Properties

Label 43.2.g.a.38.3
Level $43$
Weight $2$
Character 43.38
Analytic conductor $0.343$
Analytic rank $0$
Dimension $36$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 43.g (of order \(21\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.343356728692\)
Analytic rank: \(0\)
Dimension: \(36\)
Relative dimension: \(3\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 38.3
Character \(\chi\) \(=\) 43.38
Dual form 43.2.g.a.17.3

$q$-expansion

\(f(q)\) \(=\) \(q+(0.377390 - 1.65345i) q^{2} +(-1.63701 - 0.504949i) q^{3} +(-0.789549 - 0.380227i) q^{4} +(0.140805 + 0.358765i) q^{5} +(-1.45270 + 2.51615i) q^{6} +(1.74586 + 3.02391i) q^{7} +(1.18819 - 1.48995i) q^{8} +(-0.0539035 - 0.0367508i) q^{9} +O(q^{10})\) \(q+(0.377390 - 1.65345i) q^{2} +(-1.63701 - 0.504949i) q^{3} +(-0.789549 - 0.380227i) q^{4} +(0.140805 + 0.358765i) q^{5} +(-1.45270 + 2.51615i) q^{6} +(1.74586 + 3.02391i) q^{7} +(1.18819 - 1.48995i) q^{8} +(-0.0539035 - 0.0367508i) q^{9} +(0.646339 - 0.0974200i) q^{10} +(-3.90633 + 1.88119i) q^{11} +(1.10050 + 1.02111i) q^{12} +(1.26408 + 0.190529i) q^{13} +(5.65876 - 1.74550i) q^{14} +(-0.0493402 - 0.658399i) q^{15} +(-3.10791 - 3.89720i) q^{16} +(0.205594 - 0.523844i) q^{17} +(-0.0811084 + 0.0752576i) q^{18} +(-6.30490 + 4.29861i) q^{19} +(0.0252397 - 0.336800i) q^{20} +(-1.33105 - 5.83172i) q^{21} +(1.63625 + 7.16888i) q^{22} +(0.553943 - 7.39185i) q^{23} +(-2.69742 + 1.83907i) q^{24} +(3.55637 - 3.29983i) q^{25} +(0.792080 - 2.01819i) q^{26} +(3.27401 + 4.10548i) q^{27} +(-0.228667 - 3.05134i) q^{28} +(3.26143 - 1.00602i) q^{29} +(-1.10725 - 0.166892i) q^{30} +(-0.717059 - 0.665333i) q^{31} +(-4.18276 + 2.01431i) q^{32} +(7.34459 - 1.10702i) q^{33} +(-0.788563 - 0.537633i) q^{34} +(-0.839048 + 1.05213i) q^{35} +(0.0285858 + 0.0495121i) q^{36} +(-2.19799 + 3.80703i) q^{37} +(4.72814 + 12.0471i) q^{38} +(-1.97309 - 0.950190i) q^{39} +(0.701843 + 0.216490i) q^{40} +(-1.07956 + 4.72986i) q^{41} -10.1448 q^{42} +(3.30784 - 5.66200i) q^{43} +3.79952 q^{44} +(0.00559502 - 0.0245134i) q^{45} +(-12.0130 - 3.70553i) q^{46} +(3.93826 + 1.89657i) q^{47} +(3.11978 + 7.94908i) q^{48} +(-2.59602 + 4.49644i) q^{49} +(-4.11398 - 7.12562i) q^{50} +(-0.601072 + 0.753721i) q^{51} +(-0.925605 - 0.631067i) q^{52} +(-9.56301 + 1.44139i) q^{53} +(8.02380 - 3.86406i) q^{54} +(-1.22493 - 1.13657i) q^{55} +(6.57987 + 0.991756i) q^{56} +(12.4917 - 3.85319i) q^{57} +(-0.432573 - 5.77229i) q^{58} +(-2.92222 - 3.66435i) q^{59} +(-0.211384 + 0.538598i) q^{60} +(3.96588 - 3.67980i) q^{61} +(-1.37071 + 0.934533i) q^{62} +(0.0170234 - 0.227161i) q^{63} +(-0.466364 - 2.04327i) q^{64} +(0.109633 + 0.480333i) q^{65} +(0.941371 - 12.5617i) q^{66} +(10.8402 - 7.39075i) q^{67} +(-0.361505 + 0.335428i) q^{68} +(-4.63932 + 11.8208i) q^{69} +(1.42300 + 1.78439i) q^{70} +(0.570335 + 7.61059i) q^{71} +(-0.118804 + 0.0366463i) q^{72} +(-2.05301 - 0.309442i) q^{73} +(5.46525 + 5.07101i) q^{74} +(-7.48805 + 3.60605i) q^{75} +(6.61247 - 0.996670i) q^{76} +(-12.5084 - 8.52811i) q^{77} +(-2.31572 + 2.90382i) q^{78} +(4.14234 + 7.17474i) q^{79} +(0.960569 - 1.66375i) q^{80} +(-3.21501 - 8.19171i) q^{81} +(7.41318 + 3.57000i) q^{82} +(-11.1319 - 3.43375i) q^{83} +(-1.16645 + 5.11053i) q^{84} +0.216885 q^{85} +(-8.11351 - 7.60614i) q^{86} -5.84697 q^{87} +(-1.83860 + 8.05544i) q^{88} +(2.60667 + 0.804052i) q^{89} +(-0.0384202 - 0.0185022i) q^{90} +(1.63075 + 4.15509i) q^{91} +(-3.24794 + 5.62560i) q^{92} +(0.837869 + 1.45123i) q^{93} +(4.62215 - 5.79599i) q^{94} +(-2.42995 - 1.65671i) q^{95} +(7.86433 - 1.18536i) q^{96} +(0.441741 - 0.212731i) q^{97} +(6.45494 + 5.98931i) q^{98} +(0.279700 + 0.0421580i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 36q - 10q^{2} - 16q^{3} - 18q^{4} - 17q^{5} - 4q^{6} + 6q^{7} + 18q^{8} - q^{9} + O(q^{10}) \) \( 36q - 10q^{2} - 16q^{3} - 18q^{4} - 17q^{5} - 4q^{6} + 6q^{7} + 18q^{8} - q^{9} - 7q^{10} - 4q^{11} + 2q^{12} + 18q^{14} - 3q^{15} - 10q^{16} - 10q^{17} + 11q^{18} + 10q^{19} - 3q^{20} - 21q^{21} - 3q^{22} + 4q^{23} + 31q^{24} - 2q^{25} - 15q^{26} - 4q^{27} + 20q^{28} + 9q^{29} + 88q^{30} + 40q^{31} + 48q^{32} - 11q^{33} - 42q^{34} + 11q^{35} - 47q^{36} - 19q^{37} - 21q^{38} - q^{39} - 97q^{40} - 28q^{41} + 2q^{42} - 8q^{43} + 14q^{44} - 46q^{45} - 61q^{46} - 30q^{47} - 97q^{48} + 6q^{49} - 3q^{50} + 57q^{51} - 8q^{52} - 24q^{53} + 6q^{54} + 14q^{55} + 39q^{56} + 52q^{57} + 64q^{58} - q^{59} + 111q^{60} - 14q^{61} + 33q^{62} + 47q^{63} + 48q^{64} + 38q^{65} + 79q^{66} + 66q^{67} + 66q^{68} - 7q^{69} + 47q^{70} - 33q^{71} + 26q^{72} + 29q^{73} - 40q^{74} - 55q^{75} - 39q^{76} - 27q^{77} - 126q^{78} - 17q^{79} + 8q^{80} + 38q^{81} - 54q^{82} - 23q^{83} - 155q^{84} - 56q^{85} - 45q^{86} - 86q^{87} - 17q^{88} - 19q^{89} - 127q^{90} - 13q^{91} - 18q^{92} - 30q^{93} + 44q^{94} + q^{95} - 36q^{96} - 31q^{97} - 5q^{98} - 31q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{2}{21}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.377390 1.65345i 0.266855 1.16917i −0.646794 0.762665i \(-0.723891\pi\)
0.913649 0.406504i \(-0.133252\pi\)
\(3\) −1.63701 0.504949i −0.945125 0.291533i −0.216374 0.976311i \(-0.569423\pi\)
−0.728752 + 0.684778i \(0.759899\pi\)
\(4\) −0.789549 0.380227i −0.394774 0.190113i
\(5\) 0.140805 + 0.358765i 0.0629698 + 0.160444i 0.958895 0.283760i \(-0.0915818\pi\)
−0.895926 + 0.444204i \(0.853487\pi\)
\(6\) −1.45270 + 2.51615i −0.593062 + 1.02721i
\(7\) 1.74586 + 3.02391i 0.659871 + 1.14293i 0.980649 + 0.195776i \(0.0627225\pi\)
−0.320777 + 0.947155i \(0.603944\pi\)
\(8\) 1.18819 1.48995i 0.420089 0.526775i
\(9\) −0.0539035 0.0367508i −0.0179678 0.0122503i
\(10\) 0.646339 0.0974200i 0.204390 0.0308069i
\(11\) −3.90633 + 1.88119i −1.17780 + 0.567200i −0.917270 0.398265i \(-0.869612\pi\)
−0.260533 + 0.965465i \(0.583898\pi\)
\(12\) 1.10050 + 1.02111i 0.317687 + 0.294770i
\(13\) 1.26408 + 0.190529i 0.350591 + 0.0528432i 0.321977 0.946747i \(-0.395653\pi\)
0.0286141 + 0.999591i \(0.490891\pi\)
\(14\) 5.65876 1.74550i 1.51237 0.466504i
\(15\) −0.0493402 0.658399i −0.0127396 0.169998i
\(16\) −3.10791 3.89720i −0.776978 0.974300i
\(17\) 0.205594 0.523844i 0.0498638 0.127051i −0.903772 0.428015i \(-0.859213\pi\)
0.953636 + 0.300964i \(0.0973084\pi\)
\(18\) −0.0811084 + 0.0752576i −0.0191174 + 0.0177384i
\(19\) −6.30490 + 4.29861i −1.44644 + 0.986169i −0.450830 + 0.892610i \(0.648872\pi\)
−0.995614 + 0.0935586i \(0.970176\pi\)
\(20\) 0.0252397 0.336800i 0.00564376 0.0753107i
\(21\) −1.33105 5.83172i −0.290460 1.27259i
\(22\) 1.63625 + 7.16888i 0.348850 + 1.52841i
\(23\) 0.553943 7.39185i 0.115505 1.54131i −0.575105 0.818080i \(-0.695039\pi\)
0.690610 0.723228i \(-0.257342\pi\)
\(24\) −2.69742 + 1.83907i −0.550609 + 0.375399i
\(25\) 3.55637 3.29983i 0.711275 0.659966i
\(26\) 0.792080 2.01819i 0.155340 0.395799i
\(27\) 3.27401 + 4.10548i 0.630084 + 0.790100i
\(28\) −0.228667 3.05134i −0.0432139 0.576650i
\(29\) 3.26143 1.00602i 0.605633 0.186813i 0.0232528 0.999730i \(-0.492598\pi\)
0.582380 + 0.812917i \(0.302122\pi\)
\(30\) −1.10725 0.166892i −0.202156 0.0304701i
\(31\) −0.717059 0.665333i −0.128788 0.119497i 0.613150 0.789967i \(-0.289902\pi\)
−0.741937 + 0.670469i \(0.766093\pi\)
\(32\) −4.18276 + 2.01431i −0.739415 + 0.356083i
\(33\) 7.34459 1.10702i 1.27853 0.192707i
\(34\) −0.788563 0.537633i −0.135237 0.0922033i
\(35\) −0.839048 + 1.05213i −0.141825 + 0.177843i
\(36\) 0.0285858 + 0.0495121i 0.00476430 + 0.00825202i
\(37\) −2.19799 + 3.80703i −0.361348 + 0.625872i −0.988183 0.153279i \(-0.951017\pi\)
0.626835 + 0.779152i \(0.284350\pi\)
\(38\) 4.72814 + 12.0471i 0.767006 + 1.95430i
\(39\) −1.97309 0.950190i −0.315947 0.152152i
\(40\) 0.701843 + 0.216490i 0.110971 + 0.0342301i
\(41\) −1.07956 + 4.72986i −0.168599 + 0.738679i 0.817960 + 0.575275i \(0.195105\pi\)
−0.986559 + 0.163405i \(0.947752\pi\)
\(42\) −10.1448 −1.56538
\(43\) 3.30784 5.66200i 0.504440 0.863447i
\(44\) 3.79952 0.572799
\(45\) 0.00559502 0.0245134i 0.000834056 0.00365424i
\(46\) −12.0130 3.70553i −1.77122 0.546351i
\(47\) 3.93826 + 1.89657i 0.574455 + 0.276643i 0.698472 0.715637i \(-0.253864\pi\)
−0.124017 + 0.992280i \(0.539578\pi\)
\(48\) 3.11978 + 7.94908i 0.450302 + 1.14735i
\(49\) −2.59602 + 4.49644i −0.370860 + 0.642348i
\(50\) −4.11398 7.12562i −0.581805 1.00772i
\(51\) −0.601072 + 0.753721i −0.0841670 + 0.105542i
\(52\) −0.925605 0.631067i −0.128358 0.0875132i
\(53\) −9.56301 + 1.44139i −1.31358 + 0.197990i −0.768207 0.640202i \(-0.778851\pi\)
−0.545374 + 0.838193i \(0.683613\pi\)
\(54\) 8.02380 3.86406i 1.09190 0.525832i
\(55\) −1.22493 1.13657i −0.165170 0.153256i
\(56\) 6.57987 + 0.991756i 0.879272 + 0.132529i
\(57\) 12.4917 3.85319i 1.65457 0.510368i
\(58\) −0.432573 5.77229i −0.0567997 0.757939i
\(59\) −2.92222 3.66435i −0.380441 0.477058i 0.554336 0.832293i \(-0.312972\pi\)
−0.934777 + 0.355235i \(0.884401\pi\)
\(60\) −0.211384 + 0.538598i −0.0272896 + 0.0695328i
\(61\) 3.96588 3.67980i 0.507779 0.471150i −0.384185 0.923256i \(-0.625518\pi\)
0.891964 + 0.452106i \(0.149327\pi\)
\(62\) −1.37071 + 0.934533i −0.174080 + 0.118686i
\(63\) 0.0170234 0.227161i 0.00214474 0.0286196i
\(64\) −0.466364 2.04327i −0.0582955 0.255409i
\(65\) 0.109633 + 0.480333i 0.0135983 + 0.0595780i
\(66\) 0.941371 12.5617i 0.115875 1.54624i
\(67\) 10.8402 7.39075i 1.32435 0.902924i 0.325259 0.945625i \(-0.394549\pi\)
0.999088 + 0.0427010i \(0.0135963\pi\)
\(68\) −0.361505 + 0.335428i −0.0438390 + 0.0406766i
\(69\) −4.63932 + 11.8208i −0.558508 + 1.42306i
\(70\) 1.42300 + 1.78439i 0.170082 + 0.213275i
\(71\) 0.570335 + 7.61059i 0.0676863 + 0.903211i 0.922926 + 0.384978i \(0.125791\pi\)
−0.855239 + 0.518233i \(0.826590\pi\)
\(72\) −0.118804 + 0.0366463i −0.0140012 + 0.00431881i
\(73\) −2.05301 0.309442i −0.240287 0.0362175i 0.0277945 0.999614i \(-0.491152\pi\)
−0.268082 + 0.963396i \(0.586390\pi\)
\(74\) 5.46525 + 5.07101i 0.635323 + 0.589493i
\(75\) −7.48805 + 3.60605i −0.864646 + 0.416391i
\(76\) 6.61247 0.996670i 0.758502 0.114326i
\(77\) −12.5084 8.52811i −1.42547 0.971868i
\(78\) −2.31572 + 2.90382i −0.262204 + 0.328793i
\(79\) 4.14234 + 7.17474i 0.466049 + 0.807221i 0.999248 0.0387687i \(-0.0123436\pi\)
−0.533199 + 0.845990i \(0.679010\pi\)
\(80\) 0.960569 1.66375i 0.107395 0.186013i
\(81\) −3.21501 8.19171i −0.357223 0.910190i
\(82\) 7.41318 + 3.57000i 0.818649 + 0.394241i
\(83\) −11.1319 3.43375i −1.22189 0.376903i −0.384302 0.923207i \(-0.625558\pi\)
−0.837587 + 0.546305i \(0.816034\pi\)
\(84\) −1.16645 + 5.11053i −0.127270 + 0.557605i
\(85\) 0.216885 0.0235245
\(86\) −8.11351 7.60614i −0.874902 0.820191i
\(87\) −5.84697 −0.626861
\(88\) −1.83860 + 8.05544i −0.195995 + 0.858712i
\(89\) 2.60667 + 0.804052i 0.276307 + 0.0852293i 0.429812 0.902919i \(-0.358580\pi\)
−0.153505 + 0.988148i \(0.549056\pi\)
\(90\) −0.0384202 0.0185022i −0.00404985 0.00195030i
\(91\) 1.63075 + 4.15509i 0.170949 + 0.435571i
\(92\) −3.24794 + 5.62560i −0.338621 + 0.586509i
\(93\) 0.837869 + 1.45123i 0.0868830 + 0.150486i
\(94\) 4.62215 5.79599i 0.476738 0.597811i
\(95\) −2.42995 1.65671i −0.249308 0.169975i
\(96\) 7.86433 1.18536i 0.802650 0.120980i
\(97\) 0.441741 0.212731i 0.0448520 0.0215996i −0.411323 0.911490i \(-0.634933\pi\)
0.456175 + 0.889890i \(0.349219\pi\)
\(98\) 6.45494 + 5.98931i 0.652048 + 0.605012i
\(99\) 0.279700 + 0.0421580i 0.0281109 + 0.00423704i
\(100\) −4.06261 + 1.25315i −0.406261 + 0.125315i
\(101\) 0.164575 + 2.19611i 0.0163759 + 0.218521i 0.999388 + 0.0349802i \(0.0111368\pi\)
−0.983012 + 0.183541i \(0.941244\pi\)
\(102\) 1.01940 + 1.27829i 0.100936 + 0.126570i
\(103\) −1.86980 + 4.76417i −0.184237 + 0.469427i −0.992915 0.118823i \(-0.962088\pi\)
0.808679 + 0.588250i \(0.200183\pi\)
\(104\) 1.78584 1.65702i 0.175116 0.162484i
\(105\) 1.90480 1.29867i 0.185889 0.126737i
\(106\) −1.22571 + 16.3560i −0.119052 + 1.58863i
\(107\) 2.28640 + 10.0174i 0.221035 + 0.968418i 0.956701 + 0.291073i \(0.0940123\pi\)
−0.735666 + 0.677345i \(0.763131\pi\)
\(108\) −1.02398 4.48634i −0.0985323 0.431698i
\(109\) −0.0839896 + 1.12076i −0.00804474 + 0.107350i −0.999781 0.0209470i \(-0.993332\pi\)
0.991736 + 0.128297i \(0.0409509\pi\)
\(110\) −2.34155 + 1.59644i −0.223258 + 0.152215i
\(111\) 5.52048 5.12226i 0.523981 0.486183i
\(112\) 6.35882 16.2020i 0.600852 1.53094i
\(113\) 9.95806 + 12.4870i 0.936776 + 1.17468i 0.984423 + 0.175815i \(0.0562562\pi\)
−0.0476475 + 0.998864i \(0.515172\pi\)
\(114\) −1.65682 22.1087i −0.155175 2.07067i
\(115\) 2.72993 0.842073i 0.254568 0.0785237i
\(116\) −2.95757 0.445783i −0.274604 0.0413899i
\(117\) −0.0611361 0.0567260i −0.00565203 0.00524432i
\(118\) −7.16165 + 3.44887i −0.659283 + 0.317494i
\(119\) 1.94299 0.292859i 0.178114 0.0268463i
\(120\) −1.03960 0.708790i −0.0949025 0.0647034i
\(121\) 4.86216 6.09695i 0.442014 0.554268i
\(122\) −4.58770 7.94612i −0.415351 0.719408i
\(123\) 4.15558 7.19768i 0.374696 0.648993i
\(124\) 0.313175 + 0.797957i 0.0281240 + 0.0716587i
\(125\) 3.42081 + 1.64738i 0.305967 + 0.147346i
\(126\) −0.369176 0.113876i −0.0328888 0.0101449i
\(127\) 0.749226 3.28258i 0.0664831 0.291281i −0.930747 0.365665i \(-0.880842\pi\)
0.997230 + 0.0743833i \(0.0236988\pi\)
\(128\) −12.8395 −1.13486
\(129\) −8.27397 + 7.59843i −0.728482 + 0.669005i
\(130\) 0.835583 0.0732855
\(131\) 0.342281 1.49963i 0.0299053 0.131024i −0.957772 0.287530i \(-0.907166\pi\)
0.987677 + 0.156506i \(0.0500231\pi\)
\(132\) −6.21983 1.91856i −0.541367 0.166989i
\(133\) −24.0060 11.5607i −2.08159 1.00244i
\(134\) −8.12927 20.7130i −0.702262 1.78933i
\(135\) −1.01191 + 1.75267i −0.0870909 + 0.150846i
\(136\) −0.536214 0.928750i −0.0459800 0.0796397i
\(137\) −1.98722 + 2.49190i −0.169780 + 0.212897i −0.859441 0.511235i \(-0.829188\pi\)
0.689661 + 0.724132i \(0.257760\pi\)
\(138\) 17.7943 + 12.1319i 1.51475 + 1.03274i
\(139\) 19.8520 2.99220i 1.68382 0.253795i 0.763741 0.645523i \(-0.223360\pi\)
0.920081 + 0.391727i \(0.128122\pi\)
\(140\) 1.06252 0.511681i 0.0897991 0.0432450i
\(141\) −5.48929 5.09332i −0.462282 0.428935i
\(142\) 12.7990 + 1.92914i 1.07407 + 0.161890i
\(143\) −5.29632 + 1.63370i −0.442900 + 0.136617i
\(144\) 0.0243023 + 0.324291i 0.00202519 + 0.0270243i
\(145\) 0.820149 + 1.02843i 0.0681097 + 0.0854069i
\(146\) −1.28644 + 3.27778i −0.106466 + 0.271271i
\(147\) 6.52017 6.04984i 0.537775 0.498982i
\(148\) 3.18296 2.17010i 0.261637 0.178381i
\(149\) −0.944726 + 12.6065i −0.0773949 + 1.03276i 0.814394 + 0.580312i \(0.197069\pi\)
−0.891789 + 0.452451i \(0.850550\pi\)
\(150\) 3.13653 + 13.7420i 0.256097 + 1.12203i
\(151\) −0.223758 0.980350i −0.0182092 0.0797798i 0.965007 0.262224i \(-0.0844561\pi\)
−0.983216 + 0.182445i \(0.941599\pi\)
\(152\) −1.08674 + 14.5015i −0.0881462 + 1.17623i
\(153\) −0.0303339 + 0.0206813i −0.00245235 + 0.00167198i
\(154\) −18.8214 + 17.4637i −1.51667 + 1.40726i
\(155\) 0.137733 0.350937i 0.0110630 0.0281880i
\(156\) 1.19656 + 1.50044i 0.0958017 + 0.120132i
\(157\) 0.355966 + 4.75004i 0.0284092 + 0.379095i 0.993228 + 0.116180i \(0.0370648\pi\)
−0.964819 + 0.262915i \(0.915316\pi\)
\(158\) 13.4264 4.14149i 1.06815 0.329479i
\(159\) 16.3825 + 2.46927i 1.29922 + 0.195826i
\(160\) −1.31162 1.21700i −0.103692 0.0962125i
\(161\) 23.3194 11.2300i 1.83783 0.885050i
\(162\) −14.7579 + 2.22440i −1.15949 + 0.174765i
\(163\) −7.84688 5.34991i −0.614615 0.419037i 0.215599 0.976482i \(-0.430829\pi\)
−0.830214 + 0.557445i \(0.811782\pi\)
\(164\) 2.65078 3.32397i 0.206991 0.259559i
\(165\) 1.43131 + 2.47911i 0.111428 + 0.192998i
\(166\) −9.87862 + 17.1103i −0.766730 + 1.32802i
\(167\) −8.26817 21.0670i −0.639810 1.63021i −0.769494 0.638654i \(-0.779491\pi\)
0.129684 0.991555i \(-0.458604\pi\)
\(168\) −10.2705 4.94601i −0.792386 0.381593i
\(169\) −10.8609 3.35013i −0.835451 0.257702i
\(170\) 0.0818503 0.358610i 0.00627763 0.0275041i
\(171\) 0.497834 0.0380703
\(172\) −4.76454 + 3.21269i −0.363293 + 0.244966i
\(173\) 9.30235 0.707245 0.353622 0.935388i \(-0.384950\pi\)
0.353622 + 0.935388i \(0.384950\pi\)
\(174\) −2.20659 + 9.66770i −0.167281 + 0.732906i
\(175\) 16.1873 + 4.99312i 1.22365 + 0.377445i
\(176\) 19.4719 + 9.37718i 1.46775 + 0.706831i
\(177\) 2.93338 + 7.47413i 0.220486 + 0.561790i
\(178\) 2.31319 4.00657i 0.173381 0.300305i
\(179\) −3.61481 6.26104i −0.270184 0.467972i 0.698725 0.715390i \(-0.253751\pi\)
−0.968909 + 0.247418i \(0.920418\pi\)
\(180\) −0.0137382 + 0.0172271i −0.00102398 + 0.00128403i
\(181\) −15.5329 10.5902i −1.15455 0.787162i −0.174259 0.984700i \(-0.555753\pi\)
−0.980295 + 0.197538i \(0.936705\pi\)
\(182\) 7.48567 1.12828i 0.554875 0.0836339i
\(183\) −8.35028 + 4.02129i −0.617271 + 0.297262i
\(184\) −10.3553 9.60828i −0.763400 0.708332i
\(185\) −1.67532 0.252513i −0.123172 0.0185652i
\(186\) 2.71575 0.837698i 0.199128 0.0614230i
\(187\) 0.182333 + 2.43307i 0.0133335 + 0.177924i
\(188\) −2.38833 2.99487i −0.174187 0.218423i
\(189\) −6.69865 + 17.0679i −0.487255 + 1.24151i
\(190\) −3.65634 + 3.39258i −0.265258 + 0.246124i
\(191\) −5.81055 + 3.96157i −0.420437 + 0.286649i −0.755001 0.655724i \(-0.772363\pi\)
0.334564 + 0.942373i \(0.391411\pi\)
\(192\) −0.268309 + 3.58034i −0.0193636 + 0.258389i
\(193\) 0.916048 + 4.01347i 0.0659385 + 0.288896i 0.997137 0.0756172i \(-0.0240927\pi\)
−0.931198 + 0.364513i \(0.881236\pi\)
\(194\) −0.185033 0.810682i −0.0132846 0.0582035i
\(195\) 0.0630742 0.841667i 0.00451684 0.0602730i
\(196\) 3.75935 2.56308i 0.268525 0.183077i
\(197\) −1.32247 + 1.22707i −0.0942220 + 0.0874252i −0.725878 0.687824i \(-0.758566\pi\)
0.631656 + 0.775249i \(0.282376\pi\)
\(198\) 0.175262 0.446561i 0.0124554 0.0317357i
\(199\) −14.1954 17.8005i −1.00629 1.26185i −0.964877 0.262704i \(-0.915386\pi\)
−0.0414119 0.999142i \(-0.513186\pi\)
\(200\) −0.690916 9.21964i −0.0488552 0.651927i
\(201\) −21.4775 + 6.62493i −1.51491 + 0.467286i
\(202\) 3.69327 + 0.556671i 0.259858 + 0.0391672i
\(203\) 8.73610 + 8.10592i 0.613154 + 0.568924i
\(204\) 0.761160 0.366556i 0.0532919 0.0256640i
\(205\) −1.84891 + 0.278679i −0.129134 + 0.0194638i
\(206\) 7.17169 + 4.88957i 0.499675 + 0.340673i
\(207\) −0.301516 + 0.378089i −0.0209568 + 0.0262790i
\(208\) −3.18611 5.51850i −0.220917 0.382639i
\(209\) 16.5425 28.6525i 1.14427 1.98194i
\(210\) −1.42844 3.63960i −0.0985716 0.251156i
\(211\) 7.10545 + 3.42180i 0.489159 + 0.235567i 0.662170 0.749353i \(-0.269635\pi\)
−0.173011 + 0.984920i \(0.555350\pi\)
\(212\) 8.09852 + 2.49806i 0.556209 + 0.171568i
\(213\) 2.90932 12.7466i 0.199343 0.873381i
\(214\) 17.4262 1.19123
\(215\) 2.49708 + 0.389499i 0.170300 + 0.0265636i
\(216\) 10.0071 0.680897
\(217\) 0.760027 3.32990i 0.0515940 0.226048i
\(218\) 1.82143 + 0.561838i 0.123363 + 0.0380524i
\(219\) 3.20454 + 1.54323i 0.216543 + 0.104282i
\(220\) 0.534990 + 1.36313i 0.0360690 + 0.0919024i
\(221\) 0.359693 0.623007i 0.0241956 0.0419080i
\(222\) −6.38604 11.0610i −0.428603 0.742363i
\(223\) 5.36853 6.73192i 0.359503 0.450803i −0.568884 0.822418i \(-0.692625\pi\)
0.928387 + 0.371615i \(0.121196\pi\)
\(224\) −13.3936 9.13160i −0.894897 0.610131i
\(225\) −0.312973 + 0.0471730i −0.0208648 + 0.00314487i
\(226\) 24.4048 11.7527i 1.62338 0.781779i
\(227\) 5.97274 + 5.54190i 0.396425 + 0.367829i 0.853049 0.521831i \(-0.174751\pi\)
−0.456624 + 0.889660i \(0.650941\pi\)
\(228\) −11.3279 1.70741i −0.750210 0.113076i
\(229\) −23.6766 + 7.30327i −1.56460 + 0.482614i −0.951565 0.307446i \(-0.900526\pi\)
−0.613030 + 0.790060i \(0.710049\pi\)
\(230\) −0.362079 4.83161i −0.0238748 0.318587i
\(231\) 16.1701 + 20.2767i 1.06392 + 1.33411i
\(232\) 2.37630 6.05470i 0.156011 0.397511i
\(233\) −6.32022 + 5.86431i −0.414051 + 0.384183i −0.859510 0.511119i \(-0.829231\pi\)
0.445459 + 0.895303i \(0.353041\pi\)
\(234\) −0.116866 + 0.0796778i −0.00763976 + 0.00520870i
\(235\) −0.125895 + 1.67996i −0.00821251 + 0.109588i
\(236\) 0.913952 + 4.00429i 0.0594932 + 0.260657i
\(237\) −3.15815 13.8368i −0.205144 0.898794i
\(238\) 0.249037 3.32317i 0.0161427 0.215409i
\(239\) 2.78125 1.89623i 0.179904 0.122657i −0.470020 0.882656i \(-0.655753\pi\)
0.649924 + 0.759999i \(0.274801\pi\)
\(240\) −2.41257 + 2.23854i −0.155731 + 0.144497i
\(241\) −9.87013 + 25.1487i −0.635791 + 1.61997i 0.140854 + 0.990030i \(0.455015\pi\)
−0.776645 + 0.629939i \(0.783080\pi\)
\(242\) −8.24610 10.3403i −0.530079 0.664698i
\(243\) −0.0506572 0.675974i −0.00324966 0.0433637i
\(244\) −4.53041 + 1.39745i −0.290030 + 0.0894624i
\(245\) −1.97870 0.298240i −0.126414 0.0190539i
\(246\) −10.3328 9.58739i −0.658792 0.611270i
\(247\) −8.78888 + 4.23250i −0.559223 + 0.269308i
\(248\) −1.84331 + 0.277835i −0.117051 + 0.0176425i
\(249\) 16.4892 + 11.2421i 1.04496 + 0.712441i
\(250\) 4.01484 5.03445i 0.253921 0.318407i
\(251\) 5.38285 + 9.32338i 0.339763 + 0.588486i 0.984388 0.176012i \(-0.0563199\pi\)
−0.644625 + 0.764499i \(0.722987\pi\)
\(252\) −0.0998134 + 0.172882i −0.00628765 + 0.0108905i
\(253\) 11.7416 + 29.9171i 0.738188 + 1.88087i
\(254\) −5.14484 2.47762i −0.322816 0.155460i
\(255\) −0.355042 0.109516i −0.0222336 0.00685816i
\(256\) −3.91277 + 17.1430i −0.244548 + 1.07143i
\(257\) 12.7546 0.795610 0.397805 0.917470i \(-0.369772\pi\)
0.397805 + 0.917470i \(0.369772\pi\)
\(258\) 9.44114 + 16.5482i 0.587780 + 1.03025i
\(259\) −15.3495 −0.953772
\(260\) 0.0960749 0.420932i 0.00595831 0.0261051i
\(261\) −0.212775 0.0656323i −0.0131704 0.00406254i
\(262\) −2.35040 1.13189i −0.145208 0.0699286i
\(263\) −5.41921 13.8079i −0.334163 0.851433i −0.994905 0.100820i \(-0.967853\pi\)
0.660742 0.750613i \(-0.270242\pi\)
\(264\) 7.07739 12.2584i 0.435583 0.754452i
\(265\) −1.86364 3.22792i −0.114482 0.198289i
\(266\) −28.1747 + 35.3300i −1.72750 + 2.16622i
\(267\) −3.86113 2.63247i −0.236297 0.161105i
\(268\) −11.3691 + 1.71361i −0.694476 + 0.104675i
\(269\) −9.64831 + 4.64638i −0.588268 + 0.283295i −0.704245 0.709957i \(-0.748714\pi\)
0.115977 + 0.993252i \(0.463000\pi\)
\(270\) 2.51608 + 2.33458i 0.153124 + 0.142078i
\(271\) −14.3276 2.15955i −0.870343 0.131183i −0.301338 0.953517i \(-0.597433\pi\)
−0.569005 + 0.822334i \(0.692671\pi\)
\(272\) −2.68049 + 0.826822i −0.162529 + 0.0501335i
\(273\) −0.571441 7.62534i −0.0345852 0.461507i
\(274\) 3.37028 + 4.22620i 0.203606 + 0.255314i
\(275\) −7.68476 + 19.5804i −0.463408 + 1.18075i
\(276\) 8.15754 7.56909i 0.491026 0.455606i
\(277\) 16.8697 11.5016i 1.01360 0.691061i 0.0618982 0.998082i \(-0.480285\pi\)
0.951703 + 0.307021i \(0.0993322\pi\)
\(278\) 2.54447 33.9535i 0.152607 2.03640i
\(279\) 0.0142005 + 0.0622163i 0.000850159 + 0.00372479i
\(280\) 0.570670 + 2.50027i 0.0341041 + 0.149420i
\(281\) −0.541902 + 7.23118i −0.0323272 + 0.431376i 0.957435 + 0.288649i \(0.0932061\pi\)
−0.989762 + 0.142727i \(0.954413\pi\)
\(282\) −10.4932 + 7.15412i −0.624859 + 0.426022i
\(283\) 22.3431 20.7313i 1.32816 1.23235i 0.376044 0.926602i \(-0.377284\pi\)
0.952113 0.305748i \(-0.0989065\pi\)
\(284\) 2.44344 6.22579i 0.144992 0.369433i
\(285\) 3.14129 + 3.93905i 0.186074 + 0.233329i
\(286\) 0.702466 + 9.37376i 0.0415377 + 0.554282i
\(287\) −16.1874 + 4.99316i −0.955513 + 0.294737i
\(288\) 0.299493 + 0.0451413i 0.0176478 + 0.00265998i
\(289\) 12.2297 + 11.3475i 0.719396 + 0.667502i
\(290\) 2.00999 0.967958i 0.118030 0.0568405i
\(291\) −0.830552 + 0.125186i −0.0486878 + 0.00733850i
\(292\) 1.50330 + 1.02493i 0.0879738 + 0.0599795i
\(293\) 16.0151 20.0823i 0.935611 1.17322i −0.0490592 0.998796i \(-0.515622\pi\)
0.984671 0.174424i \(-0.0558063\pi\)
\(294\) −7.54248 13.0640i −0.439886 0.761905i
\(295\) 0.903177 1.56435i 0.0525850 0.0910799i
\(296\) 3.06064 + 7.79837i 0.177896 + 0.453271i
\(297\) −20.5126 9.87833i −1.19026 0.573199i
\(298\) 20.4877 + 6.31962i 1.18682 + 0.366086i
\(299\) 2.10859 9.23832i 0.121943 0.534266i
\(300\) 7.28330 0.420501
\(301\) 22.8964 + 0.117571i 1.31973 + 0.00677671i
\(302\) −1.70541 −0.0981352
\(303\) 0.839512 3.67814i 0.0482287 0.211304i
\(304\) 36.3476 + 11.2118i 2.08468 + 0.643038i
\(305\) 1.87860 + 0.904685i 0.107568 + 0.0518021i
\(306\) 0.0227479 + 0.0579606i 0.00130041 + 0.00331339i
\(307\) −7.92491 + 13.7263i −0.452298 + 0.783404i −0.998528 0.0542314i \(-0.982729\pi\)
0.546230 + 0.837635i \(0.316062\pi\)
\(308\) 6.63340 + 11.4894i 0.377973 + 0.654669i
\(309\) 5.46653 6.85481i 0.310980 0.389957i
\(310\) −0.528280 0.360175i −0.0300043 0.0204566i
\(311\) −26.7139 + 4.02647i −1.51481 + 0.228320i −0.853221 0.521550i \(-0.825354\pi\)
−0.661585 + 0.749870i \(0.730116\pi\)
\(312\) −3.76014 + 1.81079i −0.212876 + 0.102516i
\(313\) −14.1284 13.1093i −0.798586 0.740979i 0.171121 0.985250i \(-0.445261\pi\)
−0.969707 + 0.244271i \(0.921452\pi\)
\(314\) 7.98831 + 1.20404i 0.450807 + 0.0679481i
\(315\) 0.0838943 0.0258780i 0.00472691 0.00145806i
\(316\) −0.542550 7.23983i −0.0305208 0.407272i
\(317\) −8.01912 10.0557i −0.450399 0.564782i 0.503852 0.863790i \(-0.331916\pi\)
−0.954251 + 0.299008i \(0.903344\pi\)
\(318\) 10.2654 26.1559i 0.575657 1.46675i
\(319\) −10.8477 + 10.0652i −0.607356 + 0.563544i
\(320\) 0.667388 0.455018i 0.0373081 0.0254363i
\(321\) 1.31542 17.5530i 0.0734195 0.979715i
\(322\) −9.76783 42.7956i −0.544340 2.38491i
\(323\) 0.955553 + 4.18655i 0.0531684 + 0.232946i
\(324\) −0.576300 + 7.69019i −0.0320167 + 0.427233i
\(325\) 5.12424 3.49365i 0.284242 0.193793i
\(326\) −11.8072 + 10.9554i −0.653938 + 0.606766i
\(327\) 0.703420 1.79228i 0.0388992 0.0991135i
\(328\) 5.76451 + 7.22846i 0.318292 + 0.399125i
\(329\) 1.14059 + 15.2201i 0.0628827 + 0.839111i
\(330\) 4.63925 1.43102i 0.255382 0.0787750i
\(331\) 2.51633 + 0.379275i 0.138310 + 0.0208469i 0.217832 0.975986i \(-0.430101\pi\)
−0.0795224 + 0.996833i \(0.525340\pi\)
\(332\) 7.48360 + 6.94377i 0.410716 + 0.381089i
\(333\) 0.258391 0.124435i 0.0141597 0.00681897i
\(334\) −37.9536 + 5.72058i −2.07673 + 0.313016i
\(335\) 4.17790 + 2.84844i 0.228263 + 0.155627i
\(336\) −18.5906 + 23.3119i −1.01420 + 1.27177i
\(337\) −0.368739 0.638675i −0.0200865 0.0347908i 0.855807 0.517295i \(-0.173061\pi\)
−0.875894 + 0.482504i \(0.839727\pi\)
\(338\) −9.63807 + 16.6936i −0.524242 + 0.908014i
\(339\) −9.99609 25.4696i −0.542913 1.38332i
\(340\) −0.171241 0.0824655i −0.00928687 0.00447232i
\(341\) 4.05269 + 1.25009i 0.219465 + 0.0676961i
\(342\) 0.187878 0.823145i 0.0101593 0.0445106i
\(343\) 6.31287 0.340863
\(344\) −4.50572 11.6560i −0.242932 0.628451i
\(345\) −4.89412 −0.263491
\(346\) 3.51062 15.3810i 0.188732 0.826888i
\(347\) −5.00949 1.54522i −0.268923 0.0829519i 0.157361 0.987541i \(-0.449701\pi\)
−0.426284 + 0.904589i \(0.640178\pi\)
\(348\) 4.61647 + 2.22317i 0.247469 + 0.119175i
\(349\) 3.64385 + 9.28439i 0.195051 + 0.496982i 0.994620 0.103593i \(-0.0330338\pi\)
−0.799569 + 0.600575i \(0.794939\pi\)
\(350\) 14.3648 24.8806i 0.767832 1.32992i
\(351\) 3.35638 + 5.81343i 0.179151 + 0.310298i
\(352\) 12.5499 15.7371i 0.668914 0.838792i
\(353\) 20.6981 + 14.1117i 1.10165 + 0.751090i 0.970699 0.240299i \(-0.0772454\pi\)
0.130948 + 0.991389i \(0.458198\pi\)
\(354\) 13.4652 2.02955i 0.715665 0.107869i
\(355\) −2.65011 + 1.27622i −0.140653 + 0.0677349i
\(356\) −1.75237 1.62596i −0.0928756 0.0861759i
\(357\) −3.32857 0.501701i −0.176167 0.0265528i
\(358\) −11.7165 + 3.61407i −0.619238 + 0.191010i
\(359\) 1.02841 + 13.7231i 0.0542772 + 0.724279i 0.956262 + 0.292511i \(0.0944910\pi\)
−0.901985 + 0.431768i \(0.857890\pi\)
\(360\) −0.0298756 0.0374629i −0.00157458 0.00197447i
\(361\) 14.3323 36.5180i 0.754330 1.92200i
\(362\) −23.3723 + 21.6864i −1.22842 + 1.13981i
\(363\) −11.0380 + 7.52560i −0.579346 + 0.394992i
\(364\) 0.292317 3.90070i 0.0153216 0.204452i
\(365\) −0.178057 0.780120i −0.00931995 0.0408334i
\(366\) 3.49769 + 15.3244i 0.182827 + 0.801019i
\(367\) −2.05378 + 27.4058i −0.107206 + 1.43057i 0.641222 + 0.767355i \(0.278428\pi\)
−0.748429 + 0.663215i \(0.769191\pi\)
\(368\) −30.5291 + 20.8144i −1.59144 + 1.08503i
\(369\) 0.232018 0.215281i 0.0120784 0.0112071i
\(370\) −1.04977 + 2.67476i −0.0545748 + 0.139054i
\(371\) −21.0543 26.4012i −1.09308 1.37068i
\(372\) −0.109741 1.46440i −0.00568983 0.0759255i
\(373\) 15.0169 4.63210i 0.777545 0.239841i 0.119515 0.992832i \(-0.461866\pi\)
0.658030 + 0.752992i \(0.271390\pi\)
\(374\) 4.09178 + 0.616736i 0.211581 + 0.0318907i
\(375\) −4.76805 4.42410i −0.246221 0.228460i
\(376\) 7.50520 3.61431i 0.387051 0.186394i
\(377\) 4.31437 0.650287i 0.222201 0.0334915i
\(378\) 25.6930 + 17.5172i 1.32150 + 0.900986i
\(379\) −16.0442 + 20.1188i −0.824136 + 1.03343i 0.174672 + 0.984627i \(0.444113\pi\)
−0.998808 + 0.0488070i \(0.984458\pi\)
\(380\) 1.28864 + 2.23199i 0.0661057 + 0.114498i
\(381\) −2.88402 + 4.99527i −0.147753 + 0.255916i
\(382\) 4.35743 + 11.1025i 0.222945 + 0.568055i
\(383\) 16.2586 + 7.82975i 0.830777 + 0.400081i 0.800407 0.599457i \(-0.204617\pi\)
0.0303708 + 0.999539i \(0.490331\pi\)
\(384\) 21.0183 + 6.48329i 1.07259 + 0.330849i
\(385\) 1.29834 5.68838i 0.0661694 0.289907i
\(386\) 6.98179 0.355364
\(387\) −0.386387 + 0.183636i −0.0196412 + 0.00933474i
\(388\) −0.429662 −0.0218128
\(389\) 5.62992 24.6663i 0.285448 1.25063i −0.605249 0.796036i \(-0.706927\pi\)
0.890698 0.454596i \(-0.150216\pi\)
\(390\) −1.36785 0.421927i −0.0692640 0.0213651i
\(391\) −3.75829 1.80990i −0.190065 0.0915304i
\(392\) 3.61488 + 9.21056i 0.182579 + 0.465204i
\(393\) −1.31756 + 2.28207i −0.0664619 + 0.115115i
\(394\) 1.52982 + 2.64973i 0.0770712 + 0.133491i
\(395\) −1.99078 + 2.49636i −0.100167 + 0.125606i
\(396\) −0.204807 0.139635i −0.0102920 0.00701694i
\(397\) −2.61362 + 0.393940i −0.131174 + 0.0197713i −0.214301 0.976768i \(-0.568747\pi\)
0.0831270 + 0.996539i \(0.473509\pi\)
\(398\) −34.7896 + 16.7538i −1.74384 + 0.839791i
\(399\) 33.4605 + 31.0468i 1.67512 + 1.55428i
\(400\) −23.9130 3.60431i −1.19565 0.180215i
\(401\) 28.1025 8.66848i 1.40337 0.432883i 0.501603 0.865098i \(-0.332744\pi\)
0.901771 + 0.432215i \(0.142268\pi\)
\(402\) 2.84862 + 38.0122i 0.142076 + 1.89588i
\(403\) −0.779651 0.977651i −0.0388372 0.0487003i
\(404\) 0.705078 1.79651i 0.0350789 0.0893797i
\(405\) 2.48621 2.30686i 0.123541 0.114629i
\(406\) 16.6997 11.3856i 0.828791 0.565060i
\(407\) 1.42433 19.0064i 0.0706014 0.942111i
\(408\) 0.408814 + 1.79113i 0.0202393 + 0.0886742i
\(409\) 0.0843680 + 0.369640i 0.00417173 + 0.0182775i 0.976971 0.213372i \(-0.0684448\pi\)
−0.972799 + 0.231650i \(0.925588\pi\)
\(410\) −0.236979 + 3.16226i −0.0117035 + 0.156173i
\(411\) 4.51138 3.07581i 0.222530 0.151718i
\(412\) 3.28776 3.05059i 0.161976 0.150292i
\(413\) 5.97889 15.2340i 0.294202 0.749614i
\(414\) 0.511364 + 0.641230i 0.0251322 + 0.0315147i
\(415\) −0.335522 4.47723i −0.0164701 0.219779i
\(416\) −5.67111 + 1.74931i −0.278049 + 0.0857668i
\(417\) −34.0087 5.12599i −1.66541 0.251021i
\(418\) −41.1326 38.1655i −2.01186 1.86673i
\(419\) −14.9002 + 7.17556i −0.727922 + 0.350549i −0.760867 0.648908i \(-0.775226\pi\)
0.0329444 + 0.999457i \(0.489512\pi\)
\(420\) −1.99772 + 0.301108i −0.0974787 + 0.0146926i
\(421\) −7.57559 5.16495i −0.369212 0.251724i 0.364473 0.931214i \(-0.381249\pi\)
−0.733685 + 0.679489i \(0.762201\pi\)
\(422\) 8.33932 10.4572i 0.405952 0.509047i
\(423\) −0.142586 0.246966i −0.00693277 0.0120079i
\(424\) −9.21510 + 15.9610i −0.447525 + 0.775136i
\(425\) −0.997429 2.54141i −0.0483824 0.123276i
\(426\) −19.9779 9.62086i −0.967933 0.466132i
\(427\) 18.0512 + 5.56807i 0.873561 + 0.269458i
\(428\) 2.00365 8.77857i 0.0968501 0.424328i
\(429\) 9.49503 0.458425
\(430\) 1.58639 3.98182i 0.0765027 0.192020i
\(431\) 9.52715 0.458907 0.229453 0.973320i \(-0.426306\pi\)
0.229453 + 0.973320i \(0.426306\pi\)
\(432\) 5.82453 25.5190i 0.280233 1.22778i
\(433\) −27.5381 8.49437i −1.32339 0.408213i −0.449045 0.893509i \(-0.648236\pi\)
−0.874350 + 0.485296i \(0.838712\pi\)
\(434\) −5.21900 2.51334i −0.250520 0.120644i
\(435\) −0.823282 2.09769i −0.0394733 0.100576i
\(436\) 0.492458 0.852961i 0.0235844 0.0408494i
\(437\) 28.2821 + 48.9861i 1.35292 + 2.34332i
\(438\) 3.76102 4.71617i 0.179708 0.225347i
\(439\) −5.56118 3.79155i −0.265421 0.180961i 0.423296 0.905992i \(-0.360873\pi\)
−0.688716 + 0.725031i \(0.741825\pi\)
\(440\) −3.14889 + 0.474619i −0.150117 + 0.0226266i
\(441\) 0.305182 0.146968i 0.0145325 0.00699848i
\(442\) −0.894368 0.829852i −0.0425408 0.0394720i
\(443\) −3.28651 0.495362i −0.156147 0.0235354i 0.0705035 0.997512i \(-0.477539\pi\)
−0.226650 + 0.973976i \(0.572778\pi\)
\(444\) −6.30631 + 1.94524i −0.299284 + 0.0923169i
\(445\) 0.0785665 + 1.04840i 0.00372441 + 0.0496988i
\(446\) −9.10489 11.4172i −0.431129 0.540619i
\(447\) 7.91216 20.1598i 0.374232 0.953528i
\(448\) 5.36447 4.97750i 0.253447 0.235165i
\(449\) −3.54373 + 2.41607i −0.167239 + 0.114022i −0.644047 0.764986i \(-0.722746\pi\)
0.476808 + 0.879007i \(0.341794\pi\)
\(450\) −0.0401143 + 0.535288i −0.00189101 + 0.0252337i
\(451\) −4.68064 20.5072i −0.220403 0.965648i
\(452\) −3.11448 13.6454i −0.146493 0.641827i
\(453\) −0.128733 + 1.71782i −0.00604841 + 0.0807105i
\(454\) 11.4173 7.78420i 0.535841 0.365331i
\(455\) −1.26108 + 1.17011i −0.0591204 + 0.0548557i
\(456\) 9.10154 23.1903i 0.426219 1.08599i
\(457\) −1.37989 1.73032i −0.0645484 0.0809412i 0.748509 0.663125i \(-0.230770\pi\)
−0.813058 + 0.582183i \(0.802199\pi\)
\(458\) 3.14030 + 41.9044i 0.146737 + 1.95806i
\(459\) 2.82375 0.871010i 0.131801 0.0406553i
\(460\) −2.47559 0.373136i −0.115425 0.0173975i
\(461\) −11.1729 10.3670i −0.520375 0.482837i 0.375699 0.926742i \(-0.377403\pi\)
−0.896074 + 0.443904i \(0.853593\pi\)
\(462\) 39.6290 19.0843i 1.84371 0.887883i
\(463\) 10.6302 1.60224i 0.494027 0.0744626i 0.102697 0.994713i \(-0.467253\pi\)
0.391331 + 0.920250i \(0.372015\pi\)
\(464\) −14.0569 9.58384i −0.652576 0.444918i
\(465\) −0.402675 + 0.504938i −0.0186736 + 0.0234160i
\(466\) 7.31117 + 12.6633i 0.338683 + 0.586617i
\(467\) 7.41391 12.8413i 0.343075 0.594223i −0.641927 0.766766i \(-0.721865\pi\)
0.985002 + 0.172543i \(0.0551982\pi\)
\(468\) 0.0267012 + 0.0680335i 0.00123426 + 0.00314485i
\(469\) 41.2745 + 19.8767i 1.90588 + 0.917822i
\(470\) 2.73022 + 0.842161i 0.125936 + 0.0388460i
\(471\) 1.81581 7.95559i 0.0836682 0.366574i
\(472\) −8.93184 −0.411121
\(473\) −2.27021 + 28.3403i −0.104384 + 1.30309i
\(474\) −24.0703 −1.10559
\(475\) −8.23789 + 36.0926i −0.377981 + 1.65604i
\(476\) −1.64544 0.507551i −0.0754186 0.0232636i
\(477\) 0.568453 + 0.273752i 0.0260277 + 0.0125343i
\(478\) −2.08571 5.31429i −0.0953980 0.243070i
\(479\) 17.1592 29.7205i 0.784022 1.35797i −0.145559 0.989350i \(-0.546498\pi\)
0.929581 0.368617i \(-0.120169\pi\)
\(480\) 1.53260 + 2.65454i 0.0699533 + 0.121163i
\(481\) −3.50378 + 4.39360i −0.159758 + 0.200331i
\(482\) 37.8573 + 25.8107i 1.72435 + 1.17564i
\(483\) −43.8446 + 6.60851i −1.99500 + 0.300697i
\(484\) −6.15713 + 2.96512i −0.279870 + 0.134778i
\(485\) 0.138520 + 0.128528i 0.00628986 + 0.00583614i
\(486\) −1.13681 0.171346i −0.0515667 0.00777243i
\(487\) −6.21312 + 1.91649i −0.281543 + 0.0868446i −0.432311 0.901725i \(-0.642302\pi\)
0.150768 + 0.988569i \(0.451825\pi\)
\(488\) −0.770474 10.2813i −0.0348777 0.465411i
\(489\) 10.1439 + 12.7201i 0.458725 + 0.575223i
\(490\) −1.23987 + 3.15913i −0.0560115 + 0.142715i
\(491\) 5.97382 5.54289i 0.269595 0.250147i −0.533777 0.845625i \(-0.679228\pi\)
0.803372 + 0.595478i \(0.203037\pi\)
\(492\) −6.01778 + 4.10285i −0.271302 + 0.184971i
\(493\) 0.143533 1.91531i 0.00646439 0.0862613i
\(494\) 3.68141 + 16.1293i 0.165634 + 0.725692i
\(495\) 0.0242583 + 0.106283i 0.00109033 + 0.00477705i
\(496\) −0.364380 + 4.86232i −0.0163612 + 0.218325i
\(497\) −22.0180 + 15.0116i −0.987643 + 0.673364i
\(498\) 24.8112 23.0214i 1.11182 1.03161i
\(499\) 2.88373 7.34763i 0.129094 0.328925i −0.851684 0.524056i \(-0.824418\pi\)
0.980777 + 0.195131i \(0.0625133\pi\)
\(500\) −2.07452 2.60137i −0.0927754 0.116337i
\(501\) 2.89730 + 38.6617i 0.129442 + 1.72728i
\(502\) 17.4472 5.38175i 0.778707 0.240199i
\(503\) −24.2178 3.65024i −1.07982 0.162756i −0.415044 0.909801i \(-0.636234\pi\)
−0.664773 + 0.747045i \(0.731472\pi\)
\(504\) −0.318231 0.295275i −0.0141751 0.0131526i
\(505\) −0.764713 + 0.368266i −0.0340293 + 0.0163876i
\(506\) 53.8977 8.12377i 2.39604 0.361146i
\(507\) 16.0876 + 10.9684i 0.714477 + 0.487122i
\(508\) −1.83967 + 2.30688i −0.0816223 + 0.102351i
\(509\) −15.1556 26.2503i −0.671760 1.16352i −0.977405 0.211376i \(-0.932205\pi\)
0.305645 0.952146i \(-0.401128\pi\)
\(510\) −0.315069 + 0.545716i −0.0139515 + 0.0241647i
\(511\) −2.64854 6.74837i −0.117165 0.298530i
\(512\) 3.73249 + 1.79747i 0.164954 + 0.0794377i
\(513\) −38.2902 11.8110i −1.69055 0.521466i
\(514\) 4.81346 21.0891i 0.212313 0.930202i
\(515\) −1.97249 −0.0869184
\(516\) 9.42182 2.85335i 0.414773 0.125612i
\(517\) −18.9520 −0.833507
\(518\) −5.79275 + 25.3797i −0.254519 + 1.11512i
\(519\) −15.2280 4.69722i −0.668435 0.206185i
\(520\) 0.845935 + 0.407381i 0.0370967 + 0.0178648i
\(521\) 4.59482 + 11.7074i 0.201303 + 0.512911i 0.995501 0.0947472i \(-0.0302043\pi\)
−0.794199 + 0.607658i \(0.792109\pi\)
\(522\) −0.188819 + 0.327044i −0.00826439 + 0.0143143i
\(523\) 18.0801 + 31.3157i 0.790589 + 1.36934i 0.925603 + 0.378496i \(0.123559\pi\)
−0.135014 + 0.990844i \(0.543108\pi\)
\(524\) −0.840448 + 1.05389i −0.0367151 + 0.0460393i
\(525\) −23.9774 16.3475i −1.04646 0.713465i
\(526\) −24.8759 + 3.74944i −1.08464 + 0.163483i
\(527\) −0.495953 + 0.238838i −0.0216041 + 0.0104040i
\(528\) −27.1406 25.1828i −1.18114 1.09594i
\(529\) −31.5895 4.76135i −1.37346 0.207015i
\(530\) −6.04053 + 1.86326i −0.262384 + 0.0809347i
\(531\) 0.0228502 + 0.304915i 0.000991616 + 0.0132322i
\(532\) 14.5583 + 18.2555i 0.631180 + 0.791475i
\(533\) −2.26582 + 5.77321i −0.0981434 + 0.250065i
\(534\) −5.80983 + 5.39073i −0.251416 + 0.233280i
\(535\) −3.27195 + 2.23078i −0.141459 + 0.0964450i
\(536\) 1.86847 24.9330i 0.0807056 1.07694i
\(537\) 2.75596 + 12.0747i 0.118929 + 0.521060i
\(538\) 4.04140 + 17.7065i 0.174237 + 0.763383i
\(539\) 1.68226 22.4482i 0.0724600 0.966912i
\(540\) 1.46536 0.999066i 0.0630591 0.0429929i
\(541\) 3.25662 3.02170i 0.140013 0.129913i −0.607057 0.794658i \(-0.707650\pi\)
0.747070 + 0.664745i \(0.231460\pi\)
\(542\) −8.97782 + 22.8751i −0.385630 + 0.982570i
\(543\) 20.0800 + 25.1795i 0.861715 + 1.08056i
\(544\) 0.195236 + 2.60524i 0.00837067 + 0.111699i
\(545\) −0.413916 + 0.127676i −0.0177302 + 0.00546905i
\(546\) −12.8238 1.93288i −0.548808 0.0827196i
\(547\) −0.724131 0.671896i −0.0309616 0.0287282i 0.664540 0.747252i \(-0.268627\pi\)
−0.695502 + 0.718524i \(0.744818\pi\)
\(548\) 2.51650 1.21188i 0.107499 0.0517690i
\(549\) −0.349011 + 0.0526049i −0.0148954 + 0.00224512i
\(550\) 29.4752 + 20.0959i 1.25683 + 0.856890i
\(551\) −16.2385 + 20.3625i −0.691785 + 0.867470i
\(552\) 12.0999 + 20.9577i 0.515007 + 0.892019i
\(553\) −14.4638 + 25.0521i −0.615065 + 1.06532i
\(554\) −12.6508 32.2338i −0.537483 1.36948i
\(555\) 2.61500 + 1.25932i 0.111000 + 0.0534550i
\(556\) −16.8118 5.18576i −0.712980 0.219925i
\(557\) −2.10042 + 9.20253i −0.0889976 + 0.389924i −0.999734 0.0230643i \(-0.992658\pi\)
0.910736 + 0.412988i \(0.135515\pi\)
\(558\) 0.108231 0.00458178
\(559\) 5.26013 6.52695i 0.222480 0.276061i
\(560\) 6.70806 0.283467
\(561\) 0.930095 4.07501i 0.0392687 0.172047i
\(562\) 11.7519 + 3.62499i 0.495725 + 0.152911i
\(563\) 24.8446 + 11.9645i 1.04708 + 0.504245i 0.876652 0.481125i \(-0.159772\pi\)
0.170425 + 0.985371i \(0.445486\pi\)
\(564\) 2.39745 + 6.10859i 0.100951 + 0.257218i
\(565\) −3.07776 + 5.33083i −0.129482 + 0.224270i
\(566\) −25.8462 44.7670i −1.08640 1.88170i
\(567\) 19.1581 24.0234i 0.804563 1.00889i
\(568\) 12.0170 + 8.19308i 0.504224 + 0.343774i
\(569\) 20.0473 3.02164i 0.840425 0.126674i 0.285297 0.958439i \(-0.407908\pi\)
0.555127 + 0.831765i \(0.312670\pi\)
\(570\) 7.69852 3.70741i 0.322456 0.155286i
\(571\) 13.1590 + 12.2098i 0.550688 + 0.510964i 0.905712 0.423893i \(-0.139337\pi\)
−0.355024 + 0.934857i \(0.615527\pi\)
\(572\) 4.80287 + 0.723917i 0.200818 + 0.0302685i
\(573\) 11.5123 3.55107i 0.480933 0.148348i
\(574\) 2.14698 + 28.6495i 0.0896134 + 1.19581i
\(575\) −22.4218 28.1161i −0.935055 1.17252i
\(576\) −0.0499533 + 0.127279i −0.00208139 + 0.00530329i
\(577\) −0.766879 + 0.711560i −0.0319256 + 0.0296226i −0.695974 0.718067i \(-0.745027\pi\)
0.664049 + 0.747689i \(0.268837\pi\)
\(578\) 23.3780 15.9389i 0.972397 0.662969i
\(579\) 0.527022 7.03262i 0.0219023 0.292266i
\(580\) −0.256510 1.12384i −0.0106510 0.0466650i
\(581\) −9.05140 39.6568i −0.375516 1.64524i
\(582\) −0.106453 + 1.42052i −0.00441264 + 0.0588825i
\(583\) 34.6448 23.6204i 1.43484 0.978257i
\(584\) −2.90043 + 2.69120i −0.120021 + 0.111363i
\(585\) 0.0117430 0.0299208i 0.000485514 0.00123707i
\(586\) −27.1612 34.0591i −1.12202 1.40697i
\(587\) −1.23653 16.5003i −0.0510370 0.681042i −0.962781 0.270283i \(-0.912883\pi\)
0.911744 0.410759i \(-0.134736\pi\)
\(588\) −7.44830 + 2.29750i −0.307163 + 0.0947472i
\(589\) 7.38099 + 1.11251i 0.304128 + 0.0458400i
\(590\) −2.24573 2.08373i −0.0924551 0.0857858i
\(591\) 2.78450 1.34094i 0.114539 0.0551590i
\(592\) 21.6679 3.26592i 0.890547 0.134228i
\(593\) −8.32969 5.67909i −0.342059 0.233212i 0.380090 0.924950i \(-0.375893\pi\)
−0.722149 + 0.691737i \(0.756846\pi\)
\(594\) −24.0746 + 30.1886i −0.987792 + 1.23865i
\(595\) 0.378650 + 0.655841i 0.0155231 + 0.0268869i
\(596\) 5.53923 9.59422i 0.226896 0.392995i
\(597\) 14.2497 + 36.3075i 0.583200 + 1.48597i
\(598\) −14.4794 6.97290i −0.592105 0.285143i
\(599\) 32.4927 + 10.0227i 1.32761 + 0.409515i 0.875833 0.482614i \(-0.160312\pi\)
0.451782 + 0.892129i \(0.350789\pi\)
\(600\) −3.52442 + 15.4415i −0.143884 + 0.630396i
\(601\) −27.2454 −1.11136 −0.555681 0.831396i \(-0.687542\pi\)
−0.555681 + 0.831396i \(0.687542\pi\)
\(602\) 8.83526 37.8137i 0.360098 1.54117i
\(603\) −0.855944 −0.0348567
\(604\) −0.196087 + 0.859113i −0.00797866 + 0.0349568i
\(605\) 2.87199 + 0.885890i 0.116763 + 0.0360166i
\(606\) −5.76481 2.77619i −0.234180 0.112775i
\(607\) −8.72876 22.2405i −0.354289 0.902715i −0.991272 0.131836i \(-0.957913\pi\)
0.636982 0.770879i \(-0.280183\pi\)
\(608\) 17.7132 30.6801i 0.718364 1.24424i
\(609\) −10.2080 17.6807i −0.413648 0.716459i
\(610\) 2.20482 2.76476i 0.0892705 0.111942i
\(611\) 4.61691 + 3.14776i 0.186780 + 0.127345i
\(612\) 0.0318137 0.00479514i 0.00128599 0.000193832i
\(613\) 30.1578 14.5232i 1.21806 0.586588i 0.289291 0.957241i \(-0.406581\pi\)
0.928771 + 0.370654i \(0.120866\pi\)
\(614\) 19.7051 + 18.2837i 0.795233 + 0.737868i
\(615\) 3.16740 + 0.477409i 0.127722 + 0.0192510i
\(616\) −27.5688 + 8.50386i −1.11078 + 0.342630i
\(617\) −1.17887 15.7309i −0.0474594 0.633302i −0.969323 0.245789i \(-0.920953\pi\)
0.921864 0.387513i \(-0.126666\pi\)
\(618\) −9.27110 11.6256i −0.372939 0.467650i
\(619\) 7.08652 18.0562i 0.284831 0.725738i −0.714819 0.699309i \(-0.753491\pi\)
0.999651 0.0264292i \(-0.00841367\pi\)
\(620\) −0.242182 + 0.224712i −0.00972628 + 0.00902467i
\(621\) 32.1607 21.9268i 1.29056 0.879892i
\(622\) −3.42397 + 45.6897i −0.137289 + 1.83199i
\(623\) 2.11949 + 9.28610i 0.0849156 + 0.372040i
\(624\) 2.42911 + 10.6426i 0.0972424 + 0.426047i
\(625\) 1.70340 22.7303i 0.0681359 0.909210i
\(626\) −27.0075 + 18.4134i −1.07944 + 0.735947i
\(627\) −41.5483 + 38.5512i −1.65928 + 1.53959i
\(628\) 1.52504 3.88574i 0.0608557 0.155058i
\(629\) 1.54240 + 1.93411i 0.0614994 + 0.0771178i
\(630\) −0.0111272 0.148482i −0.000443316 0.00591565i
\(631\) −1.52150 + 0.469320i −0.0605699 + 0.0186833i −0.324892 0.945751i \(-0.605328\pi\)
0.264322 + 0.964434i \(0.414852\pi\)
\(632\) 15.6119 + 2.35311i 0.621007 + 0.0936017i
\(633\) −9.90382 9.18940i −0.393641 0.365246i
\(634\) −19.6529 + 9.46434i −0.780516 + 0.375877i
\(635\) 1.28317 0.193406i 0.0509209 0.00767510i
\(636\) −11.9959 8.17868i −0.475669 0.324306i
\(637\) −4.13827 + 5.18922i −0.163964 + 0.205604i
\(638\) 12.5485 + 21.7347i 0.496802 + 0.860486i
\(639\) 0.248952 0.431198i 0.00984840 0.0170579i
\(640\) −1.80786 4.60636i −0.0714620 0.182082i
\(641\) 6.14244 + 2.95804i 0.242612 + 0.116836i 0.551239 0.834347i \(-0.314155\pi\)
−0.308627 + 0.951183i \(0.599870\pi\)
\(642\) −28.5267 8.79933i −1.12586 0.347282i
\(643\) −3.83478 + 16.8013i −0.151229 + 0.662578i 0.841300 + 0.540569i \(0.181791\pi\)
−0.992529 + 0.122009i \(0.961066\pi\)
\(644\) −22.6817 −0.893786
\(645\) −3.89106 1.89851i −0.153210 0.0747539i
\(646\) 7.28288 0.286541
\(647\) −3.00033 + 13.1453i −0.117955 + 0.516795i 0.881084 + 0.472961i \(0.156815\pi\)
−0.999039 + 0.0438349i \(0.986042\pi\)
\(648\) −16.0253 4.94314i −0.629531 0.194185i
\(649\) 18.3085 + 8.81691i 0.718671 + 0.346094i
\(650\) −3.84275 9.79116i −0.150725 0.384041i
\(651\) −2.92560 + 5.06728i −0.114663 + 0.198602i
\(652\) 4.16131 + 7.20760i 0.162970 + 0.282272i
\(653\) −23.9528 + 30.0358i −0.937344 + 1.17539i 0.0469569 + 0.998897i \(0.485048\pi\)
−0.984301 + 0.176496i \(0.943524\pi\)
\(654\) −2.69800 1.83946i −0.105500 0.0719287i
\(655\) 0.586210 0.0883570i 0.0229051 0.00345239i
\(656\) 21.7884 10.4927i 0.850693 0.409672i
\(657\) 0.0992925 + 0.0921300i 0.00387377 + 0.00359433i
\(658\) 25.5962 + 3.85800i 0.997842 + 0.150401i
\(659\) −6.80245 + 2.09828i −0.264986 + 0.0817373i −0.424401 0.905474i \(-0.639515\pi\)
0.159415 + 0.987212i \(0.449039\pi\)
\(660\) −0.187469 2.50160i −0.00729721 0.0973746i
\(661\) 13.9581 + 17.5029i 0.542908 + 0.680785i 0.975296 0.220903i \(-0.0709003\pi\)
−0.432388 + 0.901688i \(0.642329\pi\)
\(662\) 1.57675 4.01750i 0.0612822 0.156144i
\(663\) −0.903406 + 0.838238i −0.0350854 + 0.0325545i
\(664\) −18.3430 + 12.5060i −0.711846 + 0.485328i
\(665\) 0.767406 10.2403i 0.0297587 0.397103i
\(666\) −0.108233 0.474198i −0.00419393 0.0183748i
\(667\) −5.62969 24.6653i −0.217983 0.955044i
\(668\) −1.48209 + 19.7772i −0.0573439 + 0.765201i
\(669\) −12.1876 + 8.30936i −0.471199 + 0.321258i
\(670\) 6.28647 5.83299i 0.242867 0.225348i
\(671\) −8.56964 + 21.8351i −0.330827 + 0.842935i
\(672\) 17.3144 + 21.7116i 0.667917 + 0.837542i
\(673\) 0.148095 + 1.97619i 0.00570864 + 0.0761765i 0.999330 0.0365873i \(-0.0116487\pi\)
−0.993622 + 0.112764i \(0.964030\pi\)
\(674\) −1.19518 + 0.368663i −0.0460365 + 0.0142004i
\(675\) 25.1910 + 3.79693i 0.969602 + 0.146144i
\(676\) 7.30137 + 6.77468i 0.280822 + 0.260565i
\(677\) 6.11443 2.94456i 0.234997 0.113168i −0.312680 0.949859i \(-0.601227\pi\)
0.547677 + 0.836690i \(0.315512\pi\)
\(678\) −45.8853 + 6.91609i −1.76221 + 0.265611i
\(679\) 1.41450 + 0.964388i 0.0542834 + 0.0370098i
\(680\) 0.257701 0.323147i 0.00988240 0.0123921i
\(681\) −6.97904 12.0880i −0.267437 0.463215i
\(682\) 3.59641 6.22916i 0.137713 0.238527i
\(683\) 3.77933 + 9.62958i 0.144612 + 0.368466i 0.984767 0.173881i \(-0.0556310\pi\)
−0.840154 + 0.542347i \(0.817536\pi\)
\(684\) −0.393064 0.189290i −0.0150292 0.00723767i
\(685\) −1.17382 0.362074i −0.0448492 0.0138342i
\(686\) 2.38241 10.4380i 0.0909610 0.398526i
\(687\) 42.4465 1.61944
\(688\) −32.3464 + 4.70570i −1.23320 + 0.179403i
\(689\) −12.3630 −0.470993
\(690\) −1.84699 + 8.09220i −0.0703138 + 0.308065i
\(691\) −10.6685 3.29080i −0.405850 0.125188i 0.0851075 0.996372i \(-0.472877\pi\)
−0.490957 + 0.871184i \(0.663353\pi\)
\(692\) −7.34466 3.53700i −0.279202 0.134457i
\(693\) 0.360834 + 0.919390i 0.0137070 + 0.0349247i
\(694\) −4.44549 + 7.69981i −0.168748 + 0.292281i
\(695\) 3.86875 + 6.70087i 0.146750 + 0.254179i
\(696\) −6.94732 + 8.71167i −0.263338 + 0.330215i
\(697\) 2.25576 + 1.53795i 0.0854428 + 0.0582539i
\(698\) 16.7265 2.52111i 0.633106 0.0954254i
\(699\) 13.3074 6.40851i 0.503332 0.242392i
\(700\) −10.8821 10.0972i −0.411306 0.381637i
\(701\) 45.9912 + 6.93206i 1.73706 + 0.261820i 0.939779 0.341783i \(-0.111031\pi\)
0.797285 + 0.603603i \(0.206269\pi\)
\(702\) 10.8789 3.35570i 0.410598 0.126653i
\(703\) −2.50683 33.4513i −0.0945467 1.26164i
\(704\) 5.66556 + 7.10438i 0.213529 + 0.267757i
\(705\) 1.05438 2.68653i 0.0397104 0.101180i
\(706\) 31.1443 28.8977i 1.17213 1.08758i
\(707\) −6.35350 + 4.33175i −0.238948 + 0.162912i
\(708\) 0.525817 7.01654i 0.0197614 0.263698i
\(709\) −1.61013 7.05446i −0.0604699 0.264936i 0.935652 0.352925i \(-0.114813\pi\)
−0.996121 + 0.0879894i \(0.971956\pi\)
\(710\) 1.11005 + 4.86346i 0.0416596 + 0.182523i
\(711\) 0.0403908 0.538978i 0.00151477 0.0202133i
\(712\) 4.29522 2.92843i 0.160970 0.109748i
\(713\) −5.31525 + 4.93183i −0.199058 + 0.184699i
\(714\) −2.08571 + 5.31430i −0.0780557 + 0.198883i
\(715\) −1.33186 1.67010i −0.0498087 0.0624582i
\(716\) 0.473457 + 6.31784i 0.0176939 + 0.236109i
\(717\) −5.51043 + 1.69974i −0.205791 + 0.0634780i
\(718\) 23.0787 + 3.47855i 0.861289 + 0.129818i
\(719\) 26.6874 + 24.7623i 0.995274 + 0.923479i 0.997068 0.0765194i \(-0.0243807\pi\)
−0.00179446 + 0.999998i \(0.500571\pi\)
\(720\) −0.112922 + 0.0543806i −0.00420837 + 0.00202664i
\(721\) −17.6708 + 2.66345i −0.658095 + 0.0991919i
\(722\) −54.9720 37.4793i −2.04585 1.39483i
\(723\) 28.8563 36.1846i 1.07318 1.34572i
\(724\) 8.23734 + 14.2675i 0.306138 + 0.530247i
\(725\) 8.27918 14.3400i 0.307481 0.532573i
\(726\) 8.27759 + 21.0910i 0.307210 + 0.782759i
\(727\) −38.1354 18.3650i −1.41436 0.681121i −0.438343 0.898808i \(-0.644435\pi\)
−0.976019 + 0.217687i \(0.930149\pi\)
\(728\) 8.12850 + 2.50731i 0.301262 + 0.0929271i
\(729\) −6.13298 + 26.8703i −0.227147 + 0.995197i
\(730\) −1.35709 −0.0502281
\(731\) −2.28593 2.89686i −0.0845483 0.107144i
\(732\) 8.12195 0.300196
\(733\) 4.08534 17.8990i 0.150895 0.661116i −0.841731 0.539898i \(-0.818463\pi\)
0.992626 0.121218i \(-0.0386800\pi\)
\(734\) 44.5391 + 13.7385i 1.64397 + 0.507097i
\(735\) 3.08854 + 1.48736i 0.113923 + 0.0548622i
\(736\) 12.5725 + 32.0342i 0.463428 + 1.18080i
\(737\) −28.4422 + 49.2633i −1.04768 + 1.81464i
\(738\) −0.268396 0.464876i −0.00987981 0.0171123i
\(739\) 19.5007 24.4531i 0.717345 0.899522i −0.280839 0.959755i \(-0.590613\pi\)
0.998184 + 0.0602326i \(0.0191843\pi\)
\(740\) 1.22673 + 0.836372i 0.0450956 + 0.0307456i
\(741\) 16.5246 2.49069i 0.607048 0.0914977i
\(742\) −51.5989 + 24.8487i −1.89425 + 0.912225i
\(743\) −17.5715 16.3039i −0.644635 0.598134i 0.288579 0.957456i \(-0.406817\pi\)
−0.933213 + 0.359323i \(0.883008\pi\)
\(744\) 3.15781 + 0.475963i 0.115771 + 0.0174496i
\(745\) −4.65579 + 1.43612i −0.170575 + 0.0526153i
\(746\) −1.99173 26.5778i −0.0729225 0.973084i
\(747\) 0.473858 + 0.594199i 0.0173375 + 0.0217406i
\(748\) 0.781156 1.99035i 0.0285619 0.0727745i
\(749\) −26.3000 + 24.4028i −0.960980 + 0.891659i
\(750\) −9.11446 + 6.21414i −0.332813 + 0.226908i
\(751\) −3.81330 + 50.8850i −0.139149 + 1.85682i 0.294391 + 0.955685i \(0.404883\pi\)
−0.433540 + 0.901134i \(0.642736\pi\)
\(752\) −4.84848 21.2426i −0.176806 0.774637i
\(753\) −4.10393 17.9805i −0.149555 0.655245i
\(754\) 0.552982 7.37903i 0.0201384 0.268728i
\(755\) 0.320209 0.218315i 0.0116536 0.00794528i
\(756\) 11.7786 10.9289i 0.428383 0.397481i
\(757\) 8.24045 20.9963i 0.299504 0.763125i −0.699327 0.714802i \(-0.746517\pi\)
0.998832 0.0483232i \(-0.0153878\pi\)
\(758\) 27.2106 + 34.1210i 0.988333 + 1.23933i
\(759\) −4.11444 54.9033i −0.149345 1.99286i
\(760\) −5.35566 + 1.65200i −0.194270 + 0.0599244i
\(761\) −35.6862 5.37882i −1.29362 0.194982i −0.534076 0.845436i \(-0.679341\pi\)
−0.759546 + 0.650454i \(0.774579\pi\)
\(762\) 7.17105 + 6.65376i 0.259780 + 0.241040i
\(763\) −3.53572 + 1.70271i −0.128002 + 0.0616423i
\(764\) 6.09401 0.918524i 0.220473 0.0332310i
\(765\) −0.0116909 0.00797071i −0.000422685 0.000288182i
\(766\) 19.0820 23.9280i 0.689460 0.864555i
\(767\) −2.99574 5.18878i −0.108170 0.187356i
\(768\) 15.0615 26.0874i 0.543487 0.941347i
\(769\) −9.37295 23.8819i −0.337997 0.861203i −0.994292 0.106698i \(-0.965972\pi\)
0.656294 0.754505i \(-0.272123\pi\)
\(770\) −8.91550 4.29348i −0.321292 0.154726i
\(771\) −20.8793 6.44043i −0.751951 0.231946i