Properties

Label 177.4.e.b.133.3
Level $177$
Weight $4$
Character 177.133
Analytic conductor $10.443$
Analytic rank $0$
Dimension $420$
CM no
Inner twists $2$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [177,4,Mod(4,177)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(177, base_ring=CyclotomicField(58))
 
chi = DirichletCharacter(H, H._module([0, 2]))
 
N = Newforms(chi, 4, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("177.4");
 
S:= CuspForms(chi, 4);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 177 = 3 \cdot 59 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 177.e (of order \(29\), degree \(28\), 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: \(10.4433380710\)
Analytic rank: \(0\)
Dimension: \(420\)
Relative dimension: \(15\) over \(\Q(\zeta_{29})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{29}]$

Embedding invariants

Embedding label 133.3
Character \(\chi\) \(=\) 177.133
Dual form 177.4.e.b.4.3

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-3.97824 + 0.432660i) q^{2} +(1.94216 + 2.28649i) q^{3} +(7.82627 - 1.72269i) q^{4} +(6.73681 - 5.12119i) q^{5} +(-8.71565 - 8.25591i) q^{6} +(-6.58976 - 16.5390i) q^{7} +(-0.0516573 + 0.0174054i) q^{8} +(-1.45604 + 8.88144i) q^{9} +O(q^{10})\) \(q+(-3.97824 + 0.432660i) q^{2} +(1.94216 + 2.28649i) q^{3} +(7.82627 - 1.72269i) q^{4} +(6.73681 - 5.12119i) q^{5} +(-8.71565 - 8.25591i) q^{6} +(-6.58976 - 16.5390i) q^{7} +(-0.0516573 + 0.0174054i) q^{8} +(-1.45604 + 8.88144i) q^{9} +(-24.5850 + 23.2881i) q^{10} +(-42.8086 - 19.8054i) q^{11} +(19.1388 + 14.5489i) q^{12} +(6.69383 + 40.8306i) q^{13} +(33.3715 + 62.9453i) q^{14} +(24.7935 + 5.45746i) q^{15} +(-57.9858 + 26.8271i) q^{16} +(20.0414 - 50.3002i) q^{17} +(1.94983 - 35.9625i) q^{18} +(-45.9031 + 67.7020i) q^{19} +(43.9019 - 51.6853i) q^{20} +(25.0179 - 47.1889i) q^{21} +(178.872 + 60.2691i) q^{22} +(-1.84786 - 34.0818i) q^{23} +(-0.140124 - 0.0843097i) q^{24} +(-14.2830 + 51.4427i) q^{25} +(-44.2954 - 159.538i) q^{26} +(-23.1351 + 13.9200i) q^{27} +(-80.0649 - 118.087i) q^{28} +(-242.890 - 26.4158i) q^{29} +(-100.996 - 10.9840i) q^{30} +(-121.895 - 179.782i) q^{31} +(219.448 - 132.038i) q^{32} +(-37.8564 - 136.347i) q^{33} +(-57.9668 + 208.778i) q^{34} +(-129.094 - 77.6731i) q^{35} +(3.90464 + 72.0168i) q^{36} +(9.02428 + 3.04063i) q^{37} +(153.322 - 289.196i) q^{38} +(-80.3580 + 94.6048i) q^{39} +(-0.258869 + 0.381804i) q^{40} +(25.0649 - 462.296i) q^{41} +(-79.1108 + 198.553i) q^{42} +(-371.586 + 171.914i) q^{43} +(-369.151 - 81.2562i) q^{44} +(35.6745 + 67.2892i) q^{45} +(22.0971 + 134.786i) q^{46} +(-492.476 - 374.371i) q^{47} +(-173.957 - 80.4812i) q^{48} +(18.9012 - 17.9042i) q^{49} +(34.5640 - 210.831i) q^{50} +(153.934 - 51.8665i) q^{51} +(122.726 + 308.019i) q^{52} +(218.573 + 207.043i) q^{53} +(86.0146 - 65.3866i) q^{54} +(-389.821 + 85.8061i) q^{55} +(0.628278 + 0.739666i) q^{56} +(-243.951 + 26.5313i) q^{57} +977.704 q^{58} +(434.204 + 129.793i) q^{59} +203.442 q^{60} +(368.866 - 40.1166i) q^{61} +(562.712 + 662.476i) q^{62} +(156.485 - 34.4451i) q^{63} +(-408.987 + 310.903i) q^{64} +(254.196 + 240.787i) q^{65} +(209.594 + 526.041i) q^{66} +(-409.936 + 138.124i) q^{67} +(70.1979 - 428.188i) q^{68} +(74.3388 - 70.4175i) q^{69} +(547.172 + 253.149i) q^{70} +(413.310 + 314.190i) q^{71} +(-0.0793698 - 0.484134i) q^{72} +(-274.696 - 518.132i) q^{73} +(-37.2164 - 8.19194i) q^{74} +(-145.363 + 67.2520i) q^{75} +(-242.620 + 608.931i) q^{76} +(-45.4636 + 838.527i) q^{77} +(278.752 - 411.129i) q^{78} +(101.420 - 119.401i) q^{79} +(-253.253 + 477.685i) q^{80} +(-76.7599 - 25.8634i) q^{81} +(100.302 + 1849.97i) q^{82} +(-59.2780 - 35.6664i) q^{83} +(114.505 - 412.411i) q^{84} +(-122.582 - 441.499i) q^{85} +(1403.88 - 844.687i) q^{86} +(-411.331 - 606.668i) q^{87} +(2.55610 + 0.277993i) q^{88} +(-690.584 - 75.1056i) q^{89} +(-171.035 - 252.258i) q^{90} +(631.188 - 379.773i) q^{91} +(-73.1744 - 263.550i) q^{92} +(174.329 - 627.875i) q^{93} +(2121.17 + 1276.26i) q^{94} +(37.4744 + 691.175i) q^{95} +(728.105 + 245.327i) q^{96} +(-100.832 + 190.189i) q^{97} +(-67.4472 + 79.4050i) q^{98} +(238.231 - 351.365i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 420 q + 2 q^{2} - 45 q^{3} - 56 q^{4} - 14 q^{5} + 6 q^{6} + 6 q^{7} + 66 q^{8} - 135 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 420 q + 2 q^{2} - 45 q^{3} - 56 q^{4} - 14 q^{5} + 6 q^{6} + 6 q^{7} + 66 q^{8} - 135 q^{9} - 754 q^{10} + 64 q^{11} - 168 q^{12} + 90 q^{13} + 1024 q^{14} - 42 q^{15} - 172 q^{16} + 96 q^{17} + 18 q^{18} + 16 q^{19} - 178 q^{20} - 243 q^{21} - 604 q^{22} + 48 q^{23} + 198 q^{24} - 173 q^{25} + 156 q^{26} - 405 q^{27} + 84 q^{28} - 50 q^{29} + 174 q^{30} + 222 q^{31} - 45 q^{32} + 192 q^{33} - 64 q^{34} - 132 q^{35} - 504 q^{36} + 30 q^{37} - 108 q^{38} + 270 q^{39} + 6984 q^{40} + 400 q^{41} + 114 q^{42} + 1220 q^{43} + 1180 q^{44} - 126 q^{45} + 4938 q^{46} + 370 q^{47} - 516 q^{48} + 771 q^{49} + 1048 q^{50} + 288 q^{51} - 1964 q^{52} - 822 q^{53} + 54 q^{54} - 2342 q^{55} - 13824 q^{56} + 48 q^{57} - 13150 q^{58} - 3423 q^{59} - 534 q^{60} - 2182 q^{61} + 845 q^{62} + 54 q^{63} - 8018 q^{64} + 4140 q^{65} - 1812 q^{66} + 506 q^{67} + 4826 q^{68} - 3684 q^{69} + 6882 q^{70} + 5874 q^{71} + 594 q^{72} + 206 q^{73} + 11124 q^{74} - 867 q^{75} + 16940 q^{76} + 9940 q^{77} + 468 q^{78} - 1762 q^{79} - 28954 q^{80} - 1215 q^{81} + 3770 q^{82} - 1216 q^{83} - 8013 q^{84} - 420 q^{85} - 2256 q^{86} + 5940 q^{87} + 13458 q^{88} - 1580 q^{89} + 522 q^{90} - 12204 q^{91} + 4562 q^{92} + 666 q^{93} + 176 q^{94} - 28456 q^{95} + 2040 q^{96} + 2574 q^{97} + 50690 q^{98} + 576 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{28}{29}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −3.97824 + 0.432660i −1.40652 + 0.152968i −0.779680 0.626178i \(-0.784618\pi\)
−0.626842 + 0.779147i \(0.715653\pi\)
\(3\) 1.94216 + 2.28649i 0.373769 + 0.440034i
\(4\) 7.82627 1.72269i 0.978283 0.215336i
\(5\) 6.73681 5.12119i 0.602559 0.458053i −0.258884 0.965909i \(-0.583355\pi\)
0.861442 + 0.507855i \(0.169561\pi\)
\(6\) −8.71565 8.25591i −0.593025 0.561743i
\(7\) −6.58976 16.5390i −0.355814 0.893025i −0.992538 0.121934i \(-0.961091\pi\)
0.636725 0.771091i \(-0.280289\pi\)
\(8\) −0.0516573 + 0.0174054i −0.00228295 + 0.000769216i
\(9\) −1.45604 + 8.88144i −0.0539273 + 0.328942i
\(10\) −24.5850 + 23.2881i −0.777444 + 0.736435i
\(11\) −42.8086 19.8054i −1.17339 0.542868i −0.266335 0.963880i \(-0.585813\pi\)
−0.907055 + 0.421012i \(0.861675\pi\)
\(12\) 19.1388 + 14.5489i 0.460407 + 0.349992i
\(13\) 6.69383 + 40.8306i 0.142810 + 0.871104i 0.956911 + 0.290381i \(0.0937820\pi\)
−0.814101 + 0.580724i \(0.802770\pi\)
\(14\) 33.3715 + 62.9453i 0.637064 + 1.20163i
\(15\) 24.7935 + 5.45746i 0.426777 + 0.0939407i
\(16\) −57.9858 + 26.8271i −0.906027 + 0.419173i
\(17\) 20.0414 50.3002i 0.285927 0.717623i −0.713921 0.700226i \(-0.753083\pi\)
0.999849 0.0173975i \(-0.00553807\pi\)
\(18\) 1.94983 35.9625i 0.0255322 0.470913i
\(19\) −45.9031 + 67.7020i −0.554258 + 0.817469i −0.996855 0.0792516i \(-0.974747\pi\)
0.442597 + 0.896721i \(0.354057\pi\)
\(20\) 43.9019 51.6853i 0.490838 0.577859i
\(21\) 25.0179 47.1889i 0.259970 0.490355i
\(22\) 178.872 + 60.2691i 1.73344 + 0.584064i
\(23\) −1.84786 34.0818i −0.0167524 0.308981i −0.994886 0.101003i \(-0.967795\pi\)
0.978134 0.207977i \(-0.0666880\pi\)
\(24\) −0.140124 0.0843097i −0.00119178 0.000717069i
\(25\) −14.2830 + 51.4427i −0.114264 + 0.411542i
\(26\) −44.2954 159.538i −0.334117 1.20338i
\(27\) −23.1351 + 13.9200i −0.164902 + 0.0992184i
\(28\) −80.0649 118.087i −0.540387 0.797012i
\(29\) −242.890 26.4158i −1.55529 0.169148i −0.710289 0.703910i \(-0.751436\pi\)
−0.845003 + 0.534762i \(0.820401\pi\)
\(30\) −100.996 10.9840i −0.614641 0.0668462i
\(31\) −121.895 179.782i −0.706225 1.04160i −0.996412 0.0846338i \(-0.973028\pi\)
0.290187 0.956970i \(-0.406282\pi\)
\(32\) 219.448 132.038i 1.21229 0.729411i
\(33\) −37.8564 136.347i −0.199696 0.719239i
\(34\) −57.9668 + 208.778i −0.292389 + 1.05309i
\(35\) −129.094 77.6731i −0.623452 0.375118i
\(36\) 3.90464 + 72.0168i 0.0180770 + 0.333411i
\(37\) 9.02428 + 3.04063i 0.0400968 + 0.0135102i 0.339278 0.940686i \(-0.389817\pi\)
−0.299182 + 0.954196i \(0.596714\pi\)
\(38\) 153.322 289.196i 0.654529 1.23457i
\(39\) −80.3580 + 94.6048i −0.329938 + 0.388433i
\(40\) −0.258869 + 0.381804i −0.00102327 + 0.00150921i
\(41\) 25.0649 462.296i 0.0954753 1.76094i −0.423264 0.906006i \(-0.639116\pi\)
0.518740 0.854932i \(-0.326401\pi\)
\(42\) −79.1108 + 198.553i −0.290644 + 0.729462i
\(43\) −371.586 + 171.914i −1.31782 + 0.609690i −0.947661 0.319277i \(-0.896560\pi\)
−0.370162 + 0.928967i \(0.620698\pi\)
\(44\) −369.151 81.2562i −1.26481 0.278405i
\(45\) 35.6745 + 67.2892i 0.118179 + 0.222909i
\(46\) 22.0971 + 134.786i 0.0708270 + 0.432025i
\(47\) −492.476 374.371i −1.52840 1.16186i −0.933774 0.357864i \(-0.883505\pi\)
−0.594631 0.803999i \(-0.702702\pi\)
\(48\) −173.957 80.4812i −0.523095 0.242010i
\(49\) 18.9012 17.9042i 0.0551056 0.0521988i
\(50\) 34.5640 210.831i 0.0977619 0.596321i
\(51\) 153.934 51.8665i 0.422650 0.142407i
\(52\) 122.726 + 308.019i 0.327290 + 0.821435i
\(53\) 218.573 + 207.043i 0.566478 + 0.536596i 0.916442 0.400167i \(-0.131048\pi\)
−0.349965 + 0.936763i \(0.613806\pi\)
\(54\) 86.0146 65.3866i 0.216761 0.164778i
\(55\) −389.821 + 85.8061i −0.955699 + 0.210365i
\(56\) 0.628278 + 0.739666i 0.00149923 + 0.00176504i
\(57\) −243.951 + 26.5313i −0.566879 + 0.0616518i
\(58\) 977.704 2.21343
\(59\) 434.204 + 129.793i 0.958110 + 0.286400i
\(60\) 203.442 0.437738
\(61\) 368.866 40.1166i 0.774238 0.0842034i 0.287534 0.957770i \(-0.407165\pi\)
0.486704 + 0.873567i \(0.338199\pi\)
\(62\) 562.712 + 662.476i 1.15265 + 1.35701i
\(63\) 156.485 34.4451i 0.312942 0.0688837i
\(64\) −408.987 + 310.903i −0.798802 + 0.607233i
\(65\) 254.196 + 240.787i 0.485064 + 0.459477i
\(66\) 209.594 + 526.041i 0.390897 + 0.981078i
\(67\) −409.936 + 138.124i −0.747488 + 0.251858i −0.667164 0.744911i \(-0.732492\pi\)
−0.0803238 + 0.996769i \(0.525595\pi\)
\(68\) 70.1979 428.188i 0.125187 0.763610i
\(69\) 74.3388 70.4175i 0.129701 0.122859i
\(70\) 547.172 + 253.149i 0.934280 + 0.432244i
\(71\) 413.310 + 314.190i 0.690857 + 0.525176i 0.890665 0.454659i \(-0.150239\pi\)
−0.199809 + 0.979835i \(0.564032\pi\)
\(72\) −0.0793698 0.484134i −0.000129914 0.000792441i
\(73\) −274.696 518.132i −0.440421 0.830723i −0.999998 0.00194435i \(-0.999381\pi\)
0.559577 0.828779i \(-0.310964\pi\)
\(74\) −37.2164 8.19194i −0.0584637 0.0128688i
\(75\) −145.363 + 67.2520i −0.223801 + 0.103541i
\(76\) −242.620 + 608.931i −0.366190 + 0.919068i
\(77\) −45.4636 + 838.527i −0.0672865 + 1.24103i
\(78\) 278.752 411.129i 0.404647 0.596810i
\(79\) 101.420 119.401i 0.144439 0.170046i −0.685186 0.728369i \(-0.740279\pi\)
0.829624 + 0.558322i \(0.188555\pi\)
\(80\) −253.253 + 477.685i −0.353931 + 0.667585i
\(81\) −76.7599 25.8634i −0.105295 0.0354779i
\(82\) 100.302 + 1849.97i 0.135080 + 2.49140i
\(83\) −59.2780 35.6664i −0.0783928 0.0471674i 0.475818 0.879544i \(-0.342152\pi\)
−0.554211 + 0.832376i \(0.686980\pi\)
\(84\) 114.505 412.411i 0.148733 0.535687i
\(85\) −122.582 441.499i −0.156422 0.563380i
\(86\) 1403.88 844.687i 1.76028 1.05913i
\(87\) −411.331 606.668i −0.506888 0.747605i
\(88\) 2.55610 + 0.277993i 0.00309638 + 0.000336751i
\(89\) −690.584 75.1056i −0.822492 0.0894514i −0.312812 0.949815i \(-0.601271\pi\)
−0.509680 + 0.860364i \(0.670236\pi\)
\(90\) −171.035 252.258i −0.200319 0.295448i
\(91\) 631.188 379.773i 0.727104 0.437484i
\(92\) −73.1744 263.550i −0.0829234 0.298663i
\(93\) 174.329 627.875i 0.194377 0.700082i
\(94\) 2121.17 + 1276.26i 2.32746 + 1.40039i
\(95\) 37.4744 + 691.175i 0.0404715 + 0.746453i
\(96\) 728.105 + 245.327i 0.774083 + 0.260819i
\(97\) −100.832 + 190.189i −0.105545 + 0.199080i −0.930660 0.365886i \(-0.880766\pi\)
0.825114 + 0.564966i \(0.191111\pi\)
\(98\) −67.4472 + 79.4050i −0.0695225 + 0.0818482i
\(99\) 238.231 351.365i 0.241850 0.356702i
\(100\) −23.1626 + 427.210i −0.0231626 + 0.427210i
\(101\) −102.378 + 256.951i −0.100862 + 0.253144i −0.970745 0.240115i \(-0.922815\pi\)
0.869883 + 0.493258i \(0.164194\pi\)
\(102\) −589.948 + 272.939i −0.572682 + 0.264951i
\(103\) 234.331 + 51.5802i 0.224168 + 0.0493432i 0.325634 0.945496i \(-0.394422\pi\)
−0.101466 + 0.994839i \(0.532353\pi\)
\(104\) −1.05646 1.99269i −0.000996097 0.00187884i
\(105\) −73.1220 446.024i −0.0679616 0.414548i
\(106\) −959.116 729.101i −0.878846 0.668081i
\(107\) −804.614 372.254i −0.726962 0.336329i 0.0212623 0.999774i \(-0.493231\pi\)
−0.748225 + 0.663445i \(0.769094\pi\)
\(108\) −157.082 + 148.796i −0.139956 + 0.132573i
\(109\) −7.72861 + 47.1424i −0.00679143 + 0.0414259i −0.990005 0.141033i \(-0.954958\pi\)
0.983213 + 0.182459i \(0.0584058\pi\)
\(110\) 1513.68 510.018i 1.31203 0.442075i
\(111\) 10.5742 + 26.5393i 0.00904199 + 0.0226937i
\(112\) 825.806 + 782.245i 0.696709 + 0.659957i
\(113\) −1037.40 + 788.613i −0.863634 + 0.656517i −0.940228 0.340545i \(-0.889388\pi\)
0.0765944 + 0.997062i \(0.475595\pi\)
\(114\) 959.017 211.096i 0.787897 0.173429i
\(115\) −186.988 220.140i −0.151624 0.178506i
\(116\) −1946.43 + 211.687i −1.55794 + 0.169436i
\(117\) −372.381 −0.294244
\(118\) −1783.52 328.486i −1.39141 0.256268i
\(119\) −963.986 −0.742592
\(120\) −1.37575 + 0.149622i −0.00104657 + 0.000113822i
\(121\) 578.656 + 681.246i 0.434753 + 0.511830i
\(122\) −1450.08 + 319.187i −1.07610 + 0.236868i
\(123\) 1105.71 840.541i 0.810559 0.616171i
\(124\) −1263.69 1197.03i −0.915183 0.866908i
\(125\) 558.756 + 1402.37i 0.399813 + 1.00346i
\(126\) −607.635 + 204.736i −0.429622 + 0.144757i
\(127\) 301.937 1841.73i 0.210965 1.28683i −0.642745 0.766080i \(-0.722205\pi\)
0.853710 0.520749i \(-0.174347\pi\)
\(128\) 5.06554 4.79833i 0.00349793 0.00331341i
\(129\) −1114.76 515.742i −0.760845 0.352005i
\(130\) −1115.43 847.931i −0.752539 0.572065i
\(131\) −308.515 1881.86i −0.205764 1.25511i −0.864462 0.502698i \(-0.832341\pi\)
0.658698 0.752407i \(-0.271108\pi\)
\(132\) −531.158 1001.87i −0.350238 0.660618i
\(133\) 1422.22 + 313.054i 0.927233 + 0.204099i
\(134\) 1571.07 726.853i 1.01283 0.468586i
\(135\) −84.5704 + 212.256i −0.0539160 + 0.135319i
\(136\) −0.159793 + 2.94720i −0.000100751 + 0.00185824i
\(137\) 187.999 277.278i 0.117240 0.172916i −0.764541 0.644575i \(-0.777034\pi\)
0.881781 + 0.471659i \(0.156345\pi\)
\(138\) −265.271 + 312.301i −0.163633 + 0.192644i
\(139\) −665.109 + 1254.53i −0.405855 + 0.765523i −0.999223 0.0394078i \(-0.987453\pi\)
0.593369 + 0.804931i \(0.297798\pi\)
\(140\) −1144.13 385.502i −0.690689 0.232720i
\(141\) −100.474 1853.13i −0.0600100 1.10682i
\(142\) −1780.18 1071.10i −1.05204 0.632992i
\(143\) 522.111 1880.47i 0.305323 1.09967i
\(144\) −153.833 554.058i −0.0890240 0.320636i
\(145\) −1771.58 + 1065.93i −1.01463 + 0.610485i
\(146\) 1316.98 + 1942.41i 0.746537 + 1.10106i
\(147\) 77.6468 + 8.44460i 0.0435660 + 0.00473809i
\(148\) 75.8645 + 8.25076i 0.0421353 + 0.00458249i
\(149\) 1942.68 + 2865.25i 1.06813 + 1.57537i 0.788271 + 0.615328i \(0.210976\pi\)
0.279856 + 0.960042i \(0.409713\pi\)
\(150\) 549.192 330.438i 0.298942 0.179868i
\(151\) 151.501 + 545.658i 0.0816489 + 0.294073i 0.993090 0.117359i \(-0.0374427\pi\)
−0.911441 + 0.411432i \(0.865029\pi\)
\(152\) 1.19285 4.29627i 0.000636534 0.00229259i
\(153\) 417.557 + 251.236i 0.220637 + 0.132753i
\(154\) −181.932 3355.54i −0.0951980 1.75582i
\(155\) −1741.88 586.907i −0.902652 0.304139i
\(156\) −465.928 + 878.834i −0.239129 + 0.451045i
\(157\) −1352.43 + 1592.20i −0.687487 + 0.809372i −0.989592 0.143902i \(-0.954035\pi\)
0.302105 + 0.953275i \(0.402311\pi\)
\(158\) −351.814 + 518.886i −0.177144 + 0.261268i
\(159\) −48.8983 + 901.875i −0.0243892 + 0.449833i
\(160\) 802.191 2013.35i 0.396368 0.994807i
\(161\) −551.504 + 255.153i −0.269967 + 0.124900i
\(162\) 316.560 + 69.6801i 0.153526 + 0.0337937i
\(163\) −848.033 1599.56i −0.407503 0.768633i 0.591795 0.806089i \(-0.298420\pi\)
−0.999298 + 0.0374558i \(0.988075\pi\)
\(164\) −600.228 3661.23i −0.285792 1.74326i
\(165\) −953.289 724.671i −0.449778 0.341913i
\(166\) 251.254 + 116.242i 0.117476 + 0.0543504i
\(167\) 1878.21 1779.13i 0.870300 0.824392i −0.115327 0.993328i \(-0.536792\pi\)
0.985627 + 0.168936i \(0.0540331\pi\)
\(168\) −0.471020 + 2.87310i −0.000216310 + 0.00131943i
\(169\) 459.667 154.880i 0.209225 0.0704961i
\(170\) 678.679 + 1703.36i 0.306190 + 0.768479i
\(171\) −534.455 506.263i −0.239010 0.226403i
\(172\) −2611.98 + 1985.58i −1.15792 + 0.880225i
\(173\) −3194.42 + 703.144i −1.40386 + 0.309012i −0.851394 0.524527i \(-0.824242\pi\)
−0.552461 + 0.833539i \(0.686311\pi\)
\(174\) 1898.86 + 2235.51i 0.827310 + 0.973984i
\(175\) 944.935 102.768i 0.408174 0.0443916i
\(176\) 3013.61 1.29068
\(177\) 546.522 + 1244.88i 0.232086 + 0.528649i
\(178\) 2779.81 1.17054
\(179\) 2150.79 233.912i 0.898086 0.0976728i 0.352582 0.935781i \(-0.385304\pi\)
0.545504 + 0.838108i \(0.316338\pi\)
\(180\) 395.117 + 465.167i 0.163613 + 0.192620i
\(181\) 3121.70 687.139i 1.28196 0.282180i 0.478788 0.877930i \(-0.341076\pi\)
0.803170 + 0.595750i \(0.203145\pi\)
\(182\) −2346.71 + 1783.92i −0.955766 + 0.726555i
\(183\) 808.123 + 765.495i 0.326438 + 0.309219i
\(184\) 0.688663 + 1.72841i 0.000275918 + 0.000692502i
\(185\) 76.3666 25.7309i 0.0303491 0.0102258i
\(186\) −421.866 + 2573.27i −0.166305 + 1.01441i
\(187\) −1854.16 + 1756.36i −0.725079 + 0.686831i
\(188\) −4499.17 2081.54i −1.74540 0.807510i
\(189\) 382.678 + 290.904i 0.147279 + 0.111959i
\(190\) −448.126 2733.45i −0.171108 1.04371i
\(191\) 742.368 + 1400.25i 0.281235 + 0.530465i 0.983378 0.181571i \(-0.0581181\pi\)
−0.702143 + 0.712036i \(0.747773\pi\)
\(192\) −1505.19 331.318i −0.565771 0.124536i
\(193\) 4841.79 2240.05i 1.80580 0.835453i 0.860341 0.509719i \(-0.170251\pi\)
0.945461 0.325734i \(-0.105611\pi\)
\(194\) 318.846 800.243i 0.117999 0.296155i
\(195\) −56.8677 + 1048.86i −0.0208840 + 0.385183i
\(196\) 117.083 172.684i 0.0426686 0.0629315i
\(197\) −308.740 + 363.477i −0.111659 + 0.131455i −0.815152 0.579247i \(-0.803347\pi\)
0.703493 + 0.710702i \(0.251623\pi\)
\(198\) −795.721 + 1500.89i −0.285603 + 0.538705i
\(199\) 2545.97 + 857.836i 0.906929 + 0.305580i 0.733837 0.679326i \(-0.237728\pi\)
0.173092 + 0.984906i \(0.444624\pi\)
\(200\) −0.157558 2.90599i −5.57053e−5 0.00102742i
\(201\) −1111.98 669.056i −0.390214 0.234784i
\(202\) 296.114 1066.51i 0.103141 0.371481i
\(203\) 1163.69 + 4191.24i 0.402341 + 1.44910i
\(204\) 1115.38 671.103i 0.382806 0.230327i
\(205\) −2198.65 3242.76i −0.749074 1.10480i
\(206\) −954.543 103.813i −0.322846 0.0351116i
\(207\) 305.386 + 33.2128i 0.102540 + 0.0111519i
\(208\) −1483.51 2188.01i −0.494533 0.729382i
\(209\) 3305.92 1989.10i 1.09414 0.658321i
\(210\) 483.874 + 1742.76i 0.159002 + 0.572674i
\(211\) −832.179 + 2997.24i −0.271515 + 0.977907i 0.694516 + 0.719478i \(0.255619\pi\)
−0.966030 + 0.258429i \(0.916795\pi\)
\(212\) 2067.28 + 1243.84i 0.669725 + 0.402960i
\(213\) 84.3223 + 1555.23i 0.0271252 + 0.500295i
\(214\) 3362.01 + 1132.79i 1.07394 + 0.361851i
\(215\) −1622.90 + 3061.12i −0.514796 + 0.971007i
\(216\) 0.952817 1.12174i 0.000300144 0.000353356i
\(217\) −2170.16 + 3200.74i −0.678893 + 1.00129i
\(218\) 10.3496 190.888i 0.00321544 0.0593053i
\(219\) 651.198 1634.38i 0.200931 0.504299i
\(220\) −2903.03 + 1343.08i −0.889646 + 0.411594i
\(221\) 2187.94 + 481.602i 0.665958 + 0.146588i
\(222\) −53.5493 101.005i −0.0161892 0.0305360i
\(223\) 394.863 + 2408.55i 0.118574 + 0.723268i 0.977463 + 0.211107i \(0.0677067\pi\)
−0.858889 + 0.512161i \(0.828845\pi\)
\(224\) −3629.89 2759.37i −1.08273 0.823072i
\(225\) −436.089 201.756i −0.129211 0.0597796i
\(226\) 3785.84 3586.14i 1.11429 1.05551i
\(227\) 259.101 1580.45i 0.0757584 0.462106i −0.921517 0.388338i \(-0.873049\pi\)
0.997275 0.0737678i \(-0.0235024\pi\)
\(228\) −1863.52 + 627.893i −0.541292 + 0.182383i
\(229\) 120.545 + 302.545i 0.0347853 + 0.0873046i 0.945343 0.326077i \(-0.105727\pi\)
−0.910558 + 0.413382i \(0.864348\pi\)
\(230\) 839.131 + 794.867i 0.240568 + 0.227878i
\(231\) −2005.58 + 1524.60i −0.571244 + 0.434248i
\(232\) 13.0068 2.86301i 0.00368077 0.000810199i
\(233\) 512.955 + 603.898i 0.144227 + 0.169797i 0.829532 0.558459i \(-0.188607\pi\)
−0.685305 + 0.728256i \(0.740331\pi\)
\(234\) 1481.42 161.114i 0.413861 0.0450101i
\(235\) −5234.94 −1.45315
\(236\) 3621.79 + 267.796i 0.998976 + 0.0738646i
\(237\) 469.982 0.128813
\(238\) 3834.97 417.078i 1.04447 0.113593i
\(239\) −2953.42 3477.04i −0.799335 0.941050i 0.199913 0.979814i \(-0.435934\pi\)
−0.999248 + 0.0387635i \(0.987658\pi\)
\(240\) −1584.08 + 348.682i −0.426049 + 0.0937805i
\(241\) 2425.10 1843.51i 0.648193 0.492744i −0.228657 0.973507i \(-0.573433\pi\)
0.876850 + 0.480763i \(0.159640\pi\)
\(242\) −2596.78 2459.80i −0.689783 0.653397i
\(243\) −89.9436 225.741i −0.0237444 0.0595939i
\(244\) 2817.74 949.406i 0.739292 0.249096i
\(245\) 35.6432 217.414i 0.00929453 0.0566942i
\(246\) −4035.13 + 3822.28i −1.04581 + 0.990648i
\(247\) −3071.58 1421.06i −0.791255 0.366073i
\(248\) 9.42593 + 7.16540i 0.00241350 + 0.00183469i
\(249\) −33.5766 204.808i −0.00854550 0.0521253i
\(250\) −2829.62 5337.22i −0.715843 1.35022i
\(251\) 2368.87 + 521.428i 0.595705 + 0.131125i 0.502581 0.864530i \(-0.332384\pi\)
0.0931236 + 0.995655i \(0.470315\pi\)
\(252\) 1165.36 539.153i 0.291312 0.134775i
\(253\) −595.900 + 1495.60i −0.148079 + 0.371649i
\(254\) −404.334 + 7457.50i −0.0998825 + 1.84222i
\(255\) 771.409 1137.74i 0.189441 0.279405i
\(256\) 2642.64 3111.16i 0.645176 0.759560i
\(257\) −400.584 + 755.582i −0.0972287 + 0.183393i −0.927355 0.374183i \(-0.877923\pi\)
0.830126 + 0.557575i \(0.188268\pi\)
\(258\) 4657.93 + 1569.44i 1.12399 + 0.378717i
\(259\) −9.17864 169.290i −0.00220206 0.0406146i
\(260\) 2404.21 + 1446.57i 0.573472 + 0.345047i
\(261\) 588.267 2118.75i 0.139513 0.502480i
\(262\) 2041.55 + 7353.01i 0.481403 + 1.73386i
\(263\) 3101.25 1865.96i 0.727115 0.437491i −0.103289 0.994651i \(-0.532937\pi\)
0.830405 + 0.557161i \(0.188109\pi\)
\(264\) 4.32873 + 6.38439i 0.00100915 + 0.00148838i
\(265\) 2532.79 + 275.458i 0.587126 + 0.0638538i
\(266\) −5793.38 630.068i −1.33539 0.145233i
\(267\) −1169.50 1724.88i −0.268060 0.395359i
\(268\) −2970.33 + 1787.19i −0.677021 + 0.407350i
\(269\) −1769.78 6374.18i −0.401136 1.44476i −0.838216 0.545339i \(-0.816401\pi\)
0.437080 0.899423i \(-0.356013\pi\)
\(270\) 244.607 880.995i 0.0551345 0.198576i
\(271\) −3964.41 2385.30i −0.888637 0.534675i −0.00349356 0.999994i \(-0.501112\pi\)
−0.885143 + 0.465319i \(0.845940\pi\)
\(272\) 187.289 + 3454.35i 0.0417503 + 0.770039i
\(273\) 2094.21 + 705.623i 0.464277 + 0.156433i
\(274\) −627.940 + 1184.42i −0.138450 + 0.261144i
\(275\) 1630.28 1919.31i 0.357489 0.420869i
\(276\) 460.488 679.169i 0.100428 0.148120i
\(277\) −341.180 + 6292.70i −0.0740055 + 1.36495i 0.691898 + 0.721996i \(0.256775\pi\)
−0.765903 + 0.642956i \(0.777708\pi\)
\(278\) 2103.18 5278.59i 0.453743 1.13881i
\(279\) 1774.20 820.833i 0.380712 0.176136i
\(280\) 8.02056 + 1.76546i 0.00171186 + 0.000376808i
\(281\) −2947.82 5560.18i −0.625809 1.18040i −0.970367 0.241635i \(-0.922316\pi\)
0.344558 0.938765i \(-0.388029\pi\)
\(282\) 1201.48 + 7328.72i 0.253714 + 1.54758i
\(283\) −2604.36 1979.78i −0.547043 0.415852i 0.294812 0.955555i \(-0.404743\pi\)
−0.841855 + 0.539704i \(0.818536\pi\)
\(284\) 3775.92 + 1746.93i 0.788943 + 0.365004i
\(285\) −1507.58 + 1428.06i −0.313338 + 0.296810i
\(286\) −1263.48 + 7706.88i −0.261228 + 1.59342i
\(287\) −7811.11 + 2631.87i −1.60653 + 0.541304i
\(288\) 853.159 + 2141.27i 0.174559 + 0.438109i
\(289\) 1438.36 + 1362.49i 0.292767 + 0.277323i
\(290\) 6586.61 5007.01i 1.33372 1.01387i
\(291\) −630.695 + 138.826i −0.127051 + 0.0279661i
\(292\) −3042.43 3581.82i −0.609742 0.717844i
\(293\) 3954.08 430.032i 0.788395 0.0857431i 0.294942 0.955515i \(-0.404700\pi\)
0.493454 + 0.869772i \(0.335734\pi\)
\(294\) −312.552 −0.0620013
\(295\) 3589.84 1349.25i 0.708504 0.266293i
\(296\) −0.519094 −0.000101931
\(297\) 1266.07 137.694i 0.247357 0.0269017i
\(298\) −8968.15 10558.1i −1.74333 2.05240i
\(299\) 1379.21 303.587i 0.266762 0.0587188i
\(300\) −1021.79 + 776.748i −0.196644 + 0.149485i
\(301\) 5291.96 + 5012.81i 1.01337 + 0.959913i
\(302\) −838.793 2105.21i −0.159825 0.401130i
\(303\) −786.349 + 264.952i −0.149091 + 0.0502346i
\(304\) 845.480 5157.20i 0.159512 0.972979i
\(305\) 2279.54 2159.29i 0.427954 0.405380i
\(306\) −1769.84 818.817i −0.330638 0.152970i
\(307\) −5506.73 4186.11i −1.02373 0.778220i −0.0483692 0.998830i \(-0.515402\pi\)
−0.975362 + 0.220609i \(0.929196\pi\)
\(308\) 1088.71 + 6640.86i 0.201413 + 1.22856i
\(309\) 337.171 + 635.972i 0.0620744 + 0.117085i
\(310\) 7183.55 + 1581.22i 1.31612 + 0.289701i
\(311\) −3678.11 + 1701.68i −0.670632 + 0.310267i −0.725496 0.688226i \(-0.758390\pi\)
0.0548640 + 0.998494i \(0.482527\pi\)
\(312\) 2.50445 6.28569i 0.000454444 0.00114057i
\(313\) −35.7340 + 659.075i −0.00645305 + 0.119020i 0.993532 + 0.113552i \(0.0362230\pi\)
−0.999985 + 0.00546712i \(0.998260\pi\)
\(314\) 4691.41 6919.31i 0.843157 1.24356i
\(315\) 877.814 1033.44i 0.157013 0.184850i
\(316\) 588.050 1109.18i 0.104685 0.197456i
\(317\) −1999.25 673.626i −0.354224 0.119352i 0.136563 0.990631i \(-0.456394\pi\)
−0.490788 + 0.871279i \(0.663291\pi\)
\(318\) −195.676 3609.04i −0.0345062 0.636430i
\(319\) 9874.60 + 5941.35i 1.73314 + 1.04280i
\(320\) −1163.07 + 4189.00i −0.203180 + 0.731788i
\(321\) −711.535 2562.72i −0.123720 0.445598i
\(322\) 2083.62 1253.68i 0.360608 0.216971i
\(323\) 2485.46 + 3665.78i 0.428157 + 0.631485i
\(324\) −645.298 70.1804i −0.110648 0.0120337i
\(325\) −2196.04 238.834i −0.374814 0.0407635i
\(326\) 4065.75 + 5996.53i 0.690739 + 1.01876i
\(327\) −122.801 + 73.8867i −0.0207673 + 0.0124952i
\(328\) 6.75164 + 24.3172i 0.00113658 + 0.00409358i
\(329\) −2946.43 + 10612.1i −0.493745 + 1.77831i
\(330\) 4105.95 + 2470.47i 0.684925 + 0.412106i
\(331\) 146.584 + 2703.58i 0.0243414 + 0.448950i 0.985145 + 0.171722i \(0.0549330\pi\)
−0.960804 + 0.277228i \(0.910584\pi\)
\(332\) −525.368 177.017i −0.0868473 0.0292623i
\(333\) −40.1449 + 75.7213i −0.00660639 + 0.0124610i
\(334\) −6702.21 + 7890.45i −1.09799 + 1.29265i
\(335\) −2054.31 + 3029.88i −0.335041 + 0.494149i
\(336\) −184.746 + 3407.44i −0.0299962 + 0.553247i
\(337\) 2771.00 6954.68i 0.447910 1.12417i −0.515679 0.856782i \(-0.672460\pi\)
0.963589 0.267388i \(-0.0861605\pi\)
\(338\) −1761.66 + 815.030i −0.283496 + 0.131159i
\(339\) −3817.95 840.395i −0.611690 0.134643i
\(340\) −1719.92 3244.12i −0.274341 0.517462i
\(341\) 1657.51 + 10110.4i 0.263224 + 1.60559i
\(342\) 2345.23 + 1782.80i 0.370806 + 0.281879i
\(343\) −5962.88 2758.72i −0.938674 0.434277i
\(344\) 16.2029 15.3482i 0.00253954 0.00240558i
\(345\) 140.185 855.093i 0.0218763 0.133440i
\(346\) 12403.9 4179.38i 1.92728 0.649378i
\(347\) 196.292 + 492.656i 0.0303675 + 0.0762166i 0.943378 0.331718i \(-0.107628\pi\)
−0.913011 + 0.407935i \(0.866249\pi\)
\(348\) −4264.29 4039.35i −0.656867 0.622218i
\(349\) 5591.98 4250.91i 0.857684 0.651995i −0.0810221 0.996712i \(-0.525818\pi\)
0.938706 + 0.344718i \(0.112025\pi\)
\(350\) −3714.72 + 817.672i −0.567315 + 0.124875i
\(351\) −723.222 851.443i −0.109979 0.129478i
\(352\) −12009.3 + 1306.09i −1.81846 + 0.197770i
\(353\) 12897.6 1.94468 0.972340 0.233569i \(-0.0750404\pi\)
0.972340 + 0.233569i \(0.0750404\pi\)
\(354\) −2712.81 4715.98i −0.407300 0.708054i
\(355\) 4393.42 0.656840
\(356\) −5534.08 + 601.868i −0.823892 + 0.0896037i
\(357\) −1872.21 2204.14i −0.277558 0.326766i
\(358\) −8455.15 + 1861.12i −1.24824 + 0.274758i
\(359\) 3192.39 2426.79i 0.469325 0.356772i −0.343623 0.939108i \(-0.611654\pi\)
0.812948 + 0.582336i \(0.197861\pi\)
\(360\) −3.01404 2.85505i −0.000441261 0.000417985i
\(361\) 62.3080 + 156.381i 0.00908413 + 0.0227994i
\(362\) −12121.6 + 4084.24i −1.75994 + 0.592992i
\(363\) −433.819 + 2646.18i −0.0627261 + 0.382612i
\(364\) 4285.61 4059.55i 0.617108 0.584555i
\(365\) −4504.03 2083.79i −0.645895 0.298823i
\(366\) −3546.11 2695.68i −0.506443 0.384988i
\(367\) 1807.62 + 11026.0i 0.257104 + 1.56827i 0.727687 + 0.685910i \(0.240595\pi\)
−0.470583 + 0.882356i \(0.655956\pi\)
\(368\) 1021.47 + 1926.69i 0.144694 + 0.272923i
\(369\) 4069.36 + 895.733i 0.574098 + 0.126369i
\(370\) −292.672 + 135.405i −0.0411224 + 0.0190253i
\(371\) 1983.96 4979.36i 0.277633 0.696807i
\(372\) 282.708 5214.23i 0.0394024 0.726735i
\(373\) −3865.32 + 5700.92i −0.536565 + 0.791374i −0.995263 0.0972183i \(-0.969005\pi\)
0.458698 + 0.888592i \(0.348316\pi\)
\(374\) 6616.41 7789.44i 0.914776 1.07696i
\(375\) −2121.31 + 4001.21i −0.292117 + 0.550992i
\(376\) 31.9561 + 10.7672i 0.00438300 + 0.00147680i
\(377\) −547.289 10094.1i −0.0747660 1.37898i
\(378\) −1648.25 991.718i −0.224277 0.134943i
\(379\) 2668.08 9609.56i 0.361610 1.30240i −0.529383 0.848383i \(-0.677576\pi\)
0.890993 0.454018i \(-0.150010\pi\)
\(380\) 1483.97 + 5344.76i 0.200331 + 0.721528i
\(381\) 4797.50 2886.56i 0.645101 0.388145i
\(382\) −3559.16 5249.36i −0.476707 0.703091i
\(383\) −11418.3 1241.82i −1.52337 0.165676i −0.692203 0.721703i \(-0.743360\pi\)
−0.831164 + 0.556027i \(0.812325\pi\)
\(384\) 20.8094 + 2.26316i 0.00276543 + 0.000300759i
\(385\) 3987.98 + 5881.83i 0.527912 + 0.778612i
\(386\) −18292.7 + 11006.3i −2.41210 + 1.45131i
\(387\) −985.801 3550.54i −0.129486 0.466367i
\(388\) −461.499 + 1662.17i −0.0603842 + 0.217484i
\(389\) 4330.88 + 2605.81i 0.564484 + 0.339639i 0.769025 0.639219i \(-0.220742\pi\)
−0.204540 + 0.978858i \(0.565570\pi\)
\(390\) −227.568 4197.24i −0.0295470 0.544963i
\(391\) −1751.36 590.101i −0.226522 0.0763240i
\(392\) −0.664757 + 1.25387i −8.56513e−5 + 0.000161555i
\(393\) 3703.66 4360.29i 0.475382 0.559662i
\(394\) 1070.98 1579.58i 0.136942 0.201975i
\(395\) 71.7729 1323.77i 0.00914250 0.168623i
\(396\) 1259.17 3160.28i 0.159787 0.401035i
\(397\) −4980.41 + 2304.18i −0.629621 + 0.291294i −0.708630 0.705580i \(-0.750687\pi\)
0.0790089 + 0.996874i \(0.474824\pi\)
\(398\) −10499.6 2311.14i −1.32236 0.291073i
\(399\) 2046.38 + 3859.88i 0.256760 + 0.484300i
\(400\) −551.847 3366.12i −0.0689808 0.420764i
\(401\) −7536.58 5729.16i −0.938551 0.713468i 0.0195770 0.999808i \(-0.493768\pi\)
−0.958128 + 0.286340i \(0.907561\pi\)
\(402\) 4713.20 + 2180.56i 0.584759 + 0.270538i
\(403\) 6524.64 6180.46i 0.806489 0.763947i
\(404\) −358.595 + 2187.33i −0.0441603 + 0.269366i
\(405\) −649.569 + 218.865i −0.0796971 + 0.0268531i
\(406\) −6442.83 16170.3i −0.787567 1.97665i
\(407\) −326.096 308.895i −0.0397150 0.0376200i
\(408\) −7.04908 + 5.35857i −0.000855347 + 0.000650218i
\(409\) 13133.3 2890.86i 1.58778 0.349497i 0.668688 0.743543i \(-0.266856\pi\)
0.919091 + 0.394046i \(0.128925\pi\)
\(410\) 10149.8 + 11949.2i 1.22259 + 1.43934i
\(411\) 999.117 108.660i 0.119909 0.0130409i
\(412\) 1922.80 0.229926
\(413\) −714.644 8036.62i −0.0851461 0.957521i
\(414\) −1229.27 −0.145931
\(415\) −581.999 + 63.2962i −0.0688415 + 0.00748696i
\(416\) 6860.12 + 8076.35i 0.808521 + 0.951865i
\(417\) −4160.21 + 915.731i −0.488552 + 0.107538i
\(418\) −12291.1 + 9343.48i −1.43823 + 1.09331i
\(419\) −8773.28 8310.49i −1.02292 0.968959i −0.0233914 0.999726i \(-0.507446\pi\)
−0.999527 + 0.0307670i \(0.990205\pi\)
\(420\) −1340.63 3364.74i −0.155753 0.390911i
\(421\) −9780.52 + 3295.44i −1.13224 + 0.381497i −0.822184 0.569221i \(-0.807245\pi\)
−0.310057 + 0.950718i \(0.600348\pi\)
\(422\) 2013.83 12283.8i 0.232302 1.41698i
\(423\) 4042.01 3828.80i 0.464608 0.440101i
\(424\) −14.8946 6.89096i −0.00170600 0.000789280i
\(425\) 2301.33 + 1749.42i 0.262661 + 0.199670i
\(426\) −1008.34 6150.62i −0.114682 0.699527i
\(427\) −3094.23 5836.34i −0.350680 0.661453i
\(428\) −6938.40 1527.26i −0.783599 0.172483i
\(429\) 5313.70 2458.38i 0.598014 0.276671i
\(430\) 5131.88 12880.0i 0.575538 1.44449i
\(431\) −597.593 + 11022.0i −0.0667867 + 1.23181i 0.752566 + 0.658517i \(0.228816\pi\)
−0.819352 + 0.573290i \(0.805667\pi\)
\(432\) 968.077 1427.81i 0.107816 0.159017i
\(433\) 1023.73 1205.23i 0.113620 0.133764i −0.702412 0.711771i \(-0.747894\pi\)
0.816032 + 0.578007i \(0.196169\pi\)
\(434\) 7248.58 13672.3i 0.801712 1.51219i
\(435\) −5877.92 1980.50i −0.647873 0.218294i
\(436\) 20.7257 + 382.263i 0.00227656 + 0.0419887i
\(437\) 2392.23 + 1439.36i 0.261867 + 0.157560i
\(438\) −1883.49 + 6783.73i −0.205472 + 0.740043i
\(439\) −1573.10 5665.78i −0.171024 0.615975i −0.998514 0.0544935i \(-0.982646\pi\)
0.827490 0.561481i \(-0.189768\pi\)
\(440\) 18.6436 11.2175i 0.00202000 0.00121539i
\(441\) 131.494 + 193.939i 0.0141987 + 0.0209415i
\(442\) −8912.53 969.296i −0.959108 0.104309i
\(443\) 551.634 + 59.9938i 0.0591623 + 0.00643429i 0.137652 0.990481i \(-0.456044\pi\)
−0.0784900 + 0.996915i \(0.525010\pi\)
\(444\) 128.476 + 189.487i 0.0137324 + 0.0202538i
\(445\) −5036.97 + 3030.64i −0.536573 + 0.322845i
\(446\) −2612.95 9410.98i −0.277414 0.999154i
\(447\) −2778.34 + 10006.7i −0.293985 + 1.05884i
\(448\) 7837.17 + 4715.47i 0.826499 + 0.497288i
\(449\) 676.426 + 12475.9i 0.0710969 + 1.31130i 0.788668 + 0.614819i \(0.210771\pi\)
−0.717571 + 0.696485i \(0.754746\pi\)
\(450\) 1822.16 + 613.957i 0.190883 + 0.0643160i
\(451\) −10228.9 + 19293.8i −1.06799 + 2.01444i
\(452\) −6760.45 + 7959.02i −0.703507 + 0.828232i
\(453\) −953.400 + 1406.16i −0.0988844 + 0.145844i
\(454\) −346.971 + 6399.51i −0.0358682 + 0.661550i
\(455\) 2307.30 5790.89i 0.237732 0.596662i
\(456\) 12.1401 5.61659i 0.00124673 0.000576800i
\(457\) 13671.3 + 3009.28i 1.39938 + 0.308027i 0.849664 0.527325i \(-0.176805\pi\)
0.549716 + 0.835352i \(0.314736\pi\)
\(458\) −610.457 1151.44i −0.0622812 0.117475i
\(459\) 236.515 + 1442.68i 0.0240514 + 0.146707i
\(460\) −1842.65 1400.75i −0.186770 0.141979i
\(461\) −6290.77 2910.42i −0.635554 0.294039i 0.0755323 0.997143i \(-0.475934\pi\)
−0.711086 + 0.703105i \(0.751796\pi\)
\(462\) 7319.05 6932.97i 0.737041 0.698162i
\(463\) −2486.89 + 15169.4i −0.249623 + 1.52264i 0.503059 + 0.864252i \(0.332208\pi\)
−0.752683 + 0.658383i \(0.771241\pi\)
\(464\) 14792.8 4984.27i 1.48004 0.498684i
\(465\) −2041.05 5122.65i −0.203551 0.510876i
\(466\) −2301.94 2180.52i −0.228832 0.216761i
\(467\) −839.930 + 638.498i −0.0832276 + 0.0632680i −0.645961 0.763371i \(-0.723543\pi\)
0.562733 + 0.826639i \(0.309750\pi\)
\(468\) −2914.35 + 641.497i −0.287854 + 0.0633615i
\(469\) 4985.81 + 5869.75i 0.490882 + 0.577911i
\(470\) 20825.9 2264.95i 2.04389 0.222286i
\(471\) −6267.17 −0.613113
\(472\) −24.6889 + 0.852717i −0.00240762 + 8.31557e-5i
\(473\) 19311.9 1.87730
\(474\) −1869.70 + 203.343i −0.181178 + 0.0197043i
\(475\) −2827.14 3328.37i −0.273091 0.321507i
\(476\) −7544.41 + 1660.65i −0.726466 + 0.159907i
\(477\) −2157.09 + 1639.78i −0.207058 + 0.157401i
\(478\) 13253.8 + 12554.7i 1.26823 + 1.20133i
\(479\) −1265.76 3176.81i −0.120739 0.303032i 0.856168 0.516698i \(-0.172839\pi\)
−0.976907 + 0.213666i \(0.931460\pi\)
\(480\) 6161.48 2076.04i 0.585899 0.197412i
\(481\) −63.7438 + 388.820i −0.00604255 + 0.0368579i
\(482\) −8850.03 + 8383.20i −0.836324 + 0.792208i
\(483\) −1654.51 765.459i −0.155865 0.0721110i
\(484\) 5702.29 + 4334.77i 0.535527 + 0.407097i
\(485\) 294.709 + 1797.64i 0.0275918 + 0.168303i
\(486\) 455.487 + 859.139i 0.0425130 + 0.0801880i
\(487\) 11023.4 + 2426.43i 1.02570 + 0.225774i 0.695795 0.718240i \(-0.255052\pi\)
0.329906 + 0.944014i \(0.392983\pi\)
\(488\) −18.3564 + 8.49258i −0.00170278 + 0.000787789i
\(489\) 2010.36 5045.61i 0.185913 0.466606i
\(490\) −47.7310 + 880.347i −0.00440055 + 0.0811633i
\(491\) 2920.24 4307.03i 0.268408 0.395873i −0.669469 0.742840i \(-0.733478\pi\)
0.937877 + 0.346967i \(0.112789\pi\)
\(492\) 7205.61 8483.10i 0.660273 0.777333i
\(493\) −6196.58 + 11688.0i −0.566085 + 1.06775i
\(494\) 12834.3 + 4324.39i 1.16891 + 0.393853i
\(495\) −194.487 3587.11i −0.0176597 0.325714i
\(496\) 11891.2 + 7154.68i 1.07647 + 0.647691i
\(497\) 2472.79 8906.18i 0.223179 0.803817i
\(498\) 222.188 + 800.249i 0.0199930 + 0.0720081i
\(499\) −2663.84 + 1602.78i −0.238978 + 0.143788i −0.630005 0.776591i \(-0.716947\pi\)
0.391028 + 0.920379i \(0.372120\pi\)
\(500\) 6788.82 + 10012.8i 0.607211 + 0.895569i
\(501\) 7715.74 + 839.137i 0.688052 + 0.0748301i
\(502\) −9649.55 1049.45i −0.857930 0.0933055i
\(503\) −5568.83 8213.40i −0.493642 0.728067i 0.496515 0.868028i \(-0.334613\pi\)
−0.990157 + 0.139961i \(0.955302\pi\)
\(504\) −7.48409 + 4.50303i −0.000661444 + 0.000397978i
\(505\) 626.189 + 2255.33i 0.0551783 + 0.198734i
\(506\) 1723.55 6207.66i 0.151425 0.545384i
\(507\) 1246.88 + 750.221i 0.109222 + 0.0657170i
\(508\) −809.700 14934.0i −0.0707177 1.30431i
\(509\) −11391.5 3838.23i −0.991980 0.334237i −0.223915 0.974609i \(-0.571884\pi\)
−0.768065 + 0.640372i \(0.778780\pi\)
\(510\) −2576.60 + 4859.98i −0.223713 + 0.421968i
\(511\) −6759.23 + 7957.58i −0.585148 + 0.688890i
\(512\) −9198.32 + 13566.5i −0.793969 + 1.17102i
\(513\) 119.566 2205.27i 0.0102904 0.189795i
\(514\) 1266.71 3179.21i 0.108701 0.272819i
\(515\) 1842.80 852.569i 0.157676 0.0729489i
\(516\) −9612.87 2115.95i −0.820122 0.180523i
\(517\) 13667.7 + 25780.0i 1.16268 + 2.19304i
\(518\) 109.760 + 669.506i 0.00930999 + 0.0567884i
\(519\) −7811.79 5938.37i −0.660693 0.502246i
\(520\) −17.3221 8.01405i −0.00146082 0.000675845i
\(521\) 5215.22 4940.12i 0.438547 0.415414i −0.436309 0.899797i \(-0.643715\pi\)
0.874856 + 0.484383i \(0.160956\pi\)
\(522\) −1423.57 + 8683.41i −0.119364 + 0.728089i
\(523\) −19730.9 + 6648.11i −1.64966 + 0.555834i −0.982041 0.188670i \(-0.939582\pi\)
−0.667617 + 0.744505i \(0.732686\pi\)
\(524\) −5656.39 14196.5i −0.471566 1.18354i
\(525\) 2070.19 + 1960.99i 0.172096 + 0.163018i
\(526\) −11530.2 + 8765.04i −0.955781 + 0.726566i
\(527\) −11486.0 + 2528.26i −0.949408 + 0.208981i
\(528\) 5852.91 + 6890.58i 0.482415 + 0.567943i
\(529\) 10937.5 1189.53i 0.898950 0.0977667i
\(530\) −10195.3 −0.835573
\(531\) −1784.97 + 3667.37i −0.145877 + 0.299718i
\(532\) 11670.0 0.951046
\(533\) 19043.6 2071.11i 1.54760 0.168311i
\(534\) 5398.83 + 6355.99i 0.437510 + 0.515076i
\(535\) −7326.92 + 1612.78i −0.592094 + 0.130330i
\(536\) 18.7721 14.2702i 0.00151275 0.00114996i
\(537\) 4712.01 + 4463.45i 0.378656 + 0.358682i
\(538\) 9798.48 + 24592.3i 0.785209 + 1.97073i
\(539\) −1163.73 + 392.108i −0.0929974 + 0.0313345i
\(540\) −296.219 + 1806.86i −0.0236060 + 0.143990i
\(541\) 3287.27 3113.87i 0.261240 0.247460i −0.545857 0.837878i \(-0.683796\pi\)
0.807097 + 0.590419i \(0.201037\pi\)
\(542\) 16803.4 + 7774.08i 1.33168 + 0.616099i
\(543\) 7633.98 + 5803.20i 0.603325 + 0.458636i
\(544\) −2243.46 13684.5i −0.176816 1.07853i
\(545\) 189.359 + 357.169i 0.0148830 + 0.0280724i
\(546\) −8636.59 1901.06i −0.676945 0.149007i
\(547\) 3253.81 1505.37i 0.254338 0.117669i −0.288578 0.957456i \(-0.593182\pi\)
0.542916 + 0.839787i \(0.317320\pi\)
\(548\) 993.667 2493.92i 0.0774587 0.194407i
\(549\) −180.790 + 3334.47i −0.0140545 + 0.259220i
\(550\) −5655.24 + 8340.85i −0.438437 + 0.646646i
\(551\) 12937.8 15231.6i 1.00031 1.17765i
\(552\) −2.61450 + 4.93147i −0.000201595 + 0.000380249i
\(553\) −2643.11 890.568i −0.203249 0.0684825i
\(554\) −1365.30 25181.5i −0.104704 1.93115i
\(555\) 207.149 + 124.638i 0.0158432 + 0.00953256i
\(556\) −3044.15 + 10964.1i −0.232196 + 0.836294i
\(557\) −4316.95 15548.2i −0.328393 1.18276i −0.924917 0.380170i \(-0.875866\pi\)
0.596524 0.802595i \(-0.296548\pi\)
\(558\) −6703.07 + 4033.10i −0.508537 + 0.305976i
\(559\) −9506.69 14021.3i −0.719302 1.06089i
\(560\) 9569.33 + 1040.73i 0.722104 + 0.0785335i
\(561\) −7616.96 828.395i −0.573241 0.0623438i
\(562\) 14132.8 + 20844.3i 1.06078 + 1.56453i
\(563\) −12530.1 + 7539.10i −0.937975 + 0.564361i −0.900462 0.434936i \(-0.856771\pi\)
−0.0375130 + 0.999296i \(0.511944\pi\)
\(564\) −3978.70 14330.0i −0.297045 1.06986i
\(565\) −2950.15 + 10625.5i −0.219670 + 0.791181i
\(566\) 11217.4 + 6749.26i 0.833041 + 0.501224i
\(567\) 78.0729 + 1439.97i 0.00578263 + 0.106654i
\(568\) −26.8191 9.03639i −0.00198117 0.000667533i
\(569\) 2717.43 5125.62i 0.200212 0.377640i −0.762993 0.646406i \(-0.776271\pi\)
0.963205 + 0.268766i \(0.0866160\pi\)
\(570\) 5379.66 6333.42i 0.395314 0.465400i
\(571\) 4374.84 6452.41i 0.320633 0.472898i −0.632880 0.774250i \(-0.718127\pi\)
0.953513 + 0.301352i \(0.0974378\pi\)
\(572\) 846.704 15616.5i 0.0618924 1.14154i
\(573\) −1759.87 + 4416.93i −0.128306 + 0.322024i
\(574\) 29935.8 13849.8i 2.17682 1.00710i
\(575\) 1779.66 + 391.732i 0.129073 + 0.0284110i
\(576\) −2165.77 4085.08i −0.156667 0.295506i
\(577\) 3549.63 + 21651.8i 0.256106 + 1.56217i 0.731152 + 0.682214i \(0.238983\pi\)
−0.475047 + 0.879960i \(0.657569\pi\)
\(578\) −6311.65 4797.99i −0.454204 0.345277i
\(579\) 14525.4 + 6720.16i 1.04258 + 0.482349i
\(580\) −12028.6 + 11394.1i −0.861140 + 0.815715i
\(581\) −199.260 + 1215.43i −0.0142284 + 0.0867896i
\(582\) 2448.99 825.162i 0.174423 0.0587699i
\(583\) −5256.24 13192.2i −0.373398 0.937159i
\(584\) 23.2084 + 21.9841i 0.00164447 + 0.00155772i
\(585\) −2508.66 + 1907.03i −0.177300 + 0.134780i
\(586\) −15544.2 + 3421.55i −1.09578 + 0.241199i
\(587\) 8522.77 + 10033.8i 0.599271 + 0.705517i 0.975248 0.221112i \(-0.0709687\pi\)
−0.375977 + 0.926629i \(0.622693\pi\)
\(588\) 622.232 67.6719i 0.0436402 0.00474616i
\(589\) 17766.9 1.24291
\(590\) −13697.5 + 6920.82i −0.955792 + 0.482925i
\(591\) −1430.71 −0.0995795
\(592\) −604.851 + 65.7815i −0.0419919 + 0.00456690i
\(593\) 3959.92 + 4661.98i 0.274224 + 0.322841i 0.881984 0.471280i \(-0.156208\pi\)
−0.607760 + 0.794121i \(0.707932\pi\)
\(594\) −4977.18 + 1095.56i −0.343798 + 0.0756757i
\(595\) −6494.20 + 4936.76i −0.447456 + 0.340147i
\(596\) 20139.9 + 19077.5i 1.38417 + 1.31115i
\(597\) 2983.24 + 7487.37i 0.204516 + 0.513296i
\(598\) −5355.49 + 1804.47i −0.366224 + 0.123395i
\(599\) 2919.29 17806.9i 0.199130 1.21464i −0.678245 0.734836i \(-0.737259\pi\)
0.877375 0.479805i \(-0.159292\pi\)
\(600\) 6.33851 6.00416i 0.000431281 0.000408531i
\(601\) −13765.5 6368.61i −0.934288 0.432248i −0.107148 0.994243i \(-0.534172\pi\)
−0.827140 + 0.561995i \(0.810034\pi\)
\(602\) −23221.6 17652.6i −1.57216 1.19512i
\(603\) −629.854 3841.94i −0.0425367 0.259462i
\(604\) 2125.69 + 4009.48i 0.143200 + 0.270105i
\(605\) 7387.09 + 1626.02i 0.496410 + 0.109268i
\(606\) 3013.65 1394.26i 0.202015 0.0934623i
\(607\) 8466.70 21249.8i 0.566149 1.42093i −0.315456 0.948940i \(-0.602157\pi\)
0.881605 0.471987i \(-0.156463\pi\)
\(608\) −1134.14 + 20918.0i −0.0756506 + 1.39529i
\(609\) −7323.13 + 10800.8i −0.487272 + 0.718672i
\(610\) −8134.32 + 9576.46i −0.539916 + 0.635639i
\(611\) 11989.2 22614.0i 0.793832 1.49733i
\(612\) 3700.72 + 1246.92i 0.244432 + 0.0823589i
\(613\) −1470.01 27112.7i −0.0968564 1.78641i −0.494806 0.869004i \(-0.664761\pi\)
0.397949 0.917407i \(-0.369722\pi\)
\(614\) 23718.3 + 14270.8i 1.55894 + 0.937985i
\(615\) 3144.41 11325.1i 0.206170 0.742559i
\(616\) −12.2464 44.1074i −0.000801006 0.00288496i
\(617\) −17915.5 + 10779.4i −1.16897 + 0.703344i −0.961475 0.274893i \(-0.911358\pi\)
−0.207491 + 0.978237i \(0.566530\pi\)
\(618\) −1616.51 2384.17i −0.105219 0.155187i
\(619\) 17818.2 + 1937.85i 1.15699 + 0.125830i 0.666422 0.745574i \(-0.267825\pi\)
0.490565 + 0.871404i \(0.336790\pi\)
\(620\) −14643.5 1592.57i −0.948542 0.103160i
\(621\) 517.168 + 762.766i 0.0334191 + 0.0492895i
\(622\) 13896.2 8361.05i 0.895797 0.538983i
\(623\) 3308.61 + 11916.5i 0.212771 + 0.766334i
\(624\) 2121.65 7641.50i 0.136112 0.490232i
\(625\) 5227.73 + 3145.42i 0.334575 + 0.201307i
\(626\) −142.997 2637.42i −0.00912988 0.168391i
\(627\) 10968.7 + 3695.78i 0.698639 + 0.235399i
\(628\) −7841.59 + 14790.8i −0.498270 + 0.939837i
\(629\) 333.804 392.985i 0.0211600 0.0249115i
\(630\) −3045.03 + 4491.08i −0.192566 + 0.284014i
\(631\) 1222.70 22551.4i 0.0771394 1.42275i −0.662153 0.749368i \(-0.730357\pi\)
0.739293 0.673384i \(-0.235160\pi\)
\(632\) −3.16087 + 7.93319i −0.000198944 + 0.000499312i
\(633\) −8469.37 + 3918.35i −0.531796 + 0.246035i
\(634\) 8244.96 + 1814.85i 0.516482 + 0.113686i
\(635\) −7397.77 13953.7i −0.462318 0.872023i
\(636\) 1170.96 + 7142.56i 0.0730058 + 0.445316i
\(637\) 857.559 + 651.900i 0.0533403 + 0.0405482i
\(638\) −41854.2 19363.8i −2.59721 1.20160i
\(639\) −3392.25 + 3213.31i −0.210008 + 0.198931i
\(640\) 9.55240 58.2671i 0.000589987 0.00359876i
\(641\) −12175.2 + 4102.29i −0.750219 + 0.252778i −0.668332 0.743864i \(-0.732991\pi\)
−0.0818871 + 0.996642i \(0.526095\pi\)
\(642\) 3939.44 + 9887.26i 0.242177 + 0.607818i
\(643\) −3794.94 3594.76i −0.232749 0.220472i 0.562432 0.826844i \(-0.309866\pi\)
−0.795181 + 0.606372i \(0.792624\pi\)
\(644\) −3876.67 + 2946.97i −0.237208 + 0.180321i
\(645\) −10151.1 + 2234.44i −0.619691 + 0.136404i
\(646\) −11473.8 13508.0i −0.698810 0.822703i
\(647\) −24726.1 + 2689.13i −1.50245 + 0.163401i −0.822039 0.569431i \(-0.807164\pi\)
−0.680410 + 0.732832i \(0.738198\pi\)
\(648\) 4.41537 0.000267673
\(649\) −16017.1 14155.8i −0.968759 0.856187i
\(650\) 8839.73 0.533419
\(651\) −11533.2 + 1254.32i −0.694352 + 0.0755154i
\(652\) −9392.48 11057.7i −0.564168 0.664190i
\(653\) 12121.3 2668.11i 0.726408 0.159895i 0.163653 0.986518i \(-0.447672\pi\)
0.562755 + 0.826623i \(0.309741\pi\)
\(654\) 456.563 347.070i 0.0272982 0.0207516i
\(655\) −11715.8 11097.8i −0.698890 0.662024i
\(656\) 10948.6 + 27479.0i 0.651634 + 1.63548i
\(657\) 5001.73 1685.28i 0.297011 0.100075i
\(658\) 7130.20 43492.3i 0.422438 2.57676i
\(659\) −13176.1 + 12481.0i −0.778857 + 0.737772i −0.969819 0.243825i \(-0.921598\pi\)
0.190962 + 0.981597i \(0.438839\pi\)
\(660\) −8709.08 4029.25i −0.513637 0.237634i
\(661\) 4520.56 + 3436.44i 0.266005 + 0.202212i 0.729671 0.683798i \(-0.239673\pi\)
−0.463666 + 0.886010i \(0.653466\pi\)
\(662\) −1752.88 10692.1i −0.102912 0.627734i
\(663\) 3148.15 + 5938.04i 0.184410 + 0.347835i
\(664\) 3.68293 + 0.810674i 0.000215249 + 4.73799e-5i
\(665\) 11184.4 5174.47i 0.652201 0.301740i
\(666\) 126.945 318.607i 0.00738589 0.0185372i
\(667\) −451.474 + 8326.94i −0.0262086 + 0.483389i
\(668\) 11634.5 17159.5i 0.673878 0.993896i
\(669\) −4740.24 + 5580.64i −0.273944 + 0.322511i
\(670\) 6861.63 12942.4i 0.395653 0.746281i
\(671\) −16585.2 5588.20i −0.954194 0.321505i
\(672\) −740.560 13658.8i −0.0425115 0.784078i
\(673\) −21431.3 12894.8i −1.22751 0.738569i −0.254000 0.967204i \(-0.581746\pi\)
−0.973512 + 0.228635i \(0.926574\pi\)
\(674\) −8014.69 + 28866.3i −0.458033 + 1.64969i
\(675\) −385.641 1388.95i −0.0219901 0.0792012i
\(676\) 3330.67 2004.00i 0.189501 0.114019i
\(677\) −12054.3 17778.8i −0.684322 1.00930i −0.998208 0.0598386i \(-0.980941\pi\)
0.313886 0.949461i \(-0.398369\pi\)
\(678\) 15552.4 + 1691.42i 0.880951 + 0.0958092i
\(679\) 3810.00 + 414.362i 0.215338 + 0.0234194i
\(680\) 14.0167 + 20.6731i 0.000790465 + 0.00116585i
\(681\) 4116.89 2477.05i 0.231658 0.139384i
\(682\) −10968.3 39504.4i −0.615835 2.21804i
\(683\) −3033.17 + 10924.5i −0.169928 + 0.612027i 0.828701 + 0.559691i \(0.189080\pi\)
−0.998630 + 0.0523353i \(0.983334\pi\)
\(684\) −5054.92 3041.45i −0.282573 0.170018i
\(685\) −153.479 2830.75i −0.00856077 0.157894i
\(686\) 24915.4 + 8394.97i 1.38670 + 0.467232i
\(687\) −457.648 + 863.216i −0.0254154 + 0.0479385i
\(688\) 16934.8 19937.1i 0.938418 1.10479i
\(689\) −6990.61 + 10310.4i −0.386532 + 0.570093i
\(690\) −187.727 + 3462.42i −0.0103575 + 0.191032i
\(691\) 693.730 1741.13i 0.0381921 0.0958550i −0.908644 0.417573i \(-0.862881\pi\)
0.946836 + 0.321718i \(0.104260\pi\)
\(692\) −23789.1 + 11006.0i −1.30683 + 0.604602i
\(693\) −7381.13 1624.71i −0.404597 0.0890586i
\(694\) −994.050 1874.98i −0.0543712 0.102555i
\(695\) 1943.97 + 11857.7i 0.106099 + 0.647176i
\(696\) 31.8075 + 24.1795i 0.00173227 + 0.00131684i
\(697\) −22751.2 10525.8i −1.23639 0.572016i
\(698\) −20407.1 + 19330.6i −1.10662 + 1.04824i
\(699\) −384.563 + 2345.73i −0.0208090 + 0.126929i
\(700\) 7218.28 2432.12i 0.389750 0.131322i
\(701\) −6677.86 16760.2i −0.359799 0.903028i −0.991770 0.128035i \(-0.959133\pi\)
0.631970 0.774993i \(-0.282246\pi\)
\(702\) 3245.54 + 3074.34i 0.174494 + 0.165290i
\(703\) −620.100 + 471.388i −0.0332681 + 0.0252898i
\(704\) 23665.7 5209.22i 1.26695 0.278878i
\(705\) −10167.1 11969.6i −0.543142 0.639436i
\(706\) −51310.0 + 5580.30i −2.73524 + 0.297475i
\(707\) 4924.37 0.261952
\(708\) 6421.77 + 8801.27i 0.340883 + 0.467192i
\(709\) −12039.8 −0.637750 −0.318875 0.947797i \(-0.603305\pi\)
−0.318875 + 0.947797i \(0.603305\pi\)
\(710\) −17478.1 + 1900.86i −0.923860 + 0.100476i
\(711\) 912.780 + 1074.61i 0.0481462 + 0.0566821i
\(712\) 36.9810 8.14013i 0.00194652 0.000428461i
\(713\) −5902.04 + 4486.61i −0.310004 + 0.235659i
\(714\) 8401.77 + 7958.58i 0.440376 + 0.417146i
\(715\) −6112.91 15342.2i −0.319734 0.802472i
\(716\) 16429.7 5535.80i 0.857550 0.288942i
\(717\) 2214.18 13505.9i 0.115328 0.703470i
\(718\) −11650.1 + 11035.6i −0.605541 + 0.573599i
\(719\) −34355.9 15894.7i −1.78200 0.824441i −0.970882 0.239559i \(-0.922997\pi\)
−0.811119 0.584882i \(-0.801141\pi\)
\(720\) −3873.79 2944.78i −0.200510 0.152424i
\(721\) −691.099 4215.52i −0.0356975 0.217745i
\(722\) −315.536 595.165i −0.0162646 0.0306783i
\(723\) 8925.10 + 1964.56i 0.459098 + 0.101055i
\(724\) 23247.6 10755.5i 1.19335 0.552105i
\(725\) 4828.10 12117.6i 0.247325 0.620740i
\(726\) 580.941 10714.8i 0.0296980 0.547747i
\(727\) −8919.57 + 13155.4i −0.455032 + 0.671122i −0.984132 0.177437i \(-0.943219\pi\)
0.529100 + 0.848560i \(0.322530\pi\)
\(728\) −25.9954 + 30.6041i −0.00132342 + 0.00155806i
\(729\) 341.470 644.080i 0.0173485 0.0327227i
\(730\) 18819.7 + 6341.10i 0.954176 + 0.321499i
\(731\) 1200.19 + 22136.3i 0.0607261 + 1.12003i
\(732\) 7643.30 + 4598.82i 0.385935 + 0.232209i
\(733\) −3541.33 + 12754.7i −0.178447 + 0.642709i 0.819159 + 0.573566i \(0.194440\pi\)
−0.997607 + 0.0691433i \(0.977973\pi\)
\(734\) −11961.7 43082.1i −0.601518 2.16647i
\(735\) 566.339 340.755i 0.0284214 0.0171006i
\(736\) −4905.59 7235.21i −0.245683 0.362355i
\(737\) 20284.4 + 2206.06i 1.01382 + 0.110260i
\(738\) −16576.4 1802.80i −0.826812 0.0899212i
\(739\) −1727.49 2547.86i −0.0859902 0.126826i 0.782261 0.622951i \(-0.214066\pi\)
−0.868251 + 0.496125i \(0.834756\pi\)
\(740\) 553.339 332.933i 0.0274880 0.0165390i
\(741\) −2716.25 9783.06i −0.134661 0.485006i
\(742\) −5738.30 + 20667.5i −0.283908 + 1.02254i
\(743\) 26260.7 + 15800.5i 1.29665 + 0.780168i 0.985416 0.170165i \(-0.0544300\pi\)
0.311234 + 0.950333i \(0.399258\pi\)
\(744\) 1.92305 + 35.4686i 9.47614e−5 + 0.00174777i
\(745\) 27761.0 + 9353.76i 1.36521 + 0.459994i
\(746\) 12910.6 24352.0i 0.633635 1.19516i
\(747\) 403.080 474.542i 0.0197429 0.0232431i
\(748\) −11485.5 + 16939.9i −0.561433 + 0.828052i
\(749\) −854.516 + 15760.6i −0.0416867 + 0.768866i
\(750\) 6707.92 16835.6i 0.326585 0.819666i
\(751\) 14536.2 6725.16i 0.706302 0.326770i −0.0336462 0.999434i \(-0.510712\pi\)
0.739948 + 0.672664i \(0.234850\pi\)
\(752\) 38599.9 + 8496.47i 1.87180 + 0.412014i
\(753\) 3408.49 + 6429.09i 0.164956 + 0.311141i
\(754\) 6544.58 + 39920.2i 0.316100 + 1.92813i
\(755\) 3815.05 + 2900.13i 0.183899 + 0.139797i
\(756\) 3496.08 + 1617.46i 0.168189 + 0.0778127i
\(757\) −7214.11 + 6833.57i −0.346369 + 0.328098i −0.841031 0.540987i \(-0.818051\pi\)
0.494662 + 0.869086i \(0.335292\pi\)
\(758\) −6456.61 + 39383.6i −0.309386 + 1.88717i
\(759\) −4576.99 + 1542.17i −0.218886 + 0.0737511i
\(760\) −13.9660 35.0520i −0.000666578 0.00167299i
\(761\) 12034.2 + 11399.4i 0.573245 + 0.543007i 0.918458 0.395518i \(-0.129435\pi\)
−0.345213 + 0.938524i \(0.612193\pi\)
\(762\) −17836.7 + 13559.1i −0.847975 + 0.644614i
\(763\) 830.620 182.833i 0.0394109 0.00867498i
\(764\) 8222.18 + 9679.90i 0.389356 + 0.458385i
\(765\) 4099.63 445.862i 0.193755 0.0210721i
\(766\) 45962.2 2.16799
\(767\) −2393.04 + 18597.6i −0.112657 + 0.875515i
\(768\) 12246.0 0.575379
\(769\) −12091.2 + 1315.00i −0.566996 + 0.0616645i −0.387128 0.922026i \(-0.626533\pi\)
−0.179868 + 0.983691i \(0.557567\pi\)
\(770\) −18410.0 21673.9i −0.861623 1.01438i
\(771\) −2505.63 + 551.530i −0.117040 + 0.0257625i
\(772\) 34034.2 25872.2i 1.58668 1.20617i
\(773\) −17221.3 16312.9i −0.801302 0.759033i 0.172845 0.984949i \(-0.444704\pi\)
−0.974147 + 0.225916i \(0.927463\pi\)
\(774\) 5457.93 + 13698.4i 0.253464 + 0.636147i
\(775\) 10989.5 3702.78i 0.509359 0.171623i
\(776\) 1.89839 11.5796i 8.78197e−5 0.000535677i
\(777\) 369.253 349.775i 0.0170487 0.0161494i
\(778\) −18356.7 8492.73i −0.845914 0.391361i
\(779\) 30147.8 + 22917.8i 1.38659 + 1.05406i
\(780\) 1361.81 + 8306.65i 0.0625135 + 0.381315i
\(781\) −11470.6 21635.8i −0.525543 0.991280i
\(782\) 7222.64 + 1589.82i 0.330283 + 0.0727008i
\(783\) 5986.99 2769.88i 0.273254 0.126421i
\(784\) −615.685 + 1545.25i −0.0280469 + 0.0703923i
\(785\) −957.085 + 17652.4i −0.0435157 + 0.802600i
\(786\) −12847.5 + 18948.7i −0.583024 + 0.859896i
\(787\) 19693.2 23184.6i 0.891979 1.05012i −0.106463 0.994317i \(-0.533953\pi\)
0.998442 0.0558017i \(-0.0177715\pi\)
\(788\) −1790.12 + 3376.53i −0.0809271 + 0.152645i
\(789\) 10289.6 + 3466.98i 0.464284 + 0.156435i
\(790\) 287.214 + 5297.35i 0.0129349 + 0.238571i
\(791\) 19879.1 + 11960.9i 0.893579 + 0.537649i
\(792\) −6.19075 + 22.2971i −0.000277751 + 0.00100037i
\(793\) 4107.11 + 14792.5i 0.183919 + 0.662417i
\(794\) 18816.4 11321.4i 0.841017 0.506023i
\(795\) 4289.26 + 6326.18i 0.191351 + 0.282222i
\(796\) 21403.2 + 2327.74i 0.953036 + 0.103649i
\(797\) −7646.38 831.594i −0.339835 0.0369593i −0.0633895 0.997989i \(-0.520191\pi\)
−0.276446 + 0.961030i \(0.589157\pi\)
\(798\) −9811.02 14470.2i −0.435221 0.641903i
\(799\) −28700.9 + 17268.7i −1.27079 + 0.764610i
\(800\) 3657.99 + 13174.9i 0.161662 + 0.582254i
\(801\) 1672.56 6024.02i 0.0737791 0.265728i
\(802\) 32461.1 + 19531.2i 1.42923 + 0.859939i
\(803\) 1497.57 + 27621.0i 0.0658132 + 1.21385i
\(804\) −9855.22 3320.61i −0.432297 0.145658i
\(805\) −2408.69 + 4543.28i −0.105460 + 0.198919i
\(806\) −23282.6 + 27410.3i −1.01749 + 1.19788i
\(807\) 11137.3 16426.3i 0.485813 0.716520i
\(808\) 0.816275 15.0553i 3.55402e−5 0.000655500i
\(809\) −3828.35 + 9608.43i −0.166375 + 0.417570i −0.988398 0.151884i \(-0.951466\pi\)
0.822023 + 0.569454i \(0.192845\pi\)
\(810\) 2489.45 1151.74i 0.107988 0.0499606i
\(811\) −5391.82 1186.83i −0.233456 0.0513874i 0.0967017 0.995313i \(-0.469171\pi\)
−0.330157 + 0.943926i \(0.607102\pi\)
\(812\) 16327.6 + 30797.1i 0.705647 + 1.33099i
\(813\) −2245.54 13697.2i −0.0968691 0.590875i
\(814\) 1430.94 + 1087.77i 0.0616146 + 0.0468382i
\(815\) −13904.7 6432.99i −0.597620 0.276488i
\(816\) −7534.58 + 7137.13i −0.323239 + 0.306188i
\(817\) 5418.04 33048.6i 0.232011 1.41521i
\(818\) −50996.8 + 17182.8i −2.17978 + 0.734454i
\(819\) 2453.90 + 6158.82i 0.104696 + 0.262768i
\(820\) −22793.5 21591.1i −0.970711 0.919506i
\(821\) −20581.4 + 15645.6i −0.874904 + 0.665085i −0.943072 0.332589i \(-0.892078\pi\)
0.0681679 + 0.997674i \(0.478285\pi\)
\(822\) −3927.72 + 864.556i −0.166660 + 0.0366847i
\(823\) 3364.65 + 3961.17i 0.142508 + 0.167774i 0.828786 0.559566i \(-0.189032\pi\)
−0.686277 + 0.727340i \(0.740756\pi\)
\(824\) −13.0027 + 1.41413i −0.000549721 + 5.97858e-5i
\(825\) 7554.74 0.318815
\(826\) 6320.15 + 31662.4i 0.266230 + 1.33375i
\(827\) 24594.8 1.03415 0.517077 0.855939i \(-0.327020\pi\)
0.517077 + 0.855939i \(0.327020\pi\)
\(828\) 2447.25 266.155i 0.102715 0.0111709i
\(829\) −1784.35 2100.70i −0.0747565 0.0880102i 0.723512 0.690311i \(-0.242526\pi\)
−0.798269 + 0.602301i \(0.794251\pi\)
\(830\) 2287.95 503.616i 0.0956818 0.0210612i
\(831\) −15050.8 + 11441.3i −0.628287 + 0.477611i
\(832\) −15432.0 14618.0i −0.643041 0.609121i
\(833\) −521.777 1309.56i −0.0217029 0.0544701i
\(834\) 16154.1 5442.96i 0.670709 0.225988i
\(835\) 3541.85 21604.3i 0.146791 0.895388i
\(836\) 22446.4 21262.3i 0.928617 0.879633i
\(837\) 5322.61 + 2462.50i 0.219804 + 0.101692i
\(838\) 38497.9 + 29265.3i 1.58698 + 1.20639i
\(839\) −4896.26 29865.9i −0.201475 1.22894i −0.872910 0.487881i \(-0.837770\pi\)
0.671435 0.741063i \(-0.265678\pi\)
\(840\) 11.5405 + 21.7677i 0.000474030 + 0.000894116i
\(841\) 34478.8 + 7589.36i 1.41370 + 0.311180i
\(842\) 37483.5 17341.7i 1.53417 0.709780i
\(843\) 6988.14 17538.9i 0.285509 0.716574i
\(844\) −1349.54 + 24890.8i −0.0550391 + 1.01514i
\(845\) 2303.52 3397.44i 0.0937794 0.138314i
\(846\) −14423.5 + 16980.7i −0.586160 + 0.690081i
\(847\) 7453.96 14059.7i 0.302386 0.570361i
\(848\) −18228.5 6141.89i −0.738171 0.248719i
\(849\) −531.335 9799.89i −0.0214786 0.396150i
\(850\) −9912.15 5963.94i −0.399981 0.240661i
\(851\) 86.9548 313.183i 0.00350267 0.0126155i
\(852\) 3339.12 + 12026.4i 0.134268 + 0.483589i
\(853\) 19234.4 11573.0i 0.772067 0.464537i −0.0742349 0.997241i \(-0.523651\pi\)
0.846302 + 0.532703i \(0.178824\pi\)
\(854\) 14834.8 + 21879.6i 0.594420 + 0.876704i
\(855\) −6193.19 673.550i −0.247722 0.0269414i
\(856\) 48.0434 + 5.22504i 0.00191833 + 0.000208631i
\(857\) −14666.6 21631.7i −0.584600 0.862221i 0.414250 0.910163i \(-0.364044\pi\)
−0.998850 + 0.0479423i \(0.984734\pi\)
\(858\) −20075.6 + 12079.1i −0.798798 + 0.480621i
\(859\) 899.670 + 3240.32i 0.0357350 + 0.128706i 0.979266 0.202578i \(-0.0649320\pi\)
−0.943531 + 0.331284i \(0.892518\pi\)
\(860\) −7427.91 + 26752.9i −0.294523 + 1.06077i
\(861\) −21188.1 12748.5i −0.838664 0.504607i
\(862\) −2391.39 44106.6i −0.0944908 1.74278i
\(863\) −37224.3 12542.3i −1.46829 0.494723i −0.532238 0.846595i \(-0.678649\pi\)
−0.936048 + 0.351871i \(0.885545\pi\)
\(864\) −3239.01 + 6109.42i −0.127539 + 0.240563i
\(865\) −17919.2 + 21096.2i −0.704362 + 0.829238i
\(866\) −3551.20 + 5237.63i −0.139347 + 0.205522i
\(867\) −321.785 + 5934.97i −0.0126048 + 0.232482i
\(868\) −11470.3 + 28788.4i −0.448535 + 1.12574i
\(869\) −6706.44 + 3102.73i −0.261795 + 0.121119i
\(870\) 24240.7 + 5335.78i 0.944639 + 0.207931i
\(871\) −8383.71 15813.3i −0.326144 0.615172i
\(872\) −0.421292 2.56977i −1.63610e−5 9.97975e-5i
\(873\) −1542.33 1172.45i −0.0597939 0.0454542i
\(874\) −10139.6 4691.10i −0.392424 0.181555i
\(875\) 19511.8 18482.6i 0.753851 0.714086i
\(876\) 2280.91 13912.9i 0.0879736 0.536615i
\(877\) −25245.5 + 8506.21i −0.972042 + 0.327519i −0.760131 0.649770i \(-0.774865\pi\)
−0.211911 + 0.977289i \(0.567969\pi\)
\(878\) 8709.51 + 21859.2i 0.334774 + 0.840220i
\(879\) 8662.71 + 8205.76i 0.332407 + 0.314873i
\(880\) 20302.1 15433.3i 0.777710 0.591200i
\(881\) −8312.57 + 1829.74i −0.317886 + 0.0699721i −0.371047 0.928614i \(-0.621001\pi\)
0.0531613 + 0.998586i \(0.483070\pi\)
\(882\) −607.025 714.645i −0.0231742 0.0272827i
\(883\) 22903.0 2490.85i 0.872872 0.0949306i 0.339293 0.940681i \(-0.389812\pi\)
0.533579 + 0.845750i \(0.320847\pi\)
\(884\) 17953.1 0.683062
\(885\) 10057.1 + 5587.67i 0.381995 + 0.212235i
\(886\) −2220.49 −0.0841974
\(887\) −31101.4 + 3382.48i −1.17732 + 0.128041i −0.675787 0.737097i \(-0.736196\pi\)
−0.501533 + 0.865139i \(0.667230\pi\)
\(888\) −1.00816 1.18690i −3.80988e−5 4.48533e-5i
\(889\) −32450.2 + 7142.83i −1.22423 + 0.269474i
\(890\) 18727.0 14235.9i 0.705317 0.536168i
\(891\) 2773.75 + 2627.44i 0.104292 + 0.0987907i
\(892\) 7239.50 + 18169.8i 0.271745 + 0.682028i
\(893\) 47951.8 16156.9i 1.79692 0.605452i
\(894\) 6723.43 41011.1i 0.251527 1.53425i
\(895\) 13291.5 12590.4i 0.496410 0.470225i
\(896\) −112.741 52.1593i −0.00420357 0.00194478i
\(897\) 3372.80 + 2563.93i 0.125546 + 0.0954372i
\(898\) −8088.83 49339.7i −0.300588 1.83350i
\(899\) 24857.9 + 46887.0i 0.922201 + 1.73945i
\(900\) −3760.51 827.751i −0.139278 0.0306574i
\(901\) 14794.8 6844.83i 0.547045 0.253090i
\(902\) 32345.6 81181.2i 1.19400 2.99672i
\(903\) −1183.90 + 21835.7i −0.0436297 + 0.804702i
\(904\) 39.8633 58.7940i 0.00146663 0.00216312i
\(905\) 17511.4 20616.0i 0.643202 0.757236i
\(906\) 3184.47 6006.54i 0.116774 0.220258i
\(907\) −38579.6 12999.0i −1.41236 0.475881i −0.493256 0.869884i \(-0.664193\pi\)
−0.919109 + 0.394003i \(0.871090\pi\)
\(908\) −694.828 12815.4i −0.0253950 0.468384i
\(909\) −2133.02 1283.40i −0.0778305 0.0468291i
\(910\) −6673.53 + 24035.9i −0.243105 + 0.875584i
\(911\) 12167.3 + 43822.5i 0.442502 + 1.59375i 0.762935 + 0.646476i \(0.223758\pi\)
−0.320433 + 0.947271i \(0.603828\pi\)
\(912\) 13433.9 8082.92i 0.487765 0.293478i
\(913\) 1831.22 + 2700.85i 0.0663797 + 0.0979028i
\(914\) −55689.8 6056.63i −2.01538 0.219185i
\(915\) 9364.42 + 1018.44i 0.338337 + 0.0367963i
\(916\) 1464.61 + 2160.14i 0.0528298 + 0.0779181i
\(917\) −29091.1 + 17503.5i −1.04763 + 0.630336i
\(918\) −1565.10 5637.00i −0.0562703 0.202667i
\(919\) 7258.99 26144.5i 0.260557 0.938441i −0.711304 0.702885i \(-0.751895\pi\)
0.971861 0.235557i \(-0.0756913\pi\)
\(920\) 13.4909 + 8.11723i 0.000483460 + 0.000290888i
\(921\) −1123.47 20721.1i −0.0401949 0.741352i
\(922\) 26285.4 + 8856.60i 0.938899 + 0.316352i
\(923\) −10061.9 + 18978.8i −0.358821 + 0.676809i
\(924\) −13069.8 + 15386.9i −0.465329 + 0.547828i
\(925\) −285.312 + 420.804i −0.0101416 + 0.0149578i
\(926\) 3330.28 61423.4i 0.118186 2.17980i
\(927\) −799.301 + 2006.10i −0.0283199 + 0.0710775i
\(928\) −56789.6 + 26273.7i −2.00885 + 0.929391i
\(929\) −17788.7 3915.58i −0.628232 0.138284i −0.110568 0.993869i \(-0.535267\pi\)
−0.517664 + 0.855584i \(0.673198\pi\)
\(930\) 10336.2 + 19496.1i 0.364447 + 0.687421i
\(931\) 344.525 + 2101.51i 0.0121282 + 0.0739787i
\(932\) 5054.86 + 3842.60i 0.177658 + 0.135052i
\(933\) −11034.3 5105.03i −0.387190 0.179133i
\(934\) 3065.19 2903.50i 0.107383 0.101719i
\(935\) −3496.51 + 21327.8i −0.122297 + 0.745981i
\(936\) 19.2362 6.48142i 0.000671746 0.000226338i
\(937\) −13769.5 34558.9i −0.480075 1.20490i −0.947182 0.320697i \(-0.896083\pi\)
0.467107 0.884201i \(-0.345296\pi\)
\(938\) −22374.4 21194.2i −0.778838 0.737754i
\(939\) −1576.37 + 1198.32i −0.0547847 + 0.0416462i
\(940\) −40970.1 + 9018.19i −1.42159 + 0.312916i
\(941\) 21103.2 + 24844.7i 0.731080 + 0.860694i 0.994581 0.103965i \(-0.0331531\pi\)
−0.263501 + 0.964659i \(0.584877\pi\)
\(942\) 24932.4 2711.56i 0.862357 0.0937869i
\(943\) −15802.2 −0.545695
\(944\) −28659.6 + 4122.26i −0.988125 + 0.142127i
\(945\) 4067.81 0.140027
\(946\) −76827.6 + 8355.51i −2.64047 + 0.287168i
\(947\) 17582.7 + 20700.0i 0.603338 + 0.710304i 0.976026 0.217652i \(-0.0698399\pi\)
−0.372689 + 0.927957i \(0.621564\pi\)
\(948\) 3678.21 809.635i 0.126015 0.0277381i
\(949\) 19316.9 14684.3i 0.660750 0.502289i
\(950\) 12687.1 + 12017.9i 0.433289 + 0.410433i
\(951\) −2342.63 5879.55i −0.0798790 0.200481i
\(952\) 49.7969 16.7785i 0.00169530 0.000571214i
\(953\) −3862.83 + 23562.2i −0.131301 + 0.800898i 0.836274 + 0.548312i \(0.184729\pi\)
−0.967574 + 0.252586i \(0.918719\pi\)
\(954\) 7871.98 7456.73i 0.267154 0.253062i
\(955\) 12172.2 + 5631.44i 0.412442 + 0.190816i
\(956\) −29104.2 22124.4i −0.984619 0.748488i
\(957\) 5593.23 + 34117.2i 0.188927 + 1.15241i
\(958\) 6409.97 + 12090.5i 0.216176 + 0.407751i
\(959\) −5824.79 1282.13i −0.196134 0.0431723i
\(960\) −11837.0 + 5476.36i −0.397954 + 0.184113i
\(961\) −6436.24 + 16153.8i −0.216047 + 0.542236i
\(962\) 85.3615 1574.40i 0.00286088 0.0527658i
\(963\) 4477.70 6604.12i 0.149836 0.220991i
\(964\) 15803.7 18605.5i 0.528011 0.621623i
\(965\) 21146.5 39886.6i 0.705420 1.33056i
\(966\) 6913.24 + 2329.34i 0.230259 + 0.0775832i
\(967\) −2117.62 39057.3i −0.0704221 1.29886i −0.793703 0.608305i \(-0.791850\pi\)
0.723281 0.690554i \(-0.242633\pi\)
\(968\) −41.7491 25.1196i −0.00138623 0.000834065i
\(969\) −3554.60 + 12802.5i −0.117843 + 0.424433i
\(970\) −1950.19 7023.96i −0.0645535 0.232501i
\(971\) 11603.5 6981.62i 0.383497 0.230742i −0.310731 0.950498i \(-0.600574\pi\)
0.694227 + 0.719756i \(0.255746\pi\)
\(972\) −1092.81 1611.77i −0.0360615 0.0531867i
\(973\) 25131.6 + 2733.23i 0.828040 + 0.0900547i
\(974\) −44903.5 4883.55i −1.47721 0.160656i
\(975\) −3718.97 5485.07i −0.122156 0.180167i
\(976\) −20312.8 + 12221.8i −0.666185 + 0.400830i
\(977\) 6428.81 + 23154.5i 0.210518 + 0.758217i 0.991095 + 0.133157i \(0.0425116\pi\)
−0.780577 + 0.625060i \(0.785075\pi\)
\(978\) −5814.65 + 20942.5i −0.190115 + 0.684731i
\(979\) 28075.5 + 16892.5i 0.916544 + 0.551466i
\(980\) −95.5839 1762.94i −0.00311563 0.0574644i
\(981\) −407.439 137.282i −0.0132605 0.00446798i
\(982\) −9753.95 + 18397.9i −0.316966 + 0.597862i
\(983\) −868.175 + 1022.09i −0.0281694 + 0.0331635i −0.776066 0.630651i \(-0.782788\pi\)
0.747897 + 0.663815i \(0.231064\pi\)
\(984\) −42.4882 + 62.6655i −0.00137650 + 0.00203018i
\(985\) −218.489 + 4029.80i −0.00706766 + 0.130355i
\(986\) 19594.6 49178.7i 0.632879 1.58841i
\(987\) −29986.9 + 13873.4i −0.967064 + 0.447411i
\(988\) −26487.1 5830.24i −0.852900 0.187738i
\(989\) 6545.79 + 12346.7i 0.210459 + 0.396968i
\(990\) 2325.72 + 14186.2i 0.0746628 + 0.455423i
\(991\) 30060.0 + 22851.0i 0.963559 + 0.732478i 0.963552 0.267522i \(-0.0862047\pi\)
6.82589e−6 1.00000i \(0.499998\pi\)
\(992\) −50487.5 23358.0i −1.61591 0.747599i
\(993\) −5897.02 + 5585.95i −0.188455 + 0.178514i
\(994\) −5984.01 + 36500.9i −0.190947 + 1.16473i
\(995\) 21544.8 7259.30i 0.686450 0.231292i
\(996\) −615.601 1545.04i −0.0195844 0.0491531i
\(997\) 42470.1 + 40229.8i 1.34909 + 1.27792i 0.928824 + 0.370521i \(0.120821\pi\)
0.420263 + 0.907402i \(0.361938\pi\)
\(998\) 9903.95 7528.79i 0.314132 0.238797i
\(999\) −251.103 + 55.2721i −0.00795252 + 0.00175048i
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 177.4.e.b.133.3 yes 420
59.4 even 29 inner 177.4.e.b.4.3 420
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
177.4.e.b.4.3 420 59.4 even 29 inner
177.4.e.b.133.3 yes 420 1.1 even 1 trivial