Properties

Label 588.2.ba.a.187.14
Level $588$
Weight $2$
Character 588.187
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 187.14
Character \(\chi\) \(=\) 588.187
Dual form 588.2.ba.a.283.14

$q$-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 \(\left(\mathbb{Z}/588\mathbb{Z}\right)^\times\).

\(n\) \(197\) \(295\) \(493\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{23}{42}\right)\)

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 −0.232603 0.972572i \(-0.574724\pi\)
0.491006 + 0.871156i \(0.336629\pi\)
\(6\) 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 0.996523 0.0833222i \(-0.0265531\pi\)
−0.870303 + 0.492517i \(0.836077\pi\)
\(12\) −1.99996 + 0.0120066i −0.577340 + 0.00346600i
\(13\) −0.804577 0.183639i −0.223149 0.0509324i 0.109484 0.993989i \(-0.465080\pi\)
−0.332634 + 0.943056i \(0.607937\pi\)
\(14\) −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 0.0549414 0.998490i \(-0.482503\pi\)
0.909395 0.415933i \(-0.136545\pi\)
\(18\) 0.310552 1.37969i 0.0731978 0.325197i
\(19\) 0.990339 1.71532i 0.227199 0.393521i −0.729778 0.683684i \(-0.760376\pi\)
0.956977 + 0.290164i \(0.0937098\pi\)
\(20\) −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 0.994345 0.106194i \(-0.0338664\pi\)
−0.462128 + 0.886813i \(0.652914\pi\)
\(24\) 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 −0.237331 0.971429i \(-0.576273\pi\)
0.611520 + 0.791229i \(0.290558\pi\)
\(30\) −0.261260 0.838044i −0.0476993 0.153005i
\(31\) −2.30045 3.98449i −0.413173 0.715636i 0.582062 0.813144i \(-0.302246\pi\)
−0.995235 + 0.0975084i \(0.968913\pi\)
\(32\) −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 −0.285472 0.958387i \(-0.592150\pi\)
0.425123 0.905135i \(-0.360231\pi\)
\(38\) −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 0.612274 0.790646i \(-0.290255\pi\)
−0.634579 + 0.772858i \(0.718826\pi\)
\(42\) −2.00629 3.15829i −0.309577 0.487335i
\(43\) −7.66154 + 6.10987i −1.16837 + 0.931747i −0.998556 0.0537287i \(-0.982889\pi\)
−0.169818 + 0.985475i \(0.554318\pi\)
\(44\) −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 0.865482 + 0.500940i \(0.167012\pi\)
0.564217 + 0.825626i \(0.309178\pi\)
\(48\) 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 −0.951098 0.308890i \(-0.900042\pi\)
0.894437 0.447194i \(-0.147577\pi\)
\(54\) 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 0.692951 + 0.720984i \(0.256310\pi\)
−0.998363 + 0.0571921i \(0.981785\pi\)
\(60\) −1.15287 + 0.460474i −0.148835 + 0.0594470i
\(61\) −9.20724 0.689988i −1.17887 0.0883439i −0.529156 0.848525i \(-0.677491\pi\)
−0.649711 + 0.760181i \(0.725110\pi\)
\(62\) −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 −0.529744 0.848158i \(-0.677712\pi\)
0.469654 + 0.882850i \(0.344379\pi\)
\(68\) −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 −0.999959 0.00902650i \(-0.997127\pi\)
0.630522 + 0.776172i \(0.282841\pi\)
\(72\) −0.185962 + 2.82231i −0.0219158 + 0.332612i
\(73\) −2.32715 2.50808i −0.272373 0.293548i 0.582021 0.813173i \(-0.302262\pi\)
−0.854394 + 0.519625i \(0.826072\pi\)
\(74\) −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 0.720338 0.693623i \(-0.243987\pi\)
−0.240526 + 0.970643i \(0.577320\pi\)
\(80\) 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 0.936418 0.350886i \(-0.114119\pi\)
−0.995927 + 0.0901597i \(0.971262\pi\)
\(84\) −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 −0.965093 0.261909i \(-0.915648\pi\)
0.944936 + 0.327257i \(0.106124\pi\)
\(90\) −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 \(0.334432\pi\)
−0.497007 + 0.867747i \(0.665568\pi\)
\(98\) −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 0.778378 + 0.627796i \(0.216043\pi\)
−0.928843 + 0.370473i \(0.879195\pi\)
\(102\) −7.82281 6.20016i −0.774573 0.613907i
\(103\) 5.60419 + 14.2793i 0.552198 + 1.40698i 0.885714 + 0.464232i \(0.153670\pi\)
−0.333516 + 0.942744i \(0.608235\pi\)
\(104\) −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 0.712394 + 0.701780i \(0.247611\pi\)
−0.983934 + 0.178532i \(0.942865\pi\)
\(108\) −1.91465 0.578027i −0.184237 0.0556206i
\(109\) 4.79772 1.47990i 0.459538 0.141749i −0.0563385 0.998412i \(-0.517943\pi\)
0.515876 + 0.856663i \(0.327466\pi\)
\(110\) 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 0.999859 + 0.0168004i \(0.00534797\pi\)
−0.893552 + 0.448959i \(0.851795\pi\)
\(114\) −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 −0.949449 0.313922i \(-0.898357\pi\)
0.346538 0.938036i \(-0.387357\pi\)
\(128\) 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 −0.0448298 0.998995i \(-0.514275\pi\)
0.251621 + 0.967826i \(0.419036\pi\)
\(132\) −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 0.486759 + 0.873536i \(0.338179\pi\)
−0.950975 + 0.309267i \(0.899916\pi\)
\(138\) 5.53972 3.22057i 0.471572 0.274153i
\(139\) 1.74043 2.18243i 0.147621 0.185111i −0.702523 0.711661i \(-0.747943\pi\)
0.850144 + 0.526550i \(0.176515\pi\)
\(140\) −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 0.422842 0.906203i \(-0.361032\pi\)
−0.872070 + 0.489380i \(0.837223\pi\)
\(150\) 4.08431 + 5.09014i 0.333483 + 0.415609i
\(151\) −17.3860 + 1.30290i −1.41485 + 0.106028i −0.760094 0.649813i \(-0.774847\pi\)
−0.654755 + 0.755841i \(0.727228\pi\)
\(152\) 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 0.586970 0.809609i \(-0.300321\pi\)
−0.120394 + 0.992726i \(0.538416\pi\)
\(158\) 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 0.999752 0.0222725i \(-0.00709015\pi\)
−0.961901 + 0.273399i \(0.911852\pi\)
\(164\) 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 0.283108 0.959088i \(-0.408634\pi\)
0.926360 + 0.376639i \(0.122920\pi\)
\(168\) 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 0.999854 0.0171052i \(-0.00544503\pi\)
−0.381210 + 0.924488i \(0.624493\pi\)
\(174\) −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 −0.999873 0.0159134i \(-0.994934\pi\)
0.380108 + 0.924942i \(0.375887\pi\)
\(180\) −1.20862 + 0.283505i −0.0900855 + 0.0211312i
\(181\) 6.52609 1.48954i 0.485081 0.110716i 0.0270153 0.999635i \(-0.491400\pi\)
0.458065 + 0.888919i \(0.348543\pi\)
\(182\) 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 −0.171396 0.985202i \(-0.554828\pi\)
0.544465 + 0.838783i \(0.316733\pi\)
\(192\) −7.60088 + 2.49533i −0.548546 + 0.180085i
\(193\) −16.5352 2.49227i −1.19023 0.179398i −0.476085 0.879399i \(-0.657945\pi\)
−0.714142 + 0.700001i \(0.753183\pi\)
\(194\) 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 0.0308428 0.999524i \(-0.490181\pi\)
−0.265142 + 0.964209i \(0.585419\pi\)
\(200\) −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 −0.910043 0.414514i \(-0.863952\pi\)
−0.640069 + 0.768317i \(0.721094\pi\)
\(212\) 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 0.747850 0.663867i \(-0.231086\pi\)
−0.0527554 + 0.998607i \(0.516800\pi\)
\(224\) −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 −0.645903 0.763420i \(-0.723519\pi\)
−0.338189 0.941078i \(-0.609814\pi\)
\(228\) −1.96005 + 3.44246i −0.129807 + 0.227983i
\(229\) 1.79196 + 11.8889i 0.118416 + 0.785638i 0.966666 + 0.256042i \(0.0824184\pi\)
−0.848250 + 0.529596i \(0.822343\pi\)
\(230\) 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 0.603100 + 0.797666i \(0.293932\pi\)
−0.715250 + 0.698869i \(0.753687\pi\)
\(234\) −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 −0.590261 0.807212i \(-0.700975\pi\)
0.655628 + 0.755084i \(0.272404\pi\)
\(240\) 2.13516 1.26716i 0.137824 0.0817946i
\(241\) −5.92591 + 0.444086i −0.381722 + 0.0286061i −0.264209 0.964465i \(-0.585111\pi\)
−0.117512 + 0.993071i \(0.537492\pi\)
\(242\) −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 0.508330 0.861162i \(-0.330263\pi\)
−0.952685 + 0.303959i \(0.901692\pi\)
\(252\) −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 0.168043 0.985780i \(-0.446255\pi\)
0.0192434 + 0.999815i \(0.493874\pi\)
\(258\) 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 −0.0657675 0.997835i \(-0.520950\pi\)
0.831267 + 0.555874i \(0.187616\pi\)
\(264\) −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 −0.951299 0.308270i \(-0.900250\pi\)
−0.236317 0.971676i \(-0.575940\pi\)
\(270\) −0.00263493 0.877819i −0.000160357 0.0534224i
\(271\) 14.3291 9.76944i 0.870433 0.593451i −0.0436190 0.999048i \(-0.513889\pi\)
0.914052 + 0.405597i \(0.132936\pi\)
\(272\) 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 0.665621 0.746290i \(-0.268167\pi\)
−0.451523 + 0.892259i \(0.649119\pi\)
\(278\) −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 −0.108542 0.994092i \(-0.534618\pi\)
0.529113 0.848551i \(-0.322525\pi\)
\(282\) 13.8228 12.9031i 0.823134 0.768368i
\(283\) −20.1599 + 6.21850i −1.19838 + 0.369651i −0.828799 0.559547i \(-0.810975\pi\)
−0.369582 + 0.929198i \(0.620499\pi\)
\(284\) 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 \(-0.891768\pi\)
0.942748 0.333506i \(-0.108232\pi\)
\(294\) −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 −0.999875 0.0157907i \(-0.994973\pi\)
0.907708 + 0.419603i \(0.137831\pi\)
\(308\) −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 0.936714 0.350096i \(-0.113851\pi\)
0.0163252 + 0.999867i \(0.494803\pi\)
\(312\) 0.327097 2.31118i 0.0185182 0.130845i
\(313\) −9.81461 5.66647i −0.554755 0.320288i 0.196283 0.980547i \(-0.437113\pi\)
−0.751038 + 0.660260i \(0.770446\pi\)
\(314\) 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 −0.831364 0.555729i \(-0.812439\pi\)
0.213582 + 0.976925i \(0.431487\pi\)
\(318\) −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 −0.336844 0.941561i \(-0.609359\pi\)
−0.473414 + 0.880840i \(0.656979\pi\)
\(332\) 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 0.324799 0.945783i \(-0.394703\pi\)
−0.994345 + 0.106199i \(0.966132\pi\)
\(338\) −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 −0.915870 0.401476i \(-0.868497\pi\)
−0.845803 + 0.533495i \(0.820878\pi\)
\(348\) −4.01842 + 1.96498i −0.215410 + 0.105334i
\(349\) 8.98286 7.16359i 0.480841 0.383458i −0.352858 0.935677i \(-0.614790\pi\)
0.833699 + 0.552219i \(0.186219\pi\)
\(350\) 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 −0.161124 0.986934i \(-0.551512\pi\)
−0.789398 + 0.613882i \(0.789607\pi\)
\(354\) 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 −0.996922 0.0784036i \(-0.975018\pi\)
0.929521 0.368768i \(-0.120220\pi\)
\(360\) 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 −0.878084 0.478507i \(-0.841178\pi\)
0.411550 + 0.911387i \(0.364988\pi\)
\(368\) 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 −0.441965 0.897033i \(-0.645718\pi\)
0.997835 0.0657637i \(-0.0209484\pi\)
\(374\) 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 0.552314 0.833636i \(-0.313745\pi\)
0.135916 + 0.990720i \(0.456602\pi\)
\(380\) 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 0.110505 0.993876i \(-0.464753\pi\)
−0.468566 + 0.883428i \(0.655229\pi\)
\(384\) 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 −0.518213 0.855252i \(-0.673403\pi\)
−0.747280 + 0.664509i \(0.768641\pi\)
\(390\) 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 −0.723048 0.690798i \(-0.757259\pi\)
−0.0601698 + 0.998188i \(0.519164\pi\)
\(398\) −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 0.0410415 0.999157i \(-0.486932\pi\)
−0.528935 + 0.848662i \(0.677409\pi\)
\(402\) 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 0.100313 + 0.994956i \(0.468016\pi\)
−0.962827 + 0.270120i \(0.912937\pi\)
\(410\) −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 0.766912 0.641752i \(-0.221792\pi\)
−0.0235800 + 0.999722i \(0.507506\pi\)
\(420\) −1.72534 + 2.79486i −0.0841881 + 0.136375i
\(421\) 30.9897 14.9238i 1.51034 0.727343i 0.518533 0.855058i \(-0.326478\pi\)
0.991811 + 0.127714i \(0.0407641\pi\)
\(422\) 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 0.807262 0.590194i \(-0.200949\pi\)
0.190331 + 0.981720i \(0.439044\pi\)
\(432\) 3.96220 + 0.548637i 0.190631 + 0.0263963i
\(433\) 19.6127 + 15.6406i 0.942528 + 0.751641i 0.968756 0.248015i \(-0.0797783\pi\)
−0.0262284 + 0.999656i \(0.508350\pi\)
\(434\) −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 0.898718 0.438527i \(-0.144500\pi\)
−0.370139 + 0.928976i \(0.620690\pi\)
\(440\) −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 −0.773051 0.634344i \(-0.781270\pi\)
0.690341 + 0.723484i \(0.257461\pi\)
\(444\) −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 −0.559823 0.828613i \(-0.689131\pi\)
0.932410 + 0.361403i \(0.117702\pi\)
\(450\) 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 −0.0981815 0.995169i \(-0.531303\pi\)
0.199511 + 0.979895i \(0.436064\pi\)
\(458\) 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 0.925477 + 0.378803i \(0.123664\pi\)
−0.280866 + 0.959747i \(0.590622\pi\)
\(462\) 3.44638 4.04496i 0.160340 0.188189i
\(463\) 5.31504 11.0368i 0.247011 0.512924i −0.740191 0.672396i \(-0.765265\pi\)
0.987202 + 0.159473i \(0.0509794\pi\)
\(464\) 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 −0.644830 0.764326i \(-0.723072\pi\)
0.475908 + 0.879495i \(0.342119\pi\)
\(468\) 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 0.320072 0.947393i \(-0.396293\pi\)
0.798142 + 0.602470i \(0.205817\pi\)
\(480\) −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 −0.819333 0.573318i \(-0.805656\pi\)
0.951921 0.306345i \(-0.0991060\pi\)
\(488\) −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 \(0.0716365\pi\)
−0.974782 + 0.223158i \(0.928364\pi\)
\(492\) 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 0.596769 + 0.802413i \(0.296451\pi\)
−0.945089 + 0.326812i \(0.894025\pi\)
\(500\) 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 −0.711791 0.702392i \(-0.752116\pi\)
0.946058 0.323999i \(-0.105027\pi\)
\(504\) 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 0.238087 0.971244i \(-0.423480\pi\)
−0.722079 + 0.691811i \(0.756813\pi\)
\(510\) −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 0.278528 0.960428i \(-0.410153\pi\)
0.971019 + 0.239002i \(0.0768201\pi\)
\(522\) −0.713082 3.08155i −0.0312107 0.134876i
\(523\) 18.8375 2.83930i 0.823707 0.124154i 0.276354 0.961056i \(-0.410874\pi\)
0.547353 + 0.836902i \(0.315636\pi\)
\(524\) −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 0.999286 0.0377898i \(-0.0120317\pi\)
0.0369926 + 0.999316i \(0.488222\pi\)
\(542\) −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 0.176338 0.984330i \(-0.443575\pi\)
−0.920411 + 0.390951i \(0.872146\pi\)
\(548\) 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 0.834500 0.551008i \(-0.185757\pi\)
−0.894437 + 0.447194i \(0.852423\pi\)
\(558\) −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 −0.637228 0.770676i \(-0.719919\pi\)
0.720901 + 0.693039i \(0.243728\pi\)
\(564\) −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 −0.731033 0.682342i \(-0.760962\pi\)
0.956442 + 0.291923i \(0.0942950\pi\)
\(570\) −1.69625 0.381804i −0.0710479 0.0159920i
\(571\) 12.7517 18.7034i 0.533644 0.782712i −0.460853 0.887476i \(-0.652457\pi\)
0.994497 + 0.104765i \(0.0334089\pi\)
\(572\) 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 0.986856 0.161603i \(-0.0516663\pi\)
−0.906413 + 0.422393i \(0.861190\pi\)
\(578\) −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 0.0153682 0.999882i \(-0.495108\pi\)
0.691358 + 0.722512i \(0.257013\pi\)
\(594\) 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 0.822837 + 0.568277i \(0.192390\pi\)
−0.359738 + 0.933053i \(0.617134\pi\)
\(600\) −9.64763 8.79135i −0.393863 0.358906i
\(601\) 25.2890 + 5.77205i 1.03156 + 0.235447i 0.704610 0.709595i \(-0.251122\pi\)
0.326950 + 0.945042i \(0.393979\pi\)
\(602\) 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 −0.710119 0.704082i \(-0.751359\pi\)
0.964812 + 0.262940i \(0.0846922\pi\)
\(608\) −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 −0.993445 0.114311i \(-0.963534\pi\)
0.0397510 + 0.999210i \(0.487344\pi\)
\(614\) 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 0.616766 0.787146i \(-0.288442\pi\)
0.999963 + 0.00857046i \(0.00272810\pi\)
\(618\) 20.7104 6.45647i 0.833096 0.259717i
\(619\) 14.0111 + 24.2679i 0.563153 + 0.975409i 0.997219 + 0.0745283i \(0.0237451\pi\)
−0.434066 + 0.900881i \(0.642922\pi\)
\(620\) 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 0.225593 0.974222i \(-0.427568\pi\)
0.999995 0.00315261i \(-0.00100351\pi\)
\(632\) −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 −0.985970 0.166923i \(-0.946617\pi\)
0.950079 0.312010i \(-0.101002\pi\)
\(642\) 12.5597 + 4.88587i 0.495692 + 0.192830i
\(643\) 8.80422 + 11.0401i 0.347205 + 0.435381i 0.924516 0.381143i \(-0.124470\pi\)
−0.577311 + 0.816524i \(0.695898\pi\)
\(644\) −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 0.673148 + 0.739508i \(0.264942\pi\)
−0.996445 + 0.0842405i \(0.973154\pi\)
\(648\) −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 −0.0816725 0.996659i \(-0.526026\pi\)
0.215726 + 0.976454i \(0.430788\pi\)
\(654\) −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 −0.778700 0.627396i \(-0.784121\pi\)
0.976030 + 0.217637i \(0.0698348\pi\)
\(660\) −1.10755 1.37185i −0.0431113 0.0533991i
\(661\) 13.2529 + 14.2833i 0.515480 + 0.555555i 0.936124 0.351671i \(-0.114386\pi\)
−0.420644 + 0.907226i \(0.638196\pi\)
\(662\) 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 −0.914985 0.403488i \(-0.867798\pi\)
0.999440 + 0.0334673i \(0.0106549\pi\)
\(674\) −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 −0.999811 0.0194412i \(-0.993811\pi\)
0.837034 + 0.547151i \(0.184287\pi\)
\(678\) 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 0.745295 + 0.666734i \(0.232308\pi\)
−0.908707 + 0.417433i \(0.862930\pi\)
\(684\) −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 −0.982085 0.188437i \(-0.939658\pi\)
0.591749 0.806122i \(-0.298437\pi\)
\(692\) −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 −0.954299 0.298854i \(-0.903396\pi\)
0.730126 0.683313i \(-0.239461\pi\)
\(702\) −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 −0.321050 0.947062i \(-0.604036\pi\)
0.764303 + 0.644858i \(0.223083\pi\)
\(710\) 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 −0.262483 0.964937i \(-0.584541\pi\)
0.0335989 + 0.999435i \(0.489303\pi\)
\(720\) 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 −0.0330286 + 0.999454i \(0.510515\pi\)
−0.967046 + 0.254600i \(0.918056\pi\)
\(728\) −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 0.0627314 0.998030i \(-0.480019\pi\)
0.990552 0.137139i \(-0.0437907\pi\)
\(734\) 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 −0.148383 0.988930i \(-0.547407\pi\)
0.000666522 1.00000i \(0.499788\pi\)
\(740\) 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 0.713820 0.700329i \(-0.246963\pi\)
−0.523930 + 0.851761i \(0.675535\pi\)
\(744\) 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 0.976674 0.214728i \(-0.0688864\pi\)
−0.996575 + 0.0826917i \(0.973648\pi\)
\(752\) 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 −0.403014 0.915194i \(-0.632037\pi\)
−0.966802 + 0.255525i \(0.917752\pi\)
\(758\) 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 0.964604 + 0.263704i \(0.0849443\pi\)
−0.106934 + 0.994266i \(0.534103\pi\)
\(762\) −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 0.211577 0.977361i \(-0.432140\pi\)
0.614685 + 0.788772i \(0.289283\pi\)
\(770\) 0.597234 3.24400i 0.0215228 0.116906i
\(771\)