Properties

Label 29.2.e.a.9.1
Level $29$
Weight $2$
Character 29.9
Analytic conductor $0.232$
Analytic rank $0$
Dimension $12$
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] = [29,2,Mod(4,29)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(29, base_ring=CyclotomicField(14))
 
chi = DirichletCharacter(H, H._module([1]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("29.4");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 29 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 29.e (of order \(14\), degree \(6\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(0.231566165862\)
Analytic rank: \(0\)
Dimension: \(12\)
Relative dimension: \(2\) over \(\Q(\zeta_{14})\)
Coefficient field: 12.0.7877952219361.1
comment: defining polynomial
 
gp: f.mod \\ as an extension of the character field
 
Defining polynomial: \( x^{12} - 3x^{11} + 13x^{9} - 18x^{8} - 14x^{7} + 57x^{6} - 28x^{5} - 72x^{4} + 104x^{3} - 96x + 64 \) Copy content Toggle raw display
Coefficient ring: \(\Z[a_1, \ldots, a_{4}]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{14}]$

Embedding invariants

Embedding label 9.1
Root \(-1.25719 - 0.647667i\) of defining polynomial
Character \(\chi\) \(=\) 29.9
Dual form 29.2.e.a.13.1

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-1.12916 - 2.34472i) q^{2} +(-0.343489 + 0.273923i) q^{3} +(-2.97573 + 3.73144i) q^{4} +(2.32488 - 1.11960i) q^{5} +(1.03013 + 0.496082i) q^{6} +(0.0468435 + 0.0587399i) q^{7} +(7.03485 + 1.60566i) q^{8} +(-0.624612 + 2.73660i) q^{9} +O(q^{10})\) \(q+(-1.12916 - 2.34472i) q^{2} +(-0.343489 + 0.273923i) q^{3} +(-2.97573 + 3.73144i) q^{4} +(2.32488 - 1.11960i) q^{5} +(1.03013 + 0.496082i) q^{6} +(0.0468435 + 0.0587399i) q^{7} +(7.03485 + 1.60566i) q^{8} +(-0.624612 + 2.73660i) q^{9} +(-5.25031 - 4.18698i) q^{10} +(-3.68362 + 0.840763i) q^{11} -2.09683i q^{12} +(0.196040 + 0.858907i) q^{13} +(0.0848347 - 0.176161i) q^{14} +(-0.491885 + 1.02141i) q^{15} +(-2.05458 - 9.00172i) q^{16} -3.94108i q^{17} +(7.12185 - 1.62552i) q^{18} +(-0.557928 - 0.444933i) q^{19} +(-2.74047 + 12.0068i) q^{20} +(-0.0321804 - 0.00734497i) q^{21} +(6.13074 + 7.68771i) q^{22} +(-1.06102 - 0.510959i) q^{23} +(-2.85622 + 1.37548i) q^{24} +(1.03411 - 1.29673i) q^{25} +(1.79253 - 1.42950i) q^{26} +(-1.10694 - 2.29858i) q^{27} -0.358578 q^{28} +(-0.719302 - 5.33691i) q^{29} +2.95033 q^{30} +(2.23488 + 4.64077i) q^{31} +(-7.50351 + 5.98385i) q^{32} +(1.03498 - 1.29782i) q^{33} +(-9.24073 + 4.45010i) q^{34} +(0.174671 + 0.0841171i) q^{35} +(-8.35281 - 10.4741i) q^{36} +(3.01010 + 0.687035i) q^{37} +(-0.413254 + 1.81058i) q^{38} +(-0.302612 - 0.241325i) q^{39} +(18.1529 - 4.14328i) q^{40} +6.67122i q^{41} +(0.0191148 + 0.0837476i) q^{42} +(3.60715 - 7.49033i) q^{43} +(7.82420 - 16.2471i) q^{44} +(1.61176 + 7.06160i) q^{45} +3.06474i q^{46} +(-10.3265 + 2.35695i) q^{47} +(3.17151 + 2.52919i) q^{48} +(1.55639 - 6.81899i) q^{49} +(-4.20815 - 0.960482i) q^{50} +(1.07955 + 1.35372i) q^{51} +(-3.78832 - 1.82436i) q^{52} +(-5.00585 + 2.41069i) q^{53} +(-4.13962 + 5.19091i) q^{54} +(-7.62267 + 6.07887i) q^{55} +(0.235221 + 0.488441i) q^{56} +0.313519 q^{57} +(-11.7013 + 7.71277i) q^{58} +9.91885 q^{59} +(-2.34762 - 4.87488i) q^{60} +(2.78906 - 2.22420i) q^{61} +(8.35778 - 10.4803i) q^{62} +(-0.190007 + 0.0915024i) q^{63} +(5.86540 + 2.82463i) q^{64} +(1.41740 + 1.77737i) q^{65} +(-4.21168 - 0.961289i) q^{66} +(1.09916 - 4.81572i) q^{67} +(14.7059 + 11.7276i) q^{68} +(0.504411 - 0.115129i) q^{69} -0.504535i q^{70} +(1.09187 + 4.78379i) q^{71} +(-8.78811 + 18.2487i) q^{72} +(-3.86250 + 8.02056i) q^{73} +(-1.78797 - 7.83360i) q^{74} +0.728681i q^{75} +(3.32048 - 0.757878i) q^{76} +(-0.221940 - 0.176991i) q^{77} +(-0.224143 + 0.982034i) q^{78} +(12.8588 + 2.93495i) q^{79} +(-14.8550 - 18.6276i) q^{80} +(-6.57715 - 3.16739i) q^{81} +(15.6421 - 7.53285i) q^{82} +(10.5908 - 13.2805i) q^{83} +(0.123167 - 0.0982228i) q^{84} +(-4.41245 - 9.16255i) q^{85} -21.6357 q^{86} +(1.70898 + 1.63614i) q^{87} -27.2637 q^{88} +(2.94891 + 6.12348i) q^{89} +(14.7375 - 11.7528i) q^{90} +(-0.0412689 + 0.0517495i) q^{91} +(5.06391 - 2.43865i) q^{92} +(-2.03887 - 0.981869i) q^{93} +(17.1866 + 21.5513i) q^{94} +(-1.79526 - 0.409757i) q^{95} +(0.938257 - 4.11077i) q^{96} +(-8.92624 - 7.11844i) q^{97} +(-17.7460 + 4.05041i) q^{98} -10.6058i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 12 q - 7 q^{2} - 7 q^{3} - q^{4} - q^{5} - 3 q^{6} - 11 q^{7} + 14 q^{8} - 3 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 12 q - 7 q^{2} - 7 q^{3} - q^{4} - q^{5} - 3 q^{6} - 11 q^{7} + 14 q^{8} - 3 q^{9} - 7 q^{10} + 7 q^{11} + 9 q^{13} - 7 q^{14} + 7 q^{15} + 9 q^{16} + 42 q^{18} - 7 q^{19} - 11 q^{20} - 7 q^{21} - 4 q^{22} - 5 q^{23} - 25 q^{24} + 13 q^{25} - 21 q^{26} - 7 q^{27} + 12 q^{28} - 15 q^{29} + 2 q^{30} - 21 q^{31} - 17 q^{33} - 13 q^{34} + 19 q^{35} - 40 q^{36} + 7 q^{37} + 28 q^{38} + 21 q^{39} + 35 q^{40} + 50 q^{42} + 7 q^{43} + 42 q^{44} + 16 q^{45} - 7 q^{47} - 14 q^{48} + 13 q^{49} - 28 q^{50} + 20 q^{51} - 6 q^{52} - 10 q^{53} - 38 q^{54} - 35 q^{55} - 21 q^{56} - 14 q^{57} - 57 q^{58} + 44 q^{59} - 28 q^{60} - 7 q^{61} + 37 q^{62} - 13 q^{63} - 26 q^{64} - 6 q^{65} + 21 q^{66} - 37 q^{67} + 14 q^{68} + 21 q^{69} - 21 q^{71} + 35 q^{72} + 14 q^{73} + 7 q^{76} - 7 q^{77} + 17 q^{78} + 49 q^{79} - 6 q^{80} + q^{81} + 22 q^{82} + 5 q^{83} + 21 q^{84} + 14 q^{85} - 44 q^{86} + 15 q^{87} - 66 q^{88} + 7 q^{89} + 28 q^{90} - 3 q^{91} - 6 q^{92} + 19 q^{93} + 66 q^{94} - 7 q^{95} + 30 q^{96} + 14 q^{97} - 42 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/29\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{5}{14}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.12916 2.34472i −0.798434 1.65797i −0.752109 0.659039i \(-0.770963\pi\)
−0.0463255 0.998926i \(-0.514751\pi\)
\(3\) −0.343489 + 0.273923i −0.198313 + 0.158150i −0.717612 0.696443i \(-0.754765\pi\)
0.519298 + 0.854593i \(0.326193\pi\)
\(4\) −2.97573 + 3.73144i −1.48786 + 1.86572i
\(5\) 2.32488 1.11960i 1.03972 0.500702i 0.165487 0.986212i \(-0.447080\pi\)
0.874231 + 0.485510i \(0.161366\pi\)
\(6\) 1.03013 + 0.496082i 0.420547 + 0.202525i
\(7\) 0.0468435 + 0.0587399i 0.0177052 + 0.0222016i 0.790605 0.612326i \(-0.209766\pi\)
−0.772900 + 0.634528i \(0.781195\pi\)
\(8\) 7.03485 + 1.60566i 2.48720 + 0.567686i
\(9\) −0.624612 + 2.73660i −0.208204 + 0.912202i
\(10\) −5.25031 4.18698i −1.66029 1.32404i
\(11\) −3.68362 + 0.840763i −1.11065 + 0.253500i −0.738221 0.674559i \(-0.764334\pi\)
−0.372434 + 0.928059i \(0.621477\pi\)
\(12\) 2.09683i 0.605302i
\(13\) 0.196040 + 0.858907i 0.0543717 + 0.238218i 0.994811 0.101745i \(-0.0324426\pi\)
−0.940439 + 0.339963i \(0.889585\pi\)
\(14\) 0.0848347 0.176161i 0.0226730 0.0470811i
\(15\) −0.491885 + 1.02141i −0.127004 + 0.263727i
\(16\) −2.05458 9.00172i −0.513646 2.25043i
\(17\) 3.94108i 0.955854i −0.878400 0.477927i \(-0.841388\pi\)
0.878400 0.477927i \(-0.158612\pi\)
\(18\) 7.12185 1.62552i 1.67864 0.383138i
\(19\) −0.557928 0.444933i −0.127997 0.102075i 0.557399 0.830245i \(-0.311800\pi\)
−0.685396 + 0.728170i \(0.740371\pi\)
\(20\) −2.74047 + 12.0068i −0.612788 + 2.68480i
\(21\) −0.0321804 0.00734497i −0.00702234 0.00160280i
\(22\) 6.13074 + 7.68771i 1.30708 + 1.63902i
\(23\) −1.06102 0.510959i −0.221237 0.106542i 0.319982 0.947424i \(-0.396323\pi\)
−0.541220 + 0.840881i \(0.682037\pi\)
\(24\) −2.85622 + 1.37548i −0.583024 + 0.280769i
\(25\) 1.03411 1.29673i 0.206822 0.259347i
\(26\) 1.79253 1.42950i 0.351545 0.280348i
\(27\) −1.10694 2.29858i −0.213030 0.442362i
\(28\) −0.358578 −0.0677648
\(29\) −0.719302 5.33691i −0.133571 0.991039i
\(30\) 2.95033 0.538655
\(31\) 2.23488 + 4.64077i 0.401396 + 0.833508i 0.999485 + 0.0320782i \(0.0102126\pi\)
−0.598089 + 0.801430i \(0.704073\pi\)
\(32\) −7.50351 + 5.98385i −1.32645 + 1.05781i
\(33\) 1.03498 1.29782i 0.180167 0.225922i
\(34\) −9.24073 + 4.45010i −1.58477 + 0.763186i
\(35\) 0.174671 + 0.0841171i 0.0295248 + 0.0142184i
\(36\) −8.35281 10.4741i −1.39213 1.74568i
\(37\) 3.01010 + 0.687035i 0.494857 + 0.112948i 0.462664 0.886534i \(-0.346894\pi\)
0.0321930 + 0.999482i \(0.489751\pi\)
\(38\) −0.413254 + 1.81058i −0.0670386 + 0.293715i
\(39\) −0.302612 0.241325i −0.0484567 0.0386429i
\(40\) 18.1529 4.14328i 2.87023 0.655110i
\(41\) 6.67122i 1.04187i 0.853596 + 0.520935i \(0.174417\pi\)
−0.853596 + 0.520935i \(0.825583\pi\)
\(42\) 0.0191148 + 0.0837476i 0.00294948 + 0.0129225i
\(43\) 3.60715 7.49033i 0.550086 1.14226i −0.421773 0.906701i \(-0.638592\pi\)
0.971859 0.235563i \(-0.0756935\pi\)
\(44\) 7.82420 16.2471i 1.17954 2.44934i
\(45\) 1.61176 + 7.06160i 0.240268 + 1.05268i
\(46\) 3.06474i 0.451871i
\(47\) −10.3265 + 2.35695i −1.50627 + 0.343797i −0.894439 0.447190i \(-0.852425\pi\)
−0.611833 + 0.790987i \(0.709567\pi\)
\(48\) 3.17151 + 2.52919i 0.457768 + 0.365057i
\(49\) 1.55639 6.81899i 0.222341 0.974142i
\(50\) −4.20815 0.960482i −0.595122 0.135833i
\(51\) 1.07955 + 1.35372i 0.151168 + 0.189559i
\(52\) −3.78832 1.82436i −0.525346 0.252993i
\(53\) −5.00585 + 2.41069i −0.687607 + 0.331134i −0.744855 0.667226i \(-0.767481\pi\)
0.0572487 + 0.998360i \(0.481767\pi\)
\(54\) −4.13962 + 5.19091i −0.563330 + 0.706394i
\(55\) −7.62267 + 6.07887i −1.02784 + 0.819675i
\(56\) 0.235221 + 0.488441i 0.0314327 + 0.0652707i
\(57\) 0.313519 0.0415267
\(58\) −11.7013 + 7.71277i −1.53646 + 1.01274i
\(59\) 9.91885 1.29132 0.645662 0.763623i \(-0.276582\pi\)
0.645662 + 0.763623i \(0.276582\pi\)
\(60\) −2.34762 4.87488i −0.303076 0.629344i
\(61\) 2.78906 2.22420i 0.357102 0.284779i −0.428462 0.903560i \(-0.640944\pi\)
0.785564 + 0.618780i \(0.212373\pi\)
\(62\) 8.35778 10.4803i 1.06144 1.33100i
\(63\) −0.190007 + 0.0915024i −0.0239386 + 0.0115282i
\(64\) 5.86540 + 2.82463i 0.733175 + 0.353079i
\(65\) 1.41740 + 1.77737i 0.175807 + 0.220456i
\(66\) −4.21168 0.961289i −0.518422 0.118326i
\(67\) 1.09916 4.81572i 0.134283 0.588334i −0.862348 0.506317i \(-0.831007\pi\)
0.996631 0.0820170i \(-0.0261362\pi\)
\(68\) 14.7059 + 11.7276i 1.78336 + 1.42218i
\(69\) 0.504411 0.115129i 0.0607240 0.0138599i
\(70\) 0.504535i 0.0603035i
\(71\) 1.09187 + 4.78379i 0.129581 + 0.567731i 0.997477 + 0.0709858i \(0.0226145\pi\)
−0.867896 + 0.496745i \(0.834528\pi\)
\(72\) −8.78811 + 18.2487i −1.03569 + 2.15063i
\(73\) −3.86250 + 8.02056i −0.452071 + 0.938736i 0.543015 + 0.839723i \(0.317283\pi\)
−0.995086 + 0.0990125i \(0.968432\pi\)
\(74\) −1.78797 7.83360i −0.207847 0.910637i
\(75\) 0.728681i 0.0841408i
\(76\) 3.32048 0.757878i 0.380885 0.0869346i
\(77\) −0.221940 0.176991i −0.0252924 0.0201700i
\(78\) −0.224143 + 0.982034i −0.0253792 + 0.111193i
\(79\) 12.8588 + 2.93495i 1.44673 + 0.330207i 0.872552 0.488522i \(-0.162464\pi\)
0.574180 + 0.818729i \(0.305321\pi\)
\(80\) −14.8550 18.6276i −1.66084 2.08263i
\(81\) −6.57715 3.16739i −0.730795 0.351932i
\(82\) 15.6421 7.53285i 1.72738 0.831865i
\(83\) 10.5908 13.2805i 1.16250 1.45772i 0.298367 0.954451i \(-0.403558\pi\)
0.864128 0.503272i \(-0.167871\pi\)
\(84\) 0.123167 0.0982228i 0.0134387 0.0107170i
\(85\) −4.41245 9.16255i −0.478598 0.993819i
\(86\) −21.6357 −2.33304
\(87\) 1.70898 + 1.63614i 0.183221 + 0.175412i
\(88\) −27.2637 −2.90632
\(89\) 2.94891 + 6.12348i 0.312584 + 0.649088i 0.996778 0.0802128i \(-0.0255600\pi\)
−0.684194 + 0.729300i \(0.739846\pi\)
\(90\) 14.7375 11.7528i 1.55347 1.23885i
\(91\) −0.0412689 + 0.0517495i −0.00432615 + 0.00542482i
\(92\) 5.06391 2.43865i 0.527949 0.254247i
\(93\) −2.03887 0.981869i −0.211421 0.101815i
\(94\) 17.1866 + 21.5513i 1.77266 + 2.22285i
\(95\) −1.79526 0.409757i −0.184190 0.0420402i
\(96\) 0.938257 4.11077i 0.0957605 0.419554i
\(97\) −8.92624 7.11844i −0.906323 0.722768i 0.0549144 0.998491i \(-0.482511\pi\)
−0.961237 + 0.275723i \(0.911083\pi\)
\(98\) −17.7460 + 4.05041i −1.79262 + 0.409153i
\(99\) 10.6058i 1.06592i
\(100\) 1.76146 + 7.71745i 0.176146 + 0.771745i
\(101\) −4.09511 + 8.50358i −0.407479 + 0.846138i 0.591721 + 0.806143i \(0.298449\pi\)
−0.999200 + 0.0399953i \(0.987266\pi\)
\(102\) 1.95510 4.05981i 0.193584 0.401981i
\(103\) 2.04345 + 8.95293i 0.201347 + 0.882158i 0.970118 + 0.242634i \(0.0780115\pi\)
−0.768771 + 0.639524i \(0.779131\pi\)
\(104\) 6.35706i 0.623361i
\(105\) −0.0830391 + 0.0189531i −0.00810379 + 0.00184964i
\(106\) 11.3048 + 9.01526i 1.09802 + 0.875639i
\(107\) 1.08328 4.74615i 0.104724 0.458827i −0.895189 0.445686i \(-0.852960\pi\)
0.999914 0.0131412i \(-0.00418308\pi\)
\(108\) 11.8710 + 2.70947i 1.14228 + 0.260719i
\(109\) −2.70235 3.38864i −0.258838 0.324573i 0.635384 0.772196i \(-0.280842\pi\)
−0.894222 + 0.447624i \(0.852270\pi\)
\(110\) 22.8604 + 11.0090i 2.17966 + 1.04967i
\(111\) −1.22213 + 0.588547i −0.115999 + 0.0558624i
\(112\) 0.432516 0.542358i 0.0408689 0.0512480i
\(113\) −3.53629 + 2.82010i −0.332667 + 0.265293i −0.775550 0.631287i \(-0.782527\pi\)
0.442883 + 0.896579i \(0.353956\pi\)
\(114\) −0.354012 0.735115i −0.0331563 0.0688498i
\(115\) −3.03881 −0.283371
\(116\) 22.0548 + 13.1971i 2.04774 + 1.22532i
\(117\) −2.47294 −0.228623
\(118\) −11.1999 23.2569i −1.03104 2.14097i
\(119\) 0.231499 0.184614i 0.0212215 0.0169235i
\(120\) −5.10038 + 6.39567i −0.465599 + 0.583842i
\(121\) 2.95155 1.42139i 0.268323 0.129217i
\(122\) −8.36439 4.02808i −0.757277 0.364685i
\(123\) −1.82740 2.29149i −0.164771 0.206617i
\(124\) −23.9672 5.47035i −2.15232 0.491252i
\(125\) −1.91863 + 8.40609i −0.171608 + 0.751863i
\(126\) 0.429095 + 0.342192i 0.0382268 + 0.0304848i
\(127\) −5.69126 + 1.29899i −0.505018 + 0.115267i −0.467437 0.884027i \(-0.654822\pi\)
−0.0375812 + 0.999294i \(0.511965\pi\)
\(128\) 2.25255i 0.199099i
\(129\) 0.812759 + 3.56093i 0.0715594 + 0.313522i
\(130\) 2.56696 5.33034i 0.225137 0.467502i
\(131\) −2.87422 + 5.96839i −0.251122 + 0.521460i −0.987979 0.154588i \(-0.950595\pi\)
0.736857 + 0.676049i \(0.236309\pi\)
\(132\) 1.76294 + 7.72393i 0.153444 + 0.672282i
\(133\) 0.0536148i 0.00464899i
\(134\) −12.5326 + 2.86049i −1.08265 + 0.247109i
\(135\) −5.14700 4.10459i −0.442983 0.353267i
\(136\) 6.32804 27.7250i 0.542625 2.37740i
\(137\) 1.51972 + 0.346867i 0.129839 + 0.0296349i 0.286946 0.957947i \(-0.407360\pi\)
−0.157108 + 0.987581i \(0.550217\pi\)
\(138\) −0.839503 1.05270i −0.0714633 0.0896121i
\(139\) −9.58773 4.61721i −0.813221 0.391626i −0.0194253 0.999811i \(-0.506184\pi\)
−0.793795 + 0.608185i \(0.791898\pi\)
\(140\) −0.833650 + 0.401465i −0.0704563 + 0.0339300i
\(141\) 2.90141 3.63825i 0.244343 0.306396i
\(142\) 9.98374 7.96176i 0.837817 0.668136i
\(143\) −1.44427 2.99907i −0.120776 0.250795i
\(144\) 25.9175 2.15979
\(145\) −7.64752 11.6023i −0.635092 0.963522i
\(146\) 23.1673 1.91734
\(147\) 1.33328 + 2.76858i 0.109967 + 0.228349i
\(148\) −11.5209 + 9.18757i −0.947008 + 0.755214i
\(149\) −3.38712 + 4.24732i −0.277484 + 0.347954i −0.900971 0.433880i \(-0.857144\pi\)
0.623487 + 0.781834i \(0.285716\pi\)
\(150\) 1.70855 0.822794i 0.139503 0.0671809i
\(151\) 16.0749 + 7.74125i 1.30816 + 0.629974i 0.952470 0.304632i \(-0.0985333\pi\)
0.355685 + 0.934606i \(0.384248\pi\)
\(152\) −3.21053 4.02588i −0.260408 0.326542i
\(153\) 10.7852 + 2.46165i 0.871931 + 0.199013i
\(154\) −0.164390 + 0.720238i −0.0132469 + 0.0580384i
\(155\) 10.3917 + 8.28707i 0.834678 + 0.665634i
\(156\) 1.80098 0.411062i 0.144194 0.0329113i
\(157\) 9.46360i 0.755278i 0.925953 + 0.377639i \(0.123264\pi\)
−0.925953 + 0.377639i \(0.876736\pi\)
\(158\) −7.63802 33.4643i −0.607648 2.66228i
\(159\) 1.05911 2.19926i 0.0839929 0.174413i
\(160\) −10.7452 + 22.3127i −0.849485 + 1.76397i
\(161\) −0.0196881 0.0862591i −0.00155164 0.00679817i
\(162\) 18.9980i 1.49263i
\(163\) 10.1956 2.32707i 0.798579 0.182270i 0.196287 0.980546i \(-0.437112\pi\)
0.602292 + 0.798276i \(0.294254\pi\)
\(164\) −24.8933 19.8517i −1.94384 1.55016i
\(165\) 0.953157 4.17605i 0.0742031 0.325105i
\(166\) −43.0977 9.83677i −3.34503 0.763481i
\(167\) −0.106265 0.133252i −0.00822305 0.0103114i 0.777703 0.628632i \(-0.216385\pi\)
−0.785926 + 0.618321i \(0.787813\pi\)
\(168\) −0.214591 0.103342i −0.0165561 0.00797298i
\(169\) 11.0133 5.30373i 0.847177 0.407979i
\(170\) −16.5012 + 20.6919i −1.26559 + 1.58700i
\(171\) 1.56609 1.24892i 0.119762 0.0955071i
\(172\) 17.2158 + 35.7491i 1.31270 + 2.72584i
\(173\) 12.0694 0.917616 0.458808 0.888535i \(-0.348277\pi\)
0.458808 + 0.888535i \(0.348277\pi\)
\(174\) 1.90657 5.85452i 0.144537 0.443830i
\(175\) 0.124611 0.00941973
\(176\) 15.1366 + 31.4315i 1.14097 + 2.36924i
\(177\) −3.40701 + 2.71700i −0.256087 + 0.204222i
\(178\) 11.0280 13.8287i 0.826587 1.03651i
\(179\) −1.50897 + 0.726681i −0.112786 + 0.0543147i −0.489426 0.872045i \(-0.662794\pi\)
0.376640 + 0.926360i \(0.377079\pi\)
\(180\) −31.1461 14.9992i −2.32149 1.11797i
\(181\) −9.57845 12.0110i −0.711961 0.892770i 0.285893 0.958262i \(-0.407710\pi\)
−0.997853 + 0.0654914i \(0.979139\pi\)
\(182\) 0.167937 + 0.0383305i 0.0124483 + 0.00284125i
\(183\) −0.348750 + 1.52797i −0.0257804 + 0.112951i
\(184\) −6.64368 5.29816i −0.489778 0.390585i
\(185\) 7.76732 1.77284i 0.571065 0.130342i
\(186\) 5.88926i 0.431822i
\(187\) 3.31352 + 14.5175i 0.242309 + 1.06162i
\(188\) 21.9339 45.5463i 1.59970 3.32180i
\(189\) 0.0831655 0.172695i 0.00604940 0.0125617i
\(190\) 1.06637 + 4.67207i 0.0773625 + 0.338947i
\(191\) 20.4783i 1.48176i −0.671640 0.740878i \(-0.734410\pi\)
0.671640 0.740878i \(-0.265590\pi\)
\(192\) −2.78843 + 0.636441i −0.201238 + 0.0459312i
\(193\) 2.45058 + 1.95427i 0.176396 + 0.140671i 0.707708 0.706505i \(-0.249729\pi\)
−0.531312 + 0.847176i \(0.678301\pi\)
\(194\) −6.61161 + 28.9674i −0.474686 + 2.07973i
\(195\) −0.973726 0.222247i −0.0697299 0.0159154i
\(196\) 20.8133 + 26.0990i 1.48666 + 1.86422i
\(197\) −2.55911 1.23240i −0.182329 0.0878051i 0.340492 0.940247i \(-0.389406\pi\)
−0.522821 + 0.852442i \(0.675121\pi\)
\(198\) −24.8675 + 11.9756i −1.76726 + 0.851067i
\(199\) −11.9204 + 14.9478i −0.845018 + 1.05962i 0.152436 + 0.988313i \(0.451288\pi\)
−0.997454 + 0.0713059i \(0.977283\pi\)
\(200\) 9.35693 7.46190i 0.661635 0.527636i
\(201\) 0.941589 + 1.95523i 0.0664146 + 0.137911i
\(202\) 24.5625 1.72821
\(203\) 0.279795 0.292251i 0.0196377 0.0205120i
\(204\) −8.26378 −0.578580
\(205\) 7.46913 + 15.5098i 0.521666 + 1.08325i
\(206\) 18.6847 14.9006i 1.30183 1.03817i
\(207\) 2.06102 2.58443i 0.143251 0.179631i
\(208\) 7.32886 3.52939i 0.508165 0.244719i
\(209\) 2.42928 + 1.16988i 0.168037 + 0.0809223i
\(210\) 0.138204 + 0.173302i 0.00953697 + 0.0119590i
\(211\) −17.4449 3.98169i −1.20096 0.274111i −0.425176 0.905111i \(-0.639788\pi\)
−0.775783 + 0.631000i \(0.782645\pi\)
\(212\) 5.90069 25.8526i 0.405261 1.77556i
\(213\) −1.68543 1.34409i −0.115484 0.0920955i
\(214\) −12.3516 + 2.81916i −0.844335 + 0.192714i
\(215\) 21.4527i 1.46306i
\(216\) −4.09641 17.9475i −0.278725 1.22118i
\(217\) −0.167909 + 0.348666i −0.0113984 + 0.0236690i
\(218\) −4.89402 + 10.1625i −0.331465 + 0.688294i
\(219\) −0.870293 3.81300i −0.0588089 0.257659i
\(220\) 46.5326i 3.13723i
\(221\) 3.38503 0.772610i 0.227701 0.0519714i
\(222\) 2.75995 + 2.20099i 0.185236 + 0.147721i
\(223\) −3.94548 + 17.2863i −0.264209 + 1.15758i 0.652426 + 0.757852i \(0.273751\pi\)
−0.916636 + 0.399724i \(0.869106\pi\)
\(224\) −0.702981 0.160451i −0.0469699 0.0107206i
\(225\) 2.90273 + 3.63991i 0.193515 + 0.242661i
\(226\) 10.6054 + 5.10728i 0.705458 + 0.339731i
\(227\) −20.0120 + 9.63726i −1.32824 + 0.639648i −0.957324 0.289018i \(-0.906671\pi\)
−0.370918 + 0.928665i \(0.620957\pi\)
\(228\) −0.932948 + 1.16988i −0.0617860 + 0.0774772i
\(229\) 7.79339 6.21502i 0.515002 0.410700i −0.331202 0.943560i \(-0.607454\pi\)
0.846204 + 0.532860i \(0.178883\pi\)
\(230\) 3.43129 + 7.12515i 0.226253 + 0.469819i
\(231\) 0.124716 0.00820571
\(232\) 3.50907 38.6993i 0.230382 2.54074i
\(233\) −20.0765 −1.31525 −0.657627 0.753344i \(-0.728440\pi\)
−0.657627 + 0.753344i \(0.728440\pi\)
\(234\) 2.79233 + 5.79834i 0.182541 + 0.379049i
\(235\) −21.3690 + 17.0412i −1.39396 + 1.11164i
\(236\) −29.5158 + 37.0116i −1.92131 + 2.40925i
\(237\) −5.22082 + 2.51421i −0.339128 + 0.163316i
\(238\) −0.694266 0.334341i −0.0450026 0.0216721i
\(239\) −0.736250 0.923228i −0.0476240 0.0597187i 0.757449 0.652894i \(-0.226445\pi\)
−0.805073 + 0.593176i \(0.797874\pi\)
\(240\) 10.2051 + 2.32924i 0.658734 + 0.150352i
\(241\) 2.63267 11.5345i 0.169585 0.743002i −0.816579 0.577233i \(-0.804132\pi\)
0.986165 0.165769i \(-0.0530106\pi\)
\(242\) −6.66552 5.31558i −0.428476 0.341698i
\(243\) 10.5886 2.41678i 0.679259 0.155036i
\(244\) 17.0258i 1.08997i
\(245\) −4.01615 17.5959i −0.256582 1.12416i
\(246\) −3.30947 + 6.87220i −0.211004 + 0.438155i
\(247\) 0.272780 0.566433i 0.0173566 0.0360413i
\(248\) 8.27055 + 36.2356i 0.525180 + 2.30096i
\(249\) 7.46278i 0.472934i
\(250\) 21.8763 4.99313i 1.38358 0.315793i
\(251\) 5.99272 + 4.77903i 0.378257 + 0.301650i 0.794101 0.607786i \(-0.207942\pi\)
−0.415844 + 0.909436i \(0.636514\pi\)
\(252\) 0.223972 0.981285i 0.0141089 0.0618152i
\(253\) 4.33799 + 0.990117i 0.272727 + 0.0622481i
\(254\) 9.47210 + 11.8776i 0.594332 + 0.745269i
\(255\) 4.02547 + 1.93856i 0.252084 + 0.121397i
\(256\) 17.0124 8.19274i 1.06328 0.512046i
\(257\) 7.09081 8.89160i 0.442313 0.554643i −0.509838 0.860270i \(-0.670295\pi\)
0.952151 + 0.305627i \(0.0988662\pi\)
\(258\) 7.43164 5.92653i 0.462674 0.368970i
\(259\) 0.100647 + 0.208996i 0.00625390 + 0.0129864i
\(260\) −10.8500 −0.672886
\(261\) 15.0543 + 1.36505i 0.931838 + 0.0844946i
\(262\) 17.2396 1.06507
\(263\) −7.26601 15.0880i −0.448041 0.930367i −0.995609 0.0936061i \(-0.970161\pi\)
0.547568 0.836761i \(-0.315554\pi\)
\(264\) 9.36479 7.46817i 0.576363 0.459634i
\(265\) −8.93899 + 11.2091i −0.549118 + 0.688572i
\(266\) −0.125712 + 0.0605395i −0.00770787 + 0.00371191i
\(267\) −2.69028 1.29557i −0.164643 0.0792877i
\(268\) 14.6988 + 18.4317i 0.897871 + 1.12590i
\(269\) 21.3838 + 4.88070i 1.30379 + 0.297582i 0.817355 0.576135i \(-0.195440\pi\)
0.486436 + 0.873716i \(0.338297\pi\)
\(270\) −3.81235 + 16.7030i −0.232012 + 1.01651i
\(271\) −5.11655 4.08031i −0.310808 0.247861i 0.455645 0.890162i \(-0.349409\pi\)
−0.766453 + 0.642300i \(0.777980\pi\)
\(272\) −35.4765 + 8.09729i −2.15108 + 0.490970i
\(273\) 0.0290799i 0.00176000i
\(274\) −0.902701 3.95499i −0.0545342 0.238930i
\(275\) −2.71903 + 5.64612i −0.163964 + 0.340474i
\(276\) −1.07139 + 2.22477i −0.0644903 + 0.133916i
\(277\) −4.79035 20.9879i −0.287824 1.26104i −0.887504 0.460801i \(-0.847562\pi\)
0.599679 0.800240i \(-0.295295\pi\)
\(278\) 27.6941i 1.66098i
\(279\) −14.0959 + 3.21730i −0.843899 + 0.192615i
\(280\) 1.09372 + 0.872213i 0.0653623 + 0.0521247i
\(281\) 1.93530 8.47909i 0.115450 0.505820i −0.883827 0.467813i \(-0.845042\pi\)
0.999277 0.0380069i \(-0.0121009\pi\)
\(282\) −11.8068 2.69483i −0.703085 0.160475i
\(283\) −13.7097 17.1914i −0.814957 1.02192i −0.999237 0.0390501i \(-0.987567\pi\)
0.184280 0.982874i \(-0.441005\pi\)
\(284\) −21.0995 10.1610i −1.25203 0.602944i
\(285\) 0.728895 0.351018i 0.0431760 0.0207925i
\(286\) −5.40115 + 6.77283i −0.319377 + 0.400486i
\(287\) −0.391867 + 0.312503i −0.0231312 + 0.0184465i
\(288\) −11.6887 24.2717i −0.688760 1.43023i
\(289\) 1.46785 0.0863441
\(290\) −18.5690 + 31.0321i −1.09041 + 1.82227i
\(291\) 5.01597 0.294042
\(292\) −18.4345 38.2797i −1.07880 2.24015i
\(293\) −1.74043 + 1.38795i −0.101677 + 0.0810847i −0.673009 0.739635i \(-0.734998\pi\)
0.571332 + 0.820719i \(0.306427\pi\)
\(294\) 4.98606 6.25232i 0.290793 0.364643i
\(295\) 23.0601 11.1052i 1.34261 0.646568i
\(296\) 20.0724 + 9.66638i 1.16669 + 0.561847i
\(297\) 6.01011 + 7.53644i 0.348742 + 0.437308i
\(298\) 13.7834 + 3.14596i 0.798448 + 0.182241i
\(299\) 0.230865 1.01148i 0.0133512 0.0584956i
\(300\) −2.71903 2.16835i −0.156983 0.125190i
\(301\) 0.608952 0.138989i 0.0350994 0.00801122i
\(302\) 46.4321i 2.67187i
\(303\) −0.922704 4.04263i −0.0530080 0.232243i
\(304\) −2.85885 + 5.93646i −0.163966 + 0.340480i
\(305\) 3.99400 8.29363i 0.228696 0.474892i
\(306\) −6.40629 28.0678i −0.366224 1.60453i
\(307\) 13.8760i 0.791945i 0.918262 + 0.395972i \(0.129592\pi\)
−0.918262 + 0.395972i \(0.870408\pi\)
\(308\) 1.32087 0.301479i 0.0752633 0.0171784i
\(309\) −3.15432 2.51548i −0.179443 0.143101i
\(310\) 7.69703 33.7229i 0.437162 1.91533i
\(311\) −1.37676 0.314237i −0.0780691 0.0178188i 0.183308 0.983056i \(-0.441319\pi\)
−0.261377 + 0.965237i \(0.584177\pi\)
\(312\) −1.74135 2.18358i −0.0985843 0.123621i
\(313\) 25.9017 + 12.4736i 1.46405 + 0.705049i 0.984971 0.172722i \(-0.0552562\pi\)
0.479080 + 0.877771i \(0.340971\pi\)
\(314\) 22.1895 10.6859i 1.25222 0.603039i
\(315\) −0.339297 + 0.425465i −0.0191172 + 0.0239722i
\(316\) −49.2159 + 39.2484i −2.76861 + 2.20790i
\(317\) 9.68440 + 20.1099i 0.543930 + 1.12948i 0.973971 + 0.226673i \(0.0727848\pi\)
−0.430041 + 0.902809i \(0.641501\pi\)
\(318\) −6.35255 −0.356234
\(319\) 7.13672 + 19.0544i 0.399579 + 1.06684i
\(320\) 16.7988 0.939083
\(321\) 0.927986 + 1.92698i 0.0517951 + 0.107554i
\(322\) −0.180022 + 0.143563i −0.0100323 + 0.00800045i
\(323\) −1.75352 + 2.19884i −0.0975683 + 0.122347i
\(324\) 31.3907 15.1170i 1.74393 0.839832i
\(325\) 1.31650 + 0.633993i 0.0730263 + 0.0351676i
\(326\) −16.9687 21.2781i −0.939811 1.17849i
\(327\) 1.85645 + 0.423723i 0.102662 + 0.0234320i
\(328\) −10.7117 + 46.9311i −0.591455 + 2.59134i
\(329\) −0.622175 0.496168i −0.0343016 0.0273546i
\(330\) −10.8679 + 2.48053i −0.598259 + 0.136549i
\(331\) 9.34951i 0.513895i 0.966425 + 0.256948i \(0.0827168\pi\)
−0.966425 + 0.256948i \(0.917283\pi\)
\(332\) 18.0400 + 79.0382i 0.990071 + 4.33778i
\(333\) −3.76029 + 7.80831i −0.206062 + 0.427893i
\(334\) −0.192449 + 0.399625i −0.0105304 + 0.0218665i
\(335\) −2.83629 12.4266i −0.154963 0.678937i
\(336\) 0.304770i 0.0166266i
\(337\) −15.0442 + 3.43373i −0.819508 + 0.187047i −0.611667 0.791115i \(-0.709501\pi\)
−0.207841 + 0.978163i \(0.566644\pi\)
\(338\) −24.8715 19.8344i −1.35283 1.07885i
\(339\) 0.442187 1.93735i 0.0240163 0.105222i
\(340\) 47.3198 + 10.8004i 2.56628 + 0.585736i
\(341\) −12.1342 15.2159i −0.657106 0.823985i
\(342\) −4.69672 2.26182i −0.253970 0.122305i
\(343\) 0.947289 0.456190i 0.0511488 0.0246320i
\(344\) 37.4027 46.9015i 2.01662 2.52876i
\(345\) 1.04380 0.832401i 0.0561962 0.0448150i
\(346\) −13.6282 28.2992i −0.732656 1.52138i
\(347\) 9.39939 0.504586 0.252293 0.967651i \(-0.418815\pi\)
0.252293 + 0.967651i \(0.418815\pi\)
\(348\) −11.1906 + 1.50825i −0.599878 + 0.0808509i
\(349\) −24.5072 −1.31184 −0.655921 0.754830i \(-0.727720\pi\)
−0.655921 + 0.754830i \(0.727720\pi\)
\(350\) −0.140706 0.292178i −0.00752103 0.0156176i
\(351\) 1.75726 1.40137i 0.0937957 0.0747996i
\(352\) 22.6091 28.3509i 1.20507 1.51111i
\(353\) −21.7562 + 10.4772i −1.15796 + 0.557646i −0.911417 0.411484i \(-0.865010\pi\)
−0.246548 + 0.969131i \(0.579296\pi\)
\(354\) 10.2177 + 4.92056i 0.543062 + 0.261525i
\(355\) 7.89441 + 9.89928i 0.418992 + 0.525399i
\(356\) −31.6246 7.21810i −1.67610 0.382559i
\(357\) −0.0289472 + 0.126826i −0.00153205 + 0.00671233i
\(358\) 3.40772 + 2.71757i 0.180104 + 0.143628i
\(359\) 14.8629 3.39237i 0.784436 0.179042i 0.188499 0.982073i \(-0.439638\pi\)
0.595937 + 0.803031i \(0.296781\pi\)
\(360\) 52.2653i 2.75462i
\(361\) −4.11458 18.0271i −0.216557 0.948797i
\(362\) −17.3468 + 36.0210i −0.911729 + 1.89322i
\(363\) −0.624472 + 1.29673i −0.0327763 + 0.0680607i
\(364\) −0.0702955 0.307985i −0.00368449 0.0161428i
\(365\) 22.9713i 1.20237i
\(366\) 3.97646 0.907601i 0.207853 0.0474411i
\(367\) 10.0090 + 7.98194i 0.522467 + 0.416654i 0.848889 0.528570i \(-0.177272\pi\)
−0.326422 + 0.945224i \(0.605843\pi\)
\(368\) −2.41956 + 10.6008i −0.126128 + 0.552604i
\(369\) −18.2565 4.16693i −0.950395 0.216922i
\(370\) −12.9273 16.2104i −0.672060 0.842737i
\(371\) −0.376095 0.181118i −0.0195259 0.00940317i
\(372\) 9.73091 4.68616i 0.504524 0.242966i
\(373\) −0.0122046 + 0.0153041i −0.000631929 + 0.000792414i −0.782147 0.623094i \(-0.785876\pi\)
0.781515 + 0.623886i \(0.214447\pi\)
\(374\) 30.2979 24.1618i 1.56667 1.24938i
\(375\) −1.64359 3.41296i −0.0848748 0.176244i
\(376\) −76.4297 −3.94156
\(377\) 4.44290 1.66406i 0.228821 0.0857035i
\(378\) −0.498827 −0.0256569
\(379\) −2.27170 4.71723i −0.116689 0.242308i 0.834441 0.551097i \(-0.185791\pi\)
−0.951130 + 0.308789i \(0.900076\pi\)
\(380\) 6.87120 5.47960i 0.352485 0.281098i
\(381\) 1.59906 2.00516i 0.0819224 0.102727i
\(382\) −48.0158 + 23.1232i −2.45670 + 1.18308i
\(383\) −0.247625 0.119250i −0.0126531 0.00609340i 0.427547 0.903993i \(-0.359378\pi\)
−0.440200 + 0.897900i \(0.645092\pi\)
\(384\) −0.617026 0.773727i −0.0314875 0.0394841i
\(385\) −0.714144 0.162999i −0.0363962 0.00830719i
\(386\) 1.81513 7.95259i 0.0923875 0.404776i
\(387\) 18.2450 + 14.5499i 0.927446 + 0.739613i
\(388\) 53.1241 12.1252i 2.69697 0.615565i
\(389\) 7.53699i 0.382140i −0.981576 0.191070i \(-0.938804\pi\)
0.981576 0.191070i \(-0.0611958\pi\)
\(390\) 0.578383 + 2.53406i 0.0292876 + 0.128317i
\(391\) −2.01373 + 4.18156i −0.101839 + 0.211471i
\(392\) 21.8980 45.4716i 1.10601 2.29666i
\(393\) −0.647616 2.83739i −0.0326679 0.143127i
\(394\) 7.39197i 0.372402i
\(395\) 33.1812 7.57340i 1.66953 0.381059i
\(396\) 39.5748 + 31.5599i 1.98871 + 1.58594i
\(397\) −3.72376 + 16.3149i −0.186890 + 0.818819i 0.791353 + 0.611359i \(0.209377\pi\)
−0.978243 + 0.207460i \(0.933480\pi\)
\(398\) 48.5083 + 11.0717i 2.43150 + 0.554975i
\(399\) 0.0146863 + 0.0184161i 0.000735237 + 0.000921958i
\(400\) −13.7975 6.64453i −0.689875 0.332226i
\(401\) 7.25954 3.49601i 0.362524 0.174582i −0.243750 0.969838i \(-0.578378\pi\)
0.606274 + 0.795256i \(0.292663\pi\)
\(402\) 3.52126 4.41552i 0.175625 0.220226i
\(403\) −3.54787 + 2.82933i −0.176732 + 0.140939i
\(404\) −19.5447 40.5850i −0.972385 2.01918i
\(405\) −18.8373 −0.936034
\(406\) −1.00118 0.326042i −0.0496876 0.0161812i
\(407\) −11.6657 −0.578247
\(408\) 5.42090 + 11.2566i 0.268374 + 0.557285i
\(409\) −7.43022 + 5.92540i −0.367401 + 0.292992i −0.789735 0.613448i \(-0.789782\pi\)
0.422335 + 0.906440i \(0.361211\pi\)
\(410\) 27.9323 35.0260i 1.37948 1.72981i
\(411\) −0.617024 + 0.297143i −0.0304355 + 0.0146570i
\(412\) −39.4881 19.0165i −1.94544 0.936874i
\(413\) 0.464633 + 0.582631i 0.0228631 + 0.0286694i
\(414\) −8.38698 1.91427i −0.412198 0.0940814i
\(415\) 9.75355 42.7331i 0.478783 2.09769i
\(416\) −6.61056 5.27175i −0.324109 0.258469i
\(417\) 4.55804 1.04034i 0.223208 0.0509458i
\(418\) 7.01695i 0.343210i
\(419\) 5.17317 + 22.6651i 0.252726 + 1.10726i 0.928844 + 0.370471i \(0.120804\pi\)
−0.676118 + 0.736793i \(0.736339\pi\)
\(420\) 0.176379 0.366255i 0.00860642 0.0178714i
\(421\) 7.57266 15.7248i 0.369069 0.766380i −0.630886 0.775876i \(-0.717308\pi\)
0.999955 + 0.00949580i \(0.00302265\pi\)
\(422\) 10.3621 + 45.3994i 0.504420 + 2.21001i
\(423\) 29.7317i 1.44560i
\(424\) −39.0862 + 8.92117i −1.89819 + 0.433250i
\(425\) −5.11054 4.07552i −0.247898 0.197692i
\(426\) −1.24839 + 5.46956i −0.0604847 + 0.265001i
\(427\) 0.261298 + 0.0596396i 0.0126451 + 0.00288616i
\(428\) 14.4864 + 18.1654i 0.700228 + 0.878058i
\(429\) 1.31761 + 0.634526i 0.0636146 + 0.0306352i
\(430\) −50.3005 + 24.2235i −2.42571 + 1.16816i
\(431\) −20.4411 + 25.6323i −0.984613 + 1.23467i −0.0125555 + 0.999921i \(0.503997\pi\)
−0.972057 + 0.234744i \(0.924575\pi\)
\(432\) −18.4169 + 14.6870i −0.886083 + 0.706627i
\(433\) 2.17847 + 4.52364i 0.104691 + 0.217392i 0.946733 0.322018i \(-0.104361\pi\)
−0.842043 + 0.539411i \(0.818647\pi\)
\(434\) 1.00712 0.0483433
\(435\) 5.80499 + 1.89044i 0.278328 + 0.0906399i
\(436\) 20.6859 0.990677
\(437\) 0.364629 + 0.757160i 0.0174426 + 0.0362199i
\(438\) −7.95771 + 6.34606i −0.380234 + 0.303227i
\(439\) 13.3234 16.7070i 0.635892 0.797383i −0.354591 0.935022i \(-0.615380\pi\)
0.990483 + 0.137638i \(0.0439512\pi\)
\(440\) −63.3850 + 30.5246i −3.02176 + 1.45520i
\(441\) 17.6887 + 8.51845i 0.842321 + 0.405641i
\(442\) −5.63377 7.06453i −0.267971 0.336025i
\(443\) −38.8306 8.86283i −1.84490 0.421086i −0.850425 0.526096i \(-0.823655\pi\)
−0.994471 + 0.105010i \(0.966512\pi\)
\(444\) 1.44059 6.31166i 0.0683676 0.299538i
\(445\) 13.7117 + 10.9347i 0.649999 + 0.518357i
\(446\) 44.9866 10.2679i 2.13018 0.486199i
\(447\) 2.38672i 0.112888i
\(448\) 0.108837 + 0.476848i 0.00514209 + 0.0225290i
\(449\) 4.30699 8.94356i 0.203260 0.422073i −0.774275 0.632850i \(-0.781885\pi\)
0.977534 + 0.210777i \(0.0675993\pi\)
\(450\) 5.25692 10.9161i 0.247814 0.514590i
\(451\) −5.60892 24.5743i −0.264114 1.15716i
\(452\) 21.5873i 1.01538i
\(453\) −7.64205 + 1.74425i −0.359055 + 0.0819519i
\(454\) 45.1933 + 36.0405i 2.12103 + 1.69146i
\(455\) −0.0380063 + 0.166516i −0.00178176 + 0.00780640i
\(456\) 2.20556 + 0.503406i 0.103285 + 0.0235741i
\(457\) −9.11819 11.4338i −0.426531 0.534853i 0.521407 0.853308i \(-0.325407\pi\)
−0.947938 + 0.318455i \(0.896836\pi\)
\(458\) −23.3724 11.2556i −1.09212 0.525938i
\(459\) −9.05890 + 4.36254i −0.422833 + 0.203626i
\(460\) 9.04267 11.3391i 0.421617 0.528691i
\(461\) 14.7393 11.7542i 0.686477 0.547447i −0.216953 0.976182i \(-0.569612\pi\)
0.903430 + 0.428735i \(0.141041\pi\)
\(462\) −0.140824 0.292424i −0.00655172 0.0136048i
\(463\) 35.4987 1.64977 0.824883 0.565304i \(-0.191241\pi\)
0.824883 + 0.565304i \(0.191241\pi\)
\(464\) −46.5635 + 17.4401i −2.16166 + 0.809636i
\(465\) −5.83944 −0.270798
\(466\) 22.6695 + 47.0736i 1.05014 + 2.18064i
\(467\) −4.74405 + 3.78325i −0.219528 + 0.175068i −0.727079 0.686554i \(-0.759123\pi\)
0.507550 + 0.861622i \(0.330551\pi\)
\(468\) 7.35878 9.22762i 0.340160 0.426547i
\(469\) 0.334363 0.161021i 0.0154394 0.00743524i
\(470\) 64.0857 + 30.8620i 2.95605 + 1.42356i
\(471\) −2.59230 3.25064i −0.119447 0.149782i
\(472\) 69.7776 + 15.9263i 3.21178 + 0.733067i
\(473\) −6.98980 + 30.6243i −0.321391 + 1.40811i
\(474\) 11.7902 + 9.40240i 0.541543 + 0.431867i
\(475\) −1.15392 + 0.263374i −0.0529454 + 0.0120844i
\(476\) 1.41319i 0.0647732i
\(477\) −3.47039 15.2048i −0.158898 0.696179i
\(478\) −1.33337 + 2.76877i −0.0609868 + 0.126640i
\(479\) −1.52688 + 3.17060i −0.0697648 + 0.144868i −0.932935 0.360045i \(-0.882761\pi\)
0.863170 + 0.504913i \(0.168476\pi\)
\(480\) −2.42110 10.6075i −0.110508 0.484166i
\(481\) 2.72008i 0.124025i
\(482\) −30.0178 + 6.85138i −1.36728 + 0.312072i
\(483\) 0.0303910 + 0.0242360i 0.00138284 + 0.00110278i
\(484\) −3.47916 + 15.2432i −0.158144 + 0.692873i
\(485\) −28.7223 6.55568i −1.30421 0.297678i
\(486\) −17.6229 22.0984i −0.799389 1.00240i
\(487\) −7.09733 3.41790i −0.321611 0.154880i 0.266112 0.963942i \(-0.414261\pi\)
−0.587722 + 0.809063i \(0.699975\pi\)
\(488\) 23.1919 11.1686i 1.04985 0.505580i
\(489\) −2.86463 + 3.59213i −0.129543 + 0.162442i
\(490\) −36.7225 + 29.2852i −1.65895 + 1.32297i
\(491\) 9.47181 + 19.6684i 0.427457 + 0.887623i 0.997805 + 0.0662200i \(0.0210939\pi\)
−0.570348 + 0.821403i \(0.693192\pi\)
\(492\) 13.9884 0.630646
\(493\) −21.0332 + 2.83483i −0.947288 + 0.127674i
\(494\) −1.63614 −0.0736132
\(495\) −11.8743 24.6572i −0.533709 1.10826i
\(496\) 37.1832 29.6526i 1.66958 1.33144i
\(497\) −0.229852 + 0.288225i −0.0103103 + 0.0129287i
\(498\) 17.4981 8.42664i 0.784109 0.377607i
\(499\) −26.6790 12.8479i −1.19432 0.575153i −0.272266 0.962222i \(-0.587773\pi\)
−0.922051 + 0.387069i \(0.873487\pi\)
\(500\) −25.6575 32.1735i −1.14744 1.43884i
\(501\) 0.0730019 + 0.0166622i 0.00326148 + 0.000744412i
\(502\) 4.43876 19.4475i 0.198112 0.867984i
\(503\) 11.0048 + 8.77604i 0.490680 + 0.391304i 0.837336 0.546688i \(-0.184112\pi\)
−0.346657 + 0.937992i \(0.612683\pi\)
\(504\) −1.48359 + 0.338620i −0.0660844 + 0.0150833i
\(505\) 24.3547i 1.08377i
\(506\) −2.57672 11.2893i −0.114549 0.501873i
\(507\) −2.33013 + 4.83857i −0.103485 + 0.214889i
\(508\) 12.0885 25.1021i 0.536341 1.11372i
\(509\) 6.25625 + 27.4104i 0.277304 + 1.21495i 0.901188 + 0.433429i \(0.142697\pi\)
−0.623884 + 0.781517i \(0.714446\pi\)
\(510\) 11.6275i 0.514875i
\(511\) −0.652059 + 0.148828i −0.0288454 + 0.00658378i
\(512\) −34.8971 27.8295i −1.54225 1.22990i
\(513\) −0.405122 + 1.77496i −0.0178866 + 0.0783662i
\(514\) −28.8549 6.58595i −1.27274 0.290494i
\(515\) 14.7745 + 18.5266i 0.651043 + 0.816382i
\(516\) −15.7059 7.56358i −0.691416 0.332968i
\(517\) 36.0572 17.3642i 1.58580 0.763679i
\(518\) 0.376390 0.471978i 0.0165376 0.0207375i
\(519\) −4.14569 + 3.30608i −0.181976 + 0.145121i
\(520\) 7.11739 + 14.7794i 0.312118 + 0.648120i
\(521\) −30.6374 −1.34225 −0.671125 0.741344i \(-0.734189\pi\)
−0.671125 + 0.741344i \(0.734189\pi\)
\(522\) −13.7980 36.8394i −0.603922 1.61242i
\(523\) 31.1728 1.36309 0.681546 0.731775i \(-0.261308\pi\)
0.681546 + 0.731775i \(0.261308\pi\)
\(524\) −13.7178 28.4853i −0.599264 1.24438i
\(525\) −0.0428026 + 0.0341339i −0.00186806 + 0.00148973i
\(526\) −27.1727 + 34.0735i −1.18479 + 1.48567i
\(527\) 18.2897 8.80785i 0.796711 0.383676i
\(528\) −13.8091 6.65011i −0.600964 0.289409i
\(529\) −13.4756 16.8979i −0.585895 0.734689i
\(530\) 36.3758 + 8.30253i 1.58006 + 0.360639i
\(531\) −6.19543 + 27.1440i −0.268859 + 1.17795i
\(532\) 0.200061 + 0.159543i 0.00867372 + 0.00691706i
\(533\) −5.72996 + 1.30783i −0.248192 + 0.0566482i
\(534\) 7.77085i 0.336278i
\(535\) −2.79531 12.2471i −0.120852 0.529487i
\(536\) 15.4648 32.1130i 0.667978 1.38707i
\(537\) 0.319259 0.662948i 0.0137770 0.0286083i
\(538\) −12.7017 55.6499i −0.547611 2.39924i
\(539\) 26.4272i 1.13830i
\(540\) 30.6321 6.99158i 1.31820 0.300870i
\(541\) −17.4950 13.9518i −0.752167 0.599833i 0.170533 0.985352i \(-0.445451\pi\)
−0.922700 + 0.385519i \(0.874022\pi\)
\(542\) −3.78980 + 16.6042i −0.162786 + 0.713211i
\(543\) 6.58018 + 1.50188i 0.282383 + 0.0644520i
\(544\) 23.5829 + 29.5720i 1.01111 + 1.26789i
\(545\) −10.0766 4.85262i −0.431633 0.207863i
\(546\) −0.0681841 + 0.0328357i −0.00291801 + 0.00140524i
\(547\) −7.66662 + 9.61363i −0.327801 + 0.411049i −0.918235 0.396037i \(-0.870385\pi\)
0.590434 + 0.807086i \(0.298957\pi\)
\(548\) −5.81660 + 4.63858i −0.248473 + 0.198150i
\(549\) 4.34467 + 9.02180i 0.185426 + 0.385041i
\(550\) 16.3088 0.695408
\(551\) −1.97325 + 3.29765i −0.0840631 + 0.140485i
\(552\) 3.73332 0.158901
\(553\) 0.429954 + 0.892809i 0.0182835 + 0.0379661i
\(554\) −43.8017 + 34.9307i −1.86095 + 1.48406i
\(555\) −2.18237 + 2.73660i −0.0926363 + 0.116162i
\(556\) 45.7593 22.0365i 1.94063 0.934556i
\(557\) 5.41271 + 2.60662i 0.229344 + 0.110446i 0.545027 0.838418i \(-0.316519\pi\)
−0.315683 + 0.948865i \(0.602234\pi\)
\(558\) 23.4601 + 29.4181i 0.993146 + 1.24537i
\(559\) 7.14064 + 1.62981i 0.302017 + 0.0689334i
\(560\) 0.398322 1.74516i 0.0168322 0.0737466i
\(561\) −5.11483 4.07894i −0.215948 0.172213i
\(562\) −22.0663 + 5.03649i −0.930812 + 0.212452i
\(563\) 28.0097i 1.18047i −0.807233 0.590233i \(-0.799036\pi\)
0.807233 0.590233i \(-0.200964\pi\)
\(564\) 4.94212 + 21.6529i 0.208101 + 0.911750i
\(565\) −5.06407 + 10.5156i −0.213047 + 0.442397i
\(566\) −24.8286 + 51.5572i −1.04363 + 2.16711i
\(567\) −0.122045 0.534713i −0.00512539 0.0224558i
\(568\) 35.4064i 1.48562i
\(569\) 33.8070 7.71623i 1.41726 0.323481i 0.555807 0.831312i \(-0.312409\pi\)
0.861457 + 0.507830i \(0.169552\pi\)
\(570\) −1.64607 1.31270i −0.0689465 0.0549830i
\(571\) −0.974237 + 4.26841i −0.0407705 + 0.178627i −0.991214 0.132272i \(-0.957773\pi\)
0.950443 + 0.310899i \(0.100630\pi\)
\(572\) 15.4886 + 3.53517i 0.647611 + 0.147813i
\(573\) 5.60947 + 7.03406i 0.234339 + 0.293852i
\(574\) 1.17521 + 0.565952i 0.0490523 + 0.0236224i
\(575\) −1.75979 + 0.847469i −0.0733882 + 0.0353419i
\(576\) −11.3935 + 14.2870i −0.474729 + 0.595291i
\(577\) 35.0665 27.9646i 1.45984 1.16418i 0.506510 0.862234i \(-0.330935\pi\)
0.953325 0.301946i \(-0.0976363\pi\)
\(578\) −1.65743 3.44169i −0.0689401 0.143155i
\(579\) −1.37707 −0.0572289
\(580\) 66.0504 + 5.98914i 2.74259 + 0.248685i
\(581\) 1.27621 0.0529459
\(582\) −5.66382 11.7610i −0.234773 0.487511i
\(583\) 16.4129 13.0888i 0.679751 0.542083i
\(584\) −40.0504 + 50.2216i −1.65730 + 2.07819i
\(585\) −5.74929 + 2.76871i −0.237704 + 0.114472i
\(586\) 5.21956 + 2.51361i 0.215618 + 0.103836i
\(587\) 3.99518 + 5.00980i 0.164899 + 0.206777i 0.857415 0.514626i \(-0.172069\pi\)
−0.692516 + 0.721403i \(0.743498\pi\)
\(588\) −14.2983 3.26349i −0.589650 0.134584i
\(589\) 0.817931 3.58359i 0.0337023 0.147659i
\(590\) −52.0770 41.5300i −2.14398 1.70976i
\(591\) 1.21661 0.277683i 0.0500447 0.0114224i
\(592\) 28.5076i 1.17166i
\(593\) −0.315432 1.38200i −0.0129532 0.0567519i 0.968038 0.250803i \(-0.0806945\pi\)
−0.980991 + 0.194051i \(0.937837\pi\)
\(594\) 10.8845 22.6018i 0.446595 0.927364i
\(595\) 0.331512 0.688393i 0.0135907 0.0282213i
\(596\) −5.76947 25.2777i −0.236327 1.03542i
\(597\) 8.39968i 0.343776i
\(598\) −2.63233 + 0.600811i −0.107644 + 0.0245690i
\(599\) 29.1262 + 23.2274i 1.19007 + 0.949045i 0.999468 0.0326228i \(-0.0103860\pi\)
0.190598 + 0.981668i \(0.438957\pi\)
\(600\) −1.17001 + 5.12616i −0.0477656 + 0.209275i
\(601\) 24.6827 + 5.63366i 1.00683 + 0.229802i 0.693974 0.720000i \(-0.255858\pi\)
0.312853 + 0.949802i \(0.398715\pi\)
\(602\) −1.01349 1.27088i −0.0413069 0.0517972i
\(603\) 12.4922 + 6.01591i 0.508721 + 0.244987i
\(604\) −76.7205 + 36.9466i −3.12171 + 1.50334i
\(605\) 5.27061 6.60913i 0.214281 0.268699i
\(606\) −8.43695 + 6.72824i −0.342728 + 0.273316i
\(607\) −12.9416 26.8735i −0.525284 1.09076i −0.979792 0.200020i \(-0.935899\pi\)
0.454508 0.890743i \(-0.349815\pi\)
\(608\) 6.84883 0.277757
\(609\) −0.0160520 + 0.177027i −0.000650459 + 0.00717351i
\(610\) −23.9561 −0.969953
\(611\) −4.04880 8.40743i −0.163797 0.340128i
\(612\) −41.2793 + 32.9191i −1.66862 + 1.33068i
\(613\) −19.6951 + 24.6968i −0.795477 + 0.997496i 0.204350 + 0.978898i \(0.434492\pi\)
−0.999827 + 0.0185984i \(0.994080\pi\)
\(614\) 32.5353 15.6682i 1.31302 0.632316i
\(615\) −6.81406 3.28148i −0.274769 0.132322i
\(616\) −1.27713 1.60147i −0.0514570 0.0645250i
\(617\) 18.7914 + 4.28901i 0.756513 + 0.172669i 0.583346 0.812224i \(-0.301743\pi\)
0.173166 + 0.984893i \(0.444600\pi\)
\(618\) −2.33638 + 10.2364i −0.0939831 + 0.411767i
\(619\) −35.1133 28.0019i −1.41132 1.12549i −0.974095 0.226141i \(-0.927389\pi\)
−0.437228 0.899351i \(-0.644040\pi\)
\(620\) −61.8454 + 14.1158i −2.48377 + 0.566905i
\(621\) 3.00443i 0.120564i
\(622\) 0.817784 + 3.58294i 0.0327901 + 0.143663i
\(623\) −0.221555 + 0.460064i −0.00887641 + 0.0184321i
\(624\) −1.55060 + 3.21985i −0.0620736 + 0.128897i
\(625\) 6.79624 + 29.7763i 0.271850 + 1.19105i
\(626\) 74.8168i 2.99028i
\(627\) −1.15489 + 0.263596i −0.0461218 + 0.0105270i
\(628\) −35.3129 28.1611i −1.40914 1.12375i
\(629\) 2.70766 11.8630i 0.107962 0.473011i
\(630\) 1.38071 + 0.315139i 0.0550089 + 0.0125554i
\(631\) 23.7685 + 29.8047i 0.946208 + 1.18651i 0.982329 + 0.187160i \(0.0599283\pi\)
−0.0361213 + 0.999347i \(0.511500\pi\)
\(632\) 85.7475 + 41.2938i 3.41085 + 1.64258i
\(633\) 7.08282 3.41091i 0.281517 0.135571i
\(634\) 36.2167 45.4144i 1.43835 1.80363i
\(635\) −11.7772 + 9.39196i −0.467362 + 0.372709i
\(636\) 5.05481 + 10.4964i 0.200436 + 0.416210i
\(637\) 6.16199 0.244147
\(638\) 36.6187 38.2490i 1.44975 1.51429i
\(639\) −13.7733 −0.544864
\(640\) 2.52197 + 5.23692i 0.0996894 + 0.207007i
\(641\) 28.9085 23.0537i 1.14182 0.910568i 0.144931 0.989442i \(-0.453704\pi\)
0.996885 + 0.0788740i \(0.0251325\pi\)
\(642\) 3.47039 4.35173i 0.136965 0.171749i
\(643\) −15.3942 + 7.41345i −0.607088 + 0.292358i −0.712062 0.702117i \(-0.752238\pi\)
0.104974 + 0.994475i \(0.466524\pi\)
\(644\) 0.380457 + 0.183219i 0.0149921 + 0.00721982i
\(645\) 5.87640 + 7.36877i 0.231383 + 0.290145i
\(646\) 7.13566 + 1.62867i 0.280749 + 0.0640791i
\(647\) 1.37815 6.03807i 0.0541807 0.237381i −0.940586 0.339556i \(-0.889723\pi\)
0.994766 + 0.102175i \(0.0325802\pi\)
\(648\) −41.1836 32.8428i −1.61784 1.29019i
\(649\) −36.5373 + 8.33940i −1.43421 + 0.327350i
\(650\) 3.80270i 0.149154i
\(651\) −0.0378330 0.165757i −0.00148279 0.00649654i
\(652\) −21.6559 + 44.9689i −0.848110 + 1.76112i
\(653\) 6.83735 14.1979i 0.267566 0.555607i −0.723287 0.690547i \(-0.757370\pi\)
0.990854 + 0.134940i \(0.0430841\pi\)
\(654\) −1.10271 4.83131i −0.0431195 0.188919i
\(655\) 17.0938i 0.667909i
\(656\) 60.0525 13.7066i 2.34466 0.535152i
\(657\) −19.5365 15.5799i −0.762193 0.607829i
\(658\) −0.460841 + 2.01908i −0.0179654 + 0.0787118i
\(659\) −16.1942 3.69622i −0.630836 0.143984i −0.104865 0.994486i \(-0.533441\pi\)
−0.525971 + 0.850502i \(0.676298\pi\)
\(660\) 12.7464 + 15.9834i 0.496151 + 0.622154i
\(661\) 36.0749 + 17.3728i 1.40315 + 0.675722i 0.973798 0.227414i \(-0.0730271\pi\)
0.429354 + 0.903136i \(0.358741\pi\)
\(662\) 21.9220 10.5571i 0.852021 0.410312i
\(663\) −0.951083 + 1.19262i −0.0369370 + 0.0463175i
\(664\) 95.8289 76.4210i 3.71888 2.96571i
\(665\) −0.0600273 0.124648i −0.00232776 0.00483364i
\(666\) 22.5542 0.873959
\(667\) −1.96375 + 6.03009i −0.0760367 + 0.233486i
\(668\) 0.813440 0.0314729
\(669\) −3.37989 7.01841i −0.130674 0.271347i
\(670\) −25.9342 + 20.6819i −1.00193 + 0.799010i
\(671\) −8.40381 + 10.5380i −0.324426 + 0.406817i
\(672\) 0.285417 0.137450i 0.0110102 0.00530224i
\(673\) −11.9148 5.73786i −0.459282 0.221178i 0.189913 0.981801i \(-0.439180\pi\)
−0.649194 + 0.760623i \(0.724894\pi\)
\(674\) 25.0383 + 31.3971i 0.964441 + 1.20937i
\(675\) −4.12534 0.941583i −0.158785 0.0362415i
\(676\) −12.9820 + 56.8780i −0.499309 + 2.18761i
\(677\) −18.6155 14.8453i −0.715450 0.570553i 0.196673 0.980469i \(-0.436986\pi\)
−0.912123 + 0.409917i \(0.865558\pi\)
\(678\) −5.04183 + 1.15076i −0.193630 + 0.0441948i
\(679\) 0.857779i 0.0329185i
\(680\) −16.3290 71.5421i −0.626189 2.74352i
\(681\) 4.23402 8.79204i 0.162248 0.336912i
\(682\) −21.9754 + 45.6325i −0.841483 + 1.74736i
\(683\) −6.40121 28.0455i −0.244935 1.07313i −0.936459 0.350778i \(-0.885917\pi\)
0.691523 0.722354i \(-0.256940\pi\)
\(684\) 9.56022i 0.365544i
\(685\) 3.92153 0.895065i 0.149834 0.0341987i
\(686\) −2.13927 1.70601i −0.0816779 0.0651359i
\(687\) −0.974504 + 4.26958i −0.0371796 + 0.162895i
\(688\) −74.8371 17.0811i −2.85314 0.651210i
\(689\) −3.05191 3.82697i −0.116268 0.145796i
\(690\) −3.13036 1.50750i −0.119171 0.0573896i
\(691\) −24.4267 + 11.7633i −0.929235 + 0.447496i −0.836359 0.548182i \(-0.815320\pi\)
−0.0928757 + 0.995678i \(0.529606\pi\)
\(692\) −35.9151 + 45.0361i −1.36529 + 1.71202i
\(693\) 0.622982 0.496811i 0.0236651 0.0188723i
\(694\) −10.6134 22.0389i −0.402878 0.836585i
\(695\) −27.4598 −1.04161
\(696\) 9.39532 + 14.2540i 0.356129 + 0.540297i
\(697\) 26.2919 0.995875
\(698\) 27.6725 + 57.4625i 1.04742 + 2.17499i
\(699\) 6.89604 5.49941i 0.260832 0.208007i
\(700\) −0.370809 + 0.464980i −0.0140153 + 0.0175746i
\(701\) −22.0841 + 10.6352i −0.834106 + 0.401684i −0.801654 0.597789i \(-0.796046\pi\)
−0.0324526 + 0.999473i \(0.510332\pi\)
\(702\) −5.27004 2.53792i −0.198905 0.0957876i
\(703\) −1.37373 1.72261i −0.0518113 0.0649693i
\(704\) −23.9808 5.47346i −0.903810 0.206289i
\(705\) 2.67203 11.7069i 0.100634 0.440908i
\(706\) 49.1323 + 39.1817i 1.84912 + 1.47462i
\(707\) −0.691328 + 0.157791i −0.0260001 + 0.00593435i
\(708\) 20.7981i 0.781641i
\(709\) 3.69194 + 16.1754i 0.138654 + 0.607481i 0.995732 + 0.0922948i \(0.0294202\pi\)
−0.857078 + 0.515187i \(0.827723\pi\)
\(710\) 14.2970 29.6880i 0.536556 1.11417i
\(711\) −16.0636 + 33.3563i −0.602431 + 1.25096i
\(712\) 10.9129 + 47.8127i 0.408980 + 1.79186i
\(713\) 6.06588i 0.227169i
\(714\) 0.330056 0.0753332i 0.0123521 0.00281928i
\(715\) −6.71553 5.35546i −0.251147 0.200283i
\(716\) 1.77871 7.79303i 0.0664735 0.291239i
\(717\) 0.505787 + 0.115443i 0.0188890 + 0.00431128i
\(718\) −24.7367 31.0189i −0.923166 1.15761i
\(719\) −36.4909 17.5731i −1.36088 0.655365i −0.396047 0.918230i \(-0.629618\pi\)
−0.964833 + 0.262865i \(0.915333\pi\)
\(720\) 60.2550 29.0173i 2.24557 1.08141i
\(721\) −0.430172 + 0.539418i −0.0160204 + 0.0200890i
\(722\) −37.6226 + 30.0030i −1.40017 + 1.11660i
\(723\) 2.25527 + 4.68312i 0.0838745 + 0.174167i
\(724\) 73.3212 2.72496
\(725\) −7.66439 4.58621i −0.284648 0.170328i
\(726\) 3.74559 0.139012
\(727\) −13.7670 28.5876i −0.510592 1.06025i −0.983794 0.179301i \(-0.942616\pi\)
0.473203 0.880954i \(-0.343098\pi\)
\(728\) −0.373413 + 0.297787i −0.0138396 + 0.0110367i
\(729\) 10.6795 13.3917i 0.395538 0.495990i
\(730\) 53.8612 25.9382i 1.99349 0.960016i
\(731\) −29.5200 14.2161i −1.09184 0.525801i
\(732\) −4.66376 5.84817i −0.172378 0.216155i
\(733\) −1.45205 0.331420i −0.0536325 0.0122413i 0.195620 0.980680i \(-0.437328\pi\)
−0.249253 + 0.968438i \(0.580185\pi\)
\(734\) 7.41362 32.4812i 0.273642 1.19890i
\(735\) 6.19942 + 4.94388i 0.228669 + 0.182358i
\(736\) 11.0189 2.51498i 0.406161 0.0927035i
\(737\) 18.6634i 0.687476i
\(738\) 10.8442 + 47.5114i 0.399180 + 1.74892i
\(739\) 15.9342 33.0877i 0.586149 1.21715i −0.371290 0.928517i \(-0.621084\pi\)
0.957439 0.288635i \(-0.0932013\pi\)
\(740\) −16.4982 + 34.2588i −0.606485 + 1.25938i
\(741\) 0.0614623 + 0.269284i 0.00225787 + 0.00989240i
\(742\) 1.08635i 0.0398810i
\(743\) −30.3940 + 6.93724i −1.11505 + 0.254503i −0.740070 0.672530i \(-0.765208\pi\)
−0.374980 + 0.927033i \(0.622350\pi\)
\(744\) −12.7666 10.1810i −0.468047 0.373255i
\(745\) −3.11935 + 13.6668i −0.114284 + 0.500711i
\(746\) 0.0496646 + 0.0113356i 0.00181835 + 0.000415026i
\(747\) 29.7283 + 37.2781i 1.08770 + 1.36393i
\(748\) −64.0313 30.8358i −2.34121 1.12747i
\(749\) 0.329532 0.158694i 0.0120408 0.00579857i
\(750\) −6.14654 + 7.70752i −0.224440 + 0.281439i
\(751\) −35.4169 + 28.2441i −1.29238 + 1.03064i −0.295214 + 0.955431i \(0.595391\pi\)
−0.997168 + 0.0752090i \(0.976038\pi\)
\(752\) 42.4332 + 88.1135i 1.54738 + 3.21317i
\(753\) −3.36752 −0.122719
\(754\) −8.91848 8.53835i −0.324792 0.310948i
\(755\) 46.0393 1.67554
\(756\) 0.396923 + 0.824220i 0.0144360 + 0.0299766i
\(757\) 14.7659 11.7754i 0.536677 0.427985i −0.317278 0.948333i \(-0.602769\pi\)
0.853955 + 0.520347i \(0.174197\pi\)
\(758\) −8.49546 + 10.6530i −0.308569 + 0.386933i
\(759\) −1.76127 + 0.848181i −0.0639299 + 0.0307870i
\(760\) −11.9715 5.76517i −0.434252 0.209125i
\(761\) 10.8655 + 13.6249i 0.393875 + 0.493904i 0.938743 0.344618i \(-0.111992\pi\)
−0.544868 + 0.838522i \(0.683420\pi\)
\(762\) −6.50712 1.48521i −0.235728 0.0538034i
\(763\) 0.0724607 0.317471i 0.00262325 0.0114932i
\(764\) 76.4135 + 60.9377i 2.76454 + 2.20465i
\(765\) 27.8304 6.35210i 1.00621 0.229661i
\(766\) 0.715264i 0.0258435i
\(767\) 1.94449 + 8.51936i 0.0702114 + 0.307616i
\(768\) −3.59939 + 7.47421i −0.129882 + 0.269702i
\(769\) 11.8438 24.5938i 0.427097 0.886875i −0.570740 0.821131i \(-0.693344\pi\)
0.997836 0.0657444i \(-0.0209422\pi\)
\(770\) 0.424195 + 1.85852i 0.0152869 + 0.0669763i
\(771\) 4.99650i 0.179945i
\(772\) −14.5845 + 3.32882i −0.524908 + 0.119807i
\(773\) 4.61107 + 3.67721i 0.165849 + 0.132260i 0.702897 0.711291i \(-0.251889\pi\)
−0.537049 + 0.843551i \(0.680461\pi\)
\(774\) 13.5140 59.2085i 0.485749 2.12821i
\(775\) 8.32896 + 1.90103i 0.299185 + 0.0682871i
\(776\) −51.3650 64.4097i −1.84390 2.31217i
\(777\) −0.0918199 0.0442181i −0.00329402 0.00158632i
\(778\) −17.6721 + 8.51044i −0.633576 + 0.305114i
\(779\) 2.96825 3.72206i 0.106348 0.133357i
\(780\) 3.72684 2.97206i 0.133442 0.106417i
\(781\) −8.04406 16.7037i −0.287839 0.597704i
\(782\) 12.0784 0.431923
\(783\) −11.4711 + 7.56100i −0.409943 + 0.270208i
\(784\) −64.5804 −2.30644
\(785\) 10.5955 + 22.0017i 0.378169 + 0.785276i
\(786\) −5.92162 + 4.72233i −0.211217 + 0.168440i
\(787\) 27.3074 34.2424i 0.973403 1.22061i −0.00195882 0.999998i \(-0.500624\pi\)
0.975362 0.220611i \(-0.0708051\pi\)
\(788\) 12.2139 5.88188i 0.435101 0.209533i
\(789\) 6.62875 + 3.19224i 0.235990 + 0.113647i
\(790\) −55.2243 69.2491i −1.96479 2.46377i
\(791\) −0.331305 0.0756181i −0.0117798 0.00268867i
\(792\) 17.0293 74.6101i 0.605108 2.65115i
\(793\) 2.45714 + 1.95951i 0.0872558 + 0.0695842i
\(794\) 42.4584 9.69086i 1.50679 0.343916i
\(795\) 6.29881i 0.223396i
\(796\) −20.3047 88.9609i −0.719683 3.15314i
\(797\) 15.9099 33.0373i 0.563558 1.17024i −0.403333 0.915053i \(-0.632148\pi\)
0.966892 0.255188i \(-0.0821373\pi\)
\(798\) 0.0265973 0.0552300i 0.000941536 0.00195512i
\(799\) 9.28894 + 40.6975i 0.328619 + 1.43977i
\(800\) 15.9180i 0.562787i
\(801\) −18.5995 + 4.24521i −0.657180 + 0.149997i
\(802\) −16.3943 13.0740i −0.578903 0.461660i
\(803\) 7.48460 32.7922i 0.264126 1.15721i
\(804\) −10.0977 2.30474i −0.356120 0.0812820i
\(805\) −0.142348 0.178499i −0.00501712 0.00629128i
\(806\) 10.6401 + 5.12399i 0.374781 + 0.180485i
\(807\) −8.68202 + 4.18104i −0.305622 + 0.147180i
\(808\) −42.4623 + 53.2461i −1.49382 + 1.87319i
\(809\) −14.6770 + 11.7045i −0.516014 + 0.411508i −0.846569 0.532279i \(-0.821336\pi\)
0.330555 + 0.943787i \(0.392764\pi\)
\(810\) 21.2703 + 44.1682i 0.747361 + 1.55191i
\(811\) 33.9249 1.19127 0.595633 0.803257i \(-0.296901\pi\)
0.595633 + 0.803257i \(0.296901\pi\)
\(812\) 0.257926 + 1.91370i 0.00905142 + 0.0671576i
\(813\) 2.87517 0.100837
\(814\) 13.1724 + 27.3528i 0.461692 + 0.958714i
\(815\) 21.0981 16.8252i 0.739034 0.589360i
\(816\) 9.96776 12.4992i 0.348941 0.437559i
\(817\) −5.34522 + 2.57412i −0.187006 + 0.0900572i
\(818\) 22.2833 + 10.7311i 0.779116 + 0.375203i
\(819\) −0.115841 0.145260i −0.00404781 0.00507579i
\(820\) −80.1000 18.2823i −2.79721 0.638446i
\(821\) −2.78555 + 12.2043i −0.0972164 + 0.425933i −0.999991 0.00418046i \(-0.998669\pi\)
0.902775 + 0.430113i \(0.141526\pi\)
\(822\) 1.39343 + 1.11123i 0.0486015 + 0.0387584i
\(823\) −26.9873 + 6.15968i −0.940719 + 0.214713i −0.665270 0.746603i \(-0.731684\pi\)
−0.275449 + 0.961316i \(0.588826\pi\)
\(824\) 66.2636i 2.30840i
\(825\) −0.612648 2.68419i −0.0213297 0.0934514i
\(826\) 0.841463 1.74732i 0.0292782 0.0607969i
\(827\) 12.8211 26.6233i 0.445834 0.925783i −0.550049 0.835132i \(-0.685391\pi\)
0.995883 0.0906506i \(-0.0288946\pi\)
\(828\) 3.51064 + 15.3811i 0.122003 + 0.534531i
\(829\) 1.28760i 0.0447203i 0.999750 + 0.0223601i \(0.00711805\pi\)
−0.999750 + 0.0223601i \(0.992882\pi\)
\(830\) −111.210 + 25.3830i −3.86017 + 0.881058i
\(831\) 7.39451 + 5.89692i 0.256513 + 0.204562i
\(832\) −1.27624 + 5.59157i −0.0442457 + 0.193853i
\(833\) −26.8742 6.13387i −0.931137 0.212526i
\(834\) −7.58605 9.51260i −0.262683 0.329395i
\(835\) −0.396244 0.190821i −0.0137126 0.00660364i
\(836\) −11.5942 + 5.58348i −0.400994 + 0.193109i
\(837\) 8.19332 10.2741i 0.283203 0.355125i
\(838\) 47.3020 37.7221i 1.63402 1.30309i
\(839\) 7.09451 + 14.7319i 0.244930 + 0.508602i 0.986800 0.161941i \(-0.0517755\pi\)
−0.741871 + 0.670543i \(0.766061\pi\)
\(840\) −0.614600 −0.0212057
\(841\) −27.9652 + 7.67770i −0.964318 + 0.264748i
\(842\) −45.4209 −1.56531
\(843\) 1.65787 + 3.44260i 0.0571000 + 0.118569i
\(844\) 66.7688 53.2464i 2.29828 1.83282i
\(845\) 19.6666 24.6611i 0.676550 0.848367i
\(846\) −69.7124 + 33.5717i −2.39676 + 1.15422i
\(847\) 0.221753 + 0.106791i 0.00761953 + 0.00366937i
\(848\) 31.9853 + 40.1083i 1.09838 + 1.37732i
\(849\) 9.41826 + 2.14966i 0.323234 + 0.0737760i
\(850\) −3.78534 + 16.5847i −0.129836 + 0.568849i
\(851\) −2.84272 2.26699i −0.0974471 0.0777115i
\(852\) 10.0308 2.28946i 0.343649 0.0784356i
\(853\) 51.4321i 1.76100i 0.474045 + 0.880501i \(0.342793\pi\)
−0.474045 + 0.880501i \(0.657207\pi\)
\(854\) −0.155208 0.680013i −0.00531112 0.0232696i
\(855\) 2.24269 4.65699i 0.0766983 0.159266i
\(856\) 15.2414 31.6491i 0.520940 1.08174i
\(857\) 4.32274 + 18.9392i 0.147662 + 0.646950i 0.993531 + 0.113560i \(0.0362253\pi\)
−0.845869 + 0.533391i \(0.820918\pi\)
\(858\) 3.80589i 0.129931i
\(859\) 23.3220 5.32310i 0.795738 0.181622i 0.194721 0.980859i \(-0.437620\pi\)
0.601016 + 0.799237i \(0.294763\pi\)
\(860\) 80.0495 + 63.8374i 2.72967 + 2.17684i
\(861\) 0.0489999 0.214683i 0.00166991 0.00731637i
\(862\) 83.1817 + 18.9857i 2.83318 + 0.646655i
\(863\) 17.7296 + 22.2323i 0.603524 + 0.756795i 0.985923 0.167202i \(-0.0534733\pi\)
−0.382399 + 0.923997i \(0.624902\pi\)
\(864\) 22.0603 + 10.6237i 0.750506 + 0.361425i
\(865\) 28.0598 13.5129i 0.954063 0.459452i
\(866\) 8.14683 10.2158i 0.276840 0.347147i
\(867\) −0.504190 + 0.402078i −0.0171232 + 0.0136553i
\(868\) −0.801378 1.66408i −0.0272005 0.0564825i
\(869\) −49.8347 −1.69053
\(870\) −2.12218 15.7457i −0.0719487 0.533828i
\(871\) 4.35173 0.147453
\(872\) −13.5696 28.1776i −0.459526 0.954215i
\(873\) 25.0558 19.9813i 0.848010 0.676266i
\(874\) 1.36360 1.70990i 0.0461245 0.0578384i
\(875\) −0.583648 + 0.281070i −0.0197309 + 0.00950190i
\(876\) 16.8177 + 8.09900i 0.568219 + 0.273640i
\(877\) −2.31381 2.90142i −0.0781317 0.0979741i 0.741229 0.671252i \(-0.234243\pi\)
−0.819361 + 0.573278i \(0.805672\pi\)
\(878\) −54.2175 12.3748i −1.82975 0.417629i
\(879\) 0.217627 0.953488i 0.00734039 0.0321604i
\(880\) 70.3817 + 56.1276i 2.37257 + 1.89206i
\(881\) −11.6270 + 2.65378i −0.391722 + 0.0894080i −0.413845 0.910347i \(-0.635815\pi\)
0.0221232 + 0.999755i \(0.492957\pi\)
\(882\) 51.0938i 1.72042i
\(883\) 1.31269 + 5.75129i 0.0441757 + 0.193546i 0.992201 0.124649i \(-0.0397804\pi\)
−0.948025 + 0.318195i \(0.896923\pi\)
\(884\) −7.18996 + 14.9301i −0.241824 + 0.502154i
\(885\) −4.87893 + 10.1312i −0.164004 + 0.340557i
\(886\) 23.0650 + 101.054i 0.774883 + 3.39498i
\(887\) 24.5541i 0.824445i −0.911083 0.412223i \(-0.864753\pi\)
0.911083 0.412223i \(-0.135247\pi\)
\(888\) −9.54251 + 2.17802i −0.320226 + 0.0730894i
\(889\) −0.342901 0.273455i −0.0115005 0.00917137i
\(890\) 10.1562 44.4972i 0.340436 1.49155i
\(891\) 26.8908 + 6.13765i 0.900875 + 0.205619i
\(892\) −52.7621 66.1616i −1.76661 2.21526i
\(893\) 6.81012 + 3.27958i 0.227892 + 0.109747i
\(894\) −5.59618 + 2.69498i −0.187164 + 0.0901336i
\(895\) −2.69458 + 3.37889i −0.0900698 + 0.112944i
\(896\) −0.132315 + 0.105517i −0.00442032 + 0.00352509i
\(897\) 0.197769 + 0.410673i 0.00660333 + 0.0137120i
\(898\) −25.8334 −0.862072
\(899\) 23.1598 15.2655i 0.772424 0.509132i
\(900\) −22.2198 −0.740661
\(901\) 9.50074 + 19.7285i 0.316515 + 0.657251i
\(902\) −51.2864 + 40.8995i −1.70765 + 1.36181i
\(903\) −0.171096 + 0.214548i −0.00569372 + 0.00713970i
\(904\) −29.4054 + 14.1609i −0.978010 + 0.470985i
\(905\) −35.7163 17.2001i −1.18725 0.571750i
\(906\) 12.7188 + 15.9489i 0.422555 + 0.529867i
\(907\) −39.2077 8.94890i −1.30187 0.297143i −0.485279 0.874359i \(-0.661282\pi\)
−0.816592 + 0.577216i \(0.804139\pi\)
\(908\) 23.5893 103.351i 0.782838 3.42984i
\(909\) −20.7131 16.5181i −0.687010 0.547872i
\(910\) 0.433349 0.0989090i 0.0143654 0.00327880i
\(911\) 13.5344i 0.448415i 0.974541 + 0.224208i \(0.0719794\pi\)
−0.974541 + 0.224208i \(0.928021\pi\)
\(912\) −0.644152 2.82221i −0.0213300 0.0934529i
\(913\) −27.8469 + 57.8247i −0.921599 + 1.91372i
\(914\) −16.5133 + 34.2902i −0.546211 + 1.13422i
\(915\) 0.899923 + 3.94282i 0.0297505 + 0.130346i
\(916\) 47.5748i 1.57191i
\(917\) −0.485221 + 0.110748i −0.0160234 + 0.00365724i
\(918\) 20.4578 + 16.3146i 0.675209 + 0.538461i
\(919\) −12.2637 + 53.7307i −0.404542 + 1.77241i 0.204082 + 0.978954i \(0.434579\pi\)
−0.608624 + 0.793459i \(0.708278\pi\)
\(920\) −21.3776 4.87930i −0.704798 0.160866i
\(921\) −3.80096 4.76625i −0.125246 0.157053i
\(922\) −44.2032 21.2871i −1.45576 0.701055i
\(923\) −3.89478 + 1.87563i −0.128198 + 0.0617370i
\(924\) −0.371121 + 0.465370i −0.0122090 + 0.0153096i
\(925\) 4.00367 3.19282i 0.131640 0.104979i
\(926\) −40.0836 83.2345i −1.31723 2.73525i
\(927\) −25.7770 −0.846627
\(928\) 37.3326 + 35.7414i 1.22550 + 1.17327i
\(929\) 4.05714 0.133111 0.0665553 0.997783i \(-0.478799\pi\)
0.0665553 + 0.997783i \(0.478799\pi\)
\(930\) 6.59364 + 13.6918i 0.216214 + 0.448973i
\(931\) −3.90235 + 3.11202i −0.127894 + 0.101992i
\(932\) 59.7421 74.9142i 1.95692 2.45390i
\(933\) 0.558980 0.269190i 0.0183002 0.00881290i
\(934\) 14.2274 + 6.85157i 0.465536 + 0.224190i
\(935\) 23.9574 + 30.0416i 0.783489 + 0.982465i
\(936\) −17.3968 3.97070i −0.568631 0.129786i
\(937\) −6.71756 + 29.4315i −0.219453 + 0.961486i 0.738431 + 0.674329i \(0.235567\pi\)
−0.957884 + 0.287157i \(0.907290\pi\)
\(938\) −0.755096 0.602169i −0.0246548 0.0196615i
\(939\) −12.3138 + 2.81053i −0.401844 + 0.0917183i
\(940\) 130.447i 4.25471i
\(941\) −1.86473 8.16992i −0.0607885 0.266332i 0.935396 0.353601i \(-0.115043\pi\)
−0.996185 + 0.0872695i \(0.972186\pi\)
\(942\) −4.69472 + 9.74869i −0.152962 + 0.317630i
\(943\) 3.40872 7.07828i 0.111003 0.230501i
\(944\) −20.3791 89.2867i −0.663283 2.90603i
\(945\) 0.494607i 0.0160896i
\(946\) 79.6980 18.1905i 2.59120 0.591426i
\(947\) −1.42752 1.13841i −0.0463883 0.0369934i 0.600021 0.799984i \(-0.295159\pi\)
−0.646410 + 0.762991i \(0.723730\pi\)
\(948\) 6.15408 26.9628i 0.199875 0.875710i
\(949\) −7.64612 1.74518i −0.248203 0.0566508i
\(950\) 1.92049 + 2.40822i 0.0623090 + 0.0781330i
\(951\) −8.83504 4.25473i −0.286496 0.137969i
\(952\) 1.92499 0.927025i 0.0623892 0.0300451i
\(953\) 29.2350 36.6596i 0.947015 1.18752i −0.0351278 0.999383i \(-0.511184\pi\)
0.982143 0.188137i \(-0.0602448\pi\)
\(954\) −31.7323 + 25.3057i −1.02737 + 0.819301i
\(955\) −22.9275 47.6095i −0.741918 1.54061i
\(956\) 5.63585 0.182276
\(957\) −7.67083 4.59006i −0.247963 0.148376i
\(958\) 9.15823 0.295889
\(959\) 0.0508143 + 0.105517i 0.00164088 + 0.00340732i
\(960\) −5.77021 + 4.60159i −0.186233 + 0.148516i
\(961\) 2.78608 3.49363i 0.0898735 0.112698i
\(962\) 6.37782 3.07139i 0.205629 0.0990257i
\(963\) 12.3117 + 5.92900i 0.396739 + 0.191059i
\(964\) 35.2062 + 44.1472i 1.13392 + 1.42188i
\(965\) 7.88531 + 1.79977i 0.253837 + 0.0579367i
\(966\) 0.0225104 0.0986246i 0.000724261 0.00317319i
\(967\) 15.7602 + 12.5683i 0.506814 + 0.404170i 0.843238 0.537540i \(-0.180646\pi\)
−0.336425 + 0.941710i \(0.609218\pi\)
\(968\) 23.0460 5.26010i 0.740726 0.169066i
\(969\) 1.23561i 0.0396934i
\(970\) 17.0608 + 74.7480i 0.547788 + 2.40001i
\(971\) 7.34078 15.2433i 0.235577 0.489180i −0.749345 0.662180i \(-0.769632\pi\)
0.984922 + 0.172999i \(0.0553459\pi\)
\(972\) −22.4907 + 46.7024i −0.721390 + 1.49798i
\(973\) −0.177908 0.779468i −0.00570348 0.0249886i
\(974\) 20.5006i 0.656881i
\(975\) −0.625869 + 0.142850i −0.0200438 + 0.00457488i
\(976\) −25.7520 20.5365i −0.824300 0.657357i
\(977\) 0.230599 1.01032i 0.00737753 0.0323231i −0.971105 0.238652i \(-0.923295\pi\)
0.978483 + 0.206329i \(0.0661517\pi\)
\(978\) 11.6571 + 2.66067i 0.372754 + 0.0850787i
\(979\) −16.0111 20.0773i −0.511716 0.641672i
\(980\) 77.6090 + 37.3745i 2.47913 + 1.19389i
\(981\) 10.9613 5.27867i 0.349967 0.168535i
\(982\) 35.4217 44.4174i 1.13035 1.41742i
\(983\) 12.6896 10.1196i 0.404735 0.322766i −0.399874 0.916570i \(-0.630946\pi\)
0.804609 + 0.593804i \(0.202375\pi\)
\(984\) −9.17616 19.0545i −0.292525 0.607435i
\(985\) −7.32943 −0.233535
\(986\) 30.3967 + 46.1160i 0.968027 + 1.46863i
\(987\) 0.349622 0.0111286
\(988\) 1.30189 + 2.70341i 0.0414188 + 0.0860069i
\(989\) −7.65451 + 6.10426i −0.243399 + 0.194104i
\(990\) −44.4062 + 55.6836i −1.41132 + 1.76974i
\(991\) 33.4640 16.1154i 1.06302 0.511922i 0.181168 0.983452i \(-0.442012\pi\)
0.881850 + 0.471530i \(0.156298\pi\)
\(992\) −44.5392 21.4489i −1.41412 0.681004i
\(993\) −2.56105 3.21145i −0.0812724 0.101912i
\(994\) 0.935346 + 0.213487i 0.0296674 + 0.00677138i
\(995\) −10.9780 + 48.0980i −0.348027 + 1.52481i
\(996\) −27.8469 22.2072i −0.882363 0.703661i
\(997\) −35.2311 + 8.04128i −1.11578 + 0.254670i −0.740377 0.672192i \(-0.765353\pi\)
−0.375404 + 0.926861i \(0.622496\pi\)
\(998\) 77.0621i 2.43936i
\(999\) −1.75279 7.67945i −0.0554557 0.242967i
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 29.2.e.a.9.1 12
3.2 odd 2 261.2.o.a.154.2 12
4.3 odd 2 464.2.y.d.241.1 12
5.2 odd 4 725.2.p.a.299.4 24
5.3 odd 4 725.2.p.a.299.1 24
5.4 even 2 725.2.q.a.676.2 12
29.2 odd 28 841.2.d.k.645.1 24
29.3 odd 28 841.2.d.l.574.4 24
29.4 even 14 841.2.b.e.840.1 12
29.5 even 14 841.2.e.e.196.1 12
29.6 even 14 841.2.e.h.63.2 12
29.7 even 7 841.2.e.h.267.2 12
29.8 odd 28 841.2.d.k.605.4 24
29.9 even 14 841.2.e.f.236.2 12
29.10 odd 28 841.2.a.k.1.1 12
29.11 odd 28 841.2.d.m.190.1 24
29.12 odd 4 841.2.d.m.571.4 24
29.13 even 14 inner 29.2.e.a.13.1 yes 12
29.14 odd 28 841.2.d.l.778.4 24
29.15 odd 28 841.2.d.l.778.1 24
29.16 even 7 841.2.e.i.651.2 12
29.17 odd 4 841.2.d.m.571.1 24
29.18 odd 28 841.2.d.m.190.4 24
29.19 odd 28 841.2.a.k.1.12 12
29.20 even 7 841.2.e.e.236.1 12
29.21 odd 28 841.2.d.k.605.1 24
29.22 even 14 841.2.e.a.267.1 12
29.23 even 7 841.2.e.a.63.1 12
29.24 even 7 841.2.e.f.196.2 12
29.25 even 7 841.2.b.e.840.12 12
29.26 odd 28 841.2.d.l.574.1 24
29.27 odd 28 841.2.d.k.645.4 24
29.28 even 2 841.2.e.i.270.2 12
87.68 even 28 7569.2.a.bp.1.12 12
87.71 odd 14 261.2.o.a.100.2 12
87.77 even 28 7569.2.a.bp.1.1 12
116.71 odd 14 464.2.y.d.129.1 12
145.13 odd 28 725.2.p.a.274.4 24
145.42 odd 28 725.2.p.a.274.1 24
145.129 even 14 725.2.q.a.651.2 12
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
29.2.e.a.9.1 12 1.1 even 1 trivial
29.2.e.a.13.1 yes 12 29.13 even 14 inner
261.2.o.a.100.2 12 87.71 odd 14
261.2.o.a.154.2 12 3.2 odd 2
464.2.y.d.129.1 12 116.71 odd 14
464.2.y.d.241.1 12 4.3 odd 2
725.2.p.a.274.1 24 145.42 odd 28
725.2.p.a.274.4 24 145.13 odd 28
725.2.p.a.299.1 24 5.3 odd 4
725.2.p.a.299.4 24 5.2 odd 4
725.2.q.a.651.2 12 145.129 even 14
725.2.q.a.676.2 12 5.4 even 2
841.2.a.k.1.1 12 29.10 odd 28
841.2.a.k.1.12 12 29.19 odd 28
841.2.b.e.840.1 12 29.4 even 14
841.2.b.e.840.12 12 29.25 even 7
841.2.d.k.605.1 24 29.21 odd 28
841.2.d.k.605.4 24 29.8 odd 28
841.2.d.k.645.1 24 29.2 odd 28
841.2.d.k.645.4 24 29.27 odd 28
841.2.d.l.574.1 24 29.26 odd 28
841.2.d.l.574.4 24 29.3 odd 28
841.2.d.l.778.1 24 29.15 odd 28
841.2.d.l.778.4 24 29.14 odd 28
841.2.d.m.190.1 24 29.11 odd 28
841.2.d.m.190.4 24 29.18 odd 28
841.2.d.m.571.1 24 29.17 odd 4
841.2.d.m.571.4 24 29.12 odd 4
841.2.e.a.63.1 12 29.23 even 7
841.2.e.a.267.1 12 29.22 even 14
841.2.e.e.196.1 12 29.5 even 14
841.2.e.e.236.1 12 29.20 even 7
841.2.e.f.196.2 12 29.24 even 7
841.2.e.f.236.2 12 29.9 even 14
841.2.e.h.63.2 12 29.6 even 14
841.2.e.h.267.2 12 29.7 even 7
841.2.e.i.270.2 12 29.28 even 2
841.2.e.i.651.2 12 29.16 even 7
7569.2.a.bp.1.1 12 87.77 even 28
7569.2.a.bp.1.12 12 87.68 even 28