Properties

Label 171.2.x.a.110.3
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 110.3
Character \(\chi\) \(=\) 171.110
Dual form 171.2.x.a.14.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.80901 + 1.51794i) q^{2} +(-0.419122 + 1.68058i) q^{3} +(0.621081 - 3.52233i) q^{4} +(-1.22473 + 3.36492i) q^{5} +(-1.79282 - 3.67638i) q^{6} +(0.850912 + 1.47382i) q^{7} +(1.86164 + 3.22446i) q^{8} +(-2.64867 - 1.40873i) q^{9} +O(q^{10})\) \(q+(-1.80901 + 1.51794i) q^{2} +(-0.419122 + 1.68058i) q^{3} +(0.621081 - 3.52233i) q^{4} +(-1.22473 + 3.36492i) q^{5} +(-1.79282 - 3.67638i) q^{6} +(0.850912 + 1.47382i) q^{7} +(1.86164 + 3.22446i) q^{8} +(-2.64867 - 1.40873i) q^{9} +(-2.89220 - 7.94624i) q^{10} -0.0685816i q^{11} +(5.65923 + 2.52006i) q^{12} +(0.947862 + 2.60423i) q^{13} +(-3.77648 - 1.37453i) q^{14} +(-5.14169 - 3.46856i) q^{15} +(-1.54034 - 0.560636i) q^{16} +(2.40059 - 6.59558i) q^{17} +(6.92985 - 1.47211i) q^{18} +(-3.88520 - 1.97616i) q^{19} +(11.0917 + 6.40378i) q^{20} +(-2.83351 + 0.812310i) q^{21} +(0.104103 + 0.124065i) q^{22} +(2.95636 + 0.521285i) q^{23} +(-6.19920 + 1.77719i) q^{24} +(-5.99249 - 5.02830i) q^{25} +(-5.66776 - 3.27228i) q^{26} +(3.47760 - 3.86087i) q^{27} +(5.71977 - 2.08182i) q^{28} +(-1.00498 + 5.69952i) q^{29} +(14.5664 - 1.53011i) q^{30} +2.56914i q^{31} +(-3.35999 + 1.22294i) q^{32} +(0.115257 + 0.0287441i) q^{33} +(5.66899 + 15.5754i) q^{34} +(-6.00143 + 1.05821i) q^{35} +(-6.60706 + 8.45455i) q^{36} +7.77355i q^{37} +(10.0281 - 2.32260i) q^{38} +(-4.77388 + 0.501464i) q^{39} +(-13.1300 + 2.31518i) q^{40} +(-8.32894 + 6.98881i) q^{41} +(3.89281 - 5.77057i) q^{42} +(0.683977 + 3.87902i) q^{43} +(-0.241567 - 0.0425947i) q^{44} +(7.98418 - 7.18725i) q^{45} +(-6.13936 + 3.54456i) q^{46} +(-0.713950 - 0.125889i) q^{47} +(1.58778 - 2.35368i) q^{48} +(2.05190 - 3.55399i) q^{49} +18.4731 q^{50} +(10.0782 + 6.79873i) q^{51} +(9.76164 - 1.72124i) q^{52} +(6.47151 + 5.43024i) q^{53} +(-0.430456 + 12.2631i) q^{54} +(0.230771 + 0.0839939i) q^{55} +(-3.16818 + 5.48746i) q^{56} +(4.94947 - 5.70112i) q^{57} +(-6.83351 - 11.8360i) q^{58} +(-1.93552 - 10.9769i) q^{59} +(-15.4108 + 15.9564i) q^{60} +(-1.83166 + 0.666669i) q^{61} +(-3.89981 - 4.64761i) q^{62} +(-0.177564 - 5.10238i) q^{63} +(5.86110 - 10.1517i) q^{64} -9.92389 q^{65} +(-0.252132 + 0.122954i) q^{66} +(-5.17654 + 6.16916i) q^{67} +(-21.7408 - 12.5521i) q^{68} +(-2.11513 + 4.74990i) q^{69} +(9.25034 - 11.0241i) q^{70} +(4.92220 - 4.13021i) q^{71} +(-0.388478 - 11.1631i) q^{72} +(1.28461 + 7.28540i) q^{73} +(-11.7998 - 14.0624i) q^{74} +(10.9620 - 7.96337i) q^{75} +(-9.37372 + 12.4576i) q^{76} +(0.101077 - 0.0583569i) q^{77} +(7.87480 - 8.15361i) q^{78} +(3.66753 - 10.0764i) q^{79} +(3.77299 - 4.49647i) q^{80} +(5.03094 + 7.46255i) q^{81} +(4.45854 - 25.2857i) q^{82} +(-0.302529 + 0.174665i) q^{83} +(1.10138 + 10.4850i) q^{84} +(19.2535 + 16.1556i) q^{85} +(-7.12545 - 5.97896i) q^{86} +(-9.15727 - 4.07774i) q^{87} +(0.221138 - 0.127674i) q^{88} +(-0.881834 + 5.00113i) q^{89} +(-3.53366 + 25.1213i) q^{90} +(-3.03162 + 3.61295i) q^{91} +(3.67227 - 10.0895i) q^{92} +(-4.31764 - 1.07678i) q^{93} +(1.48263 - 0.855999i) q^{94} +(11.4080 - 10.6531i) q^{95} +(-0.646991 - 6.15927i) q^{96} +(2.44747 + 2.91678i) q^{97} +(1.68284 + 9.54387i) q^{98} +(-0.0966132 + 0.181650i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.80901 + 1.51794i −1.27916 + 1.07335i −0.285805 + 0.958288i \(0.592261\pi\)
−0.993359 + 0.115058i \(0.963295\pi\)
\(3\) −0.419122 + 1.68058i −0.241980 + 0.970281i
\(4\) 0.621081 3.52233i 0.310540 1.76116i
\(5\) −1.22473 + 3.36492i −0.547716 + 1.50484i 0.289070 + 0.957308i \(0.406654\pi\)
−0.836786 + 0.547529i \(0.815568\pi\)
\(6\) −1.79282 3.67638i −0.731915 1.50088i
\(7\) 0.850912 + 1.47382i 0.321614 + 0.557052i 0.980821 0.194909i \(-0.0624412\pi\)
−0.659207 + 0.751962i \(0.729108\pi\)
\(8\) 1.86164 + 3.22446i 0.658190 + 1.14002i
\(9\) −2.64867 1.40873i −0.882891 0.469578i
\(10\) −2.89220 7.94624i −0.914592 2.51282i
\(11\) 0.0685816i 0.0206781i −0.999947 0.0103391i \(-0.996709\pi\)
0.999947 0.0103391i \(-0.00329108\pi\)
\(12\) 5.65923 + 2.52006i 1.63368 + 0.727478i
\(13\) 0.947862 + 2.60423i 0.262890 + 0.722283i 0.998969 + 0.0453885i \(0.0144526\pi\)
−0.736080 + 0.676895i \(0.763325\pi\)
\(14\) −3.77648 1.37453i −1.00931 0.367358i
\(15\) −5.14169 3.46856i −1.32758 0.895579i
\(16\) −1.54034 0.560636i −0.385084 0.140159i
\(17\) 2.40059 6.59558i 0.582230 1.59966i −0.202132 0.979358i \(-0.564787\pi\)
0.784361 0.620304i \(-0.212991\pi\)
\(18\) 6.92985 1.47211i 1.63338 0.346980i
\(19\) −3.88520 1.97616i −0.891326 0.453363i
\(20\) 11.0917 + 6.40378i 2.48018 + 1.43193i
\(21\) −2.83351 + 0.812310i −0.618322 + 0.177261i
\(22\) 0.104103 + 0.124065i 0.0221948 + 0.0264507i
\(23\) 2.95636 + 0.521285i 0.616443 + 0.108696i 0.473146 0.880984i \(-0.343118\pi\)
0.143297 + 0.989680i \(0.454229\pi\)
\(24\) −6.19920 + 1.77719i −1.26541 + 0.362767i
\(25\) −5.99249 5.02830i −1.19850 1.00566i
\(26\) −5.66776 3.27228i −1.11154 0.641747i
\(27\) 3.47760 3.86087i 0.669265 0.743024i
\(28\) 5.71977 2.08182i 1.08093 0.393428i
\(29\) −1.00498 + 5.69952i −0.186620 + 1.05837i 0.737236 + 0.675635i \(0.236130\pi\)
−0.923856 + 0.382739i \(0.874981\pi\)
\(30\) 14.5664 1.53011i 2.65946 0.279358i
\(31\) 2.56914i 0.461432i 0.973021 + 0.230716i \(0.0741068\pi\)
−0.973021 + 0.230716i \(0.925893\pi\)
\(32\) −3.35999 + 1.22294i −0.593967 + 0.216186i
\(33\) 0.115257 + 0.0287441i 0.0200636 + 0.00500370i
\(34\) 5.66899 + 15.5754i 0.972224 + 2.67116i
\(35\) −6.00143 + 1.05821i −1.01443 + 0.178871i
\(36\) −6.60706 + 8.45455i −1.10118 + 1.40909i
\(37\) 7.77355i 1.27796i 0.769221 + 0.638982i \(0.220644\pi\)
−0.769221 + 0.638982i \(0.779356\pi\)
\(38\) 10.0281 2.32260i 1.62677 0.376775i
\(39\) −4.77388 + 0.501464i −0.764432 + 0.0802985i
\(40\) −13.1300 + 2.31518i −2.07604 + 0.366062i
\(41\) −8.32894 + 6.98881i −1.30076 + 1.09147i −0.310749 + 0.950492i \(0.600580\pi\)
−0.990013 + 0.140977i \(0.954976\pi\)
\(42\) 3.89281 5.77057i 0.600673 0.890419i
\(43\) 0.683977 + 3.87902i 0.104305 + 0.591546i 0.991495 + 0.130141i \(0.0415431\pi\)
−0.887190 + 0.461404i \(0.847346\pi\)
\(44\) −0.241567 0.0425947i −0.0364175 0.00642139i
\(45\) 7.98418 7.18725i 1.19021 1.07141i
\(46\) −6.13936 + 3.54456i −0.905200 + 0.522617i
\(47\) −0.713950 0.125889i −0.104140 0.0183627i 0.121335 0.992612i \(-0.461282\pi\)
−0.225475 + 0.974249i \(0.572394\pi\)
\(48\) 1.58778 2.35368i 0.229176 0.339724i
\(49\) 2.05190 3.55399i 0.293128 0.507713i
\(50\) 18.4731 2.61250
\(51\) 10.0782 + 6.79873i 1.41123 + 0.952013i
\(52\) 9.76164 1.72124i 1.35370 0.238693i
\(53\) 6.47151 + 5.43024i 0.888930 + 0.745901i 0.967995 0.250969i \(-0.0807492\pi\)
−0.0790654 + 0.996869i \(0.525194\pi\)
\(54\) −0.430456 + 12.2631i −0.0585776 + 1.66880i
\(55\) 0.230771 + 0.0839939i 0.0311172 + 0.0113257i
\(56\) −3.16818 + 5.48746i −0.423366 + 0.733292i
\(57\) 4.94947 5.70112i 0.655573 0.755132i
\(58\) −6.83351 11.8360i −0.897284 1.55414i
\(59\) −1.93552 10.9769i −0.251983 1.42907i −0.803699 0.595036i \(-0.797138\pi\)
0.551716 0.834032i \(-0.313973\pi\)
\(60\) −15.4108 + 15.9564i −1.98953 + 2.05997i
\(61\) −1.83166 + 0.666669i −0.234520 + 0.0853582i −0.456607 0.889669i \(-0.650935\pi\)
0.222087 + 0.975027i \(0.428713\pi\)
\(62\) −3.89981 4.64761i −0.495276 0.590247i
\(63\) −0.177564 5.10238i −0.0223710 0.642840i
\(64\) 5.86110 10.1517i 0.732638 1.26897i
\(65\) −9.92389 −1.23091
\(66\) −0.252132 + 0.122954i −0.0310353 + 0.0151346i
\(67\) −5.17654 + 6.16916i −0.632415 + 0.753683i −0.983152 0.182791i \(-0.941487\pi\)
0.350737 + 0.936474i \(0.385931\pi\)
\(68\) −21.7408 12.5521i −2.63646 1.52216i
\(69\) −2.11513 + 4.74990i −0.254632 + 0.571821i
\(70\) 9.25034 11.0241i 1.10563 1.31764i
\(71\) 4.92220 4.13021i 0.584157 0.490166i −0.302152 0.953260i \(-0.597705\pi\)
0.886309 + 0.463093i \(0.153261\pi\)
\(72\) −0.388478 11.1631i −0.0457826 1.31558i
\(73\) 1.28461 + 7.28540i 0.150353 + 0.852692i 0.962912 + 0.269814i \(0.0869623\pi\)
−0.812560 + 0.582878i \(0.801927\pi\)
\(74\) −11.7998 14.0624i −1.37170 1.63473i
\(75\) 10.9620 7.96337i 1.26579 0.919530i
\(76\) −9.37372 + 12.4576i −1.07524 + 1.42898i
\(77\) 0.101077 0.0583569i 0.0115188 0.00665038i
\(78\) 7.87480 8.15361i 0.891645 0.923215i
\(79\) 3.66753 10.0764i 0.412629 1.13369i −0.543159 0.839630i \(-0.682772\pi\)
0.955787 0.294058i \(-0.0950060\pi\)
\(80\) 3.77299 4.49647i 0.421833 0.502721i
\(81\) 5.03094 + 7.46255i 0.558993 + 0.829172i
\(82\) 4.45854 25.2857i 0.492364 2.79233i
\(83\) −0.302529 + 0.174665i −0.0332069 + 0.0191720i −0.516512 0.856280i \(-0.672770\pi\)
0.483305 + 0.875452i \(0.339436\pi\)
\(84\) 1.10138 + 10.4850i 0.120171 + 1.14401i
\(85\) 19.2535 + 16.1556i 2.08834 + 1.75232i
\(86\) −7.12545 5.97896i −0.768357 0.644728i
\(87\) −9.15727 4.07774i −0.981762 0.437179i
\(88\) 0.221138 0.127674i 0.0235734 0.0136101i
\(89\) −0.881834 + 5.00113i −0.0934743 + 0.530119i 0.901730 + 0.432300i \(0.142298\pi\)
−0.995204 + 0.0978191i \(0.968813\pi\)
\(90\) −3.53366 + 25.1213i −0.372480 + 2.64802i
\(91\) −3.03162 + 3.61295i −0.317801 + 0.378740i
\(92\) 3.67227 10.0895i 0.382861 1.05190i
\(93\) −4.31764 1.07678i −0.447719 0.111657i
\(94\) 1.48263 0.855999i 0.152922 0.0882896i
\(95\) 11.4080 10.6531i 1.17043 1.09299i
\(96\) −0.646991 6.15927i −0.0660332 0.628628i
\(97\) 2.44747 + 2.91678i 0.248503 + 0.296154i 0.875848 0.482587i \(-0.160303\pi\)
−0.627345 + 0.778741i \(0.715859\pi\)
\(98\) 1.68284 + 9.54387i 0.169993 + 0.964077i
\(99\) −0.0966132 + 0.181650i −0.00970999 + 0.0182565i
\(100\) −21.4331 + 17.9845i −2.14331 + 1.79845i
\(101\) −3.71031 + 4.42177i −0.369189 + 0.439983i −0.918371 0.395720i \(-0.870495\pi\)
0.549182 + 0.835703i \(0.314939\pi\)
\(102\) −28.5517 + 2.99917i −2.82704 + 0.296962i
\(103\) −9.35292 5.39991i −0.921571 0.532069i −0.0374351 0.999299i \(-0.511919\pi\)
−0.884136 + 0.467230i \(0.845252\pi\)
\(104\) −6.63265 + 7.90448i −0.650384 + 0.775098i
\(105\) 0.736923 10.5294i 0.0719163 1.02756i
\(106\) −19.9498 −1.93770
\(107\) 5.99297 10.3801i 0.579362 1.00348i −0.416191 0.909277i \(-0.636635\pi\)
0.995553 0.0942068i \(-0.0300315\pi\)
\(108\) −11.4394 14.6472i −1.10075 1.40942i
\(109\) 1.67453 + 1.99563i 0.160391 + 0.191146i 0.840255 0.542192i \(-0.182406\pi\)
−0.679864 + 0.733338i \(0.737961\pi\)
\(110\) −0.544966 + 0.198351i −0.0519604 + 0.0189121i
\(111\) −13.0641 3.25807i −1.23998 0.309242i
\(112\) −0.484411 2.74723i −0.0457725 0.259589i
\(113\) 9.89206 + 17.1335i 0.930567 + 1.61179i 0.782355 + 0.622833i \(0.214018\pi\)
0.148212 + 0.988956i \(0.452648\pi\)
\(114\) −0.299681 + 17.8264i −0.0280677 + 1.66959i
\(115\) −5.37482 + 9.30947i −0.501205 + 0.868112i
\(116\) 19.4514 + 7.07973i 1.80602 + 0.657336i
\(117\) 1.15809 8.23304i 0.107065 0.761144i
\(118\) 20.1636 + 16.9193i 1.85621 + 1.55755i
\(119\) 11.7634 2.07421i 1.07835 0.190142i
\(120\) 1.61225 23.0364i 0.147178 2.10292i
\(121\) 10.9953 0.999572
\(122\) 2.30152 3.98636i 0.208370 0.360908i
\(123\) −8.25438 16.9266i −0.744273 1.52622i
\(124\) 9.04936 + 1.59565i 0.812656 + 0.143293i
\(125\) 8.75336 5.05376i 0.782924 0.452022i
\(126\) 8.06632 + 8.96073i 0.718605 + 0.798285i
\(127\) 1.09837 + 0.193673i 0.0974648 + 0.0171857i 0.222168 0.975008i \(-0.428687\pi\)
−0.124703 + 0.992194i \(0.539798\pi\)
\(128\) 3.56512 + 20.2188i 0.315115 + 1.78710i
\(129\) −6.80567 0.476310i −0.599206 0.0419368i
\(130\) 17.9524 15.0639i 1.57453 1.32119i
\(131\) 0.0109927 0.00193831i 0.000960439 0.000169351i −0.173168 0.984892i \(-0.555400\pi\)
0.174128 + 0.984723i \(0.444289\pi\)
\(132\) 0.172830 0.388119i 0.0150429 0.0337814i
\(133\) −0.393447 7.40763i −0.0341162 0.642323i
\(134\) 19.0178i 1.64288i
\(135\) 8.73237 + 16.4304i 0.751563 + 1.41410i
\(136\) 25.7362 4.53799i 2.20686 0.389129i
\(137\) −1.11583 3.06570i −0.0953314 0.261921i 0.882857 0.469643i \(-0.155617\pi\)
−0.978188 + 0.207722i \(0.933395\pi\)
\(138\) −3.38376 11.8033i −0.288045 1.00476i
\(139\) 8.02855 2.92215i 0.680973 0.247854i 0.0217075 0.999764i \(-0.493090\pi\)
0.659265 + 0.751911i \(0.270868\pi\)
\(140\) 21.7962i 1.84212i
\(141\) 0.510798 1.14708i 0.0430169 0.0966019i
\(142\) −2.63489 + 14.9432i −0.221115 + 1.25401i
\(143\) 0.178602 0.0650059i 0.0149355 0.00543606i
\(144\) 3.29006 + 3.65486i 0.274171 + 0.304572i
\(145\) −17.9476 10.3620i −1.49047 0.860521i
\(146\) −13.3827 11.2294i −1.10756 0.929352i
\(147\) 5.11276 + 4.93793i 0.421693 + 0.407274i
\(148\) 27.3810 + 4.82801i 2.25070 + 0.396860i
\(149\) 0.600370 + 0.715493i 0.0491842 + 0.0586155i 0.790076 0.613009i \(-0.210041\pi\)
−0.740891 + 0.671625i \(0.765597\pi\)
\(150\) −7.74250 + 31.0455i −0.632172 + 2.53486i
\(151\) −10.8642 6.27247i −0.884119 0.510447i −0.0121050 0.999927i \(-0.503853\pi\)
−0.872014 + 0.489480i \(0.837187\pi\)
\(152\) −0.860791 16.2066i −0.0698194 1.31453i
\(153\) −15.6498 + 14.0877i −1.26521 + 1.13893i
\(154\) −0.0942672 + 0.258997i −0.00759627 + 0.0208706i
\(155\) −8.64496 3.14651i −0.694380 0.252734i
\(156\) −1.19864 + 17.1266i −0.0959683 + 1.37122i
\(157\) −10.9534 3.98670i −0.874174 0.318173i −0.134318 0.990938i \(-0.542884\pi\)
−0.739856 + 0.672765i \(0.765106\pi\)
\(158\) 8.66085 + 23.7955i 0.689020 + 1.89307i
\(159\) −11.8383 + 8.59993i −0.938837 + 0.682019i
\(160\) 12.8038i 1.01223i
\(161\) 1.74732 + 4.80071i 0.137708 + 0.378349i
\(162\) −20.4287 5.86317i −1.60503 0.460654i
\(163\) 8.85463 + 15.3367i 0.693548 + 1.20126i 0.970668 + 0.240425i \(0.0772868\pi\)
−0.277120 + 0.960835i \(0.589380\pi\)
\(164\) 19.4439 + 33.6778i 1.51831 + 2.62980i
\(165\) −0.237880 + 0.352625i −0.0185189 + 0.0274518i
\(166\) 0.282147 0.775192i 0.0218989 0.0601666i
\(167\) 0.198247 1.12432i 0.0153408 0.0870022i −0.976176 0.216980i \(-0.930379\pi\)
0.991517 + 0.129978i \(0.0414905\pi\)
\(168\) −7.89423 7.62429i −0.609053 0.588227i
\(169\) 4.07501 3.41934i 0.313462 0.263026i
\(170\) −59.3530 −4.55217
\(171\) 7.50673 + 10.7074i 0.574054 + 0.818817i
\(172\) 14.0880 1.07420
\(173\) 0.683168 0.573246i 0.0519403 0.0435831i −0.616448 0.787396i \(-0.711429\pi\)
0.668388 + 0.743813i \(0.266984\pi\)
\(174\) 22.7554 6.52351i 1.72508 0.494546i
\(175\) 2.31173 13.1105i 0.174751 0.991061i
\(176\) −0.0384493 + 0.105639i −0.00289823 + 0.00796281i
\(177\) 19.2587 + 1.34786i 1.44757 + 0.101312i
\(178\) −5.99617 10.3857i −0.449432 0.778439i
\(179\) 7.40214 + 12.8209i 0.553262 + 0.958278i 0.998036 + 0.0626353i \(0.0199505\pi\)
−0.444774 + 0.895643i \(0.646716\pi\)
\(180\) −20.3570 32.5868i −1.51732 2.42887i
\(181\) 2.14356 + 5.88939i 0.159330 + 0.437755i 0.993511 0.113735i \(-0.0362816\pi\)
−0.834181 + 0.551490i \(0.814059\pi\)
\(182\) 11.1377i 0.825580i
\(183\) −0.352699 3.35765i −0.0260723 0.248205i
\(184\) 3.82281 + 10.5031i 0.281822 + 0.774298i
\(185\) −26.1574 9.52051i −1.92313 0.699962i
\(186\) 9.44515 4.60601i 0.692552 0.337729i
\(187\) −0.452335 0.164637i −0.0330780 0.0120394i
\(188\) −0.886841 + 2.43658i −0.0646795 + 0.177706i
\(189\) 8.64936 + 1.84011i 0.629148 + 0.133848i
\(190\) −4.46632 + 36.5882i −0.324021 + 2.65439i
\(191\) 16.6733 + 9.62632i 1.20644 + 0.696536i 0.961979 0.273124i \(-0.0880570\pi\)
0.244457 + 0.969660i \(0.421390\pi\)
\(192\) 14.6042 + 14.1048i 1.05397 + 1.01793i
\(193\) −8.89893 10.6053i −0.640559 0.763388i 0.343900 0.939006i \(-0.388252\pi\)
−0.984458 + 0.175618i \(0.943808\pi\)
\(194\) −8.85498 1.56137i −0.635751 0.112100i
\(195\) 4.15932 16.6779i 0.297855 1.19433i
\(196\) −11.2439 9.43477i −0.803137 0.673912i
\(197\) 10.1316 + 5.84947i 0.721845 + 0.416757i 0.815431 0.578854i \(-0.196500\pi\)
−0.0935863 + 0.995611i \(0.529833\pi\)
\(198\) −0.100960 0.475260i −0.00717491 0.0337753i
\(199\) −5.06800 + 1.84460i −0.359261 + 0.130760i −0.515343 0.856984i \(-0.672336\pi\)
0.156083 + 0.987744i \(0.450113\pi\)
\(200\) 5.05766 28.6834i 0.357630 2.02822i
\(201\) −8.19814 11.2852i −0.578252 0.795997i
\(202\) 13.6311i 0.959078i
\(203\) −9.25523 + 3.36863i −0.649590 + 0.236431i
\(204\) 30.2067 31.2762i 2.11490 2.18977i
\(205\) −13.3161 36.5856i −0.930035 2.55525i
\(206\) 25.1163 4.42868i 1.74993 0.308561i
\(207\) −7.09607 5.54543i −0.493211 0.385434i
\(208\) 4.54279i 0.314986i
\(209\) −0.135528 + 0.266453i −0.00937470 + 0.0184309i
\(210\) 14.6499 + 20.1664i 1.01094 + 1.39161i
\(211\) −1.39187 + 0.245425i −0.0958204 + 0.0168957i −0.221353 0.975194i \(-0.571047\pi\)
0.125532 + 0.992090i \(0.459936\pi\)
\(212\) 23.1464 19.4221i 1.58970 1.33392i
\(213\) 4.87814 + 10.0032i 0.334245 + 0.685408i
\(214\) 4.91506 + 27.8747i 0.335987 + 1.90548i
\(215\) −13.8903 2.44923i −0.947310 0.167036i
\(216\) 18.9232 + 4.02583i 1.28756 + 0.273923i
\(217\) −3.78646 + 2.18611i −0.257042 + 0.148403i
\(218\) −6.05848 1.06827i −0.410332 0.0723526i
\(219\) −12.7821 0.894584i −0.863733 0.0604504i
\(220\) 0.439182 0.760685i 0.0296096 0.0512854i
\(221\) 19.4518 1.30847
\(222\) 28.5786 13.9366i 1.91807 0.935361i
\(223\) 7.70442 1.35850i 0.515926 0.0909716i 0.0903779 0.995908i \(-0.471193\pi\)
0.425548 + 0.904936i \(0.360081\pi\)
\(224\) −4.66144 3.91141i −0.311456 0.261342i
\(225\) 8.78862 + 21.7601i 0.585908 + 1.45068i
\(226\) −43.9025 15.9792i −2.92035 1.06292i
\(227\) 13.4006 23.2105i 0.889428 1.54053i 0.0488758 0.998805i \(-0.484436\pi\)
0.840553 0.541730i \(-0.182231\pi\)
\(228\) −17.0072 20.9745i −1.12633 1.38907i
\(229\) 4.04261 + 7.00201i 0.267143 + 0.462706i 0.968123 0.250476i \(-0.0805870\pi\)
−0.700980 + 0.713181i \(0.747254\pi\)
\(230\) −4.40810 24.9996i −0.290662 1.64842i
\(231\) 0.0557095 + 0.194326i 0.00366542 + 0.0127857i
\(232\) −20.2488 + 7.36995i −1.32940 + 0.483861i
\(233\) 5.38901 + 6.42237i 0.353046 + 0.420743i 0.913115 0.407702i \(-0.133670\pi\)
−0.560069 + 0.828446i \(0.689225\pi\)
\(234\) 10.4023 + 16.6516i 0.680017 + 1.08855i
\(235\) 1.29800 2.24820i 0.0846722 0.146657i
\(236\) −39.8662 −2.59507
\(237\) 15.3971 + 10.3868i 1.00015 + 0.674696i
\(238\) −18.1316 + 21.6084i −1.17530 + 1.40066i
\(239\) −17.2827 9.97818i −1.11793 0.645435i −0.177056 0.984201i \(-0.556657\pi\)
−0.940871 + 0.338766i \(0.889991\pi\)
\(240\) 5.97532 + 8.22537i 0.385706 + 0.530945i
\(241\) 4.31692 5.14471i 0.278078 0.331400i −0.608870 0.793270i \(-0.708377\pi\)
0.886948 + 0.461870i \(0.152821\pi\)
\(242\) −19.8906 + 16.6902i −1.27862 + 1.07289i
\(243\) −14.6500 + 5.32716i −0.939796 + 0.341737i
\(244\) 1.21062 + 6.86575i 0.0775018 + 0.439534i
\(245\) 9.44587 + 11.2572i 0.603475 + 0.719193i
\(246\) 40.6258 + 18.0907i 2.59021 + 1.15342i
\(247\) 1.46375 11.9911i 0.0931363 0.762974i
\(248\) −8.28409 + 4.78282i −0.526040 + 0.303710i
\(249\) −0.166742 0.581629i −0.0105668 0.0368593i
\(250\) −8.16363 + 22.4294i −0.516313 + 1.41856i
\(251\) 15.1000 17.9955i 0.953103 1.13586i −0.0375279 0.999296i \(-0.511948\pi\)
0.990631 0.136568i \(-0.0436073\pi\)
\(252\) −18.0825 2.54355i −1.13909 0.160229i
\(253\) 0.0357506 0.202752i 0.00224762 0.0127469i
\(254\) −2.28095 + 1.31691i −0.143120 + 0.0826302i
\(255\) −35.2203 + 25.5858i −2.20558 + 1.60225i
\(256\) −19.1808 16.0946i −1.19880 1.00591i
\(257\) 6.19757 + 5.20038i 0.386594 + 0.324391i 0.815285 0.579061i \(-0.196581\pi\)
−0.428691 + 0.903451i \(0.641025\pi\)
\(258\) 13.0345 9.46894i 0.811495 0.589511i
\(259\) −11.4568 + 6.61461i −0.711893 + 0.411012i
\(260\) −6.16354 + 34.9552i −0.382247 + 2.16783i
\(261\) 10.6910 13.6804i 0.661754 0.846797i
\(262\) −0.0169437 + 0.0201927i −0.00104679 + 0.00124751i
\(263\) −6.23810 + 17.1390i −0.384658 + 1.05684i 0.584714 + 0.811240i \(0.301207\pi\)
−0.969372 + 0.245599i \(0.921015\pi\)
\(264\) 0.121882 + 0.425151i 0.00750134 + 0.0261662i
\(265\) −26.1982 + 15.1255i −1.60934 + 0.929153i
\(266\) 11.9561 + 12.8033i 0.733075 + 0.785018i
\(267\) −8.03519 3.57808i −0.491745 0.218975i
\(268\) 18.5147 + 22.0650i 1.13097 + 1.34783i
\(269\) −1.90392 10.7977i −0.116084 0.658347i −0.986208 0.165513i \(-0.947072\pi\)
0.870123 0.492834i \(-0.164039\pi\)
\(270\) −40.7373 16.4675i −2.47919 1.00218i
\(271\) 7.63501 6.40653i 0.463794 0.389169i −0.380731 0.924686i \(-0.624328\pi\)
0.844525 + 0.535517i \(0.179883\pi\)
\(272\) −7.39544 + 8.81354i −0.448414 + 0.534399i
\(273\) −4.80121 6.60914i −0.290583 0.400003i
\(274\) 6.67210 + 3.85214i 0.403076 + 0.232716i
\(275\) −0.344848 + 0.410974i −0.0207951 + 0.0247827i
\(276\) 15.4170 + 10.4003i 0.927996 + 0.626022i
\(277\) −5.65714 −0.339905 −0.169952 0.985452i \(-0.554361\pi\)
−0.169952 + 0.985452i \(0.554361\pi\)
\(278\) −10.0881 + 17.4731i −0.605043 + 1.04796i
\(279\) 3.61924 6.80482i 0.216678 0.407394i
\(280\) −14.5847 17.3813i −0.871601 1.03873i
\(281\) 8.00493 2.91356i 0.477534 0.173808i −0.0920282 0.995756i \(-0.529335\pi\)
0.569562 + 0.821948i \(0.307113\pi\)
\(282\) 0.817167 + 2.85045i 0.0486616 + 0.169742i
\(283\) 2.85192 + 16.1740i 0.169529 + 0.961446i 0.944271 + 0.329169i \(0.106769\pi\)
−0.774742 + 0.632277i \(0.782120\pi\)
\(284\) −11.4909 19.9028i −0.681858 1.18101i
\(285\) 13.1220 + 23.6369i 0.777283 + 1.40013i
\(286\) −0.224418 + 0.388704i −0.0132701 + 0.0229845i
\(287\) −17.3875 6.32852i −1.02635 0.373560i
\(288\) 10.6223 + 1.49417i 0.625925 + 0.0880448i
\(289\) −24.7160 20.7392i −1.45388 1.21995i
\(290\) 48.1963 8.49832i 2.83019 0.499038i
\(291\) −5.92765 + 2.89067i −0.347485 + 0.169454i
\(292\) 26.4594 1.54842
\(293\) 11.7033 20.2707i 0.683714 1.18423i −0.290125 0.956989i \(-0.593697\pi\)
0.973839 0.227238i \(-0.0729696\pi\)
\(294\) −16.7445 1.17190i −0.976560 0.0683468i
\(295\) 39.3068 + 6.93085i 2.28853 + 0.403530i
\(296\) −25.0655 + 14.4716i −1.45690 + 0.841143i
\(297\) −0.264784 0.238499i −0.0153643 0.0138391i
\(298\) −2.17215 0.383009i −0.125829 0.0221871i
\(299\) 1.44467 + 8.19314i 0.0835475 + 0.473821i
\(300\) −21.2413 43.5577i −1.22636 2.51480i
\(301\) −5.13499 + 4.30877i −0.295976 + 0.248353i
\(302\) 29.1748 5.14430i 1.67882 0.296021i
\(303\) −5.87605 8.08872i −0.337571 0.464685i
\(304\) 4.87660 + 5.22214i 0.279692 + 0.299510i
\(305\) 6.97986i 0.399666i
\(306\) 6.92632 49.2403i 0.395951 2.81488i
\(307\) 0.718463 0.126684i 0.0410048 0.00723026i −0.153108 0.988209i \(-0.548928\pi\)
0.194113 + 0.980979i \(0.437817\pi\)
\(308\) −0.142775 0.392271i −0.00813535 0.0223517i
\(309\) 12.9950 13.4551i 0.739259 0.765433i
\(310\) 20.4150 7.43046i 1.15950 0.422022i
\(311\) 4.00327i 0.227005i 0.993538 + 0.113502i \(0.0362069\pi\)
−0.993538 + 0.113502i \(0.963793\pi\)
\(312\) −10.5042 14.4596i −0.594683 0.818614i
\(313\) −0.440938 + 2.50068i −0.0249233 + 0.141347i −0.994730 0.102527i \(-0.967307\pi\)
0.969807 + 0.243874i \(0.0784183\pi\)
\(314\) 25.8663 9.41457i 1.45972 0.531295i
\(315\) 17.3866 + 5.65155i 0.979622 + 0.318429i
\(316\) −33.2147 19.1765i −1.86847 1.07876i
\(317\) 24.5334 + 20.5860i 1.37793 + 1.15622i 0.969970 + 0.243226i \(0.0782055\pi\)
0.407964 + 0.912998i \(0.366239\pi\)
\(318\) 8.36140 33.5272i 0.468884 1.88011i
\(319\) 0.390882 + 0.0689230i 0.0218852 + 0.00385895i
\(320\) 26.9815 + 32.1552i 1.50831 + 1.79753i
\(321\) 14.9328 + 14.4222i 0.833468 + 0.804967i
\(322\) −10.4481 6.03222i −0.582250 0.336162i
\(323\) −22.3607 + 20.8812i −1.24418 + 1.16186i
\(324\) 29.4101 13.0858i 1.63390 0.726986i
\(325\) 7.41478 20.3719i 0.411298 1.13003i
\(326\) −39.2983 14.3034i −2.17653 0.792192i
\(327\) −4.05563 + 1.97776i −0.224277 + 0.109371i
\(328\) −38.0406 13.8456i −2.10044 0.764498i
\(329\) −0.421971 1.15935i −0.0232640 0.0639173i
\(330\) −0.104937 0.998990i −0.00577661 0.0549926i
\(331\) 25.6998i 1.41259i 0.707919 + 0.706293i \(0.249634\pi\)
−0.707919 + 0.706293i \(0.750366\pi\)
\(332\) 0.427333 + 1.17409i 0.0234529 + 0.0644364i
\(333\) 10.9509 20.5896i 0.600104 1.12830i
\(334\) 1.34801 + 2.33483i 0.0737600 + 0.127756i
\(335\) −14.4189 24.9742i −0.787786 1.36449i
\(336\) 4.81996 + 0.337336i 0.262950 + 0.0184032i
\(337\) −4.70694 + 12.9322i −0.256404 + 0.704463i 0.742979 + 0.669315i \(0.233412\pi\)
−0.999382 + 0.0351479i \(0.988810\pi\)
\(338\) −2.18138 + 12.3712i −0.118652 + 0.672907i
\(339\) −32.9402 + 9.44331i −1.78907 + 0.512890i
\(340\) 68.8633 57.7832i 3.73464 3.13373i
\(341\) 0.176196 0.00954154
\(342\) −29.8330 7.97507i −1.61318 0.431242i
\(343\) 18.8967 1.02033
\(344\) −11.2344 + 9.42681i −0.605720 + 0.508259i
\(345\) −13.3926 12.9346i −0.721031 0.696376i
\(346\) −0.365705 + 2.07402i −0.0196604 + 0.111500i
\(347\) 0.882518 2.42470i 0.0473761 0.130165i −0.913748 0.406281i \(-0.866825\pi\)
0.961124 + 0.276117i \(0.0890476\pi\)
\(348\) −20.0505 + 29.7223i −1.07482 + 1.59328i
\(349\) 2.91543 + 5.04967i 0.156059 + 0.270303i 0.933444 0.358723i \(-0.116788\pi\)
−0.777385 + 0.629025i \(0.783454\pi\)
\(350\) 15.7190 + 27.2261i 0.840216 + 1.45530i
\(351\) 13.3509 + 5.39690i 0.712616 + 0.288065i
\(352\) 0.0838708 + 0.230433i 0.00447033 + 0.0122821i
\(353\) 15.5640i 0.828389i 0.910188 + 0.414195i \(0.135937\pi\)
−0.910188 + 0.414195i \(0.864063\pi\)
\(354\) −36.8852 + 26.7953i −1.96042 + 1.42415i
\(355\) 7.86947 + 21.6212i 0.417668 + 1.14753i
\(356\) 17.0679 + 6.21222i 0.904598 + 0.329247i
\(357\) −1.44444 + 20.6386i −0.0764480 + 1.09231i
\(358\) −32.8519 11.9571i −1.73628 0.631953i
\(359\) 3.60821 9.91347i 0.190434 0.523213i −0.807326 0.590105i \(-0.799086\pi\)
0.997760 + 0.0668923i \(0.0213084\pi\)
\(360\) 38.0387 + 12.3646i 2.00481 + 0.651670i
\(361\) 11.1896 + 15.3556i 0.588924 + 0.808189i
\(362\) −12.8175 7.40017i −0.673671 0.388944i
\(363\) −4.60837 + 18.4784i −0.241877 + 0.969866i
\(364\) 10.8431 + 12.9223i 0.568333 + 0.677312i
\(365\) −26.0881 4.60003i −1.36551 0.240777i
\(366\) 5.73476 + 5.53866i 0.299761 + 0.289510i
\(367\) 8.48054 + 7.11602i 0.442681 + 0.371453i 0.836711 0.547644i \(-0.184475\pi\)
−0.394031 + 0.919097i \(0.628920\pi\)
\(368\) −4.26153 2.46039i −0.222148 0.128257i
\(369\) 31.9060 6.77782i 1.66096 0.352839i
\(370\) 61.7705 22.4826i 3.21130 1.16882i
\(371\) −2.49653 + 14.1585i −0.129613 + 0.735073i
\(372\) −6.47439 + 14.5394i −0.335682 + 0.753831i
\(373\) 31.3106i 1.62120i −0.585599 0.810601i \(-0.699141\pi\)
0.585599 0.810601i \(-0.300859\pi\)
\(374\) 1.06819 0.388788i 0.0552347 0.0201038i
\(375\) 4.82449 + 16.8288i 0.249136 + 0.869037i
\(376\) −0.923196 2.53646i −0.0476102 0.130808i
\(377\) −15.7954 + 2.78516i −0.813506 + 0.143443i
\(378\) −18.4400 + 9.80043i −0.948450 + 0.504080i
\(379\) 27.4978i 1.41247i −0.707979 0.706234i \(-0.750393\pi\)
0.707979 0.706234i \(-0.249607\pi\)
\(380\) −30.4385 46.7990i −1.56146 2.40074i
\(381\) −0.785834 + 1.76473i −0.0402595 + 0.0904097i
\(382\) −44.7743 + 7.89492i −2.29085 + 0.403939i
\(383\) −14.5449 + 12.2046i −0.743211 + 0.623628i −0.933698 0.358062i \(-0.883438\pi\)
0.190487 + 0.981690i \(0.438993\pi\)
\(384\) −35.4734 2.48269i −1.81024 0.126694i
\(385\) 0.0725740 + 0.411587i 0.00369871 + 0.0209764i
\(386\) 32.1965 + 5.67711i 1.63876 + 0.288957i
\(387\) 3.65288 11.2378i 0.185686 0.571250i
\(388\) 11.7939 6.80922i 0.598745 0.345686i
\(389\) −27.3570 4.82378i −1.38706 0.244575i −0.570242 0.821477i \(-0.693150\pi\)
−0.816813 + 0.576902i \(0.804262\pi\)
\(390\) 17.7917 + 36.4840i 0.900919 + 1.84744i
\(391\) 10.5352 18.2475i 0.532788 0.922815i
\(392\) 15.2796 0.771736
\(393\) −0.00134981 + 0.0192865i −6.80890e−5 + 0.000972876i
\(394\) −27.2073 + 4.79738i −1.37068 + 0.241688i
\(395\) 29.4147 + 24.6818i 1.48001 + 1.24188i
\(396\) 0.579826 + 0.453122i 0.0291374 + 0.0227703i
\(397\) 15.9016 + 5.78772i 0.798080 + 0.290477i 0.708690 0.705520i \(-0.249286\pi\)
0.0893892 + 0.995997i \(0.471509\pi\)
\(398\) 6.36807 11.0298i 0.319203 0.552875i
\(399\) 12.6140 + 2.44349i 0.631490 + 0.122327i
\(400\) 6.41140 + 11.1049i 0.320570 + 0.555243i
\(401\) −0.579010 3.28373i −0.0289144 0.163982i 0.966932 0.255036i \(-0.0820874\pi\)
−0.995846 + 0.0910545i \(0.970976\pi\)
\(402\) 31.9608 + 7.97076i 1.59406 + 0.397545i
\(403\) −6.69064 + 2.43519i −0.333284 + 0.121306i
\(404\) 13.2705 + 15.8152i 0.660233 + 0.786835i
\(405\) −31.2724 + 7.78909i −1.55394 + 0.387043i
\(406\) 11.6294 20.1428i 0.577159 0.999669i
\(407\) 0.533123 0.0264259
\(408\) −3.16018 + 45.1536i −0.156452 + 2.23544i
\(409\) 14.4682 17.2425i 0.715405 0.852587i −0.278771 0.960358i \(-0.589927\pi\)
0.994176 + 0.107771i \(0.0343714\pi\)
\(410\) 79.6237 + 45.9708i 3.93233 + 2.27033i
\(411\) 5.61982 0.590324i 0.277205 0.0291186i
\(412\) −24.8292 + 29.5903i −1.22325 + 1.45781i
\(413\) 14.5310 12.1930i 0.715024 0.599977i
\(414\) 21.2545 0.739662i 1.04460 0.0363524i
\(415\) −0.217218 1.23190i −0.0106628 0.0604718i
\(416\) −6.36961 7.59100i −0.312296 0.372179i
\(417\) 1.54596 + 14.7173i 0.0757059 + 0.720711i
\(418\) −0.159287 0.687741i −0.00779100 0.0336385i
\(419\) 6.84253 3.95053i 0.334279 0.192996i −0.323460 0.946242i \(-0.604846\pi\)
0.657739 + 0.753246i \(0.271513\pi\)
\(420\) −36.6302 9.13528i −1.78737 0.445756i
\(421\) −0.951687 + 2.61474i −0.0463824 + 0.127435i −0.960721 0.277516i \(-0.910489\pi\)
0.914339 + 0.404950i \(0.132711\pi\)
\(422\) 2.14537 2.55675i 0.104435 0.124461i
\(423\) 1.71368 + 1.33920i 0.0833218 + 0.0651143i
\(424\) −5.46195 + 30.9762i −0.265256 + 1.50434i
\(425\) −47.5501 + 27.4530i −2.30652 + 1.33167i
\(426\) −24.0089 10.6912i −1.16323 0.517989i
\(427\) −2.54113 2.13226i −0.122974 0.103187i
\(428\) −32.8400 27.5561i −1.58738 1.33197i
\(429\) 0.0343912 + 0.327400i 0.00166042 + 0.0158070i
\(430\) 28.8455 16.6539i 1.39105 0.803124i
\(431\) 2.52762 14.3348i 0.121751 0.690485i −0.861434 0.507870i \(-0.830433\pi\)
0.983185 0.182614i \(-0.0584560\pi\)
\(432\) −7.52121 + 3.99736i −0.361865 + 0.192323i
\(433\) −21.0433 + 25.0784i −1.01128 + 1.20519i −0.0326658 + 0.999466i \(0.510400\pi\)
−0.978610 + 0.205725i \(0.934045\pi\)
\(434\) 3.53136 9.70232i 0.169511 0.465726i
\(435\) 24.9364 25.8193i 1.19561 1.23794i
\(436\) 8.06926 4.65879i 0.386448 0.223116i
\(437\) −10.4559 7.86754i −0.500173 0.376356i
\(438\) 24.4809 17.7841i 1.16974 0.849759i
\(439\) −1.20863 1.44038i −0.0576845 0.0687458i 0.736431 0.676513i \(-0.236510\pi\)
−0.794115 + 0.607767i \(0.792065\pi\)
\(440\) 0.158779 + 0.900479i 0.00756948 + 0.0429287i
\(441\) −10.4414 + 6.52279i −0.497211 + 0.310609i
\(442\) −35.1886 + 29.5267i −1.67375 + 1.40444i
\(443\) 12.5216 14.9226i 0.594917 0.708994i −0.381626 0.924317i \(-0.624636\pi\)
0.976543 + 0.215322i \(0.0690802\pi\)
\(444\) −19.5898 + 43.9923i −0.929691 + 2.08778i
\(445\) −15.7484 9.09234i −0.746545 0.431018i
\(446\) −11.8753 + 14.1524i −0.562310 + 0.670134i
\(447\) −1.45407 + 0.709089i −0.0687751 + 0.0335387i
\(448\) 19.9491 0.942507
\(449\) −1.89892 + 3.28902i −0.0896154 + 0.155218i −0.907349 0.420379i \(-0.861897\pi\)
0.817733 + 0.575597i \(0.195230\pi\)
\(450\) −48.9293 26.0237i −2.30655 1.22677i
\(451\) 0.479304 + 0.571212i 0.0225695 + 0.0268973i
\(452\) 66.4937 24.2017i 3.12760 1.13835i
\(453\) 15.0948 15.6293i 0.709216 0.734326i
\(454\) 10.9903 + 62.3293i 0.515802 + 2.92526i
\(455\) −8.44436 14.6261i −0.395878 0.685680i
\(456\) 27.5971 + 5.34591i 1.29235 + 0.250345i
\(457\) 6.13044 10.6182i 0.286770 0.496700i −0.686267 0.727350i \(-0.740752\pi\)
0.973037 + 0.230650i \(0.0740851\pi\)
\(458\) −17.9418 6.53027i −0.838363 0.305139i
\(459\) −17.1163 32.2052i −0.798922 1.50321i
\(460\) 29.4528 + 24.7138i 1.37324 + 1.15229i
\(461\) −30.9667 + 5.46026i −1.44226 + 0.254310i −0.839390 0.543529i \(-0.817088\pi\)
−0.602871 + 0.797839i \(0.705977\pi\)
\(462\) −0.395755 0.266975i −0.0184122 0.0124208i
\(463\) 18.1595 0.843941 0.421971 0.906609i \(-0.361339\pi\)
0.421971 + 0.906609i \(0.361339\pi\)
\(464\) 4.74336 8.21574i 0.220205 0.381406i
\(465\) 8.91124 13.2097i 0.413249 0.612587i
\(466\) −19.4975 3.43794i −0.903206 0.159260i
\(467\) −33.3722 + 19.2674i −1.54428 + 0.891591i −0.545719 + 0.837968i \(0.683744\pi\)
−0.998561 + 0.0536229i \(0.982923\pi\)
\(468\) −28.2802 9.19255i −1.30725 0.424926i
\(469\) −13.4970 2.37989i −0.623234 0.109893i
\(470\) 1.06454 + 6.03731i 0.0491036 + 0.278480i
\(471\) 11.2908 16.7371i 0.520250 0.771203i
\(472\) 31.7912 26.6760i 1.46331 1.22786i
\(473\) 0.266030 0.0469082i 0.0122321 0.00215684i
\(474\) −43.6201 + 4.58200i −2.00354 + 0.210458i
\(475\) 13.3453 + 31.3781i 0.612323 + 1.43972i
\(476\) 42.7228i 1.95820i
\(477\) −9.49115 23.4996i −0.434570 1.07597i
\(478\) 46.4109 8.18350i 2.12279 0.374304i
\(479\) 6.27057 + 17.2282i 0.286510 + 0.787179i 0.996548 + 0.0830160i \(0.0264553\pi\)
−0.710039 + 0.704163i \(0.751323\pi\)
\(480\) 21.5178 + 5.36638i 0.982151 + 0.244940i
\(481\) −20.2441 + 7.36826i −0.923052 + 0.335964i
\(482\) 15.8597i 0.722388i
\(483\) −8.80030 + 0.924413i −0.400428 + 0.0420623i
\(484\) 6.82897 38.7290i 0.310408 1.76041i
\(485\) −12.8122 + 4.66326i −0.581772 + 0.211748i
\(486\) 18.4156 31.8747i 0.835350 1.44586i
\(487\) −4.94599 2.85557i −0.224124 0.129398i 0.383734 0.923444i \(-0.374638\pi\)
−0.607859 + 0.794045i \(0.707971\pi\)
\(488\) −5.55953 4.66500i −0.251668 0.211175i
\(489\) −29.4856 + 8.45294i −1.33339 + 0.382255i
\(490\) −34.1754 6.02604i −1.54389 0.272229i
\(491\) 1.35643 + 1.61653i 0.0612149 + 0.0729531i 0.795783 0.605582i \(-0.207060\pi\)
−0.734568 + 0.678535i \(0.762615\pi\)
\(492\) −64.7476 + 18.5618i −2.91905 + 0.836833i
\(493\) 35.1791 + 20.3106i 1.58439 + 0.914746i
\(494\) 15.5538 + 23.9139i 0.699799 + 1.07594i
\(495\) −0.492913 0.547568i −0.0221548 0.0246113i
\(496\) 1.44035 3.95734i 0.0646738 0.177690i
\(497\) 10.2756 + 3.74000i 0.460922 + 0.167762i
\(498\) 1.18452 + 0.799070i 0.0530794 + 0.0358072i
\(499\) −5.97530 2.17483i −0.267491 0.0973587i 0.204793 0.978805i \(-0.434348\pi\)
−0.472284 + 0.881447i \(0.656570\pi\)
\(500\) −12.3644 33.9710i −0.552954 1.51923i
\(501\) 1.80641 + 0.804395i 0.0807044 + 0.0359377i
\(502\) 55.4749i 2.47596i
\(503\) 0.199225 + 0.547365i 0.00888299 + 0.0244058i 0.944055 0.329788i \(-0.106977\pi\)
−0.935172 + 0.354194i \(0.884755\pi\)
\(504\) 16.1218 10.0713i 0.718124 0.448614i
\(505\) −10.3348 17.9004i −0.459892 0.796556i
\(506\) 0.243092 + 0.421047i 0.0108067 + 0.0187178i
\(507\) 4.03853 + 8.28149i 0.179358 + 0.367794i
\(508\) 1.36436 3.74854i 0.0605336 0.166315i
\(509\) 2.67718 15.1830i 0.118664 0.672976i −0.866207 0.499686i \(-0.833449\pi\)
0.984871 0.173291i \(-0.0554400\pi\)
\(510\) 24.8762 99.7473i 1.10154 4.41689i
\(511\) −9.64430 + 8.09253i −0.426639 + 0.357992i
\(512\) 18.0675 0.798477
\(513\) −21.1409 + 8.12792i −0.933393 + 0.358857i
\(514\) −19.1053 −0.842700
\(515\) 29.6251 24.8584i 1.30544 1.09539i
\(516\) −5.90459 + 23.6759i −0.259935 + 1.04228i
\(517\) −0.00863364 + 0.0489638i −0.000379707 + 0.00215343i
\(518\) 10.6850 29.3567i 0.469470 1.28986i
\(519\) 0.677053 + 1.38838i 0.0297193 + 0.0609430i
\(520\) −18.4747 31.9992i −0.810170 1.40326i
\(521\) −9.57944 16.5921i −0.419683 0.726912i 0.576225 0.817291i \(-0.304525\pi\)
−0.995907 + 0.0903794i \(0.971192\pi\)
\(522\) 1.42598 + 40.9763i 0.0624136 + 1.79348i
\(523\) −3.22775 8.86817i −0.141140 0.387778i 0.848902 0.528550i \(-0.177264\pi\)
−0.990042 + 0.140771i \(0.955042\pi\)
\(524\) 0.0399238i 0.00174408i
\(525\) 21.0643 + 9.37995i 0.919321 + 0.409374i
\(526\) −14.7312 40.4738i −0.642313 1.76474i
\(527\) 16.9450 + 6.16747i 0.738135 + 0.268659i
\(528\) −0.161419 0.108892i −0.00702485 0.00473894i
\(529\) −13.1446 4.78425i −0.571505 0.208011i
\(530\) 24.4331 67.1295i 1.06131 2.91592i
\(531\) −10.3369 + 31.8008i −0.448585 + 1.38004i
\(532\) −26.3365 3.21489i −1.14183 0.139383i
\(533\) −26.0951 15.0660i −1.13031 0.652583i
\(534\) 19.9670 5.72416i 0.864058 0.247708i
\(535\) 27.5885 + 32.8787i 1.19275 + 1.42147i
\(536\) −29.5290 5.20677i −1.27546 0.224898i
\(537\) −24.6489 + 7.06635i −1.06368 + 0.304935i
\(538\) 19.8345 + 16.6431i 0.855125 + 0.717535i
\(539\) −0.243738 0.140722i −0.0104986 0.00606135i
\(540\) 63.2966 20.5537i 2.72385 0.884489i
\(541\) 25.2382 9.18594i 1.08507 0.394934i 0.263280 0.964720i \(-0.415196\pi\)
0.821794 + 0.569785i \(0.192974\pi\)
\(542\) −4.08708 + 23.1790i −0.175555 + 0.995622i
\(543\) −10.7960 + 1.13405i −0.463300 + 0.0486666i
\(544\) 25.0968i 1.07602i
\(545\) −8.76597 + 3.19055i −0.375493 + 0.136668i
\(546\) 18.7177 + 4.66805i 0.801045 + 0.199774i
\(547\) −3.74695 10.2947i −0.160208 0.440168i 0.833452 0.552591i \(-0.186361\pi\)
−0.993660 + 0.112423i \(0.964139\pi\)
\(548\) −11.4914 + 2.02625i −0.490889 + 0.0865570i
\(549\) 5.79062 + 0.814529i 0.247138 + 0.0347633i
\(550\) 1.26692i 0.0540215i
\(551\) 15.1677 20.1578i 0.646167 0.858750i
\(552\) −19.2535 + 2.02245i −0.819482 + 0.0860812i
\(553\) 17.9716 3.16888i 0.764231 0.134755i
\(554\) 10.2338 8.58720i 0.434794 0.364835i
\(555\) 26.9631 39.9692i 1.14452 1.69660i
\(556\) −5.30639 30.0940i −0.225041 1.27627i
\(557\) −17.4664 3.07981i −0.740077 0.130496i −0.209115 0.977891i \(-0.567058\pi\)
−0.530962 + 0.847396i \(0.678169\pi\)
\(558\) 3.78207 + 17.8038i 0.160108 + 0.753694i
\(559\) −9.45355 + 5.45801i −0.399843 + 0.230849i
\(560\) 9.83748 + 1.73461i 0.415710 + 0.0733008i
\(561\) 0.466268 0.691181i 0.0196858 0.0291817i
\(562\) −10.0584 + 17.4217i −0.424288 + 0.734888i
\(563\) −19.1862 −0.808602 −0.404301 0.914626i \(-0.632485\pi\)
−0.404301 + 0.914626i \(0.632485\pi\)
\(564\) −3.72316 2.51163i −0.156773 0.105759i
\(565\) −69.7681 + 12.3020i −2.93517 + 0.517549i
\(566\) −29.7104 24.9300i −1.24882 1.04788i
\(567\) −6.71759 + 13.7647i −0.282112 + 0.578062i
\(568\) 22.4811 + 8.18244i 0.943285 + 0.343327i
\(569\) 4.66952 8.08785i 0.195757 0.339060i −0.751392 0.659856i \(-0.770617\pi\)
0.947148 + 0.320796i \(0.103950\pi\)
\(570\) −59.6173 22.8409i −2.49709 0.956701i
\(571\) −15.2479 26.4101i −0.638105 1.10523i −0.985848 0.167640i \(-0.946385\pi\)
0.347743 0.937590i \(-0.386948\pi\)
\(572\) −0.118045 0.669469i −0.00493573 0.0279919i
\(573\) −23.1659 + 23.9861i −0.967769 + 1.00203i
\(574\) 41.0604 14.9448i 1.71383 0.623782i
\(575\) −15.0948 17.9892i −0.629495 0.750203i
\(576\) −29.8252 + 18.6319i −1.24272 + 0.776328i
\(577\) 9.96919 17.2671i 0.415023 0.718841i −0.580408 0.814326i \(-0.697107\pi\)
0.995431 + 0.0954852i \(0.0304403\pi\)
\(578\) 76.1925 3.16919
\(579\) 21.5528 10.5104i 0.895704 0.436797i
\(580\) −47.6454 + 56.7816i −1.97837 + 2.35773i
\(581\) −0.514851 0.297249i −0.0213596 0.0123320i
\(582\) 6.33533 14.2271i 0.262608 0.589731i
\(583\) 0.372414 0.443826i 0.0154238 0.0183814i
\(584\) −21.1000 + 17.7050i −0.873124 + 0.732638i
\(585\) 26.2852 + 13.9801i 1.08676 + 0.578007i
\(586\) 9.59833 + 54.4348i 0.396503 + 2.24868i
\(587\) −28.1528 33.5512i −1.16199 1.38481i −0.908716 0.417414i \(-0.862936\pi\)
−0.253276 0.967394i \(-0.581508\pi\)
\(588\) 20.5684 14.9419i 0.848228 0.616196i
\(589\) 5.07705 9.98163i 0.209196 0.411286i
\(590\) −81.6270 + 47.1274i −3.36053 + 1.94020i
\(591\) −14.0769 + 14.5752i −0.579044 + 0.599546i
\(592\) 4.35814 11.9739i 0.179118 0.492123i
\(593\) 21.7722 25.9471i 0.894077 1.06552i −0.103408 0.994639i \(-0.532975\pi\)
0.997485 0.0708804i \(-0.0225809\pi\)
\(594\) 0.841025 + 0.0295213i 0.0345077 + 0.00121127i
\(595\) −7.42746 + 42.1232i −0.304496 + 1.72688i
\(596\) 2.89308 1.67032i 0.118505 0.0684190i
\(597\) −0.975882 9.29027i −0.0399402 0.380226i
\(598\) −15.0501 12.6285i −0.615445 0.516420i
\(599\) 23.5890 + 19.7935i 0.963820 + 0.808741i 0.981570 0.191101i \(-0.0612059\pi\)
−0.0177500 + 0.999842i \(0.505650\pi\)
\(600\) 46.0849 + 20.5216i 1.88141 + 0.837792i
\(601\) 12.5543 7.24824i 0.512101 0.295662i −0.221596 0.975139i \(-0.571127\pi\)
0.733697 + 0.679477i \(0.237793\pi\)
\(602\) 2.74880 15.5892i 0.112033 0.635369i
\(603\) 22.4017 9.04772i 0.912266 0.368452i
\(604\) −28.8413 + 34.3717i −1.17353 + 1.39856i
\(605\) −13.4663 + 36.9983i −0.547482 + 1.50419i
\(606\) 22.9080 + 5.71308i 0.930575 + 0.232078i
\(607\) −10.7115 + 6.18431i −0.434768 + 0.251013i −0.701376 0.712792i \(-0.747430\pi\)
0.266608 + 0.963805i \(0.414097\pi\)
\(608\) 15.4709 + 1.88854i 0.627429 + 0.0765903i
\(609\) −1.78216 16.9660i −0.0722169 0.687496i
\(610\) 10.5950 + 12.6267i 0.428980 + 0.511238i
\(611\) −0.348883 1.97861i −0.0141143 0.0800461i
\(612\) 39.9018 + 63.8733i 1.61293 + 2.58193i
\(613\) 28.4226 23.8494i 1.14798 0.963268i 0.148308 0.988941i \(-0.452617\pi\)
0.999670 + 0.0256733i \(0.00817296\pi\)
\(614\) −1.10741 + 1.31976i −0.0446913 + 0.0532611i
\(615\) 67.0660 7.04483i 2.70436 0.284075i
\(616\) 0.376338 + 0.217279i 0.0151631 + 0.00875442i
\(617\) −19.6829 + 23.4572i −0.792404 + 0.944350i −0.999422 0.0339871i \(-0.989179\pi\)
0.207019 + 0.978337i \(0.433624\pi\)
\(618\) −3.08406 + 44.0660i −0.124059 + 1.77259i
\(619\) 22.8389 0.917974 0.458987 0.888443i \(-0.348212\pi\)
0.458987 + 0.888443i \(0.348212\pi\)
\(620\) −16.4522 + 28.4961i −0.660738 + 1.14443i
\(621\) 12.2936 9.60127i 0.493327 0.385286i
\(622\) −6.07673 7.24196i −0.243654 0.290376i
\(623\) −8.12114 + 2.95585i −0.325367 + 0.118424i
\(624\) 7.63451 + 1.90398i 0.305625 + 0.0762204i
\(625\) −0.506966 2.87515i −0.0202787 0.115006i
\(626\) −2.99823 5.19308i −0.119833 0.207557i
\(627\) −0.390992 0.339442i −0.0156147 0.0135560i
\(628\) −20.8454 + 36.1053i −0.831821 + 1.44076i
\(629\) 51.2711 + 18.6611i 2.04431 + 0.744069i
\(630\) −40.0312 + 16.1680i −1.59488 + 0.644150i
\(631\) 19.6728 + 16.5075i 0.783164 + 0.657152i 0.944043 0.329822i \(-0.106989\pi\)
−0.160880 + 0.986974i \(0.551433\pi\)
\(632\) 39.3187 6.93294i 1.56401 0.275778i
\(633\) 0.170910 2.44201i 0.00679305 0.0970612i
\(634\) −75.6295 −3.00363
\(635\) −1.99690 + 3.45874i −0.0792447 + 0.137256i
\(636\) 22.9392 + 47.0395i 0.909599 + 1.86524i
\(637\) 11.2003 + 1.97492i 0.443773 + 0.0782492i
\(638\) −0.811731 + 0.468653i −0.0321367 + 0.0185542i
\(639\) −18.8557 + 4.00552i −0.745919 + 0.158456i
\(640\) −72.4008 12.7662i −2.86189 0.504629i
\(641\) −0.122614 0.695380i −0.00484297 0.0274658i 0.982291 0.187364i \(-0.0599945\pi\)
−0.987133 + 0.159898i \(0.948883\pi\)
\(642\) −48.9056 3.42277i −1.93015 0.135086i
\(643\) 34.0799 28.5965i 1.34398 1.12773i 0.363397 0.931634i \(-0.381617\pi\)
0.980584 0.196100i \(-0.0628276\pi\)
\(644\) 17.9949 3.17299i 0.709098 0.125033i
\(645\) 9.93785 22.3172i 0.391302 0.878737i
\(646\) 8.75444 71.7165i 0.344439 2.82165i
\(647\) 9.57031i 0.376248i 0.982145 + 0.188124i \(0.0602407\pi\)
−0.982145 + 0.188124i \(0.939759\pi\)
\(648\) −14.6969 + 30.1146i −0.577347 + 1.18301i
\(649\) −0.752812 + 0.132741i −0.0295504 + 0.00521054i
\(650\) 17.5100 + 48.1083i 0.686798 + 1.88696i
\(651\) −2.08694 7.27968i −0.0817937 0.285313i
\(652\) 59.5202 21.6636i 2.33099 0.848411i
\(653\) 26.2999i 1.02919i −0.857432 0.514597i \(-0.827942\pi\)
0.857432 0.514597i \(-0.172058\pi\)
\(654\) 4.33456 9.73400i 0.169495 0.380630i
\(655\) −0.00694086 + 0.0393636i −0.000271202 + 0.00153806i
\(656\) 16.7475 6.09560i 0.653881 0.237993i
\(657\) 6.86067 21.1063i 0.267660 0.823436i
\(658\) 2.52318 + 1.45676i 0.0983638 + 0.0567904i
\(659\) 17.1070 + 14.3545i 0.666394 + 0.559171i 0.911996 0.410200i \(-0.134541\pi\)
−0.245602 + 0.969371i \(0.578986\pi\)
\(660\) 1.09432 + 1.05690i 0.0425963 + 0.0411397i
\(661\) −8.11331 1.43060i −0.315571 0.0556437i 0.0136193 0.999907i \(-0.495665\pi\)
−0.329190 + 0.944264i \(0.606776\pi\)
\(662\) −39.0107 46.4911i −1.51619 1.80693i
\(663\) −8.15269 + 32.6903i −0.316624 + 1.26959i
\(664\) −1.12640 0.650328i −0.0437128 0.0252376i
\(665\) 25.4080 + 7.74844i 0.985278 + 0.300471i
\(666\) 11.4436 + 53.8696i 0.443429 + 2.08740i
\(667\) −5.94215 + 16.3259i −0.230081 + 0.632143i
\(668\) −3.83708 1.39658i −0.148461 0.0540354i
\(669\) −0.946035 + 13.5172i −0.0365758 + 0.522606i
\(670\) 63.9932 + 23.2916i 2.47227 + 0.899833i
\(671\) 0.0457212 + 0.125618i 0.00176505 + 0.00484943i
\(672\) 8.52714 6.19455i 0.328942 0.238960i
\(673\) 21.7657i 0.839008i −0.907754 0.419504i \(-0.862204\pi\)
0.907754 0.419504i \(-0.137796\pi\)
\(674\) −11.1154 30.5394i −0.428150 1.17633i
\(675\) −40.2531 + 5.64979i −1.54934 + 0.217460i
\(676\) −9.51312 16.4772i −0.365889 0.633738i
\(677\) −17.5825 30.4538i −0.675751 1.17043i −0.976249 0.216652i \(-0.930486\pi\)
0.300498 0.953782i \(-0.402847\pi\)
\(678\) 45.2548 67.0843i 1.73800 2.57636i
\(679\) −2.21623 + 6.08905i −0.0850512 + 0.233676i
\(680\) −16.2499 + 92.1580i −0.623157 + 3.53410i
\(681\) 33.3905 + 32.2487i 1.27953 + 1.23577i
\(682\) −0.318740 + 0.267455i −0.0122052 + 0.0102414i
\(683\) −14.9200 −0.570898 −0.285449 0.958394i \(-0.592143\pi\)
−0.285449 + 0.958394i \(0.592143\pi\)
\(684\) 42.3773 19.7910i 1.62034 0.756727i
\(685\) 11.6824 0.446363
\(686\) −34.1843 + 28.6841i −1.30516 + 1.09516i
\(687\) −13.4618 + 3.85922i −0.513598 + 0.147238i
\(688\) 1.12117 6.35846i 0.0427441 0.242414i
\(689\) −8.00749 + 22.0004i −0.305061 + 0.838149i
\(690\) 43.8612 + 3.06973i 1.66977 + 0.116863i
\(691\) 18.1022 + 31.3539i 0.688640 + 1.19276i 0.972278 + 0.233828i \(0.0751253\pi\)
−0.283638 + 0.958931i \(0.591541\pi\)
\(692\) −1.59486 2.76237i −0.0606274 0.105010i
\(693\) −0.349929 + 0.0121776i −0.0132927 + 0.000462590i
\(694\) 2.08406 + 5.72592i 0.0791100 + 0.217353i
\(695\) 30.5943i 1.16051i
\(696\) −3.89905 37.1185i −0.147793 1.40697i
\(697\) 26.1008 + 71.7115i 0.988640 + 2.71627i
\(698\) −12.9391 4.70946i −0.489753 0.178256i
\(699\) −13.0519 + 6.36488i −0.493670 + 0.240742i
\(700\) −44.7437 16.2854i −1.69115 0.615529i
\(701\) −14.0704 + 38.6582i −0.531433 + 1.46010i 0.325933 + 0.945393i \(0.394322\pi\)
−0.857366 + 0.514707i \(0.827901\pi\)
\(702\) −32.3440 + 10.5028i −1.22075 + 0.396401i
\(703\) 15.3618 30.2018i 0.579382 1.13908i
\(704\) −0.696221 0.401963i −0.0262398 0.0151496i
\(705\) 3.23426 + 3.12366i 0.121809 + 0.117644i
\(706\) −23.6253 28.1555i −0.889148 1.05965i
\(707\) −9.67405 1.70580i −0.363830 0.0641531i
\(708\) 16.7088 66.9983i 0.627956 2.51795i
\(709\) −21.7969 18.2898i −0.818600 0.686887i 0.134044 0.990975i \(-0.457204\pi\)
−0.952644 + 0.304089i \(0.901648\pi\)
\(710\) −47.0556 27.1676i −1.76597 1.01958i
\(711\) −23.9091 + 21.5226i −0.896661 + 0.807162i
\(712\) −17.7676 + 6.46688i −0.665869 + 0.242356i
\(713\) −1.33926 + 7.59530i −0.0501556 + 0.284446i
\(714\) −28.7152 39.5281i −1.07464 1.47930i
\(715\) 0.680596i 0.0254529i
\(716\) 49.7567 18.1099i 1.85949 0.676800i
\(717\) 24.0127 24.8629i 0.896770 0.928520i
\(718\) 8.52077 + 23.4106i 0.317992 + 0.873677i
\(719\) 12.7557 2.24917i 0.475706 0.0838798i 0.0693456 0.997593i \(-0.477909\pi\)
0.406360 + 0.913713i \(0.366798\pi\)
\(720\) −16.3278 + 6.59455i −0.608499 + 0.245764i
\(721\) 18.3794i 0.684484i
\(722\) −43.5509 10.7933i −1.62080 0.401687i
\(723\) 6.83676 + 9.41118i 0.254262 + 0.350006i
\(724\) 22.0757 3.89253i 0.820436 0.144665i
\(725\) 34.6812 29.1010i 1.28803 1.08078i
\(726\) −19.7126 40.4229i −0.731602 1.50024i
\(727\) 0.223512 + 1.26760i 0.00828960 + 0.0470126i 0.988672 0.150092i \(-0.0479571\pi\)
−0.980382 + 0.197105i \(0.936846\pi\)
\(728\) −17.2936 3.04933i −0.640943 0.113016i
\(729\) −2.81257 26.8531i −0.104169 0.994560i
\(730\) 54.1762 31.2787i 2.00515 1.15768i
\(731\) 27.2264 + 4.80074i 1.00700 + 0.177562i
\(732\) −12.0458 0.843053i −0.445226 0.0311602i
\(733\) 22.0489 38.1898i 0.814395 1.41057i −0.0953663 0.995442i \(-0.530402\pi\)
0.909761 0.415131i \(-0.136264\pi\)
\(734\) −26.1431 −0.964959
\(735\) −22.8775 + 11.1564i −0.843849 + 0.411510i
\(736\) −10.5708 + 1.86392i −0.389646 + 0.0687050i
\(737\) 0.423091 + 0.355015i 0.0155847 + 0.0130772i
\(738\) −47.4300 + 60.6926i −1.74592 + 2.23412i
\(739\) −38.0632 13.8539i −1.40018 0.509623i −0.471947 0.881627i \(-0.656449\pi\)
−0.928231 + 0.372003i \(0.878671\pi\)
\(740\) −49.7802 + 86.2218i −1.82996 + 3.16958i
\(741\) 19.5384 + 7.48567i 0.717762 + 0.274993i
\(742\) −16.9755 29.4025i −0.623191 1.07940i
\(743\) 7.14422 + 40.5169i 0.262096 + 1.48642i 0.777179 + 0.629279i \(0.216650\pi\)
−0.515083 + 0.857140i \(0.672239\pi\)
\(744\) −4.56585 15.9266i −0.167392 0.583899i
\(745\) −3.14287 + 1.14391i −0.115146 + 0.0419096i
\(746\) 47.5276 + 56.6412i 1.74011 + 2.07378i
\(747\) 1.04736 0.0364483i 0.0383208 0.00133357i
\(748\) −0.860840 + 1.49102i −0.0314754 + 0.0545170i
\(749\) 20.3979 0.745324
\(750\) −34.2727 23.1202i −1.25146 0.844232i
\(751\) 21.3166 25.4041i 0.777854 0.927010i −0.220981 0.975278i \(-0.570926\pi\)
0.998834 + 0.0482683i \(0.0153703\pi\)
\(752\) 1.02914 + 0.594177i 0.0375290 + 0.0216674i
\(753\) 23.9140 + 32.9190i 0.871475 + 1.19963i
\(754\) 24.3464 29.0149i 0.886644 1.05666i
\(755\) 34.4121 28.8752i 1.25239 1.05088i
\(756\) 11.8534 29.3230i 0.431105 1.06647i
\(757\) 5.09501 + 28.8952i 0.185181 + 1.05021i 0.925722 + 0.378204i \(0.123458\pi\)
−0.740541 + 0.672011i \(0.765431\pi\)
\(758\) 41.7400 + 49.7438i 1.51607 + 1.80678i
\(759\) 0.325756 + 0.145059i 0.0118242 + 0.00526532i
\(760\) 55.5880 + 16.9522i 2.01639 + 0.614920i
\(761\) 26.0608 15.0462i 0.944704 0.545425i 0.0532721 0.998580i \(-0.483035\pi\)
0.891432 + 0.453155i \(0.149702\pi\)
\(762\) −1.25717 4.38526i −0.0455424 0.158861i
\(763\) −1.51632 + 4.16606i −0.0548945 + 0.150821i
\(764\) 44.2625 52.7500i 1.60136 1.90843i
\(765\) −28.2373 69.9140i −1.02092 2.52775i
\(766\) 7.78601 44.1566i 0.281320 1.59544i
\(767\) 26.7517 15.4451i 0.965948 0.557690i
\(768\) 35.0873 25.4892i 1.26610 0.919761i
\(769\) −21.5219 18.0590i −0.776098 0.651224i 0.166164 0.986098i \(-0.446862\pi\)
−0.942263 + 0.334874i \(0.891306\pi\)
\(770\) −0.756052 0.634403i −0.0272462 0.0228623i
\(771\) −11.3372 + 8.23590i −0.408298 + 0.296609i