Properties

Label 135.4.q.a.113.9
Level $135$
Weight $4$
Character 135.113
Analytic conductor $7.965$
Analytic rank $0$
Dimension $624$
CM no
Inner twists $4$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [135,4,Mod(2,135)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(135, base_ring=CyclotomicField(36))
 
chi = DirichletCharacter(H, H._module([2, 9]))
 
N = Newforms(chi, 4, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("135.2");
 
S:= CuspForms(chi, 4);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 135 = 3^{3} \cdot 5 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 135.q (of order \(36\), degree \(12\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(7.96525785077\)
Analytic rank: \(0\)
Dimension: \(624\)
Relative dimension: \(52\) over \(\Q(\zeta_{36})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{36}]$

Embedding invariants

Embedding label 113.9
Character \(\chi\) \(=\) 135.113
Dual form 135.4.q.a.92.9

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-4.06508 - 0.355649i) q^{2} +(5.18369 - 0.359649i) q^{3} +(8.51994 + 1.50230i) q^{4} +(10.6854 + 3.28964i) q^{5} +(-21.2000 - 0.381568i) q^{6} +(8.64567 + 6.05376i) q^{7} +(-2.56745 - 0.687946i) q^{8} +(26.7413 - 3.72862i) q^{9} +O(q^{10})\) \(q+(-4.06508 - 0.355649i) q^{2} +(5.18369 - 0.359649i) q^{3} +(8.51994 + 1.50230i) q^{4} +(10.6854 + 3.28964i) q^{5} +(-21.2000 - 0.381568i) q^{6} +(8.64567 + 6.05376i) q^{7} +(-2.56745 - 0.687946i) q^{8} +(26.7413 - 3.72862i) q^{9} +(-42.2672 - 17.1729i) q^{10} +(-16.2525 + 44.6534i) q^{11} +(44.7051 + 4.72325i) q^{12} +(-2.14767 - 24.5480i) q^{13} +(-32.9923 - 27.6839i) q^{14} +(56.5730 + 13.2095i) q^{15} +(-54.8449 - 19.9619i) q^{16} +(-103.542 + 27.7441i) q^{17} +(-110.032 + 5.64665i) q^{18} +(75.6711 - 43.6887i) q^{19} +(86.0972 + 44.0802i) q^{20} +(46.9937 + 28.2714i) q^{21} +(81.9487 - 175.740i) q^{22} +(109.172 + 155.914i) q^{23} +(-13.5563 - 2.64272i) q^{24} +(103.357 + 70.3024i) q^{25} +100.553i q^{26} +(137.278 - 28.9455i) q^{27} +(64.5661 + 64.5661i) q^{28} +(23.0797 - 19.3662i) q^{29} +(-225.276 - 73.8177i) q^{30} +(32.5604 - 184.659i) q^{31} +(235.121 + 109.639i) q^{32} +(-68.1884 + 237.315i) q^{33} +(430.775 - 75.9573i) q^{34} +(72.4679 + 93.1281i) q^{35} +(233.436 + 8.40570i) q^{36} +(115.412 + 430.725i) q^{37} +(-323.147 + 150.686i) q^{38} +(-19.9615 - 126.477i) q^{39} +(-25.1712 - 15.7970i) q^{40} +(103.289 - 123.095i) q^{41} +(-180.979 - 131.639i) q^{42} +(-118.982 - 255.157i) q^{43} +(-205.553 + 356.029i) q^{44} +(298.008 + 48.1274i) q^{45} +(-388.343 - 672.630i) q^{46} +(83.6116 - 119.410i) q^{47} +(-291.478 - 83.7514i) q^{48} +(-79.2134 - 217.637i) q^{49} +(-395.150 - 322.544i) q^{50} +(-526.753 + 181.056i) q^{51} +(18.5803 - 212.374i) q^{52} +(-173.961 + 173.961i) q^{53} +(-568.339 + 68.8433i) q^{54} +(-320.559 + 423.676i) q^{55} +(-18.0326 - 21.4905i) q^{56} +(376.543 - 253.684i) q^{57} +(-100.708 + 70.5168i) q^{58} +(206.014 - 74.9828i) q^{59} +(462.155 + 197.533i) q^{60} +(-66.4674 - 376.955i) q^{61} +(-198.034 + 739.074i) q^{62} +(253.769 + 129.649i) q^{63} +(-512.432 - 295.853i) q^{64} +(57.8053 - 269.371i) q^{65} +(361.592 - 940.453i) q^{66} +(-310.789 + 27.1905i) q^{67} +(-923.855 + 80.8268i) q^{68} +(621.989 + 768.946i) q^{69} +(-261.467 - 404.347i) q^{70} +(-560.835 - 323.798i) q^{71} +(-71.2220 - 8.82352i) q^{72} +(-122.139 + 455.828i) q^{73} +(-315.974 - 1791.98i) q^{74} +(561.053 + 327.254i) q^{75} +(710.347 - 258.545i) q^{76} +(-410.835 + 287.670i) q^{77} +(36.1640 + 521.238i) q^{78} +(513.840 + 612.371i) q^{79} +(-520.373 - 393.721i) q^{80} +(701.195 - 199.416i) q^{81} +(-463.657 + 463.657i) q^{82} +(43.5085 - 497.304i) q^{83} +(357.912 + 311.469i) q^{84} +(-1197.66 - 44.1598i) q^{85} +(392.924 + 1079.55i) q^{86} +(112.673 - 108.689i) q^{87} +(72.4466 - 103.464i) q^{88} +(-159.941 - 277.025i) q^{89} +(-1194.31 - 301.628i) q^{90} +(130.040 - 225.235i) q^{91} +(695.912 + 1492.39i) q^{92} +(102.370 - 968.926i) q^{93} +(-382.356 + 455.674i) q^{94} +(952.298 - 217.902i) q^{95} +(1258.23 + 483.773i) q^{96} +(713.165 - 332.554i) q^{97} +(244.607 + 912.884i) q^{98} +(-268.118 + 1254.69i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 624 q - 12 q^{2} - 12 q^{3} - 12 q^{5} - 12 q^{7} - 18 q^{8}+O(q^{10}) \) Copy content Toggle raw display \( 624 q - 12 q^{2} - 12 q^{3} - 12 q^{5} - 12 q^{7} - 18 q^{8} - 6 q^{10} - 12 q^{12} - 12 q^{13} - 12 q^{15} - 24 q^{16} - 18 q^{17} + 702 q^{18} + 756 q^{20} - 24 q^{21} - 12 q^{22} - 324 q^{23} + 420 q^{25} - 900 q^{27} - 24 q^{28} - 1020 q^{30} - 24 q^{31} + 1752 q^{32} + 516 q^{33} + 2466 q^{35} + 984 q^{36} - 6 q^{37} - 132 q^{38} - 396 q^{40} + 1680 q^{41} - 2256 q^{42} - 12 q^{43} - 1332 q^{45} - 12 q^{46} - 3480 q^{47} - 3228 q^{48} - 684 q^{50} - 6840 q^{51} + 84 q^{52} - 24 q^{55} - 4752 q^{56} + 1842 q^{57} - 12 q^{58} - 2376 q^{60} - 132 q^{61} - 18 q^{62} + 2592 q^{63} + 2076 q^{65} + 9864 q^{66} + 3660 q^{67} + 2676 q^{68} - 12 q^{70} - 36 q^{71} + 1908 q^{72} - 6 q^{73} + 9300 q^{75} - 792 q^{76} - 3324 q^{77} - 606 q^{78} - 3336 q^{81} - 24 q^{82} - 2832 q^{83} - 12 q^{85} - 12516 q^{86} - 8640 q^{87} - 3036 q^{88} - 14532 q^{90} - 12 q^{91} - 1938 q^{92} + 6804 q^{93} - 4302 q^{95} + 3732 q^{96} + 6900 q^{97} - 5832 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/135\mathbb{Z}\right)^\times\).

\(n\) \(56\) \(82\)
\(\chi(n)\) \(e\left(\frac{5}{18}\right)\) \(e\left(\frac{3}{4}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −4.06508 0.355649i −1.43722 0.125741i −0.658251 0.752799i \(-0.728703\pi\)
−0.778973 + 0.627058i \(0.784259\pi\)
\(3\) 5.18369 0.359649i 0.997602 0.0692146i
\(4\) 8.51994 + 1.50230i 1.06499 + 0.187787i
\(5\) 10.6854 + 3.28964i 0.955733 + 0.294234i
\(6\) −21.2000 0.381568i −1.44248 0.0259624i
\(7\) 8.64567 + 6.05376i 0.466822 + 0.326872i 0.783210 0.621758i \(-0.213581\pi\)
−0.316388 + 0.948630i \(0.602470\pi\)
\(8\) −2.56745 0.687946i −0.113466 0.0304032i
\(9\) 26.7413 3.72862i 0.990419 0.138097i
\(10\) −42.2672 17.1729i −1.33661 0.543055i
\(11\) −16.2525 + 44.6534i −0.445483 + 1.22396i 0.490354 + 0.871523i \(0.336868\pi\)
−0.935837 + 0.352432i \(0.885355\pi\)
\(12\) 44.7051 + 4.72325i 1.07544 + 0.113624i
\(13\) −2.14767 24.5480i −0.0458198 0.523722i −0.984072 0.177770i \(-0.943112\pi\)
0.938252 0.345952i \(-0.112444\pi\)
\(14\) −32.9923 27.6839i −0.629827 0.528487i
\(15\) 56.5730 + 13.2095i 0.973807 + 0.227378i
\(16\) −54.8449 19.9619i −0.856951 0.311905i
\(17\) −103.542 + 27.7441i −1.47722 + 0.395819i −0.905399 0.424561i \(-0.860429\pi\)
−0.571819 + 0.820380i \(0.693762\pi\)
\(18\) −110.032 + 5.64665i −1.44082 + 0.0739404i
\(19\) 75.6711 43.6887i 0.913692 0.527520i 0.0320747 0.999485i \(-0.489789\pi\)
0.881617 + 0.471965i \(0.156455\pi\)
\(20\) 86.0972 + 44.0802i 0.962596 + 0.492832i
\(21\) 46.9937 + 28.2714i 0.488327 + 0.293778i
\(22\) 81.9487 175.740i 0.794160 1.70308i
\(23\) 109.172 + 155.914i 0.989738 + 1.41349i 0.909019 + 0.416755i \(0.136833\pi\)
0.0807189 + 0.996737i \(0.474278\pi\)
\(24\) −13.5563 2.64272i −0.115298 0.0224768i
\(25\) 103.357 + 70.3024i 0.826852 + 0.562419i
\(26\) 100.553i 0.758468i
\(27\) 137.278 28.9455i 0.978485 0.206317i
\(28\) 64.5661 + 64.5661i 0.435780 + 0.435780i
\(29\) 23.0797 19.3662i 0.147786 0.124007i −0.565897 0.824476i \(-0.691470\pi\)
0.713683 + 0.700469i \(0.247026\pi\)
\(30\) −225.276 73.8177i −1.37099 0.449240i
\(31\) 32.5604 184.659i 0.188646 1.06986i −0.732536 0.680729i \(-0.761663\pi\)
0.921181 0.389134i \(-0.127226\pi\)
\(32\) 235.121 + 109.639i 1.29887 + 0.605675i
\(33\) −68.1884 + 237.315i −0.359700 + 1.25185i
\(34\) 430.775 75.9573i 2.17286 0.383134i
\(35\) 72.4679 + 93.1281i 0.349980 + 0.449758i
\(36\) 233.436 + 8.40570i 1.08072 + 0.0389153i
\(37\) 115.412 + 430.725i 0.512803 + 1.91381i 0.388122 + 0.921608i \(0.373124\pi\)
0.124681 + 0.992197i \(0.460209\pi\)
\(38\) −323.147 + 150.686i −1.37951 + 0.643276i
\(39\) −19.9615 126.477i −0.0819591 0.519295i
\(40\) −25.1712 15.7970i −0.0994978 0.0624430i
\(41\) 103.289 123.095i 0.393440 0.468883i −0.532568 0.846387i \(-0.678773\pi\)
0.926008 + 0.377504i \(0.123217\pi\)
\(42\) −180.979 131.639i −0.664895 0.483627i
\(43\) −118.982 255.157i −0.421966 0.904908i −0.996272 0.0862677i \(-0.972506\pi\)
0.574306 0.818640i \(-0.305272\pi\)
\(44\) −205.553 + 356.029i −0.704280 + 1.21985i
\(45\) 298.008 + 48.1274i 0.987209 + 0.159431i
\(46\) −388.343 672.630i −1.24474 2.15595i
\(47\) 83.6116 119.410i 0.259490 0.370590i −0.668175 0.744004i \(-0.732924\pi\)
0.927665 + 0.373415i \(0.121813\pi\)
\(48\) −291.478 83.7514i −0.876484 0.251843i
\(49\) −79.2134 217.637i −0.230943 0.634510i
\(50\) −395.150 322.544i −1.11765 0.912291i
\(51\) −526.753 + 181.056i −1.44628 + 0.497115i
\(52\) 18.5803 212.374i 0.0495505 0.566365i
\(53\) −173.961 + 173.961i −0.450857 + 0.450857i −0.895639 0.444782i \(-0.853281\pi\)
0.444782 + 0.895639i \(0.353281\pi\)
\(54\) −568.339 + 68.8433i −1.43224 + 0.173489i
\(55\) −320.559 + 423.676i −0.785893 + 1.03870i
\(56\) −18.0326 21.4905i −0.0430306 0.0512819i
\(57\) 376.543 253.684i 0.874989 0.589496i
\(58\) −100.708 + 70.5168i −0.227994 + 0.159643i
\(59\) 206.014 74.9828i 0.454588 0.165457i −0.104570 0.994518i \(-0.533347\pi\)
0.559158 + 0.829061i \(0.311124\pi\)
\(60\) 462.155 + 197.533i 0.994398 + 0.425024i
\(61\) −66.4674 376.955i −0.139513 0.791216i −0.971610 0.236587i \(-0.923971\pi\)
0.832098 0.554629i \(-0.187140\pi\)
\(62\) −198.034 + 739.074i −0.405651 + 1.51391i
\(63\) 253.769 + 129.649i 0.507490 + 0.259274i
\(64\) −512.432 295.853i −1.00084 0.577837i
\(65\) 57.8053 269.371i 0.110306 0.514021i
\(66\) 361.592 940.453i 0.674378 1.75397i
\(67\) −310.789 + 27.1905i −0.566700 + 0.0495799i −0.366906 0.930258i \(-0.619583\pi\)
−0.199794 + 0.979838i \(0.564027\pi\)
\(68\) −923.855 + 80.8268i −1.64756 + 0.144143i
\(69\) 621.989 + 768.946i 1.08520 + 1.34160i
\(70\) −261.467 404.347i −0.446447 0.690410i
\(71\) −560.835 323.798i −0.937448 0.541236i −0.0482888 0.998833i \(-0.515377\pi\)
−0.889160 + 0.457597i \(0.848710\pi\)
\(72\) −71.2220 8.82352i −0.116578 0.0144425i
\(73\) −122.139 + 455.828i −0.195825 + 0.730830i 0.796226 + 0.604999i \(0.206826\pi\)
−0.992052 + 0.125831i \(0.959840\pi\)
\(74\) −315.974 1791.98i −0.496369 2.81505i
\(75\) 561.053 + 327.254i 0.863797 + 0.503840i
\(76\) 710.347 258.545i 1.07214 0.390226i
\(77\) −410.835 + 287.670i −0.608039 + 0.425753i
\(78\) 36.1640 + 521.238i 0.0524970 + 0.756649i
\(79\) 513.840 + 612.371i 0.731792 + 0.872115i 0.995719 0.0924270i \(-0.0294625\pi\)
−0.263928 + 0.964542i \(0.585018\pi\)
\(80\) −520.373 393.721i −0.727244 0.550242i
\(81\) 701.195 199.416i 0.961858 0.273548i
\(82\) −463.657 + 463.657i −0.624419 + 0.624419i
\(83\) 43.5085 497.304i 0.0575382 0.657665i −0.911589 0.411103i \(-0.865144\pi\)
0.969127 0.246562i \(-0.0793009\pi\)
\(84\) 357.912 + 311.469i 0.464897 + 0.404573i
\(85\) −1197.66 44.1598i −1.52829 0.0563506i
\(86\) 392.924 + 1079.55i 0.492675 + 1.35361i
\(87\) 112.673 108.689i 0.138848 0.133939i
\(88\) 72.4466 103.464i 0.0877595 0.125334i
\(89\) −159.941 277.025i −0.190491 0.329940i 0.754922 0.655814i \(-0.227675\pi\)
−0.945413 + 0.325875i \(0.894341\pi\)
\(90\) −1194.31 301.628i −1.39879 0.353271i
\(91\) 130.040 225.235i 0.149801 0.259462i
\(92\) 695.912 + 1492.39i 0.788628 + 1.69122i
\(93\) 102.370 968.926i 0.114143 1.08035i
\(94\) −382.356 + 455.674i −0.419543 + 0.499992i
\(95\) 952.298 217.902i 1.02846 0.235329i
\(96\) 1258.23 + 483.773i 1.33768 + 0.514321i
\(97\) 713.165 332.554i 0.746505 0.348101i −0.0118614 0.999930i \(-0.503776\pi\)
0.758366 + 0.651829i \(0.225998\pi\)
\(98\) 244.607 + 912.884i 0.252133 + 0.940972i
\(99\) −268.118 + 1254.69i −0.272190 + 1.27375i
\(100\) 774.977 + 754.245i 0.774977 + 0.754245i
\(101\) 402.009 70.8850i 0.396053 0.0698349i 0.0279253 0.999610i \(-0.491110\pi\)
0.368128 + 0.929775i \(0.379999\pi\)
\(102\) 2205.69 548.667i 2.14113 0.532609i
\(103\) −35.0380 16.3385i −0.0335184 0.0156299i 0.405787 0.913968i \(-0.366998\pi\)
−0.439305 + 0.898338i \(0.644775\pi\)
\(104\) −11.3737 + 64.5032i −0.0107238 + 0.0608179i
\(105\) 409.145 + 456.684i 0.380271 + 0.424456i
\(106\) 769.036 645.298i 0.704673 0.591291i
\(107\) −886.569 886.569i −0.801008 0.801008i 0.182245 0.983253i \(-0.441664\pi\)
−0.983253 + 0.182245i \(0.941664\pi\)
\(108\) 1213.08 40.3825i 1.08082 0.0359797i
\(109\) 898.015i 0.789122i −0.918870 0.394561i \(-0.870897\pi\)
0.918870 0.394561i \(-0.129103\pi\)
\(110\) 1453.78 1608.27i 1.26011 1.39402i
\(111\) 753.173 + 2191.24i 0.644036 + 1.87372i
\(112\) −353.326 504.602i −0.298091 0.425718i
\(113\) −136.126 + 291.924i −0.113325 + 0.243025i −0.954787 0.297290i \(-0.903917\pi\)
0.841463 + 0.540315i \(0.181695\pi\)
\(114\) −1620.90 + 897.329i −1.33168 + 0.737216i
\(115\) 653.650 + 2025.14i 0.530027 + 1.64214i
\(116\) 225.732 130.326i 0.180678 0.104314i
\(117\) −148.962 648.438i −0.117705 0.512377i
\(118\) −864.130 + 231.543i −0.674149 + 0.180638i
\(119\) −1063.15 386.955i −0.818981 0.298085i
\(120\) −136.161 72.8338i −0.103581 0.0554066i
\(121\) −710.179 595.911i −0.533568 0.447716i
\(122\) 136.132 + 1555.99i 0.101023 + 1.15470i
\(123\) 491.147 675.235i 0.360043 0.494991i
\(124\) 554.825 1524.37i 0.401813 1.10397i
\(125\) 873.139 + 1091.22i 0.624767 + 0.780811i
\(126\) −985.481 617.287i −0.696775 0.436446i
\(127\) −1463.94 392.261i −1.02286 0.274075i −0.291867 0.956459i \(-0.594277\pi\)
−0.730994 + 0.682384i \(0.760943\pi\)
\(128\) 277.773 + 194.499i 0.191812 + 0.134308i
\(129\) −708.531 1279.86i −0.483586 0.873532i
\(130\) −330.785 + 1074.46i −0.223167 + 0.724893i
\(131\) −792.510 139.741i −0.528564 0.0932002i −0.0970036 0.995284i \(-0.530926\pi\)
−0.431561 + 0.902084i \(0.642037\pi\)
\(132\) −937.479 + 1919.47i −0.618159 + 1.26567i
\(133\) 918.709 + 80.3766i 0.598963 + 0.0524025i
\(134\) 1273.05 0.820709
\(135\) 1562.09 + 142.299i 0.995876 + 0.0907196i
\(136\) 284.926 0.179649
\(137\) −1745.07 152.674i −1.08826 0.0952101i −0.471122 0.882068i \(-0.656151\pi\)
−0.617134 + 0.786858i \(0.711706\pi\)
\(138\) −2254.96 3347.04i −1.39098 2.06463i
\(139\) −43.8330 7.72895i −0.0267473 0.00471626i 0.160259 0.987075i \(-0.448767\pi\)
−0.187006 + 0.982359i \(0.559878\pi\)
\(140\) 477.517 + 902.315i 0.288268 + 0.544711i
\(141\) 390.471 649.054i 0.233217 0.387661i
\(142\) 2164.68 + 1515.73i 1.27927 + 0.895753i
\(143\) 1131.06 + 303.066i 0.661425 + 0.177228i
\(144\) −1541.05 329.311i −0.891813 0.190574i
\(145\) 310.324 131.012i 0.177731 0.0750341i
\(146\) 658.618 1809.54i 0.373340 1.02574i
\(147\) −488.891 1099.67i −0.274306 0.617004i
\(148\) 336.231 + 3843.14i 0.186743 + 2.13449i
\(149\) −1846.41 1549.32i −1.01519 0.851846i −0.0261754 0.999657i \(-0.508333\pi\)
−0.989016 + 0.147811i \(0.952777\pi\)
\(150\) −2164.34 1529.85i −1.17812 0.832745i
\(151\) −2830.90 1030.36i −1.52567 0.555297i −0.563111 0.826381i \(-0.690396\pi\)
−0.962556 + 0.271084i \(0.912618\pi\)
\(152\) −224.337 + 60.1109i −0.119711 + 0.0320766i
\(153\) −2665.41 + 1127.98i −1.40840 + 0.596027i
\(154\) 1772.39 1023.29i 0.927422 0.535448i
\(155\) 955.383 1866.05i 0.495085 0.966997i
\(156\) 19.9344 1107.56i 0.0102310 0.568436i
\(157\) −472.267 + 1012.78i −0.240070 + 0.514832i −0.989018 0.147797i \(-0.952782\pi\)
0.748947 + 0.662629i \(0.230560\pi\)
\(158\) −1871.01 2672.08i −0.942088 1.34544i
\(159\) −839.197 + 964.327i −0.418570 + 0.480982i
\(160\) 2151.70 + 1945.00i 1.06317 + 0.961037i
\(161\) 2008.88i 0.983367i
\(162\) −2921.34 + 561.265i −1.41680 + 0.272205i
\(163\) −603.927 603.927i −0.290204 0.290204i 0.546957 0.837161i \(-0.315786\pi\)
−0.837161 + 0.546957i \(0.815786\pi\)
\(164\) 1064.94 893.592i 0.507061 0.425475i
\(165\) −1509.30 + 2311.49i −0.712115 + 1.09060i
\(166\) −353.731 + 2006.11i −0.165391 + 0.937977i
\(167\) 1803.66 + 841.059i 0.835756 + 0.389719i 0.792892 0.609362i \(-0.208574\pi\)
0.0428633 + 0.999081i \(0.486352\pi\)
\(168\) −101.205 104.915i −0.0464768 0.0481805i
\(169\) 1565.63 276.063i 0.712622 0.125655i
\(170\) 4852.89 + 605.460i 2.18941 + 0.273157i
\(171\) 1860.65 1450.44i 0.832088 0.648644i
\(172\) −630.395 2352.67i −0.279460 1.04296i
\(173\) 1992.31 929.031i 0.875566 0.408283i 0.0677389 0.997703i \(-0.478422\pi\)
0.807827 + 0.589420i \(0.200644\pi\)
\(174\) −496.680 + 401.757i −0.216398 + 0.175041i
\(175\) 467.992 + 1233.51i 0.202154 + 0.532825i
\(176\) 1782.73 2124.58i 0.763515 0.909922i
\(177\) 1040.94 462.781i 0.442046 0.196524i
\(178\) 551.648 + 1183.01i 0.232291 + 0.498150i
\(179\) −1582.24 + 2740.52i −0.660683 + 1.14434i 0.319753 + 0.947501i \(0.396400\pi\)
−0.980436 + 0.196836i \(0.936933\pi\)
\(180\) 2466.71 + 857.739i 1.02143 + 0.355178i
\(181\) 1126.74 + 1951.58i 0.462708 + 0.801434i 0.999095 0.0425385i \(-0.0135445\pi\)
−0.536387 + 0.843972i \(0.680211\pi\)
\(182\) −608.727 + 869.352i −0.247922 + 0.354069i
\(183\) −480.118 1930.11i −0.193942 0.779662i
\(184\) −173.033 475.406i −0.0693271 0.190475i
\(185\) −183.700 + 4982.15i −0.0730048 + 1.97997i
\(186\) −760.741 + 3902.35i −0.299894 + 1.53836i
\(187\) 443.955 5074.43i 0.173611 1.98438i
\(188\) 891.755 891.755i 0.345946 0.345946i
\(189\) 1362.09 + 580.793i 0.524218 + 0.223526i
\(190\) −3948.67 + 547.106i −1.50772 + 0.208901i
\(191\) −2558.15 3048.68i −0.969115 1.15495i −0.987895 0.155122i \(-0.950423\pi\)
0.0187804 0.999824i \(-0.494022\pi\)
\(192\) −2762.69 1349.31i −1.03844 0.507179i
\(193\) 2203.02 1542.57i 0.821640 0.575319i −0.0854078 0.996346i \(-0.527219\pi\)
0.907048 + 0.421027i \(0.138330\pi\)
\(194\) −3017.35 + 1098.22i −1.11666 + 0.406433i
\(195\) 202.766 1417.12i 0.0744634 0.520423i
\(196\) −347.938 1973.26i −0.126800 0.719117i
\(197\) 260.248 971.260i 0.0941215 0.351266i −0.902763 0.430138i \(-0.858465\pi\)
0.996885 + 0.0788715i \(0.0251317\pi\)
\(198\) 1536.15 5005.06i 0.551361 1.79644i
\(199\) −2326.23 1343.05i −0.828654 0.478423i 0.0247378 0.999694i \(-0.492125\pi\)
−0.853391 + 0.521271i \(0.825458\pi\)
\(200\) −216.998 251.601i −0.0767205 0.0889545i
\(201\) −1601.26 + 252.722i −0.561910 + 0.0886849i
\(202\) −1659.41 + 145.180i −0.577998 + 0.0505683i
\(203\) 316.778 27.7145i 0.109524 0.00958214i
\(204\) −4759.91 + 751.245i −1.63363 + 0.257832i
\(205\) 1508.63 975.539i 0.513985 0.332364i
\(206\) 136.621 + 78.8784i 0.0462081 + 0.0266783i
\(207\) 3500.75 + 3762.28i 1.17545 + 1.26327i
\(208\) −372.236 + 1389.20i −0.124086 + 0.463096i
\(209\) 721.006 + 4089.03i 0.238627 + 1.35332i
\(210\) −1500.79 2001.97i −0.493163 0.657853i
\(211\) 2294.67 835.192i 0.748681 0.272497i 0.0606301 0.998160i \(-0.480689\pi\)
0.688050 + 0.725663i \(0.258467\pi\)
\(212\) −1743.48 + 1220.80i −0.564825 + 0.395494i
\(213\) −3023.65 1476.77i −0.972662 0.475053i
\(214\) 3288.67 + 3919.28i 1.05051 + 1.25195i
\(215\) −431.994 3117.87i −0.137031 0.989008i
\(216\) −372.366 20.1234i −0.117298 0.00633901i
\(217\) 1399.39 1399.39i 0.437773 0.437773i
\(218\) −319.378 + 3650.51i −0.0992248 + 1.13414i
\(219\) −469.191 + 2406.80i −0.144772 + 0.742631i
\(220\) −3367.63 + 3128.12i −1.03202 + 0.958626i
\(221\) 903.437 + 2482.17i 0.274985 + 0.755516i
\(222\) −2282.40 9175.43i −0.690020 2.77394i
\(223\) −750.645 + 1072.03i −0.225412 + 0.321922i −0.915888 0.401433i \(-0.868512\pi\)
0.690476 + 0.723355i \(0.257401\pi\)
\(224\) 1369.05 + 2371.27i 0.408365 + 0.707309i
\(225\) 3026.02 + 1494.60i 0.896598 + 0.442845i
\(226\) 657.186 1138.28i 0.193431 0.335032i
\(227\) 979.845 + 2101.28i 0.286496 + 0.614393i 0.995905 0.0904041i \(-0.0288159\pi\)
−0.709409 + 0.704797i \(0.751038\pi\)
\(228\) 3589.23 1595.69i 1.04256 0.463498i
\(229\) 2665.76 3176.93i 0.769251 0.916758i −0.229144 0.973393i \(-0.573593\pi\)
0.998395 + 0.0566345i \(0.0180370\pi\)
\(230\) −1936.90 8464.85i −0.555284 2.42676i
\(231\) −2026.18 + 1638.95i −0.577112 + 0.466818i
\(232\) −72.5788 + 33.8441i −0.0205389 + 0.00957746i
\(233\) −223.579 834.407i −0.0628632 0.234609i 0.927345 0.374208i \(-0.122085\pi\)
−0.990208 + 0.139599i \(0.955419\pi\)
\(234\) 374.926 + 2688.93i 0.104742 + 0.751200i
\(235\) 1286.24 1000.89i 0.357043 0.277834i
\(236\) 1867.87 329.356i 0.515204 0.0908443i
\(237\) 2883.83 + 2989.54i 0.790400 + 0.819373i
\(238\) 4184.17 + 1951.11i 1.13958 + 0.531393i
\(239\) 515.333 2922.60i 0.139473 0.790993i −0.832166 0.554526i \(-0.812899\pi\)
0.971640 0.236467i \(-0.0759894\pi\)
\(240\) −2839.06 1853.78i −0.763584 0.498587i
\(241\) −4663.85 + 3913.44i −1.24658 + 1.04600i −0.249597 + 0.968350i \(0.580298\pi\)
−0.996980 + 0.0776532i \(0.975257\pi\)
\(242\) 2675.00 + 2675.00i 0.710560 + 0.710560i
\(243\) 3563.06 1285.90i 0.940618 0.339467i
\(244\) 3311.49i 0.868838i
\(245\) −130.481 2586.13i −0.0340250 0.674374i
\(246\) −2236.70 + 2570.21i −0.579702 + 0.666140i
\(247\) −1234.99 1763.75i −0.318139 0.454350i
\(248\) −210.632 + 451.703i −0.0539321 + 0.115658i
\(249\) 46.6793 2593.52i 0.0118803 0.660070i
\(250\) −3161.29 4746.42i −0.799750 1.20076i
\(251\) −6250.71 + 3608.85i −1.57188 + 0.907524i −0.575939 + 0.817493i \(0.695363\pi\)
−0.995939 + 0.0900316i \(0.971303\pi\)
\(252\) 1967.32 + 1485.84i 0.491785 + 0.371425i
\(253\) −8736.42 + 2340.92i −2.17096 + 0.581708i
\(254\) 5811.52 + 2115.22i 1.43562 + 0.522522i
\(255\) −6224.19 + 201.828i −1.52853 + 0.0495645i
\(256\) 2566.18 + 2153.28i 0.626510 + 0.525704i
\(257\) −635.126 7259.53i −0.154156 1.76201i −0.542087 0.840322i \(-0.682366\pi\)
0.387931 0.921688i \(-0.373190\pi\)
\(258\) 2425.05 + 5454.73i 0.585183 + 1.31627i
\(259\) −1609.69 + 4422.59i −0.386182 + 1.06103i
\(260\) 897.173 2208.18i 0.214001 0.526714i
\(261\) 544.972 603.932i 0.129245 0.143228i
\(262\) 3171.92 + 849.913i 0.747946 + 0.200412i
\(263\) −5590.16 3914.27i −1.31066 0.917735i −0.311193 0.950347i \(-0.600729\pi\)
−0.999468 + 0.0326115i \(0.989618\pi\)
\(264\) 338.330 562.383i 0.0788741 0.131107i
\(265\) −2431.12 + 1286.58i −0.563557 + 0.298241i
\(266\) −3706.04 653.475i −0.854255 0.150628i
\(267\) −928.715 1378.49i −0.212871 0.315964i
\(268\) −2688.75 235.235i −0.612842 0.0536168i
\(269\) 5135.28 1.16395 0.581977 0.813205i \(-0.302279\pi\)
0.581977 + 0.813205i \(0.302279\pi\)
\(270\) −6299.42 1134.01i −1.41989 0.255607i
\(271\) −1853.99 −0.415580 −0.207790 0.978173i \(-0.566627\pi\)
−0.207790 + 0.978173i \(0.566627\pi\)
\(272\) 6232.59 + 545.281i 1.38936 + 0.121553i
\(273\) 593.080 1214.32i 0.131483 0.269209i
\(274\) 7039.54 + 1241.26i 1.55210 + 0.273676i
\(275\) −4819.05 + 3472.63i −1.05673 + 0.761482i
\(276\) 4144.13 + 7485.79i 0.903794 + 1.63258i
\(277\) −920.943 644.852i −0.199762 0.139875i 0.469416 0.882977i \(-0.344465\pi\)
−0.669178 + 0.743102i \(0.733354\pi\)
\(278\) 175.436 + 47.0080i 0.0378488 + 0.0101415i
\(279\) 182.183 5059.43i 0.0390932 1.08566i
\(280\) −121.991 288.956i −0.0260369 0.0616729i
\(281\) −155.490 + 427.204i −0.0330097 + 0.0906935i −0.955103 0.296275i \(-0.904256\pi\)
0.922093 + 0.386968i \(0.126478\pi\)
\(282\) −1818.13 + 2499.59i −0.383930 + 0.527831i
\(283\) 200.083 + 2286.96i 0.0420271 + 0.480372i 0.987820 + 0.155602i \(0.0497316\pi\)
−0.945793 + 0.324771i \(0.894713\pi\)
\(284\) −4291.84 3601.28i −0.896739 0.752453i
\(285\) 4858.05 1472.03i 1.00971 0.305949i
\(286\) −4490.06 1634.25i −0.928331 0.337885i
\(287\) 1638.19 438.952i 0.336931 0.0902805i
\(288\) 6696.25 + 2055.21i 1.37007 + 0.420501i
\(289\) 5696.50 3288.88i 1.15947 0.669423i
\(290\) −1308.09 + 422.207i −0.264874 + 0.0854927i
\(291\) 3577.23 1980.35i 0.720621 0.398935i
\(292\) −1725.40 + 3700.14i −0.345793 + 0.741556i
\(293\) −1508.80 2154.79i −0.300836 0.429639i 0.640065 0.768321i \(-0.278908\pi\)
−0.940901 + 0.338683i \(0.890019\pi\)
\(294\) 1596.28 + 4644.14i 0.316657 + 0.921264i
\(295\) 2448.01 123.513i 0.483148 0.0243769i
\(296\) 1185.26i 0.232743i
\(297\) −938.591 + 6600.35i −0.183376 + 1.28953i
\(298\) 6954.78 + 6954.78i 1.35194 + 1.35194i
\(299\) 3592.91 3014.81i 0.694928 0.583114i
\(300\) 4288.50 + 3631.05i 0.825323 + 0.698796i
\(301\) 515.983 2926.29i 0.0988066 0.560360i
\(302\) 11141.4 + 5195.32i 2.12290 + 0.989925i
\(303\) 2058.40 512.028i 0.390270 0.0970801i
\(304\) −5022.28 + 885.564i −0.947525 + 0.167074i
\(305\) 529.815 4246.58i 0.0994660 0.797241i
\(306\) 11236.3 3637.40i 2.09913 0.679530i
\(307\) −871.134 3251.12i −0.161949 0.604401i −0.998410 0.0563744i \(-0.982046\pi\)
0.836461 0.548027i \(-0.184621\pi\)
\(308\) −3932.46 + 1833.73i −0.727508 + 0.339243i
\(309\) −187.502 72.0922i −0.0345198 0.0132724i
\(310\) −4547.37 + 7245.86i −0.833139 + 1.32754i
\(311\) 4993.21 5950.68i 0.910415 1.08499i −0.0856468 0.996326i \(-0.527296\pi\)
0.996062 0.0886645i \(-0.0282599\pi\)
\(312\) −35.7590 + 338.455i −0.00648863 + 0.0614143i
\(313\) 3472.47 + 7446.73i 0.627078 + 1.34477i 0.921231 + 0.389015i \(0.127185\pi\)
−0.294154 + 0.955758i \(0.595038\pi\)
\(314\) 2280.00 3949.07i 0.409770 0.709743i
\(315\) 2285.13 + 2220.16i 0.408737 + 0.397117i
\(316\) 3457.93 + 5989.31i 0.615581 + 1.06622i
\(317\) −6107.12 + 8721.87i −1.08205 + 1.54533i −0.268995 + 0.963142i \(0.586691\pi\)
−0.813056 + 0.582186i \(0.802198\pi\)
\(318\) 3754.36 3621.61i 0.662058 0.638647i
\(319\) 489.663 + 1345.34i 0.0859431 + 0.236127i
\(320\) −4502.30 4847.03i −0.786520 0.846741i
\(321\) −4914.55 4276.85i −0.854528 0.743646i
\(322\) 714.456 8166.27i 0.123649 1.41332i
\(323\) −6623.06 + 6623.06i −1.14092 + 1.14092i
\(324\) 6273.72 645.615i 1.07574 0.110702i
\(325\) 1503.81 2688.18i 0.256665 0.458811i
\(326\) 2240.23 + 2669.80i 0.380597 + 0.453578i
\(327\) −322.971 4655.03i −0.0546187 0.787229i
\(328\) −349.872 + 244.983i −0.0588977 + 0.0412406i
\(329\) 1445.76 526.212i 0.242271 0.0881794i
\(330\) 6957.52 8859.63i 1.16060 1.47790i
\(331\) −74.1222 420.368i −0.0123085 0.0698052i 0.978035 0.208442i \(-0.0668391\pi\)
−0.990343 + 0.138636i \(0.955728\pi\)
\(332\) 1117.79 4171.64i 0.184779 0.689604i
\(333\) 4692.29 + 11087.8i 0.772180 + 1.82465i
\(334\) −7032.89 4060.44i −1.15216 0.665202i
\(335\) −3410.36 731.842i −0.556202 0.119358i
\(336\) −2013.01 2488.63i −0.326842 0.404065i
\(337\) 7232.70 632.779i 1.16911 0.102284i 0.513982 0.857801i \(-0.328170\pi\)
0.655129 + 0.755517i \(0.272614\pi\)
\(338\) −6462.60 + 565.404i −1.04000 + 0.0909880i
\(339\) −600.646 + 1562.20i −0.0962319 + 0.250286i
\(340\) −10137.7 2175.48i −1.61704 0.347006i
\(341\) 7716.47 + 4455.11i 1.22543 + 0.707500i
\(342\) −8079.52 + 5234.43i −1.27746 + 0.827619i
\(343\) 1569.64 5857.96i 0.247092 0.922159i
\(344\) 129.945 + 736.955i 0.0203668 + 0.115506i
\(345\) 4116.66 + 10262.6i 0.642416 + 1.60151i
\(346\) −8429.33 + 3068.02i −1.30972 + 0.476700i
\(347\) −8935.56 + 6256.75i −1.38238 + 0.967953i −0.383365 + 0.923597i \(0.625235\pi\)
−0.999016 + 0.0443562i \(0.985876\pi\)
\(348\) 1123.25 756.755i 0.173025 0.116570i
\(349\) −3106.56 3702.26i −0.476477 0.567843i 0.473248 0.880929i \(-0.343082\pi\)
−0.949725 + 0.313086i \(0.898637\pi\)
\(350\) −1463.73 5180.75i −0.223542 0.791208i
\(351\) −1005.38 3307.73i −0.152887 0.503001i
\(352\) −8717.06 + 8717.06i −1.31995 + 1.31995i
\(353\) −743.034 + 8492.91i −0.112033 + 1.28054i 0.707171 + 0.707042i \(0.249971\pi\)
−0.819204 + 0.573502i \(0.805584\pi\)
\(354\) −4396.11 + 1511.03i −0.660030 + 0.226865i
\(355\) −4927.58 5304.86i −0.736700 0.793107i
\(356\) −946.512 2600.52i −0.140913 0.387155i
\(357\) −5650.20 1623.49i −0.837648 0.240684i
\(358\) 7406.61 10577.7i 1.09344 1.56159i
\(359\) −806.477 1396.86i −0.118563 0.205358i 0.800635 0.599152i \(-0.204496\pi\)
−0.919199 + 0.393794i \(0.871162\pi\)
\(360\) −732.011 328.578i −0.107168 0.0481044i
\(361\) 387.912 671.884i 0.0565552 0.0979565i
\(362\) −3886.23 8334.04i −0.564242 1.21002i
\(363\) −3895.67 2833.60i −0.563277 0.409712i
\(364\) 1446.30 1723.63i 0.208260 0.248195i
\(365\) −2804.61 + 4468.92i −0.402192 + 0.640860i
\(366\) 1265.28 + 8016.83i 0.180702 + 1.14494i
\(367\) 9642.29 4496.28i 1.37145 0.639520i 0.409394 0.912358i \(-0.365740\pi\)
0.962060 + 0.272838i \(0.0879623\pi\)
\(368\) −2875.19 10730.4i −0.407282 1.52000i
\(369\) 2303.11 3676.85i 0.324919 0.518724i
\(370\) 2518.65 20187.5i 0.353887 2.83648i
\(371\) −2557.13 + 450.891i −0.357843 + 0.0630973i
\(372\) 2327.80 8101.40i 0.324438 1.12913i
\(373\) 9409.11 + 4387.54i 1.30613 + 0.609057i 0.946097 0.323884i \(-0.104989\pi\)
0.360030 + 0.932941i \(0.382766\pi\)
\(374\) −3609.43 + 20470.1i −0.499035 + 2.83017i
\(375\) 4918.54 + 5342.51i 0.677312 + 0.735696i
\(376\) −296.816 + 249.058i −0.0407104 + 0.0341601i
\(377\) −524.969 524.969i −0.0717169 0.0717169i
\(378\) −5330.43 2845.39i −0.725312 0.387173i
\(379\) 7093.59i 0.961407i −0.876883 0.480704i \(-0.840381\pi\)
0.876883 0.480704i \(-0.159619\pi\)
\(380\) 8440.88 425.878i 1.13949 0.0574924i
\(381\) −7729.67 1506.85i −1.03938 0.202621i
\(382\) 9314.81 + 13302.9i 1.24761 + 1.78177i
\(383\) 46.7412 100.237i 0.00623594 0.0133730i −0.903165 0.429293i \(-0.858763\pi\)
0.909401 + 0.415920i \(0.136540\pi\)
\(384\) 1509.84 + 908.321i 0.200648 + 0.120710i
\(385\) −5336.28 + 1722.37i −0.706394 + 0.228001i
\(386\) −9504.05 + 5487.17i −1.25322 + 0.723548i
\(387\) −4133.11 6379.59i −0.542888 0.837966i
\(388\) 6575.72 1761.96i 0.860391 0.230541i
\(389\) 8559.57 + 3115.43i 1.11565 + 0.406063i 0.833062 0.553179i \(-0.186585\pi\)
0.282586 + 0.959242i \(0.408808\pi\)
\(390\) −1328.26 + 5688.62i −0.172459 + 0.738601i
\(391\) −15629.6 13114.8i −2.02155 1.69628i
\(392\) 53.6538 + 613.266i 0.00691308 + 0.0790169i
\(393\) −4158.39 439.348i −0.533748 0.0563923i
\(394\) −1403.36 + 3855.70i −0.179442 + 0.493013i
\(395\) 3476.12 + 8233.79i 0.442791 + 1.04883i
\(396\) −4169.26 + 10287.1i −0.529074 + 1.30542i
\(397\) 2156.17 + 577.745i 0.272582 + 0.0730383i 0.392521 0.919743i \(-0.371603\pi\)
−0.119938 + 0.992781i \(0.538270\pi\)
\(398\) 8978.66 + 6286.93i 1.13080 + 0.791797i
\(399\) 4791.21 + 86.2344i 0.601154 + 0.0108198i
\(400\) −4265.21 5918.92i −0.533151 0.739865i
\(401\) 2959.79 + 521.890i 0.368590 + 0.0649924i 0.354876 0.934914i \(-0.384523\pi\)
0.0137146 + 0.999906i \(0.495634\pi\)
\(402\) 6599.11 457.853i 0.818741 0.0568050i
\(403\) −4602.94 402.705i −0.568955 0.0497771i
\(404\) 3531.58 0.434908
\(405\) 8148.57 + 175.829i 0.999767 + 0.0215729i
\(406\) −1297.58 −0.158616
\(407\) −21109.1 1846.81i −2.57086 0.224921i
\(408\) 1476.97 102.473i 0.179218 0.0124343i
\(409\) −6590.04 1162.00i −0.796715 0.140482i −0.239550 0.970884i \(-0.577000\pi\)
−0.557165 + 0.830402i \(0.688111\pi\)
\(410\) −6479.63 + 3429.11i −0.780503 + 0.413052i
\(411\) −9100.80 163.800i −1.09224 0.0196586i
\(412\) −273.976 191.840i −0.0327618 0.0229400i
\(413\) 2235.05 + 598.881i 0.266295 + 0.0713535i
\(414\) −12892.8 16539.0i −1.53055 1.96340i
\(415\) 2100.86 5170.78i 0.248499 0.611623i
\(416\) 2186.45 6007.23i 0.257691 0.708001i
\(417\) −229.997 24.2999i −0.0270096 0.00285365i
\(418\) −1476.69 16878.7i −0.172793 1.97503i
\(419\) 10236.4 + 8589.38i 1.19351 + 1.00148i 0.999791 + 0.0204206i \(0.00650054\pi\)
0.193722 + 0.981056i \(0.437944\pi\)
\(420\) 2799.82 + 4505.58i 0.325279 + 0.523452i
\(421\) 6301.52 + 2293.56i 0.729494 + 0.265514i 0.679951 0.733258i \(-0.262001\pi\)
0.0495436 + 0.998772i \(0.484223\pi\)
\(422\) −9625.06 + 2579.03i −1.11029 + 0.297500i
\(423\) 1790.65 3504.93i 0.205826 0.402874i
\(424\) 566.312 326.961i 0.0648645 0.0374496i
\(425\) −12652.3 4411.74i −1.44406 0.503532i
\(426\) 11766.2 + 7078.53i 1.33820 + 0.805061i
\(427\) 1707.34 3661.41i 0.193499 0.414960i
\(428\) −6221.63 8885.41i −0.702649 1.00349i
\(429\) 5972.05 + 1164.22i 0.672105 + 0.131023i
\(430\) 647.228 + 12828.0i 0.0725863 + 1.43866i
\(431\) 3615.10i 0.404022i 0.979383 + 0.202011i \(0.0647477\pi\)
−0.979383 + 0.202011i \(0.935252\pi\)
\(432\) −8106.78 1152.81i −0.902865 0.128390i
\(433\) 5550.47 + 5550.47i 0.616024 + 0.616024i 0.944509 0.328485i \(-0.106538\pi\)
−0.328485 + 0.944509i \(0.606538\pi\)
\(434\) −6186.32 + 5190.94i −0.684223 + 0.574131i
\(435\) 1561.51 790.733i 0.172112 0.0871557i
\(436\) 1349.08 7651.04i 0.148187 0.840409i
\(437\) 15072.9 + 7028.59i 1.64996 + 0.769389i
\(438\) 2763.27 9616.96i 0.301448 1.04912i
\(439\) 6869.90 1211.35i 0.746884 0.131696i 0.212763 0.977104i \(-0.431754\pi\)
0.534121 + 0.845408i \(0.320643\pi\)
\(440\) 1114.48 867.238i 0.120752 0.0939636i
\(441\) −2929.75 5524.54i −0.316354 0.596538i
\(442\) −2789.76 10411.5i −0.300216 1.12042i
\(443\) −2833.37 + 1321.22i −0.303877 + 0.141700i −0.568576 0.822631i \(-0.692505\pi\)
0.264698 + 0.964331i \(0.414728\pi\)
\(444\) 3125.10 + 19800.7i 0.334033 + 2.11644i
\(445\) −797.720 3486.28i −0.0849788 0.371383i
\(446\) 3432.70 4090.93i 0.364446 0.434330i
\(447\) −10128.4 7367.13i −1.07172 0.779537i
\(448\) −2639.30 5659.99i −0.278337 0.596896i
\(449\) −1056.01 + 1829.06i −0.110994 + 0.192247i −0.916171 0.400787i \(-0.868737\pi\)
0.805177 + 0.593034i \(0.202070\pi\)
\(450\) −11769.5 7151.87i −1.23293 0.749206i
\(451\) 3817.91 + 6612.81i 0.398622 + 0.690433i
\(452\) −1598.34 + 2282.67i −0.166327 + 0.237539i
\(453\) −15045.1 4322.96i −1.56044 0.448367i
\(454\) −3235.83 8890.38i −0.334505 0.919044i
\(455\) 2130.47 1978.95i 0.219512 0.203900i
\(456\) −1141.28 + 392.279i −0.117204 + 0.0402854i
\(457\) −979.854 + 11199.8i −0.100297 + 1.14640i 0.764620 + 0.644482i \(0.222927\pi\)
−0.864916 + 0.501916i \(0.832629\pi\)
\(458\) −11966.4 + 11966.4i −1.22086 + 1.22086i
\(459\) −13411.0 + 6805.73i −1.36377 + 0.692079i
\(460\) 2526.69 + 18236.1i 0.256104 + 1.84840i
\(461\) 5926.76 + 7063.24i 0.598778 + 0.713596i 0.977268 0.212010i \(-0.0680008\pi\)
−0.378489 + 0.925606i \(0.623556\pi\)
\(462\) 8819.48 5941.85i 0.888138 0.598355i
\(463\) 10847.2 7595.27i 1.08879 0.762380i 0.115812 0.993271i \(-0.463053\pi\)
0.972980 + 0.230891i \(0.0741640\pi\)
\(464\) −1652.39 + 601.420i −0.165324 + 0.0601729i
\(465\) 4281.29 10016.6i 0.426968 0.998945i
\(466\) 612.110 + 3471.45i 0.0608486 + 0.345090i
\(467\) 4133.91 15428.0i 0.409625 1.52874i −0.385739 0.922608i \(-0.626054\pi\)
0.795364 0.606132i \(-0.207280\pi\)
\(468\) −295.001 5748.44i −0.0291376 0.567781i
\(469\) −2851.58 1646.36i −0.280755 0.162094i
\(470\) −5584.64 + 3611.26i −0.548086 + 0.354415i
\(471\) −2083.84 + 5419.79i −0.203861 + 0.530214i
\(472\) −580.513 + 50.7883i −0.0566108 + 0.00495280i
\(473\) 13327.4 1165.99i 1.29555 0.113346i
\(474\) −10659.8 13178.4i −1.03295 1.27701i
\(475\) 10892.5 + 804.344i 1.05218 + 0.0776965i
\(476\) −8476.65 4894.00i −0.816232 0.471252i
\(477\) −4003.32 + 5300.59i −0.384275 + 0.508799i
\(478\) −3134.29 + 11697.3i −0.299915 + 1.11930i
\(479\) −2133.43 12099.3i −0.203505 1.15414i −0.899775 0.436355i \(-0.856269\pi\)
0.696269 0.717781i \(-0.254842\pi\)
\(480\) 11853.3 + 9308.43i 1.12713 + 0.885146i
\(481\) 10325.6 3758.20i 0.978806 0.356256i
\(482\) 20350.8 14249.8i 1.92314 1.34659i
\(483\) 722.494 + 10413.4i 0.0680633 + 0.981009i
\(484\) −5155.45 6144.02i −0.484170 0.577012i
\(485\) 8714.46 1207.43i 0.815883 0.113044i
\(486\) −14941.4 + 3960.08i −1.39456 + 0.369615i
\(487\) −13262.8 + 13262.8i −1.23407 + 1.23407i −0.271689 + 0.962385i \(0.587582\pi\)
−0.962385 + 0.271689i \(0.912418\pi\)
\(488\) −88.6732 + 1013.54i −0.00822550 + 0.0940179i
\(489\) −3347.77 2913.37i −0.309594 0.269421i
\(490\) −389.336 + 10559.2i −0.0358947 + 0.973504i
\(491\) 1068.88 + 2936.71i 0.0982438 + 0.269923i 0.979072 0.203513i \(-0.0652359\pi\)
−0.880828 + 0.473436i \(0.843014\pi\)
\(492\) 5198.95 5015.11i 0.476396 0.459550i
\(493\) −1852.43 + 2645.54i −0.169228 + 0.241682i
\(494\) 4393.05 + 7608.99i 0.400107 + 0.693006i
\(495\) −6992.43 + 12524.9i −0.634922 + 1.13728i
\(496\) −5471.91 + 9477.63i −0.495355 + 0.857981i
\(497\) −2888.59 6194.61i −0.260707 0.559087i
\(498\) −1112.14 + 10526.3i −0.100072 + 0.947175i
\(499\) −3510.84 + 4184.06i −0.314964 + 0.375359i −0.900180 0.435518i \(-0.856565\pi\)
0.585216 + 0.810877i \(0.301010\pi\)
\(500\) 5799.76 + 10608.8i 0.518746 + 0.948881i
\(501\) 9652.09 + 3711.11i 0.860726 + 0.330938i
\(502\) 26693.1 12447.2i 2.37325 1.10667i
\(503\) −390.103 1455.88i −0.0345802 0.129055i 0.946478 0.322768i \(-0.104613\pi\)
−0.981058 + 0.193713i \(0.937947\pi\)
\(504\) −562.346 507.446i −0.0497002 0.0448481i
\(505\) 4528.82 + 565.028i 0.399069 + 0.0497890i
\(506\) 36346.8 6408.92i 3.19330 0.563066i
\(507\) 8016.46 1994.10i 0.702216 0.174677i
\(508\) −11883.4 5541.31i −1.03787 0.483968i
\(509\) −140.484 + 796.726i −0.0122335 + 0.0693797i −0.990313 0.138851i \(-0.955659\pi\)
0.978080 + 0.208230i \(0.0667703\pi\)
\(510\) 25373.6 + 1393.18i 2.20306 + 0.120963i
\(511\) −3815.44 + 3201.54i −0.330304 + 0.277158i
\(512\) −11584.2 11584.2i −0.999908 0.999908i
\(513\) 9123.36 8187.83i 0.785197 0.704681i
\(514\) 29736.5i 2.55179i
\(515\) −320.648 289.846i −0.0274358 0.0248003i
\(516\) −4113.91 11968.8i −0.350978 1.02112i
\(517\) 3973.16 + 5674.25i 0.337987 + 0.482695i
\(518\) 8116.41 17405.7i 0.688445 1.47638i
\(519\) 9993.42 5532.35i 0.845207 0.467906i
\(520\) −333.725 + 651.829i −0.0281438 + 0.0549703i
\(521\) 5325.76 3074.83i 0.447842 0.258562i −0.259076 0.965857i \(-0.583418\pi\)
0.706918 + 0.707295i \(0.250085\pi\)
\(522\) −2430.15 + 2261.22i −0.203764 + 0.189599i
\(523\) 18014.8 4827.04i 1.50618 0.403579i 0.591014 0.806661i \(-0.298728\pi\)
0.915164 + 0.403082i \(0.132061\pi\)
\(524\) −6542.21 2381.17i −0.545416 0.198515i
\(525\) 2869.56 + 6225.81i 0.238548 + 0.517555i
\(526\) 21332.4 + 17900.0i 1.76832 + 1.48379i
\(527\) 1751.82 + 20023.4i 0.144802 + 1.65509i
\(528\) 8477.04 11654.3i 0.698704 0.960586i
\(529\) −8229.26 + 22609.7i −0.676359 + 1.85828i
\(530\) 10340.3 4365.43i 0.847458 0.357778i
\(531\) 5229.49 2773.29i 0.427383 0.226649i
\(532\) 7706.60 + 2064.98i 0.628051 + 0.168286i
\(533\) −3243.57 2271.17i −0.263592 0.184569i
\(534\) 3285.04 + 5933.98i 0.266213 + 0.480877i
\(535\) −6556.87 12389.9i −0.529866 1.00123i
\(536\) 816.640 + 143.996i 0.0658087 + 0.0116039i
\(537\) −7216.23 + 14775.1i −0.579894 + 1.18732i
\(538\) −20875.3 1826.36i −1.67286 0.146357i
\(539\) 11005.7 0.879493
\(540\) 13095.1 + 3559.10i 1.04357 + 0.283628i
\(541\) −5587.26 −0.444021 −0.222010 0.975044i \(-0.571262\pi\)
−0.222010 + 0.975044i \(0.571262\pi\)
\(542\) 7536.64 + 659.371i 0.597281 + 0.0522553i
\(543\) 6542.57 + 9711.13i 0.517069 + 0.767486i
\(544\) −27386.8 4829.04i −2.15846 0.380594i
\(545\) 2954.15 9595.67i 0.232187 0.754190i
\(546\) −2842.79 + 4725.38i −0.222821 + 0.370380i
\(547\) 11377.7 + 7966.73i 0.889349 + 0.622729i 0.926382 0.376585i \(-0.122902\pi\)
−0.0370332 + 0.999314i \(0.511791\pi\)
\(548\) −14638.5 3922.38i −1.14111 0.305758i
\(549\) −3182.95 9832.44i −0.247441 0.764369i
\(550\) 20824.9 12402.6i 1.61450 0.961547i
\(551\) 900.384 2473.78i 0.0696146 0.191264i
\(552\) −1067.93 2402.12i −0.0823445 0.185220i
\(553\) 735.344 + 8405.02i 0.0565461 + 0.646325i
\(554\) 3514.37 + 2948.91i 0.269515 + 0.226150i
\(555\) 839.582 + 25892.0i 0.0642131 + 1.98028i
\(556\) −361.844 131.700i −0.0276000 0.0100456i
\(557\) −16621.5 + 4453.71i −1.26441 + 0.338796i −0.827885 0.560898i \(-0.810456\pi\)
−0.436520 + 0.899694i \(0.643789\pi\)
\(558\) −2539.97 + 20502.2i −0.192698 + 1.55543i
\(559\) −6008.06 + 3468.75i −0.454586 + 0.262456i
\(560\) −2115.48 6554.20i −0.159634 0.494581i
\(561\) 476.310 26464.0i 0.0358464 1.99164i
\(562\) 784.013 1681.32i 0.0588462 0.126196i
\(563\) −15.2677 21.8045i −0.00114291 0.00163224i 0.818580 0.574392i \(-0.194762\pi\)
−0.819723 + 0.572760i \(0.805873\pi\)
\(564\) 4301.86 4943.30i 0.321172 0.369061i
\(565\) −2414.89 + 2671.52i −0.179814 + 0.198923i
\(566\) 9367.82i 0.695687i
\(567\) 7269.52 + 2520.78i 0.538432 + 0.186707i
\(568\) 1217.16 + 1217.16i 0.0899134 + 0.0899134i
\(569\) 1566.27 1314.26i 0.115398 0.0968305i −0.583263 0.812284i \(-0.698224\pi\)
0.698661 + 0.715453i \(0.253780\pi\)
\(570\) −20271.9 + 4256.16i −1.48964 + 0.312756i
\(571\) 3148.31 17854.9i 0.230740 1.30859i −0.620662 0.784078i \(-0.713136\pi\)
0.851402 0.524514i \(-0.175753\pi\)
\(572\) 9181.25 + 4281.29i 0.671132 + 0.312954i
\(573\) −14357.1 14883.4i −1.04673 1.08510i
\(574\) −6815.49 + 1201.76i −0.495598 + 0.0873873i
\(575\) 322.528 + 23789.8i 0.0233919 + 1.72540i
\(576\) −14806.2 6000.82i −1.07105 0.434087i
\(577\) 1744.95 + 6512.23i 0.125898 + 0.469857i 0.999870 0.0161186i \(-0.00513093\pi\)
−0.873972 + 0.485976i \(0.838464\pi\)
\(578\) −24326.4 + 11343.6i −1.75060 + 0.816317i
\(579\) 10865.0 8788.51i 0.779849 0.630808i
\(580\) 2840.76 650.015i 0.203373 0.0465352i
\(581\) 3386.72 4036.14i 0.241833 0.288205i
\(582\) −15246.0 + 6778.04i −1.08586 + 0.482747i
\(583\) −4940.66 10595.3i −0.350980 0.752678i
\(584\) 627.169 1086.29i 0.0444391 0.0769708i
\(585\) 541.407 7418.86i 0.0382640 0.524329i
\(586\) 5367.05 + 9296.00i 0.378346 + 0.655314i
\(587\) 4868.72 6953.25i 0.342340 0.488912i −0.610656 0.791896i \(-0.709094\pi\)
0.952996 + 0.302984i \(0.0979830\pi\)
\(588\) −2513.29 10103.6i −0.176269 0.708616i
\(589\) −5603.64 15395.9i −0.392010 1.07704i
\(590\) −9995.29 368.543i −0.697457 0.0257164i
\(591\) 999.734 5128.31i 0.0695830 0.356938i
\(592\) 2268.31 25926.9i 0.157478 1.79998i
\(593\) −5469.62 + 5469.62i −0.378769 + 0.378769i −0.870658 0.491889i \(-0.836307\pi\)
0.491889 + 0.870658i \(0.336307\pi\)
\(594\) 6162.86 26497.2i 0.425699 1.83029i
\(595\) −10087.3 7632.15i −0.695020 0.525862i
\(596\) −13403.7 15974.0i −0.921206 1.09785i
\(597\) −12541.5 6125.33i −0.859780 0.419921i
\(598\) −15677.7 + 10977.6i −1.07209 + 0.750684i
\(599\) 1118.73 407.185i 0.0763107 0.0277748i −0.303583 0.952805i \(-0.598183\pi\)
0.379893 + 0.925030i \(0.375961\pi\)
\(600\) −1215.34 1226.18i −0.0826934 0.0834310i
\(601\) 3598.88 + 20410.2i 0.244262 + 1.38528i 0.822201 + 0.569197i \(0.192746\pi\)
−0.577940 + 0.816079i \(0.696143\pi\)
\(602\) −3138.25 + 11712.1i −0.212467 + 0.792939i
\(603\) −8209.52 + 1885.92i −0.554424 + 0.127365i
\(604\) −22571.2 13031.5i −1.52055 0.877888i
\(605\) −5628.23 8703.79i −0.378215 0.584891i
\(606\) −8549.65 + 1349.37i −0.573112 + 0.0904529i
\(607\) −11639.4 + 1018.32i −0.778302 + 0.0680926i −0.469382 0.882995i \(-0.655523\pi\)
−0.308920 + 0.951088i \(0.599968\pi\)
\(608\) 22581.9 1975.66i 1.50628 0.131782i
\(609\) 1632.11 257.592i 0.108598 0.0171398i
\(610\) −3664.03 + 17074.3i −0.243201 + 1.13331i
\(611\) −3110.84 1796.05i −0.205976 0.118920i
\(612\) −24403.7 + 5606.12i −1.61187 + 0.370284i
\(613\) −4273.20 + 15947.8i −0.281555 + 1.05078i 0.669766 + 0.742573i \(0.266395\pi\)
−0.951320 + 0.308204i \(0.900272\pi\)
\(614\) 2384.98 + 13525.9i 0.156759 + 0.889023i
\(615\) 7469.40 5599.47i 0.489748 0.367142i
\(616\) 1252.70 455.945i 0.0819361 0.0298223i
\(617\) 12755.7 8931.64i 0.832294 0.582778i −0.0778998 0.996961i \(-0.524821\pi\)
0.910194 + 0.414183i \(0.135933\pi\)
\(618\) 736.572 + 359.746i 0.0479438 + 0.0234160i
\(619\) 8032.33 + 9572.55i 0.521561 + 0.621572i 0.960949 0.276725i \(-0.0892491\pi\)
−0.439388 + 0.898297i \(0.644805\pi\)
\(620\) 10943.2 14463.4i 0.708852 0.936875i
\(621\) 19499.9 + 18243.5i 1.26007 + 1.17888i
\(622\) −22414.2 + 22414.2i −1.44490 + 1.44490i
\(623\) 294.252 3363.31i 0.0189229 0.216289i
\(624\) −1429.93 + 7335.08i −0.0917356 + 0.470574i
\(625\) 5740.15 + 14532.4i 0.367369 + 0.930075i
\(626\) −11467.4 31506.5i −0.732158 2.01159i
\(627\) 5208.09 + 20936.9i 0.331724 + 1.33356i
\(628\) −5545.19 + 7919.35i −0.352352 + 0.503211i
\(629\) −23900.2 41396.3i −1.51504 2.62413i
\(630\) −8499.63 9837.85i −0.537513 0.622141i
\(631\) −7120.87 + 12333.7i −0.449251 + 0.778126i −0.998337 0.0576400i \(-0.981642\pi\)
0.549086 + 0.835766i \(0.314976\pi\)
\(632\) −897.980 1925.72i −0.0565186 0.121204i
\(633\) 11594.5 5154.65i 0.728024 0.323664i
\(634\) 27927.9 33283.1i 1.74946 2.08492i
\(635\) −14352.4 9007.30i −0.896941 0.562904i
\(636\) −8598.61 + 6955.29i −0.536096 + 0.433640i
\(637\) −5172.43 + 2411.94i −0.321725 + 0.150023i
\(638\) −1512.05 5643.05i −0.0938287 0.350173i
\(639\) −16204.8 6567.64i −1.00321 0.406591i
\(640\) 2328.29 + 2992.08i 0.143803 + 0.184800i
\(641\) 5136.83 905.762i 0.316525 0.0558119i −0.0131286 0.999914i \(-0.504179\pi\)
0.329654 + 0.944102i \(0.393068\pi\)
\(642\) 18457.0 + 19133.6i 1.13464 + 1.17623i
\(643\) 12235.8 + 5705.65i 0.750440 + 0.349936i 0.759918 0.650019i \(-0.225239\pi\)
−0.00947803 + 0.999955i \(0.503017\pi\)
\(644\) −3017.94 + 17115.6i −0.184664 + 1.04728i
\(645\) −3360.66 16006.7i −0.205157 0.977151i
\(646\) 29278.8 24567.8i 1.78322 1.49630i
\(647\) −4411.00 4411.00i −0.268028 0.268028i 0.560277 0.828305i \(-0.310695\pi\)
−0.828305 + 0.560277i \(0.810695\pi\)
\(648\) −1937.47 + 29.6076i −0.117455 + 0.00179490i
\(649\) 10417.9i 0.630104i
\(650\) −7069.15 + 10392.9i −0.426577 + 0.627141i
\(651\) 6750.71 7757.28i 0.406423 0.467023i
\(652\) −4238.15 6052.70i −0.254568 0.363561i
\(653\) 6423.76 13775.8i 0.384963 0.825557i −0.614369 0.789019i \(-0.710589\pi\)
0.999332 0.0365378i \(-0.0116329\pi\)
\(654\) −342.654 + 19038.0i −0.0204875 + 1.13829i
\(655\) −8008.61 4100.26i −0.477744 0.244596i
\(656\) −8122.08 + 4689.29i −0.483406 + 0.279094i
\(657\) −1566.54 + 12644.8i −0.0930235 + 0.750871i
\(658\) −6064.27 + 1624.92i −0.359285 + 0.0962702i
\(659\) 25255.3 + 9192.18i 1.49288 + 0.543364i 0.954206 0.299151i \(-0.0967035\pi\)
0.538673 + 0.842515i \(0.318926\pi\)
\(660\) −16331.7 + 17426.4i −0.963199 + 1.02776i
\(661\) −21755.8 18255.3i −1.28018 1.07420i −0.993219 0.116261i \(-0.962909\pi\)
−0.286965 0.957941i \(-0.592646\pi\)
\(662\) 151.810 + 1735.19i 0.00891276 + 0.101873i
\(663\) 5575.85 + 12541.9i 0.326618 + 0.734671i
\(664\) −453.824 + 1246.87i −0.0265238 + 0.0728734i
\(665\) 9552.38 + 3881.08i 0.557031 + 0.226318i
\(666\) −15131.2 46741.7i −0.880362 2.71953i
\(667\) 5539.12 + 1484.20i 0.321553 + 0.0861598i
\(668\) 14103.5 + 9875.40i 0.816890 + 0.571992i
\(669\) −3505.55 + 5827.05i −0.202590 + 0.336751i
\(670\) 13603.1 + 4187.89i 0.784379 + 0.241481i
\(671\) 17912.6 + 3158.48i 1.03056 + 0.181716i
\(672\) 7949.57 + 11799.6i 0.456342 + 0.677348i
\(673\) −23150.3 2025.39i −1.32597 0.116007i −0.597933 0.801546i \(-0.704011\pi\)
−0.728036 + 0.685539i \(0.759567\pi\)
\(674\) −29626.6 −1.69313
\(675\) 16223.5 + 6659.24i 0.925099 + 0.379725i
\(676\) 13753.8 0.782534
\(677\) −24544.5 2147.36i −1.39338 0.121905i −0.634395 0.773009i \(-0.718751\pi\)
−0.758989 + 0.651104i \(0.774306\pi\)
\(678\) 2997.27 6136.85i 0.169778 0.347617i
\(679\) 8179.00 + 1442.18i 0.462270 + 0.0815106i
\(680\) 3044.55 + 937.304i 0.171696 + 0.0528588i
\(681\) 5834.94 + 10540.0i 0.328334 + 0.593090i
\(682\) −29783.6 20854.7i −1.67225 1.17092i
\(683\) 5665.51 + 1518.07i 0.317401 + 0.0850473i 0.414002 0.910276i \(-0.364131\pi\)
−0.0966015 + 0.995323i \(0.530797\pi\)
\(684\) 18031.6 9562.45i 1.00798 0.534546i
\(685\) −18144.5 7372.02i −1.01207 0.411198i
\(686\) −8464.08 + 23254.9i −0.471079 + 1.29428i
\(687\) 12675.9 17427.0i 0.703954 0.967803i
\(688\) 1432.11 + 16369.1i 0.0793588 + 0.907075i
\(689\) 4644.01 + 3896.79i 0.256782 + 0.215466i
\(690\) −13084.7 43182.5i −0.721920 2.38251i
\(691\) −29011.0 10559.1i −1.59715 0.581314i −0.618306 0.785937i \(-0.712181\pi\)
−0.978841 + 0.204623i \(0.934403\pi\)
\(692\) 18370.1 4922.25i 1.00914 0.270399i
\(693\) −9913.65 + 9224.51i −0.543418 + 0.505643i
\(694\) 38549.0 22256.3i 2.10850 1.21734i
\(695\) −442.949 226.782i −0.0241756 0.0123775i
\(696\) −364.054 + 201.540i −0.0198268 + 0.0109761i
\(697\) −7279.63 + 15611.2i −0.395603 + 0.848374i
\(698\) 11311.7 + 16154.8i 0.613403 + 0.876030i
\(699\) −1459.06 4244.90i −0.0789508 0.229695i
\(700\) 2134.18 + 11212.5i 0.115235 + 0.605417i
\(701\) 6558.35i 0.353360i −0.984268 0.176680i \(-0.943464\pi\)
0.984268 0.176680i \(-0.0565358\pi\)
\(702\) 2910.57 + 13803.7i 0.156485 + 0.742149i
\(703\) 27551.2 + 27551.2i 1.47811 + 1.47811i
\(704\) 21539.2 18073.5i 1.15311 0.967572i
\(705\) 6307.51 5650.91i 0.336957 0.301880i
\(706\) 6040.99 34260.1i 0.322033 1.82634i
\(707\) 3904.76 + 1820.82i 0.207714 + 0.0968584i
\(708\) 9564.01 2379.06i 0.507680 0.126286i
\(709\) 2182.95 384.914i 0.115631 0.0203889i −0.115533 0.993304i \(-0.536858\pi\)
0.231164 + 0.972915i \(0.425747\pi\)
\(710\) 18144.3 + 23317.2i 0.959077 + 1.23251i
\(711\) 16024.1 + 14459.7i 0.845217 + 0.762701i
\(712\) 220.061 + 821.279i 0.0115831 + 0.0432285i
\(713\) 32345.6 15083.0i 1.69895 0.792234i
\(714\) 22391.1 + 8609.11i 1.17362 + 0.451244i
\(715\) 11088.8 + 6959.16i 0.579999 + 0.363997i
\(716\) −17597.7 + 20972.1i −0.918515 + 1.09464i
\(717\) 1620.22 15335.2i 0.0843907 0.798750i
\(718\) 2781.60 + 5965.17i 0.144580 + 0.310053i
\(719\) 3020.13 5231.02i 0.156651 0.271327i −0.777008 0.629491i \(-0.783264\pi\)
0.933659 + 0.358163i \(0.116597\pi\)
\(720\) −15383.5 8588.34i −0.796262 0.444540i
\(721\) −204.017 353.369i −0.0105381 0.0182526i
\(722\) −1815.85 + 2593.30i −0.0935996 + 0.133674i
\(723\) −22768.5 + 21963.4i −1.17119 + 1.12978i
\(724\) 6667.94 + 18320.0i 0.342282 + 0.940412i
\(725\) 3746.93 379.062i 0.191941 0.0194179i
\(726\) 14828.4 + 12904.3i 0.758037 + 0.659675i
\(727\) −2185.55 + 24981.0i −0.111496 + 1.27441i 0.710004 + 0.704198i \(0.248693\pi\)
−0.821500 + 0.570208i \(0.806862\pi\)
\(728\) −488.820 + 488.820i −0.0248858 + 0.0248858i
\(729\) 18007.3 7947.15i 0.914866 0.403757i
\(730\) 12990.3 17169.1i 0.658622 0.870487i
\(731\) 19398.7 + 23118.5i 0.981515 + 1.16972i
\(732\) −1190.98 17165.7i −0.0601363 0.866755i
\(733\) −6829.78 + 4782.26i −0.344152 + 0.240978i −0.732854 0.680385i \(-0.761812\pi\)
0.388702 + 0.921363i \(0.372923\pi\)
\(734\) −40795.8 + 14848.5i −2.05150 + 0.746685i
\(735\) −1606.47 13358.8i −0.0806199 0.670401i
\(736\) 8574.47 + 48628.2i 0.429428 + 2.43541i
\(737\) 3836.95 14319.7i 0.191772 0.715703i
\(738\) −10670.0 + 14127.6i −0.532206 + 0.704666i
\(739\) 8107.77 + 4681.03i 0.403585 + 0.233010i 0.688030 0.725683i \(-0.258476\pi\)
−0.284445 + 0.958692i \(0.591809\pi\)
\(740\) −9049.77 + 42171.6i −0.449562 + 2.09495i
\(741\) −7036.13 8698.55i −0.348824 0.431241i
\(742\) 10555.3 923.470i 0.522234 0.0456896i
\(743\) −24653.5 + 2156.90i −1.21729 + 0.106499i −0.677644 0.735390i \(-0.736999\pi\)
−0.539650 + 0.841890i \(0.681443\pi\)
\(744\) −929.399 + 2417.24i −0.0457976 + 0.119113i
\(745\) −14632.9 22629.1i −0.719609 1.11284i
\(746\) −36688.4 21182.1i −1.80061 1.03958i
\(747\) −690.786 13460.8i −0.0338347 0.659310i
\(748\) 11405.8 42566.9i 0.557535 2.08075i
\(749\) −2297.90 13032.1i −0.112101 0.635756i
\(750\) −18094.2 23467.0i −0.880942 1.14252i
\(751\) −5083.78 + 1850.34i −0.247017 + 0.0899068i −0.462561 0.886587i \(-0.653070\pi\)
0.215545 + 0.976494i \(0.430847\pi\)
\(752\) −6969.31 + 4879.97i −0.337958 + 0.236641i
\(753\) −31103.8 + 20955.2i −1.50529 + 1.01414i
\(754\) 1947.34 + 2320.74i 0.0940554 + 0.112091i
\(755\) −26859.9 20322.5i −1.29474 0.979619i
\(756\) 10732.4 + 6994.58i 0.516313 + 0.336495i
\(757\) 15968.9 15968.9i 0.766711 0.766711i −0.210815 0.977526i \(-0.567612\pi\)
0.977526 + 0.210815i \(0.0676117\pi\)
\(758\) −2522.83 + 28836.0i −0.120888 + 1.38176i
\(759\) −44445.0 + 15276.6i −2.12549 + 0.730575i
\(760\) −2594.88 95.6775i −0.123850 0.00456656i
\(761\) −1915.30 5262.24i −0.0912345 0.250665i 0.885680 0.464297i \(-0.153693\pi\)
−0.976914 + 0.213632i \(0.931471\pi\)
\(762\) 30885.8 + 8874.53i 1.46834 + 0.421904i
\(763\) 5436.37 7763.94i 0.257942 0.368379i
\(764\) −17215.2 29817.7i −0.815217 1.41200i
\(765\) −32191.7 + 3284.74i −1.52143 + 0.155242i
\(766\) −225.656 + 390.847i −0.0106440 + 0.0184359i
\(767\) −2283.13 4896.19i −0.107482 0.230497i
\(768\) 14076.7 + 10239.0i 0.661394 + 0.481080i
\(769\) −11807.0 + 14071.0i −0.553667 + 0.659834i −0.968193 0.250203i \(-0.919503\pi\)
0.414527 + 0.910037i \(0.363947\pi\)
\(770\) 22305.0 5103.75i 1.04392 0.238866i
\(771\) −5903.18 37402.7i −0.275743 1.74712i
\(772\) 21087.0 9833.01i 0.983078 0.458417i
\(773\) −2186.45 8159.95i −0.101735 0.379680i 0.896219 0.443611i \(-0.146303\pi\)
−0.997954 + 0.0639310i \(0.979636\pi\)
\(774\) 14532.5 + 27403.5i 0.674885 + 1.27261i
\(775\) 16347.3 16796.6i 0.757693 0.778520i
\(776\) −2059.79 + 363.197i −0.0952864 + 0.0168016i
\(777\) −6753.55 + 23504.2i −0.311818 + 1.08521i
\(778\) −33687.3 15708.7i −1.55238 0.723886i
\(779\) 2438.13 13827.3i 0.112137 0.635962i
\(780\) 3856.49 11769.2i 0.177032 0.540263i
\(781\) 23573.7 19780.7i 1.08007 0.906284i
\(782\) 58871.5 + 58871.5i 2.69212 + 2.69212i
\(783\) 2607.76 3326.60i 0.119022 0.151830i
\(784\) 13517.5i 0.615776i
\(785\) −8378.06 + 9268.40i −0.380925 + 0.421406i
\(786\) 16747.9 + 3264.91i 0.760024 + 0.148162i
\(787\) −2824.24 4033.44i −0.127921 0.182689i 0.750083 0.661344i \(-0.230014\pi\)
−0.878003 + 0.478654i \(0.841125\pi\)
\(788\) 3676.42 7884.11i 0.166202 0.356421i
\(789\) −30385.4 18279.9i −1.37104 0.824817i
\(790\) −11202.4 34707.3i −0.504510 1.56308i
\(791\) −2944.14 + 1699.80i −0.132341 + 0.0764069i
\(792\) 1551.54 3036.90i 0.0696104 0.136252i
\(793\) −9110.75 + 2441.22i −0.407985 + 0.109319i
\(794\) −8559.55 3115.42i −0.382578 0.139247i
\(795\) −12139.5 + 7543.58i −0.541563 + 0.336533i
\(796\) −17801.7 14937.4i −0.792669 0.665128i
\(797\) −1501.60 17163.4i −0.0667371 0.762809i −0.953659 0.300889i \(-0.902716\pi\)
0.886922 0.461919i \(-0.152839\pi\)
\(798\) −19446.0 2054.54i −0.862632 0.0911401i
\(799\) −5344.43 + 14683.7i −0.236636 + 0.650153i
\(800\) 16593.4 + 27861.5i 0.733334 + 1.23132i
\(801\) −5309.95 6811.66i −0.234229 0.300472i
\(802\) −11846.2 3174.17i −0.521574 0.139755i
\(803\) −18369.2 12862.3i −0.807267 0.565254i
\(804\) −14022.3 252.379i −0.615084 0.0110706i
\(805\) −6608.50 + 21465.8i −0.289340 + 0.939837i
\(806\) 18568.1 + 3274.06i 0.811456 + 0.143082i
\(807\) 26619.7 1846.90i 1.16116 0.0805626i
\(808\) −1080.90 94.5667i −0.0470619 0.00411738i
\(809\) 16834.4 0.731601 0.365801 0.930693i \(-0.380795\pi\)
0.365801 + 0.930693i \(0.380795\pi\)
\(810\) −33062.1 3612.79i −1.43418 0.156717i
\(811\) −5289.00 −0.229003 −0.114502 0.993423i \(-0.536527\pi\)
−0.114502 + 0.993423i \(0.536527\pi\)
\(812\) 2740.56 + 239.768i 0.118442 + 0.0103623i
\(813\) −9610.54 + 666.788i −0.414583 + 0.0287642i
\(814\) 85153.4 + 15014.8i 3.66662 + 0.646523i
\(815\) −4466.51 8439.92i −0.191969 0.362745i
\(816\) 32503.9 + 585.021i 1.39444 + 0.0250978i
\(817\) −20151.0 14109.8i −0.862904 0.604212i
\(818\) 26375.8 + 7067.37i 1.12739 + 0.302084i
\(819\) 2637.61 6507.96i 0.112534 0.277664i
\(820\) 14319.0 6045.14i 0.609804 0.257445i
\(821\) 5771.70 15857.6i 0.245352 0.674098i −0.754490 0.656312i \(-0.772116\pi\)
0.999842 0.0177870i \(-0.00566206\pi\)
\(822\) 36937.2 + 3902.55i 1.56732 + 0.165592i
\(823\) −2310.81 26412.7i −0.0978735 1.11870i −0.873274 0.487230i \(-0.838007\pi\)
0.775400 0.631470i \(-0.217548\pi\)
\(824\) 78.7182 + 66.0524i 0.00332801 + 0.00279253i
\(825\) −23731.5 + 19734.2i −1.00149 + 0.832797i
\(826\) −8872.69 3229.39i −0.373753 0.136035i
\(827\) 9933.27 2661.61i 0.417670 0.111914i −0.0438624 0.999038i \(-0.513966\pi\)
0.461533 + 0.887123i \(0.347300\pi\)
\(828\) 24174.1 + 37313.6i 1.01462 + 1.56611i
\(829\) 9084.46 5244.91i 0.380599 0.219739i −0.297480 0.954728i \(-0.596146\pi\)
0.678079 + 0.734989i \(0.262813\pi\)
\(830\) −10379.1 + 20272.5i −0.434054 + 0.847792i
\(831\) −5005.81 3011.49i −0.208965 0.125713i
\(832\) −6162.06 + 13214.6i −0.256768 + 0.550641i
\(833\) 14240.1 + 20336.9i 0.592304 + 0.845898i
\(834\) 926.313 + 180.579i 0.0384599 + 0.00749754i
\(835\) 16506.1 + 14920.5i 0.684091 + 0.618376i
\(836\) 35921.4i 1.48609i
\(837\) −875.241 26292.0i −0.0361443 1.08577i
\(838\) −38557.1 38557.1i −1.58942 1.58942i
\(839\) −13396.6 + 11241.1i −0.551254 + 0.462557i −0.875365 0.483462i \(-0.839379\pi\)
0.324111 + 0.946019i \(0.394935\pi\)
\(840\) −736.284 1453.98i −0.0302431 0.0597228i
\(841\) −4077.48 + 23124.5i −0.167185 + 0.948155i
\(842\) −24800.5 11564.7i −1.01506 0.473331i
\(843\) −652.367 + 2270.42i −0.0266533 + 0.0927608i
\(844\) 20805.2 3668.51i 0.848511 0.149615i
\(845\) 17637.6 + 2200.51i 0.718049 + 0.0895857i
\(846\) −8525.66 + 13611.0i −0.346476 + 0.553139i
\(847\) −2532.47 9451.30i −0.102735 0.383413i
\(848\) 13013.5 6068.29i 0.526987 0.245738i
\(849\) 1859.67 + 11782.9i 0.0751751 + 0.476312i
\(850\) 49863.4 + 22433.9i 2.01212 + 0.905264i
\(851\) −54556.3 + 65017.6i −2.19761 + 2.61901i
\(852\) −23542.8 17124.4i −0.946669 0.688581i
\(853\) −15940.7 34184.8i −0.639856 1.37218i −0.912108 0.409950i \(-0.865546\pi\)
0.272251 0.962226i \(-0.412232\pi\)
\(854\) −8242.66 + 14276.7i −0.330279 + 0.572060i
\(855\) 24653.2 9377.74i 0.986108 0.375102i
\(856\) 1666.31 + 2886.13i 0.0665342 + 0.115241i
\(857\) −20103.6 + 28710.9i −0.801315 + 1.14440i 0.185516 + 0.982641i \(0.440604\pi\)
−0.986831 + 0.161755i \(0.948285\pi\)
\(858\) −23862.8 6856.58i −0.949491 0.272820i
\(859\) −1566.75 4304.60i −0.0622314 0.170979i 0.904680 0.426091i \(-0.140110\pi\)
−0.966911 + 0.255112i \(0.917888\pi\)
\(860\) 1003.39 27213.0i 0.0397852 1.07902i
\(861\) 8334.01 2864.57i 0.329875 0.113385i
\(862\) 1285.71 14695.7i 0.0508020 0.580670i
\(863\) 15949.9 15949.9i 0.629131 0.629131i −0.318718 0.947849i \(-0.603252\pi\)
0.947849 + 0.318718i \(0.103252\pi\)
\(864\) 35450.5 + 8245.26i 1.39589 + 0.324664i
\(865\) 24344.9 3373.10i 0.956938 0.132588i
\(866\) −20589.1 24537.1i −0.807905 0.962824i
\(867\) 28346.1 19097.3i 1.11036 0.748070i
\(868\) 14025.0 9820.41i 0.548433 0.384017i
\(869\) −35695.7 + 12992.2i −1.39343 + 0.507168i
\(870\) −6628.87 + 2659.05i −0.258322 + 0.103621i
\(871\) 1334.95 + 7570.85i 0.0519322 + 0.294522i
\(872\) −617.786 + 2305.61i −0.0239918 + 0.0895387i
\(873\) 17831.0 11552.1i 0.691280 0.447856i
\(874\) −58772.7 33932.4i −2.27462 1.31325i
\(875\) 942.901 + 14720.1i 0.0364296 + 0.568719i
\(876\) −7613.20 + 19800.9i −0.293637 + 0.763711i
\(877\) −31534.5 + 2758.91i −1.21419 + 0.106228i −0.676197 0.736721i \(-0.736373\pi\)
−0.537994 + 0.842949i \(0.680818\pi\)
\(878\) −28357.5 + 2480.96i −1.09000 + 0.0953626i
\(879\) −8596.12 10627.1i −0.329852 0.407786i
\(880\) 26038.4 16837.5i 0.997447 0.644990i
\(881\) 44416.6 + 25644.0i 1.69856 + 0.980666i 0.947126 + 0.320862i \(0.103972\pi\)
0.751437 + 0.659804i \(0.229361\pi\)
\(882\) 9944.90 + 23499.7i 0.379662 + 0.897137i
\(883\) 2557.55 9544.90i 0.0974726 0.363773i −0.899910 0.436075i \(-0.856368\pi\)
0.997383 + 0.0723027i \(0.0230348\pi\)
\(884\) 3968.27 + 22505.2i 0.150981 + 0.856258i
\(885\) 12645.3 1520.68i 0.480302 0.0577593i
\(886\) 11987.8 4363.20i 0.454557 0.165445i
\(887\) 21015.3 14715.1i 0.795519 0.557028i −0.103658 0.994613i \(-0.533055\pi\)
0.899177 + 0.437585i \(0.144166\pi\)
\(888\) −426.279 6144.03i −0.0161092 0.232185i
\(889\) −10282.1 12253.7i −0.387907 0.462289i
\(890\) 2002.91 + 14455.7i 0.0754355 + 0.544446i
\(891\) −2491.55 + 34551.8i −0.0936814 + 1.29913i
\(892\) −8005.96 + 8005.96i −0.300515 + 0.300515i
\(893\) 1110.12 12688.8i 0.0416000 0.475491i
\(894\) 38552.7 + 33550.1i 1.44228 + 1.25513i
\(895\) −25922.3 + 24078.6i −0.968140 + 0.899285i
\(896\) 1224.08 + 3363.15i 0.0456404 + 0.125396i
\(897\) 17540.3 16920.0i 0.652901 0.629814i
\(898\) 4943.27 7059.72i 0.183696 0.262345i
\(899\) −2824.66 4892.45i −0.104791 0.181504i
\(900\) 23536.2 + 17279.9i 0.871711 + 0.639996i
\(901\) 13186.0 22838.8i 0.487556 0.844472i
\(902\) −13168.3 28239.5i −0.486093 1.04243i
\(903\) 1622.26 15354.5i 0.0597846 0.565855i
\(904\) 550.324 655.851i 0.0202473 0.0241297i
\(905\) 5619.74 + 24560.0i 0.206416 + 0.902101i
\(906\) 59622.1 + 22923.9i 2.18633 + 0.840615i
\(907\) −2357.82 + 1099.47i −0.0863177 + 0.0402506i −0.465298 0.885154i \(-0.654053\pi\)
0.378980 + 0.925405i \(0.376275\pi\)
\(908\) 5191.47 + 19374.8i 0.189741 + 0.708124i
\(909\) 10485.9 3394.50i 0.382615 0.123860i
\(910\) −9364.36 + 7286.90i −0.341127 + 0.265449i
\(911\) −33596.1 + 5923.91i −1.22183 + 0.215442i −0.747114 0.664696i \(-0.768561\pi\)
−0.474719 + 0.880138i \(0.657450\pi\)
\(912\) −25715.5 + 6396.75i −0.933689 + 0.232256i
\(913\) 21499.2 + 10025.2i 0.779321 + 0.363403i
\(914\) 7966.37 45179.5i 0.288298 1.63502i
\(915\) 1219.12 22203.5i 0.0440468 0.802214i
\(916\) 27484.8 23062.5i 0.991403 0.831886i
\(917\) −6005.82 6005.82i −0.216281 0.216281i
\(918\) 56937.2 22896.3i 2.04707 0.823191i
\(919\) 13610.5i 0.488542i −0.969707 0.244271i \(-0.921451\pi\)
0.969707 0.244271i \(-0.0785487\pi\)
\(920\) −285.023 5649.13i −0.0102140 0.202442i
\(921\) −5684.95 16539.5i −0.203394 0.591742i
\(922\) −21580.7 30820.5i −0.770850 1.10089i
\(923\) −6744.11 + 14462.8i −0.240504 + 0.515762i
\(924\) −19725.1 + 10919.8i −0.702283 + 0.388783i
\(925\) −18352.4 + 52632.0i −0.652349 + 1.87084i
\(926\) −46795.9 + 27017.6i −1.66070 + 0.958806i
\(927\) −997.881 306.269i −0.0353557 0.0108513i
\(928\) 7549.82 2022.97i 0.267063 0.0715594i
\(929\) 5816.32 + 2116.97i 0.205412 + 0.0747637i 0.442677 0.896681i \(-0.354029\pi\)
−0.237265 + 0.971445i \(0.576251\pi\)
\(930\) −20966.2 + 39195.7i −0.739256 + 1.38202i
\(931\) −15502.4 13008.1i −0.545727 0.457920i
\(932\) −651.352 7444.98i −0.0228924 0.261662i
\(933\) 23743.1 32642.3i 0.833134 1.14540i
\(934\) −22291.6 + 61245.8i −0.780947 + 2.14563i
\(935\) 21436.9 52762.0i 0.749799 1.84546i
\(936\) −63.6383 + 1767.31i −0.00222231 + 0.0617161i
\(937\) 6553.48 + 1756.00i 0.228487 + 0.0612230i 0.371246 0.928535i \(-0.378931\pi\)
−0.142759 + 0.989758i \(0.545597\pi\)
\(938\) 11006.4 + 7706.76i 0.383125 + 0.268267i
\(939\) 20678.4 + 37352.7i 0.718652 + 1.29815i
\(940\) 12462.3 6595.23i 0.432422 0.228843i
\(941\) −13980.5 2465.15i −0.484328 0.0854001i −0.0738478 0.997270i \(-0.523528\pi\)
−0.410480 + 0.911869i \(0.634639\pi\)
\(942\) 10398.5 21290.8i 0.359663 0.736403i
\(943\) 30468.5 + 2665.65i 1.05217 + 0.0920525i
\(944\) −12795.6 −0.441166
\(945\) 12643.9 + 10686.8i 0.435244 + 0.367874i
\(946\) −54591.6 −1.87624
\(947\) −27640.0 2418.19i −0.948446 0.0829783i −0.397576 0.917569i \(-0.630149\pi\)
−0.550870 + 0.834591i \(0.685704\pi\)
\(948\) 20078.9 + 29803.1i 0.687903 + 1.02105i
\(949\) 11452.0 + 2019.29i 0.391725 + 0.0690716i
\(950\) −43993.0 7143.64i −1.50244 0.243969i
\(951\) −28520.6 + 47407.9i −0.972496 + 1.61652i
\(952\) 2463.38 + 1724.87i 0.0838639 + 0.0587222i
\(953\) 37724.7 + 10108.3i 1.28229 + 0.343588i 0.834727 0.550664i \(-0.185625\pi\)
0.447563 + 0.894253i \(0.352292\pi\)
\(954\) 18159.0 20123.6i 0.616266 0.682939i
\(955\) −17305.8 40991.8i −0.586390 1.38897i
\(956\) 8781.22 24126.2i 0.297076 0.816211i
\(957\) 3022.11 + 6797.70i 0.102080 + 0.229612i
\(958\) 4369.48 + 49943.4i 0.147361 + 1.68434i
\(959\) −14163.0 11884.2i −0.476901 0.400167i
\(960\) −25081.8 23506.3i −0.843241 0.790272i
\(961\) −5044.41 1836.01i −0.169326 0.0616298i
\(962\) −43310.9 + 11605.1i −1.45156 + 0.388944i
\(963\) −27013.7 20402.3i −0.903950 0.682716i
\(964\) −45614.9 + 26335.8i −1.52402 + 0.879895i
\(965\) 28614.6 9235.86i 0.954547 0.308096i
\(966\) 766.526 42588.4i 0.0255306 1.41849i
\(967\) −2817.54 + 6042.22i −0.0936979 + 0.200936i −0.947571 0.319546i \(-0.896470\pi\)
0.853873 + 0.520481i \(0.174247\pi\)
\(968\) 1413.39 + 2018.53i 0.0469299 + 0.0670228i
\(969\) −31949.9 + 36713.9i −1.05922 + 1.21715i
\(970\) −35854.4 + 1809.01i −1.18682 + 0.0598801i
\(971\) 14309.5i 0.472929i 0.971640 + 0.236465i \(0.0759887\pi\)
−0.971640 + 0.236465i \(0.924011\pi\)
\(972\) 32288.8 5603.01i 1.06550 0.184894i
\(973\) −332.177 332.177i −0.0109446 0.0109446i
\(974\) 58631.2 49197.4i 1.92881 1.61847i
\(975\) 6828.47 14475.6i 0.224293 0.475476i
\(976\) −3879.35 + 22000.9i −0.127228 + 0.721548i
\(977\) −6069.58 2830.29i −0.198755 0.0926808i 0.320693 0.947183i \(-0.396084\pi\)
−0.519447 + 0.854503i \(0.673862\pi\)
\(978\) 12572.8 + 13033.7i 0.411079 + 0.426147i
\(979\) 14969.6 2639.54i 0.488692 0.0861696i
\(980\) 2773.44 22229.7i 0.0904022 0.724593i
\(981\) −3348.36 24014.1i −0.108975 0.781561i
\(982\) −3300.63 12318.1i −0.107258 0.400292i
\(983\) −9043.73 + 4217.16i −0.293439 + 0.136833i −0.563763 0.825937i \(-0.690647\pi\)
0.270324 + 0.962769i \(0.412869\pi\)
\(984\) −1725.52 + 1395.75i −0.0559020 + 0.0452183i
\(985\) 5975.96 9522.20i 0.193310 0.308023i
\(986\) 8471.17 10095.5i 0.273607 0.326073i
\(987\) 7305.10 3247.69i 0.235587 0.104737i
\(988\) −7872.36 16882.3i −0.253495 0.543622i
\(989\) 26793.0 46406.9i 0.861445 1.49207i
\(990\) 32879.3 48427.8i 1.05553 1.55468i
\(991\) 4382.34 + 7590.44i 0.140474 + 0.243308i 0.927675 0.373388i \(-0.121804\pi\)
−0.787201 + 0.616696i \(0.788471\pi\)
\(992\) 27901.4 39847.4i 0.893016 1.27536i
\(993\) −535.412 2152.40i −0.0171106 0.0687858i
\(994\) 9539.27 + 26208.9i 0.304394 + 0.836314i
\(995\) −20438.6 22003.5i −0.651203 0.701064i
\(996\) 4293.94 22026.5i 0.136605 0.700739i
\(997\) −3177.59 + 36320.0i −0.100938 + 1.15373i 0.761708 + 0.647920i \(0.224361\pi\)
−0.862646 + 0.505808i \(0.831195\pi\)
\(998\) 15759.9 15759.9i 0.499871 0.499871i
\(999\) 28311.1 + 55788.3i 0.896621 + 1.76683i
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 135.4.q.a.113.9 yes 624
5.2 odd 4 inner 135.4.q.a.32.44 624
27.11 odd 18 inner 135.4.q.a.38.44 yes 624
135.92 even 36 inner 135.4.q.a.92.9 yes 624
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
135.4.q.a.32.44 624 5.2 odd 4 inner
135.4.q.a.38.44 yes 624 27.11 odd 18 inner
135.4.q.a.92.9 yes 624 135.92 even 36 inner
135.4.q.a.113.9 yes 624 1.1 even 1 trivial