Properties

Label 441.2.y.a.151.47
Level $441$
Weight $2$
Character 441.151
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 151.47
Character \(\chi\) \(=\) 441.151
Dual form 441.2.y.a.184.47

$q$-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})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 648 q - 5 q^{2} - 13 q^{3} - 109 q^{4} - 12 q^{5} + 2 q^{6} - 7 q^{7} - 16 q^{8} - 3 q^{9} + O(q^{10}) \) \( 648 q - 5 q^{2} - 13 q^{3} - 109 q^{4} - 12 q^{5} + 2 q^{6} - 7 q^{7} - 16 q^{8} - 3 q^{9} - 22 q^{10} - 8 q^{11} - 64 q^{12} - 4 q^{13} - 26 q^{14} - 4 q^{15} - 97 q^{16} - 37 q^{17} - q^{18} - 14 q^{19} - 11 q^{20} - 33 q^{21} - q^{22} + 31 q^{23} - 20 q^{24} + 38 q^{25} - 44 q^{26} - 49 q^{27} - 22 q^{28} + 73 q^{29} - 12 q^{30} - 20 q^{31} - q^{32} - 43 q^{33} - 7 q^{34} - 32 q^{35} + 20 q^{36} - 39 q^{37} - 40 q^{38} + q^{39} - q^{40} - 17 q^{41} + 82 q^{42} - q^{43} - 31 q^{44} - 177 q^{45} + 56 q^{46} + 5 q^{47} - 23 q^{48} - q^{49} - 21 q^{50} - 18 q^{51} - 48 q^{52} + 50 q^{53} - 15 q^{54} + 20 q^{55} + 127 q^{56} + 33 q^{57} - 82 q^{58} + 53 q^{59} + 43 q^{60} + 42 q^{61} - 30 q^{62} + 57 q^{63} - 88 q^{64} - 11 q^{65} - 90 q^{66} - 26 q^{67} + 145 q^{68} + 64 q^{69} - 46 q^{70} - 19 q^{71} - 46 q^{72} - 40 q^{73} + 18 q^{74} - 114 q^{75} + 43 q^{76} + 7 q^{77} - 129 q^{78} - 26 q^{79} + 163 q^{80} + 85 q^{81} - 28 q^{82} - 221 q^{83} - 113 q^{84} - 10 q^{85} - 18 q^{86} + 37 q^{87} - 4 q^{88} - 104 q^{89} - 60 q^{90} - 49 q^{91} + 119 q^{92} - 149 q^{93} - 13 q^{94} + 37 q^{95} + 186 q^{96} - 11 q^{97} - 33 q^{98} + 62 q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(199\) \(344\)
\(\chi(n)\) \(e\left(\frac{5}{21}\right)\) \(e\left(\frac{2}{3}\right)\)

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 0.422808 0.906219i \(-0.361044\pi\)
0.972127 + 0.234454i \(0.0753302\pi\)
\(3\) −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 0.193254 0.981149i \(-0.438096\pi\)
−0.963963 + 0.266035i \(0.914286\pi\)
\(6\) −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 0.797814 0.602904i \(-0.205990\pi\)
−0.269753 + 0.962930i \(0.586942\pi\)
\(12\) −4.79237 0.675518i −1.38344 0.195005i
\(13\) 0.407923 + 0.278117i 0.113138 + 0.0771358i 0.618567 0.785732i \(-0.287714\pi\)
−0.505429 + 0.862868i \(0.668666\pi\)
\(14\) −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 −0.276623 0.960978i \(-0.589215\pi\)
0.0189196 + 0.999821i \(0.493977\pi\)
\(18\) −0.365487 + 6.55854i −0.0861462 + 1.54586i
\(19\) −1.55406 2.69170i −0.356525 0.617519i 0.630853 0.775903i \(-0.282705\pi\)
−0.987378 + 0.158383i \(0.949372\pi\)
\(20\) −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 −0.992794 0.119833i \(-0.961764\pi\)
0.646262 0.763116i \(-0.276331\pi\)
\(24\) −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 −0.134057 0.990974i \(-0.542800\pi\)
0.163994 + 0.986461i \(0.447562\pi\)
\(30\) 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 −0.500238 0.865888i \(-0.666754\pi\)
0.955654 0.294492i \(-0.0951504\pi\)
\(38\) −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 −0.175994 0.984391i \(-0.556314\pi\)
0.409114 + 0.912483i \(0.365838\pi\)
\(42\) −7.58932 + 6.56361i −1.17106 + 1.01279i
\(43\) 9.57531 + 2.95359i 1.46022 + 0.450419i 0.920272 0.391279i \(-0.127967\pi\)
0.539949 + 0.841698i \(0.318444\pi\)
\(44\) 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 −0.108653 0.994080i \(-0.534654\pi\)
0.709459 + 0.704747i \(0.248940\pi\)
\(48\) 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 0.916771 + 0.399413i \(0.130786\pi\)
−0.400371 + 0.916353i \(0.631119\pi\)
\(54\) 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 0.997057 + 0.0766664i \(0.0244276\pi\)
−0.865053 + 0.501681i \(0.832715\pi\)
\(60\) 7.17879 + 8.82737i 0.926778 + 1.13961i
\(61\) −0.814584 1.02146i −0.104297 0.130784i 0.726944 0.686697i \(-0.240940\pi\)
−0.831240 + 0.555913i \(0.812369\pi\)
\(62\) 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 −0.992369 0.123307i \(-0.960650\pi\)
0.341038 + 0.940049i \(0.389221\pi\)
\(72\) 3.89155 + 3.47469i 0.458623 + 0.409496i
\(73\) −3.61722 + 2.46618i −0.423364 + 0.288645i −0.756201 0.654340i \(-0.772947\pi\)
0.332837 + 0.942984i \(0.391994\pi\)
\(74\) −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 −0.972030 0.234857i \(-0.924538\pi\)
−0.136500 + 0.990640i \(0.543585\pi\)
\(84\) −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 0.699081 + 0.715042i \(0.253593\pi\)
−0.584702 + 0.811248i \(0.698788\pi\)
\(90\) 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 −0.196050 0.980594i \(-0.562812\pi\)
0.947244 0.320512i \(-0.103855\pi\)
\(98\) −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 −0.717377 0.696685i \(-0.754658\pi\)
−0.200268 + 0.979741i \(0.564181\pi\)
\(102\) 3.68832 + 1.73294i 0.365198 + 0.171587i
\(103\) 10.8842 + 10.0991i 1.07246 + 0.995094i 0.999997 0.00227744i \(-0.000724932\pi\)
0.0724588 + 0.997371i \(0.476915\pi\)
\(104\) 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 −0.583510 0.812106i \(-0.698321\pi\)
0.455954 0.890003i \(-0.349298\pi\)
\(108\) 8.72317 11.6067i 0.839387 1.11685i
\(109\) 0.0102180 0.136349i 0.000978705 0.0130599i −0.996693 0.0812584i \(-0.974106\pi\)
0.997672 + 0.0681985i \(0.0217251\pi\)
\(110\) −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 0.881294 + 0.472568i \(0.156673\pi\)
−0.801018 + 0.598640i \(0.795708\pi\)
\(114\) −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 0.997129 0.0757203i \(-0.0241256\pi\)
−0.295704 + 0.955280i \(0.595554\pi\)
\(128\) 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 −0.346312 0.938119i \(-0.612566\pi\)
−0.814598 + 0.580026i \(0.803042\pi\)
\(132\) −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 0.171620 0.985163i \(-0.445100\pi\)
0.995234 0.0975190i \(-0.0310907\pi\)
\(138\) −3.67778 + 16.8550i −0.313074 + 1.43479i
\(139\) −0.806322 + 0.248717i −0.0683913 + 0.0210959i −0.328762 0.944413i \(-0.606631\pi\)
0.260371 + 0.965509i \(0.416155\pi\)
\(140\) −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 −0.768685 0.639628i \(-0.779088\pi\)
0.855431 0.517917i \(-0.173293\pi\)
\(150\) 0.982540 1.74004i 0.0802241 0.142073i
\(151\) 13.1700 + 1.98506i 1.07176 + 0.161542i 0.661138 0.750264i \(-0.270074\pi\)
0.410622 + 0.911806i \(0.365312\pi\)
\(152\) −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 0.999573 + 0.0292307i \(0.00930576\pi\)
−0.887901 + 0.460034i \(0.847837\pi\)
\(158\) 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 −0.688497 0.725239i \(-0.741729\pi\)
0.671760 + 0.740769i \(0.265539\pi\)
\(164\) 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 0.493857 + 0.869543i \(0.335587\pi\)
−0.953462 + 0.301512i \(0.902509\pi\)
\(168\) 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 −0.357230 0.934016i \(-0.616279\pi\)
0.990090 + 0.140435i \(0.0448502\pi\)
\(174\) −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 −0.870457 0.492244i \(-0.836177\pi\)
−0.686694 + 0.726947i \(0.740939\pi\)
\(180\) 6.84759 18.4792i 0.510389 1.37736i
\(181\) −14.7651 7.11050i −1.09748 0.528519i −0.204615 0.978842i \(-0.565594\pi\)
−0.892865 + 0.450323i \(0.851309\pi\)
\(182\) 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 0.462161 + 0.886796i \(0.347074\pi\)
−0.801159 + 0.598452i \(0.795783\pi\)
\(192\) −1.83771 21.7311i −0.132625 1.56831i
\(193\) −5.00823 + 21.9425i −0.360500 + 1.57946i 0.391427 + 0.920209i \(0.371982\pi\)
−0.751927 + 0.659246i \(0.770876\pi\)
\(194\) 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 0.998021 0.0628762i \(-0.0200273\pi\)
0.0118819 + 0.999929i \(0.496218\pi\)
\(200\) 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 0.654046 + 0.756455i \(0.273070\pi\)
−0.533997 + 0.845486i \(0.679311\pi\)
\(212\) 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 0.896176 0.443699i \(-0.146334\pi\)
−0.958735 + 0.284300i \(0.908239\pi\)
\(224\) 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 0.979922 + 0.199379i \(0.0638925\pi\)
−0.317294 + 0.948327i \(0.602774\pi\)
\(228\) 5.62931 + 13.9494i 0.372810 + 0.923823i
\(229\) 5.61141 + 1.73089i 0.370812 + 0.114381i 0.474560 0.880223i \(-0.342607\pi\)
−0.103748 + 0.994604i \(0.533083\pi\)
\(230\) 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 −0.782161 0.623077i \(-0.785882\pi\)
0.997164 + 0.0752571i \(0.0239777\pi\)
\(234\) −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 −0.613450 0.789733i \(-0.710219\pi\)
0.741682 + 0.670752i \(0.234028\pi\)
\(240\) −7.25079 + 0.0693577i −0.468036 + 0.00447702i
\(241\) 19.7809 + 2.98150i 1.27420 + 0.192055i 0.751085 0.660206i \(-0.229531\pi\)
0.523117 + 0.852261i \(0.324769\pi\)
\(242\) −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 0.967089 + 0.254437i \(0.0818902\pi\)
−0.760921 + 0.648844i \(0.775253\pi\)
\(252\) 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 0.0934712 0.995622i \(-0.470204\pi\)
0.382783 + 0.923838i \(0.374966\pi\)
\(258\) −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 0.673663 0.739039i \(-0.264720\pi\)
−0.976858 + 0.213890i \(0.931387\pi\)
\(264\) −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 −0.821603 0.570061i \(-0.806920\pi\)
0.230489 + 0.973075i \(0.425967\pi\)
\(270\) −25.7748 7.14737i −1.56861 0.434975i
\(271\) −31.5616 4.75715i −1.91723 0.288976i −0.922055 0.387059i \(-0.873491\pi\)
−0.995178 + 0.0980828i \(0.968729\pi\)
\(272\) −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 −0.110218 0.993907i \(-0.535155\pi\)
0.756824 0.653618i \(-0.226750\pi\)
\(278\) −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 −0.921168 0.389164i \(-0.872764\pi\)
0.968882 0.247524i \(-0.0796171\pi\)
\(282\) −17.1680 2.41996i −1.02234 0.144106i
\(283\) −6.51816 + 3.13898i −0.387464 + 0.186593i −0.617467 0.786597i \(-0.711841\pi\)
0.230002 + 0.973190i \(0.426127\pi\)
\(284\) 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 0.618962 0.785421i \(-0.287554\pi\)
−0.989676 + 0.143326i \(0.954220\pi\)
\(294\) 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 −0.596748 0.802429i \(-0.703541\pi\)
0.255298 + 0.966862i \(0.417827\pi\)
\(308\) −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 0.806360 0.591425i \(-0.201434\pi\)
−0.756029 + 0.654539i \(0.772863\pi\)
\(312\) −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 −0.890976 0.454050i \(-0.849979\pi\)
0.640927 + 0.767602i \(0.278550\pi\)
\(318\) 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 −0.972934 0.231084i \(-0.925773\pi\)
−0.00879217 0.999961i \(-0.502799\pi\)
\(332\) −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 −0.749643 0.661842i \(-0.769775\pi\)
0.603970 + 0.797007i \(0.293585\pi\)
\(338\) −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 −0.749733 0.661740i \(-0.769818\pi\)
0.811980 + 0.583685i \(0.198390\pi\)
\(348\) −0.789023 + 0.00754743i −0.0422961 + 0.000404585i
\(349\) −8.45778 2.60888i −0.452735 0.139650i 0.0599979 0.998199i \(-0.480891\pi\)
−0.512733 + 0.858548i \(0.671367\pi\)
\(350\) 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 0.0877710 0.996141i \(-0.472026\pi\)
0.999914 0.0130839i \(-0.00416484\pi\)
\(354\) 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 −0.719864 0.694115i \(-0.755796\pi\)
0.638379 + 0.769722i \(0.279605\pi\)
\(360\) −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 0.993027 + 0.117886i \(0.0376118\pi\)
−0.964366 + 0.264573i \(0.914769\pi\)
\(368\) 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 −0.949699 0.313165i \(-0.898611\pi\)
0.746058 + 0.665881i \(0.231944\pi\)
\(374\) −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 0.425685 0.904872i \(-0.360033\pi\)
0.972867 + 0.231365i \(0.0743190\pi\)
\(380\) 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 0.152829 0.988253i \(-0.451161\pi\)
0.975773 + 0.218784i \(0.0702091\pi\)
\(384\) −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 −0.493292 0.869864i \(-0.664207\pi\)
0.0824342 + 0.996597i \(0.473731\pi\)
\(390\) −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 −0.746220 0.665699i \(-0.768133\pi\)
−0.241555 + 0.970387i \(0.577657\pi\)
\(398\) 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 −0.485885 0.874023i \(-0.661503\pi\)
0.636091 + 0.771614i \(0.280550\pi\)
\(402\) 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 0.710225 0.703974i \(-0.248593\pi\)
−0.844364 + 0.535770i \(0.820022\pi\)
\(410\) −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 0.669428 0.742877i \(-0.266539\pi\)
0.420721 + 0.907190i \(0.361777\pi\)
\(420\) 27.5618 12.1057i 1.34488 0.590696i
\(421\) −12.3658 + 1.86385i −0.602673 + 0.0908383i −0.443290 0.896378i \(-0.646189\pi\)
−0.159383 + 0.987217i \(0.550951\pi\)
\(422\) 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 0.0873597 0.996177i \(-0.472157\pi\)
−0.488986 + 0.872291i \(0.662633\pi\)
\(432\) 2.31698 + 8.95827i 0.111476 + 0.431005i
\(433\) −4.93495 + 21.6214i −0.237158 + 1.03906i 0.706390 + 0.707823i \(0.250323\pi\)
−0.943548 + 0.331236i \(0.892535\pi\)
\(434\) −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 0.786731 0.617296i \(-0.211772\pi\)
0.973140 0.230213i \(-0.0739425\pi\)
\(440\) −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 −0.676562 0.736385i \(-0.736531\pi\)
0.153900 + 0.988086i \(0.450817\pi\)
\(444\) −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 −0.864280 0.503012i \(-0.832225\pi\)
0.996938 0.0782009i \(-0.0249176\pi\)
\(450\) −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 −0.995523 0.0945231i \(-0.969867\pi\)
0.855923 0.517103i \(-0.172990\pi\)
\(458\) 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 −0.691311 0.722557i \(-0.742966\pi\)
−0.447620 + 0.894224i \(0.647728\pi\)
\(462\) −21.1292 + 2.43320i −0.983020 + 0.113203i
\(463\) 35.9100 + 5.41256i 1.66888 + 0.251543i 0.914409 0.404791i \(-0.132656\pi\)
0.754471 + 0.656334i \(0.227894\pi\)
\(464\) 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 0.406311 0.913735i \(-0.366815\pi\)
0.118932 + 0.992902i \(0.462053\pi\)
\(468\) −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 0.380698 0.924699i \(-0.375684\pi\)
−0.721694 + 0.692213i \(0.756636\pi\)
\(480\) −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 0.916394 0.400277i \(-0.131086\pi\)
−0.330676 + 0.943744i \(0.607277\pi\)
\(488\) −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 0.963088 0.269188i \(-0.0867551\pi\)
−0.714667 + 0.699465i \(0.753422\pi\)
\(492\) −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 −0.828174 0.560471i \(-0.810620\pi\)
0.219161 + 0.975689i \(0.429668\pi\)
\(500\) 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 0.446855 0.894606i \(-0.352544\pi\)
0.978041 + 0.208412i \(0.0668296\pi\)
\(504\) 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 −0.745413 0.666603i \(-0.767748\pi\)
0.950002 + 0.312245i \(0.101081\pi\)
\(510\) −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 −0.226013 0.974124i \(-0.572569\pi\)
0.956623 0.291329i \(-0.0940975\pi\)
\(522\) 0.100446 + 1.06623i 0.00439642 + 0.0466674i
\(523\) 0.645723 0.599144i 0.0282355 0.0261987i −0.665929 0.746015i \(-0.731965\pi\)
0.694164 + 0.719817i \(0.255774\pi\)
\(524\) −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 0.610460 0.792047i \(-0.290985\pi\)
−0.514270 + 0.857628i \(0.671937\pi\)
\(542\) −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 0.140017 0.990149i \(-0.455284\pi\)
−0.976917 + 0.213619i \(0.931475\pi\)
\(548\) −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 −0.964303 0.264801i \(-0.914694\pi\)
0.711476 + 0.702711i \(0.248027\pi\)
\(558\) −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 0.156954 0.987606i \(-0.449832\pi\)
−0.674282 + 0.738474i \(0.735547\pi\)
\(564\) −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 −0.968165 0.250312i \(-0.919467\pi\)
−0.0285986 0.999591i \(-0.509104\pi\)
\(572\) 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 −0.986178 0.165687i \(-0.947016\pi\)
0.999858 0.0168541i \(-0.00536508\pi\)
\(578\) −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 0.0387068 0.999251i \(-0.487676\pi\)
0.846023 0.533146i \(-0.178990\pi\)
\(588\) 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 0.254177 0.967158i \(-0.418196\pi\)
0.754830 + 0.655921i \(0.227719\pi\)
\(594\) 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 −0.557415 0.830234i \(-0.688207\pi\)
0.301560 + 0.953447i \(0.402493\pi\)
\(600\) −0.593932 1.47176i −0.0242472 0.0600845i
\(601\) −2.35223 + 31.3883i −0.0959493 + 1.28035i 0.716609 + 0.697475i \(0.245693\pi\)
−0.812559 + 0.582879i \(0.801926\pi\)
\(602\) 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 0.280800 + 0.959766i \(0.409400\pi\)
−0.971582 + 0.236703i \(0.923933\pi\)
\(608\) 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 −0.752996 0.658025i \(-0.771392\pi\)
0.337437 + 0.941348i \(0.390440\pi\)
\(614\) −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 0.710460 + 0.703738i \(0.248487\pi\)
−0.999467 + 0.0326413i \(0.989608\pi\)
\(618\) −13.0546 54.7756i −0.525134 2.20340i
\(619\) −2.47850 4.29288i −0.0996192 0.172546i 0.811908 0.583786i \(-0.198429\pi\)
−0.911527 + 0.411240i \(0.865096\pi\)
\(620\) −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 0.976764 + 0.214320i \(0.0687534\pi\)
−0.787044 + 0.616897i \(0.788389\pi\)
\(632\) 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 −0.784299 0.620382i \(-0.786977\pi\)
−0.932316 + 0.361644i \(0.882216\pi\)
\(642\) −32.9238 + 58.3066i −1.29940 + 2.30118i
\(643\) −11.1478 + 10.3436i −0.439626 + 0.407913i −0.868686 0.495363i \(-0.835035\pi\)
0.429060 + 0.903276i \(0.358845\pi\)
\(644\) −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 −0.568686 0.822554i \(-0.692548\pi\)
−0.933232 + 0.359274i \(0.883024\pi\)
\(648\) −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 0.673569 0.739124i \(-0.264760\pi\)
0.140166 + 0.990128i \(0.455236\pi\)
\(654\) −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 0.963672 + 0.267087i \(0.0860613\pi\)
−0.524756 + 0.851253i \(0.675843\pi\)
\(660\) 2.03229 + 24.0321i 0.0791068 + 0.935447i
\(661\) −15.4113 7.42169i −0.599430 0.288670i 0.109458 0.993991i \(-0.465089\pi\)
−0.708888 + 0.705321i \(0.750803\pi\)
\(662\) −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 −0.995152 0.0983519i \(-0.968643\pi\)
0.998695 + 0.0510663i \(0.0162620\pi\)
\(674\) −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 0.652476 0.757809i \(-0.273730\pi\)
−0.185667 + 0.982613i \(0.559444\pi\)
\(678\) 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 0.0804395 0.996759i \(-0.474368\pi\)
−0.987961 + 0.154703i \(0.950558\pi\)
\(684\) 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 −0.886967 0.461833i \(-0.847192\pi\)
0.999511 0.0312563i \(-0.00995082\pi\)
\(692\) −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 0.452100 0.891967i \(-0.350675\pi\)
−0.415489 + 0.909598i \(0.636389\pi\)
\(702\) 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 −0.822023 0.569454i \(-0.807155\pi\)
0.738094 + 0.674698i \(0.235726\pi\)
\(710\) 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 −0.517344 0.855777i \(-0.673079\pi\)
0.814723 + 0.579850i \(0.196889\pi\)
\(720\) 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 0.261469 0.965212i \(-0.415793\pi\)
−0.942973 + 0.332869i \(0.891983\pi\)
\(728\) −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 0.751726 + 0.659476i \(0.229222\pi\)
−0.841619 + 0.540071i \(0.818397\pi\)
\(734\) 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 0.880132 0.474730i \(-0.157454\pi\)
−0.968080 + 0.250640i \(0.919359\pi\)
\(740\) −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 −0.343649 0.939098i \(-0.611663\pi\)
0.245077 + 0.969504i \(0.421187\pi\)
\(744\) −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 −0.649637 0.760245i \(-0.725079\pi\)
−0.965016 + 0.262190i \(0.915555\pi\)
\(752\) 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 −0.475883 0.879509i \(-0.657871\pi\)
0.963351 + 0.268242i \(0.0864428\pi\)
\(758\) 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 0.699128 + 0.714997i \(0.253572\pi\)
−0.0261758 + 0.999657i \(0.508333\pi\)
\(762\) −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 −0.764145 0.645044i \(-0.776839\pi\)
0.659472 0.751729i \(-0.270780\pi\)
\(770\) −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