Properties

Label 966.2.l.d.47.8
Level $966$
Weight $2$
Character 966.47
Analytic conductor $7.714$
Analytic rank $0$
Dimension $56$
Inner twists $4$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [966,2,Mod(47,966)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(966, base_ring=CyclotomicField(6))
 
chi = DirichletCharacter(H, H._module([3, 5, 0]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("966.47");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 966 = 2 \cdot 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 966.l (of order \(6\), degree \(2\), 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: \(7.71354883526\)
Analytic rank: \(0\)
Dimension: \(56\)
Relative dimension: \(28\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 47.8
Character \(\chi\) \(=\) 966.47
Dual form 966.2.l.d.185.8

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.866025 - 0.500000i) q^{2} +(0.219734 + 1.71806i) q^{3} +(0.500000 + 0.866025i) q^{4} +(-1.55436 + 2.69223i) q^{5} +(0.668732 - 1.59775i) q^{6} +(1.70233 + 2.02535i) q^{7} -1.00000i q^{8} +(-2.90343 + 0.755032i) q^{9} +O(q^{10})\) \(q+(-0.866025 - 0.500000i) q^{2} +(0.219734 + 1.71806i) q^{3} +(0.500000 + 0.866025i) q^{4} +(-1.55436 + 2.69223i) q^{5} +(0.668732 - 1.59775i) q^{6} +(1.70233 + 2.02535i) q^{7} -1.00000i q^{8} +(-2.90343 + 0.755032i) q^{9} +(2.69223 - 1.55436i) q^{10} +(1.72724 - 0.997220i) q^{11} +(-1.37801 + 1.04932i) q^{12} +6.48763i q^{13} +(-0.461588 - 2.60517i) q^{14} +(-4.96696 - 2.07891i) q^{15} +(-0.500000 + 0.866025i) q^{16} +(-0.647242 - 1.12106i) q^{17} +(2.89196 + 0.797840i) q^{18} +(5.47992 + 3.16384i) q^{19} -3.10873 q^{20} +(-3.10561 + 3.36975i) q^{21} -1.99444 q^{22} +(-0.866025 - 0.500000i) q^{23} +(1.71806 - 0.219734i) q^{24} +(-2.33209 - 4.03929i) q^{25} +(3.24382 - 5.61845i) q^{26} +(-1.93517 - 4.82235i) q^{27} +(-0.902841 + 2.48694i) q^{28} +8.19356i q^{29} +(3.26206 + 4.28386i) q^{30} +(5.67980 - 3.27923i) q^{31} +(0.866025 - 0.500000i) q^{32} +(2.09281 + 2.74836i) q^{33} +1.29448i q^{34} +(-8.09877 + 1.43495i) q^{35} +(-2.10559 - 2.13693i) q^{36} +(4.44454 - 7.69817i) q^{37} +(-3.16384 - 5.47992i) q^{38} +(-11.1461 + 1.42556i) q^{39} +(2.69223 + 1.55436i) q^{40} -3.65516 q^{41} +(4.37441 - 1.36548i) q^{42} -11.8086 q^{43} +(1.72724 + 0.997220i) q^{44} +(2.48026 - 8.99032i) q^{45} +(0.500000 + 0.866025i) q^{46} +(6.57313 - 11.3850i) q^{47} +(-1.59775 - 0.668732i) q^{48} +(-1.20412 + 6.89566i) q^{49} +4.66417i q^{50} +(1.78382 - 1.35833i) q^{51} +(-5.61845 + 3.24382i) q^{52} +(-4.17500 + 2.41044i) q^{53} +(-0.735269 + 5.14387i) q^{54} +6.20017i q^{55} +(2.02535 - 1.70233i) q^{56} +(-4.23152 + 10.1100i) q^{57} +(4.09678 - 7.09583i) q^{58} +(-2.26939 - 3.93070i) q^{59} +(-0.683094 - 5.34096i) q^{60} +(-5.50208 - 3.17663i) q^{61} -6.55846 q^{62} +(-6.47182 - 4.59516i) q^{63} -1.00000 q^{64} +(-17.4662 - 10.0841i) q^{65} +(-0.438247 - 3.42656i) q^{66} +(1.69218 + 2.93095i) q^{67} +(0.647242 - 1.12106i) q^{68} +(0.668732 - 1.59775i) q^{69} +(7.73122 + 2.80668i) q^{70} -4.68605i q^{71} +(0.755032 + 2.90343i) q^{72} +(5.97651 - 3.45054i) q^{73} +(-7.69817 + 4.44454i) q^{74} +(6.42729 - 4.89423i) q^{75} +6.32767i q^{76} +(4.96006 + 1.80066i) q^{77} +(10.3656 + 4.33849i) q^{78} +(1.88663 - 3.26773i) q^{79} +(-1.55436 - 2.69223i) q^{80} +(7.85985 - 4.38437i) q^{81} +(3.16546 + 1.82758i) q^{82} +1.23306 q^{83} +(-4.47109 - 1.00466i) q^{84} +4.02420 q^{85} +(10.2266 + 5.90431i) q^{86} +(-14.0770 + 1.80041i) q^{87} +(-0.997220 - 1.72724i) q^{88} +(-6.35395 + 11.0054i) q^{89} +(-6.64313 + 6.54571i) q^{90} +(-13.1397 + 11.0441i) q^{91} -1.00000i q^{92} +(6.88195 + 9.03765i) q^{93} +(-11.3850 + 6.57313i) q^{94} +(-17.0356 + 9.83550i) q^{95} +(1.04932 + 1.37801i) q^{96} -13.2645i q^{97} +(4.49062 - 5.36976i) q^{98} +(-4.26198 + 4.19948i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 56 q + 28 q^{4} + 8 q^{7} + 10 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 56 q + 28 q^{4} + 8 q^{7} + 10 q^{9} + 12 q^{10} + 8 q^{15} - 28 q^{16} - 8 q^{18} - 24 q^{19} - 4 q^{21} - 12 q^{22} + 6 q^{24} - 8 q^{25} + 10 q^{28} + 6 q^{30} - 6 q^{31} + 30 q^{33} + 20 q^{36} + 4 q^{37} - 10 q^{39} + 12 q^{40} + 8 q^{42} - 104 q^{43} - 6 q^{45} + 28 q^{46} + 40 q^{49} - 22 q^{51} - 6 q^{52} + 18 q^{54} + 68 q^{57} - 30 q^{58} + 4 q^{60} - 84 q^{61} - 6 q^{63} - 56 q^{64} - 30 q^{66} + 2 q^{67} + 30 q^{70} + 8 q^{72} + 54 q^{73} - 24 q^{75} + 68 q^{78} - 6 q^{79} + 22 q^{81} + 4 q^{84} - 108 q^{85} - 126 q^{87} - 6 q^{88} - 42 q^{91} + 36 q^{93} - 18 q^{94} + 6 q^{96} + 48 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/966\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(829\) \(925\)
\(\chi(n)\) \(-1\) \(e\left(\frac{5}{6}\right)\) \(1\)

Coefficient data

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



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.866025 0.500000i −0.612372 0.353553i
\(3\) 0.219734 + 1.71806i 0.126864 + 0.991920i
\(4\) 0.500000 + 0.866025i 0.250000 + 0.433013i
\(5\) −1.55436 + 2.69223i −0.695132 + 1.20400i 0.275004 + 0.961443i \(0.411321\pi\)
−0.970136 + 0.242561i \(0.922013\pi\)
\(6\) 0.668732 1.59775i 0.273009 0.652278i
\(7\) 1.70233 + 2.02535i 0.643422 + 0.765512i
\(8\) 1.00000i 0.353553i
\(9\) −2.90343 + 0.755032i −0.967811 + 0.251677i
\(10\) 2.69223 1.55436i 0.851359 0.491533i
\(11\) 1.72724 0.997220i 0.520781 0.300673i −0.216473 0.976289i \(-0.569455\pi\)
0.737254 + 0.675615i \(0.236122\pi\)
\(12\) −1.37801 + 1.04932i −0.397798 + 0.302914i
\(13\) 6.48763i 1.79935i 0.436565 + 0.899673i \(0.356195\pi\)
−0.436565 + 0.899673i \(0.643805\pi\)
\(14\) −0.461588 2.60517i −0.123365 0.696262i
\(15\) −4.96696 2.07891i −1.28246 0.536771i
\(16\) −0.500000 + 0.866025i −0.125000 + 0.216506i
\(17\) −0.647242 1.12106i −0.156979 0.271896i 0.776799 0.629749i \(-0.216842\pi\)
−0.933778 + 0.357853i \(0.883509\pi\)
\(18\) 2.89196 + 0.797840i 0.681642 + 0.188053i
\(19\) 5.47992 + 3.16384i 1.25718 + 0.725834i 0.972526 0.232796i \(-0.0747875\pi\)
0.284655 + 0.958630i \(0.408121\pi\)
\(20\) −3.10873 −0.695132
\(21\) −3.10561 + 3.36975i −0.677700 + 0.735339i
\(22\) −1.99444 −0.425216
\(23\) −0.866025 0.500000i −0.180579 0.104257i
\(24\) 1.71806 0.219734i 0.350697 0.0448531i
\(25\) −2.33209 4.03929i −0.466417 0.807858i
\(26\) 3.24382 5.61845i 0.636165 1.10187i
\(27\) −1.93517 4.82235i −0.372424 0.928063i
\(28\) −0.902841 + 2.48694i −0.170621 + 0.469988i
\(29\) 8.19356i 1.52151i 0.649042 + 0.760753i \(0.275170\pi\)
−0.649042 + 0.760753i \(0.724830\pi\)
\(30\) 3.26206 + 4.28386i 0.595568 + 0.782123i
\(31\) 5.67980 3.27923i 1.02012 0.588967i 0.105982 0.994368i \(-0.466201\pi\)
0.914139 + 0.405401i \(0.132868\pi\)
\(32\) 0.866025 0.500000i 0.153093 0.0883883i
\(33\) 2.09281 + 2.74836i 0.364312 + 0.478429i
\(34\) 1.29448i 0.222002i
\(35\) −8.09877 + 1.43495i −1.36894 + 0.242551i
\(36\) −2.10559 2.13693i −0.350932 0.356155i
\(37\) 4.44454 7.69817i 0.730678 1.26557i −0.225916 0.974147i \(-0.572538\pi\)
0.956594 0.291424i \(-0.0941292\pi\)
\(38\) −3.16384 5.47992i −0.513242 0.888961i
\(39\) −11.1461 + 1.42556i −1.78481 + 0.228272i
\(40\) 2.69223 + 1.55436i 0.425680 + 0.245766i
\(41\) −3.65516 −0.570840 −0.285420 0.958403i \(-0.592133\pi\)
−0.285420 + 0.958403i \(0.592133\pi\)
\(42\) 4.37441 1.36548i 0.674986 0.210698i
\(43\) −11.8086 −1.80080 −0.900399 0.435065i \(-0.856725\pi\)
−0.900399 + 0.435065i \(0.856725\pi\)
\(44\) 1.72724 + 0.997220i 0.260391 + 0.150337i
\(45\) 2.48026 8.99032i 0.369736 1.34020i
\(46\) 0.500000 + 0.866025i 0.0737210 + 0.127688i
\(47\) 6.57313 11.3850i 0.958789 1.66067i 0.233340 0.972395i \(-0.425035\pi\)
0.725449 0.688276i \(-0.241632\pi\)
\(48\) −1.59775 0.668732i −0.230615 0.0965232i
\(49\) −1.20412 + 6.89566i −0.172017 + 0.985094i
\(50\) 4.66417i 0.659613i
\(51\) 1.78382 1.35833i 0.249784 0.190205i
\(52\) −5.61845 + 3.24382i −0.779139 + 0.449836i
\(53\) −4.17500 + 2.41044i −0.573481 + 0.331099i −0.758538 0.651628i \(-0.774086\pi\)
0.185058 + 0.982728i \(0.440753\pi\)
\(54\) −0.735269 + 5.14387i −0.100057 + 0.699992i
\(55\) 6.20017i 0.836030i
\(56\) 2.02535 1.70233i 0.270649 0.227484i
\(57\) −4.23152 + 10.1100i −0.560478 + 1.33910i
\(58\) 4.09678 7.09583i 0.537933 0.931728i
\(59\) −2.26939 3.93070i −0.295449 0.511733i 0.679640 0.733546i \(-0.262136\pi\)
−0.975089 + 0.221813i \(0.928803\pi\)
\(60\) −0.683094 5.34096i −0.0881871 0.689515i
\(61\) −5.50208 3.17663i −0.704469 0.406725i 0.104541 0.994521i \(-0.466663\pi\)
−0.809010 + 0.587795i \(0.799996\pi\)
\(62\) −6.55846 −0.832926
\(63\) −6.47182 4.59516i −0.815373 0.578936i
\(64\) −1.00000 −0.125000
\(65\) −17.4662 10.0841i −2.16642 1.25078i
\(66\) −0.438247 3.42656i −0.0539445 0.421780i
\(67\) 1.69218 + 2.93095i 0.206733 + 0.358072i 0.950684 0.310162i \(-0.100383\pi\)
−0.743950 + 0.668235i \(0.767050\pi\)
\(68\) 0.647242 1.12106i 0.0784897 0.135948i
\(69\) 0.668732 1.59775i 0.0805059 0.192346i
\(70\) 7.73122 + 2.80668i 0.924057 + 0.335463i
\(71\) 4.68605i 0.556132i −0.960562 0.278066i \(-0.910307\pi\)
0.960562 0.278066i \(-0.0896935\pi\)
\(72\) 0.755032 + 2.90343i 0.0889814 + 0.342173i
\(73\) 5.97651 3.45054i 0.699497 0.403855i −0.107663 0.994187i \(-0.534337\pi\)
0.807160 + 0.590332i \(0.201003\pi\)
\(74\) −7.69817 + 4.44454i −0.894894 + 0.516667i
\(75\) 6.42729 4.89423i 0.742159 0.565136i
\(76\) 6.32767i 0.725834i
\(77\) 4.96006 + 1.80066i 0.565251 + 0.205204i
\(78\) 10.3656 + 4.33849i 1.17367 + 0.491237i
\(79\) 1.88663 3.26773i 0.212262 0.367649i −0.740160 0.672431i \(-0.765250\pi\)
0.952422 + 0.304782i \(0.0985836\pi\)
\(80\) −1.55436 2.69223i −0.173783 0.301001i
\(81\) 7.85985 4.38437i 0.873317 0.487153i
\(82\) 3.16546 + 1.82758i 0.349567 + 0.201822i
\(83\) 1.23306 0.135346 0.0676730 0.997708i \(-0.478443\pi\)
0.0676730 + 0.997708i \(0.478443\pi\)
\(84\) −4.47109 1.00466i −0.487836 0.109618i
\(85\) 4.02420 0.436486
\(86\) 10.2266 + 5.90431i 1.10276 + 0.636678i
\(87\) −14.0770 + 1.80041i −1.50921 + 0.193024i
\(88\) −0.997220 1.72724i −0.106304 0.184124i
\(89\) −6.35395 + 11.0054i −0.673518 + 1.16657i 0.303382 + 0.952869i \(0.401884\pi\)
−0.976900 + 0.213698i \(0.931449\pi\)
\(90\) −6.64313 + 6.54571i −0.700247 + 0.689979i
\(91\) −13.1397 + 11.0441i −1.37742 + 1.15774i
\(92\) 1.00000i 0.104257i
\(93\) 6.88195 + 9.03765i 0.713625 + 0.937160i
\(94\) −11.3850 + 6.57313i −1.17427 + 0.677966i
\(95\) −17.0356 + 9.83550i −1.74781 + 1.00910i
\(96\) 1.04932 + 1.37801i 0.107096 + 0.140643i
\(97\) 13.2645i 1.34680i −0.739277 0.673401i \(-0.764833\pi\)
0.739277 0.673401i \(-0.235167\pi\)
\(98\) 4.49062 5.36976i 0.453622 0.542427i
\(99\) −4.26198 + 4.19948i −0.428345 + 0.422064i
\(100\) 2.33209 4.03929i 0.233209 0.403929i
\(101\) 4.12525 + 7.14514i 0.410477 + 0.710968i 0.994942 0.100452i \(-0.0320287\pi\)
−0.584465 + 0.811419i \(0.698695\pi\)
\(102\) −2.22400 + 0.284443i −0.220209 + 0.0281641i
\(103\) 8.34204 + 4.81628i 0.821966 + 0.474562i 0.851094 0.525013i \(-0.175940\pi\)
−0.0291280 + 0.999576i \(0.509273\pi\)
\(104\) 6.48763 0.636165
\(105\) −4.24490 13.5988i −0.414260 1.32711i
\(106\) 4.82088 0.468245
\(107\) 11.0502 + 6.37981i 1.06826 + 0.616760i 0.927705 0.373314i \(-0.121778\pi\)
0.140554 + 0.990073i \(0.455112\pi\)
\(108\) 3.20870 4.08709i 0.308757 0.393280i
\(109\) 1.20106 + 2.08029i 0.115040 + 0.199256i 0.917796 0.397052i \(-0.129967\pi\)
−0.802755 + 0.596308i \(0.796634\pi\)
\(110\) 3.10008 5.36950i 0.295581 0.511962i
\(111\) 14.2025 + 5.94442i 1.34804 + 0.564219i
\(112\) −2.60517 + 0.461588i −0.246166 + 0.0436160i
\(113\) 16.1715i 1.52129i −0.649169 0.760644i \(-0.724883\pi\)
0.649169 0.760644i \(-0.275117\pi\)
\(114\) 8.71961 6.63978i 0.816667 0.621872i
\(115\) 2.69223 1.55436i 0.251052 0.144945i
\(116\) −7.09583 + 4.09678i −0.658831 + 0.380376i
\(117\) −4.89837 18.8364i −0.452855 1.74143i
\(118\) 4.53878i 0.417828i
\(119\) 1.16871 3.21931i 0.107136 0.295114i
\(120\) −2.07891 + 4.96696i −0.189777 + 0.453419i
\(121\) −3.51110 + 6.08141i −0.319191 + 0.552856i
\(122\) 3.17663 + 5.50208i 0.287598 + 0.498135i
\(123\) −0.803164 6.27977i −0.0724189 0.566228i
\(124\) 5.67980 + 3.27923i 0.510061 + 0.294484i
\(125\) −1.04400 −0.0933782
\(126\) 3.30718 + 7.21544i 0.294627 + 0.642802i
\(127\) −12.9107 −1.14564 −0.572821 0.819680i \(-0.694151\pi\)
−0.572821 + 0.819680i \(0.694151\pi\)
\(128\) 0.866025 + 0.500000i 0.0765466 + 0.0441942i
\(129\) −2.59476 20.2879i −0.228456 1.78625i
\(130\) 10.0841 + 17.4662i 0.884437 + 1.53189i
\(131\) −4.03707 + 6.99242i −0.352721 + 0.610930i −0.986725 0.162399i \(-0.948077\pi\)
0.634004 + 0.773329i \(0.281410\pi\)
\(132\) −1.33375 + 3.18661i −0.116088 + 0.277359i
\(133\) 2.92078 + 16.4847i 0.253263 + 1.42940i
\(134\) 3.38437i 0.292365i
\(135\) 15.9909 + 2.28575i 1.37628 + 0.196726i
\(136\) −1.12106 + 0.647242i −0.0961298 + 0.0555006i
\(137\) −5.30911 + 3.06521i −0.453588 + 0.261879i −0.709344 0.704862i \(-0.751009\pi\)
0.255757 + 0.966741i \(0.417675\pi\)
\(138\) −1.37801 + 1.04932i −0.117304 + 0.0893244i
\(139\) 15.1021i 1.28094i 0.767982 + 0.640471i \(0.221261\pi\)
−0.767982 + 0.640471i \(0.778739\pi\)
\(140\) −5.29209 6.29627i −0.447263 0.532132i
\(141\) 21.0044 + 8.79132i 1.76889 + 0.740363i
\(142\) −2.34303 + 4.05824i −0.196622 + 0.340560i
\(143\) 6.46960 + 11.2057i 0.541015 + 0.937065i
\(144\) 0.797840 2.89196i 0.0664866 0.240997i
\(145\) −22.0590 12.7358i −1.83190 1.05765i
\(146\) −6.90108 −0.571137
\(147\) −12.1117 0.553525i −0.998957 0.0456539i
\(148\) 8.88908 0.730678
\(149\) 19.8412 + 11.4553i 1.62545 + 0.938457i 0.985426 + 0.170106i \(0.0544111\pi\)
0.640029 + 0.768351i \(0.278922\pi\)
\(150\) −8.01331 + 1.02488i −0.654284 + 0.0836810i
\(151\) −1.50711 2.61039i −0.122647 0.212431i 0.798164 0.602441i \(-0.205805\pi\)
−0.920811 + 0.390010i \(0.872472\pi\)
\(152\) 3.16384 5.47992i 0.256621 0.444481i
\(153\) 2.72566 + 2.76623i 0.220357 + 0.223636i
\(154\) −3.39520 4.03945i −0.273593 0.325508i
\(155\) 20.3885i 1.63764i
\(156\) −6.80763 8.94004i −0.545046 0.715776i
\(157\) 20.8770 12.0533i 1.66616 0.961959i 0.696485 0.717572i \(-0.254746\pi\)
0.969678 0.244387i \(-0.0785869\pi\)
\(158\) −3.26773 + 1.88663i −0.259967 + 0.150092i
\(159\) −5.05866 6.64323i −0.401178 0.526843i
\(160\) 3.10873i 0.245766i
\(161\) −0.461588 2.60517i −0.0363782 0.205317i
\(162\) −8.99902 0.132948i −0.707030 0.0104454i
\(163\) 0.695376 1.20443i 0.0544660 0.0943379i −0.837507 0.546427i \(-0.815988\pi\)
0.891973 + 0.452089i \(0.149321\pi\)
\(164\) −1.82758 3.16546i −0.142710 0.247181i
\(165\) −10.6522 + 1.36239i −0.829275 + 0.106062i
\(166\) −1.06786 0.616530i −0.0828821 0.0478520i
\(167\) 16.0482 1.24185 0.620925 0.783870i \(-0.286757\pi\)
0.620925 + 0.783870i \(0.286757\pi\)
\(168\) 3.36975 + 3.10561i 0.259982 + 0.239603i
\(169\) −29.0894 −2.23764
\(170\) −3.48506 2.01210i −0.267292 0.154321i
\(171\) −18.2994 5.04847i −1.39939 0.386066i
\(172\) −5.90431 10.2266i −0.450199 0.779768i
\(173\) −0.692473 + 1.19940i −0.0526477 + 0.0911885i −0.891148 0.453712i \(-0.850099\pi\)
0.838500 + 0.544901i \(0.183433\pi\)
\(174\) 13.0912 + 5.47930i 0.992444 + 0.415384i
\(175\) 4.21100 11.5995i 0.318322 0.876841i
\(176\) 1.99444i 0.150337i
\(177\) 6.25449 4.76265i 0.470116 0.357982i
\(178\) 11.0054 6.35395i 0.824887 0.476249i
\(179\) 2.10201 1.21360i 0.157111 0.0907084i −0.419383 0.907809i \(-0.637754\pi\)
0.576494 + 0.817101i \(0.304420\pi\)
\(180\) 9.02598 2.34719i 0.672757 0.174949i
\(181\) 6.45306i 0.479652i 0.970816 + 0.239826i \(0.0770904\pi\)
−0.970816 + 0.239826i \(0.922910\pi\)
\(182\) 16.9014 2.99461i 1.25282 0.221975i
\(183\) 4.24863 10.1509i 0.314067 0.750376i
\(184\) −0.500000 + 0.866025i −0.0368605 + 0.0638442i
\(185\) 13.8169 + 23.9315i 1.01584 + 1.75948i
\(186\) −1.44112 11.2678i −0.105668 0.826196i
\(187\) −2.23588 1.29089i −0.163504 0.0943990i
\(188\) 13.1463 0.958789
\(189\) 6.47266 12.1287i 0.470817 0.882231i
\(190\) 19.6710 1.42708
\(191\) −2.51983 1.45482i −0.182329 0.105267i 0.406058 0.913847i \(-0.366903\pi\)
−0.588386 + 0.808580i \(0.700237\pi\)
\(192\) −0.219734 1.71806i −0.0158580 0.123990i
\(193\) 0.801651 + 1.38850i 0.0577041 + 0.0999465i 0.893434 0.449194i \(-0.148289\pi\)
−0.835730 + 0.549140i \(0.814955\pi\)
\(194\) −6.63223 + 11.4874i −0.476167 + 0.824745i
\(195\) 13.4872 32.2238i 0.965836 2.30759i
\(196\) −6.57387 + 2.40503i −0.469562 + 0.171788i
\(197\) 11.8363i 0.843305i −0.906758 0.421652i \(-0.861450\pi\)
0.906758 0.421652i \(-0.138550\pi\)
\(198\) 5.79072 1.50587i 0.411529 0.107017i
\(199\) −0.780315 + 0.450515i −0.0553151 + 0.0319362i −0.527402 0.849616i \(-0.676834\pi\)
0.472087 + 0.881552i \(0.343501\pi\)
\(200\) −4.03929 + 2.33209i −0.285621 + 0.164903i
\(201\) −4.66370 + 3.55130i −0.328952 + 0.250489i
\(202\) 8.25049i 0.580503i
\(203\) −16.5949 + 13.9482i −1.16473 + 0.978970i
\(204\) 2.06826 + 0.865664i 0.144807 + 0.0606086i
\(205\) 5.68144 9.84054i 0.396809 0.687293i
\(206\) −4.81628 8.34204i −0.335566 0.581218i
\(207\) 2.89196 + 0.797840i 0.201005 + 0.0554537i
\(208\) −5.61845 3.24382i −0.389570 0.224918i
\(209\) 12.6202 0.872955
\(210\) −3.12322 + 13.8994i −0.215523 + 0.959149i
\(211\) 2.76824 0.190574 0.0952868 0.995450i \(-0.469623\pi\)
0.0952868 + 0.995450i \(0.469623\pi\)
\(212\) −4.17500 2.41044i −0.286740 0.165550i
\(213\) 8.05090 1.02969i 0.551639 0.0705530i
\(214\) −6.37981 11.0502i −0.436115 0.755373i
\(215\) 18.3549 31.7916i 1.25179 2.16817i
\(216\) −4.82235 + 1.93517i −0.328120 + 0.131672i
\(217\) 16.3105 + 5.92125i 1.10723 + 0.401960i
\(218\) 2.40212i 0.162692i
\(219\) 7.24146 + 9.50977i 0.489333 + 0.642611i
\(220\) −5.36950 + 3.10008i −0.362012 + 0.209008i
\(221\) 7.27300 4.19907i 0.489235 0.282460i
\(222\) −9.32752 12.2493i −0.626022 0.822117i
\(223\) 3.79006i 0.253801i −0.991915 0.126901i \(-0.959497\pi\)
0.991915 0.126901i \(-0.0405030\pi\)
\(224\) 2.48694 + 0.902841i 0.166166 + 0.0603236i
\(225\) 9.82085 + 9.96701i 0.654723 + 0.664467i
\(226\) −8.08576 + 14.0049i −0.537857 + 0.931595i
\(227\) 2.51551 + 4.35700i 0.166960 + 0.289184i 0.937350 0.348390i \(-0.113271\pi\)
−0.770389 + 0.637574i \(0.779938\pi\)
\(228\) −10.8713 + 1.39041i −0.719969 + 0.0920820i
\(229\) −10.5270 6.07774i −0.695641 0.401628i 0.110081 0.993923i \(-0.464889\pi\)
−0.805722 + 0.592294i \(0.798222\pi\)
\(230\) −3.10873 −0.204983
\(231\) −2.00374 + 8.91732i −0.131837 + 0.586717i
\(232\) 8.19356 0.537933
\(233\) −5.04028 2.91001i −0.330200 0.190641i 0.325730 0.945463i \(-0.394390\pi\)
−0.655930 + 0.754822i \(0.727723\pi\)
\(234\) −5.17609 + 18.7620i −0.338372 + 1.22651i
\(235\) 20.4340 + 35.3928i 1.33297 + 2.30877i
\(236\) 2.26939 3.93070i 0.147725 0.255867i
\(237\) 6.02870 + 2.52330i 0.391606 + 0.163906i
\(238\) −2.62179 + 2.20365i −0.169945 + 0.142841i
\(239\) 13.9042i 0.899389i 0.893182 + 0.449694i \(0.148467\pi\)
−0.893182 + 0.449694i \(0.851533\pi\)
\(240\) 4.28386 3.26206i 0.276522 0.210565i
\(241\) 3.78332 2.18430i 0.243705 0.140703i −0.373173 0.927762i \(-0.621730\pi\)
0.616879 + 0.787058i \(0.288397\pi\)
\(242\) 6.08141 3.51110i 0.390928 0.225702i
\(243\) 9.25968 + 12.5403i 0.594009 + 0.804459i
\(244\) 6.35325i 0.406725i
\(245\) −16.6931 13.9601i −1.06648 0.891879i
\(246\) −2.44432 + 5.84002i −0.155844 + 0.372346i
\(247\) −20.5258 + 35.5517i −1.30603 + 2.26210i
\(248\) −3.27923 5.67980i −0.208231 0.360667i
\(249\) 0.270946 + 2.11847i 0.0171705 + 0.134252i
\(250\) 0.904130 + 0.522000i 0.0571822 + 0.0330142i
\(251\) 1.60693 0.101428 0.0507141 0.998713i \(-0.483850\pi\)
0.0507141 + 0.998713i \(0.483850\pi\)
\(252\) 0.743616 7.90234i 0.0468434 0.497801i
\(253\) −1.99444 −0.125389
\(254\) 11.1810 + 6.45537i 0.701560 + 0.405046i
\(255\) 0.884255 + 6.91380i 0.0553742 + 0.432959i
\(256\) −0.500000 0.866025i −0.0312500 0.0541266i
\(257\) 9.34142 16.1798i 0.582702 1.00927i −0.412456 0.910978i \(-0.635329\pi\)
0.995158 0.0982916i \(-0.0313378\pi\)
\(258\) −7.89681 + 18.8672i −0.491634 + 1.17462i
\(259\) 23.1576 4.10309i 1.43894 0.254954i
\(260\) 20.1683i 1.25078i
\(261\) −6.18640 23.7894i −0.382929 1.47253i
\(262\) 6.99242 4.03707i 0.431993 0.249411i
\(263\) 6.47870 3.74048i 0.399494 0.230648i −0.286772 0.957999i \(-0.592582\pi\)
0.686266 + 0.727351i \(0.259249\pi\)
\(264\) 2.74836 2.09281i 0.169150 0.128804i
\(265\) 14.9868i 0.920631i
\(266\) 5.71288 15.7365i 0.350279 0.964870i
\(267\) −20.3040 8.49819i −1.24259 0.520081i
\(268\) −1.69218 + 2.93095i −0.103367 + 0.179036i
\(269\) 5.96778 + 10.3365i 0.363862 + 0.630228i 0.988593 0.150613i \(-0.0481246\pi\)
−0.624731 + 0.780840i \(0.714791\pi\)
\(270\) −12.7056 9.97495i −0.773240 0.607056i
\(271\) 17.6388 + 10.1838i 1.07148 + 0.618621i 0.928586 0.371116i \(-0.121025\pi\)
0.142897 + 0.989738i \(0.454358\pi\)
\(272\) 1.29448 0.0784897
\(273\) −21.8617 20.1481i −1.32313 1.21942i
\(274\) 6.13043 0.370353
\(275\) −8.05612 4.65121i −0.485803 0.280478i
\(276\) 1.71806 0.219734i 0.103415 0.0132265i
\(277\) −12.3061 21.3147i −0.739399 1.28068i −0.952766 0.303705i \(-0.901776\pi\)
0.213367 0.976972i \(-0.431557\pi\)
\(278\) 7.55105 13.0788i 0.452882 0.784414i
\(279\) −14.0150 + 13.8095i −0.839055 + 0.826751i
\(280\) 1.43495 + 8.09877i 0.0857546 + 0.483994i
\(281\) 6.54218i 0.390274i 0.980776 + 0.195137i \(0.0625151\pi\)
−0.980776 + 0.195137i \(0.937485\pi\)
\(282\) −13.7947 18.1157i −0.821461 1.07877i
\(283\) 11.1486 6.43666i 0.662717 0.382620i −0.130594 0.991436i \(-0.541689\pi\)
0.793311 + 0.608816i \(0.208355\pi\)
\(284\) 4.05824 2.34303i 0.240812 0.139033i
\(285\) −20.6412 27.1069i −1.22268 1.60567i
\(286\) 12.9392i 0.765111i
\(287\) −6.22230 7.40299i −0.367291 0.436985i
\(288\) −2.13693 + 2.10559i −0.125920 + 0.124073i
\(289\) 7.66215 13.2712i 0.450715 0.780661i
\(290\) 12.7358 + 22.0590i 0.747869 + 1.29535i
\(291\) 22.7891 2.91466i 1.33592 0.170860i
\(292\) 5.97651 + 3.45054i 0.349749 + 0.201927i
\(293\) 11.2638 0.658039 0.329020 0.944323i \(-0.393282\pi\)
0.329020 + 0.944323i \(0.393282\pi\)
\(294\) 10.2123 + 6.53522i 0.595593 + 0.381142i
\(295\) 14.1098 0.821505
\(296\) −7.69817 4.44454i −0.447447 0.258334i
\(297\) −8.15145 6.39955i −0.472995 0.371340i
\(298\) −11.4553 19.8412i −0.663589 1.14937i
\(299\) 3.24382 5.61845i 0.187595 0.324924i
\(300\) 7.45217 + 3.11908i 0.430251 + 0.180080i
\(301\) −20.1022 23.9166i −1.15867 1.37853i
\(302\) 3.01422i 0.173449i
\(303\) −11.3693 + 8.65744i −0.653148 + 0.497357i
\(304\) −5.47992 + 3.16384i −0.314295 + 0.181458i
\(305\) 17.1044 9.87526i 0.979398 0.565456i
\(306\) −0.977378 3.75845i −0.0558730 0.214856i
\(307\) 22.0071i 1.25601i 0.778208 + 0.628006i \(0.216129\pi\)
−0.778208 + 0.628006i \(0.783871\pi\)
\(308\) 0.920609 + 5.19587i 0.0524566 + 0.296062i
\(309\) −6.44161 + 15.3904i −0.366450 + 0.875529i
\(310\) 10.1942 17.6569i 0.578993 1.00285i
\(311\) 1.98522 + 3.43849i 0.112571 + 0.194979i 0.916806 0.399332i \(-0.130758\pi\)
−0.804235 + 0.594311i \(0.797425\pi\)
\(312\) 1.42556 + 11.1461i 0.0807062 + 0.631025i
\(313\) −3.43961 1.98586i −0.194419 0.112248i 0.399631 0.916676i \(-0.369138\pi\)
−0.594049 + 0.804429i \(0.702472\pi\)
\(314\) −24.1066 −1.36042
\(315\) 22.4308 10.2811i 1.26383 0.579275i
\(316\) 3.77325 0.212262
\(317\) −2.45325 1.41638i −0.137788 0.0795520i 0.429521 0.903057i \(-0.358682\pi\)
−0.567309 + 0.823505i \(0.692016\pi\)
\(318\) 1.05931 + 8.28254i 0.0594033 + 0.464462i
\(319\) 8.17078 + 14.1522i 0.457476 + 0.792371i
\(320\) 1.55436 2.69223i 0.0868915 0.150501i
\(321\) −8.53277 + 20.3867i −0.476253 + 1.13787i
\(322\) −0.902841 + 2.48694i −0.0503133 + 0.138592i
\(323\) 8.19108i 0.455764i
\(324\) 7.72690 + 4.61465i 0.429272 + 0.256369i
\(325\) 26.2054 15.1297i 1.45362 0.839245i
\(326\) −1.20443 + 0.695376i −0.0667070 + 0.0385133i
\(327\) −3.31015 + 2.52060i −0.183052 + 0.139389i
\(328\) 3.65516i 0.201822i
\(329\) 34.2483 6.06815i 1.88817 0.334548i
\(330\) 9.90630 + 4.14625i 0.545324 + 0.228244i
\(331\) 15.6155 27.0468i 0.858303 1.48662i −0.0152436 0.999884i \(-0.504852\pi\)
0.873547 0.486741i \(-0.161814\pi\)
\(332\) 0.616530 + 1.06786i 0.0338365 + 0.0586065i
\(333\) −7.09206 + 25.7069i −0.388642 + 1.40873i
\(334\) −13.8982 8.02412i −0.760475 0.439060i
\(335\) −10.5211 −0.574828
\(336\) −1.36548 4.37441i −0.0744931 0.238644i
\(337\) 11.0921 0.604223 0.302111 0.953273i \(-0.402309\pi\)
0.302111 + 0.953273i \(0.402309\pi\)
\(338\) 25.1921 + 14.5447i 1.37027 + 0.791126i
\(339\) 27.7836 3.55344i 1.50900 0.192996i
\(340\) 2.01210 + 3.48506i 0.109121 + 0.189004i
\(341\) 6.54023 11.3280i 0.354173 0.613446i
\(342\) 13.3235 + 13.5218i 0.720453 + 0.731175i
\(343\) −16.0160 + 9.29996i −0.864780 + 0.502150i
\(344\) 11.8086i 0.636678i
\(345\) 3.26206 + 4.28386i 0.175623 + 0.230635i
\(346\) 1.19940 0.692473i 0.0644800 0.0372276i
\(347\) −30.5789 + 17.6547i −1.64156 + 0.947755i −0.661281 + 0.750139i \(0.729987\pi\)
−0.980279 + 0.197617i \(0.936680\pi\)
\(348\) −8.59769 11.2908i −0.460885 0.605252i
\(349\) 2.83688i 0.151855i −0.997113 0.0759274i \(-0.975808\pi\)
0.997113 0.0759274i \(-0.0241917\pi\)
\(350\) −9.44660 + 7.93998i −0.504942 + 0.424410i
\(351\) 31.2857 12.5547i 1.66991 0.670120i
\(352\) 0.997220 1.72724i 0.0531520 0.0920620i
\(353\) 7.35541 + 12.7399i 0.391489 + 0.678078i 0.992646 0.121052i \(-0.0386269\pi\)
−0.601157 + 0.799131i \(0.705294\pi\)
\(354\) −7.79787 + 0.997326i −0.414452 + 0.0530073i
\(355\) 12.6160 + 7.28383i 0.669586 + 0.386585i
\(356\) −12.7079 −0.673518
\(357\) 5.78776 + 1.30052i 0.306321 + 0.0688310i
\(358\) −2.42719 −0.128281
\(359\) 15.0694 + 8.70030i 0.795331 + 0.459184i 0.841836 0.539734i \(-0.181475\pi\)
−0.0465052 + 0.998918i \(0.514808\pi\)
\(360\) −8.99032 2.48026i −0.473831 0.130721i
\(361\) 10.5197 + 18.2207i 0.553669 + 0.958983i
\(362\) 3.22653 5.58851i 0.169583 0.293726i
\(363\) −11.2197 4.69598i −0.588882 0.246475i
\(364\) −16.1344 5.85730i −0.845670 0.307006i
\(365\) 21.4536i 1.12293i
\(366\) −8.75487 + 6.66662i −0.457624 + 0.348470i
\(367\) −14.5887 + 8.42278i −0.761523 + 0.439665i −0.829842 0.557998i \(-0.811570\pi\)
0.0683194 + 0.997664i \(0.478236\pi\)
\(368\) 0.866025 0.500000i 0.0451447 0.0260643i
\(369\) 10.6125 2.75976i 0.552465 0.143668i
\(370\) 27.6337i 1.43661i
\(371\) −11.9892 4.35249i −0.622451 0.225970i
\(372\) −4.38586 + 10.4788i −0.227396 + 0.543299i
\(373\) 1.39406 2.41459i 0.0721819 0.125023i −0.827675 0.561207i \(-0.810337\pi\)
0.899857 + 0.436184i \(0.143670\pi\)
\(374\) 1.29089 + 2.23588i 0.0667501 + 0.115615i
\(375\) −0.229403 1.79365i −0.0118463 0.0926237i
\(376\) −11.3850 6.57313i −0.587136 0.338983i
\(377\) −53.1568 −2.73771
\(378\) −11.6698 + 7.26740i −0.600231 + 0.373795i
\(379\) −14.9368 −0.767250 −0.383625 0.923489i \(-0.625324\pi\)
−0.383625 + 0.923489i \(0.625324\pi\)
\(380\) −17.0356 9.83550i −0.873907 0.504550i
\(381\) −2.83693 22.1814i −0.145340 1.13639i
\(382\) 1.45482 + 2.51983i 0.0744353 + 0.128926i
\(383\) −10.1000 + 17.4938i −0.516088 + 0.893891i 0.483737 + 0.875213i \(0.339279\pi\)
−0.999826 + 0.0186777i \(0.994054\pi\)
\(384\) −0.668732 + 1.59775i −0.0341261 + 0.0815347i
\(385\) −12.5575 + 10.5548i −0.639991 + 0.537920i
\(386\) 1.60330i 0.0816060i
\(387\) 34.2855 8.91589i 1.74283 0.453220i
\(388\) 11.4874 6.63223i 0.583183 0.336701i
\(389\) −7.00882 + 4.04654i −0.355361 + 0.205168i −0.667044 0.745018i \(-0.732441\pi\)
0.311683 + 0.950186i \(0.399107\pi\)
\(390\) −27.7921 + 21.1630i −1.40731 + 1.07163i
\(391\) 1.29448i 0.0654649i
\(392\) 6.89566 + 1.20412i 0.348283 + 0.0608170i
\(393\) −12.9004 5.39944i −0.650741 0.272366i
\(394\) −5.91817 + 10.2506i −0.298153 + 0.516417i
\(395\) 5.86500 + 10.1585i 0.295100 + 0.511129i
\(396\) −5.76785 1.59124i −0.289845 0.0799630i
\(397\) −23.0981 13.3357i −1.15926 0.669299i −0.208133 0.978100i \(-0.566739\pi\)
−0.951127 + 0.308801i \(0.900072\pi\)
\(398\) 0.901030 0.0451646
\(399\) −27.6798 + 8.64031i −1.38572 + 0.432557i
\(400\) 4.66417 0.233209
\(401\) 12.4611 + 7.19441i 0.622277 + 0.359272i 0.777755 0.628567i \(-0.216358\pi\)
−0.155478 + 0.987839i \(0.549692\pi\)
\(402\) 5.81454 0.743663i 0.290003 0.0370905i
\(403\) 21.2744 + 36.8484i 1.05976 + 1.83555i
\(404\) −4.12525 + 7.14514i −0.205239 + 0.355484i
\(405\) −0.413299 + 27.9755i −0.0205370 + 1.39011i
\(406\) 21.3456 3.78205i 1.05937 0.187700i
\(407\) 17.7287i 0.878781i
\(408\) −1.35833 1.78382i −0.0672475 0.0883121i
\(409\) −15.7086 + 9.06934i −0.776738 + 0.448450i −0.835273 0.549835i \(-0.814690\pi\)
0.0585347 + 0.998285i \(0.481357\pi\)
\(410\) −9.84054 + 5.68144i −0.485990 + 0.280586i
\(411\) −6.43281 8.44781i −0.317307 0.416700i
\(412\) 9.63256i 0.474562i
\(413\) 4.09779 11.2877i 0.201639 0.555430i
\(414\) −2.10559 2.13693i −0.103484 0.105024i
\(415\) −1.91662 + 3.31969i −0.0940833 + 0.162957i
\(416\) 3.24382 + 5.61845i 0.159041 + 0.275467i
\(417\) −25.9462 + 3.31845i −1.27059 + 0.162505i
\(418\) −10.9294 6.31008i −0.534573 0.308636i
\(419\) −3.38931 −0.165579 −0.0827894 0.996567i \(-0.526383\pi\)
−0.0827894 + 0.996567i \(0.526383\pi\)
\(420\) 9.65449 10.4756i 0.471091 0.511158i
\(421\) −4.24440 −0.206859 −0.103430 0.994637i \(-0.532982\pi\)
−0.103430 + 0.994637i \(0.532982\pi\)
\(422\) −2.39737 1.38412i −0.116702 0.0673779i
\(423\) −10.4886 + 38.0185i −0.509973 + 1.84852i
\(424\) 2.41044 + 4.17500i 0.117061 + 0.202756i
\(425\) −3.01885 + 5.22880i −0.146436 + 0.253634i
\(426\) −7.48713 3.13372i −0.362753 0.151829i
\(427\) −2.93258 16.5513i −0.141918 0.800975i
\(428\) 12.7596i 0.616760i
\(429\) −17.8304 + 13.5774i −0.860859 + 0.655523i
\(430\) −31.7916 + 18.3549i −1.53313 + 0.885151i
\(431\) 15.4533 8.92199i 0.744361 0.429757i −0.0792917 0.996851i \(-0.525266\pi\)
0.823653 + 0.567094i \(0.191933\pi\)
\(432\) 5.14387 + 0.735269i 0.247484 + 0.0353756i
\(433\) 41.2564i 1.98266i 0.131414 + 0.991328i \(0.458048\pi\)
−0.131414 + 0.991328i \(0.541952\pi\)
\(434\) −11.1647 13.2832i −0.535923 0.637614i
\(435\) 17.0336 40.6971i 0.816700 1.95127i
\(436\) −1.20106 + 2.08029i −0.0575202 + 0.0996280i
\(437\) −3.16384 5.47992i −0.151347 0.262140i
\(438\) −1.51640 11.8564i −0.0724566 0.566522i
\(439\) −19.5752 11.3017i −0.934273 0.539403i −0.0461129 0.998936i \(-0.514683\pi\)
−0.888161 + 0.459533i \(0.848017\pi\)
\(440\) 6.20017 0.295581
\(441\) −1.71038 20.9302i −0.0814464 0.996678i
\(442\) −8.39814 −0.399459
\(443\) 6.79181 + 3.92125i 0.322689 + 0.186304i 0.652590 0.757711i \(-0.273682\pi\)
−0.329902 + 0.944015i \(0.607016\pi\)
\(444\) 1.95324 + 15.2719i 0.0926965 + 0.724774i
\(445\) −19.7527 34.2127i −0.936367 1.62184i
\(446\) −1.89503 + 3.28229i −0.0897324 + 0.155421i
\(447\) −15.3211 + 36.6054i −0.724663 + 1.73138i
\(448\) −1.70233 2.02535i −0.0804277 0.0956890i
\(449\) 26.2500i 1.23882i 0.785069 + 0.619408i \(0.212627\pi\)
−0.785069 + 0.619408i \(0.787373\pi\)
\(450\) −3.52160 13.5421i −0.166010 0.638381i
\(451\) −6.31332 + 3.64500i −0.297283 + 0.171636i
\(452\) 14.0049 8.08576i 0.658737 0.380322i
\(453\) 4.15364 3.16290i 0.195155 0.148606i
\(454\) 5.03103i 0.236118i
\(455\) −9.30943 52.5419i −0.436433 2.46320i
\(456\) 10.1100 + 4.23152i 0.473445 + 0.198159i
\(457\) −13.2829 + 23.0066i −0.621346 + 1.07620i 0.367889 + 0.929870i \(0.380081\pi\)
−0.989235 + 0.146334i \(0.953253\pi\)
\(458\) 6.07774 + 10.5270i 0.283994 + 0.491892i
\(459\) −4.15361 + 5.29067i −0.193874 + 0.246947i
\(460\) 2.69223 + 1.55436i 0.125526 + 0.0724725i
\(461\) −25.9156 −1.20701 −0.603505 0.797359i \(-0.706230\pi\)
−0.603505 + 0.797359i \(0.706230\pi\)
\(462\) 6.19395 6.72076i 0.288169 0.312678i
\(463\) −37.3072 −1.73381 −0.866907 0.498470i \(-0.833895\pi\)
−0.866907 + 0.498470i \(0.833895\pi\)
\(464\) −7.09583 4.09678i −0.329416 0.190188i
\(465\) −35.0285 + 4.48005i −1.62441 + 0.207757i
\(466\) 2.91001 + 5.04028i 0.134804 + 0.233487i
\(467\) −8.97441 + 15.5441i −0.415286 + 0.719297i −0.995458 0.0951970i \(-0.969652\pi\)
0.580172 + 0.814494i \(0.302985\pi\)
\(468\) 13.8636 13.6603i 0.640846 0.631448i
\(469\) −3.05555 + 8.41673i −0.141092 + 0.388648i
\(470\) 40.8681i 1.88510i
\(471\) 25.2957 + 33.2192i 1.16556 + 1.53066i
\(472\) −3.93070 + 2.26939i −0.180925 + 0.104457i
\(473\) −20.3963 + 11.7758i −0.937822 + 0.541452i
\(474\) −3.95936 5.19959i −0.181860 0.238825i
\(475\) 29.5133i 1.35417i
\(476\) 3.37236 0.597519i 0.154572 0.0273872i
\(477\) 10.3019 10.1508i 0.471691 0.464774i
\(478\) 6.95211 12.0414i 0.317982 0.550761i
\(479\) 3.40298 + 5.89414i 0.155486 + 0.269310i 0.933236 0.359264i \(-0.116972\pi\)
−0.777750 + 0.628574i \(0.783639\pi\)
\(480\) −5.34096 + 0.683094i −0.243781 + 0.0311788i
\(481\) 49.9429 + 28.8345i 2.27720 + 1.31474i
\(482\) −4.36861 −0.198985
\(483\) 4.37441 1.36548i 0.199043 0.0621315i
\(484\) −7.02221 −0.319191
\(485\) 35.7111 + 20.6178i 1.62156 + 0.936206i
\(486\) −1.74898 15.4900i −0.0793355 0.702642i
\(487\) −3.37568 5.84685i −0.152967 0.264946i 0.779350 0.626589i \(-0.215549\pi\)
−0.932317 + 0.361643i \(0.882216\pi\)
\(488\) −3.17663 + 5.50208i −0.143799 + 0.249067i
\(489\) 2.22207 + 0.930040i 0.100485 + 0.0420579i
\(490\) 7.47659 + 20.4364i 0.337758 + 0.923221i
\(491\) 23.8666i 1.07709i 0.842598 + 0.538543i \(0.181025\pi\)
−0.842598 + 0.538543i \(0.818975\pi\)
\(492\) 5.03686 3.83544i 0.227079 0.172915i
\(493\) 9.18544 5.30322i 0.413692 0.238845i
\(494\) 35.5517 20.5258i 1.59955 0.923499i
\(495\) −4.68133 18.0018i −0.210410 0.809119i
\(496\) 6.55846i 0.294484i
\(497\) 9.49092 7.97723i 0.425726 0.357828i
\(498\) 0.824587 1.97012i 0.0369506 0.0882831i
\(499\) 3.61222 6.25655i 0.161705 0.280082i −0.773775 0.633460i \(-0.781634\pi\)
0.935480 + 0.353379i \(0.114967\pi\)
\(500\) −0.522000 0.904130i −0.0233445 0.0404339i
\(501\) 3.52635 + 27.5718i 0.157546 + 1.23182i
\(502\) −1.39164 0.803463i −0.0621119 0.0358603i
\(503\) 8.96280 0.399632 0.199816 0.979833i \(-0.435966\pi\)
0.199816 + 0.979833i \(0.435966\pi\)
\(504\) −4.59516 + 6.47182i −0.204685 + 0.288278i
\(505\) −25.6485 −1.14134
\(506\) 1.72724 + 0.997220i 0.0767850 + 0.0443318i
\(507\) −6.39194 49.9772i −0.283876 2.21956i
\(508\) −6.45537 11.1810i −0.286411 0.496078i
\(509\) −3.65664 + 6.33348i −0.162078 + 0.280727i −0.935614 0.353026i \(-0.885153\pi\)
0.773536 + 0.633752i \(0.218486\pi\)
\(510\) 2.69111 6.42965i 0.119164 0.284710i
\(511\) 17.1626 + 6.23057i 0.759228 + 0.275624i
\(512\) 1.00000i 0.0441942i
\(513\) 4.65254 32.5487i 0.205415 1.43706i
\(514\) −16.1798 + 9.34142i −0.713661 + 0.412032i
\(515\) −25.9331 + 14.9725i −1.14275 + 0.659767i
\(516\) 16.2724 12.3911i 0.716354 0.545486i
\(517\) 26.2194i 1.15313i
\(518\) −22.1066 8.02542i −0.971309 0.352617i
\(519\) −2.21279 0.926158i −0.0971308 0.0406538i
\(520\) −10.0841 + 17.4662i −0.442218 + 0.765945i
\(521\) 10.3728 + 17.9662i 0.454439 + 0.787112i 0.998656 0.0518329i \(-0.0165063\pi\)
−0.544217 + 0.838945i \(0.683173\pi\)
\(522\) −6.53714 + 23.6955i −0.286123 + 1.03712i
\(523\) 20.0141 + 11.5552i 0.875158 + 0.505272i 0.869059 0.494709i \(-0.164725\pi\)
0.00609886 + 0.999981i \(0.498059\pi\)
\(524\) −8.07415 −0.352721
\(525\) 20.8539 + 4.68593i 0.910140 + 0.204511i
\(526\) −7.48096 −0.326185
\(527\) −7.35241 4.24492i −0.320276 0.184911i
\(528\) −3.42656 + 0.438247i −0.149122 + 0.0190723i
\(529\) 0.500000 + 0.866025i 0.0217391 + 0.0376533i
\(530\) −7.49339 + 12.9789i −0.325492 + 0.563769i
\(531\) 9.55682 + 9.69905i 0.414731 + 0.420903i
\(532\) −12.8158 + 10.7718i −0.555634 + 0.467017i
\(533\) 23.7133i 1.02714i
\(534\) 13.3347 + 17.5117i 0.577049 + 0.757803i
\(535\) −34.3519 + 19.8331i −1.48516 + 0.857459i
\(536\) 2.93095 1.69218i 0.126598 0.0730912i
\(537\) 2.54691 + 3.34470i 0.109907 + 0.144334i
\(538\) 11.9356i 0.514579i
\(539\) 4.79670 + 13.1112i 0.206608 + 0.564739i
\(540\) 6.01592 + 14.9914i 0.258884 + 0.645126i
\(541\) 6.89658 11.9452i 0.296507 0.513565i −0.678827 0.734298i \(-0.737512\pi\)
0.975334 + 0.220733i \(0.0708449\pi\)
\(542\) −10.1838 17.6388i −0.437431 0.757653i
\(543\) −11.0867 + 1.41796i −0.475776 + 0.0608504i
\(544\) −1.12106 0.647242i −0.0480649 0.0277503i
\(545\) −7.46752 −0.319873
\(546\) 8.85874 + 28.3796i 0.379119 + 1.21453i
\(547\) −20.1874 −0.863152 −0.431576 0.902077i \(-0.642042\pi\)
−0.431576 + 0.902077i \(0.642042\pi\)
\(548\) −5.30911 3.06521i −0.226794 0.130939i
\(549\) 18.3734 + 5.06888i 0.784157 + 0.216334i
\(550\) 4.65121 + 8.05612i 0.198328 + 0.343514i
\(551\) −25.9231 + 44.9001i −1.10436 + 1.91281i
\(552\) −1.59775 0.668732i −0.0680046 0.0284631i
\(553\) 9.82998 1.74169i 0.418013 0.0740641i
\(554\) 24.6121i 1.04567i
\(555\) −38.0796 + 28.9967i −1.61639 + 1.23084i
\(556\) −13.0788 + 7.55105i −0.554664 + 0.320236i
\(557\) 9.43697 5.44844i 0.399857 0.230858i −0.286565 0.958061i \(-0.592513\pi\)
0.686422 + 0.727203i \(0.259180\pi\)
\(558\) 19.0421 4.95185i 0.806115 0.209629i
\(559\) 76.6100i 3.24026i
\(560\) 2.80668 7.73122i 0.118604 0.326704i
\(561\) 1.72652 4.12502i 0.0728935 0.174159i
\(562\) 3.27109 5.66569i 0.137983 0.238993i
\(563\) −17.3319 30.0198i −0.730454 1.26518i −0.956689 0.291111i \(-0.905975\pi\)
0.226236 0.974073i \(-0.427358\pi\)
\(564\) 2.88868 + 22.5860i 0.121636 + 0.951042i
\(565\) 43.5375 + 25.1364i 1.83164 + 1.05750i
\(566\) −12.8733 −0.541106
\(567\) 22.2600 + 8.45531i 0.934832 + 0.355090i
\(568\) −4.68605 −0.196622
\(569\) −37.6403 21.7316i −1.57796 0.911038i −0.995143 0.0984367i \(-0.968616\pi\)
−0.582820 0.812601i \(-0.698051\pi\)
\(570\) 4.32240 + 33.7959i 0.181045 + 1.41555i
\(571\) 6.58120 + 11.3990i 0.275415 + 0.477032i 0.970240 0.242147i \(-0.0778515\pi\)
−0.694825 + 0.719179i \(0.744518\pi\)
\(572\) −6.46960 + 11.2057i −0.270507 + 0.468533i
\(573\) 1.94578 4.64889i 0.0812860 0.194210i
\(574\) 1.68718 + 9.52233i 0.0704214 + 0.397454i
\(575\) 4.66417i 0.194509i
\(576\) 2.90343 0.755032i 0.120976 0.0314597i
\(577\) 8.44900 4.87803i 0.351736 0.203075i −0.313713 0.949518i \(-0.601573\pi\)
0.665450 + 0.746443i \(0.268240\pi\)
\(578\) −13.2712 + 7.66215i −0.552011 + 0.318704i
\(579\) −2.20937 + 1.68238i −0.0918184 + 0.0699175i
\(580\) 25.4715i 1.05765i
\(581\) 2.09908 + 2.49738i 0.0870845 + 0.103609i
\(582\) −21.1933 8.87038i −0.878489 0.367689i
\(583\) −4.80748 + 8.32679i −0.199105 + 0.344861i
\(584\) −3.45054 5.97651i −0.142784 0.247310i
\(585\) 58.3259 + 16.0910i 2.41148 + 0.665283i
\(586\) −9.75475 5.63191i −0.402965 0.232652i
\(587\) 18.5816 0.766945 0.383472 0.923552i \(-0.374728\pi\)
0.383472 + 0.923552i \(0.374728\pi\)
\(588\) −5.57649 10.7658i −0.229971 0.443975i
\(589\) 41.4998 1.70997
\(590\) −12.2195 7.05490i −0.503067 0.290446i
\(591\) 20.3355 2.60085i 0.836491 0.106985i
\(592\) 4.44454 + 7.69817i 0.182669 + 0.316393i
\(593\) 11.8647 20.5503i 0.487226 0.843900i −0.512666 0.858588i \(-0.671342\pi\)
0.999892 + 0.0146880i \(0.00467552\pi\)
\(594\) 3.85959 + 9.61790i 0.158361 + 0.394627i
\(595\) 6.85053 + 8.15042i 0.280844 + 0.334135i
\(596\) 22.9107i 0.938457i
\(597\) −0.945472 1.24163i −0.0386956 0.0508166i
\(598\) −5.61845 + 3.24382i −0.229756 + 0.132649i
\(599\) 3.96766 2.29073i 0.162114 0.0935968i −0.416748 0.909022i \(-0.636830\pi\)
0.578862 + 0.815425i \(0.303497\pi\)
\(600\) −4.89423 6.42729i −0.199806 0.262393i
\(601\) 9.95917i 0.406243i −0.979154 0.203122i \(-0.934891\pi\)
0.979154 0.203122i \(-0.0651087\pi\)
\(602\) 5.45072 + 30.7635i 0.222155 + 1.25383i
\(603\) −7.12611 7.23216i −0.290197 0.294516i
\(604\) 1.50711 2.61039i 0.0613235 0.106215i
\(605\) −10.9151 18.9054i −0.443760 0.768615i
\(606\) 14.1748 1.81292i 0.575812 0.0736448i
\(607\) 2.16886 + 1.25219i 0.0880313 + 0.0508249i 0.543369 0.839494i \(-0.317148\pi\)
−0.455338 + 0.890319i \(0.650482\pi\)
\(608\) 6.32767 0.256621
\(609\) −27.6102 25.4460i −1.11882 1.03112i
\(610\) −19.7505 −0.799675
\(611\) 73.8616 + 42.6440i 2.98812 + 1.72519i
\(612\) −1.03279 + 3.74360i −0.0417481 + 0.151326i
\(613\) 15.3189 + 26.5331i 0.618725 + 1.07166i 0.989719 + 0.143028i \(0.0456839\pi\)
−0.370993 + 0.928636i \(0.620983\pi\)
\(614\) 11.0036 19.0587i 0.444067 0.769147i
\(615\) 18.1550 + 7.59873i 0.732081 + 0.306410i
\(616\) 1.80066 4.96006i 0.0725507 0.199846i
\(617\) 9.17976i 0.369563i 0.982780 + 0.184782i \(0.0591577\pi\)
−0.982780 + 0.184782i \(0.940842\pi\)
\(618\) 13.2738 10.1077i 0.533950 0.406590i
\(619\) 4.26226 2.46082i 0.171315 0.0989086i −0.411891 0.911233i \(-0.635132\pi\)
0.583206 + 0.812325i \(0.301798\pi\)
\(620\) −17.6569 + 10.1942i −0.709119 + 0.409410i
\(621\) −0.735269 + 5.14387i −0.0295053 + 0.206416i
\(622\) 3.97043i 0.159200i
\(623\) −33.1063 + 5.86581i −1.32638 + 0.235009i
\(624\) 4.33849 10.3656i 0.173679 0.414956i
\(625\) 13.2832 23.0071i 0.531327 0.920286i
\(626\) 1.98586 + 3.43961i 0.0793710 + 0.137475i
\(627\) 2.77308 + 21.6821i 0.110746 + 0.865901i
\(628\) 20.8770 + 12.0533i 0.833081 + 0.480980i
\(629\) −11.5068 −0.458805
\(630\) −24.5662 2.31170i −0.978741 0.0921003i
\(631\) 22.4133 0.892260 0.446130 0.894968i \(-0.352802\pi\)
0.446130 + 0.894968i \(0.352802\pi\)
\(632\) −3.26773 1.88663i −0.129983 0.0750460i
\(633\) 0.608278 + 4.75599i 0.0241769 + 0.189034i
\(634\) 1.41638 + 2.45325i 0.0562517 + 0.0974309i
\(635\) 20.0680 34.7587i 0.796373 1.37936i
\(636\) 3.22388 7.70255i 0.127835 0.305426i
\(637\) −44.7365 7.81186i −1.77252 0.309517i
\(638\) 16.3416i 0.646969i
\(639\) 3.53812 + 13.6056i 0.139966 + 0.538231i
\(640\) −2.69223 + 1.55436i −0.106420 + 0.0614416i
\(641\) 28.9408 16.7090i 1.14309 0.659966i 0.195900 0.980624i \(-0.437237\pi\)
0.947195 + 0.320658i \(0.103904\pi\)
\(642\) 17.5829 13.3890i 0.693943 0.528421i
\(643\) 26.8559i 1.05909i −0.848281 0.529547i \(-0.822362\pi\)
0.848281 0.529547i \(-0.177638\pi\)
\(644\) 2.02535 1.70233i 0.0798101 0.0670814i
\(645\) 58.6529 + 24.5490i 2.30946 + 0.966616i
\(646\) −4.09554 + 7.09368i −0.161137 + 0.279097i
\(647\) −17.2303 29.8437i −0.677393 1.17328i −0.975763 0.218829i \(-0.929776\pi\)
0.298371 0.954450i \(-0.403557\pi\)
\(648\) −4.38437 7.85985i −0.172234 0.308764i
\(649\) −7.83954 4.52616i −0.307729 0.177667i
\(650\) −30.2594 −1.18687
\(651\) −6.58905 + 29.3235i −0.258245 + 1.14928i
\(652\) 1.39075 0.0544660
\(653\) −8.06083 4.65392i −0.315445 0.182122i 0.333916 0.942603i \(-0.391630\pi\)
−0.649360 + 0.760481i \(0.724963\pi\)
\(654\) 4.12697 0.527828i 0.161377 0.0206397i
\(655\) −12.5501 21.7375i −0.490375 0.849354i
\(656\) 1.82758 3.16546i 0.0713550 0.123590i
\(657\) −14.7471 + 14.5309i −0.575340 + 0.566903i
\(658\) −32.6940 11.8690i −1.27454 0.462701i
\(659\) 33.9879i 1.32398i 0.749513 + 0.661990i \(0.230288\pi\)
−0.749513 + 0.661990i \(0.769712\pi\)
\(660\) −6.50598 8.54391i −0.253245 0.332571i
\(661\) 33.5935 19.3952i 1.30663 0.754386i 0.325101 0.945679i \(-0.394602\pi\)
0.981533 + 0.191294i \(0.0612683\pi\)
\(662\) −27.0468 + 15.6155i −1.05120 + 0.606912i
\(663\) 8.81237 + 11.5727i 0.342244 + 0.449448i
\(664\) 1.23306i 0.0478520i
\(665\) −48.9206 17.7598i −1.89706 0.688694i
\(666\) 18.9953 18.7168i 0.736055 0.725261i
\(667\) 4.09678 7.09583i 0.158628 0.274752i
\(668\) 8.02412 + 13.8982i 0.310462 + 0.537737i
\(669\) 6.51154 0.832808i 0.251751 0.0321982i
\(670\) 9.11152 + 5.26054i 0.352009 + 0.203232i
\(671\) −12.6712 −0.489166
\(672\) −1.00466 + 4.47109i −0.0387558 + 0.172476i
\(673\) −22.2914 −0.859272 −0.429636 0.903002i \(-0.641358\pi\)
−0.429636 + 0.903002i \(0.641358\pi\)
\(674\) −9.60600 5.54603i −0.370009 0.213625i
\(675\) −14.9659 + 19.0629i −0.576038 + 0.733730i
\(676\) −14.5447 25.1921i −0.559411 0.968928i
\(677\) −2.06071 + 3.56925i −0.0791993 + 0.137177i −0.902905 0.429841i \(-0.858570\pi\)
0.823705 + 0.567018i \(0.191903\pi\)
\(678\) −25.8380 10.8144i −0.992303 0.415325i
\(679\) 26.8652 22.5806i 1.03099 0.866562i
\(680\) 4.02420i 0.154321i
\(681\) −6.93282 + 5.27917i −0.265666 + 0.202298i
\(682\) −11.3280 + 6.54023i −0.433772 + 0.250438i
\(683\) 9.05324 5.22689i 0.346413 0.200001i −0.316692 0.948529i \(-0.602572\pi\)
0.663104 + 0.748527i \(0.269239\pi\)
\(684\) −4.77760 18.3720i −0.182676 0.702470i
\(685\) 19.0578i 0.728162i
\(686\) 18.5202 0.0460198i 0.707105 0.00175704i
\(687\) 8.12876 19.4214i 0.310132 0.740972i
\(688\) 5.90431 10.2266i 0.225100 0.389884i
\(689\) −15.6380 27.0859i −0.595762 1.03189i
\(690\) −0.683094 5.34096i −0.0260049 0.203327i
\(691\) −19.0981 11.0263i −0.726524 0.419459i 0.0906249 0.995885i \(-0.471114\pi\)
−0.817149 + 0.576426i \(0.804447\pi\)
\(692\) −1.38495 −0.0526477
\(693\) −15.7608 1.48310i −0.598701 0.0563382i
\(694\) 35.3094 1.34033
\(695\) −40.6584 23.4741i −1.54226 0.890424i
\(696\) 1.80041 + 14.0770i 0.0682443 + 0.533587i
\(697\) 2.36577 + 4.09764i 0.0896101 + 0.155209i
\(698\) −1.41844 + 2.45681i −0.0536887 + 0.0929916i
\(699\) 3.89204 9.29892i 0.147210 0.351717i
\(700\) 12.1510 2.15292i 0.459264 0.0813729i
\(701\) 33.5196i 1.26602i −0.774144 0.633010i \(-0.781819\pi\)
0.774144 0.633010i \(-0.218181\pi\)
\(702\) −33.3715 4.77015i −1.25953 0.180038i
\(703\) 48.7115 28.1236i 1.83719 1.06070i
\(704\) −1.72724 + 0.997220i −0.0650976 + 0.0375841i
\(705\) −56.3167 + 42.8838i −2.12101 + 1.61510i
\(706\) 14.7108i 0.553649i
\(707\) −7.44888 + 20.5185i −0.280144 + 0.771677i
\(708\) 7.25182 + 3.03523i 0.272540 + 0.114071i
\(709\) 1.52322 2.63830i 0.0572059 0.0990835i −0.836004 0.548723i \(-0.815114\pi\)
0.893210 + 0.449639i \(0.148448\pi\)
\(710\) −7.28383 12.6160i −0.273357 0.473468i
\(711\) −3.01045 + 10.9121i −0.112901 + 0.409236i
\(712\) 11.0054 + 6.35395i 0.412444 + 0.238124i
\(713\) −6.55846 −0.245616
\(714\) −4.36209 4.02017i −0.163247 0.150451i
\(715\) −40.2244 −1.50431
\(716\) 2.10201 + 1.21360i 0.0785557 + 0.0453542i
\(717\) −23.8882 + 3.05524i −0.892122 + 0.114100i
\(718\) −8.70030 15.0694i −0.324692 0.562384i
\(719\) −16.3054 + 28.2418i −0.608090 + 1.05324i 0.383465 + 0.923555i \(0.374731\pi\)
−0.991555 + 0.129687i \(0.958603\pi\)
\(720\) 6.54571 + 6.64313i 0.243944 + 0.247575i
\(721\) 4.44627 + 25.0945i 0.165588 + 0.934568i
\(722\) 21.0394i 0.783006i
\(723\) 4.58408 + 6.02000i 0.170484 + 0.223886i
\(724\) −5.58851 + 3.22653i −0.207695 + 0.119913i
\(725\) 33.0962 19.1081i 1.22916 0.709656i
\(726\) 7.36857 + 9.67669i 0.273473 + 0.359136i
\(727\) 1.02185i 0.0378983i 0.999820 + 0.0189492i \(0.00603206\pi\)
−0.999820 + 0.0189492i \(0.993968\pi\)
\(728\) 11.0441 + 13.1397i 0.409322 + 0.486992i
\(729\) −19.5102 + 18.6642i −0.722601 + 0.691266i
\(730\) 10.7268 18.5793i 0.397016 0.687651i
\(731\) 7.64304 + 13.2381i 0.282688 + 0.489630i
\(732\) 10.9152 1.39603i 0.403439 0.0515987i
\(733\) 7.26953 + 4.19707i 0.268506 + 0.155022i 0.628209 0.778045i \(-0.283788\pi\)
−0.359702 + 0.933067i \(0.617122\pi\)
\(734\) 16.8456 0.621781
\(735\) 20.3162 31.7472i 0.749375 1.17101i
\(736\) −1.00000 −0.0368605
\(737\) 5.84560 + 3.37496i 0.215326 + 0.124318i
\(738\) −10.5706 2.91623i −0.389109 0.107348i
\(739\) −10.1910 17.6513i −0.374882 0.649314i 0.615428 0.788193i \(-0.288983\pi\)
−0.990309 + 0.138879i \(0.955650\pi\)
\(740\) −13.8169 + 23.9315i −0.507918 + 0.879739i
\(741\) −65.5901 27.4525i −2.40951 1.00849i
\(742\) 8.20675 + 9.76398i 0.301279 + 0.358447i
\(743\) 9.63815i 0.353589i −0.984248 0.176795i \(-0.943427\pi\)
0.984248 0.176795i \(-0.0565728\pi\)
\(744\) 9.03765 6.88195i 0.331336 0.252305i
\(745\) −61.6809 + 35.6115i −2.25981 + 1.30470i
\(746\) −2.41459 + 1.39406i −0.0884044 + 0.0510403i
\(747\) −3.58011 + 0.931000i −0.130989 + 0.0340635i
\(748\) 2.58177i 0.0943990i
\(749\) 5.88969 + 33.2410i 0.215204 + 1.21460i
\(750\) −0.698156 + 1.66805i −0.0254931 + 0.0609085i
\(751\) 1.28976 2.23394i 0.0470642 0.0815175i −0.841534 0.540205i \(-0.818347\pi\)
0.888598 + 0.458687i \(0.151680\pi\)
\(752\) 6.57313 + 11.3850i 0.239697 + 0.415168i
\(753\) 0.353097 + 2.76079i 0.0128676 + 0.100609i
\(754\) 46.0351 + 26.5784i 1.67650 + 0.967928i
\(755\) 9.37039 0.341024
\(756\) 13.7401 0.458843i 0.499721 0.0166880i
\(757\) 28.5971 1.03938 0.519690 0.854355i \(-0.326048\pi\)
0.519690 + 0.854355i \(0.326048\pi\)
\(758\) 12.9356 + 7.46838i 0.469843 + 0.271264i
\(759\) −0.438247 3.42656i −0.0159074 0.124376i
\(760\) 9.83550 + 17.0356i 0.356771 + 0.617945i
\(761\) 12.9688 22.4626i 0.470118 0.814269i −0.529298 0.848436i \(-0.677545\pi\)
0.999416 + 0.0341674i \(0.0108780\pi\)
\(762\) −8.63383 + 20.6281i −0.312770 + 0.747277i
\(763\) −2.16873 + 5.97392i −0.0785132 + 0.216271i
\(764\) 2.90965i 0.105267i
\(765\) −11.6840 + 3.03840i −0.422436 + 0.109854i
\(766\) 17.4938 10.1000i 0.632076 0.364929i
\(767\) 25.5009 14.7230i 0.920784 0.531615i
\(768\) 1.37801 1.04932i 0.0497248 0.0378642i
\(769\) 0.297200i 0.0107173i 0.999986 + 0.00535865i \(0.00170572\pi\)
−0.999986 + 0.00535865i \(0.998294\pi\)
\(770\) 16.1525 2.86192i 0.582096 0.103136i