Properties

Label 966.2.s.a.727.9
Level $966$
Weight $2$
Character 966.727
Analytic conductor $7.714$
Analytic rank $0$
Dimension $160$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 966 = 2 \cdot 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 966.s (of order \(22\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(7.71354883526\)
Analytic rank: \(0\)
Dimension: \(160\)
Relative dimension: \(16\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 727.9
Character \(\chi\) \(=\) 966.727
Dual form 966.2.s.a.97.9

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.959493 + 0.281733i) q^{2} +(0.755750 - 0.654861i) q^{3} +(0.841254 - 0.540641i) q^{4} +(-0.486537 - 3.38394i) q^{5} +(-0.540641 + 0.841254i) q^{6} +(0.277936 + 2.63111i) q^{7} +(-0.654861 + 0.755750i) q^{8} +(0.142315 - 0.989821i) q^{9} +O(q^{10})\) \(q+(-0.959493 + 0.281733i) q^{2} +(0.755750 - 0.654861i) q^{3} +(0.841254 - 0.540641i) q^{4} +(-0.486537 - 3.38394i) q^{5} +(-0.540641 + 0.841254i) q^{6} +(0.277936 + 2.63111i) q^{7} +(-0.654861 + 0.755750i) q^{8} +(0.142315 - 0.989821i) q^{9} +(1.42020 + 3.10979i) q^{10} +(-1.18221 + 4.02625i) q^{11} +(0.281733 - 0.959493i) q^{12} +(-5.10604 + 2.33185i) q^{13} +(-1.00795 - 2.44623i) q^{14} +(-2.58371 - 2.23880i) q^{15} +(0.415415 - 0.909632i) q^{16} +(-4.84822 - 3.11576i) q^{17} +(0.142315 + 0.989821i) q^{18} +(-2.05496 + 1.32064i) q^{19} +(-2.23880 - 2.58371i) q^{20} +(1.93306 + 1.80645i) q^{21} -4.19622i q^{22} +(1.32147 - 4.61018i) q^{23} +1.00000i q^{24} +(-6.41687 + 1.88416i) q^{25} +(4.24225 - 3.67593i) q^{26} +(-0.540641 - 0.841254i) q^{27} +(1.65630 + 2.06317i) q^{28} +(-2.02436 - 1.30098i) q^{29} +(3.10979 + 1.42020i) q^{30} +(-3.22425 - 2.79383i) q^{31} +(-0.142315 + 0.989821i) q^{32} +(1.74317 + 3.81702i) q^{33} +(5.52964 + 1.62365i) q^{34} +(8.76830 - 2.22065i) q^{35} +(-0.415415 - 0.909632i) q^{36} +(6.12410 + 0.880512i) q^{37} +(1.59965 - 1.84609i) q^{38} +(-2.33185 + 5.10604i) q^{39} +(2.87603 + 1.84831i) q^{40} +(-5.88440 + 0.846049i) q^{41} +(-2.36370 - 1.18867i) q^{42} +(-8.91476 + 7.72469i) q^{43} +(1.18221 + 4.02625i) q^{44} -3.41874 q^{45} +(0.0309001 + 4.79573i) q^{46} +13.0620i q^{47} +(-0.281733 - 0.959493i) q^{48} +(-6.84550 + 1.46256i) q^{49} +(5.62611 - 3.61568i) q^{50} +(-5.70442 + 0.820172i) q^{51} +(-3.03478 + 4.72221i) q^{52} +(-7.56384 - 3.45429i) q^{53} +(0.755750 + 0.654861i) q^{54} +(14.1998 + 2.04162i) q^{55} +(-2.17047 - 1.51296i) q^{56} +(-0.688197 + 2.34378i) q^{57} +(2.30889 + 0.677951i) q^{58} +(11.9487 - 5.45679i) q^{59} +(-3.38394 - 0.486537i) q^{60} +(1.76314 - 2.03477i) q^{61} +(3.88076 + 1.77228i) q^{62} +(2.64389 + 0.0993397i) q^{63} +(-0.142315 - 0.989821i) q^{64} +(10.3751 + 16.1440i) q^{65} +(-2.74794 - 3.17130i) q^{66} +(2.40633 + 8.19519i) q^{67} -5.76308 q^{68} +(-2.02033 - 4.34951i) q^{69} +(-7.78749 + 4.60101i) q^{70} +(4.91437 - 1.44299i) q^{71} +(0.654861 + 0.755750i) q^{72} +(-6.49806 - 10.1112i) q^{73} +(-6.12410 + 0.880512i) q^{74} +(-3.61568 + 5.62611i) q^{75} +(-1.01475 + 2.22199i) q^{76} +(-10.9221 - 1.99150i) q^{77} +(0.798856 - 5.55616i) q^{78} +(-5.00149 + 2.28410i) q^{79} +(-3.28025 - 0.963170i) q^{80} +(-0.959493 - 0.281733i) q^{81} +(5.40768 - 2.46961i) q^{82} +(1.67622 - 11.6584i) q^{83} +(2.60284 + 0.474593i) q^{84} +(-8.18470 + 17.9220i) q^{85} +(6.37736 - 9.92336i) q^{86} +(-2.38187 + 0.342461i) q^{87} +(-2.26865 - 3.53009i) q^{88} +(-1.92781 - 2.22482i) q^{89} +(3.28025 - 0.963170i) q^{90} +(-7.55450 - 12.7864i) q^{91} +(-1.38076 - 4.59277i) q^{92} -4.26630 q^{93} +(-3.68000 - 12.5329i) q^{94} +(5.46878 + 6.31131i) q^{95} +(0.540641 + 0.841254i) q^{96} +(0.0367847 + 0.255843i) q^{97} +(6.15616 - 3.33192i) q^{98} +(3.81702 + 1.74317i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 160q - 16q^{2} - 16q^{4} - 16q^{8} + 16q^{9} + O(q^{10}) \) \( 160q - 16q^{2} - 16q^{4} - 16q^{8} + 16q^{9} - 22q^{14} - 16q^{16} + 16q^{18} - 36q^{23} + 96q^{25} + 22q^{28} - 20q^{29} - 16q^{32} - 50q^{35} + 16q^{36} + 22q^{37} + 4q^{39} - 110q^{43} + 8q^{46} - 36q^{50} + 22q^{51} - 88q^{53} + 22q^{57} + 24q^{58} - 16q^{64} - 72q^{70} + 48q^{71} + 16q^{72} - 22q^{74} + 24q^{77} + 4q^{78} + 88q^{79} - 16q^{81} + 22q^{84} + 76q^{85} + 44q^{86} - 44q^{88} + 8q^{92} - 14q^{95} + 22q^{98} - 22q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/966\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(829\) \(925\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{21}{22}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.959493 + 0.281733i −0.678464 + 0.199215i
\(3\) 0.755750 0.654861i 0.436332 0.378084i
\(4\) 0.841254 0.540641i 0.420627 0.270320i
\(5\) −0.486537 3.38394i −0.217586 1.51334i −0.746911 0.664925i \(-0.768464\pi\)
0.529325 0.848419i \(-0.322445\pi\)
\(6\) −0.540641 + 0.841254i −0.220716 + 0.343440i
\(7\) 0.277936 + 2.63111i 0.105050 + 0.994467i
\(8\) −0.654861 + 0.755750i −0.231528 + 0.267198i
\(9\) 0.142315 0.989821i 0.0474383 0.329940i
\(10\) 1.42020 + 3.10979i 0.449105 + 0.983403i
\(11\) −1.18221 + 4.02625i −0.356451 + 1.21396i 0.564878 + 0.825175i \(0.308923\pi\)
−0.921329 + 0.388785i \(0.872895\pi\)
\(12\) 0.281733 0.959493i 0.0813292 0.276982i
\(13\) −5.10604 + 2.33185i −1.41616 + 0.646738i −0.968852 0.247642i \(-0.920344\pi\)
−0.447308 + 0.894380i \(0.647617\pi\)
\(14\) −1.00795 2.44623i −0.269385 0.653783i
\(15\) −2.58371 2.23880i −0.667111 0.578055i
\(16\) 0.415415 0.909632i 0.103854 0.227408i
\(17\) −4.84822 3.11576i −1.17586 0.755682i −0.201243 0.979541i \(-0.564498\pi\)
−0.974622 + 0.223859i \(0.928135\pi\)
\(18\) 0.142315 + 0.989821i 0.0335439 + 0.233303i
\(19\) −2.05496 + 1.32064i −0.471439 + 0.302976i −0.754703 0.656066i \(-0.772219\pi\)
0.283264 + 0.959042i \(0.408583\pi\)
\(20\) −2.23880 2.58371i −0.500610 0.577735i
\(21\) 1.93306 + 1.80645i 0.421829 + 0.394200i
\(22\) 4.19622i 0.894638i
\(23\) 1.32147 4.61018i 0.275545 0.961288i
\(24\) 1.00000i 0.204124i
\(25\) −6.41687 + 1.88416i −1.28337 + 0.376832i
\(26\) 4.24225 3.67593i 0.831973 0.720909i
\(27\) −0.540641 0.841254i −0.104046 0.161899i
\(28\) 1.65630 + 2.06317i 0.313011 + 0.389902i
\(29\) −2.02436 1.30098i −0.375915 0.241586i 0.339017 0.940780i \(-0.389906\pi\)
−0.714931 + 0.699195i \(0.753542\pi\)
\(30\) 3.10979 + 1.42020i 0.567768 + 0.259291i
\(31\) −3.22425 2.79383i −0.579093 0.501787i 0.315346 0.948977i \(-0.397879\pi\)
−0.894439 + 0.447190i \(0.852425\pi\)
\(32\) −0.142315 + 0.989821i −0.0251579 + 0.174977i
\(33\) 1.74317 + 3.81702i 0.303448 + 0.664458i
\(34\) 5.52964 + 1.62365i 0.948325 + 0.278453i
\(35\) 8.76830 2.22065i 1.48211 0.375359i
\(36\) −0.415415 0.909632i −0.0692358 0.151605i
\(37\) 6.12410 + 0.880512i 1.00680 + 0.144755i 0.625933 0.779877i \(-0.284718\pi\)
0.380862 + 0.924632i \(0.375627\pi\)
\(38\) 1.59965 1.84609i 0.259497 0.299476i
\(39\) −2.33185 + 5.10604i −0.373395 + 0.817620i
\(40\) 2.87603 + 1.84831i 0.454740 + 0.292243i
\(41\) −5.88440 + 0.846049i −0.918989 + 0.132131i −0.585546 0.810640i \(-0.699120\pi\)
−0.333443 + 0.942770i \(0.608211\pi\)
\(42\) −2.36370 1.18867i −0.364726 0.183416i
\(43\) −8.91476 + 7.72469i −1.35949 + 1.17800i −0.393529 + 0.919312i \(0.628746\pi\)
−0.965960 + 0.258692i \(0.916709\pi\)
\(44\) 1.18221 + 4.02625i 0.178225 + 0.606980i
\(45\) −3.41874 −0.509635
\(46\) 0.0309001 + 4.79573i 0.00455597 + 0.707092i
\(47\) 13.0620i 1.90529i 0.304080 + 0.952646i \(0.401651\pi\)
−0.304080 + 0.952646i \(0.598349\pi\)
\(48\) −0.281733 0.959493i −0.0406646 0.138491i
\(49\) −6.84550 + 1.46256i −0.977929 + 0.208937i
\(50\) 5.62611 3.61568i 0.795652 0.511334i
\(51\) −5.70442 + 0.820172i −0.798779 + 0.114847i
\(52\) −3.03478 + 4.72221i −0.420848 + 0.654852i
\(53\) −7.56384 3.45429i −1.03897 0.474484i −0.178480 0.983944i \(-0.557118\pi\)
−0.860494 + 0.509460i \(0.829845\pi\)
\(54\) 0.755750 + 0.654861i 0.102844 + 0.0891153i
\(55\) 14.1998 + 2.04162i 1.91470 + 0.275292i
\(56\) −2.17047 1.51296i −0.290041 0.202178i
\(57\) −0.688197 + 2.34378i −0.0911539 + 0.310442i
\(58\) 2.30889 + 0.677951i 0.303172 + 0.0890194i
\(59\) 11.9487 5.45679i 1.55559 0.710414i 0.562393 0.826870i \(-0.309881\pi\)
0.993196 + 0.116456i \(0.0371535\pi\)
\(60\) −3.38394 0.486537i −0.436865 0.0628117i
\(61\) 1.76314 2.03477i 0.225746 0.260525i −0.631566 0.775322i \(-0.717587\pi\)
0.857312 + 0.514797i \(0.172133\pi\)
\(62\) 3.88076 + 1.77228i 0.492857 + 0.225080i
\(63\) 2.64389 + 0.0993397i 0.333098 + 0.0125156i
\(64\) −0.142315 0.989821i −0.0177894 0.123728i
\(65\) 10.3751 + 16.1440i 1.28687 + 2.00241i
\(66\) −2.74794 3.17130i −0.338248 0.390359i
\(67\) 2.40633 + 8.19519i 0.293979 + 1.00120i 0.965541 + 0.260253i \(0.0838059\pi\)
−0.671561 + 0.740949i \(0.734376\pi\)
\(68\) −5.76308 −0.698877
\(69\) −2.02033 4.34951i −0.243219 0.523620i
\(70\) −7.78749 + 4.60101i −0.930783 + 0.549926i
\(71\) 4.91437 1.44299i 0.583228 0.171251i 0.0232087 0.999731i \(-0.492612\pi\)
0.560020 + 0.828479i \(0.310794\pi\)
\(72\) 0.654861 + 0.755750i 0.0771761 + 0.0890659i
\(73\) −6.49806 10.1112i −0.760540 1.18342i −0.978254 0.207411i \(-0.933496\pi\)
0.217714 0.976013i \(-0.430140\pi\)
\(74\) −6.12410 + 0.880512i −0.711912 + 0.102357i
\(75\) −3.61568 + 5.62611i −0.417503 + 0.649647i
\(76\) −1.01475 + 2.22199i −0.116399 + 0.254879i
\(77\) −10.9221 1.99150i −1.24469 0.226952i
\(78\) 0.798856 5.55616i 0.0904526 0.629112i
\(79\) −5.00149 + 2.28410i −0.562711 + 0.256982i −0.676400 0.736535i \(-0.736461\pi\)
0.113688 + 0.993516i \(0.463733\pi\)
\(80\) −3.28025 0.963170i −0.366744 0.107686i
\(81\) −0.959493 0.281733i −0.106610 0.0313036i
\(82\) 5.40768 2.46961i 0.597178 0.272722i
\(83\) 1.67622 11.6584i 0.183989 1.27967i −0.663224 0.748421i \(-0.730812\pi\)
0.847213 0.531253i \(-0.178279\pi\)
\(84\) 2.60284 + 0.474593i 0.283993 + 0.0517823i
\(85\) −8.18470 + 17.9220i −0.887756 + 1.94391i
\(86\) 6.37736 9.92336i 0.687688 1.07006i
\(87\) −2.38187 + 0.342461i −0.255363 + 0.0367157i
\(88\) −2.26865 3.53009i −0.241839 0.376309i
\(89\) −1.92781 2.22482i −0.204348 0.235830i 0.644320 0.764756i \(-0.277140\pi\)
−0.848668 + 0.528926i \(0.822595\pi\)
\(90\) 3.28025 0.963170i 0.345769 0.101527i
\(91\) −7.55450 12.7864i −0.791927 1.34038i
\(92\) −1.38076 4.59277i −0.143954 0.478829i
\(93\) −4.26630 −0.442394
\(94\) −3.68000 12.5329i −0.379563 1.29267i
\(95\) 5.46878 + 6.31131i 0.561085 + 0.647526i
\(96\) 0.540641 + 0.841254i 0.0551789 + 0.0858601i
\(97\) 0.0367847 + 0.255843i 0.00373492 + 0.0259770i 0.991604 0.129314i \(-0.0412775\pi\)
−0.987869 + 0.155291i \(0.950368\pi\)
\(98\) 6.15616 3.33192i 0.621866 0.336574i
\(99\) 3.81702 + 1.74317i 0.383625 + 0.175196i
\(100\) −4.37956 + 5.05428i −0.437956 + 0.505428i
\(101\) 4.93319 + 0.709286i 0.490871 + 0.0705766i 0.383306 0.923621i \(-0.374786\pi\)
0.107565 + 0.994198i \(0.465695\pi\)
\(102\) 5.24229 2.39407i 0.519064 0.237048i
\(103\) 9.38679 + 2.75621i 0.924908 + 0.271577i 0.709303 0.704903i \(-0.249010\pi\)
0.215604 + 0.976481i \(0.430828\pi\)
\(104\) 1.58145 5.38592i 0.155074 0.528133i
\(105\) 5.17242 7.42027i 0.504777 0.724144i
\(106\) 8.23064 + 1.18339i 0.799431 + 0.114941i
\(107\) −0.416049 0.360508i −0.0402209 0.0348516i 0.634518 0.772908i \(-0.281198\pi\)
−0.674739 + 0.738056i \(0.735744\pi\)
\(108\) −0.909632 0.415415i −0.0875294 0.0399733i
\(109\) 1.75688 2.73376i 0.168279 0.261847i −0.746864 0.664977i \(-0.768441\pi\)
0.915143 + 0.403130i \(0.132078\pi\)
\(110\) −14.1998 + 2.04162i −1.35390 + 0.194661i
\(111\) 5.20490 3.34498i 0.494027 0.317492i
\(112\) 2.50880 + 0.840184i 0.237060 + 0.0793900i
\(113\) −0.773756 2.63517i −0.0727888 0.247896i 0.915059 0.403320i \(-0.132144\pi\)
−0.987848 + 0.155424i \(0.950326\pi\)
\(114\) 2.44273i 0.228783i
\(115\) −16.2435 2.22874i −1.51471 0.207831i
\(116\) −2.40637 −0.223425
\(117\) 1.58145 + 5.38592i 0.146205 + 0.497928i
\(118\) −9.92734 + 8.60209i −0.913886 + 0.791887i
\(119\) 6.85042 13.6222i 0.627977 1.24874i
\(120\) 3.38394 0.486537i 0.308910 0.0444146i
\(121\) −5.55926 3.57272i −0.505387 0.324793i
\(122\) −1.11846 + 2.44908i −0.101260 + 0.221729i
\(123\) −3.89309 + 4.49286i −0.351028 + 0.405108i
\(124\) −4.22287 0.607157i −0.379225 0.0545243i
\(125\) 2.39696 + 5.24861i 0.214391 + 0.469450i
\(126\) −2.56478 + 0.649553i −0.228488 + 0.0578668i
\(127\) −9.85567 2.89388i −0.874549 0.256791i −0.186500 0.982455i \(-0.559714\pi\)
−0.688049 + 0.725664i \(0.741533\pi\)
\(128\) 0.415415 + 0.909632i 0.0367178 + 0.0804009i
\(129\) −1.67874 + 11.6759i −0.147804 + 1.02800i
\(130\) −14.5031 12.5670i −1.27201 1.10220i
\(131\) −2.41379 1.10234i −0.210894 0.0963121i 0.307167 0.951656i \(-0.400619\pi\)
−0.518061 + 0.855343i \(0.673346\pi\)
\(132\) 3.53009 + 2.26865i 0.307255 + 0.197461i
\(133\) −4.04590 5.03977i −0.350824 0.437003i
\(134\) −4.61770 7.18529i −0.398909 0.620714i
\(135\) −2.58371 + 2.23880i −0.222370 + 0.192685i
\(136\) 5.52964 1.62365i 0.474163 0.139227i
\(137\) 9.20582i 0.786507i 0.919430 + 0.393253i \(0.128650\pi\)
−0.919430 + 0.393253i \(0.871350\pi\)
\(138\) 3.16389 + 3.60414i 0.269328 + 0.306805i
\(139\) 8.78081i 0.744779i 0.928077 + 0.372389i \(0.121461\pi\)
−0.928077 + 0.372389i \(0.878539\pi\)
\(140\) 6.17579 6.60863i 0.521949 0.558531i
\(141\) 8.55381 + 9.87162i 0.720361 + 0.831341i
\(142\) −4.30877 + 2.76908i −0.361584 + 0.232376i
\(143\) −3.35218 23.3149i −0.280323 1.94969i
\(144\) −0.841254 0.540641i −0.0701045 0.0450534i
\(145\) −3.41751 + 7.48330i −0.283809 + 0.621454i
\(146\) 9.08349 + 7.87089i 0.751755 + 0.651399i
\(147\) −4.21571 + 5.58818i −0.347706 + 0.460905i
\(148\) 5.62796 2.57020i 0.462615 0.211269i
\(149\) −3.23160 + 11.0058i −0.264743 + 0.901633i 0.714618 + 0.699515i \(0.246601\pi\)
−0.979361 + 0.202118i \(0.935218\pi\)
\(150\) 1.88416 6.41687i 0.153841 0.523935i
\(151\) −0.980304 2.14657i −0.0797760 0.174685i 0.865541 0.500838i \(-0.166975\pi\)
−0.945317 + 0.326153i \(0.894248\pi\)
\(152\) 0.347637 2.41787i 0.0281971 0.196115i
\(153\) −3.77402 + 4.35545i −0.305111 + 0.352117i
\(154\) 11.0407 1.16628i 0.889688 0.0939815i
\(155\) −7.88544 + 12.2700i −0.633373 + 0.985548i
\(156\) 0.798856 + 5.55616i 0.0639596 + 0.444849i
\(157\) 8.16813 5.24934i 0.651888 0.418943i −0.172468 0.985015i \(-0.555174\pi\)
0.824356 + 0.566072i \(0.191538\pi\)
\(158\) 4.15539 3.60066i 0.330585 0.286453i
\(159\) −7.97845 + 2.34269i −0.632732 + 0.185787i
\(160\) 3.41874 0.270275
\(161\) 12.4972 + 2.19559i 0.984915 + 0.173037i
\(162\) 1.00000 0.0785674
\(163\) −4.89531 + 1.43739i −0.383431 + 0.112585i −0.467767 0.883852i \(-0.654941\pi\)
0.0843361 + 0.996437i \(0.473123\pi\)
\(164\) −4.49286 + 3.89309i −0.350834 + 0.303999i
\(165\) 12.0684 7.75592i 0.939527 0.603798i
\(166\) 1.67622 + 11.6584i 0.130100 + 0.904867i
\(167\) −9.19501 + 14.3077i −0.711531 + 1.10716i 0.277681 + 0.960673i \(0.410434\pi\)
−0.989212 + 0.146491i \(0.953202\pi\)
\(168\) −2.63111 + 0.277936i −0.202995 + 0.0214432i
\(169\) 12.1209 13.9883i 0.932376 1.07602i
\(170\) 2.80395 19.5019i 0.215053 1.49573i
\(171\) 1.01475 + 2.22199i 0.0775996 + 0.169920i
\(172\) −3.32330 + 11.3181i −0.253399 + 0.862998i
\(173\) −4.83190 + 16.4559i −0.367362 + 1.25112i 0.543850 + 0.839183i \(0.316966\pi\)
−0.911212 + 0.411938i \(0.864852\pi\)
\(174\) 2.18891 0.999640i 0.165941 0.0757825i
\(175\) −6.74092 16.3598i −0.509565 1.23669i
\(176\) 3.17130 + 2.74794i 0.239045 + 0.207134i
\(177\) 5.45679 11.9487i 0.410158 0.898120i
\(178\) 2.47653 + 1.59157i 0.185624 + 0.119293i
\(179\) −3.53687 24.5995i −0.264358 1.83865i −0.499038 0.866580i \(-0.666313\pi\)
0.234680 0.972073i \(-0.424596\pi\)
\(180\) −2.87603 + 1.84831i −0.214366 + 0.137765i
\(181\) 6.23930 + 7.20054i 0.463764 + 0.535212i 0.938666 0.344826i \(-0.112062\pi\)
−0.474903 + 0.880038i \(0.657517\pi\)
\(182\) 10.8509 + 10.1402i 0.804319 + 0.751638i
\(183\) 2.69238i 0.199027i
\(184\) 2.61876 + 4.01772i 0.193058 + 0.296190i
\(185\) 21.1520i 1.55512i
\(186\) 4.09348 1.20195i 0.300149 0.0881316i
\(187\) 18.2764 15.8366i 1.33651 1.15809i
\(188\) 7.06187 + 10.9885i 0.515040 + 0.801417i
\(189\) 2.06317 1.65630i 0.150073 0.120478i
\(190\) −7.02536 4.51492i −0.509673 0.327547i
\(191\) −7.84626 3.58327i −0.567735 0.259276i 0.110801 0.993843i \(-0.464658\pi\)
−0.678537 + 0.734566i \(0.737386\pi\)
\(192\) −0.755750 0.654861i −0.0545415 0.0472605i
\(193\) 0.886195 6.16362i 0.0637897 0.443667i −0.932748 0.360528i \(-0.882596\pi\)
0.996538 0.0831390i \(-0.0264945\pi\)
\(194\) −0.107374 0.235116i −0.00770901 0.0168804i
\(195\) 18.4130 + 5.40656i 1.31859 + 0.387172i
\(196\) −4.96808 + 4.93134i −0.354863 + 0.352239i
\(197\) −4.24207 9.28883i −0.302235 0.661802i 0.696193 0.717855i \(-0.254876\pi\)
−0.998428 + 0.0560527i \(0.982149\pi\)
\(198\) −4.15351 0.597185i −0.295177 0.0424401i
\(199\) −9.48167 + 10.9424i −0.672138 + 0.775688i −0.984709 0.174206i \(-0.944264\pi\)
0.312571 + 0.949894i \(0.398810\pi\)
\(200\) 2.77820 6.08341i 0.196448 0.430162i
\(201\) 7.18529 + 4.61770i 0.506811 + 0.325708i
\(202\) −4.93319 + 0.709286i −0.347098 + 0.0499052i
\(203\) 2.86038 5.68792i 0.200759 0.399213i
\(204\) −4.35545 + 3.77402i −0.304942 + 0.264234i
\(205\) 5.72596 + 19.5008i 0.399918 + 1.36200i
\(206\) −9.78307 −0.681619
\(207\) −4.37519 1.96411i −0.304097 0.136515i
\(208\) 5.61330i 0.389212i
\(209\) −2.88783 9.83504i −0.199755 0.680304i
\(210\) −2.87237 + 8.57694i −0.198212 + 0.591865i
\(211\) 12.7949 8.22281i 0.880840 0.566082i −0.0202102 0.999796i \(-0.506434\pi\)
0.901051 + 0.433714i \(0.142797\pi\)
\(212\) −8.23064 + 1.18339i −0.565283 + 0.0812754i
\(213\) 2.76908 4.30877i 0.189734 0.295232i
\(214\) 0.500763 + 0.228691i 0.0342314 + 0.0156330i
\(215\) 30.4772 + 26.4087i 2.07853 + 1.80106i
\(216\) 0.989821 + 0.142315i 0.0673488 + 0.00968330i
\(217\) 6.45475 9.25987i 0.438177 0.628601i
\(218\) −0.915526 + 3.11799i −0.0620072 + 0.211177i
\(219\) −11.5323 3.38619i −0.779282 0.228818i
\(220\) 13.0494 5.95946i 0.879790 0.401787i
\(221\) 32.0206 + 4.60387i 2.15394 + 0.309690i
\(222\) −4.05167 + 4.67588i −0.271930 + 0.313824i
\(223\) −5.75594 2.62865i −0.385446 0.176027i 0.213261 0.976995i \(-0.431591\pi\)
−0.598707 + 0.800968i \(0.704319\pi\)
\(224\) −2.64389 0.0993397i −0.176652 0.00663741i
\(225\) 0.951769 + 6.61970i 0.0634512 + 0.441313i
\(226\) 1.48483 + 2.31044i 0.0987692 + 0.153688i
\(227\) −7.94394 9.16780i −0.527258 0.608488i 0.428175 0.903696i \(-0.359157\pi\)
−0.955433 + 0.295208i \(0.904611\pi\)
\(228\) 0.688197 + 2.34378i 0.0455769 + 0.155221i
\(229\) 4.53323 0.299565 0.149782 0.988719i \(-0.452143\pi\)
0.149782 + 0.988719i \(0.452143\pi\)
\(230\) 16.2134 2.43787i 1.06908 0.160748i
\(231\) −9.55852 + 5.64737i −0.628904 + 0.371570i
\(232\) 2.30889 0.677951i 0.151586 0.0445097i
\(233\) −8.13667 9.39022i −0.533051 0.615174i 0.423799 0.905756i \(-0.360696\pi\)
−0.956850 + 0.290583i \(0.906151\pi\)
\(234\) −3.03478 4.72221i −0.198390 0.308700i
\(235\) 44.2011 6.35516i 2.88336 0.414565i
\(236\) 7.10173 11.0505i 0.462283 0.719327i
\(237\) −2.28410 + 5.00149i −0.148368 + 0.324882i
\(238\) −2.73512 + 15.0004i −0.177291 + 0.972330i
\(239\) 4.28723 29.8183i 0.277318 1.92879i −0.0842582 0.996444i \(-0.526852\pi\)
0.361576 0.932343i \(-0.382239\pi\)
\(240\) −3.10979 + 1.42020i −0.200736 + 0.0916732i
\(241\) 11.3452 + 3.33124i 0.730807 + 0.214584i 0.625906 0.779898i \(-0.284729\pi\)
0.104901 + 0.994483i \(0.466548\pi\)
\(242\) 6.34062 + 1.86177i 0.407590 + 0.119679i
\(243\) −0.909632 + 0.415415i −0.0583529 + 0.0266489i
\(244\) 0.383166 2.66498i 0.0245297 0.170608i
\(245\) 8.27981 + 22.4532i 0.528977 + 1.43448i
\(246\) 2.46961 5.40768i 0.157456 0.344781i
\(247\) 7.41315 11.5351i 0.471687 0.733960i
\(248\) 4.22287 0.607157i 0.268153 0.0385545i
\(249\) −6.36782 9.90852i −0.403544 0.627927i
\(250\) −3.77857 4.36070i −0.238978 0.275795i
\(251\) 3.80959 1.11860i 0.240459 0.0706052i −0.159282 0.987233i \(-0.550918\pi\)
0.399742 + 0.916628i \(0.369100\pi\)
\(252\) 2.27789 1.34582i 0.143493 0.0847789i
\(253\) 16.9995 + 10.7708i 1.06875 + 0.677152i
\(254\) 10.2717 0.644507
\(255\) 5.55083 + 18.9044i 0.347606 + 1.18384i
\(256\) −0.654861 0.755750i −0.0409288 0.0472343i
\(257\) −11.4909 17.8801i −0.716781 1.11533i −0.988244 0.152884i \(-0.951144\pi\)
0.271463 0.962449i \(-0.412492\pi\)
\(258\) −1.67874 11.6759i −0.104513 0.726907i
\(259\) −0.614622 + 16.3579i −0.0381908 + 1.01643i
\(260\) 17.4562 + 7.97198i 1.08259 + 0.494401i
\(261\) −1.57583 + 1.81861i −0.0975417 + 0.112569i
\(262\) 2.62658 + 0.377646i 0.162271 + 0.0233310i
\(263\) −26.4581 + 12.0830i −1.63147 + 0.745069i −0.999551 0.0299615i \(-0.990462\pi\)
−0.631923 + 0.775031i \(0.717734\pi\)
\(264\) −4.02625 1.18221i −0.247798 0.0727602i
\(265\) −8.00903 + 27.2762i −0.491991 + 1.67557i
\(266\) 5.30188 + 3.69576i 0.325079 + 0.226602i
\(267\) −2.91389 0.418954i −0.178327 0.0256396i
\(268\) 6.45498 + 5.59328i 0.394301 + 0.341664i
\(269\) −13.8557 6.32766i −0.844794 0.385804i −0.0544862 0.998515i \(-0.517352\pi\)
−0.790308 + 0.612710i \(0.790079\pi\)
\(270\) 1.84831 2.87603i 0.112485 0.175029i
\(271\) 14.5629 2.09382i 0.884630 0.127191i 0.315000 0.949092i \(-0.397995\pi\)
0.569630 + 0.821901i \(0.307086\pi\)
\(272\) −4.84822 + 3.11576i −0.293966 + 0.188921i
\(273\) −14.0827 4.71621i −0.852321 0.285438i
\(274\) −2.59358 8.83292i −0.156684 0.533616i
\(275\) 28.0634i 1.69229i
\(276\) −4.05113 2.56677i −0.243850 0.154502i
\(277\) 28.6678 1.72248 0.861241 0.508197i \(-0.169688\pi\)
0.861241 + 0.508197i \(0.169688\pi\)
\(278\) −2.47384 8.42513i −0.148371 0.505306i
\(279\) −3.22425 + 2.79383i −0.193031 + 0.167262i
\(280\) −4.06376 + 8.08086i −0.242856 + 0.482924i
\(281\) −6.26913 + 0.901365i −0.373985 + 0.0537710i −0.326745 0.945113i \(-0.605952\pi\)
−0.0472404 + 0.998884i \(0.515043\pi\)
\(282\) −10.9885 7.06187i −0.654354 0.420528i
\(283\) 4.36849 9.56567i 0.259680 0.568620i −0.734219 0.678912i \(-0.762452\pi\)
0.993899 + 0.110293i \(0.0351788\pi\)
\(284\) 3.35409 3.87083i 0.199029 0.229691i
\(285\) 8.26605 + 1.18848i 0.489639 + 0.0703994i
\(286\) 9.78496 + 21.4261i 0.578597 + 1.26695i
\(287\) −3.86153 15.2474i −0.227939 0.900024i
\(288\) 0.959493 + 0.281733i 0.0565387 + 0.0166013i
\(289\) 6.73518 + 14.7480i 0.396187 + 0.867529i
\(290\) 1.17079 8.14299i 0.0687509 0.478173i
\(291\) 0.195342 + 0.169265i 0.0114511 + 0.00992247i
\(292\) −10.9330 4.99295i −0.639807 0.292190i
\(293\) 6.65028 + 4.27387i 0.388513 + 0.249682i 0.720286 0.693677i \(-0.244010\pi\)
−0.331773 + 0.943359i \(0.607647\pi\)
\(294\) 2.47058 6.54952i 0.144087 0.381976i
\(295\) −24.2789 37.7788i −1.41357 2.19957i
\(296\) −4.67588 + 4.05167i −0.271780 + 0.235499i
\(297\) 4.02625 1.18221i 0.233627 0.0685990i
\(298\) 11.4705i 0.664466i
\(299\) 4.00278 + 26.6212i 0.231487 + 1.53954i
\(300\) 6.68777i 0.386118i
\(301\) −22.8023 21.3088i −1.31430 1.22822i
\(302\) 1.54535 + 1.78343i 0.0889251 + 0.102625i
\(303\) 4.19274 2.69451i 0.240867 0.154796i
\(304\) 0.347637 + 2.41787i 0.0199383 + 0.138674i
\(305\) −7.74336 4.97635i −0.443383 0.284945i
\(306\) 2.39407 5.24229i 0.136860 0.299682i
\(307\) −10.5436 9.13605i −0.601753 0.521422i 0.299850 0.953986i \(-0.403063\pi\)
−0.901603 + 0.432564i \(0.857609\pi\)
\(308\) −10.2649 + 4.22957i −0.584899 + 0.241002i
\(309\) 8.89899 4.06403i 0.506246 0.231195i
\(310\) 4.10917 13.9945i 0.233385 0.794836i
\(311\) −6.33844 + 21.5868i −0.359420 + 1.22407i 0.559234 + 0.829010i \(0.311095\pi\)
−0.918654 + 0.395063i \(0.870723\pi\)
\(312\) −2.33185 5.10604i −0.132015 0.289072i
\(313\) −0.614941 + 4.27701i −0.0347585 + 0.241751i −0.999792 0.0203742i \(-0.993514\pi\)
0.965034 + 0.262125i \(0.0844233\pi\)
\(314\) −6.35836 + 7.33793i −0.358823 + 0.414104i
\(315\) −0.950189 8.99508i −0.0535371 0.506816i
\(316\) −2.97264 + 4.62552i −0.167224 + 0.260206i
\(317\) 3.83259 + 26.6563i 0.215260 + 1.49717i 0.755218 + 0.655474i \(0.227531\pi\)
−0.539958 + 0.841692i \(0.681560\pi\)
\(318\) 6.99526 4.49558i 0.392275 0.252100i
\(319\) 7.63129 6.61255i 0.427270 0.370232i
\(320\) −3.28025 + 0.963170i −0.183372 + 0.0538428i
\(321\) −0.550511 −0.0307265
\(322\) −12.6095 + 1.41421i −0.702701 + 0.0788106i
\(323\) 14.0777 0.783302
\(324\) −0.959493 + 0.281733i −0.0533052 + 0.0156518i
\(325\) 28.3712 24.5838i 1.57375 1.36366i
\(326\) 4.29206 2.75834i 0.237715 0.152770i
\(327\) −0.462470 3.21655i −0.0255747 0.177876i
\(328\) 3.21406 5.00118i 0.177467 0.276144i
\(329\) −34.3677 + 3.63040i −1.89475 + 0.200151i
\(330\) −9.39450 + 10.8418i −0.517150 + 0.596823i
\(331\) 4.64921 32.3360i 0.255544 1.77735i −0.308127 0.951345i \(-0.599702\pi\)
0.563670 0.826000i \(-0.309389\pi\)
\(332\) −4.89287 10.7139i −0.268531 0.588001i
\(333\) 1.74310 5.93645i 0.0955213 0.325316i
\(334\) 4.79160 16.3187i 0.262185 0.892919i
\(335\) 26.5613 12.1301i 1.45120 0.662740i
\(336\) 2.44623 1.00795i 0.133453 0.0549880i
\(337\) 2.39677 + 2.07682i 0.130561 + 0.113131i 0.717693 0.696359i \(-0.245198\pi\)
−0.587133 + 0.809491i \(0.699743\pi\)
\(338\) −7.68896 + 16.8365i −0.418224 + 0.915784i
\(339\) −2.31044 1.48483i −0.125486 0.0806447i
\(340\) 2.80395 + 19.5019i 0.152066 + 1.05764i
\(341\) 15.0604 9.67874i 0.815567 0.524133i
\(342\) −1.59965 1.84609i −0.0864991 0.0998253i
\(343\) −5.75077 17.6048i −0.310512 0.950569i
\(344\) 11.7959i 0.635994i
\(345\) −13.7355 + 8.95287i −0.739496 + 0.482006i
\(346\) 17.1506i 0.922024i
\(347\) −27.4399 + 8.05707i −1.47305 + 0.432526i −0.917089 0.398683i \(-0.869467\pi\)
−0.555960 + 0.831209i \(0.687649\pi\)
\(348\) −1.81861 + 1.57583i −0.0974877 + 0.0844736i
\(349\) 14.7544 + 22.9584i 0.789787 + 1.22893i 0.969470 + 0.245208i \(0.0788563\pi\)
−0.179683 + 0.983724i \(0.557507\pi\)
\(350\) 11.0770 + 13.7980i 0.592088 + 0.737534i
\(351\) 4.72221 + 3.03478i 0.252053 + 0.161984i
\(352\) −3.81702 1.74317i −0.203448 0.0929115i
\(353\) −23.0775 19.9968i −1.22829 1.06432i −0.995784 0.0917257i \(-0.970762\pi\)
−0.232507 0.972595i \(-0.574693\pi\)
\(354\) −1.86941 + 13.0021i −0.0993582 + 0.691051i
\(355\) −7.27401 15.9279i −0.386064 0.845363i
\(356\) −2.82461 0.829380i −0.149704 0.0439570i
\(357\) −3.74343 14.7810i −0.198123 0.782295i
\(358\) 10.3241 + 22.6066i 0.545645 + 1.19480i
\(359\) 13.6865 + 1.96782i 0.722344 + 0.103857i 0.493674 0.869647i \(-0.335653\pi\)
0.228669 + 0.973504i \(0.426563\pi\)
\(360\) 2.23880 2.58371i 0.117995 0.136173i
\(361\) −5.41413 + 11.8553i −0.284954 + 0.623963i
\(362\) −8.01519 5.15105i −0.421269 0.270733i
\(363\) −6.54104 + 0.940459i −0.343316 + 0.0493613i
\(364\) −13.2681 6.67237i −0.695439 0.349727i
\(365\) −31.0541 + 26.9085i −1.62544 + 1.40845i
\(366\) 0.758532 + 2.58332i 0.0396491 + 0.135032i
\(367\) −23.3513 −1.21893 −0.609463 0.792814i \(-0.708615\pi\)
−0.609463 + 0.792814i \(0.708615\pi\)
\(368\) −3.64461 3.11718i −0.189988 0.162494i
\(369\) 5.94491i 0.309480i
\(370\) 5.95920 + 20.2952i 0.309804 + 1.05510i
\(371\) 6.98637 20.8614i 0.362714 1.08307i
\(372\) −3.58904 + 2.30653i −0.186083 + 0.119588i
\(373\) 32.8566 4.72406i 1.70125 0.244603i 0.777852 0.628448i \(-0.216309\pi\)
0.923397 + 0.383845i \(0.125400\pi\)
\(374\) −13.0744 + 20.3442i −0.676062 + 1.05197i
\(375\) 5.24861 + 2.39696i 0.271037 + 0.123778i
\(376\) −9.87162 8.55381i −0.509090 0.441129i
\(377\) 13.3702 + 1.92234i 0.688598 + 0.0990054i
\(378\) −1.51296 + 2.17047i −0.0778184 + 0.111637i
\(379\) −3.98847 + 13.5835i −0.204874 + 0.697736i 0.791385 + 0.611318i \(0.209360\pi\)
−0.996259 + 0.0864182i \(0.972458\pi\)
\(380\) 8.01278 + 2.35276i 0.411047 + 0.120694i
\(381\) −9.34351 + 4.26704i −0.478682 + 0.218607i
\(382\) 8.53795 + 1.22757i 0.436840 + 0.0628081i
\(383\) −1.80036 + 2.07772i −0.0919939 + 0.106167i −0.799880 0.600160i \(-0.795104\pi\)
0.707886 + 0.706327i \(0.249649\pi\)
\(384\) 0.909632 + 0.415415i 0.0464195 + 0.0211991i
\(385\) −1.42511 + 37.9286i −0.0726302 + 1.93302i
\(386\) 0.886195 + 6.16362i 0.0451062 + 0.313720i
\(387\) 6.37736 + 9.92336i 0.324179 + 0.504433i
\(388\) 0.169265 + 0.195342i 0.00859311 + 0.00991698i
\(389\) 0.413340 + 1.40771i 0.0209572 + 0.0713736i 0.969308 0.245851i \(-0.0790673\pi\)
−0.948350 + 0.317224i \(0.897249\pi\)
\(390\) −19.1904 −0.971743
\(391\) −20.7709 + 18.2338i −1.05043 + 0.922121i
\(392\) 3.37752 6.13126i 0.170591 0.309675i
\(393\) −2.54611 + 0.747604i −0.128434 + 0.0377116i
\(394\) 6.68720 + 7.71744i 0.336896 + 0.388799i
\(395\) 10.1627 + 15.8134i 0.511340 + 0.795660i
\(396\) 4.15351 0.597185i 0.208722 0.0300097i
\(397\) 15.9099 24.7564i 0.798497 1.24249i −0.167995 0.985788i \(-0.553729\pi\)
0.966492 0.256698i \(-0.0826345\pi\)
\(398\) 6.01476 13.1705i 0.301493 0.660177i
\(399\) −6.35803 1.15930i −0.318300 0.0580377i
\(400\) −0.951769 + 6.61970i −0.0475884 + 0.330985i
\(401\) 25.0675 11.4480i 1.25181 0.571684i 0.324470 0.945896i \(-0.394814\pi\)
0.927343 + 0.374212i \(0.122087\pi\)
\(402\) −8.19519 2.40633i −0.408739 0.120017i
\(403\) 22.9779 + 6.74693i 1.14461 + 0.336088i
\(404\) 4.53353 2.07040i 0.225552 0.103006i
\(405\) −0.486537 + 3.38394i −0.0241762 + 0.168149i
\(406\) −1.14204 + 6.26338i −0.0566787 + 0.310846i
\(407\) −10.7852 + 23.6162i −0.534600 + 1.17061i
\(408\) 3.11576 4.84822i 0.154253 0.240022i
\(409\) −20.2142 + 2.90636i −0.999528 + 0.143710i −0.622607 0.782535i \(-0.713926\pi\)
−0.376921 + 0.926245i \(0.623017\pi\)
\(410\) −10.9880 17.0977i −0.542660 0.844396i
\(411\) 6.02853 + 6.95730i 0.297366 + 0.343178i
\(412\) 9.38679 2.75621i 0.462454 0.135789i
\(413\) 17.6784 + 29.9218i 0.869897 + 1.47235i
\(414\) 4.75132 + 0.651918i 0.233514 + 0.0320400i
\(415\) −40.2668 −1.97662
\(416\) −1.58145 5.38592i −0.0775369 0.264066i
\(417\) 5.75021 + 6.63609i 0.281589 + 0.324971i
\(418\) 5.54170 + 8.62306i 0.271054 + 0.421767i
\(419\) 1.01359 + 7.04964i 0.0495169 + 0.344398i 0.999486 + 0.0320541i \(0.0102049\pi\)
−0.949969 + 0.312343i \(0.898886\pi\)
\(420\) 0.339616 9.03875i 0.0165716 0.441046i
\(421\) −14.0594 6.42070i −0.685212 0.312926i 0.0422173 0.999108i \(-0.486558\pi\)
−0.727429 + 0.686183i \(0.759285\pi\)
\(422\) −9.96003 + 11.4945i −0.484847 + 0.559543i
\(423\) 12.9291 + 1.85892i 0.628633 + 0.0903838i
\(424\) 7.56384 3.45429i 0.367333 0.167755i
\(425\) 36.9809 + 10.8586i 1.79384 + 0.526719i
\(426\) −1.44299 + 4.91437i −0.0699130 + 0.238102i
\(427\) 5.84374 + 4.07347i 0.282798 + 0.197129i
\(428\) −0.544908 0.0783459i −0.0263391 0.00378699i
\(429\) −17.8014 15.4250i −0.859461 0.744727i
\(430\) −36.6829 16.7525i −1.76901 0.807878i
\(431\) −7.37331 + 11.4731i −0.355160 + 0.552640i −0.972158 0.234325i \(-0.924712\pi\)
0.616998 + 0.786964i \(0.288348\pi\)
\(432\) −0.989821 + 0.142315i −0.0476228 + 0.00684713i
\(433\) 3.73448 2.40001i 0.179468 0.115337i −0.447822 0.894122i \(-0.647800\pi\)
0.627290 + 0.778786i \(0.284164\pi\)
\(434\) −3.58448 + 10.7033i −0.172060 + 0.513775i
\(435\) 2.31774 + 7.89349i 0.111127 + 0.378464i
\(436\) 3.24963i 0.155629i
\(437\) 3.37283 + 11.2189i 0.161344 + 0.536672i
\(438\) 12.0192 0.574298
\(439\) −8.50185 28.9546i −0.405771 1.38193i −0.868614 0.495489i \(-0.834989\pi\)
0.462843 0.886440i \(-0.346829\pi\)
\(440\) −10.8418 + 9.39450i −0.516864 + 0.447865i
\(441\) 0.473456 + 6.98397i 0.0225455 + 0.332570i
\(442\) −32.0206 + 4.60387i −1.52307 + 0.218984i
\(443\) −0.746061 0.479464i −0.0354464 0.0227800i 0.522798 0.852457i \(-0.324888\pi\)
−0.558244 + 0.829677i \(0.688525\pi\)
\(444\) 2.57020 5.62796i 0.121976 0.267091i
\(445\) −6.59069 + 7.60607i −0.312429 + 0.360562i
\(446\) 6.26336 + 0.900535i 0.296579 + 0.0426416i
\(447\) 4.76500 + 10.4339i 0.225377 + 0.493507i
\(448\) 2.56478 0.649553i 0.121174 0.0306885i
\(449\) 4.24432 + 1.24625i 0.200302 + 0.0588139i 0.380345 0.924845i \(-0.375805\pi\)
−0.180043 + 0.983659i \(0.557624\pi\)
\(450\) −2.77820 6.08341i −0.130966 0.286775i
\(451\) 3.55021 24.6923i 0.167173 1.16271i
\(452\) −2.07561 1.79852i −0.0976283 0.0845954i
\(453\) −2.14657 0.980304i −0.100854 0.0460587i
\(454\) 10.2050 + 6.55837i 0.478945 + 0.307800i
\(455\) −39.5930 + 31.7851i −1.85615 + 1.49011i
\(456\) −1.32064 2.05496i −0.0618446 0.0962321i
\(457\) −26.3690 + 22.8489i −1.23349 + 1.06882i −0.238266 + 0.971200i \(0.576579\pi\)
−0.995223 + 0.0976249i \(0.968875\pi\)
\(458\) −4.34961 + 1.27716i −0.203244 + 0.0596778i
\(459\) 5.76308i 0.268998i
\(460\) −14.8699 + 6.90697i −0.693310 + 0.322039i
\(461\) 2.83378i 0.131982i 0.997820 + 0.0659912i \(0.0210209\pi\)
−0.997820 + 0.0659912i \(0.978979\pi\)
\(462\) 7.58028 8.11156i 0.352667 0.377384i
\(463\) −1.85686 2.14293i −0.0862954 0.0995902i 0.710960 0.703233i \(-0.248261\pi\)
−0.797255 + 0.603643i \(0.793715\pi\)
\(464\) −2.02436 + 1.30098i −0.0939787 + 0.0603964i
\(465\) 2.07571 + 14.4369i 0.0962588 + 0.669495i
\(466\) 10.4526 + 6.71748i 0.484208 + 0.311181i
\(467\) −4.82791 + 10.5716i −0.223409 + 0.489197i −0.987833 0.155516i \(-0.950296\pi\)
0.764424 + 0.644713i \(0.223023\pi\)
\(468\) 4.24225 + 3.67593i 0.196098 + 0.169920i
\(469\) −20.8937 + 8.60905i −0.964780 + 0.397529i
\(470\) −40.6202 + 18.5506i −1.87367 + 0.855677i
\(471\) 2.73548 9.31618i 0.126044 0.429267i
\(472\) −3.70077 + 12.6037i −0.170342 + 0.580131i
\(473\) −20.5624 45.0253i −0.945458 2.07026i
\(474\) 0.782499 5.44240i 0.0359414 0.249978i
\(475\) 10.6981 12.3462i 0.490862 0.566484i
\(476\) −1.60177 15.1633i −0.0734168 0.695010i
\(477\) −4.49558 + 6.99526i −0.205838 + 0.320291i
\(478\) 4.28723 + 29.8183i 0.196093 + 1.36386i
\(479\) 8.56831 5.50652i 0.391496 0.251599i −0.330053 0.943962i \(-0.607067\pi\)
0.721549 + 0.692363i \(0.243430\pi\)
\(480\) 2.58371 2.23880i 0.117930 0.102187i
\(481\) −33.3231 + 9.78454i −1.51940 + 0.446137i
\(482\) −11.8241 −0.538574
\(483\) 10.8825 6.52459i 0.495173 0.296879i
\(484\) −6.60830 −0.300377
\(485\) 0.847861 0.248955i 0.0384994 0.0113044i
\(486\) 0.755750 0.654861i 0.0342815 0.0297051i
\(487\) −30.0034 + 19.2820i −1.35958 + 0.873751i −0.998276 0.0586966i \(-0.981306\pi\)
−0.361306 + 0.932447i \(0.617669\pi\)
\(488\) 0.383166 + 2.66498i 0.0173451 + 0.120638i
\(489\) −2.75834 + 4.29206i −0.124736 + 0.194094i
\(490\) −14.2702 19.2110i −0.644662 0.867864i
\(491\) 19.0466 21.9809i 0.859560 0.991985i −0.140438 0.990089i \(-0.544851\pi\)
0.999998 0.00189570i \(-0.000603422\pi\)
\(492\) −0.846049 + 5.88440i −0.0381428 + 0.265289i
\(493\) 5.76101 + 12.6149i 0.259463 + 0.568144i
\(494\) −3.86305 + 13.1564i −0.173807 + 0.591932i
\(495\) 4.04168 13.7647i 0.181660 0.618677i
\(496\) −3.88076 + 1.77228i −0.174251 + 0.0795779i
\(497\) 5.16254 + 12.5292i 0.231572 + 0.562011i
\(498\) 8.90143 + 7.71313i 0.398882 + 0.345634i
\(499\) 10.9410 23.9575i 0.489786 1.07248i −0.489869 0.871796i \(-0.662955\pi\)
0.979655 0.200687i \(-0.0643173\pi\)
\(500\) 4.85406 + 3.11952i 0.217080 + 0.139509i
\(501\) 2.42044 + 16.8345i 0.108137 + 0.752110i
\(502\) −3.34013 + 2.14657i −0.149077 + 0.0958061i
\(503\) 27.0463 + 31.2131i 1.20594 + 1.39173i 0.897812 + 0.440379i \(0.145156\pi\)
0.308125 + 0.951346i \(0.400299\pi\)
\(504\) −1.80645 + 1.93306i −0.0804658 + 0.0861054i
\(505\) 17.0387i 0.758213i
\(506\) −19.3453 5.54517i −0.860005 0.246513i
\(507\) 18.5091i 0.822018i
\(508\) −9.85567 + 2.89388i −0.437274 + 0.128395i
\(509\) −12.6597 + 10.9697i −0.561130 + 0.486222i −0.888627 0.458630i \(-0.848340\pi\)
0.327497 + 0.944852i \(0.393795\pi\)
\(510\) −10.6520 16.5748i −0.471677 0.733943i
\(511\) 24.7976 19.9074i 1.09698 0.880650i
\(512\) 0.841254 + 0.540641i 0.0371785 + 0.0238932i
\(513\) 2.22199 + 1.01475i 0.0981031 + 0.0448022i
\(514\) 16.0628 + 13.9185i 0.708501 + 0.613919i
\(515\) 4.75983 33.1053i 0.209743 1.45879i
\(516\) 4.90020 + 10.7299i 0.215719 + 0.472360i
\(517\) −52.5910 15.4421i −2.31295 0.679143i
\(518\) −4.01883 15.8685i −0.176577 0.697220i
\(519\) 7.12464 + 15.6008i 0.312737 + 0.684798i
\(520\) −18.9951 2.73108i −0.832989 0.119766i
\(521\) −7.49635 + 8.65125i −0.328421 + 0.379018i −0.895814 0.444429i \(-0.853407\pi\)
0.567393 + 0.823447i \(0.307952\pi\)
\(522\) 0.999640 2.18891i 0.0437531 0.0958058i
\(523\) 26.1091 + 16.7793i 1.14167 + 0.733708i 0.967964 0.251089i \(-0.0807887\pi\)
0.173708 + 0.984797i \(0.444425\pi\)
\(524\) −2.62658 + 0.377646i −0.114743 + 0.0164975i
\(525\) −15.8079 7.94957i −0.689911 0.346947i
\(526\) 21.9822 19.0476i 0.958468 0.830517i
\(527\) 6.92697 + 23.5911i 0.301743 + 1.02764i
\(528\) 4.19622 0.182617
\(529\) −19.5075 12.1844i −0.848150 0.529756i
\(530\) 28.4278i 1.23482i
\(531\) −3.70077 12.6037i −0.160600 0.546953i
\(532\) −6.12833 2.05234i −0.265697 0.0889804i
\(533\) 28.0731 18.0415i 1.21598 0.781463i
\(534\) 2.91389 0.418954i 0.126096 0.0181299i
\(535\) −1.01751 + 1.58328i −0.0439910 + 0.0684513i
\(536\) −7.76932 3.54813i −0.335584 0.153256i
\(537\) −18.7822 16.2749i −0.810513 0.702314i
\(538\) 15.0771 + 2.16776i 0.650020 + 0.0934588i
\(539\) 2.20422 29.2908i 0.0949423 1.26164i
\(540\) −0.963170 + 3.28025i −0.0414482 + 0.141160i
\(541\) 8.82821 + 2.59220i 0.379554 + 0.111447i 0.465944 0.884814i \(-0.345715\pi\)
−0.0863896 + 0.996261i \(0.527533\pi\)
\(542\) −13.3831 + 6.11184i −0.574852 + 0.262526i
\(543\) 9.43070 + 1.35593i 0.404710 + 0.0581885i
\(544\) 3.77402 4.35545i 0.161810 0.186738i
\(545\) −10.1057 4.61510i −0.432879 0.197689i
\(546\) 14.8409 + 0.557623i 0.635133 + 0.0238641i
\(547\) 3.83088 + 26.6443i 0.163797 + 1.13923i 0.891395 + 0.453227i \(0.149727\pi\)
−0.727599 + 0.686003i \(0.759364\pi\)
\(548\) 4.97704 + 7.74443i 0.212609 + 0.330826i
\(549\) −1.76314 2.03477i −0.0752488 0.0868417i
\(550\) 7.90637 + 26.9266i 0.337129 + 1.14815i
\(551\) 5.87810 0.250416
\(552\) 4.61018 + 1.32147i 0.196222 + 0.0562453i
\(553\) −7.39982 12.5246i −0.314672 0.532602i
\(554\) −27.5066 + 8.07666i −1.16864 + 0.343144i
\(555\) −13.8516 15.9856i −0.587968 0.678551i
\(556\) 4.74727 + 7.38689i 0.201329 + 0.313274i
\(557\) −22.9957 + 3.30628i −0.974360 + 0.140092i −0.611063 0.791582i \(-0.709258\pi\)
−0.363297 + 0.931674i \(0.618349\pi\)
\(558\) 2.30653 3.58904i 0.0976434 0.151936i
\(559\) 27.5063 60.2304i 1.16339 2.54747i
\(560\) 1.62251 8.89842i 0.0685635 0.376027i
\(561\) 3.44163 23.9370i 0.145306 1.01062i
\(562\) 5.76125 2.63107i 0.243024 0.110985i
\(563\) −12.2458 3.59568i −0.516098 0.151540i 0.0133036 0.999912i \(-0.495765\pi\)
−0.529401 + 0.848372i \(0.677583\pi\)
\(564\) 12.5329 + 3.68000i 0.527731 + 0.154956i
\(565\) −8.54080 + 3.90045i −0.359314 + 0.164093i
\(566\) −1.49658 + 10.4089i −0.0629059 + 0.437520i
\(567\) 0.474593 2.60284i 0.0199310 0.109309i
\(568\) −2.12769 + 4.65899i −0.0892759 + 0.195487i
\(569\) −1.41611 + 2.20350i −0.0593662 + 0.0923757i −0.869668 0.493638i \(-0.835667\pi\)
0.810302 + 0.586013i \(0.199303\pi\)
\(570\) −8.26605 + 1.18848i −0.346227 + 0.0497799i
\(571\) −1.06765 1.66130i −0.0446798 0.0695231i 0.818195 0.574941i \(-0.194975\pi\)
−0.862875 + 0.505418i \(0.831338\pi\)
\(572\) −15.4250 17.8014i −0.644953 0.744315i
\(573\) −8.27635 + 2.43016i −0.345749 + 0.101521i
\(574\) 8.00080 + 13.5418i 0.333947 + 0.565225i
\(575\) 0.206653 + 32.0727i 0.00861802 + 1.33753i
\(576\) −1.00000 −0.0416667
\(577\) 3.94519 + 13.4361i 0.164240 + 0.559352i 0.999948 + 0.0101773i \(0.00323958\pi\)
−0.835708 + 0.549174i \(0.814942\pi\)
\(578\) −10.6174 12.2531i −0.441624 0.509661i
\(579\) −3.36657 5.23849i −0.139910 0.217704i
\(580\) 1.17079 + 8.14299i 0.0486142 + 0.338119i
\(581\) 31.1404 + 1.17005i 1.29192 + 0.0485419i
\(582\) −0.235116 0.107374i −0.00974589 0.00445080i
\(583\) 22.8499 26.3702i 0.946347 1.09214i
\(584\) 11.8968 + 1.71051i 0.492295 + 0.0707813i
\(585\) 17.4562 7.97198i 0.721725 0.329601i
\(586\) −7.58498 2.22715i −0.313333 0.0920028i
\(587\) 0.405781 1.38196i 0.0167484 0.0570397i −0.950695 0.310128i \(-0.899628\pi\)
0.967443 + 0.253088i \(0.0814463\pi\)
\(588\) −0.525286 + 6.98026i −0.0216624 + 0.287861i
\(589\) 10.3153 + 1.48312i 0.425036 + 0.0611110i
\(590\) 33.9390 + 29.4083i 1.39725 + 1.21072i
\(591\) −9.28883 4.24207i −0.382092 0.174495i
\(592\) 3.34498 5.20490i 0.137478 0.213920i
\(593\) −43.0486 + 6.18945i −1.76779 + 0.254170i −0.947950 0.318419i \(-0.896848\pi\)
−0.819842 + 0.572589i \(0.805939\pi\)
\(594\) −3.53009 + 2.26865i −0.144841 + 0.0930839i
\(595\) −49.4296 16.5537i −2.02642 0.678636i
\(596\) 3.23160 + 11.0058i 0.132372 + 0.450816i
\(597\) 14.4789i 0.592582i
\(598\) −11.3407 24.4151i −0.463756 0.998409i
\(599\) −35.8933 −1.46656 −0.733280 0.679927i \(-0.762011\pi\)
−0.733280 + 0.679927i \(0.762011\pi\)
\(600\) −1.88416 6.41687i −0.0769206 0.261967i
\(601\) 11.9109 10.3208i 0.485854 0.420995i −0.377181 0.926140i \(-0.623106\pi\)
0.863035 + 0.505145i \(0.168561\pi\)
\(602\) 27.8820 + 14.0215i 1.13638 + 0.571473i
\(603\) 8.45423 1.21553i 0.344283 0.0495004i
\(604\) −1.98521 1.27581i −0.0807769 0.0519121i
\(605\) −9.38508 + 20.5505i −0.381558 + 0.835495i
\(606\) −3.26377 + 3.76660i −0.132582 + 0.153008i
\(607\) −21.8467 3.14108i −0.886729 0.127492i −0.316125 0.948718i \(-0.602382\pi\)
−0.570604 + 0.821225i \(0.693291\pi\)
\(608\) −1.01475 2.22199i −0.0411534 0.0901134i
\(609\) −1.56306 6.17179i −0.0633384 0.250094i
\(610\) 8.83170 + 2.59322i 0.357585 + 0.104996i
\(611\) −30.4587 66.6952i −1.23223 2.69820i
\(612\) −0.820172 + 5.70442i −0.0331535 + 0.230588i
\(613\) −21.8072 18.8960i −0.880783 0.763203i 0.0917957 0.995778i \(-0.470739\pi\)
−0.972578 + 0.232575i \(0.925285\pi\)
\(614\) 12.6904 + 5.79551i 0.512143 + 0.233888i
\(615\) 17.0977 + 10.9880i 0.689446 + 0.443080i
\(616\) 8.65752 6.95021i 0.348821 0.280032i
\(617\) 2.65397 + 4.12966i 0.106845 + 0.166254i 0.890559 0.454868i \(-0.150314\pi\)
−0.783714 + 0.621122i \(0.786677\pi\)
\(618\) −7.39355 + 6.40655i −0.297412 + 0.257709i
\(619\) −0.375863 + 0.110363i −0.0151072 + 0.00443588i −0.289277 0.957245i \(-0.593415\pi\)
0.274170 + 0.961681i \(0.411597\pi\)
\(620\) 14.5853i 0.585762i
\(621\) −4.59277 + 1.38076i −0.184301 + 0.0554081i
\(622\) 22.4981i 0.902091i
\(623\) 5.31793 5.69065i 0.213059 0.227991i
\(624\) 3.67593 + 4.24225i 0.147155 + 0.169826i
\(625\) −11.5358 + 7.41359i −0.461431 + 0.296544i
\(626\) −0.614941 4.27701i −0.0245780 0.170944i
\(627\) −8.62306 5.54170i −0.344372 0.221314i
\(628\) 4.03346 8.83205i 0.160953 0.352437i
\(629\) −26.9475 23.3501i −1.07447 0.931030i
\(630\) 3.44591 + 8.36302i 0.137288 + 0.333191i
\(631\) 20.6124 9.41335i 0.820565 0.374740i 0.0395236 0.999219i \(-0.487416\pi\)
0.781042 + 0.624479i \(0.214689\pi\)
\(632\) 1.54907 5.27564i 0.0616186 0.209854i
\(633\) 4.28498 14.5933i 0.170313 0.580031i
\(634\) −11.1873 24.4967i −0.444304 0.972890i
\(635\) −4.99758 + 34.7590i −0.198323 + 1.37937i
\(636\) −5.44535 + 6.28427i −0.215922 + 0.249187i
\(637\) 31.5429 23.4306i 1.24978 0.928352i
\(638\) −5.45920 + 8.49468i −0.216132 + 0.336308i
\(639\) −0.728914 5.06971i −0.0288354 0.200555i
\(640\) 2.87603 1.84831i 0.113685 0.0730608i
\(641\) −8.60913 + 7.45986i −0.340040 + 0.294647i −0.808094 0.589053i \(-0.799501\pi\)
0.468054 + 0.883700i \(0.344955\pi\)
\(642\) 0.528212 0.155097i 0.0208468 0.00612119i
\(643\) 15.5338 0.612593 0.306296 0.951936i \(-0.400910\pi\)
0.306296 + 0.951936i \(0.400910\pi\)
\(644\) 11.7003 4.90943i 0.461057 0.193459i
\(645\) 40.3272 1.58788
\(646\) −13.5074 + 3.96614i −0.531442 + 0.156046i
\(647\) 1.00253 0.868696i 0.0394135 0.0341520i −0.634931 0.772569i \(-0.718972\pi\)
0.674345 + 0.738417i \(0.264426\pi\)
\(648\) 0.841254 0.540641i 0.0330476 0.0212384i
\(649\) 7.84448 + 54.5595i 0.307923 + 2.14165i
\(650\) −20.2959 + 31.5810i −0.796070 + 1.23871i
\(651\) −1.18576 11.2251i −0.0464734 0.439947i
\(652\) −3.34109 + 3.85582i −0.130847 + 0.151006i
\(653\) −2.23383 + 15.5366i −0.0874165 + 0.607995i 0.898275 + 0.439434i \(0.144821\pi\)
−0.985691 + 0.168561i \(0.946088\pi\)
\(654\) 1.34994 + 2.95596i 0.0527870 + 0.115587i
\(655\) −2.55586 + 8.70447i −0.0998658 + 0.340112i
\(656\) −1.67487 + 5.70410i −0.0653929 + 0.222708i
\(657\) −10.9330 + 4.99295i −0.426538 + 0.194793i
\(658\) 31.9527 13.1658i 1.24565 0.513258i
\(659\) 38.1584 + 33.0645i 1.48644 + 1.28801i 0.861969 + 0.506961i \(0.169231\pi\)
0.624472 + 0.781047i \(0.285314\pi\)
\(660\) 5.95946 13.0494i 0.231972 0.507947i
\(661\) −4.62430 2.97186i −0.179865 0.115592i 0.447610 0.894229i \(-0.352275\pi\)
−0.627475 + 0.778637i \(0.715912\pi\)
\(662\) 4.64921 + 32.3360i 0.180697 + 1.25677i
\(663\) 27.2145 17.4897i 1.05692 0.679243i
\(664\) 7.71313 + 8.90143i 0.299328 + 0.345442i
\(665\) −15.0858 + 16.1431i −0.585002 + 0.626003i
\(666\) 6.18707i 0.239744i
\(667\) −8.67287 + 7.61347i −0.335815 + 0.294795i
\(668\) 17.0076i 0.658044i
\(669\) −6.07145 + 1.78274i −0.234736 + 0.0689246i
\(670\) −22.0679 + 19.1219i −0.852557 + 0.738745i
\(671\) 6.10807 + 9.50435i 0.235800 + 0.366911i
\(672\) −2.06317 + 1.65630i −0.0795885 + 0.0638932i
\(673\) −19.7699 12.7054i −0.762075 0.489756i 0.100966 0.994890i \(-0.467807\pi\)
−0.863041 + 0.505134i \(0.831443\pi\)
\(674\) −2.88480 1.31744i −0.111118 0.0507460i
\(675\) 5.05428 + 4.37956i 0.194539 + 0.168569i
\(676\) 2.63412 18.3207i 0.101312 0.704643i
\(677\) 15.4554 + 33.8426i 0.594000 + 1.30068i 0.932995 + 0.359890i \(0.117186\pi\)
−0.338995 + 0.940788i \(0.610087\pi\)
\(678\) 2.63517 + 0.773756i 0.101203 + 0.0297159i
\(679\) −0.662929 + 0.167893i −0.0254409 + 0.00644313i
\(680\) −8.18470 17.9220i −0.313869 0.687277i
\(681\) −12.0073 1.72638i −0.460119 0.0661551i
\(682\) −11.7235 + 13.5297i −0.448918 + 0.518078i
\(683\) −11.5204 + 25.2261i −0.440816 + 0.965252i 0.550632 + 0.834748i \(0.314387\pi\)
−0.991448 + 0.130504i \(0.958341\pi\)
\(684\) 2.05496 + 1.32064i 0.0785732 + 0.0504959i
\(685\) 31.1520 4.47897i 1.19025 0.171133i
\(686\) 10.4777 + 15.2715i 0.400039 + 0.583068i
\(687\) 3.42599 2.96864i 0.130710 0.113261i
\(688\) 3.32330 + 11.3181i 0.126699 + 0.431499i
\(689\) 46.6761 1.77822
\(690\) 10.6568 12.4600i 0.405699 0.474342i
\(691\) 23.7105i 0.901990i 0.892526 + 0.450995i \(0.148931\pi\)
−0.892526 + 0.450995i \(0.851069\pi\)
\(692\) 4.83190 + 16.4559i 0.183681 + 0.625560i
\(693\) −3.52560 + 10.5275i −0.133927 + 0.399907i
\(694\) 24.0584 15.4614i 0.913245 0.586907i
\(695\) 29.7137 4.27219i 1.12711 0.162053i
\(696\) 1.30098 2.02436i 0.0493135 0.0767333i
\(697\) 31.1649 + 14.2325i 1.18046 + 0.539096i
\(698\) −20.6249 17.8716i −0.780664 0.676449i
\(699\) −12.2986 1.76827i −0.465175 0.0668820i
\(700\) −14.5156 10.1183i −0.548638 0.382437i
\(701\) 9.34579 31.8289i 0.352986 1.20216i −0.571391 0.820678i \(-0.693596\pi\)
0.924377 0.381481i \(-0.124586\pi\)
\(702\) −5.38592 1.58145i −0.203278 0.0596879i
\(703\) −13.7476 + 6.27831i −0.518500 + 0.236791i
\(704\) 4.15351 + 0.597185i 0.156541 + 0.0225073i
\(705\) 29.2432 33.7485i 1.10136 1.27104i
\(706\) 27.7764 + 12.6851i 1.04538 + 0.477409i
\(707\) −0.495101 + 13.1769i −0.0186202 + 0.495569i
\(708\) −1.86941 13.0021i −0.0702569 0.488647i
\(709\) −10.3581 16.1176i −0.389008 0.605308i 0.590422 0.807095i \(-0.298962\pi\)
−0.979429 + 0.201787i \(0.935325\pi\)
\(710\) 11.4668 + 13.2333i 0.430340 + 0.496639i
\(711\) 1.54907 + 5.27564i 0.0580946 + 0.197852i
\(712\) 2.94385 0.110326
\(713\) −17.1408 + 11.1724i −0.641928 + 0.418410i
\(714\) 7.75609 + 13.1276i 0.290264 + 0.491290i
\(715\) −77.2653 + 22.6871i −2.88956 + 0.848451i
\(716\) −16.2749 18.7822i −0.608222 0.701925i
\(717\) −16.2868 25.3427i −0.608241 0.946441i
\(718\) −13.6865 + 1.96782i −0.510774 + 0.0734382i
\(719\) 16.0956 25.0453i 0.600266 0.934032i −0.399584 0.916697i \(-0.630845\pi\)
0.999850 0.0173354i \(-0.00551831\pi\)
\(720\) −1.42020 + 3.10979i −0.0529275 + 0.115895i
\(721\) −4.64297 + 25.4637i −0.172913 + 0.948319i
\(722\) 1.85480 12.9004i 0.0690285 0.480103i
\(723\) 10.7556 4.91192i 0.400005 0.182676i
\(724\) 9.14174 + 2.68426i 0.339750 + 0.0997596i
\(725\) 15.4413 + 4.53398i 0.573476 + 0.168388i
\(726\) 6.01112 2.74519i 0.223094 0.101883i
\(727\) −3.08269 + 21.4406i −0.114331 + 0.795187i 0.849293 + 0.527922i \(0.177029\pi\)
−0.963623 + 0.267264i \(0.913880\pi\)
\(728\) 14.6105 + 2.66403i 0.541501 + 0.0987355i
\(729\) −0.415415 + 0.909632i −0.0153857 + 0.0336901i
\(730\) 22.2152 34.5674i 0.822220 1.27940i
\(731\) 67.2890 9.67469i 2.48877 0.357831i
\(732\) −1.45561 2.26498i −0.0538009 0.0837159i
\(733\) 21.0314 + 24.2715i 0.776812 + 0.896489i 0.996875 0.0789970i \(-0.0251717\pi\)
−0.220063 + 0.975486i \(0.570626\pi\)
\(734\) 22.4054 6.57882i 0.826998 0.242828i
\(735\) 20.9612 + 11.5469i 0.773164 + 0.425913i
\(736\) 4.37519 + 1.96411i 0.161272 + 0.0723981i
\(737\) −35.8407 −1.32021
\(738\) −1.67487 5.70410i −0.0616530 0.209971i
\(739\) 14.4467 + 16.6724i 0.531431 + 0.613304i 0.956456 0.291878i \(-0.0942801\pi\)
−0.425025 + 0.905182i \(0.639735\pi\)
\(740\) −11.4356 17.7942i −0.420382 0.654127i
\(741\) −1.95139 13.5722i −0.0716861 0.498588i
\(742\) −0.826038 + 21.9846i −0.0303248 + 0.807082i
\(743\) −13.8678 6.33320i −0.508759 0.232342i 0.144461 0.989510i \(-0.453855\pi\)
−0.653220 + 0.757168i \(0.726582\pi\)
\(744\) 2.79383 3.22425i 0.102427 0.118207i
\(745\) 38.8154 + 5.58081i 1.42209 + 0.204465i
\(746\) −30.1947 + 13.7895i −1.10551 + 0.504868i
\(747\) −11.3012 3.31832i −0.413488 0.121411i
\(748\) 6.81319 23.2036i 0.249115 0.848408i
\(749\) 0.832903 1.19487i 0.0304336 0.0436595i
\(750\) −5.71131 0.821162i −0.208547 0.0299846i
\(751\) 37.6621 + 32.6344i 1.37431 + 1.19085i 0.959761 + 0.280819i \(0.0906060\pi\)
0.414549 + 0.910027i \(0.363939\pi\)
\(752\) 11.8816 + 5.42616i 0.433279 + 0.197872i
\(753\) 2.14657 3.34013i 0.0782254 0.121721i
\(754\) −13.3702 + 1.92234i −0.486912 + 0.0700074i
\(755\) −6.78690 + 4.36167i −0.247001 + 0.158738i
\(756\) 0.840184 2.50880i 0.0305572 0.0912443i
\(757\) 5.60849 + 19.1008i 0.203844 + 0.694230i 0.996426 + 0.0844646i \(0.0269180\pi\)
−0.792582 + 0.609765i \(0.791264\pi\)
\(758\) 14.1569i 0.514203i
\(759\) 19.9007 2.99228i 0.722349 0.108613i
\(760\) −8.35106 −0.302925
\(761\) −6.57568 22.3947i −0.238368 0.811808i −0.988591 0.150623i \(-0.951872\pi\)
0.750223 0.661185i \(-0.229946\pi\)
\(762\) 7.76287 6.72656i 0.281219 0.243678i
\(763\) 7.68113 + 3.86274i 0.278076 + 0.139841i
\(764\) −8.53795 + 1.22757i −0.308892 + 0.0444120i
\(765\) 16.5748 + 10.6520i 0.599262 + 0.385123i
\(766\) 1.14207 2.50078i 0.0412646 0.0903568i
\(767\) −48.2861 + 55.7251i −1.74351 + 2.01212i
\(768\) −0.989821 0.142315i −0.0357171 0.00513534i
\(769\) −19.6926 43.1207i −0.710132 1.55497i −0.827238 0.561852i \(-0.810089\pi\)
0.117106 0.993119i \(-0.462638\pi\)
\(770\) −9.31835 36.7938i −0.335810 1.32595i
\(771\) −20.3932 5.98799i −0.734444 0.215652i
\(772\) −2.58679 5.66428i −0.0931007 0.203862i
\(773\) −3.66820 + 25.5129i −0.131936 + 0.917636i 0.811091 + 0.584920i \(0.198874\pi\)
−0.943027 + 0.332716i \(0.892035\pi\)
\(774\) −8.91476 7.72469i