Properties

Label 115.2.g.c.26.2
Level $115$
Weight $2$
Character 115.26
Analytic conductor $0.918$
Analytic rank $0$
Dimension $50$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [115,2,Mod(6,115)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(115, base_ring=CyclotomicField(22))
 
chi = DirichletCharacter(H, H._module([0, 18]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("115.6");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 115 = 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 115.g (of order \(11\), degree \(10\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(0.918279623245\)
Analytic rank: \(0\)
Dimension: \(50\)
Relative dimension: \(5\) over \(\Q(\zeta_{11})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{11}]$

Embedding invariants

Embedding label 26.2
Character \(\chi\) \(=\) 115.26
Dual form 115.2.g.c.31.2

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.166938 - 1.16108i) q^{2} +(-0.526900 + 1.15375i) q^{3} +(0.598752 - 0.175809i) q^{4} +(-0.654861 + 0.755750i) q^{5} +(1.42755 + 0.419168i) q^{6} +(4.23310 - 2.72045i) q^{7} +(-1.27866 - 2.79988i) q^{8} +(0.911065 + 1.05142i) q^{9} +O(q^{10})\) \(q+(-0.166938 - 1.16108i) q^{2} +(-0.526900 + 1.15375i) q^{3} +(0.598752 - 0.175809i) q^{4} +(-0.654861 + 0.755750i) q^{5} +(1.42755 + 0.419168i) q^{6} +(4.23310 - 2.72045i) q^{7} +(-1.27866 - 2.79988i) q^{8} +(0.911065 + 1.05142i) q^{9} +(0.986805 + 0.634181i) q^{10} +(-0.353136 + 2.45612i) q^{11} +(-0.112642 + 0.783444i) q^{12} +(-2.10528 - 1.35298i) q^{13} +(-3.86532 - 4.46082i) q^{14} +(-0.526900 - 1.15375i) q^{15} +(-1.98749 + 1.27728i) q^{16} +(-1.81127 - 0.531837i) q^{17} +(1.06870 - 1.23334i) q^{18} +(-3.66705 + 1.07674i) q^{19} +(-0.259231 + 0.567637i) q^{20} +(0.908298 + 6.31735i) q^{21} +2.91069 q^{22} +(-0.932397 + 4.70432i) q^{23} +3.90409 q^{24} +(-0.142315 - 0.989821i) q^{25} +(-1.21947 + 2.67026i) q^{26} +(-5.34410 + 1.56917i) q^{27} +(2.05630 - 2.37309i) q^{28} +(2.95230 + 0.866872i) q^{29} +(-1.25164 + 0.804377i) q^{30} +(-0.365481 - 0.800291i) q^{31} +(-2.21656 - 2.55804i) q^{32} +(-2.64768 - 1.70156i) q^{33} +(-0.315135 + 2.19181i) q^{34} +(-0.716114 + 4.98068i) q^{35} +(0.730352 + 0.469369i) q^{36} +(-3.98875 - 4.60326i) q^{37} +(1.86235 + 4.07798i) q^{38} +(2.67028 - 1.71608i) q^{39} +(2.95335 + 0.867182i) q^{40} +(-0.518323 + 0.598177i) q^{41} +(7.18331 - 2.10921i) q^{42} +(-4.06629 + 8.90393i) q^{43} +(0.220367 + 1.53269i) q^{44} -1.39123 q^{45} +(5.61774 + 0.297256i) q^{46} -3.72333 q^{47} +(-0.426455 - 2.96606i) q^{48} +(7.61040 - 16.6645i) q^{49} +(-1.12550 + 0.330477i) q^{50} +(1.56797 - 1.80953i) q^{51} +(-1.49841 - 0.439972i) q^{52} +(11.8137 - 7.59218i) q^{53} +(2.71406 + 5.94297i) q^{54} +(-1.62495 - 1.87530i) q^{55} +(-13.0296 - 8.37363i) q^{56} +(0.689876 - 4.79819i) q^{57} +(0.513656 - 3.57256i) q^{58} +(-9.56417 - 6.14652i) q^{59} +(-0.518323 - 0.598176i) q^{60} +(3.20714 + 7.02265i) q^{61} +(-0.868188 + 0.557951i) q^{62} +(6.71698 + 1.97228i) q^{63} +(-5.69432 + 6.57159i) q^{64} +(2.40118 - 0.705050i) q^{65} +(-1.53365 + 3.35822i) q^{66} +(0.625402 + 4.34977i) q^{67} -1.17800 q^{68} +(-4.93634 - 3.55446i) q^{69} +5.90251 q^{70} +(-1.25724 - 8.74429i) q^{71} +(1.77892 - 3.89529i) q^{72} +(5.14563 - 1.51089i) q^{73} +(-4.67887 + 5.39971i) q^{74} +(1.21699 + 0.357341i) q^{75} +(-2.00635 + 1.28940i) q^{76} +(5.18688 + 11.3577i) q^{77} +(-2.43828 - 2.81392i) q^{78} +(11.0500 + 7.10141i) q^{79} +(0.336223 - 2.33848i) q^{80} +(0.411398 - 2.86134i) q^{81} +(0.781058 + 0.501956i) q^{82} +(2.60507 + 3.00641i) q^{83} +(1.65449 + 3.62284i) q^{84} +(1.58806 - 1.02059i) q^{85} +(11.0170 + 3.23488i) q^{86} +(-2.55572 + 2.94946i) q^{87} +(7.32836 - 2.15180i) q^{88} +(0.784078 - 1.71689i) q^{89} +(0.232250 + 1.61533i) q^{90} -12.5926 q^{91} +(0.268790 + 2.98064i) q^{92} +1.11591 q^{93} +(0.621565 + 4.32308i) q^{94} +(1.58766 - 3.47648i) q^{95} +(4.11925 - 1.20952i) q^{96} +(-3.27672 + 3.78154i) q^{97} +(-20.6192 - 6.05434i) q^{98} +(-2.90415 + 1.86638i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 50 q - 5 q^{2} - 2 q^{3} - 11 q^{4} - 5 q^{5} - 11 q^{6} - 5 q^{7} - 2 q^{8} + 3 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 50 q - 5 q^{2} - 2 q^{3} - 11 q^{4} - 5 q^{5} - 11 q^{6} - 5 q^{7} - 2 q^{8} + 3 q^{9} - 5 q^{10} - 16 q^{11} - 9 q^{12} - 14 q^{13} - 12 q^{14} - 2 q^{15} + 27 q^{16} + 38 q^{17} - 42 q^{18} - 5 q^{19} - 11 q^{20} - 9 q^{21} + 6 q^{22} - 8 q^{23} + 102 q^{24} - 5 q^{25} - 19 q^{26} + 7 q^{27} - 34 q^{28} - 38 q^{29} - 11 q^{30} + 2 q^{31} + 49 q^{32} - 2 q^{33} - 31 q^{34} + 6 q^{35} - 59 q^{36} - 35 q^{37} + 30 q^{38} + 32 q^{39} + 42 q^{40} - 11 q^{41} - 102 q^{42} + 6 q^{43} - 55 q^{44} + 58 q^{45} + 153 q^{46} - 10 q^{47} + 84 q^{48} + 6 q^{50} - 20 q^{51} - 97 q^{52} - 29 q^{53} + 19 q^{54} + 17 q^{55} + 77 q^{56} - 49 q^{57} - 12 q^{58} - 50 q^{59} + 2 q^{60} + 4 q^{61} + 126 q^{62} + 74 q^{63} - 44 q^{64} - 14 q^{65} - 144 q^{66} - 43 q^{67} + 54 q^{68} - 50 q^{69} - 12 q^{70} - 25 q^{71} - 14 q^{72} - 20 q^{73} - 47 q^{74} - 2 q^{75} - 26 q^{76} + 150 q^{77} + 174 q^{78} + 72 q^{79} - 28 q^{80} - 71 q^{81} - 11 q^{82} + 36 q^{83} + 100 q^{84} - 6 q^{85} - 20 q^{86} + 85 q^{87} - 45 q^{88} - 24 q^{89} - 42 q^{90} + 38 q^{91} + 74 q^{92} + 100 q^{93} + 150 q^{94} - 5 q^{95} - 169 q^{96} - 14 q^{97} - 44 q^{98} + 36 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/115\mathbb{Z}\right)^\times\).

\(n\) \(47\) \(51\)
\(\chi(n)\) \(1\) \(e\left(\frac{8}{11}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.166938 1.16108i −0.118043 0.821006i −0.959707 0.281004i \(-0.909333\pi\)
0.841664 0.540002i \(-0.181577\pi\)
\(3\) −0.526900 + 1.15375i −0.304206 + 0.666118i −0.998567 0.0535081i \(-0.982960\pi\)
0.694361 + 0.719627i \(0.255687\pi\)
\(4\) 0.598752 0.175809i 0.299376 0.0879047i
\(5\) −0.654861 + 0.755750i −0.292863 + 0.337981i
\(6\) 1.42755 + 0.419168i 0.582797 + 0.171125i
\(7\) 4.23310 2.72045i 1.59996 1.02823i 0.632719 0.774382i \(-0.281939\pi\)
0.967243 0.253851i \(-0.0816974\pi\)
\(8\) −1.27866 2.79988i −0.452075 0.989906i
\(9\) 0.911065 + 1.05142i 0.303688 + 0.350475i
\(10\) 0.986805 + 0.634181i 0.312055 + 0.200546i
\(11\) −0.353136 + 2.45612i −0.106475 + 0.740547i 0.864719 + 0.502256i \(0.167496\pi\)
−0.971194 + 0.238291i \(0.923413\pi\)
\(12\) −0.112642 + 0.783444i −0.0325170 + 0.226161i
\(13\) −2.10528 1.35298i −0.583900 0.375250i 0.215090 0.976594i \(-0.430996\pi\)
−0.798990 + 0.601345i \(0.794632\pi\)
\(14\) −3.86532 4.46082i −1.03305 1.19220i
\(15\) −0.526900 1.15375i −0.136045 0.297897i
\(16\) −1.98749 + 1.27728i −0.496871 + 0.319320i
\(17\) −1.81127 0.531837i −0.439297 0.128989i 0.0546024 0.998508i \(-0.482611\pi\)
−0.493900 + 0.869519i \(0.664429\pi\)
\(18\) 1.06870 1.23334i 0.251894 0.290701i
\(19\) −3.66705 + 1.07674i −0.841278 + 0.247022i −0.673855 0.738864i \(-0.735363\pi\)
−0.167423 + 0.985885i \(0.553545\pi\)
\(20\) −0.259231 + 0.567637i −0.0579658 + 0.126927i
\(21\) 0.908298 + 6.31735i 0.198207 + 1.37856i
\(22\) 2.91069 0.620562
\(23\) −0.932397 + 4.70432i −0.194418 + 0.980919i
\(24\) 3.90409 0.796919
\(25\) −0.142315 0.989821i −0.0284630 0.197964i
\(26\) −1.21947 + 2.67026i −0.239157 + 0.523681i
\(27\) −5.34410 + 1.56917i −1.02847 + 0.301987i
\(28\) 2.05630 2.37309i 0.388603 0.448472i
\(29\) 2.95230 + 0.866872i 0.548227 + 0.160974i 0.544105 0.839017i \(-0.316869\pi\)
0.00412285 + 0.999992i \(0.498688\pi\)
\(30\) −1.25164 + 0.804377i −0.228516 + 0.146859i
\(31\) −0.365481 0.800291i −0.0656423 0.143737i 0.873967 0.485985i \(-0.161539\pi\)
−0.939610 + 0.342248i \(0.888812\pi\)
\(32\) −2.21656 2.55804i −0.391836 0.452203i
\(33\) −2.64768 1.70156i −0.460902 0.296203i
\(34\) −0.315135 + 2.19181i −0.0540451 + 0.375892i
\(35\) −0.716114 + 4.98068i −0.121045 + 0.841889i
\(36\) 0.730352 + 0.469369i 0.121725 + 0.0782281i
\(37\) −3.98875 4.60326i −0.655746 0.756771i 0.326330 0.945256i \(-0.394188\pi\)
−0.982076 + 0.188485i \(0.939642\pi\)
\(38\) 1.86235 + 4.07798i 0.302113 + 0.661535i
\(39\) 2.67028 1.71608i 0.427587 0.274793i
\(40\) 2.95335 + 0.867182i 0.466966 + 0.137114i
\(41\) −0.518323 + 0.598177i −0.0809485 + 0.0934196i −0.794779 0.606899i \(-0.792413\pi\)
0.713830 + 0.700319i \(0.246959\pi\)
\(42\) 7.18331 2.10921i 1.10841 0.325458i
\(43\) −4.06629 + 8.90393i −0.620104 + 1.35784i 0.295341 + 0.955392i \(0.404567\pi\)
−0.915444 + 0.402445i \(0.868160\pi\)
\(44\) 0.220367 + 1.53269i 0.0332216 + 0.231061i
\(45\) −1.39123 −0.207393
\(46\) 5.61774 + 0.297256i 0.828290 + 0.0438280i
\(47\) −3.72333 −0.543103 −0.271552 0.962424i \(-0.587537\pi\)
−0.271552 + 0.962424i \(0.587537\pi\)
\(48\) −0.426455 2.96606i −0.0615535 0.428114i
\(49\) 7.61040 16.6645i 1.08720 2.38064i
\(50\) −1.12550 + 0.330477i −0.159170 + 0.0467365i
\(51\) 1.56797 1.80953i 0.219559 0.253385i
\(52\) −1.49841 0.439972i −0.207792 0.0610131i
\(53\) 11.8137 7.59218i 1.62273 1.04287i 0.668538 0.743678i \(-0.266920\pi\)
0.954194 0.299188i \(-0.0967159\pi\)
\(54\) 2.71406 + 5.94297i 0.369337 + 0.808735i
\(55\) −1.62495 1.87530i −0.219109 0.252865i
\(56\) −13.0296 8.37363i −1.74116 1.11897i
\(57\) 0.689876 4.79819i 0.0913763 0.635536i
\(58\) 0.513656 3.57256i 0.0674464 0.469100i
\(59\) −9.56417 6.14652i −1.24515 0.800209i −0.258969 0.965886i \(-0.583383\pi\)
−0.986180 + 0.165677i \(0.947019\pi\)
\(60\) −0.518323 0.598176i −0.0669152 0.0772242i
\(61\) 3.20714 + 7.02265i 0.410632 + 0.899158i 0.996081 + 0.0884489i \(0.0281910\pi\)
−0.585449 + 0.810709i \(0.699082\pi\)
\(62\) −0.868188 + 0.557951i −0.110260 + 0.0708598i
\(63\) 6.71698 + 1.97228i 0.846260 + 0.248484i
\(64\) −5.69432 + 6.57159i −0.711790 + 0.821449i
\(65\) 2.40118 0.705050i 0.297830 0.0874507i
\(66\) −1.53365 + 3.35822i −0.188779 + 0.413368i
\(67\) 0.625402 + 4.34977i 0.0764051 + 0.531409i 0.991695 + 0.128613i \(0.0410525\pi\)
−0.915290 + 0.402796i \(0.868038\pi\)
\(68\) −1.17800 −0.142854
\(69\) −4.93634 3.55446i −0.594265 0.427907i
\(70\) 5.90251 0.705484
\(71\) −1.25724 8.74429i −0.149207 1.03776i −0.917522 0.397685i \(-0.869814\pi\)
0.768315 0.640072i \(-0.221095\pi\)
\(72\) 1.77892 3.89529i 0.209647 0.459064i
\(73\) 5.14563 1.51089i 0.602250 0.176837i 0.0336266 0.999434i \(-0.489294\pi\)
0.568624 + 0.822598i \(0.307476\pi\)
\(74\) −4.67887 + 5.39971i −0.543908 + 0.627703i
\(75\) 1.21699 + 0.357341i 0.140526 + 0.0412622i
\(76\) −2.00635 + 1.28940i −0.230144 + 0.147905i
\(77\) 5.18688 + 11.3577i 0.591099 + 1.29433i
\(78\) −2.43828 2.81392i −0.276080 0.318614i
\(79\) 11.0500 + 7.10141i 1.24322 + 0.798972i 0.985897 0.167353i \(-0.0535219\pi\)
0.257327 + 0.966324i \(0.417158\pi\)
\(80\) 0.336223 2.33848i 0.0375909 0.261450i
\(81\) 0.411398 2.86134i 0.0457109 0.317927i
\(82\) 0.781058 + 0.501956i 0.0862534 + 0.0554317i
\(83\) 2.60507 + 3.00641i 0.285944 + 0.329997i 0.880490 0.474065i \(-0.157214\pi\)
−0.594546 + 0.804061i \(0.702668\pi\)
\(84\) 1.65449 + 3.62284i 0.180520 + 0.395284i
\(85\) 1.58806 1.02059i 0.172250 0.110698i
\(86\) 11.0170 + 3.23488i 1.18799 + 0.348826i
\(87\) −2.55572 + 2.94946i −0.274002 + 0.316215i
\(88\) 7.32836 2.15180i 0.781206 0.229383i
\(89\) 0.784078 1.71689i 0.0831121 0.181990i −0.863513 0.504326i \(-0.831741\pi\)
0.946625 + 0.322336i \(0.104468\pi\)
\(90\) 0.232250 + 1.61533i 0.0244813 + 0.170271i
\(91\) −12.5926 −1.32006
\(92\) 0.268790 + 2.98064i 0.0280233 + 0.310754i
\(93\) 1.11591 0.115714
\(94\) 0.621565 + 4.32308i 0.0641095 + 0.445891i
\(95\) 1.58766 3.47648i 0.162890 0.356680i
\(96\) 4.11925 1.20952i 0.420419 0.123446i
\(97\) −3.27672 + 3.78154i −0.332700 + 0.383957i −0.897310 0.441402i \(-0.854481\pi\)
0.564609 + 0.825358i \(0.309027\pi\)
\(98\) −20.6192 6.05434i −2.08285 0.611581i
\(99\) −2.90415 + 1.86638i −0.291878 + 0.187579i
\(100\) −0.259231 0.567637i −0.0259231 0.0567637i
\(101\) −5.95461 6.87199i −0.592506 0.683788i 0.377739 0.925912i \(-0.376702\pi\)
−0.970245 + 0.242124i \(0.922156\pi\)
\(102\) −2.36276 1.51845i −0.233948 0.150349i
\(103\) −2.32485 + 16.1697i −0.229075 + 1.59325i 0.472945 + 0.881092i \(0.343191\pi\)
−0.702020 + 0.712157i \(0.747718\pi\)
\(104\) −1.09624 + 7.62453i −0.107495 + 0.747647i
\(105\) −5.36914 3.45054i −0.523975 0.336738i
\(106\) −10.7873 12.4492i −1.04775 1.20917i
\(107\) 4.37421 + 9.57819i 0.422871 + 0.925958i 0.994430 + 0.105398i \(0.0336115\pi\)
−0.571559 + 0.820561i \(0.693661\pi\)
\(108\) −2.92392 + 1.87909i −0.281354 + 0.180815i
\(109\) 2.03758 + 0.598287i 0.195164 + 0.0573055i 0.377854 0.925865i \(-0.376662\pi\)
−0.182690 + 0.983171i \(0.558480\pi\)
\(110\) −1.90610 + 2.19976i −0.181739 + 0.209738i
\(111\) 7.41269 2.17656i 0.703581 0.206590i
\(112\) −4.93846 + 10.8137i −0.466640 + 1.02180i
\(113\) −1.27723 8.88334i −0.120152 0.835675i −0.957382 0.288824i \(-0.906736\pi\)
0.837230 0.546850i \(-0.184173\pi\)
\(114\) −5.68624 −0.532566
\(115\) −2.94470 3.78533i −0.274595 0.352984i
\(116\) 1.92010 0.178276
\(117\) −0.495488 3.44620i −0.0458079 0.318601i
\(118\) −5.53997 + 12.1308i −0.509995 + 1.11673i
\(119\) −9.11412 + 2.67615i −0.835490 + 0.245322i
\(120\) −2.55663 + 2.95051i −0.233388 + 0.269344i
\(121\) 4.64662 + 1.36437i 0.422420 + 0.124034i
\(122\) 7.61845 4.89608i 0.689742 0.443270i
\(123\) −0.417043 0.913196i −0.0376035 0.0823401i
\(124\) −0.359531 0.414921i −0.0322868 0.0372610i
\(125\) 0.841254 + 0.540641i 0.0752440 + 0.0483564i
\(126\) 1.16866 8.12819i 0.104112 0.724116i
\(127\) 2.73128 18.9964i 0.242362 1.68566i −0.397840 0.917455i \(-0.630240\pi\)
0.640201 0.768207i \(-0.278851\pi\)
\(128\) 2.88582 + 1.85460i 0.255073 + 0.163925i
\(129\) −8.13039 9.38297i −0.715841 0.826125i
\(130\) −1.21947 2.67026i −0.106954 0.234197i
\(131\) 13.1004 8.41914i 1.14459 0.735584i 0.176036 0.984384i \(-0.443672\pi\)
0.968555 + 0.248800i \(0.0800361\pi\)
\(132\) −1.88445 0.553325i −0.164020 0.0481608i
\(133\) −12.5938 + 14.5340i −1.09202 + 1.26025i
\(134\) 4.94602 1.45228i 0.427271 0.125458i
\(135\) 2.31374 5.06639i 0.199135 0.436046i
\(136\) 0.826922 + 5.75137i 0.0709080 + 0.493176i
\(137\) 1.31440 0.112297 0.0561484 0.998422i \(-0.482118\pi\)
0.0561484 + 0.998422i \(0.482118\pi\)
\(138\) −3.30295 + 6.32485i −0.281166 + 0.538407i
\(139\) 11.2695 0.955868 0.477934 0.878396i \(-0.341386\pi\)
0.477934 + 0.878396i \(0.341386\pi\)
\(140\) 0.446876 + 3.10809i 0.0377679 + 0.262682i
\(141\) 1.96182 4.29580i 0.165215 0.361771i
\(142\) −9.94293 + 2.91951i −0.834392 + 0.245000i
\(143\) 4.06653 4.69303i 0.340060 0.392450i
\(144\) −3.15369 0.926008i −0.262808 0.0771673i
\(145\) −2.58848 + 1.66352i −0.214962 + 0.138147i
\(146\) −2.61326 5.72225i −0.216275 0.473577i
\(147\) 15.2167 + 17.5610i 1.25505 + 1.44841i
\(148\) −3.19757 2.05495i −0.262838 0.168916i
\(149\) 0.754477 5.24750i 0.0618091 0.429892i −0.935297 0.353865i \(-0.884867\pi\)
0.997106 0.0760272i \(-0.0242236\pi\)
\(150\) 0.211739 1.47268i 0.0172884 0.120244i
\(151\) 5.42829 + 3.48855i 0.441748 + 0.283894i 0.742548 0.669793i \(-0.233617\pi\)
−0.300800 + 0.953687i \(0.597254\pi\)
\(152\) 7.70365 + 8.89049i 0.624849 + 0.721114i
\(153\) −1.09100 2.38895i −0.0882019 0.193135i
\(154\) 12.3213 7.91839i 0.992876 0.638082i
\(155\) 0.844159 + 0.247867i 0.0678045 + 0.0199092i
\(156\) 1.29713 1.49697i 0.103853 0.119853i
\(157\) −17.1493 + 5.03549i −1.36866 + 0.401876i −0.881809 0.471607i \(-0.843674\pi\)
−0.486855 + 0.873483i \(0.661856\pi\)
\(158\) 6.40063 14.0154i 0.509207 1.11501i
\(159\) 2.53486 + 17.6304i 0.201028 + 1.39818i
\(160\) 3.38478 0.267590
\(161\) 8.85094 + 22.4504i 0.697552 + 1.76934i
\(162\) −3.39092 −0.266416
\(163\) −2.36839 16.4725i −0.185507 1.29023i −0.843470 0.537177i \(-0.819491\pi\)
0.657963 0.753050i \(-0.271418\pi\)
\(164\) −0.205182 + 0.449286i −0.0160220 + 0.0350833i
\(165\) 3.01981 0.886697i 0.235092 0.0690293i
\(166\) 3.05580 3.52658i 0.237176 0.273715i
\(167\) 6.16250 + 1.80947i 0.476869 + 0.140021i 0.511329 0.859385i \(-0.329153\pi\)
−0.0344607 + 0.999406i \(0.510971\pi\)
\(168\) 16.5264 10.6209i 1.27504 0.819418i
\(169\) −2.79875 6.12841i −0.215288 0.471416i
\(170\) −1.45009 1.67349i −0.111217 0.128351i
\(171\) −4.47303 2.87464i −0.342061 0.219829i
\(172\) −0.869303 + 6.04614i −0.0662838 + 0.461014i
\(173\) −0.503708 + 3.50336i −0.0382962 + 0.266356i −0.999969 0.00784292i \(-0.997503\pi\)
0.961673 + 0.274199i \(0.0884126\pi\)
\(174\) 3.85120 + 2.47501i 0.291959 + 0.187630i
\(175\) −3.29519 3.80285i −0.249093 0.287469i
\(176\) −2.43529 5.33255i −0.183567 0.401956i
\(177\) 12.1309 7.79607i 0.911816 0.585988i
\(178\) −2.12434 0.623762i −0.159226 0.0467529i
\(179\) 3.46740 4.00160i 0.259166 0.299094i −0.611223 0.791459i \(-0.709322\pi\)
0.870389 + 0.492365i \(0.163868\pi\)
\(180\) −0.833004 + 0.244592i −0.0620885 + 0.0182308i
\(181\) 4.38761 9.60753i 0.326129 0.714122i −0.673558 0.739134i \(-0.735235\pi\)
0.999687 + 0.0250116i \(0.00796227\pi\)
\(182\) 2.10218 + 14.6210i 0.155824 + 1.08378i
\(183\) −9.79223 −0.723863
\(184\) 14.3637 3.40464i 1.05891 0.250993i
\(185\) 6.09099 0.447818
\(186\) −0.186287 1.29566i −0.0136593 0.0950022i
\(187\) 1.94588 4.26088i 0.142297 0.311586i
\(188\) −2.22935 + 0.654596i −0.162592 + 0.0477413i
\(189\) −18.3533 + 21.1808i −1.33500 + 1.54068i
\(190\) −4.30151 1.26304i −0.312064 0.0916304i
\(191\) −16.8832 + 10.8502i −1.22163 + 0.785093i −0.982567 0.185911i \(-0.940476\pi\)
−0.239062 + 0.971004i \(0.576840\pi\)
\(192\) −4.58164 10.0324i −0.330652 0.724026i
\(193\) 1.48287 + 1.71133i 0.106740 + 0.123184i 0.806605 0.591090i \(-0.201302\pi\)
−0.699866 + 0.714274i \(0.746757\pi\)
\(194\) 4.93767 + 3.17325i 0.354504 + 0.227826i
\(195\) −0.451731 + 3.14186i −0.0323491 + 0.224993i
\(196\) 1.62697 11.3158i 0.116212 0.808275i
\(197\) −13.3234 8.56246i −0.949256 0.610050i −0.0282510 0.999601i \(-0.508994\pi\)
−0.921005 + 0.389551i \(0.872630\pi\)
\(198\) 2.65183 + 3.06038i 0.188457 + 0.217491i
\(199\) −4.52402 9.90622i −0.320699 0.702233i 0.678785 0.734337i \(-0.262507\pi\)
−0.999485 + 0.0321033i \(0.989779\pi\)
\(200\) −2.58941 + 1.66411i −0.183099 + 0.117670i
\(201\) −5.34807 1.57034i −0.377224 0.110763i
\(202\) −6.98487 + 8.06096i −0.491453 + 0.567167i
\(203\) 14.8556 4.36201i 1.04266 0.306153i
\(204\) 0.620690 1.35912i 0.0434570 0.0951576i
\(205\) −0.112642 0.783445i −0.00786729 0.0547182i
\(206\) 19.1624 1.33511
\(207\) −5.79571 + 3.30560i −0.402830 + 0.229755i
\(208\) 5.91235 0.409948
\(209\) −1.34964 9.38692i −0.0933563 0.649307i
\(210\) −3.11003 + 6.81002i −0.214613 + 0.469936i
\(211\) −11.0011 + 3.23021i −0.757347 + 0.222377i −0.637537 0.770420i \(-0.720047\pi\)
−0.119810 + 0.992797i \(0.538228\pi\)
\(212\) 5.73868 6.62279i 0.394134 0.454855i
\(213\) 10.7512 + 3.15683i 0.736659 + 0.216302i
\(214\) 10.3908 6.67776i 0.710301 0.456483i
\(215\) −4.06629 8.90393i −0.277319 0.607243i
\(216\) 11.2268 + 12.9564i 0.763886 + 0.881571i
\(217\) −3.72427 2.39344i −0.252820 0.162477i
\(218\) 0.354509 2.46566i 0.0240104 0.166996i
\(219\) −0.968040 + 6.73286i −0.0654141 + 0.454965i
\(220\) −1.30264 0.837155i −0.0878238 0.0564410i
\(221\) 3.09367 + 3.57028i 0.208102 + 0.240163i
\(222\) −3.76462 8.24336i −0.252665 0.553258i
\(223\) −9.57260 + 6.15193i −0.641028 + 0.411964i −0.820378 0.571821i \(-0.806237\pi\)
0.179350 + 0.983785i \(0.442601\pi\)
\(224\) −16.3419 4.79843i −1.09189 0.320608i
\(225\) 0.911065 1.05142i 0.0607377 0.0700950i
\(226\) −10.1010 + 2.96593i −0.671911 + 0.197291i
\(227\) 3.55893 7.79298i 0.236215 0.517238i −0.753986 0.656891i \(-0.771871\pi\)
0.990201 + 0.139653i \(0.0445986\pi\)
\(228\) −0.430503 2.99421i −0.0285107 0.198297i
\(229\) 25.9034 1.71175 0.855873 0.517187i \(-0.173021\pi\)
0.855873 + 0.517187i \(0.173021\pi\)
\(230\) −3.90349 + 4.05094i −0.257388 + 0.267111i
\(231\) −15.8369 −1.04199
\(232\) −1.34785 9.37450i −0.0884907 0.615466i
\(233\) −7.35670 + 16.1089i −0.481953 + 1.05533i 0.499969 + 0.866044i \(0.333345\pi\)
−0.981922 + 0.189287i \(0.939382\pi\)
\(234\) −3.91859 + 1.15060i −0.256166 + 0.0752172i
\(235\) 2.43826 2.81390i 0.159055 0.183559i
\(236\) −6.80718 1.99877i −0.443110 0.130109i
\(237\) −14.0155 + 9.00723i −0.910406 + 0.585082i
\(238\) 4.62871 + 10.1355i 0.300035 + 0.656984i
\(239\) 7.92190 + 9.14236i 0.512425 + 0.591370i 0.951718 0.306974i \(-0.0993164\pi\)
−0.439293 + 0.898344i \(0.644771\pi\)
\(240\) 2.52087 + 1.62006i 0.162721 + 0.104575i
\(241\) 2.10906 14.6688i 0.135856 0.944901i −0.801863 0.597508i \(-0.796158\pi\)
0.937720 0.347393i \(-0.112933\pi\)
\(242\) 0.808445 5.62286i 0.0519688 0.361451i
\(243\) −10.9721 7.05135i −0.703862 0.452345i
\(244\) 3.15493 + 3.64098i 0.201973 + 0.233090i
\(245\) 7.61040 + 16.6645i 0.486211 + 1.06465i
\(246\) −0.990671 + 0.636666i −0.0631629 + 0.0405923i
\(247\) 9.17697 + 2.69460i 0.583917 + 0.171453i
\(248\) −1.77339 + 2.04660i −0.112610 + 0.129959i
\(249\) −4.84127 + 1.42152i −0.306803 + 0.0900854i
\(250\) 0.487289 1.06701i 0.0308189 0.0674839i
\(251\) −0.201437 1.40102i −0.0127146 0.0884317i 0.982476 0.186389i \(-0.0596784\pi\)
−0.995191 + 0.0979569i \(0.968769\pi\)
\(252\) 4.36855 0.275193
\(253\) −11.2251 3.95134i −0.705716 0.248419i
\(254\) −22.5123 −1.41255
\(255\) 0.340752 + 2.36998i 0.0213387 + 0.148414i
\(256\) −5.55287 + 12.1591i −0.347054 + 0.759942i
\(257\) 11.5131 3.38055i 0.718167 0.210873i 0.0978245 0.995204i \(-0.468812\pi\)
0.620343 + 0.784331i \(0.286993\pi\)
\(258\) −9.53710 + 11.0064i −0.593754 + 0.685228i
\(259\) −29.4077 8.63488i −1.82731 0.536546i
\(260\) 1.31376 0.844300i 0.0814757 0.0523613i
\(261\) 1.77828 + 3.89389i 0.110073 + 0.241026i
\(262\) −11.9622 13.8052i −0.739030 0.852886i
\(263\) 17.0211 + 10.9388i 1.04956 + 0.674514i 0.947334 0.320247i \(-0.103766\pi\)
0.102230 + 0.994761i \(0.467402\pi\)
\(264\) −1.37867 + 9.58889i −0.0848516 + 0.590156i
\(265\) −1.99852 + 13.9000i −0.122768 + 0.853870i
\(266\) 18.9774 + 12.1961i 1.16358 + 0.747789i
\(267\) 1.56773 + 1.80926i 0.0959438 + 0.110725i
\(268\) 1.13919 + 2.49448i 0.0695872 + 0.152375i
\(269\) −2.75393 + 1.76984i −0.167910 + 0.107909i −0.621897 0.783099i \(-0.713638\pi\)
0.453987 + 0.891008i \(0.350001\pi\)
\(270\) −6.26873 1.84066i −0.381503 0.112019i
\(271\) −17.3789 + 20.0563i −1.05569 + 1.21833i −0.0805495 + 0.996751i \(0.525668\pi\)
−0.975142 + 0.221582i \(0.928878\pi\)
\(272\) 4.27918 1.25648i 0.259463 0.0761853i
\(273\) 6.63504 14.5287i 0.401571 0.879317i
\(274\) −0.219423 1.52612i −0.0132558 0.0921964i
\(275\) 2.48137 0.149632
\(276\) −3.58055 1.26039i −0.215524 0.0758663i
\(277\) 13.7768 0.827771 0.413885 0.910329i \(-0.364171\pi\)
0.413885 + 0.910329i \(0.364171\pi\)
\(278\) −1.88131 13.0848i −0.112833 0.784773i
\(279\) 0.508470 1.11339i 0.0304413 0.0666571i
\(280\) 14.8610 4.36357i 0.888112 0.260773i
\(281\) 7.29568 8.41967i 0.435224 0.502275i −0.495190 0.868784i \(-0.664902\pi\)
0.930414 + 0.366509i \(0.119447\pi\)
\(282\) −5.31526 1.56070i −0.316519 0.0929383i
\(283\) −14.6074 + 9.38758i −0.868317 + 0.558033i −0.897238 0.441548i \(-0.854429\pi\)
0.0289205 + 0.999582i \(0.490793\pi\)
\(284\) −2.29010 5.01463i −0.135893 0.297563i
\(285\) 3.17446 + 3.66352i 0.188039 + 0.217008i
\(286\) −6.12783 3.93812i −0.362346 0.232866i
\(287\) −0.566805 + 3.94222i −0.0334574 + 0.232702i
\(288\) 0.670163 4.66109i 0.0394898 0.274657i
\(289\) −11.3035 7.26429i −0.664910 0.427311i
\(290\) 2.36359 + 2.72772i 0.138795 + 0.160177i
\(291\) −2.63645 5.77301i −0.154551 0.338420i
\(292\) 2.81532 1.80930i 0.164754 0.105881i
\(293\) 22.7846 + 6.69017i 1.33109 + 0.390844i 0.868483 0.495718i \(-0.165095\pi\)
0.462609 + 0.886562i \(0.346913\pi\)
\(294\) 17.8495 20.5994i 1.04100 1.20138i
\(295\) 10.9084 3.20300i 0.635113 0.186486i
\(296\) −7.78831 + 17.0540i −0.452686 + 0.991244i
\(297\) −1.96687 13.6799i −0.114129 0.793786i
\(298\) −6.21871 −0.360240
\(299\) 8.32782 8.64240i 0.481610 0.499803i
\(300\) 0.791501 0.0456973
\(301\) 7.00968 + 48.7534i 0.404031 + 2.81010i
\(302\) 3.14429 6.88504i 0.180934 0.396190i
\(303\) 11.0661 3.24929i 0.635728 0.186667i
\(304\) 5.91290 6.82385i 0.339128 0.391375i
\(305\) −7.40759 2.17507i −0.424158 0.124544i
\(306\) −2.59163 + 1.66554i −0.148154 + 0.0952126i
\(307\) 0.222646 + 0.487527i 0.0127071 + 0.0278246i 0.915879 0.401454i \(-0.131495\pi\)
−0.903172 + 0.429279i \(0.858768\pi\)
\(308\) 5.10244 + 5.88853i 0.290738 + 0.335530i
\(309\) −17.4309 11.2021i −0.991607 0.637267i
\(310\) 0.146871 1.02151i 0.00834173 0.0580180i
\(311\) −0.683161 + 4.75149i −0.0387385 + 0.269432i −0.999980 0.00627437i \(-0.998003\pi\)
0.961242 + 0.275707i \(0.0889119\pi\)
\(312\) −8.21920 5.28216i −0.465321 0.299043i
\(313\) −0.194803 0.224815i −0.0110109 0.0127073i 0.750217 0.661191i \(-0.229949\pi\)
−0.761228 + 0.648484i \(0.775403\pi\)
\(314\) 8.70947 + 19.0711i 0.491504 + 1.07624i
\(315\) −5.88924 + 3.78478i −0.331821 + 0.213248i
\(316\) 7.86471 + 2.30929i 0.442425 + 0.129908i
\(317\) −1.17601 + 1.35718i −0.0660511 + 0.0762270i −0.787813 0.615914i \(-0.788787\pi\)
0.721762 + 0.692141i \(0.243332\pi\)
\(318\) 20.0471 5.88635i 1.12418 0.330090i
\(319\) −3.17170 + 6.94505i −0.177581 + 0.388848i
\(320\) −1.23749 8.60695i −0.0691780 0.481143i
\(321\) −13.3556 −0.745438
\(322\) 24.5891 14.0245i 1.37030 0.781552i
\(323\) 7.21466 0.401434
\(324\) −0.256725 1.78556i −0.0142625 0.0991977i
\(325\) −1.03960 + 2.27640i −0.0576665 + 0.126272i
\(326\) −18.7305 + 5.49977i −1.03739 + 0.304604i
\(327\) −1.76387 + 2.03562i −0.0975425 + 0.112570i
\(328\) 2.33758 + 0.686376i 0.129071 + 0.0378988i
\(329\) −15.7612 + 10.1291i −0.868945 + 0.558437i
\(330\) −1.53365 3.35822i −0.0844244 0.184864i
\(331\) −2.39640 2.76559i −0.131718 0.152011i 0.686059 0.727546i \(-0.259339\pi\)
−0.817777 + 0.575535i \(0.804794\pi\)
\(332\) 2.08835 + 1.34210i 0.114613 + 0.0736573i
\(333\) 1.20597 8.38774i 0.0660870 0.459645i
\(334\) 1.07219 7.45722i 0.0586674 0.408041i
\(335\) −3.69689 2.37585i −0.201983 0.129806i
\(336\) −9.87425 11.3955i −0.538685 0.621675i
\(337\) −7.74141 16.9513i −0.421701 0.923397i −0.994601 0.103772i \(-0.966909\pi\)
0.572900 0.819625i \(-0.305818\pi\)
\(338\) −6.64834 + 4.27263i −0.361622 + 0.232400i
\(339\) 10.9221 + 3.20703i 0.593209 + 0.174182i
\(340\) 0.771428 0.890275i 0.0418365 0.0482819i
\(341\) 2.09467 0.615051i 0.113433 0.0333069i
\(342\) −2.59097 + 5.67342i −0.140103 + 0.306784i
\(343\) −8.10640 56.3813i −0.437705 3.04430i
\(344\) 30.1293 1.62446
\(345\) 5.91890 1.40296i 0.318663 0.0755326i
\(346\) 4.15177 0.223200
\(347\) 0.715326 + 4.97520i 0.0384007 + 0.267083i 0.999972 0.00747221i \(-0.00237850\pi\)
−0.961571 + 0.274555i \(0.911469\pi\)
\(348\) −1.01170 + 2.21531i −0.0542328 + 0.118753i
\(349\) 31.2750 9.18317i 1.67411 0.491564i 0.699345 0.714784i \(-0.253475\pi\)
0.974768 + 0.223220i \(0.0716569\pi\)
\(350\) −3.86532 + 4.46082i −0.206610 + 0.238441i
\(351\) 13.3739 + 3.92693i 0.713846 + 0.209604i
\(352\) 7.06560 4.54078i 0.376598 0.242025i
\(353\) 5.14962 + 11.2761i 0.274086 + 0.600166i 0.995752 0.0920764i \(-0.0293504\pi\)
−0.721666 + 0.692242i \(0.756623\pi\)
\(354\) −11.0770 12.7835i −0.588734 0.679435i
\(355\) 7.43181 + 4.77614i 0.394440 + 0.253491i
\(356\) 0.167622 1.16584i 0.00888397 0.0617894i
\(357\) 1.71463 11.9255i 0.0907477 0.631164i
\(358\) −5.22501 3.35791i −0.276150 0.177471i
\(359\) 9.77689 + 11.2831i 0.516005 + 0.595501i 0.952626 0.304144i \(-0.0983705\pi\)
−0.436621 + 0.899645i \(0.643825\pi\)
\(360\) 1.77892 + 3.89529i 0.0937572 + 0.205300i
\(361\) −3.69596 + 2.37525i −0.194524 + 0.125013i
\(362\) −11.8876 3.49050i −0.624796 0.183457i
\(363\) −4.02245 + 4.64216i −0.211124 + 0.243650i
\(364\) −7.53983 + 2.21389i −0.395194 + 0.116040i
\(365\) −2.22781 + 4.87823i −0.116609 + 0.255338i
\(366\) 1.63469 + 11.3695i 0.0854468 + 0.594296i
\(367\) 0.902180 0.0470934 0.0235467 0.999723i \(-0.492504\pi\)
0.0235467 + 0.999723i \(0.492504\pi\)
\(368\) −4.15561 10.5407i −0.216626 0.549472i
\(369\) −1.10116 −0.0573243
\(370\) −1.01682 7.07211i −0.0528618 0.367662i
\(371\) 29.3543 64.2770i 1.52400 3.33709i
\(372\) 0.668152 0.196187i 0.0346421 0.0101718i
\(373\) −13.3965 + 15.4604i −0.693643 + 0.800507i −0.987879 0.155226i \(-0.950389\pi\)
0.294236 + 0.955733i \(0.404935\pi\)
\(374\) −5.27205 1.54801i −0.272611 0.0800459i
\(375\) −1.06702 + 0.685733i −0.0551008 + 0.0354111i
\(376\) 4.76088 + 10.4249i 0.245523 + 0.537621i
\(377\) −5.04255 5.81941i −0.259704 0.299715i
\(378\) 27.6564 + 17.7737i 1.42249 + 0.914181i
\(379\) 1.00767 7.00847i 0.0517603 0.360001i −0.947437 0.319942i \(-0.896336\pi\)
0.999197 0.0400585i \(-0.0127544\pi\)
\(380\) 0.339414 2.36068i 0.0174116 0.121100i
\(381\) 20.4781 + 13.1605i 1.04912 + 0.674230i
\(382\) 15.4164 + 17.7915i 0.788771 + 0.910290i
\(383\) −6.68229 14.6322i −0.341449 0.747670i 0.658539 0.752547i \(-0.271175\pi\)
−0.999988 + 0.00487710i \(0.998448\pi\)
\(384\) −3.66029 + 2.35232i −0.186788 + 0.120041i
\(385\) −11.9802 3.51772i −0.610570 0.179279i
\(386\) 1.73944 2.00742i 0.0885350 0.102175i
\(387\) −13.0665 + 3.83666i −0.664206 + 0.195029i
\(388\) −1.29711 + 2.84028i −0.0658509 + 0.144193i
\(389\) 2.99409 + 20.8244i 0.151806 + 1.05584i 0.913190 + 0.407535i \(0.133612\pi\)
−0.761383 + 0.648302i \(0.775479\pi\)
\(390\) 3.72335 0.188539
\(391\) 4.19075 8.02491i 0.211935 0.405837i
\(392\) −56.3895 −2.84810
\(393\) 2.81097 + 19.5507i 0.141794 + 0.986202i
\(394\) −7.71749 + 16.8990i −0.388802 + 0.851357i
\(395\) −12.6031 + 3.70061i −0.634131 + 0.186198i
\(396\) −1.41074 + 1.62808i −0.0708922 + 0.0818140i
\(397\) 16.1063 + 4.72925i 0.808354 + 0.237354i 0.659694 0.751534i \(-0.270686\pi\)
0.148660 + 0.988888i \(0.452504\pi\)
\(398\) −10.7467 + 6.90646i −0.538682 + 0.346190i
\(399\) −10.1329 22.1880i −0.507281 1.11079i
\(400\) 1.54713 + 1.78548i 0.0773564 + 0.0892740i
\(401\) 10.1816 + 6.54329i 0.508443 + 0.326756i 0.769585 0.638544i \(-0.220463\pi\)
−0.261143 + 0.965300i \(0.584099\pi\)
\(402\) −0.930487 + 6.47168i −0.0464085 + 0.322778i
\(403\) −0.313340 + 2.17933i −0.0156086 + 0.108560i
\(404\) −4.77349 3.06774i −0.237490 0.152626i
\(405\) 1.89305 + 2.18469i 0.0940663 + 0.108558i
\(406\) −7.54461 16.5204i −0.374432 0.819893i
\(407\) 12.7147 8.17125i 0.630245 0.405034i
\(408\) −7.07136 2.07634i −0.350084 0.102794i
\(409\) 9.48192 10.9427i 0.468851 0.541083i −0.471241 0.882005i \(-0.656194\pi\)
0.940092 + 0.340922i \(0.110739\pi\)
\(410\) −0.890837 + 0.261573i −0.0439953 + 0.0129182i
\(411\) −0.692558 + 1.51649i −0.0341614 + 0.0748030i
\(412\) 1.45078 + 10.0904i 0.0714746 + 0.497117i
\(413\) −57.2074 −2.81499
\(414\) 4.80558 + 6.17745i 0.236181 + 0.303605i
\(415\) −3.97806 −0.195275
\(416\) 1.20549 + 8.38436i 0.0591040 + 0.411077i
\(417\) −5.93791 + 13.0022i −0.290781 + 0.636721i
\(418\) −10.6736 + 3.13407i −0.522065 + 0.153292i
\(419\) 16.0605 18.5348i 0.784606 0.905483i −0.212827 0.977090i \(-0.568267\pi\)
0.997433 + 0.0716065i \(0.0228126\pi\)
\(420\) −3.82142 1.12207i −0.186466 0.0547514i
\(421\) −11.4847 + 7.38078i −0.559731 + 0.359717i −0.789712 0.613478i \(-0.789770\pi\)
0.229981 + 0.973195i \(0.426134\pi\)
\(422\) 5.58703 + 12.2339i 0.271972 + 0.595536i
\(423\) −3.39219 3.91480i −0.164934 0.190344i
\(424\) −36.3629 23.3690i −1.76594 1.13490i
\(425\) −0.268653 + 1.86852i −0.0130316 + 0.0906366i
\(426\) 1.87055 13.0100i 0.0906284 0.630334i
\(427\) 32.6809 + 21.0027i 1.58154 + 1.01639i
\(428\) 4.30300 + 4.96593i 0.207993 + 0.240037i
\(429\) 3.27193 + 7.16452i 0.157970 + 0.345906i
\(430\) −9.65935 + 6.20769i −0.465815 + 0.299361i
\(431\) 0.0983260 + 0.0288711i 0.00473619 + 0.00139067i 0.284100 0.958795i \(-0.408305\pi\)
−0.279364 + 0.960185i \(0.590123\pi\)
\(432\) 8.61706 9.94462i 0.414588 0.478461i
\(433\) 6.79420 1.99496i 0.326508 0.0958715i −0.114370 0.993438i \(-0.536485\pi\)
0.440879 + 0.897567i \(0.354667\pi\)
\(434\) −2.15725 + 4.72372i −0.103551 + 0.226746i
\(435\) −0.555411 3.86297i −0.0266299 0.185215i
\(436\) 1.32519 0.0634650
\(437\) −1.64620 18.2549i −0.0787483 0.873251i
\(438\) 7.97898 0.381251
\(439\) 5.14161 + 35.7607i 0.245396 + 1.70677i 0.624180 + 0.781281i \(0.285433\pi\)
−0.378784 + 0.925485i \(0.623658\pi\)
\(440\) −3.17283 + 6.94754i −0.151259 + 0.331211i
\(441\) 24.4550 7.18063i 1.16452 0.341935i
\(442\) 3.62892 4.18800i 0.172610 0.199203i
\(443\) 31.9263 + 9.37440i 1.51686 + 0.445391i 0.931000 0.365019i \(-0.118937\pi\)
0.585863 + 0.810410i \(0.300756\pi\)
\(444\) 4.05570 2.60644i 0.192475 0.123696i
\(445\) 0.784078 + 1.71689i 0.0371689 + 0.0813885i
\(446\) 8.74090 + 10.0875i 0.413894 + 0.477659i
\(447\) 5.65677 + 3.63539i 0.267556 + 0.171948i
\(448\) −6.22694 + 43.3093i −0.294195 + 2.04617i
\(449\) −1.56057 + 10.8540i −0.0736478 + 0.512232i 0.919289 + 0.393584i \(0.128765\pi\)
−0.992936 + 0.118648i \(0.962144\pi\)
\(450\) −1.37288 0.882295i −0.0647181 0.0415918i
\(451\) −1.28615 1.48430i −0.0605626 0.0698930i
\(452\) −2.32652 5.09437i −0.109430 0.239619i
\(453\) −6.88509 + 4.42478i −0.323490 + 0.207894i
\(454\) −9.64238 2.83126i −0.452539 0.132877i
\(455\) 8.24639 9.51684i 0.386597 0.446156i
\(456\) −14.3165 + 4.20370i −0.670430 + 0.196856i
\(457\) 0.387506 0.848519i 0.0181268 0.0396921i −0.900352 0.435162i \(-0.856691\pi\)
0.918479 + 0.395470i \(0.129418\pi\)
\(458\) −4.32426 30.0759i −0.202059 1.40535i
\(459\) 10.5142 0.490759
\(460\) −2.42864 1.74877i −0.113236 0.0815368i
\(461\) −35.1644 −1.63777 −0.818884 0.573959i \(-0.805407\pi\)
−0.818884 + 0.573959i \(0.805407\pi\)
\(462\) 2.64378 + 18.3879i 0.123000 + 0.855481i
\(463\) 4.04778 8.86341i 0.188116 0.411918i −0.791950 0.610585i \(-0.790934\pi\)
0.980067 + 0.198668i \(0.0636615\pi\)
\(464\) −6.97488 + 2.04801i −0.323801 + 0.0950765i
\(465\) −0.730765 + 0.843348i −0.0338884 + 0.0391093i
\(466\) 19.9318 + 5.85251i 0.923324 + 0.271112i
\(467\) −12.2705 + 7.88574i −0.567809 + 0.364909i −0.792828 0.609446i \(-0.791392\pi\)
0.225019 + 0.974354i \(0.427756\pi\)
\(468\) −0.902548 1.97631i −0.0417203 0.0913548i
\(469\) 14.4807 + 16.7116i 0.668657 + 0.771672i
\(470\) −3.67420 2.36127i −0.169478 0.108917i
\(471\) 3.22627 22.4392i 0.148659 1.03395i
\(472\) −4.98017 + 34.6378i −0.229231 + 1.59434i
\(473\) −20.4331 13.1316i −0.939517 0.603791i
\(474\) 12.7978 + 14.7695i 0.587823 + 0.678384i
\(475\) 1.58766 + 3.47648i 0.0728467 + 0.159512i
\(476\) −4.98661 + 3.20470i −0.228561 + 0.146887i
\(477\) 18.7456 + 5.50421i 0.858303 + 0.252021i
\(478\) 9.29253 10.7242i 0.425030 0.490511i
\(479\) −16.9772 + 4.98495i −0.775707 + 0.227768i −0.645543 0.763724i \(-0.723369\pi\)
−0.130165 + 0.991492i \(0.541551\pi\)
\(480\) −1.78344 + 3.90519i −0.0814026 + 0.178247i
\(481\) 2.16931 + 15.0879i 0.0989118 + 0.687947i
\(482\) −17.3837 −0.791806
\(483\) −30.5657 1.61735i −1.39079 0.0735920i
\(484\) 3.02204 0.137366
\(485\) −0.712099 4.95276i −0.0323348 0.224893i
\(486\) −6.35551 + 13.9166i −0.288292 + 0.631271i
\(487\) −41.3714 + 12.1477i −1.87472 + 0.550467i −0.877195 + 0.480134i \(0.840588\pi\)
−0.997524 + 0.0703329i \(0.977594\pi\)
\(488\) 15.5617 17.9592i 0.704446 0.812974i
\(489\) 20.2531 + 5.94684i 0.915876 + 0.268926i
\(490\) 18.0783 11.6182i 0.816693 0.524857i
\(491\) −6.01261 13.1658i −0.271345 0.594164i 0.724079 0.689717i \(-0.242265\pi\)
−0.995424 + 0.0955536i \(0.969538\pi\)
\(492\) −0.410253 0.473458i −0.0184956 0.0213451i
\(493\) −4.88637 3.14028i −0.220071 0.141431i
\(494\) 1.59666 11.1050i 0.0718371 0.499638i
\(495\) 0.491295 3.41703i 0.0220821 0.153584i
\(496\) 1.74858 + 1.12375i 0.0785137 + 0.0504577i
\(497\) −29.1104 33.5952i −1.30578 1.50695i
\(498\) 2.45869 + 5.38378i 0.110177 + 0.241253i
\(499\) −20.0757 + 12.9019i −0.898711 + 0.577567i −0.906408 0.422404i \(-0.861186\pi\)
0.00769643 + 0.999970i \(0.497550\pi\)
\(500\) 0.598752 + 0.175809i 0.0267770 + 0.00786243i
\(501\) −5.33471 + 6.15658i −0.238337 + 0.275056i
\(502\) −1.59307 + 0.467767i −0.0711021 + 0.0208775i
\(503\) 12.5678 27.5196i 0.560369 1.22704i −0.391399 0.920221i \(-0.628009\pi\)
0.951769 0.306817i \(-0.0992639\pi\)
\(504\) −3.06659 21.3286i −0.136597 0.950051i
\(505\) 9.09294 0.404631
\(506\) −2.71392 + 13.6928i −0.120649 + 0.608721i
\(507\) 8.54532 0.379511
\(508\) −1.70440 11.8543i −0.0756204 0.525951i
\(509\) −9.55340 + 20.9190i −0.423447 + 0.927220i 0.570898 + 0.821021i \(0.306595\pi\)
−0.994345 + 0.106199i \(0.966132\pi\)
\(510\) 2.69485 0.791278i 0.119330 0.0350384i
\(511\) 17.6717 20.3942i 0.781748 0.902185i
\(512\) 21.6275 + 6.35040i 0.955808 + 0.280651i
\(513\) 17.9075 11.5084i 0.790635 0.508110i
\(514\) −5.84706 12.8033i −0.257903 0.564728i
\(515\) −10.6978 12.3459i −0.471401 0.544026i
\(516\) −6.51770 4.18867i −0.286926 0.184396i
\(517\) 1.31484 9.14493i 0.0578267 0.402193i
\(518\) −5.11651 + 35.5861i −0.224807 + 1.56357i
\(519\) −3.77660 2.42708i −0.165775 0.106537i
\(520\) −5.04435 5.82149i −0.221209 0.255289i
\(521\) −15.3836 33.6853i −0.673966 1.47578i −0.868912 0.494966i \(-0.835181\pi\)
0.194947 0.980814i \(-0.437547\pi\)
\(522\) 4.22425 2.71476i 0.184890 0.118822i
\(523\) −22.0249 6.46708i −0.963080 0.282786i −0.237857 0.971300i \(-0.576445\pi\)
−0.725223 + 0.688514i \(0.758263\pi\)
\(524\) 6.36375 7.34416i 0.278002 0.320831i
\(525\) 6.12379 1.79811i 0.267264 0.0784758i
\(526\) 9.85932 21.5889i 0.429887 0.941321i
\(527\) 0.236360 + 1.64392i 0.0102960 + 0.0716103i
\(528\) 7.43559 0.323593
\(529\) −21.2613 8.77259i −0.924403 0.381417i
\(530\) 16.4726 0.715524
\(531\) −2.25098 15.6559i −0.0976841 0.679408i
\(532\) −4.98533 + 10.9163i −0.216141 + 0.473283i
\(533\) 1.90054 0.558048i 0.0823215 0.0241718i
\(534\) 1.83898 2.12230i 0.0795804 0.0918407i
\(535\) −10.1032 2.96657i −0.436800 0.128256i
\(536\) 11.3791 7.31293i 0.491504 0.315870i
\(537\) 2.78987 + 6.10897i 0.120392 + 0.263621i
\(538\) 2.51466 + 2.90208i 0.108415 + 0.125117i
\(539\) 38.2423 + 24.5768i 1.64721 + 1.05860i
\(540\) 0.494639 3.44029i 0.0212859 0.148046i
\(541\) 1.10310 7.67222i 0.0474259 0.329854i −0.952271 0.305253i \(-0.901259\pi\)
0.999697 0.0246018i \(-0.00783180\pi\)
\(542\) 26.1881 + 16.8301i 1.12488 + 0.722914i
\(543\) 8.77287 + 10.1244i 0.376480 + 0.434481i
\(544\) 2.65432 + 5.81216i 0.113803 + 0.249194i
\(545\) −1.78648 + 1.14810i −0.0765246 + 0.0491794i
\(546\) −17.9766 5.27841i −0.769328 0.225895i
\(547\) 15.5143 17.9044i 0.663343 0.765539i −0.319976 0.947426i \(-0.603675\pi\)
0.983319 + 0.181887i \(0.0582204\pi\)
\(548\) 0.786999 0.231084i 0.0336190 0.00987142i
\(549\) −4.46188 + 9.77015i −0.190428 + 0.416980i
\(550\) −0.414235 2.88107i −0.0176630 0.122849i
\(551\) −11.7596 −0.500976
\(552\) −3.64016 + 18.3661i −0.154935 + 0.781712i
\(553\) 66.0949 2.81064
\(554\) −2.29988 15.9960i −0.0977124 0.679605i
\(555\) −3.20934 + 7.02748i −0.136229 + 0.298300i
\(556\) 6.74764 1.98129i 0.286164 0.0840252i
\(557\) −5.38828 + 6.21841i −0.228309 + 0.263482i −0.858333 0.513093i \(-0.828500\pi\)
0.630024 + 0.776576i \(0.283045\pi\)
\(558\) −1.37762 0.404505i −0.0583193 0.0171241i
\(559\) 20.6075 13.2437i 0.871606 0.560147i
\(560\) −4.93846 10.8137i −0.208688 0.456963i
\(561\) 3.89071 + 4.49012i 0.164266 + 0.189573i
\(562\) −10.9938 7.06530i −0.463746 0.298032i
\(563\) −3.99411 + 27.7796i −0.168331 + 1.17077i 0.714001 + 0.700145i \(0.246881\pi\)
−0.882333 + 0.470627i \(0.844028\pi\)
\(564\) 0.419404 2.91702i 0.0176601 0.122829i
\(565\) 7.54999 + 4.85209i 0.317631 + 0.204129i
\(566\) 13.3382 + 15.3931i 0.560648 + 0.647022i
\(567\) −6.04264 13.2315i −0.253767 0.555672i
\(568\) −22.8754 + 14.7011i −0.959829 + 0.616845i
\(569\) −31.9563 9.38322i −1.33968 0.393365i −0.468124 0.883663i \(-0.655070\pi\)
−0.871555 + 0.490298i \(0.836888\pi\)
\(570\) 3.72370 4.29738i 0.155969 0.179997i
\(571\) −13.8156 + 4.05664i −0.578167 + 0.169765i −0.557725 0.830026i \(-0.688326\pi\)
−0.0204420 + 0.999791i \(0.506507\pi\)
\(572\) 1.60976 3.52489i 0.0673076 0.147383i
\(573\) −3.62264 25.1960i −0.151338 1.05258i
\(574\) 4.67184 0.194999
\(575\) 4.78913 + 0.253411i 0.199721 + 0.0105680i
\(576\) −12.0974 −0.504059
\(577\) 2.15003 + 14.9538i 0.0895070 + 0.622535i 0.984359 + 0.176172i \(0.0563716\pi\)
−0.894852 + 0.446362i \(0.852719\pi\)
\(578\) −6.54744 + 14.3369i −0.272338 + 0.596336i
\(579\) −2.75577 + 0.809168i −0.114526 + 0.0336279i
\(580\) −1.25740 + 1.45111i −0.0522105 + 0.0602541i
\(581\) 19.2063 + 5.63949i 0.796813 + 0.233965i
\(582\) −6.26279 + 4.02485i −0.259601 + 0.166836i
\(583\) 14.4754 + 31.6968i 0.599512 + 1.31275i
\(584\) −10.8098 12.4752i −0.447314 0.516228i
\(585\) 2.92894 + 1.88231i 0.121097 + 0.0778241i
\(586\) 3.96420 27.5716i 0.163759 1.13897i
\(587\) −2.40088 + 16.6985i −0.0990949 + 0.689220i 0.878348 + 0.478021i \(0.158646\pi\)
−0.977443 + 0.211199i \(0.932263\pi\)
\(588\) 12.1984 + 7.83945i 0.503054 + 0.323293i
\(589\) 2.20194 + 2.54118i 0.0907294 + 0.104707i
\(590\) −5.53997 12.1308i −0.228077 0.499419i
\(591\) 16.8991 10.8604i 0.695135 0.446736i
\(592\) 13.8072 + 4.05417i 0.567474 + 0.166625i
\(593\) −0.149347 + 0.172356i −0.00613295 + 0.00707780i −0.758808 0.651315i \(-0.774218\pi\)
0.752675 + 0.658392i \(0.228763\pi\)
\(594\) −15.5550 + 4.56737i −0.638231 + 0.187402i
\(595\) 3.94598 8.64050i 0.161770 0.354226i
\(596\) −0.470815 3.27459i −0.0192854 0.134133i
\(597\) 13.8130 0.565329
\(598\) −11.4247 8.22650i −0.467192 0.336407i
\(599\) 0.393182 0.0160650 0.00803249 0.999968i \(-0.497443\pi\)
0.00803249 + 0.999968i \(0.497443\pi\)
\(600\) −0.555610 3.86435i −0.0226827 0.157761i
\(601\) 2.82466 6.18515i 0.115220 0.252298i −0.843232 0.537550i \(-0.819350\pi\)
0.958453 + 0.285252i \(0.0920773\pi\)
\(602\) 55.4363 16.2776i 2.25942 0.663424i
\(603\) −4.00367 + 4.62049i −0.163042 + 0.188161i
\(604\) 3.86352 + 1.13443i 0.157204 + 0.0461593i
\(605\) −4.07402 + 2.61821i −0.165632 + 0.106445i
\(606\) −5.62002 12.3061i −0.228298 0.499902i
\(607\) 3.65805 + 4.22162i 0.148476 + 0.171350i 0.825115 0.564964i \(-0.191110\pi\)
−0.676640 + 0.736314i \(0.736565\pi\)
\(608\) 10.8826 + 6.99380i 0.441347 + 0.283636i
\(609\) −2.79477 + 19.4381i −0.113250 + 0.787670i
\(610\) −1.28881 + 8.96390i −0.0521825 + 0.362938i
\(611\) 7.83865 + 5.03760i 0.317118 + 0.203799i
\(612\) −1.07324 1.23858i −0.0433830 0.0500667i
\(613\) 0.0892811 + 0.195498i 0.00360603 + 0.00789610i 0.911426 0.411463i \(-0.134982\pi\)
−0.907820 + 0.419359i \(0.862255\pi\)
\(614\) 0.528889 0.339896i 0.0213442 0.0137171i
\(615\) 0.963252 + 0.282836i 0.0388421 + 0.0114051i
\(616\) 25.1678 29.0452i 1.01404 1.17027i
\(617\) −26.6922 + 7.83755i −1.07459 + 0.315528i −0.770712 0.637184i \(-0.780099\pi\)
−0.303877 + 0.952711i \(0.598281\pi\)
\(618\) −10.0967 + 22.1086i −0.406148 + 0.889340i
\(619\) 3.65056 + 25.3902i 0.146729 + 1.02052i 0.921528 + 0.388312i \(0.126942\pi\)
−0.774799 + 0.632207i \(0.782149\pi\)
\(620\) 0.549019 0.0220491
\(621\) −2.39906 26.6035i −0.0962708 1.06756i
\(622\) 5.63090 0.225779
\(623\) −1.35163 9.40082i −0.0541521 0.376636i
\(624\) −3.11522 + 6.82138i −0.124709 + 0.273074i
\(625\) −0.959493 + 0.281733i −0.0383797 + 0.0112693i
\(626\) −0.228507 + 0.263711i −0.00913299 + 0.0105400i
\(627\) 11.5413 + 3.38883i 0.460915 + 0.135337i
\(628\) −9.38289 + 6.03002i −0.374418 + 0.240624i
\(629\) 4.77651 + 10.4591i 0.190452 + 0.417032i
\(630\) 5.37757 + 6.20604i 0.214247 + 0.247255i
\(631\) −32.0691 20.6096i −1.27665 0.820454i −0.286181 0.958176i \(-0.592386\pi\)
−0.990471 + 0.137722i \(0.956022\pi\)
\(632\) 5.75386 40.0190i 0.228876 1.59187i
\(633\) 2.06962 14.3945i 0.0822600 0.572131i
\(634\) 1.77212 + 1.13887i 0.0703797 + 0.0452303i
\(635\) 12.5680 + 14.5042i 0.498744 + 0.575581i
\(636\) 4.61733 + 10.1106i 0.183089 + 0.400909i
\(637\) −38.5687 + 24.7866i −1.52815 + 0.982081i
\(638\) 8.59323 + 2.52320i 0.340209 + 0.0998944i
\(639\) 8.04854 9.28851i 0.318395 0.367448i
\(640\) −3.29142 + 0.966449i −0.130105 + 0.0382022i
\(641\) −17.1353 + 37.5212i −0.676805 + 1.48200i 0.189188 + 0.981941i \(0.439414\pi\)
−0.865993 + 0.500056i \(0.833313\pi\)
\(642\) 2.22956 + 15.5069i 0.0879936 + 0.612009i
\(643\) 35.8755 1.41479 0.707396 0.706818i \(-0.249870\pi\)
0.707396 + 0.706818i \(0.249870\pi\)
\(644\) 9.24651 + 11.8861i 0.364363 + 0.468380i
\(645\) 12.4155 0.488858
\(646\) −1.20440 8.37678i −0.0473865 0.329580i
\(647\) 2.43195 5.32523i 0.0956099 0.209357i −0.855784 0.517333i \(-0.826925\pi\)
0.951394 + 0.307977i \(0.0996520\pi\)
\(648\) −8.53744 + 2.50682i −0.335382 + 0.0984771i
\(649\) 18.4740 21.3202i 0.725169 0.836889i
\(650\) 2.81663 + 0.827036i 0.110477 + 0.0324390i
\(651\) 4.72376 3.03577i 0.185139 0.118981i
\(652\) −4.31410 9.44656i −0.168953 0.369956i
\(653\) −23.0984 26.6569i −0.903909 1.04317i −0.998862 0.0476849i \(-0.984816\pi\)
0.0949534 0.995482i \(-0.469730\pi\)
\(654\) 2.65797 + 1.70817i 0.103935 + 0.0667949i
\(655\) −2.21620 + 15.4140i −0.0865942 + 0.602276i
\(656\) 0.266121 1.85091i 0.0103903 0.0722660i
\(657\) 6.27659 + 4.03372i 0.244873 + 0.157370i
\(658\) 14.3919 + 16.6091i 0.561053 + 0.647490i
\(659\) 2.06992 + 4.53248i 0.0806325 + 0.176560i 0.945654 0.325174i \(-0.105423\pi\)
−0.865022 + 0.501734i \(0.832696\pi\)
\(660\) 1.65223 1.06182i 0.0643129 0.0413314i
\(661\) −13.1924 3.87364i −0.513125 0.150667i 0.0149114 0.999889i \(-0.495253\pi\)
−0.528036 + 0.849222i \(0.677072\pi\)
\(662\) −2.81102 + 3.24409i −0.109253 + 0.126085i
\(663\) −5.74927 + 1.68814i −0.223283 + 0.0655618i
\(664\) 5.08659 11.1381i 0.197398 0.432241i
\(665\) −2.73688 19.0355i −0.106132 0.738163i
\(666\) −9.94014 −0.385173
\(667\) −6.83075 + 13.0803i −0.264488 + 0.506470i
\(668\) 4.00793 0.155072
\(669\) −2.05399 14.2858i −0.0794120 0.552323i
\(670\) −2.14139 + 4.68899i −0.0827292 + 0.181152i
\(671\) −18.3810 + 5.39715i −0.709590 + 0.208355i
\(672\) 14.1468 16.3262i 0.545723 0.629798i
\(673\) −28.1835 8.27542i −1.08639 0.318994i −0.310960 0.950423i \(-0.600651\pi\)
−0.775434 + 0.631429i \(0.782469\pi\)
\(674\) −18.3895 + 11.8182i −0.708336 + 0.455220i
\(675\) 2.31374 + 5.06639i 0.0890560 + 0.195005i
\(676\) −2.75319 3.17735i −0.105892 0.122206i
\(677\) −10.2360 6.57826i −0.393400 0.252823i 0.328954 0.944346i \(-0.393304\pi\)
−0.722355 + 0.691523i \(0.756940\pi\)
\(678\) 1.90029 13.2168i 0.0729803 0.507589i
\(679\) −3.58321 + 24.9218i −0.137511 + 0.956410i
\(680\) −4.88812 3.14140i −0.187451 0.120467i
\(681\) 7.11595 + 8.21225i 0.272684 + 0.314694i
\(682\) −1.06380 2.32940i −0.0407351 0.0891975i
\(683\) −6.34542 + 4.07795i −0.242801 + 0.156039i −0.656382 0.754429i \(-0.727914\pi\)
0.413581 + 0.910467i \(0.364278\pi\)
\(684\) −3.18362 0.934796i −0.121729 0.0357428i
\(685\) −0.860749 + 0.993358i −0.0328875 + 0.0379542i
\(686\) −64.1098 + 18.8243i −2.44772 + 0.718716i
\(687\) −13.6485 + 29.8861i −0.520723 + 1.14022i
\(688\) −3.29112 22.8902i −0.125473 0.872682i
\(689\) −35.1432 −1.33885
\(690\) −2.61703 6.63809i −0.0996286 0.252708i
\(691\) −32.3179 −1.22943 −0.614715 0.788749i \(-0.710729\pi\)
−0.614715 + 0.788749i \(0.710729\pi\)
\(692\) 0.314328 + 2.18620i 0.0119490 + 0.0831069i
\(693\) −7.21616 + 15.8012i −0.274119 + 0.600238i
\(694\) 5.65719 1.66110i 0.214744 0.0630545i
\(695\) −7.37996 + 8.51693i −0.279938 + 0.323066i
\(696\) 11.5260 + 3.38435i 0.436893 + 0.128283i
\(697\) 1.25696 0.807797i 0.0476106 0.0305975i
\(698\) −15.8834 34.7797i −0.601194 1.31643i
\(699\) −14.7094 16.9756i −0.556362 0.642076i
\(700\) −2.64158 1.69764i −0.0998423 0.0641648i
\(701\) −0.760429 + 5.28890i −0.0287210 + 0.199759i −0.999130 0.0417089i \(-0.986720\pi\)
0.970409 + 0.241468i \(0.0776289\pi\)
\(702\) 2.32686 16.1837i 0.0878218 0.610814i
\(703\) 19.5834 + 12.5855i 0.738604 + 0.474672i
\(704\) −14.1297 16.3066i −0.532534 0.614577i
\(705\) 1.96182 + 4.29580i 0.0738866 + 0.161789i
\(706\) 12.2328 7.86151i 0.460386 0.295872i
\(707\) −43.9014 12.8906i −1.65108 0.484801i
\(708\) 5.89279 6.80064i 0.221465 0.255584i
\(709\) −11.2300 + 3.29741i −0.421750 + 0.123837i −0.485719 0.874115i \(-0.661442\pi\)
0.0639692 + 0.997952i \(0.479624\pi\)
\(710\) 4.30482 9.42623i 0.161557 0.353760i
\(711\) 2.60068 + 18.0881i 0.0975330 + 0.678357i
\(712\) −5.80966 −0.217726
\(713\) 4.10560 0.973150i 0.153756 0.0364448i
\(714\) −14.1327 −0.528902
\(715\) 0.883741 + 6.14656i 0.0330501 + 0.229868i
\(716\) 1.37260 3.00557i 0.0512963 0.112323i
\(717\) −14.7221 + 4.32279i −0.549805 + 0.161437i
\(718\) 11.4685 13.2353i 0.428000 0.493938i
\(719\) 6.27007 + 1.84106i 0.233834 + 0.0686599i 0.396550 0.918013i \(-0.370207\pi\)
−0.162716 + 0.986673i \(0.552025\pi\)
\(720\) 2.76506 1.77700i 0.103048 0.0662247i
\(721\) 34.1475 + 74.7727i 1.27172 + 2.78468i
\(722\) 3.37485 + 3.89478i 0.125599 + 0.144949i
\(723\) 15.8129 + 10.1623i 0.588088 + 0.377941i
\(724\) 0.937997 6.52391i 0.0348604 0.242459i
\(725\) 0.437893 3.04561i 0.0162629 0.113111i
\(726\) 6.06141 + 3.89543i 0.224960 + 0.144573i
\(727\) 2.72621 + 3.14622i 0.101110 + 0.116687i 0.804049 0.594563i \(-0.202675\pi\)
−0.702939 + 0.711250i \(0.748129\pi\)
\(728\) 16.1016 + 35.2577i 0.596767 + 1.30674i
\(729\) 21.2123 13.6323i 0.785641 0.504901i
\(730\) 6.03591 + 1.77230i 0.223399 + 0.0655959i
\(731\) 12.1006 13.9648i 0.447556 0.516508i
\(732\) −5.86312 + 1.72157i −0.216707 + 0.0636309i
\(733\) 12.0738 26.4379i 0.445956 0.976506i −0.544511 0.838754i \(-0.683285\pi\)
0.990467 0.137753i \(-0.0439880\pi\)
\(734\) −0.150608 1.04750i −0.00555904 0.0386640i
\(735\) −23.2366 −0.857093
\(736\) 14.1006 8.04229i 0.519754 0.296443i
\(737\) −10.9044 −0.401668
\(738\) 0.183826 + 1.27854i 0.00676673 + 0.0470636i
\(739\) 16.6264 36.4068i 0.611613 1.33924i −0.309853 0.950784i \(-0.600280\pi\)
0.921466 0.388460i \(-0.126993\pi\)
\(740\) 3.64699 1.07085i 0.134066 0.0393653i
\(741\) −7.94425 + 9.16815i −0.291839 + 0.336801i
\(742\) −79.5309 23.3524i −2.91967 0.857293i
\(743\) 9.74446 6.26238i 0.357489 0.229745i −0.349551 0.936917i \(-0.613666\pi\)
0.707041 + 0.707173i \(0.250030\pi\)
\(744\) −1.42687 3.12441i −0.0523116 0.114546i
\(745\) 3.47172 + 4.00658i 0.127194 + 0.146790i
\(746\) 20.1871 + 12.9734i 0.739101 + 0.474991i
\(747\) −0.787628 + 5.47808i −0.0288178 + 0.200432i
\(748\) 0.415995 2.89331i 0.0152103 0.105790i
\(749\) 44.5735 + 28.6456i 1.62868 + 1.04669i
\(750\) 0.974316 + 1.12442i 0.0355770 + 0.0410580i
\(751\) 5.88895 + 12.8950i 0.214891 + 0.470546i 0.986125 0.166006i \(-0.0530873\pi\)
−0.771234 + 0.636552i \(0.780360\pi\)
\(752\) 7.40006 4.75573i 0.269853 0.173424i
\(753\) 1.72257 + 0.505791i 0.0627739 + 0.0184321i
\(754\) −5.91500 + 6.82627i −0.215411 + 0.248598i
\(755\) −6.19124 + 1.81791i −0.225322 + 0.0661606i
\(756\) −7.26527 + 15.9087i −0.264235 + 0.578595i
\(757\) 0.822042 + 5.71743i 0.0298776 + 0.207803i 0.999292 0.0376269i \(-0.0119798\pi\)
−0.969414 + 0.245430i \(0.921071\pi\)
\(758\) −8.30559 −0.301673
\(759\) 10.4734 10.8690i 0.380159 0.394520i
\(760\) −11.7638 −0.426718
\(761\) 2.26977 + 15.7866i 0.0822790 + 0.572263i 0.988702 + 0.149893i \(0.0478928\pi\)
−0.906423 + 0.422371i \(0.861198\pi\)
\(762\) 11.8617 25.9736i 0.429706 0.940924i
\(763\) 10.2529 3.01052i 0.371179 0.108988i
\(764\) −8.20130 + 9.46481i −0.296713 + 0.342425i
\(765\) 2.51990 + 0.739910i 0.0911072 + 0.0267515i
\(766\) −15.8736 + 10.2013i −0.573536 + 0.368589i
\(767\) 11.8191 + 25.8803i 0.426764 + 0.934483i
\(768\) −11.1027 12.8132i −0.400636 0.462358i
\(769\) 3.27695 + 2.10597i 0.118170 + 0.0759431i 0.598391 0.801205i \(-0.295807\pi\)
−0.480221 + 0.877148i \(0.659443\pi\)
\(770\) −2.08439 + 14.4972i −0.0751161 + 0.522444i
\(771\) −2.16594 + 15.0645i −0.0780045 + 0.542533i
\(772\) 1.18874 + 0.763957i 0.0427837 + 0.0274954i
\(773\) 12.4133 + 14.3257i 0.446476 + 0.515261i 0.933720 0.358005i \(-0.116543\pi\)
−0.487243 + 0.873266i \(0.661998\pi\)
\(774\) 6.63595 + 14.5307i 0.238524 + 0.522296i
\(775\) −0.740132 + 0.475654i −0.0265863 + 0.0170860i
\(776\) 14.7776 + 4.33911i 0.530487 + 0.155765i
\(777\) 25.4574 29.3795i 0.913281 1.05398i
\(778\) 23.6789 6.95275i 0.848929 0.249268i
\(779\) 1.25663 2.75164i 0.0450236 0.0985878i
\(780\) 0.281893 + 1.96061i 0.0100934 + 0.0702011i
\(781\) 21.9210 0.784394
\(782\) −10.0171 3.52613i −0.358212 0.126094i
\(783\) −17.1376 −0.612449
\(784\) 6.15960 + 42.8410i 0.219986 + 1.53003i
\(785\) 7.42484 16.2581i 0.265004 0.580277i
\(786\) 22.2306 6.52750i 0.792940 0.232828i
\(787\) 11.4138 13.1723i 0.406859 0.469540i −0.514930 0.857232i \(-0.672182\pi\)
0.921789 + 0.387692i \(0.126728\pi\)
\(788\) −9.48279 2.78440i −0.337810 0.0991901i
\(789\) −21.5890 + 13.8744i −0.768590 + 0.493943i
\(790\) 6.40063 + 14.0154i 0.227724 + 0.498647i
\(791\) −29.5733 34.1294i −1.05151 1.21350i
\(792\) 8.93907 + 5.74479i 0.317636 + 0.204132i
\(793\) 2.74959 19.1238i 0.0976409 0.679108i
\(794\) 2.80227 19.4902i 0.0994488 0.691682i
\(795\) −14.9841 9.62971i −0.531432 0.341530i
\(796\) −4.45037 5.13600i −0.157739 0.182041i
\(797\) 14.9340 + 32.7009i 0.528990 + 1.15833i 0.965922 + 0.258832i \(0.0833376\pi\)
−0.436932 + 0.899494i \(0.643935\pi\)
\(798\) −24.0704 + 15.4691i −0.852085 + 0.547602i
\(799\) 6.74395 + 1.98020i 0.238584 + 0.0700546i
\(800\) −2.21656 + 2.55804i −0.0783672 + 0.0904405i
\(801\) 2.51953 0.739800i 0.0890232 0.0261396i
\(802\) 5.89758 12.9139i 0.208251 0.456006i
\(803\) 1.89382 + 13.1718i 0.0668315 + 0.464823i
\(804\) −3.47825 −0.122668
\(805\) −22.7630 8.01280i −0.802291 0.282414i
\(806\) 2.58268 0.0909709
\(807\) −0.590912 4.10988i −0.0208011 0.144675i
\(808\) −11.6268 + 25.4591i −0.409029 + 0.895649i
\(809\) 1.71458 0.503445i 0.0602813 0.0177002i −0.251453 0.967870i \(-0.580908\pi\)
0.311734 + 0.950169i \(0.399090\pi\)
\(810\) 2.22058 2.56268i 0.0780232 0.0900435i
\(811\) −10.7355 3.15223i −0.376975 0.110690i 0.0877557 0.996142i \(-0.472031\pi\)
−0.464730 + 0.885452i \(0.653849\pi\)
\(812\) 8.12796 5.22352i 0.285236 0.183310i
\(813\) −13.9830 30.6186i −0.490406 1.07384i
\(814\) −11.6100 13.3987i −0.406931 0.469624i
\(815\) 14.0001 + 8.99730i 0.490401 + 0.315162i
\(816\) −0.805035 + 5.59914i −0.0281819 + 0.196009i
\(817\) 5.32404 37.0295i 0.186264 1.29550i
\(818\) −14.2882 9.18250i −0.499577 0.321059i
\(819\) −11.4727 13.2402i −0.400887 0.462648i
\(820\) −0.205182 0.449286i −0.00716526 0.0156897i
\(821\) 27.5893 17.7305i 0.962872 0.618800i 0.0380802 0.999275i \(-0.487876\pi\)
0.924791 + 0.380475i \(0.124239\pi\)
\(822\) 1.87638 + 0.550954i 0.0654462 + 0.0192167i
\(823\) 8.24651 9.51698i 0.287455 0.331741i −0.593595 0.804764i \(-0.702292\pi\)
0.881050 + 0.473023i \(0.156837\pi\)
\(824\) 48.2459 14.1663i 1.68073 0.493506i
\(825\) −1.30744 + 2.86289i −0.0455191 + 0.0996729i
\(826\) 9.55008 + 66.4223i 0.332290 + 2.31113i
\(827\) −9.82943 −0.341803 −0.170901 0.985288i \(-0.554668\pi\)
−0.170901 + 0.985288i \(0.554668\pi\)
\(828\) −2.88904 + 2.99817i −0.100401 + 0.104194i
\(829\) 23.3956 0.812561 0.406281 0.913748i \(-0.366826\pi\)
0.406281 + 0.913748i \(0.366826\pi\)
\(830\) 0.664088 + 4.61883i 0.0230508 + 0.160322i
\(831\) −7.25903 + 15.8951i −0.251813 + 0.551393i
\(832\) 20.8794 6.13074i 0.723862 0.212545i
\(833\) −22.6473 + 26.1363i −0.784681 + 0.905570i
\(834\) 16.0878 + 4.72382i 0.557077 + 0.163572i
\(835\) −5.40309 + 3.47236i −0.186982 + 0.120166i
\(836\) −2.45841 5.38316i −0.0850258 0.186180i
\(837\) 3.20896 + 3.70334i 0.110918 + 0.128006i
\(838\) −24.2014 15.5533i −0.836025 0.537280i
\(839\) 6.39946 44.5092i 0.220934 1.53663i −0.513584 0.858039i \(-0.671683\pi\)
0.734518 0.678589i \(-0.237408\pi\)
\(840\) −2.79577 + 19.4450i −0.0964633 + 0.670917i
\(841\) −16.4318 10.5601i −0.566613 0.364140i
\(842\) 10.4869 + 12.1025i 0.361403 + 0.417081i
\(843\) 5.87010 + 12.8537i 0.202177 + 0.442706i
\(844\) −6.01902 + 3.86819i −0.207183 + 0.133149i
\(845\) 6.46433 + 1.89810i 0.222380 + 0.0652966i
\(846\) −3.97910 + 4.59213i −0.136804 + 0.157881i
\(847\) 23.3813 6.86538i 0.803392 0.235897i
\(848\) −13.7822 + 30.1787i −0.473281 + 1.03634i
\(849\) −3.13430 21.7996i −0.107569 0.748159i
\(850\) 2.21435 0.0759515
\(851\) 25.3743 14.4723i 0.869820 0.496104i
\(852\) 6.99229 0.239552
\(853\) −1.80577 12.5594i −0.0618284 0.430026i −0.997100 0.0760963i \(-0.975754\pi\)
0.935272 0.353930i \(-0.115155\pi\)
\(854\) 18.9301 41.4512i 0.647776 1.41843i
\(855\) 5.10172 1.49800i 0.174475 0.0512305i
\(856\) 21.2246 24.4945i 0.725442 0.837205i
\(857\) 38.7717 + 11.3844i 1.32442 + 0.388884i 0.866085 0.499897i \(-0.166629\pi\)
0.458332 + 0.888781i \(0.348447\pi\)
\(858\) 7.77236 4.99499i 0.265344 0.170526i
\(859\) 7.10082 + 15.5486i 0.242277 + 0.530512i 0.991236 0.132104i \(-0.0421733\pi\)
−0.748959 + 0.662616i \(0.769446\pi\)
\(860\) −4.00009 4.61635i −0.136402 0.157416i
\(861\) −4.24969 2.73111i −0.144829 0.0930759i
\(862\) 0.0171073 0.118984i 0.000582677 0.00405260i
\(863\) −7.61977 + 52.9967i −0.259380 + 1.80403i 0.277885 + 0.960614i \(0.410367\pi\)
−0.537265 + 0.843414i \(0.680542\pi\)
\(864\) 15.8595 + 10.1923i 0.539552 + 0.346749i
\(865\) −2.31781 2.67489i −0.0788078 0.0909490i
\(866\) −3.45051 7.55556i −0.117253 0.256748i
\(867\) 14.3370 9.21382i 0.486910 0.312918i
\(868\) −2.65070 0.778316i −0.0899707 0.0264178i
\(869\) −21.3441 + 24.6324i −0.724047 + 0.835595i
\(870\) −4.39249 + 1.28975i −0.148919 + 0.0437267i
\(871\) 4.56851 10.0036i 0.154798 0.338960i
\(872\) −0.930242 6.46997i −0.0315020 0.219101i
\(873\) −6.96130 −0.235604
\(874\) −20.9206 + 4.95880i −0.707649 + 0.167734i
\(875\) 5.03190 0.170109
\(876\) 0.604085 + 4.20150i 0.0204101 + 0.141956i
\(877\) 18.4608 40.4236i 0.623378 1.36501i −0.289659 0.957130i \(-0.593542\pi\)
0.913037 0.407877i \(-0.133731\pi\)
\(878\) 40.6626 11.9396i 1.37230 0.402943i
\(879\) −19.7240 + 22.7627i −0.665275 + 0.767768i
\(880\) 5.62485 + 1.65160i 0.189614 + 0.0556756i
\(881\) 1.16897 0.751255i 0.0393838 0.0253104i −0.520801 0.853678i \(-0.674367\pi\)
0.560185 + 0.828368i \(0.310730\pi\)
\(882\) −12.4197 27.1954i −0.418194 0.915718i
\(883\) −26.0811 30.0991i −0.877697 1.01292i −0.999792 0.0203982i \(-0.993507\pi\)
0.122095 0.992518i \(-0.461039\pi\)
\(884\) 2.48003 + 1.59382i 0.0834123 + 0.0536058i
\(885\) −2.05219 + 14.2733i −0.0689835 + 0.479791i
\(886\) 5.55471 38.6339i 0.186614 1.29793i
\(887\) −23.7717 15.2771i −0.798176 0.512956i 0.0768443 0.997043i \(-0.475516\pi\)
−0.875020 + 0.484087i \(0.839152\pi\)
\(888\) −15.5724 17.9715i −0.522576 0.603085i
\(889\) −40.1171 87.8442i −1.34548 2.94620i
\(890\) 1.86255 1.19699i 0.0624329 0.0401232i
\(891\) 6.88250 + 2.02088i 0.230572 + 0.0677022i
\(892\) −4.65004 + 5.36643i −0.155695 + 0.179681i
\(893\) 13.6536 4.00906i 0.456901 0.134158i
\(894\) 3.27664 7.17484i 0.109587 0.239963i
\(895\) 0.753539 + 5.24098i 0.0251880 + 0.175187i
\(896\) 17.2613 0.576660
\(897\) 5.58325 + 14.1619i 0.186419 + 0.472852i
\(898\) 12.8629 0.429239
\(899\) −0.385257 2.67952i −0.0128490 0.0893670i
\(900\) 0.360651 0.789716i 0.0120217 0.0263239i
\(901\) −25.4355 + 7.46855i −0.847381 + 0.248813i
\(902\) −1.50868 + 1.74111i −0.0502336 + 0.0579726i
\(903\) −59.9427 17.6008i −1.99477 0.585717i
\(904\) −23.2391 + 14.9349i −0.772922 + 0.496727i
\(905\) 4.38761 + 9.60753i 0.145849 + 0.319365i
\(906\) 6.28689 + 7.25546i 0.208868 + 0.241047i
\(907\) −18.8356 12.1049i −0.625424 0.401936i 0.189189 0.981941i \(-0.439414\pi\)
−0.814613 + 0.580005i \(0.803051\pi\)
\(908\) 0.760839 5.29175i 0.0252493 0.175613i
\(909\) 1.80034 12.5217i 0.0597136 0.415317i
\(910\) −12.4264 7.98598i −0.411932 0.264733i
\(911\) 36.4413 + 42.0555i 1.20735 + 1.39336i 0.896583 + 0.442876i \(0.146042\pi\)
0.310771 + 0.950485i \(0.399413\pi\)
\(912\) 4.75752 + 10.4175i 0.157537 + 0.344958i
\(913\) −8.30405 + 5.33669i −0.274824 + 0.176619i
\(914\) −1.04989 0.308275i −0.0347272 0.0101968i
\(915\) 6.41255 7.40047i 0.211992 0.244652i
\(916\) 15.5097 4.55406i 0.512455 0.150470i
\(917\) 32.5517 71.2782i 1.07495 2.35381i
\(918\) −1.75521 12.2078i −0.0579306 0.402916i
\(919\) −36.7437 −1.21206 −0.606032 0.795440i \(-0.707240\pi\)
−0.606032 + 0.795440i \(0.707240\pi\)
\(920\) −6.83320 + 13.0850i −0.225284 + 0.431398i
\(921\) −0.679797 −0.0224001
\(922\) 5.87027 + 40.8286i 0.193327 + 1.34462i
\(923\) −9.18403 + 20.1102i −0.302296 + 0.661936i
\(924\) −9.48237 + 2.78427i −0.311947 + 0.0915959i
\(925\) −3.98875 + 4.60326i −0.131149 + 0.151354i
\(926\) −10.9668 3.22016i −0.360393 0.105821i
\(927\) −19.1193 + 12.2872i −0.627961 + 0.403566i
\(928\) −4.32644 9.47357i −0.142022 0.310985i
\(929\) 20.2373 + 23.3551i 0.663966 + 0.766257i 0.983420 0.181344i \(-0.0580449\pi\)
−0.319454 + 0.947602i \(0.603499\pi\)
\(930\) 1.10118 + 0.707689i 0.0361093 + 0.0232060i
\(931\) −9.96437 + 69.3037i −0.326569 + 2.27134i
\(932\) −1.57274 + 10.9386i −0.0515167 + 0.358306i
\(933\) −5.12208 3.29176i −0.167689 0.107767i
\(934\) 11.2044 + 12.9305i 0.366618 + 0.423100i
\(935\) 1.94588 + 4.26088i 0.0636370 + 0.139346i
\(936\) −9.01537 + 5.79383i −0.294677 + 0.189377i
\(937\) −18.7405 5.50271i −0.612225 0.179766i −0.0391027 0.999235i \(-0.512450\pi\)
−0.573123 + 0.819470i \(0.694268\pi\)
\(938\) 16.9861 19.6030i 0.554617 0.640062i
\(939\) 0.362022 0.106299i 0.0118141 0.00346894i
\(940\) 0.965203 2.11350i 0.0314814 0.0689348i
\(941\) −0.108021 0.751302i −0.00352138 0.0244917i 0.987985 0.154550i \(-0.0493927\pi\)
−0.991506 + 0.130058i \(0.958484\pi\)
\(942\) −26.5923 −0.866423
\(943\) −2.33073 2.99610i −0.0758991 0.0975664i
\(944\) 26.8595 0.874202
\(945\) −3.98855 27.7410i −0.129748 0.902414i
\(946\) −11.8357 + 25.9166i −0.384813 + 0.842622i
\(947\) 13.5821 3.98806i 0.441358 0.129595i −0.0535005 0.998568i \(-0.517038\pi\)
0.494859 + 0.868973i \(0.335220\pi\)
\(948\) −6.80826 + 7.85715i −0.221122 + 0.255188i
\(949\) −12.8772 3.78109i −0.418012 0.122739i
\(950\) 3.77143 2.42375i 0.122361 0.0786369i
\(951\) −0.946214 2.07192i −0.0306831 0.0671866i
\(952\) 19.1468 + 22.0965i 0.620550 + 0.716153i
\(953\) 44.9827 + 28.9087i 1.45713 + 0.936443i 0.998865 + 0.0476294i \(0.0151667\pi\)
0.458269 + 0.888814i \(0.348470\pi\)
\(954\) 3.26147 22.6840i 0.105594 0.734422i
\(955\) 2.85614 19.8649i 0.0924225 0.642812i
\(956\) 6.35056 + 4.08126i 0.205392 + 0.131997i
\(957\) −6.34169 7.31870i −0.204998 0.236580i
\(958\) 8.62205 + 18.8797i 0.278566 + 0.609974i
\(959\) 5.56399 3.57576i 0.179671 0.115467i
\(960\) 10.5823 + 3.10725i 0.341543 + 0.100286i
\(961\) 19.7938 22.8433i 0.638509 0.736879i
\(962\) 17.1560 5.03747i 0.553133 0.162414i
\(963\) −6.08555 + 13.3255i −0.196104 + 0.429408i
\(964\) −1.31611 9.15376i −0.0423891 0.294823i
\(965\) −2.26441 −0.0728939
\(966\) 3.22471 + 35.7592i 0.103753 + 1.15053i
\(967\) 45.9408 1.47736 0.738679 0.674058i \(-0.235450\pi\)
0.738679 + 0.674058i \(0.235450\pi\)
\(968\) −2.12138 14.7545i −0.0681839 0.474229i
\(969\) −3.80141 + 8.32392i −0.122119 + 0.267403i
\(970\) −5.63166 + 1.65361i −0.180822 + 0.0530941i
\(971\) −27.3561 + 31.5706i −0.877898 + 1.01315i 0.121890 + 0.992544i \(0.461104\pi\)
−0.999788 + 0.0206043i \(0.993441\pi\)
\(972\) −7.80927 2.29301i −0.250482 0.0735483i
\(973\) 47.7050 30.6581i 1.52935 0.982855i
\(974\) 21.0109 + 46.0075i 0.673234 + 1.47418i
\(975\) −2.07864 2.39887i −0.0665696 0.0768254i
\(976\) −15.3440 9.86101i −0.491150 0.315643i
\(977\) 0.824817 5.73673i 0.0263882 0.183534i −0.972364 0.233469i \(-0.924992\pi\)
0.998752 + 0.0499348i \(0.0159014\pi\)
\(978\) 3.52374 24.5082i 0.112677 0.783685i
\(979\) 3.94000 + 2.53208i 0.125923 + 0.0809257i
\(980\) 7.48651 + 8.63989i 0.239148 + 0.275991i
\(981\) 1.22731 + 2.68744i 0.0391850 + 0.0858033i
\(982\) −14.2828 + 9.17898i −0.455782 + 0.292913i
\(983\) −31.2574 9.17801i −0.996957 0.292733i −0.257751 0.966212i \(-0.582981\pi\)
−0.739207 + 0.673478i \(0.764799\pi\)
\(984\) −2.02358 + 2.33534i −0.0645094 + 0.0744478i
\(985\) 15.1961 4.46197i 0.484187 0.142170i
\(986\) −2.83039 + 6.19769i −0.0901379 + 0.197375i
\(987\) −3.38189 23.5216i −0.107647 0.748700i
\(988\) 5.96846 0.189882
\(989\) −38.0956 27.4311i −1.21137 0.872259i
\(990\) −4.04946 −0.128700
\(991\) 1.85281 + 12.8866i 0.0588564 + 0.409355i 0.997857 + 0.0654387i \(0.0208447\pi\)
−0.939000 + 0.343917i \(0.888246\pi\)
\(992\) −1.23707 + 2.70881i −0.0392770 + 0.0860047i
\(993\) 4.45346 1.30766i 0.141326 0.0414972i
\(994\) −34.1471 + 39.4078i −1.08308 + 1.24994i
\(995\) 10.4492 + 3.06817i 0.331263 + 0.0972675i
\(996\) −2.64880 + 1.70228i −0.0839304 + 0.0539388i
\(997\) −14.0641 30.7961i −0.445415 0.975322i −0.990573 0.136989i \(-0.956258\pi\)
0.545158 0.838333i \(-0.316470\pi\)
\(998\) 18.3315 + 21.1556i 0.580272 + 0.669670i
\(999\) 28.5396 + 18.3413i 0.902952 + 0.580292i
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 115.2.g.c.26.2 50
5.2 odd 4 575.2.p.d.49.7 100
5.3 odd 4 575.2.p.d.49.4 100
5.4 even 2 575.2.k.d.26.4 50
23.8 even 11 inner 115.2.g.c.31.2 yes 50
23.10 odd 22 2645.2.a.x.1.17 25
23.13 even 11 2645.2.a.y.1.17 25
115.8 odd 44 575.2.p.d.399.7 100
115.54 even 22 575.2.k.d.376.4 50
115.77 odd 44 575.2.p.d.399.4 100
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
115.2.g.c.26.2 50 1.1 even 1 trivial
115.2.g.c.31.2 yes 50 23.8 even 11 inner
575.2.k.d.26.4 50 5.4 even 2
575.2.k.d.376.4 50 115.54 even 22
575.2.p.d.49.4 100 5.3 odd 4
575.2.p.d.49.7 100 5.2 odd 4
575.2.p.d.399.4 100 115.77 odd 44
575.2.p.d.399.7 100 115.8 odd 44
2645.2.a.x.1.17 25 23.10 odd 22
2645.2.a.y.1.17 25 23.13 even 11