Properties

Label 966.2.l.d.47.17
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 47.17
Character \(\chi\) \(=\) 966.47
Dual form 966.2.l.d.185.17

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.866025 + 0.500000i) q^{2} +(-1.37801 - 1.04932i) q^{3} +(0.500000 + 0.866025i) q^{4} +(1.55436 - 2.69223i) q^{5} +(-0.668732 - 1.59775i) q^{6} +(1.70233 + 2.02535i) q^{7} +1.00000i q^{8} +(0.797840 + 2.89196i) q^{9} +O(q^{10})\) \(q+(0.866025 + 0.500000i) q^{2} +(-1.37801 - 1.04932i) 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} +(0.797840 + 2.89196i) q^{9} +(2.69223 - 1.55436i) q^{10} +(-1.72724 + 0.997220i) q^{11} +(0.219734 - 1.71806i) 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} +(-0.755032 + 2.90343i) q^{18} +(5.47992 + 3.16384i) q^{19} +3.10873 q^{20} +(-0.220587 - 4.57726i) q^{21} -1.99444 q^{22} +(0.866025 + 0.500000i) q^{23} +(1.04932 - 1.37801i) 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} +(-5.34096 - 0.683094i) q^{30} +(5.67980 - 3.27923i) q^{31} +(-0.866025 + 0.500000i) q^{32} +(3.42656 + 0.438247i) 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} +(6.80763 - 8.94004i) q^{39} +(2.69223 + 1.55436i) q^{40} +3.65516 q^{41} +(2.09760 - 4.07432i) q^{42} -11.8086 q^{43} +(-1.72724 - 0.997220i) q^{44} +(9.02598 + 2.34719i) 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} +(0.284443 - 2.22400i) q^{51} +(-5.61845 + 3.24382i) q^{52} +(4.17500 - 2.41044i) q^{53} +(4.08709 - 3.20870i) 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} +(-4.28386 - 3.26206i) q^{60} +(-5.50208 - 3.17663i) q^{61} +6.55846 q^{62} +(-4.49906 + 6.53900i) q^{63} -1.00000 q^{64} +(17.4662 + 10.0841i) q^{65} +(2.74836 + 2.09281i) 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} +(-2.89196 + 0.797840i) q^{72} +(5.97651 - 3.45054i) q^{73} +(7.69817 - 4.44454i) q^{74} +(-1.02488 + 8.01331i) 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} +(-7.72690 + 4.61465i) q^{81} +(3.16546 + 1.82758i) q^{82} -1.23306 q^{83} +(3.85373 - 2.47967i) q^{84} +4.02420 q^{85} +(-10.2266 - 5.90431i) q^{86} +(-8.59769 + 11.2908i) 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} +(-11.2678 - 1.44112i) q^{93} +(-11.3850 + 6.57313i) q^{94} +(17.0356 - 9.83550i) q^{95} +(1.71806 + 0.219734i) 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
\(3\) −1.37801 1.04932i −0.795596 0.605827i
\(4\) 0.500000 + 0.866025i 0.250000 + 0.433013i
\(5\) 1.55436 2.69223i 0.695132 1.20400i −0.275004 0.961443i \(-0.588679\pi\)
0.970136 0.242561i \(-0.0779874\pi\)
\(6\) −0.668732 1.59775i −0.273009 0.652278i
\(7\) 1.70233 + 2.02535i 0.643422 + 0.765512i
\(8\) 1.00000i 0.353553i
\(9\) 0.797840 + 2.89196i 0.265947 + 0.963988i
\(10\) 2.69223 1.55436i 0.851359 0.491533i
\(11\) −1.72724 + 0.997220i −0.520781 + 0.300673i −0.737254 0.675615i \(-0.763878\pi\)
0.216473 + 0.976289i \(0.430545\pi\)
\(12\) 0.219734 1.71806i 0.0634319 0.495960i
\(13\) 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 0.933778 0.357853i \(-0.116491\pi\)
−0.776799 + 0.629749i \(0.783158\pi\)
\(18\) −0.755032 + 2.90343i −0.177963 + 0.684346i
\(19\) 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
\(21\) −0.220587 4.57726i −0.0481360 0.998841i
\(22\) −1.99444 −0.425216
\(23\) 0.866025 + 0.500000i 0.180579 + 0.104257i
\(24\) 1.04932 1.37801i 0.214192 0.281286i
\(25\) −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 \(-0.724830\pi\)
0.649042 0.760753i \(-0.275170\pi\)
\(30\) −5.34096 0.683094i −0.975122 0.124715i
\(31\) 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
\(33\) 3.42656 + 0.438247i 0.596488 + 0.0762891i
\(34\) 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
\(39\) 6.80763 8.94004i 1.09009 1.43155i
\(40\) 2.69223 + 1.55436i 0.425680 + 0.245766i
\(41\) 3.65516 0.570840 0.285420 0.958403i \(-0.407867\pi\)
0.285420 + 0.958403i \(0.407867\pi\)
\(42\) 2.09760 4.07432i 0.323666 0.628681i
\(43\) −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
\(45\) 9.02598 + 2.34719i 1.34551 + 0.349898i
\(46\) 0.500000 + 0.866025i 0.0737210 + 0.127688i
\(47\) −6.57313 + 11.3850i −0.958789 + 1.66067i −0.233340 + 0.972395i \(0.574965\pi\)
−0.725449 + 0.688276i \(0.758368\pi\)
\(48\) 1.59775 0.668732i 0.230615 0.0965232i
\(49\) −1.20412 + 6.89566i −0.172017 + 0.985094i
\(50\) 4.66417i 0.659613i
\(51\) 0.284443 2.22400i 0.0398300 0.311422i
\(52\) −5.61845 + 3.24382i −0.779139 + 0.449836i
\(53\) 4.17500 2.41044i 0.573481 0.331099i −0.185058 0.982728i \(-0.559247\pi\)
0.758538 + 0.651628i \(0.225914\pi\)
\(54\) 4.08709 3.20870i 0.556182 0.436648i
\(55\) 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 0.975089 0.221813i \(-0.0711974\pi\)
−0.679640 + 0.733546i \(0.737864\pi\)
\(60\) −4.28386 3.26206i −0.553044 0.421130i
\(61\) −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
\(63\) −4.49906 + 6.53900i −0.566828 + 0.823836i
\(64\) −1.00000 −0.125000
\(65\) 17.4662 + 10.0841i 2.16642 + 1.25078i
\(66\) 2.74836 + 2.09281i 0.338300 + 0.257608i
\(67\) 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 \(0.0896935\pi\)
−0.960562 + 0.278066i \(0.910307\pi\)
\(72\) −2.89196 + 0.797840i −0.340821 + 0.0940263i
\(73\) 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
\(75\) −1.02488 + 8.01331i −0.118343 + 0.925297i
\(76\) 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
\(81\) −7.72690 + 4.61465i −0.858545 + 0.512738i
\(82\) 3.16546 + 1.82758i 0.349567 + 0.201822i
\(83\) −1.23306 −0.135346 −0.0676730 0.997708i \(-0.521557\pi\)
−0.0676730 + 0.997708i \(0.521557\pi\)
\(84\) 3.85373 2.47967i 0.420477 0.270554i
\(85\) 4.02420 0.436486
\(86\) −10.2266 5.90431i −1.10276 0.636678i
\(87\) −8.59769 + 11.2908i −0.921770 + 1.21050i
\(88\) −0.997220 1.72724i −0.106304 0.184124i
\(89\) 6.35395 11.0054i 0.673518 1.16657i −0.303382 0.952869i \(-0.598116\pi\)
0.976900 0.213698i \(-0.0685507\pi\)
\(90\) 6.64313 + 6.54571i 0.700247 + 0.689979i
\(91\) −13.1397 + 11.0441i −1.37742 + 1.15774i
\(92\) 1.00000i 0.104257i
\(93\) −11.2678 1.44112i −1.16842 0.149437i
\(94\) −11.3850 + 6.57313i −1.17427 + 0.677966i
\(95\) 17.0356 9.83550i 1.74781 1.00910i
\(96\) 1.71806 + 0.219734i 0.175348 + 0.0224266i
\(97\) 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 0.584465 0.811419i \(-0.301305\pi\)
−0.994942 + 0.100452i \(0.967971\pi\)
\(102\) 1.35833 1.78382i 0.134495 0.176624i
\(103\) 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
\(105\) −12.6659 6.52085i −1.23607 0.636370i
\(106\) 4.82088 0.468245
\(107\) −11.0502 6.37981i −1.06826 0.616760i −0.140554 0.990073i \(-0.544888\pi\)
−0.927705 + 0.373314i \(0.878222\pi\)
\(108\) 5.14387 0.735269i 0.494969 0.0707513i
\(109\) 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 \(0.275117\pi\)
−0.649169 + 0.760644i \(0.724883\pi\)
\(114\) 1.39041 10.8713i 0.130224 1.01819i
\(115\) 2.69223 1.55436i 0.251052 0.144945i
\(116\) 7.09583 4.09678i 0.658831 0.380376i
\(117\) −18.7620 + 5.17609i −1.73455 + 0.478530i
\(118\) 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
\(123\) −5.03686 3.83544i −0.454158 0.345830i
\(124\) 5.67980 + 3.27923i 0.510061 + 0.294484i
\(125\) 1.04400 0.0933782
\(126\) −7.16580 + 3.41341i −0.638380 + 0.304090i
\(127\) −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
\(129\) 16.2724 + 12.3911i 1.43271 + 1.09097i
\(130\) 10.0841 + 17.4662i 0.884437 + 1.53189i
\(131\) 4.03707 6.99242i 0.352721 0.610930i −0.634004 0.773329i \(-0.718590\pi\)
0.986725 + 0.162399i \(0.0519232\pi\)
\(132\) 1.33375 + 3.18661i 0.116088 + 0.277359i
\(133\) 2.92078 + 16.4847i 0.253263 + 1.42940i
\(134\) 3.38437i 0.292365i
\(135\) −9.97495 12.7056i −0.858507 1.09353i
\(136\) −1.12106 + 0.647242i −0.0961298 + 0.0555006i
\(137\) 5.30911 3.06521i 0.453588 0.261879i −0.255757 0.966741i \(-0.582325\pi\)
0.709344 + 0.704862i \(0.248991\pi\)
\(138\) 0.219734 1.71806i 0.0187050 0.146251i
\(139\) 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
\(144\) −2.90343 0.755032i −0.241953 0.0629194i
\(145\) −22.0590 12.7358i −1.83190 1.05765i
\(146\) 6.90108 0.571137
\(147\) 8.89507 8.23880i 0.733653 0.679525i
\(148\) 8.88908 0.730678
\(149\) −19.8412 11.4553i −1.62545 0.938457i −0.985426 0.170106i \(-0.945589\pi\)
−0.640029 0.768351i \(-0.721078\pi\)
\(150\) −4.89423 + 6.42729i −0.399612 + 0.524786i
\(151\) −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
\(156\) 11.1461 + 1.42556i 0.892403 + 0.114136i
\(157\) 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
\(159\) −8.28254 1.05931i −0.656848 0.0840090i
\(160\) 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
\(165\) 6.50598 8.54391i 0.506490 0.665142i
\(166\) −1.06786 0.616530i −0.0828821 0.0478520i
\(167\) −16.0482 −1.24185 −0.620925 0.783870i \(-0.713243\pi\)
−0.620925 + 0.783870i \(0.713243\pi\)
\(168\) 4.57726 0.220587i 0.353144 0.0170187i
\(169\) −29.0894 −2.23764
\(170\) 3.48506 + 2.01210i 0.267292 + 0.154321i
\(171\) −4.77760 + 18.3720i −0.365352 + 1.40494i
\(172\) −5.90431 10.2266i −0.450199 0.779768i
\(173\) 0.692473 1.19940i 0.0526477 0.0911885i −0.838500 0.544901i \(-0.816567\pi\)
0.891148 + 0.453712i \(0.149901\pi\)
\(174\) −13.0912 + 5.47930i −0.992444 + 0.415384i
\(175\) 4.21100 11.5995i 0.318322 0.876841i
\(176\) 1.99444i 0.150337i
\(177\) 0.997326 7.79787i 0.0749636 0.586124i
\(178\) 11.0054 6.35395i 0.824887 0.476249i
\(179\) −2.10201 + 1.21360i −0.157111 + 0.0907084i −0.576494 0.817101i \(-0.695580\pi\)
0.419383 + 0.907809i \(0.362246\pi\)
\(180\) 2.48026 + 8.99032i 0.184868 + 0.670099i
\(181\) 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
\(186\) −9.03765 6.88195i −0.662672 0.504609i
\(187\) −2.23588 1.29089i −0.163504 0.0943990i
\(188\) −13.1463 −0.958789
\(189\) 13.0613 4.28985i 0.950069 0.312041i
\(190\) 19.6710 1.42708
\(191\) 2.51983 + 1.45482i 0.182329 + 0.105267i 0.588386 0.808580i \(-0.299763\pi\)
−0.406058 + 0.913847i \(0.633097\pi\)
\(192\) 1.37801 + 1.04932i 0.0994495 + 0.0757284i
\(193\) 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 \(0.138550\pi\)
−0.906758 + 0.421652i \(0.861450\pi\)
\(198\) −1.59124 5.76785i −0.113085 0.409903i
\(199\) −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
\(201\) 0.743663 5.81454i 0.0524539 0.410126i
\(202\) 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
\(207\) −0.755032 + 2.90343i −0.0524784 + 0.201803i
\(208\) −5.61845 3.24382i −0.389570 0.224918i
\(209\) −12.6202 −0.872955
\(210\) −7.70860 11.9802i −0.531944 0.826712i
\(211\) 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
\(213\) 4.91719 6.45744i 0.336920 0.442457i
\(214\) −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
\(219\) −11.8564 1.51640i −0.801184 0.102469i
\(220\) −5.36950 + 3.10008i −0.362012 + 0.209008i
\(221\) −7.27300 + 4.19907i −0.489235 + 0.282460i
\(222\) −15.2719 1.95324i −1.02499 0.131093i
\(223\) 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 0.770389 0.637574i \(-0.220062\pi\)
−0.937350 + 0.348390i \(0.886729\pi\)
\(228\) 6.63978 8.71961i 0.439730 0.577470i
\(229\) −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
\(231\) 4.94554 + 7.68604i 0.325393 + 0.505704i
\(232\) 8.19356 0.537933
\(233\) 5.04028 + 2.91001i 0.330200 + 0.190641i 0.655930 0.754822i \(-0.272277\pi\)
−0.325730 + 0.945463i \(0.605610\pi\)
\(234\) −18.8364 4.89837i −1.23137 0.320217i
\(235\) 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 \(-0.851533\pi\)
0.893182 0.449694i \(-0.148467\pi\)
\(240\) 0.683094 5.34096i 0.0440935 0.344758i
\(241\) 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
\(243\) 15.4900 + 1.74898i 0.993686 + 0.112197i
\(244\) 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
\(249\) 1.69917 + 1.29388i 0.107681 + 0.0819963i
\(250\) 0.904130 + 0.522000i 0.0571822 + 0.0330142i
\(251\) −1.60693 −0.101428 −0.0507141 0.998713i \(-0.516150\pi\)
−0.0507141 + 0.998713i \(0.516150\pi\)
\(252\) −7.91247 0.626802i −0.498439 0.0394848i
\(253\) −1.99444 −0.125389
\(254\) −11.1810 6.45537i −0.701560 0.405046i
\(255\) −5.54540 4.22269i −0.347266 0.264435i
\(256\) −0.500000 0.866025i −0.0312500 0.0541266i
\(257\) −9.34142 + 16.1798i −0.582702 + 1.00927i 0.412456 + 0.910978i \(0.364671\pi\)
−0.995158 + 0.0982916i \(0.968662\pi\)
\(258\) 7.89681 + 18.8672i 0.491634 + 1.17462i
\(259\) 23.1576 4.10309i 1.43894 0.254954i
\(260\) 20.1683i 1.25078i
\(261\) 23.6955 6.53714i 1.46671 0.404639i
\(262\) 6.99242 4.03707i 0.431993 0.249411i
\(263\) −6.47870 + 3.74048i −0.399494 + 0.230648i −0.686266 0.727351i \(-0.740751\pi\)
0.286772 + 0.957999i \(0.407418\pi\)
\(264\) −0.438247 + 3.42656i −0.0269723 + 0.210890i
\(265\) 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 0.624731 0.780840i \(-0.285209\pi\)
−0.988593 + 0.150613i \(0.951875\pi\)
\(270\) −2.28575 15.9909i −0.139106 0.973173i
\(271\) 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
\(273\) 29.6956 1.43109i 1.79726 0.0866134i
\(274\) 6.13043 0.370353
\(275\) 8.05612 + 4.65121i 0.485803 + 0.280478i
\(276\) 1.04932 1.37801i 0.0631619 0.0829466i
\(277\) −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 \(-0.937485\pi\)
0.980776 0.195137i \(-0.0625151\pi\)
\(282\) 22.5860 + 2.88868i 1.34498 + 0.172019i
\(283\) 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
\(285\) −33.7959 4.32240i −2.00189 0.256037i
\(286\) 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
\(291\) −13.9187 + 18.2786i −0.815930 + 1.07151i
\(292\) 5.97651 + 3.45054i 0.349749 + 0.201927i
\(293\) −11.2638 −0.658039 −0.329020 0.944323i \(-0.606718\pi\)
−0.329020 + 0.944323i \(0.606718\pi\)
\(294\) 11.8228 2.68748i 0.689517 0.156737i
\(295\) 14.1098 0.821505
\(296\) 7.69817 + 4.44454i 0.447447 + 0.258334i
\(297\) 1.46645 + 10.2591i 0.0850921 + 0.595296i
\(298\) −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
\(303\) −1.81292 + 14.1748i −0.104149 + 0.814322i
\(304\) −5.47992 + 3.16384i −0.314295 + 0.181458i
\(305\) −17.1044 + 9.87526i −0.979398 + 0.565456i
\(306\) −3.74360 + 1.03279i −0.214008 + 0.0590407i
\(307\) 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 0.804235 0.594311i \(-0.202575\pi\)
−0.916806 + 0.399332i \(0.869242\pi\)
\(312\) 8.94004 + 6.80763i 0.506130 + 0.385406i
\(313\) −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
\(315\) 10.6113 + 22.2765i 0.597881 + 1.25514i
\(316\) 3.77325 0.212262
\(317\) 2.45325 + 1.41638i 0.137788 + 0.0795520i 0.567309 0.823505i \(-0.307984\pi\)
−0.429521 + 0.903057i \(0.641318\pi\)
\(318\) −6.64323 5.05866i −0.372534 0.283676i
\(319\) 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
\(324\) −7.85985 4.38437i −0.436658 0.243576i
\(325\) 26.2054 15.1297i 1.45362 0.839245i
\(326\) 1.20443 0.695376i 0.0667070 0.0385133i
\(327\) 0.527828 4.12697i 0.0291889 0.228222i
\(328\) 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
\(333\) 25.8089 + 6.71154i 1.41432 + 0.367790i
\(334\) −13.8982 8.02412i −0.760475 0.439060i
\(335\) 10.5211 0.574828
\(336\) 4.07432 + 2.09760i 0.222272 + 0.114433i
\(337\) 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
\(339\) 16.9692 22.2846i 0.921638 1.21033i
\(340\) 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
\(345\) −5.34096 0.683094i −0.287548 0.0367766i
\(346\) 1.19940 0.692473i 0.0644800 0.0372276i
\(347\) 30.5789 17.6547i 1.64156 0.947755i 0.661281 0.750139i \(-0.270013\pi\)
0.980279 0.197617i \(-0.0633201\pi\)
\(348\) −14.0770 1.80041i −0.754606 0.0965120i
\(349\) 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 0.601157 0.799131i \(-0.294706\pi\)
−0.992646 + 0.121052i \(0.961373\pi\)
\(354\) 4.76265 6.25449i 0.253132 0.332423i
\(355\) 12.6160 + 7.28383i 0.669586 + 0.386585i
\(356\) 12.7079 0.673518
\(357\) 4.98860 3.20989i 0.264025 0.169885i
\(358\) −2.42719 −0.128281
\(359\) −15.0694 8.70030i −0.795331 0.459184i 0.0465052 0.998918i \(-0.485192\pi\)
−0.841836 + 0.539734i \(0.818525\pi\)
\(360\) −2.34719 + 9.02598i −0.123708 + 0.475711i
\(361\) 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
\(366\) −1.39603 + 10.9152i −0.0729716 + 0.570549i
\(367\) −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
\(369\) 2.91623 + 10.5706i 0.151813 + 0.550283i
\(370\) 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
\(375\) −1.43864 1.09549i −0.0742913 0.0565710i
\(376\) −11.3850 6.57313i −0.587136 0.338983i
\(377\) 53.1568 2.73771
\(378\) 13.4563 + 2.81552i 0.692119 + 0.144815i
\(379\) −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
\(381\) 17.7912 + 13.5475i 0.911469 + 0.694061i
\(382\) 1.45482 + 2.51983i 0.0744353 + 0.128926i
\(383\) 10.1000 17.4938i 0.516088 0.893891i −0.483737 0.875213i \(-0.660721\pi\)
0.999826 0.0186777i \(-0.00594565\pi\)
\(384\) 0.668732 + 1.59775i 0.0341261 + 0.0815347i
\(385\) −12.5575 + 10.5548i −0.639991 + 0.537920i
\(386\) 1.60330i 0.0816060i
\(387\) −9.42139 34.1501i −0.478916 1.73595i
\(388\) 11.4874 6.63223i 0.583183 0.336701i
\(389\) 7.00882 4.04654i 0.355361 0.205168i −0.311683 0.950186i \(-0.600893\pi\)
0.667044 + 0.745018i \(0.267559\pi\)
\(390\) 4.43166 34.6502i 0.224406 1.75458i
\(391\) 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
\(396\) 1.50587 5.79072i 0.0756727 0.290995i
\(397\) −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
\(399\) 13.2729 25.7810i 0.664477 1.29066i
\(400\) 4.66417 0.233209
\(401\) −12.4611 7.19441i −0.622277 0.359272i 0.155478 0.987839i \(-0.450308\pi\)
−0.777755 + 0.628567i \(0.783642\pi\)
\(402\) 3.55130 4.66370i 0.177123 0.232604i
\(403\) 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
\(408\) 2.22400 + 0.284443i 0.110104 + 0.0140820i
\(409\) −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
\(411\) −10.5324 1.34707i −0.519526 0.0664459i
\(412\) 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
\(417\) 15.8470 20.8109i 0.776030 1.01911i
\(418\) −10.9294 6.31008i −0.534573 0.308636i
\(419\) 3.38931 0.165579 0.0827894 0.996567i \(-0.473617\pi\)
0.0827894 + 0.996567i \(0.473617\pi\)
\(420\) −0.685744 14.2295i −0.0334609 0.694326i
\(421\) −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
\(423\) −38.1693 9.92584i −1.85585 0.482611i
\(424\) 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
\(429\) −2.84319 + 22.2303i −0.137270 + 1.07329i
\(430\) −31.7916 + 18.3549i −1.53313 + 0.885151i
\(431\) −15.4533 + 8.92199i −0.744361 + 0.429757i −0.823653 0.567094i \(-0.808067\pi\)
0.0792917 + 0.996851i \(0.474734\pi\)
\(432\) 3.20870 + 4.08709i 0.154378 + 0.196640i
\(433\) 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
\(438\) −9.50977 7.24146i −0.454395 0.346011i
\(439\) −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
\(441\) −20.9027 + 2.01937i −0.995366 + 0.0961605i
\(442\) −8.39814 −0.399459
\(443\) −6.79181 3.92125i −0.322689 0.186304i 0.329902 0.944015i \(-0.392984\pi\)
−0.652590 + 0.757711i \(0.726318\pi\)
\(444\) −12.2493 9.32752i −0.581324 0.442665i
\(445\) −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 \(-0.787373\pi\)
0.785069 0.619408i \(-0.212627\pi\)
\(450\) 13.4886 3.72126i 0.635859 0.175422i
\(451\) −6.31332 + 3.64500i −0.297283 + 0.171636i
\(452\) −14.0049 + 8.08576i −0.658737 + 0.380322i
\(453\) −0.662329 + 5.17861i −0.0311189 + 0.243312i
\(454\) 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
\(459\) 6.65866 0.951795i 0.310800 0.0444260i
\(460\) 2.69223 + 1.55436i 0.125526 + 0.0724725i
\(461\) 25.9156 1.20701 0.603505 0.797359i \(-0.293770\pi\)
0.603505 + 0.797359i \(0.293770\pi\)
\(462\) 0.439948 + 9.12908i 0.0204682 + 0.424723i
\(463\) −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
\(465\) −21.3941 + 28.0956i −0.992127 + 1.30290i
\(466\) 2.91001 + 5.04028i 0.134804 + 0.233487i
\(467\) 8.97441 15.5441i 0.415286 0.719297i −0.580172 0.814494i \(-0.697015\pi\)
0.995458 + 0.0951970i \(0.0303481\pi\)
\(468\) −13.8636 13.6603i −0.640846 0.631448i
\(469\) −3.05555 + 8.41673i −0.141092 + 0.388648i
\(470\) 40.8681i 1.88510i
\(471\) −41.4165 5.29706i −1.90837 0.244076i
\(472\) −3.93070 + 2.26939i −0.180925 + 0.104457i
\(473\) 20.3963 11.7758i 0.937822 0.541452i
\(474\) −6.48266 0.829114i −0.297758 0.0380824i
\(475\) 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 0.777750 0.628574i \(-0.216361\pi\)
−0.933236 + 0.359264i \(0.883028\pi\)
\(480\) 3.26206 4.28386i 0.148892 0.195531i
\(481\) 49.9429 + 28.8345i 2.27720 + 1.31474i
\(482\) 4.36861 0.198985
\(483\) 2.09760 4.07432i 0.0954440 0.185388i
\(484\) −7.02221 −0.319191
\(485\) −35.7111 20.6178i −1.62156 0.936206i
\(486\) 12.5403 + 9.25968i 0.568838 + 0.420028i
\(487\) −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 \(-0.818975\pi\)
0.842598 0.538543i \(-0.181025\pi\)
\(492\) 0.803164 6.27977i 0.0362094 0.283114i
\(493\) 9.18544 5.30322i 0.413692 0.238845i
\(494\) −35.5517 + 20.5258i −1.59955 + 0.923499i
\(495\) −17.9307 + 4.94674i −0.805923 + 0.222339i
\(496\) 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
\(501\) 22.1147 + 16.8398i 0.988011 + 0.752346i
\(502\) −1.39164 0.803463i −0.0621119 0.0358603i
\(503\) −8.96280 −0.399632 −0.199816 0.979833i \(-0.564034\pi\)
−0.199816 + 0.979833i \(0.564034\pi\)
\(504\) −6.53900 4.49906i −0.291270 0.200404i
\(505\) −25.6485 −1.14134
\(506\) −1.72724 0.997220i −0.0767850 0.0443318i
\(507\) 40.0855 + 30.5242i 1.78026 + 1.35563i
\(508\) −6.45537 11.1810i −0.286411 0.496078i
\(509\) 3.65664 6.33348i 0.162078 0.280727i −0.773536 0.633752i \(-0.781514\pi\)
0.935614 + 0.353026i \(0.114847\pi\)
\(510\) −2.69111 6.42965i −0.119164 0.284710i
\(511\) 17.1626 + 6.23057i 0.759228 + 0.275624i
\(512\) 1.00000i 0.0441942i
\(513\) 25.8617 20.3036i 1.14182 0.896425i
\(514\) −16.1798 + 9.34142i −0.713661 + 0.412032i
\(515\) 25.9331 14.9725i 1.14275 0.659767i
\(516\) −2.59476 + 20.2879i −0.114228 + 0.893124i
\(517\) 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 0.544217 0.838945i \(-0.316827\pi\)
−0.998656 + 0.0518329i \(0.983494\pi\)
\(522\) 23.7894 + 6.18640i 1.04124 + 0.270771i
\(523\) 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
\(525\) −17.9745 + 11.5656i −0.784470 + 0.504764i
\(526\) −7.48096 −0.326185
\(527\) 7.35241 + 4.24492i 0.320276 + 0.184911i
\(528\) −2.09281 + 2.74836i −0.0910780 + 0.119607i
\(529\) 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
\(534\) −21.8329 2.79236i −0.944802 0.120837i
\(535\) −34.3519 + 19.8331i −1.48516 + 0.857459i
\(536\) −2.93095 + 1.69218i −0.126598 + 0.0730912i
\(537\) 4.17005 + 0.533337i 0.179951 + 0.0230152i
\(538\) 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
\(543\) 6.77135 8.89240i 0.290586 0.381609i
\(544\) −1.12106 0.647242i −0.0480649 0.0277503i
\(545\) 7.46752 0.319873
\(546\) 26.4327 + 13.6084i 1.13121 + 0.582388i
\(547\) −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
\(549\) 4.79691 18.4462i 0.204727 0.787267i
\(550\) 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
\(555\) −6.07208 + 47.4763i −0.257745 + 2.01525i
\(556\) −13.0788 + 7.55105i −0.554664 + 0.320236i
\(557\) −9.43697 + 5.44844i −0.399857 + 0.230858i −0.686422 0.727203i \(-0.740820\pi\)
0.286565 + 0.958061i \(0.407487\pi\)
\(558\) 5.23260 + 18.9668i 0.221514 + 0.802930i
\(559\) 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 \(0.0940247\pi\)
−0.226236 + 0.974073i \(0.572642\pi\)
\(564\) 18.1157 + 13.7947i 0.762809 + 0.580860i
\(565\) 43.5375 + 25.1364i 1.83164 + 1.05750i
\(566\) 12.8733 0.541106
\(567\) −22.5001 7.79405i −0.944914 0.327319i
\(568\) −4.68605 −0.196622
\(569\) 37.6403 + 21.7316i 1.57796 + 0.911038i 0.995143 + 0.0984367i \(0.0313842\pi\)
0.582820 + 0.812601i \(0.301949\pi\)
\(570\) −27.1069 20.6412i −1.13538 0.864566i
\(571\) 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
\(576\) −0.797840 2.89196i −0.0332433 0.120498i
\(577\) 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
\(579\) 0.352301 2.75456i 0.0146411 0.114476i
\(580\) 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
\(585\) −15.2277 + 58.5572i −0.629588 + 2.42104i
\(586\) −9.75475 5.63191i −0.402965 0.232652i
\(587\) −18.5816 −0.766945 −0.383472 0.923552i \(-0.625272\pi\)
−0.383472 + 0.923552i \(0.625272\pi\)
\(588\) 11.5825 + 3.58395i 0.477656 + 0.147800i
\(589\) 41.4998 1.70997
\(590\) 12.2195 + 7.05490i 0.503067 + 0.290446i
\(591\) 12.4202 16.3106i 0.510897 0.670930i
\(592\) 4.44454 + 7.69817i 0.182669 + 0.316393i
\(593\) −11.8647 + 20.5503i −0.487226 + 0.843900i −0.999892 0.0146880i \(-0.995324\pi\)
0.512666 + 0.858588i \(0.328658\pi\)
\(594\) −3.85959 + 9.61790i −0.158361 + 0.394627i
\(595\) 6.85053 + 8.15042i 0.280844 + 0.334135i
\(596\) 22.9107i 0.938457i
\(597\) 1.54802 + 0.197987i 0.0633562 + 0.00810308i
\(598\) −5.61845 + 3.24382i −0.229756 + 0.132649i
\(599\) −3.96766 + 2.29073i −0.162114 + 0.0935968i −0.578862 0.815425i \(-0.696503\pi\)
0.416748 + 0.909022i \(0.363170\pi\)
\(600\) −8.01331 1.02488i −0.327142 0.0418405i
\(601\) 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
\(606\) −8.65744 + 11.3693i −0.351684 + 0.461846i
\(607\) 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
\(609\) −37.5041 + 1.80739i −1.51974 + 0.0732392i
\(610\) −19.7505 −0.799675
\(611\) −73.8616 42.6440i −2.98812 1.72519i
\(612\) −3.75845 0.977378i −0.151926 0.0395082i
\(613\) 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 \(-0.940842\pi\)
0.982780 0.184782i \(-0.0591577\pi\)
\(618\) 2.11661 16.5493i 0.0851424 0.665710i
\(619\) 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
\(621\) 4.08709 3.20870i 0.164009 0.128761i
\(622\) 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
\(627\) 17.3907 + 13.2426i 0.694520 + 0.528860i
\(628\) 20.8770 + 12.0533i 0.833081 + 0.480980i
\(629\) 11.5068 0.458805
\(630\) −1.94855 + 24.5977i −0.0776323 + 0.979995i
\(631\) 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
\(633\) −3.81467 2.90478i −0.151620 0.115455i
\(634\) 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
\(639\) −13.5519 + 3.73872i −0.536105 + 0.147901i
\(640\) −2.69223 + 1.55436i −0.106420 + 0.0614416i
\(641\) −28.9408 + 16.7090i −1.14309 + 0.659966i −0.947195 0.320658i \(-0.896096\pi\)
−0.195900 + 0.980624i \(0.562763\pi\)
\(642\) −2.80373 + 21.9217i −0.110654 + 0.865182i
\(643\) 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 \(0.0702236\pi\)
−0.298371 + 0.954450i \(0.596443\pi\)
\(648\) −4.61465 7.72690i −0.181280 0.303541i
\(649\) −7.83954 4.52616i −0.307729 0.177667i
\(650\) 30.2594 1.18687
\(651\) −16.2628 25.2746i −0.637389 0.990588i
\(652\) 1.39075 0.0544660
\(653\) 8.06083 + 4.65392i 0.315445 + 0.182122i 0.649360 0.760481i \(-0.275037\pi\)
−0.333916 + 0.942603i \(0.608370\pi\)
\(654\) 2.52060 3.31015i 0.0985632 0.129437i
\(655\) −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 \(-0.769712\pi\)
0.749513 0.661990i \(-0.230288\pi\)
\(660\) 10.6522 + 1.36239i 0.414638 + 0.0530310i
\(661\) 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
\(663\) 14.4285 + 1.84536i 0.560356 + 0.0716679i
\(664\) 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
\(669\) −3.97700 + 5.22276i −0.153760 + 0.201923i
\(670\) 9.11152 + 5.26054i 0.352009 + 0.203232i
\(671\) 12.6712 0.489166
\(672\) 2.47967 + 3.85373i 0.0956552 + 0.148661i
\(673\) −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
\(675\) −23.9919 + 3.42942i −0.923448 + 0.131998i
\(676\) −14.5447 25.1921i −0.559411 0.968928i
\(677\) 2.06071 3.56925i 0.0791993 0.137177i −0.823705 0.567018i \(-0.808097\pi\)
0.902905 + 0.429841i \(0.141430\pi\)
\(678\) 25.8380 10.8144i 0.992303 0.415325i
\(679\) 26.8652 22.5806i 1.03099 0.866562i
\(680\) 4.02420i 0.154321i
\(681\) −1.10549 + 8.64358i −0.0423625 + 0.331223i
\(682\) −11.3280 + 6.54023i −0.433772 + 0.250438i
\(683\) −9.05324 + 5.22689i −0.346413 + 0.200001i −0.663104 0.748527i \(-0.730761\pi\)
0.316692 + 0.948529i \(0.397428\pi\)
\(684\) −18.2994 + 5.04847i −0.699695 + 0.193033i
\(685\) 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
\(690\) −4.28386 3.26206i −0.163084 0.124184i
\(691\) −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
\(693\) 1.25012 15.7809i 0.0474881 0.599468i
\(694\) 35.3094 1.34033
\(695\) 40.6584 + 23.4741i 1.54226 + 0.890424i
\(696\) −11.2908 8.59769i −0.427978 0.325895i
\(697\) 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 \(0.218181\pi\)
−0.774144 + 0.633010i \(0.781819\pi\)
\(702\) 20.8168 + 26.5155i 0.785681 + 1.00076i
\(703\) 48.7115 28.1236i 1.83719 1.06070i
\(704\) 1.72724 0.997220i 0.0650976 0.0375841i
\(705\) 8.98013 70.2137i 0.338211 2.64440i
\(706\) 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
\(711\) 10.9554 + 2.84893i 0.410859 + 0.106843i
\(712\) 11.0054 + 6.35395i 0.412444 + 0.238124i
\(713\) 6.55846 0.245616
\(714\) 5.92520 0.285547i 0.221745 0.0106863i
\(715\) −40.2244 −1.50431
\(716\) −2.10201 1.21360i −0.0785557 0.0453542i
\(717\) −14.5900 + 19.1602i −0.544874 + 0.715550i
\(718\) −8.70030 15.0694i −0.324692 0.562384i
\(719\) 16.3054 28.2418i 0.608090 1.05324i −0.383465 0.923555i \(-0.625269\pi\)
0.991555 0.129687i \(-0.0413974\pi\)
\(720\) −6.54571 + 6.64313i −0.243944 + 0.247575i
\(721\) 4.44627 + 25.0945i 0.165588 + 0.934568i
\(722\) 21.0394i 0.783006i
\(723\) −7.50551 0.959934i −0.279133 0.0357003i
\(724\) −5.58851 + 3.22653i −0.207695 + 0.119913i
\(725\) −33.0962 + 19.1081i −1.22916 + 0.709656i
\(726\) 12.0645 + 1.54302i 0.447757 + 0.0572669i
\(727\) 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
\(732\) −6.66662 + 8.75487i −0.246405 + 0.323589i
\(733\) 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
\(735\) −8.35463 36.7537i −0.308165 1.35568i
\(736\) −1.00000 −0.0368605
\(737\) −5.84560 3.37496i −0.215326 0.124318i
\(738\) −2.75976 + 10.6125i −0.101588 + 0.390652i
\(739\) −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 \(0.0565728\pi\)
−0.984248 + 0.176795i \(0.943427\pi\)
\(744\) 1.44112 11.2678i 0.0528340 0.413098i
\(745\) −61.6809 + 35.6115i −2.25981 + 1.30470i
\(746\) 2.41459 1.39406i 0.0884044 0.0510403i
\(747\) −0.983784 3.56597i −0.0359948 0.130472i
\(748\) 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
\(753\) 2.21437 + 1.68619i 0.0806960 + 0.0614480i
\(754\) 46.0351 + 26.5784i 1.67650 + 0.967928i
\(755\) −9.37039 −0.341024
\(756\) 10.2458 + 9.16648i 0.372635 + 0.333382i
\(757\) 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
\(759\) 2.74836 + 2.09281i 0.0997593 + 0.0759643i
\(760\) 9.83550 + 17.0356i 0.356771 + 0.617945i
\(761\) −12.9688 + 22.4626i −0.470118 + 0.814269i −0.999416 0.0341674i \(-0.989122\pi\)
0.529298 + 0.848436i \(0.322455\pi\)
\(762\) 8.63383 + 20.6281i 0.312770 + 0.747277i
\(763\) −2.16873 + 5.97392i −0.0785132 + 0.216271i
\(764\) 2.90965i 0.105267i
\(765\) 3.21066 + 11.6378i 0.116082 + 0.420767i
\(766\) 17.4938 10.1000i 0.632076 0.364929i
\(767\) −25.5009 + 14.7230i −0.920784 + 0.531615i
\(768\) −0.219734 + 1.71806i −0.00792899 + 0.0619950i
\(769\) 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