Properties

Label 171.2.x.a.110.2
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 110.2
Character \(\chi\) \(=\) 171.110
Dual form 171.2.x.a.14.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.86688 + 1.56649i) q^{2} +(-1.40345 - 1.01505i) q^{3} +(0.684023 - 3.87929i) q^{4} +(0.0603078 - 0.165694i) q^{5} +(4.21014 - 0.303523i) q^{6} +(0.340059 + 0.588999i) q^{7} +(2.36286 + 4.09260i) q^{8} +(0.939343 + 2.84915i) q^{9} +O(q^{10})\) \(q+(-1.86688 + 1.56649i) q^{2} +(-1.40345 - 1.01505i) q^{3} +(0.684023 - 3.87929i) q^{4} +(0.0603078 - 0.165694i) q^{5} +(4.21014 - 0.303523i) q^{6} +(0.340059 + 0.588999i) q^{7} +(2.36286 + 4.09260i) q^{8} +(0.939343 + 2.84915i) q^{9} +(0.146972 + 0.403802i) q^{10} +5.07127i q^{11} +(-4.89766 + 4.75006i) q^{12} +(-0.848831 - 2.33215i) q^{13} +(-1.55751 - 0.566888i) q^{14} +(-0.252827 + 0.171328i) q^{15} +(-3.41905 - 1.24443i) q^{16} +(-1.07653 + 2.95775i) q^{17} +(-6.21681 - 3.84753i) q^{18} +(-0.122437 + 4.35718i) q^{19} +(-0.601523 - 0.347290i) q^{20} +(0.120609 - 1.17181i) q^{21} +(-7.94412 - 9.46744i) q^{22} +(-0.413419 - 0.0728969i) q^{23} +(0.838036 - 8.14218i) q^{24} +(3.80640 + 3.19395i) q^{25} +(5.23796 + 3.02414i) q^{26} +(1.57371 - 4.95212i) q^{27} +(2.51750 - 0.916297i) q^{28} +(0.0433231 - 0.245698i) q^{29} +(0.203612 - 0.715901i) q^{30} +9.69968i q^{31} +(-0.549104 + 0.199857i) q^{32} +(5.14760 - 7.11728i) q^{33} +(-2.62355 - 7.20814i) q^{34} +(0.118102 - 0.0208246i) q^{35} +(11.6952 - 1.69510i) q^{36} +5.05202i q^{37} +(-6.59692 - 8.32611i) q^{38} +(-1.17595 + 4.13466i) q^{39} +(0.820619 - 0.144697i) q^{40} +(8.91555 - 7.48103i) q^{41} +(1.61047 + 2.37655i) q^{42} +(0.329703 + 1.86984i) q^{43} +(19.6729 + 3.46887i) q^{44} +(0.528737 + 0.0161819i) q^{45} +(0.885995 - 0.511529i) q^{46} +(0.352276 + 0.0621158i) q^{47} +(3.53531 + 5.21702i) q^{48} +(3.26872 - 5.66159i) q^{49} -12.1094 q^{50} +(4.51313 - 3.05832i) q^{51} +(-9.62768 + 1.69762i) q^{52} +(-4.97407 - 4.17374i) q^{53} +(4.81954 + 11.7102i) q^{54} +(0.840281 + 0.305837i) q^{55} +(-1.60702 + 2.78345i) q^{56} +(4.59459 - 5.99080i) q^{57} +(0.304005 + 0.526553i) q^{58} +(-0.574271 - 3.25685i) q^{59} +(0.491691 + 1.09798i) q^{60} +(-7.26652 + 2.64480i) q^{61} +(-15.1945 - 18.1081i) q^{62} +(-1.35871 + 1.52215i) q^{63} +(4.35051 - 7.53531i) q^{64} -0.437614 q^{65} +(1.53925 + 21.3508i) q^{66} +(-4.89332 + 5.83164i) q^{67} +(10.7376 + 6.19936i) q^{68} +(0.506219 + 0.521949i) q^{69} +(-0.187860 + 0.223883i) q^{70} +(-10.2100 + 8.56721i) q^{71} +(-9.44087 + 10.5765i) q^{72} +(-2.55026 - 14.4632i) q^{73} +(-7.91396 - 9.43149i) q^{74} +(-2.10007 - 8.34625i) q^{75} +(16.8190 + 3.45538i) q^{76} +(-2.98698 + 1.72453i) q^{77} +(-4.28156 - 9.56101i) q^{78} +(2.04479 - 5.61802i) q^{79} +(-0.412391 + 0.491469i) q^{80} +(-7.23527 + 5.35265i) q^{81} +(-4.92522 + 27.9323i) q^{82} +(-0.844295 + 0.487454i) q^{83} +(-4.46328 - 1.26942i) q^{84} +(0.425160 + 0.356751i) q^{85} +(-3.54460 - 2.97428i) q^{86} +(-0.310198 + 0.300849i) q^{87} +(-20.7547 + 11.9827i) q^{88} +(-1.48229 + 8.40648i) q^{89} +(-1.01243 + 0.798054i) q^{90} +(1.08498 - 1.29303i) q^{91} +(-0.565576 + 1.55391i) q^{92} +(9.84567 - 13.6130i) q^{93} +(-0.754960 + 0.435876i) q^{94} +(0.714576 + 0.283059i) q^{95} +(0.973505 + 0.276878i) q^{96} +(8.73912 + 10.4149i) q^{97} +(2.76656 + 15.6899i) q^{98} +(-14.4488 + 4.76367i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.86688 + 1.56649i −1.32008 + 1.10768i −0.333792 + 0.942647i \(0.608328\pi\)
−0.986288 + 0.165032i \(0.947227\pi\)
\(3\) −1.40345 1.01505i −0.810282 0.586040i
\(4\) 0.684023 3.87929i 0.342011 1.93964i
\(5\) 0.0603078 0.165694i 0.0269705 0.0741007i −0.925477 0.378805i \(-0.876335\pi\)
0.952447 + 0.304704i \(0.0985575\pi\)
\(6\) 4.21014 0.303523i 1.71878 0.123913i
\(7\) 0.340059 + 0.588999i 0.128530 + 0.222621i 0.923107 0.384542i \(-0.125641\pi\)
−0.794577 + 0.607163i \(0.792307\pi\)
\(8\) 2.36286 + 4.09260i 0.835398 + 1.44695i
\(9\) 0.939343 + 2.84915i 0.313114 + 0.949715i
\(10\) 0.146972 + 0.403802i 0.0464766 + 0.127694i
\(11\) 5.07127i 1.52905i 0.644596 + 0.764523i \(0.277026\pi\)
−0.644596 + 0.764523i \(0.722974\pi\)
\(12\) −4.89766 + 4.75006i −1.41383 + 1.37123i
\(13\) −0.848831 2.33215i −0.235423 0.646821i −0.999997 0.00228466i \(-0.999273\pi\)
0.764574 0.644536i \(-0.222949\pi\)
\(14\) −1.55751 0.566888i −0.416263 0.151507i
\(15\) −0.252827 + 0.171328i −0.0652797 + 0.0442367i
\(16\) −3.41905 1.24443i −0.854764 0.311109i
\(17\) −1.07653 + 2.95775i −0.261098 + 0.717361i 0.737996 + 0.674805i \(0.235772\pi\)
−0.999094 + 0.0425558i \(0.986450\pi\)
\(18\) −6.21681 3.84753i −1.46532 0.906871i
\(19\) −0.122437 + 4.35718i −0.0280891 + 0.999605i
\(20\) −0.601523 0.347290i −0.134505 0.0776563i
\(21\) 0.120609 1.17181i 0.0263190 0.255710i
\(22\) −7.94412 9.46744i −1.69369 2.01846i
\(23\) −0.413419 0.0728969i −0.0862038 0.0152001i 0.130380 0.991464i \(-0.458380\pi\)
−0.216584 + 0.976264i \(0.569491\pi\)
\(24\) 0.838036 8.14218i 0.171063 1.66202i
\(25\) 3.80640 + 3.19395i 0.761281 + 0.638791i
\(26\) 5.23796 + 3.02414i 1.02725 + 0.593082i
\(27\) 1.57371 4.95212i 0.302860 0.953035i
\(28\) 2.51750 0.916297i 0.475764 0.173164i
\(29\) 0.0433231 0.245698i 0.00804490 0.0456249i −0.980521 0.196414i \(-0.937070\pi\)
0.988566 + 0.150789i \(0.0481814\pi\)
\(30\) 0.203612 0.715901i 0.0371743 0.130705i
\(31\) 9.69968i 1.74211i 0.491181 + 0.871057i \(0.336565\pi\)
−0.491181 + 0.871057i \(0.663435\pi\)
\(32\) −0.549104 + 0.199857i −0.0970687 + 0.0353301i
\(33\) 5.14760 7.11728i 0.896083 1.23896i
\(34\) −2.62355 7.20814i −0.449935 1.23619i
\(35\) 0.118102 0.0208246i 0.0199629 0.00352000i
\(36\) 11.6952 1.69510i 1.94920 0.282516i
\(37\) 5.05202i 0.830547i 0.909697 + 0.415273i \(0.136314\pi\)
−0.909697 + 0.415273i \(0.863686\pi\)
\(38\) −6.59692 8.32611i −1.07016 1.35067i
\(39\) −1.17595 + 4.13466i −0.188303 + 0.662075i
\(40\) 0.820619 0.144697i 0.129751 0.0228786i
\(41\) 8.91555 7.48103i 1.39237 1.16834i 0.428007 0.903776i \(-0.359216\pi\)
0.964368 0.264565i \(-0.0852285\pi\)
\(42\) 1.61047 + 2.37655i 0.248501 + 0.366710i
\(43\) 0.329703 + 1.86984i 0.0502792 + 0.285147i 0.999572 0.0292450i \(-0.00931031\pi\)
−0.949293 + 0.314393i \(0.898199\pi\)
\(44\) 19.6729 + 3.46887i 2.96580 + 0.522951i
\(45\) 0.528737 + 0.0161819i 0.0788194 + 0.00241226i
\(46\) 0.885995 0.511529i 0.130633 0.0754209i
\(47\) 0.352276 + 0.0621158i 0.0513848 + 0.00906052i 0.199281 0.979942i \(-0.436139\pi\)
−0.147897 + 0.989003i \(0.547250\pi\)
\(48\) 3.53531 + 5.21702i 0.510278 + 0.753011i
\(49\) 3.26872 5.66159i 0.466960 0.808798i
\(50\) −12.1094 −1.71253
\(51\) 4.51313 3.05832i 0.631965 0.428251i
\(52\) −9.62768 + 1.69762i −1.33512 + 0.235417i
\(53\) −4.97407 4.17374i −0.683241 0.573308i 0.233710 0.972306i \(-0.424913\pi\)
−0.916951 + 0.398999i \(0.869358\pi\)
\(54\) 4.81954 + 11.7102i 0.655857 + 1.59355i
\(55\) 0.840281 + 0.305837i 0.113303 + 0.0412391i
\(56\) −1.60702 + 2.78345i −0.214748 + 0.371954i
\(57\) 4.59459 5.99080i 0.608569 0.793501i
\(58\) 0.304005 + 0.526553i 0.0399178 + 0.0691397i
\(59\) −0.574271 3.25685i −0.0747637 0.424006i −0.999100 0.0424263i \(-0.986491\pi\)
0.924336 0.381580i \(-0.124620\pi\)
\(60\) 0.491691 + 1.09798i 0.0634771 + 0.141749i
\(61\) −7.26652 + 2.64480i −0.930382 + 0.338632i −0.762361 0.647152i \(-0.775960\pi\)
−0.168021 + 0.985783i \(0.553738\pi\)
\(62\) −15.1945 18.1081i −1.92970 2.29973i
\(63\) −1.35871 + 1.52215i −0.171182 + 0.191773i
\(64\) 4.35051 7.53531i 0.543814 0.941914i
\(65\) −0.437614 −0.0542794
\(66\) 1.53925 + 21.3508i 0.189468 + 2.62810i
\(67\) −4.89332 + 5.83164i −0.597815 + 0.712448i −0.977088 0.212837i \(-0.931730\pi\)
0.379273 + 0.925285i \(0.376174\pi\)
\(68\) 10.7376 + 6.19936i 1.30213 + 0.751782i
\(69\) 0.506219 + 0.521949i 0.0609416 + 0.0628352i
\(70\) −0.187860 + 0.223883i −0.0224536 + 0.0267591i
\(71\) −10.2100 + 8.56721i −1.21170 + 1.01674i −0.212488 + 0.977164i \(0.568157\pi\)
−0.999217 + 0.0395775i \(0.987399\pi\)
\(72\) −9.44087 + 10.5765i −1.11262 + 1.24645i
\(73\) −2.55026 14.4632i −0.298485 1.69279i −0.652689 0.757626i \(-0.726359\pi\)
0.354204 0.935168i \(-0.384752\pi\)
\(74\) −7.91396 9.43149i −0.919979 1.09639i
\(75\) −2.10007 8.34625i −0.242496 0.963742i
\(76\) 16.8190 + 3.45538i 1.92927 + 0.396359i
\(77\) −2.98698 + 1.72453i −0.340398 + 0.196529i
\(78\) −4.28156 9.56101i −0.484791 1.08257i
\(79\) 2.04479 5.61802i 0.230057 0.632077i −0.769924 0.638135i \(-0.779706\pi\)
0.999982 + 0.00605797i \(0.00192832\pi\)
\(80\) −0.412391 + 0.491469i −0.0461067 + 0.0549479i
\(81\) −7.23527 + 5.35265i −0.803919 + 0.594739i
\(82\) −4.92522 + 27.9323i −0.543900 + 3.08461i
\(83\) −0.844295 + 0.487454i −0.0926734 + 0.0535050i −0.545621 0.838032i \(-0.683706\pi\)
0.452947 + 0.891537i \(0.350373\pi\)
\(84\) −4.46328 1.26942i −0.486984 0.138505i
\(85\) 0.425160 + 0.356751i 0.0461150 + 0.0386951i
\(86\) −3.54460 2.97428i −0.382224 0.320724i
\(87\) −0.310198 + 0.300849i −0.0332567 + 0.0322544i
\(88\) −20.7547 + 11.9827i −2.21246 + 1.27736i
\(89\) −1.48229 + 8.40648i −0.157122 + 0.891085i 0.799698 + 0.600403i \(0.204993\pi\)
−0.956820 + 0.290682i \(0.906118\pi\)
\(90\) −1.01243 + 0.798054i −0.106720 + 0.0841223i
\(91\) 1.08498 1.29303i 0.113737 0.135546i
\(92\) −0.565576 + 1.55391i −0.0589654 + 0.162006i
\(93\) 9.84567 13.6130i 1.02095 1.41160i
\(94\) −0.754960 + 0.435876i −0.0778682 + 0.0449572i
\(95\) 0.714576 + 0.283059i 0.0733139 + 0.0290412i
\(96\) 0.973505 + 0.276878i 0.0993579 + 0.0282588i
\(97\) 8.73912 + 10.4149i 0.887323 + 1.05747i 0.997975 + 0.0636112i \(0.0202617\pi\)
−0.110652 + 0.993859i \(0.535294\pi\)
\(98\) 2.76656 + 15.6899i 0.279464 + 1.58492i
\(99\) −14.4488 + 4.76367i −1.45216 + 0.478766i
\(100\) 14.9939 12.5814i 1.49939 1.25814i
\(101\) 10.1706 12.1208i 1.01201 1.20607i 0.0335929 0.999436i \(-0.489305\pi\)
0.978419 0.206633i \(-0.0662505\pi\)
\(102\) −3.63461 + 12.7793i −0.359880 + 1.26534i
\(103\) 4.22161 + 2.43735i 0.415968 + 0.240159i 0.693351 0.720600i \(-0.256134\pi\)
−0.277383 + 0.960759i \(0.589467\pi\)
\(104\) 7.53886 8.98446i 0.739246 0.880999i
\(105\) −0.186888 0.0906533i −0.0182384 0.00884686i
\(106\) 15.8241 1.53697
\(107\) 4.81520 8.34017i 0.465503 0.806274i −0.533721 0.845660i \(-0.679207\pi\)
0.999224 + 0.0393861i \(0.0125402\pi\)
\(108\) −18.1342 9.49222i −1.74497 0.913389i
\(109\) −3.66067 4.36262i −0.350629 0.417863i 0.561687 0.827350i \(-0.310152\pi\)
−0.912316 + 0.409486i \(0.865708\pi\)
\(110\) −2.04779 + 0.745336i −0.195249 + 0.0710650i
\(111\) 5.12806 7.09026i 0.486734 0.672977i
\(112\) −0.429709 2.43700i −0.0406037 0.230275i
\(113\) 7.66584 + 13.2776i 0.721142 + 1.24905i 0.960542 + 0.278134i \(0.0897158\pi\)
−0.239401 + 0.970921i \(0.576951\pi\)
\(114\) 0.807025 + 18.3815i 0.0755848 + 1.72158i
\(115\) −0.0370110 + 0.0641049i −0.00345129 + 0.00597781i
\(116\) −0.923498 0.336126i −0.0857446 0.0312085i
\(117\) 5.84728 4.60913i 0.540581 0.426114i
\(118\) 6.17394 + 5.18055i 0.568357 + 0.476908i
\(119\) −2.10820 + 0.371733i −0.193258 + 0.0340767i
\(120\) −1.29857 0.629894i −0.118543 0.0575012i
\(121\) −14.7178 −1.33798
\(122\) 9.42263 16.3205i 0.853085 1.47759i
\(123\) −20.1062 + 1.44952i −1.81291 + 0.130699i
\(124\) 37.6278 + 6.63480i 3.37908 + 0.595823i
\(125\) 1.52230 0.878900i 0.136159 0.0786112i
\(126\) 0.152109 4.97008i 0.0135509 0.442770i
\(127\) −15.7611 2.77910i −1.39857 0.246606i −0.577014 0.816734i \(-0.695782\pi\)
−0.821556 + 0.570128i \(0.806893\pi\)
\(128\) 3.47922 + 19.7316i 0.307522 + 1.74404i
\(129\) 1.43526 2.95889i 0.126367 0.260516i
\(130\) 0.816971 0.685520i 0.0716531 0.0601241i
\(131\) 3.52417 0.621407i 0.307908 0.0542925i −0.0175590 0.999846i \(-0.505590\pi\)
0.325467 + 0.945553i \(0.394478\pi\)
\(132\) −24.0889 24.8374i −2.09667 2.16182i
\(133\) −2.60801 + 1.40958i −0.226143 + 0.122226i
\(134\) 18.5523i 1.60267i
\(135\) −0.725630 0.559405i −0.0624523 0.0481460i
\(136\) −14.6486 + 2.58294i −1.25611 + 0.221485i
\(137\) 3.43710 + 9.44335i 0.293651 + 0.806800i 0.995525 + 0.0944987i \(0.0301248\pi\)
−0.701874 + 0.712301i \(0.747653\pi\)
\(138\) −1.76268 0.181424i −0.150049 0.0154438i
\(139\) −7.18300 + 2.61440i −0.609254 + 0.221750i −0.628177 0.778071i \(-0.716198\pi\)
0.0189230 + 0.999821i \(0.493976\pi\)
\(140\) 0.472396i 0.0399247i
\(141\) −0.431351 0.444755i −0.0363263 0.0374551i
\(142\) 5.64032 31.9878i 0.473325 2.68436i
\(143\) 11.8269 4.30466i 0.989019 0.359974i
\(144\) 0.333910 10.9103i 0.0278258 0.909195i
\(145\) −0.0380980 0.0219959i −0.00316387 0.00182666i
\(146\) 27.4176 + 23.0061i 2.26910 + 1.90400i
\(147\) −10.3343 + 4.62784i −0.852358 + 0.381698i
\(148\) 19.5982 + 3.45570i 1.61096 + 0.284056i
\(149\) −4.59930 5.48124i −0.376790 0.449040i 0.544009 0.839080i \(-0.316906\pi\)
−0.920798 + 0.390039i \(0.872461\pi\)
\(150\) 16.9949 + 12.2917i 1.38763 + 1.00361i
\(151\) 15.1021 + 8.71921i 1.22899 + 0.709560i 0.966819 0.255461i \(-0.0822273\pi\)
0.262174 + 0.965021i \(0.415561\pi\)
\(152\) −18.1215 + 9.79432i −1.46985 + 0.794424i
\(153\) −9.43831 0.288859i −0.763042 0.0233528i
\(154\) 2.87484 7.89857i 0.231662 0.636485i
\(155\) 1.60718 + 0.584966i 0.129092 + 0.0469856i
\(156\) 15.2351 + 7.39006i 1.21979 + 0.591678i
\(157\) 7.70027 + 2.80267i 0.614548 + 0.223677i 0.630492 0.776196i \(-0.282853\pi\)
−0.0159440 + 0.999873i \(0.505075\pi\)
\(158\) 4.98323 + 13.6913i 0.396444 + 1.08922i
\(159\) 2.74430 + 10.9066i 0.217637 + 0.864948i
\(160\) 0.103036i 0.00814573i
\(161\) −0.0976506 0.268293i −0.00769595 0.0211444i
\(162\) 5.12245 21.3267i 0.402458 1.67559i
\(163\) 0.902969 + 1.56399i 0.0707260 + 0.122501i 0.899220 0.437497i \(-0.144135\pi\)
−0.828494 + 0.559998i \(0.810802\pi\)
\(164\) −22.9226 39.7031i −1.78996 3.10029i
\(165\) −0.868852 1.28216i −0.0676400 0.0998157i
\(166\) 0.812600 2.23260i 0.0630700 0.173283i
\(167\) 2.52373 14.3128i 0.195292 1.10756i −0.716710 0.697371i \(-0.754353\pi\)
0.912002 0.410185i \(-0.134536\pi\)
\(168\) 5.08072 2.27522i 0.391986 0.175537i
\(169\) 5.24019 4.39704i 0.403092 0.338234i
\(170\) −1.35257 −0.103737
\(171\) −12.5293 + 3.74404i −0.958136 + 0.286314i
\(172\) 7.47916 0.570280
\(173\) −14.6287 + 12.2749i −1.11220 + 0.933246i −0.998184 0.0602325i \(-0.980816\pi\)
−0.114015 + 0.993479i \(0.536371\pi\)
\(174\) 0.107822 1.04757i 0.00817393 0.0794161i
\(175\) −0.586834 + 3.32810i −0.0443605 + 0.251581i
\(176\) 6.31087 17.3390i 0.475700 1.30697i
\(177\) −2.49991 + 5.15374i −0.187905 + 0.387379i
\(178\) −10.4015 18.0158i −0.779622 1.35034i
\(179\) 3.53331 + 6.11987i 0.264092 + 0.457420i 0.967325 0.253539i \(-0.0815945\pi\)
−0.703233 + 0.710959i \(0.748261\pi\)
\(180\) 0.424442 2.04005i 0.0316361 0.152057i
\(181\) −8.71420 23.9421i −0.647721 1.77960i −0.625985 0.779835i \(-0.715303\pi\)
−0.0217366 0.999764i \(-0.506920\pi\)
\(182\) 4.11354i 0.304916i
\(183\) 12.8828 + 3.66405i 0.952324 + 0.270854i
\(184\) −0.678514 1.86420i −0.0500207 0.137431i
\(185\) 0.837091 + 0.304676i 0.0615441 + 0.0224002i
\(186\) 2.94407 + 40.8370i 0.215870 + 2.99431i
\(187\) −14.9996 5.45940i −1.09688 0.399231i
\(188\) 0.481930 1.32409i 0.0351484 0.0965693i
\(189\) 3.45195 0.757098i 0.251092 0.0550708i
\(190\) −1.77743 + 0.590943i −0.128949 + 0.0428715i
\(191\) −7.39281 4.26824i −0.534925 0.308839i 0.208095 0.978109i \(-0.433274\pi\)
−0.743020 + 0.669270i \(0.766607\pi\)
\(192\) −13.7545 + 6.15944i −0.992642 + 0.444519i
\(193\) 5.77319 + 6.88022i 0.415563 + 0.495249i 0.932700 0.360654i \(-0.117446\pi\)
−0.517136 + 0.855903i \(0.673002\pi\)
\(194\) −32.6297 5.75350i −2.34268 0.413077i
\(195\) 0.614170 + 0.444201i 0.0439816 + 0.0318099i
\(196\) −19.7270 16.5530i −1.40907 1.18235i
\(197\) 7.27273 + 4.19891i 0.518161 + 0.299160i 0.736182 0.676784i \(-0.236627\pi\)
−0.218021 + 0.975944i \(0.569960\pi\)
\(198\) 19.5119 31.5271i 1.38665 2.24054i
\(199\) 5.96674 2.17172i 0.422971 0.153949i −0.121760 0.992560i \(-0.538854\pi\)
0.544731 + 0.838611i \(0.316632\pi\)
\(200\) −4.07755 + 23.1249i −0.288326 + 1.63518i
\(201\) 12.7869 3.21744i 0.901921 0.226940i
\(202\) 38.5603i 2.71309i
\(203\) 0.159448 0.0580344i 0.0111911 0.00407322i
\(204\) −8.77702 19.5997i −0.614514 1.37225i
\(205\) −0.701887 1.92842i −0.0490219 0.134687i
\(206\) −11.6993 + 2.06290i −0.815130 + 0.143729i
\(207\) −0.180648 1.24637i −0.0125559 0.0866285i
\(208\) 9.03005i 0.626121i
\(209\) −22.0965 0.620913i −1.52844 0.0429495i
\(210\) 0.490905 0.123521i 0.0338757 0.00852376i
\(211\) −13.6964 + 2.41505i −0.942902 + 0.166259i −0.623908 0.781498i \(-0.714456\pi\)
−0.318994 + 0.947757i \(0.603345\pi\)
\(212\) −19.5935 + 16.4409i −1.34569 + 1.12917i
\(213\) 23.0254 1.65998i 1.57767 0.113740i
\(214\) 4.07545 + 23.1130i 0.278592 + 1.57997i
\(215\) 0.329705 + 0.0581359i 0.0224857 + 0.00396483i
\(216\) 23.9855 5.26061i 1.63200 0.357939i
\(217\) −5.71311 + 3.29846i −0.387831 + 0.223914i
\(218\) 13.6680 + 2.41004i 0.925716 + 0.163229i
\(219\) −11.1018 + 22.8871i −0.750188 + 1.54657i
\(220\) 1.76120 3.05049i 0.118740 0.205664i
\(221\) 7.81171 0.525472
\(222\) 1.53340 + 21.2697i 0.102915 + 1.42753i
\(223\) 3.23131 0.569767i 0.216385 0.0381544i −0.0644048 0.997924i \(-0.520515\pi\)
0.280789 + 0.959769i \(0.409404\pi\)
\(224\) −0.304443 0.255458i −0.0203415 0.0170685i
\(225\) −5.52452 + 13.8452i −0.368301 + 0.923015i
\(226\) −35.1105 12.7792i −2.33552 0.850059i
\(227\) 6.29847 10.9093i 0.418044 0.724074i −0.577698 0.816250i \(-0.696049\pi\)
0.995743 + 0.0921763i \(0.0293823\pi\)
\(228\) −20.0972 21.9216i −1.33097 1.45179i
\(229\) −2.16119 3.74330i −0.142816 0.247364i 0.785740 0.618557i \(-0.212282\pi\)
−0.928556 + 0.371193i \(0.878949\pi\)
\(230\) −0.0313251 0.177653i −0.00206552 0.0117141i
\(231\) 5.94256 + 0.611640i 0.390992 + 0.0402429i
\(232\) 1.10791 0.403246i 0.0727377 0.0264744i
\(233\) 9.49430 + 11.3149i 0.621992 + 0.741262i 0.981412 0.191915i \(-0.0614697\pi\)
−0.359419 + 0.933176i \(0.617025\pi\)
\(234\) −3.69597 + 17.7644i −0.241613 + 1.16130i
\(235\) 0.0315372 0.0546241i 0.00205726 0.00356328i
\(236\) −13.0271 −0.847991
\(237\) −8.57235 + 5.80905i −0.556834 + 0.377338i
\(238\) 3.35343 3.99646i 0.217371 0.259052i
\(239\) 12.4236 + 7.17276i 0.803615 + 0.463967i 0.844734 0.535187i \(-0.179759\pi\)
−0.0411186 + 0.999154i \(0.513092\pi\)
\(240\) 1.07764 0.271154i 0.0695611 0.0175029i
\(241\) 5.11028 6.09020i 0.329182 0.392304i −0.575914 0.817510i \(-0.695354\pi\)
0.905097 + 0.425206i \(0.139798\pi\)
\(242\) 27.4763 23.0554i 1.76625 1.48206i
\(243\) 15.5876 0.168010i 0.999942 0.0107779i
\(244\) 5.28946 + 29.9980i 0.338623 + 1.92043i
\(245\) −0.740964 0.883046i −0.0473384 0.0564157i
\(246\) 35.2650 34.2022i 2.24842 2.18066i
\(247\) 10.2655 3.41297i 0.653178 0.217162i
\(248\) −39.6969 + 22.9190i −2.52075 + 1.45536i
\(249\) 1.67972 + 0.172885i 0.106448 + 0.0109562i
\(250\) −1.46515 + 4.02547i −0.0926643 + 0.254593i
\(251\) 15.0671 17.9562i 0.951025 1.13339i −0.0399312 0.999202i \(-0.512714\pi\)
0.990956 0.134185i \(-0.0428417\pi\)
\(252\) 4.97546 + 6.31202i 0.313425 + 0.397620i
\(253\) 0.369680 2.09656i 0.0232416 0.131810i
\(254\) 33.7774 19.5014i 2.11938 1.22363i
\(255\) −0.234569 0.932241i −0.0146893 0.0583792i
\(256\) −24.0740 20.2005i −1.50462 1.26253i
\(257\) 4.06877 + 3.41410i 0.253803 + 0.212966i 0.760808 0.648977i \(-0.224803\pi\)
−0.507005 + 0.861943i \(0.669247\pi\)
\(258\) 1.95563 + 7.77220i 0.121752 + 0.483876i
\(259\) −2.97564 + 1.71798i −0.184897 + 0.106750i
\(260\) −0.299338 + 1.69763i −0.0185642 + 0.105283i
\(261\) 0.740724 0.107360i 0.0458497 0.00664545i
\(262\) −5.60576 + 6.68068i −0.346325 + 0.412734i
\(263\) 8.50820 23.3761i 0.524638 1.44143i −0.340666 0.940184i \(-0.610653\pi\)
0.865304 0.501247i \(-0.167125\pi\)
\(264\) 41.2912 + 4.24991i 2.54130 + 0.261564i
\(265\) −0.991540 + 0.572466i −0.0609098 + 0.0351663i
\(266\) 2.66073 6.71695i 0.163140 0.411843i
\(267\) 10.6133 10.2935i 0.649525 0.629950i
\(268\) 19.2754 + 22.9716i 1.17743 + 1.40321i
\(269\) 3.82949 + 21.7181i 0.233488 + 1.32418i 0.845774 + 0.533541i \(0.179139\pi\)
−0.612286 + 0.790636i \(0.709750\pi\)
\(270\) 2.23097 0.0923555i 0.135772 0.00562057i
\(271\) 0.263153 0.220812i 0.0159854 0.0134133i −0.634760 0.772709i \(-0.718901\pi\)
0.650745 + 0.759296i \(0.274457\pi\)
\(272\) 7.36146 8.77305i 0.446354 0.531944i
\(273\) −2.83520 + 0.713391i −0.171594 + 0.0431764i
\(274\) −21.2096 12.2454i −1.28132 0.739770i
\(275\) −16.1974 + 19.3033i −0.976741 + 1.16403i
\(276\) 2.37105 1.60674i 0.142721 0.0967145i
\(277\) −25.1866 −1.51332 −0.756659 0.653809i \(-0.773170\pi\)
−0.756659 + 0.653809i \(0.773170\pi\)
\(278\) 9.31432 16.1329i 0.558636 0.967586i
\(279\) −27.6358 + 9.11133i −1.65451 + 0.545481i
\(280\) 0.364285 + 0.434138i 0.0217702 + 0.0259447i
\(281\) 8.78018 3.19573i 0.523782 0.190641i −0.0665779 0.997781i \(-0.521208\pi\)
0.590360 + 0.807140i \(0.298986\pi\)
\(282\) 1.50199 + 0.154592i 0.0894419 + 0.00920584i
\(283\) 1.39729 + 7.92443i 0.0830604 + 0.471059i 0.997758 + 0.0669205i \(0.0213174\pi\)
−0.914698 + 0.404138i \(0.867571\pi\)
\(284\) 26.2508 + 45.4677i 1.55770 + 2.69801i
\(285\) −0.715552 1.12259i −0.0423856 0.0664965i
\(286\) −15.3362 + 26.5631i −0.906850 + 1.57071i
\(287\) 7.43813 + 2.70726i 0.439059 + 0.159804i
\(288\) −1.08522 1.37674i −0.0639472 0.0811253i
\(289\) 5.43337 + 4.55914i 0.319610 + 0.268185i
\(290\) 0.105581 0.0186167i 0.00619991 0.00109321i
\(291\) −1.69328 23.4874i −0.0992621 1.37686i
\(292\) −57.8515 −3.38550
\(293\) 12.4915 21.6360i 0.729764 1.26399i −0.227219 0.973844i \(-0.572963\pi\)
0.956983 0.290144i \(-0.0937032\pi\)
\(294\) 12.0433 24.8282i 0.702382 1.44801i
\(295\) −0.574275 0.101260i −0.0334356 0.00589560i
\(296\) −20.6759 + 11.9372i −1.20176 + 0.693837i
\(297\) 25.1135 + 7.98071i 1.45724 + 0.463087i
\(298\) 17.1727 + 3.02800i 0.994785 + 0.175408i
\(299\) 0.180917 + 1.02603i 0.0104627 + 0.0593369i
\(300\) −33.8140 + 2.43776i −1.95225 + 0.140744i
\(301\) −0.989214 + 0.830050i −0.0570174 + 0.0478433i
\(302\) −41.8524 + 7.37970i −2.40833 + 0.424654i
\(303\) −26.5772 + 6.68732i −1.52682 + 0.384176i
\(304\) 5.84084 14.7451i 0.334995 0.845688i
\(305\) 1.36352i 0.0780751i
\(306\) 18.0726 14.2458i 1.03314 0.814378i
\(307\) 16.5638 2.92064i 0.945343 0.166690i 0.320332 0.947305i \(-0.396205\pi\)
0.625011 + 0.780616i \(0.285094\pi\)
\(308\) 4.64679 + 12.7670i 0.264776 + 0.727465i
\(309\) −3.45079 7.70584i −0.196308 0.438370i
\(310\) −3.91676 + 1.42558i −0.222457 + 0.0809676i
\(311\) 11.1764i 0.633753i −0.948467 0.316877i \(-0.897366\pi\)
0.948467 0.316877i \(-0.102634\pi\)
\(312\) −19.7001 + 4.95691i −1.11530 + 0.280630i
\(313\) 1.68577 9.56048i 0.0952854 0.540390i −0.899374 0.437180i \(-0.855977\pi\)
0.994660 0.103211i \(-0.0329115\pi\)
\(314\) −18.7658 + 6.83019i −1.05902 + 0.385450i
\(315\) 0.170271 + 0.316929i 0.00959366 + 0.0178569i
\(316\) −20.3952 11.7752i −1.14732 0.662406i
\(317\) −11.5630 9.70254i −0.649445 0.544949i 0.257457 0.966290i \(-0.417115\pi\)
−0.906903 + 0.421341i \(0.861560\pi\)
\(318\) −22.2084 16.0623i −1.24538 0.900728i
\(319\) 1.24600 + 0.219704i 0.0697626 + 0.0123010i
\(320\) −0.986188 1.17529i −0.0551296 0.0657009i
\(321\) −15.2236 + 6.81733i −0.849697 + 0.380506i
\(322\) 0.602581 + 0.347900i 0.0335805 + 0.0193877i
\(323\) −12.7557 5.05279i −0.709744 0.281145i
\(324\) 15.8154 + 31.7290i 0.878632 + 1.76272i
\(325\) 4.21777 11.5882i 0.233960 0.642799i
\(326\) −4.13571 1.50528i −0.229056 0.0833695i
\(327\) 0.709289 + 9.83849i 0.0392238 + 0.544070i
\(328\) 51.6830 + 18.8111i 2.85372 + 1.03867i
\(329\) 0.0832085 + 0.228614i 0.00458744 + 0.0126039i
\(330\) 3.63053 + 1.03257i 0.199854 + 0.0568413i
\(331\) 13.2009i 0.725585i −0.931870 0.362793i \(-0.881823\pi\)
0.931870 0.362793i \(-0.118177\pi\)
\(332\) 1.31346 + 3.60869i 0.0720853 + 0.198053i
\(333\) −14.3939 + 4.74558i −0.788783 + 0.260056i
\(334\) 17.7094 + 30.6736i 0.969016 + 1.67838i
\(335\) 0.671163 + 1.16249i 0.0366696 + 0.0635135i
\(336\) −1.87061 + 3.85639i −0.102050 + 0.210383i
\(337\) 7.18695 19.7460i 0.391498 1.07563i −0.574820 0.818280i \(-0.694928\pi\)
0.966318 0.257352i \(-0.0828499\pi\)
\(338\) −2.89484 + 16.4175i −0.157459 + 0.892992i
\(339\) 2.71884 26.4157i 0.147667 1.43470i
\(340\) 1.67476 1.40529i 0.0908265 0.0762125i
\(341\) −49.1898 −2.66377
\(342\) 17.5255 26.6167i 0.947672 1.43926i
\(343\) 9.20705 0.497134
\(344\) −6.87345 + 5.76751i −0.370591 + 0.310963i
\(345\) 0.117013 0.0524000i 0.00629976 0.00282112i
\(346\) 8.08134 45.8316i 0.434456 2.46392i
\(347\) −3.04230 + 8.35865i −0.163319 + 0.448716i −0.994176 0.107771i \(-0.965629\pi\)
0.830857 + 0.556487i \(0.187851\pi\)
\(348\) 0.954898 + 1.40913i 0.0511879 + 0.0755374i
\(349\) 3.92052 + 6.79054i 0.209861 + 0.363489i 0.951670 0.307121i \(-0.0993657\pi\)
−0.741810 + 0.670610i \(0.766032\pi\)
\(350\) −4.11791 7.13242i −0.220111 0.381244i
\(351\) −12.8849 + 0.533395i −0.687743 + 0.0284705i
\(352\) −1.01353 2.78466i −0.0540214 0.148423i
\(353\) 0.171537i 0.00913001i 0.999990 + 0.00456501i \(0.00145309\pi\)
−0.999990 + 0.00456501i \(0.998547\pi\)
\(354\) −3.40629 13.5375i −0.181042 0.719510i
\(355\) 0.803795 + 2.20841i 0.0426610 + 0.117210i
\(356\) 31.5972 + 11.5004i 1.67465 + 0.609522i
\(357\) 3.33608 + 1.61822i 0.176564 + 0.0856454i
\(358\) −16.1830 5.89012i −0.855297 0.311303i
\(359\) −4.87953 + 13.4064i −0.257532 + 0.707563i 0.741786 + 0.670636i \(0.233979\pi\)
−0.999318 + 0.0369264i \(0.988243\pi\)
\(360\) 1.18311 + 2.20214i 0.0623552 + 0.116063i
\(361\) −18.9700 1.06696i −0.998422 0.0561559i
\(362\) 53.7734 + 31.0461i 2.82627 + 1.63175i
\(363\) 20.6557 + 14.9393i 1.08414 + 0.784112i
\(364\) −4.27387 5.09341i −0.224012 0.266967i
\(365\) −2.55028 0.449683i −0.133488 0.0235375i
\(366\) −29.7903 + 13.3405i −1.55716 + 0.697320i
\(367\) −3.46143 2.90449i −0.180685 0.151613i 0.547959 0.836505i \(-0.315405\pi\)
−0.728645 + 0.684892i \(0.759849\pi\)
\(368\) 1.32279 + 0.763711i 0.0689550 + 0.0398112i
\(369\) 29.6893 + 18.3744i 1.54556 + 0.956535i
\(370\) −2.04002 + 0.742506i −0.106055 + 0.0386010i
\(371\) 0.766854 4.34904i 0.0398131 0.225791i
\(372\) −46.0741 47.5058i −2.38883 2.46306i
\(373\) 6.81791i 0.353018i −0.984299 0.176509i \(-0.943519\pi\)
0.984299 0.176509i \(-0.0564805\pi\)
\(374\) 36.5545 13.3047i 1.89019 0.687972i
\(375\) −3.02860 0.311719i −0.156396 0.0160971i
\(376\) 0.578165 + 1.58850i 0.0298166 + 0.0819204i
\(377\) −0.609777 + 0.107520i −0.0314051 + 0.00553757i
\(378\) −5.25836 + 6.82086i −0.270461 + 0.350827i
\(379\) 2.43440i 0.125047i 0.998044 + 0.0625233i \(0.0199148\pi\)
−0.998044 + 0.0625233i \(0.980085\pi\)
\(380\) 1.58685 2.57842i 0.0814038 0.132270i
\(381\) 19.2990 + 19.8986i 0.988715 + 1.01944i
\(382\) 20.4876 3.61252i 1.04824 0.184833i
\(383\) −6.13769 + 5.15013i −0.313621 + 0.263159i −0.785987 0.618243i \(-0.787845\pi\)
0.472366 + 0.881403i \(0.343400\pi\)
\(384\) 15.1457 31.2239i 0.772900 1.59339i
\(385\) 0.105607 + 0.598928i 0.00538224 + 0.0305242i
\(386\) −21.5557 3.80084i −1.09715 0.193458i
\(387\) −5.01774 + 2.69579i −0.255066 + 0.137035i
\(388\) 46.3800 26.7775i 2.35459 1.35942i
\(389\) 36.2433 + 6.39067i 1.83761 + 0.324020i 0.981306 0.192454i \(-0.0616445\pi\)
0.856303 + 0.516474i \(0.172756\pi\)
\(390\) −1.84242 + 0.132826i −0.0932944 + 0.00672590i
\(391\) 0.660671 1.14432i 0.0334116 0.0578705i
\(392\) 30.8941 1.56039
\(393\) −5.57676 2.70510i −0.281310 0.136454i
\(394\) −20.1549 + 3.55385i −1.01539 + 0.179040i
\(395\) −0.807558 0.677621i −0.0406326 0.0340948i
\(396\) 8.59631 + 59.3095i 0.431981 + 2.98041i
\(397\) 16.0394 + 5.83787i 0.804996 + 0.292995i 0.711555 0.702630i \(-0.247991\pi\)
0.0934407 + 0.995625i \(0.470213\pi\)
\(398\) −7.73719 + 13.4012i −0.387830 + 0.671741i
\(399\) 5.09101 + 0.668987i 0.254869 + 0.0334912i
\(400\) −9.03964 15.6571i −0.451982 0.782856i
\(401\) 2.03940 + 11.5660i 0.101843 + 0.577579i 0.992434 + 0.122775i \(0.0391794\pi\)
−0.890592 + 0.454804i \(0.849709\pi\)
\(402\) −18.8315 + 26.0372i −0.939231 + 1.29862i
\(403\) 22.6211 8.23340i 1.12684 0.410135i
\(404\) −40.0633 47.7455i −1.99322 2.37543i
\(405\) 0.450561 + 1.52165i 0.0223885 + 0.0756114i
\(406\) −0.206759 + 0.358118i −0.0102613 + 0.0177731i
\(407\) −25.6202 −1.26994
\(408\) 23.1804 + 11.2440i 1.14760 + 0.556663i
\(409\) 5.19289 6.18865i 0.256772 0.306009i −0.622223 0.782840i \(-0.713770\pi\)
0.878995 + 0.476831i \(0.158215\pi\)
\(410\) 4.33119 + 2.50062i 0.213902 + 0.123497i
\(411\) 4.76169 16.7421i 0.234877 0.825827i
\(412\) 12.3428 14.7096i 0.608088 0.724691i
\(413\) 1.72300 1.44577i 0.0847832 0.0711416i
\(414\) 2.28967 + 2.04383i 0.112531 + 0.100449i
\(415\) 0.0298508 + 0.169292i 0.00146532 + 0.00831022i
\(416\) 0.932193 + 1.11094i 0.0457045 + 0.0544685i
\(417\) 12.7347 + 3.62193i 0.623622 + 0.177367i
\(418\) 42.2240 33.4548i 2.06524 1.63633i
\(419\) 4.08004 2.35561i 0.199323 0.115079i −0.397017 0.917811i \(-0.629954\pi\)
0.596340 + 0.802732i \(0.296621\pi\)
\(420\) −0.479506 + 0.662984i −0.0233975 + 0.0323503i
\(421\) 10.7149 29.4388i 0.522211 1.43476i −0.345844 0.938292i \(-0.612407\pi\)
0.868054 0.496469i \(-0.165371\pi\)
\(422\) 21.7864 25.9640i 1.06054 1.26391i
\(423\) 0.153931 + 1.06203i 0.00748439 + 0.0516379i
\(424\) 5.32840 30.2188i 0.258770 1.46756i
\(425\) −13.5447 + 7.82001i −0.657012 + 0.379326i
\(426\) −40.3852 + 39.1681i −1.95667 + 1.89770i
\(427\) −4.02883 3.38059i −0.194969 0.163598i
\(428\) −29.0602 24.3844i −1.40468 1.17866i
\(429\) −20.9680 5.96359i −1.01234 0.287925i
\(430\) −0.706588 + 0.407949i −0.0340747 + 0.0196730i
\(431\) 6.11308 34.6690i 0.294457 1.66995i −0.374946 0.927047i \(-0.622339\pi\)
0.669402 0.742900i \(-0.266550\pi\)
\(432\) −11.5432 + 14.9732i −0.555371 + 0.720397i
\(433\) −19.7644 + 23.5543i −0.949816 + 1.13195i 0.0413267 + 0.999146i \(0.486842\pi\)
−0.991143 + 0.132801i \(0.957603\pi\)
\(434\) 5.49863 15.1074i 0.263943 0.725177i
\(435\) 0.0311417 + 0.0695415i 0.00149313 + 0.00333426i
\(436\) −19.4278 + 11.2167i −0.930424 + 0.537181i
\(437\) 0.368243 1.79242i 0.0176154 0.0857429i
\(438\) −15.1269 60.1182i −0.722790 2.87256i
\(439\) 18.0716 + 21.5369i 0.862510 + 1.02790i 0.999304 + 0.0373002i \(0.0118758\pi\)
−0.136794 + 0.990600i \(0.543680\pi\)
\(440\) 0.733799 + 4.16158i 0.0349825 + 0.198396i
\(441\) 19.2011 + 3.99489i 0.914340 + 0.190233i
\(442\) −14.5835 + 12.2370i −0.693666 + 0.582055i
\(443\) −9.02653 + 10.7574i −0.428863 + 0.511099i −0.936594 0.350417i \(-0.886040\pi\)
0.507731 + 0.861516i \(0.330484\pi\)
\(444\) −23.9974 24.7431i −1.13887 1.17426i
\(445\) 1.30351 + 0.752583i 0.0617924 + 0.0356758i
\(446\) −5.13992 + 6.12552i −0.243382 + 0.290052i
\(447\) 0.891158 + 12.3612i 0.0421503 + 0.584663i
\(448\) 5.91773 0.279586
\(449\) −12.7630 + 22.1062i −0.602325 + 1.04326i 0.390143 + 0.920754i \(0.372425\pi\)
−0.992468 + 0.122503i \(0.960908\pi\)
\(450\) −11.3749 34.5014i −0.536217 1.62641i
\(451\) 37.9384 + 45.2132i 1.78645 + 2.12901i
\(452\) 56.7513 20.6558i 2.66936 0.971567i
\(453\) −12.3446 27.5664i −0.580001 1.29518i
\(454\) 5.33086 + 30.2328i 0.250189 + 1.41889i
\(455\) −0.148815 0.257755i −0.00697654 0.0120837i
\(456\) 35.3743 + 4.64838i 1.65655 + 0.217680i
\(457\) −6.57163 + 11.3824i −0.307408 + 0.532446i −0.977795 0.209566i \(-0.932795\pi\)
0.670386 + 0.742012i \(0.266128\pi\)
\(458\) 9.89853 + 3.60277i 0.462528 + 0.168346i
\(459\) 12.9530 + 9.98576i 0.604594 + 0.466096i
\(460\) 0.223365 + 0.187425i 0.0104144 + 0.00873875i
\(461\) −3.13578 + 0.552922i −0.146048 + 0.0257522i −0.246194 0.969221i \(-0.579180\pi\)
0.100146 + 0.994973i \(0.468069\pi\)
\(462\) −12.0522 + 8.16713i −0.560717 + 0.379969i
\(463\) 3.17519 0.147564 0.0737818 0.997274i \(-0.476493\pi\)
0.0737818 + 0.997274i \(0.476493\pi\)
\(464\) −0.453879 + 0.786141i −0.0210708 + 0.0364957i
\(465\) −1.66183 2.45234i −0.0770655 0.113725i
\(466\) −35.4494 6.25068i −1.64216 0.289557i
\(467\) 14.5792 8.41731i 0.674645 0.389507i −0.123189 0.992383i \(-0.539312\pi\)
0.797834 + 0.602877i \(0.205979\pi\)
\(468\) −13.8805 25.8360i −0.641624 1.19427i
\(469\) −5.09885 0.899064i −0.235443 0.0415149i
\(470\) 0.0266923 + 0.151379i 0.00123122 + 0.00698261i
\(471\) −7.96209 11.7496i −0.366874 0.541391i
\(472\) 11.9721 10.0458i 0.551059 0.462393i
\(473\) −9.48246 + 1.67201i −0.436004 + 0.0768792i
\(474\) 6.90367 24.2733i 0.317096 1.11491i
\(475\) −14.3827 + 16.1941i −0.659922 + 0.743038i
\(476\) 8.43258i 0.386507i
\(477\) 7.21924 18.0924i 0.330546 0.828396i
\(478\) −34.4294 + 6.07083i −1.57476 + 0.277673i
\(479\) 3.80159 + 10.4448i 0.173699 + 0.477235i 0.995741 0.0921921i \(-0.0293874\pi\)
−0.822042 + 0.569427i \(0.807165\pi\)
\(480\) 0.104587 0.144606i 0.00477373 0.00660034i
\(481\) 11.7820 4.28831i 0.537215 0.195530i
\(482\) 19.3749i 0.882501i
\(483\) −0.135283 + 0.475656i −0.00615560 + 0.0216431i
\(484\) −10.0673 + 57.0946i −0.457606 + 2.59521i
\(485\) 2.25272 0.819924i 0.102291 0.0372308i
\(486\) −28.8368 + 24.7315i −1.30807 + 1.12184i
\(487\) 28.5991 + 16.5117i 1.29595 + 0.748216i 0.979702 0.200461i \(-0.0642439\pi\)
0.316247 + 0.948677i \(0.397577\pi\)
\(488\) −27.9939 23.4896i −1.26722 1.06333i
\(489\) 0.320256 3.11154i 0.0144825 0.140709i
\(490\) 2.76657 + 0.487822i 0.124981 + 0.0220375i
\(491\) −4.21825 5.02711i −0.190367 0.226870i 0.662416 0.749136i \(-0.269531\pi\)
−0.852783 + 0.522266i \(0.825087\pi\)
\(492\) −8.12997 + 78.9890i −0.366527 + 3.56110i
\(493\) 0.680075 + 0.392641i 0.0306290 + 0.0176837i
\(494\) −13.8180 + 22.4524i −0.621702 + 1.01018i
\(495\) −0.0820631 + 2.68137i −0.00368846 + 0.120519i
\(496\) 12.0706 33.1638i 0.541987 1.48910i
\(497\) −8.51809 3.10033i −0.382088 0.139069i
\(498\) −3.40665 + 2.30851i −0.152655 + 0.103447i
\(499\) −9.81287 3.57159i −0.439285 0.159887i 0.112904 0.993606i \(-0.463985\pi\)
−0.552188 + 0.833719i \(0.686207\pi\)
\(500\) −2.36822 6.50662i −0.105910 0.290985i
\(501\) −18.0701 + 17.5256i −0.807314 + 0.782984i
\(502\) 57.1245i 2.54959i
\(503\) 6.21077 + 17.0640i 0.276925 + 0.760844i 0.997707 + 0.0676826i \(0.0215605\pi\)
−0.720782 + 0.693161i \(0.756217\pi\)
\(504\) −9.44000 1.96404i −0.420491 0.0874851i
\(505\) −1.39499 2.41619i −0.0620761 0.107519i
\(506\) 2.59410 + 4.49312i 0.115322 + 0.199744i
\(507\) −11.8176 + 0.851967i −0.524837 + 0.0378372i
\(508\) −21.5619 + 59.2408i −0.956653 + 2.62838i
\(509\) 1.45182 8.23367i 0.0643507 0.364951i −0.935579 0.353117i \(-0.885122\pi\)
0.999930 0.0118342i \(-0.00376705\pi\)
\(510\) 1.89826 + 1.37293i 0.0840565 + 0.0607942i
\(511\) 7.65160 6.42045i 0.338487 0.284024i
\(512\) 36.5150 1.61375
\(513\) 21.3846 + 7.46325i 0.944152 + 0.329511i
\(514\) −12.9441 −0.570938
\(515\) 0.658450 0.552506i 0.0290148 0.0243463i
\(516\) −10.4966 7.59172i −0.462088 0.334207i
\(517\) −0.315006 + 1.78649i −0.0138540 + 0.0785697i
\(518\) 2.86393 7.86858i 0.125834 0.345726i
\(519\) 32.9903 2.37838i 1.44812 0.104399i
\(520\) −1.03402 1.79098i −0.0453449 0.0785396i
\(521\) 0.915257 + 1.58527i 0.0400982 + 0.0694520i 0.885378 0.464872i \(-0.153900\pi\)
−0.845280 + 0.534324i \(0.820566\pi\)
\(522\) −1.21466 + 1.36077i −0.0531642 + 0.0595592i
\(523\) 7.02772 + 19.3085i 0.307301 + 0.844302i 0.993180 + 0.116587i \(0.0371954\pi\)
−0.685880 + 0.727715i \(0.740582\pi\)
\(524\) 14.0963i 0.615801i
\(525\) 4.20179 4.07516i 0.183381 0.177854i
\(526\) 20.7348 + 56.9683i 0.904078 + 2.48394i
\(527\) −28.6893 10.4420i −1.24972 0.454863i
\(528\) −26.4569 + 17.9285i −1.15139 + 0.780239i
\(529\) −21.4473 7.80619i −0.932493 0.339400i
\(530\) 0.954318 2.62197i 0.0414529 0.113891i
\(531\) 8.73981 4.69548i 0.379276 0.203767i
\(532\) 3.68423 + 11.0814i 0.159732 + 0.480440i
\(533\) −25.0147 14.4422i −1.08350 0.625562i
\(534\) −3.68908 + 35.8423i −0.159642 + 1.55105i
\(535\) −1.09152 1.30083i −0.0471907 0.0562397i
\(536\) −35.4288 6.24705i −1.53029 0.269831i
\(537\) 1.25316 12.1754i 0.0540778 0.525408i
\(538\) −41.1705 34.5461i −1.77499 1.48939i
\(539\) 28.7115 + 16.5766i 1.23669 + 0.714004i
\(540\) −2.66644 + 2.43228i −0.114745 + 0.104669i
\(541\) −18.9614 + 6.90139i −0.815214 + 0.296714i −0.715776 0.698330i \(-0.753927\pi\)
−0.0994383 + 0.995044i \(0.531705\pi\)
\(542\) −0.145374 + 0.824456i −0.00624434 + 0.0354134i
\(543\) −12.0725 + 42.4468i −0.518079 + 1.82157i
\(544\) 1.83927i 0.0788579i
\(545\) −0.943628 + 0.343453i −0.0404206 + 0.0147119i
\(546\) 4.17545 5.77314i 0.178693 0.247068i
\(547\) 10.3522 + 28.4423i 0.442627 + 1.21611i 0.937758 + 0.347289i \(0.112898\pi\)
−0.495132 + 0.868818i \(0.664880\pi\)
\(548\) 38.9845 6.87402i 1.66534 0.293644i
\(549\) −14.3612 18.2190i −0.612920 0.777568i
\(550\) 61.4101i 2.61853i
\(551\) 1.06524 + 0.218849i 0.0453809 + 0.00932329i
\(552\) −0.940000 + 3.30504i −0.0400090 + 0.140672i
\(553\) 4.00436 0.706077i 0.170283 0.0300255i
\(554\) 47.0203 39.4547i 1.99770 1.67627i
\(555\) −0.865553 1.27729i −0.0367407 0.0542178i
\(556\) 5.22866 + 29.6532i 0.221744 + 1.25758i
\(557\) −32.1147 5.66269i −1.36074 0.239936i −0.554828 0.831965i \(-0.687216\pi\)
−0.805917 + 0.592029i \(0.798327\pi\)
\(558\) 37.3198 60.3011i 1.57987 2.55275i
\(559\) 4.08087 2.35609i 0.172602 0.0996520i
\(560\) −0.429712 0.0757698i −0.0181587 0.00320186i
\(561\) 15.5096 + 22.8873i 0.654816 + 0.966304i
\(562\) −11.3854 + 19.7201i −0.480265 + 0.831844i
\(563\) 9.73673 0.410354 0.205177 0.978725i \(-0.434223\pi\)
0.205177 + 0.978725i \(0.434223\pi\)
\(564\) −2.02039 + 1.36911i −0.0850736 + 0.0576501i
\(565\) 2.66234 0.469442i 0.112005 0.0197496i
\(566\) −15.0222 12.6051i −0.631428 0.529831i
\(567\) −5.61313 2.44135i −0.235729 0.102527i
\(568\) −59.1870 21.5423i −2.48343 0.903895i
\(569\) −0.953311 + 1.65118i −0.0399649 + 0.0692212i −0.885316 0.464990i \(-0.846058\pi\)
0.845351 + 0.534211i \(0.179391\pi\)
\(570\) 3.09438 + 0.974827i 0.129609 + 0.0408310i
\(571\) −22.4448 38.8755i −0.939286 1.62689i −0.766807 0.641877i \(-0.778156\pi\)
−0.172478 0.985013i \(-0.555177\pi\)
\(572\) −8.60909 48.8246i −0.359964 2.04146i
\(573\) 6.04295 + 13.4943i 0.252448 + 0.563734i
\(574\) −18.1270 + 6.59768i −0.756605 + 0.275382i
\(575\) −1.34081 1.59792i −0.0559157 0.0666377i
\(576\) 25.5558 + 5.31701i 1.06483 + 0.221542i
\(577\) 4.60536 7.97671i 0.191724 0.332075i −0.754098 0.656762i \(-0.771926\pi\)
0.945822 + 0.324687i \(0.105259\pi\)
\(578\) −17.2853 −0.718974
\(579\) −1.11861 15.5161i −0.0464878 0.644828i
\(580\) −0.111388 + 0.132747i −0.00462514 + 0.00551203i
\(581\) −0.574220 0.331526i −0.0238227 0.0137540i
\(582\) 39.9540 + 41.1955i 1.65615 + 1.70761i
\(583\) 21.1662 25.2249i 0.876614 1.04471i
\(584\) 53.1663 44.6118i 2.20004 1.84605i
\(585\) −0.411070 1.24683i −0.0169956 0.0515500i
\(586\) 10.5725 + 59.9596i 0.436746 + 2.47691i
\(587\) −11.3944 13.5794i −0.470299 0.560480i 0.477795 0.878471i \(-0.341436\pi\)
−0.948094 + 0.317991i \(0.896992\pi\)
\(588\) 10.8838 + 43.2552i 0.448841 + 1.78381i
\(589\) −42.2633 1.18760i −1.74143 0.0489344i
\(590\) 1.23072 0.710558i 0.0506681 0.0292532i
\(591\) −5.94480 13.2752i −0.244536 0.546067i
\(592\) 6.28691 17.2731i 0.258390 0.709921i
\(593\) −14.9759 + 17.8476i −0.614988 + 0.732914i −0.980200 0.198010i \(-0.936552\pi\)
0.365212 + 0.930924i \(0.380996\pi\)
\(594\) −59.3856 + 24.4412i −2.43662 + 1.00284i
\(595\) −0.0655469 + 0.371735i −0.00268716 + 0.0152397i
\(596\) −24.4093 + 14.0927i −0.999844 + 0.577260i
\(597\) −10.5784 3.00865i −0.432946 0.123136i
\(598\) −1.94502 1.63207i −0.0795378 0.0667401i
\(599\) −10.1981 8.55723i −0.416683 0.349639i 0.410216 0.911988i \(-0.365453\pi\)
−0.826900 + 0.562349i \(0.809898\pi\)
\(600\) 29.1956 28.3158i 1.19191 1.15599i
\(601\) 3.88142 2.24094i 0.158327 0.0914099i −0.418743 0.908105i \(-0.637529\pi\)
0.577070 + 0.816695i \(0.304196\pi\)
\(602\) 0.546472 3.09920i 0.0222725 0.126314i
\(603\) −21.2117 8.46389i −0.863807 0.344676i
\(604\) 44.1545 52.6213i 1.79662 2.14113i
\(605\) −0.887599 + 2.43866i −0.0360860 + 0.0991456i
\(606\) 39.1406 54.1174i 1.58998 2.19837i
\(607\) 11.4577 6.61510i 0.465053 0.268499i −0.249113 0.968474i \(-0.580139\pi\)
0.714167 + 0.699976i \(0.246806\pi\)
\(608\) −0.803584 2.41701i −0.0325896 0.0980228i
\(609\) −0.282685 0.0803997i −0.0114550 0.00325796i
\(610\) −2.13595 2.54553i −0.0864821 0.103065i
\(611\) −0.154160 0.874286i −0.00623665 0.0353698i
\(612\) −7.57658 + 36.4163i −0.306265 + 1.47204i
\(613\) 10.4469 8.76601i 0.421948 0.354056i −0.406956 0.913448i \(-0.633410\pi\)
0.828903 + 0.559392i \(0.188965\pi\)
\(614\) −26.3473 + 31.3995i −1.06329 + 1.26718i
\(615\) −0.972380 + 3.41889i −0.0392102 + 0.137863i
\(616\) −14.1156 8.14966i −0.568735 0.328359i
\(617\) 6.47210 7.71315i 0.260557 0.310520i −0.619867 0.784707i \(-0.712814\pi\)
0.880424 + 0.474187i \(0.157258\pi\)
\(618\) 18.5133 + 8.98021i 0.744716 + 0.361237i
\(619\) −17.2670 −0.694018 −0.347009 0.937862i \(-0.612803\pi\)
−0.347009 + 0.937862i \(0.612803\pi\)
\(620\) 3.36860 5.83459i 0.135286 0.234323i
\(621\) −1.01159 + 1.93258i −0.0405939 + 0.0775518i
\(622\) 17.5077 + 20.8649i 0.701995 + 0.836605i
\(623\) −5.45548 + 1.98563i −0.218569 + 0.0795526i
\(624\) 9.16596 12.6732i 0.366932 0.507335i
\(625\) 4.26039 + 24.1619i 0.170415 + 0.966474i
\(626\) 11.8293 + 20.4890i 0.472795 + 0.818904i
\(627\) 30.3810 + 23.3004i 1.21330 + 0.930530i
\(628\) 16.1395 27.9544i 0.644036 1.11550i
\(629\) −14.9426 5.43867i −0.595802 0.216854i
\(630\) −0.814341 0.324938i −0.0324441 0.0129458i
\(631\) −18.9204 15.8761i −0.753208 0.632017i 0.183141 0.983087i \(-0.441373\pi\)
−0.936349 + 0.351070i \(0.885818\pi\)
\(632\) 27.8239 4.90610i 1.10677 0.195154i
\(633\) 21.6737 + 10.5132i 0.861451 + 0.417862i
\(634\) 36.7857 1.46095
\(635\) −1.41100 + 2.44392i −0.0559937 + 0.0969840i
\(636\) 44.1869 3.18558i 1.75212 0.126316i
\(637\) −15.9782 2.81739i −0.633081 0.111629i
\(638\) −2.67029 + 1.54169i −0.105718 + 0.0610363i
\(639\) −33.9999 21.0423i −1.34502 0.832419i
\(640\) 3.47924 + 0.613484i 0.137529 + 0.0242501i
\(641\) −1.43513 8.13903i −0.0566842 0.321472i 0.943260 0.332056i \(-0.107742\pi\)
−0.999944 + 0.0105835i \(0.996631\pi\)
\(642\) 17.7412 36.5748i 0.700190 1.44349i
\(643\) 17.9288 15.0440i 0.707041 0.593278i −0.216726 0.976232i \(-0.569538\pi\)
0.923767 + 0.382954i \(0.125093\pi\)
\(644\) −1.10758 + 0.195296i −0.0436447 + 0.00769575i
\(645\) −0.403713 0.416258i −0.0158962 0.0163901i
\(646\) 31.7284 10.5487i 1.24834 0.415034i
\(647\) 38.0849i 1.49727i −0.662982 0.748635i \(-0.730709\pi\)
0.662982 0.748635i \(-0.269291\pi\)
\(648\) −39.0022 16.9635i −1.53215 0.666388i
\(649\) 16.5164 2.91229i 0.648325 0.114317i
\(650\) 10.2788 + 28.2409i 0.403169 + 1.10770i
\(651\) 11.3662 + 1.16987i 0.445475 + 0.0458507i
\(652\) 6.68481 2.43307i 0.261797 0.0952864i
\(653\) 25.0470i 0.980164i 0.871676 + 0.490082i \(0.163033\pi\)
−0.871676 + 0.490082i \(0.836967\pi\)
\(654\) −16.7361 17.2561i −0.654433 0.674768i
\(655\) 0.109571 0.621411i 0.00428131 0.0242805i
\(656\) −39.7924 + 14.4832i −1.55363 + 0.565476i
\(657\) 38.8123 20.8520i 1.51421 0.813514i
\(658\) −0.513462 0.296447i −0.0200168 0.0115567i
\(659\) −20.1652 16.9206i −0.785525 0.659134i 0.159108 0.987261i \(-0.449138\pi\)
−0.944634 + 0.328127i \(0.893583\pi\)
\(660\) −5.56816 + 2.49350i −0.216740 + 0.0970594i
\(661\) 32.1080 + 5.66150i 1.24886 + 0.220207i 0.758707 0.651432i \(-0.225831\pi\)
0.490148 + 0.871639i \(0.336943\pi\)
\(662\) 20.6791 + 24.6444i 0.803716 + 0.957831i
\(663\) −10.9633 7.92928i −0.425781 0.307948i
\(664\) −3.98990 2.30357i −0.154838 0.0893959i
\(665\) 0.0762763 + 0.517141i 0.00295787 + 0.0200539i
\(666\) 19.4378 31.4074i 0.753198 1.21701i
\(667\) −0.0358212 + 0.0984180i −0.00138700 + 0.00381076i
\(668\) −53.7971 19.5805i −2.08147 0.757594i
\(669\) −5.11333 2.48031i −0.197693 0.0958942i
\(670\) −3.07401 1.11885i −0.118759 0.0432249i
\(671\) −13.4125 36.8505i −0.517783 1.42260i
\(672\) 0.167968 + 0.667549i 0.00647950 + 0.0257513i
\(673\) 35.9564i 1.38602i 0.720930 + 0.693008i \(0.243715\pi\)
−0.720930 + 0.693008i \(0.756285\pi\)
\(674\) 17.5148 + 48.1216i 0.674646 + 1.85357i
\(675\) 21.8070 13.8234i 0.839351 0.532063i
\(676\) −13.4730 23.3359i −0.518191 0.897534i
\(677\) 15.4187 + 26.7060i 0.592590 + 1.02640i 0.993882 + 0.110446i \(0.0352280\pi\)
−0.401292 + 0.915950i \(0.631439\pi\)
\(678\) 36.3043 + 53.5739i 1.39426 + 2.05749i
\(679\) −3.16254 + 8.68901i −0.121367 + 0.333453i
\(680\) −0.455445 + 2.58296i −0.0174655 + 0.0990520i
\(681\) −19.9131 + 8.91735i −0.763070 + 0.341714i
\(682\) 91.8312 77.0555i 3.51640 2.95061i
\(683\) 23.5676 0.901789 0.450895 0.892577i \(-0.351105\pi\)
0.450895 + 0.892577i \(0.351105\pi\)
\(684\) 5.95392 + 51.1656i 0.227654 + 1.95636i
\(685\) 1.77199 0.0677044
\(686\) −17.1884 + 14.4228i −0.656257 + 0.550665i
\(687\) −0.766510 + 7.44725i −0.0292442 + 0.284130i
\(688\) 1.19962 6.80337i 0.0457350 0.259376i
\(689\) −5.51162 + 15.1431i −0.209976 + 0.576905i
\(690\) −0.136364 + 0.281124i −0.00519129 + 0.0107022i
\(691\) −11.1790 19.3626i −0.425269 0.736587i 0.571177 0.820827i \(-0.306487\pi\)
−0.996445 + 0.0842402i \(0.973154\pi\)
\(692\) 37.6116 + 65.1453i 1.42978 + 2.47645i
\(693\) −7.71924 6.89041i −0.293230 0.261745i
\(694\) −7.41418 20.3703i −0.281439 0.773246i
\(695\) 1.34785i 0.0511269i
\(696\) −1.96421 0.558648i −0.0744531 0.0211755i
\(697\) 12.5292 + 34.4236i 0.474576 + 1.30389i
\(698\) −17.9565 6.53562i −0.679662 0.247377i
\(699\) −1.83961 25.5170i −0.0695804 0.965143i
\(700\) 12.5092 + 4.55299i 0.472805 + 0.172087i
\(701\) −11.7795 + 32.3639i −0.444906 + 1.22237i 0.491323 + 0.870977i \(0.336513\pi\)
−0.936229 + 0.351391i \(0.885709\pi\)
\(702\) 23.2189 21.1799i 0.876340 0.799382i
\(703\) −22.0126 0.618556i −0.830219 0.0233293i
\(704\) 38.2136 + 22.0627i 1.44023 + 0.831518i
\(705\) −0.0997072 + 0.0446503i −0.00375519 + 0.00168163i
\(706\) −0.268712 0.320239i −0.0101131 0.0120523i
\(707\) 10.5978 + 1.86867i 0.398570 + 0.0702786i
\(708\) 18.2828 + 13.2231i 0.687112 + 0.496956i
\(709\) 19.0902 + 16.0186i 0.716948 + 0.601591i 0.926539 0.376198i \(-0.122769\pi\)
−0.209591 + 0.977789i \(0.567213\pi\)
\(710\) −4.96005 2.86368i −0.186147 0.107472i
\(711\) 17.9273 + 0.548664i 0.672328 + 0.0205765i
\(712\) −37.9068 + 13.7969i −1.42062 + 0.517062i
\(713\) 0.707077 4.01003i 0.0264803 0.150177i
\(714\) −8.76299 + 2.20493i −0.327947 + 0.0825175i
\(715\) 2.21926i 0.0829957i
\(716\) 26.1576 9.52058i 0.977555 0.355801i
\(717\) −10.1552 22.6772i −0.379252 0.846895i
\(718\) −11.8916 32.6718i −0.443790 1.21930i
\(719\) 3.48510 0.614518i 0.129972 0.0229177i −0.108283 0.994120i \(-0.534535\pi\)
0.238256 + 0.971202i \(0.423424\pi\)
\(720\) −1.78764 0.713305i −0.0666215 0.0265833i
\(721\) 3.31537i 0.123471i
\(722\) 37.0861 27.7245i 1.38020 1.03180i
\(723\) −13.3539 + 3.36009i −0.496636 + 0.124963i
\(724\) −98.8388 + 17.4279i −3.67331 + 0.647704i
\(725\) 0.949652 0.796853i 0.0352692 0.0295944i
\(726\) −61.9641 + 4.46719i −2.29970 + 0.165793i
\(727\) −2.17554 12.3381i −0.0806863 0.457595i −0.998204 0.0599007i \(-0.980922\pi\)
0.917518 0.397694i \(-0.130190\pi\)
\(728\) 7.85550 + 1.38514i 0.291144 + 0.0513366i
\(729\) −22.0469 15.5864i −0.816551 0.577273i
\(730\) 5.46547 3.15549i 0.202286 0.116790i
\(731\) −5.88545 1.03776i −0.217681 0.0383831i
\(732\) 23.0260 47.4698i 0.851066 1.75453i
\(733\) 19.4345 33.6615i 0.717829 1.24332i −0.244029 0.969768i \(-0.578469\pi\)
0.961858 0.273549i \(-0.0881975\pi\)
\(734\) 11.0119 0.406458
\(735\) 0.143569 + 1.99143i 0.00529560 + 0.0734549i
\(736\) 0.241579 0.0425969i 0.00890472 0.00157014i
\(737\) −29.5738 24.8154i −1.08937 0.914086i
\(738\) −84.2097 + 12.2053i −3.09980 + 0.449285i
\(739\) −26.3214 9.58021i −0.968249 0.352414i −0.190988 0.981592i \(-0.561169\pi\)
−0.777261 + 0.629179i \(0.783391\pi\)
\(740\) 1.75451 3.03891i 0.0644972 0.111712i
\(741\) −17.8715 5.63008i −0.656524 0.206826i
\(742\) 5.38113 + 9.32040i 0.197548 + 0.342162i
\(743\) −3.32856 18.8772i −0.122113 0.692536i −0.982981 0.183708i \(-0.941190\pi\)
0.860868 0.508828i \(-0.169921\pi\)
\(744\) 78.9766 + 8.12868i 2.89542 + 0.298012i
\(745\) −1.18558 + 0.431517i −0.0434364 + 0.0158096i
\(746\) 10.6802 + 12.7282i 0.391031 + 0.466012i
\(747\) −2.18191 1.94763i −0.0798319 0.0712602i
\(748\) −31.4386 + 54.4533i −1.14951 + 1.99101i
\(749\) 6.54980 0.239325
\(750\) 6.14232 4.16234i 0.224286 0.151987i
\(751\) 11.0746 13.1982i 0.404118 0.481609i −0.525153 0.851008i \(-0.675992\pi\)
0.929271 + 0.369399i \(0.120436\pi\)
\(752\) −1.12715 0.650762i −0.0411030 0.0237309i
\(753\) −39.3724 + 9.90683i −1.43481 + 0.361025i
\(754\) 0.969948 1.15594i 0.0353234 0.0420968i
\(755\) 2.35550 1.97650i 0.0857254 0.0719321i
\(756\) −0.575790 13.9090i −0.0209413 0.505864i
\(757\) 1.00826 + 5.71811i 0.0366457 + 0.207828i 0.997633 0.0687647i \(-0.0219058\pi\)
−0.960987 + 0.276593i \(0.910795\pi\)
\(758\) −3.81347 4.54471i −0.138511 0.165071i
\(759\) −2.64694 + 2.56717i −0.0960780 + 0.0931825i
\(760\) 0.529997 + 3.59330i 0.0192250 + 0.130343i
\(761\) −12.8353 + 7.41048i −0.465280 + 0.268630i −0.714262 0.699878i \(-0.753237\pi\)
0.248982 + 0.968508i \(0.419904\pi\)
\(762\) −67.1999 6.91656i −2.43439 0.250561i
\(763\) 1.32474 3.63968i 0.0479587 0.131765i
\(764\) −21.6146 + 25.7592i −0.781988 + 0.931936i
\(765\) −0.617066 + 1.54645i −0.0223101 + 0.0559121i
\(766\) 3.39065 19.2293i 0.122509 0.694783i
\(767\) −7.10800 + 4.10380i −0.256655 + 0.148180i
\(768\) 13.2821 + 52.7867i 0.479277 + 1.90477i
\(769\) −28.2272 23.6854i −1.01790 0.854118i −0.0285362 0.999593i \(-0.509085\pi\)
−0.989362 + 0.145475i \(0.953529\pi\)
\(770\) −1.13537 0.952691i −0.0409160 0.0343326i
\(771\) −2.24483 8.92154i −0.0808455 &minu