Properties

Label 171.2.x.a.110.18
Level $171$
Weight $2$
Character 171.110
Analytic conductor $1.365$
Analytic rank $0$
Dimension $108$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 171 = 3^{2} \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 171.x (of order \(18\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.36544187456\)
Analytic rank: \(0\)
Dimension: \(108\)
Relative dimension: \(18\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 110.18
Character \(\chi\) \(=\) 171.110
Dual form 171.2.x.a.14.18

$q$-expansion

\(f(q)\) \(=\) \(q+(1.98591 - 1.66638i) q^{2} +(-0.713953 - 1.57806i) q^{3} +(0.819730 - 4.64892i) q^{4} +(-0.441857 + 1.21399i) q^{5} +(-4.04748 - 1.94417i) q^{6} +(2.16209 + 3.74485i) q^{7} +(-3.52652 - 6.10811i) q^{8} +(-1.98054 + 2.25332i) q^{9} +O(q^{10})\) \(q+(1.98591 - 1.66638i) q^{2} +(-0.713953 - 1.57806i) q^{3} +(0.819730 - 4.64892i) q^{4} +(-0.441857 + 1.21399i) q^{5} +(-4.04748 - 1.94417i) q^{6} +(2.16209 + 3.74485i) q^{7} +(-3.52652 - 6.10811i) q^{8} +(-1.98054 + 2.25332i) q^{9} +(1.14548 + 3.14718i) q^{10} +2.72739i q^{11} +(-7.92152 + 2.02553i) q^{12} +(-1.29564 - 3.55975i) q^{13} +(10.5340 + 3.83408i) q^{14} +(2.23122 - 0.169457i) q^{15} +(-8.30984 - 3.02454i) q^{16} +(0.00982639 - 0.0269978i) q^{17} +(-0.178298 + 7.77521i) q^{18} +(-0.236219 - 4.35249i) q^{19} +(5.28156 + 3.04931i) q^{20} +(4.36597 - 6.08556i) q^{21} +(4.54486 + 5.41635i) q^{22} +(-5.97773 - 1.05404i) q^{23} +(-7.12119 + 9.92596i) q^{24} +(2.55168 + 2.14111i) q^{25} +(-8.50490 - 4.91031i) q^{26} +(4.96989 + 1.51665i) q^{27} +(19.1819 - 6.98163i) q^{28} +(-0.592237 + 3.35874i) q^{29} +(4.14862 - 4.05457i) q^{30} -3.60284i q^{31} +(-8.28723 + 3.01630i) q^{32} +(4.30399 - 1.94723i) q^{33} +(-0.0254741 - 0.0699895i) q^{34} +(-5.50156 + 0.970074i) q^{35} +(8.85200 + 11.0545i) q^{36} +7.25611i q^{37} +(-7.72200 - 8.25003i) q^{38} +(-4.69247 + 4.58609i) q^{39} +(8.97342 - 1.58226i) q^{40} +(-2.90246 + 2.43545i) q^{41} +(-1.47041 - 19.3607i) q^{42} +(-0.543785 - 3.08396i) q^{43} +(12.6794 + 2.23573i) q^{44} +(-1.86040 - 3.40001i) q^{45} +(-13.6276 + 7.86792i) q^{46} +(-7.07838 - 1.24811i) q^{47} +(1.15994 + 15.2728i) q^{48} +(-5.84929 + 10.1313i) q^{49} +8.63530 q^{50} +(-0.0496197 + 0.00376852i) q^{51} +(-17.6111 + 3.10531i) q^{52} +(4.24644 + 3.56319i) q^{53} +(12.3970 - 5.26977i) q^{54} +(-3.31104 - 1.20512i) q^{55} +(15.2493 - 26.4126i) q^{56} +(-6.69984 + 3.48024i) q^{57} +(4.42079 + 7.65704i) q^{58} +(-1.88476 - 10.6890i) q^{59} +(1.04121 - 10.5117i) q^{60} +(9.95358 - 3.62281i) q^{61} +(-6.00369 - 7.15492i) q^{62} +(-12.7205 - 2.54495i) q^{63} +(-2.58823 + 4.48295i) q^{64} +4.89400 q^{65} +(5.30251 - 11.0391i) q^{66} +(6.64377 - 7.91773i) q^{67} +(-0.117456 - 0.0678130i) q^{68} +(2.60449 + 10.1857i) q^{69} +(-9.30910 + 11.0941i) q^{70} +(-4.93124 + 4.13780i) q^{71} +(20.7479 + 4.15099i) q^{72} +(1.86766 + 10.5920i) q^{73} +(12.0914 + 14.4100i) q^{74} +(1.55702 - 5.55536i) q^{75} +(-20.4280 - 2.46971i) q^{76} +(-10.2137 + 5.89688i) q^{77} +(-1.67665 + 16.9270i) q^{78} +(-1.76903 + 4.86037i) q^{79} +(7.34353 - 8.75168i) q^{80} +(-1.15491 - 8.92559i) q^{81} +(-1.70564 + 9.67318i) q^{82} +(-7.70527 + 4.44864i) q^{83} +(-24.7124 - 25.2856i) q^{84} +(0.0284333 + 0.0238583i) q^{85} +(-6.21893 - 5.21830i) q^{86} +(5.72312 - 1.46340i) q^{87} +(16.6592 - 9.61820i) q^{88} +(1.81456 - 10.2909i) q^{89} +(-9.36028 - 3.65199i) q^{90} +(10.5294 - 12.5485i) q^{91} +(-9.80025 + 26.9260i) q^{92} +(-5.68550 + 2.57226i) q^{93} +(-16.1368 + 9.31660i) q^{94} +(5.38827 + 1.63641i) q^{95} +(10.6766 + 10.9242i) q^{96} +(-0.845099 - 1.00715i) q^{97} +(5.26633 + 29.8669i) q^{98} +(-6.14569 - 5.40172i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 108 q - 9 q^{2} - 3 q^{4} - 9 q^{5} + 3 q^{7} - 24 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 108 q - 9 q^{2} - 3 q^{4} - 9 q^{5} + 3 q^{7} - 24 q^{9} - 12 q^{10} - 9 q^{12} - 6 q^{13} - 9 q^{14} - 36 q^{15} - 9 q^{16} + 27 q^{17} + 36 q^{18} - 15 q^{19} - 18 q^{20} + 3 q^{21} + 30 q^{22} - 45 q^{23} - 21 q^{24} - 3 q^{25} - 72 q^{26} - 36 q^{28} - 9 q^{29} - 21 q^{30} - 9 q^{32} - 6 q^{33} + 33 q^{34} + 45 q^{35} + 18 q^{36} - 9 q^{38} - 18 q^{39} + 15 q^{40} - 9 q^{41} + 15 q^{42} + 9 q^{43} - 63 q^{44} + 33 q^{45} - 18 q^{46} - 9 q^{47} + 3 q^{48} - 15 q^{49} + 126 q^{50} + 39 q^{51} - 39 q^{52} - 51 q^{54} + 3 q^{55} + 63 q^{56} - 78 q^{57} - 6 q^{58} + 36 q^{59} - 75 q^{60} - 24 q^{61} + 18 q^{62} - 9 q^{63} - 18 q^{65} + 159 q^{66} - 63 q^{67} + 54 q^{68} - 9 q^{69} + 39 q^{70} + 141 q^{72} - 45 q^{73} - 117 q^{74} - 3 q^{76} - 18 q^{77} + 27 q^{78} + 3 q^{79} + 126 q^{80} - 60 q^{81} - 3 q^{82} + 27 q^{83} - 117 q^{84} - 3 q^{85} - 171 q^{86} + 15 q^{87} - 9 q^{88} + 54 q^{89} - 21 q^{90} - 9 q^{91} - 27 q^{92} + 42 q^{93} + 99 q^{95} + 207 q^{96} - 57 q^{97} - 27 q^{98} + 39 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/171\mathbb{Z}\right)^\times\).

\(n\) \(20\) \(154\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\) \(e\left(\frac{11}{18}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.98591 1.66638i 1.40425 1.17831i 0.445074 0.895494i \(-0.353177\pi\)
0.959176 0.282811i \(-0.0912670\pi\)
\(3\) −0.713953 1.57806i −0.412201 0.911093i
\(4\) 0.819730 4.64892i 0.409865 2.32446i
\(5\) −0.441857 + 1.21399i −0.197605 + 0.542914i −0.998432 0.0559812i \(-0.982171\pi\)
0.800827 + 0.598896i \(0.204394\pi\)
\(6\) −4.04748 1.94417i −1.65238 0.793703i
\(7\) 2.16209 + 3.74485i 0.817194 + 1.41542i 0.907742 + 0.419530i \(0.137805\pi\)
−0.0905476 + 0.995892i \(0.528862\pi\)
\(8\) −3.52652 6.10811i −1.24681 2.15954i
\(9\) −1.98054 + 2.25332i −0.660181 + 0.751107i
\(10\) 1.14548 + 3.14718i 0.362233 + 0.995226i
\(11\) 2.72739i 0.822340i 0.911559 + 0.411170i \(0.134880\pi\)
−0.911559 + 0.411170i \(0.865120\pi\)
\(12\) −7.92152 + 2.02553i −2.28675 + 0.584720i
\(13\) −1.29564 3.55975i −0.359346 0.987296i −0.979257 0.202624i \(-0.935053\pi\)
0.619910 0.784673i \(-0.287169\pi\)
\(14\) 10.5340 + 3.83408i 2.81534 + 1.02470i
\(15\) 2.23122 0.169457i 0.576098 0.0437536i
\(16\) −8.30984 3.02454i −2.07746 0.756134i
\(17\) 0.00982639 0.0269978i 0.00238325 0.00654792i −0.938495 0.345292i \(-0.887780\pi\)
0.940879 + 0.338744i \(0.110002\pi\)
\(18\) −0.178298 + 7.77521i −0.0420252 + 1.83264i
\(19\) −0.236219 4.35249i −0.0541923 0.998531i
\(20\) 5.28156 + 3.04931i 1.18099 + 0.681846i
\(21\) 4.36597 6.08556i 0.952732 1.32798i
\(22\) 4.54486 + 5.41635i 0.968967 + 1.15477i
\(23\) −5.97773 1.05404i −1.24644 0.219782i −0.488768 0.872414i \(-0.662554\pi\)
−0.757675 + 0.652632i \(0.773665\pi\)
\(24\) −7.12119 + 9.92596i −1.45361 + 2.02613i
\(25\) 2.55168 + 2.14111i 0.510336 + 0.428223i
\(26\) −8.50490 4.91031i −1.66795 0.962991i
\(27\) 4.96989 + 1.51665i 0.956455 + 0.291879i
\(28\) 19.1819 6.98163i 3.62503 1.31940i
\(29\) −0.592237 + 3.35874i −0.109976 + 0.623703i 0.879140 + 0.476563i \(0.158118\pi\)
−0.989116 + 0.147139i \(0.952993\pi\)
\(30\) 4.14862 4.05457i 0.757431 0.740261i
\(31\) 3.60284i 0.647090i −0.946213 0.323545i \(-0.895125\pi\)
0.946213 0.323545i \(-0.104875\pi\)
\(32\) −8.28723 + 3.01630i −1.46499 + 0.533212i
\(33\) 4.30399 1.94723i 0.749228 0.338969i
\(34\) −0.0254741 0.0699895i −0.00436877 0.0120031i
\(35\) −5.50156 + 0.970074i −0.929934 + 0.163972i
\(36\) 8.85200 + 11.0545i 1.47533 + 1.84242i
\(37\) 7.25611i 1.19290i 0.802651 + 0.596449i \(0.203422\pi\)
−0.802651 + 0.596449i \(0.796578\pi\)
\(38\) −7.72200 8.25003i −1.25267 1.33833i
\(39\) −4.69247 + 4.58609i −0.751396 + 0.734363i
\(40\) 8.97342 1.58226i 1.41882 0.250177i
\(41\) −2.90246 + 2.43545i −0.453288 + 0.380354i −0.840654 0.541572i \(-0.817829\pi\)
0.387366 + 0.921926i \(0.373385\pi\)
\(42\) −1.47041 19.3607i −0.226889 2.98742i
\(43\) −0.543785 3.08396i −0.0829264 0.470299i −0.997785 0.0665241i \(-0.978809\pi\)
0.914858 0.403775i \(-0.132302\pi\)
\(44\) 12.6794 + 2.23573i 1.91150 + 0.337049i
\(45\) −1.86040 3.40001i −0.277332 0.506844i
\(46\) −13.6276 + 7.86792i −2.00929 + 1.16006i
\(47\) −7.07838 1.24811i −1.03249 0.182055i −0.368367 0.929681i \(-0.620083\pi\)
−0.664121 + 0.747625i \(0.731194\pi\)
\(48\) 1.15994 + 15.2728i 0.167423 + 2.20444i
\(49\) −5.84929 + 10.1313i −0.835612 + 1.44732i
\(50\) 8.63530 1.22122
\(51\) −0.0496197 + 0.00376852i −0.00694814 + 0.000527699i
\(52\) −17.6111 + 3.10531i −2.44222 + 0.430628i
\(53\) 4.24644 + 3.56319i 0.583294 + 0.489441i 0.886027 0.463634i \(-0.153455\pi\)
−0.302733 + 0.953075i \(0.597899\pi\)
\(54\) 12.3970 5.26977i 1.68702 0.717125i
\(55\) −3.31104 1.20512i −0.446460 0.162498i
\(56\) 15.2493 26.4126i 2.03778 3.52953i
\(57\) −6.69984 + 3.48024i −0.887416 + 0.460969i
\(58\) 4.42079 + 7.65704i 0.580479 + 1.00542i
\(59\) −1.88476 10.6890i −0.245375 1.39159i −0.819621 0.572906i \(-0.805816\pi\)
0.574246 0.818682i \(-0.305295\pi\)
\(60\) 1.04121 10.5117i 0.134419 1.35705i
\(61\) 9.95358 3.62281i 1.27443 0.463853i 0.385841 0.922565i \(-0.373911\pi\)
0.888585 + 0.458713i \(0.151689\pi\)
\(62\) −6.00369 7.15492i −0.762469 0.908675i
\(63\) −12.7205 2.54495i −1.60263 0.320634i
\(64\) −2.58823 + 4.48295i −0.323529 + 0.560369i
\(65\) 4.89400 0.607026
\(66\) 5.30251 11.0391i 0.652694 1.35882i
\(67\) 6.64377 7.91773i 0.811665 0.967305i −0.188225 0.982126i \(-0.560273\pi\)
0.999890 + 0.0148211i \(0.00471789\pi\)
\(68\) −0.117456 0.0678130i −0.0142436 0.00822353i
\(69\) 2.60449 + 10.1857i 0.313544 + 1.22622i
\(70\) −9.30910 + 11.0941i −1.11265 + 1.32600i
\(71\) −4.93124 + 4.13780i −0.585231 + 0.491067i −0.886660 0.462422i \(-0.846981\pi\)
0.301430 + 0.953488i \(0.402536\pi\)
\(72\) 20.7479 + 4.15099i 2.44517 + 0.489199i
\(73\) 1.86766 + 10.5920i 0.218594 + 1.23971i 0.874561 + 0.484916i \(0.161150\pi\)
−0.655967 + 0.754789i \(0.727739\pi\)
\(74\) 12.0914 + 14.4100i 1.40560 + 1.67513i
\(75\) 1.55702 5.55536i 0.179790 0.641477i
\(76\) −20.4280 2.46971i −2.34326 0.283295i
\(77\) −10.2137 + 5.89688i −1.16396 + 0.672011i
\(78\) −1.67665 + 16.9270i −0.189844 + 1.91660i
\(79\) −1.76903 + 4.86037i −0.199032 + 0.546835i −0.998551 0.0538048i \(-0.982865\pi\)
0.799520 + 0.600640i \(0.205087\pi\)
\(80\) 7.34353 8.75168i 0.821032 0.978468i
\(81\) −1.15491 8.92559i −0.128323 0.991732i
\(82\) −1.70564 + 9.67318i −0.188357 + 1.06822i
\(83\) −7.70527 + 4.44864i −0.845764 + 0.488302i −0.859219 0.511608i \(-0.829050\pi\)
0.0134556 + 0.999909i \(0.495717\pi\)
\(84\) −24.7124 25.2856i −2.69634 2.75888i
\(85\) 0.0284333 + 0.0238583i 0.00308402 + 0.00258780i
\(86\) −6.21893 5.21830i −0.670605 0.562704i
\(87\) 5.72312 1.46340i 0.613583 0.156893i
\(88\) 16.6592 9.61820i 1.77588 1.02530i
\(89\) 1.81456 10.2909i 0.192343 1.09083i −0.723809 0.690000i \(-0.757610\pi\)
0.916152 0.400831i \(-0.131278\pi\)
\(90\) −9.36028 3.65199i −0.986660 0.384953i
\(91\) 10.5294 12.5485i 1.10378 1.31544i
\(92\) −9.80025 + 26.9260i −1.02175 + 2.80723i
\(93\) −5.68550 + 2.57226i −0.589559 + 0.266731i
\(94\) −16.1368 + 9.31660i −1.66439 + 0.960934i
\(95\) 5.38827 + 1.63641i 0.552825 + 0.167893i
\(96\) 10.6766 + 10.9242i 1.08968 + 1.11495i
\(97\) −0.845099 1.00715i −0.0858068 0.102261i 0.721433 0.692484i \(-0.243484\pi\)
−0.807240 + 0.590224i \(0.799039\pi\)
\(98\) 5.26633 + 29.8669i 0.531980 + 3.01701i
\(99\) −6.14569 5.40172i −0.617665 0.542893i
\(100\) 12.0456 10.1074i 1.20456 1.01074i
\(101\) 4.16514 4.96382i 0.414447 0.493919i −0.517921 0.855428i \(-0.673294\pi\)
0.932368 + 0.361509i \(0.117738\pi\)
\(102\) −0.0922603 + 0.0901689i −0.00913513 + 0.00892805i
\(103\) −2.00847 1.15959i −0.197900 0.114258i 0.397775 0.917483i \(-0.369782\pi\)
−0.595676 + 0.803225i \(0.703116\pi\)
\(104\) −17.1742 + 20.4674i −1.68407 + 2.00700i
\(105\) 5.45869 + 7.98921i 0.532714 + 0.779667i
\(106\) 14.3707 1.39580
\(107\) 1.78213 3.08674i 0.172285 0.298407i −0.766933 0.641727i \(-0.778218\pi\)
0.939218 + 0.343320i \(0.111552\pi\)
\(108\) 11.1247 21.8614i 1.07048 2.10361i
\(109\) −6.67411 7.95389i −0.639264 0.761845i 0.344990 0.938606i \(-0.387882\pi\)
−0.984254 + 0.176762i \(0.943438\pi\)
\(110\) −8.58360 + 3.12417i −0.818414 + 0.297878i
\(111\) 11.4506 5.18052i 1.08684 0.491713i
\(112\) −6.64021 37.6585i −0.627440 3.55839i
\(113\) −3.03502 5.25681i −0.285511 0.494519i 0.687222 0.726447i \(-0.258830\pi\)
−0.972733 + 0.231928i \(0.925497\pi\)
\(114\) −7.50589 + 18.0759i −0.702991 + 1.69296i
\(115\) 3.92090 6.79119i 0.365626 0.633282i
\(116\) 15.1290 + 5.50652i 1.40470 + 0.511268i
\(117\) 10.5873 + 4.13073i 0.978799 + 0.381886i
\(118\) −21.5548 18.0867i −1.98428 1.66501i
\(119\) 0.122348 0.0215733i 0.0112156 0.00197762i
\(120\) −8.90350 13.0309i −0.812774 1.18956i
\(121\) 3.56133 0.323757
\(122\) 13.7299 23.7810i 1.24305 2.15303i
\(123\) 5.91551 + 2.84146i 0.533384 + 0.256205i
\(124\) −16.7493 2.95336i −1.50413 0.265220i
\(125\) −9.32089 + 5.38142i −0.833686 + 0.481329i
\(126\) −29.5025 + 16.1430i −2.62829 + 1.43814i
\(127\) −8.19409 1.44484i −0.727108 0.128209i −0.202171 0.979350i \(-0.564800\pi\)
−0.524936 + 0.851141i \(0.675911\pi\)
\(128\) −0.732553 4.15451i −0.0647491 0.367210i
\(129\) −4.47843 + 3.05992i −0.394304 + 0.269411i
\(130\) 9.71904 8.15524i 0.852416 0.715262i
\(131\) 8.01027 1.41243i 0.699861 0.123404i 0.187614 0.982243i \(-0.439925\pi\)
0.512246 + 0.858838i \(0.328813\pi\)
\(132\) −5.52441 21.6051i −0.480839 1.88048i
\(133\) 15.7887 10.2951i 1.36906 0.892698i
\(134\) 26.7949i 2.31473i
\(135\) −4.03718 + 5.36327i −0.347465 + 0.461597i
\(136\) −0.199558 + 0.0351875i −0.0171120 + 0.00301730i
\(137\) −0.0328638 0.0902926i −0.00280775 0.00771422i 0.938281 0.345874i \(-0.112418\pi\)
−0.941089 + 0.338160i \(0.890195\pi\)
\(138\) 22.1456 + 15.8879i 1.88515 + 1.35247i
\(139\) −5.47885 + 1.99414i −0.464710 + 0.169141i −0.563754 0.825942i \(-0.690644\pi\)
0.0990447 + 0.995083i \(0.468421\pi\)
\(140\) 26.3715i 2.22880i
\(141\) 3.08404 + 12.0612i 0.259723 + 1.01574i
\(142\) −2.89786 + 16.4346i −0.243183 + 1.37916i
\(143\) 9.70883 3.53373i 0.811893 0.295505i
\(144\) 23.2732 12.7345i 1.93944 1.06121i
\(145\) −3.81581 2.20306i −0.316885 0.182954i
\(146\) 21.3593 + 17.9226i 1.76771 + 1.48329i
\(147\) 20.1638 + 1.99727i 1.66309 + 0.164732i
\(148\) 33.7331 + 5.94805i 2.77284 + 0.488927i
\(149\) 9.25428 + 11.0288i 0.758140 + 0.903516i 0.997729 0.0673582i \(-0.0214570\pi\)
−0.239589 + 0.970874i \(0.577013\pi\)
\(150\) −6.16520 13.6270i −0.503387 1.11264i
\(151\) 5.57364 + 3.21795i 0.453577 + 0.261873i 0.709340 0.704867i \(-0.248993\pi\)
−0.255763 + 0.966740i \(0.582327\pi\)
\(152\) −25.7525 + 16.7920i −2.08880 + 1.36201i
\(153\) 0.0413731 + 0.0756122i 0.00334481 + 0.00611289i
\(154\) −10.4570 + 28.7305i −0.842653 + 2.31517i
\(155\) 4.37383 + 1.59194i 0.351314 + 0.127868i
\(156\) 17.4738 + 25.5743i 1.39903 + 2.04758i
\(157\) −9.72532 3.53973i −0.776165 0.282501i −0.0765925 0.997062i \(-0.524404\pi\)
−0.699573 + 0.714561i \(0.746626\pi\)
\(158\) 4.58607 + 12.6001i 0.364848 + 1.00241i
\(159\) 2.59116 9.24508i 0.205492 0.733183i
\(160\) 11.3934i 0.900729i
\(161\) −8.97720 24.6646i −0.707502 1.94385i
\(162\) −17.1669 15.8009i −1.34876 1.24144i
\(163\) −11.0009 19.0541i −0.861656 1.49243i −0.870330 0.492469i \(-0.836094\pi\)
0.00867379 0.999962i \(-0.497239\pi\)
\(164\) 8.94300 + 15.4897i 0.698331 + 1.20954i
\(165\) 0.462176 + 6.08541i 0.0359804 + 0.473749i
\(166\) −7.88886 + 21.6745i −0.612294 + 1.68227i
\(167\) −2.85499 + 16.1915i −0.220926 + 1.25293i 0.649396 + 0.760450i \(0.275022\pi\)
−0.870322 + 0.492483i \(0.836089\pi\)
\(168\) −52.5679 5.20697i −4.05570 0.401727i
\(169\) −1.03454 + 0.868080i −0.0795798 + 0.0667754i
\(170\) 0.0962228 0.00737995
\(171\) 10.2754 + 8.08802i 0.785780 + 0.618506i
\(172\) −14.7828 −1.12718
\(173\) 3.46225 2.90517i 0.263230 0.220876i −0.501614 0.865091i \(-0.667260\pi\)
0.764844 + 0.644215i \(0.222816\pi\)
\(174\) 8.92702 12.4430i 0.676756 0.943305i
\(175\) −2.50119 + 14.1850i −0.189072 + 1.07228i
\(176\) 8.24910 22.6642i 0.621799 1.70838i
\(177\) −15.5222 + 10.6057i −1.16672 + 0.797173i
\(178\) −13.5449 23.4605i −1.01523 1.75844i
\(179\) 10.6821 + 18.5019i 0.798416 + 1.38290i 0.920647 + 0.390396i \(0.127662\pi\)
−0.122231 + 0.992502i \(0.539005\pi\)
\(180\) −17.3314 + 5.86176i −1.29181 + 0.436910i
\(181\) 5.74059 + 15.7721i 0.426694 + 1.17233i 0.947807 + 0.318845i \(0.103295\pi\)
−0.521112 + 0.853488i \(0.674483\pi\)
\(182\) 42.4662i 3.14780i
\(183\) −12.8234 13.1208i −0.947933 0.969919i
\(184\) 14.6424 + 40.2297i 1.07945 + 2.96577i
\(185\) −8.80887 3.20617i −0.647641 0.235722i
\(186\) −7.00453 + 14.5825i −0.513597 + 1.06924i
\(187\) 0.0736335 + 0.0268004i 0.00538462 + 0.00195984i
\(188\) −11.6047 + 31.8837i −0.846361 + 2.32536i
\(189\) 5.06573 + 21.8906i 0.368478 + 1.59231i
\(190\) 13.4275 5.72912i 0.974133 0.415634i
\(191\) 8.37143 + 4.83325i 0.605735 + 0.349721i 0.771295 0.636478i \(-0.219610\pi\)
−0.165559 + 0.986200i \(0.552943\pi\)
\(192\) 8.92224 + 0.883768i 0.643907 + 0.0637805i
\(193\) 0.763130 + 0.909463i 0.0549313 + 0.0654646i 0.792810 0.609468i \(-0.208617\pi\)
−0.737879 + 0.674933i \(0.764173\pi\)
\(194\) −3.35658 0.591855i −0.240988 0.0424927i
\(195\) −3.49409 7.72302i −0.250217 0.553057i
\(196\) 42.3046 + 35.4978i 3.02176 + 2.53556i
\(197\) 16.1719 + 9.33685i 1.15220 + 0.665223i 0.949422 0.314002i \(-0.101670\pi\)
0.202777 + 0.979225i \(0.435003\pi\)
\(198\) −21.2061 0.486288i −1.50705 0.0345590i
\(199\) 4.69515 1.70889i 0.332830 0.121140i −0.170199 0.985410i \(-0.554441\pi\)
0.503029 + 0.864269i \(0.332219\pi\)
\(200\) 4.07961 23.1366i 0.288472 1.63601i
\(201\) −17.2380 4.83137i −1.21587 0.340778i
\(202\) 16.7984i 1.18193i
\(203\) −13.8585 + 5.04407i −0.972673 + 0.354024i
\(204\) −0.0231552 + 0.233767i −0.00162119 + 0.0163670i
\(205\) −1.67415 4.59969i −0.116928 0.321257i
\(206\) −5.92095 + 1.04402i −0.412532 + 0.0727405i
\(207\) 14.2142 11.3822i 0.987957 0.791116i
\(208\) 33.4997i 2.32278i
\(209\) 11.8710 0.644261i 0.821132 0.0445645i
\(210\) 24.1535 + 6.76960i 1.66675 + 0.467147i
\(211\) −6.83543 + 1.20527i −0.470571 + 0.0829743i −0.403905 0.914801i \(-0.632347\pi\)
−0.0666660 + 0.997775i \(0.521236\pi\)
\(212\) 20.0459 16.8205i 1.37676 1.15524i
\(213\) 10.0504 + 4.82759i 0.688640 + 0.330781i
\(214\) −1.60452 9.09969i −0.109683 0.622042i
\(215\) 3.98418 + 0.702518i 0.271719 + 0.0479113i
\(216\) −8.26255 35.7051i −0.562195 2.42942i
\(217\) 13.4921 7.78968i 0.915905 0.528798i
\(218\) −26.5083 4.67414i −1.79537 0.316572i
\(219\) 15.3815 10.5095i 1.03938 0.710167i
\(220\) −8.31666 + 14.4049i −0.560709 + 0.971177i
\(221\) −0.108837 −0.00732115
\(222\) 14.1071 29.3690i 0.946806 1.97112i
\(223\) 5.32426 0.938811i 0.356539 0.0628675i 0.00749013 0.999972i \(-0.497616\pi\)
0.349049 + 0.937104i \(0.386505\pi\)
\(224\) −29.2134 24.5129i −1.95190 1.63784i
\(225\) −9.87833 + 1.50919i −0.658555 + 0.100613i
\(226\) −14.7871 5.38206i −0.983623 0.358010i
\(227\) 11.5628 20.0273i 0.767447 1.32926i −0.171497 0.985185i \(-0.554860\pi\)
0.938943 0.344072i \(-0.111806\pi\)
\(228\) 10.6873 + 33.9999i 0.707785 + 2.25170i
\(229\) 5.74151 + 9.94459i 0.379410 + 0.657157i 0.990976 0.134036i \(-0.0427937\pi\)
−0.611567 + 0.791193i \(0.709460\pi\)
\(230\) −3.53013 20.0204i −0.232770 1.32010i
\(231\) 16.5977 + 11.9077i 1.09205 + 0.783470i
\(232\) 22.6041 8.22722i 1.48403 0.540143i
\(233\) −8.67372 10.3369i −0.568234 0.677195i 0.403033 0.915185i \(-0.367956\pi\)
−0.971268 + 0.237990i \(0.923511\pi\)
\(234\) 27.9088 9.43920i 1.82446 0.617060i
\(235\) 4.64283 8.04162i 0.302865 0.524577i
\(236\) −51.2373 −3.33526
\(237\) 8.93296 0.678443i 0.580258 0.0440696i
\(238\) 0.207023 0.246721i 0.0134193 0.0159925i
\(239\) 13.2077 + 7.62544i 0.854332 + 0.493249i 0.862110 0.506721i \(-0.169143\pi\)
−0.00777814 + 0.999970i \(0.502476\pi\)
\(240\) −19.0536 5.34024i −1.22991 0.344711i
\(241\) −0.327837 + 0.390701i −0.0211178 + 0.0251672i −0.776500 0.630117i \(-0.783007\pi\)
0.755382 + 0.655284i \(0.227451\pi\)
\(242\) 7.07247 5.93450i 0.454635 0.381484i
\(243\) −13.2606 + 8.19497i −0.850666 + 0.525707i
\(244\) −8.68289 49.2431i −0.555865 3.15247i
\(245\) −9.71473 11.5776i −0.620652 0.739664i
\(246\) 16.4826 4.21459i 1.05089 0.268713i
\(247\) −15.1877 + 6.48015i −0.966372 + 0.412322i
\(248\) −22.0066 + 12.7055i −1.39742 + 0.806800i
\(249\) 12.5214 + 8.98326i 0.793513 + 0.569291i
\(250\) −9.54297 + 26.2191i −0.603551 + 1.65824i
\(251\) 3.04408 3.62779i 0.192140 0.228984i −0.661370 0.750060i \(-0.730025\pi\)
0.853510 + 0.521076i \(0.174469\pi\)
\(252\) −22.2586 + 57.0503i −1.40216 + 3.59383i
\(253\) 2.87477 16.3036i 0.180735 1.02500i
\(254\) −18.6804 + 10.7851i −1.17211 + 0.676718i
\(255\) 0.0173499 0.0619031i 0.00108649 0.00387652i
\(256\) −16.3086 13.6845i −1.01929 0.855282i
\(257\) −1.44430 1.21192i −0.0900933 0.0755972i 0.596629 0.802517i \(-0.296507\pi\)
−0.686722 + 0.726920i \(0.740951\pi\)
\(258\) −3.79477 + 13.5395i −0.236252 + 0.842930i
\(259\) −27.1731 + 15.6884i −1.68845 + 0.974829i
\(260\) 4.01176 22.7518i 0.248799 1.41101i
\(261\) −6.39537 7.98663i −0.395863 0.494360i
\(262\) 13.5540 16.1531i 0.837371 0.997940i
\(263\) 5.21517 14.3285i 0.321581 0.883536i −0.668585 0.743636i \(-0.733100\pi\)
0.990166 0.139900i \(-0.0446782\pi\)
\(264\) −27.0720 19.4223i −1.66617 1.19536i
\(265\) −6.20201 + 3.58073i −0.380986 + 0.219963i
\(266\) 14.1995 46.7551i 0.870625 2.86674i
\(267\) −17.5351 + 4.48372i −1.07313 + 0.274399i
\(268\) −31.3628 37.3767i −1.91579 2.28315i
\(269\) −2.46754 13.9941i −0.150448 0.853235i −0.962830 0.270109i \(-0.912940\pi\)
0.812382 0.583126i \(-0.198171\pi\)
\(270\) 0.919744 + 17.3784i 0.0559738 + 1.05762i
\(271\) −8.29441 + 6.95984i −0.503850 + 0.422780i −0.858959 0.512045i \(-0.828888\pi\)
0.355109 + 0.934825i \(0.384444\pi\)
\(272\) −0.163311 + 0.194627i −0.00990221 + 0.0118010i
\(273\) −27.3198 7.65704i −1.65347 0.463425i
\(274\) −0.215726 0.124549i −0.0130325 0.00752430i
\(275\) −5.83966 + 6.95944i −0.352145 + 0.419670i
\(276\) 49.4877 3.75850i 2.97881 0.226235i
\(277\) −15.1179 −0.908344 −0.454172 0.890914i \(-0.650065\pi\)
−0.454172 + 0.890914i \(0.650065\pi\)
\(278\) −7.55751 + 13.0900i −0.453269 + 0.785085i
\(279\) 8.11836 + 7.13558i 0.486034 + 0.427196i
\(280\) 25.3267 + 30.1832i 1.51356 + 1.80379i
\(281\) 6.05200 2.20275i 0.361032 0.131405i −0.155134 0.987893i \(-0.549581\pi\)
0.516166 + 0.856488i \(0.327359\pi\)
\(282\) 26.2231 + 18.8133i 1.56156 + 1.12031i
\(283\) −0.774098 4.39013i −0.0460154 0.260966i 0.953118 0.302600i \(-0.0978547\pi\)
−0.999133 + 0.0416341i \(0.986744\pi\)
\(284\) 15.1940 + 26.3168i 0.901600 + 1.56162i
\(285\) −1.26462 9.67134i −0.0749094 0.572881i
\(286\) 13.3923 23.1962i 0.791906 1.37162i
\(287\) −15.3958 5.60362i −0.908786 0.330771i
\(288\) 9.61650 24.6477i 0.566658 1.45238i
\(289\) 13.0221 + 10.9269i 0.766007 + 0.642756i
\(290\) −11.2490 + 1.98349i −0.660562 + 0.116475i
\(291\) −0.985981 + 2.05267i −0.0577992 + 0.120330i
\(292\) 50.7726 2.97124
\(293\) −3.36788 + 5.83333i −0.196753 + 0.340787i −0.947474 0.319833i \(-0.896373\pi\)
0.750721 + 0.660620i \(0.229707\pi\)
\(294\) 43.3718 29.6341i 2.52949 1.72830i
\(295\) 13.8092 + 2.43493i 0.804001 + 0.141767i
\(296\) 44.3211 25.5888i 2.57611 1.48732i
\(297\) −4.13649 + 13.5548i −0.240024 + 0.786531i
\(298\) 36.7563 + 6.48113i 2.12924 + 0.375442i
\(299\) 3.99290 + 22.6449i 0.230915 + 1.30959i
\(300\) −24.5501 11.7924i −1.41740 0.680833i
\(301\) 10.3732 8.70419i 0.597904 0.501701i
\(302\) 16.4311 2.89724i 0.945501 0.166717i
\(303\) −10.8069 3.02890i −0.620841 0.174006i
\(304\) −11.2013 + 36.8830i −0.642441 + 2.11538i
\(305\) 13.6843i 0.783563i
\(306\) 0.208161 + 0.0812159i 0.0118998 + 0.00464280i
\(307\) −16.3073 + 2.87542i −0.930708 + 0.164109i −0.618392 0.785870i \(-0.712216\pi\)
−0.312316 + 0.949978i \(0.601105\pi\)
\(308\) 19.0416 + 52.3165i 1.08500 + 2.98101i
\(309\) −0.395949 + 3.99737i −0.0225248 + 0.227403i
\(310\) 11.3388 4.12698i 0.644000 0.234397i
\(311\) 6.20320i 0.351751i −0.984412 0.175876i \(-0.943724\pi\)
0.984412 0.175876i \(-0.0562757\pi\)
\(312\) 44.5604 + 12.4891i 2.52274 + 0.707059i
\(313\) −1.92547 + 10.9199i −0.108834 + 0.617228i 0.880785 + 0.473516i \(0.157015\pi\)
−0.989619 + 0.143713i \(0.954096\pi\)
\(314\) −25.2121 + 9.17646i −1.42280 + 0.517858i
\(315\) 8.71019 14.3181i 0.490764 0.806731i
\(316\) 21.1454 + 12.2083i 1.18952 + 0.686770i
\(317\) −18.9113 15.8685i −1.06216 0.891261i −0.0678443 0.997696i \(-0.521612\pi\)
−0.994320 + 0.106434i \(0.966057\pi\)
\(318\) −10.2600 22.6777i −0.575351 1.27170i
\(319\) −9.16061 1.61526i −0.512896 0.0904373i
\(320\) −4.29864 5.12292i −0.240301 0.286380i
\(321\) −6.14342 0.608520i −0.342892 0.0339643i
\(322\) −58.9285 34.0224i −3.28395 1.89599i
\(323\) −0.119829 0.0363919i −0.00666745 0.00202490i
\(324\) −42.4411 1.94750i −2.35784 0.108195i
\(325\) 4.31576 11.8575i 0.239395 0.657733i
\(326\) −53.5980 19.5081i −2.96852 1.08045i
\(327\) −7.78671 + 16.2108i −0.430606 + 0.896462i
\(328\) 25.1116 + 9.13988i 1.38656 + 0.504665i
\(329\) −10.6301 29.2060i −0.586057 1.61018i
\(330\) 11.0584 + 11.3149i 0.608746 + 0.622865i
\(331\) 10.2249i 0.562014i −0.959706 0.281007i \(-0.909332\pi\)
0.959706 0.281007i \(-0.0906684\pi\)
\(332\) 14.3651 + 39.4679i 0.788389 + 2.16608i
\(333\) −16.3503 14.3710i −0.895993 0.787528i
\(334\) 21.3113 + 36.9123i 1.16610 + 2.01975i
\(335\) 6.67648 + 11.5640i 0.364775 + 0.631809i
\(336\) −54.6865 + 37.3650i −2.98339 + 2.03843i
\(337\) −7.45961 + 20.4951i −0.406351 + 1.11644i 0.552743 + 0.833352i \(0.313581\pi\)
−0.959094 + 0.283088i \(0.908641\pi\)
\(338\) −0.607950 + 3.44785i −0.0330681 + 0.187539i
\(339\) −6.12870 + 8.54256i −0.332865 + 0.463968i
\(340\) 0.134223 0.112627i 0.00727927 0.00610803i
\(341\) 9.82637 0.532128
\(342\) 33.8837 1.06061i 1.83222 0.0573512i
\(343\) −20.3175 −1.09704
\(344\) −16.9195 + 14.1971i −0.912237 + 0.765457i
\(345\) −13.5162 1.33881i −0.727690 0.0720794i
\(346\) 2.03460 11.5388i 0.109381 0.620330i
\(347\) 12.2819 33.7441i 0.659324 1.81148i 0.0793455 0.996847i \(-0.474717\pi\)
0.579979 0.814632i \(-0.303061\pi\)
\(348\) −2.11181 27.8059i −0.113205 1.49055i
\(349\) 16.7275 + 28.9729i 0.895402 + 1.55088i 0.833306 + 0.552812i \(0.186445\pi\)
0.0620963 + 0.998070i \(0.480221\pi\)
\(350\) 18.6703 + 32.3379i 0.997971 + 1.72854i
\(351\) −1.04031 19.6566i −0.0555279 1.04919i
\(352\) −8.22665 22.6025i −0.438482 1.20472i
\(353\) 28.0115i 1.49090i 0.666561 + 0.745450i \(0.267765\pi\)
−0.666561 + 0.745450i \(0.732235\pi\)
\(354\) −13.1527 + 46.9278i −0.699056 + 2.49419i
\(355\) −2.84436 7.81481i −0.150963 0.414767i
\(356\) −46.3540 16.8715i −2.45676 0.894187i
\(357\) −0.121395 0.177670i −0.00642490 0.00940332i
\(358\) 52.0447 + 18.9427i 2.75065 + 1.00115i
\(359\) 5.25974 14.4510i 0.277599 0.762696i −0.720035 0.693938i \(-0.755874\pi\)
0.997633 0.0687578i \(-0.0219036\pi\)
\(360\) −14.2069 + 23.3537i −0.748770 + 1.23085i
\(361\) −18.8884 + 2.05628i −0.994126 + 0.108225i
\(362\) 37.6826 + 21.7560i 1.98055 + 1.14347i
\(363\) −2.54262 5.61998i −0.133453 0.294973i
\(364\) −49.7057 59.2369i −2.60528 3.10486i
\(365\) −13.6839 2.41284i −0.716249 0.126294i
\(366\) −47.3303 4.68817i −2.47399 0.245055i
\(367\) −25.1222 21.0800i −1.31137 1.10037i −0.988059 0.154076i \(-0.950760\pi\)
−0.323310 0.946293i \(-0.604796\pi\)
\(368\) 46.4860 + 26.8387i 2.42325 + 1.39907i
\(369\) 0.260587 11.3637i 0.0135656 0.591570i
\(370\) −22.8363 + 8.31173i −1.18720 + 0.432106i
\(371\) −4.16242 + 23.6062i −0.216102 + 1.22558i
\(372\) 7.29766 + 28.5400i 0.378366 + 1.47973i
\(373\) 5.99458i 0.310387i −0.987884 0.155194i \(-0.950400\pi\)
0.987884 0.155194i \(-0.0496002\pi\)
\(374\) 0.190889 0.0694779i 0.00987064 0.00359262i
\(375\) 15.1469 + 10.8668i 0.782181 + 0.561161i
\(376\) 17.3384 + 47.6370i 0.894162 + 2.45669i
\(377\) 12.7236 2.24351i 0.655299 0.115547i
\(378\) 46.5381 + 35.0314i 2.39366 + 1.80182i
\(379\) 0.959510i 0.0492867i −0.999696 0.0246434i \(-0.992155\pi\)
0.999696 0.0246434i \(-0.00784502\pi\)
\(380\) 12.0245 23.7082i 0.616843 1.21621i
\(381\) 3.57015 + 13.9623i 0.182905 + 0.715311i
\(382\) 24.6789 4.35155i 1.26268 0.222645i
\(383\) 1.73527 1.45607i 0.0886683 0.0744016i −0.597376 0.801961i \(-0.703790\pi\)
0.686044 + 0.727560i \(0.259346\pi\)
\(384\) −6.03306 + 4.12214i −0.307873 + 0.210357i
\(385\) −2.64577 15.0049i −0.134841 0.764722i
\(386\) 3.03101 + 0.534449i 0.154274 + 0.0272027i
\(387\) 8.02613 + 4.88258i 0.407991 + 0.248196i
\(388\) −5.37491 + 3.10321i −0.272870 + 0.157542i
\(389\) 28.3453 + 4.99805i 1.43717 + 0.253411i 0.837324 0.546707i \(-0.184119\pi\)
0.599842 + 0.800119i \(0.295230\pi\)
\(390\) −19.8084 9.51476i −1.00304 0.481798i
\(391\) −0.0871961 + 0.151028i −0.00440970 + 0.00763782i
\(392\) 82.5105 4.16741
\(393\) −7.94785 11.6323i −0.400916 0.586771i
\(394\) 47.6746 8.40632i 2.40181 0.423504i
\(395\) −5.11880 4.29519i −0.257555 0.216114i
\(396\) −30.1500 + 24.1429i −1.51509 + 1.21323i
\(397\) 11.1168 + 4.04618i 0.557935 + 0.203072i 0.605569 0.795793i \(-0.292946\pi\)
−0.0476333 + 0.998865i \(0.515168\pi\)
\(398\) 6.47648 11.2176i 0.324636 0.562287i
\(399\) −27.5187 17.5653i −1.37766 0.879366i
\(400\) −14.7282 25.5100i −0.736409 1.27550i
\(401\) 2.72421 + 15.4498i 0.136041 + 0.771525i 0.974129 + 0.225991i \(0.0725619\pi\)
−0.838089 + 0.545534i \(0.816327\pi\)
\(402\) −42.2839 + 19.1303i −2.10893 + 0.954133i
\(403\) −12.8252 + 4.66800i −0.638869 + 0.232529i
\(404\) −19.6621 23.4324i −0.978227 1.16581i
\(405\) 11.3459 + 2.54179i 0.563783 + 0.126303i
\(406\) −19.1163 + 33.1105i −0.948728 + 1.64324i
\(407\) −19.7903 −0.980967
\(408\) 0.198003 + 0.289793i 0.00980262 + 0.0143469i
\(409\) 20.0169 23.8552i 0.989772 1.17956i 0.00602859 0.999982i \(-0.498081\pi\)
0.983743 0.179582i \(-0.0574745\pi\)
\(410\) −10.9895 6.34481i −0.542734 0.313348i
\(411\) −0.119024 + 0.116326i −0.00587101 + 0.00573792i
\(412\) −7.03724 + 8.38666i −0.346700 + 0.413181i
\(413\) 35.9537 30.1687i 1.76917 1.48451i
\(414\) 9.26117 46.2902i 0.455161 2.27504i
\(415\) −1.99599 11.3198i −0.0979792 0.555668i
\(416\) 21.4746 + 25.5924i 1.05288 + 1.25477i
\(417\) 7.05851 + 7.22222i 0.345657 + 0.353674i
\(418\) 22.5011 21.0609i 1.10056 1.03012i
\(419\) −7.19773 + 4.15561i −0.351632 + 0.203015i −0.665404 0.746483i \(-0.731741\pi\)
0.313772 + 0.949498i \(0.398407\pi\)
\(420\) 41.6159 18.8280i 2.03065 0.918714i
\(421\) −4.03670 + 11.0908i −0.196737 + 0.540530i −0.998357 0.0573039i \(-0.981750\pi\)
0.801620 + 0.597834i \(0.203972\pi\)
\(422\) −11.5661 + 13.7840i −0.563030 + 0.670993i
\(423\) 16.8314 13.4779i 0.818371 0.655319i
\(424\) 6.78918 38.5034i 0.329712 1.86989i
\(425\) 0.0828791 0.0478503i 0.00402023 0.00232108i
\(426\) 28.0037 7.16053i 1.35678 0.346929i
\(427\) 35.0874 + 29.4419i 1.69800 + 1.42479i
\(428\) −12.8892 10.8153i −0.623021 0.522776i
\(429\) −12.5081 12.7982i −0.603896 0.617903i
\(430\) 9.08287 5.24400i 0.438015 0.252888i
\(431\) −5.09657 + 28.9041i −0.245493 + 1.39226i 0.573851 + 0.818959i \(0.305449\pi\)
−0.819345 + 0.573301i \(0.805662\pi\)
\(432\) −36.7118 27.6347i −1.76630 1.32958i
\(433\) −16.7776 + 19.9947i −0.806279 + 0.960886i −0.999796 0.0202110i \(-0.993566\pi\)
0.193517 + 0.981097i \(0.438011\pi\)
\(434\) 13.8136 37.9525i 0.663074 1.82178i
\(435\) −0.752247 + 7.59445i −0.0360675 + 0.364126i
\(436\) −42.4480 + 24.5074i −2.03289 + 1.17369i
\(437\) −3.17563 + 26.2670i −0.151911 + 1.25652i
\(438\) 13.0334 46.5022i 0.622759 2.22196i
\(439\) −9.16250 10.9194i −0.437302 0.521156i 0.501712 0.865035i \(-0.332704\pi\)
−0.939014 + 0.343878i \(0.888259\pi\)
\(440\) 4.31544 + 24.4741i 0.205730 + 1.16675i
\(441\) −11.2442 33.2457i −0.535439 1.58313i
\(442\) −0.216140 + 0.181363i −0.0102807 + 0.00862655i
\(443\) −11.0540 + 13.1736i −0.525189 + 0.625896i −0.961800 0.273755i \(-0.911734\pi\)
0.436610 + 0.899651i \(0.356179\pi\)
\(444\) −14.6975 57.4794i −0.697511 2.72785i
\(445\) 11.6913 + 6.74997i 0.554220 + 0.319979i
\(446\) 9.00909 10.7366i 0.426593 0.508393i
\(447\) 10.7970 22.4779i 0.510681 1.06317i
\(448\) −22.3840 −1.05754
\(449\) −10.0934 + 17.4823i −0.476338 + 0.825041i −0.999632 0.0271107i \(-0.991369\pi\)
0.523295 + 0.852152i \(0.324703\pi\)
\(450\) −17.1026 + 19.4581i −0.806223 + 0.917264i
\(451\) −6.64244 7.91616i −0.312780 0.372757i
\(452\) −26.9264 + 9.80041i −1.26651 + 0.460973i
\(453\) 1.09879 11.0930i 0.0516255 0.521195i
\(454\) −10.4104 59.0402i −0.488583 2.77089i
\(455\) 10.5813 + 18.3273i 0.496058 + 0.859198i
\(456\) 44.8848 + 28.6502i 2.10192 + 1.34167i
\(457\) 3.50379 6.06875i 0.163900 0.283884i −0.772364 0.635180i \(-0.780926\pi\)
0.936264 + 0.351296i \(0.114259\pi\)
\(458\) 27.9735 + 10.1815i 1.30712 + 0.475752i
\(459\) 0.0897821 0.119273i 0.00419067 0.00556717i
\(460\) −28.3576 23.7949i −1.32218 1.10944i
\(461\) 6.87248 1.21180i 0.320083 0.0564393i −0.0112983 0.999936i \(-0.503596\pi\)
0.331381 + 0.943497i \(0.392485\pi\)
\(462\) 52.8043 4.01039i 2.45668 0.186580i
\(463\) −9.79792 −0.455348 −0.227674 0.973737i \(-0.573112\pi\)
−0.227674 + 0.973737i \(0.573112\pi\)
\(464\) 15.0800 26.1194i 0.700073 1.21256i
\(465\) −0.610527 8.03873i −0.0283125 0.372787i
\(466\) −34.4504 6.07454i −1.59589 0.281398i
\(467\) −24.7592 + 14.2947i −1.14572 + 0.661481i −0.947840 0.318746i \(-0.896738\pi\)
−0.197878 + 0.980227i \(0.563405\pi\)
\(468\) 27.8822 45.8336i 1.28886 2.11866i
\(469\) 44.0152 + 7.76106i 2.03243 + 0.358373i
\(470\) −4.18012 23.7066i −0.192814 1.09350i
\(471\) 1.35752 + 17.8743i 0.0625514 + 0.823606i
\(472\) −58.6429 + 49.2072i −2.69926 + 2.26495i
\(473\) 8.41116 1.48311i 0.386745 0.0681937i
\(474\) 16.6095 16.2330i 0.762900 0.745606i
\(475\) 8.71643 11.6119i 0.399937 0.532792i
\(476\) 0.586472i 0.0268809i
\(477\) −16.4393 + 2.51155i −0.752702 + 0.114996i
\(478\) 38.9360 6.86547i 1.78089 0.314019i
\(479\) 11.1440 + 30.6180i 0.509184 + 1.39897i 0.882080 + 0.471099i \(0.156143\pi\)
−0.372896 + 0.927873i \(0.621635\pi\)
\(480\) −17.9795 + 8.13437i −0.820648 + 0.371281i
\(481\) 25.8299 9.40132i 1.17774 0.428663i
\(482\) 1.32219i 0.0602243i
\(483\) −32.5130 + 31.7760i −1.47939 + 1.44586i
\(484\) 2.91933 16.5563i 0.132697 0.752560i
\(485\) 1.59609 0.580928i 0.0724746 0.0263786i
\(486\) −12.6784 + 38.3715i −0.575103 + 1.74057i
\(487\) 26.3295 + 15.2014i 1.19311 + 0.688840i 0.959010 0.283374i \(-0.0914536\pi\)
0.234096 + 0.972213i \(0.424787\pi\)
\(488\) −57.2300 48.0217i −2.59068 2.17384i
\(489\) −22.2144 + 30.9638i −1.00457 + 1.40023i
\(490\) −38.5851 6.80360i −1.74310 0.307355i
\(491\) 7.94706 + 9.47093i 0.358646 + 0.427417i 0.914954 0.403559i \(-0.132227\pi\)
−0.556308 + 0.830976i \(0.687783\pi\)
\(492\) 18.0588 25.1715i 0.814155 1.13482i
\(493\) 0.0848590 + 0.0489933i 0.00382186 + 0.00220655i
\(494\) −19.3631 + 38.1774i −0.871186 + 1.71768i
\(495\) 9.27317 5.07404i 0.416798 0.228061i
\(496\) −10.8969 + 29.9391i −0.489287 + 1.34430i
\(497\) −26.1573 9.52046i −1.17331 0.427051i
\(498\) 39.8359 3.02546i 1.78509 0.135574i
\(499\) 22.0469 + 8.02441i 0.986955 + 0.359222i 0.784540 0.620078i \(-0.212899\pi\)
0.202414 + 0.979300i \(0.435121\pi\)
\(500\) 17.3772 + 47.7434i 0.777131 + 2.13515i
\(501\) 27.5894 7.05460i 1.23260 0.315176i
\(502\) 12.2770i 0.547951i
\(503\) −9.63892 26.4827i −0.429778 1.18081i −0.945948 0.324319i \(-0.894865\pi\)
0.516170 0.856486i \(-0.327357\pi\)
\(504\) 29.3141 + 86.6728i 1.30575 + 3.86072i
\(505\) 4.18565 + 7.24976i 0.186259 + 0.322610i
\(506\) −21.4589 37.1679i −0.953966 1.65232i
\(507\) 2.10849 + 1.01279i 0.0936415 + 0.0449797i
\(508\) −13.4339 + 36.9093i −0.596032 + 1.63759i
\(509\) 4.59624 26.0666i 0.203725 1.15538i −0.695709 0.718323i \(-0.744910\pi\)
0.899434 0.437057i \(-0.143979\pi\)
\(510\) −0.0686986 0.151845i −0.00304202 0.00672382i
\(511\) −35.6276 + 29.8951i −1.57607 + 1.32248i
\(512\) −46.7536 −2.06624
\(513\) 5.42722 21.9897i 0.239618 0.970867i
\(514\) −4.88776 −0.215590
\(515\) 2.29519 1.92589i 0.101138 0.0848650i
\(516\) 10.5542 + 23.3282i 0.464625 + 1.02697i
\(517\) 3.40408 19.3055i 0.149711 0.849056i
\(518\) −27.8205 + 76.4362i −1.22236 + 3.35841i
\(519\) −7.05641 3.38948i −0.309742 0.148781i
\(520\) −17.2588 29.8931i −0.756848 1.31090i
\(521\) −9.63458 16.6876i −0.422099 0.731096i 0.574046 0.818823i \(-0.305373\pi\)
−0.996145 + 0.0877268i \(0.972040\pi\)
\(522\) −26.0093 5.20362i −1.13840 0.227756i
\(523\) 11.7842 + 32.3767i 0.515286 + 1.41574i 0.875660 + 0.482928i \(0.160427\pi\)
−0.360374 + 0.932808i \(0.617351\pi\)
\(524\) 38.3969i 1.67738i
\(525\) 24.1704 6.18037i 1.05488 0.269733i
\(526\) −13.5199 37.1456i −0.589495 1.61963i
\(527\) −0.0972687 0.0354029i −0.00423709 0.00154218i
\(528\) −41.6549 + 3.16362i −1.81280 + 0.137679i
\(529\) 13.0093 + 4.73501i 0.565624 + 0.205870i
\(530\) −6.34978 + 17.4459i −0.275817 + 0.757800i
\(531\) 27.8186 + 16.9230i 1.20722 + 0.734397i
\(532\) −34.9186 81.8397i −1.51391 3.54820i
\(533\) 12.4302 + 7.17655i 0.538410 + 0.310851i
\(534\) −27.3516 + 38.1244i −1.18362 + 1.64980i
\(535\) 2.95984 + 3.52740i 0.127965 + 0.152503i
\(536\) −71.7917 12.6588i −3.10093 0.546778i
\(537\) 21.5706 30.0664i 0.930840 1.29746i
\(538\) −28.2197 23.6791i −1.21664 1.02088i
\(539\) −27.6319 15.9533i −1.19019 0.687157i
\(540\) 21.6240 + 23.1650i 0.930549 + 0.996862i
\(541\) −27.6162 + 10.0515i −1.18731 + 0.432147i −0.858780 0.512345i \(-0.828777\pi\)
−0.328535 + 0.944492i \(0.606555\pi\)
\(542\) −4.87424 + 27.6432i −0.209367 + 1.18738i
\(543\) 20.7908 20.3195i 0.892221 0.871995i
\(544\) 0.253376i 0.0108634i
\(545\) 12.6050 4.58784i 0.539938 0.196521i
\(546\) −67.0141 + 30.3188i −2.86794 + 1.29753i
\(547\) 9.08791 + 24.9688i 0.388571 + 1.06759i 0.967645 + 0.252315i \(0.0811920\pi\)
−0.579074 + 0.815275i \(0.696586\pi\)
\(548\) −0.446703 + 0.0787657i −0.0190822 + 0.00336471i
\(549\) −11.5501 + 29.6037i −0.492948 + 1.26346i
\(550\) 23.5519i 1.00425i
\(551\) 14.7588 + 1.78431i 0.628746 + 0.0760141i
\(552\) 53.0309 51.8287i 2.25714 2.20598i
\(553\) −22.0262 + 3.88381i −0.936649 + 0.165157i
\(554\) −30.0227 + 25.1920i −1.27554 + 1.07031i
\(555\) 1.22960 + 16.1900i 0.0521936 + 0.687226i
\(556\) 4.77941 + 27.1054i 0.202692 + 1.14952i
\(557\) 9.24274 + 1.62974i 0.391627 + 0.0690545i 0.365995 0.930617i \(-0.380729\pi\)
0.0256328 + 0.999671i \(0.491840\pi\)
\(558\) 28.0129 + 0.642379i 1.18588 + 0.0271941i
\(559\) −10.2736 + 5.93144i −0.434525 + 0.250873i
\(560\) 48.6512 + 8.57851i 2.05589 + 0.362508i
\(561\) −0.0102782 0.135332i −0.000433948 0.00571374i
\(562\) 8.34812 14.4594i 0.352144 0.609932i
\(563\) 18.2122 0.767553 0.383776 0.923426i \(-0.374623\pi\)
0.383776 + 0.923426i \(0.374623\pi\)
\(564\) 58.5996 4.45054i 2.46749 0.187401i
\(565\) 7.72278 1.36174i 0.324900 0.0572886i
\(566\) −8.85289 7.42846i −0.372115 0.312241i
\(567\) 30.9280 23.6229i 1.29885 0.992069i
\(568\) 42.6643 + 15.5285i 1.79015 + 0.651562i
\(569\) −8.06565 + 13.9701i −0.338129 + 0.585657i −0.984081 0.177721i \(-0.943128\pi\)
0.645951 + 0.763378i \(0.276461\pi\)
\(570\) −18.6275 17.0991i −0.780220 0.716201i
\(571\) −9.53329 16.5121i −0.398956 0.691012i 0.594642 0.803991i \(-0.297294\pi\)
−0.993597 + 0.112979i \(0.963961\pi\)
\(572\) −8.46939 48.0323i −0.354123 2.00833i
\(573\) 1.65034 16.6613i 0.0689440 0.696037i
\(574\) −39.9124 + 14.5269i −1.66591 + 0.606342i
\(575\) −12.9964 15.4886i −0.541989 0.645918i
\(576\) −4.97542 14.7108i −0.207309 0.612950i
\(577\) −17.3897 + 30.1198i −0.723942 + 1.25390i 0.235466 + 0.971883i \(0.424338\pi\)
−0.959408 + 0.282022i \(0.908995\pi\)
\(578\) 44.0690 1.83303
\(579\) 0.890347 1.85358i 0.0370016 0.0770321i
\(580\) −13.3698 + 15.9335i −0.555149 + 0.661601i
\(581\) −33.3190 19.2367i −1.38231 0.798075i
\(582\) 1.46246 + 5.71944i 0.0606208 + 0.237078i
\(583\) −9.71821 + 11.5817i −0.402487 + 0.479666i
\(584\) 58.1110 48.7609i 2.40465 2.01774i
\(585\) −9.69277 + 11.0278i −0.400747 + 0.455941i
\(586\) 3.03223 + 17.1966i 0.125260 + 0.710385i
\(587\) −11.8840 14.1628i −0.490504 0.584560i 0.462841 0.886441i \(-0.346830\pi\)
−0.953346 + 0.301881i \(0.902385\pi\)
\(588\) 25.8141 92.1029i 1.06456 3.79826i
\(589\) −15.6814 + 0.851058i −0.646139 + 0.0350672i
\(590\) 31.4812 18.1757i 1.29606 0.748282i
\(591\) 3.18812 32.1863i 0.131142 1.32397i
\(592\) 21.9464 60.2972i 0.901990 2.47820i
\(593\) 11.0050 13.1152i 0.451920 0.538578i −0.491192 0.871051i \(-0.663439\pi\)
0.943113 + 0.332473i \(0.107883\pi\)
\(594\) 14.3727 + 33.8116i 0.589721 + 1.38731i
\(595\) −0.0278706 + 0.158062i −0.00114259 + 0.00647992i
\(596\) 58.8581 33.9818i 2.41092 1.39195i
\(597\) −6.04885 6.18915i −0.247563 0.253305i
\(598\) 45.6644 + 38.3170i 1.86736 + 1.56690i
\(599\) 6.02338 + 5.05422i 0.246109 + 0.206510i 0.757495 0.652841i \(-0.226423\pi\)
−0.511386 + 0.859351i \(0.670868\pi\)
\(600\) −39.4236 + 10.0806i −1.60946 + 0.411539i
\(601\) −12.7277 + 7.34835i −0.519174 + 0.299745i −0.736597 0.676332i \(-0.763568\pi\)
0.217422 + 0.976078i \(0.430235\pi\)
\(602\) 6.09588 34.5714i 0.248449 1.40903i
\(603\) 4.68293 + 30.6519i 0.190704 + 1.24824i
\(604\) 19.5289 23.2736i 0.794618 0.946989i
\(605\) −1.57360 + 4.32343i −0.0639759 + 0.175772i
\(606\) −26.5088 + 11.9933i −1.07685 + 0.487193i
\(607\) 34.1846 19.7365i 1.38751 0.801079i 0.394475 0.918907i \(-0.370926\pi\)
0.993034 + 0.117828i \(0.0375930\pi\)
\(608\) 15.0860 + 35.3576i 0.611820 + 1.43394i
\(609\) 17.8541 + 18.2682i 0.723486 + 0.740267i
\(610\) 22.8033 + 27.1759i 0.923277 + 1.10032i
\(611\) 4.72809 + 26.8143i 0.191278 + 1.08479i
\(612\) 0.385430 0.130359i 0.0155801 0.00526943i
\(613\) −6.49712 + 5.45173i −0.262416 + 0.220193i −0.764497 0.644628i \(-0.777012\pi\)
0.502081 + 0.864821i \(0.332568\pi\)
\(614\) −27.5933 + 32.8844i −1.11358 + 1.32711i
\(615\) −6.06332 + 5.92588i −0.244497 + 0.238954i
\(616\) 72.0375 + 41.5909i 2.90247 + 1.67574i
\(617\) −14.2643 + 16.9995i −0.574259 + 0.684375i −0.972499 0.232906i \(-0.925177\pi\)
0.398240 + 0.917281i \(0.369621\pi\)
\(618\) 5.87481 + 8.59822i 0.236319 + 0.345871i
\(619\) 29.4005 1.18171 0.590853 0.806779i \(-0.298791\pi\)
0.590853 + 0.806779i \(0.298791\pi\)
\(620\) 10.9862 19.0286i 0.441216 0.764208i
\(621\) −28.1100 14.3045i −1.12802 0.574022i
\(622\) −10.3369 12.3190i −0.414470 0.493946i
\(623\) 42.4611 15.4546i 1.70117 0.619174i
\(624\) 52.8645 23.9172i 2.11627 0.957454i
\(625\) 0.477593 + 2.70857i 0.0191037 + 0.108343i
\(626\) 14.3728 + 24.8944i 0.574453 + 0.994982i
\(627\) −9.49199 18.2731i −0.379074 0.729758i
\(628\) −24.4281 + 42.3106i −0.974786 + 1.68838i
\(629\) 0.195899 + 0.0713013i 0.00781100 + 0.00284297i
\(630\) −6.56162 42.9488i −0.261421 1.71112i
\(631\) 19.8868 + 16.6870i 0.791682 + 0.664300i 0.946161 0.323696i \(-0.104925\pi\)
−0.154479 + 0.987996i \(0.549370\pi\)
\(632\) 35.9262 6.33476i 1.42907 0.251983i
\(633\) 6.78217 + 9.92621i 0.269567 + 0.394532i
\(634\) −63.9989 −2.54172
\(635\) 5.37464 9.30916i 0.213286 0.369423i
\(636\) −40.8556 19.6246i −1.62003 0.778165i
\(637\) 43.6433 + 7.69549i 1.72921 + 0.304907i
\(638\) −20.8838 + 12.0572i −0.826796 + 0.477351i
\(639\) 0.442734 19.3068i 0.0175143 0.763763i
\(640\) 5.36723 + 0.946388i 0.212159 + 0.0374093i
\(641\) −6.57760 37.3034i −0.259799 1.47340i −0.783446 0.621460i \(-0.786540\pi\)
0.523646 0.851936i \(-0.324571\pi\)
\(642\) −13.2143 + 9.02878i −0.521526 + 0.356337i
\(643\) 0.629992 0.528626i 0.0248445 0.0208470i −0.630281 0.776367i \(-0.717060\pi\)
0.655125 + 0.755520i \(0.272616\pi\)
\(644\) −122.023 + 21.5159i −4.80838 + 0.847846i
\(645\) −1.73590 6.78883i −0.0683510 0.267310i
\(646\) −0.298612 + 0.127409i −0.0117487 + 0.00501283i
\(647\) 11.4597i 0.450528i 0.974298 + 0.225264i \(0.0723245\pi\)
−0.974298 + 0.225264i \(0.927676\pi\)
\(648\) −50.4457 + 38.5306i −1.98169 + 1.51362i
\(649\) 29.1531 5.14048i 1.14436 0.201781i
\(650\) −11.1883 30.7395i −0.438840 1.20570i
\(651\) −21.9253 15.7299i −0.859321 0.616503i
\(652\) −97.5987 + 35.5230i −3.82226 + 1.39119i
\(653\) 21.4238i 0.838378i −0.907899 0.419189i \(-0.862314\pi\)
0.907899 0.419189i \(-0.137686\pi\)
\(654\) 11.5496 + 45.1688i 0.451627 + 1.76624i
\(655\) −1.82472 + 10.3485i −0.0712978 + 0.404350i
\(656\) 31.4851 11.4596i 1.22929 0.447424i
\(657\) −27.5663 16.7696i −1.07546 0.654242i
\(658\) −69.7786 40.2867i −2.72025 1.57054i
\(659\) −0.717513 0.602065i −0.0279503 0.0234531i 0.628705 0.777644i \(-0.283585\pi\)
−0.656656 + 0.754190i \(0.728030\pi\)
\(660\) 28.6695 + 2.83978i 1.11596 + 0.110538i
\(661\) −7.16029 1.26255i −0.278503 0.0491076i 0.0326521 0.999467i \(-0.489605\pi\)
−0.311155 + 0.950359i \(0.600716\pi\)
\(662\) −17.0386 20.3058i −0.662224 0.789207i
\(663\) 0.0777043 + 0.171751i 0.00301779 + 0.00667025i
\(664\) 54.3456 + 31.3764i 2.10902 + 1.21764i
\(665\) 5.52181 + 23.7164i 0.214127 + 0.919682i
\(666\) −56.4178 1.29375i −2.18615 0.0501317i
\(667\) 7.08046 19.4534i 0.274157 0.753239i
\(668\) 72.9325 + 26.5453i 2.82184 + 1.02707i
\(669\) −5.28278 7.73174i −0.204244 0.298926i
\(670\) 32.5288 + 11.8395i 1.25670 + 0.457401i
\(671\) 9.88082 + 27.1473i 0.381445 + 1.04801i
\(672\) −17.8259 + 63.6015i −0.687648 + 2.45348i
\(673\) 42.5302i 1.63942i −0.572780 0.819709i \(-0.694135\pi\)
0.572780 0.819709i \(-0.305865\pi\)
\(674\) 19.3384 + 53.1319i 0.744889 + 2.04656i
\(675\) 9.43425 + 14.5111i 0.363124 + 0.558532i
\(676\) 3.18759 + 5.52107i 0.122600 + 0.212349i
\(677\) −1.76142 3.05087i −0.0676969 0.117255i 0.830190 0.557480i \(-0.188232\pi\)
−0.897887 + 0.440226i \(0.854898\pi\)
\(678\) 2.06408 + 27.1775i 0.0792705 + 1.04374i
\(679\) 1.94445 5.34232i 0.0746210 0.205020i
\(680\) 0.0454589 0.257810i 0.00174327 0.00988657i
\(681\) −39.8595 3.94817i −1.52742 0.151294i
\(682\) 19.5143 16.3744i 0.747240 0.627009i
\(683\) −24.3871 −0.933148 −0.466574 0.884482i \(-0.654512\pi\)
−0.466574 + 0.884482i \(0.654512\pi\)
\(684\) 46.0236 41.1396i 1.75976 1.57301i
\(685\) 0.124136 0.00474298
\(686\) −40.3487 + 33.8566i −1.54052 + 1.29265i
\(687\) 11.5940 16.1604i 0.442338 0.616558i
\(688\) −4.80877 + 27.2719i −0.183333 + 1.03973i
\(689\) 7.18218 19.7329i 0.273619 0.751763i
\(690\) −29.0730 + 19.8644i −1.10679 + 0.756223i
\(691\) −10.0582 17.4214i −0.382633 0.662740i 0.608805 0.793320i \(-0.291649\pi\)
−0.991438 + 0.130580i \(0.958316\pi\)
\(692\) −10.6678 18.4772i −0.405529 0.702397i
\(693\) 6.94109 34.6937i 0.263670 1.31791i
\(694\) −31.8397 87.4789i −1.20862 3.32065i
\(695\) 7.53241i 0.285721i
\(696\) −29.1213 29.7967i −1.10384 1.12944i
\(697\) 0.0372311 + 0.102292i 0.00141023 + 0.00387458i
\(698\) 81.4989 + 29.6632i 3.08478 + 1.12277i
\(699\) −10.1197 + 21.0677i −0.382761 + 0.796855i
\(700\) 63.8944 + 23.2557i 2.41498 + 0.878982i
\(701\) 15.7809 43.3576i 0.596035 1.63759i −0.163061 0.986616i \(-0.552137\pi\)
0.759097 0.650978i \(-0.225641\pi\)
\(702\) −34.8212 37.3026i −1.31424 1.40790i
\(703\) 31.5822 1.71403i 1.19114 0.0646458i
\(704\) −12.2268 7.05913i −0.460814 0.266051i
\(705\) −16.0049 1.58532i −0.602780 0.0597067i
\(706\) 46.6776 + 55.6282i 1.75674 + 2.09360i
\(707\) 27.5942 + 4.86560i 1.03779 + 0.182990i
\(708\) 36.5810 + 80.8555i 1.37480 + 3.03873i
\(709\) −10.9692 9.20426i −0.411957 0.345673i 0.413136 0.910669i \(-0.364433\pi\)
−0.825094 + 0.564996i \(0.808878\pi\)
\(710\) −18.6710 10.7797i −0.700712 0.404556i
\(711\) −7.44834 13.6124i −0.279335 0.510504i
\(712\) −69.2569 + 25.2074i −2.59551 + 0.944689i
\(713\) −3.79752 + 21.5368i −0.142218 + 0.806561i
\(714\) −0.537145 0.150548i −0.0201021 0.00563411i
\(715\) 13.3479i 0.499182i
\(716\) 94.7703 34.4936i 3.54173 1.28909i
\(717\) 2.60375 26.2867i 0.0972390 0.981693i
\(718\) −13.6355 37.4631i −0.508871 1.39811i
\(719\) −22.4083 + 3.95119i −0.835689 + 0.147354i −0.575087 0.818092i \(-0.695032\pi\)
−0.260601 + 0.965446i \(0.583921\pi\)
\(720\) 5.17617 + 33.8804i 0.192904 + 1.26265i
\(721\) 10.0286i 0.373483i
\(722\) −34.0841 + 35.5587i −1.26848 + 1.32336i
\(723\) 0.850609 + 0.238404i 0.0316345 + 0.00886634i
\(724\) 78.0291 13.7586i 2.89993 0.511336i
\(725\) −8.70265 + 7.30239i −0.323208 + 0.271204i
\(726\) −14.4144 6.92381i −0.534969 0.256967i
\(727\) 2.91456 + 16.5293i 0.108095 + 0.613037i 0.989939 + 0.141495i \(0.0451910\pi\)
−0.881844 + 0.471541i \(0.843698\pi\)
\(728\) −113.780 20.0625i −4.21696 0.743564i
\(729\) 22.3996 + 15.0751i 0.829613 + 0.558338i
\(730\) −31.1957 + 18.0109i −1.15461 + 0.666612i
\(731\) −0.0886034 0.0156232i −0.00327711 0.000577843i
\(732\) −71.5094 + 48.8594i −2.64306 + 1.80590i
\(733\) −8.45582 + 14.6459i −0.312323 + 0.540959i −0.978865 0.204508i \(-0.934440\pi\)
0.666542 + 0.745468i \(0.267774\pi\)
\(734\) −85.0177 −3.13806
\(735\) −11.3342 + 23.5963i −0.418069 + 0.870361i
\(736\) 52.7181 9.29563i 1.94322 0.342641i
\(737\) 21.5948 + 18.1202i 0.795453 + 0.667465i
\(738\) −18.4187 23.0015i −0.678001 0.846697i
\(739\) −24.2948 8.84257i −0.893697 0.325279i −0.145973 0.989289i \(-0.546631\pi\)
−0.747724 + 0.664010i \(0.768853\pi\)
\(740\) −22.1261 + 38.3236i −0.813372 + 1.40880i
\(741\) 21.0694 + 19.3406i 0.774003 + 0.710495i
\(742\) 31.0707 + 53.8160i 1.14064 + 1.97565i
\(743\) 4.11140 + 23.3169i 0.150833 + 0.855415i 0.962497 + 0.271291i \(0.0874506\pi\)
−0.811665 + 0.584124i \(0.801438\pi\)
\(744\) 35.7617 + 25.6565i 1.31109 + 0.940614i
\(745\) −17.4780 + 6.36147i −0.640344 + 0.233066i
\(746\) −9.98922 11.9047i −0.365731 0.435861i
\(747\) 5.23640 26.1732i 0.191590 0.957626i
\(748\) 0.184953 0.320347i 0.00676254 0.0117131i
\(749\) 15.4125 0.563162
\(750\) 48.1885 3.65983i 1.75960 0.133638i
\(751\) 1.44765 1.72524i 0.0528254 0.0629549i −0.738985 0.673722i \(-0.764694\pi\)
0.791810 + 0.610767i \(0.209139\pi\)
\(752\) 55.0453 + 31.7804i 2.00729 + 1.15891i
\(753\) −7.89819 2.21366i −0.287826 0.0806703i
\(754\) 21.5294 25.6577i 0.784053 0.934398i
\(755\) −6.36932 + 5.34449i −0.231803 + 0.194506i
\(756\) 105.920 5.60578i 3.85229 0.203880i
\(757\) 0.800552 + 4.54016i 0.0290966 + 0.165015i 0.995894 0.0905302i \(-0.0288562\pi\)
−0.966797 + 0.255545i \(0.917745\pi\)
\(758\) −1.59890 1.90550i −0.0580748 0.0692108i
\(759\) −27.7805 + 7.10347i −1.00837 + 0.257840i
\(760\) −9.00645 38.6830i −0.326698 1.40318i
\(761\) −23.5624 + 13.6038i −0.854136 + 0.493136i −0.862044 0.506833i \(-0.830816\pi\)
0.00790816 + 0.999969i \(0.497483\pi\)
\(762\) 30.3564 + 21.7786i 1.09970 + 0.788957i
\(763\) 15.3561 42.1906i 0.555929 1.52740i
\(764\) 29.3317 34.9562i 1.06118 1.26467i
\(765\) −0.110074 + 0.0168168i −0.00397972 + 0.000608013i
\(766\) 1.01974 5.78323i 0.0368447 0.208957i
\(767\) −35.6082 + 20.5584i −1.28574 + 0.742320i
\(768\) −9.95142 + 35.5060i −0.359091 + 1.28121i
\(769\) −33.6523 28.2376i −1.21353 1.01828i −0.999137 0.0415287i \(-0.986777\pi\)
−0.214396 0.976747i \(-0.568778\pi\)
\(770\) −30.2581 25.3896i −1.09043 0.914976i
\(771\) −0.881309 + 3.14445i −0.0317396 + 0.113245i