Properties

Label 588.2.ba.a.283.14
Level $588$
Weight $2$
Character 588.283
Analytic conductor $4.695$
Analytic rank $0$
Dimension $336$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 588 = 2^{2} \cdot 3 \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 588.ba (of order \(42\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.69520363885\)
Analytic rank: \(0\)
Dimension: \(336\)
Relative dimension: \(28\) over \(\Q(\zeta_{42})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{42}]$

Embedding invariants

Embedding label 283.14
Character \(\chi\) \(=\) 588.283
Dual form 588.2.ba.a.187.14

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.109917 + 1.40994i) q^{2} +(0.988831 - 0.149042i) q^{3} +(-1.97584 - 0.309952i) q^{4} +(0.577807 + 0.226773i) q^{5} +(0.101451 + 1.41057i) q^{6} +(2.12573 + 1.57521i) q^{7} +(0.654190 - 2.75173i) q^{8} +(0.955573 - 0.294755i) q^{9} +O(q^{10})\) \(q+(-0.109917 + 1.40994i) q^{2} +(0.988831 - 0.149042i) q^{3} +(-1.97584 - 0.309952i) q^{4} +(0.577807 + 0.226773i) q^{5} +(0.101451 + 1.41057i) q^{6} +(2.12573 + 1.57521i) q^{7} +(0.654190 - 2.75173i) q^{8} +(0.955573 - 0.294755i) q^{9} +(-0.383246 + 0.789745i) q^{10} +(0.418624 - 1.35715i) q^{11} +(-1.99996 - 0.0120066i) q^{12} +(-0.804577 + 0.183639i) q^{13} +(-2.45460 + 2.82399i) q^{14} +(0.605152 + 0.138122i) q^{15} +(3.80786 + 1.22483i) q^{16} +(3.97606 + 5.83181i) q^{17} +(0.310552 + 1.37969i) q^{18} +(0.990339 + 1.71532i) q^{19} +(-1.07136 - 0.627158i) q^{20} +(2.33676 + 1.24079i) q^{21} +(1.86747 + 0.739406i) q^{22} +(2.55242 - 3.74372i) q^{23} +(0.236758 - 2.81850i) q^{24} +(-3.38282 - 3.13880i) q^{25} +(-0.170483 - 1.15459i) q^{26} +(0.900969 - 0.433884i) q^{27} +(-3.71185 - 3.77123i) q^{28} +(2.01507 + 0.970408i) q^{29} +(-0.261260 + 0.838044i) q^{30} +(-2.30045 + 3.98449i) q^{31} +(-2.14548 + 5.23421i) q^{32} +(0.211676 - 1.40438i) q^{33} +(-8.65952 + 4.96498i) q^{34} +(0.871045 + 1.39222i) q^{35} +(-1.97942 + 0.286207i) q^{36} +(0.849468 + 11.3354i) q^{37} +(-2.52734 + 1.20777i) q^{38} +(-0.768220 + 0.301504i) q^{39} +(1.00201 - 1.44162i) q^{40} +(-0.142820 + 0.113895i) q^{41} +(-2.00629 + 3.15829i) q^{42} +(-7.66154 - 6.10987i) q^{43} +(-1.24778 + 2.55175i) q^{44} +(0.618979 + 0.0463861i) q^{45} +(4.99785 + 4.01025i) q^{46} +(9.80152 - 9.09448i) q^{47} +(3.94788 + 0.643615i) q^{48} +(2.03742 + 6.69693i) q^{49} +(4.79734 - 4.42456i) q^{50} +(4.80084 + 5.17407i) q^{51} +(1.64663 - 0.113462i) q^{52} +(-0.412496 + 5.50437i) q^{53} +(0.512716 + 1.31800i) q^{54} +(0.549648 - 0.689236i) q^{55} +(5.72519 - 4.81894i) q^{56} +(1.23493 + 1.54856i) q^{57} +(-1.58970 + 2.73446i) q^{58} +(-2.34591 - 5.97729i) q^{59} +(-1.15287 - 0.460474i) q^{60} +(-9.20724 + 0.689988i) q^{61} +(-5.36502 - 3.68145i) q^{62} +(2.49559 + 0.878660i) q^{63} +(-7.14407 - 3.60031i) q^{64} +(-0.506534 - 0.0763478i) q^{65} +(1.95682 + 0.452815i) q^{66} +(-0.491853 - 0.283971i) q^{67} +(-6.04847 - 12.7551i) q^{68} +(1.96594 - 4.08232i) q^{69} +(-2.05869 + 1.07509i) q^{70} +(-3.11294 - 6.46408i) q^{71} +(-0.185962 - 2.82231i) q^{72} +(-2.32715 + 2.50808i) q^{73} +(-16.0755 - 0.0482534i) q^{74} +(-3.81285 - 2.59956i) q^{75} +(-1.42508 - 3.69614i) q^{76} +(3.02767 - 2.22550i) q^{77} +(-0.340661 - 1.11628i) q^{78} +(4.26467 - 2.46221i) q^{79} +(1.92245 + 1.57123i) q^{80} +(0.826239 - 0.563320i) q^{81} +(-0.144887 - 0.213886i) q^{82} +(-0.542153 + 2.37533i) q^{83} +(-4.23246 - 3.17589i) q^{84} +(0.974902 + 4.27132i) q^{85} +(9.45666 - 10.1307i) q^{86} +(2.13720 + 0.659238i) q^{87} +(-3.46064 - 2.03977i) q^{88} +(-0.190161 - 0.616487i) q^{89} +(-0.133438 + 0.867622i) q^{90} +(-1.99958 - 0.877011i) q^{91} +(-6.20354 + 6.60585i) q^{92} +(-1.68090 + 4.28285i) q^{93} +(11.7453 + 14.8192i) q^{94} +(0.183238 + 1.21570i) q^{95} +(-1.34139 + 5.49551i) q^{96} -17.0926i q^{97} +(-9.66619 + 2.13652i) q^{98} -1.42024i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 336 q - 28 q^{3} + 2 q^{7} - 6 q^{8} + 28 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 336 q - 28 q^{3} + 2 q^{7} - 6 q^{8} + 28 q^{9} + 41 q^{10} + 6 q^{11} + 52 q^{14} + 20 q^{16} - 6 q^{19} - 25 q^{20} + 4 q^{21} + 6 q^{22} + 9 q^{24} - 26 q^{25} - 18 q^{26} + 56 q^{27} + 5 q^{30} + 2 q^{31} + 15 q^{32} + 6 q^{33} + 44 q^{34} - 12 q^{35} + 16 q^{37} - 100 q^{38} + 8 q^{39} - 7 q^{40} - 7 q^{42} - 53 q^{44} - 10 q^{46} + 4 q^{47} + 8 q^{48} - 4 q^{49} - 114 q^{50} - 28 q^{52} - 4 q^{53} + q^{56} - 12 q^{57} + 27 q^{58} - 10 q^{59} - 7 q^{60} + 2 q^{61} - 16 q^{62} - 12 q^{63} - 84 q^{64} - 4 q^{65} + 21 q^{66} + 42 q^{67} + 26 q^{68} - 70 q^{70} + 28 q^{71} + 15 q^{72} + 18 q^{73} + 20 q^{74} + 54 q^{75} + 49 q^{76} - 8 q^{77} - 6 q^{78} - 6 q^{79} - 40 q^{80} + 28 q^{81} - 99 q^{82} + 10 q^{83} + 54 q^{84} + 24 q^{85} - 314 q^{86} - 40 q^{88} + 20 q^{90} - 34 q^{91} + 14 q^{92} - 2 q^{93} - 152 q^{94} - 24 q^{95} - 10 q^{96} - 156 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/588\mathbb{Z}\right)^\times\).

\(n\) \(197\) \(295\) \(493\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{19}{42}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.109917 + 1.40994i −0.0777230 + 0.996975i
\(3\) 0.988831 0.149042i 0.570902 0.0860496i
\(4\) −1.97584 0.309952i −0.987918 0.154976i
\(5\) 0.577807 + 0.226773i 0.258403 + 0.101416i 0.491006 0.871156i \(-0.336629\pi\)
−0.232603 + 0.972572i \(0.574724\pi\)
\(6\) 0.101451 + 1.41057i 0.0414171 + 0.575863i
\(7\) 2.12573 + 1.57521i 0.803449 + 0.595374i
\(8\) 0.654190 2.75173i 0.231291 0.972885i
\(9\) 0.955573 0.294755i 0.318524 0.0982517i
\(10\) −0.383246 + 0.789745i −0.121193 + 0.249739i
\(11\) 0.418624 1.35715i 0.126220 0.409195i −0.870303 0.492517i \(-0.836077\pi\)
0.996523 + 0.0833222i \(0.0265531\pi\)
\(12\) −1.99996 0.0120066i −0.577340 0.00346600i
\(13\) −0.804577 + 0.183639i −0.223149 + 0.0509324i −0.332634 0.943056i \(-0.607937\pi\)
0.109484 + 0.993989i \(0.465080\pi\)
\(14\) −2.45460 + 2.82399i −0.656019 + 0.754744i
\(15\) 0.605152 + 0.138122i 0.156250 + 0.0356630i
\(16\) 3.80786 + 1.22483i 0.951965 + 0.306207i
\(17\) 3.97606 + 5.83181i 0.964337 + 1.41442i 0.909395 + 0.415933i \(0.136545\pi\)
0.0549414 + 0.998490i \(0.482503\pi\)
\(18\) 0.310552 + 1.37969i 0.0731978 + 0.325197i
\(19\) 0.990339 + 1.71532i 0.227199 + 0.393521i 0.956977 0.290164i \(-0.0937098\pi\)
−0.729778 + 0.683684i \(0.760376\pi\)
\(20\) −1.07136 0.627158i −0.239564 0.140237i
\(21\) 2.33676 + 1.24079i 0.509922 + 0.270764i
\(22\) 1.86747 + 0.739406i 0.398147 + 0.157642i
\(23\) 2.55242 3.74372i 0.532217 0.780619i −0.462128 0.886813i \(-0.652914\pi\)
0.994345 + 0.106194i \(0.0338664\pi\)
\(24\) 0.236758 2.81850i 0.0483281 0.575324i
\(25\) −3.38282 3.13880i −0.676565 0.627760i
\(26\) −0.170483 1.15459i −0.0334345 0.226433i
\(27\) 0.900969 0.433884i 0.173392 0.0835010i
\(28\) −3.71185 3.77123i −0.701473 0.712696i
\(29\) 2.01507 + 0.970408i 0.374190 + 0.180200i 0.611520 0.791229i \(-0.290558\pi\)
−0.237331 + 0.971429i \(0.576273\pi\)
\(30\) −0.261260 + 0.838044i −0.0476993 + 0.153005i
\(31\) −2.30045 + 3.98449i −0.413173 + 0.715636i −0.995235 0.0975084i \(-0.968913\pi\)
0.582062 + 0.813144i \(0.302246\pi\)
\(32\) −2.14548 + 5.23421i −0.379270 + 0.925286i
\(33\) 0.211676 1.40438i 0.0368481 0.244471i
\(34\) −8.65952 + 4.96498i −1.48509 + 0.851486i
\(35\) 0.871045 + 1.39222i 0.147233 + 0.235329i
\(36\) −1.97942 + 0.286207i −0.329903 + 0.0477011i
\(37\) 0.849468 + 11.3354i 0.139652 + 1.86352i 0.425123 + 0.905135i \(0.360231\pi\)
−0.285472 + 0.958387i \(0.592150\pi\)
\(38\) −2.52734 + 1.20777i −0.409989 + 0.195926i
\(39\) −0.768220 + 0.301504i −0.123014 + 0.0482793i
\(40\) 1.00201 1.44162i 0.158432 0.227940i
\(41\) −0.142820 + 0.113895i −0.0223048 + 0.0177875i −0.634579 0.772858i \(-0.718826\pi\)
0.612274 + 0.790646i \(0.290255\pi\)
\(42\) −2.00629 + 3.15829i −0.309577 + 0.487335i
\(43\) −7.66154 6.10987i −1.16837 0.931747i −0.169818 0.985475i \(-0.554318\pi\)
−0.998556 + 0.0537287i \(0.982889\pi\)
\(44\) −1.24778 + 2.55175i −0.188110 + 0.384690i
\(45\) 0.618979 + 0.0463861i 0.0922720 + 0.00691483i
\(46\) 4.99785 + 4.01025i 0.736892 + 0.591279i
\(47\) 9.80152 9.09448i 1.42970 1.32657i 0.564217 0.825626i \(-0.309178\pi\)
0.865482 0.500940i \(-0.167012\pi\)
\(48\) 3.94788 + 0.643615i 0.569827 + 0.0928978i
\(49\) 2.03742 + 6.69693i 0.291060 + 0.956705i
\(50\) 4.79734 4.42456i 0.678446 0.625727i
\(51\) 4.80084 + 5.17407i 0.672252 + 0.724515i
\(52\) 1.64663 0.113462i 0.228347 0.0157343i
\(53\) −0.412496 + 5.50437i −0.0566607 + 0.756084i 0.894437 + 0.447194i \(0.147577\pi\)
−0.951098 + 0.308890i \(0.900042\pi\)
\(54\) 0.512716 + 1.31800i 0.0697719 + 0.179357i
\(55\) 0.549648 0.689236i 0.0741145 0.0929366i
\(56\) 5.72519 4.81894i 0.765061 0.643958i
\(57\) 1.23493 + 1.54856i 0.163571 + 0.205111i
\(58\) −1.58970 + 2.73446i −0.208738 + 0.359052i
\(59\) −2.34591 5.97729i −0.305412 0.778176i −0.998363 0.0571921i \(-0.981785\pi\)
0.692951 0.720984i \(-0.256310\pi\)
\(60\) −1.15287 0.460474i −0.148835 0.0594470i
\(61\) −9.20724 + 0.689988i −1.17887 + 0.0883439i −0.649711 0.760181i \(-0.725110\pi\)
−0.529156 + 0.848525i \(0.677491\pi\)
\(62\) −5.36502 3.68145i −0.681358 0.467544i
\(63\) 2.49559 + 0.878660i 0.314414 + 0.110701i
\(64\) −7.14407 3.60031i −0.893009 0.450039i
\(65\) −0.506534 0.0763478i −0.0628279 0.00946978i
\(66\) 1.95682 + 0.452815i 0.240868 + 0.0557377i
\(67\) −0.491853 0.283971i −0.0600894 0.0346926i 0.469654 0.882850i \(-0.344379\pi\)
−0.529744 + 0.848158i \(0.677712\pi\)
\(68\) −6.04847 12.7551i −0.733485 1.54678i
\(69\) 1.96594 4.08232i 0.236672 0.491454i
\(70\) −2.05869 + 1.07509i −0.246060 + 0.128498i
\(71\) −3.11294 6.46408i −0.369438 0.767145i 0.630522 0.776172i \(-0.282841\pi\)
−0.999959 + 0.00902650i \(0.997127\pi\)
\(72\) −0.185962 2.82231i −0.0219158 0.332612i
\(73\) −2.32715 + 2.50808i −0.272373 + 0.293548i −0.854394 0.519625i \(-0.826072\pi\)
0.582021 + 0.813173i \(0.302262\pi\)
\(74\) −16.0755 0.0482534i −1.86874 0.00560935i
\(75\) −3.81285 2.59956i −0.440271 0.300171i
\(76\) −1.42508 3.69614i −0.163468 0.423977i
\(77\) 3.02767 2.22550i 0.345035 0.253619i
\(78\) −0.340661 1.11628i −0.0385723 0.126394i
\(79\) 4.26467 2.46221i 0.479813 0.277020i −0.240526 0.970643i \(-0.577320\pi\)
0.720338 + 0.693623i \(0.243987\pi\)
\(80\) 1.92245 + 1.57123i 0.214937 + 0.175669i
\(81\) 0.826239 0.563320i 0.0918043 0.0625911i
\(82\) −0.144887 0.213886i −0.0160001 0.0236198i
\(83\) −0.542153 + 2.37533i −0.0595090 + 0.260726i −0.995927 0.0901597i \(-0.971262\pi\)
0.936418 + 0.350886i \(0.114119\pi\)
\(84\) −4.23246 3.17589i −0.461799 0.346518i
\(85\) 0.974902 + 4.27132i 0.105743 + 0.463290i
\(86\) 9.45666 10.1307i 1.01974 1.09242i
\(87\) 2.13720 + 0.659238i 0.229132 + 0.0706778i
\(88\) −3.46064 2.03977i −0.368906 0.217441i
\(89\) −0.190161 0.616487i −0.0201570 0.0653475i 0.944936 0.327257i \(-0.106124\pi\)
−0.965093 + 0.261909i \(0.915648\pi\)
\(90\) −0.133438 + 0.867622i −0.0140656 + 0.0914554i
\(91\) −1.99958 0.877011i −0.209613 0.0919358i
\(92\) −6.20354 + 6.60585i −0.646764 + 0.688707i
\(93\) −1.68090 + 4.28285i −0.174301 + 0.444111i
\(94\) 11.7453 + 14.8192i 1.21143 + 1.52848i
\(95\) 0.183238 + 1.21570i 0.0187998 + 0.124729i
\(96\) −1.34139 + 5.49551i −0.136906 + 0.560883i
\(97\) 17.0926i 1.73549i −0.497007 0.867747i \(-0.665568\pi\)
0.497007 0.867747i \(-0.334432\pi\)
\(98\) −9.66619 + 2.13652i −0.976433 + 0.215821i
\(99\) 1.42024i 0.142740i
\(100\) 5.71103 + 7.25027i 0.571103 + 0.725027i
\(101\) −1.51215 10.0325i −0.150465 0.998269i −0.928843 0.370473i \(-0.879195\pi\)
0.778378 0.627796i \(-0.216043\pi\)
\(102\) −7.82281 + 6.20016i −0.774573 + 0.613907i
\(103\) 5.60419 14.2793i 0.552198 1.40698i −0.333516 0.942744i \(-0.608235\pi\)
0.885714 0.464232i \(-0.153670\pi\)
\(104\) −0.0210193 + 2.33412i −0.00206111 + 0.228879i
\(105\) 1.06882 + 1.24685i 0.104306 + 0.121680i
\(106\) −7.71547 1.18662i −0.749393 0.115254i
\(107\) −2.80883 9.10602i −0.271540 0.880312i −0.983934 0.178532i \(-0.942865\pi\)
0.712394 0.701780i \(-0.247611\pi\)
\(108\) −1.91465 + 0.578027i −0.184237 + 0.0556206i
\(109\) 4.79772 + 1.47990i 0.459538 + 0.141749i 0.515876 0.856663i \(-0.327466\pi\)
−0.0563385 + 0.998412i \(0.517943\pi\)
\(110\) 0.911363 + 0.850726i 0.0868951 + 0.0811136i
\(111\) 2.52943 + 11.0822i 0.240083 + 1.05187i
\(112\) 6.16510 + 8.60183i 0.582548 + 0.812797i
\(113\) 1.13005 4.95109i 0.106307 0.465759i −0.893552 0.448959i \(-0.851795\pi\)
0.999859 0.0168004i \(-0.00534797\pi\)
\(114\) −2.31910 + 1.57096i −0.217204 + 0.147134i
\(115\) 2.32378 1.58433i 0.216694 0.147739i
\(116\) −3.68068 2.54194i −0.341742 0.236013i
\(117\) −0.714703 + 0.412634i −0.0660743 + 0.0381480i
\(118\) 8.68544 2.65058i 0.799560 0.244006i
\(119\) −0.734318 + 18.6600i −0.0673149 + 1.71056i
\(120\) 0.775959 1.57486i 0.0708351 0.143764i
\(121\) 7.42203 + 5.06025i 0.674730 + 0.460023i
\(122\) 0.0391942 13.0575i 0.00354848 1.18217i
\(123\) −0.124250 + 0.133909i −0.0112032 + 0.0120742i
\(124\) 5.78031 7.15968i 0.519087 0.642958i
\(125\) −2.58942 5.37698i −0.231604 0.480931i
\(126\) −1.51316 + 3.42204i −0.134803 + 0.304859i
\(127\) −6.79446 + 14.1088i −0.602911 + 1.25196i 0.346538 + 0.938036i \(0.387357\pi\)
−0.949449 + 0.313922i \(0.898357\pi\)
\(128\) 5.86146 9.67695i 0.518085 0.855329i
\(129\) −8.48659 4.89974i −0.747203 0.431398i
\(130\) 0.163322 0.705789i 0.0143243 0.0619018i
\(131\) 2.36683 + 0.356742i 0.206791 + 0.0311687i 0.251621 0.967826i \(-0.419036\pi\)
−0.0448298 + 0.998995i \(0.514275\pi\)
\(132\) −0.853528 + 2.70922i −0.0742901 + 0.235807i
\(133\) −0.596798 + 5.20628i −0.0517489 + 0.451442i
\(134\) 0.454444 0.662267i 0.0392580 0.0572112i
\(135\) 0.618979 0.0463861i 0.0532732 0.00399228i
\(136\) 18.6487 7.12595i 1.59911 0.611045i
\(137\) −5.43351 13.8444i −0.464216 1.18280i −0.950975 0.309267i \(-0.899916\pi\)
0.486759 0.873536i \(-0.338179\pi\)
\(138\) 5.53972 + 3.22057i 0.471572 + 0.274153i
\(139\) 1.74043 + 2.18243i 0.147621 + 0.185111i 0.850144 0.526550i \(-0.176515\pi\)
−0.702523 + 0.711661i \(0.747943\pi\)
\(140\) −1.28952 3.02079i −0.108984 0.255303i
\(141\) 8.33658 10.4537i 0.702067 0.880364i
\(142\) 9.45610 3.67853i 0.793538 0.308695i
\(143\) −0.0875897 + 1.16880i −0.00732462 + 0.0977403i
\(144\) 3.99971 + 0.0480255i 0.333309 + 0.00400212i
\(145\) 0.944262 + 1.01767i 0.0784167 + 0.0845131i
\(146\) −3.28043 3.55682i −0.271490 0.294364i
\(147\) 3.01279 + 6.31847i 0.248491 + 0.521139i
\(148\) 1.83500 22.6601i 0.150836 1.86265i
\(149\) −5.48353 + 5.08797i −0.449228 + 0.416823i −0.872070 0.489380i \(-0.837223\pi\)
0.422842 + 0.906203i \(0.361032\pi\)
\(150\) 4.08431 5.09014i 0.333483 0.415609i
\(151\) −17.3860 1.30290i −1.41485 0.106028i −0.654755 0.755841i \(-0.727228\pi\)
−0.760094 + 0.649813i \(0.774847\pi\)
\(152\) 5.36796 1.60300i 0.435399 0.130021i
\(153\) 5.51837 + 4.40076i 0.446134 + 0.355780i
\(154\) 2.80502 + 4.51344i 0.226035 + 0.363704i
\(155\) −2.23279 + 1.78059i −0.179342 + 0.143020i
\(156\) 1.61133 0.357612i 0.129010 0.0286319i
\(157\) 5.84618 2.29446i 0.466576 0.183117i −0.120394 0.992726i \(-0.538416\pi\)
0.586970 + 0.809609i \(0.300321\pi\)
\(158\) 3.00279 + 6.28355i 0.238889 + 0.499892i
\(159\) 0.412496 + 5.50437i 0.0327130 + 0.436525i
\(160\) −2.42665 + 2.53783i −0.191843 + 0.200633i
\(161\) 11.3229 3.93751i 0.892369 0.310319i
\(162\) 0.703427 + 1.22686i 0.0552665 + 0.0963914i
\(163\) 0.483252 3.20617i 0.0378512 0.251127i −0.961901 0.273399i \(-0.911852\pi\)
0.999752 + 0.0222725i \(0.00709015\pi\)
\(164\) 0.317491 0.180771i 0.0247919 0.0141159i
\(165\) 0.440783 0.763459i 0.0343149 0.0594352i
\(166\) −3.28947 1.02549i −0.255312 0.0795934i
\(167\) 15.6298 + 7.52690i 1.20947 + 0.582449i 0.926360 0.376639i \(-0.122920\pi\)
0.283108 + 0.959088i \(0.408634\pi\)
\(168\) 4.94302 5.61841i 0.381362 0.433470i
\(169\) −11.0990 + 5.34498i −0.853767 + 0.411153i
\(170\) −6.12945 + 0.905058i −0.470107 + 0.0694148i
\(171\) 1.45194 + 1.34720i 0.111033 + 0.103023i
\(172\) 13.2442 + 14.4468i 1.00986 + 1.10156i
\(173\) 8.13698 11.9348i 0.618643 0.907383i −0.381210 0.924488i \(-0.624493\pi\)
0.999854 + 0.0171052i \(0.00544503\pi\)
\(174\) −1.16440 + 2.94085i −0.0882728 + 0.222945i
\(175\) −2.24668 12.0009i −0.169833 0.907182i
\(176\) 3.25633 4.65508i 0.245455 0.350890i
\(177\) −3.21058 5.56088i −0.241322 0.417982i
\(178\) 0.890109 0.200353i 0.0667165 0.0150171i
\(179\) −8.29189 12.1620i −0.619765 0.909029i 0.380108 0.924942i \(-0.375887\pi\)
−0.999873 + 0.0159134i \(0.994934\pi\)
\(180\) −1.20862 0.283505i −0.0900855 0.0211312i
\(181\) 6.52609 + 1.48954i 0.485081 + 0.110716i 0.458065 0.888919i \(-0.348543\pi\)
0.0270153 + 0.999635i \(0.491400\pi\)
\(182\) 1.45632 2.72288i 0.107949 0.201833i
\(183\) −9.00157 + 2.05455i −0.665415 + 0.151877i
\(184\) −8.63194 9.47269i −0.636355 0.698336i
\(185\) −2.07972 + 6.74229i −0.152904 + 0.495703i
\(186\) −5.85379 2.84071i −0.429220 0.208291i
\(187\) 9.57910 2.95476i 0.700493 0.216073i
\(188\) −22.1851 + 14.9312i −1.61801 + 1.08897i
\(189\) 2.59867 + 0.496898i 0.189026 + 0.0361440i
\(190\) −1.73420 + 0.124727i −0.125812 + 0.00904866i
\(191\) 5.15591 + 2.02355i 0.373069 + 0.146419i 0.544465 0.838783i \(-0.316733\pi\)
−0.171396 + 0.985202i \(0.554828\pi\)
\(192\) −7.60088 2.49533i −0.548546 0.180085i
\(193\) −16.5352 + 2.49227i −1.19023 + 0.179398i −0.714142 0.700001i \(-0.753183\pi\)
−0.476085 + 0.879399i \(0.657945\pi\)
\(194\) 24.0995 + 1.87877i 1.73024 + 0.134888i
\(195\) −0.512256 −0.0366834
\(196\) −1.94988 13.8635i −0.139277 0.990253i
\(197\) 3.34340 0.238208 0.119104 0.992882i \(-0.461998\pi\)
0.119104 + 0.992882i \(0.461998\pi\)
\(198\) 2.00245 + 0.156109i 0.142308 + 0.0110942i
\(199\) −3.30520 + 0.498179i −0.234300 + 0.0353150i −0.265142 0.964209i \(-0.585419\pi\)
0.0308428 + 0.999524i \(0.490181\pi\)
\(200\) −10.8502 + 7.25526i −0.767222 + 0.513024i
\(201\) −0.528683 0.207493i −0.0372904 0.0146354i
\(202\) 14.3114 1.02930i 1.00694 0.0724212i
\(203\) 2.75489 + 5.23699i 0.193356 + 0.367564i
\(204\) −7.88196 11.7112i −0.551848 0.819945i
\(205\) −0.108351 + 0.0334218i −0.00756755 + 0.00233428i
\(206\) 19.5168 + 9.47108i 1.35980 + 0.659882i
\(207\) 1.33555 4.32973i 0.0928269 0.300937i
\(208\) −3.28864 0.286195i −0.228026 0.0198440i
\(209\) 2.74251 0.625961i 0.189704 0.0432986i
\(210\) −1.87546 + 1.36991i −0.129419 + 0.0945329i
\(211\) −22.5167 5.13929i −1.55011 0.353803i −0.640069 0.768317i \(-0.721094\pi\)
−0.910043 + 0.414514i \(0.863952\pi\)
\(212\) 2.52111 10.7479i 0.173151 0.738168i
\(213\) −4.04159 5.92792i −0.276925 0.406175i
\(214\) 13.1476 2.95937i 0.898754 0.202298i
\(215\) −3.04134 5.26775i −0.207418 0.359258i
\(216\) −0.604528 2.76307i −0.0411329 0.188003i
\(217\) −11.1665 + 4.84625i −0.758034 + 0.328985i
\(218\) −2.61391 + 6.60180i −0.177037 + 0.447131i
\(219\) −1.92735 + 2.82691i −0.130238 + 0.191025i
\(220\) −1.29964 + 1.19145i −0.0876219 + 0.0803278i
\(221\) −4.27000 3.96198i −0.287231 0.266511i
\(222\) −15.9031 + 2.34822i −1.06735 + 0.157602i
\(223\) 10.3800 4.99874i 0.695095 0.334740i −0.0527554 0.998607i \(-0.516800\pi\)
0.747850 + 0.663867i \(0.231086\pi\)
\(224\) −12.8057 + 7.74691i −0.855615 + 0.517612i
\(225\) −4.15771 2.00225i −0.277181 0.133483i
\(226\) 6.85651 + 2.13751i 0.456088 + 0.142185i
\(227\) −14.8268 + 25.6808i −0.984092 + 1.70450i −0.338189 + 0.941078i \(0.609814\pi\)
−0.645903 + 0.763420i \(0.723519\pi\)
\(228\) −1.96005 3.44246i −0.129807 0.227983i
\(229\) 1.79196 11.8889i 0.118416 0.785638i −0.848250 0.529596i \(-0.822343\pi\)
0.966666 0.256042i \(-0.0824184\pi\)
\(230\) 1.97838 + 3.45053i 0.130450 + 0.227521i
\(231\) 2.66216 2.65189i 0.175157 0.174482i
\(232\) 3.98854 4.91011i 0.261861 0.322365i
\(233\) −1.71189 22.8436i −0.112150 1.49653i −0.715250 0.698869i \(-0.753687\pi\)
0.603100 0.797666i \(-0.293932\pi\)
\(234\) −0.503229 1.05304i −0.0328971 0.0688394i
\(235\) 7.72577 3.03214i 0.503974 0.197795i
\(236\) 2.78247 + 12.5373i 0.181123 + 0.816106i
\(237\) 3.85006 3.07032i 0.250088 0.199439i
\(238\) −26.2286 3.08639i −1.70015 0.200061i
\(239\) 1.01055 + 0.805883i 0.0653667 + 0.0521282i 0.655628 0.755084i \(-0.272404\pi\)
−0.590261 + 0.807212i \(0.700975\pi\)
\(240\) 2.13516 + 1.26716i 0.137824 + 0.0817946i
\(241\) −5.92591 0.444086i −0.381722 0.0286061i −0.117512 0.993071i \(-0.537492\pi\)
−0.264209 + 0.964465i \(0.585111\pi\)
\(242\) −7.95044 + 9.90837i −0.511073 + 0.636934i
\(243\) 0.733052 0.680173i 0.0470253 0.0436331i
\(244\) 18.4059 + 1.49050i 1.17832 + 0.0954193i
\(245\) −0.341446 + 4.33157i −0.0218142 + 0.276734i
\(246\) −0.175147 0.189903i −0.0111669 0.0121078i
\(247\) −1.11180 1.19824i −0.0707423 0.0762421i
\(248\) 9.45933 + 8.93683i 0.600668 + 0.567489i
\(249\) −0.182073 + 2.42960i −0.0115384 + 0.153970i
\(250\) 7.86581 3.05989i 0.497478 0.193524i
\(251\) −7.03991 + 8.82777i −0.444355 + 0.557204i −0.952685 0.303959i \(-0.901692\pi\)
0.508330 + 0.861162i \(0.330263\pi\)
\(252\) −4.65853 2.50960i −0.293460 0.158090i
\(253\) −4.01227 5.03122i −0.252249 0.316310i
\(254\) −19.1457 11.1306i −1.20131 0.698393i
\(255\) 1.60062 + 4.07832i 0.100235 + 0.255394i
\(256\) 12.9996 + 9.32794i 0.812475 + 0.582996i
\(257\) 3.00243 0.225001i 0.187287 0.0140352i 0.0192434 0.999815i \(-0.493874\pi\)
0.168043 + 0.985780i \(0.446255\pi\)
\(258\) 7.84113 11.4270i 0.488168 0.711413i
\(259\) −16.0499 + 25.4340i −0.997290 + 1.58039i
\(260\) 0.977165 + 0.307852i 0.0606012 + 0.0190922i
\(261\) 2.21158 + 0.333342i 0.136893 + 0.0206334i
\(262\) −0.763139 + 3.29787i −0.0471469 + 0.203743i
\(263\) 12.4143 + 7.16740i 0.765499 + 0.441961i 0.831267 0.555874i \(-0.187616\pi\)
−0.0657675 + 0.997835i \(0.520950\pi\)
\(264\) −3.72600 1.50121i −0.229320 0.0923930i
\(265\) −1.48658 + 3.08692i −0.0913201 + 0.189628i
\(266\) −7.27493 1.41371i −0.446054 0.0866799i
\(267\) −0.279920 0.581260i −0.0171308 0.0355725i
\(268\) 0.883803 + 0.713531i 0.0539869 + 0.0435859i
\(269\) −19.4784 + 20.9927i −1.18762 + 1.27995i −0.236317 + 0.971676i \(0.575940\pi\)
−0.951299 + 0.308270i \(0.900250\pi\)
\(270\) −0.00263493 + 0.877819i −0.000160357 + 0.0534224i
\(271\) 14.3291 + 9.76944i 0.870433 + 0.593451i 0.914052 0.405597i \(-0.132936\pi\)
−0.0436190 + 0.999048i \(0.513889\pi\)
\(272\) 7.99732 + 27.0767i 0.484909 + 1.64177i
\(273\) −2.10796 0.569194i −0.127579 0.0344492i
\(274\) 20.1169 6.13917i 1.21531 0.370881i
\(275\) −5.67594 + 3.27701i −0.342272 + 0.197611i
\(276\) −5.14970 + 7.45665i −0.309976 + 0.448838i
\(277\) 3.56330 2.42942i 0.214098 0.145970i −0.451523 0.892259i \(-0.649119\pi\)
0.665621 + 0.746290i \(0.268167\pi\)
\(278\) −3.26839 + 2.21401i −0.196025 + 0.132787i
\(279\) −1.02380 + 4.48554i −0.0612930 + 0.268542i
\(280\) 4.40086 1.48610i 0.263002 0.0888117i
\(281\) 7.05006 + 30.8883i 0.420571 + 1.84264i 0.529113 + 0.848551i \(0.322525\pi\)
−0.108542 + 0.994092i \(0.534618\pi\)
\(282\) 13.8228 + 12.9031i 0.823134 + 0.768368i
\(283\) −20.1599 6.21850i −1.19838 0.369651i −0.369582 0.929198i \(-0.620499\pi\)
−0.828799 + 0.559547i \(0.810975\pi\)
\(284\) 4.14710 + 13.7368i 0.246085 + 0.815131i
\(285\) 0.362382 + 1.17482i 0.0214657 + 0.0695900i
\(286\) −1.63831 0.251967i −0.0968753 0.0148991i
\(287\) −0.483006 + 0.0171382i −0.0285109 + 0.00101164i
\(288\) −0.507349 + 5.63406i −0.0298958 + 0.331990i
\(289\) −11.9902 + 30.5504i −0.705304 + 1.79709i
\(290\) −1.53864 + 1.21949i −0.0903522 + 0.0716108i
\(291\) −2.54752 16.9017i −0.149338 0.990796i
\(292\) 5.37546 4.23424i 0.314575 0.247790i
\(293\) 11.4174i 0.667012i 0.942748 + 0.333506i \(0.108232\pi\)
−0.942748 + 0.333506i \(0.891768\pi\)
\(294\) −9.23980 + 3.55333i −0.538876 + 0.207234i
\(295\) 3.98571i 0.232057i
\(296\) 31.7476 + 5.07797i 1.84529 + 0.295151i
\(297\) −0.211676 1.40438i −0.0122827 0.0814904i
\(298\) −6.57098 8.29068i −0.380647 0.480266i
\(299\) −1.36613 + 3.48083i −0.0790051 + 0.201302i
\(300\) 6.72784 + 6.31811i 0.388432 + 0.364776i
\(301\) −6.66199 25.0565i −0.383991 1.44423i
\(302\) 3.74801 24.3699i 0.215674 1.40233i
\(303\) −2.99053 9.69505i −0.171801 0.556966i
\(304\) 1.67010 + 7.74468i 0.0957870 + 0.444188i
\(305\) −5.47648 1.68927i −0.313582 0.0967274i
\(306\) −6.81135 + 7.29683i −0.389379 + 0.417132i
\(307\) −1.61490 7.07536i −0.0921675 0.403812i 0.907708 0.419603i \(-0.137831\pi\)
−0.999875 + 0.0157907i \(0.994973\pi\)
\(308\) −6.67198 + 3.45879i −0.380171 + 0.197083i
\(309\) 3.41339 14.9550i 0.194181 0.850762i
\(310\) −2.26509 3.34380i −0.128649 0.189915i
\(311\) 16.8070 11.4588i 0.953039 0.649771i 0.0163252 0.999867i \(-0.494803\pi\)
0.936714 + 0.350096i \(0.113851\pi\)
\(312\) 0.327097 + 2.31118i 0.0185182 + 0.130845i
\(313\) −9.81461 + 5.66647i −0.554755 + 0.320288i −0.751038 0.660260i \(-0.770446\pi\)
0.196283 + 0.980547i \(0.437113\pi\)
\(314\) 2.59244 + 8.49493i 0.146300 + 0.479397i
\(315\) 1.24271 + 1.07363i 0.0700189 + 0.0604920i
\(316\) −9.18945 + 3.54308i −0.516947 + 0.199314i
\(317\) −10.9993 7.49919i −0.617782 0.421197i 0.213582 0.976925i \(-0.431487\pi\)
−0.831364 + 0.555729i \(0.812439\pi\)
\(318\) −7.80615 0.0234315i −0.437747 0.00131397i
\(319\) 2.16054 2.32851i 0.120967 0.130372i
\(320\) −3.31144 3.70037i −0.185115 0.206857i
\(321\) −4.13464 8.58567i −0.230773 0.479206i
\(322\) 4.30706 + 16.3974i 0.240023 + 0.913789i
\(323\) −6.06576 + 12.5957i −0.337508 + 0.700842i
\(324\) −1.80711 + 0.856934i −0.100395 + 0.0476075i
\(325\) 3.29815 + 1.90419i 0.182948 + 0.105625i
\(326\) 4.46737 + 1.03377i 0.247425 + 0.0572550i
\(327\) 4.96470 + 0.748308i 0.274548 + 0.0413815i
\(328\) 0.219978 + 0.467512i 0.0121463 + 0.0258140i
\(329\) 35.1611 3.89291i 1.93849 0.214623i
\(330\) 1.02798 + 0.705393i 0.0565883 + 0.0388306i
\(331\) −14.7413 + 1.10471i −0.810258 + 0.0607204i −0.473414 0.880840i \(-0.656979\pi\)
−0.336844 + 0.941561i \(0.609359\pi\)
\(332\) 1.80744 4.52522i 0.0991963 0.248353i
\(333\) 4.15289 + 10.5814i 0.227577 + 0.579856i
\(334\) −12.3304 + 21.2096i −0.674691 + 1.16054i
\(335\) −0.219799 0.275619i −0.0120089 0.0150587i
\(336\) 7.37828 + 7.58689i 0.402518 + 0.413899i
\(337\) −12.2912 + 15.4127i −0.669546 + 0.839584i −0.994345 0.106199i \(-0.966132\pi\)
0.324799 + 0.945783i \(0.394703\pi\)
\(338\) −6.31612 16.2363i −0.343552 0.883141i
\(339\) 0.379511 5.06422i 0.0206122 0.275051i
\(340\) −0.602343 8.74161i −0.0326666 0.474080i
\(341\) 4.44451 + 4.79005i 0.240684 + 0.259396i
\(342\) −2.05906 + 1.89906i −0.111341 + 0.102689i
\(343\) −6.21809 + 17.4452i −0.335745 + 0.941953i
\(344\) −21.8248 + 17.0855i −1.17672 + 0.921188i
\(345\) 2.06169 1.91297i 0.110998 0.102991i
\(346\) 15.9329 + 12.7845i 0.856555 + 0.687296i
\(347\) −32.8163 2.45924i −1.76167 0.132019i −0.845803 0.533495i \(-0.820878\pi\)
−0.915870 + 0.401476i \(0.868497\pi\)
\(348\) −4.01842 1.96498i −0.215410 0.105334i
\(349\) 8.98286 + 7.16359i 0.480841 + 0.383458i 0.833699 0.552219i \(-0.186219\pi\)
−0.352858 + 0.935677i \(0.614790\pi\)
\(350\) 17.1674 1.84857i 0.917638 0.0988103i
\(351\) −0.645220 + 0.514546i −0.0344393 + 0.0274644i
\(352\) 6.20544 + 5.10289i 0.330751 + 0.271985i
\(353\) −17.8587 + 7.00902i −0.950522 + 0.373052i −0.789398 0.613882i \(-0.789607\pi\)
−0.161124 + 0.986934i \(0.551512\pi\)
\(354\) 8.19339 3.91547i 0.435474 0.208105i
\(355\) −0.332801 4.44092i −0.0176632 0.235700i
\(356\) 0.184646 + 1.27702i 0.00978622 + 0.0676819i
\(357\) 2.05501 + 18.5610i 0.108763 + 0.982352i
\(358\) 18.0590 10.3542i 0.954449 0.547238i
\(359\) −1.27705 + 8.47270i −0.0674003 + 0.447172i 0.929521 + 0.368768i \(0.120220\pi\)
−0.996922 + 0.0784036i \(0.975018\pi\)
\(360\) 0.532572 1.67292i 0.0280690 0.0881706i
\(361\) 7.53846 13.0570i 0.396761 0.687210i
\(362\) −2.81748 + 9.03764i −0.148083 + 0.475008i
\(363\) 8.09332 + 3.89754i 0.424789 + 0.204568i
\(364\) 3.67901 + 2.35260i 0.192833 + 0.123310i
\(365\) −1.91341 + 0.921449i −0.100152 + 0.0482309i
\(366\) −1.90736 12.9175i −0.0996992 0.675207i
\(367\) −8.93750 8.29279i −0.466534 0.432880i 0.411550 0.911387i \(-0.364988\pi\)
−0.878084 + 0.478507i \(0.841178\pi\)
\(368\) 14.3047 11.1293i 0.745683 0.580153i
\(369\) −0.102904 + 0.150932i −0.00535696 + 0.00785722i
\(370\) −9.27760 3.67337i −0.482319 0.190969i
\(371\) −9.54740 + 11.0510i −0.495677 + 0.573740i
\(372\) 4.64865 7.94122i 0.241021 0.411733i
\(373\) 10.7356 + 18.5947i 0.555871 + 0.962796i 0.997835 + 0.0657637i \(0.0209484\pi\)
−0.441965 + 0.897033i \(0.645718\pi\)
\(374\) 3.11312 + 13.8307i 0.160975 + 0.715168i
\(375\) −3.36189 4.93099i −0.173607 0.254635i
\(376\) −18.6135 32.9207i −0.959920 1.69776i
\(377\) −1.79949 0.410721i −0.0926782 0.0211532i
\(378\) −0.986233 + 3.60934i −0.0507263 + 0.185644i
\(379\) 13.3984 3.05810i 0.688230 0.157084i 0.135916 0.990720i \(-0.456602\pi\)
0.552314 + 0.833636i \(0.313745\pi\)
\(380\) 0.0147613 2.45883i 0.000757240 0.126135i
\(381\) −4.61576 + 14.9639i −0.236473 + 0.766625i
\(382\) −3.41979 + 7.04708i −0.174972 + 0.360560i
\(383\) −7.00739 + 2.16149i −0.358061 + 0.110447i −0.468566 0.883428i \(-0.655229\pi\)
0.110505 + 0.993876i \(0.464753\pi\)
\(384\) 4.35372 10.4425i 0.222175 0.532890i
\(385\) 2.25409 0.599316i 0.114879 0.0305440i
\(386\) −1.69645 23.5875i −0.0863471 1.20057i
\(387\) −9.12207 3.58015i −0.463701 0.181989i
\(388\) −5.29789 + 33.7722i −0.268959 + 1.71453i
\(389\) −24.9594 + 3.76203i −1.26549 + 0.190742i −0.747280 0.664509i \(-0.768641\pi\)
−0.518213 + 0.855252i \(0.673403\pi\)
\(390\) 0.0563056 0.722248i 0.00285115 0.0365724i
\(391\) 31.9813 1.61736
\(392\) 19.7610 1.22537i 0.998083 0.0618905i
\(393\) 2.39356 0.120739
\(394\) −0.367497 + 4.71398i −0.0185142 + 0.237487i
\(395\) 3.02252 0.455571i 0.152079 0.0229223i
\(396\) −0.440207 + 2.80617i −0.0221212 + 0.141015i
\(397\) −15.6055 6.12471i −0.783218 0.307390i −0.0601698 0.998188i \(-0.519164\pi\)
−0.723048 + 0.690798i \(0.757259\pi\)
\(398\) −0.339103 4.71488i −0.0169977 0.236336i
\(399\) 0.185824 + 5.23708i 0.00930285 + 0.262182i
\(400\) −9.03683 16.0955i −0.451841 0.804775i
\(401\) −9.77007 + 3.01367i −0.487894 + 0.150495i −0.528935 0.848662i \(-0.677409\pi\)
0.0410415 + 0.999157i \(0.486932\pi\)
\(402\) 0.350663 0.722602i 0.0174895 0.0360401i
\(403\) 1.11918 3.62828i 0.0557502 0.180738i
\(404\) −0.121816 + 20.2912i −0.00606059 + 1.00953i
\(405\) 0.605152 0.138122i 0.0300703 0.00686334i
\(406\) −7.68662 + 3.30859i −0.381481 + 0.164203i
\(407\) 15.7394 + 3.59240i 0.780171 + 0.178069i
\(408\) 17.3783 9.82580i 0.860356 0.486450i
\(409\) −17.4433 25.5846i −0.862514 1.26508i −0.962827 0.270120i \(-0.912937\pi\)
0.100313 0.994956i \(-0.468016\pi\)
\(410\) −0.0352130 0.156441i −0.00173905 0.00772609i
\(411\) −7.43622 12.8799i −0.366802 0.635319i
\(412\) −15.4988 + 26.4764i −0.763573 + 1.30440i
\(413\) 4.42872 16.4014i 0.217923 0.807059i
\(414\) 5.95785 + 2.35895i 0.292812 + 0.115936i
\(415\) −0.851919 + 1.24954i −0.0418190 + 0.0613373i
\(416\) 0.764993 4.60532i 0.0375069 0.225794i
\(417\) 2.04627 + 1.89866i 0.100206 + 0.0929776i
\(418\) 0.581116 + 3.93557i 0.0284233 + 0.192495i
\(419\) 15.2156 7.32746i 0.743332 0.357970i −0.0235800 0.999722i \(-0.507506\pi\)
0.766912 + 0.641752i \(0.221792\pi\)
\(420\) −1.72534 2.79486i −0.0841881 0.136375i
\(421\) 30.9897 + 14.9238i 1.51034 + 0.727343i 0.991811 0.127714i \(-0.0407641\pi\)
0.518533 + 0.855058i \(0.326478\pi\)
\(422\) 9.72103 31.1822i 0.473212 1.51792i
\(423\) 6.68542 11.5795i 0.325056 0.563014i
\(424\) 14.8767 + 4.73598i 0.722477 + 0.230000i
\(425\) 4.85459 32.2081i 0.235482 1.56232i
\(426\) 8.80223 5.04680i 0.426469 0.244518i
\(427\) −20.6590 13.0366i −0.999757 0.630887i
\(428\) 2.72737 + 18.8626i 0.131833 + 0.911758i
\(429\) 0.0875897 + 1.16880i 0.00422887 + 0.0564304i
\(430\) 7.76149 3.70908i 0.374292 0.178868i
\(431\) 20.7106 8.12830i 0.997593 0.391526i 0.190331 0.981720i \(-0.439044\pi\)
0.807262 + 0.590194i \(0.200949\pi\)
\(432\) 3.96220 0.548637i 0.190631 0.0263963i
\(433\) 19.6127 15.6406i 0.942528 0.751641i −0.0262284 0.999656i \(-0.508350\pi\)
0.968756 + 0.248015i \(0.0797783\pi\)
\(434\) −5.60550 16.2768i −0.269073 0.781311i
\(435\) 1.08539 + 0.865571i 0.0520405 + 0.0415009i
\(436\) −9.02081 4.41110i −0.432018 0.211253i
\(437\) 8.94942 + 0.670667i 0.428109 + 0.0320823i
\(438\) −3.77391 3.02817i −0.180324 0.144691i
\(439\) 11.0750 10.2761i 0.528579 0.490449i −0.370139 0.928976i \(-0.620690\pi\)
0.898718 + 0.438527i \(0.144500\pi\)
\(440\) −1.53702 1.96337i −0.0732746 0.0936002i
\(441\) 3.92086 + 5.79887i 0.186708 + 0.276137i
\(442\) 6.05548 5.58493i 0.288030 0.265648i
\(443\) −1.74084 1.87618i −0.0827099 0.0891400i 0.690341 0.723484i \(-0.257461\pi\)
−0.773051 + 0.634344i \(0.781270\pi\)
\(444\) −1.56281 22.6805i −0.0741675 1.07637i
\(445\) 0.0299260 0.399334i 0.00141863 0.0189303i
\(446\) 5.90696 + 15.1846i 0.279703 + 0.719009i
\(447\) −4.66396 + 5.84842i −0.220598 + 0.276621i
\(448\) −9.51509 18.9067i −0.449546 0.893257i
\(449\) 7.89498 + 9.89999i 0.372587 + 0.467210i 0.932410 0.361403i \(-0.117702\pi\)
−0.559823 + 0.828613i \(0.689131\pi\)
\(450\) 3.28005 5.64203i 0.154623 0.265968i
\(451\) 0.0947846 + 0.241507i 0.00446323 + 0.0113721i
\(452\) −3.76740 + 9.43228i −0.177204 + 0.443657i
\(453\) −17.3860 + 1.30290i −0.816864 + 0.0612155i
\(454\) −34.5786 23.7277i −1.62285 1.11359i
\(455\) −0.956489 0.960193i −0.0448409 0.0450146i
\(456\) 5.06909 2.38515i 0.237382 0.111695i
\(457\) 2.16619 + 0.326500i 0.101330 + 0.0152730i 0.199511 0.979895i \(-0.436064\pi\)
−0.0981815 + 0.995169i \(0.531303\pi\)
\(458\) 16.5656 + 3.83333i 0.774058 + 0.179120i
\(459\) 6.11264 + 3.52913i 0.285313 + 0.164726i
\(460\) −5.08248 + 2.41011i −0.236972 + 0.112372i
\(461\) 13.8404 28.7399i 0.644612 1.33855i −0.280866 0.959747i \(-0.590622\pi\)
0.925477 0.378803i \(-0.123664\pi\)
\(462\) 3.44638 + 4.04496i 0.160340 + 0.188189i
\(463\) 5.31504 + 11.0368i 0.247011 + 0.512924i 0.987202 0.159473i \(-0.0509794\pi\)
−0.740191 + 0.672396i \(0.765265\pi\)
\(464\) 6.48453 + 6.16329i 0.301037 + 0.286124i
\(465\) −1.94247 + 2.09348i −0.0900797 + 0.0970829i
\(466\) 32.3962 + 0.0972428i 1.50072 + 0.00450469i
\(467\) −3.65043 2.48882i −0.168922 0.115169i 0.475908 0.879495i \(-0.342119\pi\)
−0.644830 + 0.764326i \(0.723072\pi\)
\(468\) 1.54003 0.593774i 0.0711880 0.0274472i
\(469\) −0.598229 1.37842i −0.0276237 0.0636494i
\(470\) 3.42593 + 11.2261i 0.158026 + 0.517822i
\(471\) 5.43891 3.14016i 0.250612 0.144691i
\(472\) −17.9826 + 2.54504i −0.827715 + 0.117145i
\(473\) −11.4993 + 7.84009i −0.528738 + 0.360488i
\(474\) 3.90577 + 5.76582i 0.179398 + 0.264833i
\(475\) 2.03390 8.91109i 0.0933217 0.408869i
\(476\) 7.23458 36.6414i 0.331597 1.67946i
\(477\) 1.22827 + 5.38142i 0.0562388 + 0.246398i
\(478\) −1.24732 + 1.33622i −0.0570510 + 0.0611174i
\(479\) 24.4733 + 7.54901i 1.11821 + 0.344923i 0.798142 0.602470i \(-0.205817\pi\)
0.320072 + 0.947393i \(0.396293\pi\)
\(480\) −2.02130 + 2.87115i −0.0922593 + 0.131050i
\(481\) −2.76508 8.96417i −0.126077 0.408731i
\(482\) 1.27749 8.30634i 0.0581881 0.378344i
\(483\) 10.6096 5.58112i 0.482752 0.253950i
\(484\) −13.0963 12.2987i −0.595285 0.559032i
\(485\) 3.87614 9.87624i 0.176006 0.448457i
\(486\) 0.878425 + 1.10832i 0.0398462 + 0.0502743i
\(487\) 2.92596 + 19.4125i 0.132588 + 0.879663i 0.951921 + 0.306345i \(0.0991060\pi\)
−0.819333 + 0.573318i \(0.805656\pi\)
\(488\) −4.12462 + 25.7873i −0.186713 + 1.16733i
\(489\) 3.24238i 0.146626i
\(490\) −6.06970 0.957529i −0.274201 0.0432568i
\(491\) 9.88969i 0.446315i −0.974782 0.223158i \(-0.928364\pi\)
0.974782 0.223158i \(-0.0716365\pi\)
\(492\) 0.287003 0.226072i 0.0129391 0.0101921i
\(493\) 2.35282 + 15.6099i 0.105966 + 0.703036i
\(494\) 1.81165 1.43586i 0.0815098 0.0646026i
\(495\) 0.322072 0.820627i 0.0144761 0.0368844i
\(496\) −13.6401 + 12.3547i −0.612458 + 0.554744i
\(497\) 3.56504 18.6444i 0.159914 0.836315i
\(498\) −3.40557 0.523766i −0.152607 0.0234705i
\(499\) −7.78088 25.2250i −0.348320 1.12923i −0.945089 0.326812i \(-0.894025\pi\)
0.596769 0.802413i \(-0.296451\pi\)
\(500\) 3.44966 + 11.4266i 0.154273 + 0.511014i
\(501\) 16.5770 + 5.11334i 0.740607 + 0.228447i
\(502\) −11.6728 10.8961i −0.520982 0.486319i
\(503\) 5.25406 + 23.0195i 0.234267 + 1.02639i 0.946058 + 0.323999i \(0.105027\pi\)
−0.711791 + 0.702392i \(0.752116\pi\)
\(504\) 4.05043 6.29238i 0.180420 0.280285i
\(505\) 1.40136 6.13975i 0.0623596 0.273215i
\(506\) 7.53471 5.10402i 0.334959 0.226901i
\(507\) −10.1784 + 6.93950i −0.452038 + 0.308194i
\(508\) 17.7978 25.7708i 0.789650 1.14340i
\(509\) −10.9194 + 6.30430i −0.483992 + 0.279433i −0.722079 0.691811i \(-0.756813\pi\)
0.238087 + 0.971244i \(0.423480\pi\)
\(510\) −5.92610 + 1.80850i −0.262412 + 0.0800816i
\(511\) −8.89764 + 1.66572i −0.393608 + 0.0736872i
\(512\) −14.5807 + 17.3033i −0.644381 + 0.764705i
\(513\) 1.63651 + 1.11576i 0.0722538 + 0.0492618i
\(514\) −0.0127810 + 4.25797i −0.000563747 + 0.187811i
\(515\) 6.47628 6.97978i 0.285379 0.307566i
\(516\) 15.2494 + 12.3115i 0.671319 + 0.541984i
\(517\) −8.23939 17.1093i −0.362368 0.752465i
\(518\) −34.0961 25.4249i −1.49810 1.11711i
\(519\) 6.26732 13.0142i 0.275105 0.571261i
\(520\) −0.541458 + 1.34390i −0.0237445 + 0.0589340i
\(521\) 28.5214 + 16.4669i 1.24955 + 0.721426i 0.971019 0.239002i \(-0.0768201\pi\)
0.278528 + 0.960428i \(0.410153\pi\)
\(522\) −0.713082 + 3.08155i −0.0312107 + 0.134876i
\(523\) 18.8375 + 2.83930i 0.823707 + 0.124154i 0.547353 0.836902i \(-0.315636\pi\)
0.276354 + 0.961056i \(0.410874\pi\)
\(524\) −4.56590 1.43847i −0.199462 0.0628397i
\(525\) −4.01023 11.5320i −0.175021 0.503298i
\(526\) −11.4701 + 16.7156i −0.500121 + 0.728833i
\(527\) −32.3835 + 2.42681i −1.41065 + 0.105714i
\(528\) 2.52616 5.08842i 0.109937 0.221445i
\(529\) 0.902288 + 2.29899i 0.0392299 + 0.0999561i
\(530\) −4.18896 2.43529i −0.181957 0.105782i
\(531\) −4.00353 5.02026i −0.173738 0.217861i
\(532\) 2.79287 10.1018i 0.121086 0.437968i
\(533\) 0.0939941 0.117865i 0.00407134 0.00510530i
\(534\) 0.850307 0.330779i 0.0367964 0.0143142i
\(535\) 0.442031 5.89849i 0.0191106 0.255014i
\(536\) −1.10318 + 1.16768i −0.0476500 + 0.0504359i
\(537\) −10.0119 10.7903i −0.432047 0.465636i
\(538\) −27.4573 29.7707i −1.18377 1.28350i
\(539\) 9.94163 + 0.0384225i 0.428216 + 0.00165497i
\(540\) −1.23738 0.100202i −0.0532483 0.00431202i
\(541\) 24.1032 22.3645i 1.03628 0.961526i 0.0369926 0.999316i \(-0.488222\pi\)
0.999286 + 0.0377898i \(0.0120317\pi\)
\(542\) −15.3493 + 19.1293i −0.659309 + 0.821675i
\(543\) 6.67521 + 0.500237i 0.286460 + 0.0214672i
\(544\) −39.0555 + 8.29952i −1.67449 + 0.355839i
\(545\) 2.43655 + 1.94309i 0.104370 + 0.0832327i
\(546\) 1.03423 2.90952i 0.0442608 0.124516i
\(547\) −17.4024 + 13.8780i −0.744073 + 0.593379i −0.920411 0.390951i \(-0.872146\pi\)
0.176338 + 0.984330i \(0.443575\pi\)
\(548\) 6.44465 + 29.0383i 0.275302 + 1.24046i
\(549\) −8.59481 + 3.37322i −0.366818 + 0.143965i
\(550\) −3.99649 8.36291i −0.170411 0.356596i
\(551\) 0.331047 + 4.41752i 0.0141031 + 0.188193i
\(552\) −9.94736 8.08036i −0.423388 0.343923i
\(553\) 12.9440 + 1.48378i 0.550435 + 0.0630966i
\(554\) 3.03365 + 5.29106i 0.128888 + 0.224795i
\(555\) −1.05161 + 6.97695i −0.0446382 + 0.296155i
\(556\) −2.76236 4.85158i −0.117150 0.205753i
\(557\) −1.41455 + 2.45008i −0.0599366 + 0.103813i −0.894437 0.447194i \(-0.852423\pi\)
0.834500 + 0.551008i \(0.185757\pi\)
\(558\) −6.21179 1.93652i −0.262966 0.0819795i
\(559\) 7.28631 + 3.50890i 0.308178 + 0.148411i
\(560\) 1.61158 + 6.36828i 0.0681017 + 0.269109i
\(561\) 9.03172 4.34945i 0.381320 0.183634i
\(562\) −44.3255 + 6.54498i −1.86976 + 0.276083i
\(563\) 1.98536 + 1.84214i 0.0836729 + 0.0776371i 0.720901 0.693039i \(-0.243728\pi\)
−0.637228 + 0.770676i \(0.719919\pi\)
\(564\) −19.7119 + 18.0710i −0.830020 + 0.760925i
\(565\) 1.77573 2.60451i 0.0747053 0.109573i
\(566\) 10.9836 27.7406i 0.461675 1.16602i
\(567\) 2.64371 + 0.104037i 0.111025 + 0.00436913i
\(568\) −19.8239 + 4.33724i −0.831791 + 0.181986i
\(569\) 5.37683 + 9.31294i 0.225408 + 0.390419i 0.956442 0.291923i \(-0.0942950\pi\)
−0.731033 + 0.682342i \(0.760962\pi\)
\(570\) −1.69625 + 0.381804i −0.0710479 + 0.0159920i
\(571\) 12.7517 + 18.7034i 0.533644 + 0.782712i 0.994497 0.104765i \(-0.0334089\pi\)
−0.460853 + 0.887476i \(0.652457\pi\)
\(572\) 0.535336 2.28222i 0.0223835 0.0954243i
\(573\) 5.39992 + 1.23250i 0.225585 + 0.0514883i
\(574\) 0.0289268 0.682891i 0.00120738 0.0285033i
\(575\) −20.3852 + 4.65279i −0.850121 + 0.194035i
\(576\) −7.88789 1.33461i −0.328662 0.0556087i
\(577\) 1.93231 6.26441i 0.0804433 0.260791i −0.906413 0.422393i \(-0.861190\pi\)
0.986856 + 0.161603i \(0.0516663\pi\)
\(578\) −41.7562 20.2634i −1.73683 0.842845i
\(579\) −15.9790 + 4.92888i −0.664066 + 0.204837i
\(580\) −1.55028 2.30343i −0.0643718 0.0956447i
\(581\) −4.89411 + 4.19529i −0.203042 + 0.174050i
\(582\) 24.1103 1.73406i 0.999406 0.0718791i
\(583\) 7.29756 + 2.86408i 0.302234 + 0.118618i
\(584\) 5.37915 + 8.04446i 0.222591 + 0.332882i
\(585\) −0.506534 + 0.0763478i −0.0209426 + 0.00315659i
\(586\) −16.0978 1.25497i −0.664994 0.0518422i
\(587\) 15.9359 0.657744 0.328872 0.944375i \(-0.393332\pi\)
0.328872 + 0.944375i \(0.393332\pi\)
\(588\) −3.99436 13.4181i −0.164725 0.553353i
\(589\) −9.11289 −0.375490
\(590\) 5.61959 + 0.438097i 0.231355 + 0.0180362i
\(591\) 3.30606 0.498308i 0.135993 0.0204977i
\(592\) −10.6492 + 44.2039i −0.437680 + 1.81677i
\(593\) 17.2099 + 6.75439i 0.706726 + 0.277370i 0.691358 0.722512i \(-0.257013\pi\)
0.0153682 + 0.999882i \(0.495108\pi\)
\(594\) 2.00335 0.144085i 0.0821986 0.00591187i
\(595\) −4.65586 + 10.6153i −0.190872 + 0.435187i
\(596\) 12.4116 8.35337i 0.508398 0.342167i
\(597\) −3.19404 + 0.985230i −0.130723 + 0.0403228i
\(598\) −4.75759 2.30875i −0.194552 0.0944119i
\(599\) 11.3341 36.7443i 0.463099 1.50133i −0.359738 0.933053i \(-0.617134\pi\)
0.822837 0.568277i \(-0.192390\pi\)
\(600\) −9.64763 + 8.79135i −0.393863 + 0.358906i
\(601\) 25.2890 5.77205i 1.03156 0.235447i 0.326950 0.945042i \(-0.393979\pi\)
0.704610 + 0.709595i \(0.251122\pi\)
\(602\) 36.0602 6.63884i 1.46971 0.270579i
\(603\) −0.553703 0.126379i −0.0225485 0.00514655i
\(604\) 33.9480 + 7.96312i 1.38132 + 0.324015i
\(605\) 3.14097 + 4.60696i 0.127699 + 0.187300i
\(606\) 13.9981 3.15080i 0.568634 0.127992i
\(607\) 6.27497 + 10.8686i 0.254693 + 0.441142i 0.964812 0.262940i \(-0.0846922\pi\)
−0.710119 + 0.704082i \(0.751359\pi\)
\(608\) −11.1031 + 1.50347i −0.450289 + 0.0609736i
\(609\) 3.50466 + 4.76790i 0.142016 + 0.193205i
\(610\) 2.98372 7.53581i 0.120807 0.305116i
\(611\) −6.21597 + 9.11715i −0.251471 + 0.368841i
\(612\) −9.53938 10.4056i −0.385607 0.420622i
\(613\) −23.6124 21.9091i −0.953694 0.884899i 0.0397510 0.999210i \(-0.487344\pi\)
−0.993445 + 0.114311i \(0.963534\pi\)
\(614\) 10.1533 1.49921i 0.409754 0.0605032i
\(615\) −0.102159 + 0.0491974i −0.00411947 + 0.00198383i
\(616\) −4.14331 9.78724i −0.166939 0.394339i
\(617\) 40.1587 + 19.3394i 1.61673 + 0.778576i 0.999963 0.00857046i \(-0.00272810\pi\)
0.616766 + 0.787146i \(0.288442\pi\)
\(618\) 20.7104 + 6.45647i 0.833096 + 0.259717i
\(619\) 14.0111 24.2679i 0.563153 0.975409i −0.434066 0.900881i \(-0.642922\pi\)
0.997219 0.0745283i \(-0.0237451\pi\)
\(620\) 4.96352 2.82610i 0.199340 0.113499i
\(621\) 0.675316 4.48043i 0.0270995 0.179793i
\(622\) 14.3088 + 24.9563i 0.573732 + 1.00066i
\(623\) 0.566867 1.61003i 0.0227111 0.0645044i
\(624\) −3.29457 + 0.207149i −0.131888 + 0.00829258i
\(625\) 1.44746 + 19.3150i 0.0578983 + 0.772599i
\(626\) −6.91056 14.4608i −0.276202 0.577970i
\(627\) 2.61859 1.02772i 0.104576 0.0410432i
\(628\) −12.2623 + 2.72144i −0.489317 + 0.108597i
\(629\) −62.7282 + 50.0241i −2.50114 + 1.99459i
\(630\) −1.65034 + 1.63413i −0.0657511 + 0.0651055i
\(631\) 30.7864 + 24.5514i 1.22559 + 0.977374i 0.999995 + 0.00315261i \(0.00100351\pi\)
0.225593 + 0.974222i \(0.427568\pi\)
\(632\) −3.98544 13.3460i −0.158532 0.530875i
\(633\) −23.0312 1.72595i −0.915406 0.0686002i
\(634\) 11.7824 14.6840i 0.467938 0.583176i
\(635\) −7.12539 + 6.61140i −0.282762 + 0.262365i
\(636\) 0.891066 11.0036i 0.0353330 0.436321i
\(637\) −2.86908 5.01405i −0.113677 0.198664i
\(638\) 3.04557 + 3.30217i 0.120575 + 0.130734i
\(639\) −4.87996 5.25935i −0.193048 0.208056i
\(640\) 5.58126 4.26219i 0.220619 0.168478i
\(641\) −0.908690 + 12.1256i −0.0358911 + 0.478934i 0.950079 + 0.312010i \(0.101002\pi\)
−0.985970 + 0.166923i \(0.946617\pi\)
\(642\) 12.5597 4.88587i 0.495692 0.192830i
\(643\) 8.80422 11.0401i 0.347205 0.435381i −0.577311 0.816524i \(-0.695898\pi\)
0.924516 + 0.381143i \(0.124470\pi\)
\(644\) −23.5926 + 4.27033i −0.929680 + 0.168274i
\(645\) −3.79249 4.75563i −0.149329 0.187253i
\(646\) −17.0924 9.93680i −0.672490 0.390958i
\(647\) −8.22345 20.9530i −0.323297 0.823748i −0.996445 0.0842405i \(-0.973154\pi\)
0.673148 0.739508i \(-0.264942\pi\)
\(648\) −1.00959 2.64211i −0.0396604 0.103792i
\(649\) −9.09411 + 0.681509i −0.356975 + 0.0267516i
\(650\) −3.04730 + 4.44087i −0.119525 + 0.174185i
\(651\) −10.3195 + 6.45640i −0.404454 + 0.253046i
\(652\) −1.94858 + 6.18508i −0.0763125 + 0.242226i
\(653\) 3.42559 + 0.516325i 0.134054 + 0.0202054i 0.215726 0.976454i \(-0.430788\pi\)
−0.0816725 + 0.996659i \(0.526026\pi\)
\(654\) −1.60077 + 6.91765i −0.0625951 + 0.270502i
\(655\) 1.28667 + 0.742861i 0.0502744 + 0.0290260i
\(656\) −0.683342 + 0.258767i −0.0266800 + 0.0101032i
\(657\) −1.48450 + 3.08259i −0.0579157 + 0.120263i
\(658\) 1.62395 + 50.0028i 0.0633083 + 1.94931i
\(659\) 5.06565 + 10.5189i 0.197330 + 0.409760i 0.976030 0.217637i \(-0.0698348\pi\)
−0.778700 + 0.627396i \(0.784121\pi\)
\(660\) −1.10755 + 1.37185i −0.0431113 + 0.0533991i
\(661\) 13.2529 14.2833i 0.515480 0.555555i −0.420644 0.907226i \(-0.638196\pi\)
0.936124 + 0.351671i \(0.114386\pi\)
\(662\) 0.0627523 20.9058i 0.00243894 0.812526i
\(663\) −4.81281 3.28132i −0.186914 0.127436i
\(664\) 6.18159 + 3.04577i 0.239892 + 0.118199i
\(665\) −1.52548 + 2.87289i −0.0591555 + 0.111406i
\(666\) −15.3755 + 4.69223i −0.595790 + 0.181820i
\(667\) 8.77625 5.06697i 0.339818 0.196194i
\(668\) −28.5489 19.7164i −1.10459 0.762851i
\(669\) 9.51902 6.48996i 0.368027 0.250916i
\(670\) 0.412765 0.279607i 0.0159465 0.0108022i
\(671\) −2.91796 + 12.7844i −0.112647 + 0.493537i
\(672\) −11.5080 + 9.56897i −0.443932 + 0.369131i
\(673\) 2.19095 + 9.59916i 0.0844548 + 0.370020i 0.999440 0.0334673i \(-0.0106549\pi\)
−0.914985 + 0.403488i \(0.867798\pi\)
\(674\) −20.3799 19.0240i −0.785005 0.732775i
\(675\) −4.40969 1.36021i −0.169729 0.0523545i
\(676\) 23.5864 7.12067i 0.907171 0.273872i
\(677\) −4.23533 13.7306i −0.162777 0.527709i 0.837034 0.547151i \(-0.184287\pi\)
−0.999811 + 0.0194412i \(0.993811\pi\)
\(678\) 7.09851 + 1.09173i 0.272616 + 0.0419276i
\(679\) 26.9245 36.3342i 1.03327 1.39438i
\(680\) 12.3913 + 0.111587i 0.475185 + 0.00427916i
\(681\) −10.8337 + 27.6038i −0.415149 + 1.05778i
\(682\) −7.24219 + 5.73997i −0.277318 + 0.219795i
\(683\) −4.27065 28.3339i −0.163412 1.08417i −0.908707 0.417433i \(-0.862930\pi\)
0.745295 0.666734i \(-0.232308\pi\)
\(684\) −2.45123 3.11188i −0.0937250 0.118986i
\(685\) 9.23154i 0.352719i
\(686\) −23.9131 10.6846i −0.913008 0.407941i
\(687\) 12.0231i 0.458712i
\(688\) −21.6905 32.6496i −0.826943 1.24475i
\(689\) −0.678935 4.50444i −0.0258654 0.171606i
\(690\) 2.47055 + 3.11712i 0.0940524 + 0.118667i
\(691\) −10.2607 + 26.1439i −0.390336 + 0.994559i 0.591749 + 0.806122i \(0.298437\pi\)
−0.982085 + 0.188437i \(0.939658\pi\)
\(692\) −19.7765 + 21.0591i −0.751791 + 0.800546i
\(693\) 2.23718 3.01905i 0.0849836 0.114684i
\(694\) 7.07445 45.9986i 0.268542 1.74608i
\(695\) 0.510718 + 1.65571i 0.0193726 + 0.0628045i
\(696\) 3.21218 5.44973i 0.121757 0.206572i
\(697\) −1.23208 0.380046i −0.0466683 0.0143953i
\(698\) −11.0876 + 11.8778i −0.419671 + 0.449583i
\(699\) −5.09744 22.3333i −0.192803 0.844724i
\(700\) 0.719375 + 24.4082i 0.0271898 + 0.922542i
\(701\) −5.93530 + 26.0042i −0.224173 + 0.982167i 0.730126 + 0.683313i \(0.239461\pi\)
−0.954299 + 0.298854i \(0.903396\pi\)
\(702\) −0.654556 0.966276i −0.0247046 0.0364698i
\(703\) −18.6025 + 12.6830i −0.701606 + 0.478347i
\(704\) −7.87683 + 8.18837i −0.296869 + 0.308611i
\(705\) 7.18756 4.14974i 0.270699 0.156288i
\(706\) −7.91929 25.9500i −0.298046 0.976641i
\(707\) 12.5889 23.7083i 0.473452 0.891641i
\(708\) 4.61997 + 11.9825i 0.173629 + 0.450331i
\(709\) 11.8025 + 8.04682i 0.443253 + 0.302205i 0.764303 0.644858i \(-0.223083\pi\)
−0.321050 + 0.947062i \(0.604036\pi\)
\(710\) 6.29799 + 0.0189045i 0.236359 + 0.000709474i
\(711\) 3.34945 3.60985i 0.125614 0.135380i
\(712\) −1.82081 + 0.119973i −0.0682378 + 0.00449618i
\(713\) 9.04510 + 18.7823i 0.338742 + 0.703404i
\(714\) −26.3957 + 0.857260i −0.987834 + 0.0320821i
\(715\) −0.315663 + 0.655480i −0.0118051 + 0.0245136i
\(716\) 12.6138 + 26.6002i 0.471400 + 0.994095i
\(717\) 1.11937 + 0.646268i 0.0418036 + 0.0241353i
\(718\) −11.8056 2.73186i −0.440581 0.101952i
\(719\) −6.13733 0.925053i −0.228884 0.0344987i 0.0335989 0.999435i \(-0.489303\pi\)
−0.262483 + 0.964937i \(0.584541\pi\)
\(720\) 2.30017 + 0.934774i 0.0857223 + 0.0348370i
\(721\) 34.4058 21.5260i 1.28134 0.801669i
\(722\) 17.5809 + 12.0639i 0.654294 + 0.448973i
\(723\) −5.92591 + 0.444086i −0.220387 + 0.0165157i
\(724\) −12.4328 4.96586i −0.462062 0.184555i
\(725\) −3.77072 9.60763i −0.140041 0.356819i
\(726\) −6.38487 + 10.9827i −0.236965 + 0.407605i
\(727\) −26.9650 33.8130i −1.00008 1.25405i −0.967046 0.254600i \(-0.918056\pi\)
−0.0330286 0.999454i \(-0.510515\pi\)
\(728\) −3.72141 + 4.92858i −0.137924 + 0.182665i
\(729\) 0.623490 0.781831i 0.0230922 0.0289567i
\(730\) −1.08887 2.79907i −0.0403008 0.103598i
\(731\) 5.16888 68.9739i 0.191178 2.55109i
\(732\) 18.4224 1.26940i 0.680913 0.0469185i
\(733\) 28.5166 + 30.7335i 1.05328 + 1.13517i 0.990552 + 0.137139i \(0.0437907\pi\)
0.0627314 + 0.998030i \(0.480019\pi\)
\(734\) 12.6747 11.6898i 0.467831 0.431478i
\(735\) 0.307955 + 4.33408i 0.0113591 + 0.159865i
\(736\) 14.1192 + 21.3920i 0.520442 + 0.788519i
\(737\) −0.591292 + 0.548639i −0.0217805 + 0.0202094i
\(738\) −0.201494 0.161678i −0.00741709 0.00595144i
\(739\) −4.01561 0.300928i −0.147717 0.0110698i 0.000666522 1.00000i \(-0.499788\pi\)
−0.148383 + 0.988930i \(0.547407\pi\)
\(740\) 6.19897 12.6771i 0.227879 0.466018i
\(741\) −1.27797 1.01915i −0.0469475 0.0374394i
\(742\) −14.5318 14.6759i −0.533479 0.538770i
\(743\) 5.17603 4.12774i 0.189890 0.151432i −0.523930 0.851761i \(-0.675535\pi\)
0.713820 + 0.700329i \(0.246963\pi\)
\(744\) 10.6856 + 7.42717i 0.391755 + 0.272293i
\(745\) −4.32223 + 1.69635i −0.158354 + 0.0621495i
\(746\) −27.3973 + 13.0927i −1.00309 + 0.479358i
\(747\) 0.182073 + 2.42960i 0.00666172 + 0.0888944i
\(748\) −19.8426 + 2.86907i −0.725516 + 0.104903i
\(749\) 8.37309 23.7814i 0.305946 0.868953i
\(750\) 7.32191 4.19805i 0.267358 0.153291i
\(751\) −0.545381 + 3.61836i −0.0199012 + 0.132036i −0.996575 0.0826917i \(-0.973648\pi\)
0.976674 + 0.214728i \(0.0688864\pi\)
\(752\) 48.4620 22.6253i 1.76723 0.825061i
\(753\) −5.64557 + 9.77841i −0.205736 + 0.356345i
\(754\) 0.776884 2.49201i 0.0282924 0.0907538i
\(755\) −9.75027 4.69548i −0.354849 0.170886i
\(756\) −4.98053 1.78725i −0.181140 0.0650017i
\(757\) −37.6886 + 18.1499i −1.36982 + 0.659669i −0.966802 0.255525i \(-0.917752\pi\)
−0.403014 + 0.915194i \(0.632037\pi\)
\(758\) 2.83901 + 19.2270i 0.103118 + 0.698357i
\(759\) −4.71732 4.37703i −0.171228 0.158876i
\(760\) 3.46516 + 0.291079i 0.125695 + 0.0105586i
\(761\) 23.6599 34.7027i 0.857670 1.25797i −0.106934 0.994266i \(-0.534103\pi\)
0.964604 0.263704i \(-0.0849443\pi\)
\(762\) −20.5908 8.15271i −0.745927 0.295342i
\(763\) 7.86747 + 10.7033i 0.284822 + 0.387485i
\(764\) −9.56004 5.59628i −0.345870 0.202466i
\(765\) 2.19058 + 3.79420i 0.0792008 + 0.137180i
\(766\) −2.27734 10.1176i −0.0822835 0.365562i
\(767\) 2.98513 + 4.37838i 0.107787 + 0.158094i
\(768\) 14.2447 + 7.28627i 0.514010 + 0.262921i
\(769\) 22.9129 + 5.22973i 0.826262 + 0.188589i 0.614685 0.788772i \(-0.289283\pi\)
0.211577 + 0.977361i \(0.432140\pi\)
\(770\) 0.597234 + 3.24400i 0.0215228 + 0.116906i
\(771\)