Properties

Label 930.2.bo.b.179.11
Level $930$
Weight $2$
Character 930.179
Analytic conductor $7.426$
Analytic rank $0$
Dimension $256$
CM no
Inner twists $4$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [930,2,Mod(179,930)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(930, base_ring=CyclotomicField(30))
 
chi = DirichletCharacter(H, H._module([15, 15, 13]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("930.179");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 930.bo (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: \(7.42608738798\)
Analytic rank: \(0\)
Dimension: \(256\)
Relative dimension: \(32\) over \(\Q(\zeta_{30})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label 179.11
Character \(\chi\) \(=\) 930.179
Dual form 930.2.bo.b.239.11

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.309017 - 0.951057i) q^{2} +(-0.955557 + 1.44461i) q^{3} +(-0.809017 + 0.587785i) q^{4} +(-1.43804 - 1.71232i) q^{5} +(1.66919 + 0.462379i) q^{6} +(0.429946 - 0.965674i) q^{7} +(0.809017 + 0.587785i) q^{8} +(-1.17382 - 2.76082i) q^{9} +O(q^{10})\) \(q+(-0.309017 - 0.951057i) q^{2} +(-0.955557 + 1.44461i) q^{3} +(-0.809017 + 0.587785i) q^{4} +(-1.43804 - 1.71232i) q^{5} +(1.66919 + 0.462379i) q^{6} +(0.429946 - 0.965674i) q^{7} +(0.809017 + 0.587785i) q^{8} +(-1.17382 - 2.76082i) q^{9} +(-1.18414 + 1.89679i) q^{10} +(0.584057 + 5.55693i) q^{11} +(-0.0760609 - 1.73038i) q^{12} +(-2.93994 - 3.26513i) q^{13} +(-1.05127 - 0.110493i) q^{14} +(3.84777 - 0.441189i) q^{15} +(0.309017 - 0.951057i) q^{16} +(0.0324214 + 0.00340762i) q^{17} +(-2.26297 + 1.96951i) q^{18} +(1.05030 - 1.16647i) q^{19} +(2.16987 + 0.540040i) q^{20} +(0.984189 + 1.54386i) q^{21} +(5.10447 - 2.27266i) q^{22} +(0.578782 - 0.796625i) q^{23} +(-1.62219 + 0.607055i) q^{24} +(-0.864091 + 4.92477i) q^{25} +(-2.19684 + 3.80503i) q^{26} +(5.10998 + 0.942407i) q^{27} +(0.219776 + 1.03396i) q^{28} +(1.00735 + 3.10030i) q^{29} +(-1.60862 - 3.52311i) q^{30} +(3.07211 + 4.64350i) q^{31} -1.00000 q^{32} +(-8.58573 - 4.46623i) q^{33} +(-0.00677791 - 0.0318876i) q^{34} +(-2.27182 + 0.652471i) q^{35} +(2.57241 + 1.54360i) q^{36} +(-1.42036 - 2.46013i) q^{37} +(-1.43394 - 0.638432i) q^{38} +(7.52614 - 1.12706i) q^{39} +(-0.156920 - 2.23056i) q^{40} +(-1.80242 + 8.47972i) q^{41} +(1.16417 - 1.41310i) q^{42} +(5.69234 - 6.32198i) q^{43} +(-3.73880 - 4.15235i) q^{44} +(-3.03942 + 5.98013i) q^{45} +(-0.936489 - 0.304284i) q^{46} +(-3.53808 + 10.8891i) q^{47} +(1.07863 + 1.35520i) q^{48} +(3.93624 + 4.37164i) q^{49} +(4.95075 - 0.700037i) q^{50} +(-0.0359032 + 0.0435802i) q^{51} +(4.29766 + 0.913495i) q^{52} +(1.08215 + 2.43056i) q^{53} +(-0.682788 - 5.15110i) q^{54} +(8.67536 - 8.99118i) q^{55} +(0.915443 - 0.528531i) q^{56} +(0.681485 + 2.63191i) q^{57} +(2.63727 - 1.91609i) q^{58} +(1.84893 + 8.69853i) q^{59} +(-2.85359 + 2.61859i) q^{60} +0.250467i q^{61} +(3.46690 - 4.35667i) q^{62} +(-3.17074 - 0.0534763i) q^{63} +(0.309017 + 0.951057i) q^{64} +(-1.36321 + 9.72951i) q^{65} +(-1.59450 + 9.54565i) q^{66} +(5.05661 + 2.91944i) q^{67} +(-0.0282324 + 0.0163000i) q^{68} +(0.597756 + 1.59734i) q^{69} +(1.32257 + 1.95901i) q^{70} +(1.96994 + 4.42456i) q^{71} +(0.673130 - 2.92351i) q^{72} +(0.618634 + 5.88591i) q^{73} +(-1.90081 + 2.11106i) q^{74} +(-6.28870 - 5.95418i) q^{75} +(-0.164073 + 1.56105i) q^{76} +(5.61730 + 1.82517i) q^{77} +(-3.39760 - 6.80950i) q^{78} +(1.25402 + 0.131803i) q^{79} +(-2.07289 + 0.838519i) q^{80} +(-6.24429 + 6.48142i) q^{81} +(8.62167 - 0.906174i) q^{82} +(-1.73950 + 8.18370i) q^{83} +(-1.70369 - 0.670520i) q^{84} +(-0.0407882 - 0.0604161i) q^{85} +(-7.77159 - 3.46013i) q^{86} +(-5.44131 - 1.50728i) q^{87} +(-2.79377 + 4.83895i) q^{88} +(-3.24086 + 2.35462i) q^{89} +(6.62667 + 1.04270i) q^{90} +(-4.41707 + 1.43519i) q^{91} +0.984682i q^{92} +(-9.64365 + 0.000879429i) q^{93} +11.4495 q^{94} +(-3.50775 - 0.121014i) q^{95} +(0.955557 - 1.44461i) q^{96} +(3.22614 + 4.44041i) q^{97} +(2.94131 - 5.09450i) q^{98} +(14.6561 - 8.13532i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 256 q + 64 q^{2} - 64 q^{4} + 2 q^{5} + 64 q^{8} + 4 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 256 q + 64 q^{2} - 64 q^{4} + 2 q^{5} + 64 q^{8} + 4 q^{9} - 2 q^{10} - 10 q^{15} - 64 q^{16} + 6 q^{17} + 6 q^{18} - 4 q^{19} - 3 q^{20} - 20 q^{23} - 2 q^{25} + 42 q^{31} - 256 q^{32} - 8 q^{33} + 14 q^{34} + 16 q^{35} + 4 q^{36} - 36 q^{38} + 8 q^{39} + 3 q^{40} + 55 q^{45} - 10 q^{46} + 6 q^{47} - 40 q^{49} + 7 q^{50} + 68 q^{51} + 34 q^{53} + 6 q^{57} + 10 q^{60} - 2 q^{62} + 72 q^{63} - 64 q^{64} + 8 q^{66} + 6 q^{68} + 10 q^{69} - 16 q^{70} + 6 q^{72} - 80 q^{75} - 24 q^{76} - 100 q^{77} - 8 q^{78} + 40 q^{79} + 2 q^{80} + 12 q^{81} + 26 q^{83} - 30 q^{85} - 16 q^{87} - 25 q^{90} - 20 q^{91} + 22 q^{93} + 4 q^{94} - 56 q^{95} - 130 q^{98} + 102 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/930\mathbb{Z}\right)^\times\).

\(n\) \(187\) \(311\) \(871\)
\(\chi(n)\) \(-1\) \(-1\) \(e\left(\frac{13}{30}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.309017 0.951057i −0.218508 0.672499i
\(3\) −0.955557 + 1.44461i −0.551691 + 0.834048i
\(4\) −0.809017 + 0.587785i −0.404508 + 0.293893i
\(5\) −1.43804 1.71232i −0.643110 0.765774i
\(6\) 1.66919 + 0.462379i 0.681445 + 0.188765i
\(7\) 0.429946 0.965674i 0.162504 0.364991i −0.813880 0.581034i \(-0.802648\pi\)
0.976384 + 0.216043i \(0.0693151\pi\)
\(8\) 0.809017 + 0.587785i 0.286031 + 0.207813i
\(9\) −1.17382 2.76082i −0.391274 0.920274i
\(10\) −1.18414 + 1.89679i −0.374457 + 0.599818i
\(11\) 0.584057 + 5.55693i 0.176100 + 1.67548i 0.624023 + 0.781406i \(0.285497\pi\)
−0.447923 + 0.894072i \(0.647836\pi\)
\(12\) −0.0760609 1.73038i −0.0219569 0.499518i
\(13\) −2.93994 3.26513i −0.815392 0.905585i 0.181577 0.983377i \(-0.441880\pi\)
−0.996970 + 0.0777917i \(0.975213\pi\)
\(14\) −1.05127 0.110493i −0.280964 0.0295305i
\(15\) 3.84777 0.441189i 0.993491 0.113915i
\(16\) 0.309017 0.951057i 0.0772542 0.237764i
\(17\) 0.0324214 + 0.00340762i 0.00786334 + 0.000826470i 0.108459 0.994101i \(-0.465408\pi\)
−0.100596 + 0.994927i \(0.532075\pi\)
\(18\) −2.26297 + 1.96951i −0.533387 + 0.464218i
\(19\) 1.05030 1.16647i 0.240955 0.267607i −0.610523 0.791999i \(-0.709041\pi\)
0.851477 + 0.524392i \(0.175707\pi\)
\(20\) 2.16987 + 0.540040i 0.485199 + 0.120757i
\(21\) 0.984189 + 1.54386i 0.214768 + 0.336899i
\(22\) 5.10447 2.27266i 1.08828 0.484532i
\(23\) 0.578782 0.796625i 0.120684 0.166108i −0.744400 0.667734i \(-0.767265\pi\)
0.865085 + 0.501626i \(0.167265\pi\)
\(24\) −1.62219 + 0.607055i −0.331127 + 0.123915i
\(25\) −0.864091 + 4.92477i −0.172818 + 0.984954i
\(26\) −2.19684 + 3.80503i −0.430835 + 0.746228i
\(27\) 5.10998 + 0.942407i 0.983416 + 0.181366i
\(28\) 0.219776 + 1.03396i 0.0415337 + 0.195401i
\(29\) 1.00735 + 3.10030i 0.187060 + 0.575711i 0.999978 0.00666727i \(-0.00212227\pi\)
−0.812918 + 0.582378i \(0.802122\pi\)
\(30\) −1.60862 3.52311i −0.293693 0.643230i
\(31\) 3.07211 + 4.64350i 0.551767 + 0.833998i
\(32\) −1.00000 −0.176777
\(33\) −8.58573 4.46623i −1.49458 0.777471i
\(34\) −0.00677791 0.0318876i −0.00116240 0.00546867i
\(35\) −2.27182 + 0.652471i −0.384008 + 0.110288i
\(36\) 2.57241 + 1.54360i 0.428735 + 0.257266i
\(37\) −1.42036 2.46013i −0.233505 0.404443i 0.725332 0.688399i \(-0.241686\pi\)
−0.958837 + 0.283956i \(0.908353\pi\)
\(38\) −1.43394 0.638432i −0.232616 0.103567i
\(39\) 7.52614 1.12706i 1.20515 0.180473i
\(40\) −0.156920 2.23056i −0.0248112 0.352682i
\(41\) −1.80242 + 8.47972i −0.281491 + 1.32431i 0.579202 + 0.815184i \(0.303364\pi\)
−0.860693 + 0.509125i \(0.829969\pi\)
\(42\) 1.16417 1.41310i 0.179635 0.218046i
\(43\) 5.69234 6.32198i 0.868073 0.964093i −0.131556 0.991309i \(-0.541997\pi\)
0.999630 + 0.0272157i \(0.00866409\pi\)
\(44\) −3.73880 4.15235i −0.563645 0.625991i
\(45\) −3.03942 + 5.98013i −0.453090 + 0.891465i
\(46\) −0.936489 0.304284i −0.138078 0.0448642i
\(47\) −3.53808 + 10.8891i −0.516082 + 1.58834i 0.265223 + 0.964187i \(0.414554\pi\)
−0.781305 + 0.624149i \(0.785446\pi\)
\(48\) 1.07863 + 1.35520i 0.155686 + 0.195606i
\(49\) 3.93624 + 4.37164i 0.562320 + 0.624520i
\(50\) 4.95075 0.700037i 0.700142 0.0990002i
\(51\) −0.0359032 + 0.0435802i −0.00502745 + 0.00610245i
\(52\) 4.29766 + 0.913495i 0.595978 + 0.126679i
\(53\) 1.08215 + 2.43056i 0.148645 + 0.333863i 0.972487 0.232957i \(-0.0748402\pi\)
−0.823842 + 0.566820i \(0.808174\pi\)
\(54\) −0.682788 5.15110i −0.0929156 0.700976i
\(55\) 8.67536 8.99118i 1.16979 1.21237i
\(56\) 0.915443 0.528531i 0.122331 0.0706279i
\(57\) 0.681485 + 2.63191i 0.0902648 + 0.348604i
\(58\) 2.63727 1.91609i 0.346291 0.251595i
\(59\) 1.84893 + 8.69853i 0.240710 + 1.13245i 0.917952 + 0.396691i \(0.129842\pi\)
−0.677242 + 0.735760i \(0.736825\pi\)
\(60\) −2.85359 + 2.61859i −0.368397 + 0.338059i
\(61\) 0.250467i 0.0320690i 0.999871 + 0.0160345i \(0.00510417\pi\)
−0.999871 + 0.0160345i \(0.994896\pi\)
\(62\) 3.46690 4.35667i 0.440297 0.553298i
\(63\) −3.17074 0.0534763i −0.399475 0.00673738i
\(64\) 0.309017 + 0.951057i 0.0386271 + 0.118882i
\(65\) −1.36321 + 9.72951i −0.169086 + 1.20680i
\(66\) −1.59450 + 9.54565i −0.196270 + 1.17499i
\(67\) 5.05661 + 2.91944i 0.617764 + 0.356666i 0.775998 0.630736i \(-0.217247\pi\)
−0.158234 + 0.987402i \(0.550580\pi\)
\(68\) −0.0282324 + 0.0163000i −0.00342368 + 0.00197666i
\(69\) 0.597756 + 1.59734i 0.0719614 + 0.192297i
\(70\) 1.32257 + 1.95901i 0.158077 + 0.234146i
\(71\) 1.96994 + 4.42456i 0.233789 + 0.525098i 0.991899 0.127028i \(-0.0405439\pi\)
−0.758110 + 0.652126i \(0.773877\pi\)
\(72\) 0.673130 2.92351i 0.0793292 0.344539i
\(73\) 0.618634 + 5.88591i 0.0724056 + 0.688893i 0.969171 + 0.246388i \(0.0792436\pi\)
−0.896766 + 0.442506i \(0.854090\pi\)
\(74\) −1.90081 + 2.11106i −0.220965 + 0.245406i
\(75\) −6.28870 5.95418i −0.726157 0.687529i
\(76\) −0.164073 + 1.56105i −0.0188204 + 0.179064i
\(77\) 5.61730 + 1.82517i 0.640151 + 0.207998i
\(78\) −3.39760 6.80950i −0.384702 0.771024i
\(79\) 1.25402 + 0.131803i 0.141088 + 0.0148290i 0.174809 0.984602i \(-0.444069\pi\)
−0.0337210 + 0.999431i \(0.510736\pi\)
\(80\) −2.07289 + 0.838519i −0.231756 + 0.0937493i
\(81\) −6.24429 + 6.48142i −0.693810 + 0.720158i
\(82\) 8.62167 0.906174i 0.952104 0.100070i
\(83\) −1.73950 + 8.18370i −0.190935 + 0.898277i 0.773467 + 0.633836i \(0.218521\pi\)
−0.964402 + 0.264441i \(0.914813\pi\)
\(84\) −1.70369 0.670520i −0.185887 0.0731597i
\(85\) −0.0407882 0.0604161i −0.00442410 0.00655305i
\(86\) −7.77159 3.46013i −0.838032 0.373116i
\(87\) −5.44131 1.50728i −0.583370 0.161598i
\(88\) −2.79377 + 4.83895i −0.297817 + 0.515834i
\(89\) −3.24086 + 2.35462i −0.343531 + 0.249590i −0.746150 0.665778i \(-0.768100\pi\)
0.402619 + 0.915368i \(0.368100\pi\)
\(90\) 6.62667 + 1.04270i 0.698513 + 0.109910i
\(91\) −4.41707 + 1.43519i −0.463035 + 0.150449i
\(92\) 0.984682i 0.102660i
\(93\) −9.64365 0.000879429i −1.00000 9.11925e-5i
\(94\) 11.4495 1.18092
\(95\) −3.50775 0.121014i −0.359887 0.0124157i
\(96\) 0.955557 1.44461i 0.0975262 0.147440i
\(97\) 3.22614 + 4.44041i 0.327565 + 0.450855i 0.940758 0.339078i \(-0.110115\pi\)
−0.613193 + 0.789933i \(0.710115\pi\)
\(98\) 2.94131 5.09450i 0.297117 0.514622i
\(99\) 14.6561 8.13532i 1.47300 0.817631i
\(100\) −2.19564 4.49212i −0.219564 0.449212i
\(101\) 7.01075 9.64948i 0.697596 0.960159i −0.302380 0.953188i \(-0.597781\pi\)
0.999976 0.00697110i \(-0.00221899\pi\)
\(102\) 0.0525419 + 0.0206789i 0.00520243 + 0.00204752i
\(103\) −2.89831 + 13.6355i −0.285579 + 1.34354i 0.568192 + 0.822896i \(0.307643\pi\)
−0.853771 + 0.520648i \(0.825690\pi\)
\(104\) −0.459264 4.36960i −0.0450345 0.428475i
\(105\) 1.22829 3.90538i 0.119869 0.381126i
\(106\) 1.97719 1.78027i 0.192042 0.172915i
\(107\) 1.89383 18.0186i 0.183083 1.74192i −0.388564 0.921422i \(-0.627029\pi\)
0.571647 0.820500i \(-0.306305\pi\)
\(108\) −4.68799 + 2.24115i −0.451102 + 0.215654i
\(109\) 3.70649 11.4074i 0.355017 1.09263i −0.600982 0.799262i \(-0.705224\pi\)
0.956000 0.293368i \(-0.0947761\pi\)
\(110\) −11.2320 5.47233i −1.07092 0.521766i
\(111\) 4.91118 + 0.298928i 0.466148 + 0.0283730i
\(112\) −0.785550 0.707313i −0.0742275 0.0668348i
\(113\) 0.172416 + 1.64043i 0.0162196 + 0.154319i 0.999634 0.0270539i \(-0.00861257\pi\)
−0.983414 + 0.181373i \(0.941946\pi\)
\(114\) 2.29250 1.46143i 0.214712 0.136876i
\(115\) −2.19639 + 0.154516i −0.204814 + 0.0144087i
\(116\) −2.63727 1.91609i −0.244865 0.177904i
\(117\) −5.56349 + 11.9493i −0.514345 + 1.10472i
\(118\) 7.70144 4.44643i 0.708975 0.409327i
\(119\) 0.0172301 0.0298434i 0.00157948 0.00273574i
\(120\) 3.37224 + 1.90473i 0.307842 + 0.173878i
\(121\) −19.7788 + 4.20411i −1.79807 + 0.382191i
\(122\) 0.238209 0.0773986i 0.0215664 0.00700734i
\(123\) −10.5276 10.7067i −0.949242 0.965387i
\(124\) −5.21477 1.95093i −0.468300 0.175199i
\(125\) 9.67538 5.60240i 0.865393 0.501094i
\(126\) 0.928952 + 3.03207i 0.0827576 + 0.270119i
\(127\) 3.68423 0.783108i 0.326923 0.0694896i −0.0415266 0.999137i \(-0.513222\pi\)
0.368449 + 0.929648i \(0.379889\pi\)
\(128\) 0.809017 0.587785i 0.0715077 0.0519534i
\(129\) 3.69347 + 14.2642i 0.325192 + 1.25590i
\(130\) 9.67457 1.71009i 0.848516 0.149985i
\(131\) −2.93056 + 6.58214i −0.256044 + 0.575085i −0.995135 0.0985213i \(-0.968589\pi\)
0.739091 + 0.673606i \(0.235255\pi\)
\(132\) 9.57118 1.43331i 0.833065 0.124753i
\(133\) −0.674862 1.51577i −0.0585180 0.131434i
\(134\) 1.21397 5.71128i 0.104871 0.493380i
\(135\) −5.73464 10.1051i −0.493559 0.869712i
\(136\) 0.0242265 + 0.0218136i 0.00207740 + 0.00187050i
\(137\) 5.97740 5.38208i 0.510684 0.459822i −0.373050 0.927811i \(-0.621688\pi\)
0.883734 + 0.467989i \(0.155021\pi\)
\(138\) 1.33444 1.06210i 0.113595 0.0904123i
\(139\) −19.2937 6.26889i −1.63647 0.531721i −0.660723 0.750630i \(-0.729750\pi\)
−0.975745 + 0.218910i \(0.929750\pi\)
\(140\) 1.45443 1.86320i 0.122922 0.157470i
\(141\) −12.3497 15.5163i −1.04003 1.30671i
\(142\) 3.59926 3.24079i 0.302043 0.271961i
\(143\) 16.4270 18.2441i 1.37370 1.52565i
\(144\) −2.98843 + 0.263228i −0.249036 + 0.0219357i
\(145\) 3.86010 6.18325i 0.320564 0.513491i
\(146\) 5.40666 2.40720i 0.447458 0.199221i
\(147\) −10.0766 + 1.50900i −0.831107 + 0.124460i
\(148\) 2.59512 + 1.15542i 0.213318 + 0.0949752i
\(149\) 6.41978 3.70646i 0.525929 0.303645i −0.213428 0.976959i \(-0.568463\pi\)
0.739357 + 0.673314i \(0.235130\pi\)
\(150\) −3.71944 + 7.82085i −0.303691 + 0.638570i
\(151\) −8.27762 11.3932i −0.673623 0.927163i 0.326213 0.945296i \(-0.394227\pi\)
−0.999836 + 0.0181339i \(0.994227\pi\)
\(152\) 1.53534 0.326347i 0.124533 0.0264703i
\(153\) −0.0286490 0.0935096i −0.00231614 0.00755981i
\(154\) 5.90638i 0.475950i
\(155\) 3.53336 11.9380i 0.283806 0.958882i
\(156\) −5.42631 + 5.33556i −0.434452 + 0.427187i
\(157\) 5.38023 1.74814i 0.429389 0.139517i −0.0863458 0.996265i \(-0.527519\pi\)
0.515735 + 0.856748i \(0.327519\pi\)
\(158\) −0.262162 1.23337i −0.0208565 0.0981220i
\(159\) −4.54528 0.759241i −0.360464 0.0602118i
\(160\) 1.43804 + 1.71232i 0.113687 + 0.135371i
\(161\) −0.520435 0.901420i −0.0410161 0.0710419i
\(162\) 8.09379 + 3.93580i 0.635908 + 0.309226i
\(163\) 0.0603807 0.0831069i 0.00472938 0.00650944i −0.806646 0.591035i \(-0.798719\pi\)
0.811375 + 0.584526i \(0.198719\pi\)
\(164\) −3.52606 7.91967i −0.275339 0.618422i
\(165\) 4.69898 + 21.1241i 0.365815 + 1.64451i
\(166\) 8.32069 0.874540i 0.645811 0.0678775i
\(167\) −12.9391 11.6504i −1.00126 0.901535i −0.00611368 0.999981i \(-0.501946\pi\)
−0.995142 + 0.0984463i \(0.968613\pi\)
\(168\) −0.111234 + 1.82750i −0.00858192 + 0.140995i
\(169\) −0.658983 + 6.26980i −0.0506910 + 0.482292i
\(170\) −0.0448549 + 0.0574615i −0.00344021 + 0.00440710i
\(171\) −4.45329 1.53045i −0.340551 0.117037i
\(172\) −0.889230 + 8.46046i −0.0678032 + 0.645104i
\(173\) 4.76607 + 5.29326i 0.362358 + 0.402439i 0.896563 0.442916i \(-0.146056\pi\)
−0.534206 + 0.845355i \(0.679389\pi\)
\(174\) 0.247947 + 5.64077i 0.0187968 + 0.427626i
\(175\) 4.38421 + 2.95182i 0.331415 + 0.223136i
\(176\) 5.46544 + 1.16172i 0.411973 + 0.0875676i
\(177\) −14.3328 5.64095i −1.07732 0.424000i
\(178\) 3.24086 + 2.35462i 0.242913 + 0.176487i
\(179\) −19.2074 8.55171i −1.43563 0.639185i −0.466230 0.884664i \(-0.654388\pi\)
−0.969402 + 0.245479i \(0.921055\pi\)
\(180\) −1.05609 6.62455i −0.0787163 0.493765i
\(181\) 1.82850 + 1.05568i 0.135911 + 0.0784684i 0.566414 0.824121i \(-0.308330\pi\)
−0.430503 + 0.902589i \(0.641664\pi\)
\(182\) 2.72990 + 3.75738i 0.202354 + 0.278516i
\(183\) −0.361829 0.239336i −0.0267471 0.0176922i
\(184\) 0.936489 0.304284i 0.0690389 0.0224321i
\(185\) −2.17001 + 5.96988i −0.159542 + 0.438914i
\(186\) 2.98089 + 9.17139i 0.218569 + 0.672479i
\(187\) 0.182154i 0.0133204i
\(188\) −3.53808 10.8891i −0.258041 0.794168i
\(189\) 3.10707 4.52939i 0.226006 0.329465i
\(190\) 0.968862 + 3.37346i 0.0702886 + 0.244736i
\(191\) 22.5667 + 13.0289i 1.63287 + 0.942739i 0.983201 + 0.182523i \(0.0584265\pi\)
0.649671 + 0.760216i \(0.274907\pi\)
\(192\) −1.66919 0.462379i −0.120464 0.0333693i
\(193\) −3.70784 + 8.32794i −0.266896 + 0.599458i −0.996424 0.0844926i \(-0.973073\pi\)
0.729528 + 0.683951i \(0.239740\pi\)
\(194\) 3.22614 4.44041i 0.231624 0.318803i
\(195\) −12.7528 11.2664i −0.913244 0.806805i
\(196\) −5.75407 1.22307i −0.411005 0.0873618i
\(197\) −5.96949 + 0.627419i −0.425309 + 0.0447018i −0.314765 0.949170i \(-0.601926\pi\)
−0.110543 + 0.993871i \(0.535259\pi\)
\(198\) −12.2661 11.4249i −0.871717 0.811929i
\(199\) −0.869990 + 0.783342i −0.0616720 + 0.0555297i −0.699390 0.714740i \(-0.746545\pi\)
0.637718 + 0.770270i \(0.279878\pi\)
\(200\) −3.59377 + 3.47632i −0.254118 + 0.245813i
\(201\) −9.04935 + 4.51517i −0.638292 + 0.318475i
\(202\) −11.3436 3.68577i −0.798136 0.259330i
\(203\) 3.42698 + 0.360191i 0.240527 + 0.0252804i
\(204\) 0.00343049 0.0563605i 0.000240182 0.00394602i
\(205\) 17.1119 9.10783i 1.19515 0.636119i
\(206\) 13.8637 1.45714i 0.965933 0.101524i
\(207\) −2.87873 0.662820i −0.200085 0.0460692i
\(208\) −4.01382 + 1.78707i −0.278308 + 0.123911i
\(209\) 7.09545 + 5.15514i 0.490802 + 0.356589i
\(210\) −4.09380 + 0.0386574i −0.282499 + 0.00266761i
\(211\) 7.46370 + 12.9275i 0.513822 + 0.889966i 0.999871 + 0.0160349i \(0.00510428\pi\)
−0.486049 + 0.873931i \(0.661562\pi\)
\(212\) −2.30413 1.33029i −0.158248 0.0913645i
\(213\) −8.27416 1.38211i −0.566936 0.0947009i
\(214\) −17.7219 + 3.76691i −1.21144 + 0.257501i
\(215\) −19.0111 0.655862i −1.29654 0.0447294i
\(216\) 3.58013 + 3.76599i 0.243597 + 0.256243i
\(217\) 5.80496 0.970202i 0.394066 0.0658616i
\(218\) −11.9944 −0.812366
\(219\) −9.09400 4.73063i −0.614516 0.319667i
\(220\) −1.73363 + 12.3733i −0.116882 + 0.834205i
\(221\) −0.0841905 0.115878i −0.00566327 0.00779482i
\(222\) −1.23334 4.76318i −0.0827763 0.319684i
\(223\) −1.52543 2.64212i −0.102150 0.176929i 0.810420 0.585849i \(-0.199239\pi\)
−0.912570 + 0.408920i \(0.865906\pi\)
\(224\) −0.429946 + 0.965674i −0.0287270 + 0.0645218i
\(225\) 14.6107 3.39519i 0.974047 0.226346i
\(226\) 1.50687 0.670900i 0.100235 0.0446276i
\(227\) −22.7842 4.84292i −1.51224 0.321436i −0.624221 0.781248i \(-0.714584\pi\)
−0.888016 + 0.459812i \(0.847917\pi\)
\(228\) −2.09833 1.72869i −0.138965 0.114485i
\(229\) 9.28677 + 8.36184i 0.613687 + 0.552566i 0.916272 0.400556i \(-0.131183\pi\)
−0.302585 + 0.953122i \(0.597850\pi\)
\(230\) 0.825675 + 2.04114i 0.0544434 + 0.134589i
\(231\) −8.00432 + 6.37078i −0.526646 + 0.419166i
\(232\) −1.00735 + 3.10030i −0.0661356 + 0.203545i
\(233\) −7.76743 + 23.9057i −0.508861 + 1.56611i 0.285319 + 0.958433i \(0.407900\pi\)
−0.794180 + 0.607682i \(0.792100\pi\)
\(234\) 13.0837 + 1.59865i 0.855309 + 0.104507i
\(235\) 23.7335 9.60059i 1.54820 0.626274i
\(236\) −6.60868 5.95048i −0.430188 0.387343i
\(237\) −1.38869 + 1.68563i −0.0902053 + 0.109494i
\(238\) −0.0337072 0.00716468i −0.00218491 0.000464417i
\(239\) 6.77508 3.01646i 0.438244 0.195119i −0.175741 0.984436i \(-0.556232\pi\)
0.613985 + 0.789318i \(0.289566\pi\)
\(240\) 0.769431 3.79578i 0.0496666 0.245017i
\(241\) −5.75747 + 12.9315i −0.370871 + 0.832991i 0.627643 + 0.778501i \(0.284020\pi\)
−0.998514 + 0.0544894i \(0.982647\pi\)
\(242\) 10.1103 + 17.5116i 0.649916 + 1.12569i
\(243\) −3.39638 15.2140i −0.217878 0.975976i
\(244\) −0.147221 0.202632i −0.00942486 0.0129722i
\(245\) 1.82519 13.0267i 0.116607 0.832245i
\(246\) −6.92943 + 13.3209i −0.441804 + 0.849309i
\(247\) −6.89650 −0.438814
\(248\) −0.243994 + 5.56242i −0.0154936 + 0.353214i
\(249\) −10.1601 10.3329i −0.643870 0.654821i
\(250\) −8.31806 7.47060i −0.526080 0.472482i
\(251\) 27.3650 5.81662i 1.72727 0.367142i 0.766016 0.642821i \(-0.222236\pi\)
0.961250 + 0.275679i \(0.0889028\pi\)
\(252\) 2.59661 1.82045i 0.163571 0.114677i
\(253\) 4.76483 + 2.75098i 0.299562 + 0.172952i
\(254\) −1.88327 3.26192i −0.118167 0.204671i
\(255\) 0.126253 0.00119220i 0.00790630 7.46584e-5i
\(256\) −0.809017 0.587785i −0.0505636 0.0367366i
\(257\) −18.0237 + 8.02467i −1.12429 + 0.500565i −0.882758 0.469828i \(-0.844316\pi\)
−0.241530 + 0.970393i \(0.577649\pi\)
\(258\) 12.4248 7.92059i 0.773532 0.493115i
\(259\) −2.98636 + 0.313880i −0.185564 + 0.0195035i
\(260\) −4.61600 8.67261i −0.286272 0.537853i
\(261\) 7.37693 6.42030i 0.456621 0.397407i
\(262\) 7.16558 + 0.753133i 0.442691 + 0.0465287i
\(263\) 21.7415 + 7.06423i 1.34064 + 0.435599i 0.889532 0.456873i \(-0.151030\pi\)
0.451104 + 0.892472i \(0.351030\pi\)
\(264\) −4.32081 8.65982i −0.265928 0.532975i
\(265\) 2.60572 5.34823i 0.160068 0.328539i
\(266\) −1.23303 + 1.11023i −0.0756022 + 0.0680725i
\(267\) −0.304694 6.93178i −0.0186470 0.424218i
\(268\) −5.80689 + 0.610329i −0.354712 + 0.0372818i
\(269\) 5.41121 + 1.15019i 0.329927 + 0.0701282i 0.369897 0.929073i \(-0.379393\pi\)
−0.0399700 + 0.999201i \(0.512726\pi\)
\(270\) −7.83846 + 8.57663i −0.477034 + 0.521957i
\(271\) 6.06162 8.34311i 0.368217 0.506808i −0.584198 0.811611i \(-0.698591\pi\)
0.952415 + 0.304803i \(0.0985908\pi\)
\(272\) 0.0132596 0.0297815i 0.000803981 0.00180577i
\(273\) 2.14746 7.75237i 0.129970 0.469195i
\(274\) −6.96578 4.02169i −0.420818 0.242959i
\(275\) −27.8713 1.92535i −1.68070 0.116103i
\(276\) −1.42249 0.940921i −0.0856236 0.0566368i
\(277\) −4.69118 14.4380i −0.281866 0.867493i −0.987321 0.158738i \(-0.949257\pi\)
0.705455 0.708755i \(-0.250743\pi\)
\(278\) 20.2866i 1.21671i
\(279\) 9.21379 13.9322i 0.551615 0.834099i
\(280\) −2.22146 0.807485i −0.132757 0.0482564i
\(281\) 8.59698 2.79333i 0.512853 0.166636i −0.0411463 0.999153i \(-0.513101\pi\)
0.553999 + 0.832517i \(0.313101\pi\)
\(282\) −10.9406 + 16.5401i −0.651504 + 0.984946i
\(283\) −12.3794 17.0388i −0.735880 1.01285i −0.998845 0.0480464i \(-0.984700\pi\)
0.262965 0.964805i \(-0.415300\pi\)
\(284\) −4.19440 2.42164i −0.248892 0.143698i
\(285\) 3.52667 4.95170i 0.208902 0.293314i
\(286\) −22.4274 9.98531i −1.32616 0.590444i
\(287\) 7.41370 + 5.38637i 0.437617 + 0.317947i
\(288\) 1.17382 + 2.76082i 0.0691680 + 0.162683i
\(289\) −16.6275 3.53428i −0.978086 0.207899i
\(290\) −7.07346 1.76045i −0.415368 0.103377i
\(291\) −9.49744 + 0.417471i −0.556750 + 0.0244726i
\(292\) −3.96013 4.39817i −0.231749 0.257384i
\(293\) −1.50723 + 14.3404i −0.0880536 + 0.837774i 0.857975 + 0.513691i \(0.171722\pi\)
−0.946029 + 0.324083i \(0.894944\pi\)
\(294\) 4.54899 + 9.11714i 0.265303 + 0.531723i
\(295\) 12.2358 15.6748i 0.712398 0.912621i
\(296\) 0.296936 2.82515i 0.0172590 0.164209i
\(297\) −2.25237 + 28.9462i −0.130696 + 1.67963i
\(298\) −5.50888 4.96021i −0.319121 0.287337i
\(299\) −4.30267 + 0.452229i −0.248830 + 0.0261531i
\(300\) 8.58744 + 1.12062i 0.495796 + 0.0646993i
\(301\) −3.65758 8.21505i −0.210819 0.473508i
\(302\) −8.27762 + 11.3932i −0.476323 + 0.655603i
\(303\) 7.24059 + 19.3485i 0.415961 + 1.11154i
\(304\) −0.784822 1.35935i −0.0450126 0.0779642i
\(305\) 0.428881 0.360182i 0.0245576 0.0206239i
\(306\) −0.0800799 + 0.0561429i −0.00457786 + 0.00320948i
\(307\) 6.92495 + 32.5793i 0.395228 + 1.85940i 0.501636 + 0.865079i \(0.332732\pi\)
−0.106408 + 0.994323i \(0.533935\pi\)
\(308\) −5.61730 + 1.82517i −0.320075 + 0.103999i
\(309\) −16.9285 17.2164i −0.963029 0.979408i
\(310\) −12.4456 + 0.328612i −0.706860 + 0.0186639i
\(311\) 24.6367i 1.39702i 0.715601 + 0.698510i \(0.246153\pi\)
−0.715601 + 0.698510i \(0.753847\pi\)
\(312\) 6.75124 + 3.51195i 0.382214 + 0.198825i
\(313\) 0.403659 0.0858003i 0.0228161 0.00484972i −0.196489 0.980506i \(-0.562954\pi\)
0.219306 + 0.975656i \(0.429621\pi\)
\(314\) −3.32516 4.57670i −0.187650 0.258278i
\(315\) 4.46807 + 5.50622i 0.251747 + 0.310240i
\(316\) −1.09200 + 0.630464i −0.0614296 + 0.0354664i
\(317\) −18.3189 8.15610i −1.02889 0.458092i −0.178332 0.983970i \(-0.557070\pi\)
−0.850560 + 0.525878i \(0.823737\pi\)
\(318\) 0.682486 + 4.55743i 0.0382719 + 0.255568i
\(319\) −16.6398 + 7.40852i −0.931650 + 0.414797i
\(320\) 1.18414 1.89679i 0.0661952 0.106034i
\(321\) 24.2202 + 19.9536i 1.35184 + 1.11370i
\(322\) −0.696478 + 0.773518i −0.0388132 + 0.0431065i
\(323\) 0.0380270 0.0342396i 0.00211588 0.00190514i
\(324\) 1.24205 8.91388i 0.0690029 0.495216i
\(325\) 18.6204 11.6571i 1.03287 0.646622i
\(326\) −0.0976980 0.0317440i −0.00541099 0.00175814i
\(327\) 12.9375 + 16.2549i 0.715447 + 0.898896i
\(328\) −6.44244 + 5.80080i −0.355724 + 0.320296i
\(329\) 8.99413 + 8.09835i 0.495862 + 0.446477i
\(330\) 18.6382 10.9967i 1.02600 0.605349i
\(331\) −1.41565 + 6.66013i −0.0778114 + 0.366074i −0.999775 0.0212022i \(-0.993251\pi\)
0.921964 + 0.387276i \(0.126584\pi\)
\(332\) −3.40297 7.64320i −0.186762 0.419475i
\(333\) −5.12475 + 6.80911i −0.280834 + 0.373137i
\(334\) −7.08179 + 15.9060i −0.387498 + 0.870336i
\(335\) −2.27259 12.8568i −0.124165 0.702443i
\(336\) 1.77243 0.458939i 0.0966941 0.0250372i
\(337\) −29.1904 + 21.2081i −1.59010 + 1.15528i −0.686310 + 0.727309i \(0.740771\pi\)
−0.903794 + 0.427968i \(0.859229\pi\)
\(338\) 6.16657 1.31075i 0.335417 0.0712952i
\(339\) −2.53455 1.31845i −0.137658 0.0716085i
\(340\) 0.0685101 + 0.0249029i 0.00371548 + 0.00135055i
\(341\) −24.0094 + 19.7836i −1.30018 + 1.07134i
\(342\) −0.0794076 + 4.70826i −0.00429387 + 0.254594i
\(343\) 12.9512 4.20811i 0.699301 0.227217i
\(344\) 8.32116 1.76872i 0.448647 0.0953629i
\(345\) 1.87556 3.32058i 0.100977 0.178774i
\(346\) 3.56139 6.16851i 0.191462 0.331621i
\(347\) 22.6568 13.0809i 1.21628 0.702220i 0.252160 0.967686i \(-0.418859\pi\)
0.964120 + 0.265466i \(0.0855258\pi\)
\(348\) 5.28807 1.97891i 0.283471 0.106081i
\(349\) −8.15708 5.92647i −0.436639 0.317237i 0.347659 0.937621i \(-0.386977\pi\)
−0.784298 + 0.620384i \(0.786977\pi\)
\(350\) 1.45255 5.08179i 0.0776419 0.271633i
\(351\) −11.9459 19.4554i −0.637627 1.03845i
\(352\) −0.584057 5.55693i −0.0311304 0.296186i
\(353\) −16.9214 15.2361i −0.900635 0.810935i 0.0819720 0.996635i \(-0.473878\pi\)
−0.982607 + 0.185700i \(0.940545\pi\)
\(354\) −0.935793 + 15.3744i −0.0497368 + 0.817142i
\(355\) 4.74341 9.73585i 0.251754 0.516725i
\(356\) 1.23790 3.80986i 0.0656085 0.201922i
\(357\) 0.0266479 + 0.0534079i 0.00141035 + 0.00282665i
\(358\) −2.19773 + 20.9100i −0.116154 + 1.10513i
\(359\) −12.3573 + 11.1266i −0.652193 + 0.587237i −0.927365 0.374158i \(-0.877932\pi\)
0.275172 + 0.961395i \(0.411265\pi\)
\(360\) −5.97397 + 3.05150i −0.314856 + 0.160828i
\(361\) 1.72851 + 16.4456i 0.0909740 + 0.865559i
\(362\) 0.438978 2.06523i 0.0230722 0.108546i
\(363\) 12.8264 32.5899i 0.673213 1.71053i
\(364\) 2.72990 3.75738i 0.143086 0.196940i
\(365\) 9.18895 9.52346i 0.480971 0.498481i
\(366\) −0.115811 + 0.418078i −0.00605352 + 0.0218533i
\(367\) 5.60684 9.71134i 0.292675 0.506928i −0.681766 0.731570i \(-0.738788\pi\)
0.974441 + 0.224642i \(0.0721213\pi\)
\(368\) −0.578782 0.796625i −0.0301711 0.0415269i
\(369\) 25.5267 4.97750i 1.32887 0.259119i
\(370\) 6.34826 + 0.219008i 0.330030 + 0.0113857i
\(371\) 2.81239 0.146012
\(372\) 7.80136 5.66911i 0.404482 0.293930i
\(373\) 12.0487i 0.623857i 0.950106 + 0.311929i \(0.100975\pi\)
−0.950106 + 0.311929i \(0.899025\pi\)
\(374\) 0.173238 0.0562886i 0.00895795 0.00291061i
\(375\) −1.15207 + 19.3306i −0.0594928 + 0.998229i
\(376\) −9.26281 + 6.72983i −0.477693 + 0.347064i
\(377\) 7.16135 12.4038i 0.368828 0.638829i
\(378\) −5.26784 1.55534i −0.270949 0.0799982i
\(379\) 27.5295 + 12.2569i 1.41409 + 0.629595i 0.964607 0.263692i \(-0.0849401\pi\)
0.449487 + 0.893287i \(0.351607\pi\)
\(380\) 2.90896 1.96390i 0.149226 0.100746i
\(381\) −2.38921 + 6.07060i −0.122403 + 0.311006i
\(382\) 5.41773 25.4884i 0.277195 1.30410i
\(383\) 17.0610 1.79318i 0.871776 0.0916274i 0.341934 0.939724i \(-0.388918\pi\)
0.529842 + 0.848097i \(0.322251\pi\)
\(384\) 0.0760609 + 1.73038i 0.00388147 + 0.0883031i
\(385\) −4.95261 12.2433i −0.252409 0.623976i
\(386\) 9.06613 + 0.952888i 0.461454 + 0.0485007i
\(387\) −24.1357 8.29467i −1.22688 0.421642i
\(388\) −5.22001 1.69608i −0.265006 0.0861056i
\(389\) 1.62176 15.4300i 0.0822266 0.782334i −0.873251 0.487271i \(-0.837993\pi\)
0.955478 0.295064i \(-0.0953408\pi\)
\(390\) −6.77418 + 15.6101i −0.343024 + 0.790449i
\(391\) 0.0214795 0.0238554i 0.00108627 0.00120642i
\(392\) 0.614901 + 5.85039i 0.0310572 + 0.295490i
\(393\) −6.70834 10.5231i −0.338391 0.530822i
\(394\) 2.44139 + 5.48344i 0.122995 + 0.276252i
\(395\) −1.57764 2.33682i −0.0793797 0.117578i
\(396\) −7.07524 + 15.1963i −0.355544 + 0.763641i
\(397\) −29.4881 + 17.0249i −1.47996 + 0.854457i −0.999743 0.0226910i \(-0.992777\pi\)
−0.480220 + 0.877148i \(0.659443\pi\)
\(398\) 1.01384 + 0.585343i 0.0508194 + 0.0293406i
\(399\) 2.83457 + 0.473485i 0.141906 + 0.0237039i
\(400\) 4.41671 + 2.34364i 0.220836 + 0.117182i
\(401\) −8.53165 26.2577i −0.426050 1.31125i −0.901985 0.431767i \(-0.857890\pi\)
0.475935 0.879481i \(-0.342110\pi\)
\(402\) 7.09058 + 7.21118i 0.353646 + 0.359661i
\(403\) 6.12984 23.6825i 0.305349 1.17971i
\(404\) 11.9274i 0.593411i
\(405\) 20.0778 + 1.37170i 0.997674 + 0.0681603i
\(406\) −0.716435 3.37056i −0.0355561 0.167278i
\(407\) 12.8412 9.32969i 0.636516 0.462456i
\(408\) −0.0546621 + 0.0141538i −0.00270618 + 0.000700716i
\(409\) 20.4569 11.8108i 1.01153 0.584007i 0.0998902 0.994998i \(-0.468151\pi\)
0.911639 + 0.410992i \(0.134818\pi\)
\(410\) −13.9499 13.4600i −0.688939 0.664740i
\(411\) 2.06327 + 13.7779i 0.101774 + 0.679615i
\(412\) −5.66995 12.7349i −0.279339 0.627405i
\(413\) 9.19488 + 1.95443i 0.452451 + 0.0961714i
\(414\) 0.259196 + 2.94265i 0.0127388 + 0.144624i
\(415\) 16.5146 8.78989i 0.810669 0.431479i
\(416\) 2.93994 + 3.26513i 0.144142 + 0.160086i
\(417\) 27.4923 21.8816i 1.34631 1.07155i
\(418\) 2.71022 8.34120i 0.132561 0.407981i
\(419\) 22.2323 + 7.22371i 1.08612 + 0.352901i 0.796745 0.604315i \(-0.206553\pi\)
0.289373 + 0.957216i \(0.406553\pi\)
\(420\) 1.30182 + 3.88149i 0.0635223 + 0.189397i
\(421\) 25.5911 + 28.4218i 1.24723 + 1.38519i 0.893013 + 0.450032i \(0.148587\pi\)
0.354221 + 0.935162i \(0.384746\pi\)
\(422\) 9.98838 11.0932i 0.486227 0.540010i
\(423\) 34.2159 3.01382i 1.66363 0.146537i
\(424\) −0.553165 + 2.60243i −0.0268640 + 0.126385i
\(425\) −0.0447968 + 0.156723i −0.00217296 + 0.00760220i
\(426\) 1.24239 + 8.29629i 0.0601939 + 0.401957i
\(427\) 0.241870 + 0.107687i 0.0117049 + 0.00521136i
\(428\) 9.05891 + 15.6905i 0.437879 + 0.758429i
\(429\) 10.6587 + 41.1640i 0.514606 + 1.98742i
\(430\) 5.25098 + 18.2833i 0.253225 + 0.881697i
\(431\) −2.99142 14.0735i −0.144091 0.677897i −0.989590 0.143919i \(-0.954030\pi\)
0.845498 0.533979i \(-0.179304\pi\)
\(432\) 2.47535 4.56866i 0.119095 0.219810i
\(433\) 26.6621 1.28130 0.640649 0.767834i \(-0.278665\pi\)
0.640649 + 0.767834i \(0.278665\pi\)
\(434\) −2.71655 5.22103i −0.130398 0.250618i
\(435\) 5.24386 + 11.4848i 0.251424 + 0.550655i
\(436\) 3.70649 + 11.4074i 0.177509 + 0.546315i
\(437\) −0.321349 1.51183i −0.0153722 0.0723205i
\(438\) −1.68890 + 10.1108i −0.0806987 + 0.483111i
\(439\) 17.6766 30.6167i 0.843657 1.46126i −0.0431248 0.999070i \(-0.513731\pi\)
0.886782 0.462188i \(-0.152935\pi\)
\(440\) 12.3034 2.17477i 0.586541 0.103678i
\(441\) 7.44888 15.9988i 0.354709 0.761847i
\(442\) −0.0841905 + 0.115878i −0.00400453 + 0.00551177i
\(443\) −6.80144 + 3.02820i −0.323146 + 0.143874i −0.561898 0.827207i \(-0.689929\pi\)
0.238751 + 0.971081i \(0.423262\pi\)
\(444\) −4.14893 + 2.64488i −0.196900 + 0.125520i
\(445\) 8.69236 + 2.16336i 0.412057 + 0.102553i
\(446\) −2.04142 + 2.26723i −0.0966640 + 0.107356i
\(447\) −0.780060 + 12.8158i −0.0368956 + 0.606169i
\(448\) 1.05127 + 0.110493i 0.0496679 + 0.00522031i
\(449\) 4.56163 14.0393i 0.215277 0.662553i −0.783857 0.620941i \(-0.786751\pi\)
0.999134 0.0416121i \(-0.0132494\pi\)
\(450\) −7.74397 12.8464i −0.365054 0.605587i
\(451\) −48.1739 5.06328i −2.26842 0.238421i
\(452\) −1.10371 1.22579i −0.0519142 0.0576565i
\(453\) 24.3685 1.07114i 1.14493 0.0503268i
\(454\) 2.43480 + 23.1656i 0.114271 + 1.08721i
\(455\) 8.80943 + 5.49958i 0.412992 + 0.257824i
\(456\) −0.995663 + 2.52982i −0.0466262 + 0.118470i
\(457\) 24.9107 + 18.0987i 1.16527 + 0.846621i 0.990436 0.137976i \(-0.0440598\pi\)
0.174838 + 0.984597i \(0.444060\pi\)
\(458\) 5.08282 11.4162i 0.237504 0.533444i
\(459\) 0.162461 + 0.0479670i 0.00758304 + 0.00223891i
\(460\) 1.68609 1.41601i 0.0786145 0.0660219i
\(461\) −26.0934 + 18.9580i −1.21529 + 0.882961i −0.995700 0.0926313i \(-0.970472\pi\)
−0.219591 + 0.975592i \(0.570472\pi\)
\(462\) 8.53244 + 5.64388i 0.396965 + 0.262577i
\(463\) −1.70472 5.24660i −0.0792253 0.243830i 0.903597 0.428383i \(-0.140916\pi\)
−0.982823 + 0.184552i \(0.940916\pi\)
\(464\) 3.25985 0.151335
\(465\) 13.8694 + 16.5118i 0.643180 + 0.765715i
\(466\) 25.1359 1.16440
\(467\) −7.27928 22.4033i −0.336845 1.03670i −0.965806 0.259265i \(-0.916520\pi\)
0.628962 0.777436i \(-0.283480\pi\)
\(468\) −2.52268 12.9374i −0.116611 0.598029i
\(469\) 4.99330 3.62784i 0.230569 0.167518i
\(470\) −16.4648 19.6052i −0.759463 0.904319i
\(471\) −2.61573 + 9.44280i −0.120526 + 0.435101i
\(472\) −3.61705 + 8.12403i −0.166488 + 0.373939i
\(473\) 38.4555 + 27.9395i 1.76818 + 1.28466i
\(474\) 2.03226 + 0.799837i 0.0933448 + 0.0367377i
\(475\) 4.83706 + 6.18041i 0.221939 + 0.283577i
\(476\) 0.00360207 + 0.0342714i 0.000165101 + 0.00157083i
\(477\) 5.44008 5.84067i 0.249084 0.267426i
\(478\) −4.96244 5.51135i −0.226977 0.252083i
\(479\) −35.0065 3.67933i −1.59949 0.168113i −0.737608 0.675229i \(-0.764045\pi\)
−0.861878 + 0.507116i \(0.830711\pi\)
\(480\) −3.84777 + 0.441189i −0.175626 + 0.0201374i
\(481\) −3.85689 + 11.8703i −0.175859 + 0.541239i
\(482\) 14.0777 + 1.47963i 0.641223 + 0.0673953i
\(483\) 1.79951 + 0.109531i 0.0818806 + 0.00498381i
\(484\) 13.5302 15.0269i 0.615011 0.683039i
\(485\) 2.96409 11.9097i 0.134592 0.540790i
\(486\) −13.4198 + 7.93152i −0.608734 + 0.359781i
\(487\) −12.5147 + 5.57192i −0.567097 + 0.252488i −0.670197 0.742183i \(-0.733790\pi\)
0.103100 + 0.994671i \(0.467124\pi\)
\(488\) −0.147221 + 0.202632i −0.00666438 + 0.00917273i
\(489\) 0.0623602 + 0.166640i 0.00282003 + 0.00753573i
\(490\) −12.9531 + 2.28961i −0.585163 + 0.103434i
\(491\) −13.6742 + 23.6845i −0.617109 + 1.06886i 0.372901 + 0.927871i \(0.378363\pi\)
−0.990010 + 0.140994i \(0.954970\pi\)
\(492\) 14.8102 + 2.47390i 0.667696 + 0.111532i
\(493\) 0.0220950 + 0.103949i 0.000995107 + 0.00468161i
\(494\) 2.13114 + 6.55896i 0.0958843 + 0.295102i
\(495\) −35.0064 13.3971i −1.57342 0.602155i
\(496\) 5.36557 1.48683i 0.240921 0.0667606i
\(497\) 5.11965 0.229648
\(498\) −6.68752 + 12.8559i −0.299675 + 0.576085i
\(499\) −0.469667 2.20961i −0.0210252 0.0989158i 0.966384 0.257104i \(-0.0827682\pi\)
−0.987409 + 0.158188i \(0.949435\pi\)
\(500\) −4.53454 + 10.2195i −0.202791 + 0.457029i
\(501\) 29.1944 7.55935i 1.30431 0.337727i
\(502\) −13.9882 24.2283i −0.624324 1.08136i
\(503\) 12.4633 + 5.54902i 0.555711 + 0.247419i 0.665323 0.746556i \(-0.268294\pi\)
−0.109611 + 0.993975i \(0.534961\pi\)
\(504\) −2.53375 1.90697i −0.112862 0.0849434i
\(505\) −26.6047 + 1.87165i −1.18390 + 0.0832873i
\(506\) 1.14392 5.38172i 0.0508535 0.239247i
\(507\) −8.42775 6.94313i −0.374290 0.308355i
\(508\) −2.52031 + 2.79909i −0.111821 + 0.124189i
\(509\) 13.1644 + 14.6205i 0.583500 + 0.648042i 0.960536 0.278156i \(-0.0897233\pi\)
−0.377036 + 0.926199i \(0.623057\pi\)
\(510\) −0.0401483 0.119706i −0.00177780 0.00530066i
\(511\) 5.94985 + 1.93322i 0.263206 + 0.0855207i
\(512\) −0.309017 + 0.951057i −0.0136568 + 0.0420312i
\(513\) 6.46629 4.97084i 0.285494 0.219468i
\(514\) 13.2015 + 14.6618i 0.582295 + 0.646704i
\(515\) 27.5162 14.6455i 1.21251 0.645358i
\(516\) −11.3724 9.36905i −0.500642 0.412449i
\(517\) −62.5764 13.3010i −2.75211 0.584978i
\(518\) 1.22135 + 2.74321i 0.0536632 + 0.120530i
\(519\) −12.2010 + 1.82712i −0.535563 + 0.0802018i
\(520\) −6.82172 + 7.07006i −0.299152 + 0.310043i
\(521\) −24.3487 + 14.0578i −1.06674 + 0.615881i −0.927288 0.374348i \(-0.877867\pi\)
−0.139449 + 0.990229i \(0.544533\pi\)
\(522\) −8.38567 5.03189i −0.367031 0.220240i
\(523\) 29.2824 21.2749i 1.28043 0.930286i 0.280862 0.959748i \(-0.409380\pi\)
0.999566 + 0.0294624i \(0.00937952\pi\)
\(524\) −1.49801 7.04761i −0.0654411 0.307876i
\(525\) −8.45360 + 3.51286i −0.368945 + 0.153314i
\(526\) 22.8603i 0.996757i
\(527\) 0.0837787 + 0.161017i 0.00364946 + 0.00701403i
\(528\) −6.90077 + 6.78537i −0.300318 + 0.295295i
\(529\) 6.80777 + 20.9522i 0.295990 + 0.910963i
\(530\) −5.89168 0.825490i −0.255918 0.0358570i
\(531\) 21.8448 15.3151i 0.947983 0.664618i
\(532\) 1.43692 + 0.829606i 0.0622984 + 0.0359680i
\(533\) 32.9864 19.0447i 1.42880 0.824918i
\(534\) −6.49835 + 2.43182i −0.281211 + 0.105235i
\(535\) −33.5770 + 22.6686i −1.45166 + 0.980047i
\(536\) 2.37488 + 5.33408i 0.102579 + 0.230397i
\(537\) 30.7077 19.5757i 1.32514 0.844754i
\(538\) −0.578262 5.50179i −0.0249306 0.237199i
\(539\) −21.9939 + 24.4267i −0.947345 + 1.05213i
\(540\) 10.5791 + 4.80450i 0.455251 + 0.206753i
\(541\) 4.31246 41.0303i 0.185407 1.76403i −0.366778 0.930309i \(-0.619539\pi\)
0.552185 0.833722i \(-0.313794\pi\)
\(542\) −9.80791 3.18678i −0.421286 0.136884i
\(543\) −3.27229 + 1.63271i −0.140428 + 0.0700663i
\(544\) −0.0324214 0.00340762i −0.00139005 0.000146101i
\(545\) −24.8632 + 10.0576i −1.06502 + 0.430819i
\(546\) −8.03655 + 0.353256i −0.343932 + 0.0151180i
\(547\) −3.53557 + 0.371603i −0.151170 + 0.0158886i −0.179811 0.983701i \(-0.557549\pi\)
0.0286412 + 0.999590i \(0.490882\pi\)
\(548\) −1.67231 + 7.86762i −0.0714377 + 0.336088i
\(549\) 0.691496 0.294004i 0.0295123 0.0125478i
\(550\) 6.78158 + 27.1021i 0.289168 + 1.15564i
\(551\) 4.67443 + 2.08119i 0.199137 + 0.0886617i
\(552\) −0.455296 + 1.64363i −0.0193787 + 0.0699573i
\(553\) 0.666440 1.15431i 0.0283399 0.0490862i
\(554\) −12.2817 + 8.92315i −0.521798 + 0.379108i
\(555\) −6.55060 8.83938i −0.278057 0.375211i
\(556\) 19.2937 6.26889i 0.818234 0.265860i
\(557\) 23.7867i 1.00788i 0.863740 + 0.503938i \(0.168116\pi\)
−0.863740 + 0.503938i \(0.831884\pi\)
\(558\) −16.0975 4.45755i −0.681462 0.188703i
\(559\) −37.3772 −1.58089
\(560\) −0.0814954 + 2.36226i −0.00344381 + 0.0998236i
\(561\) −0.263142 0.174058i −0.0111099 0.00734875i
\(562\) −5.31323 7.31303i −0.224125 0.308482i
\(563\) −7.09326 + 12.2859i −0.298945 + 0.517789i −0.975895 0.218241i \(-0.929968\pi\)
0.676950 + 0.736029i \(0.263302\pi\)
\(564\) 19.1114 + 5.29399i 0.804734 + 0.222917i
\(565\) 2.56101 2.65424i 0.107742 0.111665i
\(566\) −12.3794 + 17.0388i −0.520346 + 0.716194i
\(567\) 3.57424 + 8.81661i 0.150104 + 0.370263i
\(568\) −1.00697 + 4.73744i −0.0422517 + 0.198779i
\(569\) −3.54985 33.7746i −0.148818 1.41590i −0.772891 0.634539i \(-0.781190\pi\)
0.624074 0.781366i \(-0.285477\pi\)
\(570\) −5.79915 1.82390i −0.242900 0.0763948i
\(571\) −24.5893 + 22.1403i −1.02903 + 0.926544i −0.997335 0.0729531i \(-0.976758\pi\)
−0.0316965 + 0.999498i \(0.510091\pi\)
\(572\) −2.56615 + 24.4153i −0.107296 + 1.02086i
\(573\) −40.3856 + 20.1504i −1.68713 + 0.841794i
\(574\) 2.83178 8.71533i 0.118196 0.363771i
\(575\) 3.42307 + 3.53872i 0.142752 + 0.147575i
\(576\) 2.26297 1.96951i 0.0942904 0.0820630i
\(577\) 11.3119 + 10.1853i 0.470921 + 0.424019i 0.870116 0.492847i \(-0.164044\pi\)
−0.399195 + 0.916866i \(0.630710\pi\)
\(578\) 1.77687 + 16.9058i 0.0739082 + 0.703189i
\(579\) −8.48761 13.3142i −0.352733 0.553320i
\(580\) 0.511535 + 7.27127i 0.0212403 + 0.301923i
\(581\) 7.15490 + 5.19834i 0.296835 + 0.215663i
\(582\) 3.33191 + 8.90360i 0.138112 + 0.369066i
\(583\) −12.8744 + 7.43304i −0.533203 + 0.307845i
\(584\) −2.95916 + 5.12542i −0.122451 + 0.212091i
\(585\) 28.4616 7.65711i 1.17674 0.316582i
\(586\) 14.1043 2.99796i 0.582642 0.123844i
\(587\) −42.8092 + 13.9096i −1.76693 + 0.574109i −0.997880 0.0650850i \(-0.979268\pi\)
−0.769046 + 0.639194i \(0.779268\pi\)
\(588\) 7.26520 7.14370i 0.299612 0.294601i
\(589\) 8.64315 + 1.29353i 0.356135 + 0.0532988i
\(590\) −18.6887 6.79321i −0.769401 0.279672i
\(591\) 4.79781 9.22315i 0.197356 0.379390i
\(592\) −2.77864 + 0.590618i −0.114201 + 0.0242743i
\(593\) −26.3837 + 19.1689i −1.08345 + 0.787171i −0.978281 0.207284i \(-0.933538\pi\)
−0.105166 + 0.994455i \(0.533538\pi\)
\(594\) 28.2255 6.80274i 1.15811 0.279120i
\(595\) −0.0758790 + 0.0134125i −0.00311074 + 0.000549858i
\(596\) −3.01511 + 6.77204i −0.123504 + 0.277394i
\(597\) −0.300302 2.00533i −0.0122906 0.0820726i
\(598\) 1.75969 + 3.95234i 0.0719592 + 0.161623i
\(599\) 6.81897 32.0808i 0.278616 1.31078i −0.586801 0.809731i \(-0.699613\pi\)
0.865417 0.501053i \(-0.167054\pi\)
\(600\) −1.58789 8.51344i −0.0648253 0.347560i
\(601\) 3.52757 + 3.17624i 0.143892 + 0.129561i 0.737934 0.674873i \(-0.235802\pi\)
−0.594041 + 0.804435i \(0.702468\pi\)
\(602\) −6.68273 + 6.01715i −0.272368 + 0.245241i
\(603\) 2.12449 17.3873i 0.0865161 0.708066i
\(604\) 13.3935 + 4.35180i 0.544972 + 0.177072i
\(605\) 35.6414 + 27.8219i 1.44903 + 1.13112i
\(606\) 16.1640 12.8652i 0.656618 0.522614i
\(607\) −0.675670 + 0.608376i −0.0274246 + 0.0246932i −0.682729 0.730672i \(-0.739207\pi\)
0.655304 + 0.755365i \(0.272540\pi\)
\(608\) −1.05030 + 1.16647i −0.0425952 + 0.0473067i
\(609\) −3.79502 + 4.60649i −0.153782 + 0.186664i
\(610\) −0.475084 0.296587i −0.0192356 0.0120085i
\(611\) 45.9561 20.4610i 1.85918 0.827762i
\(612\) 0.0781411 + 0.0588114i 0.00315867 + 0.00237731i
\(613\) 13.9137 + 6.19479i 0.561970 + 0.250205i 0.668004 0.744157i \(-0.267149\pi\)
−0.106035 + 0.994362i \(0.533815\pi\)
\(614\) 28.8449 16.6536i 1.16408 0.672084i
\(615\) −3.19414 + 33.4232i −0.128800 + 1.34775i
\(616\) 3.47168 + 4.77836i 0.139878 + 0.192526i
\(617\) 25.6220 5.44612i 1.03150 0.219252i 0.339089 0.940754i \(-0.389881\pi\)
0.692412 + 0.721502i \(0.256548\pi\)
\(618\) −11.1426 + 21.4201i −0.448221 + 0.861644i
\(619\) 39.5108i 1.58807i 0.607869 + 0.794037i \(0.292025\pi\)
−0.607869 + 0.794037i \(0.707975\pi\)
\(620\) 4.15842 + 11.7349i 0.167006 + 0.471284i
\(621\) 3.70831 3.52529i 0.148809 0.141465i
\(622\) 23.4309 7.61316i 0.939493 0.305260i
\(623\) 0.880405 + 4.14198i 0.0352727 + 0.165945i
\(624\) 1.25381 7.50606i 0.0501926 0.300483i
\(625\) −23.5067 8.51090i −0.940268 0.340436i
\(626\) −0.206338 0.357389i −0.00824694 0.0142841i
\(627\) −14.2273 + 5.32415i −0.568184 + 0.212626i
\(628\) −3.32516 + 4.57670i −0.132688 + 0.182630i
\(629\) −0.0376668 0.0846009i −0.00150187 0.00337326i
\(630\) 3.85602 5.95090i 0.153627 0.237090i
\(631\) 33.8981 3.56284i 1.34946 0.141834i 0.597940 0.801541i \(-0.295986\pi\)
0.751523 + 0.659707i \(0.229320\pi\)
\(632\) 0.937052 + 0.843726i 0.0372739 + 0.0335616i
\(633\) −25.8073 1.57081i −1.02575 0.0624340i
\(634\) −2.09606 + 19.9427i −0.0832452 + 0.792025i
\(635\) −6.63900 5.18245i −0.263461 0.205659i
\(636\) 4.12348 2.05741i 0.163506 0.0815815i
\(637\) 2.70167 25.7047i 0.107044 1.01846i
\(638\) 12.1879 + 13.5360i 0.482524 + 0.535897i
\(639\) 9.90306 10.6323i 0.391759 0.420607i
\(640\) −2.16987 0.540040i −0.0857718 0.0213469i
\(641\) −29.3208 6.23232i −1.15810 0.246162i −0.411485 0.911417i \(-0.634990\pi\)
−0.746616 + 0.665255i \(0.768323\pi\)
\(642\) 11.4926 29.2008i 0.453576 1.15246i
\(643\) −22.8555 16.6055i −0.901332 0.654856i 0.0374759 0.999298i \(-0.488068\pi\)
−0.938808 + 0.344442i \(0.888068\pi\)
\(644\) 0.950883 + 0.423360i 0.0374700 + 0.0166827i
\(645\) 19.1136 26.8369i 0.752598 1.05670i
\(646\) −0.0443148 0.0255852i −0.00174354 0.00100664i
\(647\) −6.56067 9.02998i −0.257926 0.355005i 0.660341 0.750966i \(-0.270412\pi\)
−0.918268 + 0.395960i \(0.870412\pi\)
\(648\) −8.86142 + 1.57328i −0.348110 + 0.0618042i
\(649\) −47.2573 + 15.3548i −1.85501 + 0.602729i
\(650\) −16.8406 14.1068i −0.660544 0.553314i
\(651\) −4.14540 + 9.31301i −0.162471 + 0.365005i
\(652\) 0.102726i 0.00402305i
\(653\) 3.17369 + 9.76761i 0.124196 + 0.382236i 0.993754 0.111595i \(-0.0355960\pi\)
−0.869558 + 0.493831i \(0.835596\pi\)
\(654\) 11.4614 17.3273i 0.448175 0.677553i
\(655\) 15.4850 4.44731i 0.605049 0.173771i
\(656\) 7.50771 + 4.33458i 0.293127 + 0.169237i
\(657\) 15.5238 8.61694i 0.605640 0.336179i
\(658\) 4.92265 11.0565i 0.191905 0.431025i
\(659\) −17.1561 + 23.6134i −0.668308 + 0.919847i −0.999721 0.0236387i \(-0.992475\pi\)
0.331412 + 0.943486i \(0.392475\pi\)
\(660\) −16.2180 14.3278i −0.631285 0.557709i
\(661\) 22.7086 + 4.82686i 0.883261 + 0.187743i 0.627145 0.778903i \(-0.284224\pi\)
0.256117 + 0.966646i \(0.417557\pi\)
\(662\) 6.77162 0.711726i 0.263187 0.0276620i
\(663\) 0.247848 0.0108945i 0.00962563 0.000423106i
\(664\) −6.21754 + 5.59830i −0.241287 + 0.217256i
\(665\) −1.62500 + 3.33531i −0.0630148 + 0.129338i
\(666\) 8.05948 + 2.76979i 0.312299 + 0.107327i
\(667\) 3.05281 + 0.991918i 0.118205 + 0.0384072i
\(668\) 17.3159 + 1.81997i 0.669971 + 0.0704168i
\(669\) 5.27447 + 0.321041i 0.203923 + 0.0124121i
\(670\) −11.5253 + 6.13433i −0.445261 + 0.236990i
\(671\) −1.39183 + 0.146287i −0.0537310 + 0.00564736i
\(672\) −0.984189 1.54386i −0.0379659 0.0595558i
\(673\) −6.95102 + 3.09479i −0.267942 + 0.119295i −0.536310 0.844021i \(-0.680182\pi\)
0.268368 + 0.963316i \(0.413516\pi\)
\(674\) 29.1904 + 21.2081i 1.12437 + 0.816905i
\(675\) −9.05662 + 24.3511i −0.348590 + 0.937275i
\(676\) −3.15217 5.45972i −0.121237 0.209989i
\(677\) −35.8294 20.6861i −1.37704 0.795032i −0.385234 0.922819i \(-0.625879\pi\)
−0.991802 + 0.127787i \(0.959213\pi\)
\(678\) −0.470705 + 2.81792i −0.0180773 + 0.108222i
\(679\) 5.67506 1.20627i 0.217789 0.0462924i
\(680\) 0.00251333 0.0728524i 9.63818e−5 0.00279376i
\(681\) 28.7677 28.2866i 1.10238 1.08395i
\(682\) 26.2346 + 16.7208i 1.00458 + 0.640272i
\(683\) 23.9923 0.918040 0.459020 0.888426i \(-0.348201\pi\)
0.459020 + 0.888426i \(0.348201\pi\)
\(684\) 4.50236 1.37941i 0.172152 0.0527432i
\(685\) −17.8116 2.49560i −0.680545 0.0953520i
\(686\) −8.00430 11.0170i −0.305606 0.420630i
\(687\) −20.9537 + 5.42558i −0.799433 + 0.206999i
\(688\) −4.25353 7.36733i −0.162164 0.280877i
\(689\) 4.75462 10.6791i 0.181137 0.406840i
\(690\) −3.73764 0.757645i −0.142290 0.0288431i
\(691\) −2.00585 + 0.893063i −0.0763062 + 0.0339737i −0.444535 0.895762i \(-0.646631\pi\)
0.368229 + 0.929735i \(0.379964\pi\)
\(692\) −6.96713 1.48091i −0.264851 0.0562957i
\(693\) −1.55473 17.6508i −0.0590592 0.670499i
\(694\) −19.4420 17.5057i −0.738009 0.664506i
\(695\) 17.0107 + 42.0519i 0.645252 + 1.59512i
\(696\) −3.51616 4.41774i −0.133280 0.167454i
\(697\) −0.0873326 + 0.268782i −0.00330796 + 0.0101808i
\(698\) −3.11573 + 9.58923i −0.117932 + 0.362958i
\(699\) −27.1123 34.0642i −1.02548 1.28843i
\(700\) −5.28193 + 0.188905i −0.199638 + 0.00713996i
\(701\) −32.2964 29.0798i −1.21982 1.09833i −0.992210 0.124578i \(-0.960242\pi\)
−0.227609 0.973753i \(-0.573091\pi\)
\(702\) −14.8117 + 17.3733i −0.559030 + 0.655713i
\(703\) −4.36148 0.927061i −0.164496 0.0349648i
\(704\) −5.10447 + 2.27266i −0.192382 + 0.0856540i
\(705\) −8.80957 + 43.4597i −0.331788 + 1.63679i
\(706\) −9.26138 + 20.8014i −0.348557 + 0.782871i
\(707\) −6.30401 10.9189i −0.237087 0.410646i
\(708\) 14.9111 3.86097i 0.560394 0.145104i
\(709\) −2.81846 3.87927i −0.105849 0.145689i 0.752806 0.658242i \(-0.228700\pi\)
−0.858656 + 0.512553i \(0.828700\pi\)
\(710\) −10.7251 1.50271i −0.402507 0.0563958i
\(711\) −1.10811 3.61684i −0.0415574 0.135642i
\(712\) −4.00593 −0.150128
\(713\) 5.47721 + 0.240257i 0.205123 + 0.00899769i
\(714\) 0.0425593 0.0418476i 0.00159274 0.00156611i
\(715\) −54.8624 1.89270i −2.05174 0.0707828i
\(716\) 20.5657 4.37138i 0.768577 0.163366i
\(717\) −2.11636 + 12.6698i −0.0790368 + 0.473162i
\(718\) 14.4006 + 8.31419i 0.537426 + 0.310283i
\(719\) 6.78818 + 11.7575i 0.253156 + 0.438480i 0.964393 0.264473i \(-0.0851979\pi\)
−0.711237 + 0.702953i \(0.751865\pi\)
\(720\) 4.74821 + 4.73862i 0.176955 + 0.176598i
\(721\) 11.9213 + 8.66135i 0.443973 + 0.322565i
\(722\) 15.1066 6.72589i 0.562209 0.250312i
\(723\) −13.1794 20.6741i −0.490148 0.768878i
\(724\) −2.09980 + 0.220698i −0.0780386 + 0.00820218i
\(725\) −16.1387 + 2.28201i −0.599376 + 0.0847519i
\(726\) −34.9585 2.12781i −1.29743 0.0789705i
\(727\) 10.8327 + 1.13857i 0.401764 + 0.0422271i 0.303256 0.952909i \(-0.401926\pi\)
0.0985079 + 0.995136i \(0.468593\pi\)
\(728\) −4.41707 1.43519i −0.163708 0.0531918i
\(729\) 25.2237 + 9.63136i 0.934213 + 0.356717i
\(730\) −11.8969 5.79630i −0.440324 0.214531i
\(731\) 0.206096 0.185570i 0.00762275 0.00686355i
\(732\) 0.433404 0.0190508i 0.0160191 0.000704136i
\(733\) −14.9338 + 1.56960i −0.551591 + 0.0579746i −0.376224 0.926529i \(-0.622778\pi\)
−0.175367 + 0.984503i \(0.556111\pi\)
\(734\) −10.9686 2.33146i −0.404860 0.0860556i
\(735\) 17.0745 + 15.0844i 0.629802 + 0.556398i
\(736\) −0.578782 + 0.796625i −0.0213342 + 0.0293640i
\(737\) −13.2698 + 29.8044i −0.488798 + 1.09786i
\(738\) −12.6221 22.7392i −0.464625 0.837042i
\(739\) 15.8027 + 9.12371i 0.581313 + 0.335621i 0.761655 0.647983i \(-0.224387\pi\)
−0.180342 + 0.983604i \(0.557721\pi\)
\(740\) −1.75343 6.10523i −0.0644574 0.224433i
\(741\) 6.59000 9.96278i 0.242090 0.365992i
\(742\) −0.869077 2.67474i −0.0319048 0.0981930i
\(743\) 2.07548i 0.0761419i 0.999275 + 0.0380710i \(0.0121213\pi\)
−0.999275 + 0.0380710i \(0.987879\pi\)
\(744\) −7.80239 5.66768i −0.286050 0.207787i
\(745\) −15.5785 5.66269i −0.570754 0.207465i
\(746\) 11.4590 3.72325i 0.419543 0.136318i
\(747\) 24.6356 4.80374i 0.901369 0.175760i
\(748\) −0.107067 0.147365i −0.00391477 0.00538821i
\(749\) −16.5858 9.57584i −0.606033 0.349893i
\(750\) 18.7405 4.87780i 0.684307 0.178112i
\(751\) −14.9351 6.64954i −0.544990 0.242645i 0.115726 0.993281i \(-0.463081\pi\)
−0.660716 + 0.750636i \(0.729747\pi\)
\(752\) 9.26281 + 6.72983i 0.337780 + 0.245411i
\(753\) −17.7461 + 45.0900i −0.646704 + 1.64317i
\(754\) −14.0097 2.97786i −0.510203 0.108447i
\(755\) −7.60523 + 30.5578i −0.276783 + 1.11211i
\(756\) 0.148635 + 5.49065i 0.00540579 + 0.199693i
\(757\) 10.0909 + 11.2071i 0.366759 + 0.407327i 0.898072 0.439848i \(-0.144968\pi\)
−0.531313 + 0.847176i \(0.678301\pi\)
\(758\) 3.14994 29.9697i 0.114411 1.08855i
\(759\) −8.52717 + 4.25463i −0.309517 + 0.154433i
\(760\) −2.76670 2.15970i −0.100359 0.0783407i
\(761\) 1.45062 13.8017i 0.0525849 0.500312i −0.936254 0.351324i \(-0.885732\pi\)
0.988839 0.148988i \(-0.0476016\pi\)
\(762\) 6.51179 + 0.396352i 0.235897 + 0.0143583i
\(763\) −9.42224 8.48382i −0.341108 0.307135i
\(764\) −25.9151 + 2.72378i −0.937575 + 0.0985431i
\(765\) −0.118920 + 0.183527i −0.00429957 + 0.00663542i
\(766\) −6.97756 15.6718i −0.252109 0.566247i
\(767\) 22.9661 31.6101i 0.829258 1.14138i
\(768\) 1.62219 0.607055i 0.0585356 0.0219052i
\(769\) −21.8809 37.8988i −0.789044 1.36666i −0.926553 0.376164i \(-0.877243\pi\)
0.137509 0.990500i \(-0.456090\pi\)
\(770\) −10.1136 + 8.49360i −0.364470 + 0.306088i
\(771\) 5.63013 33.7053i 0.202764 1.21387i
\(772\) −1.89534 8.91686i −0.0682146 0.320925i
\(773\) −1.37625 + 0.447171i −0.0495003 + 0.0160836i −0.333662 0.942693i \(-0.608285\pi\)
0.284162 + 0.958776i \(0.408285\pi\)
\(774\) −0.430368 + 25.5176i −0.0154693 + 0.917210i
\(775\) −25.5228 + 11.1170i −0.916805 + 0.399335i
\(776\) 5.48864i 0.197031i
\(777\) 2.40021 4.61407i 0.0861070 0.165529i
\(778\) −15.1760 + 3.22576i −0.544086 + 0.115649i
\(779\) 7.99829 + 11.0087i 0.286568 + 0.394427i
\(780\) 16.9394 + 1.61884i 0.606529 + 0.0579638i
\(781\) −23.4364 + 13.5310i −0.838620 + 0.484178i
\(782\) −0.0293254 0.0130565i −0.00104867 0.000466899i
\(783\) 2.22578 + 16.7918i 0.0795430 + 0.600090i
\(784\) 5.37404 2.39268i 0.191930 0.0854527i
\(785\) −10.7304 6.69879i −0.382983 0.239090i
\(786\) −7.93511 + 9.63184i −0.283036 + 0.343556i
\(787\) 8.53965 9.48424i 0.304405 0.338077i −0.571462 0.820629i \(-0.693623\pi\)
0.875867 + 0.482552i \(0.160290\pi\)
\(788\) 4.46063 4.01637i 0.158904 0.143077i
\(789\) −30.9803 + 24.6577i −1.10293 + 0.877839i
\(790\) −1.73493 + 2.22254i −0.0617262 + 0.0790746i
\(791\) 1.65825 + 0.538799i 0.0589607 + 0.0191575i
\(792\) 16.6389 + 2.03305i 0.591237 + 0.0722411i
\(793\) 0.817809 0.736358i 0.0290412 0.0261489i
\(794\) 25.3040 + 22.7838i 0.898005 + 0.808567i
\(795\) 5.23621 + 8.87479i 0.185709 + 0.314756i
\(796\) 0.243400 1.14510i 0.00862707 0.0405872i
\(797\) 4.01693 + 9.02218i 0.142287 + 0.319582i 0.970606 0.240675i \(-0.0773689\pi\)
−0.828319 + 0.560257i \(0.810702\pi\)
\(798\) −0.425618 2.84215i −0.0150667 0.100611i
\(799\) −0.151815 + 0.340983i −0.00537084 + 0.0120631i
\(800\) 0.864091 4.92477i 0.0305502 0.174117i
\(801\) 10.3049 + 6.18354i 0.364106 + 0.218485i
\(802\) −22.3362 + 16.2282i −0.788717 + 0.573036i
\(803\) −32.3463 + 6.87541i −1.14148 + 0.242628i
\(804\) 4.66713 8.97192i 0.164597 0.316415i
\(805\) −0.795116 + 2.18743i −0.0280242 + 0.0770968i
\(806\) −24.4176 + 1.48846i −0.860073 + 0.0524287i
\(807\) −6.83230 + 6.71804i −0.240508 + 0.236486i
\(808\) 11.3436 3.68577i 0.399068 0.129665i
\(809\) 24.6775 5.24537i 0.867616 0.184417i 0.247462 0.968898i \(-0.420404\pi\)
0.620154 + 0.784480i \(0.287070\pi\)
\(810\) −4.89982 19.5190i −0.172162 0.685828i
\(811\) 20.3669 35.2765i 0.715179 1.23873i −0.247712 0.968834i \(-0.579679\pi\)
0.962891 0.269892i \(-0.0869880\pi\)
\(812\) −2.98420 + 1.72293i −0.104725 + 0.0604630i
\(813\) 6.26035 + 16.7290i 0.219560 + 0.586713i
\(814\) −12.8412 9.32969i −0.450085 0.327006i
\(815\) −0.229136 + 0.0161197i −0.00802627 + 0.000564650i
\(816\) 0.0303525 + 0.0476130i 0.00106255 + 0.00166679i
\(817\) −1.39578 13.2799i −0.0488320 0.464605i
\(818\) −17.5543 15.8059i −0.613771 0.552642i
\(819\) 9.14716 + 10.5101i 0.319628 + 0.367252i
\(820\) −8.49041 + 17.4265i −0.296498 + 0.608561i
\(821\) 9.15029 28.1617i 0.319347 0.982850i −0.654580 0.755992i \(-0.727155\pi\)
0.973928 0.226858i \(-0.0728453\pi\)
\(822\) 12.4660 6.21990i 0.434801 0.216944i
\(823\) −2.61305 + 24.8615i −0.0910853 + 0.866619i 0.849620 + 0.527395i \(0.176831\pi\)
−0.940706 + 0.339224i \(0.889836\pi\)
\(824\) −10.3595 + 9.32775i −0.360891 + 0.324948i
\(825\) 29.4140 38.4235i 1.02406 1.33773i
\(826\) −0.982599 9.34881i −0.0341890 0.325287i
\(827\) −7.92081 + 37.2645i −0.275434 + 1.29581i 0.595079 + 0.803667i \(0.297121\pi\)
−0.870513 + 0.492146i \(0.836213\pi\)
\(828\) 2.71853 1.15584i 0.0944756 0.0401682i
\(829\) 16.6094 22.8609i 0.576870 0.793993i −0.416478 0.909146i \(-0.636736\pi\)
0.993348 + 0.115153i \(0.0367358\pi\)
\(830\) −13.4630 12.9901i −0.467306 0.450892i
\(831\) 25.3400 + 7.01936i 0.879034 + 0.243499i
\(832\) 2.19684 3.80503i 0.0761616 0.131916i
\(833\) 0.112721 + 0.155148i 0.00390557 + 0.00537555i
\(834\) −29.3063 19.3850i −1.01479 0.671247i
\(835\) −1.34234 + 38.9096i −0.0464536 + 1.34652i
\(836\) −8.77046 −0.303333
\(837\) 11.3223 + 26.6234i 0.391357 + 0.920239i
\(838\) 23.3764i 0.807525i
\(839\) 2.63350 0.855677i 0.0909187 0.0295413i −0.263204 0.964740i \(-0.584779\pi\)
0.354123 + 0.935199i \(0.384779\pi\)
\(840\) 3.28923 2.43755i 0.113489 0.0841035i
\(841\) 14.8644 10.7996i 0.512565 0.372400i
\(842\) 19.1226 33.1214i 0.659010 1.14144i
\(843\) −4.17963 + 15.0885i −0.143954 + 0.519676i
\(844\) −13.6369 6.07152i −0.469400 0.208990i
\(845\) 11.6836 7.88783i 0.401927 0.271349i
\(846\) −13.4396 31.6099i −0.462063 1.08677i
\(847\) −4.44400 + 20.9074i −0.152698 + 0.718386i
\(848\) 2.64600 0.278106i 0.0908640 0.00955019i
\(849\) 36.4437 1.60193i 1.25075 0.0549780i
\(850\) 0.162896 0.00582587i 0.00558728 0.000199826i
\(851\) −2.78188 0.292387i −0.0953616 0.0100229i
\(852\) 7.50633 3.74528i 0.257162 0.128311i
\(853\) 11.7355 + 3.81311i 0.401818 + 0.130558i 0.502952 0.864314i \(-0.332247\pi\)
−0.101135 + 0.994873i \(0.532247\pi\)
\(854\) 0.0276749 0.263309i 0.000947016 0.00901025i
\(855\) 3.78337 + 9.82631i 0.129388 + 0.336053i
\(856\) 12.1232 13.4642i 0.414362 0.460196i
\(857\) 0.132213 + 1.25792i 0.00451630 + 0.0429697i 0.996548 0.0830192i \(-0.0264563\pi\)
−0.992032 + 0.125989i \(0.959790\pi\)
\(858\) 35.8556 22.8574i 1.22409 0.780338i
\(859\) 14.9730 + 33.6299i 0.510872 + 1.14744i 0.966360 + 0.257195i \(0.0827982\pi\)
−0.455488 + 0.890242i \(0.650535\pi\)
\(860\) 15.7658 10.6438i 0.537609 0.362951i
\(861\) −14.8654 + 5.56295i −0.506613 + 0.189585i
\(862\) −12.4603 + 7.19396i −0.424400 + 0.245027i
\(863\) 22.2948 + 12.8719i 0.758923 + 0.438165i 0.828909 0.559383i \(-0.188962\pi\)
−0.0699858 + 0.997548i \(0.522295\pi\)
\(864\) −5.10998 0.942407i −0.173845 0.0320613i
\(865\) 2.20997 15.7730i 0.0751412 0.536296i
\(866\) −8.23904 25.3572i −0.279974 0.861671i
\(867\) 20.9942 20.6431i 0.712999 0.701076i
\(868\) −4.12604 + 4.19698i −0.140047 + 0.142455i
\(869\) 7.04549i 0.239002i
\(870\) 9.30226 8.53621i 0.315376 0.289405i
\(871\) −5.33379 25.0935i −0.180728 0.850260i
\(872\) 9.70371 7.05016i 0.328609 0.238748i
\(873\) 8.47226 14.1191i 0.286743 0.477858i
\(874\) −1.33853 + 0.772801i −0.0452765 + 0.0261404i
\(875\) −1.25021 11.7520i −0.0422646 0.397290i
\(876\) 10.1378 1.51816i 0.342525 0.0512938i
\(877\) 2.39384 + 5.37665i 0.0808342 + 0.181557i 0.949441 0.313945i \(-0.101651\pi\)
−0.868607 + 0.495502i \(0.834984\pi\)
\(878\) −34.5806 7.35034i −1.16704 0.248062i
\(879\) −19.2761 15.8804i −0.650166 0.535633i
\(880\) −5.87028 11.0292i −0.197887 0.371794i
\(881\) −18.7047 20.7737i −0.630178 0.699884i 0.340506 0.940242i \(-0.389402\pi\)
−0.970684 + 0.240359i \(0.922735\pi\)
\(882\) −17.5176 2.14041i −0.589848 0.0720713i
\(883\) 8.94576 27.5322i 0.301049 0.926533i −0.680073 0.733144i \(-0.738052\pi\)
0.981122 0.193389i \(-0.0619479\pi\)
\(884\) 0.136223 + 0.0442616i 0.00458168 + 0.00148868i
\(885\) 10.9520 + 32.6542i 0.368146 + 1.09766i
\(886\) 4.98175 + 5.53279i 0.167365 + 0.185878i
\(887\) −16.9225 + 18.7943i −0.568201 + 0.631052i −0.956936 0.290298i \(-0.906246\pi\)
0.388735 + 0.921350i \(0.372912\pi\)
\(888\) 3.79752 + 3.12855i 0.127436 + 0.104987i
\(889\) 0.827794 3.89446i 0.0277633 0.130616i
\(890\) −0.628610 8.93544i −0.0210711 0.299517i
\(891\) −39.6639 30.9136i −1.32879 1.03564i
\(892\) 2.78709 + 1.24089i 0.0933188 + 0.0415482i
\(893\) 8.98579 + 15.5639i 0.300698 + 0.520824i
\(894\) 12.4296 3.21843i 0.415709 0.107640i
\(895\) 12.9778 + 45.1870i 0.433799 + 1.51044i
\(896\) −0.219776 1.03396i −0.00734219 0.0345423i
\(897\) 3.45815 6.64783i 0.115464 0.221965i
\(898\) −14.7617 −0.492606
\(899\) −11.3016 + 14.2021i −0.376928 + 0.473666i
\(900\) −9.82466 + 11.3347i −0.327489 + 0.377824i
\(901\) 0.0268025 + 0.0824895i 0.000892920 + 0.00274813i
\(902\) 10.0711 + 47.3808i 0.335331 + 1.57761i
\(903\) 15.3626 + 2.56617i 0.511236 + 0.0853967i
\(904\) −0.824735 + 1.42848i −0.0274303 + 0.0475106i
\(905\) −0.821781 4.64909i −0.0273169 0.154541i
\(906\) −8.54899 22.8448i −0.284021 0.758967i
\(907\) 20.8652 28.7184i 0.692816 0.953579i −0.307182 0.951651i \(-0.599386\pi\)
0.999998 0.00192861i \(-0.000613897\pi\)
\(908\) 21.2794 9.47418i 0.706181 0.314412i
\(909\) −34.8699 8.02870i −1.15656 0.266295i
\(910\) 2.50815 10.0777i 0.0831444 0.334074i
\(911\) 18.2839 20.3063i 0.605772 0.672778i −0.359765 0.933043i \(-0.617143\pi\)
0.965537 + 0.260265i \(0.0838098\pi\)
\(912\) 2.71368 + 0.165173i 0.0898590 + 0.00546943i
\(913\) −46.4922 4.88653i −1.53867 0.161721i
\(914\) 9.51504 29.2843i 0.314730 0.968638i
\(915\) 0.110503 + 0.963741i 0.00365313 + 0.0318603i
\(916\) −12.4281 1.30625i −0.410637 0.0431597i
\(917\) 5.09623 + 5.65993i 0.168292 + 0.186907i
\(918\) −0.00458392 0.169332i −0.000151292 0.00558880i
\(919\) 0.224075 + 2.13193i 0.00739155 + 0.0703259i 0.997596 0.0693002i \(-0.0220766\pi\)
−0.990204 + 0.139626i \(0.955410\pi\)
\(920\) −1.86774 1.16600i −0.0615775 0.0384418i
\(921\) −53.6818 21.1275i −1.76887 0.696176i
\(922\) 26.0934 + 18.9580i 0.859341 + 0.624348i
\(923\) 8.65526 19.4400i 0.284891 0.639877i
\(924\) 2.73098 9.85889i 0.0898428 0.324334i
\(925\) 13.3429 4.86916i 0.438712 0.160097i
\(926\) −4.46303 + 3.24258i −0.146664 + 0.106558i
\(927\) 41.0473 8.00388i 1.34817 0.262882i
\(928\) −1.00735 3.10030i −0.0330678 0.101772i
\(929\) −1.54371 −0.0506473 −0.0253237 0.999679i \(-0.508062\pi\)
−0.0253237 + 0.999679i \(0.508062\pi\)
\(930\) 11.4177 18.2930i 0.374402 0.599853i
\(931\) 9.23362 0.302620
\(932\) −7.76743 23.9057i −0.254431 0.783057i
\(933\) −35.5905 23.5418i −1.16518 0.770723i
\(934\) −19.0574 + 13.8460i −0.623577 + 0.453055i
\(935\) 0.311906 0.261944i 0.0102004 0.00856648i
\(936\) −11.5246 + 6.39707i −0.376693 + 0.209095i
\(937\) −0.799364 + 1.79540i −0.0261141 + 0.0586532i −0.926132 0.377200i \(-0.876887\pi\)
0.900018 + 0.435854i \(0.143553\pi\)
\(938\) −4.99330 3.62784i −0.163037 0.118453i
\(939\) −0.261771 + 0.665119i −0.00854257 + 0.0217053i
\(940\) −13.5577 + 21.7173i −0.442204 + 0.708339i
\(941\) 0.0669443 + 0.636933i 0.00218232 + 0.0207634i 0.995559 0.0941411i \(-0.0300105\pi\)
−0.993377 + 0.114904i \(0.963344\pi\)
\(942\) 9.78894 0.430284i 0.318941 0.0140194i
\(943\) 5.71194 + 6.34376i 0.186007 + 0.206581i
\(944\) 8.84414 + 0.929557i 0.287852 + 0.0302545i
\(945\) −12.2239 + 1.19313i −0.397642 + 0.0388125i
\(946\) 14.6887 45.2071i 0.477570 1.46981i
\(947\) −25.9758 2.73016i −0.844098 0.0887183i −0.327400 0.944886i \(-0.606172\pi\)
−0.516698 + 0.856167i \(0.672839\pi\)
\(948\) 0.132687 2.17996i 0.00430948 0.0708017i
\(949\) 17.3995 19.3241i 0.564812 0.627288i
\(950\) 4.38319 6.51017i 0.142209 0.211218i
\(951\) 29.2872 18.6701i 0.949701 0.605420i
\(952\) 0.0314809 0.0140162i 0.00102030 0.000454268i
\(953\) −6.11182 + 8.41220i −0.197981 + 0.272498i −0.896452 0.443141i \(-0.853864\pi\)
0.698471 + 0.715639i \(0.253864\pi\)
\(954\) −7.23589 3.36896i −0.234270 0.109074i
\(955\) −10.1421 57.3776i −0.328192 1.85670i
\(956\) −3.70813 + 6.42266i −0.119929 + 0.207724i
\(957\) 5.19784 31.1174i 0.168022 1.00588i
\(958\) 7.31834 + 34.4301i 0.236445 + 1.11239i
\(959\) −2.62737 8.08622i −0.0848423 0.261118i
\(960\) 1.60862 + 3.52311i 0.0519181 + 0.113708i
\(961\) −12.1243 + 28.5307i −0.391106 + 0.920346i
\(962\) 12.4812 0.402409
\(963\) −51.9691 + 15.9220i −1.67468 + 0.513081i
\(964\) −2.94305 13.8460i −0.0947892 0.445948i
\(965\) 19.5921 5.62688i 0.630693 0.181136i
\(966\) −0.451910 1.74528i −0.0145400 0.0561536i
\(967\) −3.52860 6.11172i −0.113472 0.196540i 0.803696 0.595040i \(-0.202864\pi\)
−0.917168 + 0.398501i \(0.869531\pi\)
\(968\) −18.4725 8.22447i −0.593728 0.264345i
\(969\) 0.0131261 + 0.0876523i 0.000421672 + 0.00281580i
\(970\) −12.2427 + 0.861278i −0.393090 + 0.0276540i
\(971\) 3.22904 15.1914i 0.103625 0.487516i −0.895476 0.445110i \(-0.853164\pi\)
0.999100 0.0424056i \(-0.0135022\pi\)
\(972\) 11.6903 + 10.3120i 0.374966 + 0.330758i
\(973\) −14.3489 + 15.9361i −0.460006 + 0.510889i
\(974\) 9.16648 + 10.1804i 0.293713 + 0.326201i
\(975\) −0.952781 + 38.0384i −0.0305134 + 1.21820i
\(976\) 0.238209 + 0.0773986i 0.00762487 + 0.00247747i
\(977\) 13.7068 42.1853i 0.438520 1.34963i −0.450915 0.892567i \(-0.648902\pi\)
0.889436 0.457060i \(-0.151098\pi\)
\(978\) 0.139214 0.110803i 0.00445157 0.00354308i
\(979\) −14.9773 16.6340i −0.478678 0.531626i
\(980\) 6.18029 + 11.6116i 0.197422 + 0.370920i
\(981\) −35.8446 + 3.15728i −1.14443 + 0.100804i
\(982\) 26.7508 + 5.68606i 0.853653 + 0.181450i
\(983\) 24.0439 + 54.0035i 0.766882 + 1.72245i 0.688172 + 0.725547i \(0.258413\pi\)
0.0787098 + 0.996898i \(0.474920\pi\)
\(984\) −2.22380 14.8498i −0.0708920 0.473395i
\(985\) 9.65870 + 9.31944i 0.307752 + 0.296942i
\(986\) 0.0920333 0.0531354i 0.00293094 0.00169218i
\(987\) −20.2934 + 5.25461i −0.645946 + 0.167256i
\(988\) 5.57939 4.05366i 0.177504 0.128964i
\(989\) −1.74163 8.19370i −0.0553805 0.260545i
\(990\) −1.92385 + 37.4330i −0.0611438 + 1.18970i
\(991\) 50.2400i 1.59593i 0.602705 + 0.797964i \(0.294089\pi\)
−0.602705 + 0.797964i \(0.705911\pi\)
\(992\) −3.07211 4.64350i −0.0975396 0.147431i
\(993\) −8.26858 8.40921i −0.262395 0.266858i
\(994\) −1.58206 4.86907i −0.0501798 0.154438i
\(995\) 2.59241 + 0.363226i 0.0821850 + 0.0115150i
\(996\) 14.2932 + 2.38753i 0.452898 + 0.0756519i
\(997\) −22.5205 13.0022i −0.713232 0.411785i 0.0990244 0.995085i \(-0.468428\pi\)
−0.812257 + 0.583300i \(0.801761\pi\)
\(998\) −1.95633 + 1.12949i −0.0619266 + 0.0357533i
\(999\) −4.93955 13.9098i −0.156281 0.440086i
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 930.2.bo.b.179.11 yes 256
3.2 odd 2 930.2.bo.a.179.6 256
5.4 even 2 930.2.bo.a.179.22 yes 256
15.14 odd 2 inner 930.2.bo.b.179.27 yes 256
31.22 odd 30 inner 930.2.bo.b.239.27 yes 256
93.53 even 30 930.2.bo.a.239.22 yes 256
155.84 odd 30 930.2.bo.a.239.6 yes 256
465.239 even 30 inner 930.2.bo.b.239.11 yes 256
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
930.2.bo.a.179.6 256 3.2 odd 2
930.2.bo.a.179.22 yes 256 5.4 even 2
930.2.bo.a.239.6 yes 256 155.84 odd 30
930.2.bo.a.239.22 yes 256 93.53 even 30
930.2.bo.b.179.11 yes 256 1.1 even 1 trivial
930.2.bo.b.179.27 yes 256 15.14 odd 2 inner
930.2.bo.b.239.11 yes 256 465.239 even 30 inner
930.2.bo.b.239.27 yes 256 31.22 odd 30 inner