Properties

Label 91.2.f.c.29.2
Level $91$
Weight $2$
Character 91.29
Analytic conductor $0.727$
Analytic rank $0$
Dimension $8$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 91 = 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 91.f (of order \(3\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.726638658394\)
Analytic rank: \(0\)
Dimension: \(8\)
Relative dimension: \(4\) over \(\Q(\zeta_{3})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{8} - \cdots)\)
Defining polynomial: \(x^{8} - x^{7} + 7 x^{6} + 38 x^{4} - 16 x^{3} + 15 x^{2} + 3 x + 1\)
Coefficient ring: \(\Z[a_1, \ldots, a_{5}]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{3}]$

Embedding invariants

Embedding label 29.2
Root \(-0.115680 - 0.200364i\) of defining polynomial
Character \(\chi\) \(=\) 91.29
Dual form 91.2.f.c.22.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.115680 - 0.200364i) q^{2} +(1.66113 + 2.87716i) q^{3} +(0.973236 - 1.68569i) q^{4} -2.23136 q^{5} +(0.384320 - 0.665661i) q^{6} +(0.500000 - 0.866025i) q^{7} -0.913059 q^{8} +(-4.01868 + 6.96056i) q^{9} +O(q^{10})\) \(q+(-0.115680 - 0.200364i) q^{2} +(1.66113 + 2.87716i) q^{3} +(0.973236 - 1.68569i) q^{4} -2.23136 q^{5} +(0.384320 - 0.665661i) q^{6} +(0.500000 - 0.866025i) q^{7} -0.913059 q^{8} +(-4.01868 + 6.96056i) q^{9} +(0.258125 + 0.447085i) q^{10} +(-1.66113 - 2.87716i) q^{11} +6.46667 q^{12} +(3.40300 - 1.19146i) q^{13} -0.231361 q^{14} +(-3.70657 - 6.41997i) q^{15} +(-1.84085 - 3.18844i) q^{16} +(0.687890 - 1.19146i) q^{17} +1.85953 q^{18} +(-1.61766 + 2.80186i) q^{19} +(-2.17164 + 3.76139i) q^{20} +3.32225 q^{21} +(-0.384320 + 0.665661i) q^{22} +(-0.419251 - 0.726164i) q^{23} +(-1.51671 - 2.62701i) q^{24} -0.0210289 q^{25} +(-0.632387 - 0.544012i) q^{26} -16.7354 q^{27} +(-0.973236 - 1.68569i) q^{28} +(0.303571 + 0.525800i) q^{29} +(-0.857556 + 1.48533i) q^{30} +1.71511 q^{31} +(-1.33896 + 2.31915i) q^{32} +(5.51868 - 9.55864i) q^{33} -0.318302 q^{34} +(-1.11568 + 1.93242i) q^{35} +(7.82225 + 13.5485i) q^{36} +(-0.776807 - 1.34547i) q^{37} +0.748524 q^{38} +(9.08083 + 7.81180i) q^{39} +2.03736 q^{40} +(4.58892 + 7.94824i) q^{41} +(-0.384320 - 0.665661i) q^{42} +(-0.615680 + 1.06639i) q^{43} -6.46667 q^{44} +(8.96713 - 15.5315i) q^{45} +(-0.0969983 + 0.168006i) q^{46} -1.62817 q^{47} +(6.11577 - 10.5928i) q^{48} +(-0.500000 - 0.866025i) q^{49} +(0.00243263 + 0.00421343i) q^{50} +4.57069 q^{51} +(1.30348 - 6.89599i) q^{52} +8.39607 q^{53} +(1.93596 + 3.35318i) q^{54} +(3.70657 + 6.41997i) q^{55} +(-0.456530 + 0.790732i) q^{56} -10.7485 q^{57} +(0.0702344 - 0.121650i) q^{58} +(-4.41117 + 7.64037i) q^{59} -14.4295 q^{60} +(-2.73334 + 4.73428i) q^{61} +(-0.198405 - 0.343647i) q^{62} +(4.01868 + 6.96056i) q^{63} -6.74383 q^{64} +(-7.59332 + 2.65858i) q^{65} -2.55361 q^{66} +(5.09287 + 8.82111i) q^{67} +(-1.33896 - 2.31915i) q^{68} +(1.39286 - 2.41250i) q^{69} +0.516249 q^{70} +(2.60714 - 4.51570i) q^{71} +(3.66929 - 6.35540i) q^{72} -3.96355 q^{73} +(-0.179723 + 0.311289i) q^{74} +(-0.0349316 - 0.0605033i) q^{75} +(3.14872 + 5.45375i) q^{76} -3.32225 q^{77} +(0.514731 - 2.72315i) q^{78} +6.45051 q^{79} +(4.10760 + 7.11457i) q^{80} +(-15.7436 - 27.2687i) q^{81} +(1.06170 - 1.83891i) q^{82} -4.64055 q^{83} +(3.23334 - 5.60030i) q^{84} +(-1.53493 + 2.65858i) q^{85} +0.284889 q^{86} +(-1.00854 + 1.74684i) q^{87} +(1.51671 + 2.62701i) q^{88} +(-4.56413 - 7.90530i) q^{89} -4.14929 q^{90} +(0.669665 - 3.54282i) q^{91} -1.63212 q^{92} +(2.84902 + 4.93464i) q^{93} +(0.188347 + 0.326227i) q^{94} +(3.60957 - 6.25197i) q^{95} -8.89672 q^{96} +(7.67944 - 13.3012i) q^{97} +(-0.115680 + 0.200364i) q^{98} +26.7022 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 8q + q^{2} - q^{3} - 5q^{4} - 14q^{5} + 5q^{6} + 4q^{7} - 12q^{8} - 7q^{9} + O(q^{10}) \) \( 8q + q^{2} - q^{3} - 5q^{4} - 14q^{5} + 5q^{6} + 4q^{7} - 12q^{8} - 7q^{9} + 11q^{10} + q^{11} + 24q^{12} + 4q^{13} + 2q^{14} - 3q^{15} - 19q^{16} + 4q^{17} - 6q^{18} - q^{19} + 2q^{20} - 2q^{21} - 5q^{22} + 2q^{23} + 3q^{24} + 10q^{25} + 12q^{26} - 52q^{27} + 5q^{28} - q^{29} + 4q^{30} - 8q^{31} + 33q^{32} + 19q^{33} + 6q^{34} - 7q^{35} + 34q^{36} + 10q^{37} - 46q^{38} + 20q^{39} - 34q^{40} + 22q^{41} - 5q^{42} - 3q^{43} - 24q^{44} + 11q^{45} - 24q^{46} + 4q^{47} - 11q^{48} - 4q^{49} - 43q^{50} + 14q^{51} + 65q^{52} + 4q^{53} - 5q^{54} + 3q^{55} - 6q^{56} - 34q^{57} + 11q^{58} + 8q^{59} - 22q^{60} - 8q^{61} + 5q^{62} + 7q^{63} + 28q^{64} + 7q^{65} + 12q^{66} + 6q^{67} + 33q^{68} + 18q^{69} + 22q^{70} + 14q^{71} - 5q^{72} - 16q^{73} - 20q^{74} + 7q^{75} - 32q^{76} + 2q^{77} - q^{78} - 52q^{79} - 7q^{80} - 24q^{81} + 14q^{82} + 12q^{84} - 5q^{85} + 24q^{86} - 13q^{87} - 3q^{88} + q^{89} + 52q^{90} - 4q^{91} + 24q^{92} + 7q^{93} - 33q^{94} - 21q^{95} - 116q^{96} - 3q^{97} + q^{98} + 46q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/91\mathbb{Z}\right)^\times\).

\(n\) \(15\) \(66\)
\(\chi(n)\) \(e\left(\frac{1}{3}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.115680 0.200364i −0.0817984 0.141679i 0.822224 0.569164i \(-0.192733\pi\)
−0.904022 + 0.427485i \(0.859400\pi\)
\(3\) 1.66113 + 2.87716i 0.959052 + 1.66113i 0.724811 + 0.688948i \(0.241927\pi\)
0.234241 + 0.972179i \(0.424740\pi\)
\(4\) 0.973236 1.68569i 0.486618 0.842847i
\(5\) −2.23136 −0.997895 −0.498947 0.866632i \(-0.666280\pi\)
−0.498947 + 0.866632i \(0.666280\pi\)
\(6\) 0.384320 0.665661i 0.156898 0.271755i
\(7\) 0.500000 0.866025i 0.188982 0.327327i
\(8\) −0.913059 −0.322815
\(9\) −4.01868 + 6.96056i −1.33956 + 2.32019i
\(10\) 0.258125 + 0.447085i 0.0816262 + 0.141381i
\(11\) −1.66113 2.87716i −0.500848 0.867495i −1.00000 0.000980003i \(-0.999688\pi\)
0.499151 0.866515i \(-0.333645\pi\)
\(12\) 6.46667 1.86677
\(13\) 3.40300 1.19146i 0.943823 0.330452i
\(14\) −0.231361 −0.0618338
\(15\) −3.70657 6.41997i −0.957033 1.65763i
\(16\) −1.84085 3.18844i −0.460212 0.797111i
\(17\) 0.687890 1.19146i 0.166838 0.288972i −0.770469 0.637478i \(-0.779978\pi\)
0.937306 + 0.348506i \(0.113311\pi\)
\(18\) 1.85953 0.438296
\(19\) −1.61766 + 2.80186i −0.371116 + 0.642791i −0.989737 0.142898i \(-0.954358\pi\)
0.618622 + 0.785689i \(0.287691\pi\)
\(20\) −2.17164 + 3.76139i −0.485594 + 0.841073i
\(21\) 3.32225 0.724975
\(22\) −0.384320 + 0.665661i −0.0819372 + 0.141919i
\(23\) −0.419251 0.726164i −0.0874199 0.151416i 0.819000 0.573794i \(-0.194529\pi\)
−0.906420 + 0.422378i \(0.861196\pi\)
\(24\) −1.51671 2.62701i −0.309596 0.536237i
\(25\) −0.0210289 −0.00420577
\(26\) −0.632387 0.544012i −0.124021 0.106689i
\(27\) −16.7354 −3.22073
\(28\) −0.973236 1.68569i −0.183924 0.318566i
\(29\) 0.303571 + 0.525800i 0.0563717 + 0.0976386i 0.892834 0.450386i \(-0.148713\pi\)
−0.836462 + 0.548024i \(0.815380\pi\)
\(30\) −0.857556 + 1.48533i −0.156568 + 0.271183i
\(31\) 1.71511 0.308043 0.154022 0.988067i \(-0.450777\pi\)
0.154022 + 0.988067i \(0.450777\pi\)
\(32\) −1.33896 + 2.31915i −0.236697 + 0.409971i
\(33\) 5.51868 9.55864i 0.960679 1.66395i
\(34\) −0.318302 −0.0545883
\(35\) −1.11568 + 1.93242i −0.188584 + 0.326638i
\(36\) 7.82225 + 13.5485i 1.30371 + 2.25809i
\(37\) −0.776807 1.34547i −0.127706 0.221194i 0.795081 0.606503i \(-0.207428\pi\)
−0.922788 + 0.385309i \(0.874095\pi\)
\(38\) 0.748524 0.121427
\(39\) 9.08083 + 7.81180i 1.45410 + 1.25089i
\(40\) 2.03736 0.322136
\(41\) 4.58892 + 7.94824i 0.716668 + 1.24131i 0.962313 + 0.271946i \(0.0876672\pi\)
−0.245644 + 0.969360i \(0.578999\pi\)
\(42\) −0.384320 0.665661i −0.0593018 0.102714i
\(43\) −0.615680 + 1.06639i −0.0938904 + 0.162623i −0.909145 0.416480i \(-0.863264\pi\)
0.815255 + 0.579103i \(0.196597\pi\)
\(44\) −6.46667 −0.974888
\(45\) 8.96713 15.5315i 1.33674 2.31530i
\(46\) −0.0969983 + 0.168006i −0.0143016 + 0.0247711i
\(47\) −1.62817 −0.237493 −0.118747 0.992925i \(-0.537888\pi\)
−0.118747 + 0.992925i \(0.537888\pi\)
\(48\) 6.11577 10.5928i 0.882735 1.52894i
\(49\) −0.500000 0.866025i −0.0714286 0.123718i
\(50\) 0.00243263 + 0.00421343i 0.000344025 + 0.000595870i
\(51\) 4.57069 0.640025
\(52\) 1.30348 6.89599i 0.180761 0.956302i
\(53\) 8.39607 1.15329 0.576644 0.816995i \(-0.304362\pi\)
0.576644 + 0.816995i \(0.304362\pi\)
\(54\) 1.93596 + 3.35318i 0.263450 + 0.456310i
\(55\) 3.70657 + 6.41997i 0.499794 + 0.865669i
\(56\) −0.456530 + 0.790732i −0.0610063 + 0.105666i
\(57\) −10.7485 −1.42368
\(58\) 0.0702344 0.121650i 0.00922223 0.0159734i
\(59\) −4.41117 + 7.64037i −0.574285 + 0.994691i 0.421834 + 0.906673i \(0.361387\pi\)
−0.996119 + 0.0880181i \(0.971947\pi\)
\(60\) −14.4295 −1.86284
\(61\) −2.73334 + 4.73428i −0.349968 + 0.606162i −0.986243 0.165300i \(-0.947141\pi\)
0.636276 + 0.771462i \(0.280474\pi\)
\(62\) −0.198405 0.343647i −0.0251974 0.0436432i
\(63\) 4.01868 + 6.96056i 0.506306 + 0.876948i
\(64\) −6.74383 −0.842979
\(65\) −7.59332 + 2.65858i −0.941836 + 0.329756i
\(66\) −2.55361 −0.314328
\(67\) 5.09287 + 8.82111i 0.622193 + 1.07767i 0.989077 + 0.147403i \(0.0470913\pi\)
−0.366884 + 0.930267i \(0.619575\pi\)
\(68\) −1.33896 2.31915i −0.162373 0.281238i
\(69\) 1.39286 2.41250i 0.167680 0.290431i
\(70\) 0.516249 0.0617036
\(71\) 2.60714 4.51570i 0.309411 0.535915i −0.668823 0.743422i \(-0.733202\pi\)
0.978234 + 0.207507i \(0.0665349\pi\)
\(72\) 3.66929 6.35540i 0.432430 0.748992i
\(73\) −3.96355 −0.463898 −0.231949 0.972728i \(-0.574510\pi\)
−0.231949 + 0.972728i \(0.574510\pi\)
\(74\) −0.179723 + 0.311289i −0.0208923 + 0.0361866i
\(75\) −0.0349316 0.0605033i −0.00403355 0.00698632i
\(76\) 3.14872 + 5.45375i 0.361183 + 0.625588i
\(77\) −3.32225 −0.378606
\(78\) 0.514731 2.72315i 0.0582818 0.308336i
\(79\) 6.45051 0.725739 0.362869 0.931840i \(-0.381797\pi\)
0.362869 + 0.931840i \(0.381797\pi\)
\(80\) 4.10760 + 7.11457i 0.459243 + 0.795433i
\(81\) −15.7436 27.2687i −1.74929 3.02985i
\(82\) 1.06170 1.83891i 0.117245 0.203074i
\(83\) −4.64055 −0.509367 −0.254684 0.967024i \(-0.581971\pi\)
−0.254684 + 0.967024i \(0.581971\pi\)
\(84\) 3.23334 5.60030i 0.352786 0.611043i
\(85\) −1.53493 + 2.65858i −0.166487 + 0.288363i
\(86\) 0.284889 0.0307203
\(87\) −1.00854 + 1.74684i −0.108127 + 0.187281i
\(88\) 1.51671 + 2.62701i 0.161681 + 0.280041i
\(89\) −4.56413 7.90530i −0.483797 0.837960i 0.516030 0.856570i \(-0.327409\pi\)
−0.999827 + 0.0186101i \(0.994076\pi\)
\(90\) −4.14929 −0.437373
\(91\) 0.669665 3.54282i 0.0702000 0.371388i
\(92\) −1.63212 −0.170160
\(93\) 2.84902 + 4.93464i 0.295429 + 0.511699i
\(94\) 0.188347 + 0.326227i 0.0194266 + 0.0336478i
\(95\) 3.60957 6.25197i 0.370334 0.641438i
\(96\) −8.89672 −0.908018
\(97\) 7.67944 13.3012i 0.779729 1.35053i −0.152369 0.988324i \(-0.548690\pi\)
0.932098 0.362206i \(-0.117976\pi\)
\(98\) −0.115680 + 0.200364i −0.0116855 + 0.0202399i
\(99\) 26.7022 2.68367
\(100\) −0.0204660 + 0.0354482i −0.00204660 + 0.00354482i
\(101\) 3.97521 + 6.88527i 0.395548 + 0.685110i 0.993171 0.116668i \(-0.0372212\pi\)
−0.597623 + 0.801777i \(0.703888\pi\)
\(102\) −0.528739 0.915804i −0.0523530 0.0906781i
\(103\) 0.694825 0.0684631 0.0342316 0.999414i \(-0.489102\pi\)
0.0342316 + 0.999414i \(0.489102\pi\)
\(104\) −3.10714 + 1.08787i −0.304680 + 0.106675i
\(105\) −7.41314 −0.723449
\(106\) −0.971261 1.68227i −0.0943372 0.163397i
\(107\) −4.47324 7.74787i −0.432444 0.749015i 0.564639 0.825338i \(-0.309015\pi\)
−0.997083 + 0.0763228i \(0.975682\pi\)
\(108\) −16.2875 + 28.2108i −1.56726 + 2.71458i
\(109\) −2.27268 −0.217683 −0.108841 0.994059i \(-0.534714\pi\)
−0.108841 + 0.994059i \(0.534714\pi\)
\(110\) 0.857556 1.48533i 0.0817647 0.141621i
\(111\) 2.58075 4.46999i 0.244954 0.424272i
\(112\) −3.68170 −0.347888
\(113\) 4.75239 8.23138i 0.447067 0.774343i −0.551126 0.834422i \(-0.685802\pi\)
0.998194 + 0.0600786i \(0.0191351\pi\)
\(114\) 1.24339 + 2.15362i 0.116454 + 0.201705i
\(115\) 0.935501 + 1.62033i 0.0872359 + 0.151097i
\(116\) 1.18178 0.109726
\(117\) −5.38234 + 28.4749i −0.497598 + 2.63251i
\(118\) 2.04114 0.187902
\(119\) −0.687890 1.19146i −0.0630588 0.109221i
\(120\) 3.38432 + 5.86181i 0.308945 + 0.535108i
\(121\) −0.0186821 + 0.0323584i −0.00169837 + 0.00294167i
\(122\) 1.26477 0.114507
\(123\) −15.2455 + 26.4061i −1.37464 + 2.38095i
\(124\) 1.66921 2.89115i 0.149899 0.259633i
\(125\) 11.2037 1.00209
\(126\) 0.929766 1.61040i 0.0828301 0.143466i
\(127\) −9.21672 15.9638i −0.817851 1.41656i −0.907262 0.420565i \(-0.861832\pi\)
0.0894111 0.995995i \(-0.471502\pi\)
\(128\) 3.45805 + 5.98951i 0.305651 + 0.529403i
\(129\) −4.09089 −0.360183
\(130\) 1.41108 + 1.21389i 0.123760 + 0.106465i
\(131\) −1.74835 −0.152754 −0.0763771 0.997079i \(-0.524335\pi\)
−0.0763771 + 0.997079i \(0.524335\pi\)
\(132\) −10.7420 18.6056i −0.934968 1.61941i
\(133\) 1.61766 + 2.80186i 0.140269 + 0.242952i
\(134\) 1.17829 2.04086i 0.101789 0.176303i
\(135\) 37.3427 3.21395
\(136\) −0.628085 + 1.08787i −0.0538578 + 0.0932845i
\(137\) 9.00160 15.5912i 0.769059 1.33205i −0.169015 0.985614i \(-0.554059\pi\)
0.938074 0.346436i \(-0.112608\pi\)
\(138\) −0.644506 −0.0548640
\(139\) −6.95896 + 12.0533i −0.590251 + 1.02235i 0.403947 + 0.914782i \(0.367638\pi\)
−0.994198 + 0.107563i \(0.965695\pi\)
\(140\) 2.17164 + 3.76139i 0.183537 + 0.317896i
\(141\) −2.70460 4.68450i −0.227768 0.394506i
\(142\) −1.20638 −0.101237
\(143\) −9.08083 7.81180i −0.759378 0.653255i
\(144\) 29.5911 2.46593
\(145\) −0.677376 1.17325i −0.0562530 0.0974331i
\(146\) 0.458505 + 0.794154i 0.0379462 + 0.0657247i
\(147\) 1.66113 2.87716i 0.137007 0.237304i
\(148\) −3.02407 −0.248577
\(149\) 7.96515 13.7961i 0.652531 1.13022i −0.329976 0.943989i \(-0.607041\pi\)
0.982507 0.186227i \(-0.0596261\pi\)
\(150\) −0.00808180 + 0.0139981i −0.000659876 + 0.00114294i
\(151\) −13.9497 −1.13521 −0.567604 0.823301i \(-0.692130\pi\)
−0.567604 + 0.823301i \(0.692130\pi\)
\(152\) 1.47702 2.55827i 0.119802 0.207503i
\(153\) 5.52883 + 9.57621i 0.446979 + 0.774190i
\(154\) 0.384320 + 0.665661i 0.0309694 + 0.0536405i
\(155\) −3.82703 −0.307395
\(156\) 22.0061 7.70479i 1.76190 0.616877i
\(157\) −12.9747 −1.03549 −0.517745 0.855535i \(-0.673229\pi\)
−0.517745 + 0.855535i \(0.673229\pi\)
\(158\) −0.746198 1.29245i −0.0593643 0.102822i
\(159\) 13.9469 + 24.1568i 1.10606 + 1.91576i
\(160\) 2.98770 5.17485i 0.236199 0.409108i
\(161\) −0.838502 −0.0660832
\(162\) −3.64244 + 6.30890i −0.286177 + 0.495674i
\(163\) −9.20423 + 15.9422i −0.720931 + 1.24869i 0.239697 + 0.970848i \(0.422952\pi\)
−0.960627 + 0.277841i \(0.910381\pi\)
\(164\) 17.8644 1.39498
\(165\) −12.3142 + 21.3288i −0.958657 + 1.66044i
\(166\) 0.536821 + 0.929802i 0.0416654 + 0.0721666i
\(167\) 9.24967 + 16.0209i 0.715761 + 1.23973i 0.962665 + 0.270695i \(0.0872534\pi\)
−0.246904 + 0.969040i \(0.579413\pi\)
\(168\) −3.03341 −0.234033
\(169\) 10.1608 8.10909i 0.781603 0.623776i
\(170\) 0.710246 0.0544734
\(171\) −13.0017 22.5196i −0.994264 1.72212i
\(172\) 1.19840 + 2.07570i 0.0913775 + 0.158270i
\(173\) 8.59906 14.8940i 0.653774 1.13237i −0.328425 0.944530i \(-0.606518\pi\)
0.982200 0.187840i \(-0.0601488\pi\)
\(174\) 0.466673 0.0353784
\(175\) −0.0105144 + 0.0182115i −0.000794816 + 0.00137666i
\(176\) −6.11577 + 10.5928i −0.460993 + 0.798464i
\(177\) −29.3100 −2.20308
\(178\) −1.05596 + 1.82898i −0.0791476 + 0.137088i
\(179\) −7.24431 12.5475i −0.541465 0.937845i −0.998820 0.0485608i \(-0.984537\pi\)
0.457355 0.889284i \(-0.348797\pi\)
\(180\) −17.4543 30.2317i −1.30096 2.25334i
\(181\) 6.85484 0.509516 0.254758 0.967005i \(-0.418004\pi\)
0.254758 + 0.967005i \(0.418004\pi\)
\(182\) −0.787321 + 0.275657i −0.0583601 + 0.0204331i
\(183\) −18.1617 −1.34255
\(184\) 0.382801 + 0.663031i 0.0282205 + 0.0488793i
\(185\) 1.73334 + 3.00223i 0.127437 + 0.220728i
\(186\) 0.659151 1.14168i 0.0483313 0.0837122i
\(187\) −4.57069 −0.334242
\(188\) −1.58459 + 2.74460i −0.115568 + 0.200170i
\(189\) −8.36770 + 14.4933i −0.608661 + 1.05423i
\(190\) −1.67023 −0.121171
\(191\) 1.42581 2.46958i 0.103168 0.178693i −0.809820 0.586678i \(-0.800435\pi\)
0.912988 + 0.407986i \(0.133769\pi\)
\(192\) −11.2024 19.4030i −0.808460 1.40029i
\(193\) 5.02525 + 8.70398i 0.361725 + 0.626526i 0.988245 0.152879i \(-0.0488546\pi\)
−0.626520 + 0.779406i \(0.715521\pi\)
\(194\) −3.55344 −0.255122
\(195\) −20.2626 17.4309i −1.45104 1.24826i
\(196\) −1.94647 −0.139034
\(197\) 12.7085 + 22.0119i 0.905447 + 1.56828i 0.820317 + 0.571910i \(0.193797\pi\)
0.0851299 + 0.996370i \(0.472869\pi\)
\(198\) −3.08892 5.35016i −0.219520 0.380219i
\(199\) 6.22328 10.7790i 0.441157 0.764106i −0.556619 0.830768i \(-0.687902\pi\)
0.997776 + 0.0666623i \(0.0212350\pi\)
\(200\) 0.0192006 0.00135769
\(201\) −16.9198 + 29.3059i −1.19343 + 2.06708i
\(202\) 0.919708 1.59298i 0.0647104 0.112082i
\(203\) 0.607142 0.0426130
\(204\) 4.44836 7.70479i 0.311448 0.539443i
\(205\) −10.2395 17.7354i −0.715160 1.23869i
\(206\) −0.0803776 0.139218i −0.00560017 0.00969979i
\(207\) 6.73935 0.468417
\(208\) −10.0633 8.65698i −0.697766 0.600254i
\(209\) 10.7485 0.743491
\(210\) 0.857556 + 1.48533i 0.0591770 + 0.102498i
\(211\) 12.1961 + 21.1243i 0.839617 + 1.45426i 0.890215 + 0.455540i \(0.150554\pi\)
−0.0505979 + 0.998719i \(0.516113\pi\)
\(212\) 8.17136 14.1532i 0.561211 0.972046i
\(213\) 17.3232 1.18696
\(214\) −1.03493 + 1.79255i −0.0707465 + 0.122536i
\(215\) 1.37381 2.37950i 0.0936927 0.162281i
\(216\) 15.2804 1.03970
\(217\) 0.857556 1.48533i 0.0582147 0.100831i
\(218\) 0.262904 + 0.455363i 0.0178061 + 0.0308411i
\(219\) −6.58396 11.4037i −0.444903 0.770594i
\(220\) 14.4295 0.972835
\(221\) 0.921313 4.87414i 0.0619742 0.327870i
\(222\) −1.19417 −0.0801473
\(223\) −11.3247 19.6149i −0.758357 1.31351i −0.943688 0.330837i \(-0.892669\pi\)
0.185331 0.982676i \(-0.440664\pi\)
\(224\) 1.33896 + 2.31915i 0.0894630 + 0.154954i
\(225\) 0.0845083 0.146373i 0.00563389 0.00975818i
\(226\) −2.19903 −0.146278
\(227\) −0.642530 + 1.11289i −0.0426462 + 0.0738654i −0.886561 0.462612i \(-0.846912\pi\)
0.843914 + 0.536478i \(0.180246\pi\)
\(228\) −10.4609 + 18.1187i −0.692787 + 1.19994i
\(229\) −4.64451 −0.306918 −0.153459 0.988155i \(-0.549041\pi\)
−0.153459 + 0.988155i \(0.549041\pi\)
\(230\) 0.216438 0.374882i 0.0142715 0.0247190i
\(231\) −5.51868 9.55864i −0.363103 0.628912i
\(232\) −0.277178 0.480086i −0.0181976 0.0315192i
\(233\) 11.8877 0.778790 0.389395 0.921071i \(-0.372684\pi\)
0.389395 + 0.921071i \(0.372684\pi\)
\(234\) 6.32799 2.21556i 0.413674 0.144836i
\(235\) 3.63304 0.236993
\(236\) 8.58622 + 14.8718i 0.558915 + 0.968070i
\(237\) 10.7151 + 18.5591i 0.696021 + 1.20554i
\(238\) −0.159151 + 0.275657i −0.0103162 + 0.0178682i
\(239\) −4.17783 −0.270242 −0.135121 0.990829i \(-0.543142\pi\)
−0.135121 + 0.990829i \(0.543142\pi\)
\(240\) −13.6465 + 23.6364i −0.880877 + 1.52572i
\(241\) −2.01671 + 3.49304i −0.129907 + 0.225006i −0.923641 0.383260i \(-0.874801\pi\)
0.793733 + 0.608266i \(0.208135\pi\)
\(242\) 0.00864462 0.000555697
\(243\) 27.2010 47.1135i 1.74495 3.02233i
\(244\) 5.32036 + 9.21514i 0.340601 + 0.589939i
\(245\) 1.11568 + 1.93242i 0.0712782 + 0.123457i
\(246\) 7.05444 0.449775
\(247\) −2.16658 + 11.4621i −0.137856 + 0.729317i
\(248\) −1.56600 −0.0994410
\(249\) −7.70855 13.3516i −0.488509 0.846123i
\(250\) −1.29605 2.24483i −0.0819695 0.141975i
\(251\) −13.9343 + 24.1348i −0.879523 + 1.52338i −0.0276571 + 0.999617i \(0.508805\pi\)
−0.851866 + 0.523760i \(0.824529\pi\)
\(252\) 15.6445 0.985511
\(253\) −1.39286 + 2.41250i −0.0875683 + 0.151673i
\(254\) −2.13239 + 3.69340i −0.133798 + 0.231745i
\(255\) −10.1989 −0.638678
\(256\) −5.94377 + 10.2949i −0.371486 + 0.643432i
\(257\) 3.57032 + 6.18398i 0.222710 + 0.385746i 0.955630 0.294569i \(-0.0951762\pi\)
−0.732920 + 0.680315i \(0.761843\pi\)
\(258\) 0.473236 + 0.819669i 0.0294624 + 0.0510304i
\(259\) −1.55361 −0.0965369
\(260\) −2.90855 + 15.3874i −0.180380 + 0.954289i
\(261\) −4.87982 −0.302053
\(262\) 0.202250 + 0.350308i 0.0124951 + 0.0216421i
\(263\) −10.6596 18.4630i −0.657300 1.13848i −0.981312 0.192423i \(-0.938365\pi\)
0.324012 0.946053i \(-0.394968\pi\)
\(264\) −5.03888 + 8.72760i −0.310122 + 0.537147i
\(265\) −18.7347 −1.15086
\(266\) 0.374262 0.648241i 0.0229475 0.0397462i
\(267\) 15.1632 26.2634i 0.927972 1.60729i
\(268\) 19.8263 1.21108
\(269\) −1.39438 + 2.41513i −0.0850167 + 0.147253i −0.905398 0.424563i \(-0.860428\pi\)
0.820382 + 0.571816i \(0.193761\pi\)
\(270\) −4.31982 7.48215i −0.262896 0.455349i
\(271\) 7.73737 + 13.4015i 0.470012 + 0.814085i 0.999412 0.0342877i \(-0.0109163\pi\)
−0.529400 + 0.848372i \(0.677583\pi\)
\(272\) −5.06521 −0.307123
\(273\) 11.3056 3.95833i 0.684248 0.239569i
\(274\) −4.16524 −0.251631
\(275\) 0.0349316 + 0.0605033i 0.00210645 + 0.00364849i
\(276\) −2.71116 4.69587i −0.163193 0.282658i
\(277\) −2.76477 + 4.78873i −0.166119 + 0.287727i −0.937052 0.349189i \(-0.886457\pi\)
0.770933 + 0.636916i \(0.219790\pi\)
\(278\) 3.22006 0.193127
\(279\) −6.89249 + 11.9381i −0.412642 + 0.714718i
\(280\) 1.01868 1.76441i 0.0608779 0.105444i
\(281\) −31.4871 −1.87836 −0.939182 0.343419i \(-0.888415\pi\)
−0.939182 + 0.343419i \(0.888415\pi\)
\(282\) −0.625738 + 1.08381i −0.0372621 + 0.0645399i
\(283\) 3.67559 + 6.36631i 0.218491 + 0.378438i 0.954347 0.298700i \(-0.0965531\pi\)
−0.735856 + 0.677138i \(0.763220\pi\)
\(284\) −5.07473 8.78969i −0.301130 0.521572i
\(285\) 23.9838 1.42068
\(286\) −0.514731 + 2.72315i −0.0304367 + 0.161023i
\(287\) 9.17783 0.541750
\(288\) −10.7617 18.6398i −0.634140 1.09836i
\(289\) 7.55361 + 13.0832i 0.444330 + 0.769603i
\(290\) −0.156718 + 0.271444i −0.00920281 + 0.0159397i
\(291\) 51.0261 2.99120
\(292\) −3.85747 + 6.68133i −0.225741 + 0.390995i
\(293\) 6.76675 11.7204i 0.395318 0.684710i −0.597824 0.801627i \(-0.703968\pi\)
0.993142 + 0.116917i \(0.0373012\pi\)
\(294\) −0.768639 −0.0448279
\(295\) 9.84291 17.0484i 0.573076 0.992597i
\(296\) 0.709271 + 1.22849i 0.0412255 + 0.0714047i
\(297\) 27.7996 + 48.1503i 1.61310 + 2.79397i
\(298\) −3.68565 −0.213504
\(299\) −2.29191 1.97162i −0.132545 0.114022i
\(300\) −0.135987 −0.00785120
\(301\) 0.615680 + 1.06639i 0.0354872 + 0.0614657i
\(302\) 1.61370 + 2.79502i 0.0928583 + 0.160835i
\(303\) −13.2067 + 22.8746i −0.758703 + 1.31411i
\(304\) 11.9114 0.683168
\(305\) 6.09906 10.5639i 0.349231 0.604886i
\(306\) 1.27915 2.21556i 0.0731243 0.126655i
\(307\) −3.30609 −0.188688 −0.0943442 0.995540i \(-0.530075\pi\)
−0.0943442 + 0.995540i \(0.530075\pi\)
\(308\) −3.23334 + 5.60030i −0.184236 + 0.319107i
\(309\) 1.15419 + 1.99912i 0.0656597 + 0.113726i
\(310\) 0.442713 + 0.766801i 0.0251444 + 0.0435514i
\(311\) −34.3063 −1.94533 −0.972665 0.232214i \(-0.925403\pi\)
−0.972665 + 0.232214i \(0.925403\pi\)
\(312\) −8.29134 7.13263i −0.469405 0.403806i
\(313\) 7.21428 0.407775 0.203888 0.978994i \(-0.434642\pi\)
0.203888 + 0.978994i \(0.434642\pi\)
\(314\) 1.50091 + 2.59966i 0.0847015 + 0.146707i
\(315\) −8.96713 15.5315i −0.505241 0.875102i
\(316\) 6.27787 10.8736i 0.353158 0.611687i
\(317\) −8.04040 −0.451594 −0.225797 0.974174i \(-0.572499\pi\)
−0.225797 + 0.974174i \(0.572499\pi\)
\(318\) 3.22677 5.58893i 0.180948 0.313412i
\(319\) 1.00854 1.74684i 0.0564673 0.0978043i
\(320\) 15.0479 0.841204
\(321\) 14.8612 25.7404i 0.829472 1.43669i
\(322\) 0.0969983 + 0.168006i 0.00540550 + 0.00936261i
\(323\) 2.22554 + 3.85475i 0.123832 + 0.214484i
\(324\) −61.2888 −3.40493
\(325\) −0.0715613 + 0.0250551i −0.00396950 + 0.00138981i
\(326\) 4.25899 0.235884
\(327\) −3.77520 6.53884i −0.208769 0.361599i
\(328\) −4.18995 7.25721i −0.231351 0.400712i
\(329\) −0.814085 + 1.41004i −0.0448820 + 0.0777379i
\(330\) 5.69803 0.313666
\(331\) −0.446843 + 0.773955i −0.0245607 + 0.0425404i −0.878045 0.478579i \(-0.841152\pi\)
0.853484 + 0.521119i \(0.174485\pi\)
\(332\) −4.51636 + 7.82256i −0.247867 + 0.429319i
\(333\) 12.4870 0.684281
\(334\) 2.14001 3.70661i 0.117096 0.202817i
\(335\) −11.3640 19.6831i −0.620883 1.07540i
\(336\) −6.11577 10.5928i −0.333642 0.577886i
\(337\) 15.0717 0.821007 0.410504 0.911859i \(-0.365353\pi\)
0.410504 + 0.911859i \(0.365353\pi\)
\(338\) −2.80018 1.09781i −0.152310 0.0597129i
\(339\) 31.5773 1.71504
\(340\) 2.98770 + 5.17485i 0.162031 + 0.280646i
\(341\) −2.84902 4.93464i −0.154283 0.267226i
\(342\) −3.00808 + 5.21015i −0.162658 + 0.281733i
\(343\) −1.00000 −0.0539949
\(344\) 0.562153 0.973677i 0.0303092 0.0524971i
\(345\) −3.10797 + 5.38316i −0.167327 + 0.289820i
\(346\) −3.97897 −0.213911
\(347\) 8.20818 14.2170i 0.440638 0.763207i −0.557099 0.830446i \(-0.688086\pi\)
0.997737 + 0.0672387i \(0.0214189\pi\)
\(348\) 1.96309 + 3.40018i 0.105233 + 0.182269i
\(349\) −17.1861 29.7672i −0.919950 1.59340i −0.799488 0.600682i \(-0.794896\pi\)
−0.120462 0.992718i \(-0.538438\pi\)
\(350\) 0.00486525 0.000260059
\(351\) −56.9506 + 19.9396i −3.03980 + 1.06430i
\(352\) 8.89672 0.474197
\(353\) 11.9581 + 20.7121i 0.636467 + 1.10239i 0.986202 + 0.165545i \(0.0529383\pi\)
−0.349735 + 0.936849i \(0.613728\pi\)
\(354\) 3.39060 + 5.87269i 0.180208 + 0.312130i
\(355\) −5.81747 + 10.0762i −0.308759 + 0.534787i
\(356\) −17.7679 −0.941697
\(357\) 2.28535 3.95833i 0.120953 0.209497i
\(358\) −1.67605 + 2.90300i −0.0885819 + 0.153428i
\(359\) −6.17875 −0.326102 −0.163051 0.986618i \(-0.552133\pi\)
−0.163051 + 0.986618i \(0.552133\pi\)
\(360\) −8.18752 + 14.1812i −0.431520 + 0.747415i
\(361\) 4.26638 + 7.38958i 0.224546 + 0.388925i
\(362\) −0.792970 1.37347i −0.0416776 0.0721877i
\(363\) −0.124133 −0.00651531
\(364\) −5.32036 4.57685i −0.278863 0.239892i
\(365\) 8.84411 0.462922
\(366\) 2.10095 + 3.63895i 0.109818 + 0.190211i
\(367\) −9.92798 17.1958i −0.518236 0.897612i −0.999776 0.0211872i \(-0.993255\pi\)
0.481539 0.876425i \(-0.340078\pi\)
\(368\) −1.54356 + 2.67352i −0.0804634 + 0.139367i
\(369\) −73.7656 −3.84008
\(370\) 0.401026 0.694598i 0.0208484 0.0361104i
\(371\) 4.19803 7.27121i 0.217951 0.377502i
\(372\) 11.0911 0.575045
\(373\) −15.0975 + 26.1497i −0.781721 + 1.35398i 0.149217 + 0.988804i \(0.452325\pi\)
−0.930938 + 0.365176i \(0.881009\pi\)
\(374\) 0.528739 + 0.915804i 0.0273405 + 0.0473551i
\(375\) 18.6108 + 32.2349i 0.961058 + 1.66460i
\(376\) 1.48662 0.0766664
\(377\) 1.65952 + 1.42761i 0.0854697 + 0.0735254i
\(378\) 3.87192 0.199150
\(379\) 2.16121 + 3.74333i 0.111014 + 0.192282i 0.916179 0.400768i \(-0.131257\pi\)
−0.805165 + 0.593050i \(0.797923\pi\)
\(380\) −7.02594 12.1693i −0.360423 0.624271i
\(381\) 30.6203 53.0358i 1.56872 2.71711i
\(382\) −0.659755 −0.0337560
\(383\) 8.67407 15.0239i 0.443224 0.767687i −0.554702 0.832049i \(-0.687168\pi\)
0.997927 + 0.0643617i \(0.0205011\pi\)
\(384\) −11.4885 + 19.8987i −0.586271 + 1.01545i
\(385\) 7.41314 0.377809
\(386\) 1.16264 2.01376i 0.0591771 0.102498i
\(387\) −4.94845 8.57096i −0.251544 0.435687i
\(388\) −14.9478 25.8904i −0.758860 1.31438i
\(389\) −25.3474 −1.28516 −0.642582 0.766217i \(-0.722137\pi\)
−0.642582 + 0.766217i \(0.722137\pi\)
\(390\) −1.14855 + 6.07632i −0.0581591 + 0.307687i
\(391\) −1.15360 −0.0583398
\(392\) 0.456530 + 0.790732i 0.0230582 + 0.0399380i
\(393\) −2.90423 5.03028i −0.146499 0.253744i
\(394\) 2.94026 5.09268i 0.148128 0.256566i
\(395\) −14.3934 −0.724211
\(396\) 25.9875 45.0117i 1.30592 2.26192i
\(397\) 13.5375 23.4476i 0.679425 1.17680i −0.295729 0.955272i \(-0.595563\pi\)
0.975154 0.221527i \(-0.0711041\pi\)
\(398\) −2.87965 −0.144344
\(399\) −5.37426 + 9.30850i −0.269050 + 0.466008i
\(400\) 0.0387110 + 0.0670494i 0.00193555 + 0.00335247i
\(401\) 14.6429 + 25.3622i 0.731232 + 1.26653i 0.956357 + 0.292201i \(0.0943875\pi\)
−0.225125 + 0.974330i \(0.572279\pi\)
\(402\) 7.82916 0.390483
\(403\) 5.83653 2.04349i 0.290738 0.101793i
\(404\) 15.4753 0.769924
\(405\) 35.1296 + 60.8462i 1.74560 + 3.02347i
\(406\) −0.0702344 0.121650i −0.00348567 0.00603736i
\(407\) −2.58075 + 4.46999i −0.127923 + 0.221569i
\(408\) −4.17331 −0.206610
\(409\) −11.6856 + 20.2401i −0.577817 + 1.00081i 0.417912 + 0.908487i \(0.362762\pi\)
−0.995729 + 0.0923213i \(0.970571\pi\)
\(410\) −2.36903 + 4.10327i −0.116998 + 0.202646i
\(411\) 59.8112 2.95027
\(412\) 0.676229 1.17126i 0.0333154 0.0577040i
\(413\) 4.41117 + 7.64037i 0.217059 + 0.375958i
\(414\) −0.779611 1.35033i −0.0383158 0.0663649i
\(415\) 10.3548 0.508295
\(416\) −1.79331 + 9.48738i −0.0879242 + 0.465157i
\(417\) −46.2389 −2.26433
\(418\) −1.24339 2.15362i −0.0608164 0.105337i
\(419\) −7.30320 12.6495i −0.356785 0.617969i 0.630637 0.776078i \(-0.282794\pi\)
−0.987422 + 0.158109i \(0.949460\pi\)
\(420\) −7.21474 + 12.4963i −0.352043 + 0.609757i
\(421\) 10.2728 0.500668 0.250334 0.968160i \(-0.419460\pi\)
0.250334 + 0.968160i \(0.419460\pi\)
\(422\) 2.82171 4.88734i 0.137359 0.237912i
\(423\) 6.54310 11.3330i 0.318136 0.551028i
\(424\) −7.66611 −0.372299
\(425\) −0.0144656 + 0.0250551i −0.000701682 + 0.00121535i
\(426\) −2.00395 3.47095i −0.0970917 0.168168i
\(427\) 2.73334 + 4.73428i 0.132275 + 0.229108i
\(428\) −17.4141 −0.841740
\(429\) 7.39134 39.1034i 0.356857 1.88793i
\(430\) −0.635689 −0.0306557
\(431\) 6.25087 + 10.8268i 0.301094 + 0.521510i 0.976384 0.216042i \(-0.0693149\pi\)
−0.675290 + 0.737552i \(0.735982\pi\)
\(432\) 30.8073 + 53.3599i 1.48222 + 2.56728i
\(433\) 5.47361 9.48057i 0.263045 0.455607i −0.704005 0.710195i \(-0.748607\pi\)
0.967050 + 0.254588i \(0.0819400\pi\)
\(434\) −0.396810 −0.0190475
\(435\) 2.25041 3.89783i 0.107899 0.186887i
\(436\) −2.21185 + 3.83104i −0.105928 + 0.183473i
\(437\) 2.71282 0.129772
\(438\) −1.52327 + 2.63838i −0.0727846 + 0.126067i
\(439\) 8.95896 + 15.5174i 0.427588 + 0.740604i 0.996658 0.0816849i \(-0.0260301\pi\)
−0.569070 + 0.822289i \(0.692697\pi\)
\(440\) −3.38432 5.86181i −0.161341 0.279451i
\(441\) 8.03736 0.382732
\(442\) −1.08318 + 0.379244i −0.0515217 + 0.0180388i
\(443\) 27.7194 1.31699 0.658494 0.752586i \(-0.271194\pi\)
0.658494 + 0.752586i \(0.271194\pi\)
\(444\) −5.02336 8.70071i −0.238398 0.412917i
\(445\) 10.1842 + 17.6396i 0.482778 + 0.836196i
\(446\) −2.62009 + 4.53813i −0.124065 + 0.214887i
\(447\) 52.9245 2.50324
\(448\) −3.37192 + 5.84033i −0.159308 + 0.275930i
\(449\) 0.0829898 0.143743i 0.00391653 0.00678363i −0.864060 0.503388i \(-0.832087\pi\)
0.867977 + 0.496604i \(0.165420\pi\)
\(450\) −0.0391038 −0.00184337
\(451\) 15.2455 26.4061i 0.717884 1.24341i
\(452\) −9.25039 16.0222i −0.435102 0.753619i
\(453\) −23.1722 40.1354i −1.08872 1.88573i
\(454\) 0.297313 0.0139536
\(455\) −1.49426 + 7.90530i −0.0700522 + 0.370606i
\(456\) 9.81404 0.459584
\(457\) −15.8677 27.4837i −0.742260 1.28563i −0.951464 0.307760i \(-0.900421\pi\)
0.209205 0.977872i \(-0.432913\pi\)
\(458\) 0.537278 + 0.930593i 0.0251054 + 0.0434838i
\(459\) −11.5121 + 19.9396i −0.537340 + 0.930700i
\(460\) 3.64185 0.169802
\(461\) −14.5328 + 25.1715i −0.676859 + 1.17235i 0.299063 + 0.954233i \(0.403326\pi\)
−0.975922 + 0.218121i \(0.930007\pi\)
\(462\) −1.27681 + 2.21149i −0.0594024 + 0.102888i
\(463\) 6.31904 0.293671 0.146835 0.989161i \(-0.453091\pi\)
0.146835 + 0.989161i \(0.453091\pi\)
\(464\) 1.11766 1.93584i 0.0518859 0.0898690i
\(465\) −6.35718 11.0110i −0.294807 0.510621i
\(466\) −1.37518 2.38188i −0.0637038 0.110338i
\(467\) −34.6409 −1.60299 −0.801495 0.598002i \(-0.795962\pi\)
−0.801495 + 0.598002i \(0.795962\pi\)
\(468\) 42.7617 + 36.7858i 1.97666 + 1.70042i
\(469\) 10.1857 0.470334
\(470\) −0.420271 0.727931i −0.0193857 0.0335769i
\(471\) −21.5526 37.3301i −0.993089 1.72008i
\(472\) 4.02766 6.97611i 0.185388 0.321101i
\(473\) 4.09089 0.188099
\(474\) 2.47906 4.29385i 0.113867 0.197223i
\(475\) 0.0340175 0.0589200i 0.00156083 0.00270343i
\(476\) −2.67792 −0.122742
\(477\) −33.7411 + 58.4413i −1.54490 + 2.67585i
\(478\) 0.483293 + 0.837089i 0.0221053 + 0.0382876i
\(479\) 3.57115 + 6.18541i 0.163170 + 0.282619i 0.936004 0.351990i \(-0.114495\pi\)
−0.772834 + 0.634608i \(0.781161\pi\)
\(480\) 19.8518 0.906107
\(481\) −4.24655 3.65310i −0.193626 0.166567i
\(482\) 0.933174 0.0425049
\(483\) −1.39286 2.41250i −0.0633773 0.109773i
\(484\) 0.0363642 + 0.0629847i 0.00165292 + 0.00286294i
\(485\) −17.1356 + 29.6797i −0.778087 + 1.34769i
\(486\) −12.5865 −0.570935
\(487\) 9.25013 16.0217i 0.419163 0.726012i −0.576692 0.816962i \(-0.695657\pi\)
0.995856 + 0.0909493i \(0.0289901\pi\)
\(488\) 2.49570 4.32267i 0.112975 0.195678i
\(489\) −61.1575 −2.76564
\(490\) 0.258125 0.447085i 0.0116609 0.0201972i
\(491\) 7.63904 + 13.2312i 0.344745 + 0.597116i 0.985307 0.170790i \(-0.0546321\pi\)
−0.640563 + 0.767906i \(0.721299\pi\)
\(492\) 29.6750 + 51.3986i 1.33785 + 2.31723i
\(493\) 0.835294 0.0376197
\(494\) 2.54723 0.891838i 0.114605 0.0401257i
\(495\) −59.5821 −2.67802
\(496\) −3.15726 5.46854i −0.141765 0.245545i
\(497\) −2.60714 4.51570i −0.116946 0.202557i
\(498\) −1.78346 + 3.08904i −0.0799186 + 0.138423i
\(499\) 12.4783 0.558606 0.279303 0.960203i \(-0.409897\pi\)
0.279303 + 0.960203i \(0.409897\pi\)
\(500\) 10.9039 18.8861i 0.487636 0.844610i
\(501\) −30.7297 + 53.2255i −1.37290 + 2.37794i
\(502\) 6.44768 0.287774
\(503\) 1.29004 2.23441i 0.0575200 0.0996276i −0.835832 0.548986i \(-0.815014\pi\)
0.893352 + 0.449358i \(0.148347\pi\)
\(504\) −3.66929 6.35540i −0.163443 0.283092i
\(505\) −8.87013 15.3635i −0.394716 0.683668i
\(506\) 0.644506 0.0286518
\(507\) 40.2095 + 15.7641i 1.78577 + 0.700108i
\(508\) −35.8802 −1.59192
\(509\) −17.8404 30.9005i −0.790761 1.36964i −0.925496 0.378757i \(-0.876352\pi\)
0.134735 0.990882i \(-0.456982\pi\)
\(510\) 1.17981 + 2.04349i 0.0522428 + 0.0904872i
\(511\) −1.98177 + 3.43253i −0.0876686 + 0.151846i
\(512\) 16.5825 0.732850
\(513\) 27.0721 46.8903i 1.19526 2.07026i
\(514\) 0.826032 1.43073i 0.0364347 0.0631068i
\(515\) −1.55040 −0.0683190
\(516\) −3.98140 + 6.89599i −0.175272 + 0.303579i
\(517\) 2.70460 + 4.68450i 0.118948 + 0.206024i
\(518\) 0.179723 + 0.311289i 0.00789656 + 0.0136772i
\(519\) 57.1365 2.50801
\(520\) 6.93315 2.42744i 0.304039 0.106450i
\(521\) −20.9637 −0.918437 −0.459219 0.888323i \(-0.651871\pi\)
−0.459219 + 0.888323i \(0.651871\pi\)
\(522\) 0.564499 + 0.977742i 0.0247075 + 0.0427946i
\(523\) 11.4131 + 19.7681i 0.499062 + 0.864401i 0.999999 0.00108279i \(-0.000344663\pi\)
−0.500937 + 0.865484i \(0.667011\pi\)
\(524\) −1.70156 + 2.94719i −0.0743330 + 0.128749i
\(525\) −0.0698632 −0.00304908
\(526\) −2.46622 + 4.27161i −0.107532 + 0.186251i
\(527\) 1.17981 2.04349i 0.0513933 0.0890158i
\(528\) −40.6362 −1.76847
\(529\) 11.1485 19.3097i 0.484716 0.839552i
\(530\) 2.16723 + 3.75376i 0.0941386 + 0.163053i
\(531\) −35.4542 61.4084i −1.53858 2.66490i
\(532\) 6.29744 0.273029
\(533\) 25.0861 + 21.5803i 1.08660 + 0.934749i
\(534\) −7.01634 −0.303627
\(535\) 9.98140 + 17.2883i 0.431534 + 0.747438i
\(536\) −4.65009 8.05419i −0.200853 0.347888i
\(537\) 24.0674 41.6860i 1.03859 1.79888i
\(538\) 0.645208 0.0278169
\(539\) −1.66113 + 2.87716i −0.0715498 + 0.123928i
\(540\) 36.3433 62.9484i 1.56397 2.70887i
\(541\) 30.2191 1.29922 0.649611 0.760266i \(-0.274932\pi\)
0.649611 + 0.760266i \(0.274932\pi\)
\(542\) 1.79013 3.10059i 0.0768925 0.133182i
\(543\) 11.3868 + 19.7224i 0.488652 + 0.846371i
\(544\) 1.84211 + 3.19064i 0.0789800 + 0.136797i
\(545\) 5.07116 0.217225
\(546\) −2.10095 1.80734i −0.0899123 0.0773472i
\(547\) −16.8223 −0.719271 −0.359636 0.933093i \(-0.617099\pi\)
−0.359636 + 0.933093i \(0.617099\pi\)
\(548\) −17.5214 30.3479i −0.748476 1.29640i
\(549\) −21.9688 38.0511i −0.937606 1.62398i
\(550\) 0.00808180 0.0139981i 0.000344609 0.000596881i
\(551\) −1.96429 −0.0836817
\(552\) −1.27176 + 2.20276i −0.0541298 + 0.0937555i
\(553\) 3.22525 5.58630i 0.137152 0.237554i
\(554\) 1.27932 0.0543531
\(555\) −5.75858 + 9.97416i −0.244438 + 0.423379i
\(556\) 13.5454 + 23.4614i 0.574454 + 0.994984i
\(557\) 5.24591 + 9.08619i 0.222276 + 0.384994i 0.955499 0.294995i \(-0.0953179\pi\)
−0.733222 + 0.679989i \(0.761985\pi\)
\(558\) 3.18930 0.135014
\(559\) −0.824600 + 4.36249i −0.0348768 + 0.184513i
\(560\) 8.21520 0.347155
\(561\) −7.59250 13.1506i −0.320555 0.555218i
\(562\) 3.64244 + 6.30890i 0.153647 + 0.266125i
\(563\) −15.4737 + 26.8012i −0.652138 + 1.12954i 0.330465 + 0.943818i \(0.392795\pi\)
−0.982603 + 0.185718i \(0.940539\pi\)
\(564\) −10.5288 −0.443344
\(565\) −10.6043 + 18.3672i −0.446126 + 0.772713i
\(566\) 0.850388 1.47292i 0.0357445 0.0619112i
\(567\) −31.4871 −1.32234
\(568\) −2.38047 + 4.12310i −0.0998825 + 0.173002i
\(569\) 18.4545 + 31.9641i 0.773651 + 1.34000i 0.935549 + 0.353196i \(0.114905\pi\)
−0.161898 + 0.986807i \(0.551762\pi\)
\(570\) −2.77446 4.80551i −0.116209 0.201280i
\(571\) −1.77093 −0.0741113 −0.0370556 0.999313i \(-0.511798\pi\)
−0.0370556 + 0.999313i \(0.511798\pi\)
\(572\) −22.0061 + 7.70479i −0.920121 + 0.322153i
\(573\) 9.47383 0.395775
\(574\) −1.06170 1.83891i −0.0443143 0.0767546i
\(575\) 0.00881638 + 0.0152704i 0.000367668 + 0.000636820i
\(576\) 27.1013 46.9409i 1.12922 1.95587i
\(577\) −9.83999 −0.409644 −0.204822 0.978799i \(-0.565662\pi\)
−0.204822 + 0.978799i \(0.565662\pi\)
\(578\) 1.74761 3.02695i 0.0726910 0.125905i
\(579\) −16.6951 + 28.9168i −0.693826 + 1.20174i
\(580\) −2.63699 −0.109495
\(581\) −2.32028 + 4.01884i −0.0962613 + 0.166730i
\(582\) −5.90272 10.2238i −0.244675 0.423790i
\(583\) −13.9469 24.1568i −0.577623 1.00047i
\(584\) 3.61896 0.149753
\(585\) 12.0100 63.5378i 0.496550 2.62696i
\(586\) −3.13112 −0.129345
\(587\) 7.56917 + 13.1102i 0.312413 + 0.541116i 0.978884 0.204415i \(-0.0655293\pi\)
−0.666471 + 0.745531i \(0.732196\pi\)
\(588\) −3.23334 5.60030i −0.133341 0.230953i
\(589\) −2.77446 + 4.80551i −0.114320 + 0.198007i
\(590\) −4.55453 −0.187507
\(591\) −42.2210 + 73.1289i −1.73674 + 3.00812i
\(592\) −2.85997 + 4.95361i −0.117544 + 0.203592i
\(593\) 9.17148 0.376628 0.188314 0.982109i \(-0.439698\pi\)
0.188314 + 0.982109i \(0.439698\pi\)
\(594\) 6.43174 11.1401i 0.263898 0.457084i
\(595\) 1.53493 + 2.65858i 0.0629261 + 0.108991i
\(596\) −15.5040 26.8536i −0.635067 1.09997i
\(597\) 41.3506 1.69237
\(598\) −0.129913 + 0.687294i −0.00531253 + 0.0281056i
\(599\) −18.5811 −0.759202 −0.379601 0.925150i \(-0.623939\pi\)
−0.379601 + 0.925150i \(0.623939\pi\)
\(600\) 0.0318946 + 0.0552431i 0.00130209 + 0.00225529i
\(601\) 6.70179 + 11.6078i 0.273372 + 0.473494i 0.969723 0.244207i \(-0.0785277\pi\)
−0.696351 + 0.717701i \(0.745194\pi\)
\(602\) 0.142444 0.246721i 0.00580560 0.0100556i
\(603\) −81.8665 −3.33386
\(604\) −13.5763 + 23.5149i −0.552413 + 0.956808i
\(605\) 0.0416865 0.0722032i 0.00169480 0.00293548i
\(606\) 6.11101 0.248243
\(607\) −6.31812 + 10.9433i −0.256445 + 0.444175i −0.965287 0.261192i \(-0.915884\pi\)
0.708842 + 0.705367i \(0.249218\pi\)
\(608\) −4.33195 7.50316i −0.175684 0.304293i
\(609\) 1.00854 + 1.74684i 0.0408681 + 0.0707856i
\(610\) −2.82217 −0.114266
\(611\) −5.54067 + 1.93990i −0.224151 + 0.0784800i
\(612\) 21.5234 0.870032
\(613\) −12.8540 22.2637i −0.519167 0.899223i −0.999752 0.0222753i \(-0.992909\pi\)
0.480585 0.876948i \(-0.340424\pi\)
\(614\) 0.382450 + 0.662422i 0.0154344 + 0.0267332i
\(615\) 34.0183 58.9214i 1.37175 2.37594i
\(616\) 3.03341 0.122220
\(617\) 3.29810 5.71248i 0.132777 0.229976i −0.791969 0.610561i \(-0.790944\pi\)
0.924746 + 0.380585i \(0.124277\pi\)
\(618\) 0.267035 0.462518i 0.0107417 0.0186052i
\(619\) −21.0124 −0.844559 −0.422280 0.906466i \(-0.638770\pi\)
−0.422280 + 0.906466i \(0.638770\pi\)
\(620\) −3.72461 + 6.45121i −0.149584 + 0.259087i
\(621\) 7.01634 + 12.1526i 0.281556 + 0.487669i
\(622\) 3.96856 + 6.87375i 0.159125 + 0.275612i
\(623\) −9.12826 −0.365716
\(624\) 8.19103 43.3341i 0.327904 1.73475i
\(625\) −24.8944 −0.995777
\(626\) −0.834551 1.44549i −0.0333554 0.0577732i
\(627\) 17.8547 + 30.9252i 0.713046 + 1.23503i
\(628\) −12.6274 + 21.8713i −0.503888 + 0.872760i
\(629\) −2.13743 −0.0852250
\(630\) −2.07464 + 3.59339i −0.0826557 + 0.143164i
\(631\) −13.0105 + 22.5349i −0.517940 + 0.897099i 0.481842 + 0.876258i \(0.339968\pi\)
−0.999783 + 0.0208412i \(0.993366\pi\)
\(632\) −5.88970 −0.234280
\(633\) −40.5187 + 70.1804i −1.61047 + 2.78942i
\(634\) 0.930117 + 1.61101i 0.0369397 + 0.0639814i
\(635\) 20.5658 + 35.6210i 0.816130 + 1.41358i
\(636\) 54.2946 2.15292
\(637\) −2.73334 2.35136i −0.108299 0.0931641i
\(638\) −0.466673 −0.0184758
\(639\) 20.9545 + 36.2943i 0.828949 + 1.43578i
\(640\) −7.71615 13.3648i −0.305008 0.528289i
\(641\) −9.26694 + 16.0508i −0.366022 + 0.633969i −0.988940 0.148319i \(-0.952614\pi\)
0.622917 + 0.782288i \(0.285947\pi\)
\(642\) −6.87661 −0.271398
\(643\) 7.22328 12.5111i 0.284858 0.493389i −0.687716 0.725979i \(-0.741387\pi\)
0.972575 + 0.232590i \(0.0747201\pi\)
\(644\) −0.816061 + 1.41346i −0.0321573 + 0.0556981i
\(645\) 9.12826 0.359425
\(646\) 0.514903 0.891838i 0.0202586 0.0350889i
\(647\) −14.6438 25.3637i −0.575706 0.997152i −0.995965 0.0897473i \(-0.971394\pi\)
0.420259 0.907404i \(-0.361939\pi\)
\(648\) 14.3748 + 24.8979i 0.564696 + 0.978082i
\(649\) 29.3100 1.15052
\(650\) 0.0132984 + 0.0114399i 0.000521605 + 0.000448711i
\(651\) 5.69803 0.223324
\(652\) 17.9158 + 31.0310i 0.701636 + 1.21527i
\(653\) 15.4807 + 26.8134i 0.605808 + 1.04929i 0.991923 + 0.126840i \(0.0404836\pi\)
−0.386115 + 0.922451i \(0.626183\pi\)
\(654\) −0.873434 + 1.51283i −0.0341540 + 0.0591564i
\(655\) 3.90121 0.152433
\(656\) 16.8950 29.2630i 0.659639 1.14253i
\(657\) 15.9282 27.5885i 0.621420 1.07633i
\(658\) 0.376695 0.0146851
\(659\) 18.5414 32.1146i 0.722270 1.25101i −0.237817 0.971310i \(-0.576432\pi\)
0.960088 0.279699i \(-0.0902347\pi\)
\(660\) 23.9692 + 41.5159i 0.933000 + 1.61600i
\(661\) 10.2009 + 17.6685i 0.396770 + 0.687226i 0.993325 0.115346i \(-0.0367977\pi\)
−0.596555 + 0.802572i \(0.703464\pi\)
\(662\) 0.206764 0.00803611
\(663\) 15.5541 5.44580i 0.604070 0.211497i
\(664\) 4.23710 0.164431
\(665\) −3.60957 6.25197i −0.139973 0.242441i
\(666\) −1.44450 2.50194i −0.0559731 0.0969483i
\(667\) 0.254545 0.440885i 0.00985601 0.0170711i
\(668\) 36.0085 1.39321
\(669\) 37.6235 65.1658i 1.45461 2.51945i
\(670\) −2.62919 + 4.55389i −0.101574 + 0.175932i
\(671\) 18.1617 0.701123
\(672\) −4.44836 + 7.70479i −0.171599 + 0.297219i
\(673\) −7.25551 12.5669i −0.279679 0.484419i 0.691626 0.722256i \(-0.256895\pi\)
−0.971305 + 0.237837i \(0.923562\pi\)
\(674\) −1.74350 3.01983i −0.0671571 0.116319i
\(675\) 0.351926 0.0135457
\(676\) −3.78055 25.0201i −0.145406 0.962313i
\(677\) −3.51476 −0.135083 −0.0675417 0.997716i \(-0.521516\pi\)
−0.0675417 + 0.997716i \(0.521516\pi\)
\(678\) −3.65287 6.32696i −0.140288 0.242985i
\(679\) −7.67944 13.3012i −0.294710 0.510452i
\(680\) 1.40148 2.42744i 0.0537444 0.0930881i
\(681\) −4.26930 −0.163600
\(682\) −0.659151 + 1.14168i −0.0252402 + 0.0437173i
\(683\) 13.5376 23.4479i 0.518003 0.897208i −0.481778 0.876293i \(-0.660009\pi\)
0.999781 0.0209144i \(-0.00665773\pi\)
\(684\) −50.6149 −1.93531
\(685\) −20.0858 + 34.7897i −0.767440 + 1.32925i
\(686\) 0.115680 + 0.200364i 0.00441670 + 0.00764995i
\(687\) −7.71511 13.3630i −0.294350 0.509829i
\(688\) 4.53350 0.172838
\(689\) 28.5718 10.0036i 1.08850 0.381106i
\(690\) 1.43812 0.0547485
\(691\) −14.8702 25.7560i −0.565690 0.979803i −0.996985 0.0775926i \(-0.975277\pi\)
0.431295 0.902211i \(-0.358057\pi\)
\(692\) −16.7378 28.9908i −0.636277 1.10206i
\(693\) 13.3511 23.1247i 0.507166 0.878436i
\(694\) −3.79810 −0.144174
\(695\) 15.5280 26.8952i 0.589009 1.02019i
\(696\) 0.920856 1.59497i 0.0349049 0.0604571i
\(697\) 12.6267 0.478270
\(698\) −3.97619 + 6.88696i −0.150501 + 0.260675i
\(699\) 19.7470 + 34.2028i 0.746900 + 1.29367i
\(700\) 0.0204660 + 0.0354482i 0.000773544 + 0.00133982i
\(701\) 18.2888 0.690760 0.345380 0.938463i \(-0.387750\pi\)
0.345380 + 0.938463i \(0.387750\pi\)
\(702\) 10.5832 + 9.10425i 0.399439 + 0.343618i
\(703\) 5.02642 0.189575
\(704\) 11.2024 + 19.4030i 0.422205 + 0.731280i
\(705\) 6.03493 + 10.4528i 0.227289 + 0.393676i
\(706\) 2.76664 4.79197i 0.104124 0.180348i
\(707\) 7.95042 0.299006
\(708\) −28.5256 + 49.4078i −1.07206 + 1.85686i
\(709\) 14.3402 24.8379i 0.538557 0.932808i −0.460425 0.887699i \(-0.652303\pi\)
0.998982 0.0451098i \(-0.0143638\pi\)
\(710\) 2.69187 0.101024
\(711\) −25.9225 + 44.8992i −0.972171 + 1.68385i
\(712\) 4.16732 + 7.21801i 0.156177 + 0.270506i
\(713\) −0.719062 1.24545i −0.0269291 0.0466426i
\(714\) −1.05748 −0.0395752
\(715\) 20.2626 + 17.4309i 0.757779 + 0.651880i
\(716\) −28.2017 −1.05395
\(717\) −6.93991 12.0203i −0.259176 0.448905i
\(718\) 0.714760 + 1.23800i 0.0266746 + 0.0462018i
\(719\) −12.7381 + 22.0631i −0.475052 + 0.822813i −0.999592 0.0285723i \(-0.990904\pi\)
0.524540 + 0.851386i \(0.324237\pi\)
\(720\) −66.0285 −2.46074
\(721\) 0.347412 0.601736i 0.0129383 0.0224098i
\(722\) 0.987073 1.70966i 0.0367350 0.0636270i
\(723\) −13.4000 −0.498352
\(724\) 6.67138 11.5552i 0.247940 0.429444i
\(725\) −0.00638375 0.0110570i −0.000237086 0.000410646i
\(726\) 0.0143598 + 0.0248719i 0.000532942 + 0.000923083i
\(727\) −9.02572 −0.334746 −0.167373 0.985894i \(-0.553528\pi\)
−0.167373 + 0.985894i \(0.553528\pi\)
\(728\) −0.611444 + 3.23480i −0.0226616 + 0.119890i
\(729\) 86.2759 3.19540
\(730\) −1.02309 1.77204i −0.0378663 0.0655863i
\(731\) 0.847041 + 1.46712i 0.0313290 + 0.0542633i
\(732\) −17.6756 + 30.6150i −0.653309 + 1.13156i
\(733\) −7.57069 −0.279630 −0.139815 0.990178i \(-0.544651\pi\)
−0.139815 + 0.990178i \(0.544651\pi\)
\(734\) −2.29695 + 3.97843i −0.0847818 + 0.146846i
\(735\) −3.70657 + 6.41997i −0.136719 + 0.236804i
\(736\) 2.24544 0.0827681
\(737\) 16.9198 29.3059i 0.623249 1.07950i
\(738\) 8.53323 + 14.7800i 0.314113 + 0.544059i
\(739\) 3.18648 + 5.51914i 0.117216 + 0.203025i 0.918664 0.395041i \(-0.129270\pi\)
−0.801447 + 0.598066i \(0.795936\pi\)
\(740\) 6.74778 0.248053
\(741\) −36.5772 + 12.8064i −1.34370 + 0.470457i
\(742\) −1.94252 −0.0713122
\(743\) 11.4148 + 19.7711i 0.418770 + 0.725330i 0.995816 0.0913811i \(-0.0291281\pi\)
−0.577046 + 0.816711i \(0.695795\pi\)
\(744\) −2.60132 4.50562i −0.0953690 0.165184i
\(745\) −17.7731 + 30.7840i −0.651157 + 1.12784i
\(746\) 6.98596 0.255774
\(747\) 18.6489 32.3009i 0.682328 1.18183i
\(748\) −4.44836 + 7.70479i −0.162648 + 0.281715i
\(749\) −8.94647 −0.326897
\(750\) 4.30581 7.45788i 0.157226 0.272323i
\(751\) −19.6848 34.0950i −0.718307 1.24414i −0.961670 0.274209i \(-0.911584\pi\)
0.243363 0.969935i \(-0.421749\pi\)
\(752\) 2.99722 + 5.19133i 0.109297 + 0.189308i
\(753\) −92.5863 −3.37403
\(754\) 0.0940671 0.497655i 0.00342572 0.0181235i
\(755\) 31.1268 1.13282
\(756\) 16.2875 + 28.2108i 0.592370 + 1.02602i
\(757\) −4.36357 7.55792i −0.158597 0.274697i 0.775766 0.631020i \(-0.217364\pi\)
−0.934363 + 0.356323i \(0.884030\pi\)
\(758\) 0.500020 0.866060i 0.0181615 0.0314567i
\(759\) −9.25486 −0.335930
\(760\) −3.29575 + 5.70841i −0.119550 + 0.207066i
\(761\) 11.4195 19.7792i 0.413958 0.716996i −0.581361 0.813646i \(-0.697480\pi\)
0.995318 + 0.0966503i \(0.0308128\pi\)
\(762\) −14.1687 −0.513276
\(763\) −1.13634 + 1.96820i −0.0411382 + 0.0712535i
\(764\) −2.77531 4.80697i −0.100407 0.173910i
\(765\) −12.3368 21.3680i −0.446038 0.772561i
\(766\) −4.01368 −0.145020
\(767\) −5.90801 + 31.2559i −0.213326 + 1.12859i
\(768\) −39.4934 −1.42510
\(769\) −17.4174 30.1679i −0.628089 1.08788i −0.987935 0.154871i \(-0.950504\pi\)
0.359846 0.933012i \(-0.382829\pi\)
\(770\) −0.857556 1.48533i −0.0309042 0.0535276i
\(771\) −11.8615 + 20.5447i −0.427182 + 0.739900i
\(772\) 19.5630 0.704088
\(773\) 16.6372 28.8164i 0.598397 1.03645i −0.394661 0.918827i \(-0.629138\pi\)
0.993058 0.117627i \(-0.0375289\pi\)
\(774\) −1.14488 + 1.98299i −0.0411518 + 0.0712769i
\(775\) −0.0360668 −0.00129556