Properties

Label 57.2.j.b.41.2
Level 57
Weight 2
Character 57.41
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 41.2
Character \(\chi\) = 57.41
Dual form 57.2.j.b.32.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.745719 - 0.625733i) q^{2} +(0.0227926 + 1.73190i) q^{3} +(-0.182741 - 1.03637i) q^{4} +(3.79113 + 0.668479i) q^{5} +(1.06671 - 1.30577i) q^{6} +(-0.469963 - 0.814000i) q^{7} +(-1.48569 + 2.57329i) q^{8} +(-2.99896 + 0.0789491i) q^{9} +O(q^{10})\) \(q+(-0.745719 - 0.625733i) q^{2} +(0.0227926 + 1.73190i) q^{3} +(-0.182741 - 1.03637i) q^{4} +(3.79113 + 0.668479i) q^{5} +(1.06671 - 1.30577i) q^{6} +(-0.469963 - 0.814000i) q^{7} +(-1.48569 + 2.57329i) q^{8} +(-2.99896 + 0.0789491i) q^{9} +(-2.40883 - 2.87073i) q^{10} +(-3.44730 - 1.99030i) q^{11} +(1.79073 - 0.340110i) q^{12} +(-0.353205 + 0.970422i) q^{13} +(-0.158886 + 0.901087i) q^{14} +(-1.07133 + 6.58110i) 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} +(1.39906 - 0.832483i) q^{21} +(1.32532 + 3.64129i) q^{22} +(0.477922 - 0.0842705i) q^{23} +(-4.49054 - 2.51441i) q^{24} +(9.22735 + 3.35848i) q^{25} +(0.870616 - 0.502651i) q^{26} +(-0.205086 - 5.19210i) q^{27} +(-0.757727 + 0.635808i) q^{28} +(-3.32571 + 2.79060i) q^{29} +(4.91692 - 4.23729i) q^{30} +(4.26794 - 2.46410i) q^{31} +(4.86370 + 1.77024i) q^{32} +(3.36843 - 6.01574i) q^{33} +(-1.19975 + 0.211549i) q^{34} +(-1.23755 - 3.40014i) q^{35} +(0.629853 + 3.09362i) 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} +(-1.56421 - 0.254637i) q^{42} +(-1.00316 + 5.68919i) q^{43} +(-1.43273 + 3.93640i) q^{44} +(-11.4222 - 1.70544i) q^{45} +(-0.409126 - 0.236209i) q^{46} +(4.96510 + 5.91718i) q^{47} +(0.483531 + 1.27599i) q^{48} +(3.05827 - 5.29708i) q^{49} +(-4.77950 - 8.27834i) q^{50} +(1.67867 + 1.37134i) q^{51} +(1.07026 + 0.188716i) q^{52} +(-1.34079 - 7.60399i) q^{53} +(-3.09593 + 4.00018i) q^{54} +(-11.7387 - 9.84993i) q^{55} +2.79287 q^{56} +(1.79342 - 7.33373i) q^{57} +4.22621 q^{58} +(5.26126 + 4.41472i) q^{59} +(7.01625 - 0.0923371i) q^{60} +(0.740173 + 4.19773i) q^{61} +(-4.72455 - 0.833066i) q^{62} +(1.47367 + 2.40405i) q^{63} +(-3.30707 - 5.72801i) q^{64} +(-1.98775 + 3.44289i) q^{65} +(-6.27615 + 2.37832i) q^{66} +(0.918596 + 1.09474i) q^{67} +(-1.14055 - 0.658497i) q^{68} +(0.156841 + 0.825793i) q^{69} +(-1.20471 + 3.30993i) q^{70} +(-0.438181 + 2.48505i) q^{71} +(4.25236 - 7.83448i) 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} +(0.890385 + 1.49636i) q^{78} +(-1.50043 - 4.12240i) q^{79} +(2.98671 - 0.526637i) q^{80} +(8.98753 - 0.473530i) q^{81} +(1.99336 + 0.725523i) q^{82} +(3.66720 - 2.11726i) q^{83} +(-1.11843 - 1.29782i) q^{84} +(3.69054 - 3.09673i) q^{85} +(4.30799 - 3.61483i) q^{86} +(-4.90884 - 5.69619i) q^{87} +(10.2432 - 5.91392i) q^{88} +(-7.56260 - 2.75256i) q^{89} +(7.45063 + 8.41904i) q^{90} +(0.955916 - 0.168554i) q^{91} +(-0.174671 - 0.479906i) q^{92} +(4.36485 + 7.33548i) 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} +(10.4954 + 5.69667i) 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 \(\left(\mathbb{Z}/57\mathbb{Z}\right)^\times\).

\(n\) \(20\) \(40\)
\(\chi(n)\) \(-1\) \(e\left(\frac{13}{18}\right)\)

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 \(-0.389618\pi\)
−0.867169 + 0.498014i \(0.834063\pi\)
\(3\) 0.0227926 + 1.73190i 0.0131593 + 0.999913i
\(4\) −0.182741 1.03637i −0.0913703 0.518187i
\(5\) 3.79113 + 0.668479i 1.69545 + 0.298953i 0.936100 0.351734i \(-0.114408\pi\)
0.759346 + 0.650687i \(0.225519\pi\)
\(6\) 1.06671 1.30577i 0.435483 0.533080i
\(7\) −0.469963 0.814000i −0.177629 0.307663i 0.763439 0.645880i \(-0.223509\pi\)
−0.941068 + 0.338217i \(0.890176\pi\)
\(8\) −1.48569 + 2.57329i −0.525270 + 0.909794i
\(9\) −2.99896 + 0.0789491i −0.999654 + 0.0263164i
\(10\) −2.40883 2.87073i −0.761739 0.907805i
\(11\) −3.44730 1.99030i −1.03940 0.600098i −0.119736 0.992806i \(-0.538205\pi\)
−0.919663 + 0.392708i \(0.871538\pi\)
\(12\) 1.79073 0.340110i 0.516939 0.0981814i
\(13\) −0.353205 + 0.970422i −0.0979613 + 0.269147i −0.978987 0.203921i \(-0.934631\pi\)
0.881026 + 0.473068i \(0.156854\pi\)
\(14\) −0.158886 + 0.901087i −0.0424640 + 0.240826i
\(15\) −1.07133 + 6.58110i −0.276616 + 1.69923i
\(16\) 0.740303 0.269448i 0.185076 0.0673620i
\(17\) 0.804427 0.958678i 0.195102 0.232514i −0.659620 0.751599i \(-0.729283\pi\)
0.854722 + 0.519085i \(0.173727\pi\)
\(18\) 2.28578 + 1.81767i 0.538764 + 0.428430i
\(19\) −4.22014 1.09106i −0.968167 0.250306i
\(20\) 4.05119i 0.905873i
\(21\) 1.39906 0.832483i 0.305299 0.181663i
\(22\) 1.32532 + 3.64129i 0.282560 + 0.776326i
\(23\) 0.477922 0.0842705i 0.0996536 0.0175716i −0.123599 0.992332i \(-0.539444\pi\)
0.223253 + 0.974761i \(0.428333\pi\)
\(24\) −4.49054 2.51441i −0.916627 0.513252i
\(25\) 9.22735 + 3.35848i 1.84547 + 0.671696i
\(26\) 0.870616 0.502651i 0.170742 0.0985779i
\(27\) −0.205086 5.19210i −0.0394688 0.999221i
\(28\) −0.757727 + 0.635808i −0.143197 + 0.120156i
\(29\) −3.32571 + 2.79060i −0.617568 + 0.518201i −0.897038 0.441953i \(-0.854286\pi\)
0.279470 + 0.960155i \(0.409841\pi\)
\(30\) 4.91692 4.23729i 0.897703 0.773619i
\(31\) 4.26794 2.46410i 0.766544 0.442565i −0.0650961 0.997879i \(-0.520735\pi\)
0.831641 + 0.555314i \(0.187402\pi\)
\(32\) 4.86370 + 1.77024i 0.859788 + 0.312937i
\(33\) 3.36843 6.01574i 0.586368 1.04721i
\(34\) −1.19975 + 0.211549i −0.205756 + 0.0362803i
\(35\) −1.23755 3.40014i −0.209184 0.574729i
\(36\) 0.629853 + 3.09362i 0.104975 + 0.515603i
\(37\) 1.10257i 0.181261i 0.995885 + 0.0906304i \(0.0288882\pi\)
−0.995885 + 0.0906304i \(0.971112\pi\)
\(38\) 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 \(-0.665539\pi\)
0.177135 + 0.984187i \(0.443317\pi\)
\(42\) −1.56421 0.254637i −0.241363 0.0392913i
\(43\) −1.00316 + 5.68919i −0.152980 + 0.867593i 0.807629 + 0.589691i \(0.200750\pi\)
−0.960609 + 0.277903i \(0.910361\pi\)
\(44\) −1.43273 + 3.93640i −0.215992 + 0.593434i
\(45\) −11.4222 1.70544i −1.70273 0.254231i
\(46\) −0.409126 0.236209i −0.0603224 0.0348271i
\(47\) 4.96510 + 5.91718i 0.724235 + 0.863110i 0.995035 0.0995260i \(-0.0317326\pi\)
−0.270800 + 0.962636i \(0.587288\pi\)
\(48\) 0.483531 + 1.27599i 0.0697917 + 0.184173i
\(49\) 3.05827 5.29708i 0.436896 0.756725i
\(50\) −4.77950 8.27834i −0.675924 1.17073i
\(51\) 1.67867 + 1.37134i 0.235061 + 0.192025i
\(52\) 1.07026 + 0.188716i 0.148419 + 0.0261703i
\(53\) −1.34079 7.60399i −0.184172 1.04449i −0.927015 0.375024i \(-0.877635\pi\)
0.742844 0.669465i \(-0.233477\pi\)
\(54\) −3.09593 + 4.00018i −0.421303 + 0.544356i
\(55\) −11.7387 9.84993i −1.58284 1.32816i
\(56\) 2.79287 0.373213
\(57\) 1.79342 7.33373i 0.237544 0.971377i
\(58\) 4.22621 0.554929
\(59\) 5.26126 + 4.41472i 0.684958 + 0.574748i 0.917450 0.397850i \(-0.130244\pi\)
−0.232493 + 0.972598i \(0.574688\pi\)
\(60\) 7.01625 0.0923371i 0.905794 0.0119207i
\(61\) 0.740173 + 4.19773i 0.0947695 + 0.537464i 0.994818 + 0.101674i \(0.0324199\pi\)
−0.900048 + 0.435790i \(0.856469\pi\)
\(62\) −4.72455 0.833066i −0.600018 0.105799i
\(63\) 1.47367 + 2.40405i 0.185664 + 0.302882i
\(64\) −3.30707 5.72801i −0.413384 0.716001i
\(65\) −1.98775 + 3.44289i −0.246550 + 0.427038i
\(66\) −6.27615 + 2.37832i −0.772541 + 0.292751i
\(67\) 0.918596 + 1.09474i 0.112224 + 0.133744i 0.819232 0.573462i \(-0.194400\pi\)
−0.707008 + 0.707206i \(0.749955\pi\)
\(68\) −1.14055 0.658497i −0.138312 0.0798545i
\(69\) 0.156841 + 0.825793i 0.0188815 + 0.0994137i
\(70\) −1.20471 + 3.30993i −0.143991 + 0.395612i
\(71\) −0.438181 + 2.48505i −0.0520026 + 0.294921i −0.999706 0.0242299i \(-0.992287\pi\)
0.947704 + 0.319151i \(0.103398\pi\)
\(72\) 4.25236 7.83448i 0.501145 0.923302i
\(73\) 8.28206 3.01442i 0.969342 0.352812i 0.191654 0.981462i \(-0.438615\pi\)
0.777688 + 0.628651i \(0.216393\pi\)
\(74\) 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
\(78\) 0.890385 + 1.49636i 0.100816 + 0.169430i
\(79\) −1.50043 4.12240i −0.168812 0.463806i 0.826222 0.563345i \(-0.190486\pi\)
−0.995034 + 0.0995383i \(0.968263\pi\)
\(80\) 2.98671 0.526637i 0.333924 0.0588798i
\(81\) 8.98753 0.473530i 0.998615 0.0526145i
\(82\) 1.99336 + 0.725523i 0.220130 + 0.0801206i
\(83\) 3.66720 2.11726i 0.402527 0.232399i −0.285047 0.958514i \(-0.592009\pi\)
0.687574 + 0.726114i \(0.258676\pi\)
\(84\) −1.11843 1.29782i −0.122030 0.141603i
\(85\) 3.69054 3.09673i 0.400296 0.335888i
\(86\) 4.30799 3.61483i 0.464542 0.389797i
\(87\) −4.90884 5.69619i −0.526283 0.610696i
\(88\) 10.2432 5.91392i 1.09193 0.630426i
\(89\) −7.56260 2.75256i −0.801634 0.291771i −0.0914708 0.995808i \(-0.529157\pi\)
−0.710164 + 0.704037i \(0.751379\pi\)
\(90\) 7.45063 + 8.41904i 0.785366 + 0.887445i
\(91\) 0.955916 0.168554i 0.100207 0.0176692i
\(92\) −0.174671 0.479906i −0.0182108 0.0500336i
\(93\) 4.36485 + 7.33548i 0.452614 + 0.760654i
\(94\) 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 −0.992766 0.120064i \(-0.961690\pi\)
0.290632 + 0.956835i \(0.406134\pi\)
\(98\) −5.59517 + 2.03647i −0.565197 + 0.205715i
\(99\) 10.4954 + 5.69667i 1.05483 + 0.572537i
\(100\) 1.79443 10.1767i 0.179443 1.01767i
\(101\) 5.98720 16.4497i 0.595749 1.63681i −0.163904 0.986476i \(-0.552409\pi\)
0.759652 0.650329i \(-0.225369\pi\)
\(102\) −0.393727 2.07303i −0.0389848 0.205261i
\(103\) −1.32095 0.762653i −0.130157 0.0751464i 0.433508 0.901150i \(-0.357276\pi\)
−0.563665 + 0.826004i \(0.690609\pi\)
\(104\) −1.97242 2.35064i −0.193412 0.230499i
\(105\) 5.86050 2.22081i 0.571926 0.216729i
\(106\) −3.75822 + 6.50942i −0.365030 + 0.632251i
\(107\) 5.43705 + 9.41724i 0.525619 + 0.910399i 0.999555 + 0.0298397i \(0.00949967\pi\)
−0.473935 + 0.880560i \(0.657167\pi\)
\(108\) −5.34348 + 1.16135i −0.514177 + 0.111751i
\(109\) −13.5446 2.38827i −1.29733 0.228755i −0.518008 0.855376i \(-0.673326\pi\)
−0.779324 + 0.626621i \(0.784438\pi\)
\(110\) 2.59034 + 14.6906i 0.246980 + 1.40069i
\(111\) −1.90954 + 0.0251304i −0.181245 + 0.00238527i
\(112\) −0.567246 0.475976i −0.0535997 0.0449755i
\(113\) 9.69889 0.912395 0.456198 0.889879i \(-0.349211\pi\)
0.456198 + 0.889879i \(0.349211\pi\)
\(114\) −5.92634 + 4.34671i −0.555053 + 0.407107i
\(115\) 1.86820 0.174210
\(116\) 3.49985 + 2.93672i 0.324953 + 0.272668i
\(117\) 0.982633 2.93814i 0.0908445 0.271631i
\(118\) −1.16099 6.58429i −0.106878 0.606133i
\(119\) −1.15841 0.204260i −0.106192 0.0187245i
\(120\) −15.3434 12.5343i −1.40065 1.14422i
\(121\) 2.42258 + 4.19603i 0.220234 + 0.381457i
\(122\) 2.07470 3.59348i 0.187834 0.325338i
\(123\) −1.33745 3.52941i −0.120594 0.318236i
\(124\) −3.33365 3.97289i −0.299371 0.356776i
\(125\) 16.0677 + 9.27670i 1.43714 + 0.829733i
\(126\) 0.405353 2.71487i 0.0361117 0.241860i
\(127\) −3.25642 + 8.94695i −0.288961 + 0.793913i 0.707252 + 0.706962i \(0.249935\pi\)
−0.996213 + 0.0869515i \(0.972287\pi\)
\(128\) 0.679490 3.85358i 0.0600590 0.340612i
\(129\) −9.87598 1.60770i −0.869531 0.141550i
\(130\) 3.63663 1.32363i 0.318954 0.116090i
\(131\) −10.7966 + 12.8668i −0.943299 + 1.12418i 0.0488102 + 0.998808i \(0.484457\pi\)
−0.992110 + 0.125372i \(0.959987\pi\)
\(132\) −6.85010 2.39163i −0.596225 0.208164i
\(133\) 1.09519 + 3.94795i 0.0949650 + 0.342331i
\(134\) 1.39116i 0.120178i
\(135\) 2.69330 19.8210i 0.231803 1.70592i
\(136\) 1.27183 + 3.49432i 0.109058 + 0.299635i
\(137\) −21.0716 + 3.71550i −1.80027 + 0.317436i −0.970579 0.240784i \(-0.922595\pi\)
−0.829693 + 0.558221i \(0.811484\pi\)
\(138\) 0.399766 0.713950i 0.0340303 0.0607755i
\(139\) 6.64113 + 2.41718i 0.563294 + 0.205022i 0.607943 0.793981i \(-0.291995\pi\)
−0.0446494 + 0.999003i \(0.514217\pi\)
\(140\) −3.29767 + 1.90391i −0.278704 + 0.160910i
\(141\) −10.1348 + 8.73394i −0.853504 + 0.735530i
\(142\) 1.88174 1.57897i 0.157912 0.132504i
\(143\) 3.14903 2.64235i 0.263335 0.220964i
\(144\) −2.19887 + 0.866511i −0.183239 + 0.0722092i
\(145\) −14.4737 + 8.35637i −1.20197 + 0.693959i
\(146\) −8.06232 2.93444i −0.667242 0.242856i
\(147\) 9.24372 + 5.17589i 0.762409 + 0.426900i
\(148\) 1.14267 0.201484i 0.0939269 0.0165619i
\(149\) 2.02439 + 5.56197i 0.165845 + 0.455655i 0.994579 0.103988i \(-0.0331605\pi\)
−0.828734 + 0.559643i \(0.810938\pi\)
\(150\) 14.2283 8.46631i 1.16174 0.691271i
\(151\) 16.2196i 1.31993i −0.751297 0.659964i \(-0.770571\pi\)
0.751297 0.659964i \(-0.229429\pi\)
\(152\) 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
\(156\) −0.302444 + 1.85789i −0.0242149 + 0.148750i
\(157\) −3.95357 + 22.4218i −0.315529 + 1.78945i 0.253708 + 0.967281i \(0.418350\pi\)
−0.569237 + 0.822174i \(0.692761\pi\)
\(158\) −1.46062 + 4.01302i −0.116201 + 0.319259i
\(159\) 13.1388 2.49543i 1.04197 0.197900i
\(160\) 17.2555 + 9.96249i 1.36417 + 0.787604i
\(161\) −0.293202 0.349424i −0.0231075 0.0275385i
\(162\) −6.99848 5.27067i −0.549853 0.414103i
\(163\) −1.76026 + 3.04886i −0.137874 + 0.238805i −0.926692 0.375822i \(-0.877360\pi\)
0.788818 + 0.614627i \(0.210694\pi\)
\(164\) 1.14660 + 1.98597i 0.0895346 + 0.155079i
\(165\) 16.7915 20.5548i 1.30722 1.60019i
\(166\) −4.05954 0.715806i −0.315081 0.0555573i
\(167\) −1.25909 7.14068i −0.0974316 0.552562i −0.993975 0.109606i \(-0.965041\pi\)
0.896543 0.442956i \(-0.146070\pi\)
\(168\) 0.0636568 + 4.83698i 0.00491123 + 0.373181i
\(169\) 9.14161 + 7.67072i 0.703201 + 0.590056i
\(170\) −4.68984 −0.359694
\(171\) 12.7422 + 2.93886i 0.974419 + 0.224740i
\(172\) 6.07944 0.463553
\(173\) −11.9969 10.0666i −0.912110 0.765351i 0.0604095 0.998174i \(-0.480759\pi\)
−0.972519 + 0.232823i \(0.925204\pi\)
\(174\) 0.0963264 + 7.31938i 0.00730249 + 0.554881i
\(175\) −1.60271 9.08943i −0.121154 0.687096i
\(176\) −3.08833 0.544555i −0.232791 0.0410474i
\(177\) −7.52594 + 9.21260i −0.565684 + 0.692462i
\(178\) 3.91721 + 6.78481i 0.293607 + 0.508543i
\(179\) 6.47528 11.2155i 0.483985 0.838287i −0.515845 0.856682i \(-0.672522\pi\)
0.999831 + 0.0183944i \(0.00585546\pi\)
\(180\) 0.319837 + 12.1494i 0.0238393 + 0.905559i
\(181\) 2.54385 + 3.03164i 0.189083 + 0.225340i 0.852255 0.523127i \(-0.175235\pi\)
−0.663172 + 0.748467i \(0.730790\pi\)
\(182\) −0.818315 0.472454i −0.0606575 0.0350206i
\(183\) −7.25318 + 1.37758i −0.536171 + 0.101834i
\(184\) −0.493190 + 1.35503i −0.0363585 + 0.0998941i
\(185\) −0.737042 + 4.17997i −0.0541884 + 0.307318i
\(186\) 1.33510 8.20144i 0.0978944 0.601359i
\(187\) −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 \(-0.194936\pi\)
\(192\) 9.84497 5.85807i 0.710499 0.422770i
\(193\) −5.39307 14.8173i −0.388202 1.06657i −0.967810 0.251680i \(-0.919017\pi\)
0.579609 0.814895i \(-0.303205\pi\)
\(194\) 10.3136 1.81857i 0.740475 0.130566i
\(195\) −6.00805 3.36412i −0.430245 0.240909i
\(196\) −6.04862 2.20152i −0.432044 0.157251i
\(197\) −3.60442 + 2.08101i −0.256804 + 0.148266i −0.622876 0.782321i \(-0.714036\pi\)
0.366072 + 0.930587i \(0.380703\pi\)
\(198\) −4.26207 10.8155i −0.302892 0.768621i
\(199\) 17.0487 14.3056i 1.20855 1.01410i 0.209208 0.977871i \(-0.432912\pi\)
0.999344 0.0362239i \(-0.0115329\pi\)
\(200\) −22.3513 + 18.7550i −1.58047 + 1.32618i
\(201\) −1.87504 + 1.61587i −0.132255 + 0.113975i
\(202\) −14.7579 + 8.52047i −1.03836 + 0.599498i
\(203\) 3.83451 + 1.39565i 0.269130 + 0.0979552i
\(204\) 1.11446 1.99033i 0.0780275 0.139351i
\(205\) −8.26127 + 1.45669i −0.576992 + 0.101739i
\(206\) 0.507844 + 1.39529i 0.0353831 + 0.0972144i
\(207\) −1.42662 + 0.290455i −0.0991567 + 0.0201881i
\(208\) 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 −0.186760 0.982406i \(-0.559799\pi\)
0.999911 + 0.0133296i \(0.00424307\pi\)
\(212\) −7.63556 + 2.77912i −0.524412 + 0.190871i
\(213\) −4.31385 0.702246i −0.295580 0.0481171i
\(214\) 1.83817 10.4248i 0.125654 0.712622i
\(215\) −7.60621 + 20.8979i −0.518739 + 1.42522i
\(216\) 13.6655 + 7.18610i 0.929817 + 0.488952i
\(217\) −4.01155 2.31607i −0.272322 0.157225i
\(218\) 8.60601 + 10.2562i 0.582873 + 0.694641i
\(219\) 5.40945 + 14.2750i 0.365537 + 0.964615i
\(220\) −8.06307 + 13.9656i −0.543612 + 0.941564i
\(221\) 0.646195 + 1.11924i 0.0434678 + 0.0752884i
\(222\) 1.43970 + 1.17612i 0.0966265 + 0.0789359i
\(223\) −25.0726 4.42098i −1.67899 0.296051i −0.748708 0.662900i \(-0.769325\pi\)
−0.930280 + 0.366849i \(0.880436\pi\)
\(224\) −0.844782 4.79100i −0.0564444 0.320112i
\(225\) −27.9376 9.34347i −1.86251 0.622898i
\(226\) −7.23265 6.06892i −0.481109 0.403698i
\(227\) −8.03209 −0.533109 −0.266554 0.963820i \(-0.585885\pi\)
−0.266554 + 0.963820i \(0.585885\pi\)
\(228\) −7.92822 0.518477i −0.525059 0.0343370i
\(229\) −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
\(231\) −6.47985 + 0.0852778i −0.426343 + 0.00561087i
\(232\) −2.24005 12.7040i −0.147066 0.834055i
\(233\) −4.41323 0.778172i −0.289120 0.0509797i 0.0272070 0.999630i \(-0.491339\pi\)
−0.316327 + 0.948650i \(0.602450\pi\)
\(234\) −2.57126 + 1.57616i −0.168089 + 0.103037i
\(235\) 14.8679 + 25.7519i 0.969872 + 1.67987i
\(236\) 3.61385 6.25938i 0.235242 0.407451i
\(237\) 7.10539 2.69256i 0.461545 0.174900i
\(238\) 0.736040 + 0.877179i 0.0477104 + 0.0568590i
\(239\) −6.74189 3.89243i −0.436096 0.251780i 0.265844 0.964016i \(-0.414349\pi\)
−0.701940 + 0.712236i \(0.747683\pi\)
\(240\) 0.980157 + 5.16067i 0.0632689 + 0.333120i
\(241\) 5.91131 16.2412i 0.380781 1.04619i −0.590247 0.807222i \(-0.700970\pi\)
0.971028 0.238964i \(-0.0768079\pi\)
\(242\) 0.819029 4.64495i 0.0526492 0.298588i
\(243\) 1.02496 + 15.5547i 0.0657510 + 0.997836i
\(244\) 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
\(249\) 3.75047 + 6.30297i 0.237676 + 0.399434i
\(250\) −6.17727 16.9719i −0.390685 1.07340i
\(251\) 8.62554 1.52092i 0.544439 0.0959994i 0.105337 0.994437i \(-0.466408\pi\)
0.439102 + 0.898437i \(0.355297\pi\)
\(252\) 2.22220 1.96659i 0.139985 0.123883i
\(253\) −1.81526 0.660702i −0.114125 0.0415380i
\(254\) 8.02678 4.63426i 0.503645 0.290779i
\(255\) 5.44735 + 6.32107i 0.341126 + 0.395841i
\(256\) −13.0515 + 10.9515i −0.815717 + 0.684468i
\(257\) 18.4633 15.4925i 1.15171 0.966398i 0.151950 0.988388i \(-0.451445\pi\)
0.999758 + 0.0219902i \(0.00700027\pi\)
\(258\) 6.35872 + 7.37862i 0.395876 + 0.459373i
\(259\) 0.897489 0.518165i 0.0557672 0.0321972i
\(260\) 3.93136 + 1.43090i 0.243813 + 0.0887405i
\(261\) 9.75335 8.63146i 0.603717 0.534274i
\(262\) 16.1024 2.83929i 0.994810 0.175412i
\(263\) 4.76306 + 13.0864i 0.293703 + 0.806941i 0.995517 + 0.0945816i \(0.0301513\pi\)
−0.701814 + 0.712360i \(0.747626\pi\)
\(264\) 10.4758 + 17.6054i 0.644741 + 1.08354i
\(265\) 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 \(-0.828143\pi\)
−0.326652 + 0.945145i \(0.605920\pi\)
\(270\) −14.4111 + 13.0956i −0.877033 + 0.796976i
\(271\) 0.727540 4.12608i 0.0441949 0.250642i −0.954704 0.297557i \(-0.903828\pi\)
0.998899 + 0.0469156i \(0.0149392\pi\)
\(272\) 0.337205 0.926463i 0.0204461 0.0561751i
\(273\) 0.313706 + 1.65171i 0.0189864 + 0.0999661i
\(274\) 18.0384 + 10.4145i 1.08974 + 0.629163i
\(275\) −25.1251 29.9429i −1.51510 1.80562i
\(276\) 0.827168 0.313452i 0.0497897 0.0188676i
\(277\) −2.59286 + 4.49097i −0.155790 + 0.269836i −0.933346 0.358977i \(-0.883126\pi\)
0.777556 + 0.628813i \(0.216459\pi\)
\(278\) −3.43992 5.95811i −0.206312 0.357344i
\(279\) −12.6048 + 7.72668i −0.754632 + 0.462584i
\(280\) 10.5881 + 1.86698i 0.632763 + 0.111573i
\(281\) 3.26188 + 18.4991i 0.194588 + 1.10356i 0.913005 + 0.407949i \(0.133756\pi\)
−0.718417 + 0.695613i \(0.755133\pi\)
\(282\) 13.0228 0.171386i 0.775498 0.0102059i
\(283\) −8.43214 7.07541i −0.501239 0.420589i 0.356795 0.934183i \(-0.383870\pi\)
−0.858034 + 0.513593i \(0.828314\pi\)
\(284\) 2.65551 0.157576
\(285\) 11.7015 26.6043i 0.693138 1.57590i
\(286\) −4.00170 −0.236625
\(287\) 1.56901 + 1.31656i 0.0926158 + 0.0777138i
\(288\) −14.7258 4.92490i −0.867726 0.290202i
\(289\) 2.68006 + 15.1994i 0.157650 + 0.894080i
\(290\) 16.0221 + 2.82513i 0.940852 + 0.165898i
\(291\) −14.4306 11.7886i −0.845938 0.691062i
\(292\) −4.63754 8.03245i −0.271391 0.470064i
\(293\) −11.4509 + 19.8336i −0.668970 + 1.15869i 0.309222 + 0.950990i \(0.399931\pi\)
−0.978192 + 0.207701i \(0.933402\pi\)
\(294\) −3.65450 9.64386i −0.213135 0.562441i
\(295\) 16.9950 + 20.2538i 0.989486 + 1.17922i
\(296\) −2.83722 1.63807i −0.164910 0.0952108i
\(297\) −9.62684 + 18.3069i −0.558606 + 1.06227i
\(298\) 1.97068 5.41440i 0.114158 0.313648i
\(299\) −0.0870263 + 0.493551i −0.00503286 + 0.0285428i
\(300\) 17.6660 + 2.87582i 1.01994 + 0.166036i
\(301\) 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
\(306\) 3.58131 0.729146i 0.204730 0.0416825i
\(307\) 7.35296 + 20.2021i 0.419655 + 1.15299i 0.951902 + 0.306404i \(0.0991259\pi\)
−0.532246 + 0.846590i \(0.678652\pi\)
\(308\) 3.87756 0.683718i 0.220944 0.0389584i
\(309\) 1.29073 2.30514i 0.0734271 0.131135i
\(310\) −17.3545 6.31652i −0.985670 0.358754i
\(311\) −6.19121 + 3.57450i −0.351071 + 0.202691i −0.665157 0.746704i \(-0.731635\pi\)
0.314086 + 0.949395i \(0.398302\pi\)
\(312\) 4.02612 3.46961i 0.227934 0.196428i
\(313\) 3.43872 2.88543i 0.194368 0.163094i −0.540410 0.841402i \(-0.681731\pi\)
0.734778 + 0.678308i \(0.237286\pi\)
\(314\) 16.9783 14.2465i 0.958141 0.803976i
\(315\) 3.97980 + 10.0992i 0.224236 + 0.569025i
\(316\) −3.99816 + 2.30834i −0.224914 + 0.129854i
\(317\) 10.4058 + 3.78740i 0.584448 + 0.212722i 0.617286 0.786739i \(-0.288232\pi\)
−0.0328380 + 0.999461i \(0.510455\pi\)
\(318\) −11.3593 6.36049i −0.637000 0.356679i
\(319\) 17.0188 3.00088i 0.952872 0.168017i
\(320\) −8.70848 23.9263i −0.486819 1.33752i
\(321\) −16.1858 + 9.63107i −0.903404 + 0.537554i
\(322\) 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
\(327\) 3.82753 23.5123i 0.211663 1.30023i
\(328\) 1.12436 6.37657i 0.0620824 0.352087i
\(329\) 2.48317 6.82245i 0.136902 0.376134i
\(330\) −25.3836 + 4.82105i −1.39732 + 0.265390i
\(331\) −17.4647 10.0833i −0.959948 0.554226i −0.0637910 0.997963i \(-0.520319\pi\)
−0.896157 + 0.443737i \(0.853652\pi\)
\(332\) −2.86442 3.41368i −0.157205 0.187350i
\(333\) −0.0870466 3.30655i −0.00477012 0.181198i
\(334\) −3.52923 + 6.11280i −0.193111 + 0.334477i
\(335\) 2.75071 + 4.76436i 0.150287 + 0.260305i
\(336\) 0.811414 0.993262i 0.0442662 0.0541869i
\(337\) 7.33303 + 1.29301i 0.399455 + 0.0704348i 0.369767 0.929124i \(-0.379437\pi\)
0.0296882 + 0.999559i \(0.490549\pi\)
\(338\) −2.01725 11.4404i −0.109724 0.622276i
\(339\) 0.221063 + 16.7975i 0.0120065 + 0.912316i
\(340\) −3.88378 3.25888i −0.210628 0.176738i
\(341\) −19.6171 −1.06233
\(342\) −7.66315 10.1648i −0.414375 0.549648i
\(343\) −12.3286 −0.665681
\(344\) −13.1495 11.0338i −0.708975 0.594901i
\(345\) 0.0425811 + 3.23553i 0.00229249 + 0.174195i
\(346\) 2.64733 + 15.0137i 0.142321 + 0.807144i
\(347\) 20.4261 + 3.60168i 1.09653 + 0.193348i 0.692516 0.721403i \(-0.256502\pi\)
0.404017 + 0.914751i \(0.367613\pi\)
\(348\) −5.00634 + 6.12832i −0.268368 + 0.328513i
\(349\) −3.98587 6.90373i −0.213359 0.369548i 0.739405 0.673261i \(-0.235107\pi\)
−0.952764 + 0.303713i \(0.901774\pi\)
\(350\) −4.49238 + 7.78103i −0.240128 + 0.415914i
\(351\) 5.11097 + 1.63486i 0.272803 + 0.0872621i
\(352\) −13.2433 15.7828i −0.705871 0.841224i
\(353\) −20.0695 11.5871i −1.06819 0.616721i −0.140505 0.990080i \(-0.544873\pi\)
−0.927687 + 0.373359i \(0.878206\pi\)
\(354\) 11.3769 2.16079i 0.604674 0.114845i
\(355\) −3.32241 + 9.12824i −0.176335 + 0.484477i
\(356\) −1.47069 + 8.34069i −0.0779463 + 0.442055i
\(357\) 0.327354 2.01092i 0.0173254 0.106429i
\(358\) −11.8467 + 4.31183i −0.626116 + 0.227887i
\(359\) 4.97359 5.92729i 0.262496 0.312831i −0.618658 0.785661i \(-0.712323\pi\)
0.881154 + 0.472830i \(0.156768\pi\)
\(360\) 21.3584 26.8589i 1.12569 1.41559i
\(361\) 16.6192 + 9.20883i 0.874694 + 0.484675i
\(362\) 3.85252i 0.202484i
\(363\) −7.21189 + 4.29130i −0.378526 + 0.225235i
\(364\) −0.349369 0.959885i −0.0183119 0.0503116i
\(365\) 33.4135 5.89170i 1.74894 0.308385i
\(366\) 6.27084 + 3.51126i 0.327782 + 0.183537i
\(367\) −8.07339 2.93847i −0.421427 0.153387i 0.122597 0.992457i \(-0.460878\pi\)
−0.544024 + 0.839070i \(0.683100\pi\)
\(368\) 0.331100 0.191161i 0.0172598 0.00996495i
\(369\) 6.08210 2.39678i 0.316621 0.124771i
\(370\) 3.16517 2.65590i 0.164550 0.138073i
\(371\) −5.55953 + 4.66500i −0.288636 + 0.242195i
\(372\) 6.80467 5.86410i 0.352805 0.304040i
\(373\) 12.7094 7.33779i 0.658069 0.379936i −0.133472 0.991053i \(-0.542613\pi\)
0.791541 + 0.611116i \(0.209279\pi\)
\(374\) 4.55695 + 1.65859i 0.235634 + 0.0857639i
\(375\) −15.7001 + 28.0391i −0.810749 + 1.44793i
\(376\) −22.6032 + 3.98555i −1.16567 + 0.205539i
\(377\) −1.53340 4.21299i −0.0789743 0.216980i
\(378\) 4.71112 + 0.640152i 0.242314 + 0.0329259i
\(379\) 24.4001i 1.25335i 0.779282 + 0.626674i \(0.215584\pi\)
−0.779282 + 0.626674i \(0.784416\pi\)
\(380\) −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 \(-0.617906\pi\)
0.321883 + 0.946779i \(0.395684\pi\)
\(384\) 6.68951 + 1.08898i 0.341372 + 0.0555716i
\(385\) −2.50109 + 14.1844i −0.127467 + 0.722904i
\(386\) −5.24998 + 14.4242i −0.267217 + 0.734172i
\(387\) 2.55927 17.1409i 0.130095 0.871319i
\(388\) 9.80469 + 5.66074i 0.497758 + 0.287381i
\(389\) −2.71775 3.23889i −0.137795 0.164218i 0.692734 0.721194i \(-0.256406\pi\)
−0.830529 + 0.556975i \(0.811962\pi\)
\(390\) 2.37528 + 6.26812i 0.120277 + 0.317398i
\(391\) 0.303665 0.525963i 0.0153570 0.0265991i
\(392\) 9.08726 + 15.7396i 0.458976 + 0.794970i
\(393\) −22.5302 18.4053i −1.13650 0.928424i
\(394\) 3.99005 + 0.703553i 0.201016 + 0.0354445i
\(395\) −2.93259 16.6316i −0.147555 0.836825i
\(396\) 3.98593 11.9182i 0.200301 0.598913i
\(397\) 19.0110 + 15.9522i 0.954137 + 0.800616i 0.979989 0.199050i \(-0.0637857\pi\)
−0.0258527 + 0.999666i \(0.508230\pi\)
\(398\) −21.6650 −1.08597
\(399\) −6.81250 + 1.98674i −0.341051 + 0.0994616i
\(400\) 7.73597 0.386799
\(401\) 18.0223 + 15.1225i 0.899990 + 0.755181i 0.970188 0.242352i \(-0.0779189\pi\)
−0.0701986 + 0.997533i \(0.522363\pi\)
\(402\) 2.40936 0.0317082i 0.120168 0.00158146i
\(403\) 0.883756 + 5.01203i 0.0440230 + 0.249667i
\(404\) −18.1421 3.19895i −0.902605 0.159154i
\(405\) 34.3895 + 4.21276i 1.70883 + 0.209334i
\(406\) −1.98616 3.44014i −0.0985717 0.170731i
\(407\) 2.19444 3.80087i 0.108774 0.188402i
\(408\) −6.02282 + 2.28232i −0.298174 + 0.112992i
\(409\) −3.18484 3.79554i −0.157480 0.187677i 0.681535 0.731785i \(-0.261313\pi\)
−0.839015 + 0.544108i \(0.816868\pi\)
\(410\) 7.07209 + 4.08307i 0.349266 + 0.201649i
\(411\) −6.91515 36.4093i −0.341099 1.79594i
\(412\) −0.549001 + 1.50837i −0.0270474 + 0.0743120i
\(413\) 1.12098 6.35742i 0.0551601 0.312828i
\(414\) 1.24560 + 0.676082i 0.0612180 + 0.0332276i
\(415\) 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 \(0.877872\pi\)
\(420\) −3.37254 5.66783i −0.164563 0.276562i
\(421\) −2.52944 6.94957i −0.123277 0.338701i 0.862668 0.505771i \(-0.168792\pi\)
−0.985945 + 0.167069i \(0.946570\pi\)
\(422\) −17.6164 + 3.10625i −0.857555 + 0.151210i
\(423\) −15.3573 17.3534i −0.746698 0.843751i
\(424\) 21.5592 + 7.84692i 1.04701 + 0.381080i
\(425\) 10.6424 6.14441i 0.516234 0.298048i
\(426\) 2.77750 + 3.22299i 0.134570 + 0.156155i
\(427\) 3.06910 2.57528i 0.148524 0.124627i
\(428\) 8.76621 7.35572i 0.423731 0.355552i
\(429\) 4.64806 + 5.39358i 0.224411 + 0.260405i
\(430\) 18.7486 10.8245i 0.904137 0.522004i
\(431\) 21.0743 + 7.67041i 1.01511 + 0.369471i 0.795394 0.606093i \(-0.207264\pi\)
0.219719 + 0.975563i \(0.429486\pi\)
\(432\) −1.55083 3.78847i −0.0746143 0.182273i
\(433\) 4.97197 0.876693i 0.238938 0.0421312i −0.0528968 0.998600i \(-0.516845\pi\)
0.291835 + 0.956469i \(0.405734\pi\)
\(434\) 1.54225 + 4.23729i 0.0740303 + 0.203397i
\(435\) −14.8023 24.8765i −0.709716 1.19274i
\(436\) 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 −0.573440 0.819248i \(-0.694391\pi\)
0.906378 + 0.422467i \(0.138836\pi\)
\(440\) 42.7867 15.5731i 2.03978 0.742418i
\(441\) −8.75343 + 16.1272i −0.416830 + 0.767961i
\(442\) 0.218467 1.23899i 0.0103914 0.0589326i
\(443\) −0.466572 + 1.28190i −0.0221675 + 0.0609047i −0.950283 0.311388i \(-0.899206\pi\)
0.928115 + 0.372293i \(0.121428\pi\)
\(444\) 0.374994 + 1.97440i 0.0177964 + 0.0937008i
\(445\) −26.8308 15.4908i −1.27190 0.734333i
\(446\) 15.9308 + 18.9856i 0.754345 + 0.898993i
\(447\) −9.58664 + 3.63282i −0.453433 + 0.171826i
\(448\) −3.10840 + 5.38391i −0.146858 + 0.254366i
\(449\) −12.5605 21.7554i −0.592767 1.02670i −0.993858 0.110664i \(-0.964702\pi\)
0.401091 0.916038i \(-0.368631\pi\)
\(450\) 14.9871 + 24.4491i 0.706499 + 1.15254i
\(451\) 8.54236 + 1.50625i 0.402244 + 0.0709265i
\(452\) −1.77238 10.0517i −0.0833658 0.472791i
\(453\) 28.0907 0.369686i 1.31981 0.0173694i
\(454\) 5.98969 + 5.02594i 0.281110 + 0.235879i
\(455\) 3.73668 0.175178
\(456\) 16.2073 + 15.5106i 0.758978 + 0.726351i
\(457\) 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
\(459\) −5.14253 3.98005i −0.240033 0.185773i
\(460\) −0.341396 1.93615i −0.0159177 0.0902735i
\(461\) −24.2759 4.28049i −1.13064 0.199362i −0.423132 0.906068i \(-0.639069\pi\)
−0.707508 + 0.706706i \(0.750181\pi\)
\(462\) 4.88551 + 3.99106i 0.227295 + 0.185681i
\(463\) −2.54672 4.41106i −0.118356 0.204999i 0.800760 0.598985i \(-0.204429\pi\)
−0.919116 + 0.393986i \(0.871096\pi\)
\(464\) −1.71011 + 2.96199i −0.0793898 + 0.137507i
\(465\) 11.6441 + 30.7276i 0.539982 + 1.42496i
\(466\) 2.80410 + 3.34180i 0.129898 + 0.154806i
\(467\) 2.55047 + 1.47252i 0.118022 + 0.0681399i 0.557849 0.829943i \(-0.311627\pi\)
−0.439827 + 0.898083i \(0.644960\pi\)
\(468\) −3.22458 0.481457i −0.149056 0.0222554i
\(469\) 0.459412 1.26222i 0.0212137 0.0582841i
\(470\) 5.02655 28.5070i 0.231857 1.31493i
\(471\) −38.9224 6.33614i −1.79345 0.291954i
\(472\) −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
\(477\) 4.62130 + 22.6982i 0.211595 + 1.03928i
\(478\) 2.59193 + 7.12128i 0.118552 + 0.325720i
\(479\) −37.3421 + 6.58442i −1.70620 + 0.300850i −0.939855 0.341574i \(-0.889040\pi\)
−0.766350 + 0.642424i \(0.777929\pi\)
\(480\) −16.8608 + 30.1120i −0.769585 + 1.37442i
\(481\) −1.06995 0.389432i −0.0487857 0.0177565i
\(482\) −14.5708 + 8.41247i −0.663683 + 0.383177i
\(483\) 0.598485 0.515761i 0.0272320 0.0234679i
\(484\) 3.90595 3.27748i 0.177543 0.148976i
\(485\) −31.7256 + 26.6209i −1.44059 + 1.20879i
\(486\) 8.96877 12.2408i 0.406832 0.555254i
\(487\) −20.3426 + 11.7448i −0.921810 + 0.532207i −0.884212 0.467086i \(-0.845304\pi\)
−0.0375979 + 0.999293i \(0.511971\pi\)
\(488\) −11.9016 4.33184i −0.538761 0.196093i
\(489\) −5.32044 2.97910i −0.240599 0.134720i
\(490\) −22.5734 + 3.98029i −1.01976 + 0.179811i
\(491\) 0.192209 + 0.528090i 0.00867427 + 0.0238324i 0.943954 0.330076i \(-0.107075\pi\)
−0.935280 + 0.353909i \(0.884852\pi\)
\(492\) −3.41338 + 2.03107i −0.153887 + 0.0915676i
\(493\) 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
\(498\) 1.14718 7.04703i 0.0514063 0.315785i
\(499\) 0.766881 4.34920i 0.0343303 0.194697i −0.962819 0.270146i \(-0.912928\pi\)
0.997150 + 0.0754493i \(0.0240391\pi\)
\(500\) 6.67790 18.3474i 0.298645 0.820520i
\(501\) 12.3383 2.34338i 0.551232 0.104695i
\(502\) −7.38392 4.26311i −0.329560 0.190272i
\(503\) 15.8601 + 18.9014i 0.707168 + 0.842770i 0.993317 0.115415i \(-0.0368199\pi\)
−0.286150 + 0.958185i \(0.592375\pi\)
\(504\) −8.37571 + 0.220495i −0.373084 + 0.00982161i
\(505\) 33.6945 58.3606i 1.49939 2.59701i
\(506\) 0.940254 + 1.62857i 0.0417994 + 0.0723987i
\(507\) −13.0766 + 16.0072i −0.580751 + 0.710905i
\(508\) 9.86746 + 1.73990i 0.437798 + 0.0771956i
\(509\) 4.61747 + 26.1870i 0.204666 + 1.16072i 0.897965 + 0.440067i \(0.145045\pi\)
−0.693299 + 0.720650i \(0.743844\pi\)
\(510\) −0.106894 8.12233i −0.00473333 0.359663i
\(511\) −6.34600 5.32493i −0.280731 0.235561i
\(512\) 8.75937 0.387113
\(513\) −4.79939 + 22.1352i −0.211898 + 0.977292i
\(514\) −23.4626 −1.03489
\(515\) −4.49809 3.77435i −0.198210 0.166318i
\(516\) 0.138566 + 10.5290i 0.00610004 + 0.463513i
\(517\) −5.33924 30.2803i −0.234819 1.33173i
\(518\) −0.993508 0.175182i −0.0436522 0.00769706i
\(519\) 17.1609 21.0069i 0.753282 0.922102i
\(520\) −5.90635 10.2301i −0.259011 0.448620i
\(521\) 22.0694 38.2253i 0.966878 1.67468i 0.262396 0.964960i \(-0.415487\pi\)
0.704482 0.709722i \(-0.251179\pi\)
\(522\) −12.6743 + 0.333656i −0.554737 + 0.0146037i
\(523\) −25.4961 30.3850i −1.11486 1.32864i −0.938877 0.344252i \(-0.888133\pi\)
−0.175987 0.984392i \(-0.556312\pi\)
\(524\) 15.3078 + 8.83797i 0.668725 + 0.386089i
\(525\) 15.7055 2.98291i 0.685442 0.130185i
\(526\) 4.63668 12.7392i 0.202169 0.555454i
\(527\) 1.07097 6.07376i 0.0466521 0.264577i
\(528\) 0.872725 5.36109i 0.0379805 0.233311i
\(529\) −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
\(534\) −11.6613 + 6.93886i −0.504635 + 0.300274i
\(535\) 14.3173 + 39.3366i 0.618992 + 1.70067i
\(536\) −4.18182 + 0.737368i −0.180627 + 0.0318495i
\(537\) 19.5718 + 10.9589i 0.844584 + 0.472912i
\(538\) 18.9103 + 6.88280i 0.815282 + 0.296738i
\(539\) −21.0855 + 12.1737i −0.908218 + 0.524360i
\(540\) −21.0342 + 0.830842i −0.905167 + 0.0357537i
\(541\) −27.6522 + 23.2029i −1.18886 + 0.997573i −0.188982 + 0.981980i \(0.560519\pi\)
−0.999878 + 0.0155921i \(0.995037\pi\)
\(542\) −3.12437 + 2.62165i −0.134203 + 0.112610i
\(543\) −5.19252 + 4.47480i −0.222833 + 0.192032i
\(544\) 5.60958 3.23869i 0.240509 0.138858i
\(545\) −49.7527 18.1085i −2.13117 0.775682i
\(546\) 0.799593 1.42801i 0.0342194 0.0611131i
\(547\) 19.9934 3.52537i 0.854855 0.150734i 0.270988 0.962583i \(-0.412650\pi\)
0.583868 + 0.811849i \(0.301539\pi\)
\(548\) 7.70129 + 21.1591i 0.328983 + 0.903872i
\(549\) −2.55116 12.5304i −0.108881 0.534784i
\(550\) 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
\(555\) −7.25610 1.18121i −0.308004 0.0501396i
\(556\) 1.29149 7.32441i 0.0547714 0.310624i
\(557\) 9.69201 26.6286i 0.410664 1.12829i −0.546175 0.837671i \(-0.683917\pi\)
0.956839 0.290619i \(-0.0938611\pi\)
\(558\) 14.2345 + 2.12533i 0.602595 + 0.0899725i
\(559\) −5.16659 2.98293i −0.218524 0.126165i
\(560\) −1.83232 2.18368i −0.0774298 0.0922772i
\(561\) −3.05751 8.06846i −0.129088 0.340651i
\(562\) 9.14302 15.8362i 0.385675 0.668009i
\(563\) 7.48478 + 12.9640i 0.315446 + 0.546368i 0.979532 0.201288i \(-0.0645126\pi\)
−0.664086 + 0.747656i \(0.731179\pi\)
\(564\) 10.9037 + 8.90740i 0.459127 + 0.375069i
\(565\) 36.7698 + 6.48350i 1.54692 + 0.272763i
\(566\) 1.86070 + 10.5525i 0.0782109 + 0.443556i
\(567\) −4.60926 7.09331i −0.193571 0.297891i
\(568\) −5.74374 4.81957i −0.241002 0.202225i
\(569\) 32.6749 1.36980 0.684901 0.728636i \(-0.259845\pi\)
0.684901 + 0.728636i \(0.259845\pi\)
\(570\) −25.3732 + 12.5173i −1.06277 + 0.524292i
\(571\) 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
\(573\) 27.5180 0.362149i 1.14958 0.0151290i
\(574\) −0.346229 1.96356i −0.0144513 0.0819575i
\(575\) 4.69297 + 0.827498i 0.195711 + 0.0345091i
\(576\) 10.3700 + 16.9170i 0.432083 + 0.704875i
\(577\) −13.5840 23.5283i −0.565511 0.979494i −0.997002 0.0773769i \(-0.975346\pi\)
0.431491 0.902117i \(-0.357988\pi\)
\(578\) 7.51217 13.0115i 0.312465 0.541205i
\(579\) 25.5392 9.67798i 1.06137 0.402203i
\(580\) 11.3052 + 13.4731i 0.469425 + 0.559438i
\(581\) −3.44690 1.99007i −0.143001 0.0825618i
\(582\) 3.38466 + 17.8207i 0.140299 + 0.738693i
\(583\) −10.5121 + 28.8818i −0.435367 + 1.19616i
\(584\) −4.54758 + 25.7906i −0.188180 + 1.06722i
\(585\) 5.68938 10.4820i 0.235227 0.433378i
\(586\) 20.9497 7.62507i 0.865424 0.314989i
\(587\) −11.5736 + 13.7929i −0.477695 + 0.569295i −0.950044 0.312117i \(-0.898962\pi\)
0.472349 + 0.881412i \(0.343406\pi\)
\(588\) 3.67495 10.5258i 0.151552 0.434076i
\(589\) −20.6998 + 5.74227i −0.852919 + 0.236606i
\(590\) 25.7380i 1.05962i
\(591\) −3.68626 6.19507i −0.151633 0.254831i
\(592\) 0.297084 + 0.816233i 0.0122101 + 0.0335470i
\(593\) 22.7215 4.00642i 0.933062 0.164524i 0.313604 0.949554i \(-0.398464\pi\)
0.619458 + 0.785030i \(0.287352\pi\)
\(594\) 18.6342 7.62799i 0.764569 0.312980i
\(595\) −4.25516 1.54875i −0.174445 0.0634926i
\(596\) 5.39434 3.11443i 0.220961 0.127572i
\(597\) 25.1644 + 29.2006i 1.02991 + 1.19510i
\(598\) 0.373728 0.313595i 0.0152829 0.0128239i
\(599\) 16.7485 14.0536i 0.684323 0.574216i −0.232943 0.972490i \(-0.574835\pi\)
0.917266 + 0.398275i \(0.130391\pi\)
\(600\) −32.9912 38.2827i −1.34686 1.56289i
\(601\) 34.1830 19.7356i 1.39435 0.805031i 0.400561 0.916270i \(-0.368815\pi\)
0.993794 + 0.111239i \(0.0354818\pi\)
\(602\) −4.96707 1.80786i −0.202443 0.0736830i
\(603\) −2.84126 3.21056i −0.115705 0.130744i
\(604\) −16.8095 + 2.96397i −0.683969 + 0.120602i
\(605\) 6.37936 + 17.5271i 0.259358 + 0.712580i
\(606\) −15.0930 25.3650i −0.613110 1.03038i
\(607\) 19.6240i 0.796513i 0.917274 + 0.398257i \(0.130385\pi\)
−0.917274 + 0.398257i \(0.869615\pi\)
\(608\) −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
\(612\) 3.47245 + 1.88476i 0.140366 + 0.0761870i
\(613\) −1.42980 + 8.10881i −0.0577492 + 0.327512i −0.999972 0.00747482i \(-0.997621\pi\)
0.942223 + 0.334987i \(0.108732\pi\)
\(614\) 7.15786 19.6661i 0.288868 0.793658i
\(615\) −2.71113 14.2745i −0.109323 0.575604i
\(616\) −9.62786 5.55865i −0.387918 0.223964i
\(617\) −19.4518 23.1818i −0.783102 0.933264i 0.215967 0.976401i \(-0.430710\pi\)
−0.999069 + 0.0431361i \(0.986265\pi\)
\(618\) −2.40493 + 0.911337i −0.0967404 + 0.0366594i
\(619\) −1.78524 + 3.09212i −0.0717547 + 0.124283i −0.899670 0.436570i \(-0.856193\pi\)
0.827916 + 0.560853i \(0.189527\pi\)
\(620\) −9.98251 17.2902i −0.400907 0.694392i
\(621\) −0.535556 2.46414i −0.0214911 0.0988824i
\(622\) 6.85358 + 1.20847i 0.274804 + 0.0484553i
\(623\) 1.31356 + 7.44956i 0.0526266 + 0.298460i
\(624\) −1.40903 + 0.0185435i −0.0564065 + 0.000742335i
\(625\) 17.1025 + 14.3507i 0.684100 + 0.574028i
\(626\) −4.36982 −0.174653
\(627\) −20.7788 + 21.7121i −0.829824 + 0.867099i
\(628\) 23.9598 0.956102
\(629\) 1.05701 + 0.886934i 0.0421456 + 0.0353644i
\(630\) 3.35158 10.0215i 0.133530 0.399264i
\(631\) 7.66474 + 43.4689i 0.305128 + 1.73047i 0.622900 + 0.782302i \(0.285954\pi\)
−0.317771 + 0.948167i \(0.602934\pi\)
\(632\) 12.8373 + 2.26356i 0.510640 + 0.0900396i
\(633\) 24.6486 + 20.1359i 0.979693 + 0.800329i
\(634\) −5.38990 9.33558i −0.214060 0.370763i
\(635\) −18.3264 + 31.7422i −0.727260 + 1.25965i
\(636\) −4.98719 13.1607i −0.197755 0.521855i
\(637\) 4.06021 + 4.83876i 0.160871 + 0.191719i
\(638\) −14.5690 8.41143i −0.576793 0.333012i
\(639\) 1.11790 7.48716i 0.0442233 0.296188i
\(640\) 5.15207 14.1552i 0.203654 0.559534i
\(641\) −6.23658 + 35.3694i −0.246330 + 1.39701i 0.571054 + 0.820913i \(0.306535\pi\)
−0.817384 + 0.576094i \(0.804576\pi\)
\(642\) 18.0965 + 2.94591i 0.714214 + 0.116266i
\(643\) −14.3616 + 5.22718i −0.566365 + 0.206140i −0.609303 0.792938i \(-0.708551\pi\)
0.0429378 + 0.999078i \(0.486328\pi\)
\(644\) −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 \(-0.108434\pi\)
\(648\) −12.1341 + 23.8310i −0.476674 + 0.936170i
\(649\) −9.35052 25.6903i −0.367040 1.00843i
\(650\) 9.72163 1.71419i 0.381314 0.0672359i
\(651\) 3.91977 7.00039i 0.153628 0.274367i
\(652\) 3.48143 + 1.26714i 0.136343 + 0.0496249i
\(653\) −4.58433 + 2.64676i −0.179399 + 0.103576i −0.587010 0.809580i \(-0.699695\pi\)
0.407611 + 0.913155i \(0.366362\pi\)
\(654\) −17.5667 + 15.1385i −0.686910 + 0.591963i
\(655\) −49.5324 + 41.5626i −1.93539 + 1.62399i
\(656\) −1.31509 + 1.10349i −0.0513457 + 0.0430841i
\(657\) −24.5996 + 9.69400i −0.959722 + 0.378199i
\(658\) −6.12078 + 3.53383i −0.238613 + 0.137763i
\(659\) 24.0269 + 8.74509i 0.935956 + 0.340660i 0.764568 0.644543i \(-0.222952\pi\)
0.171388 + 0.985204i \(0.445175\pi\)
\(660\) −24.3709 13.6461i −0.948636 0.531175i
\(661\) −23.7023 + 4.17936i −0.921913 + 0.162558i −0.614408 0.788988i \(-0.710605\pi\)
−0.307505 + 0.951546i \(0.599494\pi\)
\(662\) 6.71435 + 18.4475i 0.260961 + 0.716984i
\(663\) −1.92369 + 1.14466i −0.0747099 + 0.0444548i
\(664\) 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
\(669\) 7.08523 43.5241i 0.273931 1.68274i
\(670\) 0.929964 5.27409i 0.0359276 0.203756i
\(671\) 5.80314 15.9440i 0.224028 0.615511i
\(672\) 8.27827 1.57228i 0.319341 0.0606519i
\(673\) 26.8141 + 15.4811i 1.03361 + 0.596754i 0.918016 0.396543i \(-0.129790\pi\)
0.115591 + 0.993297i \(0.463124\pi\)
\(674\) −4.65930 5.55274i −0.179470 0.213883i
\(675\) 15.5452 48.5982i 0.598334 1.87054i
\(676\) 6.27919 10.8759i 0.241507 0.418303i
\(677\) −4.46701 7.73710i −0.171681 0.297361i 0.767326 0.641257i \(-0.221587\pi\)
−0.939008 + 0.343896i \(0.888253\pi\)
\(678\) 10.3459 12.6646i 0.397332 0.486380i
\(679\) 9.95826 + 1.75591i 0.382163 + 0.0673857i
\(680\) 2.48579 + 14.0976i 0.0953256 + 0.540618i
\(681\) −0.183072 13.9108i −0.00701535 0.533063i
\(682\) 14.6289 + 12.2751i 0.560169 + 0.470038i
\(683\) 44.5537 1.70480 0.852400 0.522890i \(-0.175146\pi\)
0.852400 + 0.522890i \(0.175146\pi\)
\(684\) 0.717246 13.7427i 0.0274246 0.525465i
\(685\) −82.3691 −3.14716
\(686\) 9.19366 + 7.71440i 0.351015 + 0.294537i
\(687\) −0.121816 9.25618i −0.00464755 0.353145i
\(688\) 0.790301 + 4.48202i 0.0301300 + 0.170875i
\(689\) 7.85265 + 1.38463i 0.299162 + 0.0527504i
\(690\) 1.99283 2.43944i 0.0758656 0.0928680i
\(691\) −1.53979 2.66699i −0.0585763 0.101457i 0.835250 0.549870i \(-0.185323\pi\)
−0.893827 + 0.448413i \(0.851989\pi\)
\(692\) −8.24045 + 14.2729i −0.313255 + 0.542573i
\(693\) −0.295385 11.2205i −0.0112208 0.426232i
\(694\) −12.9785 15.4672i −0.492656 0.587125i
\(695\) 23.5616 + 13.6033i 0.893742 + 0.516002i
\(696\) 21.9509 4.16910i 0.832048 0.158029i
\(697\) −0.932715 + 2.56261i −0.0353291 + 0.0970659i
\(698\) −1.34755 + 7.64234i −0.0510055 + 0.289267i
\(699\) 1.24713 7.66102i 0.0471707 0.289766i
\(700\) −9.12716 + 3.32201i −0.344974 + 0.125560i
\(701\) −10.2378 + 12.2010i −0.386677 + 0.460824i −0.923910 0.382610i \(-0.875025\pi\)
0.537233 + 0.843434i \(0.319470\pi\)
\(702\) −2.78836 4.41724i −0.105240 0.166718i
\(703\) 1.20296 4.65299i 0.0453706 0.175491i
\(704\) 26.3282i 0.992282i
\(705\) −44.2608 + 26.3366i −1.66696 + 0.991894i
\(706\) 7.71577 + 21.1989i 0.290387 + 0.797831i
\(707\) −16.2038 + 2.85717i −0.609407 + 0.107455i
\(708\) 10.9230 + 6.11617i 0.410511 + 0.229860i
\(709\) −22.5919 8.22277i −0.848456 0.308813i −0.119045 0.992889i \(-0.537983\pi\)
−0.729411 + 0.684076i \(0.760206\pi\)
\(710\) 8.18942 4.72816i 0.307343 0.177445i
\(711\) 4.82519 + 12.2445i 0.180959 + 0.459203i
\(712\) 18.3188 15.3713i 0.686526 0.576063i
\(713\) 1.83209 1.53731i 0.0686123 0.0575726i
\(714\) −1.50241 + 1.29474i −0.0562263 + 0.0484545i
\(715\) 13.7047 7.91244i 0.512529 0.295908i
\(716\) −12.8068 4.66128i −0.478611 0.174200i
\(717\) 6.58764 11.7650i 0.246020 0.439372i
\(718\) −7.41780 + 1.30796i −0.276830 + 0.0488126i
\(719\) −16.7833 46.1117i −0.625911 1.71968i −0.692034 0.721865i \(-0.743285\pi\)
0.0661225 0.997812i \(-0.478937\pi\)
\(720\) −8.91543 + 1.81516i −0.332259 + 0.0676470i
\(721\) 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
\(726\) 8.06325 + 1.31261i 0.299255 + 0.0487154i
\(727\) 4.87540 27.6498i 0.180819 1.02547i −0.750393 0.660993i \(-0.770135\pi\)
0.931211 0.364480i \(-0.118753\pi\)
\(728\) −0.986455 + 2.71026i −0.0365605 + 0.100449i
\(729\) −26.9159 + 2.12966i −0.996884 + 0.0788762i
\(730\) −28.6037 16.5144i −1.05867 0.611224i
\(731\) 4.64714 + 5.53824i 0.171881 + 0.204839i
\(732\) 2.75314 + 7.26527i 0.101759 + 0.268532i
\(733\) −0.671595 + 1.16324i −0.0248059 + 0.0429651i −0.878162 0.478364i \(-0.841230\pi\)
0.853356 + 0.521329i \(0.174563\pi\)
\(734\) 4.18178 + 7.24306i 0.154352 + 0.267346i
\(735\) 31.5842 + 25.8017i 1.16500 + 0.951710i
\(736\) 2.47365 + 0.436170i 0.0911798 + 0.0160775i
\(737\) −0.987815 5.60217i −0.0363866 0.206359i
\(738\) −6.03528 2.01844i −0.222162 0.0742999i
\(739\) −0.414289 0.347630i −0.0152399 0.0127878i 0.635136 0.772400i \(-0.280944\pi\)
−0.650376 + 0.759613i \(0.725389\pi\)
\(740\) 4.46670 0.164199
\(741\) 6.48337 + 4.33068i 0.238173 + 0.159091i
\(742\) 7.06489 0.259360
\(743\) −26.3387 22.1008i −0.966272 0.810799i 0.0156896 0.999877i \(-0.495006\pi\)
−0.981962 + 0.189078i \(0.939450\pi\)
\(744\) −25.3611 + 0.333763i −0.929783 + 0.0122364i
\(745\) 3.95668 + 22.4394i 0.144961 + 0.822117i
\(746\) −14.0692 2.48077i −0.515108 0.0908275i
\(747\) −10.8306 + 6.63910i −0.396272 + 0.242912i
\(748\) 2.62121 + 4.54007i 0.0958410 + 0.166001i
\(749\) 5.11042 8.85151i 0.186731 0.323427i
\(750\) 29.2529 11.0853i 1.06816 0.404776i
\(751\) 26.1379 + 31.1499i 0.953784 + 1.13668i 0.990523 + 0.137351i \(0.0438587\pi\)
−0.0367385 + 0.999325i \(0.511697\pi\)
\(752\) 5.27005 + 3.04267i 0.192179 + 0.110955i
\(753\) 2.83067 + 14.9039i 0.103155 + 0.543129i
\(754\) −1.49272 + 4.10121i −0.0543616 + 0.149357i
\(755\) 10.8424 61.4905i 0.394596 2.23787i
\(756\) 3.45658 + 3.80380i 0.125715 + 0.138343i
\(757\) 16.1453 5.87639i 0.586809 0.213581i −0.0315162 0.999503i \(-0.510034\pi\)
0.618325 + 0.785922i \(0.287811\pi\)
\(758\) 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 \(-0.191168\pi\)
\(762\) 8.20903 + 13.7960i 0.297382 + 0.499775i
\(763\) 4.42139 + 12.1477i 0.160065 + 0.439775i
\(764\) −16.4668 + 2.90355i −0.595749 + 0.105047i