Properties

Label 177.2.e.a.25.3
Level $177$
Weight $2$
Character 177.25
Analytic conductor $1.413$
Analytic rank $0$
Dimension $140$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 177 = 3 \cdot 59 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 177.e (of order \(29\), degree \(28\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.41335211578\)
Analytic rank: \(0\)
Dimension: \(140\)
Relative dimension: \(5\) over \(\Q(\zeta_{29})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{29}]$

Embedding invariants

Embedding label 25.3
Character \(\chi\) \(=\) 177.25
Dual form 177.2.e.a.85.3

$q$-expansion

\(f(q)\) \(=\) \(q+(0.0877061 + 0.0666724i) q^{2} +(0.468408 + 0.883512i) q^{3} +(-0.531810 - 1.91540i) q^{4} +(0.442982 + 0.419615i) q^{5} +(-0.0178236 + 0.108719i) q^{6} +(2.33019 - 2.74331i) q^{7} +(0.162618 - 0.408142i) q^{8} +(-0.561187 + 0.827689i) q^{9} +O(q^{10})\) \(q+(0.0877061 + 0.0666724i) q^{2} +(0.468408 + 0.883512i) q^{3} +(-0.531810 - 1.91540i) q^{4} +(0.442982 + 0.419615i) q^{5} +(-0.0178236 + 0.108719i) q^{6} +(2.33019 - 2.74331i) q^{7} +(0.162618 - 0.408142i) q^{8} +(-0.561187 + 0.827689i) q^{9} +(0.0108755 + 0.0663375i) q^{10} +(3.02513 + 1.82016i) q^{11} +(1.44318 - 1.36705i) q^{12} +(0.575044 + 0.848127i) q^{13} +(0.387275 - 0.0852456i) q^{14} +(-0.163238 + 0.587931i) q^{15} +(-3.36515 + 2.02475i) q^{16} +(-0.775943 - 0.913511i) q^{17} +(-0.104404 + 0.0351777i) q^{18} +(-3.75617 + 1.73779i) q^{19} +(0.568150 - 1.07165i) q^{20} +(3.51523 + 0.773760i) q^{21} +(0.143968 + 0.361332i) q^{22} +(2.81680 + 0.949089i) q^{23} +(0.436770 - 0.0475016i) q^{24} +(-0.250538 - 4.62090i) q^{25} +(-0.00611180 + 0.112725i) q^{26} +(-0.994138 - 0.108119i) q^{27} +(-6.49376 - 3.00434i) q^{28} +(-7.21499 + 5.48469i) q^{29} +(-0.0535158 + 0.0406816i) q^{30} +(-1.77855 - 0.822846i) q^{31} +(-1.30368 - 0.141784i) q^{32} +(-0.191137 + 3.52532i) q^{33} +(-0.00714894 - 0.131854i) q^{34} +(2.18337 - 0.237455i) q^{35} +(1.88380 + 0.634728i) q^{36} +(-1.02217 - 2.56546i) q^{37} +(-0.445302 - 0.0980184i) q^{38} +(-0.479975 + 0.905328i) q^{39} +(0.243299 - 0.112562i) q^{40} +(6.93080 - 2.33526i) q^{41} +(0.256718 + 0.302232i) q^{42} +(-4.73188 + 2.84708i) q^{43} +(1.87755 - 6.76233i) q^{44} +(-0.595906 + 0.131169i) q^{45} +(0.183772 + 0.271044i) q^{46} +(-7.93582 + 7.51721i) q^{47} +(-3.36515 - 2.02475i) q^{48} +(-0.963497 - 5.87707i) q^{49} +(0.286113 - 0.421985i) q^{50} +(0.443639 - 1.11345i) q^{51} +(1.31869 - 1.55248i) q^{52} +(-1.55014 + 9.45546i) q^{53} +(-0.0799834 - 0.0757643i) q^{54} +(0.576312 + 2.07569i) q^{55} +(-0.740727 - 1.39716i) q^{56} +(-3.29478 - 2.50463i) q^{57} -0.998476 q^{58} +(-4.40030 - 6.29582i) q^{59} +1.21294 q^{60} +(2.38339 + 1.81180i) q^{61} +(-0.101129 - 0.190749i) q^{62} +(0.962936 + 3.46818i) q^{63} +(5.59755 + 5.30228i) q^{64} +(-0.101152 + 0.617002i) q^{65} +(-0.251805 + 0.296448i) q^{66} +(-2.67693 + 6.71858i) q^{67} +(-1.33709 + 1.97206i) q^{68} +(0.480880 + 2.93324i) q^{69} +(0.207326 + 0.124744i) q^{70} +(-1.08168 + 1.02462i) q^{71} +(0.246555 + 0.363641i) q^{72} +(13.9795 - 3.07713i) q^{73} +(0.0813946 - 0.293157i) q^{74} +(3.96527 - 2.38582i) q^{75} +(5.32614 + 6.27042i) q^{76} +(12.0424 - 4.05755i) q^{77} +(-0.102457 + 0.0474017i) q^{78} +(0.722413 - 1.36261i) q^{79} +(-2.34032 - 0.515143i) q^{80} +(-0.370138 - 0.928977i) q^{81} +(0.763571 + 0.257277i) q^{82} +(-5.87437 + 0.638876i) q^{83} +(-0.387368 - 7.14458i) q^{84} +(0.0395939 - 0.730266i) q^{85} +(-0.604836 - 0.0657798i) q^{86} +(-8.22535 - 3.80545i) q^{87} +(1.23483 - 0.938690i) q^{88} +(13.4725 - 10.2416i) q^{89} +(-0.0610100 - 0.0282262i) q^{90} +(3.66664 + 0.398771i) q^{91} +(0.319891 - 5.90004i) q^{92} +(-0.106095 - 1.95680i) q^{93} +(-1.19721 + 0.130205i) q^{94} +(-2.39312 - 0.806336i) q^{95} +(-0.485387 - 1.21823i) q^{96} +(9.58132 + 2.10901i) q^{97} +(0.307334 - 0.579693i) q^{98} +(-3.20419 + 1.48242i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 140q - q^{2} - 5q^{3} - 9q^{4} - 2q^{5} - q^{6} - 2q^{7} - 9q^{8} - 5q^{9} + O(q^{10}) \) \( 140q - q^{2} - 5q^{3} - 9q^{4} - 2q^{5} - q^{6} - 2q^{7} - 9q^{8} - 5q^{9} + 88q^{10} - 14q^{11} - 9q^{12} - 12q^{13} - q^{14} - 2q^{15} - 41q^{16} - 16q^{17} - q^{18} - 10q^{19} - 32q^{20} + 27q^{21} - 26q^{22} - 22q^{23} - 9q^{24} + 27q^{25} - 56q^{26} - 5q^{27} - 50q^{28} - 24q^{29} - 28q^{30} - 24q^{31} + 106q^{32} - 14q^{33} - 54q^{34} - 70q^{35} - 9q^{36} - 28q^{37} - 80q^{38} - 12q^{39} - 50q^{40} - 40q^{41} - 30q^{42} + 4q^{43} - 104q^{44} - 2q^{45} - 28q^{46} + 31q^{47} - 41q^{48} - q^{49} + 39q^{50} - 16q^{51} + 62q^{52} + 4q^{53} - q^{54} + 5q^{55} + 96q^{56} - 10q^{57} + 128q^{58} - q^{59} - 32q^{60} - 16q^{61} + 223q^{62} - 2q^{63} + 97q^{64} + 121q^{65} - 26q^{66} - 12q^{67} + 10q^{68} + 36q^{69} - 2q^{70} - 22q^{71} - 9q^{72} + 179q^{73} - 38q^{74} - 31q^{75} + 112q^{76} - 62q^{77} - 56q^{78} - 84q^{79} + 204q^{80} - 5q^{81} - 152q^{82} - 88q^{83} + 95q^{84} - 118q^{85} - 118q^{86} + 34q^{87} + 18q^{88} - 86q^{89} - 28q^{90} + 78q^{91} - 174q^{92} - 24q^{93} - 164q^{94} + 218q^{95} - 39q^{96} - 84q^{97} + 129q^{98} - 14q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{6}{29}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.0877061 + 0.0666724i 0.0620176 + 0.0471445i 0.635724 0.771917i \(-0.280702\pi\)
−0.573706 + 0.819061i \(0.694495\pi\)
\(3\) 0.468408 + 0.883512i 0.270436 + 0.510096i
\(4\) −0.531810 1.91540i −0.265905 0.957702i
\(5\) 0.442982 + 0.419615i 0.198108 + 0.187657i 0.780322 0.625378i \(-0.215055\pi\)
−0.582215 + 0.813035i \(0.697814\pi\)
\(6\) −0.0178236 + 0.108719i −0.00727646 + 0.0443845i
\(7\) 2.33019 2.74331i 0.880728 1.03687i −0.118308 0.992977i \(-0.537747\pi\)
0.999036 0.0438966i \(-0.0139772\pi\)
\(8\) 0.162618 0.408142i 0.0574943 0.144300i
\(9\) −0.561187 + 0.827689i −0.187062 + 0.275896i
\(10\) 0.0108755 + 0.0663375i 0.00343913 + 0.0209777i
\(11\) 3.02513 + 1.82016i 0.912111 + 0.548799i 0.892519 0.451009i \(-0.148936\pi\)
0.0195917 + 0.999808i \(0.493763\pi\)
\(12\) 1.44318 1.36705i 0.416610 0.394634i
\(13\) 0.575044 + 0.848127i 0.159489 + 0.235228i 0.899034 0.437878i \(-0.144270\pi\)
−0.739546 + 0.673106i \(0.764960\pi\)
\(14\) 0.387275 0.0852456i 0.103504 0.0227829i
\(15\) −0.163238 + 0.587931i −0.0421479 + 0.151803i
\(16\) −3.36515 + 2.02475i −0.841288 + 0.506186i
\(17\) −0.775943 0.913511i −0.188194 0.221559i 0.659971 0.751291i \(-0.270568\pi\)
−0.848165 + 0.529732i \(0.822293\pi\)
\(18\) −0.104404 + 0.0351777i −0.0246082 + 0.00829145i
\(19\) −3.75617 + 1.73779i −0.861725 + 0.398677i −0.800418 0.599442i \(-0.795389\pi\)
−0.0613074 + 0.998119i \(0.519527\pi\)
\(20\) 0.568150 1.07165i 0.127042 0.239627i
\(21\) 3.51523 + 0.773760i 0.767085 + 0.168848i
\(22\) 0.143968 + 0.361332i 0.0306940 + 0.0770362i
\(23\) 2.81680 + 0.949089i 0.587343 + 0.197899i 0.597254 0.802052i \(-0.296258\pi\)
−0.00991139 + 0.999951i \(0.503155\pi\)
\(24\) 0.436770 0.0475016i 0.0891553 0.00969622i
\(25\) −0.250538 4.62090i −0.0501076 0.924181i
\(26\) −0.00611180 + 0.112725i −0.00119862 + 0.0221073i
\(27\) −0.994138 0.108119i −0.191322 0.0208075i
\(28\) −6.49376 3.00434i −1.22721 0.567766i
\(29\) −7.21499 + 5.48469i −1.33979 + 1.01848i −0.342924 + 0.939363i \(0.611417\pi\)
−0.996865 + 0.0791185i \(0.974789\pi\)
\(30\) −0.0535158 + 0.0406816i −0.00977060 + 0.00742742i
\(31\) −1.77855 0.822846i −0.319438 0.147788i 0.253617 0.967305i \(-0.418380\pi\)
−0.573055 + 0.819517i \(0.694242\pi\)
\(32\) −1.30368 0.141784i −0.230460 0.0250640i
\(33\) −0.191137 + 3.52532i −0.0332727 + 0.613679i
\(34\) −0.00714894 0.131854i −0.00122603 0.0226128i
\(35\) 2.18337 0.237455i 0.369056 0.0401373i
\(36\) 1.88380 + 0.634728i 0.313967 + 0.105788i
\(37\) −1.02217 2.56546i −0.168044 0.421758i 0.820703 0.571355i \(-0.193582\pi\)
−0.988747 + 0.149596i \(0.952203\pi\)
\(38\) −0.445302 0.0980184i −0.0722375 0.0159007i
\(39\) −0.479975 + 0.905328i −0.0768575 + 0.144969i
\(40\) 0.243299 0.112562i 0.0384690 0.0177977i
\(41\) 6.93080 2.33526i 1.08241 0.364706i 0.279096 0.960263i \(-0.409965\pi\)
0.803313 + 0.595557i \(0.203069\pi\)
\(42\) 0.256718 + 0.302232i 0.0396125 + 0.0466354i
\(43\) −4.73188 + 2.84708i −0.721604 + 0.434175i −0.828423 0.560104i \(-0.810761\pi\)
0.106818 + 0.994279i \(0.465934\pi\)
\(44\) 1.87755 6.76233i 0.283051 1.01946i
\(45\) −0.595906 + 0.131169i −0.0888325 + 0.0195535i
\(46\) 0.183772 + 0.271044i 0.0270957 + 0.0399632i
\(47\) −7.93582 + 7.51721i −1.15756 + 1.09650i −0.163625 + 0.986523i \(0.552319\pi\)
−0.993934 + 0.109975i \(0.964923\pi\)
\(48\) −3.36515 2.02475i −0.485718 0.292247i
\(49\) −0.963497 5.87707i −0.137642 0.839581i
\(50\) 0.286113 0.421985i 0.0404625 0.0596777i
\(51\) 0.443639 1.11345i 0.0621219 0.155914i
\(52\) 1.31869 1.55248i 0.182870 0.215291i
\(53\) −1.55014 + 9.45546i −0.212929 + 1.29881i 0.636571 + 0.771218i \(0.280352\pi\)
−0.849500 + 0.527589i \(0.823096\pi\)
\(54\) −0.0799834 0.0757643i −0.0108844 0.0103102i
\(55\) 0.576312 + 2.07569i 0.0777099 + 0.279886i
\(56\) −0.740727 1.39716i −0.0989838 0.186703i
\(57\) −3.29478 2.50463i −0.436405 0.331746i
\(58\) −0.998476 −0.131106
\(59\) −4.40030 6.29582i −0.572870 0.819646i
\(60\) 1.21294 0.156590
\(61\) 2.38339 + 1.81180i 0.305161 + 0.231978i 0.746536 0.665346i \(-0.231716\pi\)
−0.441374 + 0.897323i \(0.645509\pi\)
\(62\) −0.101129 0.190749i −0.0128434 0.0242252i
\(63\) 0.962936 + 3.46818i 0.121318 + 0.436950i
\(64\) 5.59755 + 5.30228i 0.699694 + 0.662785i
\(65\) −0.101152 + 0.617002i −0.0125464 + 0.0765297i
\(66\) −0.251805 + 0.296448i −0.0309951 + 0.0364902i
\(67\) −2.67693 + 6.71858i −0.327039 + 0.820805i 0.669888 + 0.742462i \(0.266342\pi\)
−0.996926 + 0.0783430i \(0.975037\pi\)
\(68\) −1.33709 + 1.97206i −0.162146 + 0.239147i
\(69\) 0.480880 + 2.93324i 0.0578911 + 0.353120i
\(70\) 0.207326 + 0.124744i 0.0247802 + 0.0149098i
\(71\) −1.08168 + 1.02462i −0.128372 + 0.121600i −0.749192 0.662352i \(-0.769558\pi\)
0.620821 + 0.783953i \(0.286800\pi\)
\(72\) 0.246555 + 0.363641i 0.0290568 + 0.0428555i
\(73\) 13.9795 3.07713i 1.63618 0.360151i 0.700680 0.713475i \(-0.252880\pi\)
0.935501 + 0.353325i \(0.114949\pi\)
\(74\) 0.0813946 0.293157i 0.00946193 0.0340788i
\(75\) 3.96527 2.38582i 0.457870 0.275491i
\(76\) 5.32614 + 6.27042i 0.610950 + 0.719266i
\(77\) 12.0424 4.05755i 1.37236 0.462401i
\(78\) −0.102457 + 0.0474017i −0.0116010 + 0.00536719i
\(79\) 0.722413 1.36261i 0.0812778 0.153306i −0.839542 0.543295i \(-0.817176\pi\)
0.920819 + 0.389989i \(0.127521\pi\)
\(80\) −2.34032 0.515143i −0.261655 0.0575947i
\(81\) −0.370138 0.928977i −0.0411265 0.103220i
\(82\) 0.763571 + 0.257277i 0.0843223 + 0.0284115i
\(83\) −5.87437 + 0.638876i −0.644796 + 0.0701258i −0.424674 0.905347i \(-0.639611\pi\)
−0.220122 + 0.975472i \(0.570646\pi\)
\(84\) −0.387368 7.14458i −0.0422653 0.779537i
\(85\) 0.0395939 0.730266i 0.00429456 0.0792085i
\(86\) −0.604836 0.0657798i −0.0652211 0.00709322i
\(87\) −8.22535 3.80545i −0.881850 0.407987i
\(88\) 1.23483 0.938690i 0.131633 0.100065i
\(89\) 13.4725 10.2416i 1.42809 1.08560i 0.446458 0.894805i \(-0.352685\pi\)
0.981629 0.190799i \(-0.0611078\pi\)
\(90\) −0.0610100 0.0282262i −0.00643101 0.00297530i
\(91\) 3.66664 + 0.398771i 0.384368 + 0.0418025i
\(92\) 0.319891 5.90004i 0.0333509 0.615122i
\(93\) −0.106095 1.95680i −0.0110015 0.202911i
\(94\) −1.19721 + 0.130205i −0.123483 + 0.0134296i
\(95\) −2.39312 0.806336i −0.245529 0.0827284i
\(96\) −0.485387 1.21823i −0.0495396 0.124335i
\(97\) 9.58132 + 2.10901i 0.972836 + 0.214137i 0.672828 0.739799i \(-0.265080\pi\)
0.300008 + 0.953937i \(0.403011\pi\)
\(98\) 0.307334 0.579693i 0.0310454 0.0585579i
\(99\) −3.20419 + 1.48242i −0.322033 + 0.148988i
\(100\) −8.71766 + 2.93732i −0.871766 + 0.293732i
\(101\) −0.407277 0.479483i −0.0405256 0.0477104i 0.741526 0.670924i \(-0.234102\pi\)
−0.782051 + 0.623214i \(0.785827\pi\)
\(102\) 0.113146 0.0680779i 0.0112032 0.00674072i
\(103\) 2.97286 10.7073i 0.292925 1.05502i −0.659864 0.751385i \(-0.729386\pi\)
0.952789 0.303634i \(-0.0982002\pi\)
\(104\) 0.439669 0.0967784i 0.0431131 0.00948990i
\(105\) 1.23250 + 1.81780i 0.120280 + 0.177399i
\(106\) −0.766376 + 0.725950i −0.0744370 + 0.0705105i
\(107\) −1.25426 0.754662i −0.121254 0.0729560i 0.453635 0.891188i \(-0.350127\pi\)
−0.574889 + 0.818232i \(0.694955\pi\)
\(108\) 0.321600 + 1.96168i 0.0309460 + 0.188762i
\(109\) 8.42733 12.4294i 0.807192 1.19052i −0.171500 0.985184i \(-0.554861\pi\)
0.978692 0.205335i \(-0.0658285\pi\)
\(110\) −0.0878451 + 0.220475i −0.00837570 + 0.0210214i
\(111\) 1.78782 2.10478i 0.169692 0.199777i
\(112\) −2.28694 + 13.9497i −0.216095 + 1.31812i
\(113\) −1.52599 1.44550i −0.143553 0.135981i 0.612554 0.790429i \(-0.290142\pi\)
−0.756107 + 0.654448i \(0.772901\pi\)
\(114\) −0.121983 0.439342i −0.0114247 0.0411482i
\(115\) 0.849538 + 1.60240i 0.0792199 + 0.149425i
\(116\) 14.3424 + 10.9028i 1.33166 + 1.01230i
\(117\) −1.02469 −0.0947329
\(118\) 0.0338250 0.845560i 0.00311384 0.0778401i
\(119\) −4.31414 −0.395476
\(120\) 0.213414 + 0.162233i 0.0194819 + 0.0148098i
\(121\) 0.685935 + 1.29381i 0.0623578 + 0.117619i
\(122\) 0.0882401 + 0.317812i 0.00798889 + 0.0287734i
\(123\) 5.30968 + 5.02959i 0.478757 + 0.453503i
\(124\) −0.630232 + 3.84425i −0.0565965 + 0.345224i
\(125\) 3.80310 4.47736i 0.340160 0.400467i
\(126\) −0.146777 + 0.368382i −0.0130759 + 0.0328181i
\(127\) −6.96378 + 10.2708i −0.617936 + 0.911387i −0.999918 0.0127825i \(-0.995931\pi\)
0.381983 + 0.924170i \(0.375241\pi\)
\(128\) 0.561734 + 3.42643i 0.0496507 + 0.302856i
\(129\) −4.73188 2.84708i −0.416618 0.250671i
\(130\) −0.0500087 + 0.0473708i −0.00438605 + 0.00415469i
\(131\) −1.58643 2.33980i −0.138607 0.204430i 0.752050 0.659106i \(-0.229065\pi\)
−0.890657 + 0.454677i \(0.849755\pi\)
\(132\) 6.85406 1.50869i 0.596569 0.131315i
\(133\) −3.98529 + 14.3537i −0.345569 + 1.24463i
\(134\) −0.682727 + 0.410783i −0.0589786 + 0.0354863i
\(135\) −0.395017 0.465050i −0.0339976 0.0400251i
\(136\) −0.499024 + 0.168141i −0.0427910 + 0.0144180i
\(137\) −20.9000 + 9.66939i −1.78561 + 0.826112i −0.817362 + 0.576124i \(0.804564\pi\)
−0.968249 + 0.249987i \(0.919573\pi\)
\(138\) −0.153390 + 0.289324i −0.0130574 + 0.0246289i
\(139\) 11.3696 + 2.50265i 0.964360 + 0.212272i 0.669122 0.743152i \(-0.266670\pi\)
0.295237 + 0.955424i \(0.404601\pi\)
\(140\) −1.61596 4.05575i −0.136573 0.342773i
\(141\) −10.3588 3.49027i −0.872365 0.293934i
\(142\) −0.163184 + 0.0177473i −0.0136941 + 0.00148932i
\(143\) 0.195857 + 3.61237i 0.0163784 + 0.302081i
\(144\) 0.212621 3.92156i 0.0177184 0.326797i
\(145\) −5.49757 0.597897i −0.456548 0.0496526i
\(146\) 1.43125 + 0.662167i 0.118451 + 0.0548013i
\(147\) 4.74115 3.60413i 0.391044 0.297264i
\(148\) −4.37029 + 3.32221i −0.359235 + 0.273084i
\(149\) −19.8372 9.17765i −1.62512 0.751863i −0.625526 0.780203i \(-0.715116\pi\)
−0.999598 + 0.0283406i \(0.990978\pi\)
\(150\) 0.506847 + 0.0551229i 0.0413839 + 0.00450077i
\(151\) 0.145304 2.67998i 0.0118247 0.218093i −0.986649 0.162862i \(-0.947928\pi\)
0.998474 0.0552316i \(-0.0175897\pi\)
\(152\) 0.0984416 + 1.81565i 0.00798466 + 0.147268i
\(153\) 1.19155 0.129589i 0.0963313 0.0104767i
\(154\) 1.32672 + 0.447023i 0.106910 + 0.0360221i
\(155\) −0.442589 1.11081i −0.0355496 0.0892227i
\(156\) 1.98933 + 0.437884i 0.159273 + 0.0350587i
\(157\) −2.11610 + 3.99139i −0.168883 + 0.318548i −0.953479 0.301461i \(-0.902526\pi\)
0.784595 + 0.620008i \(0.212871\pi\)
\(158\) 0.154209 0.0713446i 0.0122682 0.00567587i
\(159\) −9.08012 + 3.05945i −0.720100 + 0.242630i
\(160\) −0.518012 0.609851i −0.0409524 0.0482129i
\(161\) 9.16731 5.51579i 0.722485 0.434705i
\(162\) 0.0294738 0.106155i 0.00231568 0.00834032i
\(163\) −9.34031 + 2.05596i −0.731590 + 0.161035i −0.565117 0.825011i \(-0.691169\pi\)
−0.166473 + 0.986046i \(0.553238\pi\)
\(164\) −8.15883 12.0334i −0.637098 0.939649i
\(165\) −1.56395 + 1.48145i −0.121753 + 0.115331i
\(166\) −0.557813 0.335625i −0.0432947 0.0260496i
\(167\) −0.530567 3.23631i −0.0410565 0.250433i 0.958322 0.285691i \(-0.0922231\pi\)
−0.999378 + 0.0352576i \(0.988775\pi\)
\(168\) 0.887444 1.30888i 0.0684678 0.100982i
\(169\) 4.42315 11.1013i 0.340243 0.853944i
\(170\) 0.0521612 0.0614089i 0.00400058 0.00470985i
\(171\) 0.669566 4.08417i 0.0512030 0.312324i
\(172\) 7.96976 + 7.54936i 0.607688 + 0.575633i
\(173\) −3.19371 11.5027i −0.242813 0.874534i −0.980025 0.198872i \(-0.936272\pi\)
0.737212 0.675661i \(-0.236142\pi\)
\(174\) −0.467695 0.882165i −0.0354558 0.0668768i
\(175\) −13.2604 10.0803i −1.00239 0.761997i
\(176\) −13.8654 −1.04514
\(177\) 3.50130 6.83673i 0.263174 0.513880i
\(178\) 1.86445 0.139747
\(179\) 15.2500 + 11.5927i 1.13984 + 0.866481i 0.992456 0.122600i \(-0.0391231\pi\)
0.147379 + 0.989080i \(0.452916\pi\)
\(180\) 0.568150 + 1.07165i 0.0423474 + 0.0798757i
\(181\) 3.95710 + 14.2522i 0.294129 + 1.05936i 0.951968 + 0.306198i \(0.0990570\pi\)
−0.657839 + 0.753159i \(0.728529\pi\)
\(182\) 0.294999 + 0.279438i 0.0218668 + 0.0207133i
\(183\) −0.484352 + 2.95441i −0.0358043 + 0.218397i
\(184\) 0.845426 0.995312i 0.0623256 0.0733754i
\(185\) 0.623700 1.56537i 0.0458553 0.115088i
\(186\) 0.121160 0.178697i 0.00888385 0.0131027i
\(187\) −0.684592 4.17583i −0.0500624 0.305367i
\(188\) 18.6189 + 11.2026i 1.35792 + 0.817033i
\(189\) −2.61313 + 2.47529i −0.190077 + 0.180051i
\(190\) −0.156131 0.230276i −0.0113269 0.0167060i
\(191\) −19.1231 + 4.20931i −1.38370 + 0.304575i −0.843575 0.537011i \(-0.819553\pi\)
−0.540123 + 0.841586i \(0.681622\pi\)
\(192\) −2.06269 + 7.42913i −0.148862 + 0.536152i
\(193\) 14.0361 8.44527i 1.01034 0.607904i 0.0887477 0.996054i \(-0.471714\pi\)
0.921596 + 0.388151i \(0.126886\pi\)
\(194\) 0.699727 + 0.823783i 0.0502375 + 0.0591441i
\(195\) −0.592509 + 0.199640i −0.0424305 + 0.0142965i
\(196\) −10.7446 + 4.97097i −0.767469 + 0.355069i
\(197\) 3.95454 7.45905i 0.281749 0.531435i −0.701733 0.712440i \(-0.747590\pi\)
0.983482 + 0.181005i \(0.0579349\pi\)
\(198\) −0.379863 0.0836142i −0.0269957 0.00594220i
\(199\) −8.40846 21.1036i −0.596060 1.49600i −0.848935 0.528498i \(-0.822755\pi\)
0.252875 0.967499i \(-0.418624\pi\)
\(200\) −1.92672 0.649189i −0.136240 0.0459046i
\(201\) −7.18984 + 0.781943i −0.507133 + 0.0551540i
\(202\) −0.00375234 0.0692077i −0.000264013 0.00486944i
\(203\) −1.76607 + 32.5733i −0.123954 + 2.28620i
\(204\) −2.36864 0.257605i −0.165838 0.0180360i
\(205\) 4.05013 + 1.87379i 0.282873 + 0.130871i
\(206\) 0.974618 0.740886i 0.0679049 0.0516199i
\(207\) −2.36630 + 1.79881i −0.164469 + 0.125026i
\(208\) −3.65235 1.68976i −0.253245 0.117164i
\(209\) −14.5260 1.57979i −1.00478 0.109277i
\(210\) −0.0130995 + 0.241606i −0.000903952 + 0.0166724i
\(211\) 0.245052 + 4.51972i 0.0168701 + 0.311150i 0.994774 + 0.102097i \(0.0325553\pi\)
−0.977904 + 0.209053i \(0.932962\pi\)
\(212\) 18.9354 2.05935i 1.30049 0.141437i
\(213\) −1.41194 0.475736i −0.0967442 0.0325969i
\(214\) −0.0596909 0.149813i −0.00408039 0.0102410i
\(215\) −3.29081 0.724362i −0.224431 0.0494011i
\(216\) −0.205793 + 0.388167i −0.0140024 + 0.0264114i
\(217\) −6.40169 + 2.96174i −0.434575 + 0.201056i
\(218\) 1.56783 0.528262i 0.106187 0.0357784i
\(219\) 9.26681 + 10.9097i 0.626193 + 0.737212i
\(220\) 3.66929 2.20774i 0.247384 0.148846i
\(221\) 0.328571 1.18341i 0.0221021 0.0796046i
\(222\) 0.297133 0.0654040i 0.0199423 0.00438963i
\(223\) −0.937385 1.38254i −0.0627719 0.0925817i 0.795008 0.606600i \(-0.207467\pi\)
−0.857779 + 0.514018i \(0.828156\pi\)
\(224\) −3.42677 + 3.24601i −0.228961 + 0.216883i
\(225\) 3.96527 + 2.38582i 0.264351 + 0.159055i
\(226\) −0.0374640 0.228520i −0.00249207 0.0152009i
\(227\) 10.6230 15.6677i 0.705071 1.03990i −0.291453 0.956585i \(-0.594139\pi\)
0.996523 0.0833160i \(-0.0265511\pi\)
\(228\) −3.04518 + 7.64283i −0.201672 + 0.506159i
\(229\) 16.4079 19.3168i 1.08426 1.27649i 0.125559 0.992086i \(-0.459928\pi\)
0.958704 0.284406i \(-0.0917964\pi\)
\(230\) −0.0323262 + 0.197181i −0.00213152 + 0.0130017i
\(231\) 9.22565 + 8.73900i 0.607003 + 0.574984i
\(232\) 1.06524 + 3.83665i 0.0699364 + 0.251888i
\(233\) 1.50328 + 2.83550i 0.0984834 + 0.185759i 0.927858 0.372933i \(-0.121648\pi\)
−0.829375 + 0.558693i \(0.811303\pi\)
\(234\) −0.0898718 0.0683187i −0.00587510 0.00446614i
\(235\) −6.66976 −0.435087
\(236\) −9.71893 + 11.7765i −0.632648 + 0.766587i
\(237\) 1.54227 0.100181
\(238\) −0.378376 0.287634i −0.0245265 0.0186445i
\(239\) 9.17670 + 17.3091i 0.593591 + 1.11963i 0.980316 + 0.197436i \(0.0632616\pi\)
−0.386725 + 0.922195i \(0.626394\pi\)
\(240\) −0.641089 2.30899i −0.0413821 0.149045i
\(241\) −10.0323 9.50309i −0.646236 0.612148i 0.292714 0.956200i \(-0.405442\pi\)
−0.938950 + 0.344052i \(0.888200\pi\)
\(242\) −0.0261008 + 0.159208i −0.00167783 + 0.0102343i
\(243\) 0.647386 0.762162i 0.0415298 0.0488927i
\(244\) 2.20283 5.52868i 0.141022 0.353938i
\(245\) 2.03929 3.00773i 0.130286 0.192157i
\(246\) 0.130356 + 0.795135i 0.00831118 + 0.0506959i
\(247\) −3.63383 2.18640i −0.231215 0.139118i
\(248\) −0.625063 + 0.592091i −0.0396916 + 0.0375978i
\(249\) −3.31606 4.89082i −0.210147 0.309943i
\(250\) 0.632071 0.139129i 0.0399757 0.00879932i
\(251\) −0.618401 + 2.22728i −0.0390331 + 0.140585i −0.980499 0.196523i \(-0.937035\pi\)
0.941466 + 0.337108i \(0.109449\pi\)
\(252\) 6.13087 3.68882i 0.386209 0.232374i
\(253\) 6.79368 + 7.99814i 0.427115 + 0.502839i
\(254\) −1.29555 + 0.436520i −0.0812898 + 0.0273897i
\(255\) 0.663745 0.307081i 0.0415653 0.0192302i
\(256\) 7.04384 13.2861i 0.440240 0.830380i
\(257\) 14.8244 + 3.26310i 0.924722 + 0.203547i 0.651714 0.758465i \(-0.274050\pi\)
0.273008 + 0.962012i \(0.411981\pi\)
\(258\) −0.225193 0.565191i −0.0140199 0.0351873i
\(259\) −9.41969 3.17386i −0.585311 0.197214i
\(260\) 1.23560 0.134380i 0.0766288 0.00833389i
\(261\) −0.490661 9.04970i −0.0303711 0.560163i
\(262\) 0.0168612 0.310986i 0.00104169 0.0192128i
\(263\) 25.8939 + 2.81613i 1.59669 + 0.173650i 0.862773 0.505591i \(-0.168726\pi\)
0.733915 + 0.679242i \(0.237691\pi\)
\(264\) 1.40775 + 0.651293i 0.0866408 + 0.0400843i
\(265\) −4.65434 + 3.53814i −0.285914 + 0.217346i
\(266\) −1.30653 + 0.993200i −0.0801086 + 0.0608970i
\(267\) 15.3592 + 7.10592i 0.939968 + 0.434875i
\(268\) 14.2924 + 1.55439i 0.873049 + 0.0949498i
\(269\) 1.41192 26.0413i 0.0860860 1.58776i −0.562614 0.826720i \(-0.690204\pi\)
0.648700 0.761044i \(-0.275313\pi\)
\(270\) −0.00363938 0.0671244i −0.000221486 0.00408506i
\(271\) 12.3384 1.34188i 0.749504 0.0815135i 0.274609 0.961556i \(-0.411451\pi\)
0.474895 + 0.880042i \(0.342486\pi\)
\(272\) 4.46079 + 1.50302i 0.270475 + 0.0911338i
\(273\) 1.36516 + 3.42630i 0.0826235 + 0.207369i
\(274\) −2.47774 0.545392i −0.149686 0.0329484i
\(275\) 7.65287 14.4349i 0.461486 0.870454i
\(276\) 5.36260 2.48100i 0.322790 0.149339i
\(277\) −18.5738 + 6.25823i −1.11599 + 0.376020i −0.816075 0.577946i \(-0.803854\pi\)
−0.299914 + 0.953966i \(0.596958\pi\)
\(278\) 0.830328 + 0.977538i 0.0497998 + 0.0586288i
\(279\) 1.67916 1.01032i 0.100529 0.0604862i
\(280\) 0.258140 0.929737i 0.0154268 0.0555624i
\(281\) −7.43561 + 1.63670i −0.443571 + 0.0976375i −0.431140 0.902285i \(-0.641888\pi\)
−0.0124319 + 0.999923i \(0.503957\pi\)
\(282\) −0.675821 0.996761i −0.0402446 0.0593563i
\(283\) −8.29610 + 7.85848i −0.493152 + 0.467138i −0.893396 0.449270i \(-0.851684\pi\)
0.400244 + 0.916409i \(0.368925\pi\)
\(284\) 2.53782 + 1.52695i 0.150592 + 0.0906080i
\(285\) −0.408550 2.49205i −0.0242004 0.147616i
\(286\) −0.223667 + 0.329885i −0.0132257 + 0.0195065i
\(287\) 9.74373 24.4549i 0.575154 1.44353i
\(288\) 0.848960 0.999474i 0.0500255 0.0588945i
\(289\) 2.51788 15.3584i 0.148111 0.903435i
\(290\) −0.442307 0.418975i −0.0259732 0.0246031i
\(291\) 2.62464 + 9.45309i 0.153859 + 0.554150i
\(292\) −13.3284 25.1400i −0.779986 1.47121i
\(293\) 24.0432 + 18.2772i 1.40462 + 1.06776i 0.987276 + 0.159015i \(0.0508317\pi\)
0.417343 + 0.908749i \(0.362961\pi\)
\(294\) 0.656124 0.0382659
\(295\) 0.692568 4.63537i 0.0403229 0.269881i
\(296\) −1.21329 −0.0705212
\(297\) −2.81060 2.13656i −0.163088 0.123976i
\(298\) −1.12794 2.12753i −0.0653400 0.123244i
\(299\) 0.814835 + 2.93477i 0.0471231 + 0.169722i
\(300\) −6.67859 6.32629i −0.385588 0.365249i
\(301\) −3.21575 + 19.6152i −0.185353 + 1.13060i
\(302\) 0.191425 0.225363i 0.0110153 0.0129682i
\(303\) 0.232857 0.584428i 0.0133773 0.0335745i
\(304\) 9.12152 13.4532i 0.523155 0.771596i
\(305\) 0.295538 + 1.80270i 0.0169224 + 0.103222i
\(306\) 0.113146 + 0.0680779i 0.00646815 + 0.00389175i
\(307\) −21.2593 + 20.1378i −1.21333 + 1.14933i −0.228919 + 0.973445i \(0.573519\pi\)
−0.984411 + 0.175882i \(0.943722\pi\)
\(308\) −14.1761 20.9082i −0.807759 1.19136i
\(309\) 10.8525 2.38882i 0.617379 0.135895i
\(310\) 0.0352429 0.126934i 0.00200166 0.00720934i
\(311\) −15.0579 + 9.06003i −0.853855 + 0.513747i −0.873930 0.486051i \(-0.838437\pi\)
0.0200758 + 0.999798i \(0.493609\pi\)
\(312\) 0.291449 + 0.343121i 0.0165001 + 0.0194254i
\(313\) 1.68097 0.566384i 0.0950139 0.0320139i −0.271393 0.962469i \(-0.587484\pi\)
0.366407 + 0.930455i \(0.380588\pi\)
\(314\) −0.451710 + 0.208984i −0.0254915 + 0.0117936i
\(315\) −1.02874 + 1.94040i −0.0579628 + 0.109329i
\(316\) −2.99414 0.659061i −0.168434 0.0370751i
\(317\) 1.00637 + 2.52580i 0.0565234 + 0.141863i 0.954527 0.298126i \(-0.0963616\pi\)
−0.898003 + 0.439989i \(0.854982\pi\)
\(318\) −1.00036 0.337061i −0.0560975 0.0189015i
\(319\) −31.8093 + 3.45947i −1.78098 + 0.193693i
\(320\) 0.254698 + 4.69763i 0.0142381 + 0.262605i
\(321\) 0.0792480 1.46164i 0.00442319 0.0815809i
\(322\) 1.17178 + 0.127439i 0.0653007 + 0.00710188i
\(323\) 4.50207 + 2.08288i 0.250502 + 0.115894i
\(324\) −1.58252 + 1.20300i −0.0879180 + 0.0668335i
\(325\) 3.77504 2.86971i 0.209402 0.159183i
\(326\) −0.956278 0.442421i −0.0529633 0.0245034i
\(327\) 14.9289 + 1.62362i 0.825573 + 0.0897864i
\(328\) 0.173960 3.20850i 0.00960534 0.177160i
\(329\) 2.13008 + 39.2869i 0.117435 + 2.16596i
\(330\) −0.235939 + 0.0256599i −0.0129880 + 0.00141253i
\(331\) 3.60783 + 1.21562i 0.198304 + 0.0668165i 0.416701 0.909044i \(-0.363186\pi\)
−0.218397 + 0.975860i \(0.570083\pi\)
\(332\) 4.34775 + 10.9120i 0.238614 + 0.598876i
\(333\) 2.69703 + 0.593661i 0.147796 + 0.0325324i
\(334\) 0.169239 0.319219i 0.00926034 0.0174669i
\(335\) −4.00505 + 1.85293i −0.218819 + 0.101237i
\(336\) −13.3959 + 4.51362i −0.730809 + 0.246238i
\(337\) 23.2166 + 27.3327i 1.26469 + 1.48891i 0.795687 + 0.605709i \(0.207110\pi\)
0.469002 + 0.883197i \(0.344614\pi\)
\(338\) 1.12809 0.678747i 0.0613598 0.0369190i
\(339\) 0.562326 2.02531i 0.0305413 0.110000i
\(340\) −1.41981 + 0.312524i −0.0770001 + 0.0169490i
\(341\) −3.88264 5.72647i −0.210257 0.310106i
\(342\) 0.331026 0.313565i 0.0178999 0.0169556i
\(343\) 3.22132 + 1.93820i 0.173935 + 0.104653i
\(344\) 0.392519 + 2.39426i 0.0211632 + 0.129090i
\(345\) −1.01781 + 1.50115i −0.0547969 + 0.0808195i
\(346\) 0.486805 1.22179i 0.0261708 0.0656837i
\(347\) 11.0729 13.0360i 0.594425 0.699812i −0.379882 0.925035i \(-0.624035\pi\)
0.974307 + 0.225223i \(0.0723112\pi\)
\(348\) −2.91466 + 17.7787i −0.156242 + 0.953036i
\(349\) 5.10275 + 4.83358i 0.273144 + 0.258736i 0.811994 0.583666i \(-0.198382\pi\)
−0.538850 + 0.842402i \(0.681141\pi\)
\(350\) −0.490939 1.76820i −0.0262418 0.0945144i
\(351\) −0.479975 0.905328i −0.0256192 0.0483228i
\(352\) −3.68573 2.80182i −0.196450 0.149337i
\(353\) −26.9522 −1.43452 −0.717259 0.696806i \(-0.754604\pi\)
−0.717259 + 0.696806i \(0.754604\pi\)
\(354\) 0.762907 0.366183i 0.0405480 0.0194624i
\(355\) −0.909112 −0.0482507
\(356\) −26.7816 20.3588i −1.41942 1.07902i
\(357\) −2.02078 3.81159i −0.106951 0.201731i
\(358\) 0.564600 + 2.03350i 0.0298400 + 0.107474i
\(359\) −9.34279 8.84996i −0.493094 0.467083i 0.400283 0.916392i \(-0.368912\pi\)
−0.893377 + 0.449309i \(0.851670\pi\)
\(360\) −0.0433699 + 0.264545i −0.00228579 + 0.0139427i
\(361\) −1.21141 + 1.42619i −0.0637587 + 0.0750625i
\(362\) −0.603166 + 1.51383i −0.0317017 + 0.0795653i
\(363\) −0.821800 + 1.21206i −0.0431333 + 0.0636169i
\(364\) −1.18614 7.23516i −0.0621709 0.379226i
\(365\) 7.48389 + 4.50291i 0.391725 + 0.235693i
\(366\) −0.239458 + 0.226827i −0.0125167 + 0.0118564i
\(367\) −15.2967 22.5610i −0.798483 1.17767i −0.980911 0.194456i \(-0.937706\pi\)
0.182428 0.983219i \(-0.441604\pi\)
\(368\) −11.4006 + 2.50947i −0.594298 + 0.130815i
\(369\) −1.95661 + 7.04707i −0.101857 + 0.366856i
\(370\) 0.159069 0.0957088i 0.00826962 0.00497566i
\(371\) 22.3271 + 26.2855i 1.15917 + 1.36468i
\(372\) −3.69164 + 1.24386i −0.191403 + 0.0644911i
\(373\) 6.97633 3.22759i 0.361221 0.167118i −0.230881 0.972982i \(-0.574161\pi\)
0.592101 + 0.805864i \(0.298299\pi\)
\(374\) 0.218370 0.411889i 0.0112916 0.0212983i
\(375\) 5.73720 + 1.26285i 0.296268 + 0.0652135i
\(376\) 1.77758 + 4.46138i 0.0916714 + 0.230078i
\(377\) −8.80065 2.96528i −0.453257 0.152720i
\(378\) −0.394221 + 0.0428741i −0.0202766 + 0.00220521i
\(379\) −0.788724 14.5472i −0.0405140 0.747237i −0.946258 0.323412i \(-0.895170\pi\)
0.905744 0.423825i \(-0.139313\pi\)
\(380\) −0.271776 + 5.01261i −0.0139418 + 0.257142i
\(381\) −12.3363 1.34165i −0.632007 0.0687349i
\(382\) −1.95786 0.905800i −0.100173 0.0463448i
\(383\) −13.8101 + 10.4982i −0.705663 + 0.536431i −0.895322 0.445419i \(-0.853055\pi\)
0.189660 + 0.981850i \(0.439262\pi\)
\(384\) −2.76417 + 2.10127i −0.141058 + 0.107230i
\(385\) 7.03717 + 3.25574i 0.358647 + 0.165928i
\(386\) 1.79412 + 0.195122i 0.0913184 + 0.00993147i
\(387\) 0.298975 5.51426i 0.0151977 0.280306i
\(388\) −1.05583 19.4737i −0.0536018 0.988627i
\(389\) −30.5482 + 3.32232i −1.54886 + 0.168448i −0.842222 0.539131i \(-0.818753\pi\)
−0.706634 + 0.707579i \(0.749787\pi\)
\(390\) −0.0652771 0.0219944i −0.00330544 0.00111373i
\(391\) −1.31867 3.30961i −0.0666880 0.167374i
\(392\) −2.55536 0.562477i −0.129065 0.0284094i
\(393\) 1.32415 2.49761i 0.0667945 0.125988i
\(394\) 0.844150 0.390545i 0.0425277 0.0196754i
\(395\) 0.891789 0.300479i 0.0448708 0.0151187i
\(396\) 4.54345 + 5.34896i 0.228317 + 0.268795i
\(397\) 7.93304 4.77315i 0.398148 0.239557i −0.302373 0.953190i \(-0.597779\pi\)
0.700521 + 0.713632i \(0.252951\pi\)
\(398\) 0.669558 2.41153i 0.0335619 0.120879i
\(399\) −14.5484 + 3.20235i −0.728333 + 0.160318i
\(400\) 10.1993 + 15.0428i 0.509963 + 0.752139i
\(401\) 22.5525 21.3629i 1.12622 1.06681i 0.129049 0.991638i \(-0.458807\pi\)
0.997170 0.0751738i \(-0.0239512\pi\)
\(402\) −0.682727 0.410783i −0.0340513 0.0204880i
\(403\) −0.324869 1.98161i −0.0161829 0.0987111i
\(404\) −0.701811 + 1.03509i −0.0349164 + 0.0514979i
\(405\) 0.225848 0.566835i 0.0112225 0.0281663i
\(406\) −2.32664 + 2.73913i −0.115469 + 0.135941i
\(407\) 1.57734 9.62135i 0.0781859 0.476913i
\(408\) −0.382302 0.362135i −0.0189268 0.0179284i
\(409\) 4.86633 + 17.5269i 0.240624 + 0.866651i 0.980927 + 0.194377i \(0.0622685\pi\)
−0.740302 + 0.672274i \(0.765318\pi\)
\(410\) 0.230291 + 0.434375i 0.0113733 + 0.0214522i
\(411\) −18.3328 13.9362i −0.904289 0.687423i
\(412\) −22.0898 −1.08828
\(413\) −27.5249 2.59908i −1.35441 0.127892i
\(414\) −0.327470 −0.0160943
\(415\) −2.87032 2.18196i −0.140899 0.107108i
\(416\) −0.629423 1.18722i −0.0308600 0.0582081i
\(417\) 3.11451 + 11.2175i 0.152518 + 0.549322i
\(418\) −1.16869 1.10704i −0.0571624 0.0541471i
\(419\) −1.34207 + 8.18626i −0.0655643 + 0.399925i 0.933573 + 0.358388i \(0.116674\pi\)
−0.999137 + 0.0415366i \(0.986775\pi\)
\(420\) 2.82637 3.32746i 0.137913 0.162364i
\(421\) −0.593519 + 1.48962i −0.0289264 + 0.0725997i −0.942730 0.333556i \(-0.891751\pi\)
0.913804 + 0.406155i \(0.133131\pi\)
\(422\) −0.279848 + 0.412745i −0.0136228 + 0.0200921i
\(423\) −1.76843 10.7870i −0.0859841 0.524480i
\(424\) 3.60708 + 2.17031i 0.175176 + 0.105400i
\(425\) −4.02684 + 3.81443i −0.195330 + 0.185027i
\(426\) −0.0921168 0.135862i −0.00446307 0.00658254i
\(427\) 10.5241 2.31652i 0.509296 0.112104i
\(428\) −0.778457 + 2.80375i −0.0376282 + 0.135524i
\(429\) −3.09983 + 1.86510i −0.149661 + 0.0900481i
\(430\) −0.240329 0.282937i −0.0115897 0.0136444i
\(431\) 7.22039 2.43283i 0.347794 0.117185i −0.139983 0.990154i \(-0.544705\pi\)
0.487776 + 0.872969i \(0.337808\pi\)
\(432\) 3.56434 1.64904i 0.171489 0.0793395i
\(433\) 2.32069 4.37729i 0.111525 0.210359i −0.821466 0.570257i \(-0.806844\pi\)
0.932992 + 0.359898i \(0.117188\pi\)
\(434\) −0.758933 0.167054i −0.0364299 0.00801884i
\(435\) −2.04686 5.13723i −0.0981394 0.246311i
\(436\) −28.2890 9.53169i −1.35480 0.456485i
\(437\) −12.2297 + 1.33006i −0.585026 + 0.0636254i
\(438\) 0.0853773 + 1.57469i 0.00407948 + 0.0752417i
\(439\) −1.11657 + 20.5939i −0.0532908 + 0.982892i 0.842578 + 0.538574i \(0.181037\pi\)
−0.895869 + 0.444318i \(0.853446\pi\)
\(440\) 0.940893 + 0.102328i 0.0448553 + 0.00487831i
\(441\) 5.40509 + 2.50066i 0.257385 + 0.119079i
\(442\) 0.107718 0.0818853i 0.00512364 0.00389489i
\(443\) 25.9804 19.7498i 1.23437 0.938341i 0.234934 0.972011i \(-0.424513\pi\)
0.999433 + 0.0336699i \(0.0107195\pi\)
\(444\) −4.98229 2.30505i −0.236449 0.109393i
\(445\) 10.2656 + 1.11645i 0.486637 + 0.0529249i
\(446\) 0.00996290 0.183755i 0.000471757 0.00870104i
\(447\) −1.18333 21.8253i −0.0559697 1.03230i
\(448\) 27.5891 3.00050i 1.30346 0.141760i
\(449\) 36.0636 + 12.1513i 1.70195 + 0.573453i 0.991478 0.130274i \(-0.0415857\pi\)
0.710470 + 0.703727i \(0.248482\pi\)
\(450\) 0.188710 + 0.473625i 0.00889586 + 0.0223269i
\(451\) 25.2171 + 5.55071i 1.18743 + 0.261373i
\(452\) −1.95717 + 3.69162i −0.0920576 + 0.173639i
\(453\) 2.43585 1.12695i 0.114446 0.0529485i
\(454\) 1.97630 0.665893i 0.0927524 0.0312519i
\(455\) 1.45692 + 1.71522i 0.0683016 + 0.0804109i
\(456\) −1.55804 + 0.937439i −0.0729617 + 0.0438996i
\(457\) −9.13864 + 32.9144i −0.427488 + 1.53967i 0.365723 + 0.930724i \(0.380822\pi\)
−0.793210 + 0.608948i \(0.791592\pi\)
\(458\) 2.72697 0.600251i 0.127423 0.0280479i
\(459\) 0.672626 + 0.992050i 0.0313955 + 0.0463049i
\(460\) 2.61745 2.47938i 0.122039 0.115602i
\(461\) −7.48377 4.50283i −0.348554 0.209718i 0.330501 0.943806i \(-0.392782\pi\)
−0.679055 + 0.734088i \(0.737610\pi\)
\(462\) 0.226495 + 1.38156i 0.0105375 + 0.0642760i
\(463\) −11.2644 + 16.6137i −0.523499 + 0.772103i −0.993892 0.110354i \(-0.964802\pi\)
0.470394 + 0.882457i \(0.344112\pi\)
\(464\) 13.1744 33.0653i 0.611608 1.53502i
\(465\) 0.774105 0.911347i 0.0358983 0.0422627i
\(466\) −0.0572022 + 0.348918i −0.00264984 + 0.0161633i
\(467\) −6.30194 5.96951i −0.291619 0.276236i 0.527877 0.849321i \(-0.322988\pi\)
−0.819496 + 0.573085i \(0.805747\pi\)
\(468\) 0.544941 + 1.96270i 0.0251899 + 0.0907259i
\(469\) 12.1934 + 22.9992i 0.563039 + 1.06200i
\(470\) −0.584979 0.444689i −0.0269831 0.0205120i
\(471\) −4.51764 −0.208162
\(472\) −3.28516 + 0.772127i −0.151212 + 0.0355400i
\(473\) −19.4967 −0.896458
\(474\) 0.135267 + 0.102827i 0.00621300 + 0.00472300i
\(475\) 8.97123 + 16.9215i 0.411628 + 0.776413i
\(476\) 2.29430 + 8.26332i 0.105159 + 0.378748i
\(477\) −6.95626 6.58932i −0.318505 0.301704i
\(478\) −0.349187 + 2.12994i −0.0159714 + 0.0974214i
\(479\) −6.83750 + 8.04973i −0.312413 + 0.367802i −0.895850 0.444358i \(-0.853432\pi\)
0.583436 + 0.812159i \(0.301708\pi\)
\(480\) 0.296169 0.743329i 0.0135182 0.0339282i
\(481\) 1.58804 2.34218i 0.0724083 0.106794i
\(482\) −0.246299 1.50236i −0.0112186 0.0684304i
\(483\) 9.16731 + 5.51579i 0.417127 + 0.250977i
\(484\) 2.11339 2.00190i 0.0960630 0.0909957i
\(485\) 3.35938 + 4.95472i 0.152542 + 0.224982i
\(486\) 0.107595 0.0236834i 0.00488060 0.00107430i
\(487\) −8.08231 + 29.1098i −0.366244 + 1.31909i 0.519322 + 0.854579i \(0.326185\pi\)
−0.885566 + 0.464514i \(0.846229\pi\)
\(488\) 1.12705 0.678126i 0.0510194 0.0306973i
\(489\) −6.19154 7.28925i −0.279991 0.329631i
\(490\) 0.379391 0.127832i 0.0171392 0.00577485i
\(491\) 17.1177 7.91950i 0.772512 0.357402i 0.00629199 0.999980i \(-0.497997\pi\)
0.766220 + 0.642578i \(0.222135\pi\)
\(492\) 6.80997 12.8450i 0.307017 0.579096i
\(493\) 10.6087 + 2.33516i 0.477794 + 0.105170i
\(494\) −0.172936 0.434037i −0.00778077 0.0195283i
\(495\) −2.04144 0.687842i −0.0917560 0.0309162i
\(496\) 7.65116 0.832114i 0.343547 0.0373630i
\(497\) 0.290337 + 5.35495i 0.0130234 + 0.240202i
\(498\) 0.0352444 0.650044i 0.00157934 0.0291292i
\(499\) 1.85049 + 0.201252i 0.0828391 + 0.00900930i 0.149445 0.988770i \(-0.452251\pi\)
−0.0666056 + 0.997779i \(0.521217\pi\)
\(500\) −10.5985 4.90338i −0.473978 0.219286i
\(501\) 2.61080 1.98468i 0.116642 0.0886689i
\(502\) −0.202736 + 0.154116i −0.00904854 + 0.00687852i
\(503\) −23.9343 11.0732i −1.06718 0.493729i −0.193935 0.981014i \(-0.562125\pi\)
−0.873243 + 0.487286i \(0.837987\pi\)
\(504\) 1.57210 + 0.170976i 0.0700269 + 0.00761588i
\(505\) 0.0207820 0.383302i 0.000924788 0.0170567i
\(506\) 0.0625917 + 1.15444i 0.00278254 + 0.0513210i
\(507\) 11.8800 1.29202i 0.527607 0.0573807i
\(508\) 23.3762 + 7.87635i 1.03715 + 0.349456i
\(509\) −10.7651 27.0184i −0.477155 1.19757i −0.948828 0.315795i \(-0.897729\pi\)
0.471673 0.881774i \(-0.343650\pi\)
\(510\) 0.0786883 + 0.0173206i 0.00348438 + 0.000766969i
\(511\) 24.1334 45.5205i 1.06760 2.01371i
\(512\) 7.80611 3.61149i 0.344985 0.159607i
\(513\) 3.92204 1.32149i 0.173162 0.0583452i
\(514\) 1.08263 + 1.27457i 0.0477529 + 0.0562191i
\(515\) 5.80986 3.49568i 0.256013 0.154038i
\(516\) −2.93684 + 10.5776i −0.129287 + 0.465651i
\(517\) −37.6894 + 8.29607i −1.65758 + 0.364861i
\(518\) −0.614555 0.906401i −0.0270020 0.0398250i
\(519\) 8.66681 8.20964i 0.380431 0.360363i
\(520\) 0.235375 + 0.141620i 0.0103219 + 0.00621047i
\(521\) −0.187351 1.14279i −0.00820797 0.0500664i 0.982405 0.186763i \(-0.0597997\pi\)
−0.990613 + 0.136697i \(0.956351\pi\)
\(522\) 0.560332 0.826428i 0.0245251 0.0361717i
\(523\) 5.16239 12.9566i 0.225736 0.566554i −0.771865 0.635786i \(-0.780676\pi\)
0.997601 + 0.0692330i \(0.0220552\pi\)
\(524\) −3.63799 + 4.28298i −0.158926 + 0.187103i
\(525\) 2.69477 16.4374i 0.117609 0.717386i
\(526\) 2.08330 + 1.97340i 0.0908360 + 0.0860445i
\(527\) 0.628377 + 2.26321i 0.0273725 + 0.0985869i
\(528\) −6.49467 12.2502i −0.282644 0.533123i
\(529\) −11.2766 8.57222i −0.490286 0.372705i
\(530\) −0.644110 −0.0279783
\(531\) 7.68037 0.108943i 0.333300 0.00472773i
\(532\) 29.6126 1.28387
\(533\) 5.96611 + 4.53532i 0.258421 + 0.196447i
\(534\) 0.873326 + 1.64727i 0.0377925 + 0.0712842i
\(535\) −0.238946 0.860607i −0.0103306 0.0372073i
\(536\) 2.30681 + 2.18513i 0.0996392 + 0.0943833i
\(537\) −3.09910 + 18.9037i −0.133736 + 0.815753i
\(538\) 1.86007 2.18984i 0.0801932 0.0944107i
\(539\) 7.78251 19.5326i 0.335216 0.841330i
\(540\) −0.680685 + 1.00394i −0.0292920 + 0.0432025i
\(541\) 5.76288 + 35.1520i 0.247765 + 1.51130i 0.758562 + 0.651601i \(0.225902\pi\)
−0.510797 + 0.859702i \(0.670649\pi\)
\(542\) 1.17162 + 0.704940i 0.0503254 + 0.0302798i
\(543\) −10.7384 + 10.1720i −0.460831 + 0.436522i
\(544\) 0.882060 + 1.30094i 0.0378180 + 0.0557774i
\(545\) 8.94871 1.96976i 0.383321 0.0843753i
\(546\) −0.108707 + 0.391527i −0.00465222 + 0.0167558i
\(547\) −16.8736 + 10.1525i −0.721465 + 0.434091i −0.828372 0.560178i \(-0.810733\pi\)
0.106908 + 0.994269i \(0.465905\pi\)
\(548\) 29.6356 + 34.8898i 1.26597 + 1.49042i
\(549\) −2.83713 + 0.955942i −0.121086 + 0.0407986i
\(550\) 1.63361 0.755789i 0.0696574 0.0322269i
\(551\) 17.5695 33.1396i 0.748486 1.41179i
\(552\) 1.27538 + 0.280731i 0.0542836 + 0.0119487i
\(553\) −2.05472 5.15695i −0.0873754 0.219296i
\(554\) −2.04628 0.689473i −0.0869382 0.0292929i
\(555\) 1.67517 0.182186i 0.0711070 0.00773335i
\(556\) −1.25290 23.1084i −0.0531348 0.980014i
\(557\) −1.07774 + 19.8778i −0.0456655 + 0.842251i 0.882552 + 0.470214i \(0.155823\pi\)
−0.928218 + 0.372037i \(0.878659\pi\)
\(558\) 0.214633 + 0.0233428i 0.00908614 + 0.000988177i
\(559\) −5.13572 2.37604i −0.217218 0.100496i
\(560\) −6.86657 + 5.21983i −0.290166 + 0.220578i
\(561\) 3.36873 2.56084i 0.142228 0.108119i
\(562\) −0.761271 0.352202i −0.0321123 0.0148567i
\(563\) 0.0619912 + 0.00674195i 0.00261262 + 0.000284139i 0.109425 0.993995i \(-0.465099\pi\)
−0.106813 + 0.994279i \(0.534064\pi\)
\(564\) −1.17640 + 21.6974i −0.0495353 + 0.913624i
\(565\) −0.0694352 1.28066i −0.00292116 0.0538776i
\(566\) −1.25156 + 0.136116i −0.0526071 + 0.00572136i
\(567\) −3.41096 1.14929i −0.143247 0.0482655i
\(568\) 0.242290 + 0.608102i 0.0101663 + 0.0255154i
\(569\) −7.46458 1.64308i −0.312932 0.0688814i 0.0557279 0.998446i \(-0.482252\pi\)
−0.368659 + 0.929565i \(0.620183\pi\)
\(570\) 0.130318 0.245807i 0.00545844 0.0102957i
\(571\) 43.2404 20.0051i 1.80956 0.837189i 0.871833 0.489804i \(-0.162932\pi\)
0.937722 0.347385i \(-0.112930\pi\)
\(572\) 6.81499 2.29624i 0.284949 0.0960105i
\(573\) −12.6764 14.9238i −0.529564 0.623451i
\(574\) 2.48505 1.49521i 0.103724 0.0624087i
\(575\) 3.67994 13.2539i 0.153464 0.552727i
\(576\) −7.52991 + 1.65746i −0.313746 + 0.0690608i
\(577\) −15.2449 22.4846i −0.634655 0.936046i −0.999987 0.00516878i \(-0.998355\pi\)
0.365332 0.930877i \(-0.380956\pi\)
\(578\) 1.24481 1.17915i 0.0517774 0.0490462i
\(579\) 14.0361 + 8.44527i 0.583322 + 0.350973i
\(580\) 1.77845 + 10.8480i 0.0738459 + 0.450440i
\(581\) −11.9357 + 17.6039i −0.495178 + 0.730333i
\(582\) −0.400064 + 1.00408i −0.0165832 + 0.0416206i
\(583\) −21.8998 + 25.7825i −0.906999 + 1.06780i
\(584\) 1.01743 6.20603i 0.0421014 0.256807i
\(585\) −0.453920 0.429976i −0.0187673 0.0177773i
\(586\) 0.890152 + 3.20604i 0.0367718 + 0.132440i
\(587\) 11.5787 + 21.8397i 0.477903 + 0.901420i 0.998855 + 0.0478346i \(0.0152320\pi\)
−0.520953 + 0.853586i \(0.674423\pi\)
\(588\) −9.42476 7.16452i −0.388670 0.295460i
\(589\) 8.11049 0.334187
\(590\) 0.369794 0.360375i 0.0152242 0.0148364i
\(591\) 8.44250 0.347278
\(592\) 8.63416 + 6.56352i 0.354862 + 0.269759i
\(593\) 3.96723 + 7.48300i 0.162915 + 0.307290i 0.951507 0.307626i \(-0.0995347\pi\)
−0.788592 + 0.614916i \(0.789190\pi\)
\(594\) −0.104057 0.374779i −0.00426951 0.0153774i
\(595\) −1.91108 1.81028i −0.0783468 0.0742141i
\(596\) −7.02932 + 42.8770i −0.287932 + 1.75631i
\(597\) 14.7067 17.3141i 0.601906 0.708619i
\(598\) −0.124202 + 0.311724i −0.00507901 + 0.0127473i
\(599\) 6.62004 9.76383i 0.270488 0.398939i −0.668050 0.744116i \(-0.732871\pi\)
0.938538 + 0.345177i \(0.112181\pi\)
\(600\) −0.328928 2.00637i −0.0134284 0.0819097i
\(601\) 38.4690 + 23.1460i 1.56918 + 0.944145i 0.991818 + 0.127658i \(0.0407459\pi\)
0.577363 + 0.816488i \(0.304082\pi\)
\(602\) −1.58984 + 1.50597i −0.0647969 + 0.0613788i
\(603\) −4.05864 5.98605i −0.165281 0.243771i
\(604\) −5.21052 + 1.14692i −0.212013 + 0.0466676i
\(605\) −0.239045 + 0.860964i −0.00971858 + 0.0350032i
\(606\) 0.0593883 0.0357327i 0.00241248 0.00145154i
\(607\) −13.3720 15.7427i −0.542751 0.638976i 0.420591 0.907250i \(-0.361823\pi\)
−0.963343 + 0.268274i \(0.913547\pi\)
\(608\) 5.14323 1.73296i 0.208586 0.0702807i
\(609\) −29.6062 + 13.6973i −1.19970 + 0.555041i
\(610\) −0.0942699 + 0.177812i −0.00381688 + 0.00719940i
\(611\) −10.9390 2.40786i −0.442545 0.0974114i
\(612\) −0.881894 2.21339i −0.0356485 0.0894709i
\(613\) −30.9970 10.4441i −1.25196 0.421833i −0.386254 0.922392i \(-0.626231\pi\)
−0.865702 + 0.500559i \(0.833128\pi\)
\(614\) −3.20721 + 0.348805i −0.129432 + 0.0140766i
\(615\) 0.241599 + 4.45604i 0.00974223 + 0.179685i
\(616\) 0.302259 5.57483i 0.0121783 0.224616i
\(617\) −15.4501 1.68030i −0.621997 0.0676463i −0.208306 0.978064i \(-0.566795\pi\)
−0.413691 + 0.910417i \(0.635761\pi\)
\(618\) 1.11110 + 0.514050i 0.0446950 + 0.0206781i
\(619\) 13.6885 10.4058i 0.550189 0.418243i −0.292800 0.956174i \(-0.594587\pi\)
0.842989 + 0.537931i \(0.180794\pi\)
\(620\) −1.89228 + 1.43848i −0.0759960 + 0.0577706i
\(621\) −2.69767 1.24807i −0.108254 0.0500835i
\(622\) −1.92472 0.209326i −0.0771743 0.00839322i
\(623\) 3.29779 60.8241i 0.132123 2.43687i
\(624\) −0.217871 4.01840i −0.00872182 0.160865i
\(625\) −19.4393 + 2.11416i −0.777574 + 0.0845662i
\(626\) 0.185193 + 0.0623989i 0.00740181 + 0.00249396i
\(627\) −5.40832 13.5739i −0.215988 0.542088i
\(628\) 8.77049 + 1.93053i 0.349981 + 0.0770366i
\(629\) −1.55043 + 2.92441i −0.0618195 + 0.116604i
\(630\) −0.219598 + 0.101597i −0.00874899 + 0.00404771i
\(631\) 6.28192 2.11663i 0.250079 0.0842616i −0.191470 0.981498i \(-0.561326\pi\)
0.441550 + 0.897237i \(0.354429\pi\)
\(632\) −0.438662 0.516433i −0.0174490 0.0205426i
\(633\) −3.87844 + 2.33358i −0.154154 + 0.0927515i
\(634\) −0.0801364 + 0.288625i −0.00318262 + 0.0114628i
\(635\) −7.39461 + 1.62768i −0.293446 + 0.0645924i
\(636\) 10.6890 + 15.7651i 0.423845 + 0.625125i
\(637\) 4.43045 4.19674i 0.175541 0.166281i
\(638\) −3.02052 1.81739i −0.119584 0.0719510i
\(639\) −0.241044 1.47030i −0.00953554 0.0581642i
\(640\) −1.18894 + 1.75356i −0.0469970 + 0.0693154i
\(641\) 0.829442 2.08174i 0.0327610 0.0822239i −0.911686 0.410887i \(-0.865219\pi\)
0.944447 + 0.328664i \(0.106598\pi\)
\(642\) 0.104402 0.122911i 0.00412041 0.00485092i
\(643\) −4.93577 + 30.1069i −0.194648 + 1.18730i 0.690969 + 0.722884i \(0.257184\pi\)
−0.885617 + 0.464416i \(0.846264\pi\)
\(644\) −15.4402 14.6258i −0.608430 0.576336i
\(645\) −0.901461 3.24677i −0.0354950 0.127841i
\(646\) 0.255988 + 0.482845i 0.0100717 + 0.0189973i
\(647\) −6.69078 5.08620i −0.263042 0.199959i 0.465337 0.885133i \(-0.345933\pi\)
−0.728379 + 0.685174i \(0.759726\pi\)
\(648\) −0.439345 −0.0172591
\(649\) −1.85206 27.0549i −0.0726999 1.06200i
\(650\) 0.522425 0.0204912
\(651\) −5.61533 4.26866i −0.220082 0.167302i
\(652\) 8.90526 + 16.7971i 0.348757 + 0.657825i
\(653\) −12.1427 43.7341i −0.475181 1.71145i −0.680495 0.732753i \(-0.738235\pi\)
0.205314 0.978696i \(-0.434179\pi\)
\(654\) 1.20111 + 1.13775i 0.0469671 + 0.0444896i
\(655\) 0.279058 1.70218i 0.0109037 0.0665096i
\(656\) −18.5949 + 21.8916i −0.726009 + 0.854724i
\(657\) −5.29823 + 13.2976i −0.206704 + 0.518787i
\(658\) −2.43254 + 3.58772i −0.0948301 + 0.139864i
\(659\) 6.85355 + 41.8048i 0.266976 + 1.62848i 0.691015 + 0.722840i \(0.257164\pi\)
−0.424039 + 0.905644i \(0.639388\pi\)
\(660\) 3.66929 + 2.20774i 0.142827 + 0.0859362i
\(661\) −4.41461 + 4.18174i −0.171709 + 0.162651i −0.768728 0.639576i \(-0.779110\pi\)
0.597020 + 0.802227i \(0.296351\pi\)
\(662\) 0.235380 + 0.347160i 0.00914832 + 0.0134928i
\(663\) 1.19946 0.264021i 0.0465832 0.0102537i
\(664\) −0.694529 + 2.50147i −0.0269529 + 0.0970757i
\(665\) −7.78845 + 4.68616i −0.302023 + 0.181721i
\(666\) 0.196965 + 0.231885i 0.00763224 + 0.00898537i
\(667\) −25.5286 + 8.60159i −0.988472 + 0.333055i
\(668\) −5.91669 + 2.73735i −0.228924 + 0.105911i
\(669\) 0.782411 1.47578i 0.0302498 0.0570571i
\(670\) −0.474807 0.104513i −0.0183434 0.00403768i
\(671\) 3.91228 + 9.81908i 0.151032 + 0.379061i
\(672\) −4.47302 1.50714i −0.172551 0.0581390i
\(673\) 0.282560 0.0307302i 0.0108919 0.00118456i −0.102671 0.994715i \(-0.532739\pi\)
0.113563 + 0.993531i \(0.463774\pi\)
\(674\) 0.213900 + 3.94515i 0.00823911 + 0.151961i
\(675\) −0.250538 + 4.62090i −0.00964322 + 0.177859i
\(676\) −23.6157 2.56836i −0.908297 0.0987832i
\(677\) 13.0029 + 6.01577i 0.499741 + 0.231205i 0.653533 0.756898i \(-0.273286\pi\)
−0.153791 + 0.988103i \(0.549148\pi\)
\(678\) 0.184352 0.140141i 0.00707999 0.00538207i
\(679\) 28.1119 21.3701i 1.07884 0.820111i
\(680\) −0.291613 0.134915i −0.0111829 0.00517374i
\(681\) 18.8185 + 2.04663i 0.721126 + 0.0784271i
\(682\) 0.0412663 0.761111i 0.00158017 0.0291445i
\(683\) 0.450692 + 8.31253i 0.0172453 + 0.318070i 0.994410 + 0.105587i \(0.0336722\pi\)
−0.977165 + 0.212483i \(0.931845\pi\)
\(684\) −8.17892 + 0.889511i −0.312729 + 0.0340113i
\(685\) −13.3158 4.48660i −0.508769 0.171424i
\(686\) 0.153305 + 0.384766i 0.00585320 + 0.0146904i
\(687\) 24.7522 + 5.44838i 0.944357 + 0.207869i
\(688\) 10.1589 19.1617i 0.387304 0.730533i
\(689\) −8.91083 + 4.12259i −0.339476 + 0.157058i
\(690\) −0.189354 + 0.0638007i −0.00720857 + 0.00242885i
\(691\) −13.2679 15.6202i −0.504735 0.594219i 0.449499 0.893281i \(-0.351602\pi\)
−0.954234 + 0.299061i \(0.903327\pi\)
\(692\) −20.3339 + 12.2345i −0.772978 + 0.465085i
\(693\) −3.39964 + 12.2444i −0.129142 + 0.465126i
\(694\) 1.84031 0.405082i 0.0698571 0.0153767i
\(695\) 3.98640 + 5.87949i 0.151213 + 0.223022i
\(696\) −2.89076 + 2.73827i −0.109574 + 0.103794i
\(697\) −7.51119 4.51933i −0.284507 0.171182i
\(698\) 0.125276 + 0.764147i 0.00474175 + 0.0289234i
\(699\) −1.80104 + 2.65634i −0.0681217 + 0.100472i
\(700\) −12.2558 + 30.7598i −0.463226 + 1.16261i
\(701\) 15.7331 18.5225i 0.594233 0.699585i −0.380037 0.924971i \(-0.624089\pi\)
0.974269 + 0.225387i \(0.0723645\pi\)
\(702\) 0.0182637 0.111404i 0.000689320 0.00420467i
\(703\) 8.29768 + 7.85998i 0.312953 + 0.296445i
\(704\) 7.28231 + 26.2285i 0.274463 + 0.988525i
\(705\) −3.12417 5.89282i −0.117663 0.221936i
\(706\) −2.36387 1.79697i −0.0889653 0.0676297i
\(707\) −2.26440 −0.0851617
\(708\) −14.9571 3.07057i −0.562124 0.115399i
\(709\) −17.3979 −0.653392 −0.326696 0.945129i \(-0.605935\pi\)
−0.326696 + 0.945129i \(0.605935\pi\)
\(710\) −0.0797347 0.0606127i −0.00299239 0.00227475i
\(711\) 0.722413 + 1.36261i 0.0270926 + 0.0511020i
\(712\) −1.98912 7.16417i −0.0745455 0.268489i
\(713\) −4.22887 4.00580i −0.158372 0.150018i
\(714\) 0.0768935 0.469030i 0.00287767 0.0175530i
\(715\) −1.42904 + 1.68240i −0.0534431 + 0.0629181i
\(716\) 14.0947 35.3750i 0.526743 1.32202i
\(717\) −10.9943 + 16.2154i −0.410591 + 0.605577i
\(718\) −0.229371 1.39910i −0.00856005 0.0522140i
\(719\) −21.9137 13.1851i −0.817244 0.491720i 0.0445320 0.999008i \(-0.485820\pi\)
−0.861776 + 0.507288i \(0.830648\pi\)
\(720\) 1.73973 1.64796i 0.0648360 0.0614159i
\(721\) −22.4461 33.1055i −0.835935 1.23291i
\(722\) −0.201336 + 0.0443174i −0.00749294 + 0.00164932i
\(723\) 3.69688 13.3150i 0.137489 0.495189i
\(724\) 25.1943 15.1589i 0.936338 0.563376i
\(725\) 27.1519 + 31.9656i 1.00839 + 1.18717i
\(726\) −0.152888 + 0.0515140i −0.00567421 + 0.00191186i
\(727\) −36.2949 + 16.7918i −1.34611 + 0.622775i −0.954735 0.297459i \(-0.903861\pi\)
−0.391370 + 0.920233i \(0.627999\pi\)
\(728\) 0.759018 1.43166i 0.0281311 0.0530608i
\(729\) 0.976621 + 0.214970i 0.0361711 + 0.00796187i
\(730\) 0.356163 + 0.893902i 0.0131822 + 0.0330848i
\(731\) 6.27250 + 2.11345i 0.231997 + 0.0781688i
\(732\) 5.91648 0.643456i 0.218679 0.0237828i
\(733\) 0.729710 + 13.4587i 0.0269524 + 0.497109i 0.980580 + 0.196119i \(0.0628340\pi\)
−0.953628 + 0.300989i \(0.902683\pi\)
\(734\) 0.162580 2.99861i 0.00600093 0.110681i
\(735\) 3.61259 + 0.392893i 0.133252 + 0.0144921i
\(736\) −3.53763 1.63668i −0.130399 0.0603289i
\(737\) −20.3270 + 15.4521i −0.748753 + 0.569187i
\(738\) −0.641451 + 0.487619i −0.0236121 + 0.0179495i
\(739\) 35.2121 + 16.2908i 1.29530 + 0.599268i 0.941802 0.336168i \(-0.109131\pi\)
0.353495 + 0.935436i \(0.384993\pi\)
\(740\) −3.33001 0.362160i −0.122413 0.0133133i
\(741\) 0.229597 4.23467i 0.00843445 0.155564i
\(742\) 0.205705 + 3.79400i 0.00755167 + 0.139282i
\(743\) −15.7856 + 1.71679i −0.579118 + 0.0629829i −0.392990 0.919543i \(-0.628559\pi\)
−0.186128 + 0.982526i \(0.559594\pi\)
\(744\) −0.815905 0.274910i −0.0299125 0.0100787i
\(745\) −4.93643 12.3895i −0.180857 0.453916i
\(746\) 0.827058 + 0.182049i 0.0302807 + 0.00666529i
\(747\) 2.76783 5.22068i 0.101270 0.191015i
\(748\) −7.63433 + 3.53202i −0.279139 + 0.129143i
\(749\) −4.99293 + 1.68231i −0.182438 + 0.0614704i
\(750\) 0.418990 + 0.493273i 0.0152994 + 0.0180118i
\(751\) −26.9594 + 16.2209i −0.983763 + 0.591910i −0.914026 0.405655i \(-0.867043\pi\)
−0.0697363 + 0.997565i \(0.522216\pi\)
\(752\) 11.4848 41.3646i 0.418809 1.50841i
\(753\) −2.25749 + 0.496912i −0.0822676 + 0.0181085i
\(754\) −0.574168 0.846834i −0.0209100 0.0308399i
\(755\) 1.18893 1.12621i 0.0432694 0.0409870i
\(756\) 6.13087 + 3.68882i 0.222978 + 0.134161i
\(757\) 4.15817 + 25.3637i 0.151131 + 0.921860i 0.948131 + 0.317880i \(0.102971\pi\)
−0.797000 + 0.603980i \(0.793581\pi\)
\(758\) 0.900718 1.32846i 0.0327156 0.0482518i
\(759\) −3.88424 + 9.74870i −0.140989 + 0.353855i
\(760\) −0.718265 + 0.845607i −0.0260542 + 0.0306734i
\(761\) −2.96677 + 18.0965i −0.107545 + 0.655998i 0.876949 + 0.480583i \(0.159575\pi\)
−0.984495 + 0.175415i \(0.943873\pi\)
\(762\) −0.992515 0.940161i −0.0359550 0.0340584i
\(763\) −14.4604 52.0816i −0.523501 1.88548i
\(764\) 18.2324 + 34.3899i 0.659624 + 1.24418i
\(765\) 0.582214 + 0.442587i 0.0210500 + 0.0160018i
\(766\) −1.91117 −0.0690532
\(767\) 2.80929 7.35239i 0.101438 0.265479i
\(768\) 15.0378 0.542630
\(769\) −28.5913 21.7345i −1.03103 0.783767i −0.0543593 0.998521i \(-0.517312\pi\)
−0.976668 + 0.214755i \(0.931105\pi\)
\(770\) 0.400134 + 0.754733i 0.0144198 + 0.0271987i
\(771\) 4.06089 + 14.6260i 0.146250 + 0.526743i