Properties

Label 57.2.j.b.32.3
Level 57
Weight 2
Character 57.32
Analytic conductor 0.455
Analytic rank 0
Dimension 24
CM No

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Newspace parameters

Level: \( N \) = \( 57 = 3 \cdot 19 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 57.j (of order \(18\) and degree \(6\))

Newform invariants

Self dual: No
Analytic conductor: \(0.455147291521\)
Analytic rank: \(0\)
Dimension: \(24\)
Relative dimension: \(4\) over \(\Q(\zeta_{18})\)
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 32.3
Character \(\chi\) = 57.32
Dual form 57.2.j.b.41.3

$q$-expansion

\(f(q)\) \(=\) \(q+(0.745719 - 0.625733i) q^{2} +(1.09578 - 1.34136i) q^{3} +(-0.182741 + 1.03637i) q^{4} +(-3.79113 + 0.668479i) q^{5} +(-0.0221879 - 1.68595i) q^{6} +(-0.469963 + 0.814000i) q^{7} +(1.48569 + 2.57329i) q^{8} +(-0.598514 - 2.93969i) q^{9} +O(q^{10})\) \(q+(0.745719 - 0.625733i) q^{2} +(1.09578 - 1.34136i) q^{3} +(-0.182741 + 1.03637i) q^{4} +(-3.79113 + 0.668479i) q^{5} +(-0.0221879 - 1.68595i) q^{6} +(-0.469963 + 0.814000i) q^{7} +(1.48569 + 2.57329i) q^{8} +(-0.598514 - 2.93969i) q^{9} +(-2.40883 + 2.87073i) q^{10} +(3.44730 - 1.99030i) q^{11} +(1.18991 + 1.38076i) q^{12} +(-0.353205 - 0.970422i) q^{13} +(0.158886 + 0.901087i) q^{14} +(-3.25759 + 5.81780i) q^{15} +(0.740303 + 0.269448i) q^{16} +(-0.804427 - 0.958678i) q^{17} +(-2.28578 - 1.81767i) q^{18} +(-4.22014 + 1.09106i) q^{19} -4.05119i q^{20} +(0.576892 + 1.52236i) q^{21} +(1.32532 - 3.64129i) q^{22} +(-0.477922 - 0.0842705i) q^{23} +(5.07970 + 0.826919i) q^{24} +(9.22735 - 3.35848i) q^{25} +(-0.870616 - 0.502651i) q^{26} +(-4.59904 - 2.41844i) q^{27} +(-0.757727 - 0.635808i) q^{28} +(3.32571 + 2.79060i) q^{29} +(1.21114 + 6.37682i) q^{30} +(4.26794 + 2.46410i) q^{31} +(-4.86370 + 1.77024i) q^{32} +(1.10778 - 6.80502i) q^{33} +(-1.19975 - 0.211549i) q^{34} +(1.23755 - 3.40014i) q^{35} +(3.15599 - 0.0830829i) q^{36} -1.10257i q^{37} +(-2.46433 + 3.45430i) q^{38} +(-1.68872 - 0.589597i) q^{39} +(-7.35262 - 8.76251i) q^{40} +(2.04769 + 0.745298i) q^{41} +(1.38279 + 0.774273i) q^{42} +(-1.00316 - 5.68919i) q^{43} +(1.43273 + 3.93640i) q^{44} +(4.23417 + 10.7447i) q^{45} +(-0.409126 + 0.236209i) q^{46} +(-4.96510 + 5.91718i) q^{47} +(1.17264 - 0.697758i) q^{48} +(3.05827 + 5.29708i) q^{49} +(4.77950 - 8.27834i) q^{50} +(-2.16741 + 0.0285242i) q^{51} +(1.07026 - 0.188716i) q^{52} +(1.34079 - 7.60399i) q^{53} +(-4.94289 + 1.07429i) q^{54} +(-11.7387 + 9.84993i) q^{55} -2.79287 q^{56} +(-3.16086 + 6.85631i) q^{57} +4.22621 q^{58} +(-5.26126 + 4.41472i) q^{59} +(-5.43411 - 4.43923i) q^{60} +(0.740173 - 4.19773i) q^{61} +(4.72455 - 0.833066i) q^{62} +(2.67419 + 0.894356i) q^{63} +(-3.30707 + 5.72801i) q^{64} +(1.98775 + 3.44289i) q^{65} +(-3.43203 - 5.76781i) q^{66} +(0.918596 - 1.09474i) q^{67} +(1.14055 - 0.658497i) q^{68} +(-0.636737 + 0.548725i) q^{69} +(-1.20471 - 3.30993i) q^{70} +(0.438181 + 2.48505i) q^{71} +(6.67546 - 5.90761i) q^{72} +(8.28206 + 3.01442i) q^{73} +(-0.689912 - 0.822205i) q^{74} +(5.60624 - 16.0574i) q^{75} +(-0.359552 - 4.57302i) q^{76} +3.74147i q^{77} +(-1.62824 + 0.617017i) q^{78} +(-1.50043 + 4.12240i) q^{79} +(-2.98671 - 0.526637i) q^{80} +(-8.28356 + 3.51889i) q^{81} +(1.99336 - 0.725523i) q^{82} +(-3.66720 - 2.11726i) q^{83} +(-1.68315 + 0.319678i) q^{84} +(3.69054 + 3.09673i) q^{85} +(-4.30799 - 3.61483i) q^{86} +(7.38747 - 1.40309i) q^{87} +(10.2432 + 5.91392i) q^{88} +(7.56260 - 2.75256i) q^{89} +(9.88079 + 5.36304i) q^{90} +(0.955916 + 0.168554i) q^{91} +(0.174671 - 0.479906i) q^{92} +(7.98199 - 3.02474i) q^{93} +7.51939i q^{94} +(15.2698 - 6.95742i) q^{95} +(-2.95502 + 8.46379i) q^{96} +(-6.91522 - 8.24124i) q^{97} +(5.59517 + 2.03647i) q^{98} +(-7.91412 - 8.94277i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 24q - 9q^{3} - 18q^{4} - 9q^{6} - 6q^{7} + 3q^{9} + O(q^{10}) \) \( 24q - 9q^{3} - 18q^{4} - 9q^{6} - 6q^{7} + 3q^{9} - 6q^{10} + 9q^{12} + 6q^{13} - 9q^{15} + 30q^{16} - 12q^{19} - 6q^{21} + 24q^{22} - 21q^{24} + 12q^{25} - 27q^{27} - 48q^{28} + 42q^{30} - 18q^{31} + 21q^{33} - 42q^{34} + 63q^{36} + 30q^{40} + 105q^{42} + 54q^{43} + 6q^{45} - 54q^{46} - 33q^{48} + 6q^{49} + 3q^{51} - 48q^{52} - 87q^{54} - 90q^{55} - 6q^{57} + 24q^{58} - 66q^{60} - 6q^{61} - 9q^{63} + 18q^{64} - 57q^{66} - 36q^{69} + 18q^{70} + 24q^{72} + 90q^{73} + 12q^{76} + 9q^{78} + 30q^{79} + 3q^{81} + 126q^{82} + 99q^{84} - 6q^{85} + 15q^{87} + 54q^{88} + 24q^{90} + 66q^{91} + 33q^{93} - 18q^{96} - 78q^{97} + 12q^{99} + O(q^{100}) \)

Character Values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/57\mathbb{Z}\right)^\times\).

\(n\) \(20\) \(40\)
\(\chi(n)\) \(-1\) \(e\left(\frac{5}{18}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.745719 0.625733i 0.527303 0.442460i −0.339866 0.940474i \(-0.610382\pi\)
0.867169 + 0.498014i \(0.165937\pi\)
\(3\) 1.09578 1.34136i 0.632651 0.774437i
\(4\) −0.182741 + 1.03637i −0.0913703 + 0.518187i
\(5\) −3.79113 + 0.668479i −1.69545 + 0.298953i −0.936100 0.351734i \(-0.885592\pi\)
−0.759346 + 0.650687i \(0.774481\pi\)
\(6\) −0.0221879 1.68595i −0.00905815 0.688286i
\(7\) −0.469963 + 0.814000i −0.177629 + 0.307663i −0.941068 0.338217i \(-0.890176\pi\)
0.763439 + 0.645880i \(0.223509\pi\)
\(8\) 1.48569 + 2.57329i 0.525270 + 0.909794i
\(9\) −0.598514 2.93969i −0.199505 0.979897i
\(10\) −2.40883 + 2.87073i −0.761739 + 0.907805i
\(11\) 3.44730 1.99030i 1.03940 0.600098i 0.119736 0.992806i \(-0.461795\pi\)
0.919663 + 0.392708i \(0.128462\pi\)
\(12\) 1.18991 + 1.38076i 0.343497 + 0.398592i
\(13\) −0.353205 0.970422i −0.0979613 0.269147i 0.881026 0.473068i \(-0.156854\pi\)
−0.978987 + 0.203921i \(0.934631\pi\)
\(14\) 0.158886 + 0.901087i 0.0424640 + 0.240826i
\(15\) −3.25759 + 5.81780i −0.841106 + 1.50215i
\(16\) 0.740303 + 0.269448i 0.185076 + 0.0673620i
\(17\) −0.804427 0.958678i −0.195102 0.232514i 0.659620 0.751599i \(-0.270717\pi\)
−0.854722 + 0.519085i \(0.826273\pi\)
\(18\) −2.28578 1.81767i −0.538764 0.428430i
\(19\) −4.22014 + 1.09106i −0.968167 + 0.250306i
\(20\) 4.05119i 0.905873i
\(21\) 0.576892 + 1.52236i 0.125888 + 0.332206i
\(22\) 1.32532 3.64129i 0.282560 0.776326i
\(23\) −0.477922 0.0842705i −0.0996536 0.0175716i 0.123599 0.992332i \(-0.460556\pi\)
−0.223253 + 0.974761i \(0.571667\pi\)
\(24\) 5.07970 + 0.826919i 1.03689 + 0.168794i
\(25\) 9.22735 3.35848i 1.84547 0.671696i
\(26\) −0.870616 0.502651i −0.170742 0.0985779i
\(27\) −4.59904 2.41844i −0.885085 0.465429i
\(28\) −0.757727 0.635808i −0.143197 0.120156i
\(29\) 3.32571 + 2.79060i 0.617568 + 0.518201i 0.897038 0.441953i \(-0.145714\pi\)
−0.279470 + 0.960155i \(0.590159\pi\)
\(30\) 1.21114 + 6.37682i 0.221123 + 1.16424i
\(31\) 4.26794 + 2.46410i 0.766544 + 0.442565i 0.831641 0.555314i \(-0.187402\pi\)
−0.0650961 + 0.997879i \(0.520735\pi\)
\(32\) −4.86370 + 1.77024i −0.859788 + 0.312937i
\(33\) 1.10778 6.80502i 0.192840 1.18460i
\(34\) −1.19975 0.211549i −0.205756 0.0362803i
\(35\) 1.23755 3.40014i 0.209184 0.574729i
\(36\) 3.15599 0.0830829i 0.525998 0.0138472i
\(37\) 1.10257i 0.181261i −0.995885 0.0906304i \(-0.971112\pi\)
0.995885 0.0906304i \(-0.0288882\pi\)
\(38\) −2.46433 + 3.45430i −0.399767 + 0.560362i
\(39\) −1.68872 0.589597i −0.270412 0.0944111i
\(40\) −7.35262 8.76251i −1.16255 1.38548i
\(41\) 2.04769 + 0.745298i 0.319795 + 0.116396i 0.496930 0.867791i \(-0.334461\pi\)
−0.177135 + 0.984187i \(0.556683\pi\)
\(42\) 1.38279 + 0.774273i 0.213369 + 0.119473i
\(43\) −1.00316 5.68919i −0.152980 0.867593i −0.960609 0.277903i \(-0.910361\pi\)
0.807629 0.589691i \(-0.200750\pi\)
\(44\) 1.43273 + 3.93640i 0.215992 + 0.593434i
\(45\) 4.23417 + 10.7447i 0.631192 + 1.60172i
\(46\) −0.409126 + 0.236209i −0.0603224 + 0.0348271i
\(47\) −4.96510 + 5.91718i −0.724235 + 0.863110i −0.995035 0.0995260i \(-0.968267\pi\)
0.270800 + 0.962636i \(0.412712\pi\)
\(48\) 1.17264 0.697758i 0.169256 0.100713i
\(49\) 3.05827 + 5.29708i 0.436896 + 0.756725i
\(50\) 4.77950 8.27834i 0.675924 1.17073i
\(51\) −2.16741 + 0.0285242i −0.303499 + 0.00399418i
\(52\) 1.07026 0.188716i 0.148419 0.0261703i
\(53\) 1.34079 7.60399i 0.184172 1.04449i −0.742844 0.669465i \(-0.766523\pi\)
0.927015 0.375024i \(-0.122365\pi\)
\(54\) −4.94289 + 1.07429i −0.672642 + 0.146192i
\(55\) −11.7387 + 9.84993i −1.58284 + 1.32816i
\(56\) −2.79287 −0.373213
\(57\) −3.16086 + 6.85631i −0.418666 + 0.908140i
\(58\) 4.22621 0.554929
\(59\) −5.26126 + 4.41472i −0.684958 + 0.574748i −0.917450 0.397850i \(-0.869756\pi\)
0.232493 + 0.972598i \(0.425312\pi\)
\(60\) −5.43411 4.43923i −0.701541 0.573102i
\(61\) 0.740173 4.19773i 0.0947695 0.537464i −0.900048 0.435790i \(-0.856469\pi\)
0.994818 0.101674i \(-0.0324199\pi\)
\(62\) 4.72455 0.833066i 0.600018 0.105799i
\(63\) 2.67419 + 0.894356i 0.336916 + 0.112678i
\(64\) −3.30707 + 5.72801i −0.413384 + 0.716001i
\(65\) 1.98775 + 3.44289i 0.246550 + 0.427038i
\(66\) −3.43203 5.76781i −0.422454 0.709968i
\(67\) 0.918596 1.09474i 0.112224 0.133744i −0.707008 0.707206i \(-0.749955\pi\)
0.819232 + 0.573462i \(0.194400\pi\)
\(68\) 1.14055 0.658497i 0.138312 0.0798545i
\(69\) −0.636737 + 0.548725i −0.0766541 + 0.0660587i
\(70\) −1.20471 3.30993i −0.143991 0.395612i
\(71\) 0.438181 + 2.48505i 0.0520026 + 0.294921i 0.999706 0.0242299i \(-0.00771337\pi\)
−0.947704 + 0.319151i \(0.896602\pi\)
\(72\) 6.67546 5.90761i 0.786710 0.696218i
\(73\) 8.28206 + 3.01442i 0.969342 + 0.352812i 0.777688 0.628651i \(-0.216393\pi\)
0.191654 + 0.981462i \(0.438615\pi\)
\(74\) −0.689912 0.822205i −0.0802006 0.0955794i
\(75\) 5.60624 16.0574i 0.647353 1.85415i
\(76\) −0.359552 4.57302i −0.0412434 0.524562i
\(77\) 3.74147i 0.426380i
\(78\) −1.62824 + 0.617017i −0.184362 + 0.0698634i
\(79\) −1.50043 + 4.12240i −0.168812 + 0.463806i −0.995034 0.0995383i \(-0.968263\pi\)
0.826222 + 0.563345i \(0.190486\pi\)
\(80\) −2.98671 0.526637i −0.333924 0.0588798i
\(81\) −8.28356 + 3.51889i −0.920396 + 0.390988i
\(82\) 1.99336 0.725523i 0.220130 0.0801206i
\(83\) −3.66720 2.11726i −0.402527 0.232399i 0.285047 0.958514i \(-0.407991\pi\)
−0.687574 + 0.726114i \(0.741324\pi\)
\(84\) −1.68315 + 0.319678i −0.183647 + 0.0348798i
\(85\) 3.69054 + 3.09673i 0.400296 + 0.335888i
\(86\) −4.30799 3.61483i −0.464542 0.389797i
\(87\) 7.38747 1.40309i 0.792020 0.150427i
\(88\) 10.2432 + 5.91392i 1.09193 + 0.630426i
\(89\) 7.56260 2.75256i 0.801634 0.291771i 0.0914708 0.995808i \(-0.470843\pi\)
0.710164 + 0.704037i \(0.248621\pi\)
\(90\) 9.88079 + 5.36304i 1.04153 + 0.565315i
\(91\) 0.955916 + 0.168554i 0.100207 + 0.0176692i
\(92\) 0.174671 0.479906i 0.0182108 0.0500336i
\(93\) 7.98199 3.02474i 0.827694 0.313651i
\(94\) 7.51939i 0.775565i
\(95\) 15.2698 6.95742i 1.56664 0.713816i
\(96\) −2.95502 + 8.46379i −0.301596 + 0.863832i
\(97\) −6.91522 8.24124i −0.702134 0.836771i 0.290632 0.956835i \(-0.406134\pi\)
−0.992766 + 0.120064i \(0.961690\pi\)
\(98\) 5.59517 + 2.03647i 0.565197 + 0.205715i
\(99\) −7.91412 8.94277i −0.795399 0.898782i
\(100\) 1.79443 + 10.1767i 0.179443 + 1.01767i
\(101\) −5.98720 16.4497i −0.595749 1.63681i −0.759652 0.650329i \(-0.774631\pi\)
0.163904 0.986476i \(-0.447591\pi\)
\(102\) −1.59843 + 1.37749i −0.158269 + 0.136392i
\(103\) −1.32095 + 0.762653i −0.130157 + 0.0751464i −0.563665 0.826004i \(-0.690609\pi\)
0.433508 + 0.901150i \(0.357276\pi\)
\(104\) 1.97242 2.35064i 0.193412 0.230499i
\(105\) −3.20474 5.38583i −0.312750 0.525603i
\(106\) −3.75822 6.50942i −0.365030 0.632251i
\(107\) −5.43705 + 9.41724i −0.525619 + 0.910399i 0.473935 + 0.880560i \(0.342833\pi\)
−0.999555 + 0.0298397i \(0.990500\pi\)
\(108\) 3.34684 4.32437i 0.322050 0.416113i
\(109\) −13.5446 + 2.38827i −1.29733 + 0.228755i −0.779324 0.626621i \(-0.784438\pi\)
−0.518008 + 0.855376i \(0.673326\pi\)
\(110\) −2.59034 + 14.6906i −0.246980 + 1.40069i
\(111\) −1.47894 1.20817i −0.140375 0.114675i
\(112\) −0.567246 + 0.475976i −0.0535997 + 0.0449755i
\(113\) −9.69889 −0.912395 −0.456198 0.889879i \(-0.650789\pi\)
−0.456198 + 0.889879i \(0.650789\pi\)
\(114\) 1.93310 + 7.09074i 0.181052 + 0.664108i
\(115\) 1.86820 0.174210
\(116\) −3.49985 + 2.93672i −0.324953 + 0.272668i
\(117\) −2.64134 + 1.61912i −0.244192 + 0.149688i
\(118\) −1.16099 + 6.58429i −0.106878 + 0.606133i
\(119\) 1.15841 0.204260i 0.106192 0.0187245i
\(120\) −19.8106 + 0.260717i −1.80845 + 0.0238001i
\(121\) 2.42258 4.19603i 0.220234 0.381457i
\(122\) −2.07470 3.59348i −0.187834 0.325338i
\(123\) 3.24354 1.93001i 0.292460 0.174023i
\(124\) −3.33365 + 3.97289i −0.299371 + 0.356776i
\(125\) −16.0677 + 9.27670i −1.43714 + 0.829733i
\(126\) 2.55382 1.00639i 0.227512 0.0896562i
\(127\) −3.25642 8.94695i −0.288961 0.793913i −0.996213 0.0869515i \(-0.972287\pi\)
0.707252 0.706962i \(-0.249935\pi\)
\(128\) −0.679490 3.85358i −0.0600590 0.340612i
\(129\) −8.73052 4.88853i −0.768679 0.430411i
\(130\) 3.63663 + 1.32363i 0.318954 + 0.116090i
\(131\) 10.7966 + 12.8668i 0.943299 + 1.12418i 0.992110 + 0.125372i \(0.0400126\pi\)
−0.0488102 + 0.998808i \(0.515543\pi\)
\(132\) 6.85010 + 2.39163i 0.596225 + 0.208164i
\(133\) 1.09519 3.94795i 0.0949650 0.342331i
\(134\) 1.39116i 0.120178i
\(135\) 19.0522 + 6.09427i 1.63975 + 0.524512i
\(136\) 1.27183 3.49432i 0.109058 0.299635i
\(137\) 21.0716 + 3.71550i 1.80027 + 0.317436i 0.970579 0.240784i \(-0.0774046\pi\)
0.829693 + 0.558221i \(0.188516\pi\)
\(138\) −0.131472 + 0.807622i −0.0111916 + 0.0687493i
\(139\) 6.64113 2.41718i 0.563294 0.205022i −0.0446494 0.999003i \(-0.514217\pi\)
0.607943 + 0.793981i \(0.291995\pi\)
\(140\) 3.29767 + 1.90391i 0.278704 + 0.160910i
\(141\) 2.49641 + 13.1440i 0.210236 + 1.10692i
\(142\) 1.88174 + 1.57897i 0.157912 + 0.132504i
\(143\) −3.14903 2.64235i −0.263335 0.220964i
\(144\) 0.349013 2.33753i 0.0290844 0.194794i
\(145\) −14.4737 8.35637i −1.20197 0.693959i
\(146\) 8.06232 2.93444i 0.667242 0.242856i
\(147\) 10.4565 + 1.70220i 0.862439 + 0.140395i
\(148\) 1.14267 + 0.201484i 0.0939269 + 0.0165619i
\(149\) −2.02439 + 5.56197i −0.165845 + 0.455655i −0.994579 0.103988i \(-0.966840\pi\)
0.828734 + 0.559643i \(0.189062\pi\)
\(150\) −5.86696 15.4823i −0.479036 1.26413i
\(151\) 16.2196i 1.31993i 0.751297 + 0.659964i \(0.229429\pi\)
−0.751297 + 0.659964i \(0.770571\pi\)
\(152\) −9.07741 9.23866i −0.736275 0.749354i
\(153\) −2.33676 + 2.93855i −0.188916 + 0.237567i
\(154\) 2.34116 + 2.79008i 0.188656 + 0.224831i
\(155\) −17.8275 6.48868i −1.43194 0.521184i
\(156\) 0.919641 1.64241i 0.0736302 0.131498i
\(157\) −3.95357 22.4218i −0.315529 1.78945i −0.569237 0.822174i \(-0.692761\pi\)
0.253708 0.967281i \(-0.418350\pi\)
\(158\) 1.46062 + 4.01302i 0.116201 + 0.319259i
\(159\) −8.73051 10.1308i −0.692374 0.803426i
\(160\) 17.2555 9.96249i 1.36417 0.787604i
\(161\) 0.293202 0.349424i 0.0231075 0.0275385i
\(162\) −3.97533 + 7.80740i −0.312331 + 0.613407i
\(163\) −1.76026 3.04886i −0.137874 0.238805i 0.788818 0.614627i \(-0.210694\pi\)
−0.926692 + 0.375822i \(0.877360\pi\)
\(164\) −1.14660 + 1.98597i −0.0895346 + 0.155079i
\(165\) 0.349269 + 26.5393i 0.0271905 + 2.06608i
\(166\) −4.05954 + 0.715806i −0.315081 + 0.0555573i
\(167\) 1.25909 7.14068i 0.0974316 0.552562i −0.896543 0.442956i \(-0.853930\pi\)
0.993975 0.109606i \(-0.0349591\pi\)
\(168\) −3.06039 + 3.74626i −0.236114 + 0.289030i
\(169\) 9.14161 7.67072i 0.703201 0.590056i
\(170\) 4.68984 0.359694
\(171\) 5.73318 + 11.7529i 0.438428 + 0.898767i
\(172\) 6.07944 0.463553
\(173\) 11.9969 10.0666i 0.912110 0.765351i −0.0604095 0.998174i \(-0.519241\pi\)
0.972519 + 0.232823i \(0.0747962\pi\)
\(174\) 4.63102 5.66889i 0.351077 0.429758i
\(175\) −1.60271 + 9.08943i −0.121154 + 0.687096i
\(176\) 3.08833 0.544555i 0.232791 0.0410474i
\(177\) 0.156542 + 11.8948i 0.0117664 + 0.894071i
\(178\) 3.91721 6.78481i 0.293607 0.508543i
\(179\) −6.47528 11.2155i −0.483985 0.838287i 0.515845 0.856682i \(-0.327478\pi\)
−0.999831 + 0.0183944i \(0.994145\pi\)
\(180\) −11.9092 + 2.42469i −0.887662 + 0.180726i
\(181\) 2.54385 3.03164i 0.189083 0.225340i −0.663172 0.748467i \(-0.730790\pi\)
0.852255 + 0.523127i \(0.175235\pi\)
\(182\) 0.818315 0.472454i 0.0606575 0.0350206i
\(183\) −4.81961 5.59265i −0.356276 0.413421i
\(184\) −0.493190 1.35503i −0.0363585 0.0998941i
\(185\) 0.737042 + 4.17997i 0.0541884 + 0.307318i
\(186\) 4.05964 7.25020i 0.297667 0.531610i
\(187\) −4.68115 1.70380i −0.342320 0.124594i
\(188\) −5.22508 6.22701i −0.381078 0.454152i
\(189\) 4.12999 2.60704i 0.300412 0.189634i
\(190\) 7.03347 14.7431i 0.510262 1.06957i
\(191\) 15.8889i 1.14968i −0.818266 0.574840i \(-0.805064\pi\)
0.818266 0.574840i \(-0.194936\pi\)
\(192\) 4.05951 + 10.7126i 0.292970 + 0.773119i
\(193\) −5.39307 + 14.8173i −0.388202 + 1.06657i 0.579609 + 0.814895i \(0.303205\pi\)
−0.967810 + 0.251680i \(0.919017\pi\)
\(194\) −10.3136 1.81857i −0.740475 0.130566i
\(195\) 6.79631 + 1.10636i 0.486694 + 0.0792283i
\(196\) −6.04862 + 2.20152i −0.432044 + 0.157251i
\(197\) 3.60442 + 2.08101i 0.256804 + 0.148266i 0.622876 0.782321i \(-0.285964\pi\)
−0.366072 + 0.930587i \(0.619297\pi\)
\(198\) −11.4975 1.71667i −0.817091 0.121999i
\(199\) 17.0487 + 14.3056i 1.20855 + 1.01410i 0.999344 + 0.0362239i \(0.0115329\pi\)
0.209208 + 0.977871i \(0.432912\pi\)
\(200\) 22.3513 + 18.7550i 1.58047 + 1.32618i
\(201\) −0.461862 2.43177i −0.0325772 0.171524i
\(202\) −14.7579 8.52047i −1.03836 0.599498i
\(203\) −3.83451 + 1.39565i −0.269130 + 0.0979552i
\(204\) 0.366513 2.25146i 0.0256610 0.157634i
\(205\) −8.26127 1.45669i −0.576992 0.101739i
\(206\) −0.507844 + 1.39529i −0.0353831 + 0.0972144i
\(207\) 0.0383135 + 1.45538i 0.00266298 + 0.101156i
\(208\) 0.813576i 0.0564114i
\(209\) −12.3766 + 12.1605i −0.856104 + 0.841162i
\(210\) −5.75992 2.01100i −0.397472 0.138773i
\(211\) 11.8117 + 14.0766i 0.813151 + 0.969076i 0.999911 0.0133296i \(-0.00424307\pi\)
−0.186760 + 0.982406i \(0.559799\pi\)
\(212\) 7.63556 + 2.77912i 0.524412 + 0.190871i
\(213\) 3.81351 + 2.13532i 0.261297 + 0.146310i
\(214\) 1.83817 + 10.4248i 0.125654 + 0.712622i
\(215\) 7.60621 + 20.8979i 0.518739 + 1.42522i
\(216\) −0.609387 15.4277i −0.0414636 1.04972i
\(217\) −4.01155 + 2.31607i −0.272322 + 0.157225i
\(218\) −8.60601 + 10.2562i −0.582873 + 0.694641i
\(219\) 13.1188 7.80610i 0.886486 0.527487i
\(220\) −8.06307 13.9656i −0.543612 0.941564i
\(221\) −0.646195 + 1.11924i −0.0434678 + 0.0752884i
\(222\) −1.85887 + 0.0244636i −0.124759 + 0.00164189i
\(223\) −25.0726 + 4.42098i −1.67899 + 0.296051i −0.930280 0.366849i \(-0.880436\pi\)
−0.748708 + 0.662900i \(0.769325\pi\)
\(224\) 0.844782 4.79100i 0.0564444 0.320112i
\(225\) −15.3956 25.1155i −1.02637 1.67436i
\(226\) −7.23265 + 6.06892i −0.481109 + 0.403698i
\(227\) 8.03209 0.533109 0.266554 0.963820i \(-0.414115\pi\)
0.266554 + 0.963820i \(0.414115\pi\)
\(228\) −6.52808 4.52876i −0.432333 0.299924i
\(229\) −5.34452 −0.353176 −0.176588 0.984285i \(-0.556506\pi\)
−0.176588 + 0.984285i \(0.556506\pi\)
\(230\) 1.39315 1.16899i 0.0918617 0.0770811i
\(231\) 5.01867 + 4.09984i 0.330204 + 0.269750i
\(232\) −2.24005 + 12.7040i −0.147066 + 0.834055i
\(233\) 4.41323 0.778172i 0.289120 0.0509797i −0.0272070 0.999630i \(-0.508661\pi\)
0.316327 + 0.948650i \(0.397550\pi\)
\(234\) −0.956561 + 2.86019i −0.0625324 + 0.186976i
\(235\) 14.8679 25.7519i 0.969872 1.67987i
\(236\) −3.61385 6.25938i −0.235242 0.407451i
\(237\) 3.88549 + 6.52988i 0.252390 + 0.424162i
\(238\) 0.736040 0.877179i 0.0477104 0.0568590i
\(239\) 6.74189 3.89243i 0.436096 0.251780i −0.265844 0.964016i \(-0.585651\pi\)
0.701940 + 0.712236i \(0.252317\pi\)
\(240\) −3.97920 + 3.42918i −0.256856 + 0.221352i
\(241\) 5.91131 + 16.2412i 0.380781 + 1.04619i 0.971028 + 0.238964i \(0.0768079\pi\)
−0.590247 + 0.807222i \(0.700970\pi\)
\(242\) −0.819029 4.64495i −0.0526492 0.298588i
\(243\) −4.35688 + 14.9672i −0.279494 + 0.960147i
\(244\) 4.21516 + 1.53419i 0.269848 + 0.0982166i
\(245\) −15.1353 18.0375i −0.966958 1.15238i
\(246\) 1.21110 3.46884i 0.0772169 0.221165i
\(247\) 2.54936 + 3.70995i 0.162212 + 0.236059i
\(248\) 14.6435i 0.929863i
\(249\) −6.85847 + 2.59899i −0.434638 + 0.164704i
\(250\) −6.17727 + 16.9719i −0.390685 + 1.07340i
\(251\) −8.62554 1.52092i −0.544439 0.0959994i −0.105337 0.994437i \(-0.533592\pi\)
−0.439102 + 0.898437i \(0.644703\pi\)
\(252\) −1.41557 + 2.60802i −0.0891725 + 0.164290i
\(253\) −1.81526 + 0.660702i −0.114125 + 0.0415380i
\(254\) −8.02678 4.63426i −0.503645 0.290779i
\(255\) 8.19789 1.55701i 0.513371 0.0975037i
\(256\) −13.0515 10.9515i −0.815717 0.684468i
\(257\) −18.4633 15.4925i −1.15171 0.966398i −0.151950 0.988388i \(-0.548555\pi\)
−0.999758 + 0.0219902i \(0.993000\pi\)
\(258\) −9.56943 + 1.81750i −0.595767 + 0.113153i
\(259\) 0.897489 + 0.518165i 0.0557672 + 0.0321972i
\(260\) −3.93136 + 1.43090i −0.243813 + 0.0887405i
\(261\) 6.21302 11.4468i 0.384576 0.708537i
\(262\) 16.1024 + 2.83929i 0.994810 + 0.175412i
\(263\) −4.76306 + 13.0864i −0.293703 + 0.806941i 0.701814 + 0.712360i \(0.252374\pi\)
−0.995517 + 0.0945816i \(0.969849\pi\)
\(264\) 19.1571 7.25949i 1.17904 0.446791i
\(265\) 29.7240i 1.82593i
\(266\) −1.65366 3.62936i −0.101392 0.222530i
\(267\) 4.59479 13.1604i 0.281197 0.805404i
\(268\) 0.966694 + 1.15206i 0.0590503 + 0.0703734i
\(269\) 19.4257 + 7.07039i 1.18441 + 0.431089i 0.857757 0.514055i \(-0.171857\pi\)
0.326652 + 0.945145i \(0.394080\pi\)
\(270\) 18.0210 7.37699i 1.09672 0.448949i
\(271\) 0.727540 + 4.12608i 0.0441949 + 0.250642i 0.998899 0.0469156i \(-0.0149392\pi\)
−0.954704 + 0.297557i \(0.903828\pi\)
\(272\) −0.337205 0.926463i −0.0204461 0.0561751i
\(273\) 1.27357 1.09753i 0.0770800 0.0664257i
\(274\) 18.0384 10.4145i 1.08974 0.629163i
\(275\) 25.1251 29.9429i 1.51510 1.80562i
\(276\) −0.452326 0.760171i −0.0272268 0.0457569i
\(277\) −2.59286 4.49097i −0.155790 0.269836i 0.777556 0.628813i \(-0.216459\pi\)
−0.933346 + 0.358977i \(0.883126\pi\)
\(278\) 3.43992 5.95811i 0.206312 0.357344i
\(279\) 4.68926 14.0212i 0.280739 0.839428i
\(280\) 10.5881 1.86698i 0.632763 0.111573i
\(281\) −3.26188 + 18.4991i −0.194588 + 1.10356i 0.718417 + 0.695613i \(0.244867\pi\)
−0.913005 + 0.407949i \(0.866244\pi\)
\(282\) 10.0862 + 8.23962i 0.600626 + 0.490662i
\(283\) −8.43214 + 7.07541i −0.501239 + 0.420589i −0.858034 0.513593i \(-0.828314\pi\)
0.356795 + 0.934183i \(0.383870\pi\)
\(284\) −2.65551 −0.157576
\(285\) 7.39994 28.1061i 0.438335 1.66486i
\(286\) −4.00170 −0.236625
\(287\) −1.56901 + 1.31656i −0.0926158 + 0.0777138i
\(288\) 8.11495 + 13.2382i 0.478178 + 0.780071i
\(289\) 2.68006 15.1994i 0.157650 0.894080i
\(290\) −16.0221 + 2.82513i −0.940852 + 0.165898i
\(291\) −18.6321 + 0.245207i −1.09223 + 0.0143743i
\(292\) −4.63754 + 8.03245i −0.271391 + 0.470064i
\(293\) 11.4509 + 19.8336i 0.668970 + 1.15869i 0.978192 + 0.207701i \(0.0665980\pi\)
−0.309222 + 0.950990i \(0.600069\pi\)
\(294\) 8.86275 5.27362i 0.516886 0.307564i
\(295\) 16.9950 20.2538i 0.989486 1.17922i
\(296\) 2.83722 1.63807i 0.164910 0.0952108i
\(297\) −20.6677 + 0.816365i −1.19926 + 0.0473703i
\(298\) 1.97068 + 5.41440i 0.114158 + 0.313648i
\(299\) 0.0870263 + 0.493551i 0.00503286 + 0.0285428i
\(300\) 15.6170 + 8.74450i 0.901647 + 0.504864i
\(301\) 5.10245 + 1.85714i 0.294100 + 0.107044i
\(302\) 10.1491 + 12.0952i 0.584015 + 0.696002i
\(303\) −28.6257 9.99430i −1.64450 0.574158i
\(304\) −3.41817 0.329397i −0.196045 0.0188922i
\(305\) 16.4089i 0.939573i
\(306\) 0.0961806 + 3.65352i 0.00549828 + 0.208858i
\(307\) 7.35296 20.2021i 0.419655 1.15299i −0.532246 0.846590i \(-0.678652\pi\)
0.951902 0.306404i \(-0.0991259\pi\)
\(308\) −3.87756 0.683718i −0.220944 0.0389584i
\(309\) −0.424485 + 2.60758i −0.0241481 + 0.148340i
\(310\) −17.3545 + 6.31652i −0.985670 + 0.358754i
\(311\) 6.19121 + 3.57450i 0.351071 + 0.202691i 0.665157 0.746704i \(-0.268365\pi\)
−0.314086 + 0.949395i \(0.601698\pi\)
\(312\) −0.991715 5.22153i −0.0561448 0.295611i
\(313\) 3.43872 + 2.88543i 0.194368 + 0.163094i 0.734778 0.678308i \(-0.237286\pi\)
−0.540410 + 0.841402i \(0.681731\pi\)
\(314\) −16.9783 14.2465i −0.958141 0.803976i
\(315\) −10.7361 1.60298i −0.604908 0.0903179i
\(316\) −3.99816 2.30834i −0.224914 0.129854i
\(317\) −10.4058 + 3.78740i −0.584448 + 0.212722i −0.617286 0.786739i \(-0.711768\pi\)
0.0328380 + 0.999461i \(0.489545\pi\)
\(318\) −12.8497 2.09179i −0.720575 0.117302i
\(319\) 17.0188 + 3.00088i 0.952872 + 0.168017i
\(320\) 8.70848 23.9263i 0.486819 1.33752i
\(321\) 6.67412 + 17.6123i 0.372513 + 0.983024i
\(322\) 0.444038i 0.0247453i
\(323\) 4.44077 + 3.16808i 0.247091 + 0.176277i
\(324\) −2.13314 9.22791i −0.118508 0.512662i
\(325\) −6.51829 7.76819i −0.361570 0.430902i
\(326\) −3.22043 1.17214i −0.178363 0.0649189i
\(327\) −11.6384 + 20.7852i −0.643603 + 1.14942i
\(328\) 1.12436 + 6.37657i 0.0620824 + 0.352087i
\(329\) −2.48317 6.82245i −0.136902 0.376134i
\(330\) 16.8669 + 19.5723i 0.928494 + 1.07742i
\(331\) −17.4647 + 10.0833i −0.959948 + 0.554226i −0.896157 0.443737i \(-0.853652\pi\)
−0.0637910 + 0.997963i \(0.520319\pi\)
\(332\) 2.86442 3.41368i 0.157205 0.187350i
\(333\) −3.24120 + 0.659901i −0.177617 + 0.0361624i
\(334\) −3.52923 6.11280i −0.193111 0.334477i
\(335\) −2.75071 + 4.76436i −0.150287 + 0.260305i
\(336\) 0.0168776 + 1.28245i 0.000920749 + 0.0699633i
\(337\) 7.33303 1.29301i 0.399455 0.0704348i 0.0296882 0.999559i \(-0.490549\pi\)
0.369767 + 0.929124i \(0.379437\pi\)
\(338\) 2.01725 11.4404i 0.109724 0.622276i
\(339\) −10.6279 + 13.0097i −0.577228 + 0.706592i
\(340\) −3.88378 + 3.25888i −0.210628 + 0.176738i
\(341\) 19.6171 1.06233
\(342\) 11.6295 + 5.17692i 0.628852 + 0.279936i
\(343\) −12.3286 −0.665681
\(344\) 13.1495 11.0338i 0.708975 0.594901i
\(345\) 2.04714 2.50593i 0.110214 0.134915i
\(346\) 2.64733 15.0137i 0.142321 0.807144i
\(347\) −20.4261 + 3.60168i −1.09653 + 0.193348i −0.692516 0.721403i \(-0.743498\pi\)
−0.404017 + 0.914751i \(0.632387\pi\)
\(348\) 0.104133 + 7.91258i 0.00558212 + 0.424159i
\(349\) −3.98587 + 6.90373i −0.213359 + 0.369548i −0.952764 0.303713i \(-0.901774\pi\)
0.739405 + 0.673261i \(0.235107\pi\)
\(350\) 4.49238 + 7.78103i 0.240128 + 0.415914i
\(351\) −0.722508 + 5.31721i −0.0385646 + 0.283812i
\(352\) −13.2433 + 15.7828i −0.705871 + 0.841224i
\(353\) 20.0695 11.5871i 1.06819 0.616721i 0.140505 0.990080i \(-0.455127\pi\)
0.927687 + 0.373359i \(0.121794\pi\)
\(354\) 7.55973 + 8.77226i 0.401795 + 0.466241i
\(355\) −3.32241 9.12824i −0.176335 0.484477i
\(356\) 1.47069 + 8.34069i 0.0779463 + 0.442055i
\(357\) 0.995386 1.77768i 0.0526814 0.0940848i
\(358\) −11.8467 4.31183i −0.626116 0.227887i
\(359\) −4.97359 5.92729i −0.262496 0.312831i 0.618658 0.785661i \(-0.287677\pi\)
−0.881154 + 0.472830i \(0.843232\pi\)
\(360\) −21.3584 + 26.8589i −1.12569 + 1.41559i
\(361\) 16.6192 9.20883i 0.874694 0.484675i
\(362\) 3.85252i 0.202484i
\(363\) −2.97378 7.84750i −0.156083 0.411887i
\(364\) −0.349369 + 0.959885i −0.0183119 + 0.0503116i
\(365\) −33.4135 5.89170i −1.74894 0.308385i
\(366\) −7.09358 1.15476i −0.370788 0.0603600i
\(367\) −8.07339 + 2.93847i −0.421427 + 0.153387i −0.544024 0.839070i \(-0.683100\pi\)
0.122597 + 0.992457i \(0.460878\pi\)
\(368\) −0.331100 0.191161i −0.0172598 0.00996495i
\(369\) 0.965375 6.46564i 0.0502554 0.336588i
\(370\) 3.16517 + 2.65590i 0.164550 + 0.138073i
\(371\) 5.55953 + 4.66500i 0.288636 + 0.242195i
\(372\) 1.67613 + 8.82506i 0.0869032 + 0.457558i
\(373\) 12.7094 + 7.33779i 0.658069 + 0.379936i 0.791541 0.611116i \(-0.209279\pi\)
−0.133472 + 0.991053i \(0.542613\pi\)
\(374\) −4.55695 + 1.65859i −0.235634 + 0.0857639i
\(375\) −5.16332 + 31.7179i −0.266633 + 1.63791i
\(376\) −22.6032 3.98555i −1.16567 0.205539i
\(377\) 1.53340 4.21299i 0.0789743 0.216980i
\(378\) 1.44850 4.52839i 0.0745030 0.232915i
\(379\) 24.4001i 1.25335i −0.779282 0.626674i \(-0.784416\pi\)
0.779282 0.626674i \(-0.215584\pi\)
\(380\) 4.42008 + 17.0966i 0.226745 + 0.877036i
\(381\) −15.5694 5.43588i −0.797647 0.278488i
\(382\) −9.94220 11.8487i −0.508687 0.606230i
\(383\) 0.785119 + 0.285760i 0.0401177 + 0.0146017i 0.362001 0.932178i \(-0.382094\pi\)
−0.321883 + 0.946779i \(0.604316\pi\)
\(384\) −5.91363 3.31125i −0.301779 0.168976i
\(385\) −2.50109 14.1844i −0.127467 0.722904i
\(386\) 5.24998 + 14.4242i 0.267217 + 0.734172i
\(387\) −16.1241 + 6.35403i −0.819632 + 0.322994i
\(388\) 9.80469 5.66074i 0.497758 0.287381i
\(389\) 2.71775 3.23889i 0.137795 0.164218i −0.692734 0.721194i \(-0.743594\pi\)
0.830529 + 0.556975i \(0.188038\pi\)
\(390\) 5.76043 3.42764i 0.291691 0.173565i
\(391\) 0.303665 + 0.525963i 0.0153570 + 0.0265991i
\(392\) −9.08726 + 15.7396i −0.458976 + 0.794970i
\(393\) 29.0898 0.382835i 1.46739 0.0193115i
\(394\) 3.99005 0.703553i 0.201016 0.0354445i
\(395\) 2.93259 16.6316i 0.147555 0.836825i
\(396\) 10.7143 6.56777i 0.538413 0.330043i
\(397\) 19.0110 15.9522i 0.954137 0.800616i −0.0258527 0.999666i \(-0.508230\pi\)
0.979989 + 0.199050i \(0.0637857\pi\)
\(398\) 21.6650 1.08597
\(399\) −4.09555 5.79515i −0.205034 0.290120i
\(400\) 7.73597 0.386799
\(401\) −18.0223 + 15.1225i −0.899990 + 0.755181i −0.970188 0.242352i \(-0.922081\pi\)
0.0701986 + 0.997533i \(0.477637\pi\)
\(402\) −1.86606 1.52442i −0.0930705 0.0760309i
\(403\) 0.883756 5.01203i 0.0440230 0.249667i
\(404\) 18.1421 3.19895i 0.902605 0.159154i
\(405\) 29.0518 18.8780i 1.44359 0.938054i
\(406\) −1.98616 + 3.44014i −0.0985717 + 0.170731i
\(407\) −2.19444 3.80087i −0.108774 0.188402i
\(408\) −3.29350 5.53500i −0.163053 0.274023i
\(409\) −3.18484 + 3.79554i −0.157480 + 0.187677i −0.839015 0.544108i \(-0.816868\pi\)
0.681535 + 0.731785i \(0.261313\pi\)
\(410\) −7.07209 + 4.08307i −0.349266 + 0.201649i
\(411\) 28.0738 24.1933i 1.38478 1.19337i
\(412\) −0.549001 1.50837i −0.0270474 0.0743120i
\(413\) −1.12098 6.35742i −0.0551601 0.312828i
\(414\) 0.939250 + 1.06133i 0.0461616 + 0.0521615i
\(415\) 15.3182 + 5.57536i 0.751940 + 0.273684i
\(416\) 3.43576 + 4.09458i 0.168452 + 0.200753i
\(417\) 4.03494 11.5569i 0.197592 0.565943i
\(418\) −1.62019 + 16.8128i −0.0792460 + 0.822339i
\(419\) 15.3248i 0.748666i 0.927294 + 0.374333i \(0.122128\pi\)
−0.927294 + 0.374333i \(0.877872\pi\)
\(420\) 6.16736 2.33710i 0.300936 0.114039i
\(421\) −2.52944 + 6.94957i −0.123277 + 0.338701i −0.985945 0.167069i \(-0.946570\pi\)
0.862668 + 0.505771i \(0.168792\pi\)
\(422\) 17.6164 + 3.10625i 0.857555 + 0.151210i
\(423\) 20.3664 + 11.0544i 0.990247 + 0.537481i
\(424\) 21.5592 7.84692i 1.04701 0.381080i
\(425\) −10.6424 6.14441i −0.516234 0.298048i
\(426\) 4.17995 0.793889i 0.202519 0.0384641i
\(427\) 3.06910 + 2.57528i 0.148524 + 0.124627i
\(428\) −8.76621 7.35572i −0.423731 0.355552i
\(429\) −6.99501 + 1.32855i −0.337722 + 0.0641430i
\(430\) 18.7486 + 10.8245i 0.904137 + 0.522004i
\(431\) −21.0743 + 7.67041i −1.01511 + 0.369471i −0.795394 0.606093i \(-0.792736\pi\)
−0.219719 + 0.975563i \(0.570514\pi\)
\(432\) −2.75303 3.02958i −0.132455 0.145761i
\(433\) 4.97197 + 0.876693i 0.238938 + 0.0421312i 0.291835 0.956469i \(-0.405734\pi\)
−0.0528968 + 0.998600i \(0.516845\pi\)
\(434\) −1.54225 + 4.23729i −0.0740303 + 0.203397i
\(435\) −27.0689 + 10.2577i −1.29786 + 0.491817i
\(436\) 14.4736i 0.693162i
\(437\) 2.10884 0.165807i 0.100880 0.00793161i
\(438\) 4.89840 14.0300i 0.234055 0.670380i
\(439\) 6.97583 + 8.31347i 0.332938 + 0.396780i 0.906378 0.422467i \(-0.138836\pi\)
−0.573440 + 0.819248i \(0.694391\pi\)
\(440\) −42.7867 15.5731i −2.03978 0.742418i
\(441\) 13.7414 12.1607i 0.654350 0.579083i
\(442\) 0.218467 + 1.23899i 0.0103914 + 0.0589326i
\(443\) 0.466572 + 1.28190i 0.0221675 + 0.0609047i 0.950283 0.311388i \(-0.100794\pi\)
−0.928115 + 0.372293i \(0.878572\pi\)
\(444\) 1.52238 1.31195i 0.0722491 0.0622626i
\(445\) −26.8308 + 15.4908i −1.27190 + 0.734333i
\(446\) −15.9308 + 18.9856i −0.754345 + 0.898993i
\(447\) 5.24233 + 8.81017i 0.247954 + 0.416707i
\(448\) −3.10840 5.38391i −0.146858 0.254366i
\(449\) 12.5605 21.7554i 0.592767 1.02670i −0.401091 0.916038i \(-0.631369\pi\)
0.993858 0.110664i \(-0.0352977\pi\)
\(450\) −27.1964 9.09556i −1.28205 0.428769i
\(451\) 8.54236 1.50625i 0.402244 0.0709265i
\(452\) 1.77238 10.0517i 0.0833658 0.472791i
\(453\) 21.7563 + 17.7731i 1.02220 + 0.835054i
\(454\) 5.98969 5.02594i 0.281110 0.235879i
\(455\) −3.73668 −0.175178
\(456\) −22.3393 + 2.05253i −1.04613 + 0.0961187i
\(457\) 18.4143 0.861385 0.430692 0.902499i \(-0.358269\pi\)
0.430692 + 0.902499i \(0.358269\pi\)
\(458\) −3.98551 + 3.34424i −0.186231 + 0.156266i
\(459\) 1.38108 + 6.35446i 0.0644633 + 0.296601i
\(460\) −0.341396 + 1.93615i −0.0159177 + 0.0902735i
\(461\) 24.2759 4.28049i 1.13064 0.199362i 0.423132 0.906068i \(-0.360931\pi\)
0.707508 + 0.706706i \(0.249819\pi\)
\(462\) 6.30792 0.0830151i 0.293471 0.00386221i
\(463\) −2.54672 + 4.41106i −0.118356 + 0.204999i −0.919116 0.393986i \(-0.871096\pi\)
0.800760 + 0.598985i \(0.204429\pi\)
\(464\) 1.71011 + 2.96199i 0.0793898 + 0.137507i
\(465\) −28.2388 + 16.8030i −1.30954 + 0.779220i
\(466\) 2.80410 3.34180i 0.129898 0.154806i
\(467\) −2.55047 + 1.47252i −0.118022 + 0.0681399i −0.557849 0.829943i \(-0.688373\pi\)
0.439827 + 0.898083i \(0.355040\pi\)
\(468\) −1.19534 3.03330i −0.0552544 0.140214i
\(469\) 0.459412 + 1.26222i 0.0212137 + 0.0582841i
\(470\) −5.02655 28.5070i −0.231857 1.31493i
\(471\) −34.4080 19.2663i −1.58544 0.887743i
\(472\) −19.1769 6.97983i −0.882690 0.321273i
\(473\) −14.7814 17.6158i −0.679648 0.809973i
\(474\) 6.98345 + 2.43818i 0.320760 + 0.111989i
\(475\) −35.2764 + 24.2408i −1.61859 + 1.11225i
\(476\) 1.23788i 0.0567380i
\(477\) −23.1559 + 0.609589i −1.06023 + 0.0279112i
\(478\) 2.59193 7.12128i 0.118552 0.325720i
\(479\) 37.3421 + 6.58442i 1.70620 + 0.300850i 0.939855 0.341574i \(-0.110960\pi\)
0.766350 + 0.642424i \(0.222071\pi\)
\(480\) 5.54503 34.0627i 0.253095 1.55474i
\(481\) −1.06995 + 0.389432i −0.0487857 + 0.0177565i
\(482\) 14.5708 + 8.41247i 0.663683 + 0.383177i
\(483\) −0.147419 0.776184i −0.00670781 0.0353176i
\(484\) 3.90595 + 3.27748i 0.177543 + 0.148976i
\(485\) 31.7256 + 26.6209i 1.44059 + 1.20879i
\(486\) 6.11646 + 13.8876i 0.277448 + 0.629954i
\(487\) −20.3426 11.7448i −0.921810 0.532207i −0.0375979 0.999293i \(-0.511971\pi\)
−0.884212 + 0.467086i \(0.845304\pi\)
\(488\) 11.9016 4.33184i 0.538761 0.196093i
\(489\) −6.01850 0.979744i −0.272166 0.0443055i
\(490\) −22.5734 3.98029i −1.01976 0.179811i
\(491\) −0.192209 + 0.528090i −0.00867427 + 0.0238324i −0.943954 0.330076i \(-0.892925\pi\)
0.935280 + 0.353909i \(0.115148\pi\)
\(492\) 1.40748 + 3.71421i 0.0634543 + 0.167450i
\(493\) 5.43312i 0.244695i
\(494\) 4.22254 + 1.17136i 0.189981 + 0.0527022i
\(495\) 35.9815 + 28.6128i 1.61725 + 1.28605i
\(496\) 2.49562 + 2.97416i 0.112057 + 0.133544i
\(497\) −2.22876 0.811202i −0.0999735 0.0363874i
\(498\) −3.48822 + 6.22969i −0.156311 + 0.279159i
\(499\) 0.766881 + 4.34920i 0.0343303 + 0.194697i 0.997150 0.0754493i \(-0.0240391\pi\)
−0.962819 + 0.270146i \(0.912928\pi\)
\(500\) −6.67790 18.3474i −0.298645 0.820520i
\(501\) −8.19855 9.51355i −0.366284 0.425034i
\(502\) −7.38392 + 4.26311i −0.329560 + 0.190272i
\(503\) −15.8601 + 18.9014i −0.707168 + 0.842770i −0.993317 0.115415i \(-0.963180\pi\)
0.286150 + 0.958185i \(0.407625\pi\)
\(504\) 1.67157 + 8.21018i 0.0744578 + 0.365710i
\(505\) 33.6945 + 58.3606i 1.49939 + 2.59701i
\(506\) −0.940254 + 1.62857i −0.0417994 + 0.0723987i
\(507\) −0.271996 20.6677i −0.0120798 0.917884i
\(508\) 9.86746 1.73990i 0.437798 0.0771956i
\(509\) −4.61747 + 26.1870i −0.204666 + 1.16072i 0.693299 + 0.720650i \(0.256156\pi\)
−0.897965 + 0.440067i \(0.854955\pi\)
\(510\) 5.13905 6.29078i 0.227561 0.278560i
\(511\) −6.34600 + 5.32493i −0.280731 + 0.235561i
\(512\) −8.75937 −0.387113
\(513\) 22.0472 + 5.18835i 0.973410 + 0.229071i
\(514\) −23.4626 −1.03489
\(515\) 4.49809 3.77435i 0.198210 0.166318i
\(516\) 6.66176 8.15475i 0.293268 0.358993i
\(517\) −5.33924 + 30.2803i −0.234819 + 1.33173i
\(518\) 0.993508 0.175182i 0.0436522 0.00769706i
\(519\) −0.356952 27.1231i −0.0156685 1.19057i
\(520\) −5.90635 + 10.2301i −0.259011 + 0.448620i
\(521\) −22.0694 38.2253i −0.966878 1.67468i −0.704482 0.709722i \(-0.748821\pi\)
−0.262396 0.964960i \(-0.584513\pi\)
\(522\) −2.52945 12.4238i −0.110711 0.543773i
\(523\) −25.4961 + 30.3850i −1.11486 + 1.32864i −0.175987 + 0.984392i \(0.556312\pi\)
−0.938877 + 0.344252i \(0.888133\pi\)
\(524\) −15.3078 + 8.83797i −0.668725 + 0.386089i
\(525\) 10.4360 + 12.1099i 0.455464 + 0.528518i
\(526\) 4.63668 + 12.7392i 0.202169 + 0.555454i
\(527\) −1.07097 6.07376i −0.0466521 0.264577i
\(528\) 2.65369 4.73928i 0.115487 0.206251i
\(529\) −21.3916 7.78591i −0.930071 0.338518i
\(530\) 18.5993 + 22.1658i 0.807902 + 0.962820i
\(531\) 16.1269 + 12.8242i 0.699846 + 0.556523i
\(532\) 3.89142 + 1.85648i 0.168714 + 0.0804885i
\(533\) 2.25036i 0.0974741i
\(534\) −4.80848 12.6891i −0.208083 0.549111i
\(535\) 14.3173 39.3366i 0.618992 1.70067i
\(536\) 4.18182 + 0.737368i 0.180627 + 0.0318495i
\(537\) −22.1396 3.60408i −0.955394 0.155527i
\(538\) 18.9103 6.88280i 0.815282 0.296738i
\(539\) 21.0855 + 12.1737i 0.908218 + 0.524360i
\(540\) −9.79756 + 18.6316i −0.421620 + 0.801774i
\(541\) −27.6522 23.2029i −1.18886 0.997573i −0.999878 0.0155921i \(-0.995037\pi\)
−0.188982 0.981980i \(-0.560519\pi\)
\(542\) 3.12437 + 2.62165i 0.134203 + 0.112610i
\(543\) −1.27902 6.73425i −0.0548882 0.288995i
\(544\) 5.60958 + 3.23869i 0.240509 + 0.138858i
\(545\) 49.7527 18.1085i 2.13117 0.775682i
\(546\) 0.262963 1.61537i 0.0112538 0.0691313i
\(547\) 19.9934 + 3.52537i 0.854855 + 0.150734i 0.583868 0.811849i \(-0.301539\pi\)
0.270988 + 0.962583i \(0.412650\pi\)
\(548\) −7.70129 + 21.1591i −0.328983 + 0.903872i
\(549\) −12.7830 + 0.336519i −0.545567 + 0.0143623i
\(550\) 38.0506i 1.62248i
\(551\) −17.0797 8.14819i −0.727618 0.347125i
\(552\) −2.35802 0.823272i −0.100364 0.0350408i
\(553\) −2.65049 3.15873i −0.112710 0.134323i
\(554\) −4.74369 1.72656i −0.201540 0.0733547i
\(555\) 6.41450 + 3.59171i 0.272281 + 0.152459i
\(556\) 1.29149 + 7.32441i 0.0547714 + 0.310624i
\(557\) −9.69201 26.6286i −0.410664 1.12829i −0.956839 0.290619i \(-0.906139\pi\)
0.546175 0.837671i \(-0.316083\pi\)
\(558\) −5.27666 13.3901i −0.223379 0.566849i
\(559\) −5.16659 + 2.98293i −0.218524 + 0.126165i
\(560\) 1.83232 2.18368i 0.0774298 0.0922772i
\(561\) −7.41495 + 4.41213i −0.313060 + 0.186280i
\(562\) 9.14302 + 15.8362i 0.385675 + 0.668009i
\(563\) −7.48478 + 12.9640i −0.315446 + 0.546368i −0.979532 0.201288i \(-0.935487\pi\)
0.664086 + 0.747656i \(0.268821\pi\)
\(564\) −14.0783 + 0.185276i −0.592801 + 0.00780154i
\(565\) 36.7698 6.48350i 1.54692 0.272763i
\(566\) −1.86070 + 10.5525i −0.0782109 + 0.443556i
\(567\) 1.02859 8.39657i 0.0431968 0.352623i
\(568\) −5.74374 + 4.81957i −0.241002 + 0.202225i
\(569\) −32.6749 −1.36980 −0.684901 0.728636i \(-0.740155\pi\)
−0.684901 + 0.728636i \(0.740155\pi\)
\(570\) −12.0687 25.5897i −0.505500 1.07183i
\(571\) 29.9468 1.25324 0.626618 0.779327i \(-0.284439\pi\)
0.626618 + 0.779327i \(0.284439\pi\)
\(572\) 3.31392 2.78071i 0.138562 0.116267i
\(573\) −21.3128 17.4108i −0.890355 0.727347i
\(574\) −0.346229 + 1.96356i −0.0144513 + 0.0819575i
\(575\) −4.69297 + 0.827498i −0.195711 + 0.0345091i
\(576\) 18.8179 + 6.29346i 0.784079 + 0.262228i
\(577\) −13.5840 + 23.5283i −0.565511 + 0.979494i 0.431491 + 0.902117i \(0.357988\pi\)
−0.997002 + 0.0773769i \(0.975346\pi\)
\(578\) −7.51217 13.0115i −0.312465 0.541205i
\(579\) 13.9658 + 23.4707i 0.580399 + 0.975408i
\(580\) 11.3052 13.4731i 0.469425 0.559438i
\(581\) 3.44690 1.99007i 0.143001 0.0825618i
\(582\) −13.7409 + 11.8416i −0.569577 + 0.490849i
\(583\) −10.5121 28.8818i −0.435367 1.19616i
\(584\) 4.54758 + 25.7906i 0.188180 + 1.06722i
\(585\) 8.93133 7.90399i 0.369265 0.326790i
\(586\) 20.9497 + 7.62507i 0.865424 + 0.314989i
\(587\) 11.5736 + 13.7929i 0.477695 + 0.569295i 0.950044 0.312117i \(-0.101038\pi\)
−0.472349 + 0.881412i \(0.656594\pi\)
\(588\) −3.67495 + 10.5258i −0.151552 + 0.434076i
\(589\) −20.6998 5.74227i −0.852919 0.236606i
\(590\) 25.7380i 1.05962i
\(591\) 6.74107 2.55450i 0.277290 0.105078i
\(592\) 0.297084 0.816233i 0.0122101 0.0335470i
\(593\) −22.7215 4.00642i −0.933062 0.164524i −0.313604 0.949554i \(-0.601536\pi\)
−0.619458 + 0.785030i \(0.712648\pi\)
\(594\) −14.9015 + 13.5412i −0.611414 + 0.555603i
\(595\) −4.25516 + 1.54875i −0.174445 + 0.0634926i
\(596\) −5.39434 3.11443i −0.220961 0.127572i
\(597\) 37.8707 7.19271i 1.54994 0.294378i
\(598\) 0.373728 + 0.313595i 0.0152829 + 0.0128239i
\(599\) −16.7485 14.0536i −0.684323 0.574216i 0.232943 0.972490i \(-0.425165\pi\)
−0.917266 + 0.398275i \(0.869609\pi\)
\(600\) 49.6494 9.42982i 2.02693 0.384971i
\(601\) 34.1830 + 19.7356i 1.39435 + 0.805031i 0.993794 0.111239i \(-0.0354818\pi\)
0.400561 + 0.916270i \(0.368815\pi\)
\(602\) 4.96707 1.80786i 0.202443 0.0736830i
\(603\) −3.76799 2.04517i −0.153444 0.0832858i
\(604\) −16.8095 2.96397i −0.683969 0.120602i
\(605\) −6.37936 + 17.5271i −0.259358 + 0.712580i
\(606\) −27.6005 + 10.4591i −1.12119 + 0.424872i
\(607\) 19.6240i 0.796513i −0.917274 0.398257i \(-0.869615\pi\)
0.917274 0.398257i \(-0.130385\pi\)
\(608\) 18.5941 12.7772i 0.754088 0.518185i
\(609\) −2.32972 + 6.67280i −0.0944052 + 0.270395i
\(610\) 10.2676 + 12.2365i 0.415723 + 0.495440i
\(611\) 7.49586 + 2.72827i 0.303250 + 0.110374i
\(612\) −2.61841 2.95875i −0.105843 0.119600i
\(613\) −1.42980 8.10881i −0.0577492 0.327512i 0.942223 0.334987i \(-0.108732\pi\)
−0.999972 + 0.00747482i \(0.997621\pi\)
\(614\) −7.15786 19.6661i −0.288868 0.793658i
\(615\) −11.0065 + 9.48516i −0.443826 + 0.382479i
\(616\) −9.62786 + 5.55865i −0.387918 + 0.223964i
\(617\) 19.4518 23.1818i 0.783102 0.933264i −0.215967 0.976401i \(-0.569290\pi\)
0.999069 + 0.0431361i \(0.0137349\pi\)
\(618\) 1.31510 + 2.21014i 0.0529012 + 0.0889048i
\(619\) −1.78524 3.09212i −0.0717547 0.124283i 0.827916 0.560853i \(-0.189527\pi\)
−0.899670 + 0.436570i \(0.856193\pi\)
\(620\) 9.98251 17.2902i 0.400907 0.694392i
\(621\) 1.99418 + 1.54339i 0.0800236 + 0.0619341i
\(622\) 6.85358 1.20847i 0.274804 0.0484553i
\(623\) −1.31356 + 7.44956i −0.0526266 + 0.298460i
\(624\) −1.09130 0.891504i −0.0436870 0.0356887i
\(625\) 17.1025 14.3507i 0.684100 0.574028i
\(626\) 4.36982 0.174653
\(627\) 2.74968 + 29.9268i 0.109811 + 1.19516i
\(628\) 23.9598 0.956102
\(629\) −1.05701 + 0.886934i −0.0421456 + 0.0353644i
\(630\) −9.00912 + 5.52253i −0.358932 + 0.220023i
\(631\) 7.66474 43.4689i 0.305128 1.73047i −0.317771 0.948167i \(-0.602934\pi\)
0.622900 0.782302i \(-0.285954\pi\)
\(632\) −12.8373 + 2.26356i −0.510640 + 0.0900396i
\(633\) 31.8250 0.418831i 1.26493 0.0166470i
\(634\) −5.38990 + 9.33558i −0.214060 + 0.370763i
\(635\) 18.3264 + 31.7422i 0.727260 + 1.25965i
\(636\) 12.0947 7.19675i 0.479587 0.285370i
\(637\) 4.06021 4.83876i 0.160871 0.191719i
\(638\) 14.5690 8.41143i 0.576793 0.333012i
\(639\) 7.04302 2.77545i 0.278618 0.109795i
\(640\) 5.15207 + 14.1552i 0.203654 + 0.559534i
\(641\) 6.23658 + 35.3694i 0.246330 + 1.39701i 0.817384 + 0.576094i \(0.195424\pi\)
−0.571054 + 0.820913i \(0.693465\pi\)
\(642\) 15.9976 + 8.95764i 0.631376 + 0.353530i
\(643\) −14.3616 5.22718i −0.566365 0.206140i 0.0429378 0.999078i \(-0.486328\pi\)
−0.609303 + 0.792938i \(0.708551\pi\)
\(644\) 0.308554 + 0.367721i 0.0121587 + 0.0144902i
\(645\) 36.3664 + 12.6969i 1.43193 + 0.499939i
\(646\) 5.29394 0.416233i 0.208287 0.0163765i
\(647\) 16.9968i 0.668212i −0.942536 0.334106i \(-0.891566\pi\)
0.942536 0.334106i \(-0.108434\pi\)
\(648\) −21.3619 16.0880i −0.839174 0.631996i
\(649\) −9.35052 + 25.6903i −0.367040 + 1.00843i
\(650\) −9.72163 1.71419i −0.381314 0.0672359i
\(651\) −1.28910 + 7.91885i −0.0505238 + 0.310364i
\(652\) 3.48143 1.26714i 0.136343 0.0496249i
\(653\) 4.58433 + 2.64676i 0.179399 + 0.103576i 0.587010 0.809580i \(-0.300305\pi\)
−0.407611 + 0.913155i \(0.633638\pi\)
\(654\) 4.32703 + 22.7824i 0.169200 + 0.890864i
\(655\) −49.5324 41.5626i −1.93539 1.62399i
\(656\) 1.31509 + 1.10349i 0.0513457 + 0.0430841i
\(657\) 3.90455 26.1509i 0.152331 1.02024i
\(658\) −6.12078 3.53383i −0.238613 0.137763i
\(659\) −24.0269 + 8.74509i −0.935956 + 0.340660i −0.764568 0.644543i \(-0.777048\pi\)
−0.171388 + 0.985204i \(0.554825\pi\)
\(660\) −27.5684 4.48783i −1.07310 0.174688i
\(661\) −23.7023 4.17936i −0.921913 0.162558i −0.307505 0.951546i \(-0.599494\pi\)
−0.614408 + 0.788988i \(0.710605\pi\)
\(662\) −6.71435 + 18.4475i −0.260961 + 0.716984i
\(663\) 0.793221 + 2.09323i 0.0308062 + 0.0812944i
\(664\) 12.5823i 0.488289i
\(665\) −1.51289 + 15.6993i −0.0586673 + 0.608793i
\(666\) −2.00411 + 2.52023i −0.0776575 + 0.0976569i
\(667\) −1.35426 1.61395i −0.0524373 0.0624923i
\(668\) 7.17032 + 2.60978i 0.277428 + 0.100976i
\(669\) −21.5441 + 38.4760i −0.832941 + 1.48757i
\(670\) 0.929964 + 5.27409i 0.0359276 + 0.203756i
\(671\) −5.80314 15.9440i −0.224028 0.615511i
\(672\) −5.50077 6.38306i −0.212197 0.246232i
\(673\) 26.8141 15.4811i 1.03361 0.596754i 0.115591 0.993297i \(-0.463124\pi\)
0.918016 + 0.396543i \(0.129790\pi\)
\(674\) 4.65930 5.55274i 0.179470 0.213883i
\(675\) −50.5592 6.87004i −1.94603 0.264428i
\(676\) 6.27919 + 10.8759i 0.241507 + 0.418303i
\(677\) 4.46701 7.73710i 0.171681 0.297361i −0.767326 0.641257i \(-0.778413\pi\)
0.939008 + 0.343896i \(0.111747\pi\)
\(678\) 0.215198 + 16.3518i 0.00826462 + 0.627989i
\(679\) 9.95826 1.75591i 0.382163 0.0673857i
\(680\) −2.48579 + 14.0976i −0.0953256 + 0.540618i
\(681\) 8.80144 10.7740i 0.337272 0.412859i
\(682\) 14.6289 12.2751i 0.560169 0.470038i
\(683\) −44.5537 −1.70480 −0.852400 0.522890i \(-0.824854\pi\)
−0.852400 + 0.522890i \(0.824854\pi\)
\(684\) −13.2281 + 3.79399i −0.505788 + 0.145067i
\(685\) −82.3691 −3.14716
\(686\) −9.19366 + 7.71440i −0.351015 + 0.294537i
\(687\) −5.85644 + 7.16895i −0.223437 + 0.273512i
\(688\) 0.790301 4.48202i 0.0301300 0.170875i
\(689\) −7.85265 + 1.38463i −0.299162 + 0.0527504i
\(690\) −0.0414513 3.14969i −0.00157802 0.119907i
\(691\) −1.53979 + 2.66699i −0.0585763 + 0.101457i −0.893827 0.448413i \(-0.851989\pi\)
0.835250 + 0.549870i \(0.185323\pi\)
\(692\) 8.24045 + 14.2729i 0.313255 + 0.542573i
\(693\) 10.9988 2.23932i 0.417808 0.0850647i
\(694\) −12.9785 + 15.4672i −0.492656 + 0.587125i
\(695\) −23.5616 + 13.6033i −0.893742 + 0.516002i
\(696\) 14.5860 + 16.9255i 0.552881 + 0.641560i
\(697\) −0.932715 2.56261i −0.0353291 0.0970659i
\(698\) 1.34755 + 7.64234i 0.0510055 + 0.289267i
\(699\) 3.79214 6.77246i 0.143432 0.256158i
\(700\) −9.12716 3.32201i −0.344974 0.125560i
\(701\) 10.2378 + 12.2010i 0.386677 + 0.460824i 0.923910 0.382610i \(-0.124975\pi\)
−0.537233 + 0.843434i \(0.680530\pi\)
\(702\) 2.78836 + 4.41724i 0.105240 + 0.166718i
\(703\) 1.20296 + 4.65299i 0.0453706 + 0.175491i
\(704\) 26.3282i 0.992282i
\(705\) −18.2507 48.1617i −0.687360 1.81387i
\(706\) 7.71577 21.1989i 0.290387 0.797831i
\(707\) 16.2038 + 2.85717i 0.609407 + 0.107455i
\(708\) −12.3561 2.01144i −0.464371 0.0755944i
\(709\) −22.5919 + 8.22277i −0.848456 + 0.308813i −0.729411 0.684076i \(-0.760206\pi\)
−0.119045 + 0.992889i \(0.537983\pi\)
\(710\) −8.18942 4.72816i −0.307343 0.177445i
\(711\) 13.0166 + 1.94349i 0.488161 + 0.0728866i
\(712\) 18.3188 + 15.3713i 0.686526 + 0.576063i
\(713\) −1.83209 1.53731i −0.0686123 0.0575726i
\(714\) −0.370074 1.94850i −0.0138497 0.0729206i
\(715\) 13.7047 + 7.91244i 0.512529 + 0.295908i
\(716\) 12.8068 4.66128i 0.478611 0.174200i
\(717\) 2.16649 13.3086i 0.0809090 0.497018i
\(718\) −7.41780 1.30796i −0.276830 0.0488126i
\(719\) 16.7833 46.1117i 0.625911 1.71968i −0.0661225 0.997812i \(-0.521063\pi\)
0.692034 0.721865i \(-0.256715\pi\)
\(720\) 0.239435 + 9.09519i 0.00892322 + 0.338958i
\(721\) 1.43367i 0.0533928i
\(722\) 6.63098 17.2664i 0.246780 0.642588i
\(723\) 28.2629 + 9.86762i 1.05111 + 0.366981i
\(724\) 2.67705 + 3.19038i 0.0994917 + 0.118570i
\(725\) 40.0597 + 14.5805i 1.48778 + 0.541507i
\(726\) −7.12804 3.99124i −0.264546 0.148129i
\(727\) 4.87540 + 27.6498i 0.180819 + 1.02547i 0.931211 + 0.364480i \(0.118753\pi\)
−0.750393 + 0.660993i \(0.770135\pi\)
\(728\) 0.986455 + 2.71026i 0.0365605 + 0.100449i
\(729\) 15.3023 + 22.2450i 0.566751 + 0.823889i
\(730\) −28.6037 + 16.5144i −1.05867 + 0.611224i
\(731\) −4.64714 + 5.53824i −0.171881 + 0.204839i
\(732\) 6.67681 3.97292i 0.246782 0.146843i
\(733\) −0.671595 1.16324i −0.0248059 0.0429651i 0.853356 0.521329i \(-0.174563\pi\)
−0.878162 + 0.478364i \(0.841230\pi\)
\(734\) −4.18178 + 7.24306i −0.154352 + 0.267346i
\(735\) −40.7799 + 0.536682i −1.50419 + 0.0197958i
\(736\) 2.47365 0.436170i 0.0911798 0.0160775i
\(737\) 0.987815 5.60217i 0.0363866 0.206359i
\(738\) −3.32587 5.42562i −0.122427 0.199720i
\(739\) −0.414289 + 0.347630i −0.0152399 + 0.0127878i −0.650376 0.759613i \(-0.725389\pi\)
0.635136 + 0.772400i \(0.280944\pi\)
\(740\) −4.46670 −0.164199
\(741\) 7.76994 + 0.645687i 0.285436 + 0.0237199i
\(742\) 7.06489 0.259360
\(743\) 26.3387 22.1008i 0.966272 0.810799i −0.0156896 0.999877i \(-0.504994\pi\)
0.981962 + 0.189078i \(0.0605499\pi\)
\(744\) 19.6423 + 16.0461i 0.720120 + 0.588279i
\(745\) 3.95668 22.4394i 0.144961 0.822117i
\(746\) 14.0692 2.48077i 0.515108 0.0908275i
\(747\) −4.02921 + 12.0476i −0.147421 + 0.440800i
\(748\) 2.62121 4.54007i 0.0958410 0.166001i
\(749\) −5.11042 8.85151i −0.186731 0.323427i
\(750\) 15.9965 + 26.8835i 0.584111 + 0.981647i
\(751\) 26.1379 31.1499i 0.953784 1.13668i −0.0367385 0.999325i \(-0.511697\pi\)
0.990523 0.137351i \(-0.0438587\pi\)
\(752\) −5.27005 + 3.04267i −0.192179 + 0.110955i
\(753\) −11.4918 + 9.90339i −0.418786 + 0.360900i
\(754\) −1.49272 4.10121i −0.0543616 0.149357i
\(755\) −10.8424 61.4905i −0.394596 2.23787i
\(756\) 1.94715 + 4.75662i 0.0708171 + 0.172997i
\(757\) 16.1453 + 5.87639i 0.586809 + 0.213581i 0.618325 0.785922i \(-0.287811\pi\)
−0.0315162 + 0.999503i \(0.510034\pi\)
\(758\) −15.2679 18.1956i −0.554556 0.660894i
\(759\) −1.10290 + 3.15891i −0.0400326 + 0.114661i
\(760\) 40.5895 + 28.9569i 1.47234 + 1.05038i
\(761\) 31.1788i 1.13023i −0.825012 0.565116i \(-0.808832\pi\)
0.825012 0.565116i \(-0.191168\pi\)
\(762\) −15.0118 + 5.68868i −0.543822 + 0.206079i
\(763\) 4.42139 12.1477i 0.160065 0.439775i
\(764\) 16.4668 + 2.90355i 0.595749 + 0.105047i