Properties

Label 260.2.o.a.183.20
Level $260$
Weight $2$
Character 260.183
Analytic conductor $2.076$
Analytic rank $0$
Dimension $72$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 260 = 2^{2} \cdot 5 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 260.o (of order \(4\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.07611045255\)
Analytic rank: \(0\)
Dimension: \(72\)
Relative dimension: \(36\) over \(\Q(i)\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{4}]$

Embedding invariants

Embedding label 183.20
Character \(\chi\) \(=\) 260.183
Dual form 260.2.o.a.27.20

$q$-expansion

\(f(q)\) \(=\) \(q+(0.203483 + 1.39950i) q^{2} +(-0.0775283 + 0.0775283i) q^{3} +(-1.91719 + 0.569548i) q^{4} +(0.871245 - 2.05935i) q^{5} +(-0.124276 - 0.0927250i) q^{6} +(2.89635 + 2.89635i) q^{7} +(-1.18720 - 2.56721i) q^{8} +2.98798i q^{9} +O(q^{10})\) \(q+(0.203483 + 1.39950i) q^{2} +(-0.0775283 + 0.0775283i) q^{3} +(-1.91719 + 0.569548i) q^{4} +(0.871245 - 2.05935i) q^{5} +(-0.124276 - 0.0927250i) q^{6} +(2.89635 + 2.89635i) q^{7} +(-1.18720 - 2.56721i) q^{8} +2.98798i q^{9} +(3.05934 + 0.800263i) q^{10} +3.20102i q^{11} +(0.104480 - 0.192792i) q^{12} +(-0.707107 - 0.707107i) q^{13} +(-3.46408 + 4.64280i) q^{14} +(0.0921119 + 0.227204i) q^{15} +(3.35123 - 2.18386i) q^{16} +(-0.217815 + 0.217815i) q^{17} +(-4.18167 + 0.608002i) q^{18} +5.01907 q^{19} +(-0.497443 + 4.44438i) q^{20} -0.449098 q^{21} +(-4.47983 + 0.651354i) q^{22} +(-4.02311 + 4.02311i) q^{23} +(0.291073 + 0.106990i) q^{24} +(-3.48186 - 3.58840i) q^{25} +(0.845710 - 1.13348i) q^{26} +(-0.464238 - 0.464238i) q^{27} +(-7.20247 - 3.90325i) q^{28} -9.89914i q^{29} +(-0.299229 + 0.175143i) q^{30} -2.20528i q^{31} +(3.73823 + 4.24566i) q^{32} +(-0.248170 - 0.248170i) q^{33} +(-0.349153 - 0.260510i) q^{34} +(8.48804 - 3.44118i) q^{35} +(-1.70180 - 5.72852i) q^{36} +(0.278378 - 0.278378i) q^{37} +(1.02129 + 7.02418i) q^{38} +0.109642 q^{39} +(-6.32113 + 0.208186i) q^{40} +5.39487 q^{41} +(-0.0913838 - 0.628512i) q^{42} +(1.36242 - 1.36242i) q^{43} +(-1.82314 - 6.13697i) q^{44} +(6.15330 + 2.60326i) q^{45} +(-6.44897 - 4.81170i) q^{46} +(-4.21558 - 4.21558i) q^{47} +(-0.0905041 + 0.429126i) q^{48} +9.77772i q^{49} +(4.31346 - 5.60304i) q^{50} -0.0337736i q^{51} +(1.75839 + 0.952927i) q^{52} +(-0.797227 - 0.797227i) q^{53} +(0.555235 - 0.744164i) q^{54} +(6.59204 + 2.78888i) q^{55} +(3.99701 - 10.8741i) q^{56} +(-0.389120 + 0.389120i) q^{57} +(13.8538 - 2.01431i) q^{58} -9.66566 q^{59} +(-0.305999 - 0.383131i) q^{60} +10.8601 q^{61} +(3.08629 - 0.448738i) q^{62} +(-8.65424 + 8.65424i) q^{63} +(-5.18113 + 6.09556i) q^{64} +(-2.07225 + 0.840119i) q^{65} +(0.296815 - 0.397812i) q^{66} +(-3.68797 - 3.68797i) q^{67} +(0.293537 - 0.541649i) q^{68} -0.623810i q^{69} +(6.54309 + 11.1788i) q^{70} -11.8869i q^{71} +(7.67077 - 3.54732i) q^{72} +(0.326289 + 0.326289i) q^{73} +(0.446235 + 0.332945i) q^{74} +(0.548145 + 0.00825971i) q^{75} +(-9.62250 + 2.85860i) q^{76} +(-9.27130 + 9.27130i) q^{77} +(0.0223102 + 0.153443i) q^{78} +6.73412 q^{79} +(-1.57760 - 8.80404i) q^{80} -8.89195 q^{81} +(1.09776 + 7.55010i) q^{82} +(2.35855 - 2.35855i) q^{83} +(0.861007 - 0.255783i) q^{84} +(0.258788 + 0.638328i) q^{85} +(2.18393 + 1.62947i) q^{86} +(0.767463 + 0.767463i) q^{87} +(8.21770 - 3.80024i) q^{88} -16.4054i q^{89} +(-2.39117 + 9.14125i) q^{90} -4.09606i q^{91} +(5.42171 - 10.0044i) q^{92} +(0.170972 + 0.170972i) q^{93} +(5.04189 - 6.75749i) q^{94} +(4.37284 - 10.3360i) q^{95} +(-0.618977 - 0.0393405i) q^{96} +(-11.5449 + 11.5449i) q^{97} +(-13.6839 + 1.98960i) q^{98} -9.56459 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 72 q - 8 q^{6} - 12 q^{8}+O(q^{10}) \) Copy content Toggle raw display \( 72 q - 8 q^{6} - 12 q^{8} - 8 q^{10} - 8 q^{12} - 8 q^{16} + 28 q^{18} - 16 q^{21} - 8 q^{22} - 20 q^{28} - 32 q^{30} - 40 q^{32} + 16 q^{33} + 32 q^{36} - 12 q^{38} - 8 q^{40} - 40 q^{42} - 8 q^{46} + 60 q^{48} + 40 q^{50} + 8 q^{52} - 48 q^{53} + 8 q^{56} - 60 q^{58} + 20 q^{60} - 64 q^{61} + 60 q^{62} + 8 q^{66} - 16 q^{68} - 60 q^{70} + 40 q^{72} - 16 q^{73} - 72 q^{76} + 48 q^{77} - 20 q^{80} + 8 q^{81} - 12 q^{82} + 48 q^{85} + 48 q^{86} + 12 q^{88} + 44 q^{90} - 36 q^{92} + 16 q^{93} + 32 q^{96} - 80 q^{97} - 32 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/260\mathbb{Z}\right)^\times\).

\(n\) \(41\) \(131\) \(157\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{3}{4}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.203483 + 1.39950i 0.143884 + 0.989595i
\(3\) −0.0775283 + 0.0775283i −0.0447610 + 0.0447610i −0.729133 0.684372i \(-0.760076\pi\)
0.684372 + 0.729133i \(0.260076\pi\)
\(4\) −1.91719 + 0.569548i −0.958595 + 0.284774i
\(5\) 0.871245 2.05935i 0.389633 0.920970i
\(6\) −0.124276 0.0927250i −0.0507356 0.0378548i
\(7\) 2.89635 + 2.89635i 1.09472 + 1.09472i 0.995017 + 0.0997009i \(0.0317886\pi\)
0.0997009 + 0.995017i \(0.468211\pi\)
\(8\) −1.18720 2.56721i −0.419737 0.907646i
\(9\) 2.98798i 0.995993i
\(10\) 3.05934 + 0.800263i 0.967449 + 0.253065i
\(11\) 3.20102i 0.965145i 0.875856 + 0.482573i \(0.160298\pi\)
−0.875856 + 0.482573i \(0.839702\pi\)
\(12\) 0.104480 0.192792i 0.0301609 0.0556544i
\(13\) −0.707107 0.707107i −0.196116 0.196116i
\(14\) −3.46408 + 4.64280i −0.925815 + 1.24084i
\(15\) 0.0921119 + 0.227204i 0.0237832 + 0.0586639i
\(16\) 3.35123 2.18386i 0.837808 0.545965i
\(17\) −0.217815 + 0.217815i −0.0528279 + 0.0528279i −0.733027 0.680199i \(-0.761893\pi\)
0.680199 + 0.733027i \(0.261893\pi\)
\(18\) −4.18167 + 0.608002i −0.985629 + 0.143308i
\(19\) 5.01907 1.15145 0.575727 0.817642i \(-0.304719\pi\)
0.575727 + 0.817642i \(0.304719\pi\)
\(20\) −0.497443 + 4.44438i −0.111232 + 0.993795i
\(21\) −0.449098 −0.0980013
\(22\) −4.47983 + 0.651354i −0.955102 + 0.138869i
\(23\) −4.02311 + 4.02311i −0.838877 + 0.838877i −0.988711 0.149834i \(-0.952126\pi\)
0.149834 + 0.988711i \(0.452126\pi\)
\(24\) 0.291073 + 0.106990i 0.0594149 + 0.0218393i
\(25\) −3.48186 3.58840i −0.696373 0.717680i
\(26\) 0.845710 1.13348i 0.165857 0.222293i
\(27\) −0.464238 0.464238i −0.0893426 0.0893426i
\(28\) −7.20247 3.90325i −1.36114 0.737644i
\(29\) 9.89914i 1.83822i −0.393995 0.919112i \(-0.628907\pi\)
0.393995 0.919112i \(-0.371093\pi\)
\(30\) −0.299229 + 0.175143i −0.0546314 + 0.0319765i
\(31\) 2.20528i 0.396081i −0.980194 0.198040i \(-0.936542\pi\)
0.980194 0.198040i \(-0.0634577\pi\)
\(32\) 3.73823 + 4.24566i 0.660832 + 0.750534i
\(33\) −0.248170 0.248170i −0.0432008 0.0432008i
\(34\) −0.349153 0.260510i −0.0598793 0.0446771i
\(35\) 8.48804 3.44118i 1.43474 0.581665i
\(36\) −1.70180 5.72852i −0.283633 0.954754i
\(37\) 0.278378 0.278378i 0.0457651 0.0457651i −0.683854 0.729619i \(-0.739697\pi\)
0.729619 + 0.683854i \(0.239697\pi\)
\(38\) 1.02129 + 7.02418i 0.165676 + 1.13947i
\(39\) 0.109642 0.0175567
\(40\) −6.32113 + 0.208186i −0.999458 + 0.0329171i
\(41\) 5.39487 0.842537 0.421268 0.906936i \(-0.361585\pi\)
0.421268 + 0.906936i \(0.361585\pi\)
\(42\) −0.0913838 0.628512i −0.0141008 0.0969815i
\(43\) 1.36242 1.36242i 0.207767 0.207767i −0.595551 0.803318i \(-0.703066\pi\)
0.803318 + 0.595551i \(0.203066\pi\)
\(44\) −1.82314 6.13697i −0.274848 0.925183i
\(45\) 6.15330 + 2.60326i 0.917280 + 0.388071i
\(46\) −6.44897 4.81170i −0.950849 0.709447i
\(47\) −4.21558 4.21558i −0.614905 0.614905i 0.329315 0.944220i \(-0.393182\pi\)
−0.944220 + 0.329315i \(0.893182\pi\)
\(48\) −0.0905041 + 0.429126i −0.0130631 + 0.0619390i
\(49\) 9.77772i 1.39682i
\(50\) 4.31346 5.60304i 0.610016 0.792389i
\(51\) 0.0337736i 0.00472926i
\(52\) 1.75839 + 0.952927i 0.243845 + 0.132147i
\(53\) −0.797227 0.797227i −0.109508 0.109508i 0.650230 0.759737i \(-0.274673\pi\)
−0.759737 + 0.650230i \(0.774673\pi\)
\(54\) 0.555235 0.744164i 0.0755579 0.101268i
\(55\) 6.59204 + 2.78888i 0.888870 + 0.376052i
\(56\) 3.99701 10.8741i 0.534122 1.45311i
\(57\) −0.389120 + 0.389120i −0.0515401 + 0.0515401i
\(58\) 13.8538 2.01431i 1.81910 0.264491i
\(59\) −9.66566 −1.25836 −0.629181 0.777259i \(-0.716610\pi\)
−0.629181 + 0.777259i \(0.716610\pi\)
\(60\) −0.305999 0.383131i −0.0395044 0.0494620i
\(61\) 10.8601 1.39049 0.695244 0.718774i \(-0.255296\pi\)
0.695244 + 0.718774i \(0.255296\pi\)
\(62\) 3.08629 0.448738i 0.391959 0.0569897i
\(63\) −8.65424 + 8.65424i −1.09033 + 1.09033i
\(64\) −5.18113 + 6.09556i −0.647641 + 0.761945i
\(65\) −2.07225 + 0.840119i −0.257030 + 0.104204i
\(66\) 0.296815 0.397812i 0.0365354 0.0489672i
\(67\) −3.68797 3.68797i −0.450557 0.450557i 0.444982 0.895539i \(-0.353210\pi\)
−0.895539 + 0.444982i \(0.853210\pi\)
\(68\) 0.293537 0.541649i 0.0355966 0.0656846i
\(69\) 0.623810i 0.0750979i
\(70\) 6.54309 + 11.1788i 0.782049 + 1.33612i
\(71\) 11.8869i 1.41071i −0.708854 0.705356i \(-0.750787\pi\)
0.708854 0.705356i \(-0.249213\pi\)
\(72\) 7.67077 3.54732i 0.904009 0.418055i
\(73\) 0.326289 + 0.326289i 0.0381893 + 0.0381893i 0.725944 0.687754i \(-0.241403\pi\)
−0.687754 + 0.725944i \(0.741403\pi\)
\(74\) 0.446235 + 0.332945i 0.0518738 + 0.0387040i
\(75\) 0.548145 + 0.00825971i 0.0632944 + 0.000953749i
\(76\) −9.62250 + 2.85860i −1.10378 + 0.327904i
\(77\) −9.27130 + 9.27130i −1.05656 + 1.05656i
\(78\) 0.0223102 + 0.153443i 0.00252613 + 0.0173740i
\(79\) 6.73412 0.757647 0.378824 0.925469i \(-0.376329\pi\)
0.378824 + 0.925469i \(0.376329\pi\)
\(80\) −1.57760 8.80404i −0.176381 0.984322i
\(81\) −8.89195 −0.987995
\(82\) 1.09776 + 7.55010i 0.121228 + 0.833770i
\(83\) 2.35855 2.35855i 0.258885 0.258885i −0.565716 0.824600i \(-0.691400\pi\)
0.824600 + 0.565716i \(0.191400\pi\)
\(84\) 0.861007 0.255783i 0.0939435 0.0279082i
\(85\) 0.258788 + 0.638328i 0.0280695 + 0.0692364i
\(86\) 2.18393 + 1.62947i 0.235499 + 0.175710i
\(87\) 0.767463 + 0.767463i 0.0822807 + 0.0822807i
\(88\) 8.21770 3.80024i 0.876010 0.405107i
\(89\) 16.4054i 1.73897i −0.493961 0.869484i \(-0.664451\pi\)
0.493961 0.869484i \(-0.335549\pi\)
\(90\) −2.39117 + 9.14125i −0.252051 + 0.963573i
\(91\) 4.09606i 0.429384i
\(92\) 5.42171 10.0044i 0.565253 1.04303i
\(93\) 0.170972 + 0.170972i 0.0177290 + 0.0177290i
\(94\) 5.04189 6.75749i 0.520032 0.696982i
\(95\) 4.37284 10.3360i 0.448644 1.06045i
\(96\) −0.618977 0.0393405i −0.0631741 0.00401517i
\(97\) −11.5449 + 11.5449i −1.17221 + 1.17221i −0.190525 + 0.981682i \(0.561019\pi\)
−0.981682 + 0.190525i \(0.938981\pi\)
\(98\) −13.6839 + 1.98960i −1.38228 + 0.200980i
\(99\) −9.56459 −0.961278
\(100\) 8.71916 + 4.89656i 0.871916 + 0.489656i
\(101\) 7.98198 0.794236 0.397118 0.917767i \(-0.370010\pi\)
0.397118 + 0.917767i \(0.370010\pi\)
\(102\) 0.0472662 0.00687236i 0.00468005 0.000680465i
\(103\) −4.94955 + 4.94955i −0.487694 + 0.487694i −0.907578 0.419884i \(-0.862071\pi\)
0.419884 + 0.907578i \(0.362071\pi\)
\(104\) −0.975817 + 2.65477i −0.0956867 + 0.260321i
\(105\) −0.391275 + 0.924852i −0.0381845 + 0.0902563i
\(106\) 0.953495 1.27794i 0.0926117 0.124124i
\(107\) −10.5156 10.5156i −1.01658 1.01658i −0.999860 0.0167221i \(-0.994677\pi\)
−0.0167221 0.999860i \(-0.505323\pi\)
\(108\) 1.15444 + 0.625626i 0.111086 + 0.0602009i
\(109\) 0.690455i 0.0661336i 0.999453 + 0.0330668i \(0.0105274\pi\)
−0.999453 + 0.0330668i \(0.989473\pi\)
\(110\) −2.56166 + 9.79303i −0.244245 + 0.933729i
\(111\) 0.0431643i 0.00409698i
\(112\) 16.0316 + 3.38111i 1.51484 + 0.319485i
\(113\) −3.03257 3.03257i −0.285280 0.285280i 0.549931 0.835210i \(-0.314654\pi\)
−0.835210 + 0.549931i \(0.814654\pi\)
\(114\) −0.623751 0.465393i −0.0584197 0.0435880i
\(115\) 4.77989 + 11.7901i 0.445727 + 1.09943i
\(116\) 5.63803 + 18.9785i 0.523478 + 1.76211i
\(117\) 2.11282 2.11282i 0.195330 0.195330i
\(118\) −1.96680 13.5271i −0.181058 1.24527i
\(119\) −1.26174 −0.115663
\(120\) 0.473926 0.506206i 0.0432633 0.0462101i
\(121\) 0.753441 0.0684947
\(122\) 2.20984 + 15.1986i 0.200069 + 1.37602i
\(123\) −0.418255 + 0.418255i −0.0377127 + 0.0377127i
\(124\) 1.25601 + 4.22795i 0.112793 + 0.379681i
\(125\) −10.4233 + 4.04401i −0.932292 + 0.361707i
\(126\) −13.8726 10.3506i −1.23587 0.922105i
\(127\) −0.806054 0.806054i −0.0715257 0.0715257i 0.670439 0.741965i \(-0.266106\pi\)
−0.741965 + 0.670439i \(0.766106\pi\)
\(128\) −9.58500 6.01064i −0.847202 0.531271i
\(129\) 0.211252i 0.0185997i
\(130\) −1.59741 2.72915i −0.140102 0.239363i
\(131\) 19.2242i 1.67962i 0.542877 + 0.839812i \(0.317335\pi\)
−0.542877 + 0.839812i \(0.682665\pi\)
\(132\) 0.617133 + 0.334444i 0.0537146 + 0.0291096i
\(133\) 14.5370 + 14.5370i 1.26052 + 1.26052i
\(134\) 4.41087 5.91175i 0.381041 0.510697i
\(135\) −1.36049 + 0.551564i −0.117093 + 0.0474711i
\(136\) 0.817766 + 0.300588i 0.0701229 + 0.0257752i
\(137\) −3.52426 + 3.52426i −0.301097 + 0.301097i −0.841443 0.540346i \(-0.818293\pi\)
0.540346 + 0.841443i \(0.318293\pi\)
\(138\) 0.873021 0.126935i 0.0743164 0.0108054i
\(139\) −5.61731 −0.476454 −0.238227 0.971209i \(-0.576566\pi\)
−0.238227 + 0.971209i \(0.576566\pi\)
\(140\) −14.3133 + 11.4317i −1.20969 + 0.966158i
\(141\) 0.653652 0.0550475
\(142\) 16.6356 2.41877i 1.39603 0.202979i
\(143\) 2.26347 2.26347i 0.189281 0.189281i
\(144\) 6.52533 + 10.0134i 0.543778 + 0.834451i
\(145\) −20.3858 8.62458i −1.69295 0.716232i
\(146\) −0.390247 + 0.523035i −0.0322971 + 0.0432867i
\(147\) −0.758049 0.758049i −0.0625229 0.0625229i
\(148\) −0.375154 + 0.692253i −0.0308375 + 0.0569029i
\(149\) 5.19488i 0.425581i 0.977098 + 0.212791i \(0.0682552\pi\)
−0.977098 + 0.212791i \(0.931745\pi\)
\(150\) 0.0999787 + 0.768809i 0.00816323 + 0.0627730i
\(151\) 2.67892i 0.218008i 0.994041 + 0.109004i \(0.0347661\pi\)
−0.994041 + 0.109004i \(0.965234\pi\)
\(152\) −5.95862 12.8850i −0.483308 1.04511i
\(153\) −0.650827 0.650827i −0.0526162 0.0526162i
\(154\) −14.8617 11.0886i −1.19759 0.893546i
\(155\) −4.54146 1.92134i −0.364779 0.154326i
\(156\) −0.210204 + 0.0624461i −0.0168298 + 0.00499969i
\(157\) 12.4188 12.4188i 0.991132 0.991132i −0.00882890 0.999961i \(-0.502810\pi\)
0.999961 + 0.00882890i \(0.00281036\pi\)
\(158\) 1.37028 + 9.42438i 0.109013 + 0.749764i
\(159\) 0.123615 0.00980332
\(160\) 12.0002 3.99932i 0.948701 0.316174i
\(161\) −23.3047 −1.83667
\(162\) −1.80936 12.4443i −0.142157 0.977714i
\(163\) −16.7392 + 16.7392i −1.31112 + 1.31112i −0.390522 + 0.920594i \(0.627705\pi\)
−0.920594 + 0.390522i \(0.872295\pi\)
\(164\) −10.3430 + 3.07263i −0.807651 + 0.239932i
\(165\) −0.727286 + 0.294852i −0.0566191 + 0.0229542i
\(166\) 3.78071 + 2.82086i 0.293440 + 0.218941i
\(167\) 1.96065 + 1.96065i 0.151720 + 0.151720i 0.778886 0.627166i \(-0.215785\pi\)
−0.627166 + 0.778886i \(0.715785\pi\)
\(168\) 0.533168 + 1.15293i 0.0411348 + 0.0889504i
\(169\) 1.00000i 0.0769231i
\(170\) −0.840680 + 0.492062i −0.0644772 + 0.0377394i
\(171\) 14.9969i 1.14684i
\(172\) −1.83605 + 3.38797i −0.139998 + 0.258331i
\(173\) 9.64751 + 9.64751i 0.733486 + 0.733486i 0.971309 0.237822i \(-0.0764336\pi\)
−0.237822 + 0.971309i \(0.576434\pi\)
\(174\) −0.917898 + 1.23023i −0.0695857 + 0.0932634i
\(175\) 0.308572 20.4780i 0.0233258 1.54799i
\(176\) 6.99060 + 10.7274i 0.526936 + 0.808606i
\(177\) 0.749362 0.749362i 0.0563255 0.0563255i
\(178\) 22.9593 3.33822i 1.72087 0.250210i
\(179\) 23.7480 1.77501 0.887503 0.460801i \(-0.152438\pi\)
0.887503 + 0.460801i \(0.152438\pi\)
\(180\) −13.2797 1.48635i −0.989812 0.110786i
\(181\) 7.42358 0.551791 0.275895 0.961188i \(-0.411026\pi\)
0.275895 + 0.961188i \(0.411026\pi\)
\(182\) 5.73243 0.833478i 0.424916 0.0617815i
\(183\) −0.841961 + 0.841961i −0.0622396 + 0.0622396i
\(184\) 15.1044 + 5.55195i 1.11351 + 0.409295i
\(185\) −0.330743 0.815814i −0.0243167 0.0599799i
\(186\) −0.204485 + 0.274065i −0.0149936 + 0.0200954i
\(187\) −0.697231 0.697231i −0.0509866 0.0509866i
\(188\) 10.4830 + 5.68109i 0.764553 + 0.414336i
\(189\) 2.68919i 0.195610i
\(190\) 15.3550 + 4.01657i 1.11397 + 0.291393i
\(191\) 12.9193i 0.934807i 0.884044 + 0.467404i \(0.154811\pi\)
−0.884044 + 0.467404i \(0.845189\pi\)
\(192\) −0.0708943 0.874262i −0.00511636 0.0630945i
\(193\) 15.4343 + 15.4343i 1.11098 + 1.11098i 0.993018 + 0.117964i \(0.0376368\pi\)
0.117964 + 0.993018i \(0.462363\pi\)
\(194\) −18.5063 13.8079i −1.32867 0.991348i
\(195\) 0.0955246 0.225790i 0.00684066 0.0161692i
\(196\) −5.56888 18.7457i −0.397777 1.33898i
\(197\) 3.46048 3.46048i 0.246549 0.246549i −0.573004 0.819553i \(-0.694222\pi\)
0.819553 + 0.573004i \(0.194222\pi\)
\(198\) −1.94623 13.3856i −0.138313 0.951275i
\(199\) 16.8046 1.19125 0.595624 0.803263i \(-0.296905\pi\)
0.595624 + 0.803263i \(0.296905\pi\)
\(200\) −5.07852 + 13.1988i −0.359106 + 0.933297i
\(201\) 0.571844 0.0403348
\(202\) 1.62420 + 11.1708i 0.114278 + 0.785972i
\(203\) 28.6714 28.6714i 2.01234 2.01234i
\(204\) 0.0192357 + 0.0647505i 0.00134677 + 0.00453344i
\(205\) 4.70025 11.1099i 0.328280 0.775951i
\(206\) −7.93403 5.91974i −0.552790 0.412448i
\(207\) −12.0210 12.0210i −0.835515 0.835515i
\(208\) −3.91390 0.825455i −0.271380 0.0572350i
\(209\) 16.0662i 1.11132i
\(210\) −1.37395 0.359397i −0.0948113 0.0248007i
\(211\) 15.2868i 1.05239i −0.850365 0.526193i \(-0.823619\pi\)
0.850365 0.526193i \(-0.176381\pi\)
\(212\) 1.98249 + 1.07438i 0.136158 + 0.0737885i
\(213\) 0.921568 + 0.921568i 0.0631448 + 0.0631448i
\(214\) 12.5768 16.8563i 0.859734 1.15227i
\(215\) −1.61870 3.99270i −0.110394 0.272300i
\(216\) −0.640654 + 1.74294i −0.0435910 + 0.118592i
\(217\) 6.38728 6.38728i 0.433597 0.433597i
\(218\) −0.966291 + 0.140496i −0.0654455 + 0.00951558i
\(219\) −0.0505933 −0.00341878
\(220\) −14.2266 1.59233i −0.959156 0.107355i
\(221\) 0.308037 0.0207208
\(222\) −0.0604084 + 0.00878321i −0.00405435 + 0.000589490i
\(223\) −2.51119 + 2.51119i −0.168162 + 0.168162i −0.786171 0.618009i \(-0.787940\pi\)
0.618009 + 0.786171i \(0.287940\pi\)
\(224\) −1.46971 + 23.1242i −0.0981990 + 1.54505i
\(225\) 10.7221 10.4037i 0.714805 0.693582i
\(226\) 3.62700 4.86115i 0.241264 0.323359i
\(227\) 2.16630 + 2.16630i 0.143783 + 0.143783i 0.775334 0.631551i \(-0.217582\pi\)
−0.631551 + 0.775334i \(0.717582\pi\)
\(228\) 0.524394 0.967638i 0.0347288 0.0640834i
\(229\) 18.7200i 1.23705i −0.785764 0.618526i \(-0.787730\pi\)
0.785764 0.618526i \(-0.212270\pi\)
\(230\) −15.5276 + 9.08853i −1.02386 + 0.599280i
\(231\) 1.43757i 0.0945855i
\(232\) −25.4132 + 11.7522i −1.66846 + 0.771571i
\(233\) −14.6417 14.6417i −0.959209 0.959209i 0.0399907 0.999200i \(-0.487267\pi\)
−0.999200 + 0.0399907i \(0.987267\pi\)
\(234\) 3.38681 + 2.52696i 0.221403 + 0.165193i
\(235\) −12.3542 + 5.00856i −0.805896 + 0.326722i
\(236\) 18.5309 5.50505i 1.20626 0.358349i
\(237\) −0.522084 + 0.522084i −0.0339130 + 0.0339130i
\(238\) −0.256742 1.76580i −0.0166421 0.114460i
\(239\) −18.2418 −1.17997 −0.589983 0.807416i \(-0.700865\pi\)
−0.589983 + 0.807416i \(0.700865\pi\)
\(240\) 0.804871 + 0.560254i 0.0519542 + 0.0361642i
\(241\) −5.90974 −0.380680 −0.190340 0.981718i \(-0.560959\pi\)
−0.190340 + 0.981718i \(0.560959\pi\)
\(242\) 0.153312 + 1.05444i 0.00985529 + 0.0677819i
\(243\) 2.08209 2.08209i 0.133566 0.133566i
\(244\) −20.8208 + 6.18532i −1.33291 + 0.395975i
\(245\) 20.1358 + 8.51879i 1.28643 + 0.544245i
\(246\) −0.670454 0.500239i −0.0427466 0.0318941i
\(247\) −3.54902 3.54902i −0.225819 0.225819i
\(248\) −5.66143 + 2.61811i −0.359501 + 0.166250i
\(249\) 0.365709i 0.0231759i
\(250\) −7.78055 13.7646i −0.492085 0.870547i
\(251\) 8.09939i 0.511229i 0.966779 + 0.255615i \(0.0822778\pi\)
−0.966779 + 0.255615i \(0.917722\pi\)
\(252\) 11.6628 21.5208i 0.734688 1.35568i
\(253\) −12.8781 12.8781i −0.809638 0.809638i
\(254\) 0.964053 1.29209i 0.0604901 0.0810729i
\(255\) −0.0695518 0.0294251i −0.00435551 0.00184267i
\(256\) 6.46150 14.6372i 0.403843 0.914828i
\(257\) 1.70618 1.70618i 0.106429 0.106429i −0.651887 0.758316i \(-0.726022\pi\)
0.758316 + 0.651887i \(0.226022\pi\)
\(258\) −0.295646 + 0.0429861i −0.0184061 + 0.00267620i
\(259\) 1.61256 0.100200
\(260\) 3.49440 2.79091i 0.216713 0.173085i
\(261\) 29.5784 1.83086
\(262\) −26.9042 + 3.91179i −1.66215 + 0.241671i
\(263\) 15.3744 15.3744i 0.948026 0.948026i −0.0506886 0.998715i \(-0.516142\pi\)
0.998715 + 0.0506886i \(0.0161416\pi\)
\(264\) −0.342478 + 0.931730i −0.0210780 + 0.0573440i
\(265\) −2.33635 + 0.947191i −0.143521 + 0.0581855i
\(266\) −17.3865 + 23.3025i −1.06603 + 1.42877i
\(267\) 1.27188 + 1.27188i 0.0778379 + 0.0778379i
\(268\) 9.17101 + 4.97006i 0.560209 + 0.303595i
\(269\) 3.62354i 0.220931i −0.993880 0.110466i \(-0.964766\pi\)
0.993880 0.110466i \(-0.0352342\pi\)
\(270\) −1.04875 1.79177i −0.0638249 0.109044i
\(271\) 31.3377i 1.90363i 0.306669 + 0.951816i \(0.400785\pi\)
−0.306669 + 0.951816i \(0.599215\pi\)
\(272\) −0.254271 + 1.20563i −0.0154174 + 0.0731019i
\(273\) 0.317560 + 0.317560i 0.0192196 + 0.0192196i
\(274\) −5.64931 4.21506i −0.341288 0.254641i
\(275\) 11.4866 11.1455i 0.692666 0.672101i
\(276\) 0.355289 + 1.19596i 0.0213859 + 0.0719884i
\(277\) −17.8280 + 17.8280i −1.07118 + 1.07118i −0.0739185 + 0.997264i \(0.523550\pi\)
−0.997264 + 0.0739185i \(0.976450\pi\)
\(278\) −1.14303 7.86142i −0.0685542 0.471497i
\(279\) 6.58934 0.394494
\(280\) −18.9112 17.7052i −1.13016 1.05809i
\(281\) −22.1766 −1.32294 −0.661472 0.749970i \(-0.730068\pi\)
−0.661472 + 0.749970i \(0.730068\pi\)
\(282\) 0.133007 + 0.914785i 0.00792046 + 0.0544747i
\(283\) −1.53553 + 1.53553i −0.0912776 + 0.0912776i −0.751271 0.659994i \(-0.770559\pi\)
0.659994 + 0.751271i \(0.270559\pi\)
\(284\) 6.77014 + 22.7894i 0.401734 + 1.35230i
\(285\) 0.462316 + 1.14035i 0.0273852 + 0.0675487i
\(286\) 3.62829 + 2.70714i 0.214545 + 0.160077i
\(287\) 15.6254 + 15.6254i 0.922340 + 0.922340i
\(288\) −12.6859 + 11.1697i −0.747527 + 0.658184i
\(289\) 16.9051i 0.994418i
\(290\) 7.92192 30.2849i 0.465191 1.77839i
\(291\) 1.79011i 0.104938i
\(292\) −0.811396 0.439721i −0.0474833 0.0257327i
\(293\) −16.3496 16.3496i −0.955155 0.955155i 0.0438817 0.999037i \(-0.486028\pi\)
−0.999037 + 0.0438817i \(0.986028\pi\)
\(294\) 0.906638 1.21514i 0.0528762 0.0708683i
\(295\) −8.42116 + 19.9050i −0.490299 + 1.15891i
\(296\) −1.04514 0.384166i −0.0607478 0.0223292i
\(297\) 1.48604 1.48604i 0.0862285 0.0862285i
\(298\) −7.27023 + 1.05707i −0.421153 + 0.0612344i
\(299\) 5.68954 0.329035
\(300\) −1.05560 + 0.296360i −0.0609453 + 0.0171103i
\(301\) 7.89208 0.454892
\(302\) −3.74915 + 0.545115i −0.215739 + 0.0313678i
\(303\) −0.618829 + 0.618829i −0.0355508 + 0.0355508i
\(304\) 16.8201 10.9610i 0.964696 0.628654i
\(305\) 9.46177 22.3647i 0.541779 1.28060i
\(306\) 0.778399 1.04326i 0.0444981 0.0596394i
\(307\) −13.1429 13.1429i −0.750106 0.750106i 0.224393 0.974499i \(-0.427960\pi\)
−0.974499 + 0.224393i \(0.927960\pi\)
\(308\) 12.4944 23.0553i 0.711934 1.31370i
\(309\) 0.767460i 0.0436593i
\(310\) 1.76481 6.74672i 0.100234 0.383188i
\(311\) 6.77287i 0.384054i 0.981390 + 0.192027i \(0.0615062\pi\)
−0.981390 + 0.192027i \(0.938494\pi\)
\(312\) −0.130166 0.281473i −0.00736920 0.0159353i
\(313\) −3.60255 3.60255i −0.203628 0.203628i 0.597924 0.801553i \(-0.295992\pi\)
−0.801553 + 0.597924i \(0.795992\pi\)
\(314\) 19.9072 + 14.8531i 1.12343 + 0.838211i
\(315\) 10.2822 + 25.3621i 0.579334 + 1.42899i
\(316\) −12.9106 + 3.83540i −0.726277 + 0.215758i
\(317\) 7.62038 7.62038i 0.428003 0.428003i −0.459944 0.887948i \(-0.652131\pi\)
0.887948 + 0.459944i \(0.152131\pi\)
\(318\) 0.0251536 + 0.172999i 0.00141054 + 0.00970132i
\(319\) 31.6874 1.77415
\(320\) 8.03888 + 15.9805i 0.449387 + 0.893337i
\(321\) 1.63051 0.0910064
\(322\) −4.74211 32.6149i −0.264267 1.81756i
\(323\) −1.09323 + 1.09323i −0.0608289 + 0.0608289i
\(324\) 17.0476 5.06439i 0.947087 0.281355i
\(325\) −0.0753338 + 4.99943i −0.00417877 + 0.277319i
\(326\) −26.8326 20.0203i −1.48612 1.10882i
\(327\) −0.0535298 0.0535298i −0.00296020 0.00296020i
\(328\) −6.40476 13.8498i −0.353644 0.764725i
\(329\) 24.4196i 1.34630i
\(330\) −0.560636 0.957838i −0.0308620 0.0527272i
\(331\) 29.2597i 1.60826i −0.594454 0.804129i \(-0.702632\pi\)
0.594454 0.804129i \(-0.297368\pi\)
\(332\) −3.17848 + 5.86510i −0.174442 + 0.321889i
\(333\) 0.831788 + 0.831788i 0.0455817 + 0.0455817i
\(334\) −2.34497 + 3.14289i −0.128311 + 0.171971i
\(335\) −10.8080 + 4.38170i −0.590502 + 0.239398i
\(336\) −1.50503 + 0.980769i −0.0821062 + 0.0535053i
\(337\) −4.14129 + 4.14129i −0.225591 + 0.225591i −0.810848 0.585257i \(-0.800994\pi\)
0.585257 + 0.810848i \(0.300994\pi\)
\(338\) −1.39950 + 0.203483i −0.0761227 + 0.0110680i
\(339\) 0.470219 0.0255388
\(340\) −0.859703 1.07640i −0.0466240 0.0583762i
\(341\) 7.05917 0.382275
\(342\) −20.9881 + 3.05161i −1.13491 + 0.165012i
\(343\) −8.04525 + 8.04525i −0.434403 + 0.434403i
\(344\) −5.11507 1.88015i −0.275786 0.101371i
\(345\) −1.28464 0.543491i −0.0691629 0.0292606i
\(346\) −11.5386 + 15.4648i −0.620317 + 0.831391i
\(347\) 12.3111 + 12.3111i 0.660893 + 0.660893i 0.955591 0.294698i \(-0.0952189\pi\)
−0.294698 + 0.955591i \(0.595219\pi\)
\(348\) −1.90848 1.03427i −0.102305 0.0554425i
\(349\) 3.85153i 0.206167i −0.994673 0.103084i \(-0.967129\pi\)
0.994673 0.103084i \(-0.0328710\pi\)
\(350\) 28.7217 3.73507i 1.53524 0.199648i
\(351\) 0.656531i 0.0350430i
\(352\) −13.5905 + 11.9662i −0.724374 + 0.637799i
\(353\) 13.2758 + 13.2758i 0.706599 + 0.706599i 0.965818 0.259219i \(-0.0834653\pi\)
−0.259219 + 0.965818i \(0.583465\pi\)
\(354\) 1.20121 + 0.896248i 0.0638437 + 0.0476350i
\(355\) −24.4792 10.3564i −1.29922 0.549659i
\(356\) 9.34365 + 31.4522i 0.495213 + 1.66697i
\(357\) 0.0978204 0.0978204i 0.00517720 0.00517720i
\(358\) 4.83230 + 33.2352i 0.255395 + 1.75654i
\(359\) −8.57461 −0.452550 −0.226275 0.974063i \(-0.572655\pi\)
−0.226275 + 0.974063i \(0.572655\pi\)
\(360\) −0.622055 18.8874i −0.0327852 0.995453i
\(361\) 6.19104 0.325844
\(362\) 1.51057 + 10.3893i 0.0793939 + 0.546049i
\(363\) −0.0584130 + 0.0584130i −0.00306589 + 0.00306589i
\(364\) 2.33290 + 7.85293i 0.122277 + 0.411605i
\(365\) 0.956222 0.387667i 0.0500510 0.0202914i
\(366\) −1.34965 1.00700i −0.0705472 0.0526366i
\(367\) 4.72502 + 4.72502i 0.246644 + 0.246644i 0.819592 0.572948i \(-0.194200\pi\)
−0.572948 + 0.819592i \(0.694200\pi\)
\(368\) −4.69646 + 22.2683i −0.244820 + 1.16082i
\(369\) 16.1197i 0.839160i
\(370\) 1.07443 0.628878i 0.0558570 0.0326938i
\(371\) 4.61810i 0.239760i
\(372\) −0.425162 0.230409i −0.0220436 0.0119461i
\(373\) 14.0378 + 14.0378i 0.726850 + 0.726850i 0.969991 0.243141i \(-0.0781777\pi\)
−0.243141 + 0.969991i \(0.578178\pi\)
\(374\) 0.833899 1.11765i 0.0431199 0.0577922i
\(375\) 0.494579 1.12163i 0.0255399 0.0579206i
\(376\) −5.81755 + 15.8270i −0.300017 + 0.816214i
\(377\) −6.99975 + 6.99975i −0.360506 + 0.360506i
\(378\) 3.76352 0.547204i 0.193574 0.0281452i
\(379\) 4.73069 0.242999 0.121500 0.992591i \(-0.461230\pi\)
0.121500 + 0.992591i \(0.461230\pi\)
\(380\) −2.49670 + 22.3067i −0.128078 + 1.14431i
\(381\) 0.124984 0.00640312
\(382\) −18.0805 + 2.62885i −0.925080 + 0.134504i
\(383\) −16.3407 + 16.3407i −0.834968 + 0.834968i −0.988192 0.153223i \(-0.951035\pi\)
0.153223 + 0.988192i \(0.451035\pi\)
\(384\) 1.20910 0.277114i 0.0617018 0.0141414i
\(385\) 11.0153 + 27.1704i 0.561391 + 1.38473i
\(386\) −18.4596 + 24.7408i −0.939569 + 1.25927i
\(387\) 4.07087 + 4.07087i 0.206934 + 0.206934i
\(388\) 15.5584 28.7091i 0.789858 1.45749i
\(389\) 6.94354i 0.352051i 0.984386 + 0.176026i \(0.0563242\pi\)
−0.984386 + 0.176026i \(0.943676\pi\)
\(390\) 0.335431 + 0.0877421i 0.0169852 + 0.00444299i
\(391\) 1.75259i 0.0886322i
\(392\) 25.1014 11.6081i 1.26781 0.586296i
\(393\) −1.49042 1.49042i −0.0751816 0.0751816i
\(394\) 5.54708 + 4.13879i 0.279458 + 0.208509i
\(395\) 5.86707 13.8679i 0.295204 0.697771i
\(396\) 18.3371 5.44749i 0.921476 0.273747i
\(397\) 15.4365 15.4365i 0.774734 0.774734i −0.204196 0.978930i \(-0.565458\pi\)
0.978930 + 0.204196i \(0.0654581\pi\)
\(398\) 3.41945 + 23.5180i 0.171402 + 1.17885i
\(399\) −2.25405 −0.112844
\(400\) −19.5051 4.42165i −0.975255 0.221083i
\(401\) −2.06489 −0.103116 −0.0515578 0.998670i \(-0.516419\pi\)
−0.0515578 + 0.998670i \(0.516419\pi\)
\(402\) 0.116360 + 0.800294i 0.00580353 + 0.0399151i
\(403\) −1.55937 + 1.55937i −0.0776778 + 0.0776778i
\(404\) −15.3030 + 4.54612i −0.761351 + 0.226178i
\(405\) −7.74707 + 18.3117i −0.384955 + 0.909914i
\(406\) 45.9597 + 34.2914i 2.28094 + 1.70186i
\(407\) 0.891095 + 0.891095i 0.0441700 + 0.0441700i
\(408\) −0.0867040 + 0.0400959i −0.00429249 + 0.00198505i
\(409\) 5.10061i 0.252209i 0.992017 + 0.126104i \(0.0402474\pi\)
−0.992017 + 0.126104i \(0.959753\pi\)
\(410\) 16.5047 + 4.31731i 0.815111 + 0.213217i
\(411\) 0.546459i 0.0269548i
\(412\) 6.67022 12.3082i 0.328618 0.606383i
\(413\) −27.9952 27.9952i −1.37755 1.37755i
\(414\) 14.3773 19.2694i 0.706604 0.947039i
\(415\) −2.80221 6.91197i −0.137555 0.339295i
\(416\) 0.358810 5.64546i 0.0175921 0.276792i
\(417\) 0.435500 0.435500i 0.0213266 0.0213266i
\(418\) −22.4846 + 3.26919i −1.09976 + 0.159901i
\(419\) −14.0619 −0.686969 −0.343484 0.939158i \(-0.611607\pi\)
−0.343484 + 0.939158i \(0.611607\pi\)
\(420\) 0.223401 1.99597i 0.0109008 0.0973931i
\(421\) 4.35784 0.212388 0.106194 0.994345i \(-0.466133\pi\)
0.106194 + 0.994345i \(0.466133\pi\)
\(422\) 21.3938 3.11060i 1.04143 0.151422i
\(423\) 12.5961 12.5961i 0.612441 0.612441i
\(424\) −1.10018 + 2.99311i −0.0534297 + 0.145358i
\(425\) 1.54001 + 0.0232056i 0.0747015 + 0.00112564i
\(426\) −1.10221 + 1.47726i −0.0534022 + 0.0715733i
\(427\) 31.4546 + 31.4546i 1.52219 + 1.52219i
\(428\) 26.1496 + 14.1713i 1.26399 + 0.684994i
\(429\) 0.350965i 0.0169448i
\(430\) 5.25839 3.07781i 0.253582 0.148425i
\(431\) 27.0992i 1.30532i −0.757649 0.652662i \(-0.773652\pi\)
0.757649 0.652662i \(-0.226348\pi\)
\(432\) −2.56960 0.541937i −0.123630 0.0260739i
\(433\) −6.46531 6.46531i −0.310703 0.310703i 0.534479 0.845182i \(-0.320508\pi\)
−0.845182 + 0.534479i \(0.820508\pi\)
\(434\) 10.2387 + 7.63929i 0.491473 + 0.366697i
\(435\) 2.24913 0.911829i 0.107837 0.0437188i
\(436\) −0.393247 1.32373i −0.0188331 0.0633953i
\(437\) −20.1923 + 20.1923i −0.965927 + 0.965927i
\(438\) −0.0102949 0.0708052i −0.000491908 0.00338320i
\(439\) −25.2613 −1.20566 −0.602829 0.797870i \(-0.705960\pi\)
−0.602829 + 0.797870i \(0.705960\pi\)
\(440\) −0.666408 20.2341i −0.0317698 0.964622i
\(441\) −29.2156 −1.39122
\(442\) 0.0626803 + 0.431097i 0.00298140 + 0.0205052i
\(443\) −4.83303 + 4.83303i −0.229624 + 0.229624i −0.812536 0.582912i \(-0.801913\pi\)
0.582912 + 0.812536i \(0.301913\pi\)
\(444\) −0.0245842 0.0827542i −0.00116671 0.00392734i
\(445\) −33.7845 14.2931i −1.60154 0.677559i
\(446\) −4.02540 3.00343i −0.190608 0.142216i
\(447\) −0.402750 0.402750i −0.0190494 0.0190494i
\(448\) −32.6613 + 2.64852i −1.54310 + 0.125131i
\(449\) 30.4670i 1.43783i 0.695099 + 0.718914i \(0.255360\pi\)
−0.695099 + 0.718914i \(0.744640\pi\)
\(450\) 16.7418 + 12.8885i 0.789214 + 0.607571i
\(451\) 17.2691i 0.813170i
\(452\) 7.54120 + 4.08681i 0.354708 + 0.192228i
\(453\) −0.207692 0.207692i −0.00975823 0.00975823i
\(454\) −2.59093 + 3.47254i −0.121599 + 0.162975i
\(455\) −8.43523 3.56867i −0.395450 0.167302i
\(456\) 1.46091 + 0.536990i 0.0684135 + 0.0251469i
\(457\) 1.84860 1.84860i 0.0864737 0.0864737i −0.662547 0.749021i \(-0.730524\pi\)
0.749021 + 0.662547i \(0.230524\pi\)
\(458\) 26.1986 3.80920i 1.22418 0.177992i
\(459\) 0.202236 0.00943956
\(460\) −15.8790 19.8815i −0.740362 0.926981i
\(461\) −20.6755 −0.962955 −0.481477 0.876458i \(-0.659900\pi\)
−0.481477 + 0.876458i \(0.659900\pi\)
\(462\) 2.01188 0.292522i 0.0936013 0.0136093i
\(463\) 15.8454 15.8454i 0.736400 0.736400i −0.235479 0.971879i \(-0.575666\pi\)
0.971879 + 0.235479i \(0.0756660\pi\)
\(464\) −21.6184 33.1743i −1.00361 1.54008i
\(465\) 0.501050 0.203133i 0.0232356 0.00942006i
\(466\) 17.5117 23.4704i 0.811213 1.08724i
\(467\) −21.5873 21.5873i −0.998941 0.998941i 0.00105852 0.999999i \(-0.499663\pi\)
−0.999999 + 0.00105852i \(0.999663\pi\)
\(468\) −2.84732 + 5.25403i −0.131618 + 0.242868i
\(469\) 21.3633i 0.986467i
\(470\) −9.52332 16.2705i −0.439278 0.750500i
\(471\) 1.92562i 0.0887281i
\(472\) 11.4750 + 24.8138i 0.528181 + 1.14215i
\(473\) 4.36113 + 4.36113i 0.200525 + 0.200525i
\(474\) −0.836891 0.624421i −0.0384397 0.0286806i
\(475\) −17.4757 18.0104i −0.801841 0.826375i
\(476\) 2.41899 0.718620i 0.110874 0.0329379i
\(477\) 2.38210 2.38210i 0.109069 0.109069i
\(478\) −3.71190 25.5294i −0.169778 1.16769i
\(479\) −26.2847 −1.20098 −0.600488 0.799634i \(-0.705027\pi\)
−0.600488 + 0.799634i \(0.705027\pi\)
\(480\) −0.620297 + 1.24042i −0.0283125 + 0.0566170i
\(481\) −0.393686 −0.0179505
\(482\) −1.20253 8.27067i −0.0547738 0.376719i
\(483\) 1.80677 1.80677i 0.0822110 0.0822110i
\(484\) −1.44449 + 0.429121i −0.0656586 + 0.0195055i
\(485\) 13.7166 + 33.8335i 0.622838 + 1.53630i
\(486\) 3.33755 + 2.49021i 0.151394 + 0.112958i
\(487\) 12.3060 + 12.3060i 0.557639 + 0.557639i 0.928635 0.370996i \(-0.120984\pi\)
−0.370996 + 0.928635i \(0.620984\pi\)
\(488\) −12.8930 27.8800i −0.583639 1.26207i
\(489\) 2.59552i 0.117374i
\(490\) −7.82475 + 29.9134i −0.353486 + 1.35135i
\(491\) 8.98739i 0.405595i 0.979221 + 0.202798i \(0.0650034\pi\)
−0.979221 + 0.202798i \(0.934997\pi\)
\(492\) 0.563657 1.04009i 0.0254116 0.0468908i
\(493\) 2.15618 + 2.15618i 0.0971096 + 0.0971096i
\(494\) 4.24468 5.68901i 0.190977 0.255960i
\(495\) −8.33311 + 19.6969i −0.374545 + 0.885308i
\(496\) −4.81604 7.39042i −0.216246 0.331840i
\(497\) 34.4286 34.4286i 1.54433 1.54433i
\(498\) −0.511809 + 0.0744155i −0.0229347 + 0.00333464i
\(499\) 1.43936 0.0644347 0.0322173 0.999481i \(-0.489743\pi\)
0.0322173 + 0.999481i \(0.489743\pi\)
\(500\) 17.6803 13.6897i 0.790685 0.612223i
\(501\) −0.304012 −0.0135823
\(502\) −11.3351 + 1.64809i −0.505910 + 0.0735578i
\(503\) 22.4761 22.4761i 1.00216 1.00216i 0.00216153 0.999998i \(-0.499312\pi\)
0.999998 0.00216153i \(-0.000688036\pi\)
\(504\) 32.4915 + 11.9430i 1.44729 + 0.531982i
\(505\) 6.95426 16.4377i 0.309460 0.731468i
\(506\) 15.4024 20.6433i 0.684719 0.917707i
\(507\) −0.0775283 0.0775283i −0.00344315 0.00344315i
\(508\) 2.00445 + 1.08627i 0.0889329 + 0.0481955i
\(509\) 25.4007i 1.12587i 0.826502 + 0.562934i \(0.190327\pi\)
−0.826502 + 0.562934i \(0.809673\pi\)
\(510\) 0.0270278 0.103325i 0.00119681 0.00457532i
\(511\) 1.89010i 0.0836130i
\(512\) 21.7996 + 6.06442i 0.963416 + 0.268012i
\(513\) −2.33004 2.33004i −0.102874 0.102874i
\(514\) 2.73497 + 2.04062i 0.120635 + 0.0900078i
\(515\) 5.88060 + 14.5051i 0.259130 + 0.639173i
\(516\) −0.120318 0.405009i −0.00529670 0.0178295i
\(517\) 13.4942 13.4942i 0.593473 0.593473i
\(518\) 0.328129 + 2.25678i 0.0144172 + 0.0991571i
\(519\) −1.49591 −0.0656631
\(520\) 4.61692 + 4.32250i 0.202465 + 0.189554i
\(521\) −9.27032 −0.406140 −0.203070 0.979164i \(-0.565092\pi\)
−0.203070 + 0.979164i \(0.565092\pi\)
\(522\) 6.01870 + 41.3950i 0.263432 + 1.81181i
\(523\) −16.5690 + 16.5690i −0.724513 + 0.724513i −0.969521 0.245008i \(-0.921209\pi\)
0.245008 + 0.969521i \(0.421209\pi\)
\(524\) −10.9491 36.8564i −0.478313 1.61008i
\(525\) 1.56370 + 1.61155i 0.0682454 + 0.0703336i
\(526\) 24.6449 + 18.3880i 1.07457 + 0.801755i
\(527\) 0.480344 + 0.480344i 0.0209241 + 0.0209241i
\(528\) −1.37364 0.289706i −0.0597801 0.0126078i
\(529\) 9.37086i 0.407429i
\(530\) −1.80100 3.07698i −0.0782304 0.133656i
\(531\) 28.8808i 1.25332i
\(532\) −36.1497 19.5907i −1.56729 0.849363i
\(533\) −3.81475 3.81475i −0.165235 0.165235i
\(534\) −1.52119 + 2.03880i −0.0658283 + 0.0882276i
\(535\) −30.8170 + 12.4937i −1.33234 + 0.540148i
\(536\) −5.08945 + 13.8461i −0.219831 + 0.598062i
\(537\) −1.84114 + 1.84114i −0.0794510 + 0.0794510i
\(538\) 5.07114 0.737329i 0.218632 0.0317885i
\(539\) −31.2987 −1.34813
\(540\) 2.29418 1.83232i 0.0987259 0.0788504i
\(541\) −12.4118 −0.533626 −0.266813 0.963748i \(-0.585971\pi\)
−0.266813 + 0.963748i \(0.585971\pi\)
\(542\) −43.8571 + 6.37669i −1.88382 + 0.273902i
\(543\) −0.575537 + 0.575537i −0.0246987 + 0.0246987i
\(544\) −1.73901 0.110527i −0.0745595 0.00473880i
\(545\) 1.42189 + 0.601556i 0.0609071 + 0.0257678i
\(546\) −0.379807 + 0.509043i −0.0162542 + 0.0217850i
\(547\) −9.71112 9.71112i −0.415217 0.415217i 0.468334 0.883551i \(-0.344854\pi\)
−0.883551 + 0.468334i \(0.844854\pi\)
\(548\) 4.74943 8.76390i 0.202886 0.374375i
\(549\) 32.4496i 1.38492i
\(550\) 17.9355 + 13.8075i 0.764771 + 0.588754i
\(551\) 49.6845i 2.11663i
\(552\) −1.60145 + 0.740585i −0.0681623 + 0.0315214i
\(553\) 19.5044 + 19.5044i 0.829410 + 0.829410i
\(554\) −28.5780 21.3226i −1.21416 0.905910i
\(555\) 0.0888906 + 0.0376067i 0.00377320 + 0.00159632i
\(556\) 10.7695 3.19933i 0.456727 0.135682i
\(557\) 2.86118 2.86118i 0.121232 0.121232i −0.643888 0.765120i \(-0.722680\pi\)
0.765120 + 0.643888i \(0.222680\pi\)
\(558\) 1.34082 + 9.22177i 0.0567614 + 0.390389i
\(559\) −1.92675 −0.0814928
\(560\) 20.9303 30.0689i 0.884468 1.27064i
\(561\) 0.108110 0.00456442
\(562\) −4.51256 31.0361i −0.190351 1.30918i
\(563\) −12.8341 + 12.8341i −0.540893 + 0.540893i −0.923791 0.382898i \(-0.874926\pi\)
0.382898 + 0.923791i \(0.374926\pi\)
\(564\) −1.25318 + 0.372286i −0.0527682 + 0.0156761i
\(565\) −8.88723 + 3.60301i −0.373889 + 0.151580i
\(566\) −2.46142 1.83651i −0.103461 0.0771945i
\(567\) −25.7542 25.7542i −1.08158 1.08158i
\(568\) −30.5161 + 14.1120i −1.28043 + 0.592128i
\(569\) 12.1495i 0.509334i 0.967029 + 0.254667i \(0.0819658\pi\)
−0.967029 + 0.254667i \(0.918034\pi\)
\(570\) −1.50185 + 0.879052i −0.0629055 + 0.0368194i
\(571\) 19.5871i 0.819695i −0.912154 0.409848i \(-0.865582\pi\)
0.912154 0.409848i \(-0.134418\pi\)
\(572\) −3.05034 + 5.62865i −0.127541 + 0.235345i
\(573\) −1.00161 1.00161i −0.0418429 0.0418429i
\(574\) −18.6883 + 25.0473i −0.780033 + 1.04545i
\(575\) 28.4445 + 0.428615i 1.18622 + 0.0178745i
\(576\) −18.2134 15.4811i −0.758892 0.645046i
\(577\) −3.41237 + 3.41237i −0.142059 + 0.142059i −0.774560 0.632501i \(-0.782028\pi\)
0.632501 + 0.774560i \(0.282028\pi\)
\(578\) −23.6587 + 3.43990i −0.984071 + 0.143081i
\(579\) −2.39318 −0.0994572
\(580\) 43.9956 + 4.92426i 1.82682 + 0.204469i
\(581\) 13.6624 0.566812
\(582\) 2.50526 0.364257i 0.103846 0.0150989i
\(583\) 2.55194 2.55194i 0.105691 0.105691i
\(584\) 0.450284 1.22502i 0.0186329 0.0506918i
\(585\) −2.51026 6.19183i −0.103786 0.256000i
\(586\) 19.5544 26.2081i 0.807785 1.08265i
\(587\) 15.6384 + 15.6384i 0.645467 + 0.645467i 0.951894 0.306427i \(-0.0991335\pi\)
−0.306427 + 0.951894i \(0.599133\pi\)
\(588\) 1.88507 + 1.02158i 0.0777390 + 0.0421292i
\(589\) 11.0685i 0.456068i
\(590\) −29.5706 7.73507i −1.21740 0.318448i
\(591\) 0.536570i 0.0220715i
\(592\) 0.324970 1.54085i 0.0133562 0.0633285i
\(593\) 10.9939 + 10.9939i 0.451467 + 0.451467i 0.895841 0.444374i \(-0.146574\pi\)
−0.444374 + 0.895841i \(0.646574\pi\)
\(594\) 2.38209 + 1.77732i 0.0977382 + 0.0729244i
\(595\) −1.09928 + 2.59836i −0.0450662 + 0.106523i
\(596\) −2.95873 9.95957i −0.121194 0.407960i
\(597\) −1.30283 + 1.30283i −0.0533214 + 0.0533214i
\(598\) 1.15772 + 7.96250i 0.0473428 + 0.325611i
\(599\) 24.3473 0.994804 0.497402 0.867520i \(-0.334287\pi\)
0.497402 + 0.867520i \(0.334287\pi\)
\(600\) −0.629552 1.41701i −0.0257013 0.0578492i
\(601\) −25.3047 −1.03220 −0.516099 0.856529i \(-0.672617\pi\)
−0.516099 + 0.856529i \(0.672617\pi\)
\(602\) 1.60590 + 11.0450i 0.0654517 + 0.450159i
\(603\) 11.0196 11.0196i 0.448752 0.448752i
\(604\) −1.52577 5.13600i −0.0620829 0.208981i
\(605\) 0.656432 1.55160i 0.0266878 0.0630816i
\(606\) −0.991971 0.740129i −0.0402961 0.0300657i
\(607\) −30.7450 30.7450i −1.24790 1.24790i −0.956646 0.291255i \(-0.905927\pi\)
−0.291255 0.956646i \(-0.594073\pi\)
\(608\) 18.7624 + 21.3093i 0.760917 + 0.864205i
\(609\) 4.44569i 0.180148i
\(610\) 33.2246 + 8.69090i 1.34523 + 0.351884i
\(611\) 5.96172i 0.241186i
\(612\) 1.61844 + 0.877081i 0.0654214 + 0.0354539i
\(613\) −20.1332 20.1332i −0.813171 0.813171i 0.171937 0.985108i \(-0.444997\pi\)
−0.985108 + 0.171937i \(0.944997\pi\)
\(614\) 15.7191 21.0678i 0.634372 0.850229i
\(615\) 0.496931 + 1.22574i 0.0200382 + 0.0494264i
\(616\) 34.8082 + 12.7945i 1.40246 + 0.515506i
\(617\) 12.0443 12.0443i 0.484885 0.484885i −0.421803 0.906688i \(-0.638603\pi\)
0.906688 + 0.421803i \(0.138603\pi\)
\(618\) 1.07406 0.156165i 0.0432050 0.00628188i
\(619\) −7.68371 −0.308834 −0.154417 0.988006i \(-0.549350\pi\)
−0.154417 + 0.988006i \(0.549350\pi\)
\(620\) 9.80113 + 1.09700i 0.393623 + 0.0440567i
\(621\) 3.73536 0.149895
\(622\) −9.47862 + 1.37816i −0.380058 + 0.0552593i
\(623\) 47.5158 47.5158i 1.90368 1.90368i
\(624\) 0.367434 0.239442i 0.0147091 0.00958535i
\(625\) −0.753252 + 24.9886i −0.0301301 + 0.999546i
\(626\) 4.30870 5.77482i 0.172210 0.230808i
\(627\) −1.24558 1.24558i −0.0497437 0.0497437i
\(628\) −16.7362 + 30.8824i −0.667845 + 1.23234i
\(629\) 0.121270i 0.00483535i
\(630\) −33.4020 + 19.5506i −1.33077 + 0.778915i
\(631\) 26.5327i 1.05625i −0.849166 0.528126i \(-0.822895\pi\)
0.849166 0.528126i \(-0.177105\pi\)
\(632\) −7.99472 17.2879i −0.318013 0.687675i
\(633\) 1.18516 + 1.18516i 0.0471058 + 0.0471058i
\(634\) 12.2153 + 9.11409i 0.485133 + 0.361967i
\(635\) −2.36222 + 0.957679i −0.0937419 + 0.0380043i
\(636\) −0.236994 + 0.0704048i −0.00939742 + 0.00279173i
\(637\) 6.91389 6.91389i 0.273938 0.273938i
\(638\) 6.44784 + 44.3465i 0.255273 + 1.75569i
\(639\) 35.5177 1.40506
\(640\) −20.7289 + 14.5021i −0.819382 + 0.573248i
\(641\) 1.48587 0.0586882 0.0293441 0.999569i \(-0.490658\pi\)
0.0293441 + 0.999569i \(0.490658\pi\)
\(642\) 0.331782 + 2.28190i 0.0130944 + 0.0900594i
\(643\) −15.8763 + 15.8763i −0.626098 + 0.626098i −0.947084 0.320986i \(-0.895986\pi\)
0.320986 + 0.947084i \(0.395986\pi\)
\(644\) 44.6795 13.2731i 1.76062 0.523035i
\(645\) 0.435042 + 0.184052i 0.0171297 + 0.00724704i
\(646\) −1.75242 1.30752i −0.0689482 0.0514436i
\(647\) 16.6915 + 16.6915i 0.656209 + 0.656209i 0.954481 0.298272i \(-0.0964103\pi\)
−0.298272 + 0.954481i \(0.596410\pi\)
\(648\) 10.5565 + 22.8275i 0.414698 + 0.896749i
\(649\) 30.9400i 1.21450i
\(650\) −7.01202 + 0.911869i −0.275034 + 0.0357665i
\(651\) 0.990390i 0.0388164i
\(652\) 22.5584 41.6260i 0.883457 1.63020i
\(653\) −7.63408 7.63408i −0.298745 0.298745i 0.541777 0.840522i \(-0.317752\pi\)
−0.840522 + 0.541777i \(0.817752\pi\)
\(654\) 0.0640224 0.0858072i 0.00250348 0.00335533i
\(655\) 39.5894 + 16.7490i 1.54688 + 0.654437i
\(656\) 18.0794 11.7816i 0.705884 0.459996i
\(657\) −0.974945 + 0.974945i −0.0380362 + 0.0380362i
\(658\) 34.1752 4.96897i 1.33229 0.193711i
\(659\) −17.4766 −0.680792 −0.340396 0.940282i \(-0.610561\pi\)
−0.340396 + 0.940282i \(0.610561\pi\)
\(660\) 1.22641 0.979512i 0.0477380 0.0381274i
\(661\) −6.43375 −0.250244 −0.125122 0.992141i \(-0.539932\pi\)
−0.125122 + 0.992141i \(0.539932\pi\)
\(662\) 40.9489 5.95385i 1.59152 0.231403i
\(663\) −0.0238816 + 0.0238816i −0.000927484 + 0.000927484i
\(664\) −8.85496 3.25483i −0.343639 0.126312i
\(665\) 42.6021 17.2715i 1.65204 0.669760i
\(666\) −0.994831 + 1.33334i −0.0385489 + 0.0516659i
\(667\) 39.8254 + 39.8254i 1.54204 + 1.54204i
\(668\) −4.87563 2.64226i −0.188644 0.102232i
\(669\) 0.389377i 0.0150542i
\(670\) −8.33142 14.2341i −0.321871 0.549912i
\(671\) 34.7633i 1.34202i
\(672\) −1.67883 1.90672i −0.0647624 0.0735533i
\(673\) 31.2053 + 31.2053i 1.20288 + 1.20288i 0.973288 + 0.229589i \(0.0737381\pi\)
0.229589 + 0.973288i \(0.426262\pi\)
\(674\) −6.63841 4.95305i −0.255702 0.190784i
\(675\) −0.0494590 + 3.28228i −0.00190368 + 0.126335i
\(676\) −0.569548 1.91719i −0.0219057 0.0737381i
\(677\) −21.5552 + 21.5552i −0.828434 + 0.828434i −0.987300 0.158866i \(-0.949216\pi\)
0.158866 + 0.987300i \(0.449216\pi\)
\(678\) 0.0956815 + 0.658071i 0.00367463 + 0.0252731i
\(679\) −66.8762 −2.56647
\(680\) 1.33149 1.42218i 0.0510604 0.0545382i
\(681\) −0.335900 −0.0128717
\(682\) 1.43642 + 9.87929i 0.0550034 + 0.378298i
\(683\) −7.68769 + 7.68769i −0.294161 + 0.294161i −0.838722 0.544560i \(-0.816697\pi\)
0.544560 + 0.838722i \(0.316697\pi\)
\(684\) −8.54143 28.7518i −0.326590 1.09935i
\(685\) 4.18719 + 10.3282i 0.159984 + 0.394619i
\(686\) −12.8964 9.62224i −0.492386 0.367379i
\(687\) 1.45133 + 1.45133i 0.0553716 + 0.0553716i
\(688\) 1.59044 7.54110i 0.0606351 0.287502i
\(689\) 1.12745i 0.0429524i
\(690\) 0.499212 1.90845i 0.0190047 0.0726534i
\(691\) 29.0242i 1.10413i −0.833800 0.552067i \(-0.813839\pi\)
0.833800 0.552067i \(-0.186161\pi\)
\(692\) −23.9908 13.0014i −0.911994 0.494238i
\(693\) −27.7024 27.7024i −1.05233 1.05233i
\(694\) −14.7242 + 19.7344i −0.558924 + 0.749108i
\(695\) −4.89406 + 11.5680i −0.185642 + 0.438800i
\(696\) 1.05911 2.88137i 0.0401455 0.109218i
\(697\) −1.17508 + 1.17508i −0.0445095 + 0.0445095i
\(698\) 5.39020 0.783720i 0.204022 0.0296642i
\(699\) 2.27029 0.0858703
\(700\) 11.0716 + 39.4359i 0.418467 + 1.49054i
\(701\) 28.0124 1.05801 0.529007 0.848617i \(-0.322565\pi\)
0.529007 + 0.848617i \(0.322565\pi\)
\(702\) −0.918814 + 0.133593i −0.0346784 + 0.00504214i
\(703\) 1.39720 1.39720i 0.0526964 0.0526964i
\(704\) −19.5120 16.5849i −0.735388 0.625068i
\(705\) 0.569492 1.34610i 0.0214483 0.0506971i
\(706\) −15.8780 + 21.2808i −0.597578 + 0.800915i
\(707\) 23.1186 + 23.1186i 0.869465 + 0.869465i
\(708\) −1.00987 + 1.86347i −0.0379533 + 0.0700333i
\(709\) 13.6438i 0.512402i −0.966624 0.256201i \(-0.917529\pi\)
0.966624 0.256201i \(-0.0824709\pi\)
\(710\) 9.51262 36.3660i 0.357002 1.36479i
\(711\) 20.1214i 0.754611i
\(712\) −42.1161 + 19.4764i −1.57837 + 0.729910i
\(713\) 8.87211 + 8.87211i 0.332263 + 0.332263i
\(714\) 0.156804 + 0.116995i 0.00586825 + 0.00437842i
\(715\) −2.68924 6.63331i −0.100572 0.248072i
\(716\) −45.5294 + 13.5256i −1.70151 + 0.505475i
\(717\) 1.41426 1.41426i 0.0528164 0.0528164i
\(718\) −1.74479 12.0001i −0.0651148 0.447841i
\(719\) −19.0497 −0.710433 −0.355217 0.934784i \(-0.615593\pi\)
−0.355217 + 0.934784i \(0.615593\pi\)
\(720\) 26.3063 4.71383i 0.980378 0.175674i
\(721\) −28.6713 −1.06777
\(722\) 1.25977 + 8.66435i 0.0468838 + 0.322454i
\(723\) 0.458172 0.458172i 0.0170396 0.0170396i
\(724\) −14.2324 + 4.22808i −0.528944 + 0.157136i
\(725\) −35.5221 + 34.4675i −1.31926 + 1.28009i
\(726\) −0.0936349 0.0698628i −0.00347512 0.00259285i
\(727\) 28.3966 + 28.3966i 1.05317 + 1.05317i 0.998505 + 0.0546675i \(0.0174099\pi\)
0.0546675 + 0.998505i \(0.482590\pi\)
\(728\) −10.5154 + 4.86283i −0.389728 + 0.180228i
\(729\) 26.3530i 0.976038i
\(730\) 0.737113 + 1.25935i 0.0272818 + 0.0466106i
\(731\) 0.593510i 0.0219518i
\(732\) 1.13466 2.09374i 0.0419383 0.0773867i
\(733\) −6.90352 6.90352i −0.254987 0.254987i 0.568024 0.823012i \(-0.307708\pi\)
−0.823012 + 0.568024i \(0.807708\pi\)
\(734\) −5.65120 + 7.57412i −0.208590 + 0.279566i
\(735\) −2.22154 + 0.900644i −0.0819426 + 0.0332207i
\(736\) −32.1201 2.04146i −1.18396 0.0752494i
\(737\) 11.8053 11.8053i 0.434853 0.434853i
\(738\) −22.5596 + 3.28009i −0.830429 + 0.120742i
\(739\) 30.9143 1.13720 0.568601 0.822614i \(-0.307485\pi\)
0.568601 + 0.822614i \(0.307485\pi\)
\(740\) 1.09874 + 1.37570i 0.0403906 + 0.0505716i
\(741\) 0.550298 0.0202157
\(742\) 6.46302 0.939704i 0.237265 0.0344976i
\(743\) −31.0812 + 31.0812i −1.14026 + 1.14026i −0.151858 + 0.988402i \(0.548525\pi\)
−0.988402 + 0.151858i \(0.951475\pi\)
\(744\) 0.235943 0.641898i 0.00865011 0.0235331i
\(745\) 10.6981 + 4.52602i 0.391948 + 0.165820i
\(746\) −16.7894 + 22.5023i −0.614705 + 0.823869i
\(747\) 7.04730 + 7.04730i 0.257847 + 0.257847i
\(748\) 1.73383 + 0.939618i 0.0633952 + 0.0343558i
\(749\) 60.9138i 2.22574i
\(750\) 1.67035 + 0.463930i 0.0609927 + 0.0169403i
\(751\) 1.26768i 0.0462582i 0.999732 + 0.0231291i \(0.00736287\pi\)
−0.999732 + 0.0231291i \(0.992637\pi\)
\(752\) −23.3336 4.92113i −0.850889 0.179455i
\(753\) −0.627932 0.627932i −0.0228831 0.0228831i
\(754\) −11.2205 8.37181i −0.408625 0.304883i
\(755\) 5.51685 + 2.33400i 0.200779 + 0.0849429i
\(756\) 1.53162 + 5.15569i 0.0557046 + 0.187511i
\(757\) −6.66924 + 6.66924i −0.242398 + 0.242398i −0.817841 0.575444i \(-0.804829\pi\)
0.575444 + 0.817841i \(0.304829\pi\)
\(758\) 0.962613 + 6.62059i 0.0349637 + 0.240470i
\(759\) 1.99683 0.0724804
\(760\) −31.7262 + 1.04490i −1.15083 + 0.0379025i
\(761\) 17.3878 0.630309 0.315155 0.949040i \(-0.397944\pi\)
0.315155 + 0.949040i \(0.397944\pi\)
\(762\) 0.0254321 + 0.174915i 0.000921308 + 0.00633649i
\(763\) −1.99980 + 1.99980i −0.0723977 + 0.0723977i
\(764\) −7.35815 24.7687i −0.266209 0.896101i
\(765\) −1.90731 + 0.773252i −0.0689590 + 0.0279570i
\(766\) −26.1938 19.5437i −0.946419 0.706141i
\(767\) 6.83465 + 6.83465i 0.246785 + 0.246785i
\(768\) 0.633852 + 1.63575i 0.0228722 + 0.0590250i
\(769\) 7.24605i 0.261299i −0.991429 0.130650i \(-0.958294\pi\)
0.991429 0.130650i \(-0.0417063\pi\)
\(770\) −35.7835 + 20.9446i −1.28955 + 0.754791i
\(771\) 0.264554i 0.00952769i
\(772\) −38.3809 20.7998i −1.38136 0.748603i
\(773\) 24.8969 + 24.8969i 0.895479 + 0.895479i 0.995032 0.0995533i \(-0.0317414\pi\)
−0.0995533 + 0.995032i \(0.531741\pi\)
\(774\) −4.86883 + 6.52553i −0.175006 + 0.234555i
\(775\)