Properties

Label 552.2.bb.a.13.2
Level $552$
Weight $2$
Character 552.13
Analytic conductor $4.408$
Analytic rank $0$
Dimension $480$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 552 = 2^{3} \cdot 3 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 552.bb (of order \(22\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.40774219157\)
Analytic rank: \(0\)
Dimension: \(480\)
Relative dimension: \(48\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 13.2
Character \(\chi\) \(=\) 552.13
Dual form 552.2.bb.a.85.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.39148 - 0.252579i) q^{2} +(-0.540641 + 0.841254i) q^{3} +(1.87241 + 0.702914i) q^{4} +(-2.13541 - 0.975208i) q^{5} +(0.964771 - 1.03403i) q^{6} +(0.595694 + 0.174912i) q^{7} +(-2.42787 - 1.45102i) q^{8} +(-0.415415 - 0.909632i) q^{9} +O(q^{10})\) \(q+(-1.39148 - 0.252579i) q^{2} +(-0.540641 + 0.841254i) q^{3} +(1.87241 + 0.702914i) q^{4} +(-2.13541 - 0.975208i) q^{5} +(0.964771 - 1.03403i) q^{6} +(0.595694 + 0.174912i) q^{7} +(-2.42787 - 1.45102i) q^{8} +(-0.415415 - 0.909632i) q^{9} +(2.72505 + 1.89634i) q^{10} +(1.11157 + 0.963180i) q^{11} +(-1.60363 + 1.19515i) q^{12} +(0.995277 + 3.38960i) q^{13} +(-0.784715 - 0.393845i) q^{14} +(1.97488 - 1.26918i) q^{15} +(3.01182 + 2.63228i) q^{16} +(-1.11608 - 7.76251i) q^{17} +(0.348286 + 1.37066i) q^{18} +(-6.09868 - 0.876857i) q^{19} +(-3.31287 - 3.32699i) q^{20} +(-0.469202 + 0.406566i) q^{21} +(-1.30344 - 1.62100i) q^{22} +(4.79557 - 0.0498387i) q^{23} +(2.53328 - 1.25797i) q^{24} +(0.334628 + 0.386181i) q^{25} +(-0.528762 - 4.96793i) q^{26} +(0.989821 + 0.142315i) q^{27} +(0.992435 + 0.746228i) q^{28} +(-1.45547 + 0.209266i) q^{29} +(-3.06857 + 1.26722i) q^{30} +(5.62873 - 3.61737i) q^{31} +(-3.52602 - 4.42348i) q^{32} +(-1.41124 + 0.414377i) q^{33} +(-0.407645 + 11.0832i) q^{34} +(-1.10147 - 0.954433i) q^{35} +(-0.138433 - 1.99520i) q^{36} +(9.90037 - 4.52135i) q^{37} +(8.26468 + 2.76052i) q^{38} +(-3.38960 - 0.995277i) q^{39} +(3.76944 + 5.46619i) q^{40} +(-1.33535 + 2.92401i) q^{41} +(0.755573 - 0.447216i) q^{42} +(5.83694 - 9.08245i) q^{43} +(1.40428 + 2.58480i) q^{44} +2.34755i q^{45} +(-6.68551 - 1.14191i) q^{46} +10.8617 q^{47} +(-3.84273 + 1.11059i) q^{48} +(-5.56452 - 3.57610i) q^{49} +(-0.368085 - 0.621882i) q^{50} +(7.13363 + 3.25782i) q^{51} +(-0.519034 + 7.04631i) q^{52} +(-0.599201 + 2.04069i) q^{53} +(-1.34137 - 0.448035i) q^{54} +(-1.43435 - 3.14079i) q^{55} +(-1.19247 - 1.28903i) q^{56} +(4.03485 - 4.65647i) q^{57} +(2.07811 + 0.0764337i) q^{58} +(-2.33650 - 7.95737i) q^{59} +(4.58992 - 0.988251i) q^{60} +(-6.43853 - 10.0186i) q^{61} +(-8.74591 + 3.61178i) q^{62} +(-0.0883552 - 0.614524i) q^{63} +(3.78909 + 7.04576i) q^{64} +(1.18024 - 8.20878i) q^{65} +(2.06837 - 0.220147i) q^{66} +(8.28961 - 7.18298i) q^{67} +(3.36662 - 15.3191i) q^{68} +(-2.55076 + 4.06124i) q^{69} +(1.29161 + 1.60628i) q^{70} +(-5.25834 - 6.06844i) q^{71} +(-0.311319 + 2.81124i) q^{72} +(-1.40007 + 9.73767i) q^{73} +(-14.9181 + 3.79072i) q^{74} +(-0.505790 + 0.0727216i) q^{75} +(-10.8029 - 5.92868i) q^{76} +(0.493684 + 0.768187i) q^{77} +(4.46516 + 2.24104i) q^{78} +(4.20927 - 1.23595i) q^{79} +(-3.86445 - 8.55815i) q^{80} +(-0.654861 + 0.755750i) q^{81} +(2.59665 - 3.73140i) q^{82} +(-1.42948 + 0.652820i) q^{83} +(-1.16432 + 0.431448i) q^{84} +(-5.18677 + 17.6645i) q^{85} +(-10.4160 + 11.1637i) q^{86} +(0.610843 - 1.33756i) q^{87} +(-1.30115 - 3.95138i) q^{88} +(5.06177 + 3.25300i) q^{89} +(0.592941 - 3.26656i) q^{90} +2.19325i q^{91} +(9.01430 + 3.27756i) q^{92} +6.69089i q^{93} +(-15.1138 - 2.74344i) q^{94} +(12.1680 + 7.81992i) q^{95} +(5.62758 - 0.574763i) q^{96} +(-4.42028 + 9.67906i) q^{97} +(6.83964 + 6.38153i) q^{98} +(0.414377 - 1.41124i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 480q + 4q^{2} + 4q^{6} + 8q^{7} + 4q^{8} + 48q^{9} + O(q^{10}) \) \( 480q + 4q^{2} + 4q^{6} + 8q^{7} + 4q^{8} + 48q^{9} - 4q^{10} - 4q^{14} - 8q^{15} - 8q^{16} - 4q^{18} + 20q^{20} + 20q^{22} - 8q^{23} - 4q^{24} + 48q^{25} + 16q^{30} + 16q^{31} + 4q^{32} + 6q^{34} - 22q^{36} + 90q^{38} - 74q^{40} + 90q^{42} - 130q^{44} + 96q^{46} - 88q^{48} - 48q^{49} + 142q^{50} - 142q^{52} + 18q^{54} - 82q^{56} + 22q^{58} + 2q^{60} - 40q^{62} - 8q^{63} + 16q^{66} - 44q^{68} + 16q^{71} - 4q^{72} + 10q^{74} - 138q^{76} - 40q^{79} - 170q^{80} - 48q^{81} - 124q^{82} - 8q^{84} - 216q^{86} - 108q^{88} + 4q^{90} - 198q^{92} - 238q^{94} + 80q^{95} + 4q^{96} - 132q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/552\mathbb{Z}\right)^\times\).

\(n\) \(97\) \(185\) \(277\) \(415\)
\(\chi(n)\) \(e\left(\frac{7}{11}\right)\) \(1\) \(-1\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.39148 0.252579i −0.983922 0.178600i
\(3\) −0.540641 + 0.841254i −0.312139 + 0.485698i
\(4\) 1.87241 + 0.702914i 0.936204 + 0.351457i
\(5\) −2.13541 0.975208i −0.954983 0.436126i −0.123912 0.992293i \(-0.539544\pi\)
−0.831070 + 0.556167i \(0.812271\pi\)
\(6\) 0.964771 1.03403i 0.393866 0.422141i
\(7\) 0.595694 + 0.174912i 0.225151 + 0.0661104i 0.392362 0.919811i \(-0.371658\pi\)
−0.167211 + 0.985921i \(0.553476\pi\)
\(8\) −2.42787 1.45102i −0.858381 0.513012i
\(9\) −0.415415 0.909632i −0.138472 0.303211i
\(10\) 2.72505 + 1.89634i 0.861736 + 0.599674i
\(11\) 1.11157 + 0.963180i 0.335151 + 0.290410i 0.806135 0.591732i \(-0.201556\pi\)
−0.470984 + 0.882142i \(0.656101\pi\)
\(12\) −1.60363 + 1.19515i −0.462928 + 0.345009i
\(13\) 0.995277 + 3.38960i 0.276040 + 0.940106i 0.974487 + 0.224444i \(0.0720567\pi\)
−0.698447 + 0.715662i \(0.746125\pi\)
\(14\) −0.784715 0.393845i −0.209724 0.105260i
\(15\) 1.97488 1.26918i 0.509913 0.327701i
\(16\) 3.01182 + 2.63228i 0.752956 + 0.658071i
\(17\) −1.11608 7.76251i −0.270689 1.88268i −0.441321 0.897349i \(-0.645490\pi\)
0.170632 0.985335i \(-0.445419\pi\)
\(18\) 0.348286 + 1.37066i 0.0820918 + 0.323067i
\(19\) −6.09868 0.876857i −1.39913 0.201165i −0.598885 0.800835i \(-0.704389\pi\)
−0.800247 + 0.599670i \(0.795299\pi\)
\(20\) −3.31287 3.32699i −0.740779 0.743938i
\(21\) −0.469202 + 0.406566i −0.102388 + 0.0887199i
\(22\) −1.30344 1.62100i −0.277895 0.345598i
\(23\) 4.79557 0.0498387i 0.999946 0.0103921i
\(24\) 2.53328 1.25797i 0.517103 0.256783i
\(25\) 0.334628 + 0.386181i 0.0669256 + 0.0772362i
\(26\) −0.528762 4.96793i −0.103699 0.974292i
\(27\) 0.989821 + 0.142315i 0.190491 + 0.0273885i
\(28\) 0.992435 + 0.746228i 0.187553 + 0.141024i
\(29\) −1.45547 + 0.209266i −0.270275 + 0.0388596i −0.276120 0.961123i \(-0.589049\pi\)
0.00584489 + 0.999983i \(0.498140\pi\)
\(30\) −3.06857 + 1.26722i −0.560242 + 0.231362i
\(31\) 5.62873 3.61737i 1.01095 0.649698i 0.0733112 0.997309i \(-0.476643\pi\)
0.937639 + 0.347611i \(0.113007\pi\)
\(32\) −3.52602 4.42348i −0.623318 0.781968i
\(33\) −1.41124 + 0.414377i −0.245665 + 0.0721337i
\(34\) −0.407645 + 11.0832i −0.0699106 + 1.90076i
\(35\) −1.10147 0.954433i −0.186183 0.161329i
\(36\) −0.138433 1.99520i −0.0230722 0.332534i
\(37\) 9.90037 4.52135i 1.62761 0.743305i 0.628215 0.778040i \(-0.283786\pi\)
0.999397 + 0.0347345i \(0.0110585\pi\)
\(38\) 8.26468 + 2.76052i 1.34071 + 0.447816i
\(39\) −3.38960 0.995277i −0.542771 0.159372i
\(40\) 3.76944 + 5.46619i 0.596001 + 0.864280i
\(41\) −1.33535 + 2.92401i −0.208546 + 0.456653i −0.984783 0.173789i \(-0.944399\pi\)
0.776237 + 0.630442i \(0.217126\pi\)
\(42\) 0.755573 0.447216i 0.116587 0.0690069i
\(43\) 5.83694 9.08245i 0.890124 1.38506i −0.0325457 0.999470i \(-0.510361\pi\)
0.922670 0.385590i \(-0.126002\pi\)
\(44\) 1.40428 + 2.58480i 0.211703 + 0.389674i
\(45\) 2.34755i 0.349952i
\(46\) −6.68551 1.14191i −0.985725 0.168365i
\(47\) 10.8617 1.58435 0.792173 0.610297i \(-0.208950\pi\)
0.792173 + 0.610297i \(0.208950\pi\)
\(48\) −3.84273 + 1.11059i −0.554651 + 0.160300i
\(49\) −5.56452 3.57610i −0.794931 0.510871i
\(50\) −0.368085 0.621882i −0.0520551 0.0879473i
\(51\) 7.13363 + 3.25782i 0.998909 + 0.456186i
\(52\) −0.519034 + 7.04631i −0.0719770 + 0.977147i
\(53\) −0.599201 + 2.04069i −0.0823066 + 0.280311i −0.990355 0.138555i \(-0.955754\pi\)
0.908048 + 0.418866i \(0.137572\pi\)
\(54\) −1.34137 0.448035i −0.182537 0.0609699i
\(55\) −1.43435 3.14079i −0.193408 0.423504i
\(56\) −1.19247 1.28903i −0.159350 0.172253i
\(57\) 4.03485 4.65647i 0.534429 0.616764i
\(58\) 2.07811 + 0.0764337i 0.272870 + 0.0100362i
\(59\) −2.33650 7.95737i −0.304186 1.03596i −0.959758 0.280829i \(-0.909391\pi\)
0.655572 0.755133i \(-0.272428\pi\)
\(60\) 4.58992 0.988251i 0.592556 0.127583i
\(61\) −6.43853 10.0186i −0.824370 1.28274i −0.956565 0.291521i \(-0.905839\pi\)
0.132195 0.991224i \(-0.457798\pi\)
\(62\) −8.74591 + 3.61178i −1.11073 + 0.458696i
\(63\) −0.0883552 0.614524i −0.0111317 0.0774227i
\(64\) 3.78909 + 7.04576i 0.473637 + 0.880720i
\(65\) 1.18024 8.20878i 0.146391 1.01817i
\(66\) 2.06837 0.220147i 0.254598 0.0270982i
\(67\) 8.28961 7.18298i 1.01274 0.877541i 0.0202378 0.999795i \(-0.493558\pi\)
0.992499 + 0.122254i \(0.0390122\pi\)
\(68\) 3.36662 15.3191i 0.408262 1.85771i
\(69\) −2.55076 + 4.06124i −0.307075 + 0.488916i
\(70\) 1.29161 + 1.60628i 0.154376 + 0.191987i
\(71\) −5.25834 6.06844i −0.624050 0.720192i 0.352421 0.935842i \(-0.385359\pi\)
−0.976471 + 0.215650i \(0.930813\pi\)
\(72\) −0.311319 + 2.81124i −0.0366893 + 0.331308i
\(73\) −1.40007 + 9.73767i −0.163865 + 1.13971i 0.727396 + 0.686218i \(0.240730\pi\)
−0.891261 + 0.453490i \(0.850179\pi\)
\(74\) −14.9181 + 3.79072i −1.73420 + 0.440663i
\(75\) −0.505790 + 0.0727216i −0.0584036 + 0.00839717i
\(76\) −10.8029 5.92868i −1.23917 0.680066i
\(77\) 0.493684 + 0.768187i 0.0562605 + 0.0875430i
\(78\) 4.46516 + 2.24104i 0.505580 + 0.253748i
\(79\) 4.20927 1.23595i 0.473580 0.139056i −0.0362285 0.999344i \(-0.511534\pi\)
0.509809 + 0.860288i \(0.329716\pi\)
\(80\) −3.86445 8.55815i −0.432058 0.956830i
\(81\) −0.654861 + 0.755750i −0.0727623 + 0.0839722i
\(82\) 2.59665 3.73140i 0.286752 0.412064i
\(83\) −1.42948 + 0.652820i −0.156905 + 0.0716563i −0.492320 0.870414i \(-0.663851\pi\)
0.335414 + 0.942071i \(0.391124\pi\)
\(84\) −1.16432 + 0.431448i −0.127037 + 0.0470749i
\(85\) −5.18677 + 17.6645i −0.562584 + 1.91599i
\(86\) −10.4160 + 11.1637i −1.12318 + 1.20381i
\(87\) 0.610843 1.33756i 0.0654893 0.143401i
\(88\) −1.30115 3.95138i −0.138703 0.421219i
\(89\) 5.06177 + 3.25300i 0.536546 + 0.344817i 0.780687 0.624923i \(-0.214869\pi\)
−0.244141 + 0.969740i \(0.578506\pi\)
\(90\) 0.592941 3.26656i 0.0625015 0.344325i
\(91\) 2.19325i 0.229915i
\(92\) 9.01430 + 3.27756i 0.939806 + 0.341709i
\(93\) 6.69089i 0.693813i
\(94\) −15.1138 2.74344i −1.55887 0.282964i
\(95\) 12.1680 + 7.81992i 1.24841 + 0.802307i
\(96\) 5.62758 0.574763i 0.574362 0.0586615i
\(97\) −4.42028 + 9.67906i −0.448811 + 0.982760i 0.541085 + 0.840968i \(0.318014\pi\)
−0.989896 + 0.141792i \(0.954714\pi\)
\(98\) 6.83964 + 6.38153i 0.690908 + 0.644632i
\(99\) 0.414377 1.41124i 0.0416464 0.141835i
\(100\) 0.355108 + 0.958303i 0.0355108 + 0.0958303i
\(101\) −3.41202 + 1.55822i −0.339509 + 0.155048i −0.577871 0.816128i \(-0.696117\pi\)
0.238363 + 0.971176i \(0.423389\pi\)
\(102\) −9.10342 6.33498i −0.901373 0.627257i
\(103\) 3.67059 4.23609i 0.361674 0.417394i −0.545526 0.838094i \(-0.683670\pi\)
0.907200 + 0.420700i \(0.138215\pi\)
\(104\) 2.50197 9.67367i 0.245338 0.948581i
\(105\) 1.39842 0.410614i 0.136472 0.0400718i
\(106\) 1.34921 2.68823i 0.131047 0.261104i
\(107\) −2.74809 4.27611i −0.265668 0.413387i 0.682632 0.730762i \(-0.260835\pi\)
−0.948300 + 0.317375i \(0.897199\pi\)
\(108\) 1.75331 + 0.962231i 0.168713 + 0.0925907i
\(109\) 0.419233 0.0602766i 0.0401552 0.00577345i −0.122208 0.992505i \(-0.538997\pi\)
0.162363 + 0.986731i \(0.448088\pi\)
\(110\) 1.20257 + 4.73262i 0.114660 + 0.451238i
\(111\) −1.54895 + 10.7732i −0.147019 + 1.02254i
\(112\) 1.33371 + 2.09484i 0.126024 + 0.197944i
\(113\) −1.91539 2.21048i −0.180185 0.207945i 0.658471 0.752606i \(-0.271204\pi\)
−0.838656 + 0.544661i \(0.816658\pi\)
\(114\) −6.79052 + 5.46024i −0.635991 + 0.511399i
\(115\) −10.2891 4.57025i −0.959464 0.426178i
\(116\) −2.87234 0.631242i −0.266690 0.0586094i
\(117\) 2.66984 2.31343i 0.246826 0.213876i
\(118\) 1.24131 + 11.6626i 0.114272 + 1.07363i
\(119\) 0.692910 4.81930i 0.0635190 0.441784i
\(120\) −6.63637 + 0.215813i −0.605815 + 0.0197010i
\(121\) −1.25759 8.74676i −0.114327 0.795160i
\(122\) 6.42859 + 15.5668i 0.582017 + 1.40935i
\(123\) −1.73789 2.70420i −0.156700 0.243830i
\(124\) 13.0820 2.81667i 1.17480 0.252945i
\(125\) 2.96895 + 10.1113i 0.265551 + 0.904382i
\(126\) −0.0322715 + 0.877411i −0.00287497 + 0.0781660i
\(127\) −9.09419 + 10.4953i −0.806979 + 0.931303i −0.998742 0.0501381i \(-0.984034\pi\)
0.191764 + 0.981441i \(0.438579\pi\)
\(128\) −3.49282 10.7610i −0.308725 0.951151i
\(129\) 4.48496 + 9.82069i 0.394878 + 0.864663i
\(130\) −3.71564 + 11.1242i −0.325883 + 0.975658i
\(131\) −5.34139 + 18.1911i −0.466680 + 1.58937i 0.304346 + 0.952562i \(0.401562\pi\)
−0.771026 + 0.636804i \(0.780256\pi\)
\(132\) −2.93368 0.216096i −0.255344 0.0188088i
\(133\) −3.47958 1.58907i −0.301717 0.137790i
\(134\) −13.3491 + 7.90117i −1.15318 + 0.682557i
\(135\) −1.97488 1.26918i −0.169971 0.109234i
\(136\) −8.55384 + 20.4658i −0.733486 + 1.75493i
\(137\) −10.2017 −0.871590 −0.435795 0.900046i \(-0.643533\pi\)
−0.435795 + 0.900046i \(0.643533\pi\)
\(138\) 4.57510 5.00685i 0.389458 0.426211i
\(139\) 10.2347i 0.868093i −0.900890 0.434047i \(-0.857085\pi\)
0.900890 0.434047i \(-0.142915\pi\)
\(140\) −1.39153 2.56133i −0.117605 0.216472i
\(141\) −5.87229 + 9.13747i −0.494536 + 0.769514i
\(142\) 5.78409 + 9.77224i 0.485390 + 0.820068i
\(143\) −2.15848 + 4.72640i −0.180501 + 0.395242i
\(144\) 1.14325 3.83314i 0.0952710 0.319428i
\(145\) 3.31211 + 0.972522i 0.275055 + 0.0807636i
\(146\) 4.40769 13.1961i 0.364783 1.09212i
\(147\) 6.01681 2.74779i 0.496258 0.226633i
\(148\) 21.7157 1.50670i 1.78502 0.123850i
\(149\) 0.253110 + 0.219321i 0.0207356 + 0.0179675i 0.665167 0.746695i \(-0.268360\pi\)
−0.644431 + 0.764662i \(0.722906\pi\)
\(150\) 0.722162 + 0.0265614i 0.0589643 + 0.00216873i
\(151\) −0.632395 + 0.185688i −0.0514636 + 0.0151111i −0.307363 0.951592i \(-0.599447\pi\)
0.255899 + 0.966703i \(0.417628\pi\)
\(152\) 13.5345 + 10.9782i 1.09779 + 0.890448i
\(153\) −6.59739 + 4.23988i −0.533367 + 0.342774i
\(154\) −0.492921 1.19361i −0.0397207 0.0961836i
\(155\) −15.5473 + 2.23537i −1.24879 + 0.179549i
\(156\) −5.64712 4.24616i −0.452132 0.339965i
\(157\) −4.56442 0.656265i −0.364281 0.0523756i −0.0422557 0.999107i \(-0.513454\pi\)
−0.322025 + 0.946731i \(0.604363\pi\)
\(158\) −6.16927 + 0.656627i −0.490801 + 0.0522385i
\(159\) −1.39279 1.60736i −0.110455 0.127472i
\(160\) 3.21568 + 12.8845i 0.254222 + 1.01861i
\(161\) 2.86541 + 0.809113i 0.225826 + 0.0637670i
\(162\) 1.10211 0.886203i 0.0865898 0.0696267i
\(163\) 8.50733 7.37164i 0.666345 0.577392i −0.254617 0.967042i \(-0.581950\pi\)
0.920963 + 0.389650i \(0.127404\pi\)
\(164\) −4.55564 + 4.53630i −0.355736 + 0.354225i
\(165\) 3.41767 + 0.491387i 0.266065 + 0.0382544i
\(166\) 2.15397 0.547328i 0.167180 0.0424809i
\(167\) 1.70479 + 11.8571i 0.131921 + 0.917527i 0.943048 + 0.332658i \(0.107945\pi\)
−0.811127 + 0.584870i \(0.801146\pi\)
\(168\) 1.72909 0.306268i 0.133403 0.0236291i
\(169\) 0.437478 0.281150i 0.0336521 0.0216269i
\(170\) 11.6789 23.2697i 0.895734 1.78470i
\(171\) 1.73586 + 5.91181i 0.132745 + 0.452088i
\(172\) 17.3133 12.9032i 1.32013 0.983859i
\(173\) −2.69176 2.33242i −0.204651 0.177331i 0.546505 0.837456i \(-0.315958\pi\)
−0.751156 + 0.660125i \(0.770503\pi\)
\(174\) −1.18781 + 1.70690i −0.0900478 + 0.129399i
\(175\) 0.131788 + 0.288576i 0.00996227 + 0.0218143i
\(176\) 0.812487 + 5.82689i 0.0612435 + 0.439218i
\(177\) 7.95737 + 2.33650i 0.598113 + 0.175622i
\(178\) −6.22169 5.80496i −0.466335 0.435100i
\(179\) 10.1914 + 4.65424i 0.761739 + 0.347874i 0.758117 0.652119i \(-0.226120\pi\)
0.00362209 + 0.999993i \(0.498847\pi\)
\(180\) −1.65013 + 4.39557i −0.122993 + 0.327627i
\(181\) −10.3766 + 16.1463i −0.771285 + 1.20014i 0.203952 + 0.978981i \(0.434621\pi\)
−0.975237 + 0.221162i \(0.929015\pi\)
\(182\) 0.553969 3.05186i 0.0410629 0.226219i
\(183\) 11.9091 0.880344
\(184\) −11.7153 6.83746i −0.863666 0.504064i
\(185\) −25.5506 −1.87852
\(186\) 1.68997 9.31020i 0.123915 0.682657i
\(187\) 6.23609 9.70354i 0.456028 0.709593i
\(188\) 20.3376 + 7.63486i 1.48327 + 0.556829i
\(189\) 0.564739 + 0.257907i 0.0410787 + 0.0187600i
\(190\) −14.9564 13.9546i −1.08505 1.01237i
\(191\) 10.1830 + 2.98999i 0.736814 + 0.216348i 0.628545 0.777774i \(-0.283651\pi\)
0.108269 + 0.994122i \(0.465469\pi\)
\(192\) −7.97581 0.621637i −0.575605 0.0448628i
\(193\) 2.97388 + 6.51190i 0.214065 + 0.468736i 0.985953 0.167021i \(-0.0534149\pi\)
−0.771888 + 0.635758i \(0.780688\pi\)
\(194\) 8.59543 12.3517i 0.617116 0.886801i
\(195\) 6.26757 + 5.43088i 0.448830 + 0.388914i
\(196\) −7.90536 10.6073i −0.564668 0.757664i
\(197\) −3.21101 10.9357i −0.228775 0.779136i −0.991236 0.132102i \(-0.957827\pi\)
0.762461 0.647034i \(-0.223991\pi\)
\(198\) −0.933044 + 1.85904i −0.0663085 + 0.132116i
\(199\) −20.1739 + 12.9650i −1.43009 + 0.919062i −0.430222 + 0.902723i \(0.641565\pi\)
−0.999867 + 0.0163394i \(0.994799\pi\)
\(200\) −0.252077 1.42315i −0.0178245 0.100632i
\(201\) 1.56101 + 10.8571i 0.110105 + 0.765799i
\(202\) 5.14131 1.30642i 0.361742 0.0919192i
\(203\) −0.903621 0.129921i −0.0634217 0.00911867i
\(204\) 11.0671 + 11.1143i 0.774852 + 0.778157i
\(205\) 5.70302 4.94170i 0.398317 0.345143i
\(206\) −6.17749 + 4.96730i −0.430406 + 0.346088i
\(207\) −2.03749 4.34150i −0.141615 0.301755i
\(208\) −5.92479 + 12.8287i −0.410810 + 0.889512i
\(209\) −5.93453 6.84881i −0.410500 0.473742i
\(210\) −2.04958 + 0.218148i −0.141435 + 0.0150536i
\(211\) −2.22765 0.320288i −0.153358 0.0220496i 0.0652081 0.997872i \(-0.479229\pi\)
−0.218566 + 0.975822i \(0.570138\pi\)
\(212\) −2.55638 + 3.39982i −0.175573 + 0.233501i
\(213\) 7.94797 1.14275i 0.544586 0.0782997i
\(214\) 2.74385 + 6.64421i 0.187565 + 0.454189i
\(215\) −21.3215 + 13.7025i −1.45411 + 0.934503i
\(216\) −2.19666 1.78177i −0.149463 0.121234i
\(217\) 3.98572 1.17031i 0.270569 0.0794461i
\(218\) −0.598577 0.0220159i −0.0405408 0.00149110i
\(219\) −7.43492 6.44239i −0.502405 0.435337i
\(220\) −0.477985 6.88907i −0.0322257 0.464461i
\(221\) 25.2010 11.5089i 1.69520 0.774173i
\(222\) 4.87639 14.5993i 0.327282 0.979844i
\(223\) −3.88153 1.13972i −0.259927 0.0763213i 0.149173 0.988811i \(-0.452339\pi\)
−0.409099 + 0.912490i \(0.634157\pi\)
\(224\) −1.32671 3.25178i −0.0886447 0.217269i
\(225\) 0.212273 0.464814i 0.0141516 0.0309876i
\(226\) 2.10690 + 3.55962i 0.140149 + 0.236783i
\(227\) 7.41332 11.5354i 0.492039 0.765628i −0.503087 0.864236i \(-0.667802\pi\)
0.995126 + 0.0986075i \(0.0314388\pi\)
\(228\) 10.8280 5.88266i 0.717101 0.389588i
\(229\) 29.0333i 1.91858i −0.282429 0.959288i \(-0.591140\pi\)
0.282429 0.959288i \(-0.408860\pi\)
\(230\) 13.1627 + 8.95820i 0.867922 + 0.590686i
\(231\) −0.913146 −0.0600806
\(232\) 3.83735 + 1.60385i 0.251934 + 0.105298i
\(233\) −11.5750 7.43878i −0.758302 0.487331i 0.103467 0.994633i \(-0.467006\pi\)
−0.861768 + 0.507302i \(0.830643\pi\)
\(234\) −4.29933 + 2.54473i −0.281056 + 0.166354i
\(235\) −23.1942 10.5924i −1.51302 0.690975i
\(236\) 1.21848 16.5418i 0.0793160 1.07678i
\(237\) −1.23595 + 4.20927i −0.0802838 + 0.273422i
\(238\) −2.18142 + 6.53092i −0.141400 + 0.423337i
\(239\) 3.92601 + 8.59677i 0.253953 + 0.556079i 0.993074 0.117494i \(-0.0374861\pi\)
−0.739121 + 0.673573i \(0.764759\pi\)
\(240\) 9.28885 + 1.37591i 0.599593 + 0.0888143i
\(241\) 15.8967 18.3457i 1.02399 1.18175i 0.0408034 0.999167i \(-0.487008\pi\)
0.983190 0.182584i \(-0.0584463\pi\)
\(242\) −0.459333 + 12.4885i −0.0295270 + 0.802794i
\(243\) −0.281733 0.959493i −0.0180732 0.0615515i
\(244\) −5.01338 23.2846i −0.320949 1.49064i
\(245\) 8.39507 + 13.0630i 0.536341 + 0.834563i
\(246\) 1.73520 + 4.20179i 0.110632 + 0.267896i
\(247\) −3.09767 21.5448i −0.197100 1.37086i
\(248\) −18.9147 + 0.615101i −1.20108 + 0.0390590i
\(249\) 0.223646 1.55549i 0.0141730 0.0985754i
\(250\) −1.57732 14.8195i −0.0997583 0.937269i
\(251\) −3.89261 + 3.37296i −0.245699 + 0.212900i −0.769001 0.639248i \(-0.779246\pi\)
0.523301 + 0.852148i \(0.324700\pi\)
\(252\) 0.266520 1.21275i 0.0167892 0.0763958i
\(253\) 5.37861 + 4.56360i 0.338150 + 0.286911i
\(254\) 15.3052 12.3069i 0.960335 0.772203i
\(255\) −12.0562 13.9135i −0.754986 0.871300i
\(256\) 2.14217 + 15.8559i 0.133885 + 0.990997i
\(257\) 4.10969 28.5835i 0.256356 1.78299i −0.301916 0.953334i \(-0.597626\pi\)
0.558272 0.829658i \(-0.311465\pi\)
\(258\) −3.76021 14.7980i −0.234101 0.921286i
\(259\) 6.68844 0.961652i 0.415599 0.0597541i
\(260\) 7.97996 14.5406i 0.494896 0.901768i
\(261\) 0.794980 + 1.23701i 0.0492080 + 0.0765692i
\(262\) 12.0271 23.9634i 0.743037 1.48046i
\(263\) 10.3725 3.04563i 0.639594 0.187802i 0.0541737 0.998532i \(-0.482748\pi\)
0.585421 + 0.810730i \(0.300929\pi\)
\(264\) 4.02757 + 1.04168i 0.247880 + 0.0641109i
\(265\) 3.26964 3.77336i 0.200852 0.231796i
\(266\) 4.44038 + 3.09002i 0.272257 + 0.189461i
\(267\) −5.47320 + 2.49952i −0.334954 + 0.152968i
\(268\) 20.5705 7.62260i 1.25655 0.465624i
\(269\) −1.59153 + 5.42025i −0.0970373 + 0.330479i −0.993676 0.112284i \(-0.964183\pi\)
0.896639 + 0.442763i \(0.146002\pi\)
\(270\) 2.42744 + 2.26485i 0.147729 + 0.137834i
\(271\) 0.845584 1.85157i 0.0513655 0.112475i −0.882209 0.470858i \(-0.843944\pi\)
0.933575 + 0.358383i \(0.116672\pi\)
\(272\) 17.0717 26.3171i 1.03512 1.59571i
\(273\) −1.84508 1.18576i −0.111669 0.0717656i
\(274\) 14.1954 + 2.57673i 0.857577 + 0.155666i
\(275\) 0.751574i 0.0453216i
\(276\) −7.63075 + 5.81133i −0.459317 + 0.349801i
\(277\) 0.215028i 0.0129198i −0.999979 0.00645990i \(-0.997944\pi\)
0.999979 0.00645990i \(-0.00205626\pi\)
\(278\) −2.58506 + 14.2413i −0.155042 + 0.854136i
\(279\) −5.62873 3.61737i −0.336983 0.216566i
\(280\) 1.28934 + 3.91550i 0.0770526 + 0.233996i
\(281\) −7.85103 + 17.1914i −0.468353 + 1.02555i 0.517150 + 0.855895i \(0.326993\pi\)
−0.985503 + 0.169656i \(0.945734\pi\)
\(282\) 10.4791 11.2313i 0.624020 0.668817i
\(283\) 0.818725 2.78832i 0.0486681 0.165748i −0.931573 0.363554i \(-0.881563\pi\)
0.980241 + 0.197805i \(0.0633814\pi\)
\(284\) −5.58016 15.0588i −0.331122 0.893573i
\(285\) −13.1571 + 6.00864i −0.779358 + 0.355921i
\(286\) 4.19726 6.03149i 0.248189 0.356650i
\(287\) −1.30690 + 1.50825i −0.0771440 + 0.0890289i
\(288\) −2.55898 + 5.04496i −0.150789 + 0.297277i
\(289\) −42.6995 + 12.5377i −2.51173 + 0.737512i
\(290\) −4.36308 2.18981i −0.256209 0.128590i
\(291\) −5.75276 8.95147i −0.337233 0.524745i
\(292\) −9.46624 + 17.2488i −0.553970 + 1.00941i
\(293\) 11.7355 1.68731i 0.685594 0.0985735i 0.209289 0.977854i \(-0.432885\pi\)
0.476305 + 0.879280i \(0.341976\pi\)
\(294\) −9.06628 + 2.30376i −0.528756 + 0.134358i
\(295\) −2.77072 + 19.2708i −0.161318 + 1.12199i
\(296\) −30.5974 3.38838i −1.77844 0.196945i
\(297\) 0.963180 + 1.11157i 0.0558894 + 0.0644998i
\(298\) −0.296800 0.369110i −0.0171932 0.0213820i
\(299\) 4.94185 + 16.2055i 0.285795 + 0.937187i
\(300\) −0.998162 0.219362i −0.0576289 0.0126649i
\(301\) 5.06566 4.38942i 0.291980 0.253002i
\(302\) 0.926863 0.0986508i 0.0533350 0.00567671i
\(303\) 0.533821 3.71281i 0.0306672 0.213295i
\(304\) −16.0600 18.6944i −0.921105 1.07220i
\(305\) 3.97872 + 27.6726i 0.227821 + 1.58453i
\(306\) 10.2510 4.23334i 0.586011 0.242004i
\(307\) 16.8432 + 26.2085i 0.961292 + 1.49580i 0.865813 + 0.500367i \(0.166802\pi\)
0.0954784 + 0.995431i \(0.469562\pi\)
\(308\) 0.384408 + 1.78538i 0.0219037 + 0.101731i
\(309\) 1.57915 + 5.37810i 0.0898349 + 0.305950i
\(310\) 22.1983 + 0.816462i 1.26078 + 0.0463719i
\(311\) 19.5860 22.6034i 1.11062 1.28172i 0.154744 0.987955i \(-0.450545\pi\)
0.955876 0.293769i \(-0.0949098\pi\)
\(312\) 6.78534 + 7.33477i 0.384144 + 0.415250i
\(313\) −2.52042 5.51896i −0.142463 0.311950i 0.824928 0.565237i \(-0.191215\pi\)
−0.967391 + 0.253287i \(0.918488\pi\)
\(314\) 6.18552 + 2.06605i 0.349069 + 0.116594i
\(315\) −0.410614 + 1.39842i −0.0231355 + 0.0787922i
\(316\) 8.75024 + 0.644546i 0.492240 + 0.0362586i
\(317\) 13.8683 + 6.33345i 0.778923 + 0.355722i 0.764875 0.644179i \(-0.222801\pi\)
0.0140482 + 0.999901i \(0.495528\pi\)
\(318\) 1.53204 + 2.58839i 0.0859128 + 0.145150i
\(319\) −1.81942 1.16927i −0.101868 0.0654665i
\(320\) −1.22018 18.7407i −0.0682100 1.04764i
\(321\) 5.08302 0.283707
\(322\) −3.78279 1.84960i −0.210807 0.103074i
\(323\) 48.3197i 2.68858i
\(324\) −1.75739 + 0.954761i −0.0976330 + 0.0530423i
\(325\) −0.975953 + 1.51861i −0.0541361 + 0.0842374i
\(326\) −13.6997 + 8.10869i −0.758754 + 0.449099i
\(327\) −0.175947 + 0.385269i −0.00972987 + 0.0213054i
\(328\) 7.48484 5.16149i 0.413281 0.284995i
\(329\) 6.47027 + 1.89984i 0.356718 + 0.104742i
\(330\) −4.63149 1.54698i −0.254955 0.0851586i
\(331\) 7.23701 3.30503i 0.397782 0.181661i −0.206472 0.978452i \(-0.566198\pi\)
0.604254 + 0.796791i \(0.293471\pi\)
\(332\) −3.13544 + 0.217547i −0.172080 + 0.0119394i
\(333\) −8.22553 7.12746i −0.450756 0.390582i
\(334\) 0.622670 16.9294i 0.0340710 0.926336i
\(335\) −24.7066 + 7.25451i −1.34986 + 0.396356i
\(336\) −2.48335 0.0105679i −0.135478 0.000576525i
\(337\) 10.7645 6.91794i 0.586381 0.376844i −0.213554 0.976931i \(-0.568504\pi\)
0.799935 + 0.600087i \(0.204867\pi\)
\(338\) −0.679752 + 0.280716i −0.0369736 + 0.0152689i
\(339\) 2.89512 0.416255i 0.157241 0.0226079i
\(340\) −22.1284 + 29.4293i −1.20008 + 1.59603i
\(341\) 9.74090 + 1.40053i 0.527499 + 0.0758429i
\(342\) −0.922216 8.66458i −0.0498677 0.468527i
\(343\) −5.53521 6.38797i −0.298873 0.344918i
\(344\) −27.3501 + 13.5815i −1.47462 + 0.732265i
\(345\) 9.40745 6.18488i 0.506480 0.332983i
\(346\) 3.15640 + 3.92539i 0.169689 + 0.211030i
\(347\) 15.2414 13.2067i 0.818200 0.708974i −0.141519 0.989936i \(-0.545199\pi\)
0.959719 + 0.280961i \(0.0906532\pi\)
\(348\) 2.08394 2.07509i 0.111711 0.111236i
\(349\) −20.9790 3.01632i −1.12298 0.161460i −0.444289 0.895884i \(-0.646544\pi\)
−0.678691 + 0.734424i \(0.737453\pi\)
\(350\) −0.110492 0.434834i −0.00590605 0.0232428i
\(351\) 0.502756 + 3.49674i 0.0268351 + 0.186642i
\(352\) 0.341192 8.31319i 0.0181856 0.443095i
\(353\) −10.9132 + 7.01350i −0.580852 + 0.373291i −0.797827 0.602886i \(-0.794017\pi\)
0.216975 + 0.976177i \(0.430381\pi\)
\(354\) −10.4823 5.26104i −0.557130 0.279621i
\(355\) 5.31070 + 18.0866i 0.281862 + 0.959935i
\(356\) 7.19111 + 9.64893i 0.381128 + 0.511392i
\(357\) 3.67964 + 3.18842i 0.194747 + 0.168749i
\(358\) −13.0055 9.05039i −0.687361 0.478328i
\(359\) 13.4690 + 29.4930i 0.710867 + 1.55658i 0.826278 + 0.563263i \(0.190454\pi\)
−0.115411 + 0.993318i \(0.536818\pi\)
\(360\) 3.40634 5.69954i 0.179530 0.300392i
\(361\) 18.1946 + 5.34242i 0.957612 + 0.281180i
\(362\) 18.5170 19.8462i 0.973230 1.04310i
\(363\) 8.03815 + 3.67090i 0.421893 + 0.192672i
\(364\) −1.54167 + 4.10666i −0.0808053 + 0.215248i
\(365\) 12.4860 19.4285i 0.653545 1.01694i
\(366\) −16.5712 3.00798i −0.866190 0.157230i
\(367\) −4.64816 −0.242632 −0.121316 0.992614i \(-0.538711\pi\)
−0.121316 + 0.992614i \(0.538711\pi\)
\(368\) 14.5746 + 12.4732i 0.759754 + 0.650211i
\(369\) 3.21449 0.167340
\(370\) 35.5530 + 6.45353i 1.84831 + 0.335503i
\(371\) −0.713882 + 1.11082i −0.0370629 + 0.0576710i
\(372\) −4.70312 + 12.5281i −0.243845 + 0.649550i
\(373\) −11.4560 5.23176i −0.593167 0.270890i 0.0961303 0.995369i \(-0.469353\pi\)
−0.689298 + 0.724478i \(0.742081\pi\)
\(374\) −11.1283 + 11.9271i −0.575429 + 0.616738i
\(375\) −10.1113 2.96895i −0.522145 0.153316i
\(376\) −26.3709 15.7606i −1.35997 0.812789i
\(377\) −2.15793 4.72520i −0.111139 0.243360i
\(378\) −0.720678 0.501513i −0.0370677 0.0257950i
\(379\) 1.78484 + 1.54658i 0.0916813 + 0.0794423i 0.699496 0.714637i \(-0.253408\pi\)
−0.607814 + 0.794079i \(0.707954\pi\)
\(380\) 17.2868 + 23.1952i 0.886794 + 1.18989i
\(381\) −3.91248 13.3247i −0.200442 0.682644i
\(382\) −13.4141 6.73250i −0.686327 0.344465i
\(383\) 4.51964 2.90460i 0.230943 0.148418i −0.420052 0.907500i \(-0.637988\pi\)
0.650995 + 0.759082i \(0.274352\pi\)
\(384\) 10.9411 + 2.87951i 0.558337 + 0.146944i
\(385\) −0.305074 2.12184i −0.0155480 0.108139i
\(386\) −2.49332 9.81228i −0.126907 0.499432i
\(387\) −10.6864 1.53648i −0.543222 0.0781036i
\(388\) −15.0801 + 15.0161i −0.765577 + 0.762326i
\(389\) −9.94483 + 8.61724i −0.504223 + 0.436912i −0.869460 0.494003i \(-0.835533\pi\)
0.365237 + 0.930914i \(0.380988\pi\)
\(390\) −7.34945 9.14000i −0.372154 0.462822i
\(391\) −5.73912 37.1700i −0.290240 1.87977i
\(392\) 8.32094 + 16.7565i 0.420271 + 0.846332i
\(393\) −12.4156 14.3283i −0.626283 0.722769i
\(394\) 1.70592 + 16.0278i 0.0859429 + 0.807468i
\(395\) −10.1938 1.46565i −0.512907 0.0737449i
\(396\) 1.76786 2.35114i 0.0888384 0.118149i
\(397\) −14.5173 + 2.08727i −0.728600 + 0.104757i −0.496625 0.867965i \(-0.665428\pi\)
−0.231975 + 0.972722i \(0.574519\pi\)
\(398\) 31.3461 12.9449i 1.57124 0.648871i
\(399\) 3.21801 2.06809i 0.161102 0.103534i
\(400\) −0.00869800 + 2.04395i −0.000434900 + 0.102197i
\(401\) 29.9131 8.78327i 1.49379 0.438615i 0.570039 0.821617i \(-0.306928\pi\)
0.923748 + 0.383002i \(0.125110\pi\)
\(402\) 0.570156 15.5016i 0.0284368 0.773151i
\(403\) 17.8636 + 15.4789i 0.889848 + 0.771058i
\(404\) −7.48398 + 0.519262i −0.372342 + 0.0258343i
\(405\) 2.13541 0.975208i 0.106109 0.0484585i
\(406\) 1.22455 + 0.409017i 0.0607734 + 0.0202992i
\(407\) 15.3598 + 4.51005i 0.761358 + 0.223555i
\(408\) −12.5924 18.2606i −0.623415 0.904034i
\(409\) −14.0812 + 30.8336i −0.696272 + 1.52462i 0.148163 + 0.988963i \(0.452664\pi\)
−0.844434 + 0.535659i \(0.820063\pi\)
\(410\) −9.18379 + 5.43579i −0.453555 + 0.268455i
\(411\) 5.51546 8.58222i 0.272057 0.423330i
\(412\) 9.85045 5.35158i 0.485297 0.263653i
\(413\) 5.14884i 0.253358i
\(414\) 1.73854 + 6.55572i 0.0854448 + 0.322196i
\(415\) 3.68915 0.181093
\(416\) 11.4845 16.3544i 0.563072 0.801840i
\(417\) 8.60995 + 5.53328i 0.421631 + 0.270966i
\(418\) 6.52789 + 11.0289i 0.319289 + 0.539440i
\(419\) −14.6048 6.66978i −0.713490 0.325840i 0.0253896 0.999678i \(-0.491917\pi\)
−0.738879 + 0.673838i \(0.764645\pi\)
\(420\) 2.90704 + 0.214134i 0.141849 + 0.0104487i
\(421\) 4.37112 14.8867i 0.213035 0.725531i −0.781755 0.623586i \(-0.785675\pi\)
0.994790 0.101945i \(-0.0325067\pi\)
\(422\) 3.01883 + 1.00833i 0.146954 + 0.0490848i
\(423\) −4.51213 9.88018i −0.219387 0.480391i
\(424\) 4.41586 4.08508i 0.214453 0.198389i
\(425\) 2.62426 3.02856i 0.127295 0.146907i
\(426\) −11.3480 0.417385i −0.549814 0.0202224i
\(427\) −2.08304 7.09417i −0.100805 0.343311i
\(428\) −2.13981 9.93830i −0.103432 0.480386i
\(429\) −2.80914 4.37111i −0.135627 0.211039i
\(430\) 33.1293 13.6813i 1.59764 0.659773i
\(431\) −0.726529 5.05312i −0.0349957 0.243400i 0.964813 0.262935i \(-0.0846905\pi\)
−0.999809 + 0.0195349i \(0.993781\pi\)
\(432\) 2.60655 + 3.03412i 0.125408 + 0.145979i
\(433\) 2.65884 18.4927i 0.127776 0.888701i −0.820589 0.571519i \(-0.806354\pi\)
0.948365 0.317182i \(-0.102737\pi\)
\(434\) −5.84163 + 0.621755i −0.280407 + 0.0298452i
\(435\) −2.60880 + 2.26054i −0.125082 + 0.108384i
\(436\) 0.827345 + 0.181822i 0.0396226 + 0.00870771i
\(437\) −29.2904 3.90108i −1.40115 0.186614i
\(438\) 8.71830 + 10.8423i 0.416576 + 0.518067i
\(439\) 8.70793 + 10.0495i 0.415607 + 0.479636i 0.924494 0.381198i \(-0.124488\pi\)
−0.508887 + 0.860834i \(0.669943\pi\)
\(440\) −1.07493 + 9.70670i −0.0512451 + 0.462749i
\(441\) −0.941349 + 6.54723i −0.0448262 + 0.311773i
\(442\) −37.9735 + 9.64913i −1.80621 + 0.458962i
\(443\) −9.76279 + 1.40368i −0.463844 + 0.0666907i −0.370275 0.928922i \(-0.620737\pi\)
−0.0935690 + 0.995613i \(0.529828\pi\)
\(444\) −10.4729 + 19.0830i −0.497020 + 0.905637i
\(445\) −7.63658 11.8828i −0.362009 0.563296i
\(446\) 5.11319 + 2.56628i 0.242116 + 0.121517i
\(447\) −0.321346 + 0.0943557i −0.0151991 + 0.00446287i
\(448\) 1.02476 + 4.85988i 0.0484152 + 0.229608i
\(449\) −13.2722 + 15.3169i −0.626352 + 0.722849i −0.976900 0.213696i \(-0.931450\pi\)
0.350548 + 0.936545i \(0.385995\pi\)
\(450\) −0.412775 + 0.593161i −0.0194584 + 0.0279619i
\(451\) −4.30067 + 1.96405i −0.202511 + 0.0924836i
\(452\) −2.03262 5.48529i −0.0956065 0.258006i
\(453\) 0.185688 0.632395i 0.00872438 0.0297125i
\(454\) −13.2290 + 14.1787i −0.620870 + 0.665440i
\(455\) 2.13888 4.68348i 0.100272 0.219565i
\(456\) −16.5527 + 5.45065i −0.775152 + 0.255250i
\(457\) 34.0395 + 21.8759i 1.59230 + 1.02331i 0.970798 + 0.239898i \(0.0771142\pi\)
0.621503 + 0.783411i \(0.286522\pi\)
\(458\) −7.33320 + 40.3992i −0.342658 + 1.88773i
\(459\) 7.84233i 0.366049i
\(460\) −16.0529 15.7897i −0.748470 0.736200i
\(461\) 26.7017i 1.24362i −0.783168 0.621810i \(-0.786398\pi\)
0.783168 0.621810i \(-0.213602\pi\)
\(462\) 1.27062 + 0.230641i 0.0591146 + 0.0107304i
\(463\) −10.1557 6.52668i −0.471976 0.303321i 0.282945 0.959136i \(-0.408689\pi\)
−0.754921 + 0.655816i \(0.772325\pi\)
\(464\) −4.93448 3.20095i −0.229077 0.148600i
\(465\) 6.52500 14.2878i 0.302590 0.662579i
\(466\) 14.2274 + 13.2745i 0.659072 + 0.614928i
\(467\) −4.78709 + 16.3033i −0.221520 + 0.754429i 0.771473 + 0.636261i \(0.219520\pi\)
−0.992994 + 0.118167i \(0.962298\pi\)
\(468\) 6.62516 2.45501i 0.306248 0.113483i
\(469\) 6.19446 2.82892i 0.286034 0.130627i
\(470\) 29.5987 + 20.5975i 1.36529 + 0.950091i
\(471\) 3.01980 3.48503i 0.139145 0.160582i
\(472\) −5.87358 + 22.7098i −0.270354 + 1.04530i
\(473\) 15.2362 4.47375i 0.700561 0.205703i
\(474\) 2.78297 5.54492i 0.127826 0.254687i
\(475\) −1.70216 2.64862i −0.0781005 0.121527i
\(476\) 4.68496 8.53664i 0.214735 0.391276i
\(477\) 2.10520 0.302682i 0.0963903 0.0138588i
\(478\) −3.29159 12.9538i −0.150554 0.592494i
\(479\) −3.15732 + 21.9596i −0.144262 + 1.00336i 0.781135 + 0.624362i \(0.214641\pi\)
−0.925397 + 0.379000i \(0.876268\pi\)
\(480\) −12.5777 4.26070i −0.574090 0.194474i
\(481\) 25.1792 + 29.0583i 1.14807 + 1.32495i
\(482\) −26.7535 + 21.5125i −1.21859 + 0.979866i
\(483\) −2.22983 + 1.97310i −0.101461 + 0.0897791i
\(484\) 3.79349 17.2615i 0.172431 0.784613i
\(485\) 18.8782 16.3580i 0.857214 0.742780i
\(486\) 0.149677 + 1.40627i 0.00678947 + 0.0637897i
\(487\) −0.479482 + 3.33487i −0.0217274 + 0.151117i −0.997797 0.0663409i \(-0.978868\pi\)
0.976070 + 0.217458i \(0.0697766\pi\)
\(488\) 1.09482 + 33.6662i 0.0495600 + 1.52400i
\(489\) 1.60201 + 11.1422i 0.0724454 + 0.503869i
\(490\) −8.38210 20.2972i −0.378665 0.916936i
\(491\) 8.00779 + 12.4604i 0.361387 + 0.562328i 0.973570 0.228387i \(-0.0733451\pi\)
−0.612184 + 0.790715i \(0.709709\pi\)
\(492\) −1.35321 6.28496i −0.0610074 0.283348i
\(493\) 3.24885 + 11.0646i 0.146321 + 0.498323i
\(494\) −1.13142 + 30.7615i −0.0509049 + 1.38402i
\(495\) −2.26111 + 2.60946i −0.101629 + 0.117287i
\(496\) 26.4747 + 3.92155i 1.18875 + 0.176083i
\(497\) −2.07092 4.53468i −0.0928935 0.203408i
\(498\) −0.704082 + 2.10794i −0.0315507 + 0.0944591i
\(499\) −2.39079 + 8.14227i −0.107026 + 0.364498i −0.995539 0.0943545i \(-0.969921\pi\)
0.888512 + 0.458853i \(0.151739\pi\)
\(500\) −1.54830 + 21.0194i −0.0692419 + 0.940016i
\(501\) −10.8965 4.97626i −0.486819 0.222323i
\(502\) 6.26841 3.71021i 0.279773 0.165595i
\(503\) −21.4740 13.8005i −0.957479 0.615335i −0.0341801 0.999416i \(-0.510882\pi\)
−0.923299 + 0.384081i \(0.874518\pi\)
\(504\) −0.677170 + 1.62019i −0.0301635 + 0.0721689i
\(505\) 8.80563 0.391845
\(506\) −6.33154 7.70866i −0.281471 0.342692i
\(507\) 0.520031i 0.0230954i
\(508\) −24.4053 + 13.2590i −1.08281 + 0.588271i
\(509\) 12.1113 18.8455i 0.536822 0.835312i −0.461843 0.886962i \(-0.652812\pi\)
0.998665 + 0.0516497i \(0.0164479\pi\)
\(510\) 13.2616 + 22.4055i 0.587233 + 0.992132i
\(511\) −2.53724 + 5.55579i −0.112241 + 0.245774i
\(512\) 1.02410 22.6042i 0.0452593 0.998975i
\(513\) −5.91181 1.73586i −0.261013 0.0766403i
\(514\) −12.9381 + 38.7353i −0.570676 + 1.70854i
\(515\) −11.9693 + 5.46618i −0.527429 + 0.240869i
\(516\) 1.49457 + 21.5409i 0.0657949 + 0.948284i
\(517\) 12.0736 + 10.4618i 0.530994 + 0.460109i
\(518\) −9.54969 0.351241i −0.419589 0.0154326i
\(519\) 3.41743 1.00345i 0.150009 0.0440465i
\(520\) −14.7766 + 18.2173i −0.647995 + 0.798881i
\(521\) −2.17750 + 1.39940i −0.0953982 + 0.0613087i −0.587470 0.809246i \(-0.699876\pi\)
0.492072 + 0.870555i \(0.336240\pi\)
\(522\) −0.793752 1.92207i −0.0347416 0.0841267i
\(523\) −2.60895 + 0.375111i −0.114082 + 0.0164025i −0.199119 0.979975i \(-0.563808\pi\)
0.0850375 + 0.996378i \(0.472899\pi\)
\(524\) −22.7881 + 30.3067i −0.995501 + 1.32395i
\(525\) −0.314016 0.0451487i −0.0137048 0.00197045i
\(526\) −15.2023 + 1.61806i −0.662852 + 0.0705507i
\(527\) −34.3619 39.6558i −1.49683 1.72743i
\(528\) −5.34116 2.46675i −0.232444 0.107351i
\(529\) 22.9950 0.478010i 0.999784 0.0207831i
\(530\) −5.50269 + 4.42470i −0.239022 + 0.192197i
\(531\) −6.26767 + 5.43096i −0.271994 + 0.235684i
\(532\) −5.39821 5.42123i −0.234042 0.235040i
\(533\) −11.2403 1.61610i −0.486869 0.0700013i
\(534\) 8.24714 2.09562i 0.356889 0.0906861i
\(535\) 1.69819 + 11.8112i 0.0734193 + 0.510643i
\(536\) −30.5487 + 5.41098i −1.31950 + 0.233719i
\(537\) −9.42527 + 6.05725i −0.406730 + 0.261390i
\(538\) 3.58361 7.14016i 0.154501 0.307834i
\(539\) −2.74092 9.33471i −0.118060 0.402074i
\(540\) −2.80566 3.76460i −0.120737 0.162003i
\(541\) 23.5737 + 20.4267i 1.01351 + 0.878213i 0.992583 0.121568i \(-0.0387922\pi\)
0.0209289 + 0.999781i \(0.493338\pi\)
\(542\) −1.64428 + 2.36284i −0.0706277 + 0.101493i
\(543\) −7.97311 17.4587i −0.342159 0.749223i
\(544\) −30.4020 + 32.3077i −1.30347 + 1.38518i
\(545\) −0.954015 0.280124i −0.0408655 0.0119992i
\(546\) 2.26789 + 2.11599i 0.0970566 + 0.0905558i
\(547\) −17.5355 8.00817i −0.749762 0.342405i 0.00361524 0.999993i \(-0.498849\pi\)
−0.753377 + 0.657589i \(0.771577\pi\)
\(548\) −19.1017 7.17092i −0.815986 0.306326i
\(549\) −6.43853 + 10.0186i −0.274790 + 0.427581i
\(550\) 0.189831 1.04580i 0.00809444 0.0445929i
\(551\) 9.05996 0.385967
\(552\) 12.0858 6.15896i 0.514407 0.262143i
\(553\) 2.72362 0.115820
\(554\) −0.0543116 + 0.299207i −0.00230748 + 0.0127121i
\(555\) 13.8137 21.4945i 0.586358 0.912391i
\(556\) 7.19409 19.1635i 0.305097 0.812712i
\(557\) 7.75655 + 3.54230i 0.328656 + 0.150092i 0.572908 0.819620i \(-0.305815\pi\)
−0.244252 + 0.969712i \(0.578543\pi\)
\(558\) 6.91857 + 6.45517i 0.292887 + 0.273269i
\(559\) 36.5952 + 10.7453i 1.54781 + 0.454479i
\(560\) −0.805109 5.77398i −0.0340221 0.243995i
\(561\) 4.79166 + 10.4923i 0.202304 + 0.442984i
\(562\) 15.2667 21.9384i 0.643986 0.925414i
\(563\) 0.233124 + 0.202003i 0.00982499 + 0.00851341i 0.659759 0.751477i \(-0.270658\pi\)
−0.649934 + 0.759990i \(0.725204\pi\)
\(564\) −17.4182 + 12.9814i −0.733438 + 0.546614i
\(565\) 1.93447 + 6.58819i 0.0813836 + 0.277167i
\(566\) −1.84351 + 3.67309i −0.0774883 + 0.154391i
\(567\) −0.522286 + 0.335653i −0.0219340 + 0.0140961i
\(568\) 3.96113 + 22.3633i 0.166205 + 0.938344i
\(569\) −4.42555 30.7804i −0.185529 1.29038i −0.843414 0.537263i \(-0.819458\pi\)
0.657886 0.753118i \(-0.271451\pi\)
\(570\) 19.8254 5.03767i 0.830395 0.211005i
\(571\) −14.0182 2.01552i −0.586645 0.0843468i −0.157400 0.987535i \(-0.550311\pi\)
−0.429245 + 0.903188i \(0.641220\pi\)
\(572\) −7.36380 + 7.33253i −0.307896 + 0.306589i
\(573\) −8.02067 + 6.94995i −0.335068 + 0.290338i
\(574\) 2.19947 1.76859i 0.0918042 0.0738196i
\(575\) 1.62398 + 1.83528i 0.0677246 + 0.0765366i
\(576\) 4.83500 6.37360i 0.201458 0.265567i
\(577\) −19.7456 22.7877i −0.822021 0.948663i 0.177349 0.984148i \(-0.443248\pi\)
−0.999370 + 0.0354848i \(0.988702\pi\)
\(578\) 62.5821 6.66093i 2.60307 0.277058i
\(579\) −7.08596 1.01881i −0.294482 0.0423402i
\(580\) 5.51801 + 4.14908i 0.229123 + 0.172281i
\(581\) −0.965717 + 0.138849i −0.0400647 + 0.00576043i
\(582\) 5.74388 + 13.9088i 0.238091 + 0.576537i
\(583\) −2.63161 + 1.69123i −0.108990 + 0.0700436i
\(584\) 17.5287 21.6103i 0.725343 0.894239i
\(585\) −7.95726 + 2.33646i −0.328992 + 0.0966008i
\(586\) −16.7558 0.616285i −0.692176 0.0254585i
\(587\) −2.86764 2.48482i −0.118360 0.102560i 0.593670 0.804709i \(-0.297679\pi\)
−0.712030 + 0.702149i \(0.752224\pi\)
\(588\) 13.1974 0.915675i 0.544251 0.0377618i
\(589\) −37.4997 + 17.1256i −1.54515 + 0.705646i
\(590\) 8.72278 26.1150i 0.359111 1.07514i
\(591\) 10.9357 + 3.21101i 0.449834 + 0.132083i
\(592\) 41.7197 + 12.4431i 1.71467 + 0.511408i
\(593\) 7.58029 16.5985i 0.311285 0.681620i −0.687731 0.725966i \(-0.741393\pi\)
0.999016 + 0.0443460i \(0.0141204\pi\)
\(594\) −1.05948 1.79000i −0.0434711 0.0734446i
\(595\) −6.17946 + 9.61543i −0.253333 + 0.394194i
\(596\) 0.319761 + 0.588573i 0.0130979 + 0.0241089i
\(597\) 23.9807i 0.981467i
\(598\) −2.78331 23.7977i −0.113818 0.973161i
\(599\) −24.5221 −1.00194 −0.500972 0.865463i \(-0.667024\pi\)
−0.500972 + 0.865463i \(0.667024\pi\)
\(600\) 1.33351 + 0.557352i 0.0544404 + 0.0227538i
\(601\) 4.76683 + 3.06346i 0.194443 + 0.124961i 0.634240 0.773136i \(-0.281313\pi\)
−0.439797 + 0.898097i \(0.644950\pi\)
\(602\) −8.15741 + 4.82829i −0.332471 + 0.196786i
\(603\) −9.97750 4.55657i −0.406315 0.185558i
\(604\) −1.31462 0.0968357i −0.0534913 0.00394019i
\(605\) −5.84443 + 19.9043i −0.237610 + 0.809225i
\(606\) −1.68058 + 5.03145i −0.0682687 + 0.204389i
\(607\) 6.48020 + 14.1896i 0.263023 + 0.575940i 0.994358 0.106079i \(-0.0338295\pi\)
−0.731335 + 0.682019i \(0.761102\pi\)
\(608\) 17.6253 + 30.0692i 0.714800 + 1.21947i
\(609\) 0.597831 0.689934i 0.0242253 0.0279575i
\(610\) 1.45322 39.5107i 0.0588390 1.59974i
\(611\) 10.8104 + 36.8169i 0.437343 + 1.48945i
\(612\) −15.3333 + 3.30140i −0.619811 + 0.133451i
\(613\) 4.90650 + 7.63466i 0.198171 + 0.308361i 0.926090 0.377303i \(-0.123148\pi\)
−0.727918 + 0.685664i \(0.759512\pi\)
\(614\) −16.8172 40.7227i −0.678686 1.64344i
\(615\) 1.07393 + 7.46937i 0.0433052 + 0.301194i
\(616\) −0.0839466 2.58140i −0.00338230 0.104008i
\(617\) −0.767278 + 5.33654i −0.0308895 + 0.214841i −0.999420 0.0340538i \(-0.989158\pi\)
0.968531 + 0.248895i \(0.0800673\pi\)
\(618\) −0.838959 7.88236i −0.0337479 0.317075i
\(619\) −15.2560 + 13.2194i −0.613189 + 0.531332i −0.905146 0.425100i \(-0.860239\pi\)
0.291957 + 0.956431i \(0.405694\pi\)
\(620\) −30.6822 6.74291i −1.23223 0.270802i
\(621\) 4.75385 + 0.633150i 0.190766 + 0.0254074i
\(622\) −32.9626 + 26.5051i −1.32168 + 1.06276i
\(623\) 2.44628 + 2.82316i 0.0980081 + 0.113107i
\(624\) −7.58903 11.9200i −0.303804 0.477181i
\(625\) 3.88432 27.0160i 0.155373 1.08064i
\(626\) 2.11314 + 8.31610i 0.0844580 + 0.332378i
\(627\) 8.97003 1.28970i 0.358229 0.0515055i
\(628\) −8.08516 4.43719i −0.322633 0.177063i
\(629\) −46.1466 71.8055i −1.83999 2.86307i
\(630\) 0.924571 1.84216i 0.0368358 0.0733933i
\(631\) −2.66112 + 0.781376i −0.105938 + 0.0311061i −0.334272 0.942477i \(-0.608490\pi\)
0.228334 + 0.973583i \(0.426672\pi\)
\(632\) −12.0130 3.10699i −0.477850 0.123590i
\(633\) 1.47380 1.70086i 0.0585785 0.0676032i
\(634\) −17.6977 12.3157i −0.702867 0.489118i
\(635\) 29.6548 13.5429i 1.17682 0.537434i
\(636\) −1.47803 3.98865i −0.0586076 0.158160i
\(637\) 6.58331 22.4207i 0.260840 0.888340i
\(638\) 2.23634 + 2.08656i 0.0885377 + 0.0826076i
\(639\) −3.33566 + 7.30408i −0.131957 + 0.288945i
\(640\) −3.03566 + 26.3854i −0.119995 + 1.04298i
\(641\) −0.590385 0.379417i −0.0233188 0.0149861i 0.528929 0.848666i \(-0.322594\pi\)
−0.552248 + 0.833680i \(0.686230\pi\)
\(642\) −7.07290 1.28386i −0.279145 0.0506700i
\(643\) 21.5081i 0.848198i 0.905616 + 0.424099i \(0.139409\pi\)
−0.905616 + 0.424099i \(0.860591\pi\)
\(644\) 4.79649 + 3.52913i 0.189008 + 0.139067i
\(645\) 25.3449i 0.997955i
\(646\) 12.2045 67.2356i 0.480180 2.64535i
\(647\) 35.7089 + 22.9487i 1.40386 + 0.902207i 0.999921 0.0125778i \(-0.00400375\pi\)
0.403941 + 0.914785i \(0.367640\pi\)
\(648\) 2.68652 0.884646i 0.105537 0.0347522i
\(649\) 5.06720 11.0956i 0.198905 0.435542i
\(650\) 1.74158 1.86661i 0.0683105 0.0732143i
\(651\) −1.17031 + 3.98572i −0.0458682 + 0.156213i
\(652\) 21.1108 7.82280i 0.826764 0.306365i
\(653\) 10.0969 4.61111i 0.395123 0.180447i −0.207937 0.978142i \(-0.566675\pi\)
0.603061 + 0.797695i \(0.293948\pi\)
\(654\) 0.342136 0.491652i 0.0133786 0.0192251i
\(655\) 29.1462 33.6365i 1.13883 1.31429i
\(656\) −11.7186 + 5.29157i −0.457536 + 0.206601i
\(657\) 9.43931 2.77163i 0.368262 0.108132i
\(658\) −8.52337 4.27784i −0.332275 0.166767i
\(659\) −9.19486 14.3075i −0.358181 0.557341i 0.614667 0.788787i \(-0.289291\pi\)
−0.972848 + 0.231446i \(0.925654\pi\)
\(660\) 6.05387 + 3.32240i 0.235647 + 0.129324i
\(661\) 15.6341 2.24784i 0.608096 0.0874310i 0.168613 0.985682i \(-0.446071\pi\)
0.439482 + 0.898251i \(0.355162\pi\)
\(662\) −10.9049 + 2.77096i −0.423831 + 0.107696i
\(663\) −3.94278 + 27.4226i −0.153125 + 1.06501i
\(664\) 4.41783 + 0.489234i 0.171445 + 0.0189860i
\(665\) 5.88064 + 6.78662i 0.228041 + 0.263174i
\(666\) 9.64538 + 11.9953i 0.373751 + 0.464808i
\(667\) −6.96940 + 1.07609i −0.269856 + 0.0416663i
\(668\) −5.14244 + 23.3996i −0.198967 + 0.905357i
\(669\) 3.05731 2.64917i 0.118202 0.102423i
\(670\) 36.2109 3.85411i 1.39895 0.148897i
\(671\) 2.49280 17.3378i 0.0962333 0.669317i
\(672\) 3.45285 + 0.641946i 0.133197 + 0.0247636i
\(673\) −2.23174 15.5221i −0.0860273 0.598333i −0.986542 0.163507i \(-0.947719\pi\)
0.900515 0.434825i \(-0.143190\pi\)
\(674\) −16.7259 + 6.90726i −0.644258 + 0.266058i
\(675\) 0.276263 + 0.429873i 0.0106334 + 0.0165458i
\(676\) 1.01676 0.218918i 0.0391062 0.00841992i
\(677\) 6.33352 + 21.5700i 0.243417 + 0.829002i 0.987050 + 0.160414i \(0.0512828\pi\)
−0.743633 + 0.668588i \(0.766899\pi\)
\(678\) −4.13362 0.152036i −0.158751 0.00583891i
\(679\) −4.32612 + 4.99261i −0.166021 + 0.191599i
\(680\) 38.2243 35.3610i 1.46584 1.35603i
\(681\) 5.69621 + 12.4730i 0.218279 + 0.477965i
\(682\) −13.2005 4.40914i −0.505472 0.168835i
\(683\) 11.3086 38.5136i 0.432712 1.47368i −0.398211 0.917294i \(-0.630369\pi\)
0.830923 0.556388i \(-0.187813\pi\)
\(684\) −0.905248 + 12.2895i −0.0346130 + 0.469900i
\(685\) 21.7848 + 9.94878i 0.832354 + 0.380123i
\(686\) 6.08864 + 10.2868i 0.232466 + 0.392751i
\(687\) 24.4244 + 15.6966i 0.931848 + 0.598863i
\(688\) 41.4874 11.9903i 1.58169 0.457125i
\(689\) −7.51350 −0.286242
\(690\) −14.6524 + 6.22998i −0.557807 + 0.237171i
\(691\) 6.77370i 0.257684i −0.991665 0.128842i \(-0.958874\pi\)
0.991665 0.128842i \(-0.0411260\pi\)
\(692\) −3.40058 6.25932i −0.129271 0.237944i
\(693\) 0.493684 0.768187i 0.0187535 0.0291810i
\(694\) −24.5437 + 14.5272i −0.931668 + 0.551445i
\(695\) −9.98093 + 21.8552i −0.378598 + 0.829014i
\(696\) −3.42387 + 2.36108i −0.129781 + 0.0894964i
\(697\) 24.1880 + 7.10223i 0.916185 + 0.269016i
\(698\) 28.4299 + 9.49599i 1.07609 + 0.359428i
\(699\) 12.5158 5.71578i 0.473391 0.216190i
\(700\) 0.0439173 + 0.632969i 0.00165992 + 0.0239240i
\(701\) 11.9096 + 10.3197i 0.449820 + 0.389771i 0.850100 0.526622i \(-0.176542\pi\)
−0.400280 + 0.916393i \(0.631087\pi\)
\(702\) 0.183630 4.99262i 0.00693068 0.188434i
\(703\) −64.3438 + 18.8930i −2.42677 + 0.712564i
\(704\) −2.57450 + 11.4814i −0.0970300 + 0.432723i
\(705\) 21.4507 13.7855i 0.807879 0.519192i
\(706\) 16.9569 7.00267i 0.638183 0.263549i
\(707\) −2.30507 + 0.331419i −0.0866911 + 0.0124643i
\(708\) 13.2571 + 9.96822i 0.498232 + 0.374629i
\(709\) 43.7026 + 6.28348i 1.64128 + 0.235981i 0.900215 0.435446i \(-0.143409\pi\)
0.741070 + 0.671428i \(0.234319\pi\)
\(710\) −2.82142 26.5084i −0.105886 0.994842i
\(711\) −2.87286 3.31545i −0.107741 0.124339i
\(712\) −7.56915 15.2426i −0.283666 0.571240i
\(713\) 26.8127 17.6279i 1.00414 0.660169i
\(714\) −4.31480 5.36601i −0.161477 0.200818i
\(715\) 9.21845 7.98783i 0.344750 0.298728i
\(716\) 15.8109 + 15.8783i 0.590880 + 0.593400i
\(717\) −9.35462 1.34499i −0.349355 0.0502296i
\(718\) −11.2925 44.4408i −0.421432 1.65851i
\(719\) −1.74402 12.1299i −0.0650409 0.452370i −0.996153 0.0876355i \(-0.972069\pi\)
0.931112 0.364734i \(-0.118840\pi\)
\(720\) −6.17942 + 7.07041i −0.230293 + 0.263499i
\(721\) 2.92749 1.88139i 0.109026 0.0700665i
\(722\) −23.9680 12.0294i −0.891996 0.447689i
\(723\) 6.83902 + 23.2916i 0.254346 + 0.866222i
\(724\) −30.7786 + 22.9386i −1.14388 + 0.852505i
\(725\) −0.567857 0.492051i −0.0210897 0.0182743i
\(726\) −10.2577 7.13823i −0.380699 0.264924i
\(727\) −8.19441 17.9433i −0.303914 0.665478i 0.694633 0.719364i \(-0.255567\pi\)
−0.998547 + 0.0538855i \(0.982839\pi\)
\(728\) 3.18245 5.32493i 0.117949 0.197355i
\(729\) 0.959493 + 0.281733i 0.0355368 + 0.0104345i
\(730\) −22.2811 + 23.8806i −0.824662 + 0.883862i
\(731\) −77.0171 35.1725i −2.84858 1.30090i
\(732\) 22.2987 + 8.37106i 0.824182 + 0.309403i
\(733\) 1.48670 2.31336i 0.0549127 0.0854458i −0.812712 0.582666i \(-0.802010\pi\)
0.867624 + 0.497220i \(0.165646\pi\)
\(734\) 6.46780 + 1.17403i 0.238731 + 0.0433341i
\(735\) −15.5280 −0.572759
\(736\) −17.1297 21.0374i −0.631411 0.775448i
\(737\) 16.1330 0.594266
\(738\) −4.47289 0.811912i −0.164649 0.0298869i
\(739\) −20.9413 + 32.5853i −0.770339 + 1.19867i 0.205173 + 0.978726i \(0.434224\pi\)
−0.975512 + 0.219945i \(0.929412\pi\)
\(740\) −47.8411 17.9599i −1.75867 0.660218i
\(741\) 19.7994 + 9.04207i 0.727348 + 0.332169i
\(742\) 1.27392 1.36537i 0.0467670 0.0501243i
\(743\) 19.0052 + 5.58043i 0.697233 + 0.204726i 0.611095 0.791557i \(-0.290729\pi\)
0.0861381 + 0.996283i \(0.472547\pi\)
\(744\) 9.70859 16.2446i 0.355934 0.595556i
\(745\) −0.326609 0.715174i −0.0119660 0.0262019i
\(746\) 14.6193 + 10.1734i 0.535249 + 0.372475i
\(747\) 1.18765 + 1.02911i 0.0434539 + 0.0376530i
\(748\) 18.4973 13.7856i 0.676327 0.504050i
\(749\) −0.889080 3.02793i −0.0324863 0.110638i
\(750\) 13.3197 + 6.68512i 0.486368 + 0.244106i
\(751\) 17.9101 11.5101i 0.653549 0.420010i −0.171413 0.985199i \(-0.554833\pi\)
0.824961 + 0.565189i \(0.191197\pi\)
\(752\) 32.7136 + 28.5912i 1.19294 + 1.04261i
\(753\) −0.733015 5.09823i −0.0267126 0.185790i
\(754\) 1.80922 + 7.12004i 0.0658878 + 0.259297i
\(755\) 1.53151 + 0.220197i 0.0557372 + 0.00801380i
\(756\) 0.876134 + 0.879871i 0.0318647 + 0.0320006i
\(757\) −13.5843 + 11.7708i −0.493728 + 0.427818i −0.865803 0.500385i \(-0.833192\pi\)
0.372075 + 0.928203i \(0.378646\pi\)
\(758\) −2.09293 2.60284i −0.0760188 0.0945392i
\(759\) −6.74704 + 2.05751i −0.244902 + 0.0746828i
\(760\) −18.1956 36.6418i −0.660022 1.32914i
\(761\) −32.4388 37.4363i −1.17590 1.35707i −0.920744 0.390166i \(-0.872418\pi\)
−0.255159 0.966899i \(-0.582128\pi\)
\(762\) 2.07859 + 19.5292i 0.0752993 + 0.707467i
\(763\) 0.260278 + 0.0374223i 0.00942269 + 0.00135478i
\(764\) 16.9650 + 12.7562i 0.613771 + 0.461504i
\(765\) 18.2229 2.62005i 0.658849 0.0947282i
\(766\) −7.02261 + 2.90011i −0.253737 + 0.104785i
\(767\) 24.6469 15.8396i 0.889946 0.571934i
\(768\) −14.4970 6.77027i −0.523116 0.244301i
\(769\) −40.4371 + 11.8734i −1.45820 + 0.428166i −0.912244 0.409648i \(-0.865652\pi\)
−0.545956 + 0.837814i \(0.683833\pi\)
\(770\) −0.111427 + 3.02954i −0.00401557 + 0.109177i
\(771\) 21.8241 + 18.9107i 0.785977 + 0.681053i
\(772\) 0.991020 + 14.2833i 0.0356676 + 0.514068i
\(773\) −9.76369 + 4.45893i −0.351175 + 0.160376i −0.583190 0.812336i \(-0.