Properties

Label 966.2.s.a.97.8
Level $966$
Weight $2$
Character 966.97
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 97.8
Character \(\chi\) \(=\) 966.97
Dual form 966.2.s.a.727.8

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.959493 - 0.281733i) q^{2} +(-0.755750 - 0.654861i) q^{3} +(0.841254 + 0.540641i) q^{4} +(0.486537 - 3.38394i) q^{5} +(0.540641 + 0.841254i) q^{6} +(2.17047 + 1.51296i) q^{7} +(-0.654861 - 0.755750i) q^{8} +(0.142315 + 0.989821i) q^{9} +O(q^{10})\) \(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} +(2.17047 + 1.51296i) 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} +(-1.65630 - 2.06317i) 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} +(-0.649553 - 2.56478i) 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} +(1.00795 + 2.44623i) 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} +(6.17579 - 6.60863i) 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} +(-0.0993397 + 2.64389i) 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} +(2.42189 + 6.56768i) 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} +(-0.277936 - 2.63111i) 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} +(-1.18867 + 2.36370i) 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} +(3.52560 - 10.5275i) 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} +(0.840184 - 2.50880i) 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} +(-0.473456 - 6.98397i) 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 \(\left(\mathbb{Z}/966\mathbb{Z}\right)^\times\).

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

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 −0.529325 0.848419i \(-0.677555\pi\)
0.746911 0.664925i \(-0.231536\pi\)
\(6\) 0.540641 + 0.841254i 0.220716 + 0.343440i
\(7\) 2.17047 + 1.51296i 0.820361 + 0.571846i
\(8\) −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 −0.921329 0.388785i \(-0.872895\pi\)
0.564878 0.825175i \(-0.308923\pi\)
\(12\) −0.281733 0.959493i −0.0813292 0.276982i
\(13\) 5.10604 + 2.33185i 1.41616 + 0.646738i 0.968852 0.247642i \(-0.0796556\pi\)
0.447308 + 0.894380i \(0.352383\pi\)
\(14\) −1.65630 2.06317i −0.442665 0.551405i
\(15\) −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 \(-0.435502\pi\)
0.974622 + 0.223859i \(0.0718654\pi\)
\(18\) 0.142315 0.989821i 0.0335439 0.233303i
\(19\) 2.05496 + 1.32064i 0.471439 + 0.302976i 0.754703 0.656066i \(-0.227781\pi\)
−0.283264 + 0.959042i \(0.591417\pi\)
\(20\) 2.23880 2.58371i 0.500610 0.577735i
\(21\) −0.649553 2.56478i −0.141744 0.559680i
\(22\) 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
\(28\) 1.00795 + 2.44623i 0.190484 + 0.462294i
\(29\) −2.02436 + 1.30098i −0.375915 + 0.241586i −0.714931 0.699195i \(-0.753542\pi\)
0.339017 + 0.940780i \(0.389906\pi\)
\(30\) 3.10979 1.42020i 0.567768 0.259291i
\(31\) 3.22425 2.79383i 0.579093 0.501787i −0.315346 0.948977i \(-0.602121\pi\)
0.894439 + 0.447190i \(0.147575\pi\)
\(32\) −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
\(35\) 6.17579 6.60863i 1.04390 1.11706i
\(36\) −0.415415 + 0.909632i −0.0692358 + 0.151605i
\(37\) 6.12410 0.880512i 1.00680 0.144755i 0.380862 0.924632i \(-0.375627\pi\)
0.625933 + 0.779877i \(0.284718\pi\)
\(38\) −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 \(-0.300880\pi\)
0.333443 + 0.942770i \(0.391789\pi\)
\(42\) −0.0993397 + 2.64389i −0.0153285 + 0.407960i
\(43\) −8.91476 7.72469i −1.35949 1.17800i −0.965960 0.258692i \(-0.916709\pi\)
−0.393529 0.919312i \(-0.628746\pi\)
\(44\) 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
\(49\) 2.42189 + 6.56768i 0.345984 + 0.938240i
\(50\) 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 −0.860494 0.509460i \(-0.829845\pi\)
−0.178480 + 0.983944i \(0.557118\pi\)
\(54\) −0.755750 + 0.654861i −0.102844 + 0.0891153i
\(55\) −14.1998 + 2.04162i −1.91470 + 0.275292i
\(56\) −0.277936 2.63111i −0.0371407 0.351597i
\(57\) −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 \(-0.690119\pi\)
−0.993196 + 0.116456i \(0.962847\pi\)
\(60\) −3.38394 + 0.486537i −0.436865 + 0.0628117i
\(61\) −1.76314 2.03477i −0.225746 0.260525i 0.631566 0.775322i \(-0.282413\pi\)
−0.857312 + 0.514797i \(0.827867\pi\)
\(62\) −3.88076 + 1.77228i −0.492857 + 0.225080i
\(63\) −1.18867 + 2.36370i −0.149759 + 0.297798i
\(64\) −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 −0.671561 0.740949i \(-0.734376\pi\)
0.965541 0.260253i \(-0.0838059\pi\)
\(68\) 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 0.560020 0.828479i \(-0.310794\pi\)
0.0232087 + 0.999731i \(0.492612\pi\)
\(72\) 0.654861 0.755750i 0.0771761 0.0890659i
\(73\) 6.49806 10.1112i 0.760540 1.18342i −0.217714 0.976013i \(-0.569860\pi\)
0.978254 0.207411i \(-0.0665036\pi\)
\(74\) −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
\(77\) 3.52560 10.5275i 0.401780 1.19972i
\(78\) 0.798856 + 5.55616i 0.0904526 + 0.629112i
\(79\) −5.00149 2.28410i −0.562711 0.256982i 0.113688 0.993516i \(-0.463733\pi\)
−0.676400 + 0.736535i \(0.736461\pi\)
\(80\) 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 −0.847213 0.531253i \(-0.821721\pi\)
0.663224 0.748421i \(-0.269188\pi\)
\(84\) 0.840184 2.50880i 0.0916716 0.273733i
\(85\) −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 \(-0.722860\pi\)
0.848668 + 0.528926i \(0.177405\pi\)
\(90\) −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 \(-0.958722\pi\)
0.987869 + 0.155291i \(0.0496315\pi\)
\(98\) −0.473456 6.98397i −0.0478263 0.705488i
\(99\) 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 \(-0.625214\pi\)
−0.107565 + 0.994198i \(0.534305\pi\)
\(102\) 5.24229 + 2.39407i 0.519064 + 0.237048i
\(103\) −9.38679 + 2.75621i −0.924908 + 0.271577i −0.709303 0.704903i \(-0.750990\pi\)
−0.215604 + 0.976481i \(0.569172\pi\)
\(104\) −1.58145 5.38592i −0.155074 0.528133i
\(105\) −8.99508 + 0.950189i −0.877830 + 0.0927289i
\(106\) 8.23064 1.18339i 0.799431 0.114941i
\(107\) −0.416049 + 0.360508i −0.0402209 + 0.0348516i −0.674739 0.738056i \(-0.735744\pi\)
0.634518 + 0.772908i \(0.281198\pi\)
\(108\) 0.909632 0.415415i 0.0875294 0.0399733i
\(109\) 1.75688 + 2.73376i 0.168279 + 0.261847i 0.915143 0.403130i \(-0.132078\pi\)
−0.746864 + 0.664977i \(0.768441\pi\)
\(110\) 14.1998 + 2.04162i 1.35390 + 0.194661i
\(111\) −5.20490 3.34498i −0.494027 0.317492i
\(112\) −0.474593 + 2.60284i −0.0448448 + 0.245945i
\(113\) −0.773756 + 2.63517i −0.0727888 + 0.247896i −0.987848 0.155424i \(-0.950326\pi\)
0.915059 + 0.403320i \(0.132144\pi\)
\(114\) 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
\(119\) 15.2369 + 0.572503i 1.39677 + 0.0524813i
\(120\) 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
\(126\) 1.80645 1.93306i 0.160932 0.172211i
\(127\) −9.85567 + 2.89388i −0.874549 + 0.256791i −0.688049 0.725664i \(-0.741533\pi\)
−0.186500 + 0.982455i \(0.559714\pi\)
\(128\) 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 \(-0.599381\pi\)
0.518061 + 0.855343i \(0.326654\pi\)
\(132\) −3.53009 + 2.26865i −0.307255 + 0.197461i
\(133\) 2.46214 + 5.97548i 0.213495 + 0.518140i
\(134\) −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 \(-0.871350\pi\)
0.919430 0.393253i \(-0.128650\pi\)
\(138\) −3.16389 + 3.60414i −0.269328 + 0.306805i
\(139\) 8.78081i 0.744779i 0.928077 + 0.372389i \(0.121461\pi\)
−0.928077 + 0.372389i \(0.878539\pi\)
\(140\) 8.76830 2.22065i 0.741057 0.187679i
\(141\) 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
\(147\) 2.47058 6.54952i 0.203770 0.540196i
\(148\) 5.62796 + 2.57020i 0.462615 + 0.211269i
\(149\) −3.23160 11.0058i −0.264743 0.901633i −0.979361 0.202118i \(-0.935218\pi\)
0.714618 0.699515i \(-0.246601\pi\)
\(150\) −1.88416 6.41687i −0.153841 0.523935i
\(151\) −0.980304 + 2.14657i −0.0797760 + 0.174685i −0.945317 0.326153i \(-0.894248\pi\)
0.865541 + 0.500838i \(0.166975\pi\)
\(152\) −0.347637 2.41787i −0.0281971 0.196115i
\(153\) 3.77402 + 4.35545i 0.305111 + 0.352117i
\(154\) −6.34873 + 9.10778i −0.511595 + 0.733926i
\(155\) −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 \(-0.444826\pi\)
−0.824356 + 0.566072i \(0.808462\pi\)
\(158\) 4.15539 + 3.60066i 0.330585 + 0.286453i
\(159\) 7.97845 + 2.34269i 0.632732 + 0.185787i
\(160\) −3.41874 −0.270275
\(161\) −4.10682 + 12.0056i −0.323663 + 0.946172i
\(162\) 1.00000 0.0785674
\(163\) −4.89531 1.43739i −0.383431 0.112585i 0.0843361 0.996437i \(-0.473123\pi\)
−0.467767 + 0.883852i \(0.654941\pi\)
\(164\) 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 0.989212 + 0.146491i \(0.0467980\pi\)
−0.277681 + 0.960673i \(0.589566\pi\)
\(168\) −1.51296 + 2.17047i −0.116728 + 0.167455i
\(169\) 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 0.911212 + 0.411938i \(0.135148\pi\)
−0.543850 + 0.839183i \(0.683034\pi\)
\(174\) −2.18891 0.999640i −0.165941 0.0757825i
\(175\) −11.0770 13.7980i −0.837339 1.04303i
\(176\) 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 0.234680 + 0.972073i \(0.424596\pi\)
−0.499038 + 0.866580i \(0.666313\pi\)
\(180\) 2.87603 + 1.84831i 0.214366 + 0.137765i
\(181\) −6.23930 + 7.20054i −0.463764 + 0.535212i −0.938666 0.344826i \(-0.887938\pi\)
0.474903 + 0.880038i \(0.342483\pi\)
\(182\) −3.64613 14.3969i −0.270269 1.06717i
\(183\) 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
\(189\) 2.44623 1.00795i 0.177937 0.0733174i
\(190\) −7.02536 + 4.51492i −0.509673 + 0.327547i
\(191\) −7.84626 + 3.58327i −0.567735 + 0.259276i −0.678537 0.734566i \(-0.737386\pi\)
0.110801 + 0.993843i \(0.464658\pi\)
\(192\) 0.755750 0.654861i 0.0545415 0.0472605i
\(193\) 0.886195 + 6.16362i 0.0637897 + 0.443667i 0.996538 + 0.0831390i \(0.0264945\pi\)
−0.932748 + 0.360528i \(0.882596\pi\)
\(194\) 0.107374 0.235116i 0.00770901 0.0168804i
\(195\) −18.4130 + 5.40656i −1.31859 + 0.387172i
\(196\) −1.51333 + 6.83446i −0.108095 + 0.488176i
\(197\) −4.24207 + 9.28883i −0.302235 + 0.661802i −0.998428 0.0560527i \(-0.982149\pi\)
0.696193 + 0.717855i \(0.254876\pi\)
\(198\) −4.15351 + 0.597185i −0.295177 + 0.0424401i
\(199\) 9.48167 + 10.9424i 0.672138 + 0.775688i 0.984709 0.174206i \(-0.0557358\pi\)
−0.312571 + 0.949894i \(0.601190\pi\)
\(200\) 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
\(203\) −6.36215 0.239048i −0.446536 0.0167779i
\(204\) −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
\(210\) 8.89842 + 1.62251i 0.614049 + 0.111964i
\(211\) 12.7949 + 8.22281i 0.880840 + 0.566082i 0.901051 0.433714i \(-0.142797\pi\)
−0.0202102 + 0.999796i \(0.506434\pi\)
\(212\) −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
\(217\) 11.2251 1.18576i 0.762010 0.0804943i
\(218\) −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 \(-0.568409\pi\)
0.598707 + 0.800968i \(0.295681\pi\)
\(224\) 1.18867 2.36370i 0.0794215 0.157931i
\(225\) 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 \(-0.640843\pi\)
0.955433 + 0.295208i \(0.0953889\pi\)
\(228\) 0.688197 2.34378i 0.0455769 0.155221i
\(229\) −4.53323 −0.299565 −0.149782 0.988719i \(-0.547857\pi\)
−0.149782 + 0.988719i \(0.547857\pi\)
\(230\) −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 −0.956850 0.290583i \(-0.906151\pi\)
0.423799 + 0.905756i \(0.360696\pi\)
\(234\) 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
\(238\) −14.4584 4.84205i −0.937202 0.313864i
\(239\) 4.28723 + 29.8183i 0.277318 + 1.92879i 0.361576 + 0.932343i \(0.382239\pi\)
−0.0842582 + 0.996444i \(0.526852\pi\)
\(240\) −3.10979 1.42020i −0.200736 0.0916732i
\(241\) −11.3452 + 3.33124i −0.730807 + 0.214584i −0.625906 0.779898i \(-0.715271\pi\)
−0.104901 + 0.994483i \(0.533452\pi\)
\(242\) 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
\(245\) 23.4030 5.00011i 1.49516 0.319445i
\(246\) 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 \(-0.449082\pi\)
−0.399742 + 0.916628i \(0.630900\pi\)
\(252\) −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 −0.271463 0.962449i \(-0.587508\pi\)
0.988244 0.152884i \(-0.0488560\pi\)
\(258\) 1.67874 11.6759i 0.104513 0.726907i
\(259\) 14.6244 + 7.35440i 0.908714 + 0.456980i
\(260\) 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 −0.631923 0.775031i \(-0.717734\pi\)
−0.999551 + 0.0299615i \(0.990462\pi\)
\(264\) 4.02625 1.18221i 0.247798 0.0727602i
\(265\) 8.00903 + 27.2762i 0.491991 + 1.67557i
\(266\) −0.678922 6.42710i −0.0416274 0.394071i
\(267\) −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 \(-0.482648\pi\)
0.790308 + 0.612710i \(0.209921\pi\)
\(270\) 1.84831 + 2.87603i 0.112485 + 0.175029i
\(271\) −14.5629 2.09382i −0.884630 0.127191i −0.315000 0.949092i \(-0.602005\pi\)
−0.569630 + 0.821901i \(0.692914\pi\)
\(272\) 4.84822 + 3.11576i 0.293966 + 0.188921i
\(273\) 2.66403 14.6105i 0.161234 0.884268i
\(274\) −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
\(280\) −9.03875 0.339616i −0.540169 0.0202960i
\(281\) −6.26913 0.901365i −0.373985 0.0537710i −0.0472404 0.998884i \(-0.515043\pi\)
−0.326745 + 0.945113i \(0.605952\pi\)
\(282\) −10.9885 + 7.06187i −0.654354 + 0.420528i
\(283\) −4.36849 9.56567i −0.259680 0.568620i 0.734219 0.678912i \(-0.237548\pi\)
−0.993899 + 0.110293i \(0.964821\pi\)
\(284\) 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
\(287\) 11.4919 + 10.7392i 0.678344 + 0.633915i
\(288\) 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 \(-0.755990\pi\)
0.331773 + 0.943359i \(0.392353\pi\)
\(294\) −4.21571 + 5.58818i −0.245865 + 0.325909i
\(295\) −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
\(301\) −7.66208 30.2539i −0.441635 1.74381i
\(302\) 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 \(-0.596937\pi\)
0.901603 + 0.432564i \(0.142391\pi\)
\(308\) 8.65752 6.95021i 0.493308 0.396025i
\(309\) 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 0.918654 + 0.395063i \(0.129277\pi\)
−0.559234 + 0.829010i \(0.688905\pi\)
\(312\) −2.33185 + 5.10604i −0.132015 + 0.289072i
\(313\) 0.614941 + 4.27701i 0.0347585 + 0.241751i 0.999792 0.0203742i \(-0.00648577\pi\)
−0.965034 + 0.262125i \(0.915577\pi\)
\(314\) 6.35836 + 7.33793i 0.358823 + 0.414104i
\(315\) 7.42027 + 5.17242i 0.418085 + 0.291433i
\(316\) −2.97264 4.62552i −0.167224 0.260206i
\(317\) 3.83259 26.6563i 0.215260 1.49717i −0.539958 0.841692i \(-0.681560\pi\)
0.755218 0.655474i \(-0.227531\pi\)
\(318\) −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
\(322\) 7.32283 10.3622i 0.408085 0.577465i
\(323\) 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
\(329\) −19.7624 + 28.3508i −1.08953 + 1.56303i
\(330\) −9.39450 10.8418i −0.517150 0.596823i
\(331\) 4.64921 + 32.3360i 0.255544 + 1.77735i 0.563670 + 0.826000i \(0.309389\pi\)
−0.308127 + 0.951345i \(0.599702\pi\)
\(332\) 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
\(336\) 2.06317 1.65630i 0.112555 0.0903586i
\(337\) 2.39677 2.07682i 0.130561 0.113131i −0.587133 0.809491i \(-0.699743\pi\)
0.717693 + 0.696359i \(0.245198\pi\)
\(338\) −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
\(343\) −4.68002 + 17.9192i −0.252697 + 0.967545i
\(344\) 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 −0.555960 0.831209i \(-0.687649\pi\)
−0.917089 + 0.398683i \(0.869467\pi\)
\(348\) 1.81861 + 1.57583i 0.0974877 + 0.0844736i
\(349\) −14.7544 + 22.9584i −0.789787 + 1.22893i 0.179683 + 0.983724i \(0.442493\pi\)
−0.969470 + 0.245208i \(0.921144\pi\)
\(350\) 6.74092 + 16.3598i 0.360317 + 0.874469i
\(351\) 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 0.232507 0.972595i \(-0.425307\pi\)
0.995784 0.0917257i \(-0.0292383\pi\)
\(354\) −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
\(357\) −11.1404 10.4107i −0.589612 0.550995i
\(358\) 10.3241 22.6066i 0.545645 1.19480i
\(359\) 13.6865 1.96782i 0.722344 0.103857i 0.228669 0.973504i \(-0.426563\pi\)
0.493674 + 0.869647i \(0.335653\pi\)
\(360\) −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
\(364\) −0.557623 + 14.8409i −0.0292274 + 0.777875i
\(365\) −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 \(-0.291385\pi\)
0.609463 + 0.792814i \(0.291385\pi\)
\(368\) −3.64461 + 3.11718i −0.189988 + 0.162494i
\(369\) 5.94491i 0.309480i
\(370\) −5.95920 + 20.2952i −0.309804 + 1.05510i
\(371\) −21.6433 3.94637i −1.12367 0.204885i
\(372\) −3.58904 2.30653i −0.186083 0.119588i
\(373\) 32.8566 + 4.72406i 1.70125 + 0.244603i 0.923397 0.383845i \(-0.125400\pi\)
0.777852 + 0.628448i \(0.216309\pi\)
\(374\) 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
\(378\) −2.63111 + 0.277936i −0.135330 + 0.0142955i
\(379\) −3.98847 13.5835i −0.204874 0.697736i −0.996259 0.0864182i \(-0.972458\pi\)
0.791385 0.611318i \(-0.209360\pi\)
\(380\) 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 \(-0.204896\pi\)
−0.707886 + 0.706327i \(0.750351\pi\)
\(384\) −0.909632 + 0.415415i −0.0464195 + 0.0211991i
\(385\) −33.9091 17.0524i −1.72817 0.869073i
\(386\) 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 −0.948350 0.317224i \(-0.897249\pi\)
0.969308 + 0.245851i \(0.0790673\pi\)
\(390\) 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 −0.966492 0.256698i \(-0.917365\pi\)
0.167995 0.985788i \(-0.446271\pi\)
\(398\) −6.01476 13.1705i −0.301493 0.660177i
\(399\) 2.05234 6.12833i 0.102746 0.306800i
\(400\) −0.951769 6.61970i −0.0475884 0.330985i
\(401\) 25.0675 + 11.4480i 1.25181 + 0.571684i 0.927343 0.374212i \(-0.122087\pi\)
0.324470 + 0.945896i \(0.394814\pi\)
\(402\) 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
\(406\) 6.03709 + 2.02179i 0.299616 + 0.100340i
\(407\) −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 \(-0.286074\pi\)
0.376921 + 0.926245i \(0.376983\pi\)
\(410\) −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 0.949969 + 0.312343i \(0.101114\pi\)
−0.999486 + 0.0320541i \(0.989795\pi\)
\(420\) −8.08086 4.06376i −0.394305 0.198291i
\(421\) −14.0594 + 6.42070i −0.685212 + 0.312926i −0.727429 0.686183i \(-0.759285\pi\)
0.0422173 + 0.999108i \(0.486558\pi\)
\(422\) −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
\(427\) −0.748309 7.08396i −0.0362132 0.342817i
\(428\) −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 0.616998 0.786964i \(-0.288348\pi\)
−0.972158 + 0.234325i \(0.924712\pi\)
\(432\) 0.989821 + 0.142315i 0.0476228 + 0.00684713i
\(433\) −3.73448 2.40001i −0.179468 0.115337i 0.447822 0.894122i \(-0.352200\pi\)
−0.627290 + 0.778786i \(0.715836\pi\)
\(434\) −11.1045 2.02475i −0.533032 0.0971913i
\(435\) 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 −0.462843 0.886440i \(-0.653171\pi\)
0.868614 0.495489i \(-0.165011\pi\)
\(440\) 10.8418 + 9.39450i 0.516864 + 0.447865i
\(441\) −6.15616 + 3.33192i −0.293151 + 0.158663i
\(442\) −32.0206 4.60387i −1.52307 0.218984i
\(443\) −0.746061 + 0.479464i −0.0354464 + 0.0227800i −0.558244 0.829677i \(-0.688525\pi\)
0.522798 + 0.852457i \(0.324888\pi\)
\(444\) −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
\(448\) −1.80645 + 1.93306i −0.0853469 + 0.0913286i
\(449\) 4.24432 1.24625i 0.200302 0.0588139i −0.180043 0.983659i \(-0.557624\pi\)
0.380345 + 0.924845i \(0.375805\pi\)
\(450\) −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
\(455\) 46.9441 19.3429i 2.20077 0.906809i
\(456\) −1.32064 + 2.05496i −0.0618446 + 0.0962321i
\(457\) −26.3690 22.8489i −1.23349 1.06882i −0.995223 0.0976249i \(-0.968875\pi\)
−0.238266 0.971200i \(-0.576579\pi\)
\(458\) 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 \(0.978979\pi\)
\(462\) 10.7624 2.72567i 0.500711 0.126810i
\(463\) −1.85686 + 2.14293i −0.0862954 + 0.0995902i −0.797255 0.603643i \(-0.793715\pi\)
0.710960 + 0.703233i \(0.248261\pi\)
\(464\) −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 \(-0.0497040\pi\)
−0.764424 + 0.644713i \(0.776977\pi\)
\(468\) −4.24225 + 3.67593i −0.196098 + 0.169920i
\(469\) 17.6219 14.1467i 0.813703 0.653236i
\(470\) −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
\(476\) 12.5086 + 8.71933i 0.573331 + 0.399650i
\(477\) −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 \(-0.392933\pi\)
−0.721549 + 0.692363i \(0.756570\pi\)
\(480\) 2.58371 + 2.23880i 0.117930 + 0.102187i
\(481\) 33.3231 + 9.78454i 1.51940 + 0.446137i
\(482\) 11.8241 0.538574
\(483\) 10.9657 6.38382i 0.498957 0.290474i
\(484\) −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 −0.361306 0.932447i \(-0.617669\pi\)
−0.998276 + 0.0586966i \(0.981306\pi\)
\(488\) −0.383166 + 2.66498i −0.0173451 + 0.120638i
\(489\) 2.75834 + 4.29206i 0.124736 + 0.194094i
\(490\) −23.8637 1.79581i −1.07805 0.0811266i
\(491\) 19.0466 + 21.9809i 0.859560 + 0.991985i 0.999998 + 0.00189570i \(0.000603422\pi\)
−0.140438 + 0.990089i \(0.544851\pi\)
\(492\) −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
\(497\) 8.48331 + 10.5672i 0.380528 + 0.474005i
\(498\) 8.90143 7.71313i 0.398882 0.345634i
\(499\) 10.9410 + 23.9575i 0.489786 + 1.07248i 0.979655 + 0.200687i \(0.0643173\pi\)
−0.489869 + 0.871796i \(0.662955\pi\)
\(500\) −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 −0.308125 + 0.951346i \(0.599701\pi\)
−0.897812 + 0.440379i \(0.854844\pi\)
\(504\) 2.56478 0.649553i 0.114244 0.0289334i
\(505\) 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 \(-0.151660\pi\)
−0.327497 + 0.944852i \(0.606205\pi\)
\(510\) 10.6520 16.5748i 0.471677 0.733943i
\(511\) 29.4017 12.1147i 1.30065 0.535922i
\(512\) 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
\(518\) −11.9600 11.1767i −0.525492 0.491074i
\(519\) 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 \(-0.146593\pi\)
−0.567393 + 0.823447i \(0.692048\pi\)
\(522\) 0.999640 + 2.18891i 0.0437531 + 0.0958058i
\(523\) −26.1091 + 16.7793i −1.14167 + 0.733708i −0.967964 0.251089i \(-0.919211\pi\)
−0.173708 + 0.984797i \(0.555575\pi\)
\(524\) 2.62658 + 0.377646i 0.114743 + 0.0164975i
\(525\) −0.664361 + 17.6817i −0.0289951 + 0.771692i
\(526\) 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
\(532\) −1.15930 + 6.35803i −0.0502621 + 0.275656i
\(533\) 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
\(539\) 23.5799 17.5155i 1.01566 0.754447i
\(540\) −0.963170 3.28025i −0.0414482 0.141160i
\(541\) 8.82821 2.59220i 0.379554 0.111447i −0.0863896 0.996261i \(-0.527533\pi\)
0.465944 + 0.884814i \(0.345715\pi\)
\(542\) 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
\(546\) −6.67237 + 13.2681i −0.285551 + 0.567823i
\(547\) 3.83088 26.6443i 0.163797 1.13923i −0.727599 0.686003i \(-0.759364\pi\)
0.891395 0.453227i \(-0.149727\pi\)
\(548\) 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 −0.363297 0.931674i \(-0.618349\pi\)
−0.611063 + 0.791582i \(0.709258\pi\)
\(558\) −2.30653 3.58904i −0.0976434 0.151936i
\(559\) −27.5063 60.2304i −1.16339 2.54747i
\(560\) 8.57694 + 2.87237i 0.362442 + 0.121380i
\(561\) 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 \(-0.504235\pi\)
0.529401 + 0.848372i \(0.322417\pi\)
\(564\) 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
\(567\) −2.50880 0.840184i −0.105360 0.0352844i
\(568\) −2.12769 4.65899i −0.0892759 0.195487i
\(569\) −1.41611 2.20350i −0.0593662 0.0923757i 0.810302 0.586013i \(-0.199303\pi\)
−0.869668 + 0.493638i \(0.835667\pi\)
\(570\) 8.26605 + 1.18848i 0.346227 + 0.0497799i
\(571\) −1.06765 + 1.66130i −0.0446798 + 0.0695231i −0.862875 0.505418i \(-0.831338\pi\)
0.818195 + 0.574941i \(0.194975\pi\)
\(572\) 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 0.835708 + 0.549174i \(0.185058\pi\)
−0.999948 + 0.0101773i \(0.996760\pi\)
\(578\) −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
\(581\) 14.0005 27.8403i 0.580839 1.15501i
\(582\) −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 \(-0.100372\pi\)
−0.967443 + 0.253088i \(0.918554\pi\)
\(588\) 5.61932 4.17412i 0.231737 0.172138i
\(589\) 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 \(-0.103152\pi\)
0.819842 + 0.572589i \(0.194061\pi\)
\(594\) 3.53009 + 2.26865i 0.144841 + 0.0930839i
\(595\) 9.35065 51.2823i 0.383339 2.10237i
\(596\) 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 \(-0.376894\pi\)
−0.863035 + 0.505145i \(0.831439\pi\)
\(602\) −1.17180 + 31.1871i −0.0477592 + 1.27109i
\(603\) 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 \(-0.397618\pi\)
0.570604 + 0.821225i \(0.306709\pi\)
\(608\) 1.01475 2.22199i 0.0411534 0.0901134i
\(609\) 4.65165 + 4.34699i 0.188494 + 0.176149i
\(610\) 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 −0.972578 0.232575i \(-0.925285\pi\)
0.0917957 + 0.995778i \(0.470739\pi\)
\(614\) −12.6904 + 5.79551i −0.512143 + 0.233888i
\(615\) −17.0977 + 10.9880i −0.689446 + 0.443080i
\(616\) −10.2649 + 4.22957i −0.413586 + 0.170414i
\(617\) 2.65397 4.12966i 0.106845 0.166254i −0.783714 0.621122i \(-0.786677\pi\)
0.890559 + 0.454868i \(0.150314\pi\)
\(618\) −7.39355 6.40655i −0.297412 0.257709i
\(619\) 0.375863 + 0.110363i 0.0151072 + 0.00443588i 0.289277 0.957245i \(-0.406585\pi\)
−0.274170 + 0.961681i \(0.588403\pi\)
\(620\) 14.5853i 0.585762i
\(621\) 4.59277 + 1.38076i 0.184301 + 0.0554081i
\(622\) 22.4981i 0.902091i
\(623\) 7.55033 1.91219i 0.302498 0.0766103i
\(624\) 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
\(630\) −5.66246 7.05343i −0.225598 0.281016i
\(631\) 20.6124 + 9.41335i 0.820565 + 0.374740i 0.781042 0.624479i \(-0.214689\pi\)
0.0395236 + 0.999219i \(0.487416\pi\)
\(632\) 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
\(637\) −2.94859 + 39.1823i −0.116827 + 1.55246i
\(638\) −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 0.468054 0.883700i \(-0.344955\pi\)
−0.808094 + 0.589053i \(0.799501\pi\)
\(642\) −0.528212 0.155097i −0.0208468 0.00612119i
\(643\) −15.5338 −0.612593 −0.306296 0.951936i \(-0.599090\pi\)
−0.306296 + 0.951936i \(0.599090\pi\)
\(644\) −9.94559 + 7.87942i −0.391911 + 0.310493i
\(645\) 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 \(-0.281028\pi\)
−0.674345 + 0.738417i \(0.735574\pi\)
\(648\) 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
\(651\) −9.25987 6.45475i −0.362923 0.252981i
\(652\) −3.34109 3.85582i −0.130847 0.151006i
\(653\) −2.23383 15.5366i −0.0874165 0.607995i −0.985691 0.168561i \(-0.946088\pi\)
0.898275 0.439434i \(-0.144821\pi\)
\(654\) −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
\(658\) 26.9492 21.6347i 1.05059 0.843407i
\(659\) 38.1584 33.0645i 1.48644 1.28801i 0.624472 0.781047i \(-0.285314\pi\)
0.861969 0.506961i \(-0.169231\pi\)
\(660\) 5.95946 + 13.0494i 0.231972 + 0.507947i
\(661\) 4.62430 2.97186i 0.179865 0.115592i −0.447610 0.894229i \(-0.647725\pi\)
0.627475 + 0.778637i \(0.284088\pi\)
\(662\) 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
\(665\) 21.4186 5.42445i 0.830578 0.210351i
\(666\) 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
\(672\) −2.44623 + 1.00795i −0.0943654 + 0.0388824i
\(673\) −19.7699 + 12.7054i −0.762075 + 0.489756i −0.863041 0.505134i \(-0.831443\pi\)
0.100966 + 0.994890i \(0.467807\pi\)
\(674\) −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 0.338995 + 0.940788i \(0.389913\pi\)
−0.932995 + 0.359890i \(0.882814\pi\)
\(678\) −2.63517 + 0.773756i −0.101203 + 0.0297159i
\(679\) −0.466922 + 0.499647i −0.0179188 + 0.0191747i
\(680\) −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 −0.991448 0.130504i \(-0.958341\pi\)
0.550632 0.834748i \(-0.314387\pi\)
\(684\) −2.05496 + 1.32064i −0.0785732 + 0.0504959i
\(685\) −31.1520 4.47897i −1.19025 0.171133i
\(686\) 9.53886 15.8748i 0.364195 0.606104i
\(687\) 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
\(693\) 10.9221 + 1.99150i 0.414896 + 0.0756507i
\(694\) 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
\(700\) −1.85877 17.5963i −0.0702549 0.665076i
\(701\) 9.34579 + 31.8289i 0.352986 + 1.20216i 0.924377 + 0.381481i \(0.124586\pi\)
−0.571391 + 0.820678i \(0.693596\pi\)
\(702\) −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
\(707\) −11.7805 5.92425i −0.443050 0.222804i
\(708\) −1.86941 + 13.0021i −0.0702569 + 0.488647i
\(709\) −10.3581 + 16.1176i −0.389008 + 0.605308i −0.979429 0.201787i \(-0.935325\pi\)
0.590422 + 0.807095i \(0.298962\pi\)
\(710\) −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 −0.999850 0.0173354i \(-0.994482\pi\)
0.399584 0.916697i \(-0.369155\pi\)
\(720\) 1.42020 + 3.10979i 0.0529275 + 0.115895i
\(721\) −24.5438 8.21958i −0.914059 0.306113i
\(722\) 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 0.963623 + 0.267264i \(0.0861197\pi\)
−0.849293 + 0.527922i \(0.822971\pi\)
\(728\) 4.71621 14.0827i 0.174794 0.521938i
\(729\) −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 \(-0.974828\pi\)
0.220063 + 0.975486i \(0.429374\pi\)
\(734\) −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 −0.425025 0.905182i \(-0.639735\pi\)
0.956456 + 0.291878i \(0.0942801\pi\)
\(740\) 11.4356 17.7942i 0.420382 0.654127i
\(741\) 1.95139 13.5722i 0.0716861 0.498588i
\(742\) 19.6548 + 9.88414i 0.721550 + 0.362858i
\(743\) −13.8678 + 6.33320i −0.508759 + 0.232342i −0.653220 0.757168i \(-0.726582\pi\)
0.144461 + 0.989510i \(0.453855\pi\)
\(744\) 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
\(749\) −1.44846 + 0.153007i −0.0529255 + 0.00559074i
\(750\) −5.71131 + 0.821162i −0.208547 + 0.0299846i
\(751\) 37.6621 32.6344i 1.37431 1.19085i 0.414549 0.910027i \(-0.363939\pi\)
0.959761 0.280819i \(-0.0906060\pi\)
\(752\) −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
\(756\) 2.60284 + 0.474593i 0.0946643 + 0.0172608i
\(757\) 5.60849 19.1008i 0.203844 0.694230i −0.792582 0.609765i \(-0.791264\pi\)
0.996426 0.0844646i \(-0.0269180\pi\)
\(758\) 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 −0.750223 0.661185i \(-0.770054\pi\)
0.988591 0.150623i \(-0.0481280\pi\)
\(762\) −7.76287 6.72656i −0.281219 0.243678i
\(763\) −0.322817 + 8.59164i −0.0116868 + 0.311038i
\(764\) −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 −0.117106 0.993119i \(-0.537362\pi\)
0.827238 0.561852i \(-0.189911\pi\)
\(770\) 27.7313 + 25.9150i 0.999367 + 0.933912i
\(771\) −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 0.943027 + 0.332716i \(0.107965\pi\)
−0.811091 + 0.584920i \(0.801126\pi\)
\(774\) −8.91476 +