Properties

Label 287.2.z.a.4.3
Level $287$
Weight $2$
Character 287.4
Analytic conductor $2.292$
Analytic rank $0$
Dimension $208$
CM no
Inner twists $4$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [287,2,Mod(4,287)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(287, base_ring=CyclotomicField(30))
 
chi = DirichletCharacter(H, H._module([20, 9]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("287.4");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 287 = 7 \cdot 41 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 287.z (of order \(30\), degree \(8\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(2.29170653801\)
Analytic rank: \(0\)
Dimension: \(208\)
Relative dimension: \(26\) over \(\Q(\zeta_{30})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label 4.3
Character \(\chi\) \(=\) 287.4
Dual form 287.2.z.a.72.3

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-2.12964 - 0.948175i) q^{2} +(1.26625 + 0.731069i) q^{3} +(2.29805 + 2.55224i) q^{4} +(3.03336 - 0.644761i) q^{5} +(-2.00347 - 2.75753i) q^{6} +(2.17812 - 1.50193i) q^{7} +(-1.03329 - 3.18014i) q^{8} +(-0.431077 - 0.746647i) q^{9} +O(q^{10})\) \(q+(-2.12964 - 0.948175i) q^{2} +(1.26625 + 0.731069i) q^{3} +(2.29805 + 2.55224i) q^{4} +(3.03336 - 0.644761i) q^{5} +(-2.00347 - 2.75753i) q^{6} +(2.17812 - 1.50193i) q^{7} +(-1.03329 - 3.18014i) q^{8} +(-0.431077 - 0.746647i) q^{9} +(-7.07130 - 1.50305i) q^{10} +(-0.532002 + 2.50287i) q^{11} +(1.04404 + 4.91181i) q^{12} +(0.216929 + 0.298577i) q^{13} +(-6.06270 + 1.13331i) q^{14} +(4.31236 + 1.40117i) q^{15} +(-0.0968162 + 0.921144i) q^{16} +(-0.870024 + 4.09314i) q^{17} +(0.210085 + 1.99882i) q^{18} +(2.88552 + 0.303280i) q^{19} +(8.61641 + 6.26019i) q^{20} +(3.85605 - 0.309454i) q^{21} +(3.50613 - 4.82578i) q^{22} +(-4.91100 - 2.18652i) q^{23} +(1.01650 - 4.78225i) q^{24} +(4.21785 - 1.87791i) q^{25} +(-0.178876 - 0.841545i) q^{26} -5.64700i q^{27} +(8.83872 + 2.10760i) q^{28} +(-5.09755 - 1.65629i) q^{29} +(-7.85519 - 7.07285i) q^{30} +(3.71896 + 0.790489i) q^{31} +(-2.26421 + 3.92173i) q^{32} +(-2.50342 + 2.78033i) q^{33} +(5.73385 - 7.89196i) q^{34} +(5.63865 - 5.96026i) q^{35} +(0.914989 - 2.81605i) q^{36} +(0.270552 - 0.0575076i) q^{37} +(-5.85754 - 3.38186i) q^{38} +(0.0564054 + 0.536662i) q^{39} +(-5.18478 - 8.98030i) q^{40} +(6.03956 + 2.12689i) q^{41} +(-8.50541 - 2.99719i) q^{42} +(0.780459 - 0.567037i) q^{43} +(-7.61051 + 4.39393i) q^{44} +(-1.78902 - 1.98691i) q^{45} +(8.38544 + 9.31297i) q^{46} +(4.23101 - 9.50300i) q^{47} +(-0.796013 + 1.09562i) q^{48} +(2.48843 - 6.54276i) q^{49} -10.7631 q^{50} +(-4.09403 + 4.54689i) q^{51} +(-0.263527 + 1.23980i) q^{52} +(-4.50332 + 4.05481i) q^{53} +(-5.35434 + 12.0261i) q^{54} +7.93514i q^{55} +(-7.02697 - 5.37481i) q^{56} +(3.43207 + 2.49354i) q^{57} +(9.28547 + 8.36067i) q^{58} +(0.389838 + 3.70906i) q^{59} +(6.33388 + 14.2261i) q^{60} +(-1.49886 + 14.2607i) q^{61} +(-7.17051 - 5.20968i) q^{62} +(-2.06035 - 0.978843i) q^{63} +(10.0391 - 7.29381i) q^{64} +(0.850534 + 0.765824i) q^{65} +(7.96761 - 3.54741i) q^{66} +(4.35345 - 3.91986i) q^{67} +(-12.4461 + 7.18573i) q^{68} +(-4.62005 - 6.35895i) q^{69} +(-17.6596 + 7.34675i) q^{70} +(-14.8300 + 4.81857i) q^{71} +(-1.92902 + 2.14239i) q^{72} +(0.507071 - 0.878274i) q^{73} +(-0.630705 - 0.134060i) q^{74} +(6.71372 + 0.705641i) q^{75} +(5.85703 + 8.06151i) q^{76} +(2.60037 + 6.25059i) q^{77} +(0.388726 - 1.19638i) q^{78} +(-13.1815 + 7.61033i) q^{79} +(0.300240 + 2.85659i) q^{80} +(2.83511 - 4.91056i) q^{81} +(-10.8454 - 10.2561i) q^{82} -1.86657 q^{83} +(9.65121 + 9.13045i) q^{84} +12.9769i q^{85} +(-2.19974 + 0.467570i) q^{86} +(-5.24390 - 5.82394i) q^{87} +(8.50920 - 0.894353i) q^{88} +(0.757612 + 0.0796282i) q^{89} +(1.92603 + 5.92770i) q^{90} +(0.920937 + 0.324525i) q^{91} +(-5.70520 - 17.5588i) q^{92} +(4.13122 + 3.71977i) q^{93} +(-18.0210 + 16.2262i) q^{94} +(8.94838 - 0.940512i) q^{95} +(-5.73410 + 3.31059i) q^{96} +(-11.9916 - 3.89631i) q^{97} +(-11.5031 + 11.5742i) q^{98} +(2.09810 - 0.681713i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 208 q - 3 q^{2} + 21 q^{4} + q^{5} - 40 q^{6} - 10 q^{7} - 8 q^{8} + 84 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 208 q - 3 q^{2} + 21 q^{4} + q^{5} - 40 q^{6} - 10 q^{7} - 8 q^{8} + 84 q^{9} - 6 q^{10} - 5 q^{11} - 35 q^{12} - 20 q^{13} - 50 q^{15} + 21 q^{16} - 5 q^{17} + 18 q^{18} - 5 q^{19} - 96 q^{20} + 8 q^{21} + 20 q^{22} + 40 q^{24} + 27 q^{25} - 5 q^{26} + 5 q^{28} + 20 q^{29} - 45 q^{30} - 11 q^{31} - 30 q^{32} - 10 q^{33} + 100 q^{34} - 106 q^{36} - 16 q^{37} - 4 q^{39} + 6 q^{40} - 14 q^{41} - 8 q^{42} - 8 q^{43} + 34 q^{45} - 32 q^{46} + 25 q^{47} - 50 q^{48} + 14 q^{49} - 120 q^{50} + 2 q^{51} - 105 q^{52} + 20 q^{53} - 35 q^{54} + 100 q^{56} - 98 q^{57} - 5 q^{58} - 37 q^{59} - 100 q^{60} + 51 q^{61} - 70 q^{62} - 30 q^{63} - 100 q^{64} + 40 q^{65} - 176 q^{66} + 15 q^{67} - 30 q^{69} + 105 q^{70} - 10 q^{71} - 33 q^{72} - 34 q^{73} - 23 q^{74} - 120 q^{75} + 110 q^{76} + 72 q^{77} - 18 q^{78} + 127 q^{80} - 24 q^{81} - 63 q^{82} - 128 q^{83} + 33 q^{84} - 61 q^{86} + 28 q^{87} + 150 q^{88} + 35 q^{89} - 34 q^{90} + 14 q^{91} + 102 q^{92} - 55 q^{93} - 155 q^{94} + 55 q^{95} + 20 q^{97} + 88 q^{98} + 120 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/287\mathbb{Z}\right)^\times\).

\(n\) \(206\) \(211\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(e\left(\frac{3}{10}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.12964 0.948175i −1.50588 0.670461i −0.522603 0.852576i \(-0.675039\pi\)
−0.983277 + 0.182116i \(0.941705\pi\)
\(3\) 1.26625 + 0.731069i 0.731069 + 0.422083i 0.818813 0.574060i \(-0.194633\pi\)
−0.0877443 + 0.996143i \(0.527966\pi\)
\(4\) 2.29805 + 2.55224i 1.14903 + 1.27612i
\(5\) 3.03336 0.644761i 1.35656 0.288346i 0.528476 0.848948i \(-0.322764\pi\)
0.828085 + 0.560602i \(0.189430\pi\)
\(6\) −2.00347 2.75753i −0.817912 1.12576i
\(7\) 2.17812 1.50193i 0.823253 0.567675i
\(8\) −1.03329 3.18014i −0.365323 1.12435i
\(9\) −0.431077 0.746647i −0.143692 0.248882i
\(10\) −7.07130 1.50305i −2.23614 0.475307i
\(11\) −0.532002 + 2.50287i −0.160405 + 0.754645i 0.822239 + 0.569142i \(0.192725\pi\)
−0.982644 + 0.185503i \(0.940609\pi\)
\(12\) 1.04404 + 4.91181i 0.301387 + 1.41792i
\(13\) 0.216929 + 0.298577i 0.0601652 + 0.0828102i 0.838039 0.545610i \(-0.183702\pi\)
−0.777874 + 0.628420i \(0.783702\pi\)
\(14\) −6.06270 + 1.13331i −1.62032 + 0.302891i
\(15\) 4.31236 + 1.40117i 1.11345 + 0.361780i
\(16\) −0.0968162 + 0.921144i −0.0242040 + 0.230286i
\(17\) −0.870024 + 4.09314i −0.211012 + 0.992733i 0.737342 + 0.675519i \(0.236080\pi\)
−0.948354 + 0.317213i \(0.897253\pi\)
\(18\) 0.210085 + 1.99882i 0.0495175 + 0.471127i
\(19\) 2.88552 + 0.303280i 0.661984 + 0.0695773i 0.429561 0.903038i \(-0.358668\pi\)
0.232422 + 0.972615i \(0.425335\pi\)
\(20\) 8.61641 + 6.26019i 1.92669 + 1.39982i
\(21\) 3.85605 0.309454i 0.841460 0.0675285i
\(22\) 3.50613 4.82578i 0.747510 1.02886i
\(23\) −4.91100 2.18652i −1.02401 0.455920i −0.175156 0.984541i \(-0.556043\pi\)
−0.848858 + 0.528620i \(0.822710\pi\)
\(24\) 1.01650 4.78225i 0.207492 0.976174i
\(25\) 4.21785 1.87791i 0.843570 0.375581i
\(26\) −0.178876 0.841545i −0.0350805 0.165041i
\(27\) 5.64700i 1.08677i
\(28\) 8.83872 + 2.10760i 1.67036 + 0.398298i
\(29\) −5.09755 1.65629i −0.946592 0.307566i −0.205262 0.978707i \(-0.565805\pi\)
−0.741330 + 0.671141i \(0.765805\pi\)
\(30\) −7.85519 7.07285i −1.43416 1.29132i
\(31\) 3.71896 + 0.790489i 0.667945 + 0.141976i 0.529390 0.848379i \(-0.322421\pi\)
0.138555 + 0.990355i \(0.455754\pi\)
\(32\) −2.26421 + 3.92173i −0.400259 + 0.693270i
\(33\) −2.50342 + 2.78033i −0.435789 + 0.483993i
\(34\) 5.73385 7.89196i 0.983347 1.35346i
\(35\) 5.63865 5.96026i 0.953106 1.00747i
\(36\) 0.914989 2.81605i 0.152498 0.469341i
\(37\) 0.270552 0.0575076i 0.0444785 0.00945420i −0.185619 0.982622i \(-0.559429\pi\)
0.230097 + 0.973168i \(0.426096\pi\)
\(38\) −5.85754 3.38186i −0.950219 0.548609i
\(39\) 0.0564054 + 0.536662i 0.00903209 + 0.0859346i
\(40\) −5.18478 8.98030i −0.819785 1.41991i
\(41\) 6.03956 + 2.12689i 0.943221 + 0.332165i
\(42\) −8.50541 2.99719i −1.31241 0.462476i
\(43\) 0.780459 0.567037i 0.119019 0.0864723i −0.526683 0.850061i \(-0.676565\pi\)
0.645702 + 0.763589i \(0.276565\pi\)
\(44\) −7.61051 + 4.39393i −1.14733 + 0.662410i
\(45\) −1.78902 1.98691i −0.266692 0.296191i
\(46\) 8.38544 + 9.31297i 1.23637 + 1.37312i
\(47\) 4.23101 9.50300i 0.617156 1.38615i −0.286577 0.958057i \(-0.592517\pi\)
0.903733 0.428098i \(-0.140816\pi\)
\(48\) −0.796013 + 1.09562i −0.114895 + 0.158139i
\(49\) 2.48843 6.54276i 0.355491 0.934680i
\(50\) −10.7631 −1.52213
\(51\) −4.09403 + 4.54689i −0.573279 + 0.636691i
\(52\) −0.263527 + 1.23980i −0.0365447 + 0.171929i
\(53\) −4.50332 + 4.05481i −0.618578 + 0.556971i −0.917715 0.397240i \(-0.869968\pi\)
0.299136 + 0.954210i \(0.403301\pi\)
\(54\) −5.35434 + 12.0261i −0.728634 + 1.63654i
\(55\) 7.93514i 1.06997i
\(56\) −7.02697 5.37481i −0.939019 0.718239i
\(57\) 3.43207 + 2.49354i 0.454588 + 0.330278i
\(58\) 9.28547 + 8.36067i 1.21924 + 1.09781i
\(59\) 0.389838 + 3.70906i 0.0507526 + 0.482879i 0.990146 + 0.140038i \(0.0447225\pi\)
−0.939394 + 0.342841i \(0.888611\pi\)
\(60\) 6.33388 + 14.2261i 0.817701 + 1.83659i
\(61\) −1.49886 + 14.2607i −0.191910 + 1.82590i 0.298502 + 0.954409i \(0.403513\pi\)
−0.490412 + 0.871491i \(0.663154\pi\)
\(62\) −7.17051 5.20968i −0.910655 0.661630i
\(63\) −2.06035 0.978843i −0.259579 0.123323i
\(64\) 10.0391 7.29381i 1.25488 0.911727i
\(65\) 0.850534 + 0.765824i 0.105496 + 0.0949888i
\(66\) 7.96761 3.54741i 0.980745 0.436656i
\(67\) 4.35345 3.91986i 0.531859 0.478888i −0.358893 0.933379i \(-0.616846\pi\)
0.890751 + 0.454491i \(0.150179\pi\)
\(68\) −12.4461 + 7.18573i −1.50931 + 0.871398i
\(69\) −4.62005 6.35895i −0.556188 0.765528i
\(70\) −17.6596 + 7.34675i −2.11073 + 0.878104i
\(71\) −14.8300 + 4.81857i −1.76000 + 0.571859i −0.997200 0.0747762i \(-0.976176\pi\)
−0.762800 + 0.646635i \(0.776176\pi\)
\(72\) −1.92902 + 2.14239i −0.227337 + 0.252483i
\(73\) 0.507071 0.878274i 0.0593482 0.102794i −0.834825 0.550516i \(-0.814431\pi\)
0.894173 + 0.447722i \(0.147764\pi\)
\(74\) −0.630705 0.134060i −0.0733179 0.0155842i
\(75\) 6.71372 + 0.705641i 0.775234 + 0.0814803i
\(76\) 5.85703 + 8.06151i 0.671847 + 0.924718i
\(77\) 2.60037 + 6.25059i 0.296339 + 0.712321i
\(78\) 0.388726 1.19638i 0.0440146 0.135463i
\(79\) −13.1815 + 7.61033i −1.48303 + 0.856229i −0.999814 0.0192704i \(-0.993866\pi\)
−0.483218 + 0.875500i \(0.660532\pi\)
\(80\) 0.300240 + 2.85659i 0.0335678 + 0.319376i
\(81\) 2.83511 4.91056i 0.315013 0.545618i
\(82\) −10.8454 10.2561i −1.19767 1.13259i
\(83\) −1.86657 −0.204882 −0.102441 0.994739i \(-0.532665\pi\)
−0.102441 + 0.994739i \(0.532665\pi\)
\(84\) 9.65121 + 9.13045i 1.05303 + 0.996214i
\(85\) 12.9769i 1.40755i
\(86\) −2.19974 + 0.467570i −0.237204 + 0.0504193i
\(87\) −5.24390 5.82394i −0.562205 0.624392i
\(88\) 8.50920 0.894353i 0.907084 0.0953384i
\(89\) 0.757612 + 0.0796282i 0.0803067 + 0.00844058i 0.144597 0.989491i \(-0.453812\pi\)
−0.0642899 + 0.997931i \(0.520478\pi\)
\(90\) 1.92603 + 5.92770i 0.203021 + 0.624835i
\(91\) 0.920937 + 0.324525i 0.0965404 + 0.0340195i
\(92\) −5.70520 17.5588i −0.594808 1.83063i
\(93\) 4.13122 + 3.71977i 0.428388 + 0.385722i
\(94\) −18.0210 + 16.2262i −1.85873 + 1.67360i
\(95\) 8.94838 0.940512i 0.918084 0.0964945i
\(96\) −5.73410 + 3.31059i −0.585234 + 0.337885i
\(97\) −11.9916 3.89631i −1.21756 0.395611i −0.371370 0.928485i \(-0.621112\pi\)
−0.846194 + 0.532874i \(0.821112\pi\)
\(98\) −11.5031 + 11.5742i −1.16199 + 1.16917i
\(99\) 2.09810 0.681713i 0.210867 0.0685148i
\(100\) 14.4857 + 6.44945i 1.44857 + 0.644945i
\(101\) −0.363037 0.815395i −0.0361235 0.0811348i 0.894583 0.446903i \(-0.147473\pi\)
−0.930706 + 0.365768i \(0.880806\pi\)
\(102\) 13.0300 5.80135i 1.29017 0.574419i
\(103\) 1.70376 16.2102i 0.167876 1.59723i −0.508755 0.860911i \(-0.669894\pi\)
0.676631 0.736322i \(-0.263439\pi\)
\(104\) 0.725365 0.998380i 0.0711279 0.0978992i
\(105\) 11.4973 3.42492i 1.12202 0.334238i
\(106\) 13.4351 4.36533i 1.30493 0.423998i
\(107\) 1.70587 16.2302i 0.164912 1.56904i −0.528776 0.848762i \(-0.677349\pi\)
0.693688 0.720276i \(-0.255985\pi\)
\(108\) 14.4125 12.9771i 1.38685 1.24872i
\(109\) −5.68541 3.28248i −0.544564 0.314404i 0.202363 0.979311i \(-0.435138\pi\)
−0.746927 + 0.664907i \(0.768471\pi\)
\(110\) 7.52390 16.8990i 0.717376 1.61125i
\(111\) 0.384628 + 0.124973i 0.0365073 + 0.0118619i
\(112\) 1.17261 + 2.15178i 0.110802 + 0.203324i
\(113\) 5.49415 + 16.9092i 0.516846 + 1.59069i 0.779898 + 0.625907i \(0.215271\pi\)
−0.263052 + 0.964782i \(0.584729\pi\)
\(114\) −4.94474 8.56454i −0.463117 0.802142i
\(115\) −16.3066 3.46608i −1.52060 0.323214i
\(116\) −7.48716 16.8164i −0.695166 1.56137i
\(117\) 0.129418 0.290679i 0.0119647 0.0268733i
\(118\) 2.68663 8.26859i 0.247324 0.761185i
\(119\) 4.25258 + 10.2221i 0.389833 + 0.937056i
\(120\) 15.1617i 1.38407i
\(121\) 4.06765 + 1.81103i 0.369786 + 0.164639i
\(122\) 16.7137 28.9490i 1.51319 2.62092i
\(123\) 6.09268 + 7.10851i 0.549359 + 0.640953i
\(124\) 6.52884 + 11.3083i 0.586307 + 1.01551i
\(125\) −0.960873 + 0.698115i −0.0859431 + 0.0624413i
\(126\) 3.45968 + 4.03815i 0.308212 + 0.359747i
\(127\) 0.848881 2.61259i 0.0753260 0.231830i −0.906303 0.422628i \(-0.861108\pi\)
0.981629 + 0.190798i \(0.0611077\pi\)
\(128\) −19.4365 + 4.13135i −1.71796 + 0.365163i
\(129\) 1.40280 0.147440i 0.123509 0.0129814i
\(130\) −1.08519 2.43738i −0.0951776 0.213772i
\(131\) −12.1976 + 13.5468i −1.06571 + 1.18359i −0.0833614 + 0.996519i \(0.526566\pi\)
−0.982347 + 0.187069i \(0.940101\pi\)
\(132\) −12.8491 −1.11837
\(133\) 6.74052 3.67326i 0.584477 0.318512i
\(134\) −12.9880 + 4.22005i −1.12199 + 0.364557i
\(135\) −3.64097 17.1294i −0.313365 1.47426i
\(136\) 13.9158 1.46260i 1.19327 0.125417i
\(137\) −14.6365 8.45041i −1.25048 0.721967i −0.279279 0.960210i \(-0.590095\pi\)
−0.971206 + 0.238243i \(0.923429\pi\)
\(138\) 3.80962 + 17.9229i 0.324297 + 1.52570i
\(139\) 6.67621 + 4.85055i 0.566269 + 0.411418i 0.833748 0.552145i \(-0.186191\pi\)
−0.267479 + 0.963564i \(0.586191\pi\)
\(140\) 28.1699 + 0.694242i 2.38079 + 0.0586742i
\(141\) 12.3049 8.94000i 1.03626 0.752884i
\(142\) 36.1514 + 3.79966i 3.03376 + 0.318861i
\(143\) −0.862706 + 0.384101i −0.0721431 + 0.0321202i
\(144\) 0.729505 0.324797i 0.0607921 0.0270664i
\(145\) −16.5306 1.73744i −1.37280 0.144287i
\(146\) −1.91263 + 1.38961i −0.158291 + 0.115005i
\(147\) 7.93418 6.46554i 0.654400 0.533269i
\(148\) 0.768516 + 0.558359i 0.0631716 + 0.0458969i
\(149\) 2.91705 + 13.7237i 0.238974 + 1.12429i 0.919967 + 0.391996i \(0.128215\pi\)
−0.680992 + 0.732290i \(0.738451\pi\)
\(150\) −13.6287 7.86854i −1.11278 0.642463i
\(151\) −18.3550 + 1.92918i −1.49371 + 0.156995i −0.815877 0.578225i \(-0.803745\pi\)
−0.677828 + 0.735220i \(0.737079\pi\)
\(152\) −2.01711 9.48974i −0.163609 0.769720i
\(153\) 3.43118 1.11486i 0.277395 0.0901310i
\(154\) 0.388823 15.7771i 0.0313323 1.27135i
\(155\) 11.7906 0.947046
\(156\) −1.24007 + 1.37724i −0.0992850 + 0.110267i
\(157\) 1.41326 + 3.17423i 0.112790 + 0.253331i 0.961117 0.276142i \(-0.0890561\pi\)
−0.848326 + 0.529474i \(0.822389\pi\)
\(158\) 35.2877 3.70888i 2.80734 0.295063i
\(159\) −8.66666 + 1.84216i −0.687311 + 0.146092i
\(160\) −4.33959 + 13.3559i −0.343075 + 1.05588i
\(161\) −13.9807 + 2.61346i −1.10184 + 0.205969i
\(162\) −10.6938 + 7.76952i −0.840187 + 0.610431i
\(163\) 4.25403 + 7.36819i 0.333201 + 0.577121i 0.983138 0.182867i \(-0.0585379\pi\)
−0.649937 + 0.759989i \(0.725205\pi\)
\(164\) 8.45087 + 20.3021i 0.659902 + 1.58533i
\(165\) −5.80113 + 10.0479i −0.451618 + 0.782225i
\(166\) 3.97510 + 1.76983i 0.308528 + 0.137365i
\(167\) 6.05040i 0.468194i −0.972213 0.234097i \(-0.924787\pi\)
0.972213 0.234097i \(-0.0752133\pi\)
\(168\) −4.96853 11.9430i −0.383331 0.921426i
\(169\) 3.97513 12.2342i 0.305779 0.941092i
\(170\) 12.3044 27.6362i 0.943705 2.11960i
\(171\) −1.01744 2.28520i −0.0778055 0.174754i
\(172\) 3.24075 + 0.688842i 0.247105 + 0.0525237i
\(173\) 2.89658 + 5.01702i 0.220223 + 0.381437i 0.954876 0.297006i \(-0.0959882\pi\)
−0.734653 + 0.678443i \(0.762655\pi\)
\(174\) 5.64548 + 17.3750i 0.427983 + 1.31720i
\(175\) 6.36651 10.4252i 0.481263 0.788072i
\(176\) −2.25400 0.732369i −0.169902 0.0552044i
\(177\) −2.21795 + 4.98159i −0.166711 + 0.374439i
\(178\) −1.53794 0.887928i −0.115273 0.0665530i
\(179\) 5.25883 4.73507i 0.393063 0.353916i −0.448776 0.893644i \(-0.648140\pi\)
0.841839 + 0.539729i \(0.181473\pi\)
\(180\) 0.959817 9.13204i 0.0715405 0.680662i
\(181\) −6.42740 + 2.08839i −0.477745 + 0.155229i −0.537984 0.842955i \(-0.680814\pi\)
0.0602389 + 0.998184i \(0.480814\pi\)
\(182\) −1.65355 1.56433i −0.122569 0.115956i
\(183\) −12.3235 + 16.9619i −0.910980 + 1.25386i
\(184\) −1.87895 + 17.8770i −0.138518 + 1.31791i
\(185\) 0.783604 0.348883i 0.0576117 0.0256504i
\(186\) −5.27101 11.8389i −0.386489 0.868069i
\(187\) −9.78176 4.35512i −0.715313 0.318478i
\(188\) 33.9770 11.0398i 2.47803 0.805161i
\(189\) −8.48138 12.2999i −0.616930 0.894683i
\(190\) −19.9485 6.48168i −1.44722 0.470230i
\(191\) 21.0337 12.1438i 1.52194 0.878695i 0.522280 0.852774i \(-0.325082\pi\)
0.999664 0.0259202i \(-0.00825159\pi\)
\(192\) 18.0442 1.89653i 1.30223 0.136870i
\(193\) −3.09009 + 2.78233i −0.222429 + 0.200276i −0.772810 0.634638i \(-0.781149\pi\)
0.550380 + 0.834914i \(0.314483\pi\)
\(194\) 21.8434 + 19.6679i 1.56826 + 1.41207i
\(195\) 0.517117 + 1.59152i 0.0370315 + 0.113971i
\(196\) 22.4173 8.68450i 1.60123 0.620321i
\(197\) −5.42967 16.7108i −0.386848 1.19060i −0.935131 0.354303i \(-0.884718\pi\)
0.548283 0.836293i \(-0.315282\pi\)
\(198\) −5.11457 0.537563i −0.363477 0.0382029i
\(199\) −14.1943 + 1.49188i −1.00621 + 0.105757i −0.593270 0.805003i \(-0.702163\pi\)
−0.412936 + 0.910760i \(0.635497\pi\)
\(200\) −10.3303 11.4729i −0.730460 0.811259i
\(201\) 8.37824 1.78085i 0.590955 0.125611i
\(202\) 2.08072i 0.146399i
\(203\) −13.5907 + 4.04853i −0.953882 + 0.284151i
\(204\) −21.0131 −1.47121
\(205\) 19.6915 + 2.55756i 1.37532 + 0.178628i
\(206\) −18.9984 + 32.9063i −1.32368 + 2.29269i
\(207\) 0.484461 + 4.60934i 0.0336724 + 0.320371i
\(208\) −0.296034 + 0.170915i −0.0205263 + 0.0118509i
\(209\) −2.29418 + 7.06075i −0.158691 + 0.488402i
\(210\) −27.7325 3.60760i −1.91372 0.248948i
\(211\) 6.59126 + 9.07209i 0.453761 + 0.624548i 0.973200 0.229959i \(-0.0738592\pi\)
−0.519439 + 0.854507i \(0.673859\pi\)
\(212\) −20.6977 2.17542i −1.42152 0.149408i
\(213\) −22.3012 4.74026i −1.52805 0.324798i
\(214\) −19.0220 + 32.9470i −1.30032 + 2.25221i
\(215\) 2.00181 2.22324i 0.136522 0.151624i
\(216\) −17.9583 + 5.83499i −1.22190 + 0.397021i
\(217\) 9.28761 3.86382i 0.630484 0.262293i
\(218\) 8.99550 + 12.3812i 0.609252 + 0.838564i
\(219\) 1.28416 0.741408i 0.0867753 0.0500997i
\(220\) −20.2524 + 18.2354i −1.36542 + 1.22943i
\(221\) −1.41085 + 0.628150i −0.0949040 + 0.0422540i
\(222\) −0.700621 0.630842i −0.0470226 0.0423394i
\(223\) −17.0665 + 12.3995i −1.14285 + 0.830332i −0.987514 0.157529i \(-0.949647\pi\)
−0.155340 + 0.987861i \(0.549647\pi\)
\(224\) 0.958418 + 11.9427i 0.0640370 + 0.797954i
\(225\) −3.22035 2.33972i −0.214690 0.155982i
\(226\) 4.33239 41.2199i 0.288186 2.74191i
\(227\) 6.91101 + 15.5224i 0.458700 + 1.03026i 0.983809 + 0.179221i \(0.0573578\pi\)
−0.525109 + 0.851035i \(0.675976\pi\)
\(228\) 1.52293 + 14.4898i 0.100859 + 0.959608i
\(229\) 9.39712 + 8.46121i 0.620979 + 0.559132i 0.918419 0.395608i \(-0.129466\pi\)
−0.297440 + 0.954741i \(0.596133\pi\)
\(230\) 31.4407 + 22.8430i 2.07314 + 1.50622i
\(231\) −1.27690 + 9.81585i −0.0840141 + 0.645835i
\(232\) 17.9224i 1.17666i
\(233\) −4.00298 + 8.99084i −0.262244 + 0.589009i −0.995895 0.0905171i \(-0.971148\pi\)
0.733651 + 0.679526i \(0.237815\pi\)
\(234\) −0.551228 + 0.496328i −0.0360349 + 0.0324460i
\(235\) 6.70702 31.5540i 0.437518 2.05836i
\(236\) −8.57056 + 9.51858i −0.557896 + 0.619607i
\(237\) −22.2547 −1.44560
\(238\) 0.635872 25.8015i 0.0412175 1.67246i
\(239\) 0.603153 0.830169i 0.0390147 0.0536991i −0.789064 0.614311i \(-0.789434\pi\)
0.828079 + 0.560612i \(0.189434\pi\)
\(240\) −1.70818 + 3.83665i −0.110263 + 0.247654i
\(241\) 8.93771 + 9.92633i 0.575728 + 0.639411i 0.958724 0.284339i \(-0.0917742\pi\)
−0.382995 + 0.923750i \(0.625108\pi\)
\(242\) −6.94543 7.71369i −0.446469 0.495854i
\(243\) −7.49142 + 4.32517i −0.480575 + 0.277460i
\(244\) −39.8413 + 28.9464i −2.55058 + 1.85310i
\(245\) 3.32981 21.4510i 0.212734 1.37045i
\(246\) −6.23508 20.9155i −0.397534 1.33352i
\(247\) 0.535399 + 0.927339i 0.0340666 + 0.0590052i
\(248\) −1.32890 12.6436i −0.0843851 0.802871i
\(249\) −2.36353 1.36459i −0.149783 0.0864772i
\(250\) 2.70824 0.575655i 0.171284 0.0364076i
\(251\) 5.90529 18.1746i 0.372739 1.14717i −0.572253 0.820077i \(-0.693930\pi\)
0.944992 0.327094i \(-0.106070\pi\)
\(252\) −2.23654 7.50794i −0.140889 0.472956i
\(253\) 8.08524 11.1284i 0.508315 0.699635i
\(254\) −4.28499 + 4.75897i −0.268864 + 0.298604i
\(255\) −9.48704 + 16.4320i −0.594101 + 1.02901i
\(256\) 21.0342 + 4.47095i 1.31464 + 0.279435i
\(257\) 3.71533 + 3.34530i 0.231756 + 0.208674i 0.776824 0.629718i \(-0.216829\pi\)
−0.545068 + 0.838392i \(0.683496\pi\)
\(258\) −3.12725 1.01610i −0.194694 0.0632598i
\(259\) 0.502923 0.531608i 0.0312501 0.0330325i
\(260\) 3.93067i 0.243770i
\(261\) 0.960769 + 4.52007i 0.0594701 + 0.279785i
\(262\) 38.8211 17.2843i 2.39838 1.06783i
\(263\) 6.28170 29.5531i 0.387346 1.82232i −0.162079 0.986778i \(-0.551820\pi\)
0.549425 0.835543i \(-0.314847\pi\)
\(264\) 11.4286 + 5.08834i 0.703382 + 0.313166i
\(265\) −11.0458 + 15.2033i −0.678539 + 0.933929i
\(266\) −17.8377 + 1.43151i −1.09370 + 0.0877713i
\(267\) 0.901111 + 0.654696i 0.0551471 + 0.0400667i
\(268\) 20.0089 + 2.10302i 1.22224 + 0.128462i
\(269\) 2.51918 + 23.9684i 0.153597 + 1.46138i 0.751458 + 0.659781i \(0.229351\pi\)
−0.597861 + 0.801600i \(0.703982\pi\)
\(270\) −8.48774 + 39.9317i −0.516547 + 2.43016i
\(271\) 1.60476 15.2683i 0.0974823 0.927482i −0.831042 0.556210i \(-0.812255\pi\)
0.928524 0.371272i \(-0.121078\pi\)
\(272\) −3.68614 1.19770i −0.223505 0.0726212i
\(273\) 0.928884 + 1.08420i 0.0562186 + 0.0656186i
\(274\) 23.1580 + 31.8743i 1.39903 + 1.92560i
\(275\) 2.45626 + 11.5558i 0.148118 + 0.696840i
\(276\) 5.61249 26.4047i 0.337832 1.58937i
\(277\) 17.7272 + 3.76803i 1.06512 + 0.226399i 0.706955 0.707259i \(-0.250068\pi\)
0.358167 + 0.933657i \(0.383402\pi\)
\(278\) −9.61873 16.6601i −0.576893 0.999208i
\(279\) −1.01294 3.11751i −0.0606432 0.186641i
\(280\) −24.7808 11.7730i −1.48094 0.703573i
\(281\) 10.0867 + 13.8831i 0.601721 + 0.828198i 0.995864 0.0908511i \(-0.0289587\pi\)
−0.394144 + 0.919049i \(0.628959\pi\)
\(282\) −34.6815 + 7.37179i −2.06525 + 0.438983i
\(283\) −8.86609 9.84679i −0.527034 0.585331i 0.419572 0.907722i \(-0.362180\pi\)
−0.946607 + 0.322391i \(0.895513\pi\)
\(284\) −46.3783 26.7765i −2.75205 1.58889i
\(285\) 12.0184 + 5.35096i 0.711911 + 0.316963i
\(286\) 2.20144 0.130174
\(287\) 16.3493 4.43835i 0.965071 0.261987i
\(288\) 3.90420 0.230057
\(289\) −0.466590 0.207739i −0.0274465 0.0122200i
\(290\) 33.5568 + 19.3741i 1.97053 + 1.13768i
\(291\) −12.3359 13.7004i −0.723143 0.803131i
\(292\) 3.40684 0.724147i 0.199370 0.0423775i
\(293\) −16.3143 22.4547i −0.953093 1.31182i −0.950140 0.311825i \(-0.899060\pi\)
−0.00295372 0.999996i \(-0.500940\pi\)
\(294\) −23.0274 + 6.24625i −1.34298 + 0.364289i
\(295\) 3.57398 + 10.9996i 0.208085 + 0.640420i
\(296\) −0.462441 0.800972i −0.0268789 0.0465555i
\(297\) 14.1337 + 3.00422i 0.820122 + 0.174322i
\(298\) 6.80017 31.9923i 0.393923 1.85326i
\(299\) −0.412493 1.94063i −0.0238551 0.112229i
\(300\) 13.6275 + 18.7566i 0.786784 + 1.08292i
\(301\) 0.848288 2.40727i 0.0488945 0.138753i
\(302\) 40.9186 + 13.2953i 2.35460 + 0.765056i
\(303\) 0.136414 1.29790i 0.00783681 0.0745622i
\(304\) −0.558730 + 2.62862i −0.0320454 + 0.150762i
\(305\) 4.64817 + 44.2244i 0.266153 + 2.53228i
\(306\) −8.36425 0.879118i −0.478152 0.0502558i
\(307\) −24.8975 18.0891i −1.42097 1.03240i −0.991610 0.129266i \(-0.958738\pi\)
−0.429364 0.903132i \(-0.641262\pi\)
\(308\) −9.97726 + 21.0009i −0.568507 + 1.19664i
\(309\) 14.0081 19.2805i 0.796894 1.09683i
\(310\) −25.1097 11.1796i −1.42614 0.634957i
\(311\) 4.83187 22.7322i 0.273990 1.28902i −0.598789 0.800907i \(-0.704351\pi\)
0.872779 0.488116i \(-0.162316\pi\)
\(312\) 1.64838 0.733905i 0.0933209 0.0415492i
\(313\) −0.0469759 0.221004i −0.00265523 0.0124919i 0.976800 0.214153i \(-0.0686992\pi\)
−0.979455 + 0.201662i \(0.935366\pi\)
\(314\) 8.09998i 0.457108i
\(315\) −6.88090 1.64075i −0.387695 0.0924461i
\(316\) −49.7151 16.1534i −2.79670 0.908701i
\(317\) 17.0750 + 15.3744i 0.959025 + 0.863510i 0.990711 0.135988i \(-0.0434208\pi\)
−0.0316853 + 0.999498i \(0.510087\pi\)
\(318\) 20.2035 + 4.29439i 1.13296 + 0.240817i
\(319\) 6.85741 11.8774i 0.383941 0.665005i
\(320\) 25.7494 28.5976i 1.43943 1.59865i
\(321\) 14.0255 19.3044i 0.782826 1.07747i
\(322\) 32.2519 + 7.69048i 1.79733 + 0.428574i
\(323\) −3.75184 + 11.5470i −0.208758 + 0.642491i
\(324\) 19.0482 4.04882i 1.05823 0.224934i
\(325\) 1.47567 + 0.851979i 0.0818555 + 0.0472593i
\(326\) −2.07319 19.7251i −0.114824 1.09247i
\(327\) −4.79943 8.31286i −0.265409 0.459702i
\(328\) 0.523196 21.4044i 0.0288887 1.18186i
\(329\) −5.05715 27.0534i −0.278810 1.49150i
\(330\) 21.8814 15.8978i 1.20453 0.875144i
\(331\) 9.86908 5.69791i 0.542454 0.313186i −0.203619 0.979050i \(-0.565270\pi\)
0.746073 + 0.665864i \(0.231937\pi\)
\(332\) −4.28946 4.76393i −0.235415 0.261455i
\(333\) −0.159567 0.177217i −0.00874420 0.00971142i
\(334\) −5.73683 + 12.8851i −0.313905 + 0.705043i
\(335\) 10.6782 14.6973i 0.583413 0.803000i
\(336\) −0.0882763 + 3.58194i −0.00481586 + 0.195411i
\(337\) 14.7546 0.803732 0.401866 0.915698i \(-0.368362\pi\)
0.401866 + 0.915698i \(0.368362\pi\)
\(338\) −20.0657 + 22.2853i −1.09143 + 1.21216i
\(339\) −5.40487 + 25.4279i −0.293552 + 1.38105i
\(340\) −33.1203 + 29.8217i −1.79620 + 1.61731i
\(341\) −3.95699 + 8.88754i −0.214283 + 0.481288i
\(342\) 5.83136i 0.315324i
\(343\) −4.40663 17.9884i −0.237936 0.971281i
\(344\) −2.60970 1.89606i −0.140705 0.102228i
\(345\) −18.1143 16.3102i −0.975241 0.878111i
\(346\) −1.41164 13.4309i −0.0758904 0.722049i
\(347\) 6.36977 + 14.3067i 0.341947 + 0.768026i 0.999888 + 0.0149562i \(0.00476089\pi\)
−0.657941 + 0.753069i \(0.728572\pi\)
\(348\) 2.81337 26.7674i 0.150812 1.43488i
\(349\) 7.66361 + 5.56794i 0.410224 + 0.298045i 0.773692 0.633561i \(-0.218408\pi\)
−0.363469 + 0.931606i \(0.618408\pi\)
\(350\) −23.4433 + 16.1653i −1.25310 + 0.864073i
\(351\) 1.68606 1.22500i 0.0899953 0.0653854i
\(352\) −8.61102 7.75340i −0.458969 0.413257i
\(353\) 14.3900 6.40683i 0.765901 0.341001i 0.0136750 0.999906i \(-0.495647\pi\)
0.752226 + 0.658906i \(0.228980\pi\)
\(354\) 9.44684 8.50597i 0.502094 0.452087i
\(355\) −41.8780 + 24.1783i −2.22265 + 1.28325i
\(356\) 1.53780 + 2.11660i 0.0815032 + 0.112180i
\(357\) −2.08822 + 16.0526i −0.110520 + 0.849594i
\(358\) −15.6891 + 5.09769i −0.829193 + 0.269421i
\(359\) 6.24901 6.94023i 0.329810 0.366292i −0.555318 0.831638i \(-0.687404\pi\)
0.885129 + 0.465346i \(0.154070\pi\)
\(360\) −4.47008 + 7.74240i −0.235594 + 0.408060i
\(361\) −10.3506 2.20008i −0.544766 0.115794i
\(362\) 15.6682 + 1.64679i 0.823501 + 0.0865534i
\(363\) 3.82666 + 5.26695i 0.200848 + 0.276443i
\(364\) 1.28809 + 3.09623i 0.0675143 + 0.162287i
\(365\) 0.971855 2.99106i 0.0508692 0.156559i
\(366\) 42.3274 24.4377i 2.21249 1.27738i
\(367\) 0.216314 + 2.05809i 0.0112915 + 0.107432i 0.998716 0.0506601i \(-0.0161325\pi\)
−0.987424 + 0.158092i \(0.949466\pi\)
\(368\) 2.48956 4.31205i 0.129777 0.224781i
\(369\) −1.01548 5.42628i −0.0528637 0.282481i
\(370\) −1.99959 −0.103954
\(371\) −3.71876 + 15.5955i −0.193068 + 0.809679i
\(372\) 19.0921i 0.989880i
\(373\) 3.41015 0.724850i 0.176571 0.0375313i −0.118778 0.992921i \(-0.537898\pi\)
0.295349 + 0.955390i \(0.404564\pi\)
\(374\) 16.7022 + 18.5496i 0.863649 + 0.959179i
\(375\) −1.72707 + 0.181523i −0.0891857 + 0.00937379i
\(376\) −34.5927 3.63584i −1.78398 0.187504i
\(377\) −0.611274 1.88131i −0.0314822 0.0968922i
\(378\) 6.39983 + 34.2360i 0.329172 + 1.76091i
\(379\) 3.48994 + 10.7409i 0.179266 + 0.551725i 0.999803 0.0198697i \(-0.00632513\pi\)
−0.820536 + 0.571594i \(0.806325\pi\)
\(380\) 22.9642 + 20.6771i 1.17804 + 1.06071i
\(381\) 2.98487 2.68759i 0.152920 0.137690i
\(382\) −56.3085 + 5.91826i −2.88099 + 0.302805i
\(383\) 11.7824 6.80260i 0.602055 0.347597i −0.167795 0.985822i \(-0.553665\pi\)
0.769850 + 0.638225i \(0.220331\pi\)
\(384\) −27.6317 8.97808i −1.41007 0.458160i
\(385\) 11.9180 + 17.2837i 0.607397 + 0.880859i
\(386\) 9.21890 2.99540i 0.469229 0.152462i
\(387\) −0.759814 0.338291i −0.0386235 0.0171963i
\(388\) −17.6130 39.5594i −0.894165 2.00833i
\(389\) 21.1355 9.41015i 1.07161 0.477113i 0.206375 0.978473i \(-0.433833\pi\)
0.865239 + 0.501360i \(0.167167\pi\)
\(390\) 0.407771 3.87968i 0.0206483 0.196455i
\(391\) 13.2224 18.1991i 0.668686 0.920367i
\(392\) −23.3782 1.15300i −1.18078 0.0582353i
\(393\) −25.3488 + 8.23633i −1.27868 + 0.415468i
\(394\) −4.28155 + 40.7362i −0.215701 + 2.05226i
\(395\) −35.0774 + 31.5838i −1.76493 + 1.58915i
\(396\) 6.56143 + 3.78825i 0.329725 + 0.190367i
\(397\) 4.69388 10.5426i 0.235579 0.529119i −0.756609 0.653867i \(-0.773146\pi\)
0.992188 + 0.124748i \(0.0398122\pi\)
\(398\) 31.6432 + 10.2815i 1.58613 + 0.515365i
\(399\) 11.2206 + 0.276529i 0.561732 + 0.0138438i
\(400\) 1.32147 + 4.06706i 0.0660734 + 0.203353i
\(401\) 5.46363 + 9.46328i 0.272841 + 0.472574i 0.969588 0.244743i \(-0.0787035\pi\)
−0.696747 + 0.717317i \(0.745370\pi\)
\(402\) −19.5312 4.15147i −0.974125 0.207057i
\(403\) 0.570727 + 1.28187i 0.0284299 + 0.0638547i
\(404\) 1.24681 2.80038i 0.0620310 0.139324i
\(405\) 5.43379 16.7235i 0.270007 0.830997i
\(406\) 32.7820 + 4.26448i 1.62694 + 0.211643i
\(407\) 0.707752i 0.0350820i
\(408\) 18.6901 + 8.32135i 0.925296 + 0.411968i
\(409\) 6.28694 10.8893i 0.310869 0.538441i −0.667682 0.744447i \(-0.732713\pi\)
0.978551 + 0.206006i \(0.0660466\pi\)
\(410\) −39.5108 24.1177i −1.95130 1.19109i
\(411\) −12.3557 21.4006i −0.609460 1.05562i
\(412\) 45.2876 32.9033i 2.23116 1.62103i
\(413\) 6.41986 + 7.49328i 0.315900 + 0.368720i
\(414\) 3.33874 10.2756i 0.164090 0.505017i
\(415\) −5.66197 + 1.20349i −0.277935 + 0.0590770i
\(416\) −1.66211 + 0.174694i −0.0814915 + 0.00856510i
\(417\) 4.90765 + 11.0228i 0.240329 + 0.539787i
\(418\) 11.5806 12.8615i 0.566425 0.629079i
\(419\) 10.4212 0.509107 0.254553 0.967059i \(-0.418072\pi\)
0.254553 + 0.967059i \(0.418072\pi\)
\(420\) 35.1626 + 21.4732i 1.71576 + 1.04779i
\(421\) −29.2020 + 9.48831i −1.42322 + 0.462432i −0.916623 0.399752i \(-0.869096\pi\)
−0.506596 + 0.862184i \(0.669096\pi\)
\(422\) −5.43505 25.5699i −0.264574 1.24472i
\(423\) −8.91928 + 0.937454i −0.433670 + 0.0455806i
\(424\) 17.5481 + 10.1314i 0.852211 + 0.492024i
\(425\) 4.01691 + 18.8981i 0.194849 + 0.916691i
\(426\) 42.9988 + 31.2405i 2.08330 + 1.51361i
\(427\) 18.1539 + 33.3128i 0.878527 + 1.61212i
\(428\) 45.3437 32.9441i 2.19177 1.59241i
\(429\) −1.37320 0.144330i −0.0662989 0.00696830i
\(430\) −6.37115 + 2.83662i −0.307244 + 0.136794i
\(431\) −21.7402 + 9.67935i −1.04719 + 0.466238i −0.856896 0.515490i \(-0.827610\pi\)
−0.190292 + 0.981728i \(0.560943\pi\)
\(432\) 5.20170 + 0.546721i 0.250267 + 0.0263041i
\(433\) −19.8798 + 14.4435i −0.955361 + 0.694111i −0.952069 0.305884i \(-0.901048\pi\)
−0.00329238 + 0.999995i \(0.501048\pi\)
\(434\) −23.4428 0.577743i −1.12529 0.0277325i
\(435\) −19.6617 14.2851i −0.942707 0.684916i
\(436\) −4.68769 22.0539i −0.224500 1.05619i
\(437\) −13.5077 7.79865i −0.646159 0.373060i
\(438\) −3.43777 + 0.361324i −0.164263 + 0.0172647i
\(439\) 3.47337 + 16.3409i 0.165775 + 0.779910i 0.979943 + 0.199280i \(0.0638603\pi\)
−0.814168 + 0.580630i \(0.802806\pi\)
\(440\) 25.2349 8.19930i 1.20302 0.390887i
\(441\) −5.95784 + 0.962451i −0.283707 + 0.0458310i
\(442\) 3.60019 0.171244
\(443\) −2.11361 + 2.34740i −0.100421 + 0.111528i −0.791260 0.611480i \(-0.790575\pi\)
0.690839 + 0.723008i \(0.257241\pi\)
\(444\) 0.564933 + 1.26886i 0.0268105 + 0.0602174i
\(445\) 2.34945 0.246938i 0.111375 0.0117060i
\(446\) 48.1022 10.2244i 2.27771 0.484141i
\(447\) −6.33923 + 19.5101i −0.299835 + 0.922798i
\(448\) 10.9116 30.9648i 0.515523 1.46295i
\(449\) 6.83304 4.96450i 0.322471 0.234289i −0.414758 0.909932i \(-0.636134\pi\)
0.737229 + 0.675643i \(0.236134\pi\)
\(450\) 4.63971 + 8.03621i 0.218718 + 0.378831i
\(451\) −8.53641 + 13.9848i −0.401964 + 0.658516i
\(452\) −30.5307 + 52.8807i −1.43604 + 2.48730i
\(453\) −24.6523 10.9759i −1.15827 0.515693i
\(454\) 39.6098i 1.85898i
\(455\) 3.00278 + 0.390619i 0.140772 + 0.0183125i
\(456\) 4.38349 13.4910i 0.205276 0.631774i
\(457\) −11.6967 + 26.2712i −0.547148 + 1.22892i 0.402449 + 0.915442i \(0.368159\pi\)
−0.949597 + 0.313473i \(0.898508\pi\)
\(458\) −11.9897 26.9294i −0.560244 1.25833i
\(459\) 23.1140 + 4.91303i 1.07887 + 0.229320i
\(460\) −28.6272 49.5837i −1.33475 2.31185i
\(461\) −3.52523 10.8495i −0.164186 0.505313i 0.834789 0.550570i \(-0.185590\pi\)
−0.998975 + 0.0452565i \(0.985590\pi\)
\(462\) 12.0265 19.6935i 0.559523 0.916222i
\(463\) −9.58699 3.11500i −0.445545 0.144766i 0.0776473 0.996981i \(-0.475259\pi\)
−0.523193 + 0.852214i \(0.675259\pi\)
\(464\) 2.01921 4.53522i 0.0937396 0.210543i
\(465\) 14.9299 + 8.61976i 0.692356 + 0.399732i
\(466\) 17.0498 15.3517i 0.789815 0.711153i
\(467\) 2.80277 26.6666i 0.129697 1.23398i −0.715149 0.698972i \(-0.753641\pi\)
0.844846 0.535010i \(-0.179692\pi\)
\(468\) 1.03929 0.337687i 0.0480413 0.0156096i
\(469\) 3.59500 15.0765i 0.166002 0.696168i
\(470\) −44.2022 + 60.8392i −2.03890 + 2.80630i
\(471\) −0.531045 + 5.05256i −0.0244693 + 0.232810i
\(472\) 11.3925 5.07228i 0.524384 0.233471i
\(473\) 1.00401 + 2.25505i 0.0461647 + 0.103688i
\(474\) 47.3944 + 21.1014i 2.17690 + 0.969217i
\(475\) 12.7402 4.13955i 0.584561 0.189936i
\(476\) −16.3166 + 34.3445i −0.747869 + 1.57418i
\(477\) 4.96879 + 1.61446i 0.227505 + 0.0739209i
\(478\) −2.07164 + 1.19606i −0.0947546 + 0.0547066i
\(479\) −9.67822 + 1.01722i −0.442209 + 0.0464780i −0.323017 0.946393i \(-0.604697\pi\)
−0.119192 + 0.992871i \(0.538030\pi\)
\(480\) −15.2591 + 13.7393i −0.696478 + 0.627112i
\(481\) 0.0758609 + 0.0683055i 0.00345896 + 0.00311446i
\(482\) −9.62216 29.6140i −0.438277 1.34888i
\(483\) −19.6137 6.91160i −0.892455 0.314489i
\(484\) 4.72546 + 14.5435i 0.214794 + 0.661067i
\(485\) −38.8871 4.08720i −1.76577 0.185590i
\(486\) 20.0550 2.10787i 0.909714 0.0956148i
\(487\) 11.3852 + 12.6446i 0.515914 + 0.572981i 0.943659 0.330919i \(-0.107359\pi\)
−0.427745 + 0.903899i \(0.640692\pi\)
\(488\) 46.8999 9.96888i 2.12306 0.451270i
\(489\) 12.4399i 0.562554i
\(490\) −27.4306 + 42.5256i −1.23919 + 1.92111i
\(491\) −7.21366 −0.325548 −0.162774 0.986663i \(-0.552044\pi\)
−0.162774 + 0.986663i \(0.552044\pi\)
\(492\) −4.14136 + 31.8857i −0.186707 + 1.43752i
\(493\) 11.2144 19.4240i 0.505073 0.874812i
\(494\) −0.260926 2.48255i −0.0117396 0.111695i
\(495\) 5.92475 3.42066i 0.266298 0.153747i
\(496\) −1.08821 + 3.34917i −0.0488621 + 0.150382i
\(497\) −25.0645 + 32.7690i −1.12430 + 1.46989i
\(498\) 3.73960 + 5.14712i 0.167575 + 0.230648i
\(499\) 6.85952 + 0.720964i 0.307074 + 0.0322748i 0.256812 0.966461i \(-0.417328\pi\)
0.0502618 + 0.998736i \(0.483994\pi\)
\(500\) −3.98989 0.848078i −0.178433 0.0379272i
\(501\) 4.42325 7.66130i 0.197616 0.342282i
\(502\) −29.8088 + 33.1061i −1.33043 + 1.47760i
\(503\) 7.14499 2.32155i 0.318579 0.103513i −0.145362 0.989378i \(-0.546435\pi\)
0.463942 + 0.885866i \(0.346435\pi\)
\(504\) −0.983922 + 7.56363i −0.0438274 + 0.336911i
\(505\) −1.62696 2.23932i −0.0723987 0.0996483i
\(506\) −27.7703 + 16.0332i −1.23454 + 0.712761i
\(507\) 13.9775 12.5854i 0.620764 0.558939i
\(508\) 8.61873 3.83730i 0.382394 0.170253i
\(509\) −3.36500 3.02986i −0.149151 0.134296i 0.591177 0.806542i \(-0.298663\pi\)
−0.740328 + 0.672245i \(0.765330\pi\)
\(510\) 35.7844 25.9989i 1.58456 1.15125i
\(511\) −0.214639 2.67457i −0.00949505 0.118316i
\(512\) −8.40445 6.10619i −0.371428 0.269858i
\(513\) 1.71262 16.2945i 0.0756142 0.719421i
\(514\) −4.74037 10.6470i −0.209089 0.469621i
\(515\) −5.28357 50.2698i −0.232822 2.21515i
\(516\) 3.60000 + 3.24146i 0.158481 + 0.142697i
\(517\) 21.5339 + 15.6453i 0.947060 + 0.688079i
\(518\) −1.57510 + 0.655272i −0.0692060 + 0.0287910i
\(519\) 8.47039i 0.371809i
\(520\) 1.55658 3.49614i 0.0682605 0.153316i
\(521\) 10.9061 9.81991i 0.477806 0.430218i −0.394709 0.918806i \(-0.629155\pi\)
0.872515 + 0.488588i \(0.162488\pi\)
\(522\) 2.23972 10.5371i 0.0980300 0.461195i
\(523\) 10.8522 12.0526i 0.474533 0.527022i −0.457590 0.889163i \(-0.651287\pi\)
0.932123 + 0.362141i \(0.117954\pi\)
\(524\) −62.6054 −2.73493
\(525\) 15.6831 8.54654i 0.684468 0.373002i
\(526\) −41.3992 + 56.9811i −1.80509 + 2.48450i
\(527\) −6.47117 + 14.5345i −0.281889 + 0.633132i
\(528\) −2.31871 2.57519i −0.100909 0.112071i
\(529\) 3.94704 + 4.38363i 0.171611 + 0.190593i
\(530\) 37.9389 21.9040i 1.64796 0.951451i
\(531\) 2.60131 1.88996i 0.112887 0.0820175i
\(532\) 24.8651 + 8.76212i 1.07804 + 0.379886i
\(533\) 0.675113 + 2.26466i 0.0292424 + 0.0980931i
\(534\) −1.29827 2.24867i −0.0561817 0.0973096i
\(535\) −5.29012 50.3321i −0.228712 2.17605i
\(536\) −16.9641 9.79423i −0.732738 0.423046i
\(537\) 10.1206 2.15121i 0.436738 0.0928315i
\(538\) 17.3613 53.4326i 0.748500 2.30365i
\(539\) 15.0518 + 9.70900i 0.648329 + 0.418196i
\(540\) 35.3513 48.6569i 1.52128 2.09386i
\(541\) 6.62476 7.35754i 0.284821 0.316325i −0.583709 0.811963i \(-0.698399\pi\)
0.868529 + 0.495638i \(0.165066\pi\)
\(542\) −17.8946 + 30.9943i −0.768637 + 1.33132i
\(543\) −9.66543 2.05445i −0.414783 0.0881649i
\(544\) −14.0823 12.6797i −0.603772 0.543639i
\(545\) −19.3623 6.29121i −0.829392 0.269486i
\(546\) −0.950175 3.18969i −0.0406638 0.136506i
\(547\) 7.56447i 0.323433i −0.986837 0.161717i \(-0.948297\pi\)
0.986837 0.161717i \(-0.0517031\pi\)
\(548\) −12.0680 56.7755i −0.515520 2.42533i
\(549\) 11.2939 5.02835i 0.482010 0.214605i
\(550\) 5.72597 26.9386i 0.244156 1.14867i
\(551\) −14.2068 6.32526i −0.605229 0.269465i
\(552\) −15.4485 + 21.2630i −0.657532 + 0.905015i
\(553\) −17.2807 + 36.3739i −0.734851 + 1.54677i
\(554\) −34.1797 24.8330i −1.45215 1.05505i
\(555\) 1.24729 + 0.131096i 0.0529447 + 0.00556471i
\(556\) 2.96248 + 28.1861i 0.125637 + 1.19536i
\(557\) 7.43070 34.9587i 0.314849 1.48125i −0.481519 0.876436i \(-0.659915\pi\)
0.796368 0.604813i \(-0.206752\pi\)
\(558\) −0.798752 + 7.59961i −0.0338138 + 0.321717i
\(559\) 0.338608 + 0.110020i 0.0143216 + 0.00465336i
\(560\) 4.94434 + 5.77106i 0.208937 + 0.243872i
\(561\) −9.20224 12.6658i −0.388519 0.534751i
\(562\) −8.31732 39.1299i −0.350845 1.65060i
\(563\) 1.80435 8.48879i 0.0760442 0.357760i −0.923630 0.383285i \(-0.874793\pi\)
0.999674 + 0.0255256i \(0.00812594\pi\)
\(564\) 51.0942 + 10.8604i 2.15145 + 0.457306i
\(565\) 27.5682 + 47.7495i 1.15980 + 2.00884i
\(566\) 9.54506 + 29.3767i 0.401209 + 1.23479i
\(567\) −1.20008 14.9539i −0.0503985 0.628006i
\(568\) 30.6474 + 42.1826i 1.28594 + 1.76994i
\(569\) 22.8569 4.85839i 0.958212 0.203674i 0.297842 0.954615i \(-0.403733\pi\)
0.660369 + 0.750941i \(0.270400\pi\)
\(570\) −20.5213 22.7912i −0.859541 0.954617i
\(571\) 12.9761 + 7.49173i 0.543031 + 0.313519i 0.746306 0.665602i \(-0.231825\pi\)
−0.203275 + 0.979122i \(0.565159\pi\)
\(572\) −2.96286 1.31915i −0.123883 0.0551565i
\(573\) 35.5118 1.48353
\(574\) −39.0265 6.04998i −1.62893 0.252521i
\(575\) −24.8199 −1.03506
\(576\) −9.77352 4.35145i −0.407230 0.181311i
\(577\) 6.23396 + 3.59918i 0.259523 + 0.149836i 0.624117 0.781331i \(-0.285459\pi\)
−0.364594 + 0.931167i \(0.618792\pi\)
\(578\) 0.796694 + 0.884818i 0.0331381 + 0.0368036i
\(579\) −5.94689 + 1.26405i −0.247144 + 0.0525322i
\(580\) −33.5539 46.1829i −1.39325 1.91764i
\(581\) −4.06561 + 2.80344i −0.168670 + 0.116306i
\(582\) 13.2806 + 40.8734i 0.550498 + 1.69426i
\(583\) −7.75289 13.4284i −0.321092 0.556148i
\(584\) −3.31699 0.705047i −0.137258 0.0291751i
\(585\) 0.205155 0.965178i 0.00848211 0.0399052i
\(586\) 13.4525 + 63.2893i 0.555720 + 2.61446i
\(587\) −12.4260 17.1029i −0.512875 0.705912i 0.471526 0.881852i \(-0.343703\pi\)
−0.984401 + 0.175940i \(0.943703\pi\)
\(588\) 34.7348 + 5.39183i 1.43244 + 0.222355i
\(589\) 10.4914 + 3.40886i 0.432290 + 0.140460i
\(590\) 2.81825 26.8139i 0.116026 1.10391i
\(591\) 5.34144 25.1295i 0.219717 1.03369i
\(592\) 0.0267790 + 0.254785i 0.00110061 + 0.0104716i
\(593\) 15.1498 + 1.59231i 0.622128 + 0.0653883i 0.410348 0.911929i \(-0.365407\pi\)
0.211780 + 0.977317i \(0.432074\pi\)
\(594\) −27.2512 19.7991i −1.11813 0.812368i
\(595\) 19.4904 + 28.2654i 0.799029 + 1.15877i
\(596\) −28.3226 + 38.9827i −1.16014 + 1.59679i
\(597\) −19.0642 8.48791i −0.780244 0.347387i
\(598\) −0.961594 + 4.52394i −0.0393225 + 0.184998i
\(599\) 35.3532 15.7402i 1.44449 0.643129i 0.473185 0.880963i \(-0.343104\pi\)
0.971306 + 0.237834i \(0.0764376\pi\)
\(600\) −4.69319 22.0797i −0.191599 0.901400i
\(601\) 42.2072i 1.72167i 0.508887 + 0.860833i \(0.330057\pi\)
−0.508887 + 0.860833i \(0.669943\pi\)
\(602\) −4.08905 + 4.32228i −0.166657 + 0.176163i
\(603\) −4.80343 1.56073i −0.195611 0.0635578i
\(604\) −47.1044 42.4130i −1.91665 1.72576i
\(605\) 13.5063 + 2.87086i 0.549111 + 0.116717i
\(606\) −1.52115 + 2.63470i −0.0617924 + 0.107027i
\(607\) 25.0483 27.8189i 1.01668 1.12914i 0.0250921 0.999685i \(-0.492012\pi\)
0.991586 0.129450i \(-0.0413213\pi\)
\(608\) −7.72281 + 10.6295i −0.313201 + 0.431084i
\(609\) −20.1690 4.80930i −0.817289 0.194883i
\(610\) 32.0335 98.5891i 1.29700 3.99176i
\(611\) 3.75520 0.798192i 0.151919 0.0322914i
\(612\) 10.7304 + 6.19521i 0.433751 + 0.250426i
\(613\) 2.13094 + 20.2745i 0.0860678 + 0.818880i 0.949363 + 0.314181i \(0.101730\pi\)
−0.863295 + 0.504699i \(0.831603\pi\)
\(614\) 35.8709 + 62.1303i 1.44763 + 2.50737i
\(615\) 23.0646 + 17.6344i 0.930055 + 0.711086i
\(616\) 17.1908 14.7282i 0.692639 0.593417i
\(617\) 14.4171 10.4746i 0.580409 0.421692i −0.258463 0.966021i \(-0.583216\pi\)
0.838871 + 0.544330i \(0.183216\pi\)
\(618\) −48.1135 + 27.7783i −1.93541 + 1.11741i
\(619\) 1.46242 + 1.62418i 0.0587797 + 0.0652815i 0.771818 0.635844i \(-0.219348\pi\)
−0.713038 + 0.701126i \(0.752681\pi\)
\(620\) 27.0955 + 30.0926i 1.08818 + 1.20855i
\(621\) −12.3473 + 27.7324i −0.495479 + 1.11286i
\(622\) −31.8442 + 43.8298i −1.27684 + 1.75741i
\(623\) 1.76977 0.964438i 0.0709042 0.0386394i
\(624\) −0.499804 −0.0200082
\(625\) −17.9115 + 19.8927i −0.716459 + 0.795708i
\(626\) −0.109509 + 0.515200i −0.00437686 + 0.0205915i
\(627\) −8.06689 + 7.26346i −0.322161 + 0.290075i
\(628\) −4.85367 + 10.9015i −0.193683 + 0.435018i
\(629\) 1.15744i 0.0461502i
\(630\) 13.0981 + 10.0185i 0.521841 + 0.399147i
\(631\) 25.4219 + 18.4701i 1.01203 + 0.735284i 0.964634 0.263592i \(-0.0849073\pi\)
0.0473972 + 0.998876i \(0.484907\pi\)
\(632\) 37.8222 + 34.0553i 1.50449 + 1.35465i
\(633\) 1.71385 + 16.3062i 0.0681194 + 0.648112i
\(634\) −21.7859 48.9318i −0.865227 1.94333i
\(635\) 0.890469 8.47225i 0.0353372 0.336211i
\(636\) −24.6181 17.8861i −0.976169 0.709229i
\(637\) 2.49333 0.676323i 0.0987892 0.0267969i
\(638\) −25.8656 + 18.7925i −1.02403 + 0.744001i
\(639\) 9.99065 + 8.99563i 0.395224 + 0.355861i
\(640\) −56.2941 + 25.0637i −2.22522 + 0.990732i
\(641\) 5.89557 5.30839i 0.232861 0.209669i −0.544437 0.838802i \(-0.683257\pi\)
0.777298 + 0.629133i \(0.216590\pi\)
\(642\) −48.1731 + 27.8128i −1.90124 + 1.09768i
\(643\) 22.1205 + 30.4463i 0.872348 + 1.20068i 0.978482 + 0.206332i \(0.0661527\pi\)
−0.106134 + 0.994352i \(0.533847\pi\)
\(644\) −38.7986 29.6764i −1.52888 1.16941i
\(645\) 4.16013 1.35171i 0.163805 0.0532235i
\(646\) 18.9386 21.0335i 0.745130 0.827551i
\(647\) −4.24184 + 7.34708i −0.166764 + 0.288844i −0.937280 0.348577i \(-0.886665\pi\)
0.770516 + 0.637420i \(0.219998\pi\)
\(648\) −18.5458 3.94203i −0.728547 0.154857i
\(649\) −9.49071 0.997514i −0.372543 0.0391558i
\(650\) −2.33482 3.21360i −0.0915790 0.126048i
\(651\) 14.5851 + 1.89732i 0.571636 + 0.0743619i
\(652\) −9.02945 + 27.7898i −0.353621 + 1.08833i
\(653\) −23.4722 + 13.5517i −0.918538 + 0.530318i −0.883168 0.469056i \(-0.844594\pi\)
−0.0353698 + 0.999374i \(0.511261\pi\)
\(654\) 2.33900 + 22.2541i 0.0914620 + 0.870202i
\(655\) −28.2653 + 48.9569i −1.10442 + 1.91290i
\(656\) −2.54390 + 5.35739i −0.0993227 + 0.209171i
\(657\) −0.874348 −0.0341116
\(658\) −14.8814 + 62.4089i −0.580138 + 2.43295i
\(659\) 20.2768i 0.789874i −0.918708 0.394937i \(-0.870767\pi\)
0.918708 0.394937i \(-0.129233\pi\)
\(660\) −38.9759 + 8.28458i −1.51713 + 0.322477i
\(661\) −12.8252 14.2439i −0.498843 0.554022i 0.440165 0.897917i \(-0.354920\pi\)
−0.939008 + 0.343895i \(0.888253\pi\)
\(662\) −26.4202 + 2.77687i −1.02685 + 0.107926i
\(663\) −2.24571 0.236033i −0.0872160 0.00916677i
\(664\) 1.92870 + 5.93594i 0.0748482 + 0.230359i
\(665\) 18.0781 15.4884i 0.701038 0.600613i
\(666\) 0.171786 + 0.528704i 0.00665659 + 0.0204869i
\(667\) 21.4126 + 19.2799i 0.829097 + 0.746523i
\(668\) 15.4421 13.9041i 0.597472 0.537966i
\(669\) −30.6752 + 3.22410i −1.18597 + 0.124651i
\(670\) −36.6763 + 21.1751i −1.41693 + 0.818065i
\(671\) −34.8954 11.3382i −1.34712 0.437707i
\(672\) −7.51732 + 15.8231i −0.289987 + 0.610388i
\(673\) −40.4605 + 13.1464i −1.55964 + 0.506757i −0.956711 0.291040i \(-0.905999\pi\)
−0.602927 + 0.797797i \(0.705999\pi\)
\(674\) −31.4218 13.9899i −1.21032 0.538871i
\(675\) −10.6045 23.8182i −0.408169 0.916762i
\(676\) 40.3597 17.9693i 1.55230 0.691127i
\(677\) −1.03229 + 9.82160i −0.0396742 + 0.377475i 0.956612 + 0.291366i \(0.0941098\pi\)
−0.996286 + 0.0861084i \(0.972557\pi\)
\(678\) 35.6205 49.0274i 1.36800 1.88289i
\(679\) −31.9712 + 9.52388i −1.22694 + 0.365493i
\(680\) 41.2685 13.4090i 1.58257 0.514210i
\(681\) −2.59687 + 24.7076i −0.0995124 + 0.946797i
\(682\) 16.8539 15.1753i 0.645369 0.581093i
\(683\) 35.2687 + 20.3624i 1.34952 + 0.779146i 0.988181 0.153289i \(-0.0489865\pi\)
0.361339 + 0.932435i \(0.382320\pi\)
\(684\) 3.49427 7.84827i 0.133607 0.300086i
\(685\) −49.8464 16.1961i −1.90453 0.618821i
\(686\) −7.67161 + 42.4869i −0.292903 + 1.62216i
\(687\) 5.71337 + 17.5839i 0.217979 + 0.670869i
\(688\) 0.446761 + 0.773813i 0.0170326 + 0.0295014i
\(689\) −2.18757 0.464982i −0.0833397 0.0177144i
\(690\) 23.1119 + 51.9102i 0.879856 + 1.97619i
\(691\) 4.77454 10.7238i 0.181632 0.407952i −0.799666 0.600445i \(-0.794990\pi\)
0.981299 + 0.192492i \(0.0616570\pi\)
\(692\) −6.14818 + 18.9221i −0.233719 + 0.719312i
\(693\) 3.54603 4.63604i 0.134703 0.176109i
\(694\) 36.5078i 1.38582i
\(695\) 23.3788 + 10.4089i 0.886809 + 0.394833i
\(696\) −13.1025 + 22.6942i −0.496648 + 0.860220i
\(697\) −13.9602 + 22.8703i −0.528782 + 0.866276i
\(698\) −11.0413 19.1241i −0.417920 0.723859i
\(699\) −11.6417 + 8.45818i −0.440329 + 0.319918i
\(700\) 41.2382 7.70877i 1.55866 0.291364i
\(701\) 14.6162 44.9841i 0.552047 1.69903i −0.151569 0.988447i \(-0.548433\pi\)
0.703616 0.710580i \(-0.251567\pi\)
\(702\) −4.75221 + 1.01011i −0.179360 + 0.0381242i
\(703\) 0.798125 0.0838863i 0.0301018 0.00316383i
\(704\) 12.9147 + 29.0069i 0.486741 + 1.09324i
\(705\) 31.5609 35.0520i 1.18865 1.32013i
\(706\) −36.7202 −1.38198
\(707\) −2.01540 1.23077i −0.0757970 0.0462880i
\(708\) −17.8112 + 5.78721i −0.669386 + 0.217497i
\(709\) −8.66442 40.7629i −0.325399 1.53088i −0.771692 0.635996i \(-0.780589\pi\)
0.446293 0.894887i \(-0.352744\pi\)
\(710\) 112.110 11.7833i 4.20742 0.442218i
\(711\) 11.3645 + 6.56128i 0.426201 + 0.246067i
\(712\) −0.529604 2.49159i −0.0198478 0.0933764i
\(713\) −16.5354 12.0137i −0.619255 0.449915i
\(714\) 19.6678 32.2062i 0.736050 1.20529i
\(715\) −2.36925 + 1.72136i −0.0886048 + 0.0643751i
\(716\) 24.1701 + 2.54038i 0.903279 + 0.0949385i
\(717\) 1.37065 0.610253i 0.0511879 0.0227903i
\(718\) −19.8887 + 8.85501i −0.742239 + 0.330466i
\(719\) 5.15429 + 0.541738i 0.192223 + 0.0202034i 0.200150 0.979765i \(-0.435857\pi\)
−0.00792795 + 0.999969i \(0.502524\pi\)
\(720\) 2.00344 1.45558i 0.0746637 0.0542464i
\(721\) −20.6355 37.8666i −0.768505 1.41023i
\(722\) 19.9568 + 14.4995i 0.742717 + 0.539615i
\(723\) 4.06053 + 19.1033i 0.151013 + 0.710458i
\(724\) −20.1006 11.6051i −0.747031 0.431299i
\(725\) −24.6111 + 2.58673i −0.914032 + 0.0960686i
\(726\) −3.15541 14.8450i −0.117108 0.550951i
\(727\) −2.20372 + 0.716032i −0.0817314 + 0.0265561i −0.349597 0.936900i \(-0.613682\pi\)
0.267866 + 0.963456i \(0.413682\pi\)
\(728\) 0.0804416 3.26404i 0.00298136 0.120973i
\(729\) −29.6587 −1.09847
\(730\) −4.90575 + 5.44838i −0.181570 + 0.201654i
\(731\) 1.64194 + 3.68786i 0.0607294 + 0.136401i
\(732\) −71.6108 + 7.52660i −2.64681 + 0.278191i
\(733\) 47.1400 10.0199i 1.74115 0.370094i 0.775788 0.630993i \(-0.217353\pi\)
0.965366 + 0.260900i \(0.0840192\pi\)
\(734\) 1.49076 4.58809i 0.0550250 0.169349i
\(735\) 19.8985 24.7280i 0.733968 0.912105i
\(736\) 19.6945 14.3089i 0.725947 0.527431i
\(737\) 7.49488 + 12.9815i 0.276077 + 0.478180i
\(738\) −2.98246 + 12.5188i −0.109786 + 0.460825i
\(739\) −4.24249 + 7.34821i −0.156062 + 0.270308i −0.933445 0.358720i \(-0.883213\pi\)
0.777383 + 0.629028i \(0.216547\pi\)
\(740\) 2.69120 + 1.19820i 0.0989303 + 0.0440466i
\(741\) 1.56565i 0.0575158i
\(742\) 22.7069 29.6867i 0.833596 1.08983i
\(743\) −5.43797 + 16.7364i −0.199500 + 0.613998i 0.800395 + 0.599474i \(0.204623\pi\)
−0.999895 + 0.0145242i \(0.995377\pi\)
\(744\) 7.56064 16.9815i 0.277187 0.622571i
\(745\) 17.6970 + 39.7481i 0.648367 + 1.45626i
\(746\) −7.94966 1.68975i −0.291058 0.0618663i
\(747\) 0.804634 + 1.39367i 0.0294400 + 0.0509916i
\(748\) −11.3637 34.9737i −0.415496 1.27877i
\(749\) −20.6610 37.9136i −0.754938 1.38533i
\(750\) 3.85015 + 1.25099i 0.140588 + 0.0456797i
\(751\) −0.738721 + 1.65919i −0.0269563 + 0.0605448i −0.926522 0.376241i \(-0.877217\pi\)
0.899566 + 0.436786i \(0.143883\pi\)
\(752\) 8.34400 + 4.81741i 0.304274 + 0.175673i
\(753\) 20.7645 18.6964i 0.756699 0.681335i
\(754\) −0.482018 + 4.58609i −0.0175540 + 0.167016i
\(755\) −54.4334 + 17.6865i −1.98103 + 0.643677i
\(756\) 11.9016 49.9122i 0.432857 1.81529i
\(757\) 26.7192 36.7758i 0.971125 1.33664i 0.0296491 0.999560i \(-0.490561\pi\)
0.941476 0.337079i \(-0.109439\pi\)
\(758\) 2.75198 26.1833i 0.0999564 0.951022i
\(759\) 18.3735 8.18042i 0.666917 0.296930i
\(760\) −12.2372 27.4853i −0.443891 0.996996i
\(761\) −21.6495 9.63897i −0.784793 0.349413i −0.0250924 0.999685i \(-0.507988\pi\)
−0.759701 + 0.650273i \(0.774655\pi\)
\(762\) −8.90500 + 2.89341i −0.322594 + 0.104817i
\(763\) −17.3136 + 1.38944i −0.626793 + 0.0503011i
\(764\) 79.3304 + 25.7760i 2.87007 + 0.932543i
\(765\) 9.68920 5.59406i 0.350314 0.202254i
\(766\) −31.5424 + 3.31524i −1.13967 + 0.119784i
\(767\) −1.02287 + 0.920998i −0.0369338 + 0.0332553i
\(768\) 23.3659 + 21.0388i 0.843145 + 0.759171i
\(769\) 1.33458 + 4.10740i 0.0481260 + 0.148117i 0.972232 0.234020i \(-0.0751882\pi\)
−0.924106 + 0.382137i \(0.875188\pi\)
\(770\) −8.99301 48.1083i −0.324086 1.73370i
\(771\) 2.25889 + 6.95214i 0.0813518 + 0.250375i
\(772\) −14.2024 1.49273i −0.511154 0.0537245i
\(773\) −4.22006 + 0.443546i −0.151785 + 0.0159533i −0.180116 0.983645i \(-0.557647\pi\)
0.0283311 + 0.999599i \(0.490981\pi\)
\(774\) 1.29737 + 1.44087i 0.0466329 + 0.0517911i
\(775\) 17.1705 3.64970i 0.616782 0.131101i
\(776\) 42.1611i 1.51349i
\(777\) 1.02547 0.305476i 0.0367884 0.0109589i
\(778\) −53.9335 −1.93361
\(779\) 16.7822 + 7.96888i 0.601286 + 0.285515i
\(780\) −2.87359 + 4.97720i −0.102891 + 0.178213i
\(781\) −4.17066 39.6812i −0.149238 1.41990i
\(782\) −45.4148 + 26.2203i −1.62403 + 0.937635i
\(783\) −9.35310 + 28.7859i −0.334252 + 1.02872i
\(784\) 5.78590 + 2.92565i 0.206639 + 0.104488i
\(785\) 6.33355 + 8.71739i 0.226054 + 0.311137i
\(786\) 61.7932 + 6.49473i 2.20409 + 0.231659i
\(787\) −8.30626 1.76555i −0.296086 0.0629351i 0.0574734 0.998347i \(-0.481696\pi\)
−0.353560 + 0.935412i \(0.615029\pi\)
\(788\) 30.1724 52.2601i 1.07485 1.86169i
\(789\) 29.5595 32.8292i 1.05235 1.16875i
\(790\) 104.649 34.0025i 3.72324 1.20976i
\(791\) 37.3634 + 28.5786i 1.32849 + 1.01614i
\(792\) −4.33589 5.96784i −0.154069 0.212058i
\(793\) −4.58307 + 2.64603i −0.162749 + 0.0939634i
\(794\) −19.9925 + 18.0013i −0.709508 + 0.638844i
\(795\) −25.1014 + 11.1759i −0.890254 + 0.396367i
\(796\) −36.4268 32.7989i −1.29111 1.16252i
\(797\) −0.911243 + 0.662057i −0.0322779 + 0.0234513i −0.603807 0.797130i \(-0.706350\pi\)
0.571529 + 0.820582i \(0.306350\pi\)
\(798\) −23.6335 11.2280i −0.836618 0.397466i
\(799\) 35.2160 + 25.5860i 1.24585 + 0.905166i
\(800\) −2.18546 + 20.7932i −0.0772675 + 0.735151i
\(801\) −0.267135 0.599995i −0.00943875 0.0211998i
\(802\) −2.66269 25.3338i −0.0940229 0.894568i
\(803\) 1.92844 + 1.73638i 0.0680533 + 0.0612755i
\(804\) 23.7988 + 17.2908i 0.839318 + 0.609800i
\(805\) −40.7236 + 16.9418i −1.43532 + 0.597120i
\(806\) 3.27107i 0.115219i
\(807\) −14.3327 + 32.1917i −0.504533 + 1.13320i
\(808\) −2.21795 + 1.99705i −0.0780271 + 0.0702559i
\(809\) −8.77717 + 41.2933i −0.308589 + 1.45180i 0.501331 + 0.865256i \(0.332844\pi\)
−0.809920 + 0.586541i \(0.800489\pi\)
\(810\) −27.4288 + 30.4627i −0.963749 + 1.07035i
\(811\) 52.4333 1.84118 0.920591 0.390528i \(-0.127707\pi\)
0.920591 + 0.390528i \(0.127707\pi\)
\(812\) −41.5650 25.3831i −1.45865 0.890772i
\(813\) 13.1942 18.1602i 0.462741 0.636908i
\(814\) 0.671073 1.50725i 0.0235211 0.0528292i
\(815\) 17.6547 + 19.6076i 0.618418 + 0.686823i
\(816\) −3.79197 4.21141i −0.132745 0.147429i
\(817\) 2.42400 1.39950i 0.0848051 0.0489622i
\(818\) −23.7139 + 17.2291i −0.829135 + 0.602402i
\(819\) −0.154689 0.827511i −0.00540526 0.0289156i
\(820\) 38.7246 + 56.1350i 1.35232 + 1.96032i
\(821\) −7.48072 12.9570i −0.261079 0.452202i 0.705450 0.708760i \(-0.250745\pi\)
−0.966529 + 0.256558i \(0.917412\pi\)
\(822\) 6.02151 + 57.2909i 0.210024 + 1.99825i
\(823\) 19.4241 + 11.2145i 0.677080 + 0.390912i 0.798754 0.601658i \(-0.205493\pi\)
−0.121674 + 0.992570i \(0.538826\pi\)
\(824\) −53.3110 + 11.3316i −1.85718 + 0.394755i
\(825\) −5.33784 + 16.4282i −0.185840 + 0.571956i
\(826\) −6.56701 22.0451i −0.228495 0.767047i
\(827\) 16.2237 22.3300i 0.564153 0.776490i −0.427694 0.903924i \(-0.640674\pi\)
0.991847 + 0.127433i \(0.0406739\pi\)
\(828\) −10.6508 + 11.8290i −0.370143 + 0.411085i
\(829\) −1.78638 + 3.09409i −0.0620434 + 0.107462i −0.895379 0.445306i \(-0.853095\pi\)
0.833335 + 0.552768i \(0.186428\pi\)
\(830\) 13.1991 + 2.80554i 0.458146 + 0.0973819i
\(831\) 19.6923 + 17.7310i 0.683119 + 0.615083i
\(832\) 4.35552 + 1.41520i 0.151001 + 0.0490631i
\(833\) 24.6154 + 15.8779i 0.852874 + 0.550136i
\(834\) 28.1278i 0.973986i
\(835\) −3.90106 18.3530i −0.135002 0.635133i
\(836\) −23.2929 + 10.3707i −0.805601 + 0.358677i
\(837\) 4.46389 21.0010i 0.154295 0.725900i
\(838\) −22.1933 9.88108i −0.766654 0.341336i
\(839\) −1.46274 + 2.01329i −0.0504993 + 0.0695064i −0.833520 0.552489i \(-0.813678\pi\)
0.783021 + 0.621996i \(0.213678\pi\)
\(840\) −22.7718 33.0241i −0.785701 1.13944i
\(841\) −0.219771 0.159673i −0.00757831 0.00550597i
\(842\) 71.1862 + 7.48197i 2.45324 + 0.257846i
\(843\) 2.62272 + 24.9535i 0.0903314 + 0.859445i
\(844\) −8.00714 + 37.6706i −0.275617 + 1.29668i
\(845\) 4.16988 39.6738i 0.143448 1.36482i
\(846\) 19.8837 + 6.46060i 0.683615 + 0.222120i
\(847\) 11.5799 2.16466i 0.397889 0.0743785i
\(848\) −3.29907 4.54078i −0.113290 0.155931i
\(849\) −4.02799 18.9502i −0.138240 0.650369i
\(850\) 9.36412 44.0547i 0.321187 1.51106i
\(851\) −1.45442 0.309147i −0.0498570 0.0105974i
\(852\) −39.1510 67.8114i −1.34129 2.32318i
\(853\) 9.14279 + 28.1386i 0.313043 + 0.963447i 0.976552 + 0.215279i \(0.0690662\pi\)
−0.663509 + 0.748168i \(0.730934\pi\)
\(854\) −7.07475 88.1572i −0.242093 3.01668i
\(855\) −4.55967 6.27585i −0.155937 0.214630i
\(856\) −53.3771 + 11.3457i −1.82439 + 0.387787i
\(857\) −32.3948 35.9780i −1.10658 1.22899i −0.971218 0.238191i \(-0.923446\pi\)
−0.135366 0.990796i \(-0.543221\pi\)
\(858\) 2.78757 + 1.60941i 0.0951662 + 0.0549442i
\(859\) −10.0233 4.46265i −0.341990 0.152264i 0.228553 0.973531i \(-0.426601\pi\)
−0.570543 + 0.821268i \(0.693267\pi\)
\(860\) 10.2745 0.350358
\(861\) 23.9471 + 6.33245i 0.816114 + 0.215809i
\(862\) 55.4764 1.88953
\(863\) 46.0009 + 20.4809i 1.56589 + 0.697179i 0.992516 0.122115i \(-0.0389677\pi\)
0.573374 + 0.819294i \(0.305634\pi\)
\(864\) 22.1460 + 12.7860i 0.753422 + 0.434988i
\(865\) 12.0212 + 13.3508i 0.408732 + 0.453942i
\(866\) 56.0316 11.9099i 1.90403 0.404715i
\(867\) −0.438947 0.604159i −0.0149074 0.0205183i
\(868\) 31.2048 + 14.8250i 1.05916 + 0.503192i
\(869\) −12.0351 37.0403i −0.408264 1.25651i
\(870\) 28.3275 + 49.0647i 0.960393 + 1.66345i
\(871\) 2.11477 + 0.449508i 0.0716561 + 0.0152310i
\(872\) −4.56405 + 21.4722i −0.154558 + 0.727139i
\(873\) 2.26014 + 10.6331i 0.0764941 + 0.359877i
\(874\) 21.3719 + 29.4159i 0.722916 + 0.995008i
\(875\) −1.04438 + 2.96374i −0.0353065 + 0.100193i
\(876\) 4.84331 + 1.57369i 0.163640 + 0.0531700i
\(877\) 3.32839 31.6675i 0.112392 1.06934i −0.782377 0.622805i \(-0.785993\pi\)
0.894769 0.446530i \(-0.147340\pi\)
\(878\) 8.09704 38.0936i 0.273262 1.28560i
\(879\) −4.24203 40.3602i −0.143080 1.36132i
\(880\) −7.30941 0.768250i −0.246400 0.0258977i
\(881\) 6.11630 + 4.44375i 0.206063 + 0.149714i 0.686031 0.727572i \(-0.259351\pi\)
−0.479967 + 0.877286i \(0.659351\pi\)
\(882\) 13.6006 + 3.59941i 0.457956 + 0.121198i
\(883\) 3.03671 4.17967i 0.102193 0.140657i −0.754858 0.655889i \(-0.772294\pi\)
0.857051 + 0.515232i \(0.172294\pi\)
\(884\) −4.84539 2.15731i −0.162968 0.0725581i
\(885\) −3.51590 + 16.5410i −0.118186 + 0.556021i
\(886\) 6.72697 2.99504i 0.225997 0.100620i
\(887\) 8.09587 + 38.0881i 0.271833 + 1.27887i 0.876115 + 0.482102i \(0.160127\pi\)
−0.604282 + 0.796770i \(0.706540\pi\)
\(888\) 1.35231i 0.0453804i
\(889\) −2.07495 6.96549i −0.0695915 0.233615i
\(890\) −5.23762 1.70181i −0.175565 0.0570447i
\(891\) 10.7822 + 9.70836i 0.361218 + 0.325242i
\(892\) −70.8661 15.0631i −2.37277 0.504348i
\(893\) 15.0907 26.1379i 0.504992 0.874672i
\(894\) 31.9993 35.5388i 1.07022 1.18859i
\(895\) 12.8989 17.7539i 0.431164 0.593447i
\(896\) −36.1300 + 38.1907i −1.20702 + 1.27586i
\(897\) 0.896413 2.75888i 0.0299304 0.0921162i
\(898\) −19.2591 + 4.09365i −0.642684 + 0.136607i
\(899\) −17.6483 10.1893i −0.588604 0.339831i
\(900\) −1.42899 13.5959i −0.0476330 0.453197i
\(901\) −12.6789 21.9605i −0.422395 0.731610i
\(902\) 31.4394 21.6884i 1.04682 0.722145i
\(903\) 2.83402 2.42804i 0.0943103 0.0808001i
\(904\) 48.0967 34.9443i 1.59967 1.16223i
\(905\) −18.1501 + 10.4790i −0.603330 + 0.348333i
\(906\) 42.0933 + 46.7494i 1.39846 + 1.55314i
\(907\) 9.84156 + 10.9302i 0.326784 + 0.362930i 0.884041 0.467410i \(-0.154813\pi\)
−0.557257 + 0.830340i \(0.688146\pi\)
\(908\) −23.7350 + 53.3098i −0.787675 + 1.76915i
\(909\) −0.452315 + 0.622559i −0.0150024 + 0.0206490i
\(910\) −6.02445 3.67903i −0.199708 0.121959i
\(911\) −39.8996 −1.32193 −0.660967 0.750415i \(-0.729854\pi\)
−0.660967 + 0.750415i \(0.729854\pi\)
\(912\) −2.62919 + 2.92001i −0.0870612 + 0.0966913i
\(913\) 0.993017 4.67178i 0.0328641 0.154613i
\(914\) 49.8194 44.8576i 1.64788 1.48376i
\(915\) −26.4453 + 59.3972i −0.874256 + 1.96361i
\(916\) 43.4280i 1.43490i
\(917\) −6.22155 + 47.8265i −0.205454 + 1.57937i
\(918\) −44.5659 32.3790i −1.47089 1.06867i
\(919\) −0.973855 0.876863i −0.0321245 0.0289251i 0.652912 0.757434i \(-0.273547\pi\)
−0.685037 + 0.728509i \(0.740214\pi\)
\(920\) 5.82686 + 55.4388i 0.192106 + 1.82776i
\(921\) −18.3020 41.1070i −0.603072 1.35452i
\(922\) −2.77981 + 26.4481i −0.0915480 + 0.871021i
\(923\) −4.65577 3.38261i −0.153246 0.111340i
\(924\) −27.9868 + 19.2983i −0.920699 + 0.634869i
\(925\) 1.03315 0.750630i 0.0339699 0.0246806i
\(926\) 17.4632 + 15.7240i 0.573877 + 0.516722i
\(927\) −12.8377 + 5.71572i −0.421646 + 0.187729i
\(928\) 18.0375 16.2410i 0.592109 0.533137i
\(929\) −44.1492 + 25.4895i −1.44849 + 0.836285i −0.998392 0.0566949i \(-0.981944\pi\)
−0.450097 + 0.892980i \(0.648610\pi\)
\(930\) −23.6221 32.5131i −0.774600 1.06615i
\(931\) 9.16472 18.1246i 0.300362 0.594009i
\(932\) −32.1459 + 10.4448i −1.05297 + 0.342131i
\(933\) 22.7371 25.2521i 0.744380 0.826717i
\(934\) −31.2534 + 54.1326i −1.02264 + 1.77127i
\(935\) −32.4796 6.90376i −1.06220 0.225777i
\(936\) −1.05813 0.111214i −0.0345859 0.00363513i
\(937\) −3.36685 4.63407i −0.109990 0.151389i 0.750473 0.660901i \(-0.229826\pi\)
−0.860463 + 0.509513i \(0.829826\pi\)
\(938\) −21.9512 + 28.6988i −0.716732 + 0.937048i
\(939\) 0.102086 0.314189i 0.00333145 0.0102532i
\(940\) 95.9467 55.3948i 3.12943 1.80678i
\(941\) −2.79187 26.5628i −0.0910123 0.865924i −0.940837 0.338859i \(-0.889959\pi\)
0.849825 0.527065i \(-0.176708\pi\)
\(942\) 5.92164 10.2566i 0.192937 0.334177i
\(943\) −25.0098 23.6508i −0.814431 0.770175i
\(944\) −3.45432 −0.112429
\(945\) −33.6576 31.8415i −1.09488 1.03580i
\(946\) 5.75443i 0.187093i
\(947\) 25.9596 5.51788i 0.843573 0.179307i 0.234198 0.972189i \(-0.424754\pi\)
0.609375 + 0.792882i \(0.291420\pi\)
\(948\) −51.1424 56.7994i −1.66103 1.84476i
\(949\) 0.372230 0.0391230i 0.0120831 0.00126999i
\(950\) −31.0570 3.26423i −1.00762 0.105905i
\(951\) 10.3814 + 31.9507i 0.336641 + 1.03607i
\(952\) 28.1135 24.0862i 0.911163 0.780637i
\(953\) −16.9302 52.1059i −0.548424 1.68787i −0.712708 0.701461i \(-0.752531\pi\)
0.164284 0.986413i \(-0.447469\pi\)
\(954\) −9.05092 8.14949i −0.293034 0.263849i
\(955\) 55.9729 50.3983i 1.81124 1.63085i
\(956\) 3.50487 0.368376i 0.113356 0.0119141i
\(957\) 17.3664 10.0265i 0.561375 0.324110i
\(958\) 21.5756 + 7.01033i 0.697075 + 0.226493i
\(959\) −44.5721 + 3.57698i −1.43931 + 0.115507i
\(960\) 53.5119 17.3871i 1.72709 0.561166i
\(961\) −15.1141 6.72924i −0.487552 0.217072i
\(962\) −0.0967905 0.217395i −0.00312065 0.00700910i
\(963\) −12.8536 + 5.72281i −0.414203 + 0.184415i
\(964\) −4.79511 + 45.6224i −0.154440 + 1.46940i
\(965\) −7.57942 + 10.4322i −0.243990 + 0.335824i
\(966\) 35.2166 + 33.3164i 1.13308 + 1.07194i
\(967\) −1.05040 + 0.341296i −0.0337787 + 0.0109754i −0.325858 0.945419i \(-0.605653\pi\)
0.292079 + 0.956394i \(0.405653\pi\)
\(968\) 1.55628 14.8070i 0.0500208 0.475916i
\(969\) −13.1924 + 11.8785i −0.423801 + 0.381592i
\(970\) 78.9400 + 45.5760i 2.53461 + 1.46336i
\(971\) 2.96683 6.66361i 0.0952101 0.213845i −0.859662 0.510864i \(-0.829326\pi\)
0.954872 + 0.297018i \(0.0959923\pi\)
\(972\) −28.2546 9.18046i −0.906266 0.294464i
\(973\) 21.8268 + 0.537917i 0.699734 + 0.0172448i
\(974\) −12.2571 37.7236i −0.392744 1.20874i
\(975\) 1.24571 + 2.15763i 0.0398946 + 0.0690996i
\(976\) −12.9911 2.76134i −0.415834 0.0883883i
\(977\) 16.0829 + 36.1228i 0.514538 + 1.15567i 0.964850 + 0.262799i \(0.0846458\pi\)
−0.450313 + 0.892871i \(0.648688\pi\)
\(978\) 11.7952 26.4925i 0.377170 0.847138i
\(979\) −0.602351 + 1.85385i −0.0192512 + 0.0592491i
\(980\) 62.4003 40.7970i 1.99330 1.30321i
\(981\) 5.66000i 0.180710i
\(982\) 15.3625 + 6.83981i 0.490236 + 0.218267i
\(983\) −11.6306 + 20.1448i −0.370958 + 0.642518i −0.989713 0.143066i \(-0.954304\pi\)
0.618755 + 0.785584i \(0.287637\pi\)
\(984\) 16.3106 26.7207i 0.519962 0.851826i
\(985\) −27.2446 47.1891i −0.868087 1.50357i
\(986\) −42.3000 + 30.7328i −1.34711 + 0.978730i
\(987\) 13.3743 37.9534i 0.425707 1.20807i
\(988\) −1.13642 + 3.49754i −0.0361543 + 0.111272i
\(989\) −5.07267 + 1.07823i −0.161301 + 0.0342857i
\(990\) −15.8609 + 1.66705i −0.504094 + 0.0529824i
\(991\) −0.837461 1.88097i −0.0266028 0.0597509i 0.899755 0.436395i \(-0.143745\pi\)
−0.926358 + 0.376644i \(0.877078\pi\)
\(992\) −11.5206 + 12.7949i −0.365779 + 0.406239i
\(993\) 16.6623 0.528761
\(994\) 84.4490 46.0206i 2.67856 1.45968i
\(995\) −42.0945 + 13.6773i −1.33449 + 0.433601i
\(996\) −1.94876 9.16821i −0.0617489 0.290506i
\(997\) 45.5897 4.79167i 1.44384 0.151754i 0.650025 0.759913i \(-0.274759\pi\)
0.793815 + 0.608159i \(0.208092\pi\)
\(998\) −13.9247 8.03941i −0.440778 0.254483i
\(999\) −0.324746 1.52781i −0.0102745 0.0483377i
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 287.2.z.a.4.3 208
7.2 even 3 inner 287.2.z.a.86.24 yes 208
41.31 even 10 inner 287.2.z.a.277.24 yes 208
287.72 even 30 inner 287.2.z.a.72.3 yes 208
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
287.2.z.a.4.3 208 1.1 even 1 trivial
287.2.z.a.72.3 yes 208 287.72 even 30 inner
287.2.z.a.86.24 yes 208 7.2 even 3 inner
287.2.z.a.277.24 yes 208 41.31 even 10 inner