Properties

Label 144.2.x.e.85.15
Level $144$
Weight $2$
Character 144.85
Analytic conductor $1.150$
Analytic rank $0$
Dimension $72$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 144 = 2^{4} \cdot 3^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 144.x (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.14984578911\)
Analytic rank: \(0\)
Dimension: \(72\)
Relative dimension: \(18\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 85.15
Character \(\chi\) \(=\) 144.85
Dual form 144.2.x.e.61.15

$q$-expansion

\(f(q)\) \(=\) \(q+(1.10904 - 0.877514i) q^{2} +(1.71513 - 0.241506i) q^{3} +(0.459938 - 1.94640i) q^{4} +(-1.98415 + 0.531653i) q^{5} +(1.69022 - 1.77289i) q^{6} +(-1.54969 + 0.894715i) q^{7} +(-1.19790 - 2.56223i) q^{8} +(2.88335 - 0.828427i) q^{9} +O(q^{10})\) \(q+(1.10904 - 0.877514i) q^{2} +(1.71513 - 0.241506i) q^{3} +(0.459938 - 1.94640i) q^{4} +(-1.98415 + 0.531653i) q^{5} +(1.69022 - 1.77289i) q^{6} +(-1.54969 + 0.894715i) q^{7} +(-1.19790 - 2.56223i) q^{8} +(2.88335 - 0.828427i) q^{9} +(-1.73397 + 2.33075i) q^{10} +(-0.693015 + 2.58637i) q^{11} +(0.318788 - 3.44940i) q^{12} +(1.24314 + 4.63944i) q^{13} +(-0.933545 + 2.35215i) q^{14} +(-3.27469 + 1.39104i) q^{15} +(-3.57691 - 1.79044i) q^{16} -3.58889 q^{17} +(2.47079 - 3.44894i) q^{18} +(4.85244 - 4.85244i) q^{19} +(0.122219 + 4.10648i) q^{20} +(-2.44185 + 1.90881i) q^{21} +(1.50099 + 3.47651i) q^{22} +(0.446082 + 0.257545i) q^{23} +(-2.67335 - 4.10526i) q^{24} +(-0.675912 + 0.390238i) q^{25} +(5.44986 + 4.05446i) q^{26} +(4.74525 - 2.11721i) q^{27} +(1.02871 + 3.42783i) q^{28} +(-6.44956 - 1.72815i) q^{29} +(-2.41110 + 4.41630i) q^{30} +(4.05128 - 7.01703i) q^{31} +(-5.53808 + 1.15312i) q^{32} +(-0.563989 + 4.60332i) q^{33} +(-3.98022 + 3.14930i) q^{34} +(2.59915 - 2.59915i) q^{35} +(-0.286286 - 5.99317i) q^{36} +(1.25948 + 1.25948i) q^{37} +(1.12346 - 9.63963i) q^{38} +(3.25259 + 7.65703i) q^{39} +(3.73904 + 4.44700i) q^{40} +(-4.07959 - 2.35535i) q^{41} +(-1.03309 + 4.25971i) q^{42} +(-1.76222 + 6.57670i) q^{43} +(4.71535 + 2.53845i) q^{44} +(-5.28058 + 3.17667i) q^{45} +(0.720722 - 0.105815i) q^{46} +(-3.48945 - 6.04391i) q^{47} +(-6.56728 - 2.20700i) q^{48} +(-1.89897 + 3.28911i) q^{49} +(-0.407174 + 1.02591i) q^{50} +(-6.15542 + 0.866737i) q^{51} +(9.60196 - 0.285778i) q^{52} +(5.26302 + 5.26302i) q^{53} +(3.40480 - 6.51209i) q^{54} -5.50019i q^{55} +(4.14885 + 2.89889i) q^{56} +(7.15068 - 9.49446i) q^{57} +(-8.66930 + 3.74299i) q^{58} +(6.76946 - 1.81387i) q^{59} +(1.20136 + 7.01363i) q^{60} +(5.78773 + 1.55082i) q^{61} +(-1.66451 - 11.3372i) q^{62} +(-3.72710 + 3.86359i) q^{63} +(-5.13007 + 6.13860i) q^{64} +(-4.93314 - 8.54446i) q^{65} +(3.41399 + 5.60018i) q^{66} +(-0.453328 - 1.69184i) q^{67} +(-1.65067 + 6.98540i) q^{68} +(0.827288 + 0.333993i) q^{69} +(0.601770 - 5.16335i) q^{70} -7.58339i q^{71} +(-5.57659 - 6.39544i) q^{72} -12.5473i q^{73} +(2.50202 + 0.291601i) q^{74} +(-1.06503 + 0.832546i) q^{75} +(-7.21295 - 11.6766i) q^{76} +(-1.24010 - 4.62812i) q^{77} +(10.3264 + 5.63776i) q^{78} +(-4.01735 - 6.95825i) q^{79} +(8.04904 + 1.65084i) q^{80} +(7.62742 - 4.77729i) q^{81} +(-6.59129 + 0.967720i) q^{82} +(7.99826 + 2.14313i) q^{83} +(2.59221 + 5.63074i) q^{84} +(7.12091 - 1.90804i) q^{85} +(3.81677 + 8.84019i) q^{86} +(-11.4792 - 1.40641i) q^{87} +(7.45703 - 1.32255i) q^{88} +16.5414i q^{89} +(-3.06880 + 8.15683i) q^{90} +(-6.07746 - 6.07746i) q^{91} +(0.706455 - 0.749797i) q^{92} +(5.25383 - 13.0135i) q^{93} +(-9.17356 - 3.64089i) q^{94} +(-7.04818 + 12.2078i) q^{95} +(-9.22005 + 3.31523i) q^{96} +(-4.15739 - 7.20082i) q^{97} +(0.780209 + 5.31413i) q^{98} +(0.144412 + 8.03151i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 72q + 4q^{2} + 2q^{3} - 2q^{4} + 4q^{5} - 28q^{6} - 8q^{8} + O(q^{10}) \) \( 72q + 4q^{2} + 2q^{3} - 2q^{4} + 4q^{5} - 28q^{6} - 8q^{8} - 20q^{10} - 2q^{11} + 8q^{12} - 16q^{13} - 4q^{14} - 20q^{15} - 10q^{16} - 16q^{17} + 28q^{19} + 12q^{20} - 16q^{21} - 8q^{22} - 40q^{24} - 4q^{26} + 8q^{27} - 16q^{28} + 4q^{29} + 18q^{30} + 28q^{31} - 46q^{32} - 32q^{33} - 14q^{34} - 16q^{35} + 14q^{36} + 16q^{37} + 2q^{38} - 10q^{40} + 26q^{42} - 10q^{43} + 60q^{44} + 40q^{45} + 20q^{46} - 56q^{47} + 2q^{48} + 4q^{49} - 36q^{50} - 54q^{51} + 6q^{52} - 8q^{53} + 92q^{54} + 52q^{56} - 14q^{58} - 14q^{59} + 18q^{60} - 32q^{61} + 16q^{62} - 108q^{63} - 44q^{64} - 64q^{65} + 26q^{66} - 18q^{67} + 16q^{68} + 32q^{69} + 14q^{70} + 114q^{72} + 38q^{74} + 86q^{75} + 10q^{76} - 36q^{77} + 16q^{78} + 44q^{79} + 144q^{80} - 44q^{81} - 88q^{82} + 20q^{83} - 58q^{84} - 8q^{85} + 76q^{86} - 42q^{88} - 80q^{91} - 68q^{92} - 4q^{93} + 20q^{94} + 48q^{95} + 94q^{96} + 40q^{97} + 88q^{98} + 28q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/144\mathbb{Z}\right)^\times\).

\(n\) \(37\) \(65\) \(127\)
\(\chi(n)\) \(e\left(\frac{1}{4}\right)\) \(e\left(\frac{1}{3}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.10904 0.877514i 0.784209 0.620496i
\(3\) 1.71513 0.241506i 0.990231 0.139433i
\(4\) 0.459938 1.94640i 0.229969 0.973198i
\(5\) −1.98415 + 0.531653i −0.887341 + 0.237762i −0.673572 0.739122i \(-0.735241\pi\)
−0.213769 + 0.976884i \(0.568574\pi\)
\(6\) 1.69022 1.77289i 0.690031 0.723780i
\(7\) −1.54969 + 0.894715i −0.585729 + 0.338171i −0.763407 0.645918i \(-0.776475\pi\)
0.177678 + 0.984089i \(0.443141\pi\)
\(8\) −1.19790 2.56223i −0.423522 0.905886i
\(9\) 2.88335 0.828427i 0.961117 0.276142i
\(10\) −1.73397 + 2.33075i −0.548331 + 0.737047i
\(11\) −0.693015 + 2.58637i −0.208952 + 0.779819i 0.779257 + 0.626705i \(0.215597\pi\)
−0.988209 + 0.153114i \(0.951070\pi\)
\(12\) 0.318788 3.44940i 0.0920263 0.995757i
\(13\) 1.24314 + 4.63944i 0.344784 + 1.28675i 0.892865 + 0.450325i \(0.148692\pi\)
−0.548081 + 0.836425i \(0.684641\pi\)
\(14\) −0.933545 + 2.35215i −0.249500 + 0.628639i
\(15\) −3.27469 + 1.39104i −0.845521 + 0.359165i
\(16\) −3.57691 1.79044i −0.894229 0.447611i
\(17\) −3.58889 −0.870434 −0.435217 0.900326i \(-0.643328\pi\)
−0.435217 + 0.900326i \(0.643328\pi\)
\(18\) 2.47079 3.44894i 0.582371 0.812923i
\(19\) 4.85244 4.85244i 1.11323 1.11323i 0.120514 0.992712i \(-0.461546\pi\)
0.992712 0.120514i \(-0.0384543\pi\)
\(20\) 0.122219 + 4.10648i 0.0273290 + 0.918236i
\(21\) −2.44185 + 1.90881i −0.532855 + 0.416537i
\(22\) 1.50099 + 3.47651i 0.320013 + 0.741195i
\(23\) 0.446082 + 0.257545i 0.0930145 + 0.0537019i 0.545786 0.837925i \(-0.316231\pi\)
−0.452771 + 0.891627i \(0.649565\pi\)
\(24\) −2.67335 4.10526i −0.545695 0.837984i
\(25\) −0.675912 + 0.390238i −0.135182 + 0.0780476i
\(26\) 5.44986 + 4.05446i 1.06881 + 0.795145i
\(27\) 4.74525 2.11721i 0.913225 0.407457i
\(28\) 1.02871 + 3.42783i 0.194408 + 0.647799i
\(29\) −6.44956 1.72815i −1.19765 0.320910i −0.395746 0.918360i \(-0.629514\pi\)
−0.801906 + 0.597450i \(0.796181\pi\)
\(30\) −2.41110 + 4.41630i −0.440205 + 0.806303i
\(31\) 4.05128 7.01703i 0.727632 1.26030i −0.230249 0.973132i \(-0.573954\pi\)
0.957881 0.287164i \(-0.0927125\pi\)
\(32\) −5.53808 + 1.15312i −0.979003 + 0.203845i
\(33\) −0.563989 + 4.60332i −0.0981779 + 0.801336i
\(34\) −3.98022 + 3.14930i −0.682602 + 0.540101i
\(35\) 2.59915 2.59915i 0.439337 0.439337i
\(36\) −0.286286 5.99317i −0.0477143 0.998861i
\(37\) 1.25948 + 1.25948i 0.207057 + 0.207057i 0.803015 0.595959i \(-0.203228\pi\)
−0.595959 + 0.803015i \(0.703228\pi\)
\(38\) 1.12346 9.63963i 0.182250 1.56375i
\(39\) 3.25259 + 7.65703i 0.520831 + 1.22611i
\(40\) 3.73904 + 4.44700i 0.591194 + 0.703132i
\(41\) −4.07959 2.35535i −0.637126 0.367845i 0.146381 0.989228i \(-0.453238\pi\)
−0.783506 + 0.621384i \(0.786571\pi\)
\(42\) −1.03309 + 4.25971i −0.159410 + 0.657287i
\(43\) −1.76222 + 6.57670i −0.268736 + 1.00294i 0.691187 + 0.722676i \(0.257088\pi\)
−0.959924 + 0.280262i \(0.909579\pi\)
\(44\) 4.71535 + 2.53845i 0.710865 + 0.382685i
\(45\) −5.28058 + 3.17667i −0.787182 + 0.473550i
\(46\) 0.720722 0.105815i 0.106265 0.0156016i
\(47\) −3.48945 6.04391i −0.508989 0.881595i −0.999946 0.0104109i \(-0.996686\pi\)
0.490957 0.871184i \(-0.336647\pi\)
\(48\) −6.56728 2.20700i −0.947905 0.318553i
\(49\) −1.89897 + 3.28911i −0.271281 + 0.469873i
\(50\) −0.407174 + 1.02591i −0.0575831 + 0.145086i
\(51\) −6.15542 + 0.866737i −0.861931 + 0.121367i
\(52\) 9.60196 0.285778i 1.33155 0.0396303i
\(53\) 5.26302 + 5.26302i 0.722932 + 0.722932i 0.969201 0.246269i \(-0.0792048\pi\)
−0.246269 + 0.969201i \(0.579205\pi\)
\(54\) 3.40480 6.51209i 0.463334 0.886184i
\(55\) 5.50019i 0.741646i
\(56\) 4.14885 + 2.89889i 0.554413 + 0.387381i
\(57\) 7.15068 9.49446i 0.947131 1.25757i
\(58\) −8.66930 + 3.74299i −1.13833 + 0.491478i
\(59\) 6.76946 1.81387i 0.881308 0.236146i 0.210337 0.977629i \(-0.432544\pi\)
0.670972 + 0.741483i \(0.265877\pi\)
\(60\) 1.20136 + 7.01363i 0.155095 + 0.905456i
\(61\) 5.78773 + 1.55082i 0.741042 + 0.198562i 0.609541 0.792754i \(-0.291354\pi\)
0.131501 + 0.991316i \(0.458020\pi\)
\(62\) −1.66451 11.3372i −0.211393 1.43983i
\(63\) −3.72710 + 3.86359i −0.469570 + 0.486766i
\(64\) −5.13007 + 6.13860i −0.641258 + 0.767325i
\(65\) −4.93314 8.54446i −0.611881 1.05981i
\(66\) 3.41399 + 5.60018i 0.420234 + 0.689334i
\(67\) −0.453328 1.69184i −0.0553829 0.206692i 0.932690 0.360679i \(-0.117455\pi\)
−0.988073 + 0.153988i \(0.950788\pi\)
\(68\) −1.65067 + 6.98540i −0.200173 + 0.847104i
\(69\) 0.827288 + 0.333993i 0.0995937 + 0.0402080i
\(70\) 0.601770 5.16335i 0.0719252 0.617139i
\(71\) 7.58339i 0.899983i −0.893033 0.449992i \(-0.851427\pi\)
0.893033 0.449992i \(-0.148573\pi\)
\(72\) −5.57659 6.39544i −0.657207 0.753710i
\(73\) 12.5473i 1.46855i −0.678854 0.734273i \(-0.737523\pi\)
0.678854 0.734273i \(-0.262477\pi\)
\(74\) 2.50202 + 0.291601i 0.290854 + 0.0338979i
\(75\) −1.06503 + 0.832546i −0.122979 + 0.0961341i
\(76\) −7.21295 11.6766i −0.827382 1.33940i
\(77\) −1.24010 4.62812i −0.141323 0.527423i
\(78\) 10.3264 + 5.63776i 1.16924 + 0.638350i
\(79\) −4.01735 6.95825i −0.451987 0.782864i 0.546523 0.837444i \(-0.315951\pi\)
−0.998509 + 0.0545802i \(0.982618\pi\)
\(80\) 8.04904 + 1.65084i 0.899911 + 0.184569i
\(81\) 7.62742 4.77729i 0.847491 0.530810i
\(82\) −6.59129 + 0.967720i −0.727886 + 0.106867i
\(83\) 7.99826 + 2.14313i 0.877923 + 0.235239i 0.669511 0.742802i \(-0.266504\pi\)
0.208412 + 0.978041i \(0.433171\pi\)
\(84\) 2.59221 + 5.63074i 0.282833 + 0.614364i
\(85\) 7.12091 1.90804i 0.772371 0.206956i
\(86\) 3.81677 + 8.84019i 0.411573 + 0.953263i
\(87\) −11.4792 1.40641i −1.23070 0.150783i
\(88\) 7.45703 1.32255i 0.794922 0.140984i
\(89\) 16.5414i 1.75339i 0.481047 + 0.876695i \(0.340257\pi\)
−0.481047 + 0.876695i \(0.659743\pi\)
\(90\) −3.06880 + 8.15683i −0.323480 + 0.859806i
\(91\) −6.07746 6.07746i −0.637091 0.637091i
\(92\) 0.706455 0.749797i 0.0736531 0.0781717i
\(93\) 5.25383 13.0135i 0.544797 1.34944i
\(94\) −9.17356 3.64089i −0.946180 0.375529i
\(95\) −7.04818 + 12.2078i −0.723128 + 1.25249i
\(96\) −9.22005 + 3.31523i −0.941017 + 0.338359i
\(97\) −4.15739 7.20082i −0.422119 0.731132i 0.574027 0.818836i \(-0.305380\pi\)
−0.996147 + 0.0877040i \(0.972047\pi\)
\(98\) 0.780209 + 5.31413i 0.0788130 + 0.536808i
\(99\) 0.144412 + 8.03151i 0.0145140 + 0.807197i
\(100\) 0.448680 + 1.49508i 0.0448680 + 0.149508i
\(101\) 1.25971 4.70129i 0.125346 0.467796i −0.874506 0.485014i \(-0.838814\pi\)
0.999852 + 0.0172183i \(0.00548104\pi\)
\(102\) −6.06603 + 6.36271i −0.600626 + 0.630002i
\(103\) 6.13162 + 3.54009i 0.604166 + 0.348816i 0.770679 0.637224i \(-0.219917\pi\)
−0.166512 + 0.986039i \(0.553251\pi\)
\(104\) 10.3982 8.74279i 1.01963 0.857301i
\(105\) 3.83018 5.08560i 0.373787 0.496303i
\(106\) 10.4553 + 1.21852i 1.01551 + 0.118354i
\(107\) 6.68494 + 6.68494i 0.646258 + 0.646258i 0.952087 0.305829i \(-0.0989335\pi\)
−0.305829 + 0.952087i \(0.598934\pi\)
\(108\) −1.93840 10.2099i −0.186523 0.982451i
\(109\) −11.6423 + 11.6423i −1.11513 + 1.11513i −0.122687 + 0.992445i \(0.539151\pi\)
−0.992445 + 0.122687i \(0.960849\pi\)
\(110\) −4.82650 6.09993i −0.460188 0.581606i
\(111\) 2.46434 + 1.85600i 0.233905 + 0.176163i
\(112\) 7.14505 0.425686i 0.675144 0.0402235i
\(113\) 0.346060 0.599393i 0.0325545 0.0563861i −0.849289 0.527928i \(-0.822969\pi\)
0.881844 + 0.471542i \(0.156302\pi\)
\(114\) −0.401137 16.8046i −0.0375699 1.57389i
\(115\) −1.02202 0.273849i −0.0953039 0.0255366i
\(116\) −6.33007 + 11.7586i −0.587732 + 1.09175i
\(117\) 7.42784 + 12.3473i 0.686704 + 1.14151i
\(118\) 5.91590 7.95195i 0.544603 0.732036i
\(119\) 5.56168 3.21104i 0.509838 0.294355i
\(120\) 7.48691 + 6.72419i 0.683459 + 0.613831i
\(121\) 3.31726 + 1.91522i 0.301569 + 0.174111i
\(122\) 7.77968 3.35889i 0.704339 0.304100i
\(123\) −7.56587 3.05450i −0.682192 0.275415i
\(124\) −11.7946 11.1128i −1.05918 0.997959i
\(125\) 8.39615 8.39615i 0.750975 0.750975i
\(126\) −0.743150 + 7.55545i −0.0662051 + 0.673093i
\(127\) 5.71585 0.507200 0.253600 0.967309i \(-0.418385\pi\)
0.253600 + 0.967309i \(0.418385\pi\)
\(128\) −0.302740 + 11.3097i −0.0267587 + 0.999642i
\(129\) −1.43413 + 11.7055i −0.126268 + 1.03061i
\(130\) −12.9689 5.14724i −1.13745 0.451443i
\(131\) 2.36823 + 8.83835i 0.206913 + 0.772210i 0.988858 + 0.148863i \(0.0475612\pi\)
−0.781945 + 0.623348i \(0.785772\pi\)
\(132\) 8.70049 + 3.21499i 0.757280 + 0.279829i
\(133\) −3.17824 + 11.8613i −0.275588 + 1.02851i
\(134\) −1.98738 1.47852i −0.171683 0.127725i
\(135\) −8.28970 + 6.72369i −0.713464 + 0.578683i
\(136\) 4.29913 + 9.19557i 0.368648 + 0.788514i
\(137\) 0.535518 0.309181i 0.0457524 0.0264151i −0.476949 0.878931i \(-0.658257\pi\)
0.522702 + 0.852516i \(0.324924\pi\)
\(138\) 1.21058 0.355545i 0.103051 0.0302660i
\(139\) −18.4588 + 4.94601i −1.56565 + 0.419515i −0.934447 0.356101i \(-0.884106\pi\)
−0.631205 + 0.775616i \(0.717439\pi\)
\(140\) −3.86353 6.25443i −0.326528 0.528595i
\(141\) −7.44451 9.52338i −0.626941 0.802013i
\(142\) −6.65453 8.41028i −0.558436 0.705775i
\(143\) −12.8608 −1.07547
\(144\) −11.7967 2.19926i −0.983062 0.183272i
\(145\) 13.7157 1.13903
\(146\) −11.0104 13.9154i −0.911227 1.15165i
\(147\) −2.46264 + 6.09987i −0.203115 + 0.503109i
\(148\) 3.03072 1.87216i 0.249124 0.153890i
\(149\) −5.06509 + 1.35719i −0.414948 + 0.111185i −0.460252 0.887788i \(-0.652241\pi\)
0.0453039 + 0.998973i \(0.485574\pi\)
\(150\) −0.450593 + 1.85791i −0.0367908 + 0.151698i
\(151\) −7.80108 + 4.50395i −0.634843 + 0.366527i −0.782625 0.622493i \(-0.786120\pi\)
0.147782 + 0.989020i \(0.452786\pi\)
\(152\) −18.2458 6.62033i −1.47993 0.536980i
\(153\) −10.3480 + 2.97313i −0.836588 + 0.240364i
\(154\) −5.43656 4.04456i −0.438091 0.325920i
\(155\) −4.30775 + 16.0767i −0.346007 + 1.29132i
\(156\) 16.3996 2.80907i 1.31302 0.224906i
\(157\) 2.93223 + 10.9432i 0.234017 + 0.873364i 0.978589 + 0.205822i \(0.0659868\pi\)
−0.744572 + 0.667542i \(0.767347\pi\)
\(158\) −10.5614 4.19170i −0.840217 0.333473i
\(159\) 10.2978 + 7.75573i 0.816671 + 0.615069i
\(160\) 10.3753 5.23231i 0.820243 0.413650i
\(161\) −0.921720 −0.0726417
\(162\) 4.26697 11.9914i 0.335244 0.942131i
\(163\) −11.9073 + 11.9073i −0.932649 + 0.932649i −0.997871 0.0652222i \(-0.979224\pi\)
0.0652222 + 0.997871i \(0.479224\pi\)
\(164\) −6.46081 + 6.85719i −0.504505 + 0.535457i
\(165\) −1.32833 9.43355i −0.103410 0.734401i
\(166\) 10.7510 4.64177i 0.834440 0.360271i
\(167\) 8.19418 + 4.73091i 0.634085 + 0.366089i 0.782332 0.622861i \(-0.214030\pi\)
−0.148248 + 0.988950i \(0.547363\pi\)
\(168\) 7.81591 + 3.97001i 0.603011 + 0.306293i
\(169\) −8.72072 + 5.03491i −0.670825 + 0.387301i
\(170\) 6.22304 8.36480i 0.477285 0.641551i
\(171\) 9.97139 18.0112i 0.762531 1.37735i
\(172\) 11.9903 + 6.45485i 0.914255 + 0.492178i
\(173\) 23.1112 + 6.19263i 1.75711 + 0.470817i 0.986121 0.166030i \(-0.0530948\pi\)
0.770991 + 0.636846i \(0.219761\pi\)
\(174\) −13.9650 + 8.51340i −1.05869 + 0.645399i
\(175\) 0.698304 1.20950i 0.0527868 0.0914295i
\(176\) 7.10959 8.01041i 0.535906 0.603807i
\(177\) 11.1724 4.74589i 0.839773 0.356723i
\(178\) 14.5154 + 18.3451i 1.08797 + 1.37502i
\(179\) 11.6334 11.6334i 0.869521 0.869521i −0.122898 0.992419i \(-0.539219\pi\)
0.992419 + 0.122898i \(0.0392188\pi\)
\(180\) 3.75432 + 11.7392i 0.279830 + 0.874986i
\(181\) −10.9379 10.9379i −0.813010 0.813010i 0.172074 0.985084i \(-0.444953\pi\)
−0.985084 + 0.172074i \(0.944953\pi\)
\(182\) −12.0732 1.40709i −0.894925 0.104300i
\(183\) 10.3012 + 1.26209i 0.761490 + 0.0932961i
\(184\) 0.125529 1.45148i 0.00925416 0.107004i
\(185\) −3.16860 1.82939i −0.232960 0.134500i
\(186\) −5.59285 19.0428i −0.410088 1.39629i
\(187\) 2.48715 9.28218i 0.181879 0.678780i
\(188\) −13.3688 + 4.01203i −0.975018 + 0.292608i
\(189\) −5.45939 + 7.52667i −0.397112 + 0.547485i
\(190\) 2.89581 + 19.7238i 0.210084 + 1.43092i
\(191\) 3.34360 + 5.79129i 0.241934 + 0.419043i 0.961265 0.275625i \(-0.0888848\pi\)
−0.719331 + 0.694668i \(0.755551\pi\)
\(192\) −7.31623 + 11.7674i −0.528004 + 0.849242i
\(193\) −0.468469 + 0.811411i −0.0337211 + 0.0584067i −0.882393 0.470512i \(-0.844069\pi\)
0.848672 + 0.528919i \(0.177402\pi\)
\(194\) −10.9295 4.33782i −0.784695 0.311437i
\(195\) −10.5245 13.4635i −0.753677 0.964140i
\(196\) 5.52850 + 5.20893i 0.394893 + 0.372067i
\(197\) −14.7962 14.7962i −1.05419 1.05419i −0.998445 0.0557400i \(-0.982248\pi\)
−0.0557400 0.998445i \(-0.517752\pi\)
\(198\) 7.20792 + 8.78054i 0.512245 + 0.624006i
\(199\) 2.36977i 0.167988i −0.996466 0.0839942i \(-0.973232\pi\)
0.996466 0.0839942i \(-0.0267677\pi\)
\(200\) 1.80956 + 1.26438i 0.127955 + 0.0894050i
\(201\) −1.18611 2.79225i −0.0836616 0.196950i
\(202\) −2.72838 6.31933i −0.191968 0.444627i
\(203\) 11.5410 3.09241i 0.810022 0.217045i
\(204\) −1.14410 + 12.3795i −0.0801028 + 0.866740i
\(205\) 9.34678 + 2.50446i 0.652807 + 0.174919i
\(206\) 9.90669 1.45448i 0.690232 0.101338i
\(207\) 1.49957 + 0.373047i 0.104227 + 0.0259286i
\(208\) 3.86007 18.8207i 0.267647 1.30498i
\(209\) 9.18737 + 15.9130i 0.635504 + 1.10072i
\(210\) −0.214864 9.00116i −0.0148271 0.621139i
\(211\) −0.521927 1.94786i −0.0359309 0.134096i 0.945631 0.325243i \(-0.105446\pi\)
−0.981561 + 0.191147i \(0.938779\pi\)
\(212\) 12.6646 7.82327i 0.869808 0.537304i
\(213\) −1.83143 13.0065i −0.125488 0.891192i
\(214\) 13.2800 + 1.54773i 0.907802 + 0.105801i
\(215\) 13.9861i 0.953842i
\(216\) −11.1091 9.62224i −0.755880 0.654710i
\(217\) 14.4990i 0.984255i
\(218\) −2.69549 + 23.1281i −0.182562 + 1.56643i
\(219\) −3.03023 21.5202i −0.204764 1.45420i
\(220\) −10.7056 2.52975i −0.721768 0.170555i
\(221\) −4.46148 16.6505i −0.300111 1.12003i
\(222\) 4.36171 0.104117i 0.292739 0.00698789i
\(223\) 5.55008 + 9.61302i 0.371661 + 0.643735i 0.989821 0.142317i \(-0.0454551\pi\)
−0.618160 + 0.786052i \(0.712122\pi\)
\(224\) 7.55060 6.74199i 0.504496 0.450468i
\(225\) −1.62561 + 1.68514i −0.108374 + 0.112342i
\(226\) −0.142182 0.968422i −0.00945780 0.0644185i
\(227\) −16.7860 4.49779i −1.11412 0.298529i −0.345621 0.938374i \(-0.612332\pi\)
−0.768504 + 0.639845i \(0.778998\pi\)
\(228\) −15.1911 18.2849i −1.00606 1.21095i
\(229\) 15.4674 4.14447i 1.02211 0.273874i 0.291430 0.956592i \(-0.405869\pi\)
0.730682 + 0.682718i \(0.239202\pi\)
\(230\) −1.37377 + 0.593127i −0.0905835 + 0.0391096i
\(231\) −3.24465 7.63835i −0.213483 0.502566i
\(232\) 3.29800 + 18.5954i 0.216524 + 1.22085i
\(233\) 25.2041i 1.65118i 0.564273 + 0.825588i \(0.309156\pi\)
−0.564273 + 0.825588i \(0.690844\pi\)
\(234\) 19.0727 + 7.17561i 1.24682 + 0.469084i
\(235\) 10.1369 + 10.1369i 0.661257 + 0.661257i
\(236\) −0.416981 14.0103i −0.0271432 0.911994i
\(237\) −8.57073 10.9641i −0.556729 0.712195i
\(238\) 3.35039 8.44162i 0.217174 0.547189i
\(239\) 4.14085 7.17217i 0.267850 0.463929i −0.700457 0.713695i \(-0.747020\pi\)
0.968306 + 0.249766i \(0.0803537\pi\)
\(240\) 14.2039 + 0.887515i 0.916855 + 0.0572889i
\(241\) −6.40038 11.0858i −0.412285 0.714098i 0.582854 0.812577i \(-0.301936\pi\)
−0.995139 + 0.0984784i \(0.968602\pi\)
\(242\) 5.35961 0.786887i 0.344529 0.0505830i
\(243\) 11.9283 10.0357i 0.765199 0.643793i
\(244\) 5.68050 10.5519i 0.363657 0.675518i
\(245\) 2.01918 7.53570i 0.129001 0.481438i
\(246\) −11.0712 + 3.25160i −0.705875 + 0.207314i
\(247\) 28.5449 + 16.4804i 1.81627 + 1.04862i
\(248\) −22.8323 1.97462i −1.44985 0.125389i
\(249\) 14.2356 + 1.74412i 0.902147 + 0.110529i
\(250\) 1.94392 16.6794i 0.122944 1.05490i
\(251\) −13.9414 13.9414i −0.879976 0.879976i 0.113556 0.993532i \(-0.463776\pi\)
−0.993532 + 0.113556i \(0.963776\pi\)
\(252\) 5.80583 + 9.03142i 0.365733 + 0.568926i
\(253\) −0.975248 + 0.975248i −0.0613133 + 0.0613133i
\(254\) 6.33911 5.01574i 0.397751 0.314716i
\(255\) 11.7525 4.99228i 0.735970 0.312629i
\(256\) 9.58863 + 12.8085i 0.599290 + 0.800532i
\(257\) −3.51445 + 6.08720i −0.219225 + 0.379709i −0.954571 0.297983i \(-0.903686\pi\)
0.735346 + 0.677692i \(0.237020\pi\)
\(258\) 8.68122 + 14.2403i 0.540469 + 0.886564i
\(259\) −3.07867 0.824928i −0.191299 0.0512585i
\(260\) −18.8998 + 5.67193i −1.17212 + 0.351758i
\(261\) −20.0280 + 0.360117i −1.23970 + 0.0222907i
\(262\) 10.3822 + 7.72393i 0.641417 + 0.477186i
\(263\) −15.1779 + 8.76296i −0.935909 + 0.540348i −0.888676 0.458536i \(-0.848374\pi\)
−0.0472338 + 0.998884i \(0.515041\pi\)
\(264\) 12.4704 4.06925i 0.767499 0.250445i
\(265\) −13.2408 7.64455i −0.813373 0.469601i
\(266\) 6.88370 + 15.9436i 0.422067 + 0.977568i
\(267\) 3.99485 + 28.3707i 0.244481 + 1.73626i
\(268\) −3.50150 + 0.104213i −0.213888 + 0.00636584i
\(269\) −0.311911 + 0.311911i −0.0190176 + 0.0190176i −0.716552 0.697534i \(-0.754281\pi\)
0.697534 + 0.716552i \(0.254281\pi\)
\(270\) −3.29347 + 14.7312i −0.200434 + 0.896510i
\(271\) 7.46993 0.453766 0.226883 0.973922i \(-0.427147\pi\)
0.226883 + 0.973922i \(0.427147\pi\)
\(272\) 12.8372 + 6.42570i 0.778367 + 0.389615i
\(273\) −11.8914 8.95590i −0.719699 0.542036i
\(274\) 0.322599 0.812819i 0.0194889 0.0491042i
\(275\) −0.540881 2.01860i −0.0326164 0.121726i
\(276\) 1.03058 1.45661i 0.0620338 0.0876778i
\(277\) 2.71916 10.1481i 0.163379 0.609737i −0.834863 0.550458i \(-0.814453\pi\)
0.998241 0.0592792i \(-0.0188802\pi\)
\(278\) −16.1313 + 21.6831i −0.967491 + 1.30047i
\(279\) 5.86817 23.5887i 0.351318 1.41222i
\(280\) −9.77316 3.54610i −0.584058 0.211920i
\(281\) 5.76358 3.32761i 0.343826 0.198508i −0.318136 0.948045i \(-0.603057\pi\)
0.661963 + 0.749537i \(0.269724\pi\)
\(282\) −16.6131 4.02914i −0.989299 0.239932i
\(283\) −10.6365 + 2.85005i −0.632275 + 0.169418i −0.560702 0.828018i \(-0.689469\pi\)
−0.0715734 + 0.997435i \(0.522802\pi\)
\(284\) −14.7603 3.48789i −0.875862 0.206968i
\(285\) −9.14030 + 22.6402i −0.541424 + 1.34109i
\(286\) −14.2631 + 11.2855i −0.843397 + 0.667328i
\(287\) 8.42949 0.497577
\(288\) −15.0129 + 7.91275i −0.884646 + 0.466263i
\(289\) −4.11987 −0.242345
\(290\) 15.2113 12.0357i 0.893236 0.706762i
\(291\) −8.86951 11.3463i −0.519940 0.665133i
\(292\) −24.4219 5.77096i −1.42919 0.337720i
\(293\) −2.75926 + 0.739342i −0.161198 + 0.0431928i −0.338515 0.940961i \(-0.609925\pi\)
0.177318 + 0.984154i \(0.443258\pi\)
\(294\) 2.62155 + 8.92600i 0.152892 + 0.520575i
\(295\) −12.4673 + 7.19800i −0.725874 + 0.419084i
\(296\) 1.71834 4.73580i 0.0998766 0.275263i
\(297\) 2.18734 + 13.7402i 0.126922 + 0.797288i
\(298\) −4.42644 + 5.94986i −0.256416 + 0.344666i
\(299\) −0.640328 + 2.38974i −0.0370311 + 0.138202i
\(300\) 1.13062 + 2.45590i 0.0652761 + 0.141791i
\(301\) −3.15337 11.7685i −0.181757 0.678328i
\(302\) −4.69942 + 11.8406i −0.270421 + 0.681351i
\(303\) 1.02518 8.36756i 0.0588948 0.480704i
\(304\) −26.0448 + 8.66875i −1.49377 + 0.497187i
\(305\) −12.3082 −0.704768
\(306\) −8.86740 + 12.3779i −0.506916 + 0.707595i
\(307\) −8.15691 + 8.15691i −0.465540 + 0.465540i −0.900466 0.434926i \(-0.856774\pi\)
0.434926 + 0.900466i \(0.356774\pi\)
\(308\) −9.57853 + 0.285080i −0.545787 + 0.0162440i
\(309\) 11.3715 + 4.59090i 0.646901 + 0.261167i
\(310\) 9.33011 + 21.6099i 0.529914 + 1.22736i
\(311\) −8.33416 4.81173i −0.472587 0.272848i 0.244735 0.969590i \(-0.421299\pi\)
−0.717322 + 0.696742i \(0.754632\pi\)
\(312\) 15.7228 17.5063i 0.890129 0.991097i
\(313\) −22.2531 + 12.8478i −1.25782 + 0.726202i −0.972650 0.232276i \(-0.925383\pi\)
−0.285168 + 0.958477i \(0.592049\pi\)
\(314\) 12.8548 + 9.56339i 0.725437 + 0.539693i
\(315\) 5.34106 9.64747i 0.300934 0.543573i
\(316\) −15.3912 + 4.61899i −0.865825 + 0.259838i
\(317\) 15.6062 + 4.18167i 0.876532 + 0.234866i 0.668910 0.743343i \(-0.266761\pi\)
0.207622 + 0.978209i \(0.433428\pi\)
\(318\) 18.2265 0.435079i 1.02209 0.0243980i
\(319\) 8.93928 15.4833i 0.500503 0.866897i
\(320\) 6.91524 14.9073i 0.386574 0.833346i
\(321\) 13.0800 + 9.85110i 0.730055 + 0.549835i
\(322\) −1.02222 + 0.808822i −0.0569663 + 0.0450739i
\(323\) −17.4149 + 17.4149i −0.968989 + 0.968989i
\(324\) −5.79036 17.0432i −0.321687 0.946846i
\(325\) −2.65074 2.65074i −0.147036 0.147036i
\(326\) −2.75683 + 23.6544i −0.152687 + 1.31010i
\(327\) −17.1564 + 22.7798i −0.948752 + 1.25973i
\(328\) −1.14802 + 13.2743i −0.0633886 + 0.732953i
\(329\) 10.8152 + 6.24413i 0.596259 + 0.344250i
\(330\) −9.75124 9.29656i −0.536788 0.511759i
\(331\) 5.25422 19.6090i 0.288798 1.07781i −0.657221 0.753698i \(-0.728268\pi\)
0.946019 0.324111i \(-0.105065\pi\)
\(332\) 7.85007 14.5821i 0.430829 0.800295i
\(333\) 4.67489 + 2.58813i 0.256183 + 0.141828i
\(334\) 13.2391 1.94374i 0.724412 0.106357i
\(335\) 1.79895 + 3.11587i 0.0982870 + 0.170238i
\(336\) 12.1519 2.45568i 0.662940 0.133968i
\(337\) 1.04249 1.80564i 0.0567879 0.0983595i −0.836234 0.548373i \(-0.815247\pi\)
0.893022 + 0.450013i \(0.148581\pi\)
\(338\) −5.25342 + 13.2365i −0.285748 + 0.719969i
\(339\) 0.448781 1.11161i 0.0243744 0.0603745i
\(340\) −0.438630 14.7377i −0.0237881 0.799264i
\(341\) 15.3410 + 15.3410i 0.830762 + 0.830762i
\(342\) −4.74640 28.7251i −0.256656 1.55328i
\(343\) 19.3222i 1.04330i
\(344\) 18.9620 3.36301i 1.02236 0.181322i
\(345\) −1.81903 0.222864i −0.0979335 0.0119986i
\(346\) 31.0653 13.4125i 1.67008 0.721062i
\(347\) 8.16281 2.18722i 0.438203 0.117416i −0.0329715 0.999456i \(-0.510497\pi\)
0.471174 + 0.882040i \(0.343830\pi\)
\(348\) −8.01714 + 21.6962i −0.429764 + 1.16304i
\(349\) −1.50715 0.403839i −0.0806758 0.0216170i 0.218255 0.975892i \(-0.429963\pi\)
−0.298931 + 0.954275i \(0.596630\pi\)
\(350\) −0.286905 1.95415i −0.0153357 0.104454i
\(351\) 15.7217 + 19.3834i 0.839160 + 1.03461i
\(352\) 0.855574 15.1226i 0.0456023 0.806039i
\(353\) −8.13441 14.0892i −0.432951 0.749893i 0.564175 0.825655i \(-0.309194\pi\)
−0.997126 + 0.0757623i \(0.975861\pi\)
\(354\) 8.22611 15.0674i 0.437213 0.800821i
\(355\) 4.03173 + 15.0466i 0.213982 + 0.798592i
\(356\) 32.1962 + 7.60803i 1.70640 + 0.403225i
\(357\) 8.76352 6.85052i 0.463815 0.362568i
\(358\) 2.69343 23.1104i 0.142352 1.22142i
\(359\) 3.08148i 0.162634i −0.996688 0.0813172i \(-0.974087\pi\)
0.996688 0.0813172i \(-0.0259127\pi\)
\(360\) 14.4650 + 9.72473i 0.762371 + 0.512538i
\(361\) 28.0923i 1.47854i
\(362\) −21.7288 2.53241i −1.14204 0.133100i
\(363\) 6.15208 + 2.48372i 0.322900 + 0.130362i
\(364\) −14.6244 + 9.03389i −0.766527 + 0.473504i
\(365\) 6.67079 + 24.8957i 0.349165 + 1.30310i
\(366\) 12.5320 7.63978i 0.655057 0.399338i
\(367\) −1.38231 2.39424i −0.0721562 0.124978i 0.827690 0.561186i \(-0.189655\pi\)
−0.899846 + 0.436208i \(0.856321\pi\)
\(368\) −1.13448 1.71990i −0.0591387 0.0896561i
\(369\) −13.7141 3.41167i −0.713930 0.177604i
\(370\) −5.11942 + 0.751623i −0.266146 + 0.0390750i
\(371\) −12.8650 3.44716i −0.667916 0.178968i
\(372\) −22.9131 16.2115i −1.18799 0.840525i
\(373\) −22.6202 + 6.06106i −1.17123 + 0.313830i −0.791442 0.611244i \(-0.790669\pi\)
−0.379787 + 0.925074i \(0.624003\pi\)
\(374\) −5.38689 12.4768i −0.278550 0.645161i
\(375\) 12.3728 16.4282i 0.638928 0.848350i
\(376\) −11.3059 + 16.1808i −0.583056 + 0.834461i
\(377\) 32.0707i 1.65172i
\(378\) 0.550083 + 13.1381i 0.0282932 + 0.675749i
\(379\) 4.70551 + 4.70551i 0.241706 + 0.241706i 0.817555 0.575850i \(-0.195329\pi\)
−0.575850 + 0.817555i \(0.695329\pi\)
\(380\) 20.5195 + 19.3334i 1.05263 + 0.991781i
\(381\) 9.80344 1.38041i 0.502245 0.0707206i
\(382\) 8.79012 + 3.48871i 0.449742 + 0.178498i
\(383\) 18.3311 31.7505i 0.936678 1.62237i 0.165063 0.986283i \(-0.447217\pi\)
0.771614 0.636091i \(-0.219450\pi\)
\(384\) 2.21211 + 19.4707i 0.112886 + 0.993608i
\(385\) 4.92111 + 8.52361i 0.250803 + 0.434403i
\(386\) 0.192475 + 1.31098i 0.00979671 + 0.0667269i
\(387\) 0.367216 + 20.4228i 0.0186666 + 1.03815i
\(388\) −15.9278 + 4.78001i −0.808611 + 0.242668i
\(389\) −0.757647 + 2.82758i −0.0384142 + 0.143364i −0.982469 0.186423i \(-0.940310\pi\)
0.944055 + 0.329787i \(0.106977\pi\)
\(390\) −23.4865 5.69612i −1.18929 0.288434i
\(391\) −1.60094 0.924302i −0.0809630 0.0467440i
\(392\) 10.7022 + 0.925571i 0.540545 + 0.0467484i
\(393\) 6.19634 + 14.5870i 0.312564 + 0.735817i
\(394\) −29.3934 3.42570i −1.48082 0.172584i
\(395\) 11.6704 + 11.6704i 0.587202 + 0.587202i
\(396\) 15.6989 + 3.41291i 0.788900 + 0.171505i
\(397\) 13.3392 13.3392i 0.669474 0.669474i −0.288120 0.957594i \(-0.593030\pi\)
0.957594 + 0.288120i \(0.0930302\pi\)
\(398\) −2.07951 2.62817i −0.104236 0.131738i
\(399\) −2.58651 + 21.1113i −0.129488 + 1.05689i
\(400\) 3.11638 0.185667i 0.155819 0.00928333i
\(401\) −4.84547 + 8.39261i −0.241971 + 0.419107i −0.961276 0.275588i \(-0.911127\pi\)
0.719304 + 0.694695i \(0.244461\pi\)
\(402\) −3.76568 2.05589i −0.187815 0.102539i
\(403\) 37.5914 + 10.0726i 1.87256 + 0.501751i
\(404\) −8.57119 4.61419i −0.426433 0.229565i
\(405\) −12.5941 + 13.5340i −0.625807 + 0.672511i
\(406\) 10.0858 13.5570i 0.500551 0.672824i
\(407\) −4.13030 + 2.38463i −0.204731 + 0.118202i
\(408\) 9.59436 + 14.7333i 0.474992 + 0.729409i
\(409\) −6.19403 3.57613i −0.306275 0.176828i 0.338983 0.940792i \(-0.389917\pi\)
−0.645258 + 0.763964i \(0.723250\pi\)
\(410\) 12.5636 5.42438i 0.620474 0.267891i
\(411\) 0.843814 0.659617i 0.0416223 0.0325365i
\(412\) 9.71059 10.3063i 0.478406 0.507757i
\(413\) −8.86768 + 8.86768i −0.436350 + 0.436350i
\(414\) 1.99043 0.902168i 0.0978245 0.0443391i
\(415\) −17.0092 −0.834948
\(416\) −12.2344 24.2601i −0.599842 1.18945i
\(417\) −30.4647 + 12.9410i −1.49186 + 0.633721i
\(418\) 24.1530 + 9.58609i 1.18136 + 0.468871i
\(419\) −4.80711 17.9404i −0.234843 0.876445i −0.978220 0.207572i \(-0.933444\pi\)
0.743377 0.668873i \(-0.233223\pi\)
\(420\) −8.13694 9.79410i −0.397042 0.477903i
\(421\) −0.527873 + 1.97005i −0.0257270 + 0.0960144i −0.977596 0.210492i \(-0.932493\pi\)
0.951869 + 0.306506i \(0.0991601\pi\)
\(422\) −2.28811 1.70225i −0.111383 0.0828644i
\(423\) −15.0683 14.5359i −0.732644 0.706762i
\(424\) 7.18051 19.7897i 0.348716 0.961071i
\(425\) 2.42577 1.40052i 0.117667 0.0679353i
\(426\) −13.4445 12.8176i −0.651390 0.621016i
\(427\) −10.3567 + 2.77508i −0.501198 + 0.134295i
\(428\) 16.0862 9.93689i 0.777556 0.480317i
\(429\) −22.0580 + 3.10596i −1.06497 + 0.149957i
\(430\) −12.2730 15.5111i −0.591856 0.748012i
\(431\) −19.8202 −0.954707 −0.477354 0.878711i \(-0.658404\pi\)
−0.477354 + 0.878711i \(0.658404\pi\)
\(432\) −20.7641 0.923036i −0.999013 0.0444096i
\(433\) 23.7342 1.14060 0.570298 0.821438i \(-0.306828\pi\)
0.570298 + 0.821438i \(0.306828\pi\)
\(434\) 12.7231 + 16.0799i 0.610727 + 0.771862i
\(435\) 23.5242 3.31242i 1.12790 0.158818i
\(436\) 17.3058 + 28.0153i 0.828799 + 1.34169i
\(437\) 3.41431 0.914861i 0.163329 0.0437637i
\(438\) −22.2449 21.2077i −1.06290 1.01334i
\(439\) 19.0949 11.0245i 0.911350 0.526168i 0.0304850 0.999535i \(-0.490295\pi\)
0.880865 + 0.473367i \(0.156961\pi\)
\(440\) −14.0928 + 6.58868i −0.671846 + 0.314103i
\(441\) −2.75060 + 11.0568i −0.130981 + 0.526515i
\(442\) −19.5590 14.5510i −0.930325 0.692121i
\(443\) 2.60232 9.71199i 0.123640 0.461431i −0.876148 0.482043i \(-0.839895\pi\)
0.999788 + 0.0206123i \(0.00656156\pi\)
\(444\) 4.74595 3.94293i 0.225233 0.187123i
\(445\) −8.79430 32.8208i −0.416890 1.55585i
\(446\) 14.5908 + 5.79094i 0.690895 + 0.274209i
\(447\) −8.35953 + 3.55100i −0.395392 + 0.167957i
\(448\) 2.45773 14.1029i 0.116117 0.666299i
\(449\) 24.6980 1.16557 0.582786 0.812626i \(-0.301963\pi\)
0.582786 + 0.812626i \(0.301963\pi\)
\(450\) −0.324132 + 3.29538i −0.0152797 + 0.155346i
\(451\) 8.91903 8.91903i 0.419981 0.419981i
\(452\) −1.00749 0.949252i −0.0473883 0.0446491i
\(453\) −12.2921 + 9.60887i −0.577535 + 0.451464i
\(454\) −22.5632 + 9.74171i −1.05894 + 0.457201i
\(455\) 15.2897 + 8.82752i 0.716793 + 0.413841i
\(456\) −32.8928 6.94828i −1.54035 0.325383i
\(457\) 27.1171 15.6561i 1.26849 0.732360i 0.293784 0.955872i \(-0.405085\pi\)
0.974701 + 0.223511i \(0.0717520\pi\)
\(458\) 13.5171 18.1692i 0.631612 0.848992i
\(459\) −17.0302 + 7.59842i −0.794902 + 0.354664i
\(460\) −1.00309 + 1.86330i −0.0467691 + 0.0868769i
\(461\) −11.8344 3.17103i −0.551185 0.147689i −0.0275314 0.999621i \(-0.508765\pi\)
−0.523653 + 0.851931i \(0.675431\pi\)
\(462\) −10.3012 5.62400i −0.479255 0.261652i
\(463\) −12.7250 + 22.0403i −0.591379 + 1.02430i 0.402668 + 0.915346i \(0.368083\pi\)
−0.994047 + 0.108953i \(0.965250\pi\)
\(464\) 19.9754 + 17.7290i 0.927333 + 0.823049i
\(465\) −3.50574 + 28.6141i −0.162575 + 1.32695i
\(466\) 22.1170 + 27.9524i 1.02455 + 1.29487i
\(467\) −6.28473 + 6.28473i −0.290822 + 0.290822i −0.837405 0.546583i \(-0.815928\pi\)
0.546583 + 0.837405i \(0.315928\pi\)
\(468\) 27.4491 8.77852i 1.26883 0.405787i
\(469\) 2.21624 + 2.21624i 0.102336 + 0.102336i
\(470\) 20.1374 + 2.34694i 0.928871 + 0.108256i
\(471\) 7.67200 + 18.0609i 0.353507 + 0.832203i
\(472\) −12.7567 15.1721i −0.587175 0.698352i
\(473\) −15.7885 9.11550i −0.725956 0.419131i
\(474\) −19.1264 4.63868i −0.878506 0.213062i
\(475\) −1.38622 + 5.17343i −0.0636040 + 0.237373i
\(476\) −3.69192 12.3021i −0.169219 0.563866i
\(477\) 19.5352 + 10.8151i 0.894454 + 0.495190i
\(478\) −1.70131 11.5879i −0.0778161 0.530017i
\(479\) −1.61178 2.79169i −0.0736442 0.127555i 0.826852 0.562420i \(-0.190130\pi\)
−0.900496 + 0.434865i \(0.856796\pi\)
\(480\) 16.5314 11.4798i 0.754554 0.523978i
\(481\) −4.27757 + 7.40897i −0.195040 + 0.337820i
\(482\) −16.8262 6.67815i −0.766413 0.304181i
\(483\) −1.58087 + 0.222600i −0.0719321 + 0.0101287i
\(484\) 5.25351 5.57582i 0.238796 0.253446i
\(485\) 12.0772 + 12.0772i 0.548399 + 0.548399i
\(486\) 4.42242 21.5973i 0.200605 0.979672i
\(487\) 11.2953i 0.511838i 0.966698 + 0.255919i \(0.0823780\pi\)
−0.966698 + 0.255919i \(0.917622\pi\)
\(488\) −2.95957 16.6872i −0.133973 0.755395i
\(489\) −17.5468 + 23.2982i −0.793496 + 1.05358i
\(490\) −4.37332 10.1292i −0.197567 0.457593i
\(491\) −27.3357 + 7.32459i −1.23364 + 0.330554i −0.815998 0.578055i \(-0.803812\pi\)
−0.417647 + 0.908609i \(0.637145\pi\)
\(492\) −9.42509 + 13.3213i −0.424916 + 0.600571i
\(493\) 23.1468 + 6.20215i 1.04248 + 0.279331i
\(494\) 46.1191 6.77112i 2.07500 0.304647i
\(495\) −4.55651 15.8590i −0.204800 0.712808i
\(496\) −27.0547 + 17.8457i −1.21479 + 0.801297i
\(497\) 6.78498 + 11.7519i 0.304348 + 0.527146i
\(498\) 17.3184 10.5577i 0.776055 0.473101i
\(499\) −4.52377 16.8830i −0.202512 0.755785i −0.990194 0.139702i \(-0.955385\pi\)
0.787682 0.616082i \(-0.211281\pi\)
\(500\) −12.4805 20.2039i −0.558146 0.903548i
\(501\) 15.1966 + 6.13520i 0.678936 + 0.274100i
\(502\) −27.6954 3.22780i −1.23611 0.144064i
\(503\) 14.1184i 0.629509i 0.949173 + 0.314754i \(0.101922\pi\)
−0.949173 + 0.314754i \(0.898078\pi\)
\(504\) 14.3641 + 4.92150i 0.639828 + 0.219221i
\(505\) 9.99782i 0.444897i
\(506\) −0.225795 + 1.93738i −0.0100378 + 0.0861272i
\(507\) −13.7412 + 10.7416i −0.610269 + 0.477053i
\(508\) 2.62894 11.1253i 0.116640 0.493606i
\(509\) −7.88327 29.4208i −0.349420 1.30405i −0.887363 0.461072i \(-0.847465\pi\)
0.537943 0.842981i \(-0.319202\pi\)
\(510\) 8.65319 15.8496i 0.383169 0.701833i
\(511\) 11.2262 + 19.4444i 0.496619 + 0.860170i
\(512\) 21.8738 + 5.79099i 0.966696 + 0.255928i
\(513\) 12.7524 33.2997i 0.563034 1.47022i
\(514\) 1.44394 + 9.83492i 0.0636896 + 0.433800i
\(515\) −14.0482 3.76420i −0.619037 0.165870i
\(516\) 22.1239 + 8.17518i 0.973950 + 0.359892i
\(517\) 18.0500 4.83648i 0.793838 0.212708i
\(518\) −4.13826 + 1.78670i −0.181825 + 0.0785032i
\(519\) 41.1343 + 5.03969i 1.80559 + 0.221218i
\(520\) −15.9835 + 22.8753i −0.700921 + 1.00315i
\(521\) 8.75761i 0.383678i −0.981426 0.191839i \(-0.938555\pi\)
0.981426 0.191839i \(-0.0614451\pi\)
\(522\) −21.8958 + 17.9742i −0.958354 + 0.786710i
\(523\) 21.3424 + 21.3424i 0.933236 + 0.933236i 0.997907 0.0646706i \(-0.0205997\pi\)
−0.0646706 + 0.997907i \(0.520600\pi\)
\(524\) 18.2922 0.544420i 0.799097 0.0237831i
\(525\) 0.905583 2.24309i 0.0395229 0.0978966i
\(526\) −9.14327 + 23.0373i −0.398665 + 1.00447i
\(527\) −14.5396 + 25.1834i −0.633356 + 1.09700i
\(528\) 10.2593 15.4559i 0.446480 0.672632i
\(529\) −11.3673 19.6888i −0.494232 0.856035i
\(530\) −21.3927 + 3.14084i −0.929241 + 0.136429i
\(531\) 18.0161 10.8380i 0.781830 0.470330i
\(532\) 21.6251 + 11.6416i 0.937566 + 0.504727i
\(533\) 5.85605 21.8551i 0.253654 0.946648i
\(534\) 29.3262 + 27.9587i 1.26907 + 1.20989i
\(535\) −16.8180 9.70989i −0.727107 0.419795i
\(536\) −3.79186 + 3.18819i −0.163783 + 0.137709i
\(537\) 17.1433 22.7623i 0.739787 0.982268i
\(538\) −0.0722154 + 0.619628i −0.00311342 + 0.0267141i
\(539\) −7.19083 7.19083i −0.309731 0.309731i
\(540\) 9.27422 + 19.2275i 0.399099 + 0.827421i
\(541\) −25.1121 + 25.1121i −1.07965 + 1.07965i −0.0831121 + 0.996540i \(0.526486\pi\)
−0.996540 + 0.0831121i \(0.973514\pi\)
\(542\) 8.28445 6.55497i 0.355848 0.281560i
\(543\) −21.4016 16.1184i −0.918429 0.691707i
\(544\) 19.8756 4.13843i 0.852157 0.177434i
\(545\) 16.9105 29.2898i 0.724366 1.25464i
\(546\) −21.0469 + 0.502406i −0.900726 + 0.0215010i
\(547\) −5.32802 1.42764i −0.227810 0.0610414i 0.143108 0.989707i \(-0.454290\pi\)
−0.370918 + 0.928666i \(0.620957\pi\)
\(548\) −0.355484 1.18453i −0.0151855 0.0506008i
\(549\) 17.9728 0.323163i 0.767060 0.0137923i
\(550\) −2.37121 1.76407i −0.101109 0.0752203i
\(551\) −39.6818 + 22.9103i −1.69050 + 0.976013i
\(552\) −0.135241 2.51979i −0.00575622 0.107250i
\(553\) 12.4513 + 7.18876i 0.529483 + 0.305697i
\(554\) −5.88940 13.6407i −0.250217 0.579538i
\(555\) −5.87637 2.37241i −0.249438 0.100703i
\(556\) 1.13701 + 38.2029i 0.0482201 + 1.62016i
\(557\) −15.4160 + 15.4160i −0.653197 + 0.653197i −0.953761 0.300565i \(-0.902825\pi\)
0.300565 + 0.953761i \(0.402825\pi\)
\(558\) −14.1914 31.3103i −0.600771 1.32547i
\(559\) −32.7029 −1.38319
\(560\) −13.9506 + 4.64331i −0.589519 + 0.196216i
\(561\) 2.02410 16.5208i 0.0854574 0.697510i
\(562\) 3.47202 8.74807i 0.146458 0.369015i
\(563\) 4.27894 + 15.9692i 0.180336 + 0.673022i 0.995581 + 0.0939062i \(0.0299354\pi\)
−0.815245 + 0.579116i \(0.803398\pi\)
\(564\) −21.9603 + 10.1098i −0.924694 + 0.425699i
\(565\) −0.367967 + 1.37327i −0.0154805 + 0.0577740i
\(566\) −9.29536 + 12.4945i −0.390713 + 0.525183i
\(567\) −7.54583 + 14.2277i −0.316895 + 0.597507i
\(568\) −19.4304 + 9.08415i −0.815282 + 0.381163i
\(569\) 9.85656 5.69069i 0.413208 0.238566i −0.278959 0.960303i \(-0.589989\pi\)
0.692167 + 0.721737i \(0.256656\pi\)
\(570\) 9.73010 + 33.1296i 0.407549 + 1.38764i
\(571\) 11.8982 3.18813i 0.497926 0.133419i −0.00111115 0.999999i \(-0.500354\pi\)
0.499037 + 0.866580i \(0.333687\pi\)
\(572\) −5.91517 + 25.0322i −0.247326 + 1.04665i
\(573\) 7.13334 + 9.12532i 0.298000 + 0.381216i
\(574\) 9.34864 7.39700i 0.390205 0.308745i
\(575\) −0.402016 −0.0167652
\(576\) −9.70640 + 21.9496i −0.404433 + 0.914568i
\(577\) 21.7471 0.905342 0.452671 0.891678i \(-0.350471\pi\)
0.452671 + 0.891678i \(0.350471\pi\)
\(578\) −4.56910 + 3.61524i −0.190049 + 0.150374i
\(579\) −0.607525 + 1.50481i −0.0252479 + 0.0625380i
\(580\) 6.30837 26.6962i 0.261941 1.10850i
\(581\) −14.3123 + 3.83498i −0.593775 + 0.159102i
\(582\) −19.7932 4.80039i −0.820454 0.198982i
\(583\) −17.2595 + 9.96475i −0.714814 + 0.412698i
\(584\) −32.1490 + 15.0304i −1.33034 + 0.621961i
\(585\) −21.3024 20.5499i −0.880748 0.849634i
\(586\) −2.41135 + 3.24125i −0.0996118 + 0.133895i
\(587\) 4.07718 15.2163i 0.168283 0.628042i −0.829315 0.558781i \(-0.811269\pi\)
0.997599 0.0692610i \(-0.0220641\pi\)
\(588\) 10.7401 + 7.59884i 0.442914 + 0.313371i
\(589\) −14.3911 53.7083i −0.592975 2.21301i
\(590\) −7.51039 + 18.9231i −0.309198 + 0.779052i
\(591\) −28.9508 21.8041i −1.19088 0.896899i
\(592\) −2.25002 6.76006i −0.0924752 0.277837i
\(593\) 10.1125 0.415270 0.207635 0.978206i \(-0.433423\pi\)
0.207635 + 0.978206i \(0.433423\pi\)
\(594\) 14.4831 + 13.3190i 0.594248 + 0.546486i
\(595\) −9.32807 + 9.32807i −0.382414 + 0.382414i
\(596\) 0.311997 + 10.4829i 0.0127799 + 0.429396i
\(597\) −0.572312 4.06446i −0.0234232 0.166347i
\(598\) 1.38688 + 3.21221i 0.0567137 + 0.131357i
\(599\) −4.23917 2.44748i −0.173208 0.100002i 0.410890 0.911685i \(-0.365218\pi\)
−0.584097 + 0.811684i \(0.698551\pi\)
\(600\) 3.40898 + 1.73156i 0.139171 + 0.0706905i
\(601\) 25.8322 14.9142i 1.05372 0.608364i 0.130030 0.991510i \(-0.458493\pi\)
0.923688 + 0.383146i \(0.125159\pi\)
\(602\) −13.8243 10.2847i −0.563436 0.419171i
\(603\) −2.70867 4.50263i −0.110306 0.183361i
\(604\) 5.17847 + 17.2555i 0.210709 + 0.702117i
\(605\) −7.60019 2.03647i −0.308992 0.0827941i
\(606\) −6.20569 10.1796i −0.252089 0.413516i
\(607\) −8.48425 + 14.6952i −0.344365 + 0.596458i −0.985238 0.171189i \(-0.945239\pi\)
0.640873 + 0.767647i \(0.278572\pi\)
\(608\) −21.2777 + 32.4686i −0.862926 + 1.31678i
\(609\) 19.0476 8.09112i 0.771846 0.327869i
\(610\) −13.6503 + 10.8007i −0.552685 + 0.437306i
\(611\) 23.7025 23.7025i 0.958901 0.958901i
\(612\) 1.02745 + 21.5088i 0.0415321 + 0.869442i
\(613\) 30.2781 + 30.2781i 1.22292 + 1.22292i 0.966589 + 0.256332i \(0.0825140\pi\)
0.256332 + 0.966589i \(0.417486\pi\)
\(614\) −1.88853 + 16.2041i −0.0762150 + 0.653946i
\(615\) 16.6358 + 2.03818i 0.670820 + 0.0821874i
\(616\) −10.3728 + 8.72146i −0.417932 + 0.351398i
\(617\) 14.9377 + 8.62428i 0.601368 + 0.347200i 0.769580 0.638551i \(-0.220466\pi\)
−0.168211 + 0.985751i \(0.553799\pi\)
\(618\) 16.6400 4.88715i 0.669359 0.196590i
\(619\) 4.48369 16.7334i 0.180215 0.672570i −0.815390 0.578912i \(-0.803477\pi\)
0.995604 0.0936580i \(-0.0298560\pi\)
\(620\) 29.3104 + 15.7789i 1.17713 + 0.633696i
\(621\) 2.66205 + 0.277671i 0.106824 + 0.0111426i
\(622\) −13.4653 + 1.97694i −0.539908 + 0.0792682i
\(623\) −14.7999 25.6341i −0.592945 1.02701i
\(624\) 2.07523 33.2121i 0.0830757 1.32955i
\(625\) −10.2442 + 17.7435i −0.409770 + 0.709742i
\(626\) −13.4054 + 33.7761i −0.535787 + 1.34997i
\(627\) 19.6006 + 25.0741i 0.782773 + 1.00136i
\(628\) 22.6485 0.674074i 0.903773 0.0268985i
\(629\) −4.52012 4.52012i −0.180229 0.180229i
\(630\) −2.54235 15.3863i −0.101290 0.613004i
\(631\) 11.6246i 0.462766i −0.972863 0.231383i \(-0.925675\pi\)
0.972863 0.231383i \(-0.0743251\pi\)
\(632\) −13.0163 + 18.6287i −0.517759 + 0.741009i
\(633\) −1.36559 3.21478i −0.0542774 0.127776i
\(634\) 20.9774 9.05703i 0.833118 0.359701i
\(635\) −11.3411 + 3.03885i −0.450059 + 0.120593i
\(636\) 19.8321 16.4765i 0.786393 0.653336i
\(637\) −17.6203 4.72135i −0.698142 0.187067i
\(638\) −3.67279 25.0159i −0.145407 0.990389i
\(639\) −6.28229 21.8656i −0.248524 0.864989i
\(640\) −5.41213 22.6011i −0.213933 0.893385i
\(641\) −3.04338 5.27129i −0.120206 0.208203i 0.799643 0.600476i \(-0.205022\pi\)
−0.919849 + 0.392273i \(0.871689\pi\)
\(642\) 23.1507 0.552625i 0.913686 0.0218104i
\(643\) −8.34195 31.1326i −0.328974 1.22775i −0.910256 0.414046i \(-0.864115\pi\)
0.581282 0.813702i \(-0.302551\pi\)
\(644\) −0.423934 + 1.79403i −0.0167053 + 0.0706947i
\(645\) −3.37771 23.9880i −0.132997 0.944525i
\(646\) −4.03199 + 34.5956i −0.158636 + 1.36114i
\(647\) 13.1882i 0.518482i 0.965813 + 0.259241i \(0.0834724\pi\)
−0.965813 + 0.259241i \(0.916528\pi\)
\(648\) −21.3774 13.8205i −0.839784 0.542920i
\(649\) 18.7653i 0.736604i
\(650\) −5.26583 0.613713i −0.206543 0.0240718i
\(651\) 3.50158 + 24.8677i 0.137238 + 0.974641i
\(652\) 17.6996 + 28.6528i 0.693172 + 1.12213i
\(653\) 4.09053 + 15.2661i 0.160075 + 0.597407i 0.998617 + 0.0525710i \(0.0167416\pi\)
−0.838542 + 0.544836i \(0.816592\pi\)
\(654\) 0.962437 + 40.3187i 0.0376343 + 1.57659i
\(655\) −9.39787 16.2776i −0.367205 0.636018i
\(656\) 10.3752 + 15.7292i 0.405085 + 0.614121i
\(657\) −10.3945 36.1782i −0.405528 1.41144i
\(658\) 17.4738 2.56546i 0.681198 0.100012i
\(659\) 34.5804 + 9.26579i 1.34706 + 0.360944i 0.859049 0.511893i \(-0.171056\pi\)
0.488012 + 0.872837i \(0.337722\pi\)
\(660\) −18.9724 1.75340i −0.738499 0.0682509i
\(661\) −24.5781 + 6.58569i −0.955978 + 0.256153i −0.702897 0.711292i \(-0.748111\pi\)
−0.253081 + 0.967445i \(0.581444\pi\)
\(662\) −11.3801 26.3578i −0.442298 1.02443i
\(663\) −11.6732 27.4802i −0.453349 1.06724i
\(664\) −4.08993 23.0606i −0.158720 0.894926i
\(665\) 25.2244i 0.978162i
\(666\) 7.45576 1.23195i 0.288905 0.0477372i
\(667\) −2.43195 2.43195i −0.0941656 0.0941656i
\(668\) 12.9770 13.7732i 0.502097 0.532901i
\(669\) 11.8407 + 15.1472i 0.457788 + 0.585625i
\(670\) 4.72932 + 1.87702i 0.182710 + 0.0725156i
\(671\) −8.02196 + 13.8944i −0.309684 + 0.536389i
\(672\) 11.3220 13.3869i 0.436757 0.516411i
\(673\) −16.8241 29.1402i −0.648522 1.12327i −0.983476 0.181039i \(-0.942054\pi\)
0.334954 0.942235i \(-0.391279\pi\)
\(674\) −0.428316 2.91732i −0.0164981 0.112371i
\(675\) −2.38116 + 3.28282i −0.0916509 + 0.126356i
\(676\) 5.78894 + 19.2897i 0.222652 + 0.741912i
\(677\) −9.52351 + 35.5422i −0.366018 + 1.36600i 0.500017 + 0.866015i \(0.333327\pi\)
−0.866035 + 0.499983i \(0.833340\pi\)
\(678\) −0.477740 1.62663i −0.0183475 0.0624705i
\(679\) 12.8854 + 7.43937i 0.494495 + 0.285497i
\(680\) −13.4190 15.9598i −0.514595 0.612030i
\(681\) −29.8764 3.66039i −1.14487 0.140267i
\(682\) 30.4757 + 3.55183i 1.16698 + 0.136007i
\(683\) −0.339146 0.339146i −0.0129771 0.0129771i 0.700588 0.713566i \(-0.252921\pi\)
−0.713566 + 0.700588i \(0.752921\pi\)
\(684\) −30.4707 27.6923i −1.16507 1.05884i
\(685\) −0.898173 + 0.898173i −0.0343174 + 0.0343174i
\(686\) −16.9555 21.4290i −0.647363 0.818165i
\(687\) 25.5277 10.8438i 0.973941 0.413715i
\(688\) 18.0785 20.3691i 0.689237 0.776566i
\(689\) −17.8749 + 30.9602i −0.680978 + 1.17949i
\(690\) −2.21295 + 1.34906i −0.0842455 + 0.0513580i
\(691\) 17.3154 + 4.63964i 0.658707 + 0.176500i 0.572663 0.819791i \(-0.305911\pi\)
0.0860448 + 0.996291i \(0.472577\pi\)
\(692\) 22.6830 42.1353i 0.862279 1.60174i
\(693\) −7.40971 12.3172i −0.281472 0.467890i
\(694\) 7.13356 9.58869i 0.270786 0.363982i
\(695\) 33.9955 19.6273i 1.28952 0.744506i
\(696\) 10.1474 + 31.0971i 0.384636 + 1.17873i
\(697\) 14.6412 + 8.45311i 0.554576 + 0.320184i
\(698\) −2.02586 + 0.874671i −0.0766800 + 0.0331068i
\(699\) 6.08693 + 43.2284i 0.230229 + 1.63505i
\(700\) −2.03299 1.91547i −0.0768396 0.0723980i
\(701\) −14.5424 + 14.5424i −0.549258 + 0.549258i −0.926226 0.376968i \(-0.876967\pi\)
0.376968 + 0.926226i \(0.376967\pi\)
\(702\) 34.4451 + 7.70095i 1.30005 + 0.290654i
\(703\) 12.2231 0.461001
\(704\) −12.3215 17.5224i −0.464382 0.660399i
\(705\) 19.8342 + 14.9380i 0.746998 + 0.562596i
\(706\) −21.3849 8.48743i −0.804830 0.319429i
\(707\) 2.25416 + 8.41264i 0.0847764 + 0.316390i
\(708\) −4.09875 23.9288i −0.154040 0.899300i
\(709\) −8.65273 + 32.2924i −0.324960 + 1.21277i 0.589392 + 0.807847i \(0.299367\pi\)
−0.914352 + 0.404920i \(0.867299\pi\)
\(710\) 17.6750 + 13.1494i 0.663330 + 0.493488i
\(711\) −17.3478 16.7350i −0.650594 0.627611i
\(712\) 42.3830 19.8150i 1.58837 0.742599i
\(713\) 3.61441 2.08678i 0.135361 0.0781505i
\(714\) 3.70766 15.2876i 0.138756 0.572125i
\(715\) 25.5178 6.83748i 0.954313 0.255707i
\(716\) −17.2926 27.9939i −0.646254 1.04618i
\(717\) 5.36999 13.3012i 0.200546 0.496744i
\(718\) −2.70404 3.41748i −0.100914 0.127539i
\(719\) 38.7103 1.44365 0.721826 0.692075i \(-0.243303\pi\)
0.721826 + 0.692075i \(0.243303\pi\)
\(720\) 24.5758 1.90810i 0.915886 0.0711108i
\(721\) −12.6695 −0.471837
\(722\) −24.6514 31.1555i −0.917431 1.15949i
\(723\) −13.6548 17.4678i −0.507826 0.649636i
\(724\) −26.3203 + 16.2588i −0.978187 + 0.604253i
\(725\) 5.03373 1.34878i 0.186948 0.0500925i
\(726\) 9.00240 2.64399i 0.334110 0.0981277i
\(727\) −24.4245 + 14.1015i −0.905853 + 0.522994i −0.879095 0.476647i \(-0.841852\pi\)
−0.0267585 + 0.999642i \(0.508519\pi\)
\(728\) −8.29167 + 22.8521i −0.307310 + 0.846953i
\(729\) 18.0349 20.0934i 0.667958 0.744199i
\(730\) 29.2445 + 21.7566i 1.08239 + 0.805249i
\(731\) 6.32442 23.6031i 0.233917 0.872990i
\(732\) 7.19445 19.4698i 0.265914 0.719625i
\(733\) 1.95090 + 7.28085i 0.0720580 + 0.268924i 0.992550 0.121837i \(-0.0388785\pi\)
−0.920492 + 0.390761i \(0.872212\pi\)
\(734\) −3.63402 1.44230i −0.134134 0.0532364i
\(735\) 1.64325 13.4123i 0.0606123 0.494722i
\(736\) −2.76742 0.911920i −0.102008 0.0336138i
\(737\) 4.68989 0.172754
\(738\) −18.2033 + 8.25068i −0.670073 + 0.303712i
\(739\) −16.1043 + 16.1043i −0.592407 + 0.592407i −0.938281 0.345874i \(-0.887583\pi\)
0.345874 + 0.938281i \(0.387583\pi\)
\(740\) −5.01808 + 5.32594i −0.184468 + 0.195786i
\(741\) 52.9383 + 21.3723i 1.94474 + 0.785130i
\(742\) −17.2927 + 7.46616i −0.634835 + 0.274091i
\(743\) 5.50307 + 3.17720i 0.201888 + 0.116560i 0.597536 0.801842i \(-0.296147\pi\)
−0.395648 + 0.918402i \(0.629480\pi\)
\(744\) −39.6373 + 2.12738i −1.45317 + 0.0779937i
\(745\) 9.32837 5.38574i 0.341765 0.197318i
\(746\) −19.7680 + 26.5715i −0.723759 + 0.972851i
\(747\) 24.8372 0.446590i 0.908746 0.0163399i
\(748\) −16.9229 9.11021i −0.618761 0.333102i
\(749\) −16.3407 4.37848i −0.597077 0.159986i
\(750\) −0.694086 29.0768i −0.0253444 1.06174i
\(751\) 7.20371 12.4772i 0.262867 0.455299i −0.704136 0.710066i \(-0.748665\pi\)
0.967003 + 0.254767i \(0.0819986\pi\)
\(752\) 1.66020 + 27.8662i 0.0605414 + 1.01618i
\(753\) −27.2783 20.5445i −0.994077 0.748682i
\(754\) −28.1425 35.5677i −1.02489 1.29530i
\(755\) 13.0840 13.0840i 0.476176 0.476176i
\(756\) 12.1389 + 14.0879i 0.441488 + 0.512373i
\(757\) −29.7018 29.7018i −1.07953 1.07953i −0.996551 0.0829799i \(-0.973556\pi\)
−0.0829799 0.996551i \(-0.526444\pi\)
\(758\) 9.34774 + 1.08944i 0.339525 + 0.0395704i
\(759\) −1.43715 + 1.90821i −0.0521653 + 0.0692635i
\(760\) 39.7222 + 3.43533i 1.44088 + 0.124613i
\(761\) −21.6542 12.5021i −0.784965 0.453200i 0.0532222 0.998583i \(-0.483051\pi\)
−0.838187 + 0.545383i \(0.816384\pi\)
\(762\) 9.66107 10.1336i 0.349984 0.367101i
\(763\) 7.62545 28.4586i 0.276060 1.03027i
\(764\) 12.8100 3.84434i 0.463449 0.139083i
\(765\) 18.9514 11.4007i 0.685190 0.412194i
\(766\) −7.53153 51.2984i −0.272125 1.85349i
\(767\) 16.8307 + 29.1516i 0.607721 + 1.05260i
\(768\) 19.5391 + 19.6526i 0.705056 + 0.709151i
\(769\) −26.1481 + 45.2899i −0.942926 + 1.63320i −0.183076 + 0.983099i \(0.558605\pi\)
−0.759851 + 0.650097i \(0.774728\pi\)
\(770\) 12.9373 + 5.13468i 0.466227 + 0.185041i
\(771\) −4.55764 + 11.2891i −0.164140 + 0.406567i
\(772\) 1.36386 + 1.28502i 0.0490864 + 0.0462490i