Properties

Label 441.2.y.a.184.47
Level $441$
Weight $2$
Character 441.184
Analytic conductor $3.521$
Analytic rank $0$
Dimension $648$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 441 = 3^{2} \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 441.y (of order \(21\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.52140272914\)
Analytic rank: \(0\)
Dimension: \(648\)
Relative dimension: \(54\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 184.47
Character \(\chi\) \(=\) 441.184
Dual form 441.2.y.a.151.47

$q$-expansion

\(f(q)\) \(=\) \(q+(1.97274 + 0.950020i) q^{2} +(-0.880333 + 1.49165i) q^{3} +(1.74217 + 2.18461i) q^{4} +(-1.72336 + 1.59904i) q^{5} +(-3.15376 + 2.10629i) q^{6} +(0.702929 + 2.55066i) q^{7} +(0.386968 + 1.69542i) q^{8} +(-1.45003 - 2.62629i) q^{9} +O(q^{10})\) \(q+(1.97274 + 0.950020i) q^{2} +(-0.880333 + 1.49165i) q^{3} +(1.74217 + 2.18461i) q^{4} +(-1.72336 + 1.59904i) q^{5} +(-3.15376 + 2.10629i) q^{6} +(0.702929 + 2.55066i) q^{7} +(0.386968 + 1.69542i) q^{8} +(-1.45003 - 2.62629i) q^{9} +(-4.91886 + 1.51727i) q^{10} +(1.75138 - 1.19407i) q^{11} +(-4.79237 + 0.675518i) q^{12} +(0.407923 - 0.278117i) q^{13} +(-1.03649 + 5.69959i) q^{14} +(-0.868079 - 3.97834i) q^{15} +(0.396254 - 1.73610i) q^{16} +(-1.06254 - 0.160152i) q^{17} +(-0.365487 - 6.55854i) q^{18} +(-1.55406 + 2.69170i) q^{19} +(-6.49568 - 0.979067i) q^{20} +(-4.42351 - 1.19691i) q^{21} +(4.58940 - 0.691741i) q^{22} +(-1.66191 + 4.23447i) q^{23} +(-2.86962 - 0.915312i) q^{24} +(0.0393760 - 0.525436i) q^{25} +(1.06894 - 0.161117i) q^{26} +(5.19401 + 0.149087i) q^{27} +(-4.34760 + 5.97932i) q^{28} +(0.161216 + 0.0242995i) q^{29} +(2.06701 - 8.67290i) q^{30} +6.34885 q^{31} +(4.59956 - 5.76766i) q^{32} +(0.239335 + 3.66362i) q^{33} +(-1.94396 - 1.32537i) q^{34} +(-5.29002 - 3.27170i) q^{35} +(3.21125 - 7.74320i) q^{36} +(2.77018 + 7.05831i) q^{37} +(-5.62292 + 3.83364i) q^{38} +(0.0557446 + 0.853313i) q^{39} +(-3.37793 - 2.30303i) q^{40} +(1.49270 + 0.460437i) q^{41} +(-7.58932 - 6.56361i) q^{42} +(9.57531 - 2.95359i) q^{43} +(5.65979 + 1.74581i) q^{44} +(6.69848 + 2.20739i) q^{45} +(-7.30134 + 6.77466i) q^{46} +(4.11892 + 1.98356i) q^{47} +(2.24082 + 2.11942i) q^{48} +(-6.01178 + 3.58587i) q^{49} +(0.576853 - 0.999139i) q^{50} +(1.17428 - 1.44395i) q^{51} +(1.31825 + 0.406627i) q^{52} +(3.75945 - 9.57892i) q^{53} +(10.1048 + 5.22852i) q^{54} +(-1.10889 + 4.85835i) q^{55} +(-4.05243 + 2.17878i) q^{56} +(-2.64699 - 4.68770i) q^{57} +(0.294952 + 0.201095i) q^{58} +(1.01394 - 4.44237i) q^{59} +(7.17879 - 8.82737i) q^{60} +(-0.814584 + 1.02146i) q^{61} +(12.5246 + 6.03154i) q^{62} +(5.67953 - 5.54463i) q^{63} +(11.3443 - 5.46313i) q^{64} +(-0.258276 + 1.13158i) q^{65} +(-3.00837 + 7.45474i) q^{66} -9.89116 q^{67} +(-1.50126 - 2.60025i) q^{68} +(-4.85331 - 6.20673i) q^{69} +(-7.32765 - 11.4798i) q^{70} +(-5.48821 - 6.88199i) q^{71} +(3.89155 - 3.47469i) q^{72} +(-3.61722 - 2.46618i) q^{73} +(-1.24069 + 16.5559i) q^{74} +(0.749102 + 0.521294i) q^{75} +(-8.58777 + 1.29440i) q^{76} +(4.27677 + 3.62784i) q^{77} +(-0.700695 + 1.73632i) q^{78} +6.83605 q^{79} +(2.09322 + 3.62556i) q^{80} +(-4.79485 + 7.61639i) q^{81} +(2.50728 + 2.32642i) q^{82} +(-10.0992 - 6.88551i) q^{83} +(-5.09171 - 11.7489i) q^{84} +(2.08723 - 1.42305i) q^{85} +(21.6955 + 3.27008i) q^{86} +(-0.178170 + 0.219086i) q^{87} +(2.70217 + 2.50725i) q^{88} +(1.07906 - 14.3990i) q^{89} +(11.1173 + 10.7183i) q^{90} +(0.996125 + 0.844978i) q^{91} +(-12.1460 + 3.74655i) q^{92} +(-5.58911 + 9.47025i) q^{93} +(6.24111 + 7.82610i) q^{94} +(-1.62596 - 7.12378i) q^{95} +(4.55418 + 11.9384i) q^{96} +(7.39840 + 12.8144i) q^{97} +(-15.2663 + 1.36267i) q^{98} +(-5.67553 - 2.86821i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 648q - 5q^{2} - 13q^{3} - 109q^{4} - 12q^{5} + 2q^{6} - 7q^{7} - 16q^{8} - 3q^{9} + O(q^{10}) \) \( 648q - 5q^{2} - 13q^{3} - 109q^{4} - 12q^{5} + 2q^{6} - 7q^{7} - 16q^{8} - 3q^{9} - 22q^{10} - 8q^{11} - 64q^{12} - 4q^{13} - 26q^{14} - 4q^{15} - 97q^{16} - 37q^{17} - q^{18} - 14q^{19} - 11q^{20} - 33q^{21} - q^{22} + 31q^{23} - 20q^{24} + 38q^{25} - 44q^{26} - 49q^{27} - 22q^{28} + 73q^{29} - 12q^{30} - 20q^{31} - q^{32} - 43q^{33} - 7q^{34} - 32q^{35} + 20q^{36} - 39q^{37} - 40q^{38} + q^{39} - q^{40} - 17q^{41} + 82q^{42} - q^{43} - 31q^{44} - 177q^{45} + 56q^{46} + 5q^{47} - 23q^{48} - q^{49} - 21q^{50} - 18q^{51} - 48q^{52} + 50q^{53} - 15q^{54} + 20q^{55} + 127q^{56} + 33q^{57} - 82q^{58} + 53q^{59} + 43q^{60} + 42q^{61} - 30q^{62} + 57q^{63} - 88q^{64} - 11q^{65} - 90q^{66} - 26q^{67} + 145q^{68} + 64q^{69} - 46q^{70} - 19q^{71} - 46q^{72} - 40q^{73} + 18q^{74} - 114q^{75} + 43q^{76} + 7q^{77} - 129q^{78} - 26q^{79} + 163q^{80} + 85q^{81} - 28q^{82} - 221q^{83} - 113q^{84} - 10q^{85} - 18q^{86} + 37q^{87} - 4q^{88} - 104q^{89} - 60q^{90} - 49q^{91} + 119q^{92} - 149q^{93} - 13q^{94} + 37q^{95} + 186q^{96} - 11q^{97} - 33q^{98} + 62q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).

\(n\) \(199\) \(344\)
\(\chi(n)\) \(e\left(\frac{16}{21}\right)\) \(e\left(\frac{1}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.97274 + 0.950020i 1.39494 + 0.671765i 0.972127 0.234454i \(-0.0753302\pi\)
0.422808 + 0.906219i \(0.361044\pi\)
\(3\) −0.880333 + 1.49165i −0.508261 + 0.861203i
\(4\) 1.74217 + 2.18461i 0.871086 + 1.09231i
\(5\) −1.72336 + 1.59904i −0.770710 + 0.715114i −0.963963 0.266035i \(-0.914286\pi\)
0.193254 + 0.981149i \(0.438096\pi\)
\(6\) −3.15376 + 2.10629i −1.28752 + 0.859891i
\(7\) 0.702929 + 2.55066i 0.265682 + 0.964061i
\(8\) 0.386968 + 1.69542i 0.136814 + 0.599420i
\(9\) −1.45003 2.62629i −0.483342 0.875432i
\(10\) −4.91886 + 1.51727i −1.55548 + 0.479802i
\(11\) 1.75138 1.19407i 0.528061 0.360026i −0.269753 0.962930i \(-0.586942\pi\)
0.797814 + 0.602904i \(0.205990\pi\)
\(12\) −4.79237 + 0.675518i −1.38344 + 0.195005i
\(13\) 0.407923 0.278117i 0.113138 0.0771358i −0.505429 0.862868i \(-0.668666\pi\)
0.618567 + 0.785732i \(0.287714\pi\)
\(14\) −1.03649 + 5.69959i −0.277013 + 1.52328i
\(15\) −0.868079 3.97834i −0.224137 1.02720i
\(16\) 0.396254 1.73610i 0.0990636 0.434026i
\(17\) −1.06254 0.160152i −0.257704 0.0388426i 0.0189196 0.999821i \(-0.493977\pi\)
−0.276623 + 0.960978i \(0.589215\pi\)
\(18\) −0.365487 6.55854i −0.0861462 1.54586i
\(19\) −1.55406 + 2.69170i −0.356525 + 0.617519i −0.987378 0.158383i \(-0.949372\pi\)
0.630853 + 0.775903i \(0.282705\pi\)
\(20\) −6.49568 0.979067i −1.45248 0.218926i
\(21\) −4.42351 1.19691i −0.965288 0.261188i
\(22\) 4.58940 0.691741i 0.978464 0.147480i
\(23\) −1.66191 + 4.23447i −0.346532 + 0.882949i 0.646262 + 0.763116i \(0.276331\pi\)
−0.992794 + 0.119833i \(0.961764\pi\)
\(24\) −2.86962 0.915312i −0.585759 0.186837i
\(25\) 0.0393760 0.525436i 0.00787520 0.105087i
\(26\) 1.06894 0.161117i 0.209637 0.0315976i
\(27\) 5.19401 + 0.149087i 0.999588 + 0.0286918i
\(28\) −4.34760 + 5.97932i −0.821618 + 1.12999i
\(29\) 0.161216 + 0.0242995i 0.0299371 + 0.00451230i 0.163994 0.986461i \(-0.447562\pi\)
−0.134057 + 0.990974i \(0.542800\pi\)
\(30\) 2.06701 8.67290i 0.377382 1.58345i
\(31\) 6.34885 1.14029 0.570144 0.821545i \(-0.306887\pi\)
0.570144 + 0.821545i \(0.306887\pi\)
\(32\) 4.59956 5.76766i 0.813094 1.01959i
\(33\) 0.239335 + 3.66362i 0.0416628 + 0.637755i
\(34\) −1.94396 1.32537i −0.333387 0.227299i
\(35\) −5.29002 3.27170i −0.894177 0.553018i
\(36\) 3.21125 7.74320i 0.535208 1.29053i
\(37\) 2.77018 + 7.05831i 0.455415 + 1.16038i 0.955654 + 0.294492i \(0.0951504\pi\)
−0.500238 + 0.865888i \(0.666754\pi\)
\(38\) −5.62292 + 3.83364i −0.912157 + 0.621898i
\(39\) 0.0557446 + 0.853313i 0.00892629 + 0.136640i
\(40\) −3.37793 2.30303i −0.534097 0.364141i
\(41\) 1.49270 + 0.460437i 0.233121 + 0.0719082i 0.409114 0.912483i \(-0.365838\pi\)
−0.175994 + 0.984391i \(0.556314\pi\)
\(42\) −7.58932 6.56361i −1.17106 1.01279i
\(43\) 9.57531 2.95359i 1.46022 0.450419i 0.539949 0.841698i \(-0.318444\pi\)
0.920272 + 0.391279i \(0.127967\pi\)
\(44\) 5.65979 + 1.74581i 0.853246 + 0.263191i
\(45\) 6.69848 + 2.20739i 0.998550 + 0.329059i
\(46\) −7.30134 + 6.77466i −1.07652 + 0.998869i
\(47\) 4.11892 + 1.98356i 0.600806 + 0.289333i 0.709459 0.704747i \(-0.248940\pi\)
−0.108653 + 0.994080i \(0.534654\pi\)
\(48\) 2.24082 + 2.11942i 0.323434 + 0.305912i
\(49\) −6.01178 + 3.58587i −0.858826 + 0.512267i
\(50\) 0.576853 0.999139i 0.0815794 0.141300i
\(51\) 1.17428 1.44395i 0.164432 0.202193i
\(52\) 1.31825 + 0.406627i 0.182809 + 0.0563890i
\(53\) 3.75945 9.57892i 0.516400 1.31577i −0.400371 0.916353i \(-0.631119\pi\)
0.916771 0.399413i \(-0.130786\pi\)
\(54\) 10.1048 + 5.22852i 1.37509 + 0.711512i
\(55\) −1.10889 + 4.85835i −0.149522 + 0.655100i
\(56\) −4.05243 + 2.17878i −0.541528 + 0.291152i
\(57\) −2.64699 4.68770i −0.350602 0.620901i
\(58\) 0.294952 + 0.201095i 0.0387292 + 0.0264051i
\(59\) 1.01394 4.44237i 0.132004 0.578347i −0.865053 0.501681i \(-0.832715\pi\)
0.997057 0.0766664i \(-0.0244276\pi\)
\(60\) 7.17879 8.82737i 0.926778 1.13961i
\(61\) −0.814584 + 1.02146i −0.104297 + 0.130784i −0.831240 0.555913i \(-0.812369\pi\)
0.726944 + 0.686697i \(0.240940\pi\)
\(62\) 12.5246 + 6.03154i 1.59063 + 0.766006i
\(63\) 5.67953 5.54463i 0.715554 0.698558i
\(64\) 11.3443 5.46313i 1.41804 0.682891i
\(65\) −0.258276 + 1.13158i −0.0320352 + 0.140356i
\(66\) −3.00837 + 7.45474i −0.370305 + 0.917615i
\(67\) −9.89116 −1.20840 −0.604199 0.796833i \(-0.706507\pi\)
−0.604199 + 0.796833i \(0.706507\pi\)
\(68\) −1.50126 2.60025i −0.182054 0.315327i
\(69\) −4.85331 6.20673i −0.584270 0.747203i
\(70\) −7.32765 11.4798i −0.875821 1.37210i
\(71\) −5.48821 6.88199i −0.651330 0.816742i 0.341038 0.940049i \(-0.389221\pi\)
−0.992369 + 0.123307i \(0.960650\pi\)
\(72\) 3.89155 3.47469i 0.458623 0.409496i
\(73\) −3.61722 2.46618i −0.423364 0.288645i 0.332837 0.942984i \(-0.391994\pi\)
−0.756201 + 0.654340i \(0.772947\pi\)
\(74\) −1.24069 + 16.5559i −0.144228 + 1.92459i
\(75\) 0.749102 + 0.521294i 0.0864988 + 0.0601939i
\(76\) −8.58777 + 1.29440i −0.985085 + 0.148478i
\(77\) 4.27677 + 3.62784i 0.487383 + 0.413431i
\(78\) −0.700695 + 1.73632i −0.0793381 + 0.196600i
\(79\) 6.83605 0.769115 0.384558 0.923101i \(-0.374354\pi\)
0.384558 + 0.923101i \(0.374354\pi\)
\(80\) 2.09322 + 3.62556i 0.234029 + 0.405350i
\(81\) −4.79485 + 7.61639i −0.532761 + 0.846266i
\(82\) 2.50728 + 2.32642i 0.276883 + 0.256910i
\(83\) −10.0992 6.88551i −1.10853 0.755783i −0.136500 0.990640i \(-0.543585\pi\)
−0.972030 + 0.234857i \(0.924538\pi\)
\(84\) −5.09171 11.7489i −0.555551 1.28191i
\(85\) 2.08723 1.42305i 0.226392 0.154351i
\(86\) 21.6955 + 3.27008i 2.33949 + 0.352621i
\(87\) −0.178170 + 0.219086i −0.0191019 + 0.0234885i
\(88\) 2.70217 + 2.50725i 0.288053 + 0.267274i
\(89\) 1.07906 14.3990i 0.114380 1.52629i −0.584702 0.811248i \(-0.698788\pi\)
0.699081 0.715042i \(-0.253593\pi\)
\(90\) 11.1173 + 10.7183i 1.17186 + 1.12981i
\(91\) 0.996125 + 0.844978i 0.104422 + 0.0885778i
\(92\) −12.1460 + 3.74655i −1.26631 + 0.390605i
\(93\) −5.58911 + 9.47025i −0.579564 + 0.982020i
\(94\) 6.24111 + 7.82610i 0.643721 + 0.807201i
\(95\) −1.62596 7.12378i −0.166820 0.730884i
\(96\) 4.55418 + 11.9384i 0.464809 + 1.21846i
\(97\) 7.39840 + 12.8144i 0.751194 + 1.30111i 0.947244 + 0.320512i \(0.103855\pi\)
−0.196050 + 0.980594i \(0.562812\pi\)
\(98\) −15.2663 + 1.36267i −1.54213 + 0.137650i
\(99\) −5.67553 2.86821i −0.570412 0.288266i
\(100\) 1.21648 0.829379i 0.121648 0.0829379i
\(101\) −9.22223 2.84468i −0.917646 0.283056i −0.200268 0.979741i \(-0.564181\pi\)
−0.717377 + 0.696685i \(0.754658\pi\)
\(102\) 3.68832 1.73294i 0.365198 0.171587i
\(103\) 10.8842 10.0991i 1.07246 0.995094i 0.0724588 0.997371i \(-0.476915\pi\)
0.999997 + 0.00227744i \(0.000724932\pi\)
\(104\) 0.629377 + 0.583977i 0.0617155 + 0.0572636i
\(105\) 9.53721 5.01067i 0.930736 0.488991i
\(106\) 16.5166 15.3251i 1.60423 1.48851i
\(107\) −1.31944 + 17.6068i −0.127555 + 1.70211i 0.455954 + 0.890003i \(0.349298\pi\)
−0.583510 + 0.812106i \(0.698321\pi\)
\(108\) 8.72317 + 11.6067i 0.839387 + 1.11685i
\(109\) 0.0102180 + 0.136349i 0.000978705 + 0.0130599i 0.997672 0.0681985i \(-0.0217251\pi\)
−0.996693 + 0.0812584i \(0.974106\pi\)
\(110\) −6.80307 + 8.53078i −0.648647 + 0.813378i
\(111\) −12.9672 2.08153i −1.23079 0.197570i
\(112\) 4.70676 0.209646i 0.444747 0.0198096i
\(113\) 0.853345 11.3871i 0.0802760 1.07121i −0.801018 0.598640i \(-0.795708\pi\)
0.881294 0.472568i \(-0.156673\pi\)
\(114\) −0.768398 11.7623i −0.0719671 1.10164i
\(115\) −3.90704 9.95499i −0.364334 0.928307i
\(116\) 0.227782 + 0.394529i 0.0211490 + 0.0366311i
\(117\) −1.32192 0.668049i −0.122211 0.0617612i
\(118\) 6.22058 7.80036i 0.572651 0.718081i
\(119\) −0.338396 2.82276i −0.0310207 0.258762i
\(120\) 6.40902 3.01124i 0.585060 0.274888i
\(121\) −2.37722 + 6.05706i −0.216111 + 0.550642i
\(122\) −2.57736 + 1.24119i −0.233343 + 0.112372i
\(123\) −2.00088 + 1.82124i −0.180414 + 0.164216i
\(124\) 11.0608 + 13.8698i 0.993289 + 1.24554i
\(125\) −6.55659 8.22171i −0.586439 0.735372i
\(126\) 16.4717 5.54242i 1.46742 0.493758i
\(127\) 7.90466 9.91213i 0.701425 0.879559i −0.295704 0.955280i \(-0.595554\pi\)
0.997129 + 0.0757203i \(0.0241256\pi\)
\(128\) 12.8152 1.13271
\(129\) −4.02375 + 16.8831i −0.354271 + 1.48648i
\(130\) −1.58454 + 1.98695i −0.138973 + 0.174267i
\(131\) −13.2872 + 4.09856i −1.16091 + 0.358093i −0.814598 0.580026i \(-0.803042\pi\)
−0.346312 + 0.938119i \(0.612566\pi\)
\(132\) −7.58664 + 6.90552i −0.660333 + 0.601048i
\(133\) −7.95803 2.07180i −0.690048 0.179648i
\(134\) −19.5127 9.39680i −1.68564 0.811760i
\(135\) −9.18955 + 8.04852i −0.790910 + 0.692707i
\(136\) −0.139644 1.86342i −0.0119744 0.159787i
\(137\) 13.6577 + 12.6725i 1.16685 + 1.08268i 0.995234 + 0.0975190i \(0.0310907\pi\)
0.171620 + 0.985163i \(0.445100\pi\)
\(138\) −3.67778 16.8550i −0.313074 1.43479i
\(139\) −0.806322 0.248717i −0.0683913 0.0210959i 0.260371 0.965509i \(-0.416155\pi\)
−0.328762 + 0.944413i \(0.606631\pi\)
\(140\) −2.06873 17.2565i −0.174840 1.45844i
\(141\) −6.58480 + 4.39777i −0.554540 + 0.370359i
\(142\) −4.28875 18.7903i −0.359904 1.57684i
\(143\) 0.382337 0.974178i 0.0319726 0.0814649i
\(144\) −5.13410 + 1.47672i −0.427842 + 0.123060i
\(145\) −0.316690 + 0.215915i −0.0262996 + 0.0179308i
\(146\) −4.79290 8.30155i −0.396664 0.687042i
\(147\) −0.0564856 12.1242i −0.00465885 0.999989i
\(148\) −10.5936 + 18.3486i −0.870785 + 1.50824i
\(149\) 1.05887 + 14.1296i 0.0867460 + 1.15755i 0.855431 + 0.517917i \(0.173293\pi\)
−0.768685 + 0.639628i \(0.779088\pi\)
\(150\) 0.982540 + 1.74004i 0.0802241 + 0.142073i
\(151\) 13.1700 1.98506i 1.07176 0.161542i 0.410622 0.911806i \(-0.365312\pi\)
0.661138 + 0.750264i \(0.270074\pi\)
\(152\) −5.16493 1.59317i −0.418931 0.129223i
\(153\) 1.12010 + 3.02277i 0.0905550 + 0.244376i
\(154\) 4.99043 + 11.2198i 0.402140 + 0.904116i
\(155\) −10.9414 + 10.1521i −0.878831 + 0.815436i
\(156\) −1.76704 + 1.60840i −0.141477 + 0.128775i
\(157\) 1.39924 6.13047i 0.111672 0.489265i −0.887901 0.460034i \(-0.847837\pi\)
0.999573 0.0292307i \(-0.00930576\pi\)
\(158\) 13.4857 + 6.49438i 1.07287 + 0.516665i
\(159\) 10.9788 + 14.0404i 0.870676 + 1.11348i
\(160\) 1.29605 + 17.2946i 0.102462 + 1.36726i
\(161\) −11.9689 1.26244i −0.943284 0.0994940i
\(162\) −16.6947 + 10.4699i −1.31166 + 0.822596i
\(163\) −0.213693 0.198278i −0.0167377 0.0155303i 0.671760 0.740769i \(-0.265539\pi\)
−0.688497 + 0.725239i \(0.741729\pi\)
\(164\) 1.59466 + 4.06313i 0.124522 + 0.317277i
\(165\) −6.27076 5.93104i −0.488178 0.461730i
\(166\) −13.3817 23.1777i −1.03862 1.79894i
\(167\) −5.93941 15.1334i −0.459605 1.17105i −0.953462 0.301512i \(-0.902509\pi\)
0.493857 0.869543i \(-0.335587\pi\)
\(168\) 0.317512 7.96285i 0.0244966 0.614347i
\(169\) −4.66038 + 11.8745i −0.358491 + 0.913420i
\(170\) 5.46948 0.824391i 0.419490 0.0632279i
\(171\) 9.32263 + 0.178368i 0.712919 + 0.0136402i
\(172\) 23.1343 + 15.7727i 1.76397 + 1.20266i
\(173\) 8.32397 + 10.4379i 0.632860 + 0.793581i 0.990090 0.140435i \(-0.0448502\pi\)
−0.357230 + 0.934016i \(0.616279\pi\)
\(174\) −0.559620 + 0.262934i −0.0424247 + 0.0199330i
\(175\) 1.36789 0.268909i 0.103403 0.0203276i
\(176\) −1.37904 3.51374i −0.103949 0.264858i
\(177\) 5.73384 + 5.42321i 0.430982 + 0.407633i
\(178\) 15.8080 27.3803i 1.18486 2.05224i
\(179\) −20.8333 3.14011i −1.55715 0.234703i −0.686694 0.726947i \(-0.740939\pi\)
−0.870457 + 0.492244i \(0.836177\pi\)
\(180\) 6.84759 + 18.4792i 0.510389 + 1.37736i
\(181\) −14.7651 + 7.11050i −1.09748 + 0.528519i −0.892865 0.450323i \(-0.851309\pi\)
−0.204615 + 0.978842i \(0.565594\pi\)
\(182\) 1.16235 + 2.61326i 0.0861588 + 0.193708i
\(183\) −0.806547 2.11429i −0.0596217 0.156293i
\(184\) −7.82230 1.17902i −0.576668 0.0869186i
\(185\) −16.0606 7.73437i −1.18080 0.568642i
\(186\) −20.0228 + 13.3726i −1.46814 + 0.980523i
\(187\) −2.05214 + 0.988261i −0.150068 + 0.0722688i
\(188\) 2.84253 + 12.4540i 0.207313 + 0.908298i
\(189\) 3.27075 + 13.3530i 0.237912 + 0.971287i
\(190\) 3.56015 15.5980i 0.258280 1.13160i
\(191\) −4.68505 20.5265i −0.338998 1.48525i −0.801159 0.598452i \(-0.795783\pi\)
0.462161 0.886796i \(-0.347074\pi\)
\(192\) −1.83771 + 21.7311i −0.132625 + 1.56831i
\(193\) −5.00823 21.9425i −0.360500 1.57946i −0.751927 0.659246i \(-0.770876\pi\)
0.391427 0.920209i \(-0.371982\pi\)
\(194\) 2.42116 + 32.3081i 0.173829 + 2.31958i
\(195\) −1.46055 1.38143i −0.104592 0.0989261i
\(196\) −18.3073 6.88622i −1.30766 0.491873i
\(197\) 0.899626 0.0640957 0.0320479 0.999486i \(-0.489797\pi\)
0.0320479 + 0.999486i \(0.489797\pi\)
\(198\) −8.47147 11.0501i −0.602041 0.785295i
\(199\) 14.2464 13.2188i 1.00990 0.937053i 0.0118819 0.999929i \(-0.496218\pi\)
0.998021 + 0.0628762i \(0.0200273\pi\)
\(200\) 0.906070 0.136568i 0.0640688 0.00965682i
\(201\) 8.70752 14.7541i 0.614181 1.04068i
\(202\) −15.4905 14.3731i −1.08991 1.01129i
\(203\) 0.0513439 + 0.428290i 0.00360363 + 0.0300600i
\(204\) 5.20027 + 0.0497433i 0.364091 + 0.00348273i
\(205\) −3.30872 + 1.59339i −0.231091 + 0.111288i
\(206\) 31.0661 9.58262i 2.16448 0.667653i
\(207\) 13.5308 1.77544i 0.940455 0.123401i
\(208\) −0.321199 0.818402i −0.0222712 0.0567460i
\(209\) 0.492342 + 6.56985i 0.0340560 + 0.454446i
\(210\) 23.5746 0.824192i 1.62680 0.0568746i
\(211\) 1.74381 23.2695i 0.120049 1.60194i −0.533997 0.845486i \(-0.679311\pi\)
0.654046 0.756455i \(-0.273070\pi\)
\(212\) 27.4759 8.47518i 1.88705 0.582078i
\(213\) 15.0970 2.12802i 1.03443 0.145810i
\(214\) −19.3297 + 33.4800i −1.32135 + 2.28864i
\(215\) −11.7788 + 20.4014i −0.803306 + 1.39137i
\(216\) 1.75715 + 8.86370i 0.119559 + 0.603099i
\(217\) 4.46279 + 16.1938i 0.302954 + 1.09931i
\(218\) −0.109377 + 0.278689i −0.00740797 + 0.0188752i
\(219\) 6.86303 3.22456i 0.463761 0.217896i
\(220\) −12.5455 + 6.04159i −0.845817 + 0.407324i
\(221\) −0.477976 + 0.230181i −0.0321521 + 0.0154836i
\(222\) −23.6034 16.4254i −1.58416 1.10240i
\(223\) −0.934216 + 2.38034i −0.0625597 + 0.159400i −0.958735 0.284300i \(-0.908239\pi\)
0.896176 + 0.443699i \(0.146334\pi\)
\(224\) 17.9445 + 7.67767i 1.19897 + 0.512986i
\(225\) −1.43705 + 0.658483i −0.0958031 + 0.0438989i
\(226\) 12.5014 21.6531i 0.831581 1.44034i
\(227\) 9.98351 17.2919i 0.662629 1.14771i −0.317294 0.948327i \(-0.602774\pi\)
0.979922 0.199379i \(-0.0638925\pi\)
\(228\) 5.62931 13.9494i 0.372810 0.923823i
\(229\) 5.61141 1.73089i 0.370812 0.114381i −0.103748 0.994604i \(-0.533083\pi\)
0.474560 + 0.880223i \(0.342607\pi\)
\(230\) 1.74987 23.3503i 0.115383 1.53968i
\(231\) −9.17644 + 3.18573i −0.603766 + 0.209606i
\(232\) 0.0211878 + 0.282732i 0.00139105 + 0.0185623i
\(233\) 3.28188 + 8.36210i 0.215003 + 0.547819i 0.997164 0.0752571i \(-0.0239777\pi\)
−0.782161 + 0.623077i \(0.785882\pi\)
\(234\) −1.97313 2.57373i −0.128988 0.168250i
\(235\) −10.2702 + 3.16793i −0.669953 + 0.206653i
\(236\) 11.4713 5.52430i 0.746719 0.359601i
\(237\) −6.01800 + 10.1970i −0.390911 + 0.662365i
\(238\) 2.01411 5.89004i 0.130555 0.381795i
\(239\) 1.98241 + 1.83941i 0.128232 + 0.118982i 0.741682 0.670752i \(-0.234028\pi\)
−0.613450 + 0.789733i \(0.710219\pi\)
\(240\) −7.25079 0.0693577i −0.468036 0.00447702i
\(241\) 19.7809 2.98150i 1.27420 0.192055i 0.523117 0.852261i \(-0.324769\pi\)
0.751085 + 0.660206i \(0.229531\pi\)
\(242\) −10.4440 + 9.69058i −0.671363 + 0.622934i
\(243\) −7.13991 13.8572i −0.458025 0.888939i
\(244\) −3.65063 −0.233708
\(245\) 4.62649 15.7929i 0.295576 1.00897i
\(246\) −5.67743 + 1.69196i −0.361980 + 0.107875i
\(247\) 0.114674 + 1.53022i 0.00729653 + 0.0973654i
\(248\) 2.45680 + 10.7639i 0.156007 + 0.683511i
\(249\) 19.1614 9.00288i 1.21430 0.570535i
\(250\) −5.12364 22.4482i −0.324048 1.41975i
\(251\) 3.26632 14.3107i 0.206168 0.903281i −0.760921 0.648844i \(-0.775253\pi\)
0.967089 0.254437i \(-0.0818902\pi\)
\(252\) 22.0076 + 2.74789i 1.38635 + 0.173101i
\(253\) 2.14563 + 9.40062i 0.134895 + 0.591012i
\(254\) 25.0105 12.0444i 1.56930 0.755735i
\(255\) 0.285230 + 4.36617i 0.0178618 + 0.273420i
\(256\) 2.59234 + 1.24841i 0.162021 + 0.0780253i
\(257\) 7.63494 + 1.15078i 0.476254 + 0.0717838i 0.382783 0.923838i \(-0.374966\pi\)
0.0934712 + 0.995622i \(0.470204\pi\)
\(258\) −23.9771 + 29.4833i −1.49275 + 1.83555i
\(259\) −16.0562 + 12.0273i −0.997681 + 0.747340i
\(260\) −2.92203 + 1.40718i −0.181217 + 0.0872694i
\(261\) −0.169950 0.458637i −0.0105197 0.0283889i
\(262\) −30.1059 4.53773i −1.85995 0.280342i
\(263\) −4.91699 + 8.51648i −0.303195 + 0.525148i −0.976858 0.213890i \(-0.931387\pi\)
0.673663 + 0.739039i \(0.264720\pi\)
\(264\) −6.11875 + 1.82348i −0.376583 + 0.112227i
\(265\) 8.83823 + 22.5194i 0.542928 + 1.38336i
\(266\) −13.7308 11.6474i −0.841892 0.714148i
\(267\) 20.5283 + 14.2855i 1.25631 + 0.874258i
\(268\) −17.2321 21.6084i −1.05262 1.31994i
\(269\) −9.69498 6.60992i −0.591113 0.403014i 0.230489 0.973075i \(-0.425967\pi\)
−0.821603 + 0.570061i \(0.806920\pi\)
\(270\) −25.7748 + 7.14737i −1.56861 + 0.434975i
\(271\) −31.5616 + 4.75715i −1.91723 + 0.288976i −0.995178 0.0980828i \(-0.968729\pi\)
−0.922055 + 0.387059i \(0.873491\pi\)
\(272\) −0.699077 + 1.78122i −0.0423878 + 0.108002i
\(273\) −2.13733 + 0.742005i −0.129357 + 0.0449082i
\(274\) 14.9039 + 37.9745i 0.900377 + 2.29412i
\(275\) −0.558446 0.967257i −0.0336756 0.0583278i
\(276\) 5.10401 21.4158i 0.307226 1.28908i
\(277\) 10.7617 + 27.4203i 0.646606 + 1.64753i 0.756824 + 0.653618i \(0.226750\pi\)
−0.110218 + 0.993907i \(0.535155\pi\)
\(278\) −1.35437 1.25668i −0.0812300 0.0753704i
\(279\) −9.20600 16.6740i −0.551149 0.998244i
\(280\) 3.49982 10.2348i 0.209154 0.611648i
\(281\) 0.799819 + 10.6728i 0.0477132 + 0.636689i 0.968882 + 0.247524i \(0.0796171\pi\)
−0.921168 + 0.389164i \(0.872764\pi\)
\(282\) −17.1680 + 2.41996i −1.02234 + 0.144106i
\(283\) −6.51816 3.13898i −0.387464 0.186593i 0.230002 0.973190i \(-0.426127\pi\)
−0.617467 + 0.786597i \(0.711841\pi\)
\(284\) 5.47310 23.9792i 0.324769 1.42291i
\(285\) 12.0576 + 3.84595i 0.714228 + 0.227814i
\(286\) 1.67974 1.55857i 0.0993250 0.0921602i
\(287\) −0.125158 + 4.13103i −0.00738787 + 0.243847i
\(288\) −21.8171 3.71653i −1.28558 0.218999i
\(289\) −15.1414 4.67050i −0.890670 0.274735i
\(290\) −0.829869 + 0.125083i −0.0487316 + 0.00734511i
\(291\) −25.6276 0.245142i −1.50232 0.0143705i
\(292\) −0.914169 12.1987i −0.0534977 0.713877i
\(293\) −6.34560 + 10.9909i −0.370714 + 0.642095i −0.989676 0.143326i \(-0.954220\pi\)
0.618962 + 0.785421i \(0.287554\pi\)
\(294\) 11.4068 23.9716i 0.665259 1.39805i
\(295\) 5.35616 + 9.27713i 0.311847 + 0.540136i
\(296\) −10.8948 + 7.42795i −0.633248 + 0.431741i
\(297\) 9.27472 5.94091i 0.538174 0.344727i
\(298\) −11.3346 + 28.8800i −0.656594 + 1.67297i
\(299\) 0.499749 + 2.18955i 0.0289013 + 0.126625i
\(300\) 0.166237 + 2.54468i 0.00959771 + 0.146917i
\(301\) 14.2644 + 22.3472i 0.822185 + 1.28807i
\(302\) 27.8668 + 8.59577i 1.60355 + 0.494631i
\(303\) 12.3619 11.2520i 0.710172 0.646413i
\(304\) 4.05728 + 3.76460i 0.232701 + 0.215915i
\(305\) −0.229532 3.06289i −0.0131430 0.175381i
\(306\) −0.662019 + 7.02724i −0.0378451 + 0.401721i
\(307\) −5.98269 2.88111i −0.341450 0.164434i 0.255298 0.966862i \(-0.417827\pi\)
−0.596748 + 0.802429i \(0.703541\pi\)
\(308\) −0.474556 + 15.6634i −0.0270404 + 0.892506i
\(309\) 5.48254 + 25.1260i 0.311891 + 1.42937i
\(310\) −31.2291 + 9.63290i −1.77369 + 0.547112i
\(311\) 0.887605 1.11302i 0.0503314 0.0631136i −0.756029 0.654539i \(-0.772863\pi\)
0.806360 + 0.591425i \(0.201434\pi\)
\(312\) −1.42515 + 0.424715i −0.0806832 + 0.0240447i
\(313\) −13.6591 −0.772059 −0.386030 0.922486i \(-0.626154\pi\)
−0.386030 + 0.922486i \(0.626154\pi\)
\(314\) 8.58440 10.7645i 0.484446 0.607476i
\(315\) −0.921771 + 18.6372i −0.0519359 + 1.05009i
\(316\) 11.9096 + 14.9341i 0.669965 + 0.840110i
\(317\) −4.45201 5.58264i −0.250050 0.313553i 0.640927 0.767602i \(-0.278550\pi\)
−0.890976 + 0.454050i \(0.849979\pi\)
\(318\) 8.31962 + 38.1281i 0.466541 + 2.13812i
\(319\) 0.311367 0.149946i 0.0174332 0.00839538i
\(320\) −10.8145 + 27.5550i −0.604551 + 1.54037i
\(321\) −25.1015 17.4680i −1.40103 0.974967i
\(322\) −22.4122 13.8612i −1.24898 0.772453i
\(323\) 2.08233 2.61116i 0.115864 0.145289i
\(324\) −24.9923 + 2.79417i −1.38846 + 0.155232i
\(325\) −0.130070 0.225289i −0.00721501 0.0124968i
\(326\) −0.233191 0.594162i −0.0129153 0.0329076i
\(327\) −0.212381 0.104791i −0.0117447 0.00579498i
\(328\) −0.203006 + 2.70892i −0.0112091 + 0.149575i
\(329\) −2.16410 + 11.9003i −0.119311 + 0.656084i
\(330\) −6.73595 17.6577i −0.370802 0.972025i
\(331\) −17.8609 + 22.3969i −0.981726 + 1.23105i −0.00879217 + 0.999961i \(0.502799\pi\)
−0.972934 + 0.231084i \(0.925773\pi\)
\(332\) −2.55234 34.0586i −0.140078 1.86921i
\(333\) 14.5204 17.5101i 0.795712 0.959545i
\(334\) 2.66011 35.4967i 0.145555 1.94229i
\(335\) 17.0460 15.8164i 0.931324 0.864143i
\(336\) −3.83080 + 7.20538i −0.208987 + 0.393086i
\(337\) −2.67420 2.48130i −0.145673 0.135165i 0.603970 0.797007i \(-0.293585\pi\)
−0.749643 + 0.661842i \(0.769775\pi\)
\(338\) −20.4747 + 18.9977i −1.11368 + 1.03334i
\(339\) 16.2343 + 11.2973i 0.881727 + 0.613587i
\(340\) 6.74512 + 2.08059i 0.365806 + 0.112836i
\(341\) 11.1193 7.58098i 0.602142 0.410533i
\(342\) 18.2216 + 9.20856i 0.985313 + 0.497942i
\(343\) −13.3722 12.8134i −0.722032 0.691860i
\(344\) 8.71290 + 15.0912i 0.469768 + 0.813662i
\(345\) 18.2888 + 2.93577i 0.984638 + 0.158057i
\(346\) 6.50476 + 28.4992i 0.349698 + 1.53213i
\(347\) 1.15953 + 1.45401i 0.0622469 + 0.0780551i 0.811980 0.583685i \(-0.198390\pi\)
−0.749733 + 0.661740i \(0.769818\pi\)
\(348\) −0.789023 0.00754743i −0.0422961 0.000404585i
\(349\) −8.45778 + 2.60888i −0.452735 + 0.139650i −0.512733 0.858548i \(-0.671367\pi\)
0.0599979 + 0.998199i \(0.480891\pi\)
\(350\) 2.95396 + 0.769035i 0.157896 + 0.0411067i
\(351\) 2.16022 1.38373i 0.115304 0.0738580i
\(352\) 1.16858 15.5936i 0.0622853 0.831140i
\(353\) 20.4358 + 18.9616i 1.08769 + 1.00922i 0.999914 + 0.0130839i \(0.00416484\pi\)
0.0877710 + 0.996141i \(0.472026\pi\)
\(354\) 6.15920 + 16.1458i 0.327358 + 0.858141i
\(355\) 20.4628 + 3.08426i 1.08605 + 0.163696i
\(356\) 33.3362 22.7282i 1.76681 1.20459i
\(357\) 4.50846 + 1.98020i 0.238613 + 0.104803i
\(358\) −38.1154 25.9866i −2.01446 1.37344i
\(359\) −1.54392 1.43255i −0.0814849 0.0756069i 0.638379 0.769722i \(-0.279605\pi\)
−0.719864 + 0.694115i \(0.755796\pi\)
\(360\) −1.15036 + 12.2109i −0.0606292 + 0.643571i
\(361\) 4.66982 + 8.08836i 0.245780 + 0.425703i
\(362\) −35.8828 −1.88596
\(363\) −6.94226 8.87821i −0.364374 0.465985i
\(364\) −0.110531 + 3.64825i −0.00579342 + 0.191220i
\(365\) 10.1773 1.53398i 0.532704 0.0802923i
\(366\) 0.417516 4.93718i 0.0218239 0.258070i
\(367\) 0.549072 7.32686i 0.0286613 0.382459i −0.964366 0.264573i \(-0.914769\pi\)
0.993027 0.117886i \(-0.0376118\pi\)
\(368\) 6.69295 + 4.56318i 0.348894 + 0.237872i
\(369\) −0.955211 4.58792i −0.0497263 0.238837i
\(370\) −24.3355 30.5157i −1.26514 1.58644i
\(371\) 27.0752 + 2.85579i 1.40568 + 0.148265i
\(372\) −30.4260 + 4.28876i −1.57752 + 0.222362i
\(373\) −3.93296 6.81208i −0.203641 0.352716i 0.746058 0.665881i \(-0.231944\pi\)
−0.949699 + 0.313165i \(0.898611\pi\)
\(374\) −4.98721 −0.257882
\(375\) 18.0359 2.54228i 0.931369 0.131283i
\(376\) −1.76908 + 7.75085i −0.0912334 + 0.399719i
\(377\) 0.0725220 0.0349247i 0.00373507 0.00179872i
\(378\) −6.23327 + 29.4492i −0.320605 + 1.51470i
\(379\) 27.2269 + 13.1118i 1.39855 + 0.673507i 0.972867 0.231365i \(-0.0743190\pi\)
0.425685 + 0.904872i \(0.360033\pi\)
\(380\) 12.7300 15.9629i 0.653036 0.818881i
\(381\) 7.82667 + 20.5169i 0.400972 + 1.05112i
\(382\) 10.2583 44.9443i 0.524858 2.29955i
\(383\) 22.0872 + 15.0588i 1.12860 + 0.769468i 0.975773 0.218784i \(-0.0702091\pi\)
0.152829 + 0.988253i \(0.451161\pi\)
\(384\) −11.2816 + 19.1157i −0.575713 + 0.975495i
\(385\) −13.1715 + 0.586676i −0.671281 + 0.0298998i
\(386\) 10.9659 48.0447i 0.558149 2.44541i
\(387\) −21.6415 20.8648i −1.10010 1.06062i
\(388\) −15.1053 + 38.4876i −0.766853 + 1.95391i
\(389\) −8.10339 2.49957i −0.410858 0.126733i 0.0824342 0.996597i \(-0.473731\pi\)
−0.493292 + 0.869864i \(0.664207\pi\)
\(390\) −1.56890 4.11275i −0.0794445 0.208257i
\(391\) 2.44400 4.23314i 0.123599 0.214079i
\(392\) −8.40591 8.80485i −0.424562 0.444712i
\(393\) 5.58357 23.4280i 0.281654 1.18178i
\(394\) 1.77473 + 0.854663i 0.0894094 + 0.0430573i
\(395\) −11.7810 + 10.9311i −0.592765 + 0.550005i
\(396\) −3.62182 17.3958i −0.182003 0.874170i
\(397\) −19.6813 6.07087i −0.987775 0.304688i −0.241555 0.970387i \(-0.577657\pi\)
−0.746220 + 0.665699i \(0.768133\pi\)
\(398\) 40.6626 12.5427i 2.03823 0.628711i
\(399\) 10.0961 10.0467i 0.505438 0.502964i
\(400\) −0.896609 0.276567i −0.0448304 0.0138284i
\(401\) 3.00788 + 2.05074i 0.150207 + 0.102409i 0.636091 0.771614i \(-0.280550\pi\)
−0.485885 + 0.874023i \(0.661503\pi\)
\(402\) 31.1944 20.8337i 1.55583 1.03909i
\(403\) 2.58984 1.76573i 0.129009 0.0879571i
\(404\) −9.85217 25.1029i −0.490164 1.24892i
\(405\) −3.91570 20.7930i −0.194573 1.03321i
\(406\) −0.305596 + 0.893680i −0.0151665 + 0.0443526i
\(407\) 13.2798 + 9.05400i 0.658254 + 0.448790i
\(408\) 2.90250 + 1.43213i 0.143695 + 0.0709011i
\(409\) −2.71279 + 3.40173i −0.134139 + 0.168205i −0.844364 0.535770i \(-0.820022\pi\)
0.710225 + 0.703974i \(0.248593\pi\)
\(410\) −8.04098 −0.397116
\(411\) −30.9262 + 9.21644i −1.52548 + 0.454613i
\(412\) 41.0249 + 6.18350i 2.02115 + 0.304639i
\(413\) 12.0437 0.536444i 0.592633 0.0263967i
\(414\) 28.3794 + 9.35205i 1.39477 + 0.459628i
\(415\) 28.4148 4.28284i 1.39483 0.210236i
\(416\) 0.272179 3.63198i 0.0133447 0.178072i
\(417\) 1.08083 0.983794i 0.0529285 0.0481766i
\(418\) −5.27023 + 13.4283i −0.257775 + 0.656801i
\(419\) 22.3148 3.36341i 1.09015 0.164314i 0.420721 0.907190i \(-0.361777\pi\)
0.669428 + 0.742877i \(0.266539\pi\)
\(420\) 27.5618 + 12.1057i 1.34488 + 0.590696i
\(421\) −12.3658 1.86385i −0.602673 0.0908383i −0.159383 0.987217i \(-0.550951\pi\)
−0.443290 + 0.896378i \(0.646189\pi\)
\(422\) 25.5466 44.2480i 1.24359 2.15396i
\(423\) −0.763108 13.6937i −0.0371036 0.665811i
\(424\) 17.6950 + 2.66710i 0.859347 + 0.129526i
\(425\) −0.125988 + 0.551991i −0.00611133 + 0.0267755i
\(426\) 31.8040 + 10.1444i 1.54091 + 0.491497i
\(427\) −3.17799 1.35972i −0.153793 0.0658014i
\(428\) −40.7627 + 27.7915i −1.97034 + 1.34335i
\(429\) 1.11655 + 1.42791i 0.0539074 + 0.0689403i
\(430\) −42.6182 + 29.0566i −2.05523 + 1.40123i
\(431\) −8.33799 + 2.57193i −0.401627 + 0.123885i −0.488986 0.872291i \(-0.662633\pi\)
0.0873597 + 0.996177i \(0.472157\pi\)
\(432\) 2.31698 8.95827i 0.111476 0.431005i
\(433\) −4.93495 21.6214i −0.237158 1.03906i −0.943548 0.331236i \(-0.892535\pi\)
0.706390 0.707823i \(-0.250323\pi\)
\(434\) −6.58051 + 36.1858i −0.315875 + 1.73698i
\(435\) −0.0432772 0.662467i −0.00207498 0.0317629i
\(436\) −0.280070 + 0.259867i −0.0134129 + 0.0124453i
\(437\) −8.81525 11.0540i −0.421691 0.528783i
\(438\) 16.6023 + 0.158810i 0.793291 + 0.00758825i
\(439\) 36.8734 + 17.7573i 1.75987 + 0.847509i 0.973140 + 0.230213i \(0.0739425\pi\)
0.786731 + 0.617296i \(0.211772\pi\)
\(440\) −8.66602 −0.413136
\(441\) 18.1348 + 10.5891i 0.863562 + 0.504243i
\(442\) −1.16160 −0.0552515
\(443\) −11.0008 5.29769i −0.522663 0.251701i 0.153900 0.988086i \(-0.450817\pi\)
−0.676562 + 0.736385i \(0.736531\pi\)
\(444\) −18.0438 31.9547i −0.856319 1.51650i
\(445\) 21.1650 + 26.5401i 1.00332 + 1.25812i
\(446\) −4.10433 + 3.80827i −0.194346 + 0.180327i
\(447\) −22.0086 10.8593i −1.04097 0.513629i
\(448\) 21.9088 + 25.0953i 1.03510 + 1.18564i
\(449\) 2.81097 + 12.3157i 0.132658 + 0.581213i 0.996938 + 0.0782009i \(0.0249176\pi\)
−0.864280 + 0.503012i \(0.832225\pi\)
\(450\) −3.46049 0.0662089i −0.163129 0.00312112i
\(451\) 3.16408 0.975990i 0.148991 0.0459576i
\(452\) 26.3631 17.9741i 1.24002 0.845429i
\(453\) −8.63299 + 21.3925i −0.405613 + 1.00511i
\(454\) 36.1225 24.6279i 1.69531 1.15585i
\(455\) −3.06784 + 0.136646i −0.143822 + 0.00640605i
\(456\) 6.92330 6.30173i 0.324213 0.295106i
\(457\) −2.98430 + 13.0751i −0.139600 + 0.611627i 0.855923 + 0.517103i \(0.172990\pi\)
−0.995523 + 0.0945231i \(0.969867\pi\)
\(458\) 12.7142 + 1.91636i 0.594096 + 0.0895456i
\(459\) −5.49497 0.990243i −0.256483 0.0462206i
\(460\) 14.9411 25.8787i 0.696631 1.20660i
\(461\) −24.4539 3.68583i −1.13893 0.171666i −0.447620 0.894224i \(-0.647728\pi\)
−0.691311 + 0.722557i \(0.742966\pi\)
\(462\) −21.1292 2.43320i −0.983020 0.113203i
\(463\) 35.9100 5.41256i 1.66888 0.251543i 0.754471 0.656334i \(-0.227894\pi\)
0.914409 + 0.404791i \(0.132656\pi\)
\(464\) 0.106069 0.270260i 0.00492413 0.0125465i
\(465\) −5.51131 25.2579i −0.255581 1.17131i
\(466\) −1.46987 + 19.6141i −0.0680905 + 0.908605i
\(467\) 11.3506 1.71083i 0.525242 0.0791676i 0.118932 0.992902i \(-0.462053\pi\)
0.406311 + 0.913735i \(0.366815\pi\)
\(468\) −0.843577 4.05173i −0.0389944 0.187292i
\(469\) −6.95279 25.2290i −0.321050 1.16497i
\(470\) −23.2700 3.50738i −1.07336 0.161783i
\(471\) 7.91271 + 7.48403i 0.364598 + 0.344846i
\(472\) 7.92402 0.364733
\(473\) 13.2432 16.6065i 0.608924 0.763566i
\(474\) −21.5593 + 14.3987i −0.990249 + 0.661355i
\(475\) 1.35313 + 0.922546i 0.0620857 + 0.0423293i
\(476\) 5.57709 5.65699i 0.255626 0.259288i
\(477\) −30.6084 + 4.01626i −1.40146 + 0.183892i
\(478\) 2.16330 + 5.51200i 0.0989471 + 0.252113i
\(479\) −7.46305 + 5.08822i −0.340995 + 0.232487i −0.721694 0.692213i \(-0.756636\pi\)
0.380698 + 0.924699i \(0.375684\pi\)
\(480\) −26.9385 13.2918i −1.22957 0.606685i
\(481\) 3.09306 + 2.10881i 0.141031 + 0.0961536i
\(482\) 41.8550 + 12.9106i 1.90645 + 0.588060i
\(483\) 12.4198 16.7421i 0.565119 0.761790i
\(484\) −17.3739 + 5.35913i −0.789722 + 0.243597i
\(485\) −33.2409 10.2535i −1.50939 0.465586i
\(486\) −0.920553 34.1196i −0.0417571 1.54770i
\(487\) 12.9257 11.9933i 0.585719 0.543467i −0.330676 0.943744i \(-0.607277\pi\)
0.916394 + 0.400277i \(0.131086\pi\)
\(488\) −2.04701 0.985788i −0.0926638 0.0446245i
\(489\) 0.483881 0.144204i 0.0218819 0.00652111i
\(490\) 24.1304 26.7599i 1.09010 1.20889i
\(491\) 5.50463 9.53431i 0.248421 0.430277i −0.714667 0.699465i \(-0.753422\pi\)
0.963088 + 0.269188i \(0.0867551\pi\)
\(492\) −7.46460 1.19824i −0.336530 0.0540207i
\(493\) −0.167407 0.0516383i −0.00753964 0.00232567i
\(494\) −1.22752 + 3.12766i −0.0552285 + 0.140720i
\(495\) 14.3674 4.13247i 0.645765 0.185741i
\(496\) 2.51576 11.0223i 0.112961 0.494915i
\(497\) 13.6958 18.8361i 0.614342 0.844916i
\(498\) 46.3533 + 0.443394i 2.07714 + 0.0198690i
\(499\) −13.6043 9.27527i −0.609013 0.415218i 0.219161 0.975689i \(-0.429668\pi\)
−0.828174 + 0.560471i \(0.810620\pi\)
\(500\) 6.53855 28.6473i 0.292413 1.28114i
\(501\) 27.8023 + 4.46290i 1.24212 + 0.199388i
\(502\) 20.0390 25.1281i 0.894384 1.12152i
\(503\) 31.9571 + 15.3897i 1.42490 + 0.686194i 0.978041 0.208412i \(-0.0668296\pi\)
0.446855 + 0.894606i \(0.352544\pi\)
\(504\) 11.5982 + 7.48358i 0.516627 + 0.333345i
\(505\) 20.4420 9.84434i 0.909656 0.438067i
\(506\) −4.69801 + 20.5833i −0.208852 + 0.915040i
\(507\) −13.6098 17.4051i −0.604433 0.772989i
\(508\) 35.4255 1.57175
\(509\) 4.61572 + 7.99467i 0.204588 + 0.354357i 0.950002 0.312245i \(-0.101081\pi\)
−0.745413 + 0.666603i \(0.767748\pi\)
\(510\) −3.58526 + 8.88427i −0.158758 + 0.393402i
\(511\) 3.74775 10.9599i 0.165791 0.484836i
\(512\) −12.0523 15.1131i −0.532640 0.667909i
\(513\) −8.47309 + 13.7491i −0.374096 + 0.607036i
\(514\) 13.9685 + 9.52353i 0.616122 + 0.420065i
\(515\) −2.60856 + 34.8088i −0.114947 + 1.53386i
\(516\) −43.8932 + 20.6230i −1.93229 + 0.907876i
\(517\) 9.58231 1.44430i 0.421429 0.0635203i
\(518\) −43.1007 + 8.47304i −1.89374 + 0.372284i
\(519\) −22.8976 + 3.22757i −1.00509 + 0.141675i
\(520\) −2.01845 −0.0885148
\(521\) 16.6765 + 28.8845i 0.730610 + 1.26545i 0.956623 + 0.291329i \(0.0940975\pi\)
−0.226013 + 0.974124i \(0.572569\pi\)
\(522\) 0.100446 1.06623i 0.00439642 0.0466674i
\(523\) 0.645723 + 0.599144i 0.0282355 + 0.0261987i 0.694164 0.719817i \(-0.255774\pi\)
−0.665929 + 0.746015i \(0.731965\pi\)
\(524\) −32.1024 21.8870i −1.40240 0.956140i
\(525\) −0.803081 + 2.27714i −0.0350493 + 0.0993825i
\(526\) −17.7907 + 12.1295i −0.775713 + 0.528872i
\(527\) −6.74591 1.01678i −0.293856 0.0442917i
\(528\) 6.45527 + 1.03622i 0.280930 + 0.0450956i
\(529\) 1.69136 + 1.56935i 0.0735374 + 0.0682327i
\(530\) −3.95842 + 52.8214i −0.171943 + 2.29442i
\(531\) −13.1372 + 3.77864i −0.570106 + 0.163979i
\(532\) −9.33817 20.9946i −0.404861 0.910233i
\(533\) 0.736962 0.227323i 0.0319214 0.00984644i
\(534\) 26.9254 + 47.6838i 1.16518 + 2.06348i
\(535\) −25.8801 32.4526i −1.11889 1.40305i
\(536\) −3.82756 16.7696i −0.165325 0.724338i
\(537\) 23.0242 28.3116i 0.993566 1.22173i
\(538\) −12.8461 22.2501i −0.553834 0.959268i
\(539\) −6.24713 + 13.4587i −0.269083 + 0.579708i
\(540\) −33.5927 6.05371i −1.44560 0.260510i
\(541\) 2.23732 1.52538i 0.0961900 0.0655812i −0.514270 0.857628i \(-0.671937\pi\)
0.610460 + 0.792047i \(0.290985\pi\)
\(542\) −66.7822 20.5996i −2.86854 0.884828i
\(543\) 2.39185 28.2839i 0.102644 1.21378i
\(544\) −5.81091 + 5.39174i −0.249141 + 0.231169i
\(545\) −0.235638 0.218640i −0.0100936 0.00936552i
\(546\) −4.92131 0.566728i −0.210613 0.0242537i
\(547\) −19.5735 + 18.1615i −0.836900 + 0.776530i −0.976917 0.213619i \(-0.931475\pi\)
0.140017 + 0.990149i \(0.455284\pi\)
\(548\) −3.89044 + 51.9144i −0.166192 + 2.21767i
\(549\) 3.86381 + 0.658200i 0.164903 + 0.0280913i
\(550\) −0.182754 2.43868i −0.00779264 0.103986i
\(551\) −0.315946 + 0.396184i −0.0134598 + 0.0168780i
\(552\) 8.64492 10.6302i 0.367952 0.452451i
\(553\) 4.80525 + 17.4365i 0.204340 + 0.741474i
\(554\) −4.81988 + 64.3168i −0.204777 + 2.73256i
\(555\) 25.6756 17.1479i 1.08987 0.727888i
\(556\) −0.861400 2.19481i −0.0365315 0.0930807i
\(557\) −5.96694 10.3351i −0.252828 0.437910i 0.711476 0.702711i \(-0.248027\pi\)
−0.964303 + 0.264801i \(0.914694\pi\)
\(558\) −2.32043 41.6392i −0.0982314 1.76273i
\(559\) 3.08454 3.86790i 0.130462 0.163595i
\(560\) −7.77620 + 7.88761i −0.328605 + 0.333312i
\(561\) 0.332435 3.93108i 0.0140354 0.165970i
\(562\) −8.56158 + 21.8146i −0.361149 + 0.920192i
\(563\) −12.2750 + 5.91130i −0.517327 + 0.249132i −0.674282 0.738474i \(-0.735547\pi\)
0.156954 + 0.987606i \(0.449832\pi\)
\(564\) −21.0793 6.72357i −0.887598 0.283113i
\(565\) 16.7379 + 20.9886i 0.704167 + 0.882997i
\(566\) −9.87651 12.3848i −0.415141 0.520570i
\(567\) −22.7973 6.87627i −0.957397 0.288776i
\(568\) 9.54408 11.9679i 0.400461 0.502162i
\(569\) −37.9869 −1.59249 −0.796247 0.604971i \(-0.793185\pi\)
−0.796247 + 0.604971i \(0.793185\pi\)
\(570\) 20.1326 + 19.0420i 0.843264 + 0.797580i
\(571\) −23.8183 + 29.8672i −0.996764 + 1.24990i −0.0285986 + 0.999591i \(0.509104\pi\)
−0.968165 + 0.250312i \(0.919467\pi\)
\(572\) 2.79430 0.861928i 0.116836 0.0360390i
\(573\) 34.7428 + 11.0818i 1.45140 + 0.462947i
\(574\) −4.17147 + 8.03053i −0.174114 + 0.335188i
\(575\) 2.15951 + 1.03996i 0.0900577 + 0.0433695i
\(576\) −30.7973 21.8718i −1.28322 0.911325i
\(577\) 0.328594 + 4.38479i 0.0136796 + 0.182541i 0.999858 + 0.0168541i \(0.00536508\pi\)
−0.986178 + 0.165687i \(0.947016\pi\)
\(578\) −25.4329 23.5983i −1.05787 0.981560i
\(579\) 37.1394 + 11.8462i 1.54346 + 0.492311i
\(580\) −1.02342 0.315683i −0.0424952 0.0131080i
\(581\) 10.4636 30.5997i 0.434104 1.26949i
\(582\) −50.3237 24.8304i −2.08598 1.02925i
\(583\) −4.85369 21.2654i −0.201019 0.880722i
\(584\) 2.78145 7.08703i 0.115097 0.293263i
\(585\) 3.34638 0.962515i 0.138356 0.0397951i
\(586\) −22.9598 + 15.6537i −0.948459 + 0.646648i
\(587\) 21.4353 + 37.1270i 0.884730 + 1.53240i 0.846023 + 0.533146i \(0.178990\pi\)
0.0387068 + 0.999251i \(0.487676\pi\)
\(588\) 26.3883 21.2459i 1.08824 0.876165i
\(589\) −9.86647 + 17.0892i −0.406541 + 0.704150i
\(590\) 1.75282 + 23.3898i 0.0721626 + 0.962943i
\(591\) −0.791971 + 1.34193i −0.0325773 + 0.0551994i
\(592\) 13.3517 2.01244i 0.548750 0.0827108i
\(593\) 24.5709 + 7.57912i 1.00901 + 0.311237i 0.754830 0.655921i \(-0.227719\pi\)
0.254177 + 0.967158i \(0.418196\pi\)
\(594\) 23.9406 2.90869i 0.982293 0.119345i
\(595\) 5.09689 + 4.32352i 0.208952 + 0.177247i
\(596\) −29.0231 + 26.9295i −1.18883 + 1.10307i
\(597\) 7.17612 + 32.8876i 0.293699 + 1.34600i
\(598\) −1.09424 + 4.79417i −0.0447467 + 0.196048i
\(599\) −6.26192 3.01558i −0.255855 0.123213i 0.301560 0.953447i \(-0.402493\pi\)
−0.557415 + 0.830234i \(0.688207\pi\)
\(600\) −0.593932 + 1.47176i −0.0242472 + 0.0600845i
\(601\) −2.35223 31.3883i −0.0959493 1.28035i −0.812559 0.582879i \(-0.801926\pi\)
0.716609 0.697475i \(-0.245693\pi\)
\(602\) 6.90955 + 57.6367i 0.281612 + 2.34909i
\(603\) 14.3424 + 25.9771i 0.584070 + 1.05787i
\(604\) 27.2810 + 25.3131i 1.11005 + 1.02997i
\(605\) −5.58870 14.2398i −0.227213 0.578929i
\(606\) 35.0764 10.4533i 1.42488 0.424635i
\(607\) −17.0190 29.4779i −0.690782 1.19647i −0.971582 0.236703i \(-0.923933\pi\)
0.280800 0.959766i \(-0.409400\pi\)
\(608\) 8.37687 + 21.3439i 0.339727 + 0.865610i
\(609\) −0.684057 0.300451i −0.0277194 0.0121749i
\(610\) 2.45700 6.26034i 0.0994810 0.253474i
\(611\) 2.23186 0.336399i 0.0902916 0.0136093i
\(612\) −4.65217 + 7.71317i −0.188053 + 0.311787i
\(613\) −10.2888 7.01476i −0.415559 0.283323i 0.337437 0.941348i \(-0.390440\pi\)
−0.752996 + 0.658025i \(0.771392\pi\)
\(614\) −9.06516 11.3673i −0.365840 0.458749i
\(615\) 0.535992 6.33816i 0.0216133 0.255579i
\(616\) −4.49572 + 8.65476i −0.181138 + 0.348710i
\(617\) −7.17880 18.2913i −0.289008 0.736379i −0.999467 0.0326413i \(-0.989608\pi\)
0.710460 0.703738i \(-0.248487\pi\)
\(618\) −13.0546 + 54.7756i −0.525134 + 2.20340i
\(619\) −2.47850 + 4.29288i −0.0996192 + 0.172546i −0.911527 0.411240i \(-0.865096\pi\)
0.811908 + 0.583786i \(0.198429\pi\)
\(620\) −41.2401 6.21595i −1.65624 0.249639i
\(621\) −9.26328 + 21.7461i −0.371723 + 0.872643i
\(622\) 2.80840 1.35246i 0.112607 0.0542285i
\(623\) 37.4855 7.36916i 1.50183 0.295239i
\(624\) 1.50353 + 0.241351i 0.0601894 + 0.00966176i
\(625\) 27.0514 + 4.07734i 1.08205 + 0.163093i
\(626\) −26.9458 12.9764i −1.07697 0.518643i
\(627\) −10.2333 5.04926i −0.408680 0.201648i
\(628\) 15.8304 7.62354i 0.631703 0.304212i
\(629\) −1.81303 7.94339i −0.0722901 0.316724i
\(630\) −19.5241 + 35.8906i −0.777860 + 1.42992i
\(631\) 4.76571 20.8799i 0.189720 0.831217i −0.787044 0.616897i \(-0.788389\pi\)
0.976764 0.214320i \(-0.0687534\pi\)
\(632\) 2.64533 + 11.5899i 0.105225 + 0.461023i
\(633\) 33.1748 + 23.0861i 1.31858 + 0.917590i
\(634\) −3.47902 15.2426i −0.138170 0.605360i
\(635\) 2.22736 + 29.7221i 0.0883901 + 1.17948i
\(636\) −11.5459 + 48.4453i −0.457826 + 1.92098i
\(637\) −1.45505 + 3.13474i −0.0576512 + 0.124203i
\(638\) 0.756696 0.0299579
\(639\) −10.1161 + 24.3927i −0.400187 + 0.964961i
\(640\) −22.0851 + 20.4920i −0.872992 + 0.810018i
\(641\) −43.4612 + 6.55073i −1.71662 + 0.258738i −0.932316 0.361644i \(-0.882216\pi\)
−0.784299 + 0.620382i \(0.786977\pi\)
\(642\) −32.9238 58.3066i −1.29940 2.30118i
\(643\) −11.1478 10.3436i −0.439626 0.407913i 0.429060 0.903276i \(-0.358845\pi\)
−0.868686 + 0.495363i \(0.835035\pi\)
\(644\) −18.0940 28.3469i −0.713003 1.11702i
\(645\) −20.0625 35.5299i −0.789961 1.39899i
\(646\) 6.58854 3.17287i 0.259222 0.124835i
\(647\) −38.2031 + 11.7841i −1.50192 + 0.463281i −0.933232 0.359274i \(-0.883024\pi\)
−0.568686 + 0.822554i \(0.692548\pi\)
\(648\) −14.7684 5.18196i −0.580158 0.203567i
\(649\) −3.52871 8.99100i −0.138514 0.352928i
\(650\) −0.0425661 0.568005i −0.00166958 0.0222790i
\(651\) −28.0842 7.59903i −1.10071 0.297829i
\(652\) 0.0608712 0.812270i 0.00238390 0.0318109i
\(653\) 20.7941 6.41412i 0.813735 0.251004i 0.140166 0.990128i \(-0.455236\pi\)
0.673569 + 0.739124i \(0.264760\pi\)
\(654\) −0.319417 0.408492i −0.0124902 0.0159733i
\(655\) 16.3449 28.3101i 0.638647 1.10617i
\(656\) 1.39086 2.40903i 0.0543038 0.0940569i
\(657\) −1.23185 + 13.0759i −0.0480590 + 0.510140i
\(658\) −15.5747 + 21.4202i −0.607165 + 0.835045i
\(659\) 11.2674 28.7089i 0.438916 1.11834i −0.524756 0.851253i \(-0.675843\pi\)
0.963672 0.267087i \(-0.0860613\pi\)
\(660\) 2.03229 24.0321i 0.0791068 0.935447i
\(661\) −15.4113 + 7.42169i −0.599430 + 0.288670i −0.708888 0.705321i \(-0.750803\pi\)
0.109458 + 0.993991i \(0.465089\pi\)
\(662\) −56.5124 + 27.2150i −2.19642 + 1.05774i
\(663\) 0.0774290 0.915607i 0.00300709 0.0355592i
\(664\) 7.76574 19.7868i 0.301369 0.767876i
\(665\) 17.0274 9.15478i 0.660296 0.355007i
\(666\) 45.2798 20.7481i 1.75456 0.803972i
\(667\) −0.370822 + 0.642283i −0.0143583 + 0.0248693i
\(668\) 22.7131 39.3402i 0.878796 1.52212i
\(669\) −2.72821 3.48902i −0.105479 0.134893i
\(670\) 48.6532 15.0075i 1.87964 0.579792i
\(671\) −0.206955 + 2.76163i −0.00798943 + 0.106611i
\(672\) −27.2496 + 20.0080i −1.05117 + 0.771826i
\(673\) 0.0919280 + 1.22669i 0.00354356 + 0.0472856i 0.998695 0.0510663i \(-0.0162620\pi\)
−0.995152 + 0.0983519i \(0.968643\pi\)
\(674\) −2.91822 7.43549i −0.112405 0.286404i
\(675\) 0.282855 2.72325i 0.0108871 0.104818i
\(676\) −34.0603 + 10.5062i −1.31001 + 0.404085i
\(677\) 12.1460 5.84922i 0.466810 0.224804i −0.185667 0.982613i \(-0.559444\pi\)
0.652476 + 0.757809i \(0.273730\pi\)
\(678\) 21.2933 + 37.7096i 0.817766 + 1.44823i
\(679\) −27.4847 + 27.8785i −1.05477 + 1.06988i
\(680\) 3.22035 + 2.98805i 0.123495 + 0.114586i
\(681\) 17.0047 + 30.1145i 0.651620 + 1.15399i
\(682\) 29.1375 4.39176i 1.11573 0.168169i
\(683\) −23.7174 + 22.0065i −0.907522 + 0.842057i −0.987961 0.154703i \(-0.950558\pi\)
0.0804395 + 0.996759i \(0.474368\pi\)
\(684\) 15.8520 + 20.6771i 0.606115 + 0.790609i
\(685\) −43.8009 −1.67355
\(686\) −14.2068 37.9814i −0.542420 1.45014i
\(687\) −2.35803 + 9.89401i −0.0899646 + 0.377480i
\(688\) −1.33348 17.7941i −0.0508386 0.678394i
\(689\) −1.13050 4.95303i −0.0430685 0.188695i
\(690\) 33.2900 + 23.1663i 1.26733 + 0.881925i
\(691\) 2.95844 + 12.9618i 0.112544 + 0.493089i 0.999511 + 0.0312563i \(0.00995082\pi\)
−0.886967 + 0.461833i \(0.847192\pi\)
\(692\) −8.30106 + 36.3693i −0.315559 + 1.38255i
\(693\) 3.32634 16.4925i 0.126357 0.626499i
\(694\) 0.906115 + 3.96995i 0.0343956 + 0.150697i
\(695\) 1.78729 0.860715i 0.0677959 0.0326488i
\(696\) −0.440389 0.217294i −0.0166929 0.00823649i
\(697\) −1.51231 0.728292i −0.0572829 0.0275860i
\(698\) −19.1635 2.88843i −0.725348 0.109329i
\(699\) −15.3625 2.46602i −0.581062 0.0932736i
\(700\) 2.97056 + 2.51983i 0.112277 + 0.0952405i
\(701\) 0.969329 0.466804i 0.0366110 0.0176309i −0.415489 0.909598i \(-0.636389\pi\)
0.452100 + 0.891967i \(0.350675\pi\)
\(702\) 5.57612 0.677479i 0.210457 0.0255698i
\(703\) −23.3039 3.51250i −0.878924 0.132476i
\(704\) 13.3448 23.1139i 0.502952 0.871139i
\(705\) 4.31575 18.1083i 0.162540 0.681999i
\(706\) 22.3005 + 56.8206i 0.839289 + 2.13847i
\(707\) 0.773256 25.5224i 0.0290813 0.959869i
\(708\) −1.85828 + 21.9744i −0.0698385 + 0.825848i
\(709\) −2.23480 2.80236i −0.0839298 0.105245i 0.738094 0.674698i \(-0.235726\pi\)
−0.822023 + 0.569454i \(0.807155\pi\)
\(710\) 37.4375 + 25.5245i 1.40500 + 0.957916i
\(711\) −9.91245 17.9535i −0.371746 0.673308i
\(712\) 24.8298 3.74250i 0.930538 0.140256i
\(713\) −10.5512 + 26.8841i −0.395146 + 1.00682i
\(714\) 7.01278 + 8.18954i 0.262447 + 0.306486i
\(715\) 0.898850 + 2.29023i 0.0336151 + 0.0856499i
\(716\) −29.4352 50.9833i −1.10005 1.90533i
\(717\) −4.48893 + 1.33777i −0.167642 + 0.0499598i
\(718\) −1.68480 4.29279i −0.0628760 0.160206i
\(719\) 7.97396 + 7.39876i 0.297379 + 0.275927i 0.814723 0.579850i \(-0.196889\pi\)
−0.517344 + 0.855777i \(0.673079\pi\)
\(720\) 6.48657 10.7546i 0.241740 0.400799i
\(721\) 33.4103 + 20.6631i 1.24426 + 0.769534i
\(722\) 1.52822 + 20.3926i 0.0568743 + 0.758935i
\(723\) −12.9665 + 32.1309i −0.482228 + 1.19496i
\(724\) −41.2570 19.8683i −1.53331 0.738401i
\(725\) 0.0191159 0.0837521i 0.000709946 0.00311047i
\(726\) −5.26076 24.1097i −0.195245 0.894793i
\(727\) −18.3753 + 17.0498i −0.681504 + 0.632343i −0.942973 0.332869i \(-0.891983\pi\)
0.261469 + 0.965212i \(0.415793\pi\)
\(728\) −1.04712 + 2.01582i −0.0388089 + 0.0747114i
\(729\) 26.9555 + 1.54872i 0.998354 + 0.0573600i
\(730\) 21.5344 + 6.64250i 0.797026 + 0.245850i
\(731\) −10.6472 + 1.60480i −0.393800 + 0.0593558i
\(732\) 3.21377 5.44546i 0.118784 0.201270i
\(733\) −2.43378 32.4765i −0.0898936 1.19955i −0.841619 0.540071i \(-0.818397\pi\)
0.751726 0.659476i \(-0.229222\pi\)
\(734\) 8.04383 13.9323i 0.296903 0.514252i
\(735\) 19.4845 + 20.8041i 0.718697 + 0.767370i
\(736\) 16.7790 + 29.0620i 0.618481 + 1.07124i
\(737\) −17.3232 + 11.8108i −0.638108 + 0.435055i
\(738\) 2.47423 9.95822i 0.0910777 0.366567i
\(739\) −2.39085 + 6.09179i −0.0879488 + 0.224090i −0.968080 0.250640i \(-0.919359\pi\)
0.880132 + 0.474730i \(0.157454\pi\)
\(740\) −11.0837 48.5608i −0.407444 1.78513i
\(741\) −2.38350 1.17605i −0.0875600 0.0432032i
\(742\) 50.6992 + 31.3557i 1.86123 + 1.15111i
\(743\) −2.68690 0.828798i −0.0985727 0.0304056i 0.245077 0.969504i \(-0.421187\pi\)
−0.343649 + 0.939098i \(0.611663\pi\)
\(744\) −18.2188 5.81118i −0.667934 0.213048i
\(745\) −24.4187 22.6573i −0.894633 0.830098i
\(746\) −1.28707 17.1748i −0.0471232 0.628815i
\(747\) −3.43929 + 36.5076i −0.125837 + 1.33574i
\(748\) −5.73416 2.76142i −0.209662 0.100968i
\(749\) −45.8364 + 9.01084i −1.67483 + 0.329249i
\(750\) 37.9953 + 12.1192i 1.38739 + 0.442530i
\(751\) −44.2486 + 13.6489i −1.61465 + 0.498054i −0.965016 0.262190i \(-0.915555\pi\)
−0.649637 + 0.760245i \(0.725079\pi\)
\(752\) 5.07581 6.36487i 0.185096 0.232103i
\(753\) 18.4710 + 17.4704i 0.673122 + 0.636655i
\(754\) 0.176246 0.00641850
\(755\) −19.5225 + 24.4804i −0.710495 + 0.890933i
\(756\) −23.4729 + 30.4085i −0.853701 + 1.10595i
\(757\) 13.4120 + 16.8182i 0.487469 + 0.611266i 0.963351 0.268242i \(-0.0864428\pi\)
−0.475883 + 0.879509i \(0.657871\pi\)
\(758\) 41.2550 + 51.7322i 1.49845 + 1.87900i
\(759\) −15.9113 5.07515i −0.577543 0.184216i
\(760\) 11.4486 5.51334i 0.415283 0.199990i
\(761\) 18.5642 47.3008i 0.672952 1.71465i −0.0261758 0.999657i \(-0.508333\pi\)
0.699128 0.714997i \(-0.253572\pi\)
\(762\) −4.05155 + 47.9100i −0.146772 + 1.73560i
\(763\) −0.340599 + 0.121907i −0.0123305 + 0.00441332i
\(764\) 36.6804 45.9958i 1.32705 1.66407i
\(765\) −6.76388 3.41822i −0.244549 0.123586i
\(766\) 29.2661 + 50.6903i 1.05743 + 1.83151i
\(767\) −0.821889 2.09414i −0.0296767 0.0756150i
\(768\) −4.14430 + 2.76785i −0.149545 + 0.0998760i
\(769\) −2.90269 + 38.7337i −0.104674 + 1.39677i 0.659472 + 0.751729i \(0.270780\pi\)
−0.764145 + 0.645044i \(0.776839\pi\)
\(770\) −26.5412 11.3558i −0.956480 0.409235i
\(771\) −8.43785 + 10.3756i −0.303882 + 0.373667i
\(772\) 39.2107 49.1686i 1.41122 1.76962i