Properties

Label 882.2.y.a.583.3
Level $882$
Weight $2$
Character 882.583
Analytic conductor $7.043$
Analytic rank $0$
Dimension $336$
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] = [882,2,Mod(193,882)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(882, base_ring=CyclotomicField(42))
 
chi = DirichletCharacter(H, H._module([14, 22]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("882.193");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 882 = 2 \cdot 3^{2} \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 882.y (of order \(21\), degree \(12\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(7.04280545828\)
Analytic rank: \(0\)
Dimension: \(336\)
Relative dimension: \(28\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 583.3
Character \(\chi\) \(=\) 882.583
Dual form 882.2.y.a.823.3

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.365341 + 0.930874i) q^{2} +(-1.66540 + 0.475871i) q^{3} +(-0.733052 - 0.680173i) q^{4} +(-2.16757 + 1.04385i) q^{5} +(0.165462 - 1.72413i) q^{6} +(0.529338 + 2.59226i) q^{7} +(0.900969 - 0.433884i) q^{8} +(2.54709 - 1.58503i) q^{9} +O(q^{10})\) \(q+(-0.365341 + 0.930874i) q^{2} +(-1.66540 + 0.475871i) q^{3} +(-0.733052 - 0.680173i) q^{4} +(-2.16757 + 1.04385i) q^{5} +(0.165462 - 1.72413i) q^{6} +(0.529338 + 2.59226i) q^{7} +(0.900969 - 0.433884i) q^{8} +(2.54709 - 1.58503i) q^{9} +(-0.179787 - 2.39909i) q^{10} +(3.71162 + 4.65422i) q^{11} +(1.54450 + 0.783919i) q^{12} +(-1.01151 + 2.57728i) q^{13} +(-2.60645 - 0.454311i) q^{14} +(3.11313 - 2.76990i) q^{15} +(0.0747301 + 0.997204i) q^{16} +(3.21455 - 2.98267i) q^{17} +(0.544905 + 2.95010i) q^{18} +(-3.75775 + 6.50861i) q^{19} +(2.29894 + 0.709128i) q^{20} +(-2.11514 - 4.06524i) q^{21} +(-5.68850 + 1.75467i) q^{22} +(-0.0371607 + 0.162812i) q^{23} +(-1.29400 + 1.15133i) q^{24} +(0.491293 - 0.616062i) q^{25} +(-2.02958 - 1.88317i) q^{26} +(-3.48765 + 3.85179i) q^{27} +(1.37515 - 2.26030i) q^{28} +(8.62819 + 2.66144i) q^{29} +(1.44108 + 3.90989i) q^{30} +(1.70685 - 2.95634i) q^{31} +(-0.955573 - 0.294755i) q^{32} +(-8.39613 - 5.98487i) q^{33} +(1.60208 + 4.08203i) q^{34} +(-3.85330 - 5.06635i) q^{35} +(-2.94524 - 0.570554i) q^{36} +(-7.81522 - 2.41068i) q^{37} +(-4.68583 - 5.87585i) q^{38} +(0.458108 - 4.77354i) q^{39} +(-1.50000 + 1.88095i) q^{40} +(-6.62897 - 4.51955i) q^{41} +(4.55697 - 0.483729i) q^{42} +(-3.86565 + 2.63556i) q^{43} +(0.444866 - 5.93633i) q^{44} +(-3.86647 + 6.09443i) q^{45} +(-0.137981 - 0.0940736i) q^{46} +(2.11100 - 5.37873i) q^{47} +(-0.598996 - 1.62518i) q^{48} +(-6.43960 + 2.74436i) q^{49} +(0.393986 + 0.682404i) q^{50} +(-3.93413 + 6.49703i) q^{51} +(2.49448 - 1.20128i) q^{52} +(2.33200 - 0.719328i) q^{53} +(-2.31135 - 4.65378i) q^{54} +(-12.9035 - 6.21399i) q^{55} +(1.60166 + 2.10587i) q^{56} +(3.16088 - 12.6276i) q^{57} +(-5.62970 + 7.05942i) q^{58} +(-0.899866 + 0.613518i) q^{59} +(-4.16610 - 0.0869813i) q^{60} +(-3.33580 + 3.09517i) q^{61} +(2.12840 + 2.66893i) q^{62} +(5.45708 + 5.76370i) q^{63} +(0.623490 - 0.781831i) q^{64} +(-0.497771 - 6.64229i) q^{65} +(8.63861 - 5.62922i) q^{66} +(7.30495 - 12.6525i) q^{67} -4.38516 q^{68} +(-0.0155901 - 0.288829i) q^{69} +(6.12390 - 1.73599i) q^{70} +(-2.33298 + 10.2214i) q^{71} +(1.60713 - 2.53320i) q^{72} +(-0.926750 - 0.139685i) q^{73} +(5.09926 - 6.39427i) q^{74} +(-0.525031 + 1.25978i) q^{75} +(7.18160 - 2.21523i) q^{76} +(-10.1002 + 12.0851i) q^{77} +(4.27620 + 2.17041i) q^{78} +(0.765945 + 1.32666i) q^{79} +(-1.20291 - 2.08350i) q^{80} +(3.97536 - 8.07443i) q^{81} +(6.62897 - 4.51955i) q^{82} +(-1.56631 - 3.99090i) q^{83} +(-1.21456 + 4.41869i) q^{84} +(-3.85431 + 9.82063i) q^{85} +(-1.04109 - 4.56131i) q^{86} +(-15.6359 - 0.326451i) q^{87} +(5.36344 + 2.58290i) q^{88} +(0.879828 + 2.24176i) q^{89} +(-4.26057 - 5.82575i) q^{90} +(-7.21640 - 1.25784i) q^{91} +(0.137981 - 0.0940736i) q^{92} +(-1.43574 + 5.73572i) q^{93} +(4.23569 + 3.93014i) q^{94} +(1.35119 - 18.0304i) q^{95} +(1.73167 + 0.0361545i) q^{96} +(-2.57345 + 4.45735i) q^{97} +(-0.202004 - 6.99708i) q^{98} +(16.8309 + 5.97171i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 336 q - 28 q^{2} - 13 q^{3} + 28 q^{4} - 4 q^{5} - 5 q^{6} - q^{7} + 56 q^{8} + 29 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 336 q - 28 q^{2} - 13 q^{3} + 28 q^{4} - 4 q^{5} - 5 q^{6} - q^{7} + 56 q^{8} + 29 q^{9} - 2 q^{10} + q^{12} - 23 q^{13} + q^{14} + q^{15} + 28 q^{16} + 7 q^{17} - q^{18} + 38 q^{19} + 2 q^{20} + 13 q^{21} + 21 q^{23} - q^{24} - 48 q^{25} + 9 q^{26} - 28 q^{27} + 2 q^{28} + 11 q^{29} - 7 q^{30} + 44 q^{31} - 28 q^{32} - 25 q^{33} - 7 q^{34} - 2 q^{35} + 5 q^{36} + 52 q^{37} - 22 q^{38} - 51 q^{39} + 4 q^{40} + 3 q^{41} + 13 q^{42} + q^{43} - 75 q^{45} - 42 q^{46} - 33 q^{47} - 2 q^{48} - 41 q^{49} + 172 q^{50} + 4 q^{51} + 11 q^{52} - 78 q^{53} + 11 q^{54} + 23 q^{55} + q^{56} - 30 q^{57} - 13 q^{58} + 14 q^{59} - 8 q^{60} + 92 q^{61} - 24 q^{62} - 22 q^{63} - 56 q^{64} + 7 q^{65} + 29 q^{66} + 29 q^{67} + 42 q^{68} + 19 q^{69} - 34 q^{70} + 7 q^{71} - q^{72} - 8 q^{73} - 8 q^{74} - 5 q^{75} - 4 q^{76} + 2 q^{77} + 4 q^{78} - 9 q^{79} - 12 q^{80} + 45 q^{81} - 3 q^{82} - 109 q^{83} + 28 q^{84} + 93 q^{85} + 2 q^{86} - 15 q^{87} + 47 q^{89} - 3 q^{90} + 45 q^{91} + 42 q^{92} + 155 q^{93} - 9 q^{94} - 13 q^{95} - q^{96} + 111 q^{97} - 14 q^{98} - 157 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/882\mathbb{Z}\right)^\times\).

\(n\) \(199\) \(785\)
\(\chi(n)\) \(e\left(\frac{4}{21}\right)\) \(e\left(\frac{2}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.365341 + 0.930874i −0.258335 + 0.658227i
\(3\) −1.66540 + 0.475871i −0.961517 + 0.274744i
\(4\) −0.733052 0.680173i −0.366526 0.340086i
\(5\) −2.16757 + 1.04385i −0.969367 + 0.466822i −0.850435 0.526080i \(-0.823661\pi\)
−0.118932 + 0.992902i \(0.537947\pi\)
\(6\) 0.165462 1.72413i 0.0675494 0.703873i
\(7\) 0.529338 + 2.59226i 0.200071 + 0.979781i
\(8\) 0.900969 0.433884i 0.318541 0.153401i
\(9\) 2.54709 1.58503i 0.849031 0.528343i
\(10\) −0.179787 2.39909i −0.0568537 0.758660i
\(11\) 3.71162 + 4.65422i 1.11910 + 1.40330i 0.904435 + 0.426612i \(0.140293\pi\)
0.214661 + 0.976689i \(0.431135\pi\)
\(12\) 1.54450 + 0.783919i 0.445858 + 0.226298i
\(13\) −1.01151 + 2.57728i −0.280542 + 0.714808i 0.719257 + 0.694744i \(0.244482\pi\)
−0.999799 + 0.0200643i \(0.993613\pi\)
\(14\) −2.60645 0.454311i −0.696604 0.121420i
\(15\) 3.11313 2.76990i 0.803806 0.715186i
\(16\) 0.0747301 + 0.997204i 0.0186825 + 0.249301i
\(17\) 3.21455 2.98267i 0.779643 0.723403i −0.186206 0.982511i \(-0.559619\pi\)
0.965848 + 0.259108i \(0.0834286\pi\)
\(18\) 0.544905 + 2.95010i 0.128435 + 0.695345i
\(19\) −3.75775 + 6.50861i −0.862086 + 1.49318i 0.00782604 + 0.999969i \(0.497509\pi\)
−0.869912 + 0.493207i \(0.835824\pi\)
\(20\) 2.29894 + 0.709128i 0.514058 + 0.158566i
\(21\) −2.11514 4.06524i −0.461561 0.887108i
\(22\) −5.68850 + 1.75467i −1.21279 + 0.374097i
\(23\) −0.0371607 + 0.162812i −0.00774853 + 0.0339485i −0.978654 0.205513i \(-0.934114\pi\)
0.970906 + 0.239461i \(0.0769709\pi\)
\(24\) −1.29400 + 1.15133i −0.264136 + 0.235015i
\(25\) 0.491293 0.616062i 0.0982586 0.123212i
\(26\) −2.02958 1.88317i −0.398032 0.369320i
\(27\) −3.48765 + 3.85179i −0.671199 + 0.741278i
\(28\) 1.37515 2.26030i 0.259879 0.427157i
\(29\) 8.62819 + 2.66144i 1.60221 + 0.494218i 0.961787 0.273800i \(-0.0882807\pi\)
0.640428 + 0.768018i \(0.278757\pi\)
\(30\) 1.44108 + 3.90989i 0.263103 + 0.713844i
\(31\) 1.70685 2.95634i 0.306559 0.530975i −0.671049 0.741413i \(-0.734156\pi\)
0.977607 + 0.210438i \(0.0674891\pi\)
\(32\) −0.955573 0.294755i −0.168923 0.0521058i
\(33\) −8.39613 5.98487i −1.46158 1.04183i
\(34\) 1.60208 + 4.08203i 0.274754 + 0.700062i
\(35\) −3.85330 5.06635i −0.651326 0.856370i
\(36\) −2.94524 0.570554i −0.490874 0.0950924i
\(37\) −7.81522 2.41068i −1.28481 0.396313i −0.424200 0.905569i \(-0.639445\pi\)
−0.860615 + 0.509256i \(0.829921\pi\)
\(38\) −4.68583 5.87585i −0.760142 0.953188i
\(39\) 0.458108 4.77354i 0.0733559 0.764378i
\(40\) −1.50000 + 1.88095i −0.237172 + 0.297404i
\(41\) −6.62897 4.51955i −1.03527 0.705836i −0.0785701 0.996909i \(-0.525035\pi\)
−0.956701 + 0.291073i \(0.905988\pi\)
\(42\) 4.55697 0.483729i 0.703156 0.0746409i
\(43\) −3.86565 + 2.63556i −0.589506 + 0.401919i −0.821009 0.570916i \(-0.806588\pi\)
0.231502 + 0.972834i \(0.425636\pi\)
\(44\) 0.444866 5.93633i 0.0670661 0.894935i
\(45\) −3.86647 + 6.09443i −0.576380 + 0.908505i
\(46\) −0.137981 0.0940736i −0.0203441 0.0138704i
\(47\) 2.11100 5.37873i 0.307921 0.784569i −0.690219 0.723600i \(-0.742486\pi\)
0.998140 0.0609684i \(-0.0194189\pi\)
\(48\) −0.598996 1.62518i −0.0864576 0.234574i
\(49\) −6.43960 + 2.74436i −0.919943 + 0.392052i
\(50\) 0.393986 + 0.682404i 0.0557181 + 0.0965065i
\(51\) −3.93413 + 6.49703i −0.550889 + 0.909767i
\(52\) 2.49448 1.20128i 0.345922 0.166587i
\(53\) 2.33200 0.719328i 0.320325 0.0988072i −0.130423 0.991458i \(-0.541633\pi\)
0.450748 + 0.892651i \(0.351157\pi\)
\(54\) −2.31135 4.65378i −0.314535 0.633299i
\(55\) −12.9035 6.21399i −1.73991 0.837894i
\(56\) 1.60166 + 2.10587i 0.214030 + 0.281409i
\(57\) 3.16088 12.6276i 0.418668 1.67257i
\(58\) −5.62970 + 7.05942i −0.739216 + 0.926948i
\(59\) −0.899866 + 0.613518i −0.117153 + 0.0798733i −0.620479 0.784223i \(-0.713062\pi\)
0.503326 + 0.864096i \(0.332109\pi\)
\(60\) −4.16610 0.0869813i −0.537841 0.0112292i
\(61\) −3.33580 + 3.09517i −0.427106 + 0.396296i −0.864223 0.503108i \(-0.832190\pi\)
0.437118 + 0.899404i \(0.355999\pi\)
\(62\) 2.12840 + 2.66893i 0.270307 + 0.338955i
\(63\) 5.45708 + 5.76370i 0.687527 + 0.726159i
\(64\) 0.623490 0.781831i 0.0779362 0.0977289i
\(65\) −0.497771 6.64229i −0.0617408 0.823874i
\(66\) 8.63861 5.62922i 1.06334 0.692909i
\(67\) 7.30495 12.6525i 0.892442 1.54575i 0.0555021 0.998459i \(-0.482324\pi\)
0.836939 0.547296i \(-0.184343\pi\)
\(68\) −4.38516 −0.531779
\(69\) −0.0155901 0.288829i −0.00187683 0.0347710i
\(70\) 6.12390 1.73599i 0.731946 0.207490i
\(71\) −2.33298 + 10.2214i −0.276873 + 1.21306i 0.624849 + 0.780746i \(0.285161\pi\)
−0.901722 + 0.432316i \(0.857697\pi\)
\(72\) 1.60713 2.53320i 0.189402 0.298541i
\(73\) −0.926750 0.139685i −0.108468 0.0163489i 0.0945840 0.995517i \(-0.469848\pi\)
−0.203052 + 0.979168i \(0.565086\pi\)
\(74\) 5.09926 6.39427i 0.592777 0.743318i
\(75\) −0.525031 + 1.25978i −0.0606254 + 0.145467i
\(76\) 7.18160 2.21523i 0.823786 0.254104i
\(77\) −10.1002 + 12.0851i −1.15103 + 1.37723i
\(78\) 4.27620 + 2.17041i 0.484184 + 0.245750i
\(79\) 0.765945 + 1.32666i 0.0861755 + 0.149260i 0.905892 0.423510i \(-0.139202\pi\)
−0.819716 + 0.572770i \(0.805869\pi\)
\(80\) −1.20291 2.08350i −0.134489 0.232943i
\(81\) 3.97536 8.07443i 0.441707 0.897159i
\(82\) 6.62897 4.51955i 0.732047 0.499101i
\(83\) −1.56631 3.99090i −0.171925 0.438058i 0.818776 0.574113i \(-0.194653\pi\)
−0.990701 + 0.136055i \(0.956558\pi\)
\(84\) −1.21456 + 4.41869i −0.132519 + 0.482119i
\(85\) −3.85431 + 9.82063i −0.418059 + 1.06520i
\(86\) −1.04109 4.56131i −0.112264 0.491859i
\(87\) −15.6359 0.326451i −1.67634 0.0349993i
\(88\) 5.36344 + 2.58290i 0.571745 + 0.275338i
\(89\) 0.879828 + 2.24176i 0.0932616 + 0.237627i 0.969891 0.243540i \(-0.0783086\pi\)
−0.876629 + 0.481166i \(0.840213\pi\)
\(90\) −4.26057 5.82575i −0.449103 0.614087i
\(91\) −7.21640 1.25784i −0.756484 0.131857i
\(92\) 0.137981 0.0940736i 0.0143855 0.00980785i
\(93\) −1.43574 + 5.73572i −0.148879 + 0.594767i
\(94\) 4.23569 + 3.93014i 0.436878 + 0.405363i
\(95\) 1.35119 18.0304i 0.138629 1.84988i
\(96\) 1.73167 + 0.0361545i 0.176738 + 0.00369001i
\(97\) −2.57345 + 4.45735i −0.261295 + 0.452576i −0.966586 0.256342i \(-0.917483\pi\)
0.705292 + 0.708917i \(0.250816\pi\)
\(98\) −0.202004 6.99708i −0.0204055 0.706812i
\(99\) 16.8309 + 5.97171i 1.69157 + 0.600180i
\(100\) −0.779171 + 0.117441i −0.0779171 + 0.0117441i
\(101\) −3.47129 + 1.67169i −0.345406 + 0.166339i −0.598541 0.801092i \(-0.704253\pi\)
0.253135 + 0.967431i \(0.418538\pi\)
\(102\) −4.61062 6.03581i −0.456519 0.597635i
\(103\) −6.76959 + 3.26006i −0.667027 + 0.321223i −0.736576 0.676355i \(-0.763558\pi\)
0.0695484 + 0.997579i \(0.477844\pi\)
\(104\) 0.206903 + 2.76092i 0.0202885 + 0.270731i
\(105\) 8.82820 + 6.60381i 0.861544 + 0.644466i
\(106\) −0.182373 + 2.43360i −0.0177136 + 0.236372i
\(107\) 5.77184 + 14.7064i 0.557985 + 1.42172i 0.879993 + 0.474986i \(0.157547\pi\)
−0.322008 + 0.946737i \(0.604358\pi\)
\(108\) 5.17651 0.451359i 0.498110 0.0434320i
\(109\) 1.83524 4.67613i 0.175785 0.447892i −0.815642 0.578557i \(-0.803616\pi\)
0.991427 + 0.130665i \(0.0417113\pi\)
\(110\) 10.4986 9.74129i 1.00100 0.928796i
\(111\) 14.1626 + 0.295692i 1.34426 + 0.0280659i
\(112\) −2.54545 + 0.721578i −0.240523 + 0.0681827i
\(113\) 0.725091 + 0.109290i 0.0682108 + 0.0102811i 0.183059 0.983102i \(-0.441400\pi\)
−0.114848 + 0.993383i \(0.536638\pi\)
\(114\) 10.5999 + 7.55576i 0.992773 + 0.707662i
\(115\) −0.0894019 0.391695i −0.00833677 0.0365258i
\(116\) −4.51467 7.81964i −0.419177 0.726035i
\(117\) 1.50866 + 8.16783i 0.139476 + 0.755117i
\(118\) −0.242350 1.06181i −0.0223101 0.0977471i
\(119\) 9.43342 + 6.75410i 0.864760 + 0.619147i
\(120\) 1.60301 3.84633i 0.146335 0.351120i
\(121\) −5.43795 + 23.8252i −0.494359 + 2.16593i
\(122\) −1.66251 4.23600i −0.150516 0.383510i
\(123\) 13.1906 + 4.37231i 1.18936 + 0.394238i
\(124\) −3.26203 + 1.00620i −0.292939 + 0.0903597i
\(125\) 2.25489 9.87932i 0.201683 0.883633i
\(126\) −7.35898 + 2.97413i −0.655590 + 0.264957i
\(127\) −4.45137 19.5027i −0.394995 1.73059i −0.646665 0.762774i \(-0.723837\pi\)
0.251669 0.967813i \(-0.419020\pi\)
\(128\) 0.500000 + 0.866025i 0.0441942 + 0.0765466i
\(129\) 5.18366 6.22880i 0.456396 0.548415i
\(130\) 6.36499 + 1.96334i 0.558246 + 0.172196i
\(131\) 14.5390 + 7.00160i 1.27028 + 0.611733i 0.942873 0.333152i \(-0.108112\pi\)
0.327403 + 0.944885i \(0.393826\pi\)
\(132\) 2.08405 + 10.0980i 0.181393 + 0.878922i
\(133\) −18.8611 6.29579i −1.63546 0.545914i
\(134\) 9.10912 + 11.4225i 0.786908 + 0.986752i
\(135\) 3.53904 11.9896i 0.304592 1.03190i
\(136\) 1.60208 4.08203i 0.137377 0.350031i
\(137\) −11.4547 5.51628i −0.978638 0.471287i −0.125002 0.992157i \(-0.539894\pi\)
−0.853636 + 0.520869i \(0.825608\pi\)
\(138\) 0.274559 + 0.0910088i 0.0233721 + 0.00774719i
\(139\) 7.04027 + 4.79997i 0.597148 + 0.407128i 0.823827 0.566841i \(-0.191835\pi\)
−0.226680 + 0.973969i \(0.572787\pi\)
\(140\) −0.621328 + 6.33481i −0.0525118 + 0.535389i
\(141\) −0.956062 + 9.96229i −0.0805150 + 0.838976i
\(142\) −8.66254 5.90602i −0.726944 0.495622i
\(143\) −15.7496 + 4.85809i −1.31704 + 0.406254i
\(144\) 1.77094 + 2.42152i 0.147578 + 0.201793i
\(145\) −21.4803 + 3.23764i −1.78385 + 0.268871i
\(146\) 0.468609 0.811655i 0.0387824 0.0671730i
\(147\) 9.41853 7.63487i 0.776827 0.629714i
\(148\) 4.08929 + 7.08285i 0.336137 + 0.582207i
\(149\) −14.1700 17.7686i −1.16085 1.45566i −0.865950 0.500131i \(-0.833285\pi\)
−0.294900 0.955528i \(-0.595286\pi\)
\(150\) −0.980880 0.948987i −0.0800885 0.0774845i
\(151\) −1.07250 + 4.69894i −0.0872791 + 0.382395i −0.999635 0.0270025i \(-0.991404\pi\)
0.912356 + 0.409397i \(0.134261\pi\)
\(152\) −0.561633 + 7.49448i −0.0455545 + 0.607882i
\(153\) 3.46014 12.6923i 0.279736 1.02611i
\(154\) −7.55970 13.8172i −0.609178 1.11343i
\(155\) −0.613738 + 8.18977i −0.0492966 + 0.657818i
\(156\) −3.58265 + 3.18766i −0.286841 + 0.255217i
\(157\) 17.4096 11.8697i 1.38944 0.947305i 0.389790 0.920904i \(-0.372548\pi\)
0.999651 0.0264008i \(-0.00840462\pi\)
\(158\) −1.51478 + 0.228316i −0.120509 + 0.0181639i
\(159\) −3.54140 + 2.30770i −0.280851 + 0.183012i
\(160\) 2.37895 0.358569i 0.188072 0.0283474i
\(161\) −0.441720 0.0101477i −0.0348124 0.000799749i
\(162\) 6.06392 + 6.65048i 0.476426 + 0.522511i
\(163\) −4.92218 + 3.35589i −0.385535 + 0.262853i −0.740542 0.672010i \(-0.765431\pi\)
0.355007 + 0.934864i \(0.384479\pi\)
\(164\) 1.78530 + 7.82191i 0.139409 + 0.610789i
\(165\) 24.4465 + 4.20836i 1.90316 + 0.327620i
\(166\) 4.28726 0.332756
\(167\) 14.3004 13.2689i 1.10660 1.02677i 0.107129 0.994245i \(-0.465834\pi\)
0.999471 0.0325296i \(-0.0103563\pi\)
\(168\) −3.66952 2.74493i −0.283109 0.211776i
\(169\) 3.91046 + 3.62838i 0.300805 + 0.279106i
\(170\) −7.73363 7.17576i −0.593142 0.550355i
\(171\) 0.745006 + 22.5342i 0.0569720 + 1.72323i
\(172\) 4.62636 + 0.697311i 0.352756 + 0.0531695i
\(173\) −2.74961 + 0.848143i −0.209049 + 0.0644831i −0.397511 0.917597i \(-0.630126\pi\)
0.188462 + 0.982080i \(0.439650\pi\)
\(174\) 6.01631 14.4358i 0.456095 1.09437i
\(175\) 1.85705 + 0.947453i 0.140380 + 0.0716207i
\(176\) −4.36384 + 4.04905i −0.328937 + 0.305209i
\(177\) 1.20668 1.44997i 0.0906995 0.108987i
\(178\) −2.40824 −0.180505
\(179\) 5.79710 5.37892i 0.433295 0.402039i −0.433142 0.901326i \(-0.642595\pi\)
0.866437 + 0.499287i \(0.166405\pi\)
\(180\) 6.97959 1.83767i 0.520228 0.136972i
\(181\) −16.0951 + 20.1826i −1.19634 + 1.50016i −0.377623 + 0.925959i \(0.623259\pi\)
−0.818715 + 0.574201i \(0.805313\pi\)
\(182\) 3.80733 6.25802i 0.282218 0.463875i
\(183\) 4.08253 6.74210i 0.301789 0.498390i
\(184\) 0.0371607 + 0.162812i 0.00273952 + 0.0120026i
\(185\) 19.4564 2.93258i 1.43046 0.215608i
\(186\) −4.81470 3.43198i −0.353031 0.251645i
\(187\) 25.8132 + 3.89071i 1.88765 + 0.284517i
\(188\) −5.20594 + 2.50705i −0.379682 + 0.182845i
\(189\) −11.8310 7.00199i −0.860577 0.509320i
\(190\) 16.2903 + 7.84502i 1.18183 + 0.569137i
\(191\) 3.61436 + 2.46423i 0.261526 + 0.178305i 0.686984 0.726673i \(-0.258934\pi\)
−0.425458 + 0.904978i \(0.639887\pi\)
\(192\) −0.666307 + 1.59876i −0.0480865 + 0.115381i
\(193\) −0.607715 + 8.10939i −0.0437443 + 0.583727i 0.931664 + 0.363321i \(0.118357\pi\)
−0.975408 + 0.220406i \(0.929262\pi\)
\(194\) −3.20905 4.02402i −0.230396 0.288907i
\(195\) 3.98986 + 10.8252i 0.285720 + 0.775206i
\(196\) 6.58720 + 2.36828i 0.470514 + 0.169163i
\(197\) −11.5382 −0.822062 −0.411031 0.911621i \(-0.634831\pi\)
−0.411031 + 0.911621i \(0.634831\pi\)
\(198\) −11.7079 + 13.4857i −0.832047 + 0.958390i
\(199\) 10.7766 + 7.34736i 0.763933 + 0.520840i 0.881477 0.472227i \(-0.156550\pi\)
−0.117544 + 0.993068i \(0.537502\pi\)
\(200\) 0.175340 0.768216i 0.0123984 0.0543211i
\(201\) −6.14465 + 24.5477i −0.433411 + 1.73146i
\(202\) −0.287923 3.84207i −0.0202582 0.270327i
\(203\) −2.33192 + 23.7753i −0.163669 + 1.66870i
\(204\) 7.30303 2.08677i 0.511314 0.146103i
\(205\) 19.0865 + 2.87682i 1.33306 + 0.200926i
\(206\) −0.561498 7.49267i −0.0391214 0.522039i
\(207\) 0.163409 + 0.473597i 0.0113577 + 0.0329173i
\(208\) −2.64566 0.816078i −0.183444 0.0565849i
\(209\) −44.2398 + 6.66808i −3.06013 + 0.461241i
\(210\) −9.37262 + 5.80530i −0.646772 + 0.400603i
\(211\) 10.0267 + 1.51128i 0.690264 + 0.104041i 0.484801 0.874624i \(-0.338892\pi\)
0.205463 + 0.978665i \(0.434130\pi\)
\(212\) −2.19875 1.05886i −0.151010 0.0727228i
\(213\) −0.978759 18.1329i −0.0670634 1.24245i
\(214\) −15.7985 −1.07996
\(215\) 5.62795 9.74790i 0.383823 0.664801i
\(216\) −1.47103 + 4.98358i −0.100091 + 0.339090i
\(217\) 8.56710 + 2.85968i 0.581573 + 0.194128i
\(218\) 3.68239 + 3.41676i 0.249403 + 0.231412i
\(219\) 1.60988 0.208383i 0.108786 0.0140812i
\(220\) 5.23234 + 13.3318i 0.352764 + 0.898828i
\(221\) 4.43562 + 11.3018i 0.298372 + 0.760239i
\(222\) −5.44944 + 13.0756i −0.365742 + 0.877576i
\(223\) 0.501573 + 0.465392i 0.0335878 + 0.0311649i 0.696788 0.717277i \(-0.254612\pi\)
−0.663200 + 0.748442i \(0.730802\pi\)
\(224\) 0.258260 2.63312i 0.0172557 0.175932i
\(225\) 0.274892 2.34788i 0.0183262 0.156525i
\(226\) −0.366640 + 0.635040i −0.0243886 + 0.0422422i
\(227\) −4.02315 −0.267026 −0.133513 0.991047i \(-0.542626\pi\)
−0.133513 + 0.991047i \(0.542626\pi\)
\(228\) −10.9060 + 7.10675i −0.722271 + 0.470656i
\(229\) 1.67317 + 0.805757i 0.110566 + 0.0532459i 0.488349 0.872648i \(-0.337599\pi\)
−0.377783 + 0.925894i \(0.623313\pi\)
\(230\) 0.397281 + 0.0598805i 0.0261959 + 0.00394840i
\(231\) 11.0699 24.9330i 0.728349 1.64047i
\(232\) 8.92849 1.34575i 0.586184 0.0883530i
\(233\) −10.4008 3.20822i −0.681380 0.210178i −0.0653047 0.997865i \(-0.520802\pi\)
−0.616075 + 0.787688i \(0.711278\pi\)
\(234\) −8.15440 1.57967i −0.533070 0.103266i
\(235\) 1.03884 + 13.8623i 0.0677663 + 0.904279i
\(236\) 1.07695 + 0.162324i 0.0701033 + 0.0105664i
\(237\) −1.90692 1.84492i −0.123868 0.119840i
\(238\) −9.73363 + 6.31377i −0.630938 + 0.409261i
\(239\) 0.925163 + 12.3454i 0.0598439 + 0.798561i 0.943700 + 0.330802i \(0.107319\pi\)
−0.883856 + 0.467759i \(0.845062\pi\)
\(240\) 2.99480 + 2.89743i 0.193314 + 0.187028i
\(241\) −2.12785 + 9.32270i −0.137067 + 0.600528i 0.859004 + 0.511968i \(0.171083\pi\)
−0.996071 + 0.0885595i \(0.971774\pi\)
\(242\) −20.1915 13.7664i −1.29796 0.884935i
\(243\) −2.77816 + 15.3389i −0.178219 + 0.983991i
\(244\) 4.55057 0.291320
\(245\) 11.0936 12.6706i 0.708744 0.809492i
\(246\) −8.88914 + 10.6814i −0.566751 + 0.681020i
\(247\) −12.9735 16.2683i −0.825484 1.03512i
\(248\) 0.255106 3.40415i 0.0161992 0.216164i
\(249\) 4.50768 + 5.90106i 0.285663 + 0.373965i
\(250\) 8.37259 + 5.70834i 0.529529 + 0.361027i
\(251\) −9.45463 4.55311i −0.596771 0.287390i 0.111013 0.993819i \(-0.464591\pi\)
−0.707784 + 0.706429i \(0.750305\pi\)
\(252\) −0.0800069 7.93685i −0.00503996 0.499975i
\(253\) −0.895687 + 0.431340i −0.0563114 + 0.0271181i
\(254\) 19.7808 + 2.98148i 1.24116 + 0.187075i
\(255\) 1.74560 18.1894i 0.109314 1.13906i
\(256\) −0.988831 + 0.149042i −0.0618019 + 0.00931514i
\(257\) 1.97299 + 8.64421i 0.123071 + 0.539211i 0.998444 + 0.0557624i \(0.0177589\pi\)
−0.875373 + 0.483449i \(0.839384\pi\)
\(258\) 3.90442 + 7.10097i 0.243079 + 0.442087i
\(259\) 2.11220 21.5351i 0.131246 1.33813i
\(260\) −4.15301 + 5.20771i −0.257559 + 0.322968i
\(261\) 26.1953 6.89699i 1.62145 0.426913i
\(262\) −11.8293 + 10.9760i −0.730816 + 0.678098i
\(263\) −10.4901 −0.646849 −0.323424 0.946254i \(-0.604834\pi\)
−0.323424 + 0.946254i \(0.604834\pi\)
\(264\) −10.1614 1.74924i −0.625390 0.107658i
\(265\) −4.30391 + 3.99345i −0.264387 + 0.245315i
\(266\) 12.7513 15.2572i 0.781834 0.935479i
\(267\) −2.53205 3.31474i −0.154959 0.202859i
\(268\) −13.9608 + 4.30634i −0.852793 + 0.263052i
\(269\) 10.8072 + 1.62892i 0.658926 + 0.0993171i 0.469989 0.882672i \(-0.344258\pi\)
0.188937 + 0.981989i \(0.439496\pi\)
\(270\) 9.86784 + 7.67469i 0.600538 + 0.467067i
\(271\) 6.32481 + 5.86857i 0.384205 + 0.356490i 0.848505 0.529188i \(-0.177503\pi\)
−0.464300 + 0.885678i \(0.653694\pi\)
\(272\) 3.21455 + 2.98267i 0.194911 + 0.180851i
\(273\) 12.6167 1.33928i 0.763599 0.0810571i
\(274\) 9.31981 8.64752i 0.563031 0.522416i
\(275\) 4.69078 0.282865
\(276\) −0.185026 + 0.222331i −0.0111372 + 0.0133828i
\(277\) −0.551872 2.41791i −0.0331588 0.145278i 0.955639 0.294542i \(-0.0951669\pi\)
−0.988797 + 0.149263i \(0.952310\pi\)
\(278\) −7.04027 + 4.79997i −0.422247 + 0.287883i
\(279\) −0.338397 10.2355i −0.0202593 0.612782i
\(280\) −5.66991 2.89274i −0.338842 0.172874i
\(281\) 24.0600 3.62646i 1.43530 0.216336i 0.615114 0.788438i \(-0.289110\pi\)
0.820183 + 0.572102i \(0.193872\pi\)
\(282\) −8.92434 4.52961i −0.531437 0.269734i
\(283\) 2.35002 0.354209i 0.139694 0.0210555i −0.0788229 0.996889i \(-0.525116\pi\)
0.218517 + 0.975833i \(0.429878\pi\)
\(284\) 8.66254 5.90602i 0.514027 0.350458i
\(285\) 6.32987 + 30.6707i 0.374949 + 1.81678i
\(286\) 1.23169 16.4357i 0.0728311 0.971864i
\(287\) 8.20688 19.5764i 0.484437 1.15556i
\(288\) −2.90113 + 0.763842i −0.170951 + 0.0450098i
\(289\) 0.166619 2.22338i 0.00980114 0.130787i
\(290\) 4.83382 21.1783i 0.283851 1.24363i
\(291\) 2.16470 8.64790i 0.126897 0.506949i
\(292\) 0.584346 + 0.732747i 0.0341963 + 0.0428808i
\(293\) −12.0979 20.9542i −0.706768 1.22416i −0.966050 0.258356i \(-0.916819\pi\)
0.259282 0.965802i \(-0.416514\pi\)
\(294\) 3.66613 + 11.5568i 0.213813 + 0.674006i
\(295\) 1.31010 2.26917i 0.0762772 0.132116i
\(296\) −8.08723 + 1.21895i −0.470061 + 0.0708502i
\(297\) −30.8719 1.93592i −1.79137 0.112333i
\(298\) 21.7172 6.69886i 1.25804 0.388055i
\(299\) −0.382022 0.260458i −0.0220929 0.0150627i
\(300\) 1.24174 0.566372i 0.0716920 0.0326995i
\(301\) −8.87828 8.62567i −0.511736 0.497175i
\(302\) −3.98229 2.71508i −0.229155 0.156235i
\(303\) 4.98557 4.43591i 0.286413 0.254836i
\(304\) −6.77122 3.26085i −0.388356 0.187023i
\(305\) 3.99970 10.1911i 0.229022 0.583539i
\(306\) 10.5508 + 7.85796i 0.603148 + 0.449210i
\(307\) −7.50836 9.41519i −0.428525 0.537353i 0.519954 0.854194i \(-0.325949\pi\)
−0.948479 + 0.316841i \(0.897378\pi\)
\(308\) 15.6240 1.98912i 0.890259 0.113340i
\(309\) 9.72268 8.65075i 0.553104 0.492124i
\(310\) −7.39941 3.56337i −0.420258 0.202386i
\(311\) −23.2976 7.18635i −1.32108 0.407501i −0.447548 0.894260i \(-0.647703\pi\)
−0.873536 + 0.486759i \(0.838179\pi\)
\(312\) −1.65842 4.49957i −0.0938895 0.254738i
\(313\) 2.35671 + 4.08194i 0.133209 + 0.230725i 0.924912 0.380182i \(-0.124138\pi\)
−0.791703 + 0.610906i \(0.790805\pi\)
\(314\) 4.68873 + 20.5427i 0.264600 + 1.15929i
\(315\) −17.8450 6.79688i −1.00545 0.382961i
\(316\) 0.340878 1.49348i 0.0191759 0.0840149i
\(317\) 2.36570 0.729722i 0.132871 0.0409853i −0.227606 0.973753i \(-0.573090\pi\)
0.360477 + 0.932768i \(0.382614\pi\)
\(318\) −0.854357 4.13970i −0.0479100 0.232143i
\(319\) 19.6376 + 50.0358i 1.09949 + 2.80147i
\(320\) −0.535345 + 2.34550i −0.0299267 + 0.131118i
\(321\) −16.6108 21.7454i −0.927123 1.21371i
\(322\) 0.170825 0.407478i 0.00951969 0.0227079i
\(323\) 7.33354 + 32.1303i 0.408049 + 1.78778i
\(324\) −8.40616 + 3.21505i −0.467009 + 0.178614i
\(325\) 1.09082 + 1.88935i 0.0605076 + 0.104802i
\(326\) −1.32563 5.80798i −0.0734200 0.321674i
\(327\) −0.831175 + 8.66094i −0.0459641 + 0.478951i
\(328\) −7.93346 1.19578i −0.438052 0.0660257i
\(329\) 15.0605 + 2.62508i 0.830312 + 0.144725i
\(330\) −12.8488 + 21.2191i −0.707301 + 1.16807i
\(331\) 24.5049 22.7372i 1.34691 1.24975i 0.404816 0.914398i \(-0.367335\pi\)
0.942093 0.335351i \(-0.108855\pi\)
\(332\) −1.56631 + 3.99090i −0.0859625 + 0.219029i
\(333\) −23.7271 + 6.24714i −1.30024 + 0.342341i
\(334\) 7.12710 + 18.1595i 0.389977 + 0.993646i
\(335\) −2.62667 + 35.0505i −0.143510 + 1.91501i
\(336\) 3.89581 2.41302i 0.212534 0.131641i
\(337\) −0.785022 10.4754i −0.0427629 0.570631i −0.976897 0.213710i \(-0.931445\pi\)
0.934134 0.356922i \(-0.116174\pi\)
\(338\) −4.80621 + 2.31455i −0.261423 + 0.125895i
\(339\) −1.25957 + 0.163039i −0.0684105 + 0.00885506i
\(340\) 9.50514 4.57743i 0.515488 0.248246i
\(341\) 20.0946 3.02878i 1.08819 0.164018i
\(342\) −21.2486 7.53915i −1.14899 0.407670i
\(343\) −10.5228 15.2404i −0.568179 0.822905i
\(344\) −2.33931 + 4.05180i −0.126127 + 0.218458i
\(345\) 0.335286 + 0.609784i 0.0180512 + 0.0328297i
\(346\) 0.215032 2.86940i 0.0115602 0.154260i
\(347\) 11.1748 + 10.3687i 0.599896 + 0.556622i 0.920575 0.390566i \(-0.127721\pi\)
−0.320679 + 0.947188i \(0.603911\pi\)
\(348\) 11.2399 + 10.8744i 0.602520 + 0.582929i
\(349\) −21.9377 + 14.9569i −1.17430 + 0.800623i −0.983483 0.181003i \(-0.942066\pi\)
−0.190816 + 0.981626i \(0.561113\pi\)
\(350\) −1.56042 + 1.38254i −0.0834077 + 0.0738997i
\(351\) −6.39935 12.8848i −0.341572 0.687737i
\(352\) −2.17487 5.54147i −0.115921 0.295361i
\(353\) 25.0834 + 12.0795i 1.33505 + 0.642927i 0.958930 0.283642i \(-0.0915429\pi\)
0.376123 + 0.926570i \(0.377257\pi\)
\(354\) 0.908892 + 1.65300i 0.0483071 + 0.0878559i
\(355\) −5.61272 24.5909i −0.297892 1.30515i
\(356\) 0.879828 2.24176i 0.0466308 0.118813i
\(357\) −18.9245 6.75916i −1.00159 0.357733i
\(358\) 2.88918 + 7.36150i 0.152698 + 0.389068i
\(359\) 16.2312 11.0663i 0.856652 0.584056i −0.0533887 0.998574i \(-0.517002\pi\)
0.910041 + 0.414518i \(0.136050\pi\)
\(360\) −0.839296 + 7.16850i −0.0442348 + 0.377813i
\(361\) −18.7413 32.4609i −0.986384 1.70847i
\(362\) −12.9073 22.3560i −0.678390 1.17501i
\(363\) −2.28139 42.2662i −0.119742 2.21840i
\(364\) 4.43445 + 5.83046i 0.232428 + 0.305599i
\(365\) 2.15461 0.664608i 0.112777 0.0347872i
\(366\) 4.78453 + 6.26349i 0.250091 + 0.327398i
\(367\) −3.47973 + 4.36344i −0.181640 + 0.227770i −0.864313 0.502955i \(-0.832246\pi\)
0.682672 + 0.730725i \(0.260818\pi\)
\(368\) −0.165133 0.0248898i −0.00860817 0.00129747i
\(369\) −24.0482 1.00461i −1.25190 0.0522981i
\(370\) −4.37836 + 19.1829i −0.227620 + 0.997269i
\(371\) 3.09910 + 5.66439i 0.160897 + 0.294080i
\(372\) 4.95375 3.22804i 0.256840 0.167366i
\(373\) −26.3710 −1.36544 −0.682719 0.730681i \(-0.739203\pi\)
−0.682719 + 0.730681i \(0.739203\pi\)
\(374\) −13.0524 + 22.6074i −0.674922 + 1.16900i
\(375\) 0.945999 + 17.5260i 0.0488512 + 0.905040i
\(376\) −0.431802 5.76200i −0.0222685 0.297152i
\(377\) −15.5868 + 19.5452i −0.802759 + 1.00663i
\(378\) 10.8403 8.45504i 0.557565 0.434880i
\(379\) 2.48800 + 3.11986i 0.127800 + 0.160256i 0.841615 0.540078i \(-0.181605\pi\)
−0.713814 + 0.700335i \(0.753034\pi\)
\(380\) −13.2543 + 12.2981i −0.679929 + 0.630882i
\(381\) 16.6941 + 30.3615i 0.855264 + 1.55547i
\(382\) −3.61436 + 2.46423i −0.184927 + 0.126081i
\(383\) −17.4945 + 21.9374i −0.893928 + 1.12095i 0.0981306 + 0.995174i \(0.468714\pi\)
−0.992059 + 0.125777i \(0.959858\pi\)
\(384\) −1.24482 1.20434i −0.0635242 0.0614587i
\(385\) 9.27796 36.7385i 0.472849 1.87237i
\(386\) −7.32680 3.52840i −0.372924 0.179591i
\(387\) −5.66874 + 12.8402i −0.288158 + 0.652703i
\(388\) 4.91825 1.51708i 0.249686 0.0770180i
\(389\) 18.7677 9.03804i 0.951559 0.458247i 0.107327 0.994224i \(-0.465771\pi\)
0.844233 + 0.535977i \(0.180057\pi\)
\(390\) −11.5345 0.240822i −0.584073 0.0121945i
\(391\) 0.366157 + 0.634203i 0.0185174 + 0.0320730i
\(392\) −4.61115 + 5.26662i −0.232898 + 0.266005i
\(393\) −27.5450 4.74176i −1.38946 0.239190i
\(394\) 4.21538 10.7406i 0.212368 0.541104i
\(395\) −3.04506 2.07609i −0.153214 0.104459i
\(396\) −8.27614 15.8255i −0.415892 0.795262i
\(397\) 1.92120 25.6366i 0.0964223 1.28667i −0.713719 0.700432i \(-0.752991\pi\)
0.810141 0.586234i \(-0.199390\pi\)
\(398\) −10.7766 + 7.34736i −0.540182 + 0.368290i
\(399\) 34.4072 + 1.50953i 1.72251 + 0.0755710i
\(400\) 0.651053 + 0.443881i 0.0325527 + 0.0221940i
\(401\) 7.69745 9.65230i 0.384392 0.482013i −0.551562 0.834134i \(-0.685968\pi\)
0.935954 + 0.352121i \(0.114539\pi\)
\(402\) −20.6059 14.6882i −1.02773 0.732580i
\(403\) 5.89283 + 7.38938i 0.293543 + 0.368091i
\(404\) 3.68167 + 1.13565i 0.183170 + 0.0565005i
\(405\) −0.188406 + 21.6516i −0.00936199 + 1.07587i
\(406\) −21.2799 10.8568i −1.05610 0.538815i
\(407\) −17.7873 45.3213i −0.881684 2.24649i
\(408\) −0.725575 + 7.56058i −0.0359213 + 0.374305i
\(409\) −14.0963 4.34815i −0.697020 0.215002i −0.0740574 0.997254i \(-0.523595\pi\)
−0.622962 + 0.782252i \(0.714071\pi\)
\(410\) −9.65103 + 16.7161i −0.476630 + 0.825548i
\(411\) 21.7016 + 3.73584i 1.07046 + 0.184275i
\(412\) 7.17986 + 2.21469i 0.353726 + 0.109110i
\(413\) −2.06673 2.00793i −0.101697 0.0988036i
\(414\) −0.500559 0.0209108i −0.0246011 0.00102771i
\(415\) 7.56097 + 7.01556i 0.371154 + 0.344380i
\(416\) 1.72623 2.16463i 0.0846356 0.106130i
\(417\) −14.0090 4.64360i −0.686024 0.227398i
\(418\) 9.95548 43.6178i 0.486938 2.13342i
\(419\) 11.7874 3.63592i 0.575850 0.177626i 0.00686832 0.999976i \(-0.497814\pi\)
0.568982 + 0.822350i \(0.307338\pi\)
\(420\) −1.97980 10.8456i −0.0966041 0.529213i
\(421\) −18.2006 5.61413i −0.887041 0.273616i −0.182438 0.983217i \(-0.558399\pi\)
−0.704603 + 0.709602i \(0.748875\pi\)
\(422\) −5.06996 + 8.78143i −0.246802 + 0.427473i
\(423\) −3.14854 17.0461i −0.153087 0.828811i
\(424\) 1.78896 1.65991i 0.0868794 0.0806123i
\(425\) −0.258221 3.44572i −0.0125256 0.167142i
\(426\) 17.2371 + 5.71361i 0.835138 + 0.276825i
\(427\) −9.78925 7.00887i −0.473735 0.339183i
\(428\) 5.77184 14.7064i 0.278993 0.710862i
\(429\) 23.9174 15.5854i 1.15474 0.752471i
\(430\) 7.01794 + 8.80022i 0.338435 + 0.424384i
\(431\) −0.975358 13.0153i −0.0469814 0.626923i −0.970147 0.242519i \(-0.922026\pi\)
0.923165 0.384403i \(-0.125593\pi\)
\(432\) −4.10165 3.19005i −0.197341 0.153481i
\(433\) 22.2945 10.7365i 1.07141 0.515962i 0.186847 0.982389i \(-0.440173\pi\)
0.884560 + 0.466427i \(0.154459\pi\)
\(434\) −5.79192 + 6.93013i −0.278021 + 0.332657i
\(435\) 34.2326 15.6138i 1.64133 0.748626i
\(436\) −4.52590 + 2.17956i −0.216751 + 0.104382i
\(437\) −0.920036 0.853668i −0.0440113 0.0408365i
\(438\) −0.394177 + 1.57473i −0.0188345 + 0.0752433i
\(439\) 8.33837 21.2458i 0.397969 1.01401i −0.581703 0.813401i \(-0.697613\pi\)
0.979672 0.200607i \(-0.0642914\pi\)
\(440\) −14.3218 −0.682764
\(441\) −12.0524 + 17.1971i −0.573922 + 0.818910i
\(442\) −12.1410 −0.577490
\(443\) −13.8921 + 35.3965i −0.660034 + 1.68174i 0.0693113 + 0.997595i \(0.477920\pi\)
−0.729346 + 0.684145i \(0.760175\pi\)
\(444\) −10.1808 9.84979i −0.483160 0.467450i
\(445\) −4.24715 3.94078i −0.201334 0.186811i
\(446\) −0.616466 + 0.296874i −0.0291905 + 0.0140574i
\(447\) 32.0542 + 22.8487i 1.51611 + 1.08070i
\(448\) 2.35675 + 1.20239i 0.111346 + 0.0568077i
\(449\) 12.9539 6.23826i 0.611331 0.294402i −0.102485 0.994735i \(-0.532679\pi\)
0.713816 + 0.700333i \(0.246965\pi\)
\(450\) 2.08515 + 1.11367i 0.0982949 + 0.0524988i
\(451\) −3.56919 47.6276i −0.168067 2.24269i
\(452\) −0.457193 0.573302i −0.0215046 0.0269659i
\(453\) −0.449950 8.33598i −0.0211405 0.391658i
\(454\) 1.46982 3.74504i 0.0689821 0.175763i
\(455\) 16.9550 4.80637i 0.794864 0.225326i
\(456\) −2.63106 12.7485i −0.123211 0.597005i
\(457\) 1.75945 + 23.4783i 0.0823037 + 1.09827i 0.873539 + 0.486755i \(0.161819\pi\)
−0.791235 + 0.611512i \(0.790561\pi\)
\(458\) −1.36134 + 1.26313i −0.0636110 + 0.0590224i
\(459\) 0.277385 + 22.7843i 0.0129472 + 1.06348i
\(460\) −0.200884 + 0.347942i −0.00936628 + 0.0162229i
\(461\) −1.07201 0.330673i −0.0499287 0.0154010i 0.269690 0.962947i \(-0.413079\pi\)
−0.319619 + 0.947546i \(0.603555\pi\)
\(462\) 19.1651 + 19.4138i 0.891643 + 0.903210i
\(463\) −30.3372 + 9.35779i −1.40989 + 0.434893i −0.903936 0.427667i \(-0.859335\pi\)
−0.505953 + 0.862561i \(0.668859\pi\)
\(464\) −2.00922 + 8.80296i −0.0932756 + 0.408667i
\(465\) −2.87516 13.9313i −0.133332 0.646047i
\(466\) 6.78629 8.50974i 0.314369 0.394206i
\(467\) 22.2724 + 20.6657i 1.03064 + 0.956296i 0.999066 0.0432054i \(-0.0137570\pi\)
0.0315758 + 0.999501i \(0.489947\pi\)
\(468\) 4.44961 7.01359i 0.205683 0.324204i
\(469\) 36.6654 + 12.2388i 1.69305 + 0.565137i
\(470\) −13.2836 4.09745i −0.612727 0.189001i
\(471\) −23.3455 + 28.0525i −1.07570 + 1.29259i
\(472\) −0.544556 + 0.943198i −0.0250652 + 0.0434142i
\(473\) −26.6143 8.20942i −1.22373 0.377470i
\(474\) 2.41406 1.10108i 0.110881 0.0505742i
\(475\) 2.16355 + 5.51263i 0.0992704 + 0.252937i
\(476\) −2.32123 11.3675i −0.106393 0.521027i
\(477\) 4.79967 5.52849i 0.219762 0.253132i
\(478\) −11.8301 3.64909i −0.541094 0.166905i
\(479\) 12.8291 + 16.0872i 0.586175 + 0.735041i 0.983152 0.182788i \(-0.0585121\pi\)
−0.396977 + 0.917829i \(0.629941\pi\)
\(480\) −3.79126 + 1.72923i −0.173047 + 0.0789284i
\(481\) 14.1181 17.7036i 0.643732 0.807214i
\(482\) −7.90087 5.38672i −0.359875 0.245358i
\(483\) 0.740468 0.193302i 0.0336925 0.00879555i
\(484\) 20.1915 13.7664i 0.917797 0.625744i
\(485\) 0.925348 12.3479i 0.0420179 0.560690i
\(486\) −13.2636 8.19005i −0.601649 0.371508i
\(487\) 31.5104 + 21.4834i 1.42787 + 0.973506i 0.997486 + 0.0708611i \(0.0225747\pi\)
0.430385 + 0.902645i \(0.358378\pi\)
\(488\) −1.66251 + 4.23600i −0.0752582 + 0.191755i
\(489\) 6.60042 7.93121i 0.298481 0.358662i
\(490\) 7.74174 + 14.9558i 0.349736 + 0.675634i
\(491\) 3.12329 + 5.40971i 0.140952 + 0.244137i 0.927856 0.372940i \(-0.121650\pi\)
−0.786903 + 0.617076i \(0.788317\pi\)
\(492\) −6.69546 12.1770i −0.301855 0.548982i
\(493\) 35.6739 17.1797i 1.60667 0.773733i
\(494\) 19.8834 6.13323i 0.894598 0.275947i
\(495\) −42.7157 + 4.62479i −1.91993 + 0.207869i
\(496\) 3.07563 + 1.48115i 0.138100 + 0.0665054i
\(497\) −27.7315 0.637079i −1.24393 0.0285769i
\(498\) −7.13999 + 2.04018i −0.319951 + 0.0914228i
\(499\) −24.3794 + 30.5707i −1.09137 + 1.36853i −0.167480 + 0.985875i \(0.553563\pi\)
−0.923890 + 0.382659i \(0.875008\pi\)
\(500\) −8.37259 + 5.70834i −0.374434 + 0.255285i
\(501\) −17.5016 + 28.9031i −0.781914 + 1.29129i
\(502\) 7.69253 7.13763i 0.343334 0.318568i
\(503\) −7.50638 9.41271i −0.334693 0.419692i 0.585797 0.810458i \(-0.300782\pi\)
−0.920490 + 0.390766i \(0.872210\pi\)
\(504\) 7.41744 + 2.82518i 0.330399 + 0.125844i
\(505\) 5.77928 7.24699i 0.257175 0.322487i
\(506\) −0.0742920 0.991358i −0.00330268 0.0440712i
\(507\) −8.23911 4.18181i −0.365912 0.185721i
\(508\) −10.0021 + 17.3242i −0.443773 + 0.768638i
\(509\) 0.398715 0.0176727 0.00883637 0.999961i \(-0.497187\pi\)
0.00883637 + 0.999961i \(0.497187\pi\)
\(510\) 16.2943 + 8.27027i 0.721524 + 0.366214i
\(511\) −0.128464 2.47632i −0.00568293 0.109546i
\(512\) 0.222521 0.974928i 0.00983413 0.0430861i
\(513\) −11.9641 37.1738i −0.528228 1.64126i
\(514\) −8.76748 1.32149i −0.386717 0.0582882i
\(515\) 11.2705 14.1328i 0.496640 0.622766i
\(516\) −8.03655 + 1.04025i −0.353789 + 0.0457945i
\(517\) 32.8690 10.1388i 1.44558 0.445902i
\(518\) 19.2748 + 9.83386i 0.846887 + 0.432075i
\(519\) 4.17559 2.72096i 0.183288 0.119437i
\(520\) −3.33046 5.76852i −0.146050 0.252966i
\(521\) 13.9527 + 24.1667i 0.611278 + 1.05876i 0.991025 + 0.133674i \(0.0426776\pi\)
−0.379747 + 0.925090i \(0.623989\pi\)
\(522\) −3.14998 + 26.9042i −0.137871 + 1.17757i
\(523\) −30.0517 + 20.4889i −1.31407 + 0.895918i −0.998594 0.0530154i \(-0.983117\pi\)
−0.315477 + 0.948933i \(0.602164\pi\)
\(524\) −5.89553 15.0216i −0.257547 0.656220i
\(525\) −3.54359 0.694167i −0.154655 0.0302959i
\(526\) 3.83247 9.76498i 0.167104 0.425773i
\(527\) −3.33104 14.5943i −0.145103 0.635736i
\(528\) 5.34070 8.81990i 0.232424 0.383837i
\(529\) 20.6972 + 9.96723i 0.899876 + 0.433358i
\(530\) −2.14500 5.46537i −0.0931728 0.237400i
\(531\) −1.31960 + 2.98900i −0.0572657 + 0.129712i
\(532\) 9.54394 + 17.4439i 0.413782 + 0.756291i
\(533\) 18.3534 12.5131i 0.794974 0.542004i
\(534\) 4.01067 1.14601i 0.173559 0.0495928i
\(535\) −27.8621 25.8523i −1.20458 1.11769i
\(536\) 1.09180 14.5690i 0.0471585 0.629287i
\(537\) −7.09479 + 11.7167i −0.306163 + 0.505613i
\(538\) −5.46463 + 9.46501i −0.235597 + 0.408066i
\(539\) −36.6742 19.7853i −1.57967 0.852214i
\(540\) −10.7493 + 6.38183i −0.462576 + 0.274630i
\(541\) −28.0428 + 4.22677i −1.20565 + 0.181723i −0.720969 0.692967i \(-0.756303\pi\)
−0.484683 + 0.874690i \(0.661065\pi\)
\(542\) −7.77361 + 3.74357i −0.333905 + 0.160800i
\(543\) 17.2004 41.2712i 0.738139 1.77112i
\(544\) −3.95089 + 1.90265i −0.169393 + 0.0815754i
\(545\) 0.903138 + 12.0515i 0.0386862 + 0.516231i
\(546\) −3.36271 + 12.2339i −0.143911 + 0.523562i
\(547\) 1.19953 16.0066i 0.0512883 0.684395i −0.911008 0.412390i \(-0.864694\pi\)
0.962296 0.272005i \(-0.0876867\pi\)
\(548\) 4.64484 + 11.8349i 0.198418 + 0.505560i
\(549\) −3.59066 + 13.1710i −0.153246 + 0.562126i
\(550\) −1.71373 + 4.36652i −0.0730739 + 0.186189i
\(551\) −49.7448 + 46.1565i −2.11920 + 1.96633i
\(552\) −0.139365 0.253462i −0.00593175 0.0107881i
\(553\) −3.03359 + 2.68778i −0.129001 + 0.114296i
\(554\) 2.45239 + 0.369638i 0.104192 + 0.0157044i
\(555\) −31.0071 + 14.1427i −1.31618 + 0.600323i
\(556\) −1.89607 8.30723i −0.0804113 0.352305i
\(557\) 3.75505 + 6.50393i 0.159106 + 0.275580i 0.934547 0.355840i \(-0.115805\pi\)
−0.775440 + 0.631421i \(0.782472\pi\)
\(558\) 9.65157 + 3.42444i 0.408584 + 0.144968i
\(559\) −2.88243 12.6287i −0.121914 0.534139i
\(560\) 4.76423 4.22113i 0.201325 0.178375i
\(561\) −44.8406 + 5.80417i −1.89317 + 0.245052i
\(562\) −5.41432 + 23.7217i −0.228389 + 1.00064i
\(563\) 4.19675 + 10.6932i 0.176872 + 0.450663i 0.991626 0.129145i \(-0.0412231\pi\)
−0.814754 + 0.579807i \(0.803128\pi\)
\(564\) 7.47692 6.65259i 0.314835 0.280124i
\(565\) −1.68577 + 0.519990i −0.0709207 + 0.0218761i
\(566\) −0.528835 + 2.31698i −0.0222286 + 0.0973899i
\(567\) 23.0353 + 6.03106i 0.967393 + 0.253281i
\(568\) 2.33298 + 10.2214i 0.0978895 + 0.428882i
\(569\) −21.2513 36.8083i −0.890900 1.54308i −0.838798 0.544443i \(-0.816741\pi\)
−0.0521025 0.998642i \(-0.516592\pi\)
\(570\) −30.8631 5.31296i −1.29271 0.222535i
\(571\) 20.1096 + 6.20299i 0.841560 + 0.259587i 0.685420 0.728148i \(-0.259619\pi\)
0.156140 + 0.987735i \(0.450095\pi\)
\(572\) 14.8496 + 7.15118i 0.620892 + 0.299006i
\(573\) −7.19200 2.38395i −0.300450 0.0995909i
\(574\) 15.2248 + 14.7916i 0.635472 + 0.617390i
\(575\) 0.0820452 + 0.102881i 0.00342152 + 0.00429045i
\(576\) 0.348860 2.97965i 0.0145359 0.124152i
\(577\) −8.96360 + 22.8389i −0.373160 + 0.950795i 0.613747 + 0.789503i \(0.289662\pi\)
−0.986907 + 0.161293i \(0.948434\pi\)
\(578\) 2.00881 + 0.967393i 0.0835556 + 0.0402383i
\(579\) −2.84694 13.7946i −0.118315 0.573282i
\(580\) 17.9484 + 12.2370i 0.745265 + 0.508113i
\(581\) 9.51633 6.17282i 0.394804 0.256092i
\(582\) 7.25925 + 5.17449i 0.300905 + 0.214489i
\(583\) 12.0034 + 8.18379i 0.497131 + 0.338938i
\(584\) −0.895580 + 0.276250i −0.0370594 + 0.0114313i
\(585\) −11.7961 16.1295i −0.487708 0.666874i
\(586\) 23.9256 3.60620i 0.988357 0.148971i
\(587\) −7.53676 + 13.0541i −0.311076 + 0.538799i −0.978595 0.205793i \(-0.934023\pi\)
0.667520 + 0.744592i \(0.267356\pi\)
\(588\) −12.0973 0.809467i −0.498884 0.0333819i
\(589\) 12.8278 + 22.2184i 0.528560 + 0.915492i
\(590\) 1.63367 + 2.04856i 0.0672572 + 0.0843379i
\(591\) 19.2157 5.49070i 0.790427 0.225857i
\(592\) 1.81990 7.97352i 0.0747976 0.327710i
\(593\) −2.87922 + 38.4205i −0.118235 + 1.57774i 0.550883 + 0.834583i \(0.314291\pi\)
−0.669118 + 0.743156i \(0.733328\pi\)
\(594\) 13.0809 28.0306i 0.536715 1.15011i
\(595\) −27.4978 4.79294i −1.12730 0.196491i
\(596\) −1.69838 + 22.6633i −0.0695684 + 0.928326i
\(597\) −21.4437 7.10799i −0.877632 0.290911i
\(598\) 0.382022 0.260458i 0.0156221 0.0106509i
\(599\) −22.1359 + 3.33645i −0.904448 + 0.136324i −0.584767 0.811202i \(-0.698814\pi\)
−0.319681 + 0.947525i \(0.603576\pi\)
\(600\) 0.0735609 + 1.36282i 0.00300311 + 0.0556371i
\(601\) 8.03435 1.21098i 0.327728 0.0493970i 0.0168824 0.999857i \(-0.494626\pi\)
0.310846 + 0.950460i \(0.399388\pi\)
\(602\) 11.2730 5.11325i 0.459453 0.208400i
\(603\) −1.44827 43.8058i −0.0589781 1.78391i
\(604\) 3.98229 2.71508i 0.162037 0.110475i
\(605\) −13.0827 57.3191i −0.531888 2.33035i
\(606\) 2.30784 + 6.26155i 0.0937495 + 0.254358i
\(607\) 32.1582 1.30526 0.652632 0.757675i \(-0.273665\pi\)
0.652632 + 0.757675i \(0.273665\pi\)
\(608\) 5.50924 5.11183i 0.223429 0.207312i
\(609\) −7.43042 40.7050i −0.301096 1.64945i
\(610\) 8.02534 + 7.44643i 0.324936 + 0.301497i
\(611\) 11.7272 + 10.8813i 0.474432 + 0.440208i
\(612\) −11.1694 + 6.95061i −0.451496 + 0.280962i
\(613\) 7.37782 + 1.11203i 0.297987 + 0.0449144i 0.296334 0.955084i \(-0.404236\pi\)
0.00165297 + 0.999999i \(0.499474\pi\)
\(614\) 11.5075 3.54958i 0.464403 0.143249i
\(615\) −33.1555 + 4.29166i −1.33696 + 0.173056i
\(616\) −3.85646 + 15.2707i −0.155381 + 0.615272i
\(617\) −15.8362 + 14.6938i −0.637541 + 0.591552i −0.931267 0.364338i \(-0.881295\pi\)
0.293726 + 0.955890i \(0.405105\pi\)
\(618\) 4.50066 + 12.2111i 0.181043 + 0.491201i
\(619\) −26.6868 −1.07263 −0.536317 0.844017i \(-0.680185\pi\)
−0.536317 + 0.844017i \(0.680185\pi\)
\(620\) 6.02036 5.58608i 0.241783 0.224342i
\(621\) −0.497513 0.710965i −0.0199645 0.0285300i
\(622\) 15.2011 19.0616i 0.609510 0.764302i
\(623\) −5.34551 + 3.46739i −0.214163 + 0.138918i
\(624\) 4.79442 + 0.100100i 0.191931 + 0.00400720i
\(625\) 6.30156 + 27.6089i 0.252062 + 1.10436i
\(626\) −4.66077 + 0.702498i −0.186282 + 0.0280775i
\(627\) 70.5037 32.1575i 2.81565 1.28425i
\(628\) −20.8356 3.14046i −0.831432 0.125318i
\(629\) −32.3127 + 15.5610i −1.28839 + 0.620456i
\(630\) 12.8466 14.1283i 0.511819 0.562884i
\(631\) −0.134199 0.0646267i −0.00534237 0.00257275i 0.431211 0.902251i \(-0.358087\pi\)
−0.436553 + 0.899679i \(0.643801\pi\)
\(632\) 1.26571 + 0.862944i 0.0503471 + 0.0343261i
\(633\) −17.4175 + 2.25453i −0.692285 + 0.0896094i
\(634\) −0.185008 + 2.46877i −0.00734762 + 0.0980472i
\(635\) 30.0065 + 37.6270i 1.19077 + 1.49318i
\(636\) 4.16567 + 0.717102i 0.165179 + 0.0284349i
\(637\) −0.559281 19.3726i −0.0221595 0.767570i
\(638\) −53.7514 −2.12804
\(639\) 10.2590 + 29.7328i 0.405839 + 1.17621i
\(640\) −1.98778 1.35525i −0.0785740 0.0535708i
\(641\) −7.42345 + 32.5242i −0.293208 + 1.28463i 0.586823 + 0.809715i \(0.300378\pi\)
−0.880032 + 0.474915i \(0.842479\pi\)
\(642\) 26.3108 7.51806i 1.03840 0.296714i
\(643\) −1.70014 22.6868i −0.0670469 0.894679i −0.924760 0.380550i \(-0.875735\pi\)
0.857713 0.514128i \(-0.171885\pi\)
\(644\) 0.316902 + 0.307885i 0.0124877 + 0.0121324i
\(645\) −4.73403 + 18.9123i −0.186402 + 0.744671i
\(646\) −32.5885 4.91193i −1.28218 0.193257i
\(647\) 1.14421 + 15.2684i 0.0449835 + 0.600264i 0.973458 + 0.228867i \(0.0735020\pi\)
−0.928474 + 0.371397i \(0.878879\pi\)
\(648\) 0.0783128 8.99966i 0.00307642 0.353540i
\(649\) −6.19541 1.91103i −0.243191 0.0750145i
\(650\) −2.15726 + 0.325155i −0.0846149 + 0.0127536i
\(651\) −15.6285 0.685660i −0.612528 0.0268731i
\(652\) 5.89080 + 0.887895i 0.230702 + 0.0347727i
\(653\) 39.4068 + 18.9773i 1.54211 + 0.742641i 0.995501 0.0947480i \(-0.0302045\pi\)
0.546608 + 0.837389i \(0.315919\pi\)
\(654\) −7.75858 3.93792i −0.303385 0.153985i
\(655\) −38.8228 −1.51693
\(656\) 4.01153 6.94818i 0.156624 0.271281i
\(657\) −2.58192 + 1.11314i −0.100730 + 0.0434276i
\(658\) −7.94583 + 13.0604i −0.309761 + 0.509146i
\(659\) 29.6234 + 27.4865i 1.15396 + 1.07072i 0.996534 + 0.0831900i \(0.0265108\pi\)
0.157428 + 0.987530i \(0.449680\pi\)
\(660\) −15.0581 19.7128i −0.586137 0.767319i
\(661\) 5.81531 + 14.8172i 0.226189 + 0.576321i 0.998244 0.0592351i \(-0.0188662\pi\)
−0.772055 + 0.635556i \(0.780771\pi\)
\(662\) 12.2128 + 31.1178i 0.474665 + 1.20943i
\(663\) −12.7653 16.7111i −0.495761 0.649007i
\(664\) −3.14278 2.91608i −0.121964 0.113166i
\(665\) 47.4546 6.04153i 1.84021 0.234280i
\(666\) 2.85318 24.3693i 0.110559 0.944290i
\(667\) −0.753943 + 1.30587i −0.0291928 + 0.0505634i
\(668\) −19.5081 −0.754790
\(669\) −1.05678 0.536377i −0.0408576 0.0207375i
\(670\) −31.6680 15.2505i −1.22344 0.589178i
\(671\) −26.7868 4.03747i −1.03409 0.155865i
\(672\) 0.822919 + 4.50808i 0.0317448 + 0.173903i
\(673\) 28.9929 4.36997i 1.11759 0.168450i 0.435834 0.900027i \(-0.356453\pi\)
0.681759 + 0.731577i \(0.261215\pi\)
\(674\) 10.0381 + 3.09633i 0.386652 + 0.119266i
\(675\) 0.659484 + 4.04096i 0.0253835 + 0.155537i
\(676\) −0.398647 5.31958i −0.0153326 0.204599i
\(677\) 23.4923 + 3.54089i 0.902881 + 0.136087i 0.584044 0.811722i \(-0.301470\pi\)
0.318837 + 0.947810i \(0.396708\pi\)
\(678\) 0.308404 1.23207i 0.0118442 0.0473172i
\(679\) −12.9168 4.31161i −0.495703 0.165464i
\(680\) 0.788395 + 10.5204i 0.0302336 + 0.403439i
\(681\) 6.70013 1.91450i 0.256750 0.0733638i
\(682\) −4.52199 + 19.8121i −0.173156 + 0.758645i
\(683\) 0.388186 + 0.264661i 0.0148535 + 0.0101270i 0.570724 0.821142i \(-0.306663\pi\)
−0.555871 + 0.831269i \(0.687615\pi\)
\(684\) 14.7810 17.0254i 0.565165 0.650984i
\(685\) 30.5869 1.16867
\(686\) 18.0313 4.22747i 0.688439 0.161406i
\(687\) −3.16993 0.545690i −0.120940 0.0208194i
\(688\) −2.91707 3.65789i −0.111212 0.139456i
\(689\) −0.504930 + 6.73782i −0.0192363 + 0.256691i
\(690\) −0.690126 + 0.0893299i −0.0262726 + 0.00340073i
\(691\) −7.41783 5.05739i −0.282187 0.192392i 0.413952 0.910299i \(-0.364148\pi\)
−0.696139 + 0.717907i \(0.745100\pi\)
\(692\) 2.59249 + 1.24848i 0.0985518 + 0.0474600i
\(693\) −6.57097 + 46.7911i −0.249611 + 1.77745i
\(694\) −13.7346 + 6.61423i −0.521358 + 0.251073i
\(695\) −20.2707 3.05532i −0.768912 0.115895i
\(696\) −14.2291 + 6.49003i −0.539352 + 0.246004i
\(697\) −34.7895 + 5.24367i −1.31774 + 0.198618i
\(698\) −5.90822 25.8856i −0.223629 0.979784i
\(699\) 18.8482 + 0.393519i 0.712903 + 0.0148843i
\(700\) −0.716883 1.95765i −0.0270956 0.0739921i
\(701\) −9.06919 + 11.3724i −0.342539 + 0.429530i −0.923025 0.384740i \(-0.874291\pi\)
0.580486 + 0.814270i \(0.302862\pi\)
\(702\) 14.3320 1.24966i 0.540928 0.0471654i
\(703\) 45.0578 41.8075i 1.69939 1.57680i
\(704\) 5.95297 0.224361
\(705\) −8.32677 22.5919i −0.313604 0.850861i
\(706\) −20.4085 + 18.9363i −0.768083 + 0.712677i
\(707\) −6.17093 8.11359i −0.232082 0.305143i
\(708\) −1.87079 + 0.242155i −0.0703086 + 0.00910074i
\(709\) −10.0554 + 3.10167i −0.377637 + 0.116486i −0.477762 0.878489i \(-0.658552\pi\)
0.100125 + 0.994975i \(0.468076\pi\)
\(710\) 24.9416 + 3.75934i 0.936042 + 0.141086i
\(711\) 4.05372 + 2.16507i 0.152026 + 0.0811964i
\(712\) 1.76536 + 1.63802i 0.0661598 + 0.0613873i
\(713\) 0.417899 + 0.387754i 0.0156505 + 0.0145215i
\(714\) 13.2058 15.1469i 0.494215 0.566858i
\(715\) 29.0671 26.9704i 1.08705 1.00863i
\(716\) −7.90817 −0.295542
\(717\) −7.41561 20.1198i −0.276941 0.751388i
\(718\) 4.37137 + 19.1522i 0.163138 + 0.714754i
\(719\) 27.6596 18.8580i 1.03153 0.703283i 0.0756754 0.997133i \(-0.475889\pi\)
0.955852 + 0.293849i \(0.0949363\pi\)
\(720\) −6.36634 3.40022i −0.237259 0.126719i
\(721\) −12.0343 15.8228i −0.448182 0.589273i
\(722\) 37.0639 5.58649i 1.37938 0.207908i
\(723\) −0.892699 16.5386i −0.0331999 0.615076i
\(724\) 25.5262 3.84745i 0.948673 0.142989i
\(725\) 5.87858 4.00795i 0.218325 0.148851i
\(726\) 40.1780 + 13.3179i 1.49114 + 0.494273i
\(727\) 1.97248 26.3209i 0.0731552 0.976188i −0.833008 0.553261i \(-0.813383\pi\)
0.906163 0.422928i \(-0.138998\pi\)
\(728\) −7.04750 + 1.99781i −0.261198 + 0.0740437i
\(729\) −2.67260 26.8674i −0.0989851 0.995089i
\(730\) −0.168500 + 2.24847i −0.00623646 + 0.0832198i
\(731\) −4.56534 + 20.0021i −0.168855 + 0.739803i
\(732\) −7.57850 + 2.16548i −0.280109 + 0.0800386i
\(733\) 16.0362 + 20.1087i 0.592309 + 0.742732i 0.984157 0.177298i \(-0.0567355\pi\)
−0.391848 + 0.920030i \(0.628164\pi\)
\(734\) −2.79053 4.83333i −0.103000 0.178402i
\(735\) −12.4457 + 26.3806i −0.459066 + 0.973064i
\(736\) 0.0834993 0.144625i 0.00307782 0.00533095i
\(737\) 86.0009 12.9626i 3.16789 0.477482i
\(738\) 9.72097 22.0188i 0.357834 0.810525i
\(739\) −5.64965 + 1.74268i −0.207826 + 0.0641057i −0.396920 0.917853i \(-0.629921\pi\)
0.189094 + 0.981959i \(0.439445\pi\)
\(740\) −16.2572 11.0840i −0.597627 0.407456i
\(741\) 29.3476 + 20.9194i 1.07811 + 0.768493i
\(742\) −6.40506 + 0.815439i −0.235137 + 0.0299357i
\(743\) −14.2746 9.73226i −0.523685 0.357042i 0.272442 0.962172i \(-0.412169\pi\)
−0.796127 + 0.605130i \(0.793121\pi\)
\(744\) 1.19508 + 5.79065i 0.0438139 + 0.212296i
\(745\) 49.2621 + 23.7234i 1.80482 + 0.869157i
\(746\) 9.63440 24.5480i 0.352740 0.898768i
\(747\) −10.3152 7.68254i −0.377415 0.281089i
\(748\) −16.2760 20.4095i −0.595111 0.746245i
\(749\) −35.0676 + 22.7468i −1.28134 + 0.831149i
\(750\) −16.6601 5.52237i −0.608342 0.201648i
\(751\) −15.8856 7.65011i −0.579674 0.279156i 0.120983 0.992655i \(-0.461395\pi\)
−0.700657 + 0.713498i \(0.747110\pi\)
\(752\) 5.52145 + 1.70314i 0.201346 + 0.0621072i
\(753\) 17.9124 + 3.08354i 0.652764 + 0.112371i
\(754\) −12.4996 21.6500i −0.455209 0.788445i
\(755\) −2.58025 11.3048i −0.0939049 0.411424i
\(756\) 3.91016 + 13.1799i 0.142211 + 0.479350i
\(757\) −10.2795 + 45.0376i −0.373616 + 1.63692i 0.342916 + 0.939366i \(0.388585\pi\)
−0.716532 + 0.697554i \(0.754272\pi\)
\(758\) −3.81317 + 1.17621i −0.138500 + 0.0427217i
\(759\) 1.28641 1.14458i 0.0466938 0.0415458i
\(760\) −6.60570 16.8311i −0.239614 0.610527i
\(761\) 5.93408 25.9989i 0.215110 0.942459i −0.745924 0.666031i \(-0.767992\pi\)
0.961034 0.276429i \(-0.0891509\pi\)
\(762\) −34.3618 + 4.44779i −1.24480 + 0.161126i
\(763\) 13.0932 + 2.28217i 0.474005 + 0.0826202i
\(764\) −0.973412 4.26480i −0.0352168 0.154295i
\(765\) 5.74869 + 31.1233i 0.207844 + 1.12526i
\(766\) −14.0295 24.2998i −0.506907 0.877988i
\(767\) −0.670986 2.93978i −0.0242279 0.106149i
\(768\) 1.57587 0.718771i 0.0568643 0.0259364i
\(769\) 24.9248 + 3.75681i 0.898810 + 0.135474i 0.582165 0.813070i \(-0.302206\pi\)
0.316645 + 0.948544i \(0.397444\pi\)
\(770\) 30.8093 + 22.0587i 1.11029 + 0.794940i
\(771\) −7.39934 13.4572i −0.266481 0.484648i
\(772\) 5.96128 5.53126i 0.214551 0.199074i
\(773\) −3.18375 + 8.11208i −0.114512 + 0.291771i −0.976627 0.214941i \(-0.931044\pi\)
0.862115 + 0.506712i \(0.169139\pi\)
\(774\) −9.88156 9.96793i −0.355185 0.358290i
\(775\) −0.982729 2.50395i −0.0353007 0.0899446i
\(776\) −0.384629 + 5.13252i −0.0138074 + 0.184247i
\(777\) 6.73030 + 36.8697i 0.241448 + 1.32269i
\(778\) 1.55667 + 20.7723i 0.0558093 + 0.744723i
\(779\) 54.3260 26.1620i 1.94643 0.937351i
\(780\) 4.43821 10.6492i 0.158913 0.381303i
\(781\) −56.2320 + 27.0799i −2.01214 + 0.968995i
\(782\) −0.724136 + 0.109146i −0.0258950 + 0.00390305i
\(783\) −40.3434 + 23.9518i −1.44176 + 0.855968i
\(784\) −3.21792 6.21651i −0.114926 0.222018i
\(785\) −25.3465 + 43.9014i −0.904655 + 1.56691i
\(786\) 14.4773 23.9086i 0.516389 0.852791i
\(787\) 0.634709 8.46960i 0.0226249 0.301909i −0.974400 0.224823i \(-0.927820\pi\)
0.997024 0.0770854i \(-0.0245614\pi\)
\(788\) 8.45810 + 7.84797i 0.301307 + 0.279572i
\(789\) 17.4702 4.99195i 0.621956 0.177718i
\(790\) 3.04506 2.07609i 0.108338 0.0738639i
\(791\) 0.100511 + 1.93747i 0.00357375 + 0.0688886i
\(792\) 17.7552 1.92233i 0.630902 0.0683072i
\(793\) −4.60293 11.7281i −0.163455 0.416476i
\(794\) 23.1626 + 11.1545i 0.822010 + 0.395859i
\(795\) 5.26735 8.69878i 0.186814 0.308514i
\(796\) −2.90233 12.7159i −0.102870 0.450705i
\(797\) −1.02684 + 2.61634i −0.0363725 + 0.0926757i −0.947906 0.318550i \(-0.896804\pi\)
0.911533 + 0.411226i \(0.134899\pi\)
\(798\) −13.9755 + 31.4773i −0.494729 + 1.11428i
\(799\) −9.25706 23.5866i −0.327491 0.834434i
\(800\) −0.651053 + 0.443881i −0.0230182 + 0.0156936i
\(801\) 5.79427 + 4.31543i 0.204730 + 0.152478i
\(802\) 6.17288 + 10.6917i 0.217972 + 0.377538i
\(803\) −2.78962 4.83176i −0.0984435 0.170509i
\(804\) 21.2010 13.8153i 0.747703 0.487229i
\(805\) 0.968051 0.439092i 0.0341193 0.0154760i
\(806\) −9.03147 + 2.78584i −0.318120 + 0.0981270i
\(807\) −18.7734 + 2.43003i −0.660855 + 0.0855411i
\(808\) −2.40221 + 3.01227i −0.0845094 + 0.105971i
\(809\) −35.2701 5.31612i −1.24003 0.186905i −0.503912 0.863755i \(-0.668106\pi\)
−0.736121 + 0.676850i \(0.763344\pi\)
\(810\) −20.0860 8.08559i −0.705752 0.284099i
\(811\) −10.9474 + 47.9635i −0.384414 + 1.68423i 0.299047 + 0.954239i \(0.403331\pi\)
−0.683460 + 0.729988i \(0.739526\pi\)
\(812\) 17.8807 15.8424i 0.627491 0.555960i
\(813\) −13.3260 6.76370i −0.467363 0.237213i
\(814\) 48.6868 1.70647
\(815\) 7.16614 12.4121i 0.251019 0.434778i
\(816\) −6.77286 3.43761i −0.237098 0.120340i
\(817\) −2.62767 35.0638i −0.0919304 1.22673i
\(818\) 9.19755 11.5334i 0.321585 0.403255i
\(819\) −20.3745 + 8.23438i −0.711944 + 0.287733i
\(820\) −12.0346 15.0910i −0.420268 0.526999i
\(821\) −4.51290 + 4.18736i −0.157501 + 0.146140i −0.754987 0.655740i \(-0.772357\pi\)
0.597486 + 0.801879i \(0.296166\pi\)
\(822\) −11.4061 + 18.8366i −0.397833 + 0.657002i
\(823\) −26.6935 + 18.1993i −0.930478 + 0.634389i −0.930768 0.365611i \(-0.880860\pi\)
0.000290002 1.00000i \(0.499908\pi\)
\(824\) −4.68470 + 5.87443i −0.163199 + 0.204645i
\(825\) −7.81201 + 2.23221i −0.271979 + 0.0777155i
\(826\) 2.62419 1.19029i 0.0913072 0.0414154i
\(827\) 16.3199 + 7.85927i 0.567500 + 0.273294i 0.695554 0.718474i \(-0.255159\pi\)
−0.128054 + 0.991767i \(0.540873\pi\)
\(828\) 0.202340 0.458318i 0.00703180 0.0159276i
\(829\) 20.1741 6.22290i 0.700677 0.216130i 0.0761075 0.997100i \(-0.475751\pi\)
0.624569 + 0.780969i \(0.285275\pi\)
\(830\) −9.29293 + 4.47524i −0.322562 + 0.155338i
\(831\) 2.06970 + 3.76416i 0.0717971 + 0.130577i
\(832\) 1.38433 + 2.39773i 0.0479931 + 0.0831265i
\(833\) −12.5149 + 28.0291i −0.433616 + 0.971149i
\(834\) 9.44067 11.3441i 0.326904 0.392815i
\(835\) −17.1465 + 43.6886i −0.593380 + 1.51191i
\(836\) 36.9655 + 25.2027i 1.27848 + 0.871653i
\(837\) 5.43434 + 16.8851i 0.187838 + 0.583635i
\(838\) −0.921824 + 12.3009i −0.0318439 + 0.424927i
\(839\) 14.6553 9.99182i 0.505958 0.344956i −0.283287 0.959035i \(-0.591425\pi\)
0.789244 + 0.614079i \(0.210472\pi\)
\(840\) 10.8192 + 2.11942i 0.373299 + 0.0731268i
\(841\) 43.4015 + 29.5906i 1.49660 + 1.02037i
\(842\) 11.8755 14.8913i 0.409255 0.513190i
\(843\) −38.3437 + 17.4889i −1.32063 + 0.602351i
\(844\) −6.32214 7.92771i −0.217617 0.272883i
\(845\) −12.2637 3.78284i −0.421883 0.130134i
\(846\) 17.0181 + 3.29675i 0.585094 + 0.113345i
\(847\) −64.6396 1.48497i −2.22104 0.0510242i
\(848\) 0.891587 + 2.27173i 0.0306172 + 0.0780114i
\(849\) −3.74516 + 1.70821i −0.128534 + 0.0586255i
\(850\) 3.30187 + 1.01849i 0.113253 + 0.0349340i
\(851\) 0.682905 1.18283i 0.0234097 0.0405468i
\(852\) −11.6161 + 13.9581i −0.397959 + 0.478197i
\(853\) 35.7730 + 11.0345i 1.22484 + 0.377815i 0.838685 0.544617i \(-0.183325\pi\)
0.386160 + 0.922432i \(0.373801\pi\)
\(854\) 10.1008 6.55193i 0.345642 0.224202i
\(855\) −25.1371 48.0667i −0.859669 1.64385i
\(856\) 11.5811 + 10.7457i 0.395835 + 0.367281i
\(857\) 2.48595 3.11728i 0.0849183 0.106484i −0.737557 0.675285i \(-0.764021\pi\)
0.822476 + 0.568800i \(0.192592\pi\)
\(858\) 5.77004 + 27.9581i 0.196986 + 0.954474i
\(859\) −9.55025 + 41.8424i −0.325850 + 1.42764i 0.501111 + 0.865383i \(0.332925\pi\)
−0.826961 + 0.562260i \(0.809932\pi\)
\(860\) −10.7558 + 3.31774i −0.366771 + 0.113134i
\(861\) −4.35188 + 36.5078i −0.148312 + 1.24418i
\(862\) 12.4719 + 3.84707i 0.424794 + 0.131032i
\(863\) 2.71939 4.71011i 0.0925690 0.160334i −0.816022 0.578020i \(-0.803825\pi\)
0.908591 + 0.417686i \(0.137159\pi\)
\(864\) 4.46804 2.65266i 0.152006 0.0902455i
\(865\) 5.07464 4.70858i 0.172543 0.160097i
\(866\) 1.84920 + 24.6759i 0.0628384 + 0.838520i
\(867\) 0.780556 + 3.78210i 0.0265091 + 0.128447i
\(868\) −4.33506 7.92340i −0.147141 0.268938i
\(869\) −3.33165 + 8.48892i −0.113019 + 0.287967i
\(870\) 2.02794 + 37.5706i 0.0687536 + 1.27376i
\(871\) 25.2201 + 31.6250i 0.854551 + 1.07157i
\(872\) −0.375397 5.00933i −0.0127125 0.169637i
\(873\) 0.510210 + 15.4323i 0.0172680 + 0.522304i
\(874\) 1.13078 0.544557i 0.0382493 0.0184199i
\(875\) 26.8033 + 0.615756i 0.906118 + 0.0208163i
\(876\) −1.32186 0.942241i −0.0446616 0.0318354i
\(877\) −28.1175 + 13.5407i −0.949461 + 0.457236i −0.843497 0.537134i \(-0.819507\pi\)
−0.105964 + 0.994370i \(0.533793\pi\)
\(878\) 16.7308 + 15.5239i 0.564638 + 0.523908i
\(879\) 30.1193 + 29.1400i 1.01590 + 0.982869i
\(880\) 5.23234 13.3318i 0.176382 0.449414i
\(881\) 16.0707 0.541436 0.270718 0.962659i \(-0.412739\pi\)
0.270718 + 0.962659i \(0.412739\pi\)
\(882\) −11.6051 17.5020i −0.390764 0.589324i
\(883\) −15.2744 −0.514026 −0.257013 0.966408i \(-0.582738\pi\)
−0.257013 + 0.966408i \(0.582738\pi\)
\(884\) 4.43562 11.3018i 0.149186 0.380120i
\(885\) −1.10201 + 4.40250i −0.0370437 + 0.147988i
\(886\) −27.8743 25.8636i −0.936457 0.868905i
\(887\) 30.2947 14.5892i 1.01720 0.489857i 0.150458 0.988616i \(-0.451925\pi\)
0.866740 + 0.498760i \(0.166211\pi\)
\(888\) 12.8884 5.87852i 0.432506 0.197270i
\(889\) 48.1998 21.8626i 1.61657 0.733250i
\(890\) 5.22002 2.51383i 0.174975 0.0842638i
\(891\) 52.3352 11.4670i 1.75330 0.384159i
\(892\) −0.0511322 0.682312i −0.00171203 0.0228455i
\(893\) 27.0755 + 33.9516i 0.906046 + 1.13615i
\(894\) −32.9799 + 21.4909i −1.10301 + 0.718762i
\(895\) −6.95084 + 17.7105i −0.232341 + 0.591995i
\(896\) −1.98029 + 1.75455i −0.0661569 + 0.0586154i
\(897\) 0.760163 + 0.251973i 0.0253811 + 0.00841313i
\(898\) 1.07445 + 14.3375i 0.0358548 + 0.478449i
\(899\) 22.5951 20.9652i 0.753590 0.699229i
\(900\) −1.79847 + 1.53414i −0.0599491 + 0.0511381i
\(901\) 5.35082 9.26790i 0.178262 0.308758i
\(902\) 45.6392 + 14.0778i 1.51962 + 0.468741i
\(903\) 18.8906 + 10.1402i 0.628639 + 0.337446i
\(904\) 0.700703 0.216138i 0.0233050 0.00718865i
\(905\) 13.8197 60.5480i 0.459382 2.01268i
\(906\) 7.92413 + 2.62663i 0.263262 + 0.0872639i
\(907\) 2.43624 3.05494i 0.0808939 0.101438i −0.739738 0.672895i \(-0.765050\pi\)
0.820632 + 0.571458i \(0.193622\pi\)
\(908\) 2.94917 + 2.73643i 0.0978718 + 0.0908117i
\(909\) −6.19203 + 9.76004i −0.205377 + 0.323720i
\(910\) −1.72025 + 17.5390i −0.0570257 + 0.581411i
\(911\) 14.8067 + 4.56726i 0.490567 + 0.151320i 0.530163 0.847896i \(-0.322131\pi\)
−0.0395955 + 0.999216i \(0.512607\pi\)
\(912\) 12.8285 + 2.20838i 0.424795 + 0.0731266i
\(913\) 12.7610 22.1027i 0.422327 0.731491i
\(914\) −22.4981 6.93975i −0.744171 0.229546i
\(915\) −1.81145 + 18.8755i −0.0598846 + 0.624005i
\(916\) −0.678467 1.72871i −0.0224172 0.0571181i
\(917\) −10.4539 + 41.3950i −0.345219 + 1.36698i
\(918\) −21.3106 8.06582i −0.703355 0.266212i
\(919\) 43.9543 + 13.5581i 1.44992 + 0.447240i 0.916986 0.398919i \(-0.130614\pi\)
0.532931 + 0.846159i \(0.321091\pi\)
\(920\) −0.250499 0.314115i −0.00825869 0.0103561i
\(921\) 16.9848 + 12.1070i 0.559669 + 0.398939i
\(922\) 0.699465 0.877102i 0.0230357 0.0288858i
\(923\) −23.9837 16.3518i −0.789432 0.538225i
\(924\) −25.0736 + 10.7477i −0.824860 + 0.353573i
\(925\) −5.32469 + 3.63031i −0.175075 + 0.119364i
\(926\) 2.37251 31.6589i 0.0779654 1.04038i
\(927\) −12.0755 + 19.0337i −0.396611 + 0.625148i
\(928\) −7.46039 5.08641i −0.244899 0.166970i
\(929\) 18.2373 46.4678i 0.598345 1.52456i −0.235109 0.971969i \(-0.575545\pi\)
0.833454 0.552589i \(-0.186360\pi\)
\(930\) 14.0187 + 2.41326i 0.459690 + 0.0791338i
\(931\) 6.33641 52.2254i 0.207668 1.71162i
\(932\) 5.44218 + 9.42614i 0.178265 + 0.308763i
\(933\) 42.2195 + 0.881474i 1.38220 + 0.0288582i
\(934\) −27.3742 + 13.1827i −0.895711 + 0.431352i
\(935\) −60.0131 + 18.5116i −1.96264 + 0.605394i
\(936\) 4.90315 + 6.70438i 0.160264 + 0.219140i
\(937\) 49.1672 + 23.6777i 1.60622 + 0.773516i 0.999767 0.0216020i \(-0.00687667\pi\)
0.606455 + 0.795118i \(0.292591\pi\)
\(938\) −24.7882 + 29.6595i −0.809363 + 0.968419i
\(939\) −5.86733 5.67656i −0.191473 0.185247i
\(940\) 8.66726 10.8684i 0.282695 0.354488i
\(941\) 3.12610 2.13134i 0.101908 0.0694797i −0.511294 0.859406i \(-0.670834\pi\)
0.613202 + 0.789926i \(0.289881\pi\)
\(942\) −17.5843 31.9805i −0.572926 1.04198i
\(943\) 0.982172 0.911323i 0.0319839 0.0296768i
\(944\) −0.679050 0.851502i −0.0221012 0.0277140i
\(945\) 32.9535 + 2.82756i 1.07198 + 0.0919807i
\(946\) 17.3652 21.7753i 0.564592 0.707976i
\(947\) 2.41807 + 32.2670i 0.0785769 + 1.04854i 0.887557 + 0.460699i \(0.152401\pi\)
−0.808980 + 0.587837i \(0.799980\pi\)
\(948\) 0.143009 + 2.64945i 0.00464472 + 0.0860503i
\(949\) 1.29742 2.24720i 0.0421161 0.0729472i
\(950\) −5.92200 −0.192135
\(951\) −3.59258 + 2.34105i −0.116497 + 0.0759136i
\(952\) 11.4297 + 1.99223i 0.370439 + 0.0645684i
\(953\) 5.91696 25.9239i 0.191669 0.839757i −0.784044 0.620705i \(-0.786846\pi\)
0.975713 0.219052i \(-0.0702964\pi\)
\(954\) 3.39281 + 6.48767i 0.109846 + 0.210046i
\(955\) −10.4067 1.56855i −0.336751 0.0507571i
\(956\) 7.71884 9.67913i 0.249645 0.313045i
\(957\) −56.5150 73.9845i −1.82687 2.39158i
\(958\) −19.6621 + 6.06495i −0.635254 + 0.195950i
\(959\) 8.23622 32.6134i 0.265961 1.05314i
\(960\) −0.224595 4.16095i −0.00724876 0.134294i
\(961\) 9.67335 + 16.7547i 0.312044 + 0.540475i
\(962\) 11.3219 + 19.6100i 0.365032 + 0.632253i
\(963\) 38.0115 + 28.3101i 1.22490 + 0.912279i
\(964\) 7.90087 5.38672i 0.254470 0.173495i
\(965\) −7.14770 18.2120i −0.230093 0.586266i
\(966\) −0.0905836 + 0.759903i −0.00291448 + 0.0244495i
\(967\) −1.47677 + 3.76275i −0.0474898 + 0.121002i −0.952650 0.304068i \(-0.901655\pi\)
0.905161 + 0.425070i \(0.139750\pi\)
\(968\) 5.43795 + 23.8252i 0.174782 + 0.765771i
\(969\) −27.5032 50.0199i −0.883529 1.60687i
\(970\) 11.1563 + 5.37258i 0.358207 + 0.172503i
\(971\) 13.8161 + 35.2028i 0.443380 + 1.12971i 0.961597 + 0.274464i \(0.0885005\pi\)
−0.518218 + 0.855249i \(0.673404\pi\)
\(972\) 12.4696 9.35458i 0.399964 0.300048i
\(973\) −8.71609 + 20.7910i −0.279425 + 0.666529i
\(974\) −31.5104 + 21.4834i −1.00966 + 0.688373i
\(975\) −2.71573 2.62743i −0.0869729 0.0841450i
\(976\) −3.33580 3.09517i −0.106776 0.0990740i
\(977\) −0.340893 + 4.54890i −0.0109061 + 0.145532i −0.999998 0.00176483i \(-0.999438\pi\)
0.989092 + 0.147297i \(0.0470573\pi\)
\(978\) 4.97155 + 9.04175i 0.158973 + 0.289123i
\(979\) −7.16809 + 12.4155i −0.229093 + 0.396801i
\(980\) −16.7503 + 1.74261i −0.535070 + 0.0556657i
\(981\) −2.73726 14.8194i −0.0873940 0.473148i
\(982\) −6.17682 + 0.931006i −0.197110 + 0.0297096i
\(983\) 3.42586 1.64981i 0.109268 0.0526207i −0.378451 0.925621i \(-0.623543\pi\)
0.487719 + 0.873000i \(0.337829\pi\)
\(984\) 13.7814 1.78386i 0.439335 0.0568675i
\(985\) 25.0098 12.0441i 0.796880 0.383757i
\(986\) 2.95894 + 39.4844i 0.0942320 + 1.25744i
\(987\) −26.3309 + 2.79506i −0.838122 + 0.0889677i
\(988\) −1.55497 + 20.7497i −0.0494703 + 0.660136i
\(989\) −0.285449 0.727312i −0.00907674 0.0231272i
\(990\) 11.3007 41.4526i 0.359160 1.31745i
\(991\) −1.42128 + 3.62135i −0.0451483 + 0.115036i −0.951669 0.307125i \(-0.900633\pi\)
0.906521 + 0.422161i \(0.138728\pi\)
\(992\) −2.50241 + 2.32190i −0.0794517 + 0.0737204i
\(993\) −29.9903 + 49.5276i −0.951715 + 1.57171i
\(994\) 10.7245 25.5818i 0.340161 0.811406i
\(995\) −31.0285 4.67680i −0.983671 0.148264i
\(996\) 0.709377 7.39179i 0.0224775 0.234218i
\(997\) −0.833938 3.65372i −0.0264111 0.115714i 0.960004 0.279986i \(-0.0903298\pi\)
−0.986415 + 0.164271i \(0.947473\pi\)
\(998\) −19.5507 33.8629i −0.618867 1.07191i
\(999\) 36.5422 21.6950i 1.15614 0.686400i
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 882.2.y.a.583.3 336
9.4 even 3 882.2.bb.b.877.14 yes 336
49.39 even 21 882.2.bb.b.529.14 yes 336
441.382 even 21 inner 882.2.y.a.823.3 yes 336
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
882.2.y.a.583.3 336 1.1 even 1 trivial
882.2.y.a.823.3 yes 336 441.382 even 21 inner
882.2.bb.b.529.14 yes 336 49.39 even 21
882.2.bb.b.877.14 yes 336 9.4 even 3