Properties

Label 930.2.bt.a.13.1
Level $930$
Weight $2$
Character 930.13
Analytic conductor $7.426$
Analytic rank $0$
Dimension $256$
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] = [930,2,Mod(13,930)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(930, base_ring=CyclotomicField(60))
 
chi = DirichletCharacter(H, H._module([0, 45, 22]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("930.13");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 930.bt (of order \(60\), degree \(16\), 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: \(7.42608738798\)
Analytic rank: \(0\)
Dimension: \(256\)
Relative dimension: \(16\) over \(\Q(\zeta_{60})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{60}]$

Embedding invariants

Embedding label 13.1
Character \(\chi\) \(=\) 930.13
Dual form 930.2.bt.a.787.1

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.156434 + 0.987688i) q^{2} +(0.358368 - 0.933580i) q^{3} +(-0.951057 - 0.309017i) q^{4} +(-1.68012 - 1.47553i) q^{5} +(0.866025 + 0.500000i) q^{6} +(-1.74433 - 0.0914165i) q^{7} +(0.453990 - 0.891007i) q^{8} +(-0.743145 - 0.669131i) q^{9} +O(q^{10})\) \(q+(-0.156434 + 0.987688i) q^{2} +(0.358368 - 0.933580i) q^{3} +(-0.951057 - 0.309017i) q^{4} +(-1.68012 - 1.47553i) q^{5} +(0.866025 + 0.500000i) q^{6} +(-1.74433 - 0.0914165i) q^{7} +(0.453990 - 0.891007i) q^{8} +(-0.743145 - 0.669131i) q^{9} +(1.72019 - 1.42861i) q^{10} +(-0.980098 - 4.61100i) q^{11} +(-0.629320 + 0.777146i) q^{12} +(3.46751 + 4.28202i) q^{13} +(0.363165 - 1.70855i) q^{14} +(-1.97963 + 1.03975i) q^{15} +(0.809017 + 0.587785i) q^{16} +(2.90979 + 4.48068i) q^{17} +(0.777146 - 0.629320i) q^{18} +(-6.00747 + 0.631411i) q^{19} +(1.14193 + 1.92250i) q^{20} +(-0.710457 + 1.59571i) q^{21} +(4.70755 - 0.246712i) q^{22} +(-2.56691 - 1.30791i) q^{23} +(-0.669131 - 0.743145i) q^{24} +(0.645628 + 4.95814i) q^{25} +(-4.77173 + 2.75496i) q^{26} +(-0.891007 + 0.453990i) q^{27} +(1.63071 + 0.625970i) q^{28} +(-5.33298 + 3.87464i) q^{29} +(-0.717265 - 2.11791i) q^{30} +(-5.54131 - 0.542073i) q^{31} +(-0.707107 + 0.707107i) q^{32} +(-4.65597 - 0.737434i) q^{33} +(-4.88071 + 2.17303i) q^{34} +(2.79580 + 2.72740i) q^{35} +(0.500000 + 0.866025i) q^{36} +(-7.71624 + 2.06756i) q^{37} +(0.316139 - 6.03228i) q^{38} +(5.24025 - 1.70266i) q^{39} +(-2.07747 + 0.827125i) q^{40} +(8.01827 + 3.56996i) q^{41} +(-1.46493 - 0.951335i) q^{42} +(-3.19895 - 2.59046i) q^{43} +(-0.492748 + 4.68819i) q^{44} +(0.261253 + 2.22075i) q^{45} +(1.69336 - 2.33070i) q^{46} +(-0.362705 + 0.0574468i) q^{47} +(0.838671 - 0.544639i) q^{48} +(-3.92732 - 0.412778i) q^{49} +(-4.99810 - 0.137945i) q^{50} +(5.22586 - 1.11079i) q^{51} +(-1.97458 - 5.14396i) q^{52} +(-0.692629 - 13.2162i) q^{53} +(-0.309017 - 0.951057i) q^{54} +(-5.15698 + 9.19321i) q^{55} +(-0.873363 + 1.51271i) q^{56} +(-1.56341 + 5.83473i) q^{57} +(-2.99267 - 5.87345i) q^{58} +(3.35287 + 7.53067i) q^{59} +(2.20404 - 0.377120i) q^{60} +12.6433i q^{61} +(1.40225 - 5.38829i) q^{62} +(1.23512 + 1.23512i) q^{63} +(-0.587785 - 0.809017i) q^{64} +(0.492398 - 12.3107i) q^{65} +(1.45671 - 4.48329i) q^{66} +(-4.84243 - 1.29753i) q^{67} +(-1.38277 - 5.16056i) q^{68} +(-2.14093 + 1.92770i) q^{69} +(-3.13118 + 2.33472i) q^{70} +(-7.96379 + 8.84469i) q^{71} +(-0.933580 + 0.358368i) q^{72} +(-1.08270 + 1.66722i) q^{73} +(-0.835019 - 7.94467i) q^{74} +(4.86020 + 1.17409i) q^{75} +(5.90856 + 1.25590i) q^{76} +(1.28809 + 8.13270i) q^{77} +(0.861942 + 5.44209i) q^{78} +(5.23825 + 1.11343i) q^{79} +(-0.491954 - 2.18128i) q^{80} +(0.104528 + 0.994522i) q^{81} +(-4.78035 + 7.36109i) q^{82} +(15.5263 - 5.96000i) q^{83} +(1.16879 - 1.29807i) q^{84} +(1.72257 - 11.8216i) q^{85} +(3.05900 - 2.75433i) q^{86} +(1.70612 + 6.36732i) q^{87} +(-4.55338 - 1.22008i) q^{88} +(-0.647710 + 1.99345i) q^{89} +(-2.23428 - 0.0893656i) q^{90} +(-5.65704 - 7.78624i) q^{91} +(2.03711 + 2.03711i) q^{92} +(-2.49190 + 4.97900i) q^{93} -0.367226i q^{94} +(11.0250 + 7.80335i) q^{95} +(0.406737 + 0.913545i) q^{96} +(-0.303313 - 0.595285i) q^{97} +(1.02206 - 3.81439i) q^{98} +(-2.35700 + 4.08245i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 256 q + 8 q^{7}+O(q^{10}) \) Copy content Toggle raw display \( 256 q + 8 q^{7} + 4 q^{10} - 24 q^{14} - 8 q^{15} + 64 q^{16} + 36 q^{17} - 40 q^{19} + 12 q^{20} - 16 q^{21} + 8 q^{22} - 32 q^{24} + 20 q^{25} + 4 q^{28} - 16 q^{29} - 8 q^{31} - 4 q^{33} - 24 q^{35} + 128 q^{36} + 4 q^{37} + 4 q^{38} + 48 q^{41} + 32 q^{42} - 24 q^{43} + 4 q^{44} - 12 q^{45} - 20 q^{46} - 168 q^{47} - 40 q^{49} + 48 q^{50} - 64 q^{53} + 64 q^{54} + 64 q^{55} + 28 q^{57} + 68 q^{58} - 24 q^{59} + 4 q^{62} + 4 q^{63} - 60 q^{65} + 12 q^{66} - 76 q^{67} - 4 q^{68} + 12 q^{69} - 16 q^{70} - 48 q^{71} + 52 q^{73} + 68 q^{74} + 48 q^{75} + 48 q^{76} + 84 q^{77} - 56 q^{79} - 32 q^{81} - 32 q^{82} + 136 q^{83} + 68 q^{85} + 24 q^{86} + 20 q^{87} + 56 q^{88} - 224 q^{89} + 40 q^{91} - 48 q^{93} - 4 q^{95} + 8 q^{97} + 64 q^{98} + 4 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/930\mathbb{Z}\right)^\times\).

\(n\) \(187\) \(311\) \(871\)
\(\chi(n)\) \(e\left(\frac{3}{4}\right)\) \(1\) \(e\left(\frac{11}{30}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.156434 + 0.987688i −0.110616 + 0.698401i
\(3\) 0.358368 0.933580i 0.206904 0.539003i
\(4\) −0.951057 0.309017i −0.475528 0.154508i
\(5\) −1.68012 1.47553i −0.751374 0.659877i
\(6\) 0.866025 + 0.500000i 0.353553 + 0.204124i
\(7\) −1.74433 0.0914165i −0.659295 0.0345522i −0.280245 0.959928i \(-0.590416\pi\)
−0.379050 + 0.925376i \(0.623749\pi\)
\(8\) 0.453990 0.891007i 0.160510 0.315018i
\(9\) −0.743145 0.669131i −0.247715 0.223044i
\(10\) 1.72019 1.42861i 0.543972 0.451768i
\(11\) −0.980098 4.61100i −0.295511 1.39027i −0.835913 0.548862i \(-0.815061\pi\)
0.540403 0.841407i \(-0.318272\pi\)
\(12\) −0.629320 + 0.777146i −0.181669 + 0.224343i
\(13\) 3.46751 + 4.28202i 0.961714 + 1.18762i 0.982202 + 0.187827i \(0.0601445\pi\)
−0.0204885 + 0.999790i \(0.506522\pi\)
\(14\) 0.363165 1.70855i 0.0970598 0.456631i
\(15\) −1.97963 + 1.03975i −0.511138 + 0.268462i
\(16\) 0.809017 + 0.587785i 0.202254 + 0.146946i
\(17\) 2.90979 + 4.48068i 0.705728 + 1.08673i 0.991711 + 0.128491i \(0.0410133\pi\)
−0.285983 + 0.958235i \(0.592320\pi\)
\(18\) 0.777146 0.629320i 0.183175 0.148332i
\(19\) −6.00747 + 0.631411i −1.37821 + 0.144856i −0.764473 0.644656i \(-0.777001\pi\)
−0.613736 + 0.789512i \(0.710334\pi\)
\(20\) 1.14193 + 1.92250i 0.255343 + 0.429884i
\(21\) −0.710457 + 1.59571i −0.155034 + 0.348213i
\(22\) 4.70755 0.246712i 1.00365 0.0525992i
\(23\) −2.56691 1.30791i −0.535238 0.272717i 0.165410 0.986225i \(-0.447105\pi\)
−0.700647 + 0.713508i \(0.747105\pi\)
\(24\) −0.669131 0.743145i −0.136586 0.151694i
\(25\) 0.645628 + 4.95814i 0.129126 + 0.991628i
\(26\) −4.77173 + 2.75496i −0.935814 + 0.540293i
\(27\) −0.891007 + 0.453990i −0.171474 + 0.0873705i
\(28\) 1.63071 + 0.625970i 0.308175 + 0.118297i
\(29\) −5.33298 + 3.87464i −0.990310 + 0.719503i −0.959989 0.280038i \(-0.909653\pi\)
−0.0303213 + 0.999540i \(0.509653\pi\)
\(30\) −0.717265 2.11791i −0.130954 0.386675i
\(31\) −5.54131 0.542073i −0.995249 0.0973593i
\(32\) −0.707107 + 0.707107i −0.125000 + 0.125000i
\(33\) −4.65597 0.737434i −0.810501 0.128371i
\(34\) −4.88071 + 2.17303i −0.837035 + 0.372672i
\(35\) 2.79580 + 2.72740i 0.472577 + 0.461015i
\(36\) 0.500000 + 0.866025i 0.0833333 + 0.144338i
\(37\) −7.71624 + 2.06756i −1.26854 + 0.339905i −0.829472 0.558549i \(-0.811358\pi\)
−0.439069 + 0.898453i \(0.644692\pi\)
\(38\) 0.316139 6.03228i 0.0512844 0.978565i
\(39\) 5.24025 1.70266i 0.839111 0.272644i
\(40\) −2.07747 + 0.827125i −0.328476 + 0.130780i
\(41\) 8.01827 + 3.56996i 1.25224 + 0.557535i 0.922303 0.386467i \(-0.126305\pi\)
0.329940 + 0.944002i \(0.392971\pi\)
\(42\) −1.46493 0.951335i −0.226043 0.146794i
\(43\) −3.19895 2.59046i −0.487836 0.395042i 0.353602 0.935396i \(-0.384957\pi\)
−0.841438 + 0.540354i \(0.818290\pi\)
\(44\) −0.492748 + 4.68819i −0.0742846 + 0.706771i
\(45\) 0.261253 + 2.22075i 0.0389453 + 0.331050i
\(46\) 1.69336 2.33070i 0.249672 0.343644i
\(47\) −0.362705 + 0.0574468i −0.0529059 + 0.00837948i −0.182831 0.983144i \(-0.558526\pi\)
0.129925 + 0.991524i \(0.458526\pi\)
\(48\) 0.838671 0.544639i 0.121052 0.0786119i
\(49\) −3.92732 0.412778i −0.561046 0.0589683i
\(50\) −4.99810 0.137945i −0.706838 0.0195083i
\(51\) 5.22586 1.11079i 0.731766 0.155542i
\(52\) −1.97458 5.14396i −0.273825 0.713339i
\(53\) −0.692629 13.2162i −0.0951400 1.81538i −0.463936 0.885869i \(-0.653563\pi\)
0.368796 0.929510i \(-0.379770\pi\)
\(54\) −0.309017 0.951057i −0.0420519 0.129422i
\(55\) −5.15698 + 9.19321i −0.695366 + 1.23961i
\(56\) −0.873363 + 1.51271i −0.116708 + 0.202144i
\(57\) −1.56341 + 5.83473i −0.207079 + 0.772829i
\(58\) −2.99267 5.87345i −0.392957 0.771222i
\(59\) 3.35287 + 7.53067i 0.436506 + 0.980409i 0.989139 + 0.146984i \(0.0469566\pi\)
−0.552633 + 0.833425i \(0.686377\pi\)
\(60\) 2.20404 0.377120i 0.284540 0.0486860i
\(61\) 12.6433i 1.61881i 0.587254 + 0.809403i \(0.300209\pi\)
−0.587254 + 0.809403i \(0.699791\pi\)
\(62\) 1.40225 5.38829i 0.178086 0.684314i
\(63\) 1.23512 + 1.23512i 0.155611 + 0.155611i
\(64\) −0.587785 0.809017i −0.0734732 0.101127i
\(65\) 0.492398 12.3107i 0.0610744 1.52696i
\(66\) 1.45671 4.48329i 0.179309 0.551855i
\(67\) −4.84243 1.29753i −0.591597 0.158518i −0.0494143 0.998778i \(-0.515735\pi\)
−0.542183 + 0.840260i \(0.682402\pi\)
\(68\) −1.38277 5.16056i −0.167685 0.625810i
\(69\) −2.14093 + 1.92770i −0.257738 + 0.232068i
\(70\) −3.13118 + 2.33472i −0.374248 + 0.279053i
\(71\) −7.96379 + 8.84469i −0.945128 + 1.04967i 0.0535652 + 0.998564i \(0.482942\pi\)
−0.998693 + 0.0511067i \(0.983725\pi\)
\(72\) −0.933580 + 0.358368i −0.110024 + 0.0422341i
\(73\) −1.08270 + 1.66722i −0.126721 + 0.195133i −0.896336 0.443374i \(-0.853781\pi\)
0.769616 + 0.638508i \(0.220448\pi\)
\(74\) −0.835019 7.94467i −0.0970690 0.923549i
\(75\) 4.86020 + 1.17409i 0.561207 + 0.135573i
\(76\) 5.90856 + 1.25590i 0.677758 + 0.144062i
\(77\) 1.28809 + 8.13270i 0.146792 + 0.926808i
\(78\) 0.861942 + 5.44209i 0.0975957 + 0.616195i
\(79\) 5.23825 + 1.11343i 0.589350 + 0.125270i 0.492928 0.870070i \(-0.335927\pi\)
0.0964222 + 0.995341i \(0.469260\pi\)
\(80\) −0.491954 2.18128i −0.0550021 0.243874i
\(81\) 0.104528 + 0.994522i 0.0116143 + 0.110502i
\(82\) −4.78035 + 7.36109i −0.527901 + 0.812896i
\(83\) 15.5263 5.96000i 1.70424 0.654195i 0.705713 0.708498i \(-0.250627\pi\)
0.998525 + 0.0543030i \(0.0172937\pi\)
\(84\) 1.16879 1.29807i 0.127525 0.141631i
\(85\) 1.72257 11.8216i 0.186839 1.28223i
\(86\) 3.05900 2.75433i 0.329860 0.297007i
\(87\) 1.70612 + 6.36732i 0.182915 + 0.682648i
\(88\) −4.55338 1.22008i −0.485392 0.130060i
\(89\) −0.647710 + 1.99345i −0.0686571 + 0.211305i −0.979498 0.201452i \(-0.935434\pi\)
0.910841 + 0.412757i \(0.135434\pi\)
\(90\) −2.23428 0.0893656i −0.235514 0.00941997i
\(91\) −5.65704 7.78624i −0.593018 0.816220i
\(92\) 2.03711 + 2.03711i 0.212383 + 0.212383i
\(93\) −2.49190 + 4.97900i −0.258398 + 0.516298i
\(94\) 0.367226i 0.0378765i
\(95\) 11.0250 + 7.80335i 1.13114 + 0.800607i
\(96\) 0.406737 + 0.913545i 0.0415124 + 0.0932383i
\(97\) −0.303313 0.595285i −0.0307967 0.0604420i 0.875095 0.483950i \(-0.160798\pi\)
−0.905892 + 0.423508i \(0.860798\pi\)
\(98\) 1.02206 3.81439i 0.103244 0.385312i
\(99\) −2.35700 + 4.08245i −0.236888 + 0.410302i
\(100\) 0.918121 4.91498i 0.0918121 0.491498i
\(101\) −3.53810 10.8891i −0.352054 1.08351i −0.957698 0.287775i \(-0.907085\pi\)
0.605644 0.795736i \(-0.292915\pi\)
\(102\) 0.279610 + 5.33528i 0.0276855 + 0.528272i
\(103\) −1.30182 3.39137i −0.128272 0.334161i 0.854372 0.519663i \(-0.173942\pi\)
−0.982644 + 0.185502i \(0.940609\pi\)
\(104\) 5.38952 1.14558i 0.528486 0.112333i
\(105\) 3.54818 1.63269i 0.346267 0.159335i
\(106\) 13.1618 + 1.38336i 1.27839 + 0.134364i
\(107\) −10.5286 + 6.83732i −1.01783 + 0.660989i −0.941820 0.336118i \(-0.890886\pi\)
−0.0760138 + 0.997107i \(0.524219\pi\)
\(108\) 0.987688 0.156434i 0.0950404 0.0150529i
\(109\) 5.08156 6.99417i 0.486725 0.669920i −0.493055 0.869998i \(-0.664120\pi\)
0.979780 + 0.200079i \(0.0641198\pi\)
\(110\) −8.27329 6.53162i −0.788828 0.622765i
\(111\) −0.835019 + 7.94467i −0.0792565 + 0.754075i
\(112\) −1.35746 1.09925i −0.128268 0.103869i
\(113\) −6.52586 4.23795i −0.613902 0.398672i 0.199899 0.979816i \(-0.435939\pi\)
−0.813801 + 0.581144i \(0.802605\pi\)
\(114\) −5.51833 2.45692i −0.516839 0.230111i
\(115\) 2.38287 + 5.98499i 0.222204 + 0.558103i
\(116\) 6.26930 2.03702i 0.582090 0.189132i
\(117\) 0.288367 5.50237i 0.0266596 0.508695i
\(118\) −7.96245 + 2.13353i −0.733003 + 0.196408i
\(119\) −4.66603 8.08180i −0.427734 0.740858i
\(120\) 0.0276901 + 2.23590i 0.00252775 + 0.204108i
\(121\) −10.2517 + 4.56435i −0.931973 + 0.414941i
\(122\) −12.4876 1.97784i −1.13058 0.179066i
\(123\) 6.20634 6.20634i 0.559607 0.559607i
\(124\) 5.10259 + 2.22790i 0.458226 + 0.200072i
\(125\) 6.23115 9.28293i 0.557331 0.830291i
\(126\) −1.41313 + 1.02670i −0.125892 + 0.0914656i
\(127\) −4.77614 1.83339i −0.423814 0.162687i 0.137107 0.990556i \(-0.456220\pi\)
−0.560921 + 0.827869i \(0.689553\pi\)
\(128\) 0.891007 0.453990i 0.0787546 0.0401275i
\(129\) −3.56481 + 2.05814i −0.313864 + 0.181209i
\(130\) 12.0821 + 2.41216i 1.05967 + 0.211560i
\(131\) −3.73054 4.14319i −0.325939 0.361992i 0.557797 0.829977i \(-0.311647\pi\)
−0.883736 + 0.467985i \(0.844980\pi\)
\(132\) 4.20021 + 2.14012i 0.365582 + 0.186273i
\(133\) 10.5367 0.552207i 0.913651 0.0478824i
\(134\) 2.03908 4.57984i 0.176149 0.395638i
\(135\) 2.16688 + 0.551946i 0.186495 + 0.0475040i
\(136\) 5.31334 0.558454i 0.455615 0.0478871i
\(137\) 14.2202 11.5153i 1.21491 0.983818i 0.214940 0.976627i \(-0.431044\pi\)
0.999974 0.00719060i \(-0.00228886\pi\)
\(138\) −1.56906 2.41613i −0.133567 0.205675i
\(139\) −6.38762 4.64088i −0.541791 0.393634i 0.282959 0.959132i \(-0.408684\pi\)
−0.824750 + 0.565498i \(0.808684\pi\)
\(140\) −1.81615 3.45786i −0.153493 0.292243i
\(141\) −0.0763506 + 0.359201i −0.00642988 + 0.0302502i
\(142\) −7.48998 9.24936i −0.628545 0.776189i
\(143\) 16.3459 20.1855i 1.36691 1.68799i
\(144\) −0.207912 0.978148i −0.0173260 0.0815123i
\(145\) 14.6772 + 1.35910i 1.21888 + 0.112867i
\(146\) −1.47732 1.33018i −0.122264 0.110087i
\(147\) −1.79279 + 3.51854i −0.147867 + 0.290204i
\(148\) 7.97749 + 0.418082i 0.655745 + 0.0343662i
\(149\) −13.5473 7.82152i −1.10984 0.640764i −0.171049 0.985263i \(-0.554716\pi\)
−0.938787 + 0.344499i \(0.888049\pi\)
\(150\) −1.91994 + 4.61669i −0.156762 + 0.376951i
\(151\) 3.26173 + 1.05980i 0.265436 + 0.0862454i 0.438711 0.898628i \(-0.355435\pi\)
−0.173275 + 0.984873i \(0.555435\pi\)
\(152\) −2.16474 + 5.63935i −0.175584 + 0.457412i
\(153\) 0.835767 5.27683i 0.0675678 0.426606i
\(154\) −8.23408 −0.663521
\(155\) 8.51024 + 9.08712i 0.683559 + 0.729895i
\(156\) −5.50992 −0.441147
\(157\) −1.29550 + 8.17946i −0.103392 + 0.652792i 0.880502 + 0.474042i \(0.157205\pi\)
−0.983895 + 0.178750i \(0.942795\pi\)
\(158\) −1.91916 + 4.99959i −0.152680 + 0.397746i
\(159\) −12.5866 4.08962i −0.998179 0.324328i
\(160\) 2.23138 0.144670i 0.176406 0.0114372i
\(161\) 4.35798 + 2.51608i 0.343457 + 0.198295i
\(162\) −0.998630 0.0523360i −0.0784597 0.00411190i
\(163\) −2.90762 + 5.70653i −0.227743 + 0.446970i −0.976395 0.215993i \(-0.930701\pi\)
0.748652 + 0.662963i \(0.230701\pi\)
\(164\) −6.52265 5.87302i −0.509333 0.458606i
\(165\) 6.73450 + 8.10900i 0.524280 + 0.631285i
\(166\) 3.45777 + 16.2675i 0.268375 + 1.26261i
\(167\) 14.3366 17.7043i 1.10940 1.37000i 0.187642 0.982237i \(-0.439915\pi\)
0.921760 0.387761i \(-0.126751\pi\)
\(168\) 1.09925 + 1.35746i 0.0848090 + 0.104730i
\(169\) −3.60919 + 16.9799i −0.277630 + 1.30615i
\(170\) 11.4066 + 3.55067i 0.874844 + 0.272324i
\(171\) 4.88692 + 3.55055i 0.373712 + 0.271518i
\(172\) 2.24189 + 3.45221i 0.170942 + 0.263228i
\(173\) −16.5665 + 13.4153i −1.25953 + 1.01994i −0.261019 + 0.965334i \(0.584059\pi\)
−0.998508 + 0.0546109i \(0.982608\pi\)
\(174\) −6.55582 + 0.689044i −0.496995 + 0.0522363i
\(175\) −0.672933 8.70766i −0.0508690 0.658237i
\(176\) 1.91736 4.30646i 0.144526 0.324612i
\(177\) 8.23204 0.431423i 0.618758 0.0324277i
\(178\) −1.86758 0.951579i −0.139981 0.0713239i
\(179\) −4.50390 5.00209i −0.336638 0.373874i 0.550930 0.834551i \(-0.314273\pi\)
−0.887568 + 0.460678i \(0.847606\pi\)
\(180\) 0.437784 2.19279i 0.0326305 0.163441i
\(181\) −7.79494 + 4.50041i −0.579394 + 0.334513i −0.760892 0.648878i \(-0.775238\pi\)
0.181499 + 0.983391i \(0.441905\pi\)
\(182\) 8.57533 4.36935i 0.635646 0.323878i
\(183\) 11.8035 + 4.53095i 0.872541 + 0.334937i
\(184\) −2.33070 + 1.69336i −0.171822 + 0.124836i
\(185\) 16.0150 + 7.91178i 1.17744 + 0.581685i
\(186\) −4.52788 3.24011i −0.332000 0.237576i
\(187\) 17.8085 17.8085i 1.30229 1.30229i
\(188\) 0.362705 + 0.0574468i 0.0264530 + 0.00418974i
\(189\) 1.59571 0.710457i 0.116071 0.0516781i
\(190\) −9.43196 + 9.66851i −0.684266 + 0.701427i
\(191\) 0.544986 + 0.943943i 0.0394338 + 0.0683013i 0.885069 0.465460i \(-0.154111\pi\)
−0.845635 + 0.533762i \(0.820778\pi\)
\(192\) −0.965926 + 0.258819i −0.0697097 + 0.0186787i
\(193\) −0.0479330 + 0.914615i −0.00345029 + 0.0658355i −0.999812 0.0193898i \(-0.993828\pi\)
0.996362 + 0.0852252i \(0.0271610\pi\)
\(194\) 0.635404 0.206455i 0.0456194 0.0148226i
\(195\) −11.3166 4.87146i −0.810398 0.348853i
\(196\) 3.60755 + 1.60618i 0.257682 + 0.114727i
\(197\) −19.0049 12.3419i −1.35404 0.879327i −0.355576 0.934647i \(-0.615715\pi\)
−0.998469 + 0.0553204i \(0.982382\pi\)
\(198\) −3.66347 2.96662i −0.260352 0.210829i
\(199\) −2.18589 + 20.7973i −0.154954 + 1.47428i 0.590127 + 0.807310i \(0.299078\pi\)
−0.745081 + 0.666974i \(0.767589\pi\)
\(200\) 4.71085 + 1.67569i 0.333107 + 0.118489i
\(201\) −2.94672 + 4.05581i −0.207845 + 0.286075i
\(202\) 11.3086 1.79110i 0.795668 0.126021i
\(203\) 9.65670 6.27113i 0.677767 0.440147i
\(204\) −5.31334 0.558454i −0.372008 0.0390996i
\(205\) −8.20410 17.8292i −0.572999 1.24524i
\(206\) 3.55326 0.755269i 0.247568 0.0526221i
\(207\) 1.03243 + 2.68956i 0.0717585 + 0.186937i
\(208\) 0.288367 + 5.50237i 0.0199947 + 0.381521i
\(209\) 8.79934 + 27.0816i 0.608663 + 1.87327i
\(210\) 1.05754 + 3.75990i 0.0729769 + 0.259458i
\(211\) 2.54351 4.40549i 0.175102 0.303286i −0.765094 0.643918i \(-0.777308\pi\)
0.940197 + 0.340632i \(0.110641\pi\)
\(212\) −3.42529 + 12.7833i −0.235250 + 0.877964i
\(213\) 5.40326 + 10.6045i 0.370225 + 0.726608i
\(214\) −5.10612 11.4685i −0.349047 0.783972i
\(215\) 1.55234 + 9.07244i 0.105868 + 0.618736i
\(216\) 1.00000i 0.0680414i
\(217\) 9.61633 + 1.45212i 0.652799 + 0.0985765i
\(218\) 6.11313 + 6.11313i 0.414033 + 0.414033i
\(219\) 1.16848 + 1.60827i 0.0789583 + 0.108677i
\(220\) 7.74543 7.14967i 0.522197 0.482030i
\(221\) −9.09664 + 27.9966i −0.611906 + 1.88325i
\(222\) −7.71624 2.06756i −0.517880 0.138765i
\(223\) −3.57374 13.3374i −0.239315 0.893137i −0.976156 0.217071i \(-0.930350\pi\)
0.736841 0.676067i \(-0.236317\pi\)
\(224\) 1.29807 1.16879i 0.0867309 0.0780929i
\(225\) 2.83785 4.11663i 0.189190 0.274442i
\(226\) 5.20664 5.78256i 0.346340 0.384650i
\(227\) 5.47491 2.10162i 0.363382 0.139489i −0.169825 0.985474i \(-0.554320\pi\)
0.533207 + 0.845985i \(0.320987\pi\)
\(228\) 3.28993 5.06604i 0.217881 0.335507i
\(229\) 1.00934 + 9.60326i 0.0666993 + 0.634601i 0.975896 + 0.218235i \(0.0700299\pi\)
−0.909197 + 0.416366i \(0.863303\pi\)
\(230\) −6.28407 + 1.41728i −0.414359 + 0.0934523i
\(231\) 8.05415 + 1.71196i 0.529924 + 0.112639i
\(232\) 1.03121 + 6.51077i 0.0677019 + 0.427453i
\(233\) 4.46620 + 28.1985i 0.292590 + 1.84734i 0.496094 + 0.868269i \(0.334767\pi\)
−0.203503 + 0.979074i \(0.565233\pi\)
\(234\) 5.38952 + 1.14558i 0.352324 + 0.0748888i
\(235\) 0.694153 + 0.438664i 0.0452816 + 0.0286153i
\(236\) −0.861664 8.19818i −0.0560895 0.533656i
\(237\) 2.91669 4.49132i 0.189460 0.291742i
\(238\) 8.71223 3.34431i 0.564730 0.216780i
\(239\) −7.63430 + 8.47875i −0.493822 + 0.548445i −0.937611 0.347687i \(-0.886967\pi\)
0.443789 + 0.896131i \(0.353634\pi\)
\(240\) −2.21270 0.322422i −0.142829 0.0208123i
\(241\) 21.0969 18.9958i 1.35897 1.22362i 0.408522 0.912749i \(-0.366044\pi\)
0.950451 0.310876i \(-0.100622\pi\)
\(242\) −2.90444 10.8395i −0.186704 0.696790i
\(243\) 0.965926 + 0.258819i 0.0619642 + 0.0166032i
\(244\) 3.90699 12.0245i 0.250119 0.769788i
\(245\) 5.98931 + 6.48839i 0.382643 + 0.414528i
\(246\) 5.15904 + 7.10082i 0.328929 + 0.452731i
\(247\) −23.5347 23.5347i −1.49747 1.49747i
\(248\) −2.99869 + 4.69125i −0.190417 + 0.297895i
\(249\) 16.6310i 1.05394i
\(250\) 8.19388 + 7.60660i 0.518226 + 0.481084i
\(251\) −9.13175 20.5102i −0.576391 1.29459i −0.932844 0.360281i \(-0.882681\pi\)
0.356453 0.934313i \(-0.383986\pi\)
\(252\) −0.792997 1.55634i −0.0499541 0.0980404i
\(253\) −3.51493 + 13.1179i −0.220982 + 0.824715i
\(254\) 2.55797 4.43053i 0.160501 0.277996i
\(255\) −10.4191 5.84464i −0.652468 0.366005i
\(256\) 0.309017 + 0.951057i 0.0193136 + 0.0594410i
\(257\) −0.472556 9.01691i −0.0294772 0.562459i −0.972951 0.231012i \(-0.925796\pi\)
0.943474 0.331447i \(-0.107537\pi\)
\(258\) −1.47514 3.84288i −0.0918385 0.239247i
\(259\) 13.6487 2.90112i 0.848088 0.180267i
\(260\) −4.27252 + 11.5560i −0.264970 + 0.716675i
\(261\) 6.55582 + 0.689044i 0.405795 + 0.0426508i
\(262\) 4.67577 3.03648i 0.288870 0.187594i
\(263\) 20.4229 3.23468i 1.25933 0.199459i 0.509143 0.860682i \(-0.329962\pi\)
0.750189 + 0.661223i \(0.229962\pi\)
\(264\) −2.77083 + 3.81371i −0.170533 + 0.234718i
\(265\) −18.3371 + 23.2268i −1.12644 + 1.42681i
\(266\) −1.10290 + 10.4934i −0.0676232 + 0.643392i
\(267\) 1.62892 + 1.31908i 0.0996885 + 0.0807262i
\(268\) 4.20447 + 2.73042i 0.256829 + 0.166787i
\(269\) −16.0417 7.14223i −0.978080 0.435469i −0.145490 0.989360i \(-0.546476\pi\)
−0.832590 + 0.553891i \(0.813143\pi\)
\(270\) −0.884125 + 2.05386i −0.0538061 + 0.124994i
\(271\) −19.6089 + 6.37132i −1.19116 + 0.387030i −0.836500 0.547966i \(-0.815402\pi\)
−0.354656 + 0.934997i \(0.615402\pi\)
\(272\) −0.279610 + 5.33528i −0.0169539 + 0.323499i
\(273\) −9.29638 + 2.49096i −0.562643 + 0.150760i
\(274\) 9.14899 + 15.8465i 0.552711 + 0.957323i
\(275\) 22.2292 7.83645i 1.34047 0.472556i
\(276\) 2.63184 1.17177i 0.158418 0.0705324i
\(277\) 24.7290 + 3.91669i 1.48582 + 0.235331i 0.845997 0.533188i \(-0.179006\pi\)
0.639826 + 0.768519i \(0.279006\pi\)
\(278\) 5.58298 5.58298i 0.334845 0.334845i
\(279\) 3.75528 + 4.11070i 0.224823 + 0.246101i
\(280\) 3.69940 1.25286i 0.221082 0.0748730i
\(281\) 5.61289 4.07800i 0.334837 0.243273i −0.407643 0.913141i \(-0.633649\pi\)
0.742480 + 0.669868i \(0.233649\pi\)
\(282\) −0.342835 0.131602i −0.0204155 0.00783679i
\(283\) −21.9298 + 11.1738i −1.30359 + 0.664213i −0.961332 0.275393i \(-0.911192\pi\)
−0.342259 + 0.939606i \(0.611192\pi\)
\(284\) 10.3072 5.95085i 0.611618 0.353118i
\(285\) 11.2360 7.49621i 0.665566 0.444037i
\(286\) 17.3799 + 19.3023i 1.02769 + 1.14137i
\(287\) −13.6602 6.96020i −0.806334 0.410848i
\(288\) 0.998630 0.0523360i 0.0588448 0.00308393i
\(289\) −4.69513 + 10.5454i −0.276184 + 0.620320i
\(290\) −3.63839 + 14.2839i −0.213654 + 0.838780i
\(291\) −0.664444 + 0.0698359i −0.0389504 + 0.00409385i
\(292\) 1.54491 1.25104i 0.0904091 0.0732118i
\(293\) −5.72278 8.81231i −0.334328 0.514821i 0.631026 0.775761i \(-0.282634\pi\)
−0.965355 + 0.260941i \(0.915967\pi\)
\(294\) −3.19477 2.32114i −0.186323 0.135371i
\(295\) 5.47848 17.5997i 0.318970 1.02469i
\(296\) −1.66089 + 7.81387i −0.0965372 + 0.454172i
\(297\) 2.96662 + 3.66347i 0.172141 + 0.212576i
\(298\) 9.84449 12.1569i 0.570276 0.704232i
\(299\) −3.30031 15.5267i −0.190862 0.897933i
\(300\) −4.25951 2.61851i −0.245923 0.151180i
\(301\) 5.34322 + 4.81106i 0.307978 + 0.277305i
\(302\) −1.55700 + 3.05579i −0.0895953 + 0.175841i
\(303\) −11.4338 0.599222i −0.656856 0.0344244i
\(304\) −5.23128 3.02028i −0.300034 0.173225i
\(305\) 18.6555 21.2423i 1.06821 1.21633i
\(306\) 5.08112 + 1.65096i 0.290468 + 0.0943788i
\(307\) −0.867897 + 2.26095i −0.0495335 + 0.129039i −0.956115 0.292992i \(-0.905349\pi\)
0.906582 + 0.422031i \(0.138683\pi\)
\(308\) 1.28809 8.13270i 0.0733960 0.463404i
\(309\) −3.63264 −0.206654
\(310\) −10.3065 + 6.98393i −0.585372 + 0.396661i
\(311\) −15.2853 −0.866749 −0.433375 0.901214i \(-0.642677\pi\)
−0.433375 + 0.901214i \(0.642677\pi\)
\(312\) 0.861942 5.44209i 0.0487979 0.308098i
\(313\) 6.07902 15.8364i 0.343607 0.895126i −0.647501 0.762065i \(-0.724186\pi\)
0.991108 0.133062i \(-0.0424808\pi\)
\(314\) −7.87609 2.55910i −0.444474 0.144418i
\(315\) −0.252699 3.89761i −0.0142380 0.219606i
\(316\) −4.63781 2.67764i −0.260897 0.150629i
\(317\) 10.4630 + 0.548341i 0.587659 + 0.0307979i 0.343849 0.939025i \(-0.388269\pi\)
0.243810 + 0.969823i \(0.421603\pi\)
\(318\) 6.00824 11.7918i 0.336926 0.661254i
\(319\) 23.0928 + 20.7929i 1.29295 + 1.16418i
\(320\) −0.206176 + 2.22654i −0.0115256 + 0.124468i
\(321\) 2.61009 + 12.2795i 0.145681 + 0.685377i
\(322\) −3.16684 + 3.91072i −0.176481 + 0.217936i
\(323\) −20.3096 25.0803i −1.13006 1.39551i
\(324\) 0.207912 0.978148i 0.0115506 0.0543415i
\(325\) −18.9921 + 19.9570i −1.05349 + 1.10701i
\(326\) −5.18142 3.76452i −0.286972 0.208498i
\(327\) −4.70855 7.25053i −0.260383 0.400955i
\(328\) 6.82108 5.52360i 0.376631 0.304990i
\(329\) 0.637929 0.0670490i 0.0351702 0.00369653i
\(330\) −9.06268 + 5.38306i −0.498884 + 0.296328i
\(331\) 11.9854 26.9195i 0.658775 1.47963i −0.206558 0.978434i \(-0.566226\pi\)
0.865333 0.501198i \(-0.167107\pi\)
\(332\) −16.6082 + 0.870397i −0.911492 + 0.0477693i
\(333\) 7.11775 + 3.62667i 0.390050 + 0.198740i
\(334\) 15.2436 + 16.9297i 0.834091 + 0.926352i
\(335\) 6.22135 + 9.32516i 0.339909 + 0.509488i
\(336\) −1.51271 + 0.873363i −0.0825250 + 0.0476458i
\(337\) −16.6779 + 8.49784i −0.908506 + 0.462907i −0.844812 0.535063i \(-0.820288\pi\)
−0.0636933 + 0.997970i \(0.520288\pi\)
\(338\) −16.2063 6.22100i −0.881505 0.338378i
\(339\) −6.29512 + 4.57367i −0.341904 + 0.248408i
\(340\) −5.29134 + 10.7107i −0.286963 + 0.580869i
\(341\) 2.93153 + 26.0823i 0.158751 + 1.41243i
\(342\) −4.27132 + 4.27132i −0.230967 + 0.230967i
\(343\) 18.8893 + 2.99178i 1.01993 + 0.161541i
\(344\) −3.76041 + 1.67424i −0.202748 + 0.0902692i
\(345\) 6.44142 0.0797727i 0.346794 0.00429482i
\(346\) −10.6585 18.4611i −0.573007 0.992477i
\(347\) −0.561575 + 0.150474i −0.0301469 + 0.00807784i −0.273861 0.961769i \(-0.588301\pi\)
0.243714 + 0.969847i \(0.421634\pi\)
\(348\) 0.344995 6.58290i 0.0184937 0.352880i
\(349\) 9.60320 3.12027i 0.514048 0.167024i −0.0404946 0.999180i \(-0.512893\pi\)
0.554542 + 0.832156i \(0.312893\pi\)
\(350\) 8.70573 + 0.697530i 0.465341 + 0.0372846i
\(351\) −5.03357 2.24109i −0.268672 0.119620i
\(352\) 3.95350 + 2.56743i 0.210722 + 0.136845i
\(353\) −9.72158 7.87238i −0.517428 0.419005i 0.334711 0.942321i \(-0.391361\pi\)
−0.852139 + 0.523316i \(0.824695\pi\)
\(354\) −0.861664 + 8.19818i −0.0457969 + 0.435728i
\(355\) 26.4307 3.10936i 1.40280 0.165028i
\(356\) 1.23202 1.69573i 0.0652968 0.0898733i
\(357\) −9.21717 + 1.45986i −0.487824 + 0.0772638i
\(358\) 5.64507 3.66595i 0.298351 0.193752i
\(359\) 22.5212 + 2.36707i 1.18862 + 0.124929i 0.678123 0.734949i \(-0.262794\pi\)
0.510500 + 0.859878i \(0.329460\pi\)
\(360\) 2.09731 + 0.775423i 0.110538 + 0.0408684i
\(361\) 17.1062 3.63604i 0.900327 0.191370i
\(362\) −3.22561 8.40299i −0.169534 0.441652i
\(363\) 0.587308 + 11.2065i 0.0308257 + 0.588189i
\(364\) 2.97408 + 9.15327i 0.155884 + 0.479762i
\(365\) 4.27910 1.20357i 0.223979 0.0629977i
\(366\) −6.32164 + 10.9494i −0.330437 + 0.572334i
\(367\) −6.13907 + 22.9113i −0.320457 + 1.19596i 0.598344 + 0.801239i \(0.295826\pi\)
−0.918801 + 0.394721i \(0.870841\pi\)
\(368\) −1.30791 2.56691i −0.0681793 0.133809i
\(369\) −3.56996 8.01827i −0.185845 0.417415i
\(370\) −10.3197 + 14.5801i −0.536494 + 0.757985i
\(371\) 23.1167i 1.20016i
\(372\) 3.90853 3.96527i 0.202648 0.205590i
\(373\) 15.2800 + 15.2800i 0.791167 + 0.791167i 0.981684 0.190517i \(-0.0610165\pi\)
−0.190517 + 0.981684i \(0.561016\pi\)
\(374\) 14.8034 + 20.3752i 0.765467 + 1.05357i
\(375\) −6.43332 9.14398i −0.332215 0.472193i
\(376\) −0.113479 + 0.349253i −0.00585224 + 0.0180113i
\(377\) −35.0834 9.40058i −1.80689 0.484154i
\(378\) 0.452086 + 1.68721i 0.0232528 + 0.0867806i
\(379\) −6.90857 + 6.22051i −0.354870 + 0.319526i −0.827213 0.561889i \(-0.810075\pi\)
0.472343 + 0.881415i \(0.343408\pi\)
\(380\) −8.07399 10.8283i −0.414187 0.555481i
\(381\) −3.42323 + 3.80188i −0.175377 + 0.194776i
\(382\) −1.01758 + 0.390611i −0.0520637 + 0.0199854i
\(383\) 3.78890 5.83439i 0.193604 0.298123i −0.728516 0.685029i \(-0.759789\pi\)
0.922119 + 0.386906i \(0.126456\pi\)
\(384\) −0.104528 0.994522i −0.00533420 0.0507515i
\(385\) 9.83588 15.5646i 0.501283 0.793244i
\(386\) −0.895857 0.190420i −0.0455979 0.00969213i
\(387\) 0.643929 + 4.06561i 0.0327327 + 0.206666i
\(388\) 0.104514 + 0.659878i 0.00530592 + 0.0335002i
\(389\) −25.8420 5.49288i −1.31024 0.278500i −0.500728 0.865605i \(-0.666934\pi\)
−0.809511 + 0.587105i \(0.800268\pi\)
\(390\) 6.58179 10.4152i 0.333282 0.527394i
\(391\) −1.60886 15.3072i −0.0813633 0.774121i
\(392\) −2.15075 + 3.31187i −0.108629 + 0.167275i
\(393\) −5.20491 + 1.99798i −0.262553 + 0.100785i
\(394\) 15.1630 16.8402i 0.763902 0.848399i
\(395\) −7.15802 9.59989i −0.360159 0.483023i
\(396\) 3.50319 3.15429i 0.176042 0.158509i
\(397\) −2.68089 10.0052i −0.134550 0.502148i −0.999999 0.00115125i \(-0.999634\pi\)
0.865449 0.500997i \(-0.167033\pi\)
\(398\) −20.1993 5.41240i −1.01250 0.271299i
\(399\) 3.26050 10.0348i 0.163229 0.502368i
\(400\) −2.39200 + 4.39071i −0.119600 + 0.219536i
\(401\) 5.90723 + 8.13060i 0.294993 + 0.406023i 0.930628 0.365967i \(-0.119262\pi\)
−0.635635 + 0.771990i \(0.719262\pi\)
\(402\) −3.54491 3.54491i −0.176804 0.176804i
\(403\) −16.8934 25.6076i −0.841519 1.27561i
\(404\) 11.4495i 0.569635i
\(405\) 1.29183 1.82515i 0.0641913 0.0906926i
\(406\) 4.68328 + 10.5188i 0.232427 + 0.522041i
\(407\) 17.0962 + 33.5531i 0.847426 + 1.66317i
\(408\) 1.38277 5.16056i 0.0684572 0.255486i
\(409\) −6.60408 + 11.4386i −0.326551 + 0.565602i −0.981825 0.189789i \(-0.939220\pi\)
0.655274 + 0.755391i \(0.272553\pi\)
\(410\) 18.8931 5.31399i 0.933062 0.262439i
\(411\) −5.65439 17.4024i −0.278910 0.858398i
\(412\) 0.190118 + 3.62767i 0.00936644 + 0.178722i
\(413\) −5.16009 13.4425i −0.253911 0.661461i
\(414\) −2.81795 + 0.598975i −0.138495 + 0.0294380i
\(415\) −34.8803 12.8960i −1.71221 0.633041i
\(416\) −5.47974 0.575944i −0.268666 0.0282380i
\(417\) −6.62175 + 4.30021i −0.324268 + 0.210582i
\(418\) −28.1247 + 4.45451i −1.37562 + 0.217877i
\(419\) −3.44402 + 4.74028i −0.168251 + 0.231578i −0.884814 0.465945i \(-0.845714\pi\)
0.716562 + 0.697523i \(0.245714\pi\)
\(420\) −3.87905 + 0.456338i −0.189278 + 0.0222670i
\(421\) 0.847892 8.06715i 0.0413237 0.393169i −0.954237 0.299050i \(-0.903330\pi\)
0.995561 0.0941184i \(-0.0300032\pi\)
\(422\) 3.95336 + 3.20137i 0.192446 + 0.155840i
\(423\) 0.307982 + 0.200006i 0.0149746 + 0.00972461i
\(424\) −12.0901 5.38287i −0.587149 0.261415i
\(425\) −20.3372 + 17.3200i −0.986500 + 0.840144i
\(426\) −11.3192 + 3.67783i −0.548416 + 0.178191i
\(427\) 1.15580 22.0541i 0.0559333 1.06727i
\(428\) 12.1261 3.24918i 0.586137 0.157055i
\(429\) −12.9869 22.4940i −0.627014 1.08602i
\(430\) −9.20359 + 0.113980i −0.443836 + 0.00549662i
\(431\) −8.44123 + 3.75828i −0.406600 + 0.181030i −0.599837 0.800122i \(-0.704768\pi\)
0.193237 + 0.981152i \(0.438101\pi\)
\(432\) −0.987688 0.156434i −0.0475202 0.00752646i
\(433\) 15.7086 15.7086i 0.754906 0.754906i −0.220484 0.975391i \(-0.570764\pi\)
0.975391 + 0.220484i \(0.0707637\pi\)
\(434\) −2.93857 + 9.27078i −0.141056 + 0.445012i
\(435\) 6.52867 13.2153i 0.313026 0.633625i
\(436\) −6.99417 + 5.08156i −0.334960 + 0.243363i
\(437\) 16.2465 + 6.23643i 0.777173 + 0.298329i
\(438\) −1.77126 + 0.902501i −0.0846340 + 0.0431232i
\(439\) −12.0996 + 6.98570i −0.577482 + 0.333409i −0.760132 0.649769i \(-0.774866\pi\)
0.182650 + 0.983178i \(0.441532\pi\)
\(440\) 5.84999 + 8.76853i 0.278887 + 0.418023i
\(441\) 2.64236 + 2.93464i 0.125827 + 0.139745i
\(442\) −26.2289 13.3643i −1.24758 0.635674i
\(443\) −3.45027 + 0.180821i −0.163927 + 0.00859105i −0.134123 0.990965i \(-0.542822\pi\)
−0.0298042 + 0.999556i \(0.509488\pi\)
\(444\) 3.24919 7.29780i 0.154200 0.346338i
\(445\) 4.02962 2.39352i 0.191022 0.113464i
\(446\) 13.7322 1.44332i 0.650240 0.0683430i
\(447\) −12.1569 + 9.84449i −0.575003 + 0.465628i
\(448\) 0.951335 + 1.46493i 0.0449463 + 0.0692113i
\(449\) −2.47109 1.79535i −0.116618 0.0847278i 0.527948 0.849277i \(-0.322962\pi\)
−0.644566 + 0.764549i \(0.722962\pi\)
\(450\) 3.62201 + 3.44689i 0.170743 + 0.162488i
\(451\) 8.60241 40.4711i 0.405072 1.90571i
\(452\) 4.89687 + 6.04713i 0.230329 + 0.284433i
\(453\) 2.15831 2.66529i 0.101406 0.125226i
\(454\) 1.21928 + 5.73627i 0.0572237 + 0.269216i
\(455\) −1.98431 + 21.4290i −0.0930258 + 1.00461i
\(456\) 4.48901 + 4.04192i 0.210217 + 0.189280i
\(457\) −2.81492 + 5.52459i −0.131676 + 0.258429i −0.947426 0.319976i \(-0.896325\pi\)
0.815749 + 0.578406i \(0.196325\pi\)
\(458\) −9.64292 0.505364i −0.450584 0.0236141i
\(459\) −4.62683 2.67130i −0.215962 0.124686i
\(460\) −0.416781 6.42841i −0.0194325 0.299726i
\(461\) −30.1766 9.80498i −1.40547 0.456663i −0.494511 0.869171i \(-0.664653\pi\)
−0.910954 + 0.412508i \(0.864653\pi\)
\(462\) −2.95083 + 7.68718i −0.137285 + 0.357640i
\(463\) −2.04033 + 12.8821i −0.0948220 + 0.598682i 0.893824 + 0.448418i \(0.148012\pi\)
−0.988646 + 0.150264i \(0.951988\pi\)
\(464\) −6.59193 −0.306023
\(465\) 11.5334 4.68847i 0.534847 0.217422i
\(466\) −28.5500 −1.32255
\(467\) 3.88559 24.5326i 0.179804 1.13524i −0.718392 0.695639i \(-0.755121\pi\)
0.898195 0.439597i \(-0.144879\pi\)
\(468\) −1.97458 + 5.14396i −0.0912750 + 0.237780i
\(469\) 8.32819 + 2.70599i 0.384560 + 0.124951i
\(470\) −0.541853 + 0.616985i −0.0249938 + 0.0284594i
\(471\) 7.17191 + 4.14071i 0.330464 + 0.190794i
\(472\) 8.23204 + 0.431423i 0.378910 + 0.0198579i
\(473\) −8.80933 + 17.2893i −0.405053 + 0.794962i
\(474\) 3.97975 + 3.58338i 0.182796 + 0.164590i
\(475\) −7.00921 29.3782i −0.321605 1.34797i
\(476\) 1.94024 + 9.12813i 0.0889310 + 0.418387i
\(477\) −8.32861 + 10.2850i −0.381341 + 0.470917i
\(478\) −7.18009 8.86668i −0.328410 0.405552i
\(479\) 3.93625 18.5186i 0.179852 0.846136i −0.791996 0.610526i \(-0.790958\pi\)
0.971848 0.235610i \(-0.0757086\pi\)
\(480\) 0.664595 2.13502i 0.0303345 0.0974499i
\(481\) −35.6094 25.8718i −1.62365 1.17965i
\(482\) 15.4616 + 23.8088i 0.704257 + 1.08446i
\(483\) 3.91072 3.16684i 0.177944 0.144096i
\(484\) 11.1604 1.17301i 0.507292 0.0533185i
\(485\) −0.368757 + 1.44770i −0.0167444 + 0.0657366i
\(486\) −0.406737 + 0.913545i −0.0184499 + 0.0414393i
\(487\) −40.0204 + 2.09738i −1.81350 + 0.0950414i −0.928677 0.370891i \(-0.879052\pi\)
−0.884821 + 0.465932i \(0.845719\pi\)
\(488\) 11.2652 + 5.73993i 0.509954 + 0.259834i
\(489\) 4.28551 + 4.75954i 0.193797 + 0.215234i
\(490\) −7.34544 + 4.90057i −0.331833 + 0.221385i
\(491\) −15.9494 + 9.20841i −0.719788 + 0.415570i −0.814675 0.579918i \(-0.803084\pi\)
0.0948866 + 0.995488i \(0.469751\pi\)
\(492\) −7.82045 + 3.98472i −0.352573 + 0.179645i
\(493\) −32.8789 12.6210i −1.48079 0.568423i
\(494\) 26.9265 19.5633i 1.21148 0.880193i
\(495\) 9.98384 3.38119i 0.448740 0.151973i
\(496\) −4.16439 3.69565i −0.186987 0.165940i
\(497\) 14.7000 14.7000i 0.659387 0.659387i
\(498\) 16.4262 + 2.60166i 0.736076 + 0.116583i
\(499\) −3.31366 + 1.47533i −0.148340 + 0.0660450i −0.479564 0.877507i \(-0.659205\pi\)
0.331224 + 0.943552i \(0.392538\pi\)
\(500\) −8.79476 + 6.90306i −0.393313 + 0.308714i
\(501\) −11.3906 19.7291i −0.508893 0.881429i
\(502\) 21.6862 5.81081i 0.967904 0.259349i
\(503\) −1.36078 + 25.9652i −0.0606742 + 1.15773i 0.783404 + 0.621513i \(0.213482\pi\)
−0.844078 + 0.536220i \(0.819852\pi\)
\(504\) 1.66123 0.539768i 0.0739973 0.0240432i
\(505\) −10.1228 + 23.5157i −0.450459 + 1.04643i
\(506\) −12.4065 5.52374i −0.551537 0.245560i
\(507\) 14.5587 + 9.45453i 0.646575 + 0.419891i
\(508\) 3.97583 + 3.21956i 0.176399 + 0.142845i
\(509\) −3.49545 + 33.2569i −0.154933 + 1.47409i 0.590246 + 0.807223i \(0.299031\pi\)
−0.745179 + 0.666865i \(0.767636\pi\)
\(510\) 7.40258 9.37650i 0.327792 0.415199i
\(511\) 2.04101 2.80920i 0.0902888 0.124272i
\(512\) −0.987688 + 0.156434i −0.0436501 + 0.00691349i
\(513\) 5.06604 3.28993i 0.223671 0.145254i
\(514\) 8.97982 + 0.943817i 0.396083 + 0.0416300i
\(515\) −2.81683 + 7.61879i −0.124125 + 0.335724i
\(516\) 4.02633 0.855824i 0.177249 0.0376755i
\(517\) 0.620373 + 1.61613i 0.0272840 + 0.0710772i
\(518\) 0.730275 + 13.9345i 0.0320864 + 0.612246i
\(519\) 6.58734 + 20.2738i 0.289152 + 0.889919i
\(520\) −10.7454 6.02768i −0.471217 0.264331i
\(521\) −5.51073 + 9.54487i −0.241430 + 0.418168i −0.961122 0.276125i \(-0.910950\pi\)
0.719692 + 0.694293i \(0.244283\pi\)
\(522\) −1.70612 + 6.36732i −0.0746747 + 0.278690i
\(523\) −5.51210 10.8181i −0.241027 0.473043i 0.738527 0.674224i \(-0.235522\pi\)
−0.979554 + 0.201182i \(0.935522\pi\)
\(524\) 2.26764 + 5.09321i 0.0990624 + 0.222498i
\(525\) −8.37046 2.49231i −0.365317 0.108773i
\(526\) 20.6775i 0.901583i
\(527\) −13.6952 26.4062i −0.596572 1.15027i
\(528\) −3.33331 3.33331i −0.145064 0.145064i
\(529\) −8.64065 11.8928i −0.375681 0.517080i
\(530\) −20.0723 21.7448i −0.871883 0.944535i
\(531\) 2.54733 7.83988i 0.110545 0.340222i
\(532\) −10.1917 2.73085i −0.441865 0.118397i
\(533\) 12.5168 + 46.7132i 0.542162 + 2.02338i
\(534\) −1.55766 + 1.40252i −0.0674064 + 0.0606930i
\(535\) 27.7779 + 4.04764i 1.20094 + 0.174995i
\(536\) −3.35452 + 3.72558i −0.144893 + 0.160920i
\(537\) −6.28391 + 2.41217i −0.271171 + 0.104093i
\(538\) 9.56377 14.7269i 0.412323 0.634922i
\(539\) 1.94584 + 18.5134i 0.0838132 + 0.797429i
\(540\) −1.89026 1.19453i −0.0813439 0.0514045i
\(541\) −14.3045 3.04051i −0.614997 0.130722i −0.110127 0.993917i \(-0.535126\pi\)
−0.504869 + 0.863196i \(0.668459\pi\)
\(542\) −3.22537 20.3642i −0.138542 0.874717i
\(543\) 1.40804 + 8.89001i 0.0604247 + 0.381507i
\(544\) −5.22586 1.11079i −0.224057 0.0476247i
\(545\) −18.8577 + 4.25307i −0.807777 + 0.182182i
\(546\) −1.00602 9.57160i −0.0430535 0.409627i
\(547\) 16.3801 25.2232i 0.700364 1.07847i −0.292155 0.956371i \(-0.594372\pi\)
0.992518 0.122095i \(-0.0389612\pi\)
\(548\) −17.0826 + 6.55741i −0.729734 + 0.280119i
\(549\) 8.46000 9.39579i 0.361064 0.401002i
\(550\) 4.26256 + 23.1814i 0.181756 + 0.988459i
\(551\) 29.5913 26.6441i 1.26063 1.13508i
\(552\) 0.745634 + 2.78274i 0.0317363 + 0.118441i
\(553\) −9.03547 2.42105i −0.384227 0.102953i
\(554\) −7.73694 + 23.8119i −0.328711 + 1.01167i
\(555\) 13.1255 12.1159i 0.557148 0.514293i
\(556\) 4.64088 + 6.38762i 0.196817 + 0.270895i
\(557\) 2.05449 + 2.05449i 0.0870514 + 0.0870514i 0.749292 0.662240i \(-0.230394\pi\)
−0.662240 + 0.749292i \(0.730394\pi\)
\(558\) −4.64755 + 3.06599i −0.196746 + 0.129794i
\(559\) 22.6804i 0.959279i
\(560\) 0.658726 + 3.84985i 0.0278362 + 0.162686i
\(561\) −10.2437 23.0077i −0.432489 0.971387i
\(562\) 3.14975 + 6.18173i 0.132864 + 0.260760i
\(563\) 6.14004 22.9149i 0.258772 0.965750i −0.707181 0.707032i \(-0.750033\pi\)
0.965953 0.258717i \(-0.0832999\pi\)
\(564\) 0.183613 0.318027i 0.00773150 0.0133914i
\(565\) 4.71104 + 16.7494i 0.198195 + 0.704651i
\(566\) −7.60564 23.4078i −0.319689 0.983902i
\(567\) −0.0914165 1.74433i −0.00383913 0.0732550i
\(568\) 4.26519 + 11.1112i 0.178963 + 0.466215i
\(569\) −25.1394 + 5.34354i −1.05390 + 0.224013i −0.702111 0.712067i \(-0.747759\pi\)
−0.351787 + 0.936080i \(0.614426\pi\)
\(570\) 5.64622 + 12.2704i 0.236494 + 0.513950i
\(571\) 14.1758 + 1.48993i 0.593237 + 0.0623518i 0.396390 0.918082i \(-0.370263\pi\)
0.196848 + 0.980434i \(0.436930\pi\)
\(572\) −21.7835 + 14.1464i −0.910814 + 0.591489i
\(573\) 1.07655 0.170509i 0.0449736 0.00712312i
\(574\) 9.01143 12.4032i 0.376130 0.517698i
\(575\) 4.82751 13.5715i 0.201321 0.565971i
\(576\) −0.104528 + 0.994522i −0.00435535 + 0.0414384i
\(577\) −6.21783 5.03510i −0.258852 0.209614i 0.491106 0.871100i \(-0.336593\pi\)
−0.749958 + 0.661486i \(0.769926\pi\)
\(578\) −9.68113 6.28700i −0.402682 0.261505i
\(579\) 0.836689 + 0.372518i 0.0347716 + 0.0154813i
\(580\) −13.5389 5.82809i −0.562171 0.241998i
\(581\) −27.6279 + 8.97686i −1.14620 + 0.372423i
\(582\) 0.0349659 0.667188i 0.00144938 0.0276558i
\(583\) −60.2608 + 16.1468i −2.49575 + 0.668734i
\(584\) 0.993965 + 1.72160i 0.0411305 + 0.0712402i
\(585\) −8.60340 + 8.81917i −0.355707 + 0.364628i
\(586\) 9.59906 4.27378i 0.396533 0.176548i
\(587\) 17.0850 + 2.70599i 0.705172 + 0.111688i 0.498713 0.866767i \(-0.333806\pi\)
0.206459 + 0.978455i \(0.433806\pi\)
\(588\) 2.79233 2.79233i 0.115154 0.115154i
\(589\) 33.6315 0.242354i 1.38576 0.00998602i
\(590\) 16.5260 + 8.16423i 0.680364 + 0.336116i
\(591\) −18.3330 + 13.3197i −0.754117 + 0.547898i
\(592\) −7.45785 2.86280i −0.306516 0.117660i
\(593\) 23.3586 11.9018i 0.959222 0.488748i 0.0970033 0.995284i \(-0.469074\pi\)
0.862219 + 0.506536i \(0.169074\pi\)
\(594\) −4.08245 + 2.35700i −0.167505 + 0.0967091i
\(595\) −4.08543 + 20.4633i −0.167486 + 0.838913i
\(596\) 10.4672 + 11.6250i 0.428755 + 0.476180i
\(597\) 18.6326 + 9.49380i 0.762583 + 0.388555i
\(598\) 15.8518 0.830760i 0.648230 0.0339723i
\(599\) −14.6946 + 33.0046i −0.600404 + 1.34853i 0.316184 + 0.948698i \(0.397598\pi\)
−0.916588 + 0.399832i \(0.869068\pi\)
\(600\) 3.25261 3.79744i 0.132787 0.155030i
\(601\) −2.44682 + 0.257171i −0.0998077 + 0.0104902i −0.154301 0.988024i \(-0.549312\pi\)
0.0544929 + 0.998514i \(0.482646\pi\)
\(602\) −5.58769 + 4.52482i −0.227737 + 0.184418i
\(603\) 2.73042 + 4.20447i 0.111191 + 0.171219i
\(604\) −2.77460 2.01586i −0.112897 0.0820242i
\(605\) 23.9590 + 7.45801i 0.974071 + 0.303211i
\(606\) 2.38049 11.1993i 0.0967008 0.454941i
\(607\) −6.09380 7.52522i −0.247340 0.305439i 0.638323 0.769769i \(-0.279629\pi\)
−0.885662 + 0.464330i \(0.846295\pi\)
\(608\) 3.80145 4.69440i 0.154169 0.190383i
\(609\) −2.39396 11.2627i −0.0970080 0.456387i
\(610\) 18.0624 + 21.7489i 0.731324 + 0.880586i
\(611\) −1.50367 1.35391i −0.0608320 0.0547734i
\(612\) −2.42549 + 4.76030i −0.0980447 + 0.192424i
\(613\) 30.2712 + 1.58644i 1.22264 + 0.0640759i 0.652704 0.757613i \(-0.273634\pi\)
0.569937 + 0.821689i \(0.306968\pi\)
\(614\) −2.09734 1.21090i −0.0846419 0.0488680i
\(615\) −19.5851 + 1.26978i −0.789746 + 0.0512025i
\(616\) 7.83107 + 2.54447i 0.315523 + 0.102520i
\(617\) 5.14360 13.3995i 0.207074 0.539445i −0.790232 0.612808i \(-0.790040\pi\)
0.997305 + 0.0733629i \(0.0233731\pi\)
\(618\) 0.568271 3.58792i 0.0228592 0.144327i
\(619\) 25.5086 1.02528 0.512639 0.858604i \(-0.328668\pi\)
0.512639 + 0.858604i \(0.328668\pi\)
\(620\) −5.28565 11.2722i −0.212277 0.452701i
\(621\) 2.88091 0.115607
\(622\) 2.39115 15.0971i 0.0958762 0.605339i
\(623\) 1.31205 3.41802i 0.0525664 0.136940i
\(624\) 5.24025 + 1.70266i 0.209778 + 0.0681610i
\(625\) −24.1663 + 6.40223i −0.966653 + 0.256089i
\(626\) 14.6905 + 8.48154i 0.587149 + 0.338990i
\(627\) 28.4362 + 1.49028i 1.13563 + 0.0595161i
\(628\) 3.75968 7.37879i 0.150028 0.294446i
\(629\) −31.7167 28.5579i −1.26463 1.13868i
\(630\) 3.88916 + 0.360134i 0.154948 + 0.0143481i
\(631\) 1.55959 + 7.33729i 0.0620862 + 0.292093i 0.998226 0.0595347i \(-0.0189617\pi\)
−0.936140 + 0.351628i \(0.885628\pi\)
\(632\) 3.37019 4.16183i 0.134059 0.165549i
\(633\) −3.20137 3.95336i −0.127243 0.157132i
\(634\) −2.17836 + 10.2484i −0.0865136 + 0.407015i
\(635\) 5.31929 + 10.1277i 0.211089 + 0.401904i
\(636\) 10.7068 + 7.77892i 0.424551 + 0.308454i
\(637\) −11.8505 18.2481i −0.469533 0.723018i
\(638\) −24.1494 + 19.5558i −0.956083 + 0.774220i
\(639\) 11.8365 1.24407i 0.468245 0.0492145i
\(640\) −2.16688 0.551946i −0.0856533 0.0218176i
\(641\) −5.04264 + 11.3260i −0.199172 + 0.447348i −0.985326 0.170683i \(-0.945403\pi\)
0.786154 + 0.618031i \(0.212069\pi\)
\(642\) −12.5367 + 0.657018i −0.494782 + 0.0259304i
\(643\) 6.83066 + 3.48040i 0.269375 + 0.137253i 0.583461 0.812141i \(-0.301698\pi\)
−0.314086 + 0.949395i \(0.601698\pi\)
\(644\) −3.36717 3.73962i −0.132685 0.147362i
\(645\) 9.02616 + 1.80204i 0.355405 + 0.0709554i
\(646\) 27.9487 16.1362i 1.09963 0.634869i
\(647\) 3.29546 1.67912i 0.129558 0.0660130i −0.388010 0.921655i \(-0.626837\pi\)
0.517568 + 0.855642i \(0.326837\pi\)
\(648\) 0.933580 + 0.358368i 0.0366745 + 0.0140780i
\(649\) 31.4377 22.8409i 1.23404 0.896582i
\(650\) −16.7403 21.8803i −0.656607 0.858214i
\(651\) 4.80186 8.45722i 0.188200 0.331465i
\(652\) 4.52873 4.52873i 0.177359 0.177359i
\(653\) 32.0261 + 5.07243i 1.25328 + 0.198500i 0.747557 0.664198i \(-0.231227\pi\)
0.505720 + 0.862698i \(0.331227\pi\)
\(654\) 7.89784 3.51635i 0.308830 0.137500i
\(655\) 0.154378 + 12.4656i 0.00603205 + 0.487071i
\(656\) 4.38855 + 7.60118i 0.171344 + 0.296776i
\(657\) 1.92019 0.514514i 0.0749138 0.0200731i
\(658\) −0.0335705 + 0.640564i −0.00130872 + 0.0249718i
\(659\) 12.5231 4.06901i 0.487831 0.158506i −0.0547655 0.998499i \(-0.517441\pi\)
0.542597 + 0.839993i \(0.317441\pi\)
\(660\) −3.89907 9.79320i −0.151771 0.381200i
\(661\) −39.8361 17.7362i −1.54944 0.689857i −0.559178 0.829047i \(-0.688883\pi\)
−0.990266 + 0.139191i \(0.955550\pi\)
\(662\) 24.7132 + 16.0489i 0.960506 + 0.623760i
\(663\) 22.8771 + 18.5255i 0.888473 + 0.719472i
\(664\) 1.73841 16.5399i 0.0674633 0.641871i
\(665\) −18.5178 14.6195i −0.718090 0.566919i
\(666\) −4.69548 + 6.46278i −0.181946 + 0.250428i
\(667\) 18.7569 2.97081i 0.726272 0.115030i
\(668\) −19.1059 + 12.4075i −0.739229 + 0.480061i
\(669\) −13.7322 1.44332i −0.530919 0.0558018i
\(670\) −10.1836 + 4.68598i −0.393426 + 0.181035i
\(671\) 58.2981 12.3916i 2.25057 0.478374i
\(672\) −0.625970 1.63071i −0.0241473 0.0629059i
\(673\) 1.09770 + 20.9453i 0.0423131 + 0.807381i 0.934554 + 0.355821i \(0.115799\pi\)
−0.892241 + 0.451560i \(0.850868\pi\)
\(674\) −5.78421 17.8020i −0.222799 0.685706i
\(675\) −2.82621 4.12463i −0.108781 0.158757i
\(676\) 8.67963 15.0336i 0.333832 0.578214i
\(677\) −8.76439 + 32.7092i −0.336843 + 1.25712i 0.565014 + 0.825081i \(0.308871\pi\)
−0.901857 + 0.432034i \(0.857796\pi\)
\(678\) −3.53259 6.93310i −0.135668 0.266264i
\(679\) 0.474659 + 1.06610i 0.0182157 + 0.0409132i
\(680\) −9.75108 6.90171i −0.373937 0.264669i
\(681\) 5.86442i 0.224725i
\(682\) −26.2197 1.18473i −1.00401 0.0453656i
\(683\) 29.4128 + 29.4128i 1.12545 + 1.12545i 0.990908 + 0.134541i \(0.0429562\pi\)
0.134541 + 0.990908i \(0.457044\pi\)
\(684\) −3.55055 4.88692i −0.135759 0.186856i
\(685\) −40.8828 1.63521i −1.56205 0.0624782i
\(686\) −5.90989 + 18.1888i −0.225641 + 0.694451i
\(687\) 9.32713 + 2.49920i 0.355852 + 0.0953503i
\(688\) −1.06537 3.97603i −0.0406170 0.151585i
\(689\) 54.1901 48.7930i 2.06448 1.85886i
\(690\) −0.928869 + 6.37459i −0.0353614 + 0.242677i
\(691\) −10.8938 + 12.0987i −0.414418 + 0.460258i −0.913824 0.406110i \(-0.866885\pi\)
0.499406 + 0.866368i \(0.333552\pi\)
\(692\) 19.9012 7.63936i 0.756531 0.290405i
\(693\) 4.48460 6.90568i 0.170356 0.262325i
\(694\) −0.0607713 0.578200i −0.00230685 0.0219482i
\(695\) 3.88424 + 17.2224i 0.147338 + 0.653281i
\(696\) 6.44788 + 1.37054i 0.244406 + 0.0519502i
\(697\) 7.33561 + 46.3152i 0.277856 + 1.75431i
\(698\) 1.57958 + 9.97309i 0.0597881 + 0.377487i
\(699\) 27.9261 + 5.93587i 1.05626 + 0.224515i
\(700\) −2.05082 + 8.48943i −0.0775136 + 0.320870i
\(701\) −0.888497 8.45348i −0.0335581 0.319284i −0.998404 0.0564688i \(-0.982016\pi\)
0.964846 0.262815i \(-0.0846508\pi\)
\(702\) 3.00092 4.62101i 0.113262 0.174409i
\(703\) 45.0496 17.2929i 1.69908 0.652215i
\(704\) −3.15429 + 3.50319i −0.118882 + 0.132032i
\(705\) 0.658290 0.490845i 0.0247926 0.0184863i
\(706\) 9.29625 8.37038i 0.349869 0.315024i
\(707\) 5.17617 + 19.3177i 0.194670 + 0.726517i
\(708\) −7.96245 2.13353i −0.299247 0.0801831i
\(709\) 2.87970 8.86279i 0.108149 0.332849i −0.882307 0.470674i \(-0.844011\pi\)
0.990457 + 0.137824i \(0.0440110\pi\)
\(710\) −1.06360 + 26.5917i −0.0399163 + 0.997970i
\(711\) −3.14775 4.33251i −0.118050 0.162482i
\(712\) 1.48212 + 1.48212i 0.0555448 + 0.0555448i
\(713\) 13.5151 + 8.63897i 0.506143 + 0.323532i
\(714\) 9.33206i 0.349244i
\(715\) −57.2473 + 9.79527i −2.14093 + 0.366322i
\(716\) 2.73774 + 6.14906i 0.102314 + 0.229801i
\(717\) 5.17971 + 10.1657i 0.193440 + 0.379647i
\(718\) −5.86102 + 21.8736i −0.218731 + 0.816316i
\(719\) −9.96705 + 17.2634i −0.371708 + 0.643818i −0.989828 0.142266i \(-0.954561\pi\)
0.618120 + 0.786084i \(0.287894\pi\)
\(720\) −1.09397 + 1.95019i −0.0407698 + 0.0726792i
\(721\) 1.96078 + 6.03467i 0.0730234 + 0.224743i
\(722\) 0.915271 + 17.4644i 0.0340629 + 0.649958i
\(723\) −10.1736 26.5031i −0.378360 0.985663i
\(724\) 8.80414 1.87138i 0.327203 0.0695492i
\(725\) −22.6541 23.9401i −0.841353 0.889113i
\(726\) −11.1604 1.17301i −0.414202 0.0435344i
\(727\) −0.669796 + 0.434970i −0.0248414 + 0.0161322i −0.557000 0.830513i \(-0.688048\pi\)
0.532159 + 0.846645i \(0.321381\pi\)
\(728\) −9.50583 + 1.50558i −0.352310 + 0.0558004i
\(729\) 0.587785 0.809017i 0.0217698 0.0299636i
\(730\) 0.519353 + 4.41470i 0.0192221 + 0.163395i
\(731\) 2.29876 21.8712i 0.0850226 0.808936i
\(732\) −9.82567 7.95667i −0.363167 0.294087i
\(733\) 35.6757 + 23.1681i 1.31771 + 0.855733i 0.995846 0.0910518i \(-0.0290229\pi\)
0.321867 + 0.946785i \(0.395690\pi\)
\(734\) −21.6689 9.64760i −0.799813 0.356100i
\(735\) 8.20381 3.26627i 0.302602 0.120478i
\(736\) 2.73991 0.890250i 0.100994 0.0328151i
\(737\) −1.23683 + 23.6002i −0.0455593 + 0.869323i
\(738\) 8.47802 2.27168i 0.312080 0.0836216i
\(739\) 13.1153 + 22.7163i 0.482453 + 0.835634i 0.999797 0.0201440i \(-0.00641248\pi\)
−0.517344 + 0.855778i \(0.673079\pi\)
\(740\) −12.7863 12.4734i −0.470033 0.458533i
\(741\) −30.4056 + 13.5374i −1.11698 + 0.497310i
\(742\) −22.8321 3.61624i −0.838192 0.132757i
\(743\) −37.1625 + 37.1625i −1.36336 + 1.36336i −0.493760 + 0.869598i \(0.664378\pi\)
−0.869598 + 0.493760i \(0.835622\pi\)
\(744\) 3.30502 + 4.48072i 0.121168 + 0.164271i
\(745\) 11.2202 + 33.1305i 0.411076 + 1.21381i
\(746\) −17.4822 + 12.7015i −0.640067 + 0.465036i
\(747\) −15.5263 5.96000i −0.568079 0.218065i
\(748\) −22.4401 + 11.4338i −0.820491 + 0.418061i
\(749\) 18.9903 10.9641i 0.693892 0.400618i
\(750\) 10.0378 4.92368i 0.366529 0.179787i
\(751\) 34.7637 + 38.6090i 1.26855 + 1.40886i 0.871003 + 0.491278i \(0.163470\pi\)
0.397543 + 0.917584i \(0.369863\pi\)
\(752\) −0.327201 0.166717i −0.0119318 0.00607955i
\(753\) −22.4205 + 1.17501i −0.817048 + 0.0428197i
\(754\) 14.7731 33.1809i 0.538005 1.20838i
\(755\) −3.91634 6.59338i −0.142530 0.239958i
\(756\) −1.73716 + 0.182582i −0.0631798 + 0.00664046i
\(757\) −14.0696 + 11.3933i −0.511368 + 0.414097i −0.849969 0.526833i \(-0.823379\pi\)
0.338601 + 0.940930i \(0.390046\pi\)
\(758\) −5.06318 7.79662i −0.183903 0.283186i
\(759\) 10.9870 + 7.98250i 0.398802 + 0.289746i
\(760\) 11.9581 6.28066i 0.433764 0.227823i
\(761\) −8.55461 + 40.2463i −0.310104 + 1.45893i 0.496605 + 0.867977i \(0.334580\pi\)
−0.806709 + 0.590949i \(0.798753\pi\)
\(762\) −3.21956 3.97583i −0.116633 0.144029i
\(763\) −9.50330 + 11.7356i −0.344043 + 0.424857i
\(764\) −0.226618 1.06615i −0.00819874 0.0385721i
\(765\) −9.19030 + 7.63252i −0.332276 + 0.275954i
\(766\) 5.16984 + 4.65495i 0.186794 + 0.168190i
\(767\) −20.6203 + 40.4697i −0.744557 + 1.46128i
\(768\) 0.998630 + 0.0523360i 0.0360349 + 0.00188851i
\(769\) −20.3330 11.7392i −0.733225 0.423328i 0.0863756 0.996263i \(-0.472471\pi\)
−0.819601 + 0.572935i \(0.805805\pi\)
\(770\) 13.8343 + 12.1496i 0.498552 + 0.437842i
\(771\) −8.58736 2.79020i −0.309266 0.100487i
\(772\) 0.328219 0.855039i 0.0118128 0.0307735i
\(773\) −3.22569 + 20.3662i −0.116020 + 0.732522i 0.859258 + 0.511542i \(0.170926\pi\)
−0.975278 + 0.220980i \(0.929074\pi\)
\(774\) −4.11628 −0.147957
\(775\) −0.889951 27.8246i −0.0319680 0.999489i
\(776\) −0.668104 −0.0239835
\(777\) 2.18282 13.7818i 0.0783084 0.494420i
\(778\) 9.46782 24.6645i 0.339438 0.884266i
\(779\) −50.4236 16.3836i −1.80661 0.587005i
\(780\) 9.25735 + 8.13005i 0.331466 + 0.291103i
\(781\) 48.5881 + 28.0524i 1.73862 + 1.00379i
\(782\) 15.3705 + 0.805532i 0.549647 + 0.0288058i
\(783\) 2.99267 5.87345i 0.106949 0.209900i
\(784\) −2.93464 2.64236i −0.104809 0.0943702i
\(785\) 14.2456 11.8309i 0.508448 0.422265i
\(786\) −1.15915 5.45338i −0.0413456 0.194516i
\(787\) 18.8402 23.2657i 0.671579 0.829332i −0.321484 0.946915i \(-0.604181\pi\)
0.993063 + 0.117584i \(0.0375148\pi\)
\(788\) 14.2609 + 17.6107i 0.508023 + 0.627356i
\(789\) 4.29910 20.2257i 0.153052 0.720053i
\(790\) 10.6015 5.56814i 0.377183 0.198106i
\(791\) 10.9958 + 7.98895i 0.390967 + 0.284054i
\(792\) 2.56743 + 3.95350i 0.0912298 + 0.140482i
\(793\) −54.1387 + 43.8407i −1.92252 + 1.55683i
\(794\) 10.3014 1.08272i 0.365584 0.0384244i
\(795\) 15.1126 + 25.4429i 0.535989 + 0.902367i
\(796\) 8.50563 19.1040i 0.301474 0.677122i
\(797\) 47.1563 2.47136i 1.67036 0.0875400i 0.806489 0.591249i \(-0.201365\pi\)
0.863874 + 0.503709i \(0.168031\pi\)
\(798\) 9.40119 + 4.79014i 0.332798 + 0.169569i
\(799\) −1.31280 1.45801i −0.0464434 0.0515806i
\(800\) −3.96246 3.04941i −0.140094 0.107813i
\(801\) 1.81522 1.04802i 0.0641376 0.0370299i
\(802\) −8.95460 + 4.56260i −0.316198 + 0.161111i
\(803\) 8.74869 + 3.35831i 0.308735 + 0.118512i
\(804\) 4.05581 2.94672i 0.143037 0.103923i
\(805\) −3.60939 10.6576i −0.127214 0.375633i
\(806\) 27.9351 12.6795i 0.983971 0.446616i
\(807\) −12.4167 + 12.4167i −0.437088 + 0.437088i
\(808\) −11.3086 1.79110i −0.397834 0.0630107i
\(809\) −2.54119 + 1.13141i −0.0893435 + 0.0397783i −0.450922 0.892563i \(-0.648905\pi\)
0.361578 + 0.932342i \(0.382238\pi\)
\(810\) 1.60060 + 1.56144i 0.0562393 + 0.0548633i
\(811\) −2.71425 4.70121i −0.0953101 0.165082i 0.814428 0.580265i \(-0.197051\pi\)
−0.909738 + 0.415183i \(0.863718\pi\)
\(812\) −11.1220 + 2.98012i −0.390304 + 0.104582i
\(813\) −1.07906 + 20.5898i −0.0378444 + 0.722115i
\(814\) −35.8145 + 11.6368i −1.25530 + 0.407871i
\(815\) 13.3053 5.29739i 0.466065 0.185560i
\(816\) 4.88071 + 2.17303i 0.170859 + 0.0760714i
\(817\) 20.8533 + 13.5423i 0.729563 + 0.473784i
\(818\) −10.2647 8.31216i −0.358895 0.290628i
\(819\) −1.00602 + 9.57160i −0.0351530 + 0.334459i
\(820\) 2.29304 + 19.4918i 0.0800765 + 0.680682i
\(821\) 1.25406 1.72606i 0.0437669 0.0602400i −0.786573 0.617498i \(-0.788146\pi\)
0.830340 + 0.557258i \(0.188146\pi\)
\(822\) 18.0727 2.86244i 0.630358 0.0998389i
\(823\) 2.32161 1.50767i 0.0809263 0.0525541i −0.503542 0.863971i \(-0.667970\pi\)
0.584468 + 0.811417i \(0.301303\pi\)
\(824\) −3.61274 0.379715i −0.125856 0.0132280i
\(825\) 0.650273 23.5611i 0.0226396 0.820291i
\(826\) 14.0842 2.99369i 0.490052 0.104164i
\(827\) −6.58734 17.1606i −0.229064 0.596733i 0.770086 0.637940i \(-0.220213\pi\)
−0.999151 + 0.0412070i \(0.986880\pi\)
\(828\) −0.150775 2.87696i −0.00523980 0.0999813i
\(829\) 12.6705 + 38.9957i 0.440063 + 1.35438i 0.887808 + 0.460214i \(0.152227\pi\)
−0.447745 + 0.894161i \(0.647773\pi\)
\(830\) 18.1937 32.4335i 0.631514 1.12578i
\(831\) 12.5186 21.6829i 0.434267 0.752172i
\(832\) 1.42607 5.32218i 0.0494402 0.184513i
\(833\) −9.57815 18.7982i −0.331863 0.651318i
\(834\) −3.21140 7.21293i −0.111202 0.249763i
\(835\) −50.2105 + 8.59124i −1.73761 + 0.297312i
\(836\) 28.4753i 0.984838i
\(837\) 5.18344 2.03271i 0.179166 0.0702608i
\(838\) −4.14316 4.14316i −0.143123 0.143123i
\(839\) −5.77752 7.95207i −0.199462 0.274536i 0.697556 0.716531i \(-0.254271\pi\)
−0.897018 + 0.441995i \(0.854271\pi\)
\(840\) 0.156097 3.90268i 0.00538587 0.134655i
\(841\) 4.46639 13.7461i 0.154014 0.474005i
\(842\) 7.83519 + 2.09943i 0.270018 + 0.0723512i
\(843\) −1.79566 6.70151i −0.0618460 0.230812i
\(844\) −3.78039 + 3.40388i −0.130126 + 0.117166i
\(845\) 31.1183 23.2029i 1.07050 0.798204i
\(846\) −0.245722 + 0.272902i −0.00844810 + 0.00938257i
\(847\) 18.2996 7.02457i 0.628783 0.241367i
\(848\) 7.20791 11.0992i 0.247521 0.381149i
\(849\) 2.57269 + 24.4775i 0.0882946 + 0.840067i
\(850\) −13.9253 22.7963i −0.477635 0.781906i
\(851\) 22.5110 + 4.78487i 0.771669 + 0.164023i
\(852\) −1.86184 11.7552i −0.0637854 0.402725i
\(853\) −0.691270 4.36451i −0.0236686 0.149438i 0.973024 0.230705i \(-0.0741033\pi\)
−0.996692 + 0.0812672i \(0.974103\pi\)
\(854\) 21.6017 + 4.59159i 0.739196 + 0.157121i
\(855\) −2.97168 13.1762i −0.101629 0.450615i
\(856\) 1.31224 + 12.4851i 0.0448513 + 0.426732i
\(857\) 9.07542 13.9749i 0.310010 0.477374i −0.648983 0.760803i \(-0.724805\pi\)
0.958993 + 0.283429i \(0.0914720\pi\)
\(858\) 24.2487 9.30819i 0.827836 0.317776i
\(859\) 23.5439 26.1481i 0.803307 0.892163i −0.192716 0.981255i \(-0.561730\pi\)
0.996023 + 0.0890913i \(0.0283963\pi\)
\(860\) 1.32718 9.10811i 0.0452565 0.310584i
\(861\) −11.3933 + 10.2586i −0.388282 + 0.349610i
\(862\) −2.39151 8.92523i −0.0814551 0.303995i
\(863\) 22.9660 + 6.15371i 0.781770 + 0.209475i 0.627565 0.778564i \(-0.284052\pi\)
0.154205 + 0.988039i \(0.450718\pi\)
\(864\) 0.309017 0.951057i 0.0105130 0.0323556i
\(865\) 47.6284 + 1.90501i 1.61941 + 0.0647725i
\(866\) 13.0578 + 17.9726i 0.443723 + 0.610732i
\(867\) 8.16243 + 8.16243i 0.277211 + 0.277211i
\(868\) −8.69694 4.35266i −0.295194 0.147739i
\(869\) 25.2448i 0.856373i
\(870\) 12.0313 + 8.51562i 0.407899 + 0.288707i
\(871\) −11.2352 25.2346i −0.380689 0.855040i
\(872\) −3.92487 7.70299i −0.132913 0.260856i
\(873\) −0.172918 + 0.645339i −0.00585239 + 0.0218414i
\(874\) −8.70116 + 15.0708i −0.294321 + 0.509779i
\(875\) −11.7178 + 15.6229i −0.396134 + 0.528150i
\(876\) −0.614304 1.89063i −0.0207554 0.0638786i
\(877\) −2.27425 43.3953i −0.0767960 1.46536i −0.716958 0.697116i \(-0.754466\pi\)
0.640162 0.768240i \(-0.278867\pi\)
\(878\) −5.00690 13.0434i −0.168975 0.440194i
\(879\) −10.2779 + 2.18463i −0.346664 + 0.0736856i
\(880\) −9.57571 + 4.40627i −0.322797 + 0.148535i
\(881\) 31.2209 + 3.28145i 1.05186 + 0.110555i 0.614646 0.788803i \(-0.289299\pi\)
0.437213 + 0.899358i \(0.355965\pi\)
\(882\) −3.31187 + 2.15075i −0.111516 + 0.0724196i
\(883\) −14.0746 + 2.22920i −0.473649 + 0.0750186i −0.388695 0.921366i \(-0.627074\pi\)
−0.0849534 + 0.996385i \(0.527074\pi\)
\(884\) 17.3028 23.8153i 0.581957 0.800996i
\(885\) −14.4674 11.4218i −0.486317 0.383939i
\(886\) 0.361146 3.43607i 0.0121329 0.115437i
\(887\) −24.3707 19.7350i −0.818286 0.662635i 0.125901 0.992043i \(-0.459818\pi\)
−0.944188 + 0.329408i \(0.893151\pi\)
\(888\) 6.69966 + 4.35081i 0.224826 + 0.146004i
\(889\) 8.16357 + 3.63466i 0.273797 + 0.121902i
\(890\) 1.73368 + 4.35444i 0.0581131 + 0.145961i
\(891\) 4.48329 1.45671i 0.150196 0.0488016i
\(892\) −0.722648 + 13.7889i −0.0241961 + 0.461688i
\(893\) 2.14267 0.574126i 0.0717016 0.0192124i
\(894\) −7.82152 13.5473i −0.261591 0.453089i
\(895\) 0.186381 + 15.0498i 0.00623005 + 0.503058i
\(896\) −1.59571 + 0.710457i −0.0533090 + 0.0237347i
\(897\) −15.6782 2.48318i −0.523479 0.0829109i
\(898\) 2.15981 2.15981i 0.0720738 0.0720738i
\(899\) 31.6521 18.5797i 1.05566 0.619669i
\(900\) −3.97106 + 3.03820i −0.132369 + 0.101273i
\(901\) 57.2020 41.5597i 1.90568 1.38455i
\(902\) 38.6272 + 14.8276i 1.28614 + 0.493704i
\(903\) 6.40635 3.26420i 0.213190 0.108626i
\(904\) −6.73872 + 3.89060i −0.224126 + 0.129399i
\(905\) 19.7370 + 3.94042i 0.656079 + 0.130984i
\(906\) 2.29484 + 2.54868i 0.0762410 + 0.0846742i
\(907\) 26.8030 + 13.6568i 0.889978 + 0.453466i 0.838307 0.545198i \(-0.183546\pi\)
0.0516703 + 0.998664i \(0.483546\pi\)
\(908\) −5.85638 + 0.306920i −0.194351 + 0.0101855i
\(909\) −4.65694 + 10.4597i −0.154461 + 0.346925i
\(910\) −20.8547 5.31211i −0.691327 0.176095i
\(911\) −44.6443 + 4.69230i −1.47913 + 0.155463i −0.809451 0.587188i \(-0.800235\pi\)
−0.669679 + 0.742650i \(0.733568\pi\)
\(912\) −4.69440 + 3.80145i −0.155447 + 0.125879i
\(913\) −42.6989 65.7505i −1.41313 2.17602i
\(914\) −5.01622 3.64450i −0.165922 0.120549i
\(915\) −13.1458 25.0290i −0.434587 0.827433i
\(916\) 2.00763 9.44515i 0.0663339 0.312076i
\(917\) 6.12855 + 7.56813i 0.202383 + 0.249922i
\(918\) 3.36221 4.15198i 0.110969 0.137036i
\(919\) 7.39015 + 34.7679i 0.243779 + 1.14689i 0.914313 + 0.405009i \(0.132732\pi\)
−0.670534 + 0.741879i \(0.733935\pi\)
\(920\) 6.41447 + 0.593976i 0.211479 + 0.0195828i
\(921\) 1.79975 + 1.62050i 0.0593038 + 0.0533974i
\(922\) 14.4049 28.2713i 0.474401 0.931064i
\(923\) −65.4876 3.43206i −2.15555 0.112968i
\(924\) −7.13092 4.11704i −0.234590 0.135441i
\(925\) −15.2331 36.9233i −0.500860 1.21403i
\(926\) −12.4043 4.03041i −0.407632 0.132448i
\(927\) −1.30182 + 3.39137i −0.0427575 + 0.111387i
\(928\) 1.03121 6.51077i 0.0338510 0.213727i
\(929\) −6.58857 −0.216164 −0.108082 0.994142i \(-0.534471\pi\)
−0.108082 + 0.994142i \(0.534471\pi\)
\(930\) 2.82653 + 12.1248i 0.0926855 + 0.397588i
\(931\) 23.8539 0.781779
\(932\) 4.46620 28.1985i 0.146295 0.923672i
\(933\) −5.47776 + 14.2700i −0.179334 + 0.467180i
\(934\) 23.6228 + 7.67550i 0.772961 + 0.251150i
\(935\) −56.1976 + 3.64353i −1.83786 + 0.119156i
\(936\) −4.77173 2.75496i −0.155969 0.0900488i
\(937\) −13.6573 0.715747i −0.446163 0.0233824i −0.172068 0.985085i \(-0.555045\pi\)
−0.274095 + 0.961703i \(0.588378\pi\)
\(938\) −3.97550 + 7.80235i −0.129805 + 0.254756i
\(939\) −12.6060 11.3505i −0.411382 0.370410i
\(940\) −0.524624 0.631699i −0.0171114 0.0206038i
\(941\) −8.63646 40.6314i −0.281541 1.32454i −0.860609 0.509266i \(-0.829917\pi\)
0.579069 0.815279i \(-0.303416\pi\)
\(942\) −5.21166 + 6.43587i −0.169805 + 0.209692i
\(943\) −15.9130 19.6509i −0.518199 0.639922i
\(944\) −1.71389 + 8.06320i −0.0557823 + 0.262435i
\(945\) −3.72929 1.16087i −0.121314 0.0377629i
\(946\) −15.6983 11.4055i −0.510397 0.370825i
\(947\) −21.0217 32.3706i −0.683113 1.05190i −0.994813 0.101721i \(-0.967565\pi\)
0.311700 0.950181i \(-0.399102\pi\)
\(948\) −4.16183 + 3.37019i −0.135170 + 0.109459i
\(949\) −10.8933 + 1.14494i −0.353613 + 0.0371662i
\(950\) 30.1130 2.32715i 0.976995 0.0755028i
\(951\) 4.26151 9.57151i 0.138189 0.310377i
\(952\) −9.31927 + 0.488402i −0.302039 + 0.0158292i
\(953\) 22.3201 + 11.3727i 0.723020 + 0.368397i 0.776454 0.630174i \(-0.217017\pi\)
−0.0534339 + 0.998571i \(0.517017\pi\)
\(954\) −8.85547 9.83500i −0.286706 0.318420i
\(955\) 0.477172 2.39008i 0.0154409 0.0773413i
\(956\) 9.88073 5.70464i 0.319566 0.184501i
\(957\) 27.6875 14.1075i 0.895010 0.456031i
\(958\) 17.6748 + 6.78473i 0.571048 + 0.219205i
\(959\) −25.8574 + 18.7865i −0.834980 + 0.606649i
\(960\) 2.00477 + 0.990404i 0.0647037 + 0.0319651i
\(961\) 30.4123 + 6.00760i 0.981042 + 0.193793i
\(962\) 31.1238 31.1238i 1.00347 1.00347i
\(963\) 12.3993 + 1.96386i 0.399562 + 0.0632844i
\(964\) −25.9344 + 11.5467i −0.835290 + 0.371895i
\(965\) 1.43007 1.46594i 0.0460357 0.0471903i
\(966\) 2.51608 + 4.35798i 0.0809535 + 0.140216i
\(967\) 16.9247 4.53497i 0.544262 0.145835i 0.0237961 0.999717i \(-0.492425\pi\)
0.520466 + 0.853882i \(0.325758\pi\)
\(968\) −0.587308 + 11.2065i −0.0188768 + 0.360191i
\(969\) −30.6928 + 9.97270i −0.985995 + 0.320369i
\(970\) −1.37219 0.590687i −0.0440583 0.0189658i
\(971\) 7.63044 + 3.39729i 0.244873 + 0.109024i 0.525503 0.850791i \(-0.323877\pi\)
−0.280631 + 0.959816i \(0.590544\pi\)
\(972\) −0.838671 0.544639i −0.0269004 0.0174693i
\(973\) 10.7179 + 8.67916i 0.343599 + 0.278241i
\(974\) 4.18901 39.8558i 0.134225 1.27706i
\(975\) 11.8253 + 24.8826i 0.378712 + 0.796881i
\(976\) −7.43153 + 10.2286i −0.237878 + 0.327410i
\(977\) 3.18061 0.503758i 0.101757 0.0161167i −0.105348 0.994435i \(-0.533596\pi\)
0.207105 + 0.978319i \(0.433596\pi\)
\(978\) −5.37134 + 3.48819i −0.171757 + 0.111540i
\(979\) 9.82660 + 1.03282i 0.314059 + 0.0330090i
\(980\) −3.69115 8.02163i −0.117910 0.256241i
\(981\) −8.45635 + 1.79745i −0.269990 + 0.0573882i
\(982\) −6.60000 17.1936i −0.210614 0.548669i
\(983\) −0.671322 12.8096i −0.0214118 0.408562i −0.988218 0.153052i \(-0.951090\pi\)
0.966806 0.255510i \(-0.0822435\pi\)
\(984\) −2.71227 8.34751i −0.0864640 0.266109i
\(985\) 13.7197 + 48.7783i 0.437147 + 1.55421i
\(986\) 17.6090 30.4997i 0.560786 0.971310i
\(987\) 0.166018 0.619586i 0.00528440 0.0197217i
\(988\) 15.1102 + 29.6554i 0.480719 + 0.943464i
\(989\) 4.82334 + 10.8334i 0.153373 + 0.344482i
\(990\) 1.77775 + 10.3899i 0.0565006 + 0.330211i
\(991\) 36.9973i 1.17526i 0.809131 + 0.587628i \(0.199938\pi\)
−0.809131 + 0.587628i \(0.800062\pi\)
\(992\) 4.30160 3.53500i 0.136576 0.112236i
\(993\) −20.8364 20.8364i −0.661223 0.661223i
\(994\) 12.2195 + 16.8186i 0.387578 + 0.533455i
\(995\) 34.3596 31.7168i 1.08927 1.00549i
\(996\) −5.13925 + 15.8170i −0.162843 + 0.501180i
\(997\) 38.6077 + 10.3449i 1.22272 + 0.327626i 0.811740 0.584020i \(-0.198521\pi\)
0.410977 + 0.911646i \(0.365188\pi\)
\(998\) −0.938801 3.50365i −0.0297172 0.110906i
\(999\) 5.93656 5.34531i 0.187825 0.169118i
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 930.2.bt.a.13.1 256
5.2 odd 4 930.2.bt.b.757.4 yes 256
31.12 odd 30 930.2.bt.b.43.4 yes 256
155.12 even 60 inner 930.2.bt.a.787.1 yes 256
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
930.2.bt.a.13.1 256 1.1 even 1 trivial
930.2.bt.a.787.1 yes 256 155.12 even 60 inner
930.2.bt.b.43.4 yes 256 31.12 odd 30
930.2.bt.b.757.4 yes 256 5.2 odd 4