Properties

Label 124.3.n.a.7.19
Level $124$
Weight $3$
Character 124.7
Analytic conductor $3.379$
Analytic rank $0$
Dimension $240$
CM no
Inner twists $4$

Related objects

Downloads

Learn more

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [124,3,Mod(7,124)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(124, base_ring=CyclotomicField(30))
 
chi = DirichletCharacter(H, H._module([15, 28]))
 
N = Newforms(chi, 3, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("124.7");
 
S:= CuspForms(chi, 3);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 124 = 2^{2} \cdot 31 \)
Weight: \( k \) \(=\) \( 3 \)
Character orbit: \([\chi]\) \(=\) 124.n (of order \(30\), degree \(8\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(3.37875527807\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(30\) over \(\Q(\zeta_{30})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label 7.19
Character \(\chi\) \(=\) 124.7
Dual form 124.3.n.a.71.19

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.640254 + 1.89475i) q^{2} +(0.631742 + 2.97211i) q^{3} +(-3.18015 + 2.42624i) q^{4} +(1.43502 - 2.48553i) q^{5} +(-5.22693 + 3.09990i) q^{6} +(-3.93413 + 8.83620i) q^{7} +(-6.63323 - 4.47217i) q^{8} +(-0.212439 + 0.0945840i) q^{9} +O(q^{10})\) \(q+(0.640254 + 1.89475i) q^{2} +(0.631742 + 2.97211i) q^{3} +(-3.18015 + 2.42624i) q^{4} +(1.43502 - 2.48553i) q^{5} +(-5.22693 + 3.09990i) q^{6} +(-3.93413 + 8.83620i) q^{7} +(-6.63323 - 4.47217i) q^{8} +(-0.212439 + 0.0945840i) q^{9} +(5.62823 + 1.12763i) q^{10} +(-1.92885 + 0.202730i) q^{11} +(-9.22010 - 7.91900i) q^{12} +(5.52553 + 6.13673i) q^{13} +(-19.2612 - 1.79677i) q^{14} +(8.29382 + 2.69483i) q^{15} +(4.22669 - 15.4316i) q^{16} +(1.19586 - 11.3779i) q^{17} +(-0.315228 - 0.341961i) q^{18} +(2.13513 + 1.92248i) q^{19} +(1.46692 + 11.3860i) q^{20} +(-28.7475 - 6.11047i) q^{21} +(-1.61908 - 3.52489i) q^{22} +(4.46861 - 6.15052i) q^{23} +(9.10130 - 22.5399i) q^{24} +(8.38144 + 14.5171i) q^{25} +(-8.08981 + 14.3986i) q^{26} +(15.6586 + 21.5522i) q^{27} +(-8.92765 - 37.6456i) q^{28} +(6.56240 + 20.1970i) q^{29} +(0.204137 + 17.4401i) q^{30} +(30.5177 - 5.44709i) q^{31} +(31.9452 - 1.87166i) q^{32} +(-1.82107 - 5.60469i) q^{33} +(22.3239 - 5.01888i) q^{34} +(16.3171 + 22.4585i) q^{35} +(0.446104 - 0.816221i) q^{36} +(9.89774 + 17.1434i) q^{37} +(-2.27559 + 5.27640i) q^{38} +(-14.7483 + 20.2993i) q^{39} +(-20.6345 + 10.0694i) q^{40} +(-30.3171 - 6.44411i) q^{41} +(-6.82791 - 58.3816i) q^{42} +(-41.3316 - 37.2152i) q^{43} +(5.64216 - 5.32457i) q^{44} +(-0.0697633 + 0.663753i) q^{45} +(14.5147 + 4.52901i) q^{46} +(54.1269 + 17.5869i) q^{47} +(48.5347 + 2.81338i) q^{48} +(-29.8136 - 33.1114i) q^{49} +(-22.1400 + 25.1753i) q^{50} +(34.5718 - 3.63365i) q^{51} +(-32.4612 - 6.10941i) q^{52} +(83.0012 - 36.9545i) q^{53} +(-30.8106 + 43.4680i) q^{54} +(-2.26405 + 5.08513i) q^{55} +(65.6130 - 41.0184i) q^{56} +(-4.36496 + 7.56034i) q^{57} +(-34.0666 + 25.3653i) q^{58} +(-17.5298 - 82.4714i) q^{59} +(-32.9139 + 11.5529i) q^{60} +18.5876 q^{61} +(29.8600 + 54.3358i) q^{62} -2.24926i q^{63} +(23.9994 + 59.3298i) q^{64} +(23.1822 - 4.92754i) q^{65} +(9.45353 - 7.03890i) q^{66} +(-85.4391 - 49.3283i) q^{67} +(23.8025 + 39.0848i) q^{68} +(21.1030 + 9.39568i) q^{69} +(-32.1061 + 45.2959i) q^{70} +(-0.0650149 - 0.146026i) q^{71} +(1.83215 + 0.322667i) q^{72} +(-1.57415 - 14.9770i) q^{73} +(-26.1453 + 29.7299i) q^{74} +(-37.8515 + 34.0816i) q^{75} +(-11.4544 - 0.933424i) q^{76} +(5.79698 - 17.8413i) q^{77} +(-47.9048 - 14.9476i) q^{78} +(-149.725 - 15.7367i) q^{79} +(-32.2903 - 32.6502i) q^{80} +(-55.5638 + 61.7099i) q^{81} +(-7.20072 - 61.5692i) q^{82} +(25.2083 - 118.595i) q^{83} +(106.247 - 50.3163i) q^{84} +(-26.5640 - 19.2998i) q^{85} +(44.0506 - 102.140i) q^{86} +(-55.8819 + 32.2635i) q^{87} +(13.7012 + 7.28139i) q^{88} +(-129.124 + 93.8142i) q^{89} +(-1.30231 + 0.292787i) q^{90} +(-75.9635 + 24.6820i) q^{91} +(0.711801 + 30.4015i) q^{92} +(35.4687 + 87.2608i) q^{93} +(1.33224 + 113.817i) q^{94} +(7.84231 - 2.54812i) q^{95} +(25.7439 + 93.7623i) q^{96} +(84.0458 - 61.0628i) q^{97} +(43.6495 - 77.6891i) q^{98} +(0.390589 - 0.225506i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240 q - 6 q^{2} - 10 q^{4} - 8 q^{5} - 5 q^{6} - 27 q^{8} - 96 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 240 q - 6 q^{2} - 10 q^{4} - 8 q^{5} - 5 q^{6} - 27 q^{8} - 96 q^{9} - 4 q^{10} + 27 q^{12} - 26 q^{13} + 10 q^{14} + 46 q^{16} - 18 q^{17} - 11 q^{18} + 143 q^{20} + 90 q^{21} + 77 q^{22} - 54 q^{24} - 464 q^{25} - 27 q^{26} - 52 q^{28} - 12 q^{29} + 206 q^{30} + 154 q^{32} + 72 q^{33} - 168 q^{34} + 23 q^{36} - 48 q^{37} - 78 q^{38} + 85 q^{40} - 18 q^{41} - 91 q^{42} - 493 q^{44} - 30 q^{45} + 198 q^{46} - 314 q^{48} + 48 q^{49} - 563 q^{50} - 551 q^{52} + 46 q^{53} - 600 q^{54} - 90 q^{56} - 44 q^{57} - 125 q^{58} - 77 q^{60} + 208 q^{61} - 17 q^{62} - 529 q^{64} + 132 q^{65} + 788 q^{66} + 364 q^{68} + 36 q^{69} + 586 q^{70} + 1113 q^{72} + 214 q^{73} + 351 q^{74} + 824 q^{76} + 456 q^{77} + 123 q^{78} + 410 q^{80} + 90 q^{81} - 718 q^{82} - 412 q^{84} + 394 q^{85} + 680 q^{86} - 141 q^{88} + 12 q^{89} + 193 q^{90} - 520 q^{92} + 82 q^{93} - 876 q^{94} + 888 q^{96} - 548 q^{97} + 32 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/124\mathbb{Z}\right)^\times\).

\(n\) \(63\) \(65\)
\(\chi(n)\) \(-1\) \(e\left(\frac{14}{15}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.640254 + 1.89475i 0.320127 + 0.947375i
\(3\) 0.631742 + 2.97211i 0.210581 + 0.990704i 0.948735 + 0.316072i \(0.102364\pi\)
−0.738155 + 0.674632i \(0.764302\pi\)
\(4\) −3.18015 + 2.42624i −0.795037 + 0.606561i
\(5\) 1.43502 2.48553i 0.287004 0.497105i −0.686089 0.727517i \(-0.740674\pi\)
0.973093 + 0.230412i \(0.0740074\pi\)
\(6\) −5.22693 + 3.09990i −0.871155 + 0.516650i
\(7\) −3.93413 + 8.83620i −0.562018 + 1.26231i 0.379450 + 0.925212i \(0.376113\pi\)
−0.941468 + 0.337102i \(0.890553\pi\)
\(8\) −6.63323 4.47217i −0.829153 0.559021i
\(9\) −0.212439 + 0.0945840i −0.0236044 + 0.0105093i
\(10\) 5.62823 + 1.12763i 0.562823 + 0.112763i
\(11\) −1.92885 + 0.202730i −0.175350 + 0.0184300i −0.191797 0.981435i \(-0.561431\pi\)
0.0164464 + 0.999865i \(0.494765\pi\)
\(12\) −9.22010 7.91900i −0.768341 0.659916i
\(13\) 5.52553 + 6.13673i 0.425041 + 0.472056i 0.917187 0.398457i \(-0.130454\pi\)
−0.492146 + 0.870513i \(0.663787\pi\)
\(14\) −19.2612 1.79677i −1.37580 0.128341i
\(15\) 8.29382 + 2.69483i 0.552922 + 0.179655i
\(16\) 4.22669 15.4316i 0.264168 0.964477i
\(17\) 1.19586 11.3779i 0.0703450 0.669288i −0.901357 0.433077i \(-0.857428\pi\)
0.971702 0.236211i \(-0.0759055\pi\)
\(18\) −0.315228 0.341961i −0.0175127 0.0189978i
\(19\) 2.13513 + 1.92248i 0.112375 + 0.101183i 0.723403 0.690426i \(-0.242577\pi\)
−0.611028 + 0.791609i \(0.709244\pi\)
\(20\) 1.46692 + 11.3860i 0.0733459 + 0.569302i
\(21\) −28.7475 6.11047i −1.36893 0.290975i
\(22\) −1.61908 3.52489i −0.0735945 0.160222i
\(23\) 4.46861 6.15052i 0.194288 0.267414i −0.700748 0.713409i \(-0.747150\pi\)
0.895035 + 0.445995i \(0.147150\pi\)
\(24\) 9.10130 22.5399i 0.379221 0.939164i
\(25\) 8.38144 + 14.5171i 0.335258 + 0.580683i
\(26\) −8.08981 + 14.3986i −0.311146 + 0.553791i
\(27\) 15.6586 + 21.5522i 0.579948 + 0.798230i
\(28\) −8.92765 37.6456i −0.318845 1.34448i
\(29\) 6.56240 + 20.1970i 0.226290 + 0.696448i 0.998158 + 0.0606655i \(0.0193223\pi\)
−0.771869 + 0.635782i \(0.780678\pi\)
\(30\) 0.204137 + 17.4401i 0.00680458 + 0.581336i
\(31\) 30.5177 5.44709i 0.984441 0.175713i
\(32\) 31.9452 1.87166i 0.998288 0.0584892i
\(33\) −1.82107 5.60469i −0.0551840 0.169839i
\(34\) 22.3239 5.01888i 0.656585 0.147614i
\(35\) 16.3171 + 22.4585i 0.466202 + 0.641671i
\(36\) 0.446104 0.816221i 0.0123918 0.0226728i
\(37\) 9.89774 + 17.1434i 0.267506 + 0.463335i 0.968217 0.250111i \(-0.0804670\pi\)
−0.700711 + 0.713445i \(0.747134\pi\)
\(38\) −2.27559 + 5.27640i −0.0598838 + 0.138853i
\(39\) −14.7483 + 20.2993i −0.378162 + 0.520495i
\(40\) −20.6345 + 10.0694i −0.515863 + 0.251735i
\(41\) −30.3171 6.44411i −0.739443 0.157173i −0.177234 0.984169i \(-0.556715\pi\)
−0.562209 + 0.826995i \(0.690048\pi\)
\(42\) −6.82791 58.3816i −0.162569 1.39004i
\(43\) −41.3316 37.2152i −0.961201 0.865469i 0.0297686 0.999557i \(-0.490523\pi\)
−0.990969 + 0.134088i \(0.957190\pi\)
\(44\) 5.64216 5.32457i 0.128231 0.121013i
\(45\) −0.0697633 + 0.663753i −0.00155030 + 0.0147501i
\(46\) 14.5147 + 4.52901i 0.315538 + 0.0984566i
\(47\) 54.1269 + 17.5869i 1.15164 + 0.374190i 0.821760 0.569834i \(-0.192993\pi\)
0.329877 + 0.944024i \(0.392993\pi\)
\(48\) 48.5347 + 2.81338i 1.01114 + 0.0586122i
\(49\) −29.8136 33.1114i −0.608441 0.675743i
\(50\) −22.1400 + 25.1753i −0.442799 + 0.503507i
\(51\) 34.5718 3.63365i 0.677879 0.0712480i
\(52\) −32.4612 6.10941i −0.624254 0.117489i
\(53\) 83.0012 36.9545i 1.56606 0.697255i 0.573522 0.819190i \(-0.305577\pi\)
0.992538 + 0.121936i \(0.0389101\pi\)
\(54\) −30.8106 + 43.4680i −0.570566 + 0.804963i
\(55\) −2.26405 + 5.08513i −0.0411645 + 0.0924570i
\(56\) 65.6130 41.0184i 1.17166 0.732472i
\(57\) −4.36496 + 7.56034i −0.0765783 + 0.132638i
\(58\) −34.0666 + 25.3653i −0.587355 + 0.437333i
\(59\) −17.5298 82.4714i −0.297116 1.39782i −0.832881 0.553453i \(-0.813310\pi\)
0.535765 0.844367i \(-0.320023\pi\)
\(60\) −32.9139 + 11.5529i −0.548565 + 0.192548i
\(61\) 18.5876 0.304714 0.152357 0.988325i \(-0.451314\pi\)
0.152357 + 0.988325i \(0.451314\pi\)
\(62\) 29.8600 + 54.3358i 0.481612 + 0.876384i
\(63\) 2.24926i 0.0357026i
\(64\) 23.9994 + 59.3298i 0.374990 + 0.927029i
\(65\) 23.1822 4.92754i 0.356650 0.0758083i
\(66\) 9.45353 7.03890i 0.143235 0.106650i
\(67\) −85.4391 49.3283i −1.27521 0.736243i −0.299246 0.954176i \(-0.596735\pi\)
−0.975964 + 0.217933i \(0.930069\pi\)
\(68\) 23.8025 + 39.0848i 0.350037 + 0.574777i
\(69\) 21.1030 + 9.39568i 0.305841 + 0.136169i
\(70\) −32.1061 + 45.2959i −0.458659 + 0.647084i
\(71\) −0.0650149 0.146026i −0.000915703 0.00205670i 0.913087 0.407765i \(-0.133692\pi\)
−0.914003 + 0.405708i \(0.867025\pi\)
\(72\) 1.83215 + 0.322667i 0.0254466 + 0.00448149i
\(73\) −1.57415 14.9770i −0.0215637 0.205165i 0.978435 0.206553i \(-0.0662247\pi\)
−0.999999 + 0.00138841i \(0.999558\pi\)
\(74\) −26.1453 + 29.7299i −0.353316 + 0.401755i
\(75\) −37.8515 + 34.0816i −0.504686 + 0.454422i
\(76\) −11.4544 0.933424i −0.150716 0.0122819i
\(77\) 5.79698 17.8413i 0.0752855 0.231705i
\(78\) −47.9048 14.9476i −0.614164 0.191636i
\(79\) −149.725 15.7367i −1.89525 0.199199i −0.915906 0.401393i \(-0.868526\pi\)
−0.979345 + 0.202194i \(0.935193\pi\)
\(80\) −32.2903 32.6502i −0.403629 0.408128i
\(81\) −55.5638 + 61.7099i −0.685973 + 0.761850i
\(82\) −7.20072 61.5692i −0.0878136 0.750845i
\(83\) 25.2083 118.595i 0.303714 1.42886i −0.516246 0.856440i \(-0.672671\pi\)
0.819960 0.572421i \(-0.193996\pi\)
\(84\) 106.247 50.3163i 1.26484 0.599003i
\(85\) −26.5640 19.2998i −0.312517 0.227057i
\(86\) 44.0506 102.140i 0.512217 1.18768i
\(87\) −55.8819 + 32.2635i −0.642321 + 0.370844i
\(88\) 13.7012 + 7.28139i 0.155695 + 0.0827431i
\(89\) −129.124 + 93.8142i −1.45083 + 1.05409i −0.465197 + 0.885207i \(0.654016\pi\)
−0.985636 + 0.168885i \(0.945984\pi\)
\(90\) −1.30231 + 0.292787i −0.0144701 + 0.00325319i
\(91\) −75.9635 + 24.6820i −0.834764 + 0.271231i
\(92\) 0.711801 + 30.4015i 0.00773696 + 0.330451i
\(93\) 35.4687 + 87.2608i 0.381383 + 0.938288i
\(94\) 1.33224 + 113.817i 0.0141727 + 1.21082i
\(95\) 7.84231 2.54812i 0.0825506 0.0268223i
\(96\) 25.7439 + 93.7623i 0.268166 + 0.976691i
\(97\) 84.0458 61.0628i 0.866451 0.629514i −0.0631812 0.998002i \(-0.520125\pi\)
0.929632 + 0.368488i \(0.120125\pi\)
\(98\) 43.6495 77.6891i 0.445403 0.792746i
\(99\) 0.390589 0.225506i 0.00394534 0.00227784i
\(100\) −61.8762 25.8311i −0.618762 0.258311i
\(101\) −49.2085 35.7521i −0.487213 0.353981i 0.316898 0.948459i \(-0.397359\pi\)
−0.804112 + 0.594478i \(0.797359\pi\)
\(102\) 29.0196 + 63.1785i 0.284506 + 0.619397i
\(103\) −19.3965 + 91.2532i −0.188315 + 0.885954i 0.777934 + 0.628346i \(0.216268\pi\)
−0.966250 + 0.257608i \(0.917066\pi\)
\(104\) −9.20763 65.4174i −0.0885349 0.629014i
\(105\) −56.4410 + 62.6841i −0.537533 + 0.596991i
\(106\) 123.161 + 133.606i 1.16190 + 1.26043i
\(107\) 165.926 + 17.4395i 1.55071 + 0.162986i 0.840816 0.541321i \(-0.182076\pi\)
0.709895 + 0.704307i \(0.248742\pi\)
\(108\) −102.088 30.5477i −0.945256 0.282849i
\(109\) 42.6222 131.178i 0.391030 1.20347i −0.540981 0.841035i \(-0.681947\pi\)
0.932011 0.362431i \(-0.118053\pi\)
\(110\) −11.0846 1.03402i −0.100769 0.00940020i
\(111\) −44.6992 + 40.2474i −0.402696 + 0.362589i
\(112\) 119.729 + 98.0579i 1.06901 + 0.875517i
\(113\) −5.30960 50.5174i −0.0469876 0.447057i −0.992570 0.121674i \(-0.961174\pi\)
0.945583 0.325382i \(-0.105493\pi\)
\(114\) −17.1196 3.42997i −0.150172 0.0300875i
\(115\) −8.87473 19.9330i −0.0771716 0.173330i
\(116\) −69.8722 48.3074i −0.602346 0.416443i
\(117\) −1.75428 0.781054i −0.0149938 0.00667568i
\(118\) 145.039 86.0173i 1.22914 0.728960i
\(119\) 95.8326 + 55.3290i 0.805316 + 0.464949i
\(120\) −42.9631 54.9668i −0.358026 0.458057i
\(121\) −114.676 + 24.3752i −0.947740 + 0.201448i
\(122\) 11.9008 + 35.2188i 0.0975474 + 0.288679i
\(123\) 94.1769i 0.765666i
\(124\) −83.8348 + 91.3659i −0.676087 + 0.736822i
\(125\) 119.861 0.958889
\(126\) 4.26179 1.44010i 0.0338237 0.0114294i
\(127\) −18.6510 87.7461i −0.146858 0.690914i −0.988542 0.150944i \(-0.951769\pi\)
0.841684 0.539971i \(-0.181565\pi\)
\(128\) −97.0494 + 83.4590i −0.758199 + 0.652023i
\(129\) 84.4967 146.353i 0.655013 1.13452i
\(130\) 24.1790 + 40.7696i 0.185992 + 0.313613i
\(131\) −11.3510 + 25.4948i −0.0866489 + 0.194617i −0.951673 0.307114i \(-0.900637\pi\)
0.865024 + 0.501731i \(0.167303\pi\)
\(132\) 19.3896 + 13.4054i 0.146891 + 0.101556i
\(133\) −25.3872 + 11.3031i −0.190881 + 0.0849859i
\(134\) 38.7620 193.468i 0.289268 1.44379i
\(135\) 76.0390 7.99202i 0.563252 0.0592002i
\(136\) −58.8163 + 70.1240i −0.432473 + 0.515618i
\(137\) 102.067 + 113.357i 0.745017 + 0.827426i 0.989846 0.142141i \(-0.0453985\pi\)
−0.244829 + 0.969566i \(0.578732\pi\)
\(138\) −4.29114 + 46.0006i −0.0310952 + 0.333338i
\(139\) −50.6469 16.4562i −0.364367 0.118390i 0.121111 0.992639i \(-0.461354\pi\)
−0.485478 + 0.874249i \(0.661354\pi\)
\(140\) −106.380 31.8322i −0.759860 0.227373i
\(141\) −18.0760 + 171.982i −0.128199 + 1.21973i
\(142\) 0.235056 0.216681i 0.00165533 0.00152592i
\(143\) −11.9020 10.7166i −0.0832310 0.0749415i
\(144\) 0.561671 + 3.67806i 0.00390050 + 0.0255421i
\(145\) 59.6173 + 12.6720i 0.411154 + 0.0873934i
\(146\) 27.3699 12.5717i 0.187465 0.0861078i
\(147\) 79.5762 109.527i 0.541335 0.745084i
\(148\) −73.0703 30.5042i −0.493718 0.206109i
\(149\) −66.4399 115.077i −0.445905 0.772330i 0.552210 0.833705i \(-0.313785\pi\)
−0.998115 + 0.0613750i \(0.980451\pi\)
\(150\) −88.8107 49.8981i −0.592071 0.332654i
\(151\) 155.280 + 213.725i 1.02835 + 1.41540i 0.906183 + 0.422887i \(0.138983\pi\)
0.122163 + 0.992510i \(0.461017\pi\)
\(152\) −5.56513 22.3009i −0.0366127 0.146716i
\(153\) 0.822118 + 2.53022i 0.00537332 + 0.0165374i
\(154\) 37.5163 0.439130i 0.243612 0.00285150i
\(155\) 30.2546 83.6692i 0.195191 0.539801i
\(156\) −2.34924 100.338i −0.0150593 0.643192i
\(157\) 29.0237 + 89.3257i 0.184864 + 0.568954i 0.999946 0.0103924i \(-0.00330805\pi\)
−0.815082 + 0.579346i \(0.803308\pi\)
\(158\) −66.0449 293.767i −0.418006 1.85928i
\(159\) 162.268 + 223.343i 1.02055 + 1.40467i
\(160\) 41.1900 82.0865i 0.257437 0.513041i
\(161\) 36.7671 + 63.6825i 0.228367 + 0.395544i
\(162\) −152.500 65.7695i −0.941356 0.405984i
\(163\) 141.773 195.134i 0.869774 1.19714i −0.109375 0.994001i \(-0.534885\pi\)
0.979149 0.203141i \(-0.0651150\pi\)
\(164\) 112.048 53.0635i 0.683219 0.323558i
\(165\) −16.5439 3.51651i −0.100266 0.0213122i
\(166\) 240.848 28.1680i 1.45089 0.169687i
\(167\) 80.6021 + 72.5745i 0.482647 + 0.434578i 0.874191 0.485582i \(-0.161392\pi\)
−0.391544 + 0.920159i \(0.628059\pi\)
\(168\) 163.362 + 169.096i 0.972391 + 1.00652i
\(169\) 10.5374 100.257i 0.0623516 0.593236i
\(170\) 19.5607 62.6888i 0.115063 0.368758i
\(171\) −0.635420 0.206460i −0.00371591 0.00120737i
\(172\) 221.734 + 18.0692i 1.28915 + 0.105053i
\(173\) −166.187 184.569i −0.960618 1.06687i −0.997715 0.0675625i \(-0.978478\pi\)
0.0370973 0.999312i \(-0.488189\pi\)
\(174\) −96.9098 85.2254i −0.556953 0.489801i
\(175\) −161.249 + 16.9480i −0.921425 + 0.0968457i
\(176\) −5.02419 + 30.6222i −0.0285465 + 0.173990i
\(177\) 234.040 104.201i 1.32226 0.588707i
\(178\) −260.427 184.593i −1.46307 1.03704i
\(179\) −38.8966 + 87.3633i −0.217300 + 0.488063i −0.988999 0.147925i \(-0.952741\pi\)
0.771699 + 0.635988i \(0.219407\pi\)
\(180\) −1.38857 2.28010i −0.00771427 0.0126672i
\(181\) −40.2967 + 69.7960i −0.222634 + 0.385613i −0.955607 0.294644i \(-0.904799\pi\)
0.732973 + 0.680258i \(0.238132\pi\)
\(182\) −95.4022 128.129i −0.524188 0.704005i
\(183\) 11.7426 + 55.2444i 0.0641669 + 0.301882i
\(184\) −57.1475 + 20.8134i −0.310584 + 0.113116i
\(185\) 56.8138 0.307102
\(186\) −142.628 + 123.073i −0.766819 + 0.661685i
\(187\) 22.1887i 0.118656i
\(188\) −214.802 + 75.3961i −1.14256 + 0.401043i
\(189\) −252.043 + 53.5733i −1.33356 + 0.283457i
\(190\) 9.84913 + 13.2278i 0.0518375 + 0.0696198i
\(191\) 206.405 + 119.168i 1.08065 + 0.623916i 0.931073 0.364834i \(-0.118874\pi\)
0.149581 + 0.988749i \(0.452208\pi\)
\(192\) −161.173 + 108.810i −0.839445 + 0.566719i
\(193\) −74.7563 33.2836i −0.387338 0.172454i 0.203823 0.979008i \(-0.434663\pi\)
−0.591161 + 0.806554i \(0.701330\pi\)
\(194\) 169.509 + 120.150i 0.873760 + 0.619329i
\(195\) 29.2904 + 65.7873i 0.150207 + 0.337371i
\(196\) 175.148 + 32.9640i 0.893613 + 0.168184i
\(197\) 17.3249 + 164.835i 0.0879436 + 0.836728i 0.946217 + 0.323534i \(0.104871\pi\)
−0.858273 + 0.513194i \(0.828462\pi\)
\(198\) 0.677354 + 0.595686i 0.00342098 + 0.00300851i
\(199\) −93.3008 + 84.0084i −0.468848 + 0.422153i −0.869391 0.494125i \(-0.835488\pi\)
0.400542 + 0.916278i \(0.368822\pi\)
\(200\) 9.32686 133.778i 0.0466343 0.668891i
\(201\) 92.6337 285.097i 0.460864 1.41839i
\(202\) 36.2353 116.128i 0.179382 0.574892i
\(203\) −204.282 21.4709i −1.00631 0.105768i
\(204\) −101.127 + 95.4352i −0.495723 + 0.467820i
\(205\) −59.5227 + 66.1066i −0.290355 + 0.322471i
\(206\) −185.321 + 21.6738i −0.899615 + 0.105213i
\(207\) −0.367568 + 1.72927i −0.00177569 + 0.00835397i
\(208\) 118.054 59.3299i 0.567569 0.285240i
\(209\) −4.50808 3.27531i −0.0215698 0.0156714i
\(210\) −154.907 66.8078i −0.737653 0.318132i
\(211\) −35.8935 + 20.7231i −0.170112 + 0.0982139i −0.582638 0.812731i \(-0.697980\pi\)
0.412527 + 0.910945i \(0.364646\pi\)
\(212\) −174.295 + 318.902i −0.822148 + 1.50425i
\(213\) 0.392933 0.285482i 0.00184475 0.00134029i
\(214\) 73.1914 + 325.554i 0.342016 + 1.52128i
\(215\) −151.811 + 49.3264i −0.706098 + 0.229425i
\(216\) −7.48187 212.989i −0.0346383 0.986059i
\(217\) −71.9289 + 291.090i −0.331470 + 1.34143i
\(218\) 275.838 3.22870i 1.26531 0.0148105i
\(219\) 43.5190 14.1402i 0.198717 0.0645670i
\(220\) −5.13776 21.6646i −0.0233535 0.0984755i
\(221\) 76.4308 55.5302i 0.345841 0.251268i
\(222\) −104.878 58.9253i −0.472422 0.265429i
\(223\) −229.553 + 132.533i −1.02939 + 0.594316i −0.916809 0.399327i \(-0.869244\pi\)
−0.112577 + 0.993643i \(0.535911\pi\)
\(224\) −109.138 + 289.638i −0.487225 + 1.29303i
\(225\) −3.15363 2.29125i −0.0140161 0.0101833i
\(226\) 92.3183 42.4044i 0.408488 0.187630i
\(227\) 4.72010 22.2063i 0.0207934 0.0978253i −0.966527 0.256564i \(-0.917409\pi\)
0.987321 + 0.158739i \(0.0507428\pi\)
\(228\) −4.46199 34.6335i −0.0195701 0.151901i
\(229\) −228.582 + 253.866i −0.998175 + 1.10859i −0.00408919 + 0.999992i \(0.501302\pi\)
−0.994086 + 0.108594i \(0.965365\pi\)
\(230\) 32.0859 29.5776i 0.139504 0.128598i
\(231\) 56.6885 + 5.95820i 0.245405 + 0.0257931i
\(232\) 46.7945 163.319i 0.201700 0.703963i
\(233\) −112.254 + 345.483i −0.481778 + 1.48276i 0.354816 + 0.934936i \(0.384543\pi\)
−0.836594 + 0.547824i \(0.815457\pi\)
\(234\) 0.356718 3.82399i 0.00152444 0.0163418i
\(235\) 121.386 109.296i 0.516536 0.465091i
\(236\) 255.843 + 219.740i 1.08408 + 0.931100i
\(237\) −47.8162 454.940i −0.201756 1.91958i
\(238\) −43.4773 + 217.003i −0.182678 + 0.911779i
\(239\) −84.3746 189.508i −0.353032 0.792922i −0.999549 0.0300231i \(-0.990442\pi\)
0.646517 0.762899i \(-0.276225\pi\)
\(240\) 76.6410 116.597i 0.319337 0.485821i
\(241\) 252.237 + 112.303i 1.04663 + 0.465988i 0.856703 0.515810i \(-0.172509\pi\)
0.189924 + 0.981799i \(0.439176\pi\)
\(242\) −119.607 201.677i −0.494244 0.833375i
\(243\) −10.8723 6.27712i −0.0447419 0.0258318i
\(244\) −59.1113 + 45.0980i −0.242259 + 0.184828i
\(245\) −125.082 + 26.5871i −0.510540 + 0.108519i
\(246\) 178.442 60.2972i 0.725373 0.245111i
\(247\) 23.7254i 0.0960542i
\(248\) −226.791 100.348i −0.914480 0.404631i
\(249\) 368.404 1.47953
\(250\) 76.7416 + 227.107i 0.306966 + 0.908427i
\(251\) 28.3760 + 133.498i 0.113052 + 0.531866i 0.997829 + 0.0658528i \(0.0209768\pi\)
−0.884778 + 0.466013i \(0.845690\pi\)
\(252\) 5.45725 + 7.15298i 0.0216558 + 0.0283849i
\(253\) −7.37239 + 12.7694i −0.0291399 + 0.0504718i
\(254\) 154.316 91.5189i 0.607541 0.360310i
\(255\) 40.5797 91.1436i 0.159136 0.357426i
\(256\) −220.270 130.449i −0.860431 0.509568i
\(257\) −40.7515 + 18.1437i −0.158566 + 0.0705981i −0.484485 0.874800i \(-0.660993\pi\)
0.325919 + 0.945398i \(0.394326\pi\)
\(258\) 331.401 + 66.3972i 1.28450 + 0.257353i
\(259\) −190.421 + 20.0141i −0.735218 + 0.0772745i
\(260\) −61.7676 + 71.9160i −0.237568 + 0.276600i
\(261\) −3.30442 3.66993i −0.0126606 0.0140610i
\(262\) −55.5738 5.18417i −0.212114 0.0197869i
\(263\) 44.4899 + 14.4556i 0.169163 + 0.0549644i 0.392374 0.919806i \(-0.371654\pi\)
−0.223211 + 0.974770i \(0.571654\pi\)
\(264\) −12.9855 + 45.3213i −0.0491876 + 0.171672i
\(265\) 27.2569 259.332i 0.102856 0.978611i
\(266\) −37.6709 40.8656i −0.141620 0.153630i
\(267\) −360.399 324.505i −1.34981 1.21537i
\(268\) 391.391 50.4248i 1.46042 0.188152i
\(269\) 120.437 + 25.5996i 0.447720 + 0.0951658i 0.426254 0.904604i \(-0.359833\pi\)
0.0214665 + 0.999770i \(0.493166\pi\)
\(270\) 63.8272 + 138.958i 0.236397 + 0.514659i
\(271\) 60.1299 82.7617i 0.221882 0.305394i −0.683535 0.729918i \(-0.739558\pi\)
0.905417 + 0.424524i \(0.139558\pi\)
\(272\) −170.525 66.5449i −0.626929 0.244650i
\(273\) −121.347 210.179i −0.444495 0.769887i
\(274\) −149.435 + 265.970i −0.545382 + 0.970692i
\(275\) −19.1096 26.3021i −0.0694895 0.0956440i
\(276\) −89.9070 + 21.3215i −0.325750 + 0.0772517i
\(277\) 36.5178 + 112.390i 0.131833 + 0.405741i 0.995084 0.0990342i \(-0.0315753\pi\)
−0.863251 + 0.504775i \(0.831575\pi\)
\(278\) −1.24658 106.499i −0.00448411 0.383091i
\(279\) −5.96795 + 4.04366i −0.0213905 + 0.0144934i
\(280\) −7.79648 221.945i −0.0278446 0.792660i
\(281\) −112.228 345.402i −0.399388 1.22919i −0.925491 0.378769i \(-0.876348\pi\)
0.526104 0.850420i \(-0.323652\pi\)
\(282\) −337.435 + 75.8626i −1.19658 + 0.269016i
\(283\) −273.444 376.363i −0.966232 1.32990i −0.943927 0.330153i \(-0.892900\pi\)
−0.0223047 0.999751i \(-0.507100\pi\)
\(284\) 0.561051 + 0.306642i 0.00197553 + 0.00107973i
\(285\) 12.5276 + 21.6985i 0.0439565 + 0.0761350i
\(286\) 12.6850 29.4127i 0.0443532 0.102842i
\(287\) 176.213 242.536i 0.613982 0.845074i
\(288\) −6.60939 + 3.41912i −0.0229493 + 0.0118719i
\(289\) 154.658 + 32.8737i 0.535150 + 0.113750i
\(290\) 14.1599 + 121.073i 0.0488272 + 0.417494i
\(291\) 234.581 + 211.217i 0.806119 + 0.725833i
\(292\) 41.3440 + 43.8100i 0.141589 + 0.150034i
\(293\) 33.1081 315.003i 0.112997 1.07509i −0.780232 0.625491i \(-0.784899\pi\)
0.893228 0.449603i \(-0.148435\pi\)
\(294\) 258.476 + 80.6517i 0.879169 + 0.274325i
\(295\) −230.140 74.7771i −0.780137 0.253482i
\(296\) 11.0142 157.980i 0.0372101 0.533717i
\(297\) −34.5724 38.3965i −0.116405 0.129281i
\(298\) 175.504 199.566i 0.588940 0.669683i
\(299\) 62.4355 6.56224i 0.208814 0.0219473i
\(300\) 37.6830 200.221i 0.125610 0.667405i
\(301\) 491.445 218.805i 1.63271 0.726928i
\(302\) −305.536 + 431.055i −1.01171 + 1.42734i
\(303\) 75.1721 168.839i 0.248093 0.557225i
\(304\) 38.6914 24.8228i 0.127274 0.0816538i
\(305\) 26.6735 46.1999i 0.0874542 0.151475i
\(306\) −4.26777 + 3.17769i −0.0139470 + 0.0103846i
\(307\) −70.3201 330.830i −0.229056 1.07762i −0.930895 0.365287i \(-0.880971\pi\)
0.701839 0.712336i \(-0.252363\pi\)
\(308\) 24.8520 + 70.8028i 0.0806884 + 0.229879i
\(309\) −283.468 −0.917373
\(310\) 177.903 + 3.75525i 0.573880 + 0.0121137i
\(311\) 181.418i 0.583338i 0.956519 + 0.291669i \(0.0942106\pi\)
−0.956519 + 0.291669i \(0.905789\pi\)
\(312\) 188.611 68.6930i 0.604522 0.220170i
\(313\) −252.995 + 53.7758i −0.808292 + 0.171808i −0.593481 0.804848i \(-0.702247\pi\)
−0.214811 + 0.976656i \(0.568914\pi\)
\(314\) −150.667 + 112.184i −0.479832 + 0.357273i
\(315\) −5.59060 3.22773i −0.0177479 0.0102468i
\(316\) 514.328 313.224i 1.62762 0.991215i
\(317\) 508.219 + 226.274i 1.60322 + 0.713797i 0.996692 0.0812686i \(-0.0258972\pi\)
0.606523 + 0.795066i \(0.292564\pi\)
\(318\) −319.286 + 450.454i −1.00404 + 1.41652i
\(319\) −16.7524 37.6266i −0.0525155 0.117952i
\(320\) 181.905 + 25.4884i 0.568455 + 0.0796511i
\(321\) 52.9902 + 504.168i 0.165079 + 1.57062i
\(322\) −97.1221 + 110.437i −0.301621 + 0.342973i
\(323\) 24.4270 21.9942i 0.0756255 0.0680935i
\(324\) 26.9780 331.058i 0.0832655 1.02178i
\(325\) −42.7754 + 131.649i −0.131617 + 0.405074i
\(326\) 460.501 + 143.689i 1.41258 + 0.440764i
\(327\) 416.801 + 43.8076i 1.27462 + 0.133968i
\(328\) 172.281 + 178.329i 0.525248 + 0.543685i
\(329\) −368.344 + 409.087i −1.11959 + 1.24343i
\(330\) −3.92939 33.5979i −0.0119072 0.101812i
\(331\) −27.9521 + 131.504i −0.0844474 + 0.397294i −0.999988 0.00493224i \(-0.998430\pi\)
0.915540 + 0.402226i \(0.131763\pi\)
\(332\) 207.576 + 438.313i 0.625228 + 1.32022i
\(333\) −3.72416 2.70576i −0.0111837 0.00812541i
\(334\) −85.9045 + 199.187i −0.257199 + 0.596368i
\(335\) −245.213 + 141.574i −0.731981 + 0.422609i
\(336\) −215.801 + 417.794i −0.642266 + 1.24343i
\(337\) −88.0910 + 64.0018i −0.261398 + 0.189916i −0.710763 0.703432i \(-0.751650\pi\)
0.449365 + 0.893348i \(0.351650\pi\)
\(338\) 196.708 44.2241i 0.581977 0.130841i
\(339\) 146.789 47.6947i 0.433006 0.140692i
\(340\) 131.303 3.07425i 0.386187 0.00904191i
\(341\) −57.7598 + 16.6935i −0.169384 + 0.0489545i
\(342\) −0.0156397 1.33615i −4.57301e−5 0.00390687i
\(343\) −40.8825 + 13.2835i −0.119191 + 0.0387275i
\(344\) 107.730 + 431.699i 0.313167 + 1.25494i
\(345\) 53.6365 38.9692i 0.155468 0.112954i
\(346\) 243.310 433.054i 0.703209 1.25160i
\(347\) 146.866 84.7929i 0.423244 0.244360i −0.273220 0.961951i \(-0.588089\pi\)
0.696464 + 0.717592i \(0.254756\pi\)
\(348\) 99.4339 238.186i 0.285730 0.684442i
\(349\) −357.696 259.881i −1.02492 0.744645i −0.0576317 0.998338i \(-0.518355\pi\)
−0.967285 + 0.253692i \(0.918355\pi\)
\(350\) −135.353 294.676i −0.386723 0.841932i
\(351\) −45.7379 + 215.180i −0.130307 + 0.613048i
\(352\) −61.2381 + 10.0864i −0.173972 + 0.0286546i
\(353\) −205.801 + 228.565i −0.583006 + 0.647494i −0.960422 0.278550i \(-0.910146\pi\)
0.377415 + 0.926044i \(0.376813\pi\)
\(354\) 347.280 + 376.731i 0.981017 + 1.06421i
\(355\) −0.456249 0.0479537i −0.00128521 0.000135081i
\(356\) 183.018 611.629i 0.514095 1.71806i
\(357\) −103.902 + 319.779i −0.291043 + 0.895739i
\(358\) −190.435 17.7646i −0.531942 0.0496219i
\(359\) 379.171 341.407i 1.05619 0.950994i 0.0573081 0.998357i \(-0.481748\pi\)
0.998878 + 0.0473625i \(0.0150816\pi\)
\(360\) 3.43117 4.09083i 0.00953104 0.0113634i
\(361\) −36.8719 350.813i −0.102138 0.971781i
\(362\) −158.046 31.6650i −0.436591 0.0874724i
\(363\) −144.892 325.432i −0.399151 0.896508i
\(364\) 181.691 262.798i 0.499150 0.721974i
\(365\) −39.4848 17.5798i −0.108177 0.0481637i
\(366\) −97.1560 + 57.6196i −0.265453 + 0.157431i
\(367\) 63.9694 + 36.9328i 0.174304 + 0.100634i 0.584614 0.811312i \(-0.301246\pi\)
−0.410310 + 0.911946i \(0.634579\pi\)
\(368\) −76.0251 94.9543i −0.206590 0.258028i
\(369\) 7.05006 1.49854i 0.0191059 0.00406108i
\(370\) 36.3753 + 107.648i 0.0983116 + 0.290940i
\(371\) 878.799i 2.36873i
\(372\) −324.512 191.447i −0.872343 0.514642i
\(373\) 287.849 0.771713 0.385857 0.922559i \(-0.373906\pi\)
0.385857 + 0.922559i \(0.373906\pi\)
\(374\) −42.0420 + 14.2064i −0.112412 + 0.0379851i
\(375\) 75.7212 + 356.240i 0.201923 + 0.949975i
\(376\) −280.385 358.723i −0.745704 0.954050i
\(377\) −87.6826 + 151.871i −0.232580 + 0.402840i
\(378\) −262.879 443.257i −0.695448 1.17264i
\(379\) 252.415 566.933i 0.666003 1.49587i −0.191557 0.981482i \(-0.561354\pi\)
0.857559 0.514385i \(-0.171980\pi\)
\(380\) −18.7574 + 27.1308i −0.0493614 + 0.0713967i
\(381\) 249.009 110.866i 0.653566 0.290986i
\(382\) −93.6416 + 467.383i −0.245135 + 1.22352i
\(383\) −680.335 + 71.5061i −1.77633 + 0.186700i −0.935198 0.354126i \(-0.884778\pi\)
−0.841134 + 0.540826i \(0.818112\pi\)
\(384\) −309.360 235.717i −0.805624 0.613847i
\(385\) −36.0262 40.0111i −0.0935745 0.103925i
\(386\) 15.2011 162.954i 0.0393811 0.422162i
\(387\) 12.3004 + 3.99665i 0.0317840 + 0.0103273i
\(388\) −119.125 + 398.104i −0.307023 + 1.02604i
\(389\) 9.27630 88.2581i 0.0238465 0.226884i −0.976107 0.217288i \(-0.930279\pi\)
0.999954 0.00959602i \(-0.00305455\pi\)
\(390\) −105.897 + 97.6185i −0.271531 + 0.250304i
\(391\) −64.6361 58.1986i −0.165310 0.148846i
\(392\) 49.6808 + 352.967i 0.126737 + 0.900426i
\(393\) −82.9443 17.6303i −0.211054 0.0448609i
\(394\) −301.229 + 138.363i −0.764541 + 0.351175i
\(395\) −253.972 + 349.563i −0.642967 + 0.884969i
\(396\) −0.694996 + 1.66481i −0.00175504 + 0.00420406i
\(397\) −275.649 477.439i −0.694331 1.20262i −0.970406 0.241481i \(-0.922367\pi\)
0.276074 0.961136i \(-0.410966\pi\)
\(398\) −218.911 122.995i −0.550028 0.309032i
\(399\) −49.6323 68.3130i −0.124392 0.171211i
\(400\) 259.448 67.9801i 0.648620 0.169950i
\(401\) −166.487 512.394i −0.415179 1.27779i −0.912091 0.409989i \(-0.865533\pi\)
0.496912 0.867801i \(-0.334467\pi\)
\(402\) 599.497 7.01715i 1.49129 0.0174556i
\(403\) 202.054 + 157.181i 0.501374 + 0.390026i
\(404\) 243.234 5.69491i 0.602063 0.0140963i
\(405\) 73.6464 + 226.660i 0.181843 + 0.559655i
\(406\) −90.1104 400.810i −0.221947 0.987216i
\(407\) −22.5668 31.0605i −0.0554466 0.0763157i
\(408\) −245.573 130.508i −0.601895 0.319873i
\(409\) 47.3010 + 81.9277i 0.115650 + 0.200312i 0.918039 0.396489i \(-0.129771\pi\)
−0.802389 + 0.596801i \(0.796438\pi\)
\(410\) −163.365 70.4555i −0.398452 0.171843i
\(411\) −272.430 + 374.968i −0.662848 + 0.912331i
\(412\) −159.719 337.259i −0.387667 0.818591i
\(413\) 797.698 + 169.556i 1.93147 + 0.410547i
\(414\) −3.51187 + 0.410725i −0.00848278 + 0.000992089i
\(415\) −258.598 232.843i −0.623127 0.561066i
\(416\) 188.000 + 185.697i 0.451923 + 0.446387i
\(417\) 16.9138 160.924i 0.0405608 0.385910i
\(418\) 3.31958 10.6387i 0.00794158 0.0254515i
\(419\) 200.856 + 65.2621i 0.479370 + 0.155757i 0.538728 0.842480i \(-0.318905\pi\)
−0.0593576 + 0.998237i \(0.518905\pi\)
\(420\) 27.4039 336.284i 0.0652474 0.800677i
\(421\) −41.1053 45.6521i −0.0976374 0.108437i 0.692346 0.721566i \(-0.256577\pi\)
−0.789983 + 0.613129i \(0.789911\pi\)
\(422\) −62.2461 54.7412i −0.147503 0.129718i
\(423\) −13.1621 + 1.38340i −0.0311161 + 0.00327044i
\(424\) −715.832 126.068i −1.68828 0.297330i
\(425\) 175.197 78.0026i 0.412228 0.183536i
\(426\) 0.792494 + 0.561727i 0.00186031 + 0.00131861i
\(427\) −73.1259 + 164.244i −0.171255 + 0.384645i
\(428\) −569.982 + 347.117i −1.33173 + 0.811020i
\(429\) 24.3320 42.1443i 0.0567180 0.0982385i
\(430\) −190.659 256.062i −0.443392 0.595494i
\(431\) 18.2275 + 85.7538i 0.0422913 + 0.198965i 0.994221 0.107351i \(-0.0342369\pi\)
−0.951930 + 0.306316i \(0.900904\pi\)
\(432\) 398.770 150.543i 0.923078 0.348480i
\(433\) −302.391 −0.698362 −0.349181 0.937055i \(-0.613540\pi\)
−0.349181 + 0.937055i \(0.613540\pi\)
\(434\) −597.595 + 50.0843i −1.37695 + 0.115402i
\(435\) 185.195i 0.425735i
\(436\) 182.724 + 520.577i 0.419092 + 1.19398i
\(437\) 21.3653 4.54133i 0.0488908 0.0103921i
\(438\) 54.6553 + 73.4043i 0.124784 + 0.167590i
\(439\) 331.814 + 191.573i 0.755841 + 0.436385i 0.827801 0.561022i \(-0.189592\pi\)
−0.0719593 + 0.997408i \(0.522925\pi\)
\(440\) 37.7595 23.6056i 0.0858171 0.0536492i
\(441\) 9.46539 + 4.21427i 0.0214635 + 0.00955616i
\(442\) 154.151 + 109.264i 0.348758 + 0.247203i
\(443\) 76.8648 + 172.641i 0.173510 + 0.389709i 0.979278 0.202522i \(-0.0649139\pi\)
−0.805768 + 0.592231i \(0.798247\pi\)
\(444\) 44.5003 236.444i 0.100226 0.532531i
\(445\) 47.8820 + 455.567i 0.107600 + 1.02375i
\(446\) −398.088 350.091i −0.892575 0.784957i
\(447\) 300.049 270.166i 0.671252 0.604398i
\(448\) −618.667 21.3479i −1.38095 0.0476516i
\(449\) −5.83988 + 17.9733i −0.0130064 + 0.0400296i −0.957349 0.288934i \(-0.906699\pi\)
0.944343 + 0.328963i \(0.106699\pi\)
\(450\) 2.32221 7.44232i 0.00516047 0.0165385i
\(451\) 59.7837 + 6.28352i 0.132558 + 0.0139324i
\(452\) 139.453 + 147.771i 0.308524 + 0.326926i
\(453\) −537.117 + 596.529i −1.18569 + 1.31684i
\(454\) 45.0975 5.27430i 0.0993337 0.0116174i
\(455\) −47.6612 + 224.228i −0.104750 + 0.492810i
\(456\) 62.7649 30.6286i 0.137642 0.0671679i
\(457\) −169.668 123.271i −0.371264 0.269739i 0.386471 0.922302i \(-0.373694\pi\)
−0.757735 + 0.652563i \(0.773694\pi\)
\(458\) −627.363 270.567i −1.36979 0.590757i
\(459\) 263.944 152.388i 0.575042 0.332001i
\(460\) 76.5852 + 41.8576i 0.166490 + 0.0909947i
\(461\) −159.535 + 115.909i −0.346064 + 0.251430i −0.747216 0.664581i \(-0.768610\pi\)
0.401152 + 0.916011i \(0.368610\pi\)
\(462\) 25.0058 + 111.225i 0.0541250 + 0.240747i
\(463\) 563.153 182.980i 1.21631 0.395204i 0.370576 0.928802i \(-0.379160\pi\)
0.845738 + 0.533598i \(0.179160\pi\)
\(464\) 339.409 15.9021i 0.731486 0.0342718i
\(465\) 267.787 + 37.0626i 0.575887 + 0.0797046i
\(466\) −726.475 + 8.50343i −1.55896 + 0.0182477i
\(467\) 479.805 155.898i 1.02742 0.333829i 0.253650 0.967296i \(-0.418369\pi\)
0.773770 + 0.633467i \(0.218369\pi\)
\(468\) 7.47389 1.77243i 0.0159698 0.00378725i
\(469\) 772.003 560.893i 1.64606 1.19593i
\(470\) 284.807 + 160.018i 0.605973 + 0.340465i
\(471\) −247.150 + 142.692i −0.524736 + 0.302956i
\(472\) −252.547 + 625.448i −0.535056 + 1.32510i
\(473\) 87.2672 + 63.4033i 0.184497 + 0.134045i
\(474\) 831.384 381.877i 1.75397 0.805648i
\(475\) −10.0133 + 47.1089i −0.0210806 + 0.0991766i
\(476\) −439.003 + 56.5588i −0.922276 + 0.118821i
\(477\) −14.1374 + 15.7012i −0.0296382 + 0.0329165i
\(478\) 305.050 281.202i 0.638179 0.588289i
\(479\) −660.287 69.3989i −1.37847 0.144883i −0.613879 0.789400i \(-0.710392\pi\)
−0.764590 + 0.644517i \(0.777058\pi\)
\(480\) 269.992 + 70.5636i 0.562483 + 0.147008i
\(481\) −50.5140 + 155.466i −0.105019 + 0.323214i
\(482\) −51.2905 + 549.829i −0.106412 + 1.14072i
\(483\) −166.044 + 149.507i −0.343777 + 0.309538i
\(484\) 305.548 355.750i 0.631298 0.735021i
\(485\) −31.1660 296.524i −0.0642597 0.611390i
\(486\) 4.93254 24.6192i 0.0101493 0.0506568i
\(487\) 219.452 + 492.897i 0.450619 + 1.01211i 0.985885 + 0.167424i \(0.0535449\pi\)
−0.535265 + 0.844684i \(0.679788\pi\)
\(488\) −123.296 83.1268i −0.252655 0.170342i
\(489\) 669.524 + 298.091i 1.36917 + 0.609594i
\(490\) −130.460 219.977i −0.266246 0.448933i
\(491\) −274.202 158.311i −0.558457 0.322425i 0.194069 0.980988i \(-0.437831\pi\)
−0.752526 + 0.658563i \(0.771165\pi\)
\(492\) 228.496 + 299.497i 0.464423 + 0.608733i
\(493\) 237.647 50.5134i 0.482042 0.102461i
\(494\) −44.9537 + 15.1903i −0.0909993 + 0.0307496i
\(495\) 1.29442i 0.00261500i
\(496\) 44.9312 493.961i 0.0905872 0.995889i
\(497\) 1.54609 0.00311085
\(498\) 235.872 + 698.033i 0.473639 + 1.40167i
\(499\) 116.621 + 548.659i 0.233710 + 1.09952i 0.925890 + 0.377793i \(0.123317\pi\)
−0.692180 + 0.721725i \(0.743350\pi\)
\(500\) −381.176 + 290.812i −0.762352 + 0.581624i
\(501\) −164.780 + 285.407i −0.328901 + 0.569674i
\(502\) −234.778 + 139.238i −0.467685 + 0.277367i
\(503\) −149.806 + 336.469i −0.297824 + 0.668924i −0.999030 0.0440347i \(-0.985979\pi\)
0.701206 + 0.712959i \(0.252645\pi\)
\(504\) −10.0591 + 14.9199i −0.0199585 + 0.0296029i
\(505\) −159.478 + 71.0041i −0.315798 + 0.140602i
\(506\) −28.9149 5.79320i −0.0571442 0.0114490i
\(507\) 304.631 32.0181i 0.600851 0.0631520i
\(508\) 272.206 + 233.794i 0.535840 + 0.460224i
\(509\) −286.340 318.013i −0.562555 0.624780i 0.393020 0.919530i \(-0.371430\pi\)
−0.955574 + 0.294750i \(0.904764\pi\)
\(510\) 198.676 + 18.5333i 0.389560 + 0.0363399i
\(511\) 138.533 + 45.0121i 0.271102 + 0.0880863i
\(512\) 106.140 500.878i 0.207304 0.978277i
\(513\) −8.00053 + 76.1200i −0.0155956 + 0.148382i
\(514\) −60.4691 65.5972i −0.117644 0.127621i
\(515\) 198.978 + 179.161i 0.386365 + 0.347885i
\(516\) 86.3749 + 670.433i 0.167393 + 1.29929i
\(517\) −107.968 22.9494i −0.208836 0.0443895i
\(518\) −159.840 347.987i −0.308571 0.671789i
\(519\) 443.573 610.526i 0.854669 1.17635i
\(520\) −175.810 70.9895i −0.338096 0.136518i
\(521\) −358.490 620.922i −0.688080 1.19179i −0.972458 0.233078i \(-0.925120\pi\)
0.284378 0.958712i \(-0.408213\pi\)
\(522\) 4.83793 8.61074i 0.00926807 0.0164957i
\(523\) 29.2995 + 40.3273i 0.0560220 + 0.0771077i 0.836109 0.548564i \(-0.184825\pi\)
−0.780087 + 0.625671i \(0.784825\pi\)
\(524\) −25.7587 108.618i −0.0491577 0.207285i
\(525\) −152.239 468.545i −0.289980 0.892466i
\(526\) 1.09504 + 93.5524i 0.00208182 + 0.177856i
\(527\) −25.4814 353.741i −0.0483518 0.671235i
\(528\) −94.1866 + 4.41286i −0.178384 + 0.00835769i
\(529\) 145.610 + 448.140i 0.275254 + 0.847146i
\(530\) 508.820 114.394i 0.960039 0.215837i
\(531\) 11.5245 + 15.8621i 0.0217034 + 0.0298722i
\(532\) 53.3111 97.5412i 0.100209 0.183348i
\(533\) −127.973 221.655i −0.240099 0.415863i
\(534\) 384.108 890.632i 0.719304 1.66785i
\(535\) 281.454 387.388i 0.526081 0.724089i
\(536\) 346.132 + 709.304i 0.645769 + 1.32333i
\(537\) −284.226 60.4141i −0.529285 0.112503i
\(538\) 28.6053 + 244.588i 0.0531697 + 0.454624i
\(539\) 64.2187 + 57.8228i 0.119144 + 0.107278i
\(540\) −222.425 + 209.905i −0.411898 + 0.388713i
\(541\) −71.7266 + 682.433i −0.132582 + 1.26143i 0.702652 + 0.711534i \(0.251999\pi\)
−0.835233 + 0.549895i \(0.814668\pi\)
\(542\) 195.311 + 60.9425i 0.360353 + 0.112440i
\(543\) −232.899 75.6733i −0.428911 0.139362i
\(544\) 16.9067 365.707i 0.0310784 0.672256i
\(545\) −264.882 294.181i −0.486022 0.539782i
\(546\) 320.544 364.490i 0.587077 0.667565i
\(547\) 47.8759 5.03196i 0.0875244 0.00919919i −0.0606650 0.998158i \(-0.519322\pi\)
0.148189 + 0.988959i \(0.452655\pi\)
\(548\) −599.622 112.853i −1.09420 0.205936i
\(549\) −3.94873 + 1.75809i −0.00719259 + 0.00320235i
\(550\) 37.6009 53.0479i 0.0683653 0.0964508i
\(551\) −24.8167 + 55.7391i −0.0450393 + 0.101160i
\(552\) −97.9622 156.700i −0.177468 0.283877i
\(553\) 728.090 1261.09i 1.31662 2.28045i
\(554\) −189.571 + 141.151i −0.342185 + 0.254784i
\(555\) 35.8916 + 168.857i 0.0646696 + 0.304247i
\(556\) 200.992 70.5487i 0.361496 0.126886i
\(557\) −593.062 −1.06474 −0.532372 0.846511i \(-0.678699\pi\)
−0.532372 + 0.846511i \(0.678699\pi\)
\(558\) −11.4827 8.71879i −0.0205784 0.0156251i
\(559\) 459.275i 0.821600i
\(560\) 415.538 156.874i 0.742033 0.280131i
\(561\) −65.9473 + 14.0175i −0.117553 + 0.0249867i
\(562\) 582.596 433.789i 1.03665 0.771867i
\(563\) 58.8466 + 33.9751i 0.104523 + 0.0603466i 0.551350 0.834274i \(-0.314113\pi\)
−0.446827 + 0.894620i \(0.647446\pi\)
\(564\) −359.785 590.784i −0.637917 1.04749i
\(565\) −133.182 59.2963i −0.235720 0.104949i
\(566\) 538.040 759.075i 0.950600 1.34112i
\(567\) −326.685 733.747i −0.576165 1.29409i
\(568\) −0.221794 + 1.25938i −0.000390482 + 0.00221722i
\(569\) 48.0900 + 457.546i 0.0845167 + 0.804122i 0.951885 + 0.306456i \(0.0991431\pi\)
−0.867368 + 0.497667i \(0.834190\pi\)
\(570\) −33.0923 + 37.6292i −0.0580566 + 0.0660162i
\(571\) −79.8411 + 71.8892i −0.139827 + 0.125901i −0.736076 0.676899i \(-0.763324\pi\)
0.596250 + 0.802799i \(0.296657\pi\)
\(572\) 63.8514 + 5.20327i 0.111628 + 0.00909663i
\(573\) −223.786 + 688.741i −0.390551 + 1.20199i
\(574\) 572.367 + 178.594i 0.997154 + 0.311140i
\(575\) 126.741 + 13.3210i 0.220419 + 0.0231670i
\(576\) −10.7101 10.3340i −0.0185939 0.0179410i
\(577\) −601.879 + 668.454i −1.04312 + 1.15850i −0.0560116 + 0.998430i \(0.517838\pi\)
−0.987106 + 0.160069i \(0.948828\pi\)
\(578\) 36.7334 + 314.086i 0.0635526 + 0.543402i
\(579\) 51.6960 243.211i 0.0892850 0.420053i
\(580\) −220.337 + 104.347i −0.379892 + 0.179909i
\(581\) 948.761 + 689.315i 1.63298 + 1.18643i
\(582\) −250.013 + 579.705i −0.429575 + 0.996056i
\(583\) −152.605 + 88.1066i −0.261758 + 0.151126i
\(584\) −56.5382 + 106.386i −0.0968120 + 0.182168i
\(585\) −4.45875 + 3.23947i −0.00762180 + 0.00553756i
\(586\) 618.048 138.950i 1.05469 0.237116i
\(587\) −403.477 + 131.097i −0.687354 + 0.223335i −0.631812 0.775122i \(-0.717689\pi\)
−0.0555416 + 0.998456i \(0.517689\pi\)
\(588\) 12.6756 + 541.384i 0.0215572 + 0.920722i
\(589\) 75.6310 + 47.0393i 0.128406 + 0.0798630i
\(590\) −5.66448 483.935i −0.00960082 0.820228i
\(591\) −478.964 + 155.625i −0.810430 + 0.263325i
\(592\) 306.385 80.2785i 0.517542 0.135606i
\(593\) 127.978 92.9812i 0.215814 0.156798i −0.474626 0.880187i \(-0.657417\pi\)
0.690440 + 0.723389i \(0.257417\pi\)
\(594\) 50.6167 90.0896i 0.0852133 0.151666i
\(595\) 275.043 158.796i 0.462258 0.266885i
\(596\) 490.494 + 204.763i 0.822976 + 0.343563i
\(597\) −308.624 224.229i −0.516959 0.375593i
\(598\) 52.4084 + 114.098i 0.0876395 + 0.190800i
\(599\) 154.306 725.952i 0.257606 1.21194i −0.639033 0.769179i \(-0.720665\pi\)
0.896639 0.442762i \(-0.146001\pi\)
\(600\) 403.496 56.7929i 0.672494 0.0946548i
\(601\) −624.804 + 693.915i −1.03961 + 1.15460i −0.0518415 + 0.998655i \(0.516509\pi\)
−0.987766 + 0.155945i \(0.950158\pi\)
\(602\) 729.231 + 791.073i 1.21135 + 1.31408i
\(603\) 22.8163 + 2.39809i 0.0378379 + 0.00397693i
\(604\) −1012.36 302.929i −1.67610 0.501539i
\(605\) −103.978 + 320.010i −0.171864 + 0.528943i
\(606\) 368.037 + 34.3321i 0.607322 + 0.0566537i
\(607\) −383.521 + 345.324i −0.631830 + 0.568902i −0.921574 0.388202i \(-0.873096\pi\)
0.289745 + 0.957104i \(0.406430\pi\)
\(608\) 71.8053 + 57.4177i 0.118101 + 0.0944370i
\(609\) −65.2395 620.712i −0.107126 1.01923i
\(610\) 104.615 + 20.9600i 0.171500 + 0.0343606i
\(611\) 191.154 + 429.339i 0.312855 + 0.702683i
\(612\) −8.75339 6.05182i −0.0143029 0.00988859i
\(613\) 913.496 + 406.714i 1.49020 + 0.663482i 0.980438 0.196830i \(-0.0630648\pi\)
0.509767 + 0.860312i \(0.329731\pi\)
\(614\) 581.817 345.055i 0.947585 0.561978i
\(615\) −234.079 135.146i −0.380617 0.219749i
\(616\) −118.242 + 92.4201i −0.191951 + 0.150033i
\(617\) 586.017 124.562i 0.949784 0.201883i 0.293128 0.956073i \(-0.405304\pi\)
0.656656 + 0.754190i \(0.271970\pi\)
\(618\) −181.492 537.101i −0.293676 0.869096i
\(619\) 1082.97i 1.74955i −0.484528 0.874776i \(-0.661009\pi\)
0.484528 0.874776i \(-0.338991\pi\)
\(620\) 106.788 + 339.485i 0.172238 + 0.547557i
\(621\) 202.530 0.326135
\(622\) −343.742 + 116.154i −0.552639 + 0.186742i
\(623\) −320.970 1510.04i −0.515200 2.42383i
\(624\) 250.915 + 313.390i 0.402107 + 0.502227i
\(625\) −37.5330 + 65.0091i −0.0600528 + 0.104015i
\(626\) −263.873 444.933i −0.421523 0.710755i
\(627\) 6.88666 15.4677i 0.0109835 0.0246693i
\(628\) −309.026 213.651i −0.492079 0.340208i
\(629\) 206.892 92.1142i 0.328922 0.146446i
\(630\) 2.53634 12.6594i 0.00402594 0.0200942i
\(631\) 526.535 55.3410i 0.834445 0.0877037i 0.322337 0.946625i \(-0.395531\pi\)
0.512108 + 0.858921i \(0.328865\pi\)
\(632\) 922.782 + 773.980i 1.46010 + 1.22465i
\(633\) −84.2669 93.5879i −0.133123 0.147848i
\(634\) −103.342 + 1107.82i −0.163001 + 1.74735i
\(635\) −244.860 79.5598i −0.385606 0.125291i
\(636\) −1057.92 316.562i −1.66340 0.497739i
\(637\) 38.4593 365.916i 0.0603757 0.574437i
\(638\) 60.5671 55.8322i 0.0949328 0.0875113i
\(639\) 0.0276234 + 0.0248723i 4.32292e−5 + 3.89237e-5i
\(640\) 68.1717 + 360.984i 0.106518 + 0.564038i
\(641\) −94.8056 20.1515i −0.147903 0.0314377i 0.133365 0.991067i \(-0.457422\pi\)
−0.281268 + 0.959629i \(0.590755\pi\)
\(642\) −921.345 + 423.199i −1.43512 + 0.659189i
\(643\) −740.257 + 1018.88i −1.15125 + 1.58457i −0.411932 + 0.911215i \(0.635146\pi\)
−0.739323 + 0.673351i \(0.764854\pi\)
\(644\) −271.434 113.314i −0.421482 0.175953i
\(645\) −242.509 420.038i −0.375983 0.651221i
\(646\) 57.3130 + 32.2012i 0.0887198 + 0.0498471i
\(647\) −411.469 566.339i −0.635965 0.875331i 0.362427 0.932012i \(-0.381948\pi\)
−0.998392 + 0.0566814i \(0.981948\pi\)
\(648\) 644.544 160.845i 0.994667 0.248217i
\(649\) 50.5319 + 155.521i 0.0778612 + 0.239632i
\(650\) −276.829 + 3.24030i −0.425891 + 0.00498508i
\(651\) −910.592 29.8871i −1.39876 0.0459096i
\(652\) 22.5829 + 964.532i 0.0346363 + 1.47934i
\(653\) −105.553 324.860i −0.161644 0.497489i 0.837129 0.547005i \(-0.184232\pi\)
−0.998773 + 0.0495161i \(0.984232\pi\)
\(654\) 183.854 + 817.781i 0.281123 + 1.25043i
\(655\) 47.0790 + 64.7987i 0.0718764 + 0.0989294i
\(656\) −227.584 + 440.606i −0.346927 + 0.671655i
\(657\) 1.75100 + 3.03282i 0.00266515 + 0.00461617i
\(658\) −1010.95 435.999i −1.53640 0.662613i
\(659\) −309.361 + 425.799i −0.469440 + 0.646129i −0.976433 0.215821i \(-0.930757\pi\)
0.506993 + 0.861950i \(0.330757\pi\)
\(660\) 61.1439 28.9564i 0.0926422 0.0438734i
\(661\) −748.680 159.137i −1.13265 0.240752i −0.396804 0.917903i \(-0.629881\pi\)
−0.735843 + 0.677152i \(0.763214\pi\)
\(662\) −267.064 + 31.2340i −0.403420 + 0.0471812i
\(663\) 213.326 + 192.080i 0.321759 + 0.289713i
\(664\) −697.591 + 673.935i −1.05059 + 1.01496i
\(665\) −8.33696 + 79.3209i −0.0125368 + 0.119279i
\(666\) 2.74233 8.78872i 0.00411761 0.0131963i
\(667\) 153.547 + 49.8904i 0.230205 + 0.0747982i
\(668\) −432.410 35.2372i −0.647320 0.0527504i
\(669\) −538.920 598.531i −0.805560 0.894665i
\(670\) −425.246 373.975i −0.634696 0.558171i
\(671\) −35.8527 + 3.76827i −0.0534317 + 0.00561590i
\(672\) −929.782 141.395i −1.38360 0.210409i
\(673\) 767.612 341.763i 1.14058 0.507820i 0.252542 0.967586i \(-0.418733\pi\)
0.888040 + 0.459766i \(0.152067\pi\)
\(674\) −177.668 125.933i −0.263602 0.186844i
\(675\) −181.634 + 407.956i −0.269087 + 0.604379i
\(676\) 209.737 + 344.398i 0.310262 + 0.509464i
\(677\) 661.960 1146.55i 0.977785 1.69357i 0.307363 0.951592i \(-0.400553\pi\)
0.670421 0.741981i \(-0.266113\pi\)
\(678\) 184.352 + 247.592i 0.271905 + 0.365180i
\(679\) 208.916 + 982.874i 0.307682 + 1.44753i
\(680\) 89.8925 + 246.819i 0.132195 + 0.362969i
\(681\) 68.9816 0.101295
\(682\) −68.6109 98.7522i −0.100603 0.144798i
\(683\) 534.518i 0.782604i −0.920262 0.391302i \(-0.872025\pi\)
0.920262 0.391302i \(-0.127975\pi\)
\(684\) 2.52165 0.885109i 0.00368663 0.00129402i
\(685\) 428.221 91.0212i 0.625141 0.132878i
\(686\) −51.3442 68.9573i −0.0748458 0.100521i
\(687\) −898.924 518.994i −1.30848 0.755449i
\(688\) −748.987 + 480.517i −1.08864 + 0.698427i
\(689\) 685.405 + 305.162i 0.994783 + 0.442906i
\(690\) 108.178 + 76.6775i 0.156779 + 0.111127i
\(691\) 454.081 + 1019.88i 0.657136 + 1.47595i 0.867045 + 0.498230i \(0.166017\pi\)
−0.209909 + 0.977721i \(0.567317\pi\)
\(692\) 976.309 + 183.748i 1.41085 + 0.265531i
\(693\) 0.455994 + 4.33849i 0.000658000 + 0.00626045i
\(694\) 254.693 + 223.984i 0.366992 + 0.322744i
\(695\) −113.582 + 102.269i −0.163427 + 0.147150i
\(696\) 514.965 + 35.9028i 0.739893 + 0.0515844i
\(697\) −109.576 + 337.239i −0.157210 + 0.483843i
\(698\) 263.393 844.134i 0.377354 1.20936i
\(699\) −1097.73 115.376i −1.57043 0.165059i
\(700\) 471.677 445.128i 0.673825 0.635896i
\(701\) −337.218 + 374.518i −0.481052 + 0.534262i −0.933999 0.357275i \(-0.883706\pi\)
0.452947 + 0.891537i \(0.350373\pi\)
\(702\) −436.996 + 51.1081i −0.622502 + 0.0728035i
\(703\) −11.8248 + 55.6315i −0.0168205 + 0.0791344i
\(704\) −58.3192 109.573i −0.0828398 0.155643i
\(705\) 401.526 + 291.725i 0.569540 + 0.413795i
\(706\) −564.839 243.602i −0.800056 0.345045i
\(707\) 509.505 294.163i 0.720658 0.416072i
\(708\) −491.464 + 899.213i −0.694158 + 1.27007i
\(709\) 320.636 232.956i 0.452237 0.328570i −0.338241 0.941059i \(-0.609832\pi\)
0.790478 + 0.612490i \(0.209832\pi\)
\(710\) −0.201255 0.895180i −0.000283458 0.00126082i
\(711\) 33.2959 10.8185i 0.0468296 0.0152159i
\(712\) 1276.06 44.8255i 1.79222 0.0629572i
\(713\) 102.869 212.041i 0.144277 0.297392i
\(714\) −672.425 + 7.87077i −0.941771 + 0.0110235i
\(715\) −43.7161 + 14.2042i −0.0611414 + 0.0198661i
\(716\) −88.2675 372.201i −0.123279 0.519834i
\(717\) 509.937 370.491i 0.711209 0.516724i
\(718\) 889.646 + 499.846i 1.23906 + 0.696165i
\(719\) 338.454 195.406i 0.470729 0.271775i −0.245816 0.969316i \(-0.579056\pi\)
0.716545 + 0.697541i \(0.245723\pi\)
\(720\) 9.94793 + 3.88204i 0.0138166 + 0.00539172i
\(721\) −730.023 530.393i −1.01252 0.735635i
\(722\) 641.095 294.473i 0.887943 0.407857i
\(723\) −174.429 + 820.624i −0.241257 + 1.13503i
\(724\) −41.1925 319.731i −0.0568957 0.441618i
\(725\) −238.199 + 264.547i −0.328550 + 0.364892i
\(726\) 523.845 482.893i 0.721550 0.665142i
\(727\) 702.885 + 73.8762i 0.966829 + 0.101618i 0.574764 0.818319i \(-0.305094\pi\)
0.392065 + 0.919937i \(0.371761\pi\)
\(728\) 614.265 + 176.000i 0.843771 + 0.241758i
\(729\) −219.156 + 674.492i −0.300625 + 0.925229i
\(730\) 8.02892 86.0693i 0.0109985 0.117903i
\(731\) −472.857 + 425.763i −0.646863 + 0.582438i
\(732\) −171.379 147.195i −0.234125 0.201086i
\(733\) 8.03703 + 76.4672i 0.0109646 + 0.104321i 0.998635 0.0522241i \(-0.0166310\pi\)
−0.987671 + 0.156545i \(0.949964\pi\)
\(734\) −29.0216 + 144.852i −0.0395390 + 0.197347i
\(735\) −158.040 354.963i −0.215020 0.482942i
\(736\) 131.239 204.843i 0.178314 0.278320i
\(737\) 174.800 + 77.8258i 0.237177 + 0.105598i
\(738\) 7.35318 + 12.3987i 0.00996366 + 0.0168003i
\(739\) 317.164 + 183.115i 0.429180 + 0.247787i 0.698997 0.715124i \(-0.253630\pi\)
−0.269817 + 0.962912i \(0.586963\pi\)
\(740\) −180.676 + 137.844i −0.244157 + 0.186276i
\(741\) −70.5145 + 14.9883i −0.0951612 + 0.0202271i
\(742\) −1665.10 + 562.655i −2.24407 + 0.758295i
\(743\) 1011.32i 1.36114i −0.732684 0.680569i \(-0.761733\pi\)
0.732684 0.680569i \(-0.238267\pi\)
\(744\) 154.974 737.443i 0.208298 0.991186i
\(745\) −381.370 −0.511906
\(746\) 184.297 + 545.402i 0.247046 + 0.731102i
\(747\) 5.86202 + 27.5786i 0.00784742 + 0.0369192i
\(748\) −53.8352 70.5633i −0.0719722 0.0943360i
\(749\) −806.874 + 1397.55i −1.07727 + 1.86588i
\(750\) −626.505 + 371.557i −0.835341 + 0.495410i
\(751\) −352.029 + 790.670i −0.468747 + 1.05282i 0.512256 + 0.858833i \(0.328810\pi\)
−0.981003 + 0.193990i \(0.937857\pi\)
\(752\) 500.172 760.932i 0.665123 1.01188i
\(753\) −378.846 + 168.673i −0.503115 + 0.224001i
\(754\) −343.896 68.9006i −0.456096 0.0913801i
\(755\) 754.049 79.2537i 0.998740 0.104972i
\(756\) 671.551 781.888i 0.888295 1.03424i
\(757\) −420.268 466.754i −0.555175 0.616584i 0.398593 0.917128i \(-0.369499\pi\)
−0.953768 + 0.300544i \(0.902832\pi\)
\(758\) 1235.81 + 115.281i 1.63035 + 0.152086i
\(759\) −42.6094 13.8446i −0.0561389 0.0182406i
\(760\) −63.4155 18.1699i −0.0834414 0.0239077i
\(761\) −91.6437 + 871.931i −0.120425 + 1.14577i 0.752730 + 0.658329i \(0.228736\pi\)
−0.873156 + 0.487441i \(0.837930\pi\)
\(762\) 369.492 + 400.827i 0.484897 + 0.526019i
\(763\) 991.431 + 892.689i 1.29939 + 1.16997i
\(764\) −945.528 + 121.817i −1.23760 + 0.159446i
\(765\) 7.46868 + 1.58752i 0.00976299 + 0.00207519i
\(766\) −571.074 1243.28i −0.745527 1.62308i
\(767\) 409.243 563.274i 0.533563 0.734386i
\(768\) 248.556 737.078i 0.323641 0.959737i
\(769\) 210.863 + 365.225i 0.274204 + 0.474935i 0.969934 0.243368i \(-0.0782524\pi\)
−0.695730 + 0.718303i \(0.744919\pi\)
\(770\) 52.7451 93.8779i 0.0685002 0.121919i
\(771\) −79.6696 109.656i −0.103333 0.142225i
\(772\) 318.490 75.5300i 0.412552 0.0978368i
\(773\) −59.0082 181.609i −0.0763366 0.234940i 0.905606 0.424121i \(-0.139417\pi\)
−0.981942 + 0.189181i \(0.939417\pi\)
\(774\) 0.302752 + 25.8651i 0.000391153 + 0.0334174i
\(775\) 334.858 + 397.373i 0.432075 + 0.512740i
\(776\) −830.578 + 29.1765i −1.07033 + 0.0375986i
\(777\) −179.781 553.310i −0.231379 0.712110i
\(778\) 173.166 38.9314i 0.222578 0.0500403i
\(779\) −52.3423 72.0430i −0.0671916 0.0924813i
\(780\) −252.764 138.148i −0.324056 0.177112i
\(781\) 0.155008 + 0.268482i 0.000198474 + 0.000343767i
\(782\) 68.8882 159.731i 0.0880923 0.204260i
\(783\) −332.532 + 457.691i −0.424689 + 0.584535i
\(784\) −636.976 + 320.121i −0.812469 + 0.408318i
\(785\) 263.671 + 56.0450i 0.335887 + 0.0713949i
\(786\) −19.7003 168.446i −0.0250641 0.214308i
\(787\) −449.433 404.671i −0.571071 0.514195i 0.332232 0.943198i \(-0.392198\pi\)
−0.903303 + 0.429003i \(0.858865\pi\)
\(788\) −455.026 482.166i −0.577445 0.611886i
\(789\) −14.8576 + 141.361i −0.0188310 + 0.179165i
\(790\) −824.940 257.404i −1.04423 0.325828i
\(791\) 467.271 + 151.825i 0.590734 + 0.191941i
\(792\) −3.59937 0.250944i −0.00454465 0.000316848i
\(793\) 102.706 + 114.067i 0.129516 + 0.143842i
\(794\) 728.141 827.969i 0.917054 1.04278i
\(795\) 787.983 82.8203i 0.991174 0.104177i
\(796\) 92.8855 493.530i 0.116690 0.620012i
\(797\) −1091.91 + 486.150i −1.37003 + 0.609975i −0.954118 0.299432i \(-0.903203\pi\)
−0.415908 + 0.909407i \(0.636536\pi\)
\(798\) 97.6588 137.779i 0.122379 0.172655i
\(799\) 264.830 594.819i 0.331452 0.744454i
\(800\) 294.918 + 448.064i 0.368647 + 0.560080i
\(801\) 18.5577 32.1429i 0.0231682 0.0401285i
\(802\) 864.264 643.513i 1.07764 0.802385i
\(803\) 6.07261 + 28.5694i 0.00756240 + 0.0355783i
\(804\) 397.126 + 1131.40i 0.493938 + 1.40722i
\(805\) 211.046 0.262169
\(806\) −168.452 + 483.477i −0.208997 + 0.599847i
\(807\) 374.124i 0.463598i
\(808\) 166.522 + 457.221i 0.206091 + 0.565867i
\(809\) 551.642 117.255i 0.681882 0.144938i 0.146068 0.989275i \(-0.453338\pi\)
0.535814 + 0.844336i \(0.320005\pi\)
\(810\) −382.312 + 284.662i −0.471990 + 0.351434i
\(811\) −467.240 269.761i −0.576128 0.332628i 0.183465 0.983026i \(-0.441269\pi\)
−0.759593 + 0.650398i \(0.774602\pi\)
\(812\) 701.740 427.357i 0.864212 0.526302i
\(813\) 283.964 + 126.429i 0.349279 + 0.155509i
\(814\) 44.4033 62.6449i 0.0545496 0.0769594i
\(815\) −281.564 632.402i −0.345477 0.775954i
\(816\) 90.0513 548.858i 0.110357 0.672620i
\(817\) −16.7030 158.918i −0.0204443 0.194514i
\(818\) −124.948 + 142.078i −0.152748 + 0.173689i
\(819\) 13.8031 12.4284i 0.0168536 0.0151751i
\(820\) 28.9002 354.645i 0.0352441 0.432494i
\(821\) 183.282 564.084i 0.223242 0.687069i −0.775223 0.631688i \(-0.782363\pi\)
0.998465 0.0553814i \(-0.0176375\pi\)
\(822\) −884.895 276.112i −1.07652 0.335903i
\(823\) 1240.12 + 130.341i 1.50682 + 0.158374i 0.821644 0.570001i \(-0.193057\pi\)
0.685179 + 0.728374i \(0.259724\pi\)
\(824\) 536.761 518.559i 0.651409 0.629319i
\(825\) 66.1005 73.4120i 0.0801218 0.0889843i
\(826\) 189.464 + 1620.00i 0.229375 + 1.96125i
\(827\) 163.092 767.288i 0.197209 0.927797i −0.762540 0.646941i \(-0.776048\pi\)
0.959750 0.280857i \(-0.0906186\pi\)
\(828\) −3.02671 6.39115i −0.00365545 0.00771878i
\(829\) −419.762 304.975i −0.506348 0.367883i 0.305089 0.952324i \(-0.401314\pi\)
−0.811436 + 0.584441i \(0.801314\pi\)
\(830\) 275.610 639.057i 0.332060 0.769948i
\(831\) −310.967 + 179.537i −0.374208 + 0.216049i
\(832\) −231.482 + 475.107i −0.278223 + 0.571042i
\(833\) −412.391 + 299.619i −0.495067 + 0.359687i
\(834\) 315.741 70.9851i 0.378586 0.0851140i
\(835\) 296.051 96.1929i 0.354552 0.115201i
\(836\) 22.2831 0.521721i 0.0266544 0.000624068i
\(837\) 595.261 + 572.430i 0.711184 + 0.683907i
\(838\) 4.94370 + 422.356i 0.00589941 + 0.504005i
\(839\) −682.759 + 221.842i −0.813777 + 0.264412i −0.686197 0.727416i \(-0.740721\pi\)
−0.127580 + 0.991828i \(0.540721\pi\)
\(840\) 654.720 163.384i 0.779428 0.194505i
\(841\) 315.530 229.246i 0.375185 0.272588i
\(842\) 60.1814 107.113i 0.0714743 0.127213i
\(843\) 955.674 551.759i 1.13366 0.654518i
\(844\) 63.8674 152.989i 0.0756722 0.181267i
\(845\) −234.070 170.062i −0.277005 0.201256i
\(846\) −11.0483 24.0532i −0.0130595 0.0284317i
\(847\) 235.768 1109.20i 0.278356 1.30956i
\(848\) −219.448 1437.04i −0.258783 1.69462i
\(849\) 945.847 1050.47i 1.11407 1.23730i
\(850\) 259.966 + 282.012i 0.305842 + 0.331779i
\(851\) 149.670 + 15.7309i 0.175875 + 0.0184852i
\(852\) −0.556935 + 1.86123i −0.000653679 + 0.00218454i
\(853\) −75.7768 + 233.217i −0.0888357 + 0.273408i −0.985598 0.169104i \(-0.945913\pi\)
0.896763 + 0.442512i \(0.145913\pi\)
\(854\) −358.020 33.3976i −0.419227 0.0391073i
\(855\) −1.42500 + 1.28308i −0.00166667 + 0.00150068i
\(856\) −1022.63 857.730i −1.19466 1.00202i
\(857\) −48.7219 463.558i −0.0568517 0.540908i −0.985467 0.169865i \(-0.945667\pi\)
0.928616 0.371043i \(-0.121000\pi\)
\(858\) 95.4316 + 19.1200i 0.111226 + 0.0222844i
\(859\) 687.025 + 1543.08i 0.799796 + 1.79637i 0.566715 + 0.823914i \(0.308214\pi\)
0.233081 + 0.972457i \(0.425119\pi\)
\(860\) 363.104 525.196i 0.422214 0.610693i
\(861\) 832.166 + 370.504i 0.966511 + 0.430318i
\(862\) −150.812 + 89.4408i −0.174956 + 0.103760i
\(863\) 912.198 + 526.658i 1.05701 + 0.610264i 0.924603 0.380932i \(-0.124397\pi\)
0.132405 + 0.991196i \(0.457730\pi\)
\(864\) 540.556 + 659.183i 0.625643 + 0.762943i
\(865\) −697.233 + 148.201i −0.806050 + 0.171331i
\(866\) −193.607 572.955i −0.223565 0.661611i
\(867\) 480.430i 0.554129i
\(868\) −477.510 1100.23i −0.550127 1.26754i
\(869\) 291.987 0.336004
\(870\) −350.897 + 118.572i −0.403330 + 0.136289i
\(871\) −169.382 796.881i −0.194469 0.914904i
\(872\) −869.372 + 679.518i −0.996986 + 0.779263i
\(873\) −12.0791 + 20.9215i −0.0138363 + 0.0239651i
\(874\) 22.2839 + 37.5742i 0.0254965 + 0.0429911i
\(875\) −471.549 + 1059.12i −0.538913 + 1.21042i
\(876\) −104.089 + 150.556i −0.118823 + 0.171867i
\(877\) −1230.32 + 547.773i −1.40287 + 0.624598i −0.962019 0.272982i \(-0.911990\pi\)
−0.440852 + 0.897580i \(0.645324\pi\)
\(878\) −150.537 + 751.360i −0.171455 + 0.855764i
\(879\) 957.138 100.599i 1.08889 0.114447i
\(880\) 68.9024 + 56.4312i 0.0782982 + 0.0641264i
\(881\) −927.551 1030.15i −1.05284 1.16930i −0.985169 0.171588i \(-0.945110\pi\)
−0.0676697 0.997708i \(-0.521556\pi\)
\(882\) −1.92471 + 20.6328i −0.00218222 + 0.0233931i
\(883\) 262.196 + 85.1925i 0.296937 + 0.0964807i 0.453697 0.891156i \(-0.350105\pi\)
−0.156760 + 0.987637i \(0.550105\pi\)
\(884\) −108.331 + 362.034i −0.122547 + 0.409541i
\(885\) 76.8567 731.243i 0.0868437 0.826263i
\(886\) −277.899 + 256.174i −0.313655 + 0.289135i
\(887\) 589.816 + 531.073i 0.664956 + 0.598729i 0.930906 0.365258i \(-0.119019\pi\)
−0.265951 + 0.963987i \(0.585686\pi\)
\(888\) 476.493 67.0674i 0.536592 0.0755263i
\(889\) 848.718 + 180.401i 0.954688 + 0.202925i
\(890\) −832.528 + 382.403i −0.935424 + 0.429666i
\(891\) 94.6639 130.294i 0.106245 0.146233i
\(892\) 408.457 978.425i 0.457911 1.09689i
\(893\) 81.7574 + 141.608i 0.0915537 + 0.158576i
\(894\) 704.004 + 395.544i 0.787477 + 0.442442i
\(895\) 161.326 + 222.047i 0.180253 + 0.248097i
\(896\) −355.655 1185.89i −0.396937 1.32353i
\(897\) 58.9468 + 181.420i 0.0657155 + 0.202252i
\(898\) −37.7939 + 0.442380i −0.0420868 + 0.000492628i
\(899\) 310.284 + 580.619i 0.345143 + 0.645850i
\(900\) 15.5881 0.364970i 0.0173202 0.000405522i
\(901\) −321.206 988.571i −0.356500 1.09719i
\(902\) 26.3711 + 117.298i 0.0292362 + 0.130042i
\(903\) 960.780 + 1322.40i 1.06399 + 1.46445i
\(904\) −190.703 + 358.839i −0.210954 + 0.396946i
\(905\) 115.653 + 200.317i 0.127794 + 0.221345i
\(906\) −1474.16 635.772i −1.62711 0.701735i
\(907\) −486.039 + 668.976i −0.535876 + 0.737570i −0.988012 0.154379i \(-0.950662\pi\)
0.452136 + 0.891949i \(0.350662\pi\)
\(908\) 38.8673 + 82.0716i 0.0428054 + 0.0903872i
\(909\) 13.8354 + 2.94080i 0.0152205 + 0.00323521i
\(910\) −455.372 + 53.2572i −0.500409 + 0.0585244i
\(911\) −1007.69 907.329i −1.10614 0.995971i −0.999999 0.00161920i \(-0.999485\pi\)
−0.106139 0.994351i \(-0.533849\pi\)
\(912\) 98.2190 + 99.3137i 0.107696 + 0.108897i
\(913\) −24.5800 + 233.864i −0.0269223 + 0.256148i
\(914\) 124.937 400.402i 0.136692 0.438077i
\(915\) 154.162 + 50.0903i 0.168483 + 0.0547435i
\(916\) 110.984 1361.93i 0.121162 1.48682i
\(917\) −180.621 200.600i −0.196969 0.218756i
\(918\) 457.729 + 402.541i 0.498616 + 0.438498i
\(919\) −1100.90 + 115.709i −1.19793 + 0.125908i −0.682410 0.730970i \(-0.739068\pi\)
−0.515520 + 0.856877i \(0.672401\pi\)
\(920\) −30.2756 + 171.909i −0.0329082 + 0.186858i
\(921\) 938.840 417.999i 1.01937 0.453853i
\(922\) −321.762 228.068i −0.348983 0.247362i
\(923\) 0.536879 1.20585i 0.000581667 0.00130645i
\(924\) −194.734 + 118.592i −0.210751 + 0.128346i
\(925\) −165.915 + 287.373i −0.179367 + 0.310673i
\(926\) 707.262 + 949.881i 0.763782 + 1.02579i
\(927\) −4.51053 21.2204i −0.00486573 0.0228914i
\(928\) 247.439 + 632.914i 0.266637 + 0.682020i
\(929\) −622.737 −0.670330 −0.335165 0.942159i \(-0.608792\pi\)
−0.335165 + 0.942159i \(0.608792\pi\)
\(930\) 101.228 + 531.119i 0.108847 + 0.571096i
\(931\) 128.013i 0.137501i
\(932\) −481.241 1371.04i −0.516353 1.47108i
\(933\) −539.195 + 114.609i −0.577915 + 0.122840i
\(934\) 602.585 + 809.296i 0.645166 + 0.866484i
\(935\) 55.1506 + 31.8412i 0.0589846 + 0.0340548i
\(936\) 8.14351 + 13.0263i 0.00870033 + 0.0139170i
\(937\) 1324.95 + 589.906i 1.41403 + 0.629569i 0.964593 0.263741i \(-0.0849565\pi\)
0.449441 + 0.893310i \(0.351623\pi\)
\(938\) 1557.03 + 1103.64i 1.65995 + 1.17659i
\(939\) −319.656 717.958i −0.340421 0.764599i
\(940\) −120.846 + 642.091i −0.128559 + 0.683075i
\(941\) 166.541 + 1584.53i 0.176983 + 1.68388i 0.617842 + 0.786302i \(0.288007\pi\)
−0.440860 + 0.897576i \(0.645326\pi\)
\(942\) −428.606 376.929i −0.454995 0.400137i
\(943\) −175.110 + 157.670i −0.185695 + 0.167200i
\(944\) −1346.76 78.0669i −1.42665 0.0826980i
\(945\) −228.528 + 703.337i −0.241829 + 0.744272i
\(946\) −64.2602 + 205.944i −0.0679283 + 0.217700i
\(947\) 517.832 + 54.4264i 0.546814 + 0.0574724i 0.373908 0.927466i \(-0.378018\pi\)
0.172906 + 0.984938i \(0.444684\pi\)
\(948\) 1255.86 + 1330.76i 1.32475 + 1.40376i
\(949\) 83.2120 92.4163i 0.0876839 0.0973828i
\(950\) −95.6706 + 11.1890i −0.100706 + 0.0117779i
\(951\) −351.448 + 1653.43i −0.369556 + 1.73862i
\(952\) −388.239 795.589i −0.407814 0.835703i
\(953\) 277.896 + 201.903i 0.291601 + 0.211860i 0.723962 0.689840i \(-0.242319\pi\)
−0.432361 + 0.901701i \(0.642319\pi\)
\(954\) −38.8013 16.7341i −0.0406722 0.0175410i
\(955\) 592.390 342.016i 0.620303 0.358132i
\(956\) 728.117 + 397.952i 0.761629 + 0.416267i
\(957\) 101.247 73.5604i 0.105796 0.0768656i
\(958\) −291.258 1295.51i −0.304027 1.35231i
\(959\) −1403.19 + 455.925i −1.46318 + 0.475418i
\(960\) 39.1630 + 556.745i 0.0407948 + 0.579943i
\(961\) 901.658 332.465i 0.938250 0.345958i
\(962\) −326.911 + 3.82651i −0.339824 + 0.00397766i
\(963\) −36.8987 + 11.9891i −0.0383164 + 0.0124498i
\(964\) −1074.63 + 254.848i −1.11476 + 0.264365i
\(965\) −190.004 + 138.046i −0.196895 + 0.143053i
\(966\) −389.589 218.890i −0.403301 0.226594i
\(967\) −495.886 + 286.300i −0.512808 + 0.296070i −0.733987 0.679163i \(-0.762343\pi\)
0.221179 + 0.975233i \(0.429010\pi\)
\(968\) 869.685 + 351.166i 0.898435 + 0.362775i
\(969\) 80.8008 + 58.7052i 0.0833858 + 0.0605833i
\(970\) 541.885 248.903i 0.558644 0.256601i
\(971\) 20.7813 97.7683i 0.0214020 0.100688i −0.966150 0.257980i \(-0.916943\pi\)
0.987552 + 0.157292i \(0.0502764\pi\)
\(972\) 49.8053 6.41665i 0.0512401 0.00660149i
\(973\) 344.662 382.786i 0.354226 0.393408i
\(974\) −793.410 + 731.385i −0.814590 + 0.750909i
\(975\) −418.299 43.9650i −0.429025 0.0450923i
\(976\) 78.5639 286.837i 0.0804958 0.293890i
\(977\) 374.979 1154.07i 0.383807 1.18124i −0.553535 0.832826i \(-0.686722\pi\)
0.937342 0.348410i \(-0.113278\pi\)
\(978\) −136.143 + 1459.43i −0.139205 + 1.49226i
\(979\) 230.042 207.131i 0.234977 0.211574i
\(980\) 333.274 388.031i 0.340075 0.395950i
\(981\) 3.35269 + 31.8987i 0.00341762 + 0.0325165i
\(982\) 124.400 620.904i 0.126680 0.632285i
\(983\) −439.796 987.797i −0.447401 1.00488i −0.986668 0.162745i \(-0.947965\pi\)
0.539267 0.842135i \(-0.318701\pi\)
\(984\) −421.175 + 624.697i −0.428024 + 0.634855i
\(985\) 434.564 + 193.480i 0.441182 + 0.196427i
\(986\) 247.865 + 417.940i 0.251384 + 0.423874i
\(987\) −1448.55 836.321i −1.46763 0.847337i
\(988\) −57.5636 75.4502i −0.0582627 0.0763666i
\(989\) −413.588 + 87.9108i −0.418188 + 0.0888886i
\(990\) 2.45261 0.828761i 0.00247738 0.000837132i
\(991\) 1151.74i 1.16220i −0.813831 0.581101i \(-0.802622\pi\)
0.813831 0.581101i \(-0.197378\pi\)
\(992\) 964.699 231.127i 0.972479 0.232991i
\(993\) −408.504 −0.411383
\(994\) 0.989892 + 2.92945i 0.000995867 + 0.00294714i
\(995\) 74.9167 + 352.455i 0.0752932 + 0.354226i
\(996\) −1171.58 + 893.838i −1.17628 + 0.897428i
\(997\) 117.117 202.853i 0.117470 0.203464i −0.801295 0.598270i \(-0.795855\pi\)
0.918764 + 0.394806i \(0.129188\pi\)
\(998\) −964.904 + 572.249i −0.966838 + 0.573396i
\(999\) −214.493 + 481.760i −0.214708 + 0.482242i
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 124.3.n.a.7.19 yes 240
4.3 odd 2 inner 124.3.n.a.7.17 240
31.9 even 15 inner 124.3.n.a.71.17 yes 240
124.71 odd 30 inner 124.3.n.a.71.19 yes 240
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
124.3.n.a.7.17 240 4.3 odd 2 inner
124.3.n.a.7.19 yes 240 1.1 even 1 trivial
124.3.n.a.71.17 yes 240 31.9 even 15 inner
124.3.n.a.71.19 yes 240 124.71 odd 30 inner