Properties

Label 483.2.q.f.85.7
Level $483$
Weight $2$
Character 483.85
Analytic conductor $3.857$
Analytic rank $0$
Dimension $80$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [483,2,Mod(64,483)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(483, base_ring=CyclotomicField(22))
 
chi = DirichletCharacter(H, H._module([0, 0, 12]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("483.64");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 483 = 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 483.q (of order \(11\), degree \(10\), 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: \(3.85677441763\)
Analytic rank: \(0\)
Dimension: \(80\)
Relative dimension: \(8\) over \(\Q(\zeta_{11})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{11}]$

Embedding invariants

Embedding label 85.7
Character \(\chi\) \(=\) 483.85
Dual form 483.2.q.f.358.7

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(1.32935 - 1.53415i) q^{2} +(0.841254 - 0.540641i) q^{3} +(-0.301820 - 2.09921i) q^{4} +(-1.44923 - 3.17337i) q^{5} +(0.288895 - 2.00931i) q^{6} +(0.959493 - 0.281733i) q^{7} +(-0.206281 - 0.132568i) q^{8} +(0.415415 - 0.909632i) q^{9} +O(q^{10})\) \(q+(1.32935 - 1.53415i) q^{2} +(0.841254 - 0.540641i) q^{3} +(-0.301820 - 2.09921i) q^{4} +(-1.44923 - 3.17337i) q^{5} +(0.288895 - 2.00931i) q^{6} +(0.959493 - 0.281733i) q^{7} +(-0.206281 - 0.132568i) q^{8} +(0.415415 - 0.909632i) q^{9} +(-6.79496 - 1.99518i) q^{10} +(3.23543 + 3.73389i) q^{11} +(-1.38882 - 1.60279i) q^{12} +(-4.60315 - 1.35161i) q^{13} +(0.843282 - 1.84653i) q^{14} +(-2.93482 - 1.88609i) q^{15} +(3.59217 - 1.05476i) q^{16} +(-0.250408 + 1.74163i) q^{17} +(-0.843282 - 1.84653i) q^{18} +(-0.378369 - 2.63162i) q^{19} +(-6.22414 + 4.00001i) q^{20} +(0.654861 - 0.755750i) q^{21} +10.0294 q^{22} +(-4.79382 + 0.138724i) q^{23} -0.245206 q^{24} +(-4.69569 + 5.41911i) q^{25} +(-8.19277 + 5.26517i) q^{26} +(-0.142315 - 0.989821i) q^{27} +(-0.881009 - 1.92914i) q^{28} +(-1.22313 + 8.50709i) q^{29} +(-6.79496 + 1.99518i) q^{30} +(5.57894 + 3.58537i) q^{31} +(3.36082 - 7.35917i) q^{32} +(4.74051 + 1.39194i) q^{33} +(2.33904 + 2.69940i) q^{34} +(-2.28456 - 2.63653i) q^{35} +(-2.03489 - 0.597496i) q^{36} +(3.85900 - 8.45004i) q^{37} +(-4.54028 - 2.91786i) q^{38} +(-4.60315 + 1.35161i) q^{39} +(-0.121741 + 0.846726i) q^{40} +(0.460323 + 1.00797i) q^{41} +(-0.288895 - 2.00931i) q^{42} +(4.14227 - 2.66208i) q^{43} +(6.86169 - 7.91881i) q^{44} -3.48863 q^{45} +(-6.15985 + 7.53887i) q^{46} +9.12434 q^{47} +(2.45168 - 2.82939i) q^{48} +(0.841254 - 0.540641i) q^{49} +(2.07153 + 14.4078i) q^{50} +(0.730938 + 1.60053i) q^{51} +(-1.44798 + 10.0709i) q^{52} +(-4.84213 + 1.42178i) q^{53} +(-1.70772 - 1.09749i) q^{54} +(7.16012 - 15.6785i) q^{55} +(-0.235274 - 0.0690826i) q^{56} +(-1.74106 - 2.00930i) q^{57} +(11.4252 + 13.1854i) q^{58} +(12.2929 + 3.60952i) q^{59} +(-3.07351 + 6.73005i) q^{60} +(-9.57516 - 6.15358i) q^{61} +(12.9169 - 3.79273i) q^{62} +(0.142315 - 0.989821i) q^{63} +(-3.71190 - 8.12792i) q^{64} +(2.38187 + 16.5663i) q^{65} +(8.43725 - 5.42229i) q^{66} +(-7.08781 + 8.17977i) q^{67} +3.73161 q^{68} +(-3.95782 + 2.70844i) q^{69} -7.08182 q^{70} +(3.60982 - 4.16595i) q^{71} +(-0.206281 + 0.132568i) q^{72} +(1.01861 + 7.08458i) q^{73} +(-7.83368 - 17.1534i) q^{74} +(-1.02047 + 7.09753i) q^{75} +(-5.41011 + 1.58855i) q^{76} +(4.15634 + 2.67111i) q^{77} +(-4.04563 + 8.85869i) q^{78} +(11.0607 + 3.24771i) q^{79} +(-8.55301 - 9.87070i) q^{80} +(-0.654861 - 0.755750i) q^{81} +(2.15830 + 0.633735i) q^{82} +(-2.92955 + 6.41482i) q^{83} +(-1.78412 - 1.14659i) q^{84} +(5.88972 - 1.72938i) q^{85} +(1.42250 - 9.89371i) q^{86} +(3.57031 + 7.81790i) q^{87} +(-0.172411 - 1.19915i) q^{88} +(-5.16880 + 3.32178i) q^{89} +(-4.63761 + 5.35208i) q^{90} -4.79748 q^{91} +(1.73808 + 10.0214i) q^{92} +6.63170 q^{93} +(12.1294 - 13.9981i) q^{94} +(-7.80274 + 5.01452i) q^{95} +(-1.15137 - 8.00793i) q^{96} +(0.200579 + 0.439207i) q^{97} +(0.288895 - 2.00931i) q^{98} +(4.74051 - 1.39194i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 80 q + q^{2} - 8 q^{3} - 9 q^{4} + 13 q^{5} + q^{6} + 8 q^{7} - 25 q^{8} - 8 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 80 q + q^{2} - 8 q^{3} - 9 q^{4} + 13 q^{5} + q^{6} + 8 q^{7} - 25 q^{8} - 8 q^{9} + 4 q^{10} + q^{11} - 9 q^{12} - 26 q^{13} - q^{14} + 2 q^{15} - 3 q^{16} - 23 q^{17} + q^{18} + 10 q^{19} + 63 q^{20} + 8 q^{21} - 9 q^{23} + 30 q^{24} - 29 q^{25} - 12 q^{26} - 8 q^{27} + 20 q^{28} + 13 q^{29} + 4 q^{30} - 27 q^{31} + 71 q^{32} + q^{33} - 45 q^{34} - 2 q^{35} - 9 q^{36} + 60 q^{37} - 2 q^{38} - 26 q^{39} + 7 q^{40} - 26 q^{41} - q^{42} + 5 q^{43} - 33 q^{44} - 20 q^{45} - 41 q^{46} + 34 q^{47} - 58 q^{48} - 8 q^{49} - 75 q^{50} - q^{51} + 108 q^{52} - 39 q^{53} - 10 q^{54} + 51 q^{55} + 3 q^{56} + 10 q^{57} + 47 q^{58} - 66 q^{59} + 19 q^{60} + 3 q^{61} + 103 q^{62} + 8 q^{63} - 25 q^{64} + 39 q^{65} - 33 q^{66} + 33 q^{67} - 88 q^{68} + 13 q^{69} + 18 q^{70} - 12 q^{71} - 25 q^{72} - 98 q^{73} + 123 q^{74} + 4 q^{75} - 41 q^{76} - 12 q^{77} + 10 q^{78} - 34 q^{79} + 163 q^{80} - 8 q^{81} + 48 q^{82} + 26 q^{83} + 9 q^{84} + 35 q^{85} + 4 q^{86} + 2 q^{87} + 178 q^{88} - 63 q^{89} + 4 q^{90} - 62 q^{91} - 39 q^{92} + 138 q^{93} - 28 q^{94} - 80 q^{95} - 17 q^{96} - 44 q^{97} + q^{98} + q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(1\) \(e\left(\frac{4}{11}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.32935 1.53415i 0.939992 1.08481i −0.0562687 0.998416i \(-0.517920\pi\)
0.996261 0.0863934i \(-0.0275342\pi\)
\(3\) 0.841254 0.540641i 0.485698 0.312139i
\(4\) −0.301820 2.09921i −0.150910 1.04960i
\(5\) −1.44923 3.17337i −0.648114 1.41917i −0.893195 0.449670i \(-0.851542\pi\)
0.245081 0.969503i \(-0.421186\pi\)
\(6\) 0.288895 2.00931i 0.117941 0.820298i
\(7\) 0.959493 0.281733i 0.362654 0.106485i
\(8\) −0.206281 0.132568i −0.0729312 0.0468700i
\(9\) 0.415415 0.909632i 0.138472 0.303211i
\(10\) −6.79496 1.99518i −2.14875 0.630931i
\(11\) 3.23543 + 3.73389i 0.975520 + 1.12581i 0.992037 + 0.125947i \(0.0401969\pi\)
−0.0165167 + 0.999864i \(0.505258\pi\)
\(12\) −1.38882 1.60279i −0.400919 0.462685i
\(13\) −4.60315 1.35161i −1.27668 0.374868i −0.428005 0.903776i \(-0.640783\pi\)
−0.848679 + 0.528908i \(0.822602\pi\)
\(14\) 0.843282 1.84653i 0.225376 0.493506i
\(15\) −2.93482 1.88609i −0.757767 0.486987i
\(16\) 3.59217 1.05476i 0.898043 0.263689i
\(17\) −0.250408 + 1.74163i −0.0607329 + 0.422407i 0.936660 + 0.350241i \(0.113900\pi\)
−0.997393 + 0.0721660i \(0.977009\pi\)
\(18\) −0.843282 1.84653i −0.198763 0.435231i
\(19\) −0.378369 2.63162i −0.0868039 0.603734i −0.986070 0.166332i \(-0.946808\pi\)
0.899266 0.437402i \(-0.144101\pi\)
\(20\) −6.22414 + 4.00001i −1.39176 + 0.894430i
\(21\) 0.654861 0.755750i 0.142902 0.164918i
\(22\) 10.0294 2.13827
\(23\) −4.79382 + 0.138724i −0.999582 + 0.0289260i
\(24\) −0.245206 −0.0500525
\(25\) −4.69569 + 5.41911i −0.939138 + 1.08382i
\(26\) −8.19277 + 5.26517i −1.60673 + 1.03258i
\(27\) −0.142315 0.989821i −0.0273885 0.190491i
\(28\) −0.881009 1.92914i −0.166495 0.364573i
\(29\) −1.22313 + 8.50709i −0.227130 + 1.57973i 0.482977 + 0.875633i \(0.339556\pi\)
−0.710107 + 0.704094i \(0.751354\pi\)
\(30\) −6.79496 + 1.99518i −1.24058 + 0.364268i
\(31\) 5.57894 + 3.58537i 1.00201 + 0.643951i 0.935312 0.353823i \(-0.115118\pi\)
0.0666943 + 0.997773i \(0.478755\pi\)
\(32\) 3.36082 7.35917i 0.594115 1.30093i
\(33\) 4.74051 + 1.39194i 0.825218 + 0.242306i
\(34\) 2.33904 + 2.69940i 0.401142 + 0.462943i
\(35\) −2.28456 2.63653i −0.386162 0.445655i
\(36\) −2.03489 0.597496i −0.339148 0.0995827i
\(37\) 3.85900 8.45004i 0.634416 1.38918i −0.270139 0.962821i \(-0.587070\pi\)
0.904555 0.426357i \(-0.140203\pi\)
\(38\) −4.54028 2.91786i −0.736531 0.473340i
\(39\) −4.60315 + 1.35161i −0.737094 + 0.216430i
\(40\) −0.121741 + 0.846726i −0.0192489 + 0.133879i
\(41\) 0.460323 + 1.00797i 0.0718904 + 0.157418i 0.942166 0.335148i \(-0.108786\pi\)
−0.870275 + 0.492566i \(0.836059\pi\)
\(42\) −0.288895 2.00931i −0.0445775 0.310043i
\(43\) 4.14227 2.66208i 0.631691 0.405963i −0.185245 0.982692i \(-0.559308\pi\)
0.816935 + 0.576730i \(0.195671\pi\)
\(44\) 6.86169 7.91881i 1.03444 1.19381i
\(45\) −3.48863 −0.520054
\(46\) −6.15985 + 7.53887i −0.908220 + 1.11155i
\(47\) 9.12434 1.33092 0.665461 0.746433i \(-0.268235\pi\)
0.665461 + 0.746433i \(0.268235\pi\)
\(48\) 2.45168 2.82939i 0.353870 0.408388i
\(49\) 0.841254 0.540641i 0.120179 0.0772344i
\(50\) 2.07153 + 14.4078i 0.292958 + 2.03757i
\(51\) 0.730938 + 1.60053i 0.102352 + 0.224119i
\(52\) −1.44798 + 10.0709i −0.200798 + 1.39658i
\(53\) −4.84213 + 1.42178i −0.665118 + 0.195296i −0.596828 0.802369i \(-0.703573\pi\)
−0.0682902 + 0.997666i \(0.521754\pi\)
\(54\) −1.70772 1.09749i −0.232392 0.149349i
\(55\) 7.16012 15.6785i 0.965470 2.11409i
\(56\) −0.235274 0.0690826i −0.0314398 0.00923155i
\(57\) −1.74106 2.00930i −0.230610 0.266138i
\(58\) 11.4252 + 13.1854i 1.50020 + 1.73132i
\(59\) 12.2929 + 3.60952i 1.60040 + 0.469920i 0.955657 0.294481i \(-0.0951466\pi\)
0.644742 + 0.764400i \(0.276965\pi\)
\(60\) −3.07351 + 6.73005i −0.396789 + 0.868846i
\(61\) −9.57516 6.15358i −1.22597 0.787885i −0.242714 0.970098i \(-0.578038\pi\)
−0.983259 + 0.182212i \(0.941674\pi\)
\(62\) 12.9169 3.79273i 1.64044 0.481677i
\(63\) 0.142315 0.989821i 0.0179300 0.124706i
\(64\) −3.71190 8.12792i −0.463987 1.01599i
\(65\) 2.38187 + 16.5663i 0.295434 + 2.05479i
\(66\) 8.43725 5.42229i 1.03855 0.667438i
\(67\) −7.08781 + 8.17977i −0.865914 + 0.999318i 0.134051 + 0.990974i \(0.457201\pi\)
−0.999965 + 0.00834392i \(0.997344\pi\)
\(68\) 3.73161 0.452525
\(69\) −3.95782 + 2.70844i −0.476466 + 0.326058i
\(70\) −7.08182 −0.846439
\(71\) 3.60982 4.16595i 0.428407 0.494408i −0.499973 0.866041i \(-0.666657\pi\)
0.928380 + 0.371633i \(0.121202\pi\)
\(72\) −0.206281 + 0.132568i −0.0243104 + 0.0156233i
\(73\) 1.01861 + 7.08458i 0.119219 + 0.829187i 0.958419 + 0.285364i \(0.0921145\pi\)
−0.839200 + 0.543823i \(0.816976\pi\)
\(74\) −7.83368 17.1534i −0.910646 1.99404i
\(75\) −1.02047 + 7.09753i −0.117834 + 0.819552i
\(76\) −5.41011 + 1.58855i −0.620582 + 0.182219i
\(77\) 4.15634 + 2.67111i 0.473658 + 0.304402i
\(78\) −4.04563 + 8.85869i −0.458077 + 1.00305i
\(79\) 11.0607 + 3.24771i 1.24442 + 0.365396i 0.836676 0.547699i \(-0.184496\pi\)
0.407748 + 0.913095i \(0.366314\pi\)
\(80\) −8.55301 9.87070i −0.956255 1.10358i
\(81\) −0.654861 0.755750i −0.0727623 0.0839722i
\(82\) 2.15830 + 0.633735i 0.238345 + 0.0699844i
\(83\) −2.92955 + 6.41482i −0.321560 + 0.704118i −0.999520 0.0309805i \(-0.990137\pi\)
0.677960 + 0.735099i \(0.262864\pi\)
\(84\) −1.78412 1.14659i −0.194664 0.125103i
\(85\) 5.88972 1.72938i 0.638830 0.187577i
\(86\) 1.42250 9.89371i 0.153392 1.06687i
\(87\) 3.57031 + 7.81790i 0.382778 + 0.838166i
\(88\) −0.172411 1.19915i −0.0183791 0.127829i
\(89\) −5.16880 + 3.32178i −0.547891 + 0.352108i −0.785118 0.619346i \(-0.787398\pi\)
0.237227 + 0.971454i \(0.423762\pi\)
\(90\) −4.63761 + 5.35208i −0.488847 + 0.564159i
\(91\) −4.79748 −0.502913
\(92\) 1.73808 + 10.0214i 0.181208 + 1.04480i
\(93\) 6.63170 0.687675
\(94\) 12.1294 13.9981i 1.25106 1.44380i
\(95\) −7.80274 + 5.01452i −0.800544 + 0.514479i
\(96\) −1.15137 8.00793i −0.117511 0.817306i
\(97\) 0.200579 + 0.439207i 0.0203657 + 0.0445947i 0.919542 0.392993i \(-0.128560\pi\)
−0.899176 + 0.437588i \(0.855833\pi\)
\(98\) 0.288895 2.00931i 0.0291828 0.202971i
\(99\) 4.74051 1.39194i 0.476440 0.139895i
\(100\) 12.7931 + 8.22162i 1.27931 + 0.822162i
\(101\) −4.16972 + 9.13041i −0.414902 + 0.908509i 0.580637 + 0.814163i \(0.302804\pi\)
−0.995539 + 0.0943469i \(0.969924\pi\)
\(102\) 3.42713 + 1.00630i 0.339337 + 0.0996382i
\(103\) −9.73699 11.2371i −0.959414 1.10722i −0.994170 0.107827i \(-0.965611\pi\)
0.0347555 0.999396i \(-0.488935\pi\)
\(104\) 0.770360 + 0.889043i 0.0755400 + 0.0871778i
\(105\) −3.34731 0.982860i −0.326664 0.0959173i
\(106\) −4.25567 + 9.31861i −0.413347 + 0.905103i
\(107\) −16.2045 10.4140i −1.56654 1.00676i −0.980510 0.196470i \(-0.937052\pi\)
−0.586034 0.810287i \(-0.699311\pi\)
\(108\) −2.03489 + 0.597496i −0.195807 + 0.0574941i
\(109\) 0.643245 4.47387i 0.0616117 0.428519i −0.935548 0.353200i \(-0.885094\pi\)
0.997160 0.0753186i \(-0.0239974\pi\)
\(110\) −14.5349 31.8269i −1.38584 3.03458i
\(111\) −1.32204 9.19496i −0.125482 0.872747i
\(112\) 3.14950 2.02406i 0.297600 0.191256i
\(113\) −2.26036 + 2.60859i −0.212636 + 0.245395i −0.852041 0.523475i \(-0.824635\pi\)
0.639405 + 0.768870i \(0.279181\pi\)
\(114\) −5.39705 −0.505480
\(115\) 7.38757 + 15.0115i 0.688894 + 1.39983i
\(116\) 18.2273 1.69236
\(117\) −3.14168 + 3.62569i −0.290449 + 0.335196i
\(118\) 21.8791 14.0609i 2.01414 1.29441i
\(119\) 0.250408 + 1.74163i 0.0229549 + 0.159655i
\(120\) 0.355360 + 0.778129i 0.0324397 + 0.0710331i
\(121\) −1.90844 + 13.2735i −0.173494 + 1.20668i
\(122\) −22.1693 + 6.50948i −2.00711 + 0.589341i
\(123\) 0.932196 + 0.599086i 0.0840533 + 0.0540178i
\(124\) 5.84259 12.7935i 0.524680 1.14889i
\(125\) 7.26539 + 2.13331i 0.649836 + 0.190809i
\(126\) −1.32935 1.53415i −0.118428 0.136673i
\(127\) 7.86179 + 9.07299i 0.697621 + 0.805097i 0.988429 0.151684i \(-0.0484696\pi\)
−0.290808 + 0.956781i \(0.593924\pi\)
\(128\) −1.87876 0.551653i −0.166060 0.0487597i
\(129\) 2.04547 4.47896i 0.180094 0.394351i
\(130\) 28.5815 + 18.3682i 2.50676 + 1.61100i
\(131\) −8.46710 + 2.48616i −0.739774 + 0.217217i −0.629843 0.776722i \(-0.716881\pi\)
−0.109930 + 0.993939i \(0.535063\pi\)
\(132\) 1.49119 10.3714i 0.129791 0.902717i
\(133\) −1.10445 2.41842i −0.0957684 0.209704i
\(134\) 3.12683 + 21.7476i 0.270117 + 1.87870i
\(135\) −2.93482 + 1.88609i −0.252589 + 0.162329i
\(136\) 0.282539 0.326068i 0.0242275 0.0279601i
\(137\) 6.32353 0.540256 0.270128 0.962824i \(-0.412934\pi\)
0.270128 + 0.962824i \(0.412934\pi\)
\(138\) −1.10617 + 9.67236i −0.0941638 + 0.823366i
\(139\) −8.55984 −0.726036 −0.363018 0.931782i \(-0.618254\pi\)
−0.363018 + 0.931782i \(0.618254\pi\)
\(140\) −4.84509 + 5.59153i −0.409485 + 0.472570i
\(141\) 7.67588 4.93299i 0.646426 0.415433i
\(142\) −1.59249 11.0760i −0.133639 0.929479i
\(143\) −9.84644 21.5607i −0.823400 1.80300i
\(144\) 0.532802 3.70572i 0.0444001 0.308810i
\(145\) 28.7687 8.44726i 2.38911 0.701506i
\(146\) 12.2229 + 7.85518i 1.01157 + 0.650100i
\(147\) 0.415415 0.909632i 0.0342629 0.0750252i
\(148\) −18.9031 5.55045i −1.55383 0.456244i
\(149\) 2.78080 + 3.20922i 0.227812 + 0.262909i 0.858135 0.513424i \(-0.171623\pi\)
−0.630323 + 0.776333i \(0.717078\pi\)
\(150\) 9.53212 + 11.0007i 0.778295 + 0.898200i
\(151\) −10.7583 3.15893i −0.875500 0.257070i −0.187047 0.982351i \(-0.559892\pi\)
−0.688453 + 0.725281i \(0.741710\pi\)
\(152\) −0.270819 + 0.593011i −0.0219663 + 0.0480996i
\(153\) 1.48022 + 0.951278i 0.119668 + 0.0769062i
\(154\) 9.62312 2.82560i 0.775453 0.227694i
\(155\) 3.29253 22.9000i 0.264462 1.83937i
\(156\) 4.22662 + 9.25502i 0.338401 + 0.740994i
\(157\) −1.31900 9.17385i −0.105268 0.732153i −0.972272 0.233852i \(-0.924867\pi\)
0.867004 0.498300i \(-0.166042\pi\)
\(158\) 19.6860 12.6514i 1.56613 1.00649i
\(159\) −3.30479 + 3.81393i −0.262087 + 0.302464i
\(160\) −28.2239 −2.23130
\(161\) −4.56056 + 1.48368i −0.359422 + 0.116930i
\(162\) −2.02997 −0.159490
\(163\) −8.12449 + 9.37616i −0.636359 + 0.734397i −0.978727 0.205169i \(-0.934226\pi\)
0.342368 + 0.939566i \(0.388771\pi\)
\(164\) 1.97700 1.27054i 0.154377 0.0992123i
\(165\) −2.45295 17.0606i −0.190962 1.32817i
\(166\) 5.94691 + 13.0219i 0.461570 + 1.01070i
\(167\) −0.995847 + 6.92627i −0.0770610 + 0.535971i 0.914323 + 0.404985i \(0.132723\pi\)
−0.991384 + 0.130986i \(0.958186\pi\)
\(168\) −0.235274 + 0.0690826i −0.0181518 + 0.00532984i
\(169\) 8.42584 + 5.41496i 0.648142 + 0.416536i
\(170\) 5.17637 11.3347i 0.397010 0.869330i
\(171\) −2.55098 0.749036i −0.195079 0.0572802i
\(172\) −6.83847 7.89201i −0.521428 0.601760i
\(173\) 0.00111714 + 0.00128925i 8.49347e−5 + 9.80199e-5i 0.755792 0.654812i \(-0.227252\pi\)
−0.755707 + 0.654910i \(0.772707\pi\)
\(174\) 16.7400 + 4.91532i 1.26906 + 0.372629i
\(175\) −2.97874 + 6.52253i −0.225172 + 0.493057i
\(176\) 15.5606 + 10.0002i 1.17292 + 0.753792i
\(177\) 12.2929 3.60952i 0.923991 0.271308i
\(178\) −1.77502 + 12.3455i −0.133043 + 0.925337i
\(179\) 4.17273 + 9.13701i 0.311885 + 0.682932i 0.999050 0.0435686i \(-0.0138727\pi\)
−0.687166 + 0.726501i \(0.741145\pi\)
\(180\) 1.05294 + 7.32335i 0.0784814 + 0.545850i
\(181\) 2.16327 1.39025i 0.160795 0.103336i −0.457769 0.889071i \(-0.651351\pi\)
0.618564 + 0.785735i \(0.287715\pi\)
\(182\) −6.37753 + 7.36006i −0.472734 + 0.545564i
\(183\) −11.3820 −0.841383
\(184\) 1.00726 + 0.606894i 0.0742564 + 0.0447408i
\(185\) −32.4077 −2.38266
\(186\) 8.81585 10.1740i 0.646409 0.745996i
\(187\) −7.31323 + 4.69993i −0.534796 + 0.343693i
\(188\) −2.75391 19.1539i −0.200850 1.39694i
\(189\) −0.415415 0.909632i −0.0302170 0.0661660i
\(190\) −2.67954 + 18.6366i −0.194395 + 1.35204i
\(191\) 9.99443 2.93463i 0.723172 0.212342i 0.100624 0.994924i \(-0.467916\pi\)
0.622547 + 0.782582i \(0.286098\pi\)
\(192\) −7.51694 4.83084i −0.542488 0.348636i
\(193\) 8.72218 19.0989i 0.627836 1.37477i −0.281844 0.959460i \(-0.590946\pi\)
0.909680 0.415309i \(-0.136327\pi\)
\(194\) 0.940451 + 0.276141i 0.0675204 + 0.0198258i
\(195\) 10.9602 + 12.6487i 0.784873 + 0.905792i
\(196\) −1.38882 1.60279i −0.0992017 0.114485i
\(197\) −14.6172 4.29201i −1.04143 0.305793i −0.284083 0.958800i \(-0.591689\pi\)
−0.757352 + 0.653007i \(0.773507\pi\)
\(198\) 4.16635 9.12304i 0.296090 0.648347i
\(199\) −9.37468 6.02474i −0.664554 0.427083i 0.164405 0.986393i \(-0.447430\pi\)
−0.828958 + 0.559310i \(0.811066\pi\)
\(200\) 1.68703 0.495357i 0.119291 0.0350271i
\(201\) −1.54033 + 10.7132i −0.108646 + 0.755653i
\(202\) 8.46442 + 18.5345i 0.595554 + 1.30408i
\(203\) 1.22313 + 8.50709i 0.0858472 + 0.597081i
\(204\) 3.13923 2.01746i 0.219790 0.141251i
\(205\) 2.53154 2.92155i 0.176810 0.204050i
\(206\) −30.1833 −2.10297
\(207\) −1.86524 + 4.41824i −0.129643 + 0.307089i
\(208\) −17.9609 −1.24537
\(209\) 8.60198 9.92721i 0.595011 0.686680i
\(210\) −5.95761 + 3.82872i −0.411114 + 0.264207i
\(211\) 1.49916 + 10.4269i 0.103206 + 0.717816i 0.974063 + 0.226278i \(0.0726558\pi\)
−0.870856 + 0.491537i \(0.836435\pi\)
\(212\) 4.44606 + 9.73551i 0.305357 + 0.668638i
\(213\) 0.784489 5.45624i 0.0537523 0.373855i
\(214\) −37.5180 + 11.0163i −2.56468 + 0.753057i
\(215\) −14.4508 9.28699i −0.985539 0.633368i
\(216\) −0.101862 + 0.223047i −0.00693085 + 0.0151765i
\(217\) 6.36307 + 1.86836i 0.431953 + 0.126833i
\(218\) −6.00849 6.93417i −0.406946 0.469641i
\(219\) 4.68712 + 5.40922i 0.316726 + 0.365521i
\(220\) −35.0734 10.2985i −2.36465 0.694324i
\(221\) 3.50666 7.67852i 0.235884 0.516513i
\(222\) −15.8639 10.1951i −1.06472 0.684252i
\(223\) −22.0604 + 6.47752i −1.47727 + 0.433767i −0.918456 0.395523i \(-0.870563\pi\)
−0.558818 + 0.829290i \(0.688745\pi\)
\(224\) 1.15137 8.00793i 0.0769289 0.535052i
\(225\) 2.97874 + 6.52253i 0.198583 + 0.434835i
\(226\) 0.997168 + 6.93546i 0.0663306 + 0.461340i
\(227\) 14.9347 9.59798i 0.991254 0.637040i 0.0587774 0.998271i \(-0.481280\pi\)
0.932476 + 0.361231i \(0.117643\pi\)
\(228\) −3.69244 + 4.26130i −0.244538 + 0.282211i
\(229\) 3.06261 0.202383 0.101191 0.994867i \(-0.467735\pi\)
0.101191 + 0.994867i \(0.467735\pi\)
\(230\) 32.8506 + 8.62192i 2.16610 + 0.568512i
\(231\) 4.94065 0.325071
\(232\) 1.38008 1.59270i 0.0906067 0.104566i
\(233\) −14.9863 + 9.63114i −0.981788 + 0.630957i −0.929945 0.367698i \(-0.880146\pi\)
−0.0518432 + 0.998655i \(0.516510\pi\)
\(234\) 1.38597 + 9.63963i 0.0906037 + 0.630162i
\(235\) −13.2232 28.9549i −0.862590 1.88881i
\(236\) 3.86688 26.8948i 0.251713 1.75070i
\(237\) 11.0607 3.24771i 0.718468 0.210961i
\(238\) 3.00480 + 1.93107i 0.194772 + 0.125173i
\(239\) −0.825075 + 1.80666i −0.0533697 + 0.116863i −0.934438 0.356125i \(-0.884098\pi\)
0.881069 + 0.472989i \(0.156825\pi\)
\(240\) −12.5317 3.67965i −0.808921 0.237521i
\(241\) 2.47272 + 2.85367i 0.159282 + 0.183821i 0.829781 0.558089i \(-0.188465\pi\)
−0.670499 + 0.741910i \(0.733920\pi\)
\(242\) 17.8266 + 20.5729i 1.14593 + 1.32248i
\(243\) −0.959493 0.281733i −0.0615515 0.0180732i
\(244\) −10.0277 + 21.9575i −0.641955 + 1.40569i
\(245\) −2.93482 1.88609i −0.187499 0.120498i
\(246\) 2.15830 0.633735i 0.137608 0.0404055i
\(247\) −1.81522 + 12.6251i −0.115500 + 0.803318i
\(248\) −0.675520 1.47918i −0.0428956 0.0939282i
\(249\) 1.00362 + 6.98033i 0.0636018 + 0.442360i
\(250\) 12.9311 8.31029i 0.817832 0.525589i
\(251\) −8.81371 + 10.1716i −0.556316 + 0.642023i −0.962343 0.271838i \(-0.912369\pi\)
0.406027 + 0.913861i \(0.366914\pi\)
\(252\) −2.12079 −0.133597
\(253\) −16.0281 17.4508i −1.00768 1.09712i
\(254\) 24.3704 1.52914
\(255\) 4.01978 4.63907i 0.251728 0.290510i
\(256\) 11.6900 7.51272i 0.730627 0.469545i
\(257\) 0.841694 + 5.85411i 0.0525034 + 0.365169i 0.999087 + 0.0427119i \(0.0135998\pi\)
−0.946584 + 0.322457i \(0.895491\pi\)
\(258\) −4.15226 9.09218i −0.258508 0.566054i
\(259\) 1.32204 9.19496i 0.0821473 0.571347i
\(260\) 34.0571 10.0001i 2.11213 0.620178i
\(261\) 7.23021 + 4.64658i 0.447539 + 0.287616i
\(262\) −7.44158 + 16.2948i −0.459743 + 1.00670i
\(263\) −30.5865 8.98099i −1.88604 0.553792i −0.995001 0.0998698i \(-0.968157\pi\)
−0.891041 0.453922i \(-0.850024\pi\)
\(264\) −0.793349 0.915573i −0.0488272 0.0563496i
\(265\) 11.5292 + 13.3054i 0.708232 + 0.817343i
\(266\) −5.17843 1.52052i −0.317510 0.0932293i
\(267\) −2.55238 + 5.58892i −0.156203 + 0.342037i
\(268\) 19.3103 + 12.4100i 1.17956 + 0.758059i
\(269\) 13.2590 3.89321i 0.808418 0.237373i 0.148696 0.988883i \(-0.452492\pi\)
0.659722 + 0.751510i \(0.270674\pi\)
\(270\) −1.00785 + 7.00974i −0.0613357 + 0.426599i
\(271\) 2.26754 + 4.96522i 0.137743 + 0.301616i 0.965915 0.258858i \(-0.0833463\pi\)
−0.828172 + 0.560474i \(0.810619\pi\)
\(272\) 0.937484 + 6.52035i 0.0568433 + 0.395354i
\(273\) −4.03590 + 2.59371i −0.244264 + 0.156979i
\(274\) 8.40619 9.70126i 0.507836 0.586074i
\(275\) −35.4270 −2.13633
\(276\) 6.88012 + 7.49082i 0.414135 + 0.450895i
\(277\) −8.87695 −0.533365 −0.266682 0.963785i \(-0.585927\pi\)
−0.266682 + 0.963785i \(0.585927\pi\)
\(278\) −11.3790 + 13.1321i −0.682468 + 0.787610i
\(279\) 5.57894 3.58537i 0.334002 0.214650i
\(280\) 0.121741 + 0.846726i 0.00727540 + 0.0506015i
\(281\) 5.97793 + 13.0898i 0.356613 + 0.780874i 0.999884 + 0.0152353i \(0.00484974\pi\)
−0.643271 + 0.765639i \(0.722423\pi\)
\(282\) 2.63598 18.3336i 0.156970 1.09175i
\(283\) 13.4684 3.95468i 0.800614 0.235081i 0.144265 0.989539i \(-0.453918\pi\)
0.656349 + 0.754458i \(0.272100\pi\)
\(284\) −9.83471 6.32038i −0.583583 0.375046i
\(285\) −3.85303 + 8.43696i −0.228234 + 0.499762i
\(286\) −46.1667 13.5558i −2.72990 0.801570i
\(287\) 0.725654 + 0.837449i 0.0428340 + 0.0494331i
\(288\) −5.29800 6.11422i −0.312188 0.360284i
\(289\) 13.3408 + 3.91722i 0.784754 + 0.230425i
\(290\) 25.2843 55.3649i 1.48475 3.25114i
\(291\) 0.406191 + 0.261043i 0.0238114 + 0.0153026i
\(292\) 14.5646 4.27654i 0.852326 0.250265i
\(293\) −2.62526 + 18.2591i −0.153369 + 1.06671i 0.757150 + 0.653241i \(0.226591\pi\)
−0.910520 + 0.413466i \(0.864318\pi\)
\(294\) −0.843282 1.84653i −0.0491812 0.107692i
\(295\) −6.36088 44.2409i −0.370345 2.57580i
\(296\) −1.91625 + 1.23150i −0.111380 + 0.0715793i
\(297\) 3.23543 3.73389i 0.187739 0.216662i
\(298\) 8.62009 0.499348
\(299\) 22.2542 + 5.84080i 1.28699 + 0.337782i
\(300\) 15.2072 0.877987
\(301\) 3.22449 3.72126i 0.185856 0.214490i
\(302\) −19.1479 + 12.3056i −1.10184 + 0.708107i
\(303\) 1.42848 + 9.93531i 0.0820641 + 0.570768i
\(304\) −4.13488 9.05413i −0.237152 0.519290i
\(305\) −5.65098 + 39.3034i −0.323574 + 2.25051i
\(306\) 3.42713 1.00630i 0.195916 0.0575261i
\(307\) −3.38719 2.17682i −0.193317 0.124237i 0.440402 0.897801i \(-0.354836\pi\)
−0.633719 + 0.773563i \(0.718472\pi\)
\(308\) 4.35275 9.53120i 0.248021 0.543091i
\(309\) −14.2665 4.18902i −0.811593 0.238305i
\(310\) −30.7552 35.4934i −1.74678 2.01589i
\(311\) −6.32244 7.29649i −0.358513 0.413746i 0.547628 0.836722i \(-0.315531\pi\)
−0.906141 + 0.422976i \(0.860985\pi\)
\(312\) 1.12872 + 0.331422i 0.0639012 + 0.0187631i
\(313\) −10.3695 + 22.7061i −0.586122 + 1.28343i 0.351636 + 0.936137i \(0.385625\pi\)
−0.937758 + 0.347291i \(0.887102\pi\)
\(314\) −15.8275 10.1717i −0.893197 0.574023i
\(315\) −3.34731 + 0.982860i −0.188600 + 0.0553779i
\(316\) 3.47927 24.1989i 0.195724 1.36129i
\(317\) −12.3009 26.9351i −0.690886 1.51283i −0.850683 0.525679i \(-0.823811\pi\)
0.159797 0.987150i \(-0.448916\pi\)
\(318\) 1.45793 + 10.1401i 0.0817564 + 0.568629i
\(319\) −35.7219 + 22.9571i −2.00004 + 1.28535i
\(320\) −20.4135 + 23.5584i −1.14115 + 1.31696i
\(321\) −19.2623 −1.07512
\(322\) −3.78639 + 8.96892i −0.211007 + 0.499818i
\(323\) 4.67804 0.260293
\(324\) −1.38882 + 1.60279i −0.0771569 + 0.0890438i
\(325\) 28.9395 18.5983i 1.60527 1.03165i
\(326\) 3.58416 + 24.9284i 0.198508 + 1.38066i
\(327\) −1.87762 4.11142i −0.103833 0.227362i
\(328\) 0.0386689 0.268948i 0.00213513 0.0148502i
\(329\) 8.75474 2.57062i 0.482665 0.141723i
\(330\) −29.4344 18.9164i −1.62031 1.04131i
\(331\) 7.20918 15.7859i 0.396253 0.867672i −0.601384 0.798960i \(-0.705384\pi\)
0.997637 0.0687119i \(-0.0218889\pi\)
\(332\) 14.3502 + 4.21361i 0.787571 + 0.231252i
\(333\) −6.08334 7.02055i −0.333365 0.384724i
\(334\) 9.30212 + 10.7352i 0.508989 + 0.587405i
\(335\) 36.2293 + 10.6379i 1.97942 + 0.581209i
\(336\) 1.55524 3.40550i 0.0848453 0.185785i
\(337\) 2.26541 + 1.45589i 0.123405 + 0.0793073i 0.600887 0.799334i \(-0.294814\pi\)
−0.477482 + 0.878641i \(0.658451\pi\)
\(338\) 19.5083 5.72814i 1.06111 0.311570i
\(339\) −0.491222 + 3.41653i −0.0266795 + 0.185560i
\(340\) −5.40796 11.8418i −0.293288 0.642211i
\(341\) 4.66293 + 32.4314i 0.252512 + 1.75626i
\(342\) −4.54028 + 2.91786i −0.245510 + 0.157780i
\(343\) 0.654861 0.755750i 0.0353592 0.0408066i
\(344\) −1.20738 −0.0650974
\(345\) 14.3307 + 8.63447i 0.771537 + 0.464864i
\(346\) 0.00346298 0.000186171
\(347\) 0.680391 0.785213i 0.0365253 0.0421525i −0.737193 0.675682i \(-0.763849\pi\)
0.773718 + 0.633530i \(0.218395\pi\)
\(348\) 15.3338 9.85442i 0.821977 0.528253i
\(349\) −4.08305 28.3982i −0.218561 1.52012i −0.743357 0.668895i \(-0.766768\pi\)
0.524796 0.851228i \(-0.324142\pi\)
\(350\) 6.04676 + 13.2406i 0.323213 + 0.707738i
\(351\) −0.682753 + 4.74865i −0.0364426 + 0.253464i
\(352\) 38.3521 11.2612i 2.04417 0.600223i
\(353\) −0.0282555 0.0181587i −0.00150389 0.000966489i 0.539889 0.841736i \(-0.318466\pi\)
−0.541393 + 0.840770i \(0.682103\pi\)
\(354\) 10.8040 23.6575i 0.574227 1.25738i
\(355\) −18.4515 5.41786i −0.979306 0.287550i
\(356\) 8.53316 + 9.84779i 0.452256 + 0.521932i
\(357\) 1.15225 + 1.32977i 0.0609836 + 0.0703789i
\(358\) 19.5646 + 5.74468i 1.03402 + 0.303616i
\(359\) −3.52642 + 7.72179i −0.186117 + 0.407540i −0.979573 0.201088i \(-0.935552\pi\)
0.793456 + 0.608628i \(0.208280\pi\)
\(360\) 0.719636 + 0.462482i 0.0379281 + 0.0243749i
\(361\) 11.4481 3.36147i 0.602533 0.176920i
\(362\) 0.742890 5.16692i 0.0390455 0.271567i
\(363\) 5.57071 + 12.1981i 0.292386 + 0.640237i
\(364\) 1.44798 + 10.0709i 0.0758946 + 0.527859i
\(365\) 21.0058 13.4996i 1.09949 0.706600i
\(366\) −15.1307 + 17.4617i −0.790893 + 0.912740i
\(367\) 5.29439 0.276365 0.138182 0.990407i \(-0.455874\pi\)
0.138182 + 0.990407i \(0.455874\pi\)
\(368\) −17.0739 + 5.55464i −0.890040 + 0.289556i
\(369\) 1.10810 0.0576856
\(370\) −43.0811 + 49.7183i −2.23968 + 2.58473i
\(371\) −4.24543 + 2.72837i −0.220412 + 0.141650i
\(372\) −2.00158 13.9213i −0.103777 0.721786i
\(373\) −1.60933 3.52395i −0.0833281 0.182463i 0.863381 0.504552i \(-0.168342\pi\)
−0.946709 + 0.322089i \(0.895615\pi\)
\(374\) −2.51144 + 17.4674i −0.129863 + 0.903220i
\(375\) 7.26539 2.13331i 0.375183 0.110164i
\(376\) −1.88217 1.20960i −0.0970657 0.0623804i
\(377\) 17.1285 37.5062i 0.882163 1.93167i
\(378\) −1.94775 0.571910i −0.100181 0.0294159i
\(379\) −10.8091 12.4743i −0.555224 0.640763i 0.406868 0.913487i \(-0.366621\pi\)
−0.962092 + 0.272724i \(0.912075\pi\)
\(380\) 12.8815 + 14.8661i 0.660809 + 0.762614i
\(381\) 11.5190 + 3.38228i 0.590135 + 0.173279i
\(382\) 8.78393 19.2341i 0.449425 0.984104i
\(383\) 0.762607 + 0.490098i 0.0389674 + 0.0250428i 0.559979 0.828506i \(-0.310809\pi\)
−0.521012 + 0.853549i \(0.674445\pi\)
\(384\) −1.87876 + 0.551653i −0.0958749 + 0.0281514i
\(385\) 2.45295 17.0606i 0.125014 0.869490i
\(386\) −17.7058 38.7703i −0.901201 1.97335i
\(387\) −0.700748 4.87381i −0.0356210 0.247750i
\(388\) 0.861448 0.553619i 0.0437334 0.0281057i
\(389\) 18.4818 21.3291i 0.937065 1.08143i −0.0594682 0.998230i \(-0.518940\pi\)
0.996533 0.0832001i \(-0.0265141\pi\)
\(390\) 33.9749 1.72039
\(391\) 0.958808 8.38380i 0.0484890 0.423987i
\(392\) −0.245206 −0.0123848
\(393\) −5.77885 + 6.66915i −0.291505 + 0.336414i
\(394\) −26.0160 + 16.7195i −1.31067 + 0.842315i
\(395\) −5.72327 39.8062i −0.287969 2.00287i
\(396\) −4.35275 9.53120i −0.218734 0.478961i
\(397\) −2.23512 + 15.5456i −0.112178 + 0.780213i 0.853616 + 0.520902i \(0.174404\pi\)
−0.965794 + 0.259310i \(0.916505\pi\)
\(398\) −21.7051 + 6.37319i −1.08798 + 0.319459i
\(399\) −2.23662 1.43739i −0.111971 0.0719595i
\(400\) −11.1519 + 24.4192i −0.557594 + 1.22096i
\(401\) 8.27272 + 2.42909i 0.413120 + 0.121303i 0.481686 0.876344i \(-0.340024\pi\)
−0.0685667 + 0.997647i \(0.521843\pi\)
\(402\) 14.3881 + 16.6047i 0.717612 + 0.828168i
\(403\) −20.8347 24.0445i −1.03785 1.19774i
\(404\) 20.4251 + 5.99735i 1.01619 + 0.298380i
\(405\) −1.44923 + 3.17337i −0.0720127 + 0.157686i
\(406\) 14.6771 + 9.43242i 0.728414 + 0.468123i
\(407\) 44.0371 12.9305i 2.18284 0.640939i
\(408\) 0.0614017 0.427058i 0.00303984 0.0211425i
\(409\) −10.6646 23.3523i −0.527332 1.15470i −0.966588 0.256335i \(-0.917485\pi\)
0.439256 0.898362i \(-0.355242\pi\)
\(410\) −1.11680 7.76752i −0.0551548 0.383610i
\(411\) 5.31969 3.41876i 0.262401 0.168635i
\(412\) −20.6501 + 23.8315i −1.01736 + 1.17410i
\(413\) 12.8119 0.630431
\(414\) 4.29870 + 8.73495i 0.211270 + 0.429300i
\(415\) 24.6022 1.20767
\(416\) −25.4171 + 29.3329i −1.24617 + 1.43816i
\(417\) −7.20099 + 4.62780i −0.352634 + 0.226624i
\(418\) −3.79481 26.3935i −0.185610 1.29095i
\(419\) 11.7138 + 25.6497i 0.572258 + 1.25307i 0.945587 + 0.325371i \(0.105489\pi\)
−0.373329 + 0.927699i \(0.621784\pi\)
\(420\) −1.05294 + 7.32335i −0.0513781 + 0.357343i
\(421\) 7.37981 2.16691i 0.359670 0.105609i −0.0969049 0.995294i \(-0.530894\pi\)
0.456575 + 0.889685i \(0.349076\pi\)
\(422\) 17.9893 + 11.5610i 0.875706 + 0.562782i
\(423\) 3.79039 8.29979i 0.184295 0.403550i
\(424\) 1.18732 + 0.348629i 0.0576614 + 0.0169309i
\(425\) −8.26224 9.53513i −0.400777 0.462522i
\(426\) −7.32784 8.45677i −0.355035 0.409732i
\(427\) −10.9210 3.20668i −0.528502 0.155182i
\(428\) −16.9702 + 37.1596i −0.820287 + 1.79618i
\(429\) −19.9399 12.8146i −0.962709 0.618696i
\(430\) −33.4579 + 9.82412i −1.61348 + 0.473761i
\(431\) −1.89010 + 13.1459i −0.0910430 + 0.633218i 0.892298 + 0.451447i \(0.149092\pi\)
−0.983341 + 0.181771i \(0.941817\pi\)
\(432\) −1.55524 3.40550i −0.0748265 0.163847i
\(433\) 0.243844 + 1.69597i 0.0117184 + 0.0815033i 0.994841 0.101443i \(-0.0323458\pi\)
−0.983123 + 0.182946i \(0.941437\pi\)
\(434\) 11.3251 7.27820i 0.543622 0.349365i
\(435\) 19.6348 22.6598i 0.941419 1.08646i
\(436\) −9.58571 −0.459072
\(437\) 2.17891 + 12.5630i 0.104231 + 0.600971i
\(438\) 14.5294 0.694241
\(439\) −6.33133 + 7.30674i −0.302178 + 0.348732i −0.886449 0.462827i \(-0.846835\pi\)
0.584271 + 0.811559i \(0.301381\pi\)
\(440\) −3.55547 + 2.28496i −0.169500 + 0.108931i
\(441\) −0.142315 0.989821i −0.00677690 0.0471344i
\(442\) −7.11843 15.5872i −0.338589 0.741407i
\(443\) −3.67115 + 25.5334i −0.174422 + 1.21313i 0.694982 + 0.719027i \(0.255412\pi\)
−0.869404 + 0.494102i \(0.835497\pi\)
\(444\) −18.9031 + 5.55045i −0.897102 + 0.263413i
\(445\) 18.0320 + 11.5885i 0.854799 + 0.549346i
\(446\) −19.3885 + 42.4549i −0.918073 + 2.01030i
\(447\) 4.07439 + 1.19635i 0.192712 + 0.0565854i
\(448\) −5.85144 6.75292i −0.276455 0.319046i
\(449\) 8.72784 + 10.0725i 0.411892 + 0.475349i 0.923350 0.383959i \(-0.125440\pi\)
−0.511458 + 0.859309i \(0.670894\pi\)
\(450\) 13.9663 + 4.10089i 0.658379 + 0.193318i
\(451\) −2.27429 + 4.98001i −0.107092 + 0.234499i
\(452\) 6.15819 + 3.95763i 0.289657 + 0.186151i
\(453\) −10.7583 + 3.15893i −0.505470 + 0.148420i
\(454\) 5.12875 35.6712i 0.240704 1.67413i
\(455\) 6.95264 + 15.2242i 0.325945 + 0.713720i
\(456\) 0.0927785 + 0.645289i 0.00434475 + 0.0302184i
\(457\) 16.7643 10.7738i 0.784202 0.503976i −0.0862235 0.996276i \(-0.527480\pi\)
0.870426 + 0.492300i \(0.163844\pi\)
\(458\) 4.07127 4.69850i 0.190238 0.219547i
\(459\) 1.75954 0.0821282
\(460\) 29.2826 20.0388i 1.36531 0.934314i
\(461\) −0.481231 −0.0224132 −0.0112066 0.999937i \(-0.503567\pi\)
−0.0112066 + 0.999937i \(0.503567\pi\)
\(462\) 6.56785 7.57970i 0.305564 0.352640i
\(463\) 32.3481 20.7889i 1.50334 0.966141i 0.508907 0.860822i \(-0.330050\pi\)
0.994438 0.105319i \(-0.0335865\pi\)
\(464\) 4.57920 + 31.8490i 0.212584 + 1.47855i
\(465\) −9.61084 21.0448i −0.445692 0.975929i
\(466\) −5.14647 + 35.7945i −0.238406 + 1.65815i
\(467\) 3.61329 1.06096i 0.167203 0.0490952i −0.197060 0.980392i \(-0.563139\pi\)
0.364263 + 0.931296i \(0.381321\pi\)
\(468\) 8.55930 + 5.50073i 0.395654 + 0.254271i
\(469\) −4.49620 + 9.84530i −0.207615 + 0.454614i
\(470\) −61.9995 18.2047i −2.85982 0.839720i
\(471\) −6.06937 7.00443i −0.279662 0.322747i
\(472\) −2.05728 2.37423i −0.0946939 0.109283i
\(473\) 23.3420 + 6.85382i 1.07326 + 0.315139i
\(474\) 9.72104 21.2861i 0.446502 0.977703i
\(475\) 16.0377 + 10.3068i 0.735862 + 0.472910i
\(476\) 3.58046 1.05132i 0.164110 0.0481870i
\(477\) −0.718200 + 4.99519i −0.0328841 + 0.228714i
\(478\) 1.67488 + 3.66748i 0.0766072 + 0.167746i
\(479\) 1.93113 + 13.4313i 0.0882355 + 0.613691i 0.985177 + 0.171542i \(0.0548748\pi\)
−0.896941 + 0.442149i \(0.854216\pi\)
\(480\) −23.7435 + 15.2590i −1.08374 + 0.696476i
\(481\) −29.1847 + 33.6809i −1.33071 + 1.53572i
\(482\) 7.66507 0.349134
\(483\) −3.03445 + 3.71378i −0.138072 + 0.168983i
\(484\) 28.4398 1.29272
\(485\) 1.10308 1.27302i 0.0500883 0.0578050i
\(486\) −1.70772 + 1.09749i −0.0774639 + 0.0497830i
\(487\) 1.55001 + 10.7805i 0.0702375 + 0.488513i 0.994330 + 0.106343i \(0.0339140\pi\)
−0.924092 + 0.382170i \(0.875177\pi\)
\(488\) 1.15940 + 2.53873i 0.0524835 + 0.114923i
\(489\) −1.76562 + 12.2802i −0.0798441 + 0.555328i
\(490\) −6.79496 + 1.99518i −0.306965 + 0.0901330i
\(491\) −33.4037 21.4673i −1.50749 0.968805i −0.993842 0.110803i \(-0.964658\pi\)
−0.513647 0.858001i \(-0.671706\pi\)
\(492\) 0.976250 2.13769i 0.0440127 0.0963745i
\(493\) −14.5099 4.26049i −0.653493 0.191883i
\(494\) 16.9558 + 19.5680i 0.762878 + 0.880408i
\(495\) −11.2872 13.0261i −0.507323 0.585482i
\(496\) 23.8222 + 6.99483i 1.06965 + 0.314077i
\(497\) 2.28991 5.01421i 0.102717 0.224918i
\(498\) 12.0430 + 7.73959i 0.539662 + 0.346820i
\(499\) −9.66120 + 2.83678i −0.432495 + 0.126992i −0.490731 0.871311i \(-0.663270\pi\)
0.0582367 + 0.998303i \(0.481452\pi\)
\(500\) 2.28542 15.8954i 0.102207 0.710865i
\(501\) 2.90686 + 6.36514i 0.129869 + 0.284374i
\(502\) 3.88822 + 27.0431i 0.173540 + 1.20699i
\(503\) 19.0831 12.2640i 0.850874 0.546824i −0.0409732 0.999160i \(-0.513046\pi\)
0.891847 + 0.452337i \(0.149409\pi\)
\(504\) −0.160576 + 0.185314i −0.00715262 + 0.00825456i
\(505\) 35.0170 1.55824
\(506\) −48.0791 + 1.39132i −2.13738 + 0.0618516i
\(507\) 10.0158 0.444818
\(508\) 16.6732 19.2419i 0.739755 0.853722i
\(509\) 15.5624 10.0013i 0.689791 0.443302i −0.148220 0.988954i \(-0.547355\pi\)
0.838012 + 0.545653i \(0.183718\pi\)
\(510\) −1.77335 12.3339i −0.0785251 0.546154i
\(511\) 2.97330 + 6.51063i 0.131531 + 0.288013i
\(512\) 4.57180 31.7976i 0.202047 1.40527i
\(513\) −2.55098 + 0.749036i −0.112629 + 0.0330708i
\(514\) 10.1000 + 6.49087i 0.445492 + 0.286300i
\(515\) −21.5483 + 47.1841i −0.949530 + 2.07918i
\(516\) −10.0196 2.94203i −0.441090 0.129516i
\(517\) 29.5212 + 34.0693i 1.29834 + 1.49837i
\(518\) −12.3490 14.2515i −0.542585 0.626176i
\(519\) 0.00163682 0.000480614i 7.18484e−5 2.10966e-5i
\(520\) 1.70483 3.73306i 0.0747618 0.163705i
\(521\) 10.3762 + 6.66838i 0.454590 + 0.292147i 0.747828 0.663892i \(-0.231097\pi\)
−0.293238 + 0.956039i \(0.594733\pi\)
\(522\) 16.7400 4.91532i 0.732691 0.215138i
\(523\) 1.25383 8.72056i 0.0548260 0.381323i −0.943872 0.330311i \(-0.892846\pi\)
0.998698 0.0510120i \(-0.0162447\pi\)
\(524\) 7.77451 + 17.0238i 0.339631 + 0.743689i
\(525\) 1.02047 + 7.09753i 0.0445370 + 0.309762i
\(526\) −54.4383 + 34.9854i −2.37362 + 1.52544i
\(527\) −7.64138 + 8.81863i −0.332864 + 0.384145i
\(528\) 18.4969 0.804974
\(529\) 22.9615 1.33004i 0.998327 0.0578277i
\(530\) 35.7388 1.55239
\(531\) 8.38999 9.68257i 0.364095 0.420188i
\(532\) −4.74341 + 3.04841i −0.205653 + 0.132165i
\(533\) −0.756561 5.26200i −0.0327703 0.227922i
\(534\) 5.18126 + 11.3454i 0.224215 + 0.490962i
\(535\) −9.56340 + 66.5149i −0.413462 + 2.87569i
\(536\) 2.54646 0.747708i 0.109990 0.0322961i
\(537\) 8.45016 + 5.43059i 0.364652 + 0.234347i
\(538\) 11.6531 25.5168i 0.502402 1.10011i
\(539\) 4.74051 + 1.39194i 0.204188 + 0.0599551i
\(540\) 4.84509 + 5.59153i 0.208499 + 0.240621i
\(541\) 3.50963 + 4.05033i 0.150891 + 0.174137i 0.826163 0.563432i \(-0.190519\pi\)
−0.675272 + 0.737569i \(0.735974\pi\)
\(542\) 10.6318 + 3.12176i 0.456673 + 0.134091i
\(543\) 1.06823 2.33911i 0.0458423 0.100381i
\(544\) 11.9754 + 7.69610i 0.513439 + 0.329968i
\(545\) −15.1294 + 4.44240i −0.648073 + 0.190291i
\(546\) −1.38597 + 9.63963i −0.0593140 + 0.412538i
\(547\) −11.9121 26.0839i −0.509325 1.11527i −0.973325 0.229431i \(-0.926313\pi\)
0.464000 0.885835i \(-0.346414\pi\)
\(548\) −1.90857 13.2744i −0.0815301 0.567054i
\(549\) −9.57516 + 6.15358i −0.408658 + 0.262628i
\(550\) −47.0948 + 54.3503i −2.00813 + 2.31751i
\(551\) 22.8502 0.973451
\(552\) 1.17548 0.0340160i 0.0500316 0.00144782i
\(553\) 11.5276 0.490205
\(554\) −11.8006 + 13.6186i −0.501359 + 0.578599i
\(555\) −27.2631 + 17.5209i −1.15725 + 0.743721i
\(556\) 2.58353 + 17.9689i 0.109566 + 0.762050i
\(557\) 11.9221 + 26.1058i 0.505157 + 1.10614i 0.974759 + 0.223261i \(0.0716703\pi\)
−0.469601 + 0.882878i \(0.655602\pi\)
\(558\) 1.91587 13.3251i 0.0811051 0.564098i
\(559\) −22.6656 + 6.65521i −0.958652 + 0.281486i
\(560\) −10.9874 7.06120i −0.464304 0.298390i
\(561\) −3.61131 + 7.90766i −0.152469 + 0.333862i
\(562\) 28.0286 + 8.22993i 1.18231 + 0.347158i
\(563\) −28.3943 32.7688i −1.19668 1.38104i −0.905486 0.424376i \(-0.860494\pi\)
−0.291192 0.956665i \(-0.594052\pi\)
\(564\) −12.6721 14.6244i −0.533592 0.615798i
\(565\) 11.5538 + 3.39250i 0.486071 + 0.142723i
\(566\) 11.8371 25.9197i 0.497553 1.08949i
\(567\) −0.841254 0.540641i −0.0353293 0.0227048i
\(568\) −1.29691 + 0.380807i −0.0544171 + 0.0159783i
\(569\) 1.78613 12.4228i 0.0748786 0.520792i −0.917516 0.397698i \(-0.869809\pi\)
0.992395 0.123094i \(-0.0392817\pi\)
\(570\) 7.82155 + 17.1268i 0.327609 + 0.717363i
\(571\) −4.46987 31.0886i −0.187058 1.30102i −0.839575 0.543244i \(-0.817196\pi\)
0.652517 0.757774i \(-0.273713\pi\)
\(572\) −42.2885 + 27.1772i −1.76817 + 1.13633i
\(573\) 6.82127 7.87217i 0.284963 0.328865i
\(574\) 2.24942 0.0938891
\(575\) 21.7585 26.6297i 0.907394 1.11053i
\(576\) −8.93540 −0.372308
\(577\) 17.8241 20.5701i 0.742027 0.856345i −0.251743 0.967794i \(-0.581004\pi\)
0.993770 + 0.111449i \(0.0355492\pi\)
\(578\) 23.7442 15.2595i 0.987629 0.634711i
\(579\) −2.98808 20.7826i −0.124181 0.863695i
\(580\) −26.4155 57.8419i −1.09684 2.40175i
\(581\) −1.00362 + 6.98033i −0.0416372 + 0.289593i
\(582\) 0.940451 0.276141i 0.0389829 0.0114464i
\(583\) −20.9752 13.4799i −0.868703 0.558281i
\(584\) 0.729072 1.59645i 0.0301692 0.0660614i
\(585\) 16.0587 + 4.71525i 0.663944 + 0.194952i
\(586\) 24.5223 + 28.3002i 1.01301 + 1.16907i
\(587\) −15.0054 17.3172i −0.619341 0.714758i 0.356241 0.934394i \(-0.384058\pi\)
−0.975582 + 0.219636i \(0.929513\pi\)
\(588\) −2.03489 0.597496i −0.0839173 0.0246403i
\(589\) 7.32441 16.0382i 0.301797 0.660843i
\(590\) −76.3281 49.0531i −3.14238 2.01948i
\(591\) −14.6172 + 4.29201i −0.601273 + 0.176550i
\(592\) 4.94947 34.4243i 0.203422 1.41483i
\(593\) −11.5088 25.2007i −0.472608 1.03487i −0.984430 0.175776i \(-0.943757\pi\)
0.511822 0.859092i \(-0.328971\pi\)
\(594\) −1.42733 9.92730i −0.0585640 0.407322i
\(595\) 5.16392 3.31865i 0.211700 0.136051i
\(596\) 5.89751 6.80609i 0.241571 0.278788i
\(597\) −11.1437 −0.456081
\(598\) 38.5443 26.3768i 1.57619 1.07863i
\(599\) 27.0207 1.10404 0.552019 0.833832i \(-0.313858\pi\)
0.552019 + 0.833832i \(0.313858\pi\)
\(600\) 1.15141 1.32880i 0.0470062 0.0542480i
\(601\) −34.0015 + 21.8514i −1.38695 + 0.891339i −0.999533 0.0305653i \(-0.990269\pi\)
−0.387418 + 0.921904i \(0.626633\pi\)
\(602\) −1.42250 9.89371i −0.0579768 0.403237i
\(603\) 4.49620 + 9.84530i 0.183099 + 0.400932i
\(604\) −3.38416 + 23.5374i −0.137700 + 0.957722i
\(605\) 44.8874 13.1801i 1.82493 0.535848i
\(606\) 17.1412 + 11.0160i 0.696314 + 0.447494i
\(607\) −5.00293 + 10.9549i −0.203062 + 0.444645i −0.983576 0.180494i \(-0.942230\pi\)
0.780514 + 0.625139i \(0.214958\pi\)
\(608\) −20.6382 6.05991i −0.836988 0.245762i
\(609\) 5.62825 + 6.49534i 0.228068 + 0.263205i
\(610\) 52.7853 + 60.9175i 2.13721 + 2.46648i
\(611\) −42.0007 12.3325i −1.69917 0.498920i
\(612\) 1.55017 3.39440i 0.0626619 0.137210i
\(613\) −24.8035 15.9402i −1.00180 0.643820i −0.0665439 0.997783i \(-0.521197\pi\)
−0.935259 + 0.353964i \(0.884834\pi\)
\(614\) −7.84233 + 2.30272i −0.316491 + 0.0929300i
\(615\) 0.550155 3.82641i 0.0221844 0.154296i
\(616\) −0.503266 1.10200i −0.0202772 0.0444008i
\(617\) 0.238232 + 1.65694i 0.00959085 + 0.0667059i 0.994055 0.108881i \(-0.0347268\pi\)
−0.984464 + 0.175587i \(0.943818\pi\)
\(618\) −25.3918 + 16.3183i −1.02141 + 0.656418i
\(619\) −25.2883 + 29.1842i −1.01642 + 1.17301i −0.0315907 + 0.999501i \(0.510057\pi\)
−0.984832 + 0.173513i \(0.944488\pi\)
\(620\) −49.0656 −1.97052
\(621\) 0.819544 + 4.72529i 0.0328872 + 0.189619i
\(622\) −19.5987 −0.785835
\(623\) −4.02357 + 4.64345i −0.161201 + 0.186036i
\(624\) −15.1097 + 9.71041i −0.604872 + 0.388727i
\(625\) 1.34293 + 9.34025i 0.0537170 + 0.373610i
\(626\) 21.0499 + 46.0929i 0.841324 + 1.84224i
\(627\) 1.86939 13.0019i 0.0746562 0.519245i
\(628\) −18.8597 + 5.53771i −0.752584 + 0.220979i
\(629\) 13.7505 + 8.83691i 0.548268 + 0.352351i
\(630\) −2.94189 + 6.44185i −0.117208 + 0.256649i
\(631\) −14.7568 4.33299i −0.587459 0.172493i −0.0255229 0.999674i \(-0.508125\pi\)
−0.561936 + 0.827181i \(0.689943\pi\)
\(632\) −1.85106 2.13624i −0.0736312 0.0849749i
\(633\) 6.89837 + 7.96114i 0.274185 + 0.316427i
\(634\) −57.6748 16.9348i −2.29056 0.672568i
\(635\) 17.3984 38.0972i 0.690434 1.51184i
\(636\) 9.00368 + 5.78631i 0.357019 + 0.229442i
\(637\) −4.60315 + 1.35161i −0.182383 + 0.0535526i
\(638\) −12.2673 + 85.3208i −0.485666 + 3.37788i
\(639\) −2.28991 5.01421i −0.0905875 0.198359i
\(640\) 0.972150 + 6.76145i 0.0384276 + 0.267270i
\(641\) 23.2649 14.9514i 0.918908 0.590546i 0.00656744 0.999978i \(-0.497910\pi\)
0.912341 + 0.409432i \(0.134273\pi\)
\(642\) −25.6063 + 29.5512i −1.01060 + 1.16629i
\(643\) 48.5335 1.91397 0.956987 0.290129i \(-0.0936983\pi\)
0.956987 + 0.290129i \(0.0936983\pi\)
\(644\) 4.49102 + 9.12575i 0.176971 + 0.359605i
\(645\) −17.1777 −0.676373
\(646\) 6.21876 7.17683i 0.244674 0.282369i
\(647\) 35.9305 23.0911i 1.41257 0.907807i 0.412580 0.910922i \(-0.364628\pi\)
0.999995 + 0.00311494i \(0.000991519\pi\)
\(648\) 0.0348965 + 0.242710i 0.00137086 + 0.00953456i
\(649\) 26.2953 + 57.5787i 1.03218 + 2.26016i
\(650\) 9.93812 69.1211i 0.389805 2.71115i
\(651\) 6.36307 1.86836i 0.249388 0.0732270i
\(652\) 22.1346 + 14.2251i 0.866859 + 0.557096i
\(653\) −0.308526 + 0.675577i −0.0120735 + 0.0264374i −0.915573 0.402152i \(-0.868262\pi\)
0.903499 + 0.428590i \(0.140989\pi\)
\(654\) −8.80356 2.58496i −0.344246 0.101080i
\(655\) 20.1603 + 23.2662i 0.787727 + 0.909085i
\(656\) 2.71672 + 3.13526i 0.106070 + 0.122411i
\(657\) 6.86750 + 2.01648i 0.267927 + 0.0786704i
\(658\) 7.69439 16.8484i 0.299958 0.656817i
\(659\) −17.3430 11.1456i −0.675585 0.434172i 0.157350 0.987543i \(-0.449705\pi\)
−0.832935 + 0.553371i \(0.813341\pi\)
\(660\) −35.0734 + 10.2985i −1.36523 + 0.400868i
\(661\) 3.85441 26.8080i 0.149919 1.04271i −0.766429 0.642329i \(-0.777968\pi\)
0.916348 0.400382i \(-0.131123\pi\)
\(662\) −14.6345 32.0450i −0.568784 1.24546i
\(663\) −1.20133 8.35543i −0.0466557 0.324498i
\(664\) 1.45471 0.934887i 0.0564538 0.0362807i
\(665\) −6.07392 + 7.00968i −0.235537 + 0.271824i
\(666\) −18.8575 −0.730712
\(667\) 4.68336 40.9512i 0.181340 1.58564i
\(668\) 14.8402 0.574186
\(669\) −15.0564 + 17.3760i −0.582114 + 0.671795i
\(670\) 64.4815 41.4397i 2.49114 1.60096i
\(671\) −8.00300 55.6621i −0.308953 2.14881i
\(672\) −3.36082 7.35917i −0.129647 0.283886i
\(673\) −0.781919 + 5.43837i −0.0301408 + 0.209634i −0.999326 0.0366978i \(-0.988316\pi\)
0.969186 + 0.246332i \(0.0792252\pi\)
\(674\) 5.24507 1.54009i 0.202033 0.0593221i
\(675\) 6.03222 + 3.87667i 0.232180 + 0.149213i
\(676\) 8.82403 19.3219i 0.339386 0.743151i
\(677\) −12.1162 3.55764i −0.465664 0.136731i 0.0404798 0.999180i \(-0.487111\pi\)
−0.506144 + 0.862449i \(0.668930\pi\)
\(678\) 4.58846 + 5.29537i 0.176219 + 0.203367i
\(679\) 0.316193 + 0.364907i 0.0121344 + 0.0140038i
\(680\) −1.44420 0.424054i −0.0553824 0.0162617i
\(681\) 7.37485 16.1487i 0.282605 0.618818i
\(682\) 55.9533 + 35.9590i 2.14256 + 1.37694i
\(683\) 22.6831 6.66035i 0.867944 0.254851i 0.182703 0.983168i \(-0.441515\pi\)
0.685241 + 0.728317i \(0.259697\pi\)
\(684\) −0.802443 + 5.58111i −0.0306822 + 0.213399i
\(685\) −9.16424 20.0669i −0.350148 0.766716i
\(686\) −0.288895 2.00931i −0.0110301 0.0767159i
\(687\) 2.57643 1.65577i 0.0982969 0.0631716i
\(688\) 12.0719 13.9317i 0.460237 0.531142i
\(689\) 24.2107 0.922356
\(690\) 32.2970 10.5072i 1.22953 0.400001i
\(691\) 2.78562 0.105970 0.0529850 0.998595i \(-0.483126\pi\)
0.0529850 + 0.998595i \(0.483126\pi\)
\(692\) 0.00236923 0.00273423i 9.00644e−5 0.000103940i
\(693\) 4.15634 2.67111i 0.157886 0.101467i
\(694\) −0.300158 2.08765i −0.0113939 0.0792460i
\(695\) 12.4052 + 27.1635i 0.470554 + 1.03037i
\(696\) 0.299920 2.08599i 0.0113684 0.0790693i
\(697\) −1.87077 + 0.549308i −0.0708605 + 0.0208065i
\(698\) −48.9950 31.4872i −1.85449 1.19181i
\(699\) −7.40033 + 16.2045i −0.279906 + 0.612909i
\(700\) 14.5912 + 4.28436i 0.551495 + 0.161933i
\(701\) −18.1861 20.9879i −0.686881 0.792703i 0.300037 0.953928i \(-0.403001\pi\)
−0.986918 + 0.161225i \(0.948456\pi\)
\(702\) 6.37753 + 7.36006i 0.240704 + 0.277788i
\(703\) −23.6974 6.95818i −0.893764 0.262433i
\(704\) 18.3392 40.1572i 0.691184 1.51348i
\(705\) −26.7783 17.2094i −1.00853 0.648142i
\(706\) −0.0654196 + 0.0192089i −0.00246210 + 0.000722937i
\(707\) −1.42848 + 9.93531i −0.0537236 + 0.373656i
\(708\) −11.2874 24.7159i −0.424206 0.928881i
\(709\) 2.07434 + 14.4274i 0.0779036 + 0.541832i 0.990977 + 0.134035i \(0.0427936\pi\)
−0.913073 + 0.407796i \(0.866297\pi\)
\(710\) −32.8404 + 21.1052i −1.23248 + 0.792065i
\(711\) 7.54899 8.71200i 0.283109 0.326726i
\(712\) 1.50659 0.0564617
\(713\) −27.2418 16.4137i −1.02021 0.614697i
\(714\) 3.57181 0.133672
\(715\) −54.1502 + 62.4927i −2.02510 + 2.33709i
\(716\) 17.9210 11.5172i 0.669741 0.430416i
\(717\) 0.282658 + 1.96593i 0.0105561 + 0.0734190i
\(718\) 7.15854 + 15.6750i 0.267154 + 0.584987i
\(719\) 5.04980 35.1221i 0.188326 1.30984i −0.648016 0.761627i \(-0.724401\pi\)
0.836342 0.548208i \(-0.184690\pi\)
\(720\) −12.5317 + 3.67965i −0.467031 + 0.137133i
\(721\) −12.5084 8.03868i −0.465838 0.299376i
\(722\) 10.0616 22.0317i 0.374452 0.819936i
\(723\) 3.62299 + 1.06381i 0.134741 + 0.0395634i
\(724\) −3.57134 4.12155i −0.132728 0.153176i
\(725\) −40.3574 46.5749i −1.49884 1.72975i
\(726\) 26.1192 + 7.66930i 0.969375 + 0.284634i
\(727\) −9.28169 + 20.3241i −0.344239 + 0.753778i −0.999999 0.00119096i \(-0.999621\pi\)
0.655760 + 0.754969i \(0.272348\pi\)
\(728\) 0.989627 + 0.635995i 0.0366780 + 0.0235715i
\(729\) −0.959493 + 0.281733i −0.0355368 + 0.0104345i
\(730\) 7.21360 50.1717i 0.266987 1.85694i
\(731\) 3.59909 + 7.88090i 0.133117 + 0.291486i
\(732\) 3.43532 + 23.8932i 0.126973 + 0.883118i
\(733\) 23.8356 15.3182i 0.880386 0.565790i −0.0205269 0.999789i \(-0.506534\pi\)
0.900913 + 0.433999i \(0.142898\pi\)
\(734\) 7.03809 8.12239i 0.259781 0.299803i
\(735\) −3.48863 −0.128680
\(736\) −15.0903 + 35.7448i −0.556236 + 1.31757i
\(737\) −53.4745 −1.96976
\(738\) 1.47306 1.70000i 0.0542240 0.0625779i
\(739\) 19.9531 12.8231i 0.733985 0.471704i −0.119491 0.992835i \(-0.538126\pi\)
0.853476 + 0.521132i \(0.174490\pi\)
\(740\) 9.78129 + 68.0303i 0.359567 + 2.50085i
\(741\) 5.29860 + 11.6023i 0.194649 + 0.426222i
\(742\) −1.45793 + 10.1401i −0.0535222 + 0.372255i
\(743\) −2.21438 + 0.650202i −0.0812379 + 0.0238536i −0.322099 0.946706i \(-0.604388\pi\)
0.240861 + 0.970560i \(0.422570\pi\)
\(744\) −1.36799 0.879154i −0.0501529 0.0322313i
\(745\) 6.15401 13.4754i 0.225465 0.493700i
\(746\) −7.54563 2.21560i −0.276265 0.0811188i
\(747\) 4.61815 + 5.32963i 0.168969 + 0.195001i
\(748\) 12.0734 + 13.9334i 0.441447 + 0.509457i
\(749\) −18.4820 5.42681i −0.675318 0.198291i
\(750\) 6.38542 13.9821i 0.233163 0.510555i
\(751\) −33.0754 21.2563i −1.20694 0.775652i −0.226795 0.973943i \(-0.572825\pi\)
−0.980143 + 0.198291i \(0.936461\pi\)
\(752\) 32.7762 9.62396i 1.19523 0.350950i
\(753\) −1.91540 + 13.3219i −0.0698011 + 0.485478i
\(754\) −34.7704 76.1366i −1.26626 2.77273i
\(755\) 5.56683 + 38.7181i 0.202598 + 1.40910i
\(756\) −1.78412 + 1.14659i −0.0648880 + 0.0417010i
\(757\) 22.6037 26.0860i 0.821545 0.948113i −0.177809 0.984065i \(-0.556901\pi\)
0.999354 + 0.0359518i \(0.0114463\pi\)
\(758\) −33.5065 −1.21701
\(759\) −22.9183 6.01510i −0.831881 0.218334i
\(760\) 2.27432 0.0824983
\(761\) 31.4406 36.2844i 1.13972 1.31531i 0.197503 0.980302i \(-0.436717\pi\)
0.942217 0.335004i \(-0.108738\pi\)
\(762\) 20.5017 13.1756i 0.742698 0.477303i
\(763\) −0.643245 4.47387i −0.0232870 0.161965i
\(764\) −9.17692 20.0946i −0.332009 0.726999i
\(765\) 0.873581 6.07589i 0.0315844 0.219674i
\(766\) 1.76566 0.518443i 0.0637957 0.0187321i
\(767\) −51.7074 33.2303i −1.86705 1.19988i
\(768\) 5.77259 12.6402i 0.208300 0.456114i
\(769\) −27.1287 7.96570i −0.978286 0.287251i −0.246769 0.969074i \(-0.579369\pi\)
−0.731516 + 0.681824i \(0.761187\pi\)
\(770\) −22.9128 26.4427i −0.825719 0.952930i
\(771\) 3.87305 + 4.46974i 0.139484 + 0.160974i
\(772\) −42.7251 12.5452i −1.53771 0.451512i
\(773\) −19.7170 + 43.1743i −0.709172 + 1.55287i 0.119311 + 0.992857i \(0.461932\pi\)
−0.828483 + 0.560014i \(0.810796\pi\)
\(774\) −8.40870 5.40395i −0.302245 0.194241i
\(775\) −45.6265 + 13.3971i −1.63895 + 0.481239i
\(776\) 0.0168494 0.117190i 0.000604860 0.00420689i
\(777\) −3.85900 8.45004i −0.138441 0.303144i
\(778\) −8.15335 56.7078i −0.292312 2.03307i
\(779\) 2.47841 1.59278i 0.0887983 0.0570672i
\(780\) 23.2442 26.8253i 0.832276 0.960498i
\(781\) 27.2345 0.974529
\(782\) −11.5874 12.6160i −0.414365 0.451146i
\(783\) 8.59457 0.307145
\(784\) 2.45168 2.82939i 0.0875601 0.101050i
\(785\) −27.2004 + 17.4807i −0.970825 + 0.623912i
\(786\) 2.54937 + 17.7313i 0.0909331 + 0.632454i
\(787\) −2.70940 5.93276i −0.0965796 0.211480i 0.855175 0.518339i \(-0.173449\pi\)
−0.951755 + 0.306859i \(0.900722\pi\)
\(788\) −4.59803 + 31.9800i −0.163798 + 1.13924i
\(789\) −30.5865 + 8.98099i −1.08891 + 0.319732i
\(790\) −68.6771 44.1361i −2.44342 1.57029i
\(791\) −1.43387 + 3.13974i −0.0509826 + 0.111636i
\(792\) −1.16240 0.341312i −0.0413042 0.0121280i
\(793\) 35.7587 + 41.2677i 1.26983 + 1.46546i
\(794\) 20.8781 + 24.0946i 0.740936 + 0.855085i
\(795\) 16.8924 + 4.96005i 0.599111 + 0.175915i
\(796\) −9.81771 + 21.4978i −0.347979 + 0.761969i
\(797\) −13.2329 8.50429i −0.468735 0.301238i 0.284869 0.958566i \(-0.408050\pi\)
−0.753604 + 0.657329i \(0.771686\pi\)
\(798\) −5.17843 + 1.52052i −0.183314 + 0.0538260i
\(799\) −2.28481 + 15.8912i −0.0808308 + 0.562190i
\(800\) 24.0988 + 52.7691i 0.852022 + 1.86567i
\(801\) 0.874405 + 6.08162i 0.0308956 + 0.214884i
\(802\) 14.7239 9.46249i 0.519920 0.334132i
\(803\) −23.1574 + 26.7251i −0.817207 + 0.943107i
\(804\) 22.9542 0.809531
\(805\) 11.3176 + 12.3221i 0.398891 + 0.434298i
\(806\) −64.5845 −2.27489
\(807\) 9.04939 10.4436i 0.318554 0.367630i
\(808\) 2.07054 1.33065i 0.0728412 0.0468122i
\(809\) 5.59745 + 38.9311i 0.196796 + 1.36874i 0.813507 + 0.581555i \(0.197556\pi\)
−0.616711 + 0.787189i \(0.711535\pi\)
\(810\) 2.94189 + 6.44185i 0.103368 + 0.226344i
\(811\) 3.56419 24.7895i 0.125156 0.870477i −0.826418 0.563057i \(-0.809625\pi\)
0.951574 0.307420i \(-0.0994657\pi\)
\(812\) 17.4890 5.13522i 0.613742 0.180211i
\(813\) 4.59197 + 2.95108i 0.161048 + 0.103499i
\(814\) 38.7034 84.7487i 1.35655 2.97044i
\(815\) 41.5282 + 12.1938i 1.45467 + 0.427130i
\(816\) 4.31383 + 4.97842i 0.151014 + 0.174280i
\(817\) −8.57287 9.89363i −0.299927 0.346134i
\(818\) −50.0030 14.6822i −1.74831 0.513351i
\(819\) −1.99295 + 4.36394i −0.0696392 + 0.152488i
\(820\) −6.89700 4.43243i −0.240854 0.154787i
\(821\) 39.3094 11.5423i 1.37191 0.402829i 0.488963 0.872304i \(-0.337375\pi\)
0.882945 + 0.469476i \(0.155557\pi\)
\(822\) 1.82684 12.7059i 0.0637183 0.443171i
\(823\) 8.22341 + 18.0068i 0.286650 + 0.627676i 0.997103 0.0760690i \(-0.0242369\pi\)
−0.710452 + 0.703745i \(0.751510\pi\)
\(824\) 0.518869 + 3.60881i 0.0180756 + 0.125719i
\(825\) −29.8031 + 19.1533i −1.03761 + 0.666831i
\(826\) 17.0315 19.6554i 0.592600 0.683897i
\(827\) 32.7838 1.14001 0.570003 0.821643i \(-0.306942\pi\)
0.570003 + 0.821643i \(0.306942\pi\)
\(828\) 9.83777 + 2.58201i 0.341886 + 0.0897309i
\(829\) −11.6319 −0.403991 −0.201996 0.979386i \(-0.564743\pi\)
−0.201996 + 0.979386i \(0.564743\pi\)
\(830\) 32.7049 37.7435i 1.13520 1.31009i
\(831\) −7.46777 + 4.79924i −0.259054 + 0.166484i
\(832\) 6.10067 + 42.4311i 0.211503 + 1.47103i
\(833\) 0.730938 + 1.60053i 0.0253255 + 0.0554551i
\(834\) −2.47290 + 17.1994i −0.0856294 + 0.595566i
\(835\) 23.4228 6.87755i 0.810579 0.238008i
\(836\) −23.4355 15.0611i −0.810534 0.520899i
\(837\) 2.75491 6.03240i 0.0952235 0.208510i
\(838\) 54.9223 + 16.1266i 1.89726 + 0.557086i
\(839\) −1.70326 1.96567i −0.0588032 0.0678625i 0.725586 0.688132i \(-0.241569\pi\)
−0.784389 + 0.620269i \(0.787023\pi\)
\(840\) 0.560189 + 0.646493i 0.0193284 + 0.0223061i
\(841\) −43.0492 12.6404i −1.48446 0.435876i
\(842\) 6.48598 14.2023i 0.223522 0.489444i
\(843\) 12.1059 + 7.77996i 0.416948 + 0.267956i
\(844\) 21.4357 6.29408i 0.737847 0.216651i
\(845\) 4.97269 34.5858i 0.171066 1.18979i
\(846\) −7.69439 16.8484i −0.264539 0.579259i
\(847\) 1.90844 + 13.2735i 0.0655747 + 0.456082i
\(848\) −15.8941 + 10.2145i −0.545807 + 0.350769i
\(849\) 9.19229 10.6085i 0.315478 0.364082i
\(850\) −25.6117 −0.878476
\(851\) −17.3272 + 41.0434i −0.593968 + 1.40695i
\(852\) −11.6905 −0.400511
\(853\) −18.9120 + 21.8257i −0.647536 + 0.747297i −0.980688 0.195576i \(-0.937342\pi\)
0.333152 + 0.942873i \(0.391888\pi\)
\(854\) −19.4373 + 12.4916i −0.665131 + 0.427454i
\(855\) 1.31999 + 9.18073i 0.0451427 + 0.313974i
\(856\) 1.96210 + 4.29640i 0.0670632 + 0.146848i
\(857\) −3.78314 + 26.3123i −0.129230 + 0.898812i 0.817304 + 0.576207i \(0.195468\pi\)
−0.946534 + 0.322605i \(0.895441\pi\)
\(858\) −46.1667 + 13.5558i −1.57611 + 0.462787i
\(859\) 28.2125 + 18.1311i 0.962599 + 0.618625i 0.924716 0.380658i \(-0.124302\pi\)
0.0378826 + 0.999282i \(0.487939\pi\)
\(860\) −15.1338 + 33.1383i −0.516057 + 1.13001i
\(861\) 1.06322 + 0.312189i 0.0362344 + 0.0106394i
\(862\) 17.6553 + 20.3753i 0.601341 + 0.693984i
\(863\) 20.5543 + 23.7209i 0.699676 + 0.807470i 0.988709 0.149850i \(-0.0478790\pi\)
−0.289032 + 0.957319i \(0.593334\pi\)
\(864\) −7.76256 2.27929i −0.264088 0.0775432i
\(865\) 0.00247227 0.00541352i 8.40597e−5 0.000184065i
\(866\) 2.92604 + 1.88045i 0.0994308 + 0.0639003i
\(867\) 13.3408 3.91722i 0.453078 0.133036i
\(868\) 2.00158 13.9213i 0.0679381 0.472520i
\(869\) 23.6595 + 51.8071i 0.802594 + 1.75744i
\(870\) −8.66202 60.2457i −0.293670 2.04252i
\(871\) 43.6821 28.0728i 1.48011 0.951210i
\(872\) −0.725783 + 0.837598i −0.0245781 + 0.0283646i
\(873\) 0.482841 0.0163417
\(874\) 22.1701 + 13.3579i 0.749915 + 0.451837i
\(875\) 7.57211 0.255984
\(876\) 9.94041 11.4718i 0.335855 0.387598i
\(877\) −18.7710 + 12.0634i −0.633852 + 0.407352i −0.817734 0.575596i \(-0.804770\pi\)
0.183882 + 0.982948i \(0.441134\pi\)
\(878\) 2.79310 + 19.4264i 0.0942626 + 0.655610i
\(879\) 7.66309 + 16.7798i 0.258470 + 0.565970i
\(880\) 9.18340 63.8720i 0.309572 2.15312i
\(881\) −19.6810 + 5.77887i −0.663071 + 0.194695i −0.595915 0.803047i \(-0.703211\pi\)
−0.0671556 + 0.997743i \(0.521392\pi\)
\(882\) −1.70772 1.09749i −0.0575020 0.0369543i
\(883\) −0.624730 + 1.36797i −0.0210238 + 0.0460358i −0.919853 0.392264i \(-0.871692\pi\)
0.898829 + 0.438300i \(0.144419\pi\)
\(884\) −17.1772 5.04367i −0.577731 0.169637i
\(885\) −29.2695 33.7789i −0.983885 1.13546i
\(886\) 34.2919 + 39.5749i 1.15206 + 1.32955i
\(887\) 25.6462 + 7.53040i 0.861114 + 0.252846i 0.682332 0.731043i \(-0.260966\pi\)
0.178782 + 0.983889i \(0.442784\pi\)
\(888\) −0.946252 + 2.07200i −0.0317541 + 0.0695318i
\(889\) 10.0995 + 6.49054i 0.338726 + 0.217686i
\(890\) 41.7493 12.2587i 1.39944 0.410913i
\(891\) 0.703127 4.89036i 0.0235556 0.163833i
\(892\) 20.2559 + 44.3543i 0.678219 + 1.48509i
\(893\) −3.45237 24.0118i −0.115529 0.803523i
\(894\) 7.25168 4.66037i 0.242532 0.155866i
\(895\) 22.9478 26.4832i 0.767061 0.885236i
\(896\) −1.95807 −0.0654146
\(897\) 21.8792 7.11793i 0.730525 0.237661i
\(898\) 27.0551 0.902839
\(899\) −37.3248 + 43.0751i −1.24485 + 1.43664i
\(900\) 12.7931 8.22162i 0.426436 0.274054i
\(901\) −1.26370 8.78922i −0.0420999 0.292811i
\(902\) 4.61675 + 10.1093i 0.153721 + 0.336602i
\(903\) 0.700748 4.87381i 0.0233194 0.162190i
\(904\) 0.812084 0.238449i 0.0270095 0.00793071i
\(905\) −7.54685 4.85006i −0.250866 0.161222i
\(906\) −9.45531 + 20.7042i −0.314132 + 0.687852i
\(907\) 27.5389 + 8.08614i 0.914413 + 0.268496i 0.704897 0.709310i \(-0.250993\pi\)
0.209516 + 0.977805i \(0.432811\pi\)
\(908\) −24.6557 28.4542i −0.818230 0.944287i
\(909\) 6.57315 + 7.58582i 0.218018 + 0.251606i
\(910\) 32.5987 + 9.57183i 1.08064 + 0.317303i
\(911\) −3.32984 + 7.29134i −0.110323 + 0.241573i −0.956738 0.290950i \(-0.906029\pi\)
0.846416 + 0.532523i \(0.178756\pi\)
\(912\) −8.37352 5.38133i −0.277275 0.178194i
\(913\) −33.4306 + 9.81612i −1.10639 + 0.324866i
\(914\) 5.75705 40.0412i 0.190426 1.32444i
\(915\) 16.4951 + 36.1193i 0.545312 + 1.19407i
\(916\) −0.924357 6.42904i −0.0305416 0.212421i
\(917\) −7.42369 + 4.77091i −0.245152 + 0.157549i
\(918\) 2.33904 2.69940i 0.0771999 0.0890934i
\(919\) −47.1458 −1.55520 −0.777599 0.628760i \(-0.783563\pi\)
−0.777599 + 0.628760i \(0.783563\pi\)
\(920\) 0.466143 4.07594i 0.0153683 0.134380i
\(921\) −4.02636 −0.132673
\(922\) −0.639724 + 0.738281i −0.0210682 + 0.0243140i
\(923\) −22.2473 + 14.2974i −0.732278 + 0.470606i
\(924\) −1.49119 10.3714i −0.0490565 0.341195i
\(925\) 27.6710 + 60.5911i 0.909818 + 1.99222i
\(926\) 11.1087 77.2626i 0.365054 2.53901i
\(927\) −14.2665 + 4.18902i −0.468573 + 0.137586i
\(928\) 58.4944 + 37.5921i 1.92017 + 1.23402i
\(929\) −21.9593 + 48.0841i −0.720460 + 1.57759i 0.0927984 + 0.995685i \(0.470419\pi\)
−0.813258 + 0.581903i \(0.802308\pi\)
\(930\) −45.0621 13.2314i −1.47764 0.433875i
\(931\) −1.74106 2.00930i −0.0570611 0.0658520i
\(932\) 24.7409 + 28.5526i 0.810416 + 0.935270i
\(933\) −9.26356 2.72003i −0.303275 0.0890496i
\(934\) 3.17565 6.95371i 0.103911 0.227532i
\(935\) 25.5131 + 16.3963i 0.834368 + 0.536216i
\(936\) 1.12872 0.331422i 0.0368934 0.0108329i
\(937\) −5.19135 + 36.1067i −0.169594 + 1.17955i 0.710131 + 0.704070i \(0.248636\pi\)
−0.879725 + 0.475483i \(0.842273\pi\)
\(938\) 9.12717 + 19.9857i 0.298013 + 0.652556i
\(939\) 3.55245 + 24.7078i 0.115930 + 0.806310i
\(940\) −56.7912 + 36.4975i −1.85233 + 1.19042i
\(941\) −13.1773 + 15.2074i −0.429567 + 0.495747i −0.928728 0.370763i \(-0.879096\pi\)
0.499160 + 0.866510i \(0.333642\pi\)
\(942\) −18.8142 −0.612999
\(943\) −2.34654 4.76816i −0.0764138 0.155273i
\(944\) 47.9654 1.56114
\(945\) −2.28456 + 2.63653i −0.0743169 + 0.0857663i
\(946\) 41.5444 26.6990i 1.35073 0.868059i
\(947\) −6.07864 42.2779i −0.197529 1.37385i −0.811424 0.584458i \(-0.801307\pi\)
0.613895 0.789388i \(-0.289602\pi\)
\(948\) −10.1559 22.2384i −0.329850 0.722270i
\(949\) 4.88675 33.9881i 0.158631 1.10330i
\(950\) 37.1320 10.9029i 1.20472 0.353738i
\(951\) −24.9104 16.0089i −0.807775 0.519125i
\(952\) 0.179231 0.392460i 0.00580890 0.0127197i
\(953\) 1.72447 + 0.506350i 0.0558610 + 0.0164023i 0.309544 0.950885i \(-0.399824\pi\)
−0.253683 + 0.967287i \(0.581642\pi\)
\(954\) 6.70864 + 7.74218i 0.217200 + 0.250662i
\(955\) −23.7969 27.4631i −0.770049 0.888683i
\(956\) 4.04158 + 1.18672i 0.130714 + 0.0383811i
\(957\) −17.6397 + 38.6255i −0.570209 + 1.24858i
\(958\) 23.1728 + 14.8922i 0.748678 + 0.481146i
\(959\) 6.06739 1.78155i 0.195926 0.0575291i
\(960\) −4.43628 + 30.8550i −0.143180 + 0.995840i
\(961\) 5.39184 + 11.8065i 0.173930 + 0.380854i
\(962\) 12.8750 + 89.5475i 0.415106 + 2.88713i
\(963\) −16.2045 + 10.4140i −0.522181 + 0.335585i
\(964\) 5.24412 6.05204i 0.168902 0.194923i
\(965\) −73.2482 −2.35794
\(966\) 1.66365 + 9.59221i 0.0535272 + 0.308624i
\(967\) 35.8190 1.15186 0.575931 0.817498i \(-0.304640\pi\)
0.575931 + 0.817498i \(0.304640\pi\)
\(968\) 2.15332 2.48506i 0.0692103 0.0798729i
\(969\) 3.93542 2.52914i 0.126424 0.0812477i
\(970\) −0.486630 3.38459i −0.0156247 0.108673i
\(971\) −9.68000 21.1963i −0.310646 0.680220i 0.688333 0.725395i \(-0.258343\pi\)
−0.998979 + 0.0451748i \(0.985616\pi\)
\(972\) −0.301820 + 2.09921i −0.00968089 + 0.0673321i
\(973\) −8.21310 + 2.41158i −0.263300 + 0.0773119i
\(974\) 18.5995 + 11.9532i 0.595966 + 0.383004i
\(975\) 14.2904 31.2917i 0.457660 1.00214i
\(976\) −40.8862 12.0053i −1.30873 0.384279i
\(977\) −29.8511 34.4500i −0.955020 1.10215i −0.994688 0.102939i \(-0.967175\pi\)
0.0396672 0.999213i \(-0.487370\pi\)
\(978\) 16.4925 + 19.0334i 0.527372 + 0.608620i
\(979\) −29.1265 8.55231i −0.930886 0.273333i
\(980\) −3.07351 + 6.73005i −0.0981797 + 0.214984i
\(981\) −3.80236 2.44363i −0.121400 0.0780190i
\(982\) −77.3393 + 22.7089i −2.46800 + 0.724669i
\(983\) −3.44445 + 23.9566i −0.109861 + 0.764098i 0.858188 + 0.513336i \(0.171590\pi\)
−0.968049 + 0.250763i \(0.919319\pi\)
\(984\) −0.112874 0.247160i −0.00359829 0.00787916i
\(985\) 7.56359 + 52.6059i 0.240996 + 1.67616i
\(986\) −25.8250 + 16.5967i −0.822435 + 0.528547i
\(987\) 5.97517 6.89572i 0.190192 0.219493i
\(988\) 27.0506 0.860595
\(989\) −19.4880 + 13.3362i −0.619683 + 0.424065i
\(990\) −34.9888 −1.11202
\(991\) 10.0684 11.6196i 0.319834 0.369108i −0.572952 0.819589i \(-0.694202\pi\)
0.892786 + 0.450481i \(0.148747\pi\)
\(992\) 45.1351 29.0066i 1.43304 0.920960i
\(993\) −2.46976 17.1775i −0.0783753 0.545112i
\(994\) −4.64846 10.1787i −0.147440 0.322849i
\(995\) −5.53266 + 38.4805i −0.175397 + 1.21991i
\(996\) 14.3502 4.21361i 0.454705 0.133513i
\(997\) 40.9602 + 26.3235i 1.29722 + 0.833674i 0.992906 0.118898i \(-0.0379361\pi\)
0.304315 + 0.952571i \(0.401572\pi\)
\(998\) −8.49106 + 18.5928i −0.268780 + 0.588546i
\(999\) −8.91323 2.61716i −0.282002 0.0828032i
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 483.2.q.f.85.7 80
23.13 even 11 inner 483.2.q.f.358.7 yes 80
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
483.2.q.f.85.7 80 1.1 even 1 trivial
483.2.q.f.358.7 yes 80 23.13 even 11 inner