Properties

Label 322.2.k.a.111.4
Level $322$
Weight $2$
Character 322.111
Analytic conductor $2.571$
Analytic rank $0$
Dimension $80$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 322 = 2 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 322.k (of order \(22\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.57118294509\)
Analytic rank: \(0\)
Dimension: \(80\)
Relative dimension: \(8\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 111.4
Character \(\chi\) \(=\) 322.111
Dual form 322.2.k.a.293.4

$q$-expansion

\(f(q)\) \(=\) \(q+(0.415415 + 0.909632i) q^{2} +(-0.192661 - 0.656142i) q^{3} +(-0.654861 + 0.755750i) q^{4} +(-2.27924 - 1.46478i) q^{5} +(0.516813 - 0.447821i) q^{6} +(2.42953 + 1.04756i) q^{7} +(-0.959493 - 0.281733i) q^{8} +(2.13036 - 1.36910i) q^{9} +O(q^{10})\) \(q+(0.415415 + 0.909632i) q^{2} +(-0.192661 - 0.656142i) q^{3} +(-0.654861 + 0.755750i) q^{4} +(-2.27924 - 1.46478i) q^{5} +(0.516813 - 0.447821i) q^{6} +(2.42953 + 1.04756i) q^{7} +(-0.959493 - 0.281733i) q^{8} +(2.13036 - 1.36910i) q^{9} +(0.385580 - 2.68177i) q^{10} +(2.26114 + 1.03263i) q^{11} +(0.622045 + 0.284078i) q^{12} +(6.52887 + 0.938710i) q^{13} +(0.0563689 + 2.64515i) q^{14} +(-0.521984 + 1.77771i) q^{15} +(-0.142315 - 0.989821i) q^{16} +(-0.316476 - 0.365233i) q^{17} +(2.13036 + 1.36910i) q^{18} +(2.14841 - 2.47940i) q^{19} +(2.59960 - 0.763310i) q^{20} +(0.219273 - 1.79594i) q^{21} +2.48577i q^{22} +(-4.68197 + 1.03883i) q^{23} +0.683842i q^{24} +(0.972297 + 2.12903i) q^{25} +(1.85831 + 6.32882i) q^{26} +(-2.85920 - 2.47751i) q^{27} +(-2.38270 + 1.15011i) q^{28} +(-0.302739 - 0.349379i) q^{29} +(-1.83390 + 0.263676i) q^{30} +(0.191184 - 0.651111i) q^{31} +(0.841254 - 0.540641i) q^{32} +(0.241917 - 1.68257i) q^{33} +(0.200759 - 0.439600i) q^{34} +(-4.00305 - 5.94638i) q^{35} +(-0.360392 + 2.50658i) q^{36} +(-5.71656 - 8.89513i) q^{37} +(3.14782 + 0.924284i) q^{38} +(-0.641929 - 4.46472i) q^{39} +(1.77424 + 2.04759i) q^{40} +(-4.71645 + 7.33894i) q^{41} +(1.72473 - 0.546602i) q^{42} +(2.55273 + 8.69381i) q^{43} +(-2.26114 + 1.03263i) q^{44} -6.86103 q^{45} +(-2.88991 - 3.82732i) q^{46} +2.60942i q^{47} +(-0.622045 + 0.284078i) q^{48} +(4.80523 + 5.09016i) q^{49} +(-1.53273 + 1.76886i) q^{50} +(-0.178672 + 0.278019i) q^{51} +(-4.98493 + 4.31947i) q^{52} +(-1.06240 + 0.152750i) q^{53} +(1.06587 - 3.63001i) q^{54} +(-3.64111 - 5.66568i) q^{55} +(-2.03599 - 1.68960i) q^{56} +(-2.04075 - 0.931979i) q^{57} +(0.192044 - 0.420519i) q^{58} +(10.1661 + 1.46166i) q^{59} +(-1.00168 - 1.55864i) q^{60} +(-4.83478 - 1.41962i) q^{61} +(0.671692 - 0.0965748i) q^{62} +(6.60998 - 1.09459i) q^{63} +(0.841254 + 0.540641i) q^{64} +(-13.5059 - 11.7029i) q^{65} +(1.63102 - 0.478910i) q^{66} +(-2.73298 + 1.24811i) q^{67} +0.483273 q^{68} +(1.58365 + 2.87189i) q^{69} +(3.74609 - 6.11151i) q^{70} +(0.585563 + 1.28220i) q^{71} +(-2.42978 + 0.713448i) q^{72} +(1.75427 + 1.52008i) q^{73} +(5.71656 - 8.89513i) q^{74} +(1.20962 - 1.04814i) q^{75} +(0.466894 + 3.24732i) q^{76} +(4.41176 + 4.87747i) q^{77} +(3.79458 - 2.43863i) q^{78} +(2.36541 + 0.340094i) q^{79} +(-1.12550 + 2.46451i) q^{80} +(2.08120 - 4.55719i) q^{81} +(-8.63502 - 1.24153i) q^{82} +(2.53509 - 1.62920i) q^{83} +(1.21369 + 1.34181i) q^{84} +(0.186340 + 1.29602i) q^{85} +(-6.84773 + 5.93359i) q^{86} +(-0.170917 + 0.265951i) q^{87} +(-1.87862 - 1.62783i) q^{88} +(-13.2051 + 3.87737i) q^{89} +(-2.85018 - 6.24102i) q^{90} +(14.8787 + 9.12001i) q^{91} +(2.28094 - 4.21868i) q^{92} -0.464055 q^{93} +(-2.37362 + 1.08399i) q^{94} +(-8.52853 + 2.50420i) q^{95} +(-0.516813 - 0.447821i) q^{96} +(-6.98700 - 4.49027i) q^{97} +(-2.63401 + 6.48552i) q^{98} +(6.23079 - 0.895853i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 80q - 8q^{2} - 8q^{4} - 11q^{7} - 8q^{8} - 6q^{9} + O(q^{10}) \) \( 80q - 8q^{2} - 8q^{4} - 11q^{7} - 8q^{8} - 6q^{9} + 11q^{14} - 8q^{16} - 6q^{18} - 33q^{21} + 18q^{23} - 58q^{25} - 11q^{28} + 16q^{29} + 22q^{30} - 8q^{32} + 47q^{35} + 16q^{36} - 22q^{37} - 30q^{39} - 22q^{42} + 44q^{43} - 4q^{46} + 17q^{49} + 8q^{50} - 88q^{51} + 44q^{53} + 11q^{56} - 22q^{57} - 28q^{58} + 121q^{63} - 8q^{64} - 154q^{65} + 58q^{70} + 42q^{71} - 28q^{72} + 22q^{74} + 38q^{77} + 58q^{78} - 88q^{79} - 26q^{81} - 11q^{84} + 26q^{85} - 132q^{86} + 22q^{88} - 4q^{92} + 152q^{93} - 68q^{95} - 27q^{98} - 44q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/322\mathbb{Z}\right)^\times\).

\(n\) \(185\) \(281\)
\(\chi(n)\) \(-1\) \(e\left(\frac{15}{22}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.415415 + 0.909632i 0.293743 + 0.643207i
\(3\) −0.192661 0.656142i −0.111233 0.378824i 0.884995 0.465600i \(-0.154162\pi\)
−0.996228 + 0.0867767i \(0.972343\pi\)
\(4\) −0.654861 + 0.755750i −0.327430 + 0.377875i
\(5\) −2.27924 1.46478i −1.01931 0.655070i −0.0795230 0.996833i \(-0.525340\pi\)
−0.939786 + 0.341763i \(0.888976\pi\)
\(6\) 0.516813 0.447821i 0.210988 0.182822i
\(7\) 2.42953 + 1.04756i 0.918276 + 0.395941i
\(8\) −0.959493 0.281733i −0.339232 0.0996075i
\(9\) 2.13036 1.36910i 0.710119 0.456366i
\(10\) 0.385580 2.68177i 0.121931 0.848049i
\(11\) 2.26114 + 1.03263i 0.681758 + 0.311348i 0.726022 0.687671i \(-0.241367\pi\)
−0.0442640 + 0.999020i \(0.514094\pi\)
\(12\) 0.622045 + 0.284078i 0.179569 + 0.0820063i
\(13\) 6.52887 + 0.938710i 1.81078 + 0.260351i 0.962905 0.269841i \(-0.0869710\pi\)
0.847878 + 0.530192i \(0.177880\pi\)
\(14\) 0.0563689 + 2.64515i 0.0150652 + 0.706946i
\(15\) −0.521984 + 1.77771i −0.134776 + 0.459004i
\(16\) −0.142315 0.989821i −0.0355787 0.247455i
\(17\) −0.316476 0.365233i −0.0767568 0.0885820i 0.716072 0.698026i \(-0.245938\pi\)
−0.792829 + 0.609444i \(0.791393\pi\)
\(18\) 2.13036 + 1.36910i 0.502130 + 0.322699i
\(19\) 2.14841 2.47940i 0.492879 0.568813i −0.453754 0.891127i \(-0.649915\pi\)
0.946633 + 0.322314i \(0.104461\pi\)
\(20\) 2.59960 0.763310i 0.581287 0.170681i
\(21\) 0.219273 1.79594i 0.0478494 0.391906i
\(22\) 2.48577i 0.529968i
\(23\) −4.68197 + 1.03883i −0.976258 + 0.216610i
\(24\) 0.683842i 0.139589i
\(25\) 0.972297 + 2.12903i 0.194459 + 0.425807i
\(26\) 1.85831 + 6.32882i 0.364445 + 1.24118i
\(27\) −2.85920 2.47751i −0.550253 0.476797i
\(28\) −2.38270 + 1.15011i −0.450287 + 0.217350i
\(29\) −0.302739 0.349379i −0.0562172 0.0648781i 0.726944 0.686696i \(-0.240940\pi\)
−0.783162 + 0.621818i \(0.786394\pi\)
\(30\) −1.83390 + 0.263676i −0.334824 + 0.0481404i
\(31\) 0.191184 0.651111i 0.0343376 0.116943i −0.940541 0.339680i \(-0.889681\pi\)
0.974878 + 0.222737i \(0.0714993\pi\)
\(32\) 0.841254 0.540641i 0.148714 0.0955727i
\(33\) 0.241917 1.68257i 0.0421124 0.292898i
\(34\) 0.200759 0.439600i 0.0344298 0.0753908i
\(35\) −4.00305 5.94638i −0.676638 1.00512i
\(36\) −0.360392 + 2.50658i −0.0600654 + 0.417764i
\(37\) −5.71656 8.89513i −0.939796 1.46235i −0.885939 0.463802i \(-0.846485\pi\)
−0.0538574 0.998549i \(-0.517152\pi\)
\(38\) 3.14782 + 0.924284i 0.510644 + 0.149939i
\(39\) −0.641929 4.46472i −0.102791 0.714927i
\(40\) 1.77424 + 2.04759i 0.280532 + 0.323752i
\(41\) −4.71645 + 7.33894i −0.736586 + 1.14615i 0.247574 + 0.968869i \(0.420367\pi\)
−0.984160 + 0.177281i \(0.943270\pi\)
\(42\) 1.72473 0.546602i 0.266132 0.0843425i
\(43\) 2.55273 + 8.69381i 0.389288 + 1.32579i 0.888326 + 0.459214i \(0.151869\pi\)
−0.499037 + 0.866580i \(0.666313\pi\)
\(44\) −2.26114 + 1.03263i −0.340879 + 0.155674i
\(45\) −6.86103 −1.02278
\(46\) −2.88991 3.82732i −0.426094 0.564308i
\(47\) 2.60942i 0.380624i 0.981724 + 0.190312i \(0.0609499\pi\)
−0.981724 + 0.190312i \(0.939050\pi\)
\(48\) −0.622045 + 0.284078i −0.0897844 + 0.0410032i
\(49\) 4.80523 + 5.09016i 0.686462 + 0.727166i
\(50\) −1.53273 + 1.76886i −0.216761 + 0.250155i
\(51\) −0.178672 + 0.278019i −0.0250191 + 0.0389305i
\(52\) −4.98493 + 4.31947i −0.691285 + 0.599002i
\(53\) −1.06240 + 0.152750i −0.145931 + 0.0209818i −0.214893 0.976638i \(-0.568940\pi\)
0.0689619 + 0.997619i \(0.478031\pi\)
\(54\) 1.06587 3.63001i 0.145046 0.493982i
\(55\) −3.64111 5.66568i −0.490967 0.763960i
\(56\) −2.03599 1.68960i −0.272070 0.225783i
\(57\) −2.04075 0.931979i −0.270304 0.123444i
\(58\) 0.192044 0.420519i 0.0252167 0.0552168i
\(59\) 10.1661 + 1.46166i 1.32351 + 0.190292i 0.767589 0.640943i \(-0.221457\pi\)
0.555921 + 0.831235i \(0.312366\pi\)
\(60\) −1.00168 1.55864i −0.129316 0.201220i
\(61\) −4.83478 1.41962i −0.619030 0.181764i −0.0428436 0.999082i \(-0.513642\pi\)
−0.576187 + 0.817318i \(0.695460\pi\)
\(62\) 0.671692 0.0965748i 0.0853050 0.0122650i
\(63\) 6.60998 1.09459i 0.832779 0.137905i
\(64\) 0.841254 + 0.540641i 0.105157 + 0.0675801i
\(65\) −13.5059 11.7029i −1.67520 1.45157i
\(66\) 1.63102 0.478910i 0.200764 0.0589497i
\(67\) −2.73298 + 1.24811i −0.333886 + 0.152481i −0.575302 0.817941i \(-0.695115\pi\)
0.241416 + 0.970422i \(0.422388\pi\)
\(68\) 0.483273 0.0586054
\(69\) 1.58365 + 2.87189i 0.190649 + 0.345735i
\(70\) 3.74609 6.11151i 0.447743 0.730466i
\(71\) 0.585563 + 1.28220i 0.0694936 + 0.152170i 0.941191 0.337874i \(-0.109708\pi\)
−0.871698 + 0.490044i \(0.836981\pi\)
\(72\) −2.42978 + 0.713448i −0.286353 + 0.0840807i
\(73\) 1.75427 + 1.52008i 0.205322 + 0.177912i 0.751452 0.659788i \(-0.229354\pi\)
−0.546130 + 0.837700i \(0.683900\pi\)
\(74\) 5.71656 8.89513i 0.664536 1.03404i
\(75\) 1.20962 1.04814i 0.139675 0.121029i
\(76\) 0.466894 + 3.24732i 0.0535564 + 0.372493i
\(77\) 4.41176 + 4.87747i 0.502767 + 0.555840i
\(78\) 3.79458 2.43863i 0.429652 0.276120i
\(79\) 2.36541 + 0.340094i 0.266129 + 0.0382636i 0.274088 0.961705i \(-0.411624\pi\)
−0.00795849 + 0.999968i \(0.502533\pi\)
\(80\) −1.12550 + 2.46451i −0.125835 + 0.275540i
\(81\) 2.08120 4.55719i 0.231244 0.506355i
\(82\) −8.63502 1.24153i −0.953578 0.137104i
\(83\) 2.53509 1.62920i 0.278262 0.178828i −0.394065 0.919083i \(-0.628931\pi\)
0.672327 + 0.740255i \(0.265295\pi\)
\(84\) 1.21369 + 1.34181i 0.132424 + 0.146403i
\(85\) 0.186340 + 1.29602i 0.0202114 + 0.140574i
\(86\) −6.84773 + 5.93359i −0.738409 + 0.639835i
\(87\) −0.170917 + 0.265951i −0.0183242 + 0.0285130i
\(88\) −1.87862 1.62783i −0.200262 0.173528i
\(89\) −13.2051 + 3.87737i −1.39974 + 0.411000i −0.892594 0.450861i \(-0.851117\pi\)
−0.507144 + 0.861862i \(0.669299\pi\)
\(90\) −2.85018 6.24102i −0.300435 0.657861i
\(91\) 14.8787 + 9.12001i 1.55971 + 0.956037i
\(92\) 2.28094 4.21868i 0.237805 0.439828i
\(93\) −0.464055 −0.0481202
\(94\) −2.37362 + 1.08399i −0.244820 + 0.111805i
\(95\) −8.52853 + 2.50420i −0.875009 + 0.256926i
\(96\) −0.516813 0.447821i −0.0527470 0.0457056i
\(97\) −6.98700 4.49027i −0.709422 0.455918i 0.135521 0.990775i \(-0.456729\pi\)
−0.844943 + 0.534857i \(0.820366\pi\)
\(98\) −2.63401 + 6.48552i −0.266075 + 0.655137i
\(99\) 6.23079 0.895853i 0.626218 0.0900366i
\(100\) −2.24573 0.659407i −0.224573 0.0659407i
\(101\) −9.28249 14.4438i −0.923642 1.43721i −0.899212 0.437513i \(-0.855859\pi\)
−0.0244299 0.999702i \(-0.507777\pi\)
\(102\) −0.327118 0.0470325i −0.0323895 0.00465691i
\(103\) −4.51847 + 9.89406i −0.445218 + 0.974891i 0.545393 + 0.838180i \(0.316380\pi\)
−0.990611 + 0.136711i \(0.956347\pi\)
\(104\) −5.99994 2.74008i −0.588342 0.268687i
\(105\) −3.13044 + 3.77220i −0.305499 + 0.368129i
\(106\) −0.580282 0.902936i −0.0563619 0.0877009i
\(107\) 4.39257 14.9597i 0.424646 1.44621i −0.418348 0.908287i \(-0.637391\pi\)
0.842993 0.537924i \(-0.180791\pi\)
\(108\) 3.74475 0.538414i 0.360339 0.0518089i
\(109\) −4.22544 + 3.66137i −0.404724 + 0.350695i −0.833310 0.552806i \(-0.813557\pi\)
0.428586 + 0.903501i \(0.359012\pi\)
\(110\) 3.64111 5.66568i 0.347166 0.540201i
\(111\) −4.73511 + 5.46461i −0.449437 + 0.518678i
\(112\) 0.691140 2.55388i 0.0653065 0.241319i
\(113\) −6.85120 + 3.12884i −0.644506 + 0.294336i −0.710726 0.703469i \(-0.751633\pi\)
0.0662197 + 0.997805i \(0.478906\pi\)
\(114\) 2.24349i 0.210122i
\(115\) 12.1930 + 4.49032i 1.13700 + 0.418725i
\(116\) 0.462295 0.0429230
\(117\) 15.1940 6.93887i 1.40469 0.641499i
\(118\) 2.89357 + 9.85458i 0.266374 + 0.907188i
\(119\) −0.386285 1.21887i −0.0354107 0.111734i
\(120\) 1.00168 1.55864i 0.0914404 0.142284i
\(121\) −3.15705 3.64343i −0.287005 0.331221i
\(122\) −0.717109 4.98760i −0.0649240 0.451556i
\(123\) 5.72406 + 1.68074i 0.516121 + 0.151547i
\(124\) 0.366879 + 0.570874i 0.0329467 + 0.0512660i
\(125\) −1.02543 + 7.13204i −0.0917175 + 0.637909i
\(126\) 3.74155 + 5.55794i 0.333324 + 0.495141i
\(127\) −4.42929 + 9.69879i −0.393036 + 0.860628i 0.604893 + 0.796306i \(0.293216\pi\)
−0.997929 + 0.0643220i \(0.979512\pi\)
\(128\) −0.142315 + 0.989821i −0.0125790 + 0.0874887i
\(129\) 5.21256 3.34991i 0.458940 0.294943i
\(130\) 5.03480 17.1470i 0.441581 1.50389i
\(131\) 8.09460 1.16383i 0.707229 0.101684i 0.220691 0.975344i \(-0.429169\pi\)
0.486538 + 0.873660i \(0.338260\pi\)
\(132\) 1.11318 + 1.28468i 0.0968899 + 0.111817i
\(133\) 7.81695 3.77318i 0.677815 0.327176i
\(134\) −2.27064 1.96752i −0.196153 0.169968i
\(135\) 2.88780 + 9.83495i 0.248542 + 0.846458i
\(136\) 0.200759 + 0.439600i 0.0172149 + 0.0376954i
\(137\) 1.23613i 0.105610i 0.998605 + 0.0528049i \(0.0168162\pi\)
−0.998605 + 0.0528049i \(0.983184\pi\)
\(138\) −1.95450 + 2.63357i −0.166378 + 0.224184i
\(139\) 18.2415i 1.54722i −0.633660 0.773612i \(-0.718448\pi\)
0.633660 0.773612i \(-0.281552\pi\)
\(140\) 7.11541 + 0.868749i 0.601362 + 0.0734227i
\(141\) 1.71215 0.502733i 0.144189 0.0423378i
\(142\) −0.923082 + 1.06529i −0.0774634 + 0.0893975i
\(143\) 13.7933 + 8.86443i 1.15346 + 0.741281i
\(144\) −1.65834 1.91383i −0.138195 0.159486i
\(145\) 0.178252 + 1.23977i 0.0148030 + 0.102957i
\(146\) −0.653966 + 2.22720i −0.0541226 + 0.184325i
\(147\) 2.41409 4.13359i 0.199110 0.340933i
\(148\) 10.4660 + 1.50479i 0.860303 + 0.123693i
\(149\) −14.7770 6.74842i −1.21058 0.552852i −0.295195 0.955437i \(-0.595385\pi\)
−0.915383 + 0.402585i \(0.868112\pi\)
\(150\) 1.45592 + 0.664897i 0.118876 + 0.0542886i
\(151\) −2.64384 + 18.3883i −0.215152 + 1.49642i 0.540444 + 0.841380i \(0.318256\pi\)
−0.755596 + 0.655037i \(0.772653\pi\)
\(152\) −2.75991 + 1.77369i −0.223858 + 0.143865i
\(153\) −1.17425 0.344790i −0.0949323 0.0278746i
\(154\) −2.60399 + 6.03925i −0.209836 + 0.486657i
\(155\) −1.38949 + 1.20400i −0.111607 + 0.0967076i
\(156\) 3.79458 + 2.43863i 0.303810 + 0.195247i
\(157\) −12.9238 + 14.9149i −1.03143 + 1.19034i −0.0499556 + 0.998751i \(0.515908\pi\)
−0.981476 + 0.191584i \(0.938637\pi\)
\(158\) 0.673265 + 2.29293i 0.0535621 + 0.182416i
\(159\) 0.304907 + 0.667654i 0.0241807 + 0.0529484i
\(160\) −2.70934 −0.214192
\(161\) −12.4632 2.38078i −0.982239 0.187632i
\(162\) 5.00993 0.393617
\(163\) 6.45070 + 14.1251i 0.505258 + 1.10636i 0.974725 + 0.223410i \(0.0717189\pi\)
−0.469467 + 0.882950i \(0.655554\pi\)
\(164\) −2.45778 8.37044i −0.191921 0.653621i
\(165\) −3.01599 + 3.48064i −0.234794 + 0.270967i
\(166\) 2.53509 + 1.62920i 0.196761 + 0.126451i
\(167\) −2.68288 + 2.32473i −0.207608 + 0.179893i −0.752458 0.658640i \(-0.771132\pi\)
0.544850 + 0.838533i \(0.316586\pi\)
\(168\) −0.716366 + 1.66141i −0.0552688 + 0.128181i
\(169\) 29.2716 + 8.59490i 2.25166 + 0.661147i
\(170\) −1.10150 + 0.707889i −0.0844809 + 0.0542926i
\(171\) 1.18234 8.22338i 0.0904161 0.628858i
\(172\) −8.24203 3.76401i −0.628449 0.287003i
\(173\) 12.6985 + 5.79922i 0.965450 + 0.440906i 0.834819 0.550525i \(-0.185572\pi\)
0.130631 + 0.991431i \(0.458300\pi\)
\(174\) −0.312919 0.0449910i −0.0237223 0.00341076i
\(175\) 0.131934 + 6.19109i 0.00997326 + 0.468002i
\(176\) 0.700322 2.38508i 0.0527888 0.179782i
\(177\) −0.999545 6.95199i −0.0751304 0.522543i
\(178\) −9.01257 10.4011i −0.675521 0.779593i
\(179\) 10.2911 + 6.61367i 0.769191 + 0.494329i 0.865431 0.501029i \(-0.167045\pi\)
−0.0962391 + 0.995358i \(0.530681\pi\)
\(180\) 4.49302 5.18522i 0.334890 0.386484i
\(181\) 24.2453 7.11905i 1.80214 0.529155i 0.804259 0.594279i \(-0.202562\pi\)
0.997877 + 0.0651239i \(0.0207443\pi\)
\(182\) −2.11500 + 17.3228i −0.156775 + 1.28405i
\(183\) 3.44581i 0.254721i
\(184\) 4.78499 + 0.322316i 0.352754 + 0.0237615i
\(185\) 28.6477i 2.10622i
\(186\) −0.192775 0.422119i −0.0141350 0.0309513i
\(187\) −0.338447 1.15264i −0.0247497 0.0842896i
\(188\) −1.97207 1.70881i −0.143828 0.124628i
\(189\) −4.35117 9.01436i −0.316501 0.655698i
\(190\) −5.82078 6.71754i −0.422284 0.487342i
\(191\) −18.3793 + 2.64254i −1.32988 + 0.191208i −0.770359 0.637610i \(-0.779923\pi\)
−0.559519 + 0.828817i \(0.689014\pi\)
\(192\) 0.192661 0.656142i 0.0139041 0.0473529i
\(193\) −6.66680 + 4.28449i −0.479887 + 0.308404i −0.758127 0.652107i \(-0.773885\pi\)
0.278240 + 0.960512i \(0.410249\pi\)
\(194\) 1.18199 8.22092i 0.0848620 0.590228i
\(195\) −5.07672 + 11.1165i −0.363551 + 0.796067i
\(196\) −6.99365 + 0.298208i −0.499546 + 0.0213006i
\(197\) −0.476714 + 3.31562i −0.0339644 + 0.236228i −0.999731 0.0231840i \(-0.992620\pi\)
0.965767 + 0.259412i \(0.0835287\pi\)
\(198\) 3.40326 + 5.29558i 0.241859 + 0.376340i
\(199\) −25.9450 7.61814i −1.83919 0.540036i −0.839201 0.543822i \(-0.816977\pi\)
−0.999993 + 0.00378577i \(0.998795\pi\)
\(200\) −0.333094 2.31672i −0.0235533 0.163817i
\(201\) 1.34547 + 1.55276i 0.0949023 + 0.109523i
\(202\) 9.28249 14.4438i 0.653113 1.01626i
\(203\) −0.369517 1.16597i −0.0259350 0.0818347i
\(204\) −0.0931076 0.317095i −0.00651883 0.0222011i
\(205\) 21.4999 9.81867i 1.50162 0.685766i
\(206\) −10.8770 −0.757836
\(207\) −8.55201 + 8.62314i −0.594406 + 0.599350i
\(208\) 6.59601i 0.457351i
\(209\) 7.41814 3.38775i 0.513123 0.234336i
\(210\) −4.73174 1.28052i −0.326521 0.0883641i
\(211\) 2.16149 2.49449i 0.148803 0.171728i −0.676455 0.736484i \(-0.736485\pi\)
0.825257 + 0.564757i \(0.191030\pi\)
\(212\) 0.580282 0.902936i 0.0398539 0.0620139i
\(213\) 0.728493 0.631243i 0.0499155 0.0432520i
\(214\) 15.4326 2.21887i 1.05495 0.151679i
\(215\) 6.91623 23.5545i 0.471683 1.60641i
\(216\) 2.04538 + 3.18268i 0.139171 + 0.216554i
\(217\) 1.14656 1.38162i 0.0778339 0.0937904i
\(218\) −5.08581 2.32261i −0.344454 0.157307i
\(219\) 0.659411 1.44391i 0.0445589 0.0975703i
\(220\) 6.66625 + 0.958463i 0.449439 + 0.0646195i
\(221\) −1.72338 2.68164i −0.115927 0.180387i
\(222\) −6.93782 2.03713i −0.465636 0.136723i
\(223\) −1.88898 + 0.271595i −0.126496 + 0.0181873i −0.205272 0.978705i \(-0.565808\pi\)
0.0787762 + 0.996892i \(0.474899\pi\)
\(224\) 2.61020 0.432239i 0.174402 0.0288802i
\(225\) 4.98619 + 3.20443i 0.332413 + 0.213629i
\(226\) −5.69218 4.93230i −0.378638 0.328092i
\(227\) −0.507347 + 0.148971i −0.0336738 + 0.00988753i −0.298526 0.954401i \(-0.596495\pi\)
0.264852 + 0.964289i \(0.414677\pi\)
\(228\) 2.04075 0.931979i 0.135152 0.0617218i
\(229\) 6.77366 0.447616 0.223808 0.974633i \(-0.428151\pi\)
0.223808 + 0.974633i \(0.428151\pi\)
\(230\) 0.980618 + 12.9565i 0.0646601 + 0.854326i
\(231\) 2.35034 3.83444i 0.154641 0.252287i
\(232\) 0.192044 + 0.420519i 0.0126083 + 0.0276084i
\(233\) −8.89170 + 2.61084i −0.582515 + 0.171042i −0.559696 0.828698i \(-0.689082\pi\)
−0.0228185 + 0.999740i \(0.507264\pi\)
\(234\) 12.6236 + 10.9384i 0.825233 + 0.715068i
\(235\) 3.82224 5.94752i 0.249335 0.387973i
\(236\) −7.76201 + 6.72582i −0.505264 + 0.437814i
\(237\) −0.232571 1.61756i −0.0151071 0.105072i
\(238\) 0.948257 0.857715i 0.0614664 0.0555974i
\(239\) 18.7157 12.0279i 1.21062 0.778018i 0.229857 0.973224i \(-0.426174\pi\)
0.980762 + 0.195206i \(0.0625377\pi\)
\(240\) 1.83390 + 0.263676i 0.118378 + 0.0170202i
\(241\) 9.57050 20.9565i 0.616490 1.34993i −0.301555 0.953449i \(-0.597506\pi\)
0.918045 0.396476i \(-0.129767\pi\)
\(242\) 2.00269 4.38529i 0.128738 0.281897i
\(243\) −14.6254 2.10281i −0.938219 0.134895i
\(244\) 4.23899 2.72423i 0.271373 0.174401i
\(245\) −3.49633 18.6403i −0.223373 1.19089i
\(246\) 0.849009 + 5.90499i 0.0541308 + 0.376488i
\(247\) 16.3541 14.1709i 1.04059 0.901675i
\(248\) −0.366879 + 0.570874i −0.0232968 + 0.0362505i
\(249\) −1.55740 1.34949i −0.0986961 0.0855207i
\(250\) −6.91351 + 2.02999i −0.437249 + 0.128388i
\(251\) 7.64647 + 16.7434i 0.482641 + 1.05684i 0.981729 + 0.190285i \(0.0609411\pi\)
−0.499088 + 0.866551i \(0.666332\pi\)
\(252\) −3.50138 + 5.71229i −0.220566 + 0.359840i
\(253\) −11.6593 2.48580i −0.733013 0.156281i
\(254\) −10.6623 −0.669014
\(255\) 0.814475 0.371958i 0.0510044 0.0232929i
\(256\) −0.959493 + 0.281733i −0.0599683 + 0.0176083i
\(257\) 10.4014 + 9.01283i 0.648819 + 0.562205i 0.915869 0.401478i \(-0.131503\pi\)
−0.267050 + 0.963683i \(0.586049\pi\)
\(258\) 5.21256 + 3.34991i 0.324520 + 0.208556i
\(259\) −4.57035 27.5994i −0.283988 1.71495i
\(260\) 17.6890 2.54329i 1.09702 0.157728i
\(261\) −1.12328 0.329824i −0.0695291 0.0204156i
\(262\) 4.42128 + 6.87964i 0.273147 + 0.425026i
\(263\) −7.32774 1.05357i −0.451848 0.0649659i −0.0873659 0.996176i \(-0.527845\pi\)
−0.364482 + 0.931210i \(0.618754\pi\)
\(264\) −0.706153 + 1.54626i −0.0434607 + 0.0951657i
\(265\) 2.64521 + 1.20803i 0.162494 + 0.0742085i
\(266\) 6.67948 + 5.54311i 0.409545 + 0.339870i
\(267\) 5.08820 + 7.91740i 0.311393 + 0.484537i
\(268\) 0.846462 2.88278i 0.0517059 0.176094i
\(269\) −31.0752 + 4.46794i −1.89469 + 0.272415i −0.988588 0.150644i \(-0.951865\pi\)
−0.906102 + 0.423059i \(0.860956\pi\)
\(270\) −7.74655 + 6.71242i −0.471440 + 0.408505i
\(271\) −8.71504 + 13.5609i −0.529401 + 0.823764i −0.998227 0.0595270i \(-0.981041\pi\)
0.468826 + 0.883291i \(0.344677\pi\)
\(272\) −0.316476 + 0.365233i −0.0191892 + 0.0221455i
\(273\) 3.11747 11.5196i 0.188678 0.697199i
\(274\) −1.12443 + 0.513508i −0.0679290 + 0.0310221i
\(275\) 5.81805i 0.350842i
\(276\) −3.20750 0.683849i −0.193069 0.0411629i
\(277\) −22.1887 −1.33319 −0.666593 0.745421i \(-0.732248\pi\)
−0.666593 + 0.745421i \(0.732248\pi\)
\(278\) 16.5931 7.57779i 0.995185 0.454486i
\(279\) −0.484146 1.64885i −0.0289850 0.0987140i
\(280\) 2.16561 + 6.83330i 0.129420 + 0.408368i
\(281\) 6.72942 10.4712i 0.401444 0.624658i −0.580404 0.814328i \(-0.697105\pi\)
0.981848 + 0.189670i \(0.0607418\pi\)
\(282\) 1.16856 + 1.34859i 0.0695865 + 0.0803071i
\(283\) −1.67485 11.6488i −0.0995595 0.692452i −0.977074 0.212901i \(-0.931709\pi\)
0.877514 0.479551i \(-0.159200\pi\)
\(284\) −1.35249 0.397126i −0.0802554 0.0235651i
\(285\) 3.28622 + 5.11346i 0.194659 + 0.302895i
\(286\) −2.33342 + 16.2293i −0.137978 + 0.959657i
\(287\) −19.1467 + 12.8894i −1.13020 + 0.760838i
\(288\) 1.05198 2.30352i 0.0619885 0.135736i
\(289\) 2.38611 16.5958i 0.140360 0.976223i
\(290\) −1.05368 + 0.677162i −0.0618745 + 0.0397643i
\(291\) −1.60013 + 5.44956i −0.0938016 + 0.319459i
\(292\) −2.29760 + 0.330345i −0.134457 + 0.0193320i
\(293\) −6.68912 7.71966i −0.390783 0.450987i 0.525934 0.850525i \(-0.323716\pi\)
−0.916717 + 0.399538i \(0.869170\pi\)
\(294\) 4.76289 + 0.478776i 0.277777 + 0.0279228i
\(295\) −21.0300 18.2226i −1.22441 1.06096i
\(296\) 2.97895 + 10.1454i 0.173148 + 0.589687i
\(297\) −3.90669 8.55446i −0.226689 0.496380i
\(298\) 16.2450i 0.941048i
\(299\) −31.5431 + 2.38736i −1.82419 + 0.138064i
\(300\) 1.60056i 0.0924085i
\(301\) −2.90535 + 23.7960i −0.167462 + 1.37158i
\(302\) −17.8249 + 5.23385i −1.02571 + 0.301174i
\(303\) −7.68883 + 8.87338i −0.441712 + 0.509762i
\(304\) −2.75991 1.77369i −0.158292 0.101728i
\(305\) 8.94022 + 10.3176i 0.511915 + 0.590782i
\(306\) −0.174168 1.21136i −0.00995651 0.0692491i
\(307\) 3.49689 11.9093i 0.199578 0.679701i −0.797500 0.603318i \(-0.793845\pi\)
0.997079 0.0763824i \(-0.0243370\pi\)
\(308\) −6.57524 + 0.140120i −0.374659 + 0.00798408i
\(309\) 7.36244 + 1.05856i 0.418834 + 0.0602193i
\(310\) −1.67241 0.763765i −0.0949866 0.0433789i
\(311\) 6.71748 + 3.06777i 0.380913 + 0.173957i 0.596664 0.802491i \(-0.296493\pi\)
−0.215751 + 0.976449i \(0.569220\pi\)
\(312\) −0.641929 + 4.46472i −0.0363421 + 0.252765i
\(313\) −7.44100 + 4.78204i −0.420590 + 0.270297i −0.733771 0.679396i \(-0.762242\pi\)
0.313181 + 0.949693i \(0.398605\pi\)
\(314\) −18.9358 5.56005i −1.06861 0.313772i
\(315\) −16.6691 7.18735i −0.939197 0.404961i
\(316\) −1.80604 + 1.56494i −0.101598 + 0.0880348i
\(317\) −2.24546 1.44307i −0.126118 0.0810508i 0.476061 0.879412i \(-0.342064\pi\)
−0.602179 + 0.798361i \(0.705700\pi\)
\(318\) −0.480656 + 0.554707i −0.0269539 + 0.0311064i
\(319\) −0.323756 1.10261i −0.0181268 0.0617343i
\(320\) −1.12550 2.46451i −0.0629175 0.137770i
\(321\) −10.6620 −0.595093
\(322\) −3.01177 12.3260i −0.167839 0.686899i
\(323\) −1.58548 −0.0882184
\(324\) 2.08120 + 4.55719i 0.115622 + 0.253177i
\(325\) 4.34945 + 14.8129i 0.241264 + 0.821671i
\(326\) −10.1689 + 11.7355i −0.563203 + 0.649971i
\(327\) 3.21645 + 2.06709i 0.177870 + 0.114310i
\(328\) 6.59302 5.71288i 0.364039 0.315441i
\(329\) −2.73353 + 6.33968i −0.150704 + 0.349518i
\(330\) −4.41899 1.29753i −0.243257 0.0714267i
\(331\) 26.5363 17.0539i 1.45857 0.937365i 0.459786 0.888030i \(-0.347926\pi\)
0.998782 0.0493353i \(-0.0157103\pi\)
\(332\) −0.428861 + 2.98279i −0.0235368 + 0.163702i
\(333\) −24.3566 11.1233i −1.33473 0.609553i
\(334\) −3.22916 1.47471i −0.176692 0.0806924i
\(335\) 8.05733 + 1.15847i 0.440219 + 0.0632939i
\(336\) −1.80887 + 0.0385474i −0.0986817 + 0.00210293i
\(337\) −2.57416 + 8.76679i −0.140224 + 0.477558i −0.999419 0.0340904i \(-0.989147\pi\)
0.859195 + 0.511648i \(0.170965\pi\)
\(338\) 4.34164 + 30.1968i 0.236154 + 1.64249i
\(339\) 3.37292 + 3.89255i 0.183192 + 0.211414i
\(340\) −1.10150 0.707889i −0.0597371 0.0383907i
\(341\) 1.10465 1.27483i 0.0598200 0.0690359i
\(342\) 7.97142 2.34062i 0.431045 0.126566i
\(343\) 6.34221 + 17.4005i 0.342447 + 0.939537i
\(344\) 9.06084i 0.488528i
\(345\) 0.597175 8.86545i 0.0321508 0.477300i
\(346\) 13.9601i 0.750497i
\(347\) 12.4322 + 27.2228i 0.667397 + 1.46140i 0.875465 + 0.483282i \(0.160555\pi\)
−0.208068 + 0.978114i \(0.566717\pi\)
\(348\) −0.0890661 0.303331i −0.00477444 0.0162603i
\(349\) 3.58646 + 3.10769i 0.191979 + 0.166351i 0.745547 0.666454i \(-0.232189\pi\)
−0.553568 + 0.832804i \(0.686734\pi\)
\(350\) −5.57681 + 2.69188i −0.298093 + 0.143887i
\(351\) −16.3417 18.8593i −0.872254 1.00663i
\(352\) 2.46047 0.353762i 0.131143 0.0188556i
\(353\) 6.77661 23.0790i 0.360683 1.22837i −0.556817 0.830635i \(-0.687977\pi\)
0.917499 0.397737i \(-0.130204\pi\)
\(354\) 5.90852 3.79718i 0.314034 0.201818i
\(355\) 0.543508 3.78018i 0.0288464 0.200631i
\(356\) 5.71718 12.5189i 0.303010 0.663499i
\(357\) −0.725331 + 0.488286i −0.0383886 + 0.0258429i
\(358\) −1.74094 + 12.1085i −0.0920116 + 0.639955i
\(359\) −7.35459 11.4440i −0.388161 0.603990i 0.591099 0.806599i \(-0.298694\pi\)
−0.979260 + 0.202609i \(0.935058\pi\)
\(360\) 6.58311 + 1.93298i 0.346961 + 0.101877i
\(361\) 1.17224 + 8.15308i 0.0616966 + 0.429110i
\(362\) 16.5476 + 19.0969i 0.869721 + 1.00371i
\(363\) −1.78237 + 2.77342i −0.0935500 + 0.145567i
\(364\) −16.6359 + 5.27226i −0.871960 + 0.276341i
\(365\) −1.77182 6.03426i −0.0927412 0.315848i
\(366\) −3.13442 + 1.43144i −0.163839 + 0.0748225i
\(367\) 24.1957 1.26301 0.631503 0.775374i \(-0.282438\pi\)
0.631503 + 0.775374i \(0.282438\pi\)
\(368\) 1.69457 + 4.48647i 0.0883354 + 0.233874i
\(369\) 22.0918i 1.15006i
\(370\) −26.0589 + 11.9007i −1.35474 + 0.618687i
\(371\) −2.74114 0.741815i −0.142313 0.0385131i
\(372\) 0.303891 0.350709i 0.0157560 0.0181834i
\(373\) −8.91208 + 13.8675i −0.461450 + 0.718030i −0.991524 0.129921i \(-0.958528\pi\)
0.530074 + 0.847951i \(0.322164\pi\)
\(374\) 0.907885 0.786687i 0.0469456 0.0406786i
\(375\) 4.87719 0.701234i 0.251857 0.0362116i
\(376\) 0.735160 2.50372i 0.0379130 0.129120i
\(377\) −1.64858 2.56524i −0.0849061 0.132116i
\(378\) 6.39221 7.70266i 0.328780 0.396182i
\(379\) −22.2731 10.1718i −1.14409 0.522488i −0.249057 0.968489i \(-0.580121\pi\)
−0.895033 + 0.446000i \(0.852848\pi\)
\(380\) 3.69245 8.08534i 0.189419 0.414769i
\(381\) 7.21713 + 1.03767i 0.369745 + 0.0531613i
\(382\) −10.0388 15.6206i −0.513628 0.799221i
\(383\) 7.95379 + 2.33544i 0.406420 + 0.119336i 0.478551 0.878060i \(-0.341162\pi\)
−0.0721318 + 0.997395i \(0.522980\pi\)
\(384\) 0.676881 0.0973209i 0.0345420 0.00496638i
\(385\) −2.91105 17.5792i −0.148361 0.895920i
\(386\) −6.66680 4.28449i −0.339331 0.218075i
\(387\) 17.3409 + 15.0260i 0.881488 + 0.763814i
\(388\) 7.96903 2.33992i 0.404566 0.118791i
\(389\) 26.3612 12.0387i 1.33656 0.610388i 0.386455 0.922308i \(-0.373699\pi\)
0.950108 + 0.311920i \(0.100972\pi\)
\(390\) −12.2208 −0.618826
\(391\) 1.86115 + 1.38125i 0.0941222 + 0.0698526i
\(392\) −3.17653 6.23776i −0.160439 0.315055i
\(393\) −2.32315 5.08698i −0.117187 0.256604i
\(394\) −3.21402 + 0.943723i −0.161920 + 0.0475441i
\(395\) −4.89318 4.23996i −0.246202 0.213336i
\(396\) −3.40326 + 5.29558i −0.171020 + 0.266113i
\(397\) −3.13376 + 2.71542i −0.157279 + 0.136283i −0.729945 0.683506i \(-0.760455\pi\)
0.572666 + 0.819789i \(0.305909\pi\)
\(398\) −3.84824 26.7651i −0.192895 1.34161i
\(399\) −3.98176 4.40208i −0.199337 0.220380i
\(400\) 1.96899 1.26539i 0.0984495 0.0632697i
\(401\) 27.2623 + 3.91973i 1.36142 + 0.195742i 0.784027 0.620727i \(-0.213163\pi\)
0.577389 + 0.816469i \(0.304072\pi\)
\(402\) −0.853509 + 1.86892i −0.0425692 + 0.0932135i
\(403\) 1.85942 4.07156i 0.0926242 0.202819i
\(404\) 16.9947 + 2.44346i 0.845516 + 0.121567i
\(405\) −11.4189 + 7.33845i −0.567407 + 0.364651i
\(406\) 0.907096 0.820484i 0.0450184 0.0407200i
\(407\) −3.74056 26.0162i −0.185413 1.28957i
\(408\) 0.249762 0.216420i 0.0123650 0.0107144i
\(409\) 9.81689 15.2754i 0.485414 0.755319i −0.509012 0.860760i \(-0.669989\pi\)
0.994426 + 0.105441i \(0.0336254\pi\)
\(410\) 17.8628 + 15.4782i 0.882179 + 0.764412i
\(411\) 0.811077 0.238154i 0.0400075 0.0117473i
\(412\) −4.51847 9.89406i −0.222609 0.487445i
\(413\) 23.1676 + 14.2007i 1.14000 + 0.698772i
\(414\) −11.3965 4.19700i −0.560108 0.206271i
\(415\) −8.16451 −0.400780
\(416\) 5.99994 2.74008i 0.294171 0.134344i
\(417\) −11.9690 + 3.51442i −0.586125 + 0.172102i
\(418\) 6.16321 + 5.34045i 0.301453 + 0.261210i
\(419\) −24.2785 15.6029i −1.18608 0.762249i −0.209588 0.977790i \(-0.567212\pi\)
−0.976495 + 0.215540i \(0.930849\pi\)
\(420\) −0.800837 4.83609i −0.0390768 0.235977i
\(421\) −0.553350 + 0.0795597i −0.0269686 + 0.00387750i −0.155786 0.987791i \(-0.549791\pi\)
0.128817 + 0.991668i \(0.458882\pi\)
\(422\) 3.16698 + 0.929909i 0.154166 + 0.0452673i
\(423\) 3.57256 + 5.55901i 0.173704 + 0.270288i
\(424\) 1.06240 + 0.152750i 0.0515946 + 0.00741818i
\(425\) 0.469884 1.02890i 0.0227927 0.0499091i
\(426\) 0.876825 + 0.400433i 0.0424823 + 0.0194010i
\(427\) −10.2591 8.51374i −0.496473 0.412009i
\(428\) 8.42928 + 13.1162i 0.407445 + 0.633996i
\(429\) 3.15889 10.7582i 0.152513 0.519411i
\(430\) 24.2991 3.49368i 1.17180 0.168480i
\(431\) 7.37656 6.39183i 0.355316 0.307883i −0.458851 0.888513i \(-0.651739\pi\)
0.814168 + 0.580630i \(0.197194\pi\)
\(432\) −2.04538 + 3.18268i −0.0984086 + 0.153127i
\(433\) −17.1525 + 19.7951i −0.824299 + 0.951292i −0.999447 0.0332504i \(-0.989414\pi\)
0.175148 + 0.984542i \(0.443960\pi\)
\(434\) 1.73306 + 0.469007i 0.0831898 + 0.0225131i
\(435\) 0.779121 0.355813i 0.0373560 0.0170599i
\(436\) 5.59106i 0.267763i
\(437\) −7.48313 + 13.8403i −0.357966 + 0.662071i
\(438\) 1.58735 0.0758467
\(439\) 8.50418 3.88373i 0.405882 0.185360i −0.202003 0.979385i \(-0.564745\pi\)
0.607886 + 0.794025i \(0.292018\pi\)
\(440\) 1.89741 + 6.46200i 0.0904556 + 0.308064i
\(441\) 17.2058 + 4.26502i 0.819323 + 0.203096i
\(442\) 1.72338 2.68164i 0.0819731 0.127553i
\(443\) 25.0694 + 28.9316i 1.19108 + 1.37458i 0.909847 + 0.414943i \(0.136198\pi\)
0.281235 + 0.959639i \(0.409256\pi\)
\(444\) −1.02904 7.15712i −0.0488360 0.339662i
\(445\) 35.7772 + 10.5051i 1.69600 + 0.497990i
\(446\) −1.03176 1.60545i −0.0488554 0.0760204i
\(447\) −1.58098 + 10.9959i −0.0747777 + 0.520091i
\(448\) 1.47750 + 2.19477i 0.0698052 + 0.103693i
\(449\) −0.113179 + 0.247827i −0.00534124 + 0.0116957i −0.912284 0.409559i \(-0.865683\pi\)
0.906943 + 0.421254i \(0.138410\pi\)
\(450\) −0.843514 + 5.86677i −0.0397636 + 0.276562i
\(451\) −18.2429 + 11.7240i −0.859025 + 0.552062i
\(452\) 2.12196 7.22674i 0.0998087 0.339917i
\(453\) 12.5747 1.80797i 0.590810 0.0849457i
\(454\) −0.346268 0.399615i −0.0162512 0.0187548i
\(455\) −20.5535 42.5808i −0.963561 1.99622i
\(456\) 1.69552 + 1.46917i 0.0793998 + 0.0688003i
\(457\) 6.13171 + 20.8827i 0.286829 + 0.976851i 0.969288 + 0.245927i \(0.0790925\pi\)
−0.682459 + 0.730924i \(0.739089\pi\)
\(458\) 2.81388 + 6.16154i 0.131484 + 0.287910i
\(459\) 1.82835i 0.0853399i
\(460\) −11.3783 + 6.27433i −0.530515 + 0.292542i
\(461\) 15.4048i 0.717474i −0.933439 0.358737i \(-0.883208\pi\)
0.933439 0.358737i \(-0.116792\pi\)
\(462\) 4.46429 + 0.545063i 0.207698 + 0.0253586i
\(463\) −9.47252 + 2.78138i −0.440225 + 0.129262i −0.494332 0.869273i \(-0.664587\pi\)
0.0541064 + 0.998535i \(0.482769\pi\)
\(464\) −0.302739 + 0.349379i −0.0140543 + 0.0162195i
\(465\) 1.05769 + 0.679739i 0.0490494 + 0.0315221i
\(466\) −6.06865 7.00359i −0.281125 0.324435i
\(467\) −1.87302 13.0271i −0.0866731 0.602825i −0.986150 0.165856i \(-0.946961\pi\)
0.899477 0.436968i \(-0.143948\pi\)
\(468\) −4.70591 + 16.0269i −0.217531 + 0.740842i
\(469\) −7.94732 + 0.169359i −0.366973 + 0.00782029i
\(470\) 6.99787 + 1.00614i 0.322788 + 0.0464098i
\(471\) 12.2762 + 5.60634i 0.565656 + 0.258326i
\(472\) −9.34248 4.26657i −0.430022 0.196385i
\(473\) −3.20538 + 22.2939i −0.147384 + 1.02508i
\(474\) 1.37477 0.883514i 0.0631455 0.0405812i
\(475\) 7.36761 + 2.16333i 0.338049 + 0.0992602i
\(476\) 1.17413 + 0.506257i 0.0538160 + 0.0232043i
\(477\) −2.05416 + 1.77994i −0.0940533 + 0.0814977i
\(478\) 18.7157 + 12.0279i 0.856037 + 0.550142i
\(479\) 19.7035 22.7391i 0.900277 1.03898i −0.0987601 0.995111i \(-0.531488\pi\)
0.999038 0.0438642i \(-0.0139669\pi\)
\(480\) 0.521984 + 1.77771i 0.0238252 + 0.0811411i
\(481\) −28.9727 63.4414i −1.32104 2.89268i
\(482\) 23.0384 1.04937
\(483\) 0.839039 + 8.63632i 0.0381776 + 0.392966i
\(484\) 4.82095 0.219134
\(485\) 9.34781 + 20.4689i 0.424462 + 0.929443i
\(486\) −4.16282 14.1773i −0.188829 0.643093i
\(487\) −3.25389 + 3.75518i −0.147448 + 0.170164i −0.824669 0.565616i \(-0.808639\pi\)
0.677221 + 0.735779i \(0.263184\pi\)
\(488\) 4.23899 + 2.72423i 0.191890 + 0.123320i
\(489\) 8.02525 6.95391i 0.362914 0.314467i
\(490\) 15.5034 10.9239i 0.700373 0.493489i
\(491\) 24.0254 + 7.05451i 1.08425 + 0.318366i 0.774579 0.632477i \(-0.217962\pi\)
0.309674 + 0.950843i \(0.399780\pi\)
\(492\) −5.01868 + 3.22531i −0.226259 + 0.145408i
\(493\) −0.0317952 + 0.221141i −0.00143198 + 0.00995967i
\(494\) 19.6841 + 8.98942i 0.885629 + 0.404453i
\(495\) −15.5137 7.08488i −0.697290 0.318442i
\(496\) −0.671692 0.0965748i −0.0301599 0.00433634i
\(497\) 0.0794568 + 3.72857i 0.00356412 + 0.167249i
\(498\) 0.580576 1.97726i 0.0260162 0.0886031i
\(499\) 3.59642 + 25.0136i 0.160998 + 1.11976i 0.896758 + 0.442522i \(0.145916\pi\)
−0.735760 + 0.677242i \(0.763175\pi\)
\(500\) −4.71852 5.44546i −0.211019 0.243529i
\(501\) 2.04224 + 1.31247i 0.0912405 + 0.0586367i
\(502\) −12.0539 + 13.9109i −0.537992 + 0.620876i
\(503\) 16.9559 4.97871i 0.756027 0.221990i 0.119067 0.992886i \(-0.462010\pi\)
0.636960 + 0.770897i \(0.280192\pi\)
\(504\) −6.65061 0.811999i −0.296242 0.0361693i
\(505\) 46.5178i 2.07002i
\(506\) −2.58228 11.6383i −0.114797 0.517385i
\(507\) 20.8622i 0.926522i
\(508\) −4.42929 9.69879i −0.196518 0.430314i
\(509\) −10.4320 35.5281i −0.462389 1.57475i −0.779523 0.626373i \(-0.784539\pi\)
0.317134 0.948381i \(-0.397280\pi\)
\(510\) 0.676690 + 0.586356i 0.0299644 + 0.0259643i
\(511\) 2.66967 + 5.53079i 0.118099 + 0.244668i
\(512\) −0.654861 0.755750i −0.0289410 0.0333997i
\(513\) −12.2855 + 1.76638i −0.542416 + 0.0779877i
\(514\) −3.87748 + 13.2055i −0.171028 + 0.582468i
\(515\) 24.7913 15.9324i 1.09244 0.702066i
\(516\) −0.881809 + 6.13312i −0.0388195 + 0.269995i
\(517\) −2.69456 + 5.90026i −0.118507 + 0.259493i
\(518\) 23.2067 15.6226i 1.01965 0.686416i
\(519\) 1.35860 9.44930i 0.0596361 0.414778i
\(520\) 9.66171 + 15.0339i 0.423694 + 0.659281i
\(521\) 18.1762 + 5.33701i 0.796314 + 0.233819i 0.654488 0.756073i \(-0.272884\pi\)
0.141826 + 0.989892i \(0.454703\pi\)
\(522\) −0.166608 1.15878i −0.00729222 0.0507185i
\(523\) 12.2508 + 14.1382i 0.535691 + 0.618220i 0.957489 0.288469i \(-0.0931464\pi\)
−0.421798 + 0.906690i \(0.638601\pi\)
\(524\) −4.42128 + 6.87964i −0.193144 + 0.300538i
\(525\) 4.03681 1.27935i 0.176181 0.0558352i
\(526\) −2.08569 7.10322i −0.0909406 0.309715i
\(527\) −0.298313 + 0.136235i −0.0129947 + 0.00593448i
\(528\) −1.69987 −0.0739775
\(529\) 20.8417 9.72751i 0.906160 0.422935i
\(530\) 2.90800i 0.126315i
\(531\) 23.6585 10.8045i 1.02669 0.468875i
\(532\) −2.26743 + 8.37856i −0.0983056 + 0.363257i
\(533\) −37.6822 + 43.4876i −1.63220 + 1.88366i
\(534\) −5.08820 + 7.91740i −0.220188 + 0.342619i
\(535\) −31.9245 + 27.6627i −1.38022 + 1.19596i
\(536\) 2.97390 0.427583i 0.128453 0.0184688i
\(537\) 2.35682 8.02660i 0.101704 0.346373i
\(538\) −16.9733 26.4110i −0.731771 1.13866i
\(539\) 5.60906 + 16.4716i 0.241599 + 0.709480i
\(540\) −9.32387 4.25807i −0.401235 0.183238i
\(541\) −2.23107 + 4.88536i −0.0959211 + 0.210038i −0.951510 0.307618i \(-0.900468\pi\)
0.855589 + 0.517656i \(0.173195\pi\)
\(542\) −15.9557 2.29409i −0.685358 0.0985396i
\(543\) −9.34221 14.5368i −0.400913 0.623832i
\(544\) −0.463697 0.136154i −0.0198808 0.00583754i
\(545\) 14.9939 2.15580i 0.642269 0.0923443i
\(546\) 11.7737 1.94967i 0.503866 0.0834382i
\(547\) −26.0842 16.7633i −1.11528 0.716746i −0.152842 0.988251i \(-0.548842\pi\)
−0.962437 + 0.271505i \(0.912479\pi\)
\(548\) −0.934206 0.809494i −0.0399073 0.0345799i
\(549\) −12.2434 + 3.59499i −0.522536 + 0.153430i
\(550\) −5.29229 + 2.41691i −0.225664 + 0.103057i
\(551\) −1.51666 −0.0646118
\(552\) −0.710393 3.20173i −0.0302364 0.136275i
\(553\) 5.39056 + 3.30418i 0.229230 + 0.140508i
\(554\) −9.21750 20.1835i −0.391614 0.857515i
\(555\) 18.7969 5.51928i 0.797886 0.234280i
\(556\) 13.7860 + 11.9456i 0.584657 + 0.506608i
\(557\) 24.9166 38.7709i 1.05575 1.64278i 0.346136 0.938184i \(-0.387494\pi\)
0.709612 0.704592i \(-0.248870\pi\)
\(558\) 1.29872 1.12535i 0.0549794 0.0476399i
\(559\) 8.50550 + 59.1571i 0.359744 + 2.50208i
\(560\) −5.31616 + 4.80856i −0.224649 + 0.203199i
\(561\) −0.691092 + 0.444138i −0.0291779 + 0.0187515i
\(562\) 12.3204 + 1.77141i 0.519706 + 0.0747224i
\(563\) −13.6687 + 29.9302i −0.576065 + 1.26141i 0.367440 + 0.930047i \(0.380234\pi\)
−0.943505 + 0.331359i \(0.892493\pi\)
\(564\) −0.741281 + 1.62318i −0.0312135 + 0.0683481i
\(565\) 20.1986 + 2.90412i 0.849762 + 0.122177i
\(566\) 9.90040 6.36260i 0.416145 0.267440i
\(567\) 9.83027 8.89165i 0.412833 0.373414i
\(568\) −0.200605 1.39524i −0.00841720 0.0585429i
\(569\) −5.70077 + 4.93975i −0.238989 + 0.207085i −0.766118 0.642700i \(-0.777814\pi\)
0.527129 + 0.849785i \(0.323269\pi\)
\(570\) −3.28622 + 5.11346i −0.137645 + 0.214179i
\(571\) 2.80861 + 2.43367i 0.117537 + 0.101846i 0.711646 0.702538i \(-0.247950\pi\)
−0.594109 + 0.804384i \(0.702495\pi\)
\(572\) −15.7320 + 4.61933i −0.657788 + 0.193144i
\(573\) 5.27485 + 11.5503i 0.220360 + 0.482521i
\(574\) −19.6785 12.0620i −0.821363 0.503460i
\(575\) −6.76396 8.95802i −0.282077 0.373575i
\(576\) 2.53236 0.105515
\(577\) 35.5153 16.2193i 1.47852 0.675218i 0.497206 0.867632i \(-0.334359\pi\)
0.981314 + 0.192415i \(0.0616319\pi\)
\(578\) 16.0873 4.72365i 0.669143 0.196478i
\(579\) 4.09566 + 3.54891i 0.170210 + 0.147488i
\(580\) −1.05368 0.677162i −0.0437518 0.0281176i
\(581\) 7.86576 1.30254i 0.326327 0.0540384i
\(582\) −5.62181 + 0.808295i −0.233032 + 0.0335049i
\(583\) −2.55996 0.751671i −0.106023 0.0311310i
\(584\) −1.25495 1.95274i −0.0519303 0.0808051i
\(585\) −44.7948 6.44052i −1.85204 0.266283i
\(586\) 4.24329 9.29150i 0.175289 0.383828i
\(587\) −23.8677 10.9000i −0.985124 0.449891i −0.143321 0.989676i \(-0.545778\pi\)
−0.841803 + 0.539785i \(0.818506\pi\)
\(588\) 1.54307 + 4.53137i 0.0636350 + 0.186870i
\(589\) −1.20362 1.87287i −0.0495944 0.0771704i
\(590\) 7.83966 26.6994i 0.322754 1.09920i
\(591\) 2.26736 0.325997i 0.0932666 0.0134097i
\(592\) −7.99104 + 6.92428i −0.328430 + 0.284586i
\(593\) −21.6632 + 33.7086i −0.889601 + 1.38425i 0.0333966 + 0.999442i \(0.489368\pi\)
−0.922998 + 0.384805i \(0.874269\pi\)
\(594\) 6.15852 7.10731i 0.252687 0.291616i
\(595\) −0.904945 + 3.34393i −0.0370991 + 0.137088i
\(596\) 14.7770 6.74842i 0.605289 0.276426i
\(597\) 18.4913i 0.756799i
\(598\) −15.2751 27.7009i −0.624645 1.13277i
\(599\) −11.5567 −0.472193 −0.236096 0.971730i \(-0.575868\pi\)
−0.236096 + 0.971730i \(0.575868\pi\)
\(600\) −1.45592 + 0.664897i −0.0594378 + 0.0271443i
\(601\) −1.50997 5.14248i −0.0615928 0.209766i 0.922947 0.384927i \(-0.125773\pi\)
−0.984540 + 0.175161i \(0.943955\pi\)
\(602\) −22.8526 + 7.24243i −0.931401 + 0.295179i
\(603\) −4.11343 + 6.40063i −0.167512 + 0.260654i
\(604\) −12.1656 14.0398i −0.495011 0.571273i
\(605\) 1.85886 + 12.9287i 0.0755734 + 0.525625i
\(606\) −11.2656 3.30787i −0.457632 0.134373i
\(607\) 1.80093 + 2.80231i 0.0730977 + 0.113742i 0.875878 0.482533i \(-0.160283\pi\)
−0.802780 + 0.596275i \(0.796647\pi\)
\(608\) 0.466894 3.24732i 0.0189351 0.131696i
\(609\) −0.693847 + 0.467091i −0.0281161 + 0.0189275i
\(610\) −5.67128 + 12.4184i −0.229624 + 0.502805i
\(611\) −2.44949 + 17.0366i −0.0990959 + 0.689227i
\(612\) 1.02954 0.661647i 0.0416168 0.0267455i
\(613\) −3.53583 + 12.0419i −0.142811 + 0.486369i −0.999569 0.0293488i \(-0.990657\pi\)
0.856758 + 0.515718i \(0.172475\pi\)
\(614\) 12.2858 1.76643i 0.495813 0.0712871i
\(615\) −10.5846 12.2153i −0.426813 0.492569i
\(616\) −2.85891 5.92284i −0.115189 0.238638i
\(617\) 8.53800 + 7.39822i 0.343727 + 0.297841i 0.809567 0.587028i \(-0.199702\pi\)
−0.465840 + 0.884869i \(0.654248\pi\)
\(618\) 2.09557 + 7.13685i 0.0842961 + 0.287086i
\(619\) −3.85762 8.44702i −0.155051 0.339514i 0.816126 0.577874i \(-0.196118\pi\)
−0.971177 + 0.238360i \(0.923390\pi\)
\(620\) 1.83856i 0.0738383i
\(621\) 15.9604 + 8.62941i 0.640468 + 0.346286i
\(622\) 7.38484i 0.296105i
\(623\) −36.1440 4.41296i −1.44808 0.176801i
\(624\) −4.32792 + 1.27079i −0.173255 + 0.0508723i
\(625\) 20.4477 23.5980i 0.817910 0.943918i
\(626\) −7.44100 4.78204i −0.297402 0.191129i
\(627\) −3.65203 4.21466i −0.145848 0.168317i
\(628\) −2.80861 19.5343i −0.112076 0.779504i
\(629\) −1.43964 + 4.90297i −0.0574023 + 0.195494i
\(630\) −0.386749 18.1485i −0.0154084 0.723052i
\(631\) −40.8567 5.87431i −1.62648 0.233853i −0.732113 0.681183i \(-0.761466\pi\)
−0.894369 + 0.447331i \(0.852375\pi\)
\(632\) −2.17378 0.992730i −0.0864681 0.0394887i
\(633\) −2.05317 0.937652i −0.0816062 0.0372683i
\(634\) 0.379864 2.64201i 0.0150863 0.104928i
\(635\) 24.3020 15.6180i 0.964397 0.619780i
\(636\) −0.704251 0.206787i −0.0279254 0.00819963i
\(637\) 26.5946 + 37.7437i 1.05372 + 1.49546i
\(638\) 0.868477 0.752539i 0.0343833 0.0297933i
\(639\) 3.00292 + 1.92986i 0.118794 + 0.0763441i
\(640\) 1.77424 2.04759i 0.0701331 0.0809379i
\(641\) 1.92388 + 6.55212i 0.0759886 + 0.258793i 0.988722 0.149762i \(-0.0478508\pi\)
−0.912733 + 0.408556i \(0.866033\pi\)
\(642\) −4.42914 9.69847i −0.174804 0.382768i
\(643\) 25.1448 0.991616 0.495808 0.868432i \(-0.334872\pi\)
0.495808 + 0.868432i \(0.334872\pi\)
\(644\) 9.96095 7.85999i 0.392516 0.309727i
\(645\) −16.7876 −0.661011
\(646\) −0.658632 1.44220i −0.0259135 0.0567427i
\(647\) 4.85790 + 16.5445i 0.190984 + 0.650431i 0.998189 + 0.0601597i \(0.0191610\pi\)
−0.807205 + 0.590271i \(0.799021\pi\)
\(648\) −3.28081 + 3.78625i −0.128882 + 0.148738i
\(649\) 21.4775 + 13.8028i 0.843066 + 0.541806i
\(650\) −11.6674 + 10.1099i −0.457635 + 0.396543i
\(651\) −1.12744 0.486125i −0.0441877 0.0190528i
\(652\) −14.8993 4.37483i −0.583502 0.171332i
\(653\) −4.00329 + 2.57276i −0.156661 + 0.100680i −0.616622 0.787259i \(-0.711499\pi\)
0.459962 + 0.887939i \(0.347863\pi\)
\(654\) −0.544127 + 3.78449i −0.0212770 + 0.147985i
\(655\) −20.1543 9.20418i −0.787495 0.359637i
\(656\) 7.93546 + 3.62400i 0.309828 + 0.141494i
\(657\) 5.81836 + 0.836554i 0.226996 + 0.0326371i
\(658\) −6.90232 + 0.147090i −0.269080 + 0.00573418i
\(659\) 4.89661 16.6763i 0.190745 0.649617i −0.807471 0.589907i \(-0.799164\pi\)
0.998216 0.0597100i \(-0.0190176\pi\)
\(660\) −0.655437 4.55866i −0.0255129 0.177446i
\(661\) −9.44389 10.8988i −0.367325 0.423916i 0.541756 0.840536i \(-0.317760\pi\)
−0.909080 + 0.416621i \(0.863214\pi\)
\(662\) 26.5363 + 17.0539i 1.03136 + 0.662817i
\(663\) −1.42751 + 1.64743i −0.0554398 + 0.0639809i
\(664\) −2.89140 + 0.848991i −0.112208 + 0.0329472i
\(665\) −23.3436 2.85011i −0.905227 0.110523i
\(666\) 26.7763i 1.03756i
\(667\) 1.78036 + 1.32129i 0.0689358 + 0.0511606i
\(668\) 3.54996i 0.137352i
\(669\) 0.542137 + 1.18711i 0.0209602 + 0.0458965i
\(670\) 2.29336 + 7.81045i 0.0886000 + 0.301744i
\(671\) −9.46616 8.20248i −0.365437 0.316653i
\(672\) −0.786494 1.62939i −0.0303397 0.0628550i
\(673\) 6.72947 + 7.76622i 0.259402 + 0.299366i 0.870479 0.492205i \(-0.163809\pi\)
−0.611077 + 0.791571i \(0.709264\pi\)
\(674\) −9.04390 + 1.30032i −0.348358 + 0.0500863i
\(675\) 2.49471 8.49620i 0.0960214 0.327019i
\(676\) −25.6644 + 16.4935i −0.987092 + 0.634365i
\(677\) −0.782308 + 5.44107i −0.0300665 + 0.209117i −0.999317 0.0369600i \(-0.988233\pi\)
0.969250 + 0.246077i \(0.0791417\pi\)
\(678\) −2.13963 + 4.68514i −0.0821720 + 0.179932i
\(679\) −12.2713 18.2286i −0.470929 0.699548i
\(680\) 0.186340 1.29602i 0.00714582 0.0497003i
\(681\) 0.195492 + 0.304191i 0.00749126 + 0.0116566i
\(682\) 1.61851 + 0.475238i 0.0619761 + 0.0181978i
\(683\) −3.06341 21.3065i −0.117218 0.815271i −0.960596 0.277949i \(-0.910345\pi\)
0.843378 0.537321i \(-0.180564\pi\)
\(684\) 5.44055 + 6.27873i 0.208025 + 0.240073i
\(685\) 1.81066 2.81745i 0.0691819 0.107649i
\(686\) −13.1934 + 12.9975i −0.503725 + 0.496247i
\(687\) −1.30502 4.44448i −0.0497895 0.169567i
\(688\) 8.24203 3.76401i 0.314225 0.143502i
\(689\) −7.07964 −0.269713
\(690\) 8.31237 3.13963i 0.316447 0.119524i
\(691\) 48.9602i 1.86253i 0.364339 + 0.931266i \(0.381295\pi\)
−0.364339 + 0.931266i \(0.618705\pi\)
\(692\) −12.6985 + 5.79922i −0.482725 + 0.220453i
\(693\) 16.0764 + 4.35063i 0.610690 + 0.165267i
\(694\) −19.5982 + 22.6175i −0.743937 + 0.858549i
\(695\) −26.7198 + 41.5769i −1.01354 + 1.57710i
\(696\) 0.238920 0.207026i 0.00905625 0.00784729i
\(697\) 4.17307 0.599997i 0.158066 0.0227265i
\(698\) −1.33698 + 4.55334i −0.0506055 + 0.172346i
\(699\) 3.42616 + 5.33121i 0.129589 + 0.201645i
\(700\) −4.76531 3.95459i −0.180112 0.149470i
\(701\) 16.1822 + 7.39015i 0.611192 + 0.279122i 0.696866 0.717201i \(-0.254577\pi\)
−0.0856741 + 0.996323i \(0.527304\pi\)
\(702\) 10.3664 22.6993i 0.391256 0.856731i
\(703\) −34.3361 4.93678i −1.29501 0.186194i
\(704\) 1.34391 + 2.09116i 0.0506505 + 0.0788137i
\(705\) −4.63881 1.36208i −0.174708 0.0512988i
\(706\) 23.8085 3.42315i 0.896046 0.128832i
\(707\) −7.42130 44.8157i −0.279107 1.68547i
\(708\) 5.90852 + 3.79718i 0.222056 + 0.142707i
\(709\) −20.2568 17.5526i −0.760761 0.659203i 0.185486 0.982647i \(-0.440614\pi\)
−0.946247 + 0.323444i \(0.895159\pi\)
\(710\) 3.66435 1.07595i 0.137521 0.0403797i
\(711\) 5.50478 2.51395i 0.206445 0.0942805i
\(712\) 13.7626 0.515774
\(713\) −0.218724 + 3.24709i −0.00819126 + 0.121604i
\(714\) −0.745474 0.456943i −0.0278987 0.0171007i
\(715\) −18.4539 40.4084i −0.690137 1.51119i
\(716\) −11.7375 + 3.44644i −0.438651 + 0.128800i
\(717\) −11.4978 9.96287i −0.429392 0.372070i
\(718\) 7.35459 11.4440i 0.274471 0.427085i
\(719\) −13.4063 + 11.6166i −0.499971 + 0.433228i −0.867983 0.496593i \(-0.834584\pi\)
0.368012 + 0.929821i \(0.380039\pi\)
\(720\) 0.976427 + 6.79120i 0.0363893 + 0.253093i
\(721\) −21.3424 + 19.3046i −0.794832 + 0.718939i
\(722\) −6.92934 + 4.45322i −0.257883 + 0.165732i
\(723\) −15.5943 2.24212i −0.579957 0.0833853i
\(724\) −10.4971 + 22.9853i −0.390120 + 0.854243i
\(725\) 0.449488 0.984242i 0.0166936 0.0365538i
\(726\) −3.26321 0.469179i −0.121109 0.0174129i
\(727\) −23.5230 + 15.1173i −0.872420 + 0.560670i −0.898492 0.438990i \(-0.855336\pi\)
0.0260719 + 0.999660i \(0.491700\pi\)
\(728\) −11.7066 12.9424i −0.433877 0.479678i
\(729\) −0.700970 4.87535i −0.0259618 0.180569i
\(730\) 4.75292 4.11843i 0.175913 0.152430i
\(731\) 2.36739 3.68373i 0.0875610 0.136248i
\(732\) −2.60417 2.25652i −0.0962528 0.0834035i
\(733\) 11.0907 3.25654i 0.409646 0.120283i −0.0704155 0.997518i \(-0.522433\pi\)
0.480062 + 0.877235i \(0.340614\pi\)
\(734\) 10.0513 + 22.0092i 0.370999 + 0.812374i
\(735\) −11.5571 + 5.88535i −0.426290 + 0.217084i
\(736\) −3.37709 + 3.40518i −0.124481 + 0.125517i
\(737\) −7.46846 −0.275104
\(738\) −20.0954 + 9.17728i −0.739724 + 0.337820i
\(739\) −23.3846 + 6.86633i −0.860216 + 0.252582i −0.681949 0.731400i \(-0.738867\pi\)
−0.178267 + 0.983982i \(0.557049\pi\)
\(740\) −21.6505 18.7603i −0.795888 0.689641i
\(741\) −12.4489 8.00044i −0.457323 0.293904i
\(742\) −0.463932 2.80159i −0.0170315 0.102850i
\(743\) −23.8767 + 3.43295i −0.875952 + 0.125943i −0.565601 0.824679i \(-0.691356\pi\)
−0.310351 + 0.950622i \(0.600447\pi\)
\(744\) 0.445257 + 0.130739i 0.0163239 + 0.00479314i
\(745\) 23.7954 + 37.0264i 0.871796 + 1.35654i
\(746\) −16.3165 2.34596i −0.597389 0.0858916i
\(747\) 3.17011 6.94156i 0.115988 0.253978i
\(748\) 1.09275 + 0.499040i 0.0399547 + 0.0182467i
\(749\) 26.3431 31.7436i 0.962556 1.15989i
\(750\) 2.66392 + 4.14515i 0.0972727 + 0.151359i
\(751\) 0.709401 2.41600i 0.0258864 0.0881610i −0.945537 0.325516i \(-0.894462\pi\)
0.971423 + 0.237355i \(0.0762803\pi\)
\(752\) 2.58286 0.371360i 0.0941874 0.0135421i
\(753\) 9.51289 8.24296i 0.346669 0.300390i
\(754\) 1.64858 2.56524i 0.0600377 0.0934204i
\(755\) 32.9608 38.0388i 1.19957 1.38437i
\(756\) 9.66201 + 2.61476i 0.351404 + 0.0950979i
\(757\) 9.04449 4.13048i 0.328728 0.150125i −0.244213 0.969722i \(-0.578530\pi\)
0.572941 + 0.819597i \(0.305802\pi\)
\(758\) 24.4858i 0.889364i
\(759\) 0.615251 + 8.12906i 0.0223322 + 0.295066i
\(760\) 8.88858 0.322423
\(761\) −18.1981 + 8.31081i −0.659682 + 0.301267i −0.716983 0.697090i \(-0.754478\pi\)
0.0573013 + 0.998357i \(0.481750\pi\)
\(762\) 2.05421 + 6.99599i 0.0744161 + 0.253438i
\(763\) −14.1013 + 4.46899i −0.510503 + 0.161788i
\(764\) 10.0388 15.6206i 0.363190 0.565135i
\(765\) 2.17135 + 2.50588i 0.0785055 + 0.0906002i
\(766\) 1.17973 + 8.20520i 0.0426253 + 0.296466i
\(767\) 65.0009 + 19.0860i 2.34705 + 0.689155i
\(768\) 0.369713 + 0.575284i 0.0133409 + 0.0207588i
\(769\) 5.85128 40.6966i 0.211003 1.46756i −0.558815 0.829292i \(-0.688744\pi\)
0.769818 0.638264i \(-0.220347\pi\)
\(770\) 14.7813 9.95065i 0.532682 0.358597i
\(771\) 3.90976 8.56118i 0.140807 0.308323i
\(772\) 1.12782 7.84417i 0.0405912 0.282318i
\(773\) 13.5750 8.72410i 0.488258 0.313784i −0.273247 0.961944i \(-0.588098\pi\)