.0669865i
\(353\) −0.782506 + 0.473902i −0.0416486 + 0.0252233i −0.538698 0.842499i \(-0.681084\pi\)
0.497049 + 0.867722i \(0.334417\pi\)
\(354\) 12.7830 + 18.3923i 0.679409 + 0.977541i
\(355\) −11.2876 + 10.5997i −0.599082 + 0.562576i
\(356\) 1.60103 + 4.30505i 0.0848546 + 0.228167i
\(357\) 3.70540 0.311151i 0.196111 0.0164679i
\(358\) 4.13157 27.9789i 0.218360 1.47873i
\(359\) 0.910315 + 0.854843i 0.0480446 + 0.0451169i 0.708198 0.706014i \(-0.249509\pi\)
−0.660153 + 0.751131i \(0.729509\pi\)
\(360\) −6.48014 + 15.4156i −0.341533 + 0.812476i
\(361\) 14.1261 + 10.2632i 0.743480 + 0.540170i
\(362\) −0.173140 + 2.75199i −0.00910005 + 0.144641i
\(363\) 14.0524 20.2188i 0.737562 1.06121i
\(364\) 0.0496150 + 0.335992i 0.00260053 + 0.0176108i
\(365\) 1.23112 + 5.24890i 0.0644397 + 0.274740i
\(366\) 6.54934 4.75837i 0.342340 0.248724i
\(367\) −3.57666 5.63591i −0.186700 0.294192i 0.738066 0.674729i \(-0.235739\pi\)
−0.924766 + 0.380536i \(0.875739\pi\)
\(368\) −26.5246 11.8095i −1.38269 0.615613i
\(369\) −11.6975 + 14.1398i −0.608946 + 0.736089i
\(370\) 0.648197 + 0.256639i 0.0336982 + 0.0133420i
\(371\) 5.02629 1.51753i 0.260952 0.0787861i
\(372\) −1.16457 + 6.10487i −0.0603800 + 0.316523i
\(373\) 16.8811 11.2158i 0.874069 0.580730i −0.0340602 0.999420i \(-0.510844\pi\)
0.908129 + 0.418690i \(0.137510\pi\)
\(374\) −1.23919 + 1.95266i −0.0640772 + 0.100970i
\(375\) 1.64354 + 26.1234i 0.0848722 + 1.34901i
\(376\) 5.56512 + 3.37036i 0.286999 + 0.173813i
\(377\) 0.227115 2.16086i 0.0116970 0.111290i
\(378\) −0.0998789 + 0.950284i −0.00513722 + 0.0488773i
\(379\) 6.76034 + 4.09421i 0.347256 + 0.210305i 0.680870 0.732404i \(-0.261602\pi\)
−0.333615 + 0.942710i \(0.608268\pi\)
\(380\) 0.0626695 + 0.996104i 0.00321488 + 0.0510990i
\(381\) −9.81163 + 15.4607i −0.502665 + 0.792074i
\(382\) −2.41354 + 1.60355i −0.123488 + 0.0820450i
\(383\) 2.29976 12.0558i 0.117512 0.616022i −0.873991 0.485942i \(-0.838477\pi\)
0.991504 0.130080i \(-0.0415234\pi\)
\(384\) 16.4559 4.96832i 0.839760 0.253538i
\(385\) 0.873310 + 0.345768i 0.0445080 + 0.0176220i
\(386\) 8.89720 10.7549i 0.452856 0.547409i
\(387\) −22.4678 10.0033i −1.14210 0.508497i
\(388\) 0.904476 + 1.42523i 0.0459178 + 0.0723549i
\(389\) −15.8619 + 11.5244i −0.804231 + 0.584308i −0.912152 0.409851i \(-0.865581\pi\)
0.107921 + 0.994159i \(0.465581\pi\)
\(390\) −2.37298 10.1173i −0.120161 0.512307i
\(391\) 3.51797 + 23.8236i 0.177911 + 1.20481i
\(392\) 11.4361 16.4543i 0.577608 0.831069i
\(393\) −2.05444 + 32.6544i −0.103633 + 1.64719i
\(394\) −18.5426 13.4720i −0.934160 0.678707i
\(395\) −2.89898 + 6.89641i −0.145864 + 0.346996i
\(396\) −0.448936 0.421579i −0.0225599 0.0211851i
\(397\) −1.71224 + 11.5953i −0.0859350 + 0.581950i 0.902545 + 0.430596i \(0.141697\pi\)
−0.988480 + 0.151354i \(0.951637\pi\)
\(398\) −12.8581 + 1.07972i −0.644517 + 0.0541216i
\(399\) −0.615373 1.65469i −0.0308072 0.0828380i
\(400\) 0.0113139 0.0106245i 0.000565697 0.000531225i
\(401\) −10.1314 14.5772i −0.505939 0.727951i 0.483107 0.875562i \(-0.339508\pi\)
−0.989046 + 0.147611i \(0.952842\pi\)
\(402\) −37.4393 + 22.6740i −1.86730 + 1.13088i
\(403\) −4.87447 10.3588i −0.242815 0.516007i
\(404\) −2.68899 3.54261i −0.133782 0.176252i
\(405\) −0.482007 + 23.0108i −0.0239511 + 1.14342i
\(406\) 0.825553 0.712598i 0.0409715 0.0353656i
\(407\) −0.112635 + 0.125094i −0.00558310 + 0.00620066i
\(408\) −13.9894 12.0753i −0.692578 0.597818i
\(409\) 24.1982 3.05694i 1.19652 0.151156i 0.498279 0.867017i \(-0.333965\pi\)
0.698243 + 0.715861i \(0.253965\pi\)
\(410\) −19.0037 + 9.43351i −0.938525 + 0.465888i
\(411\) 28.1132 + 28.7083i 1.38672 + 1.41607i
\(412\) 0.561353 + 2.94272i 0.0276559 + 0.144977i
\(413\) 2.10578 + 4.02800i 0.103619 + 0.198205i
\(414\) 29.1928 + 1.22354i 1.43475 + 0.0601337i
\(415\) 36.6142 + 7.78259i 1.79732 + 0.382032i
\(416\) 1.88540 2.48392i 0.0924393 0.121784i
\(417\) −24.9786 19.7978i −1.22321 0.969504i
\(418\) 1.05113 + 0.317355i 0.0514124 + 0.0155223i
\(419\) −1.87240 + 3.58157i −0.0914726 + 0.174971i −0.927611 0.373547i \(-0.878141\pi\)
0.836138 + 0.548518i \(0.184808\pi\)
\(420\) −0.572398 + 0.991422i −0.0279302 + 0.0483764i
\(421\) −7.94076 13.7538i −0.387009 0.670319i 0.605037 0.796197i \(-0.293158\pi\)
−0.992046 + 0.125879i \(0.959825\pi\)
\(422\) 21.1616 0.886936i 1.03013 0.0431754i
\(423\) −5.25484 0.888790i −0.255499 0.0432144i
\(424\) −22.8661 12.5707i −1.11047 0.610489i
\(425\) −0.0124686 0.00320138i −0.000604814 0.000155290i
\(426\) −20.1096 + 5.16327i −0.974314 + 0.250161i
\(427\) 1.43958 0.791418i 0.0696663 0.0382994i
\(428\) −1.26524 + 0.440604i −0.0611578 + 0.0212974i
\(429\) 2.48935 + 0.314479i 0.120187 + 0.0151832i
\(430\) −19.0260 21.1305i −0.917516 1.01900i
\(431\) −0.0829595 3.96045i −0.00399602 0.190768i −0.997218 0.0745371i \(-0.976252\pi\)
0.993222 0.116231i \(-0.0370813\pi\)
\(432\) 3.02937 2.40105i 0.145751 0.115521i
\(433\) −16.3483 + 6.47274i −0.785647 + 0.311060i −0.726479 0.687188i \(-0.758845\pi\)
−0.0591680 + 0.998248i \(0.518845\pi\)
\(434\) 1.77568 5.46499i 0.0852355 0.262328i
\(435\) 5.12408 5.23254i 0.245681 0.250881i
\(436\) 0.211488 + 0.140513i 0.0101285 + 0.00672933i
\(437\) 10.4450 4.65040i 0.499650 0.222459i
\(438\) −1.94400 + 6.96261i −0.0928877 + 0.332686i
\(439\) −0.977915 + 2.62954i −0.0466734 + 0.125501i −0.958516 0.285040i \(-0.907993\pi\)
0.911842 + 0.410540i \(0.134660\pi\)
\(440\) −1.80894 4.30329i −0.0862377 0.205151i
\(441\) −3.74819 + 15.9805i −0.178485 + 0.760975i
\(442\) 5.17406 + 0.434478i 0.246105 + 0.0206660i
\(443\) −4.78433 17.1355i −0.227310 0.814134i −0.986569 0.163345i \(-0.947772\pi\)
0.759259 0.650789i \(-0.225562\pi\)
\(444\) −0.130776 0.158081i −0.00620636 0.00750220i
\(445\) −8.81271 27.1227i −0.417763 1.28574i
\(446\) −11.9508 5.93240i −0.565884 0.280907i
\(447\) −32.2951 11.2463i −1.52751 0.531934i
\(448\) 5.32140 0.900048i 0.251413 0.0425233i
\(449\) 17.2606 3.66886i 0.814579 0.173144i 0.218259 0.975891i \(-0.429962\pi\)
0.596320 + 0.802747i \(0.296629\pi\)
\(450\) −0.00665010 + 0.0141322i −0.000313489 + 0.000666198i
\(451\) −0.535473 5.09468i −0.0252144 0.239899i
\(452\) 2.16652 0.101904
\(453\) −22.0639 + 18.4394i −1.03665 + 0.866358i
\(454\) −12.1255 −0.569076
\(455\) −0.220428 2.09723i −0.0103338 0.0983198i
\(456\) −3.73572 + 7.93882i −0.174941 + 0.371769i
\(457\) −2.27035 + 0.482577i −0.106202 + 0.0225740i −0.260706 0.965418i \(-0.583955\pi\)
0.154504 + 0.987992i \(0.450622\pi\)
\(458\) −14.8642 + 2.51409i −0.694558 + 0.117476i
\(459\) −3.02779 1.05439i −0.141325 0.0492146i
\(460\) −6.64090 3.29657i −0.309634 0.153704i
\(461\) 3.03848 + 9.35149i 0.141516 + 0.435542i 0.996547 0.0830357i \(-0.0264616\pi\)
−0.855030 + 0.518578i \(0.826462\pi\)
\(462\) 0.802774 + 0.970387i 0.0373484 + 0.0451465i
\(463\) −7.55173 27.0473i −0.350959 1.25699i −0.905325 0.424720i \(-0.860372\pi\)
0.554366 0.832273i \(-0.312961\pi\)
\(464\) −4.39636 0.369172i −0.204096 0.0171384i
\(465\) 8.81171 37.5689i 0.408633 1.74222i
\(466\) −12.9260 30.7497i −0.598784 1.42445i
\(467\) −8.28443 + 22.2762i −0.383358 + 1.03082i 0.591169 + 0.806547i \(0.298666\pi\)
−0.974527 + 0.224270i \(0.928000\pi\)
\(468\) −0.371827 + 1.33174i −0.0171877 + 0.0615595i
\(469\) −8.11423 + 3.61269i −0.374681 + 0.166819i
\(470\) −5.13209 3.40975i −0.236726 0.157280i
\(471\) 18.1356 18.5195i 0.835646 0.853333i
\(472\) 6.98044 21.4836i 0.321301 0.988862i
\(473\) 6.38335 2.52735i 0.293507 0.116208i
\(474\) −7.86101 + 6.23056i −0.361068 + 0.286179i
\(475\) 0.000127994 0.00611038i 5.87278e−6 0.000280364i
\(476\) −0.382741 0.425077i −0.0175429 0.0194834i
\(477\) 21.2060 + 2.67894i 0.970954 + 0.122660i
\(478\) 22.3439 7.78098i 1.02199 0.355894i
\(479\) −27.9998 + 15.3930i −1.27934 + 0.703324i −0.968943 0.247282i \(-0.920462\pi\)
−0.310398 + 0.950607i \(0.600462\pi\)
\(480\) 10.1809 2.61402i 0.464694 0.119313i
\(481\) 0.366051 + 0.0939859i 0.0166905 + 0.00428539i
\(482\) 8.46581 + 4.65412i 0.385607 + 0.211989i
\(483\) 12.9306 + 2.18704i 0.588361 + 0.0995138i
\(484\) −3.78430 + 0.158609i −0.172013 + 0.00720950i
\(485\) −5.24037 9.07659i −0.237953 0.412147i
\(486\) −13.0733 + 22.6436i −0.593017 + 1.02714i
\(487\) −13.9195 + 26.6256i −0.630754 + 1.20652i 0.333802 + 0.942643i \(0.391668\pi\)
−0.964556 + 0.263878i \(0.914998\pi\)
\(488\) −7.81596 2.35978i −0.353812 0.106822i
\(489\) −35.8472 28.4122i −1.62107 1.28484i
\(490\) −11.4734 + 15.1156i −0.518315 + 0.682855i
\(491\) 11.4143 + 2.42618i 0.515119 + 0.109492i 0.458134 0.888883i \(-0.348518\pi\)
0.0569850 + 0.998375i \(0.481851\pi\)
\(492\) 6.23821 + 0.261458i 0.281240 + 0.0117875i
\(493\) 1.69532 + 3.24285i 0.0763533 + 0.146050i
\(494\) −0.461922 2.42148i −0.0207828 0.108947i
\(495\) 2.67537 + 2.73200i 0.120249 + 0.122794i
\(496\) −20.8218 + 10.3360i −0.934926 + 0.464101i
\(497\) −4.17994 + 0.528049i −0.187496 + 0.0236862i
\(498\) 37.9939 + 32.7954i 1.70255 + 1.46960i
\(499\) −0.581237 + 0.645529i −0.0260197 + 0.0288979i −0.756014 0.654555i \(-0.772856\pi\)
0.729994 + 0.683453i \(0.239523\pi\)
\(500\) 3.04799 2.63095i 0.136310 0.117660i
\(501\) −0.684771 + 32.6906i −0.0305933 + 1.46051i
\(502\) −11.8248 15.5786i −0.527767 0.695307i
\(503\) 5.46705 + 11.6181i 0.243764 + 0.518025i 0.988845 0.148949i \(-0.0475892\pi\)
−0.745081 + 0.666974i \(0.767589\pi\)
\(504\) −3.89191 + 2.35702i −0.173359 + 0.104990i
\(505\) 15.7601 + 22.6758i 0.701316 + 1.00906i
\(506\) −5.94572 + 5.58341i −0.264320 + 0.248213i
\(507\) 8.64000 + 23.2323i 0.383716 + 1.03178i
\(508\) 2.80688 0.235700i 0.124535 0.0104575i
\(509\) 4.41214 29.8790i 0.195565 1.32436i −0.637184 0.770711i \(-0.719901\pi\)
0.832749 0.553651i \(-0.186766\pi\)
\(510\) 12.7580 + 11.9805i 0.564932 + 0.530507i
\(511\) −0.568463 + 1.35232i −0.0251473 + 0.0598231i
\(512\) −20.5291 14.9153i −0.907267 0.659168i
\(513\) −0.0955782 + 1.51917i −0.00421988 + 0.0670730i
\(514\) 4.89935 7.04924i 0.216101 0.310929i
\(515\) −2.71725 18.4012i −0.119736 0.810852i
\(516\) 1.91078 + 8.14666i 0.0841175 + 0.358637i
\(517\) 1.20360 0.874465i 0.0529341 0.0384589i
\(518\) 0.101641 + 0.160161i 0.00446585 + 0.00703705i
\(519\) −17.6437 7.85547i −0.774472 0.344817i
\(520\) −6.68045 + 8.07527i −0.292957 + 0.354124i
\(521\) 12.1377 + 4.80564i 0.531761 + 0.210539i 0.618632 0.785681i \(-0.287687\pi\)
−0.0868718 + 0.996219i \(0.527687\pi\)
\(522\) 4.25025 1.28323i 0.186028 0.0561652i
\(523\) −4.44099 + 23.2805i −0.194191 + 1.01799i 0.743032 + 0.669256i \(0.233387\pi\)
−0.937223 + 0.348730i \(0.886613\pi\)
\(524\) 4.19214 2.78525i 0.183134 0.121674i
\(525\) −0.00375624 + 0.00591889i −0.000163936 + 0.000258322i
\(526\) −2.31466 36.7905i −0.100924 1.60414i
\(527\) 16.4921 + 9.98795i 0.718405 + 0.435082i
\(528\) 0.532557 5.06695i 0.0231766 0.220511i
\(529\) −6.47370 + 61.5931i −0.281465 + 2.67796i
\(530\) 21.1375 + 12.8013i 0.918154 + 0.556054i
\(531\) 1.16186 + 18.4673i 0.0504206 + 0.801412i
\(532\) −0.145513 + 0.229292i −0.00630880 + 0.00994108i
\(533\) −9.57964 + 6.36470i −0.414940 + 0.275686i
\(534\) 7.16521 37.5613i 0.310069 1.62544i
\(535\) 7.96352 2.40433i 0.344293 0.103948i
\(536\) 41.0431 + 16.2501i 1.77279 + 0.701899i
\(537\) 32.9408 39.8186i 1.42150 1.71830i
\(538\) 24.0528 + 10.7090i 1.03699 + 0.461697i
\(539\) −2.45517 3.86874i −0.105752 0.166638i
\(540\) 0.798554 0.580184i 0.0343643 0.0249671i
\(541\) −4.56595 19.4670i −0.196306 0.836953i −0.977205 0.212297i \(-0.931906\pi\)
0.780900 0.624657i \(-0.214761\pi\)
\(542\) 5.20785 + 35.2675i 0.223696 + 1.51487i
\(543\) −2.87550 + 4.13730i −0.123399 + 0.177549i
\(544\) −0.329770 + 5.24154i −0.0141388 + 0.224729i
\(545\) −1.27544 0.926661i −0.0546338 0.0396938i
\(546\) 1.09571 2.60660i 0.0468922 0.111552i
\(547\) 26.0476 + 24.4603i 1.11371 + 1.04585i 0.998621 + 0.0524911i \(0.0167161\pi\)
0.115091 + 0.993355i \(0.463284\pi\)
\(548\) 0.902930 6.11463i 0.0385712 0.261204i
\(549\) 6.66439 0.559625i 0.284429 0.0238842i
\(550\) −0.00151976 0.00408652i −6.48029e−5 0.000174250i
\(551\) 1.26644 1.18927i 0.0539523 0.0506646i
\(552\) −37.1968 53.5191i −1.58320 2.27793i
\(553\) −1.74110 + 1.05445i −0.0740391 + 0.0448397i
\(554\) 5.08372 + 10.8034i 0.215986 + 0.458994i
\(555\) 0.770171 + 1.01466i 0.0326919 + 0.0430700i
\(556\) −0.102679 + 4.90185i −0.00435457 + 0.207885i
\(557\) 18.3635 15.8510i 0.778088 0.671627i −0.171481 0.985188i \(-0.554855\pi\)
0.949568 + 0.313560i \(0.101522\pi\)
\(558\) 15.6531 17.3845i 0.662647 0.735944i
\(559\) −11.6683 10.0718i −0.493515 0.425990i
\(560\) −4.24817 + 0.536668i −0.179518 + 0.0226784i
\(561\) −3.78507 + 1.87893i −0.159806 + 0.0793283i
\(562\) 11.8672 + 12.1184i 0.500586 + 0.511182i
\(563\) 1.34236 + 7.03691i 0.0565738 + 0.296570i 0.999317 0.0369487i \(-0.0117638\pi\)
−0.942743 + 0.333519i \(0.891764\pi\)
\(564\) 0.840079 + 1.60692i 0.0353737 + 0.0676637i
\(565\) −13.4400 0.563304i −0.565426 0.0236984i
\(566\) 30.8193 + 6.55085i 1.29543 + 0.275353i
\(567\) −3.78626 + 4.98821i −0.159008 + 0.209485i
\(568\) 16.4096 + 13.0061i 0.688533 + 0.545724i
\(569\) 16.6525 + 5.02770i 0.698111 + 0.210772i 0.618190 0.786029i \(-0.287866\pi\)
0.0799214 + 0.996801i \(0.474533\pi\)
\(570\) 3.84960 7.36361i 0.161242 0.308428i
\(571\) 2.72522 4.72022i 0.114047 0.197535i −0.803351 0.595505i \(-0.796952\pi\)
0.917398 + 0.397970i \(0.130285\pi\)
\(572\) −0.192987 0.334263i −0.00806918 0.0139762i
\(573\) −5.29007 + 0.221719i −0.220996 + 0.00926246i
\(574\) −5.69195 0.962721i −0.237577 0.0401832i
\(575\) −0.0397847 0.0218718i −0.00165914 0.000912119i
\(576\) 21.2811 + 5.46405i 0.886711 + 0.227669i
\(577\) −20.6507 + 5.30221i −0.859702 + 0.220734i −0.652709 0.757609i \(-0.726368\pi\)
−0.206993 + 0.978342i \(0.566368\pi\)
\(578\) 11.4151 6.27548i 0.474804 0.261026i
\(579\) 24.0858 8.38757i 1.00097 0.348575i
\(580\) −1.11769 0.141197i −0.0464096 0.00586289i
\(581\) 6.81510 + 7.56893i 0.282738 + 0.314012i
\(582\) −0.294303 14.0499i −0.0121992 0.582385i
\(583\) −4.67608 + 3.70621i −0.193663 + 0.153496i
\(584\) 6.77855 2.68382i 0.280498 0.111057i
\(585\) 2.65290 8.16477i 0.109684 0.337572i
\(586\) 21.9591 22.4239i 0.907123 0.926323i
\(587\) −36.6745 24.3665i −1.51372 1.00571i −0.987896 0.155119i \(-0.950424\pi\)
−0.525823 0.850594i \(-0.676243\pi\)
\(588\) 5.10183 2.27148i 0.210396 0.0936744i
\(589\) 2.46168 8.81674i 0.101432 0.363287i
\(590\) −7.45692 + 20.0511i −0.306997 + 0.825489i
\(591\) −16.2290 38.6073i −0.667572 1.58809i
\(592\) 0.175232 0.747107i 0.00720200 0.0307059i
\(593\) −20.0039 1.67977i −0.821461 0.0689800i −0.334491 0.942399i \(-0.608565\pi\)
−0.486970 + 0.873419i \(0.661898\pi\)
\(594\) −0.292016 1.04588i −0.0119816 0.0429131i
\(595\) 2.26382 + 2.73649i 0.0928076 + 0.112185i
\(596\) 1.62557 + 5.00300i 0.0665861 + 0.204931i
\(597\) −21.1184 10.4833i −0.864319 0.429052i
\(598\) 17.2935 + 6.02225i 0.707185 + 0.246268i
\(599\) −34.9750 + 5.91558i −1.42904 + 0.241704i −0.829440 0.558596i \(-0.811340\pi\)
−0.599600 + 0.800300i \(0.704674\pi\)
\(600\) 0.0340783 0.00724357i 0.00139124 0.000295718i
\(601\) 5.11080 10.8610i 0.208474 0.443029i −0.773056 0.634337i \(-0.781273\pi\)
0.981530 + 0.191308i \(0.0612730\pi\)
\(602\) −0.808700 7.69427i −0.0329602 0.313595i
\(603\) −36.1595 −1.47253
\(604\) 4.31136 + 0.988511i 0.175427 + 0.0402219i
\(605\) 23.5172 0.956111
\(606\) 3.87036 + 36.8240i 0.157222 + 1.49587i
\(607\) 2.10908 4.48203i 0.0856050 0.181920i −0.857441 0.514582i \(-0.827947\pi\)
0.943046 + 0.332662i \(0.107947\pi\)
\(608\) 2.43897 0.518418i 0.0989131 0.0210246i
\(609\) 1.96480 0.332321i 0.0796176 0.0134663i
\(610\) 7.30193 + 2.54280i 0.295646 + 0.102955i
\(611\) −2.99181 1.48515i −0.121036 0.0600827i
\(612\) −0.719585 2.21465i −0.0290875 0.0895221i
\(613\) 0.499860 + 0.604226i 0.0201891 + 0.0244045i 0.780511 0.625142i \(-0.214959\pi\)
−0.760322 + 0.649546i \(0.774959\pi\)
\(614\) 4.28696 + 15.3542i 0.173008 + 0.619644i
\(615\) −38.6309 3.24393i −1.55775 0.130808i
\(616\) 0.290037 1.23658i 0.0116859 0.0498232i
\(617\) 2.81786 + 6.70344i 0.113443 + 0.269870i 0.968656 0.248407i \(-0.0799070\pi\)
−0.855213 + 0.518277i \(0.826574\pi\)
\(618\) 8.69355 23.3763i 0.349706 0.940331i
\(619\) −7.61026 + 27.2569i −0.305882 + 1.09555i 0.639288 + 0.768968i \(0.279229\pi\)
−0.945170 + 0.326579i \(0.894104\pi\)
\(620\) −5.42276 + 2.41437i −0.217783 + 0.0969634i
\(621\) −9.41814 6.25740i −0.377937 0.251101i
\(622\) −11.8232 + 12.0735i −0.474067 + 0.484102i
\(623\) 2.39787 7.37989i 0.0960686 0.295669i
\(624\) −10.6354 + 4.21085i −0.425756 + 0.168569i
\(625\) −19.5730 + 15.5134i −0.782921 + 0.620535i
\(626\) −0.312978 14.9414i −0.0125091 0.597178i
\(627\) 1.34246 + 1.49095i 0.0536127 + 0.0595429i
\(628\) −3.95584 0.499738i −0.157855 0.0199417i
\(629\) −0.601078 + 0.209317i −0.0239665 + 0.00834603i
\(630\) 3.77602 2.07588i 0.150440 0.0827052i
\(631\) −47.0025 + 12.0682i −1.87114 + 0.480427i −0.999945 0.0105073i \(-0.996655\pi\)
−0.871196 + 0.490935i \(0.836655\pi\)
\(632\) 9.79838 + 2.51580i 0.389759 + 0.100073i
\(633\) 33.9139 + 18.6443i 1.34796 + 0.741045i
\(634\) 20.5562 + 3.47682i 0.816390 + 0.138082i
\(635\) −17.4738 + 0.732370i −0.693428 + 0.0290632i
\(636\) −3.63617 6.29802i −0.144183 0.249733i
\(637\) −5.14364 + 8.90905i −0.203798 + 0.352989i
\(638\) −0.574189 + 1.09832i −0.0227324 + 0.0434830i
\(639\) −16.4199 4.95746i −0.649561 0.196114i
\(640\) 12.8666 + 10.1979i 0.508595 + 0.403108i
\(641\) 15.6616 20.6334i 0.618597 0.814972i −0.375110 0.926980i \(-0.622395\pi\)
0.993707 + 0.112009i \(0.0357284\pi\)
\(642\) 10.9101 + 2.31901i 0.430587 + 0.0915240i
\(643\) 29.3263 + 1.22914i 1.15652 + 0.0484725i 0.612408 0.790542i \(-0.290201\pi\)
0.544110 + 0.839014i \(0.316868\pi\)
\(644\) −0.934617 1.78776i −0.0368291 0.0704475i
\(645\) −9.73541 51.0348i −0.383331 2.00949i
\(646\) 2.90477 + 2.96626i 0.114287 + 0.116706i
\(647\) 31.1097 15.4430i 1.22305 0.607126i 0.286639 0.958039i \(-0.407462\pi\)
0.936408 + 0.350913i \(0.114129\pi\)
\(648\) 30.8780 3.90080i 1.21300 0.153238i
\(649\) −3.91015 3.37515i −0.153487 0.132486i
\(650\) −0.00654993 + 0.00727443i −0.000256909 + 0.000285327i
\(651\) 7.94816 6.86067i 0.311513 0.268891i
\(652\) −0.147356 + 7.03472i −0.00577092 + 0.275501i
\(653\) −11.6902 15.4013i −0.457474 0.602700i 0.508588 0.861010i \(-0.330168\pi\)
−0.966062 + 0.258310i \(0.916834\pi\)
\(654\) −0.900041 1.91268i −0.0351944 0.0747918i
\(655\) −26.7302 + 16.1884i −1.04444 + 0.632533i
\(656\) 13.3282 + 19.1767i 0.520378 + 0.748726i
\(657\) −4.35339 + 4.08811i −0.169842 + 0.159492i
\(658\) −0.584385 1.57136i −0.0227817 0.0612581i
\(659\) 36.9613 3.10373i 1.43981 0.120904i 0.662046 0.749463i \(-0.269688\pi\)
0.777762 + 0.628559i \(0.216355\pi\)
\(660\) 0.190052 1.28703i 0.00739776 0.0500976i
\(661\) −10.7694 10.1131i −0.418880 0.393355i 0.446245 0.894911i \(-0.352761\pi\)
−0.865125 + 0.501556i \(0.832761\pi\)
\(662\) −3.81792 + 9.08246i −0.148388 + 0.353000i
\(663\) 7.67549 + 5.57657i 0.298091 + 0.216576i
\(664\) 3.17834 50.5182i 0.123343 1.96049i
\(665\) 0.962313 1.38459i 0.0373169 0.0536920i
\(666\) 0.112811 + 0.763952i 0.00437132 + 0.0296025i
\(667\) 2.94698 + 12.5645i 0.114107 + 0.486499i
\(668\) 4.06920 2.95645i 0.157442 0.114388i
\(669\) −13.0630 20.5840i −0.505044 0.795822i
\(670\) −38.1908 17.0036i −1.47544 0.656908i
\(671\) −1.19002 + 1.43849i −0.0459402 + 0.0555321i
\(672\) 2.65917 + 1.05284i 0.102580 + 0.0406141i
\(673\) 43.7633 13.2129i 1.68695 0.509321i 0.706773 0.707440i \(-0.250150\pi\)
0.980178 + 0.198120i \(0.0634835\pi\)
\(674\) 8.51902 44.6583i 0.328140 1.72017i
\(675\) 0.00503445 0.00334488i 0.000193776 0.000128745i
\(676\) 2.04305 3.21933i 0.0785787 0.123820i
\(677\) 2.48567 + 39.5086i 0.0955320 + 1.51844i 0.695565 + 0.718463i \(0.255154\pi\)
−0.600033 + 0.799975i \(0.704846\pi\)
\(678\) −15.4279 9.34349i −0.592506 0.358834i
\(679\) 0.298087 2.83611i 0.0114395 0.108840i
\(680\) 1.84499 17.5539i 0.0707519 0.673160i
\(681\) −18.9513 11.4773i −0.726217 0.439813i
\(682\) 0.410036 + 6.51733i 0.0157011 + 0.249561i
\(683\) −5.69982 + 8.98147i −0.218097 + 0.343667i −0.935706 0.352780i \(-0.885237\pi\)
0.717609 + 0.696446i \(0.245237\pi\)
\(684\) −0.920848 + 0.611810i −0.0352095 + 0.0233931i
\(685\) −7.19118 + 37.6975i −0.274761 + 1.44035i
\(686\) −10.1619 + 3.06805i −0.387982 + 0.117139i
\(687\) −25.6116 10.1403i −0.977142 0.386878i
\(688\) −19.9503 + 24.1157i −0.760596 + 0.919403i
\(689\) 12.2379 + 5.44868i 0.466228 + 0.207578i
\(690\) 33.0733 + 52.1153i 1.25908 + 1.98399i
\(691\) 21.1355 15.3558i 0.804033 0.584164i −0.108062 0.994144i \(-0.534464\pi\)
0.912094 + 0.409980i \(0.134464\pi\)
\(692\) 0.678413 + 2.89243i 0.0257894 + 0.109954i
\(693\) 0.151989 + 1.02926i 0.00577357 + 0.0390985i
\(694\) −15.1161 + 21.7492i −0.573798 + 0.825587i
\(695\) 1.91148 30.3821i 0.0725065 1.15246i
\(696\) −8.01208 5.82112i −0.303697 0.220649i
\(697\) 7.50613 17.8564i 0.284315 0.676358i
\(698\) 6.50401 + 6.10768i 0.246181 + 0.231179i
\(699\) 8.90358 60.2949i 0.336764 2.28056i
\(700\) 0.00107457 9.02345e-5i 4.06151e−5 3.41054e-6i
\(701\) 7.21401 + 19.3979i 0.272469 + 0.732648i 0.998965 + 0.0454773i \(0.0144809\pi\)
−0.726496 + 0.687171i \(0.758852\pi\)
\(702\) −1.77720 + 1.66890i −0.0670759 + 0.0629885i
\(703\) 0.172460 + 0.248137i 0.00650445 + 0.00935868i
\(704\) −5.24623 + 3.17723i −0.197725 + 0.119746i
\(705\) −4.79364 10.1870i −0.180539 0.383665i
\(706\) −0.708323 0.933181i −0.0266581 0.0351207i
\(707\) −0.157356 + 7.51211i −0.00591799 + 0.282522i
\(708\) 4.76575 4.11369i 0.179108 0.154602i
\(709\) 2.06166 2.28971i 0.0774274 0.0859919i −0.703186 0.711006i \(-0.748240\pi\)
0.780614 + 0.625014i \(0.214907\pi\)
\(710\) −15.0111 12.9572i −0.563356 0.486276i
\(711\) −8.22129 + 1.03859i −0.308323 + 0.0389502i
\(712\) −34.5427 + 17.1471i −1.29454 + 0.642617i
\(713\) 47.5767 + 48.5837i 1.78176 + 1.81947i
\(714\) 0.892308 + 4.67764i 0.0333938 + 0.175056i
\(715\) 1.11029 + 2.12379i 0.0415224 + 0.0794251i
\(716\) −7.94252 0.332890i −0.296826 0.0124407i
\(717\) 42.2873 + 8.98845i 1.57925 + 0.335680i
\(718\) −0.966892 + 1.27383i −0.0360841 + 0.0475390i
\(719\) 18.4018 + 14.5851i 0.686273 + 0.543933i 0.901580 0.432613i \(-0.142408\pi\)
−0.215306 + 0.976547i \(0.569075\pi\)
\(720\) −16.6879 5.03838i −0.621922 0.187769i
\(721\) 2.34479 4.48517i 0.0873246 0.167037i
\(722\) −11.1805 + 19.3653i −0.416097 + 0.720701i
\(723\) 8.82619 + 15.2874i 0.328250 + 0.568545i
\(724\) 0.774367 0.0324556i 0.0287791 0.00120620i
\(725\) −0.00680199 0.00115047i −0.000252620 4.27274e-5i
\(726\) 27.6323 + 15.1910i 1.02553 + 0.563790i
\(727\) −43.5960 11.1936i −1.61689 0.415146i −0.671476 0.741026i \(-0.734339\pi\)
−0.945411 + 0.325880i \(0.894339\pi\)
\(728\) −2.76204 + 0.709172i −0.102368 + 0.0262836i
\(729\) −14.7933 + 8.13268i −0.547900 + 0.301210i
\(730\) −6.52033 + 2.27062i −0.241328 + 0.0840394i
\(731\) 25.7547 + 3.25357i 0.952571 + 0.120338i
\(732\) −1.52256 1.69098i −0.0562755 0.0625002i
\(733\) 0.474884 + 22.6707i 0.0175402 + 0.837362i 0.916662 + 0.399663i \(0.130873\pi\)
−0.899122 + 0.437699i \(0.855794\pi\)
\(734\) 6.69926 5.30977i 0.247274 0.195987i
\(735\) −32.2399 + 12.7647i −1.18919 + 0.470833i
\(736\) −5.72374 + 17.6159i −0.210980 + 0.649330i
\(737\) 7.06238 7.21187i 0.260146 0.265653i
\(738\) −19.5747 13.0054i −0.720554 0.478735i
\(739\) −20.5560 + 9.15213i −0.756166 + 0.336667i −0.748351 0.663303i \(-0.769154\pi\)
−0.00781464 + 0.999969i \(0.502488\pi\)
\(740\) 0.0526957 0.188735i 0.00193713 0.00693803i
\(741\) 1.57009 4.22185i 0.0576788 0.155094i
\(742\) 2.60560 + 6.19847i 0.0956545 + 0.227553i
\(743\) −9.41675 + 40.1485i −0.345467 + 1.47291i 0.464050 + 0.885809i \(0.346396\pi\)
−0.809517 + 0.587097i \(0.800271\pi\)
\(744\) −51.9987 4.36646i −1.90637 0.160082i
\(745\) −8.78348 31.4589i −0.321802 1.15257i
\(746\) 16.5444 + 19.9988i 0.605735 + 0.732208i
\(747\) 12.8129 + 39.4342i 0.468801 + 1.44282i
\(748\) 0.582247 + 0.289030i 0.0212890 + 0.0105680i
\(749\) 2.13752 + 0.744362i 0.0781032 + 0.0271984i
\(750\) −33.0514 + 5.59023i −1.20687 + 0.204126i
\(751\) −37.1361 + 7.89352i −1.35512 + 0.288039i −0.827510 0.561451i \(-0.810243\pi\)
−0.527606 + 0.849489i \(0.676910\pi\)
\(752\) −2.88774 + 6.13676i −0.105305 + 0.223785i
\(753\) −3.73553 35.5412i −0.136130 1.29519i
\(754\) 2.78253 0.101334
\(755\) −26.4886 7.25322i −0.964020 0.263972i
\(756\) 0.268573 0.00976792
\(757\) 1.62952 + 15.5039i 0.0592259 + 0.563497i 0.983390 + 0.181503i \(0.0580961\pi\)
−0.924165 + 0.381995i \(0.875237\pi\)
\(758\) −4.30953 + 9.15822i −0.156529 + 0.332641i
\(759\) −14.5778 + 3.09860i −0.529140 + 0.112472i
\(760\) −8.26262 + 1.39752i −0.299717 + 0.0506933i
\(761\) 15.4117 + 5.36693i 0.558674 + 0.194551i 0.593488 0.804843i \(-0.297750\pi\)
−0.0348137 + 0.999394i \(0.511084\pi\)
\(762\) −21.0045 10.4267i −0.760913 0.377721i
\(763\) −0.132556 0.407967i −0.00479886 0.0147694i
\(764\) 0.519163 + 0.627560i 0.0187826 + 0.0227043i
\(765\) 3.88814 + 13.9258i 0.140576 + 0.503487i
\(766\) 15.6624 + 1.31521i 0.565906 + 0.0475205i
\(767\) −2.64817 + 11.2905i −0.0956198 + 0.407677i
\(768\) −7.56478 17.9959i −0.272971 0.649372i
\(769\) −2.58614 + 6.95391i −0.0932585 + 0.250764i −0.975487 0.220057i \(-0.929376\pi\)
0.882229 + 0.470821i \(0.156042\pi\)
\(770\) −0.323474 + 1.15856i −0.0116572 + 0.0417514i
\(771\) 14.3298 6.38006i 0.516077 0.229772i
\(772\) −3.26778 2.17111i −0.117610 0.0781399i
\(773\) 11.3165 11.5560i 0.407027 0.415642i −0.480067 0.877232i \(-0.659388\pi\)
0.887093 + 0.461590i \(0.152721\pi\)
\(774\) 9.73287 29.9547i 0.349841 1.07670i
\(775\) −0.0337964 + 0.0133809i −0.00121400 + 0.000480658i
\(776\) −11.1071 + 8.80335i −0.398720 + 0.316022i
\(777\) 0.00725876 + 0.346530i 0.000260407 + 0.0124317i
\(778\) −16.8011 18.6595i −0.602347 0.668974i
\(779\) −9.12374 1.15260i −0.326892 0.0412961i
\(780\) −2.75842 + 0.960584i −0.0987673 + 0.0343944i
\(781\) 4.19574 2.30663i 0.150135 0.0825377i
\(782\) −29.8715 + 7.66969i −1.06820 + 0.274268i
\(783\) −1.66417 0.427287i −0.0594727 0.0152700i
\(784\) 18.3048 + 10.0631i 0.653741 + 0.359397i
\(785\) 24.4102 + 4.12867i 0.871237 + 0.147359i
\(786\) −41.8645 + 1.75464i −1.49326 + 0.0625860i
\(787\) −23.4637 40.6403i −0.836390 1.44867i −0.892893 0.450268i \(-0.851328\pi\)
0.0565031 0.998402i \(-0.482005\pi\)
\(788\) −3.22111 + 5.57913i −0.114747 + 0.198748i
\(789\) 31.2064 59.6923i 1.11098 2.12510i
\(790\) −9.17152 2.76904i −0.326308 0.0985182i
\(791\) −2.86843 2.27349i −0.101990 0.0808359i
\(792\) 3.12625 4.11868i 0.111086 0.146351i
\(793\) 4.09989 + 0.871459i 0.145592 + 0.0309464i
\(794\) −14.9973 0.628571i −0.532233 0.0223072i
\(795\) 20.9195 + 40.0154i 0.741939 + 1.41920i
\(796\) 0.679598 + 3.56258i 0.0240877 + 0.126272i
\(797\) −10.8362 11.0656i −0.383840 0.391964i 0.495148 0.868809i \(-0.335114\pi\)
−0.878988 + 0.476845i \(0.841780\pi\)
\(798\) 2.02508 1.00526i 0.0716869 0.0355857i
\(799\) 5.58096 0.705040i 0.197440 0.0249425i
\(800\) −0.00749511 0.00646960i −0.000264992 0.000228735i
\(801\) 21.1378 23.4759i 0.746867 0.829480i
\(802\) 17.2097 14.8550i 0.607695 0.524548i
\(803\) 0.0349128 1.66672i 0.00123205 0.0588173i
\(804\) 7.43820 + 9.79947i 0.262325 + 0.345601i
\(805\) 5.33309 + 11.3334i 0.187967 + 0.399450i
\(806\) 12.5407 7.59491i 0.441727 0.267519i
\(807\) 27.4564 + 39.5046i 0.966512 + 1.39063i
\(808\) 27.2214 25.5626i 0.957646 0.899290i
\(809\) −9.78764 26.3182i −0.344115 0.925298i −0.987198 0.159501i \(-0.949011\pi\)
0.643083 0.765797i \(-0.277655\pi\)
\(810\) −29.3717 + 2.46641i −1.03202 + 0.0866607i
\(811\) 5.10750 34.5879i 0.179348 1.21455i −0.691274 0.722593i \(-0.742950\pi\)
0.870622 0.491952i \(-0.163717\pi\)
\(812\) −0.223452 0.209835i −0.00784163 0.00736378i
\(813\) −25.2429 + 60.0505i −0.885307 + 2.10606i
\(814\) −0.174400 0.126709i −0.00611272 0.00444115i
\(815\) 2.74319 43.6017i 0.0960897 1.52730i
\(816\) 10.9945 15.8190i 0.384883 0.553774i
\(817\) −1.80044 12.1925i −0.0629893 0.426563i
\(818\) 7.13265 + 30.4102i 0.249387 + 1.06327i
\(819\) 1.88978 1.37301i 0.0660343 0.0479767i
\(820\) 3.19535 + 5.03506i 0.111586 + 0.175832i
\(821\) 31.1581 + 13.8725i 1.08742 + 0.484152i 0.870566 0.492051i \(-0.163753\pi\)
0.216857 + 0.976203i \(0.430419\pi\)
\(822\) −32.8003 + 39.6487i −1.14404 + 1.38291i
\(823\) −4.40871 1.74553i −0.153678 0.0608454i 0.290026 0.957019i \(-0.406336\pi\)
−0.443704 + 0.896173i \(0.646336\pi\)
\(824\) −24.0795 + 7.27003i −0.838849 + 0.253263i
\(825\) 0.00149280 0.00782551i 5.19725e−5 0.000272449i
\(826\) −4.84827 + 3.22118i −0.168693 + 0.112079i
\(827\) −8.66415 + 13.6525i −0.301282 + 0.474745i −0.960915 0.276843i \(-0.910712\pi\)
0.659633 + 0.751588i \(0.270712\pi\)
\(828\) −0.515673 8.19639i −0.0179209 0.284844i
\(829\) 30.8322 + 18.6726i 1.07085 + 0.648528i 0.939410 0.342797i \(-0.111374\pi\)
0.131437 + 0.991325i \(0.458041\pi\)
\(830\) −5.01080 + 47.6746i −0.173927 + 1.65481i
\(831\) −2.28046 + 21.6971i −0.0791083 + 0.752665i
\(832\) 11.7785 + 7.13331i 0.408346 + 0.247303i
\(833\) −1.08787 17.2912i −0.0376924 0.599103i
\(834\) 21.8713 34.4637i 0.757341 1.19338i
\(835\) −26.0121 + 17.2824i −0.900184 + 0.598081i
\(836\) 0.0578295 0.303153i 0.00200007 0.0104848i
\(837\) −8.66662 + 2.61661i −0.299562 + 0.0904432i
\(838\) −4.81222 1.90529i −0.166235 0.0658173i
\(839\) 18.8122 22.7400i 0.649468 0.785072i −0.338294 0.941040i \(-0.609850\pi\)
0.987762 + 0.155969i \(0.0498499\pi\)
\(840\) −8.78089 3.90950i −0.302969 0.134891i
\(841\) −14.4882 22.8298i −0.499594 0.787234i
\(842\) 16.4542 11.9547i 0.567049 0.411986i
\(843\) 7.07704 + 30.1731i 0.243746 + 1.03922i
\(844\) −0.869669 5.88939i −0.0299353 0.202721i
\(845\) −13.5111 + 19.4400i −0.464797 + 0.668755i
\(846\) 0.428554 6.81168i 0.0147340 0.234190i
\(847\) 5.17678 + 3.76115i 0.177876 + 0.129235i
\(848\) 10.5408 25.0756i 0.361973 0.861100i
\(849\) 41.9680 + 39.4106i 1.44034 + 1.35257i
\(850\) 0.00240828 0.0163088i 8.26033e−5 0.000559388i
\(851\) −2.23687 + 0.187835i −0.0766789 + 0.00643891i
\(852\) 2.03415 + 5.46967i 0.0696889 + 0.187388i
\(853\) 33.5690 31.5234i 1.14938 1.07934i 0.153549 0.988141i \(-0.450930\pi\)
0.995833 0.0912001i \(-0.0290703\pi\)
\(854\) 1.20068 + 1.72755i 0.0410864 + 0.0591155i
\(855\) 5.87157 3.55595i 0.200804 0.121611i
\(856\) −4.78954 10.1783i −0.163703 0.347887i
\(857\) −2.67486 3.52400i −0.0913716 0.120378i 0.748567 0.663059i \(-0.230742\pi\)
−0.839938 + 0.542682i \(0.817409\pi\)
\(858\) −0.0672944 + 3.21260i −0.00229739 + 0.109676i
\(859\) −7.14940 + 6.17120i −0.243934 + 0.210558i −0.766851 0.641826i \(-0.778177\pi\)
0.522916 + 0.852384i \(0.324844\pi\)
\(860\) −5.34776 + 5.93929i −0.182357 + 0.202528i
\(861\) −7.98490 6.89238i −0.272125 0.234892i
\(862\) 5.03302 0.635818i 0.171425 0.0216561i
\(863\) 32.4913 16.1288i 1.10602 0.549032i 0.203235 0.979130i \(-0.434854\pi\)
0.902782 + 0.430098i \(0.141521\pi\)
\(864\) −1.72534 1.76186i −0.0586973 0.0599397i
\(865\) −3.45651 18.1197i −0.117525 0.616087i
\(866\) −10.4323 19.9551i −0.354503 0.678102i
\(867\) 23.7811 + 0.996723i 0.807648 + 0.0338505i
\(868\) −1.57983 0.335804i −0.0536230 0.0113979i
\(869\) 1.39857 1.84255i 0.0474433 0.0625043i
\(870\) 7.35022 + 5.82571i 0.249196 + 0.197510i
\(871\) −21.6951 6.55014i −0.735110 0.221943i
\(872\) −0.987692 + 1.88928i −0.0334475 + 0.0639791i
\(873\) 5.80475 10.0541i 0.196461 0.340281i
\(874\) 7.32106 + 12.6805i 0.247639 + 0.428923i
\(875\) −6.79633 + 0.284851i −0.229758 + 0.00962971i
\(876\) 2.00342 + 0.338853i 0.0676892 + 0.0114488i
\(877\) 3.54935 + 1.95127i 0.119853 + 0.0658898i 0.540552 0.841310i \(-0.318215\pi\)
−0.420699 + 0.907200i \(0.638215\pi\)
\(878\) −3.47995 0.893500i −0.117443 0.0301542i
\(879\) 55.5461 14.2618i 1.87352 0.481039i
\(880\) 4.26423 2.34428i 0.143747 0.0790256i
\(881\) −25.7550 + 8.96883i −0.867707 + 0.302167i −0.725961 0.687736i \(-0.758605\pi\)
−0.141746 + 0.989903i \(0.545271\pi\)
\(882\) −20.8549 2.63459i −0.702221 0.0887111i
\(883\) −30.4366 33.8032i −1.02427 1.13757i −0.990412 0.138142i \(-0.955887\pi\)
−0.0338591 0.999427i \(-0.510780\pi\)
\(884\) −0.0305639 1.45910i −0.00102797 0.0490750i
\(885\) −30.6340 + 24.2802i −1.02975 + 0.816171i
\(886\) 21.1838 8.38727i 0.711684 0.281776i
\(887\) −15.8576 + 48.8045i −0.532444 + 1.63870i 0.216663 + 0.976247i \(0.430483\pi\)
−0.749107 + 0.662449i \(0.769517\pi\)
\(888\) 1.20523 1.23074i 0.0404448 0.0413009i
\(889\) −3.96359 2.63341i −0.132935 0.0883216i
\(890\) 33.3645 14.8548i 1.11838 0.497936i
\(891\) 1.91386 6.85468i 0.0641168 0.229640i
\(892\) −1.30720 + 3.51497i −0.0437684 + 0.117690i
\(893\) −1.03495 2.46206i −0.0346334 0.0823896i
\(894\) 10.0005 42.6374i 0.334467 1.42601i
\(895\) 49.1850 + 4.13018i 1.64407 + 0.138057i
\(896\) 1.20131 + 4.30261i 0.0401329 + 0.143740i
\(897\) 21.3284 + 25.7816i 0.712134 + 0.860822i
\(898\) 6.98332 + 21.4925i 0.233036 + 0.717212i
\(899\) 9.25494 + 4.59419i 0.308670 + 0.153225i
\(900\) 0.00414584 + 0.00144373i 0.000138195 + 4.81245e-5i
\(901\) −22.2451 + 3.76248i −0.741092 + 0.125346i
\(902\) 6.41704 1.36398i 0.213664 0.0454157i
\(903\) 6.01906 12.7911i 0.200302 0.425663i
\(904\) 1.90141 + 18.0908i 0.0632401 + 0.601689i
\(905\) −4.81224 −0.159964
\(906\) −26.4384 25.6328i −0.878358 0.851592i
\(907\) 5.16425 0.171476 0.0857381 0.996318i \(-0.472675\pi\)
0.0857381 + 0.996318i \(0.472675\pi\)
\(908\) 0.356251 + 3.38950i 0.0118226 + 0.112485i
\(909\) −13.0241 + 27.6776i −0.431982 + 0.918008i
\(910\) 2.64158 0.561486i 0.0875676 0.0186131i
\(911\) −15.9443 + 2.69677i −0.528257 + 0.0893480i −0.424802 0.905286i \(-0.639656\pi\)
−0.103455 + 0.994634i \(0.532990\pi\)
\(912\) −8.63744 3.00788i −0.286014 0.0996007i
\(913\) −10.3675 5.14647i −0.343114 0.170323i
\(914\) −0.918540 2.82697i −0.0303826 0.0935080i
\(915\) 9.00558 + 10.8859i 0.297715 + 0.359876i
\(916\) 1.13950 + 4.08122i 0.0376500 + 0.134847i
\(917\) −8.47309 0.711505i −0.279806 0.0234960i
\(918\) 0.937584 3.99741i 0.0309449 0.131934i
\(919\) −2.45460 5.83926i −0.0809698 0.192620i 0.876334 0.481705i \(-0.159982\pi\)
−0.957303 + 0.289085i \(0.906649\pi\)
\(920\) 21.6986 58.3458i 0.715382 1.92360i
\(921\) −7.83322 + 28.0554i −0.258113 + 0.924458i
\(922\) −11.5036 + 5.12171i −0.378850 + 0.168675i
\(923\) −8.95363 5.94878i −0.294712 0.195806i
\(924\) 0.247673 0.252915i 0.00814783 0.00832029i
\(925\) 0.000370797 0.00114120i 1.21917e−5 3.75223e-5i
\(926\) 33.4372 13.2387i 1.09881 0.435052i
\(927\) 16.1472 12.7981i 0.530344 0.420345i
\(928\) 0.0589421 + 2.81386i 0.00193487 + 0.0923696i
\(929\) −3.83261 4.25655i −0.125744 0.139653i 0.676985 0.735997i \(-0.263286\pi\)
−0.802729 + 0.596344i \(0.796619\pi\)
\(930\) 49.0283 + 6.19372i 1.60770 + 0.203100i
\(931\) −7.76804 + 2.70512i −0.254587 + 0.0886566i
\(932\) −8.21587 + 4.51671i −0.269120 + 0.147950i
\(933\) −29.9071 + 7.67883i −0.979114 + 0.251394i
\(934\) −29.4805 7.56930i −0.964631 0.247675i
\(935\) −3.53683 1.94439i −0.115667 0.0635883i
\(936\) −11.4465 1.93604i −0.374142 0.0632813i
\(937\) 17.8474 0.748028i 0.583049 0.0244370i 0.251471 0.967865i \(-0.419086\pi\)
0.331578 + 0.943428i \(0.392419\pi\)
\(938\) −5.68741 9.85089i −0.185701 0.321643i
\(939\) 13.6536 23.6487i 0.445569 0.771748i
\(940\) −0.802366 + 1.53479i −0.0261703 + 0.0500592i
\(941\) −22.2174 6.70782i −0.724265 0.218669i −0.0945782 0.995517i \(-0.530150\pi\)
−0.629687 + 0.776849i \(0.716817\pi\)
\(942\) 26.0146 + 20.6189i 0.847602 + 0.671801i
\(943\) 41.3024 54.4139i 1.34499 1.77196i
\(944\) 23.0332 + 4.89586i 0.749667 + 0.159347i
\(945\) −1.66610 0.0698303i −0.0541983 0.00227158i
\(946\) 4.07339 + 7.79168i 0.132437 + 0.253329i
\(947\) −2.91977 15.3060i −0.0948797 0.497377i −0.997725 0.0674119i \(-0.978526\pi\)
0.902845 0.429965i \(-0.141474\pi\)
\(948\) 1.97263 + 2.01438i 0.0640679 + 0.0654240i
\(949\) −3.35250 + 1.66420i −0.108827 + 0.0540221i
\(950\) −0.00776521 0.000980974i −0.000251937 3.18270e-5i
\(951\) 28.8371 + 24.8915i 0.935107 + 0.807162i
\(952\) 3.21355 3.56901i 0.104152 0.115672i
\(953\) −14.1364 + 12.2022i −0.457923 + 0.395268i −0.851777 0.523905i \(-0.824475\pi\)
0.393854 + 0.919173i \(0.371141\pi\)
\(954\) −0.573259 + 27.3671i −0.0185599 + 0.886042i
\(955\) −3.05747 4.02807i −0.0989374 0.130345i
\(956\) −2.83154 6.01733i −0.0915786 0.194614i
\(957\) −1.93704 + 1.17311i −0.0626156 + 0.0379214i
\(958\) −23.3531 33.6007i −0.754503 1.08559i
\(959\) −7.61200 + 7.14814i −0.245804 + 0.230826i
\(960\) 16.1788 + 43.5035i 0.522168 + 1.40407i
\(961\) 23.3601 1.96160i 0.753551 0.0632775i
\(962\) −0.0707020 + 0.478793i −0.00227952 + 0.0154369i
\(963\) 6.71705 + 6.30773i 0.216454 + 0.203264i
\(964\) 1.05227 2.50324i 0.0338912 0.0806240i
\(965\) 19.7073 + 14.3182i 0.634399 + 0.460918i
\(966\) −1.05454 + 16.7615i −0.0339293 + 0.539291i
\(967\) 16.0900 23.1504i 0.517418 0.744468i −0.473225 0.880941i \(-0.656910\pi\)
0.990644 + 0.136474i \(0.0435770\pi\)
\(968\) −4.64565 31.4603i −0.149317 1.01117i
\(969\) 1.73227 + 7.38559i 0.0556487 + 0.237259i
\(970\) 10.8587 7.88930i 0.348651 0.253310i
\(971\) −22.1600 34.9186i −0.711149 1.12059i −0.987206 0.159450i \(-0.949028\pi\)
0.276057 0.961141i \(-0.410972\pi\)
\(972\) 6.71381 + 2.98918i 0.215346 + 0.0958781i
\(973\) 5.27982 6.38221i 0.169263 0.204604i
\(974\) −35.7744 14.1641i −1.14628 0.453846i
\(975\) −0.0171228 + 0.00516966i −0.000548367 + 0.000165562i
\(976\) 1.59478 8.36015i 0.0510478 0.267602i
\(977\) 2.58585 1.71803i 0.0827285 0.0549647i −0.511344 0.859376i \(-0.670852\pi\)
0.594073 + 0.804411i \(0.297519\pi\)
\(978\) 31.3878 49.4593i 1.00367 1.58153i
\(979\) 0.553710 + 8.80096i 0.0176966 + 0.281280i
\(980\) 4.56247 + 2.76313i 0.145743 + 0.0882649i
\(981\) 0.182540 1.73675i 0.00582806 0.0554503i
\(982\) −1.56209 + 14.8623i −0.0498483 + 0.474275i
\(983\) −23.3377 14.1338i −0.744356 0.450798i 0.0942414 0.995549i \(-0.469957\pi\)
−0.838598 + 0.544751i \(0.816624\pi\)
\(984\) 3.29166 + 52.3195i 0.104934 + 1.66788i
\(985\) 21.4328 33.7728i 0.682907 1.07609i
\(986\) −3.90323 + 2.59330i −0.124304 + 0.0825875i
\(987\) 0.574016 3.00909i 0.0182711 0.0957805i
\(988\) −0.663319 + 0.200268i −0.0211030 + 0.00637137i
\(989\) 85.1243 + 33.7031i 2.70680 + 1.07170i
\(990\) −3.12141 + 3.77314i −0.0992050 + 0.119918i
\(991\) −15.1257 6.73441i −0.480485 0.213926i 0.152178 0.988353i \(-0.451371\pi\)
−0.632663 + 0.774427i \(0.718038\pi\)
\(992\) 7.94610 + 12.5210i 0.252289 + 0.397544i
\(993\) −14.5642 + 10.5815i −0.462180 + 0.335794i
\(994\) −1.23208 5.25299i −0.0390791 0.166615i
\(995\) −3.28962 22.2772i −0.104288 0.706236i
\(996\) 8.05123 11.5842i 0.255113 0.367060i
\(997\) −3.83850 + 61.0112i −0.121567 + 1.93225i 0.189545 + 0.981872i \(0.439299\pi\)
−0.311111 + 0.950373i \(0.600701\pi\)
\(998\) −0.899969 0.653866i −0.0284880 0.0206978i
\(999\) 0.115809 0.275500i 0.00366405 0.00871642i
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 151.2.k.a.37.8 480
151.49 even 75 inner 151.2.k.a.49.8 yes 480
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
151.2.k.a.37.8 480 1.1 even 1 trivial
151.2.k.a.49.8 yes 480 151.49 even 75 inner