Properties

Label 144.2.x.e.13.2
Level $144$
Weight $2$
Character 144.13
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 13.2
Character \(\chi\) \(=\) 144.13
Dual form 144.2.x.e.133.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.31447 + 0.521699i) q^{2} +(0.241506 + 1.71513i) q^{3} +(1.45566 - 1.37152i) q^{4} +(0.531653 + 1.98415i) q^{5} +(-1.21223 - 2.12849i) q^{6} +(1.54969 - 0.894715i) q^{7} +(-1.19790 + 2.56223i) q^{8} +(-2.88335 + 0.828427i) q^{9} +O(q^{10})\) \(q+(-1.31447 + 0.521699i) q^{2} +(0.241506 + 1.71513i) q^{3} +(1.45566 - 1.37152i) q^{4} +(0.531653 + 1.98415i) q^{5} +(-1.21223 - 2.12849i) 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} +(2.58637 + 0.693015i) q^{11} +(2.70388 + 2.16542i) q^{12} +(-4.63944 + 1.24314i) q^{13} +(-1.57025 + 1.98455i) q^{14} +(-3.27469 + 1.39104i) q^{15} +(0.237889 - 3.99292i) q^{16} -3.58889 q^{17} +(3.35789 - 2.59318i) q^{18} +(4.85244 + 4.85244i) q^{19} +(3.49520 + 2.15908i) q^{20} +(1.90881 + 2.44185i) q^{21} +(-3.76124 + 0.438359i) q^{22} +(-0.446082 - 0.257545i) q^{23} +(-4.68386 - 1.43576i) q^{24} +(0.675912 - 0.390238i) q^{25} +(5.44986 - 4.05446i) q^{26} +(-2.11721 - 4.74525i) q^{27} +(1.02871 - 3.42783i) q^{28} +(1.72815 - 6.44956i) q^{29} +(3.57877 - 3.53688i) q^{30} +(4.05128 - 7.01703i) q^{31} +(1.77041 + 5.37268i) q^{32} +(-0.563989 + 4.60332i) q^{33} +(4.71749 - 1.87232i) q^{34} +(2.59915 + 2.59915i) q^{35} +(-3.06097 + 5.16047i) q^{36} +(1.25948 - 1.25948i) q^{37} +(-8.90990 - 3.84687i) q^{38} +(-3.25259 - 7.65703i) q^{39} +(-5.72073 - 1.01460i) q^{40} +(4.07959 + 2.35535i) q^{41} +(-3.78299 - 2.21391i) q^{42} +(6.57670 + 1.76222i) q^{43} +(4.71535 - 2.53845i) q^{44} +(-3.17667 - 5.28058i) q^{45} +(0.720722 + 0.105815i) q^{46} +(-3.48945 - 6.04391i) q^{47} +(6.90583 - 0.556302i) q^{48} +(-1.89897 + 3.28911i) q^{49} +(-0.684879 + 0.865579i) q^{50} +(-0.866737 - 6.15542i) q^{51} +(-5.04847 + 8.17265i) q^{52} +(5.26302 - 5.26302i) q^{53} +(5.25860 + 5.13295i) q^{54} +5.50019i q^{55} +(0.436091 + 5.04245i) q^{56} +(-7.15068 + 9.49446i) q^{57} +(1.09313 + 9.37932i) q^{58} +(-1.81387 - 6.76946i) q^{59} +(-2.85900 + 6.51616i) q^{60} +(-1.55082 + 5.78773i) 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} +(-1.66020 - 6.34516i) q^{66} +(1.69184 - 0.453328i) q^{67} +(-5.22420 + 4.92222i) q^{68} +(0.333993 - 0.827288i) q^{69} +(-4.77248 - 2.06053i) q^{70} +7.58339i q^{71} +(1.33134 - 8.38019i) q^{72} +12.5473i q^{73} +(-0.998475 + 2.31261i) q^{74} +(0.832546 + 1.06503i) q^{75} +(13.7187 + 0.408302i) q^{76} +(4.62812 - 1.24010i) q^{77} +(8.27010 + 8.36806i) 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} +(-2.14313 + 7.99826i) q^{83} +(6.12761 + 0.936530i) q^{84} +(-1.90804 - 7.12091i) q^{85} +(-9.56422 + 1.11467i) q^{86} +(11.4792 + 1.40641i) q^{87} +(-4.87387 + 5.79671i) q^{88} -16.5414i q^{89} +(6.93051 + 5.28389i) q^{90} +(-6.07746 + 6.07746i) q^{91} +(-1.00257 + 0.236910i) q^{92} +(13.0135 + 5.25383i) q^{93} +(7.73988 + 6.12409i) q^{94} +(-7.04818 + 12.2078i) q^{95} +(-8.78728 + 4.33401i) q^{96} +(-4.15739 - 7.20082i) q^{97} +(0.780209 - 5.31413i) q^{98} +(-8.03151 + 0.144412i) 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 \(\left(\mathbb{Z}/144\mathbb{Z}\right)^\times\).

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

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.31447 + 0.521699i −0.929470 + 0.368897i
\(3\) 0.241506 + 1.71513i 0.139433 + 0.990231i
\(4\) 1.45566 1.37152i 0.727830 0.685758i
\(5\) 0.531653 + 1.98415i 0.237762 + 0.887341i 0.976884 + 0.213769i \(0.0685741\pi\)
−0.739122 + 0.673572i \(0.764759\pi\)
\(6\) −1.21223 2.12849i −0.494893 0.868954i
\(7\) 1.54969 0.894715i 0.585729 0.338171i −0.177678 0.984089i \(-0.556859\pi\)
0.763407 + 0.645918i \(0.223525\pi\)
\(8\) −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
\(11\) 2.58637 + 0.693015i 0.779819 + 0.208952i 0.626705 0.779257i \(-0.284403\pi\)
0.153114 + 0.988209i \(0.451070\pi\)
\(12\) 2.70388 + 2.16542i 0.780543 + 0.625102i
\(13\) −4.63944 + 1.24314i −1.28675 + 0.344784i −0.836425 0.548081i \(-0.815359\pi\)
−0.450325 + 0.892865i \(0.648692\pi\)
\(14\) −1.57025 + 1.98455i −0.419667 + 0.530393i
\(15\) −3.27469 + 1.39104i −0.845521 + 0.359165i
\(16\) 0.237889 3.99292i 0.0594722 0.998230i
\(17\) −3.58889 −0.870434 −0.435217 0.900326i \(-0.643328\pi\)
−0.435217 + 0.900326i \(0.643328\pi\)
\(18\) 3.35789 2.59318i 0.791461 0.611219i
\(19\) 4.85244 + 4.85244i 1.11323 + 1.11323i 0.992712 + 0.120514i \(0.0384543\pi\)
0.120514 + 0.992712i \(0.461546\pi\)
\(20\) 3.49520 + 2.15908i 0.781551 + 0.482786i
\(21\) 1.90881 + 2.44185i 0.416537 + 0.532855i
\(22\) −3.76124 + 0.438359i −0.801900 + 0.0934584i
\(23\) −0.446082 0.257545i −0.0930145 0.0537019i 0.452771 0.891627i \(-0.350435\pi\)
−0.545786 + 0.837925i \(0.683769\pi\)
\(24\) −4.68386 1.43576i −0.956090 0.293074i
\(25\) 0.675912 0.390238i 0.135182 0.0780476i
\(26\) 5.44986 4.05446i 1.06881 0.795145i
\(27\) −2.11721 4.74525i −0.407457 0.913225i
\(28\) 1.02871 3.42783i 0.194408 0.647799i
\(29\) 1.72815 6.44956i 0.320910 1.19765i −0.597450 0.801906i \(-0.703819\pi\)
0.918360 0.395746i \(-0.129514\pi\)
\(30\) 3.57877 3.53688i 0.653392 0.645743i
\(31\) 4.05128 7.01703i 0.727632 1.26030i −0.230249 0.973132i \(-0.573954\pi\)
0.957881 0.287164i \(-0.0927125\pi\)
\(32\) 1.77041 + 5.37268i 0.312967 + 0.949764i
\(33\) −0.563989 + 4.60332i −0.0981779 + 0.801336i
\(34\) 4.71749 1.87232i 0.809042 0.321101i
\(35\) 2.59915 + 2.59915i 0.439337 + 0.439337i
\(36\) −3.06097 + 5.16047i −0.510162 + 0.860078i
\(37\) 1.25948 1.25948i 0.207057 0.207057i −0.595959 0.803015i \(-0.703228\pi\)
0.803015 + 0.595959i \(0.203228\pi\)
\(38\) −8.90990 3.84687i −1.44538 0.624044i
\(39\) −3.25259 7.65703i −0.520831 1.22611i
\(40\) −5.72073 1.01460i −0.904527 0.160423i
\(41\) 4.07959 + 2.35535i 0.637126 + 0.367845i 0.783506 0.621384i \(-0.213429\pi\)
−0.146381 + 0.989228i \(0.546762\pi\)
\(42\) −3.78299 2.21391i −0.583728 0.341613i
\(43\) 6.57670 + 1.76222i 1.00294 + 0.268736i 0.722676 0.691187i \(-0.242912\pi\)
0.280262 + 0.959924i \(0.409579\pi\)
\(44\) 4.71535 2.53845i 0.710865 0.382685i
\(45\) −3.17667 5.28058i −0.473550 0.787182i
\(46\) 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 \(-0.336647\pi\)
\(48\) 6.90583 0.556302i 0.996771 0.0802952i
\(49\) −1.89897 + 3.28911i −0.271281 + 0.469873i
\(50\) −0.684879 + 0.865579i −0.0968565 + 0.122411i
\(51\) −0.866737 6.15542i −0.121367 0.861931i
\(52\) −5.04847 + 8.17265i −0.700097 + 1.13334i
\(53\) 5.26302 5.26302i 0.722932 0.722932i −0.246269 0.969201i \(-0.579205\pi\)
0.969201 + 0.246269i \(0.0792048\pi\)
\(54\) 5.25860 + 5.13295i 0.715605 + 0.698505i
\(55\) 5.50019i 0.741646i
\(56\) 0.436091 + 5.04245i 0.0582751 + 0.673826i
\(57\) −7.15068 + 9.49446i −0.947131 + 1.25757i
\(58\) 1.09313 + 9.37932i 0.143534 + 1.23157i
\(59\) −1.81387 6.76946i −0.236146 0.881308i −0.977629 0.210337i \(-0.932544\pi\)
0.741483 0.670972i \(-0.234123\pi\)
\(60\) −2.85900 + 6.51616i −0.369095 + 0.841233i
\(61\) −1.55082 + 5.78773i −0.198562 + 0.741042i 0.792754 + 0.609541i \(0.208646\pi\)
−0.991316 + 0.131501i \(0.958020\pi\)
\(62\) −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
\(66\) −1.66020 6.34516i −0.204357 0.781035i
\(67\) 1.69184 0.453328i 0.206692 0.0553829i −0.153988 0.988073i \(-0.549212\pi\)
0.360679 + 0.932690i \(0.382545\pi\)
\(68\) −5.22420 + 4.92222i −0.633528 + 0.596907i
\(69\) 0.333993 0.827288i 0.0402080 0.0995937i
\(70\) −4.77248 2.06053i −0.570421 0.246280i
\(71\) 7.58339i 0.899983i 0.893033 + 0.449992i \(0.148573\pi\)
−0.893033 + 0.449992i \(0.851427\pi\)
\(72\) 1.33134 8.38019i 0.156900 0.987614i
\(73\) 12.5473i 1.46855i 0.678854 + 0.734273i \(0.262477\pi\)
−0.678854 + 0.734273i \(0.737523\pi\)
\(74\) −0.998475 + 2.31261i −0.116070 + 0.268836i
\(75\) 0.832546 + 1.06503i 0.0961341 + 0.122979i
\(76\) 13.7187 + 0.408302i 1.57364 + 0.0468355i
\(77\) 4.62812 1.24010i 0.527423 0.141323i
\(78\) 8.27010 + 8.36806i 0.936404 + 0.947496i
\(79\) −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
\(83\) −2.14313 + 7.99826i −0.235239 + 0.877923i 0.742802 + 0.669511i \(0.233496\pi\)
−0.978041 + 0.208412i \(0.933171\pi\)
\(84\) 6.12761 + 0.936530i 0.668578 + 0.102184i
\(85\) −1.90804 7.12091i −0.206956 0.772371i
\(86\) −9.56422 + 1.11467i −1.03134 + 0.120198i
\(87\) 11.4792 + 1.40641i 1.23070 + 0.150783i
\(88\) −4.87387 + 5.79671i −0.519557 + 0.617931i
\(89\) 16.5414i 1.75339i −0.481047 0.876695i \(-0.659743\pi\)
0.481047 0.876695i \(-0.340257\pi\)
\(90\) 6.93051 + 5.28389i 0.730540 + 0.556971i
\(91\) −6.07746 + 6.07746i −0.637091 + 0.637091i
\(92\) −1.00257 + 0.236910i −0.104525 + 0.0246996i
\(93\) 13.0135 + 5.25383i 1.34944 + 0.544797i
\(94\) 7.73988 + 6.12409i 0.798308 + 0.631651i
\(95\) −7.04818 + 12.2078i −0.723128 + 1.25249i
\(96\) −8.78728 + 4.33401i −0.896848 + 0.442338i
\(97\) −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
\(99\) −8.03151 + 0.144412i −0.807197 + 0.0145140i
\(100\) 0.448680 1.49508i 0.0448680 0.149508i
\(101\) −4.70129 1.25971i −0.467796 0.125346i 0.0172183 0.999852i \(-0.494519\pi\)
−0.485014 + 0.874506i \(0.661186\pi\)
\(102\) 4.35058 + 7.63893i 0.430771 + 0.756367i
\(103\) −6.13162 3.54009i −0.604166 0.348816i 0.166512 0.986039i \(-0.446749\pi\)
−0.770679 + 0.637224i \(0.780083\pi\)
\(104\) 2.37239 13.3765i 0.232632 1.31167i
\(105\) −3.83018 + 5.08560i −0.373787 + 0.496303i
\(106\) −4.17237 + 9.66380i −0.405256 + 0.938631i
\(107\) 6.68494 6.68494i 0.646258 0.646258i −0.305829 0.952087i \(-0.598934\pi\)
0.952087 + 0.305829i \(0.0989335\pi\)
\(108\) −9.59012 4.00369i −0.922810 0.385255i
\(109\) −11.6423 11.6423i −1.11513 1.11513i −0.992445 0.122687i \(-0.960849\pi\)
−0.122687 0.992445i \(-0.539151\pi\)
\(110\) −2.86945 7.22983i −0.273591 0.689338i
\(111\) 2.46434 + 1.85600i 0.233905 + 0.176163i
\(112\) −3.20387 6.40064i −0.302737 0.604804i
\(113\) 0.346060 0.599393i 0.0325545 0.0563861i −0.849289 0.527928i \(-0.822969\pi\)
0.881844 + 0.471542i \(0.156302\pi\)
\(114\) 4.44609 16.2107i 0.416415 1.51827i
\(115\) 0.273849 1.02202i 0.0255366 0.0953039i
\(116\) −6.33007 11.7586i −0.587732 1.09175i
\(117\) 12.3473 7.42784i 1.14151 0.686704i
\(118\) 5.91590 + 7.95195i 0.544603 + 0.732036i
\(119\) −5.56168 + 3.21104i −0.509838 + 0.294355i
\(120\) 0.358589 10.0568i 0.0327345 0.918059i
\(121\) −3.31726 1.91522i −0.301569 0.174111i
\(122\) −0.980952 8.41685i −0.0888113 0.762026i
\(123\) −3.05450 + 7.56587i −0.275415 + 0.682192i
\(124\) −3.72668 15.7708i −0.334666 1.41626i
\(125\) 8.39615 + 8.39615i 0.750975 + 0.750975i
\(126\) 2.88353 7.02299i 0.256885 0.625658i
\(127\) 5.71585 0.507200 0.253600 0.967309i \(-0.418385\pi\)
0.253600 + 0.967309i \(0.418385\pi\)
\(128\) 9.94582 + 5.39265i 0.879095 + 0.476647i
\(129\) −1.43413 + 11.7055i −0.126268 + 1.03061i
\(130\) 10.9421 + 8.65781i 0.959686 + 0.759340i
\(131\) −8.83835 + 2.36823i −0.772210 + 0.206913i −0.623348 0.781945i \(-0.714228\pi\)
−0.148863 + 0.988858i \(0.547561\pi\)
\(132\) 5.49255 + 7.47439i 0.478065 + 0.650562i
\(133\) 11.8613 + 3.17824i 1.02851 + 0.275588i
\(134\) −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 −0.522702 0.852516i \(-0.675076\pi\)
0.476949 + 0.878931i \(0.341743\pi\)
\(138\) −0.00742822 + 1.26169i −0.000632332 + 0.107402i
\(139\) 4.94601 + 18.4588i 0.419515 + 1.56565i 0.775616 + 0.631205i \(0.217439\pi\)
−0.356101 + 0.934447i \(0.615894\pi\)
\(140\) 7.34826 + 0.218702i 0.621041 + 0.0184837i
\(141\) 9.52338 7.44451i 0.802013 0.626941i
\(142\) −3.95625 9.96814i −0.332001 0.836508i
\(143\) −12.8608 −1.07547
\(144\) 2.62193 + 11.7101i 0.218494 + 0.975838i
\(145\) 13.7157 1.13903
\(146\) −6.54590 16.4930i −0.541743 1.36497i
\(147\) −6.09987 2.46264i −0.503109 0.203115i
\(148\) 0.105977 3.56076i 0.00871125 0.292693i
\(149\) 1.35719 + 5.06509i 0.111185 + 0.414948i 0.998973 0.0453039i \(-0.0144256\pi\)
−0.887788 + 0.460252i \(0.847759\pi\)
\(150\) −1.64998 0.965615i −0.134721 0.0788421i
\(151\) 7.80108 4.50395i 0.634843 0.366527i −0.147782 0.989020i \(-0.547214\pi\)
0.782625 + 0.622493i \(0.213880\pi\)
\(152\) −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
\(155\) 16.0767 + 4.30775i 1.29132 + 0.346007i
\(156\) −15.2364 6.68505i −1.21989 0.535232i
\(157\) −10.9432 + 2.93223i −0.873364 + 0.234017i −0.667542 0.744572i \(-0.732653\pi\)
−0.205822 + 0.978589i \(0.565987\pi\)
\(158\) 8.91079 + 7.05056i 0.708905 + 0.560912i
\(159\) 10.2978 + 7.75573i 0.816671 + 0.615069i
\(160\) −9.71898 + 6.36916i −0.768353 + 0.503526i
\(161\) −0.921720 −0.0726417
\(162\) −7.53369 + 10.2588i −0.591903 + 0.806009i
\(163\) −11.9073 11.9073i −0.932649 0.932649i 0.0652222 0.997871i \(-0.479224\pi\)
−0.997871 + 0.0652222i \(0.979224\pi\)
\(164\) 9.16891 2.16663i 0.715971 0.169186i
\(165\) −9.43355 + 1.32833i −0.734401 + 0.103410i
\(166\) −1.35561 11.6315i −0.105216 0.902782i
\(167\) −8.19418 4.73091i −0.634085 0.366089i 0.148248 0.988950i \(-0.452637\pi\)
−0.782332 + 0.622861i \(0.785970\pi\)
\(168\) −8.54315 + 1.96573i −0.659118 + 0.151660i
\(169\) 8.72072 5.03491i 0.670825 0.387301i
\(170\) 6.22304 + 8.36480i 0.477285 + 0.641551i
\(171\) −18.0112 9.97139i −1.37735 0.762531i
\(172\) 11.9903 6.45485i 0.914255 0.492178i
\(173\) −6.19263 + 23.1112i −0.470817 + 1.75711i 0.166030 + 0.986121i \(0.446905\pi\)
−0.636846 + 0.770991i \(0.719761\pi\)
\(174\) −15.8228 + 4.14001i −1.19952 + 0.313853i
\(175\) 0.698304 1.20950i 0.0527868 0.0914295i
\(176\) 3.38242 10.1623i 0.254959 0.766011i
\(177\) 11.1724 4.74589i 0.839773 0.356723i
\(178\) 8.62966 + 21.7432i 0.646820 + 1.62972i
\(179\) 11.6334 + 11.6334i 0.869521 + 0.869521i 0.992419 0.122898i \(-0.0392188\pi\)
−0.122898 + 0.992419i \(0.539219\pi\)
\(180\) −11.8665 3.32987i −0.884480 0.248194i
\(181\) −10.9379 + 10.9379i −0.813010 + 0.813010i −0.985084 0.172074i \(-0.944953\pi\)
0.172074 + 0.985084i \(0.444953\pi\)
\(182\) 4.81803 11.1592i 0.357136 0.827178i
\(183\) −10.3012 1.26209i −0.761490 0.0932961i
\(184\) 1.19425 0.834451i 0.0880415 0.0615166i
\(185\) 3.16860 + 1.82939i 0.232960 + 0.134500i
\(186\) −19.8468 0.116849i −1.45524 0.00856775i
\(187\) −9.28218 2.48715i −0.678780 0.181879i
\(188\) −13.3688 4.01203i −0.975018 0.292608i
\(189\) −7.52667 5.45939i −0.547485 0.397112i
\(190\) 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 \(0.755551\pi\)
\(192\) 9.28956 10.2812i 0.670417 0.741985i
\(193\) −0.468469 + 0.811411i −0.0337211 + 0.0584067i −0.882393 0.470512i \(-0.844069\pi\)
0.848672 + 0.528919i \(0.177402\pi\)
\(194\) 9.22143 + 7.29634i 0.662060 + 0.523847i
\(195\) 13.4635 10.5245i 0.964140 0.753677i
\(196\) 1.74682 + 7.39229i 0.124773 + 0.528021i
\(197\) −14.7962 + 14.7962i −1.05419 + 1.05419i −0.0557400 + 0.998445i \(0.517752\pi\)
−0.998445 + 0.0557400i \(0.982248\pi\)
\(198\) 10.4818 4.37986i 0.744911 0.311263i
\(199\) 2.36977i 0.167988i 0.996466 + 0.0839942i \(0.0267677\pi\)
−0.996466 + 0.0839942i \(0.973232\pi\)
\(200\) 0.190205 + 2.19931i 0.0134495 + 0.155515i
\(201\) 1.18611 + 2.79225i 0.0836616 + 0.196950i
\(202\) 6.83689 0.796814i 0.481042 0.0560637i
\(203\) −3.09241 11.5410i −0.217045 0.810022i
\(204\) −9.70393 7.77145i −0.679411 0.544110i
\(205\) −2.50446 + 9.34678i −0.174919 + 0.652807i
\(206\) 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
\(210\) 2.38150 8.68306i 0.164339 0.599188i
\(211\) 1.94786 0.521927i 0.134096 0.0359309i −0.191147 0.981561i \(-0.561221\pi\)
0.325243 + 0.945631i \(0.394554\pi\)
\(212\) 0.442850 14.8795i 0.0304151 1.02193i
\(213\) −13.0065 + 1.83143i −0.891192 + 0.125488i
\(214\) −5.29962 + 12.2747i −0.362275 + 0.839080i
\(215\) 13.9861i 0.953842i
\(216\) 14.6946 + 0.259569i 0.999844 + 0.0176614i
\(217\) 14.4990i 0.984255i
\(218\) 21.3773 + 9.22968i 1.44785 + 0.625113i
\(219\) −21.5202 + 3.03023i −1.45420 + 0.204764i
\(220\) 7.54360 + 8.00641i 0.508589 + 0.539792i
\(221\) 16.6505 4.46148i 1.12003 0.300111i
\(222\) −4.20757 1.15401i −0.282393 0.0774519i
\(223\) 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
\(227\) 4.49779 16.7860i 0.298529 1.11412i −0.639845 0.768504i \(-0.721002\pi\)
0.938374 0.345621i \(-0.112332\pi\)
\(228\) 2.61285 + 23.6280i 0.173040 + 1.56480i
\(229\) −4.14447 15.4674i −0.273874 1.02211i −0.956592 0.291430i \(-0.905869\pi\)
0.682718 0.730682i \(-0.260798\pi\)
\(230\) 0.173221 + 1.48628i 0.0114218 + 0.0980025i
\(231\) 3.24465 + 7.63835i 0.213483 + 0.502566i
\(232\) 14.4551 + 12.1539i 0.949024 + 0.797940i
\(233\) 25.2041i 1.65118i −0.564273 0.825588i \(-0.690844\pi\)
0.564273 0.825588i \(-0.309156\pi\)
\(234\) −12.3550 + 16.2052i −0.807674 + 1.05937i
\(235\) 10.1369 10.1369i 0.661257 0.661257i
\(236\) −11.9248 7.36627i −0.776238 0.479504i
\(237\) 10.9641 8.57073i 0.712195 0.556729i
\(238\) 5.63546 7.12233i 0.365292 0.461672i
\(239\) 4.14085 7.17217i 0.267850 0.463929i −0.700457 0.713695i \(-0.747020\pi\)
0.968306 + 0.249766i \(0.0803537\pi\)
\(240\) 4.77529 + 13.4065i 0.308244 + 0.865385i
\(241\) −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
\(243\) 10.0357 + 11.9283i 0.643793 + 0.765199i
\(244\) 5.68050 + 10.5519i 0.363657 + 0.675518i
\(245\) −7.53570 2.01918i −0.481438 0.129001i
\(246\) 0.0679340 11.5386i 0.00433131 0.735677i
\(247\) −28.5449 16.4804i −1.81627 1.04862i
\(248\) 13.1262 + 18.7860i 0.833516 + 1.19291i
\(249\) −14.2356 1.74412i −0.902147 0.110529i
\(250\) −15.4168 6.65622i −0.975041 0.420976i
\(251\) −13.9414 + 13.9414i −0.879976 + 0.879976i −0.993532 0.113556i \(-0.963776\pi\)
0.113556 + 0.993532i \(0.463776\pi\)
\(252\) −0.126419 + 10.7358i −0.00796367 + 0.676294i
\(253\) −0.975248 0.975248i −0.0613133 0.0613133i
\(254\) −7.51332 + 2.98196i −0.471427 + 0.187105i
\(255\) 11.7525 4.99228i 0.735970 0.312629i
\(256\) −15.8868 1.89974i −0.992926 0.118734i
\(257\) −3.51445 + 6.08720i −0.219225 + 0.379709i −0.954571 0.297983i \(-0.903686\pi\)
0.735346 + 0.677692i \(0.237020\pi\)
\(258\) −4.22162 16.1347i −0.262827 1.00450i
\(259\) 0.824928 3.07867i 0.0512585 0.191299i
\(260\) −18.8998 5.67193i −1.17212 0.351758i
\(261\) 0.360117 + 20.0280i 0.0222907 + 1.23970i
\(262\) 10.3822 7.72393i 0.641417 0.477186i
\(263\) 15.1779 8.76296i 0.935909 0.540348i 0.0472338 0.998884i \(-0.484959\pi\)
0.888676 + 0.458536i \(0.151626\pi\)
\(264\) −11.1192 6.95940i −0.684338 0.428321i
\(265\) 13.2408 + 7.64455i 0.813373 + 0.469601i
\(266\) −17.2495 + 2.01036i −1.05763 + 0.123263i
\(267\) 28.3707 3.99485i 1.73626 0.244481i
\(268\) 1.84100 2.98028i 0.112457 0.182050i
\(269\) −0.311911 0.311911i −0.0190176 0.0190176i 0.697534 0.716552i \(-0.254281\pi\)
−0.716552 + 0.697534i \(0.754281\pi\)
\(270\) −7.38881 + 13.1628i −0.449669 + 0.801064i
\(271\) 7.46993 0.453766 0.226883 0.973922i \(-0.427147\pi\)
0.226883 + 0.973922i \(0.427147\pi\)
\(272\) −0.853757 + 14.3302i −0.0517666 + 0.868893i
\(273\) −11.8914 8.95590i −0.719699 0.542036i
\(274\) 0.542622 0.685789i 0.0327810 0.0414300i
\(275\) 2.01860 0.540881i 0.121726 0.0326164i
\(276\) −0.648458 1.66233i −0.0390326 0.100060i
\(277\) −10.1481 2.71916i −0.609737 0.163379i −0.0592792 0.998241i \(-0.518880\pi\)
−0.550458 + 0.834863i \(0.685547\pi\)
\(278\) −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 −0.661963 0.749537i \(-0.730276\pi\)
0.318136 + 0.948045i \(0.396943\pi\)
\(282\) −8.63439 + 14.7539i −0.514170 + 0.878583i
\(283\) 2.85005 + 10.6365i 0.169418 + 0.632275i 0.997435 + 0.0715734i \(0.0228020\pi\)
−0.828018 + 0.560702i \(0.810531\pi\)
\(284\) 10.4007 + 11.0388i 0.617171 + 0.655034i
\(285\) −22.6402 9.14030i −1.34109 0.541424i
\(286\) 16.9051 6.70948i 0.999622 0.396740i
\(287\) 8.42949 0.497577
\(288\) −9.55557 14.0247i −0.563068 0.826411i
\(289\) −4.11987 −0.242345
\(290\) −18.0289 + 7.15547i −1.05869 + 0.420184i
\(291\) 11.3463 8.86951i 0.665133 0.519940i
\(292\) 17.2088 + 18.2645i 1.00707 + 1.06885i
\(293\) 0.739342 + 2.75926i 0.0431928 + 0.161198i 0.984154 0.177318i \(-0.0567420\pi\)
−0.940961 + 0.338515i \(0.890075\pi\)
\(294\) 9.30285 + 0.0547707i 0.542553 + 0.00319429i
\(295\) 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
\(299\) 2.38974 + 0.640328i 0.138202 + 0.0370311i
\(300\) 2.67261 + 0.408476i 0.154303 + 0.0235834i
\(301\) 11.7685 3.15337i 0.678328 0.181757i
\(302\) −7.90457 + 9.99013i −0.454857 + 0.574867i
\(303\) 1.02518 8.36756i 0.0588948 0.480704i
\(304\) 20.5297 18.2211i 1.17746 1.04505i
\(305\) −12.3082 −0.704768
\(306\) −12.0511 + 9.30665i −0.688915 + 0.532026i
\(307\) −8.15691 8.15691i −0.465540 0.465540i 0.434926 0.900466i \(-0.356774\pi\)
−0.900466 + 0.434926i \(0.856774\pi\)
\(308\) 5.03615 8.15271i 0.286961 0.464544i
\(309\) 4.59090 11.3715i 0.261167 0.646901i
\(310\) −23.3797 + 2.72482i −1.32788 + 0.154760i
\(311\) 8.33416 + 4.81173i 0.472587 + 0.272848i 0.717322 0.696742i \(-0.245368\pi\)
−0.244735 + 0.969590i \(0.578701\pi\)
\(312\) 23.5154 + 0.838469i 1.33130 + 0.0474690i
\(313\) 22.2531 12.8478i 1.25782 0.726202i 0.285168 0.958477i \(-0.407951\pi\)
0.972650 + 0.232276i \(0.0746172\pi\)
\(314\) 12.8548 9.56339i 0.725437 0.539693i
\(315\) −9.64747 5.34106i −0.543573 0.300934i
\(316\) −15.3912 4.61899i −0.865825 0.259838i
\(317\) −4.18167 + 15.6062i −0.234866 + 0.876532i 0.743343 + 0.668910i \(0.233239\pi\)
−0.978209 + 0.207622i \(0.933428\pi\)
\(318\) −17.5823 4.82230i −0.985968 0.270421i
\(319\) 8.93928 15.4833i 0.500503 0.866897i
\(320\) 9.45252 13.4424i 0.528412 0.751456i
\(321\) 13.0800 + 9.85110i 0.730055 + 0.549835i
\(322\) 1.21157 0.480861i 0.0675183 0.0267973i
\(323\) −17.4149 17.4149i −0.968989 0.968989i
\(324\) 4.55079 17.4152i 0.252822 0.967513i
\(325\) −2.65074 + 2.65074i −0.147036 + 0.147036i
\(326\) 21.8637 + 9.43972i 1.21092 + 0.522818i
\(327\) 17.1564 22.7798i 0.948752 1.25973i
\(328\) −10.9219 + 7.63139i −0.603062 + 0.421373i
\(329\) −10.8152 6.24413i −0.596259 0.344250i
\(330\) 11.7071 6.66752i 0.644456 0.367035i
\(331\) −19.6090 5.25422i −1.07781 0.288798i −0.324111 0.946019i \(-0.605065\pi\)
−0.753698 + 0.657221i \(0.771732\pi\)
\(332\) 7.85007 + 14.5821i 0.430829 + 0.800295i
\(333\) −2.58813 + 4.67489i −0.141828 + 0.256183i
\(334\) 13.2391 + 1.94374i 0.724412 + 0.106357i
\(335\) 1.79895 + 3.11587i 0.0982870 + 0.170238i
\(336\) 10.2042 7.04085i 0.556684 0.384110i
\(337\) 1.04249 1.80564i 0.0567879 0.0983595i −0.836234 0.548373i \(-0.815247\pi\)
0.893022 + 0.450013i \(0.148581\pi\)
\(338\) −8.83641 + 11.1678i −0.480637 + 0.607450i
\(339\) 1.11161 + 0.448781i 0.0603745 + 0.0243744i
\(340\) −12.5439 7.74871i −0.680289 0.420233i
\(341\) 15.3410 15.3410i 0.830762 0.830762i
\(342\) 28.8772 + 3.71067i 1.56150 + 0.200650i
\(343\) 19.3222i 1.04330i
\(344\) −12.3935 + 14.7401i −0.668210 + 0.794731i
\(345\) 1.81903 + 0.222864i 0.0979335 + 0.0119986i
\(346\) −3.91708 33.6096i −0.210583 1.80687i
\(347\) −2.18722 8.16281i −0.117416 0.438203i 0.882040 0.471174i \(-0.156170\pi\)
−0.999456 + 0.0329715i \(0.989503\pi\)
\(348\) 18.6387 13.6967i 0.999140 0.734218i
\(349\) 0.403839 1.50715i 0.0216170 0.0806758i −0.954275 0.298931i \(-0.903370\pi\)
0.975892 + 0.218255i \(0.0700366\pi\)
\(350\) −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 \(0.975861\pi\)
\(354\) −12.2099 + 12.0670i −0.648950 + 0.641353i
\(355\) −15.0466 + 4.03173i −0.798592 + 0.213982i
\(356\) −22.6869 24.0787i −1.20240 1.27617i
\(357\) −6.85052 8.76352i −0.362568 0.463815i
\(358\) −21.3609 9.22261i −1.12896 0.487430i
\(359\) 3.08148i 0.162634i 0.996688 + 0.0813172i \(0.0259127\pi\)
−0.996688 + 0.0813172i \(0.974087\pi\)
\(360\) 17.3354 1.81375i 0.913656 0.0955933i
\(361\) 28.0923i 1.47854i
\(362\) 8.67126 20.0839i 0.455751 1.05559i
\(363\) 2.48372 6.15208i 0.130362 0.322900i
\(364\) −0.511380 + 17.1820i −0.0268036 + 0.900584i
\(365\) −24.8957 + 6.67079i −1.30310 + 0.349165i
\(366\) 14.1991 3.71518i 0.742199 0.194195i
\(367\) −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
\(371\) 3.44716 12.8650i 0.178968 0.667916i
\(372\) 26.1490 10.2005i 1.35576 0.528870i
\(373\) 6.06106 + 22.6202i 0.313830 + 1.17123i 0.925074 + 0.379787i \(0.124003\pi\)
−0.611244 + 0.791442i \(0.709331\pi\)
\(374\) 13.4987 1.57322i 0.698001 0.0813494i
\(375\) −12.3728 + 16.4282i −0.638928 + 0.848350i
\(376\) 19.6659 1.70078i 1.01419 0.0877112i
\(377\) 32.0707i 1.65172i
\(378\) 12.7417 + 3.24954i 0.655364 + 0.167138i
\(379\) 4.70551 4.70551i 0.241706 0.241706i −0.575850 0.817555i \(-0.695329\pi\)
0.817555 + 0.575850i \(0.195329\pi\)
\(380\) 6.48345 + 27.4371i 0.332594 + 1.40749i
\(381\) 1.38041 + 9.80344i 0.0707206 + 0.502245i
\(382\) −7.41637 5.86811i −0.379455 0.300239i
\(383\) 18.3311 31.7505i 0.936678 1.62237i 0.165063 0.986283i \(-0.447217\pi\)
0.771614 0.636091i \(-0.219450\pi\)
\(384\) −6.84713 + 18.3607i −0.349416 + 0.936968i
\(385\) 4.92111 + 8.52361i 0.250803 + 0.434403i
\(386\) 0.192475 1.31098i 0.00979671 0.0667269i
\(387\) −20.4228 + 0.367216i −1.03815 + 0.0186666i
\(388\) −15.9278 4.78001i −0.808611 0.242668i
\(389\) 2.82758 + 0.757647i 0.143364 + 0.0384142i 0.329787 0.944055i \(-0.393023\pi\)
−0.186423 + 0.982469i \(0.559690\pi\)
\(390\) −12.2067 + 20.8581i −0.618110 + 1.05619i
\(391\) 1.60094 + 0.924302i 0.0809630 + 0.0467440i
\(392\) −6.15269 8.80563i −0.310758 0.444751i
\(393\) −6.19634 14.5870i −0.312564 0.735817i
\(394\) 11.7300 27.1683i 0.590948 1.36872i
\(395\) 11.6704 11.6704i 0.587202 0.587202i
\(396\) −11.4931 + 11.2256i −0.577549 + 0.564105i
\(397\) 13.3392 + 13.3392i 0.669474 + 0.669474i 0.957594 0.288120i \(-0.0930302\pi\)
−0.288120 + 0.957594i \(0.593030\pi\)
\(398\) −1.23631 3.11499i −0.0619705 0.156140i
\(399\) −2.58651 + 21.1113i −0.129488 + 1.05689i
\(400\) −1.39740 2.79170i −0.0698699 0.139585i
\(401\) −4.84547 + 8.39261i −0.241971 + 0.419107i −0.961276 0.275588i \(-0.911127\pi\)
0.719304 + 0.694695i \(0.244461\pi\)
\(402\) −3.01582 3.05154i −0.150415 0.152197i
\(403\) −10.0726 + 37.5914i −0.501751 + 1.87256i
\(404\) −8.57119 + 4.61419i −0.426433 + 0.229565i
\(405\) 13.5340 + 12.5941i 0.672511 + 0.625807i
\(406\) 10.0858 + 13.5570i 0.500551 + 0.672824i
\(407\) 4.13030 2.38463i 0.204731 0.118202i
\(408\) 16.8099 + 5.15280i 0.832213 + 0.255102i
\(409\) 6.19403 + 3.57613i 0.306275 + 0.176828i 0.645258 0.763964i \(-0.276750\pi\)
−0.338983 + 0.940792i \(0.610083\pi\)
\(410\) −1.58417 13.5926i −0.0782366 0.671292i
\(411\) −0.659617 0.843814i −0.0325365 0.0416223i
\(412\) −13.7808 + 3.25644i −0.678933 + 0.160434i
\(413\) −8.86768 8.86768i −0.436350 0.436350i
\(414\) −2.16575 + 0.291964i −0.106441 + 0.0143493i
\(415\) −17.0092 −0.834948
\(416\) −14.8927 22.7254i −0.730173 1.11420i
\(417\) −30.4647 + 12.9410i −1.49186 + 0.633721i
\(418\) −20.3783 16.1241i −0.996736 0.788655i
\(419\) 17.9404 4.80711i 0.876445 0.234843i 0.207572 0.978220i \(-0.433444\pi\)
0.668873 + 0.743377i \(0.266777\pi\)
\(420\) 1.39954 + 12.6560i 0.0682906 + 0.617552i
\(421\) 1.97005 + 0.527873i 0.0960144 + 0.0257270i 0.306506 0.951869i \(-0.400840\pi\)
−0.210492 + 0.977596i \(0.567507\pi\)
\(422\) −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
\(426\) 16.1412 9.19285i 0.782044 0.445395i
\(427\) 2.77508 + 10.3567i 0.134295 + 0.501198i
\(428\) 0.562495 18.8995i 0.0271892 0.913542i
\(429\) −3.10596 22.0580i −0.149957 1.06497i
\(430\) −7.29653 18.3843i −0.351870 0.886568i
\(431\) −19.8202 −0.954707 −0.477354 0.878711i \(-0.658404\pi\)
−0.477354 + 0.878711i \(0.658404\pi\)
\(432\) −19.4511 + 7.32499i −0.935840 + 0.352424i
\(433\) 23.7342 1.14060 0.570298 0.821438i \(-0.306828\pi\)
0.570298 + 0.821438i \(0.306828\pi\)
\(434\) 7.56411 + 19.0585i 0.363089 + 0.914836i
\(435\) 3.31242 + 23.5242i 0.158818 + 1.12790i
\(436\) −32.9149 0.979628i −1.57634 0.0469156i
\(437\) −0.914861 3.41431i −0.0437637 0.163329i
\(438\) 26.7068 15.2102i 1.27610 0.726773i
\(439\) −19.0949 + 11.0245i −0.911350 + 0.526168i −0.880865 0.473367i \(-0.843039\pi\)
−0.0304850 + 0.999535i \(0.509705\pi\)
\(440\) −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
\(443\) −9.71199 2.60232i −0.461431 0.123640i 0.0206123 0.999788i \(-0.493438\pi\)
−0.482043 + 0.876148i \(0.660105\pi\)
\(444\) 6.13276 0.678179i 0.291048 0.0321849i
\(445\) 32.8208 8.79430i 1.55585 0.416890i
\(446\) −12.3105 9.74054i −0.582920 0.461228i
\(447\) −8.35953 + 3.55100i −0.395392 + 0.167957i
\(448\) −13.4423 4.92299i −0.635090 0.232590i
\(449\) 24.6980 1.16557 0.582786 0.812626i \(-0.301963\pi\)
0.582786 + 0.812626i \(0.301963\pi\)
\(450\) 1.25768 3.06314i 0.0592874 0.144398i
\(451\) 8.91903 + 8.91903i 0.419981 + 0.419981i
\(452\) −0.318332 1.34714i −0.0149731 0.0633640i
\(453\) 9.60887 + 12.2921i 0.451464 + 0.577535i
\(454\) 2.84503 + 24.4112i 0.133524 + 1.14567i
\(455\) −15.2897 8.82752i −0.716793 0.413841i
\(456\) −15.7612 29.6951i −0.738086 1.39060i
\(457\) −27.1171 + 15.6561i −1.26849 + 0.732360i −0.974701 0.223511i \(-0.928248\pi\)
−0.293784 + 0.955872i \(0.594915\pi\)
\(458\) 13.5171 + 18.1692i 0.631612 + 0.848992i
\(459\) 7.59842 + 17.0302i 0.354664 + 0.794902i
\(460\) −1.00309 1.86330i −0.0467691 0.0868769i
\(461\) 3.17103 11.8344i 0.147689 0.551185i −0.851931 0.523653i \(-0.824569\pi\)
0.999621 0.0275314i \(-0.00876461\pi\)
\(462\) −8.24992 8.34764i −0.383821 0.388367i
\(463\) −12.7250 + 22.0403i −0.591379 + 1.02430i 0.402668 + 0.915346i \(0.368083\pi\)
−0.994047 + 0.108953i \(0.965250\pi\)
\(464\) −25.3415 8.43466i −1.17645 0.391569i
\(465\) −3.50574 + 28.6141i −0.162575 + 1.32695i
\(466\) 13.1490 + 33.1300i 0.609114 + 1.53472i
\(467\) −6.28473 6.28473i −0.290822 0.290822i 0.546583 0.837405i \(-0.315928\pi\)
−0.837405 + 0.546583i \(0.815928\pi\)
\(468\) 7.78606 27.7469i 0.359911 1.28260i
\(469\) 2.21624 2.21624i 0.102336 0.102336i
\(470\) −8.03621 + 18.6130i −0.370683 + 0.858554i
\(471\) −7.67200 18.0609i −0.353507 0.832203i
\(472\) 19.5178 + 3.46158i 0.898378 + 0.159332i
\(473\) 15.7885 + 9.11550i 0.725956 + 0.419131i
\(474\) −9.94063 + 16.9859i −0.456588 + 0.780190i
\(475\) 5.17343 + 1.38622i 0.237373 + 0.0636040i
\(476\) −3.69192 + 12.3021i −0.169219 + 0.563866i
\(477\) −10.8151 + 19.5352i −0.495190 + 0.894454i
\(478\) −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 \(0.856796\pi\)
\(480\) −13.2711 15.1311i −0.605741 0.690639i
\(481\) −4.27757 + 7.40897i −0.195040 + 0.337820i
\(482\) 14.1966 + 11.2329i 0.646635 + 0.511642i
\(483\) −0.222600 1.58087i −0.0101287 0.0719321i
\(484\) −7.45556 + 1.76177i −0.338889 + 0.0800803i
\(485\) 12.0772 12.0772i 0.548399 0.548399i
\(486\) −19.4147 10.4437i −0.880667 0.473736i
\(487\) 11.2953i 0.511838i −0.966698 0.255919i \(-0.917622\pi\)
0.966698 0.255919i \(-0.0823780\pi\)
\(488\) −12.9718 10.9067i −0.587205 0.493722i
\(489\) 17.5468 23.2982i 0.793496 1.05358i
\(490\) 10.9588 1.27721i 0.495070 0.0576986i
\(491\) 7.32459 + 27.3357i 0.330554 + 1.23364i 0.908609 + 0.417647i \(0.137145\pi\)
−0.578055 + 0.815998i \(0.696188\pi\)
\(492\) 5.93040 + 15.2026i 0.267363 + 0.685387i
\(493\) −6.20215 + 23.1468i −0.279331 + 1.04248i
\(494\) 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
\(498\) 19.6222 5.13413i 0.879292 0.230066i
\(499\) 16.8830 4.52377i 0.755785 0.202512i 0.139702 0.990194i \(-0.455385\pi\)
0.616082 + 0.787682i \(0.288719\pi\)
\(500\) 23.7374 + 0.706483i 1.06157 + 0.0315949i
\(501\) 6.13520 15.1966i 0.274100 0.678936i
\(502\) 11.0524 25.5988i 0.493291 1.14253i
\(503\) 14.1184i 0.629509i −0.949173 0.314754i \(-0.898078\pi\)
0.949173 0.314754i \(-0.101922\pi\)
\(504\) −5.43471 14.1779i −0.242081 0.631533i
\(505\) 9.99782i 0.444897i
\(506\) 1.79072 + 0.773147i 0.0796072 + 0.0343706i
\(507\) 10.7416 + 13.7412i 0.477053 + 0.610269i
\(508\) 8.32034 7.83938i 0.369155 0.347816i
\(509\) 29.4208 7.88327i 1.30405 0.349420i 0.461072 0.887363i \(-0.347465\pi\)
0.842981 + 0.537943i \(0.180798\pi\)
\(510\) −12.8438 + 12.6935i −0.568734 + 0.562077i
\(511\) 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
\(515\) 3.76420 14.0482i 0.165870 0.619037i
\(516\) 13.9667 + 19.0061i 0.614848 + 0.836699i
\(517\) −4.83648 18.0500i −0.212708 0.793838i
\(518\) 0.521799 + 4.47719i 0.0229265 + 0.196716i
\(519\) −41.1343 5.03969i −1.80559 0.221218i
\(520\) 27.8023 2.40445i 1.21921 0.105442i
\(521\) 8.75761i 0.383678i 0.981426 + 0.191839i \(0.0614451\pi\)
−0.981426 + 0.191839i \(0.938555\pi\)
\(522\) −10.9220 26.1383i −0.478041 1.14404i
\(523\) 21.3424 21.3424i 0.933236 0.933236i −0.0646706 0.997907i \(-0.520600\pi\)
0.997907 + 0.0646706i \(0.0205997\pi\)
\(524\) −9.61757 + 15.5693i −0.420145 + 0.680147i
\(525\) 2.24309 + 0.905583i 0.0978966 + 0.0395229i
\(526\) −15.3793 + 19.4370i −0.670567 + 0.847491i
\(527\) −14.5396 + 25.1834i −0.633356 + 1.09700i
\(528\) 18.2465 + 3.34704i 0.794078 + 0.145661i
\(529\) −11.3673 19.6888i −0.494232 0.856035i
\(530\) −21.3927 3.14084i −0.929241 0.136429i
\(531\) 10.8380 + 18.0161i 0.470330 + 0.781830i
\(532\) 21.6251 11.6416i 0.937566 0.504727i
\(533\) −21.8551 5.85605i −0.946648 0.253654i
\(534\) −35.2084 + 20.0521i −1.52361 + 0.867740i
\(535\) 16.8180 + 9.70989i 0.727107 + 0.419795i
\(536\) −0.865129 + 4.87794i −0.0373679 + 0.210695i
\(537\) −17.1433 + 22.7623i −0.739787 + 0.982268i
\(538\) 0.572721 + 0.247274i 0.0246918 + 0.0106607i
\(539\) −7.19083 + 7.19083i −0.309731 + 0.309731i
\(540\) 2.84533 21.1569i 0.122444 0.910446i
\(541\) −25.1121 25.1121i −1.07965 1.07965i −0.996540 0.0831121i \(-0.973514\pi\)
−0.0831121 0.996540i \(-0.526486\pi\)
\(542\) −9.81899 + 3.89706i −0.421762 + 0.167393i
\(543\) −21.4016 16.1184i −0.918429 0.691707i
\(544\) −6.35379 19.2819i −0.272417 0.826707i
\(545\) 16.9105 29.2898i 0.724366 1.25464i
\(546\) 20.3031 + 5.56853i 0.868894 + 0.238311i
\(547\) 1.42764 5.32802i 0.0610414 0.227810i −0.928666 0.370918i \(-0.879043\pi\)
0.989707 + 0.143108i \(0.0457098\pi\)
\(548\) −0.355484 + 1.18453i −0.0151855 + 0.0506008i
\(549\) −0.323163 17.9728i −0.0137923 0.767060i
\(550\) −2.37121 + 1.76407i −0.101109 + 0.0752203i
\(551\) 39.6818 22.9103i 1.69050 0.976013i
\(552\) 1.71961 + 1.84678i 0.0731916 + 0.0786040i
\(553\) −12.4513 7.18876i −0.529483 0.305697i
\(554\) 14.7579 1.71998i 0.627003 0.0730748i
\(555\) −2.37241 + 5.87637i −0.100703 + 0.249438i
\(556\) 32.5162 + 20.0861i 1.37899 + 0.851842i
\(557\) −15.4160 15.4160i −0.653197 0.653197i 0.300565 0.953761i \(-0.402825\pi\)
−0.953761 + 0.300565i \(0.902825\pi\)
\(558\) −4.59270 34.0681i −0.194425 1.44222i
\(559\) −32.7029 −1.38319
\(560\) 10.9965 9.75989i 0.464688 0.412431i
\(561\) 2.02410 16.5208i 0.0854574 0.697510i
\(562\) 5.84004 7.38089i 0.246347 0.311344i
\(563\) −15.9692 + 4.27894i −0.673022 + 0.180336i −0.579116 0.815245i \(-0.696602\pi\)
−0.0939062 + 0.995581i \(0.529935\pi\)
\(564\) 3.65253 23.8981i 0.153799 1.00629i
\(565\) 1.37327 + 0.367967i 0.0577740 + 0.0154805i
\(566\) −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 −0.692167 0.721737i \(-0.743344\pi\)
0.278959 + 0.960303i \(0.410011\pi\)
\(570\) 34.5283 + 0.203286i 1.44623 + 0.00851471i
\(571\) −3.18813 11.8982i −0.133419 0.497926i 0.866580 0.499037i \(-0.166313\pi\)
−0.999999 + 0.00111115i \(0.999646\pi\)
\(572\) −18.7210 + 17.6388i −0.782762 + 0.737515i
\(573\) −9.12532 + 7.13334i −0.381216 + 0.298000i
\(574\) −11.0803 + 4.39766i −0.462483 + 0.183555i
\(575\) −0.402016 −0.0167652
\(576\) 19.8772 + 13.4498i 0.828215 + 0.560410i
\(577\) 21.7471 0.905342 0.452671 0.891678i \(-0.350471\pi\)
0.452671 + 0.891678i \(0.350471\pi\)
\(578\) 5.41544 2.14933i 0.225253 0.0894004i
\(579\) −1.50481 0.607525i −0.0625380 0.0252479i
\(580\) 19.9654 18.8113i 0.829018 0.781097i
\(581\) 3.83498 + 14.3123i 0.159102 + 0.593775i
\(582\) −10.2872 + 17.5781i −0.426417 + 0.728634i
\(583\) 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
\(587\) −15.2163 4.07718i −0.628042 0.168283i −0.0692610 0.997599i \(-0.522064\pi\)
−0.558781 + 0.829315i \(0.688731\pi\)
\(588\) −12.2569 + 4.78130i −0.505465 + 0.197177i
\(589\) 53.7083 14.3911i 2.21301 0.592975i
\(590\) −12.6327 + 15.9657i −0.520080 + 0.657299i
\(591\) −28.9508 21.8041i −1.19088 0.896899i
\(592\) −4.72937 5.32860i −0.194376 0.219004i
\(593\) 10.1125 0.415270 0.207635 0.978206i \(-0.433423\pi\)
0.207635 + 0.978206i \(0.433423\pi\)
\(594\) 10.0435 + 16.9200i 0.412088 + 0.694234i
\(595\) −9.32807 9.32807i −0.382414 0.382414i
\(596\) 8.92245 + 5.51164i 0.365478 + 0.225766i
\(597\) −4.06446 + 0.572312i −0.166347 + 0.0234232i
\(598\) −3.47529 + 0.405032i −0.142115 + 0.0165630i
\(599\) 4.23917 + 2.44748i 0.173208 + 0.100002i 0.584097 0.811684i \(-0.301449\pi\)
−0.410890 + 0.911685i \(0.634782\pi\)
\(600\) −3.72617 + 0.857372i −0.152120 + 0.0350021i
\(601\) −25.8322 + 14.9142i −1.05372 + 0.608364i −0.923688 0.383146i \(-0.874841\pi\)
−0.130030 + 0.991510i \(0.541507\pi\)
\(602\) −13.8243 + 10.2847i −0.563436 + 0.419171i
\(603\) −4.50263 + 2.70867i −0.183361 + 0.110306i
\(604\) 5.17847 17.2555i 0.210709 0.702117i
\(605\) 2.03647 7.60019i 0.0827941 0.308992i
\(606\) 3.01779 + 11.5337i 0.122589 + 0.468526i
\(607\) −8.48425 + 14.6952i −0.344365 + 0.596458i −0.985238 0.171189i \(-0.945239\pi\)
0.640873 + 0.767647i \(0.278572\pi\)
\(608\) −17.4798 + 34.6614i −0.708900 + 1.40570i
\(609\) 19.0476 8.09112i 0.771846 0.327869i
\(610\) 16.1788 6.42120i 0.655061 0.259987i
\(611\) 23.7025 + 23.7025i 0.958901 + 0.958901i
\(612\) 10.9855 18.5204i 0.444063 0.748641i
\(613\) 30.2781 30.2781i 1.22292 1.22292i 0.256332 0.966589i \(-0.417486\pi\)
0.966589 0.256332i \(-0.0825140\pi\)
\(614\) 14.9775 + 6.46656i 0.604441 + 0.260969i
\(615\) −16.6358 2.03818i −0.670820 0.0821874i
\(616\) −2.36660 + 13.3438i −0.0953531 + 0.537639i
\(617\) −14.9377 8.62428i −0.601368 0.347200i 0.168211 0.985751i \(-0.446201\pi\)
−0.769580 + 0.638551i \(0.779534\pi\)
\(618\) −0.102105 + 17.3425i −0.00410725 + 0.697619i
\(619\) −16.7334 4.48369i −0.672570 0.180215i −0.0936580 0.995604i \(-0.529856\pi\)
−0.578912 + 0.815390i \(0.696523\pi\)
\(620\) 29.3104 15.7789i 1.17713 0.633696i
\(621\) −0.277671 + 2.66205i −0.0111426 + 0.106824i
\(622\) −13.4653 1.97694i −0.539908 0.0792682i
\(623\) −14.7999 25.6341i −0.592945 1.02701i
\(624\) −31.3477 + 11.1658i −1.25491 + 0.446990i
\(625\) −10.2442 + 17.7435i −0.409770 + 0.709742i
\(626\) −22.5483 + 28.4975i −0.901211 + 1.13899i
\(627\) −25.0741 + 19.6006i −1.00136 + 0.782773i
\(628\) −11.9080 + 19.2771i −0.475181 + 0.769241i
\(629\) −4.52012 + 4.52012i −0.180229 + 0.180229i
\(630\) 15.4677 + 1.98757i 0.616249 + 0.0791868i
\(631\) 11.6246i 0.462766i 0.972863 + 0.231383i \(0.0743251\pi\)
−0.972863 + 0.231383i \(0.925675\pi\)
\(632\) 22.6410 1.95808i 0.900612 0.0778884i
\(633\) 1.36559 + 3.21478i 0.0542774 + 0.127776i
\(634\) −2.64507 22.6955i −0.105049 0.901352i
\(635\) 3.03885 + 11.3411i 0.120593 + 0.450059i
\(636\) 25.6272 2.83393i 1.01619 0.112373i
\(637\) 4.72135 17.6203i 0.187067 0.698142i
\(638\) −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 \(0.871689\pi\)
\(642\) −22.3326 6.12514i −0.881396 0.241740i
\(643\) 31.1326 8.34195i 1.22775 0.328974i 0.414046 0.910256i \(-0.364115\pi\)
0.813702 + 0.581282i \(0.197449\pi\)
\(644\) −1.34171 + 1.26415i −0.0528708 + 0.0498146i
\(645\) −23.9880 + 3.37771i −0.944525 + 0.132997i
\(646\) 31.9766 + 13.8060i 1.25810 + 0.543189i
\(647\) 13.1882i 0.518482i −0.965813 0.259241i \(-0.916528\pi\)
0.965813 0.259241i \(-0.0834724\pi\)
\(648\) 3.10364 + 25.2659i 0.121923 + 0.992540i
\(649\) 18.7653i 0.736604i
\(650\) 2.10143 4.86720i 0.0824247 0.190907i
\(651\) 24.8677 3.50158i 0.974641 0.137238i
\(652\) −33.6639 1.00192i −1.31838 0.0392382i
\(653\) −15.2661 + 4.09053i −0.597407 + 0.160075i −0.544836 0.838542i \(-0.683408\pi\)
−0.0525710 + 0.998617i \(0.516742\pi\)
\(654\) −10.6674 + 38.8938i −0.417128 + 1.52087i
\(655\) −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
\(659\) −9.26579 + 34.5804i −0.360944 + 1.34706i 0.511893 + 0.859049i \(0.328944\pi\)
−0.872837 + 0.488012i \(0.837722\pi\)
\(660\) −11.9102 + 14.8719i −0.463605 + 0.578886i
\(661\) 6.58569 + 24.5781i 0.256153 + 0.955978i 0.967445 + 0.253081i \(0.0814439\pi\)
−0.711292 + 0.702897i \(0.751889\pi\)
\(662\) 28.5166 3.32350i 1.10833 0.129172i
\(663\) 11.6732 + 27.4802i 0.453349 + 1.06724i
\(664\) −17.9261 15.0723i −0.695669 0.584919i
\(665\) 25.2244i 0.978162i
\(666\) 0.963123 7.49523i 0.0373202 0.290434i
\(667\) −2.43195 + 2.43195i −0.0941656 + 0.0941656i
\(668\) −18.4165 + 4.35185i −0.712554 + 0.168378i
\(669\) −15.1472 + 11.8407i −0.585625 + 0.457788i
\(670\) −3.99021 3.15720i −0.154155 0.121973i
\(671\) −8.02196 + 13.8944i −0.309684 + 0.536389i
\(672\) −9.73988 + 14.5785i −0.375724 + 0.562378i
\(673\) −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
\(675\) −3.28282 2.38116i −0.126356 0.0916509i
\(676\) 5.78894 19.2897i 0.222652 0.741912i
\(677\) 35.5422 + 9.52351i 1.36600 + 0.366018i 0.866015 0.500017i \(-0.166673\pi\)
0.499983 + 0.866035i \(0.333340\pi\)
\(678\) −1.69531 0.00998117i −0.0651080 0.000383325i
\(679\) −12.8854 7.43937i −0.494495 0.285497i
\(680\) 20.5311 + 3.64130i 0.787331 + 0.139637i
\(681\) 29.8764 + 3.66039i 1.14487 + 0.140267i
\(682\) −12.1619 + 28.1687i −0.465703 + 1.07863i
\(683\) −0.339146 + 0.339146i −0.0129771 + 0.0129771i −0.713566 0.700588i \(-0.752921\pi\)
0.700588 + 0.713566i \(0.252921\pi\)
\(684\) −39.8941 + 10.1877i −1.52539 + 0.389535i
\(685\) −0.898173 0.898173i −0.0343174 0.0343174i
\(686\) −10.0804 25.3984i −0.384870 0.969715i
\(687\) 25.5277 10.8438i 0.973941 0.413715i
\(688\) 8.60093 25.8410i 0.327907 0.985180i
\(689\) −17.8749 + 30.9602i −0.680978 + 1.17949i
\(690\) −2.50733 + 0.656041i −0.0954525 + 0.0249751i
\(691\) −4.63964 + 17.3154i −0.176500 + 0.658707i 0.819791 + 0.572663i \(0.194089\pi\)
−0.996291 + 0.0860448i \(0.972577\pi\)
\(692\) 22.6830 + 42.1353i 0.862279 + 1.60174i
\(693\) −12.3172 + 7.40971i −0.467890 + 0.281472i
\(694\) 7.13356 + 9.58869i 0.270786 + 0.363982i
\(695\) −33.9955 + 19.6273i −1.28952 + 0.744506i
\(696\) −17.3545 + 27.7276i −0.657820 + 1.05101i
\(697\) −14.6412 8.45311i −0.554576 0.320184i
\(698\) 0.255444 + 2.19178i 0.00966871 + 0.0829602i
\(699\) 43.2284 6.08693i 1.63505 0.230229i
\(700\) −0.642353 2.71835i −0.0242787 0.102744i
\(701\) −14.5424 14.5424i −0.549258 0.549258i 0.376968 0.926226i \(-0.376967\pi\)
−0.926226 + 0.376968i \(0.876967\pi\)
\(702\) −30.7779 17.2769i −1.16164 0.652073i
\(703\) 12.2231 0.461001
\(704\) −9.01409 19.4319i −0.339731 0.732366i
\(705\) 19.8342 + 14.9380i 0.746998 + 0.562596i
\(706\) 18.0428 + 14.2761i 0.679048 + 0.537289i
\(707\) −8.41264 + 2.25416i −0.316390 + 0.0847764i
\(708\) 9.75422 22.2316i 0.366586 0.835514i
\(709\) 32.2924 + 8.65273i 1.21277 + 0.324960i 0.807847 0.589392i \(-0.200633\pi\)
0.404920 + 0.914352i \(0.367299\pi\)
\(710\) 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
\(714\) 13.5767 + 7.94547i 0.508096 + 0.297352i
\(715\) −6.83748 25.5178i −0.255707 0.954313i
\(716\) 32.8897 + 0.978877i 1.22914 + 0.0365824i
\(717\) 13.3012 + 5.36999i 0.496744 + 0.200546i
\(718\) −1.60761 4.05051i −0.0599954 0.151164i
\(719\) 38.7103 1.44365 0.721826 0.692075i \(-0.243303\pi\)
0.721826 + 0.692075i \(0.243303\pi\)
\(720\) −21.8406 + 11.4280i −0.813952 + 0.425896i
\(721\) −12.6695 −0.471837
\(722\) −14.6558 36.9265i −0.545431 1.37426i
\(723\) 17.4678 13.6548i 0.649636 0.507826i
\(724\) −0.920358 + 30.9234i −0.0342048 + 1.14926i
\(725\) −1.34878 5.03373i −0.0500925 0.186948i
\(726\) −0.0552395 + 9.38247i −0.00205013 + 0.348216i
\(727\) 24.4245 14.1015i 0.905853 0.522994i 0.0267585 0.999642i \(-0.491481\pi\)
0.879095 + 0.476647i \(0.158148\pi\)
\(728\) −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
\(731\) −23.6031 6.32442i −0.872990 0.233917i
\(732\) −16.7261 + 12.2911i −0.618213 + 0.454294i
\(733\) −7.28085 + 1.95090i −0.268924 + 0.0720580i −0.390761 0.920492i \(-0.627788\pi\)
0.121837 + 0.992550i \(0.461122\pi\)
\(734\) 3.06608 + 2.42600i 0.113171 + 0.0895453i
\(735\) 1.64325 13.4123i 0.0606123 0.494722i
\(736\) 0.593963 2.85261i 0.0218938 0.105149i
\(737\) 4.68989 0.172754
\(738\) 19.8067 2.67013i 0.729094 0.0982888i
\(739\) −16.1043 16.1043i −0.592407 0.592407i 0.345874 0.938281i \(-0.387583\pi\)
−0.938281 + 0.345874i \(0.887583\pi\)
\(740\) 7.12144 1.68281i 0.261789 0.0618614i
\(741\) 21.3723 52.9383i 0.785130 1.94474i
\(742\) 2.18046 + 18.7090i 0.0800474 + 0.686829i
\(743\) −5.50307 3.17720i −0.201888 0.116560i 0.395648 0.918402i \(-0.370520\pi\)
−0.597536 + 0.801842i \(0.703853\pi\)
\(744\) −29.0505 + 27.0501i −1.06504 + 0.991706i
\(745\) −9.32837 + 5.38574i −0.341765 + 0.197318i
\(746\) −19.7680 26.5715i −0.723759 0.972851i
\(747\) −0.446590 24.8372i −0.0163399 0.908746i
\(748\) −16.9229 + 9.11021i −0.618761 + 0.333102i
\(749\) 4.37848 16.3407i 0.159986 0.597077i
\(750\) 7.69306 28.0493i 0.280911 1.02421i
\(751\) 7.20371 12.4772i 0.262867 0.455299i −0.704136 0.710066i \(-0.748665\pi\)
0.967003 + 0.254767i \(0.0819986\pi\)
\(752\) −24.9629 + 12.4953i −0.910305 + 0.455658i
\(753\) −27.2783 20.5445i −0.994077 0.748682i
\(754\) −16.7313 42.1559i −0.609317 1.53523i
\(755\) 13.0840 + 13.0840i 0.476176 + 0.476176i
\(756\) −18.4439 + 2.37594i −0.670798 + 0.0864121i
\(757\) −29.7018 + 29.7018i −1.07953 + 1.07953i −0.0829799 + 0.996551i \(0.526444\pi\)
−0.996551 + 0.0829799i \(0.973556\pi\)
\(758\) −3.73038 + 8.64010i −0.135494 + 0.313823i
\(759\) 1.43715 1.90821i 0.0521653 0.0692635i
\(760\) −22.8362 32.6828i −0.828356 1.18553i
\(761\) 21.6542 + 12.5021i 0.784965 + 0.453200i 0.838187 0.545383i \(-0.183616\pi\)
−0.0532222 + 0.998583i \(0.516949\pi\)
\(762\) −6.92896 12.1662i −0.251010 0.440734i
\(763\) −28.4586 7.62545i −1.03027 0.276060i
\(764\) 12.8100 + 3.84434i 0.463449 + 0.139083i
\(765\) 11.4007 + 18.9514i 0.412194 + 0.685190i
\(766\) −7.53153 + 51.2984i −0.272125 + 1.85349i
\(767\) 16.8307 + 29.1516i 0.607721 + 1.05260i
\(768\) −0.578446 27.7068i −0.0208729 0.999782i
\(769\) −26.1481 + 45.2899i −0.942926 + 1.63320i −0.183076 + 0.983099i \(0.558605\pi\)
−0.759851 + 0.650097i \(0.774728\pi\)
\(770\) −10.9154 8.63668i −0.393364 0.311244i
\(771\) −11.2891 4.55764i −0.406567 0.164140i
\(772\) 0.430933 + 1.82365i 0.0155096 + 0.0656346i