Properties

Label 74.2.f.b.71.1
Level $74$
Weight $2$
Character 74.71
Analytic conductor $0.591$
Analytic rank $0$
Dimension $12$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 74 = 2 \cdot 37 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 74.f (of order \(9\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.590892974957\)
Analytic rank: \(0\)
Dimension: \(12\)
Relative dimension: \(2\) over \(\Q(\zeta_{9})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{12} - \cdots)\)
Defining polynomial: \( x^{12} - 24x^{10} + 264x^{8} - 1687x^{6} + 6600x^{4} - 15000x^{2} + 15625 \) Copy content Toggle raw display
Coefficient ring: \(\Z[a_1, a_2, a_3]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label 71.1
Root \(-2.20976 - 0.342020i\) of defining polynomial
Character \(\chi\) \(=\) 74.71
Dual form 74.2.f.b.49.1

$q$-expansion

\(f(q)\) \(=\) \(q+(0.766044 + 0.642788i) q^{2} +(-2.41262 + 2.02443i) q^{3} +(0.173648 + 0.984808i) q^{4} +(-1.43969 - 0.524005i) q^{5} -3.14945 q^{6} +(4.53424 + 1.65033i) q^{7} +(-0.500000 + 0.866025i) q^{8} +(1.20148 - 6.81391i) q^{9} +O(q^{10})\) \(q+(0.766044 + 0.642788i) q^{2} +(-2.41262 + 2.02443i) q^{3} +(0.173648 + 0.984808i) q^{4} +(-1.43969 - 0.524005i) q^{5} -3.14945 q^{6} +(4.53424 + 1.65033i) q^{7} +(-0.500000 + 0.866025i) q^{8} +(1.20148 - 6.81391i) q^{9} +(-0.766044 - 1.32683i) q^{10} +(0.546896 - 0.947252i) q^{11} +(-2.41262 - 2.02443i) q^{12} +(0.307284 + 1.74269i) q^{13} +(2.41262 + 4.17878i) q^{14} +(4.53424 - 1.65033i) q^{15} +(-0.939693 + 0.342020i) q^{16} +(0.511542 - 2.90110i) q^{17} +(5.30028 - 4.44747i) q^{18} +(-0.632167 + 0.530451i) q^{19} +(0.266044 - 1.50881i) q^{20} +(-14.2804 + 5.19762i) q^{21} +(1.02783 - 0.374099i) q^{22} +(0.121620 + 0.210653i) q^{23} +(-0.546896 - 3.10160i) q^{24} +(-2.03209 - 1.70513i) q^{25} +(-0.884789 + 1.53250i) q^{26} +(6.17139 + 10.6892i) q^{27} +(-0.837893 + 4.75193i) q^{28} +(2.78587 - 4.82526i) q^{29} +(4.53424 + 1.65033i) q^{30} -5.73495 q^{31} +(-0.939693 - 0.342020i) q^{32} +(0.598191 + 3.39251i) q^{33} +(2.25665 - 1.89356i) q^{34} +(-5.66313 - 4.75193i) q^{35} +6.91903 q^{36} +(5.84038 - 1.69999i) q^{37} -0.825235 q^{38} +(-4.26932 - 3.58238i) q^{39} +(1.17365 - 0.984808i) q^{40} +(0.505653 + 2.86770i) q^{41} +(-14.2804 - 5.19762i) q^{42} +4.37987 q^{43} +(1.02783 + 0.374099i) q^{44} +(-5.30028 + 9.18036i) q^{45} +(-0.0422383 + 0.239545i) q^{46} +(-1.13249 - 1.96153i) q^{47} +(1.57472 - 2.72750i) q^{48} +(12.4734 + 10.4664i) q^{49} +(-0.460637 - 2.61240i) q^{50} +(4.63890 + 8.03481i) q^{51} +(-1.66286 + 0.605232i) q^{52} +(-5.77859 + 2.10324i) q^{53} +(-2.14330 + 12.1553i) q^{54} +(-1.28373 + 1.07717i) q^{55} +(-3.69634 + 3.10160i) q^{56} +(0.451318 - 2.55955i) q^{57} +(5.23571 - 1.90564i) q^{58} +(-8.29301 + 3.01841i) q^{59} +(2.41262 + 4.17878i) q^{60} +(-2.04075 - 11.5737i) q^{61} +(-4.39322 - 3.68635i) q^{62} +(16.6930 - 28.9131i) q^{63} +(-0.500000 - 0.866025i) q^{64} +(0.470787 - 2.66996i) q^{65} +(-1.72242 + 2.98332i) q^{66} +(-8.44220 - 3.07271i) q^{67} +2.94585 q^{68} +(-0.719875 - 0.262013i) q^{69} +(-1.28373 - 7.28038i) q^{70} +(-0.933535 + 0.783329i) q^{71} +(5.30028 + 4.44747i) q^{72} +8.79418 q^{73} +(5.56672 + 2.45185i) q^{74} +8.35455 q^{75} +(-0.632167 - 0.530451i) q^{76} +(4.04303 - 3.39251i) q^{77} +(-0.967776 - 5.48853i) q^{78} +(-2.02379 - 0.736599i) q^{79} +1.53209 q^{80} +(-17.0233 - 6.19599i) q^{81} +(-1.45597 + 2.52181i) q^{82} +(0.884528 - 5.01641i) q^{83} +(-7.59842 - 13.1608i) q^{84} +(-2.25665 + 3.90864i) q^{85} +(3.35518 + 2.81533i) q^{86} +(3.04716 + 17.2813i) q^{87} +(0.546896 + 0.947252i) q^{88} +(-8.43486 + 3.07004i) q^{89} +(-9.96127 + 3.62561i) q^{90} +(-1.48272 + 8.40891i) q^{91} +(-0.186333 + 0.156352i) q^{92} +(13.8362 - 11.6100i) q^{93} +(0.393310 - 2.23057i) q^{94} +(1.18809 - 0.432428i) q^{95} +(2.95951 - 1.07717i) q^{96} +(-2.17954 - 3.77507i) q^{97} +(2.82750 + 16.0355i) q^{98} +(-5.79741 - 4.86460i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 12 q - 3 q^{3} - 6 q^{5} + 6 q^{7} - 6 q^{8} - 3 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 12 q - 3 q^{3} - 6 q^{5} + 6 q^{7} - 6 q^{8} - 3 q^{9} + 3 q^{11} - 3 q^{12} - 6 q^{13} + 3 q^{14} + 6 q^{15} - 3 q^{17} + 6 q^{18} - 3 q^{19} - 6 q^{20} - 33 q^{21} - 3 q^{22} - 21 q^{23} - 3 q^{24} - 6 q^{25} + 3 q^{27} - 3 q^{28} + 6 q^{29} + 6 q^{30} + 42 q^{31} + 57 q^{33} - 3 q^{34} - 9 q^{35} + 24 q^{36} - 3 q^{37} + 42 q^{38} - 24 q^{39} + 12 q^{40} - 21 q^{41} - 33 q^{42} + 36 q^{43} - 3 q^{44} - 6 q^{45} + 3 q^{46} + 9 q^{47} - 12 q^{49} + 12 q^{50} + 3 q^{52} - 6 q^{53} - 27 q^{54} - 3 q^{56} - 36 q^{57} - 3 q^{58} - 6 q^{59} + 3 q^{60} - 18 q^{61} - 33 q^{62} + 36 q^{63} - 6 q^{64} + 3 q^{65} + 3 q^{66} - 27 q^{67} + 6 q^{68} - 12 q^{69} - 18 q^{71} + 6 q^{72} + 54 q^{73} + 3 q^{74} - 6 q^{75} - 3 q^{76} + 51 q^{77} - 33 q^{78} - 12 q^{79} - 36 q^{81} - 18 q^{82} - 6 q^{83} - 6 q^{84} + 3 q^{85} + 39 q^{87} + 3 q^{88} - 15 q^{89} - 15 q^{90} - 51 q^{91} - 6 q^{92} + 45 q^{93} - 12 q^{94} - 15 q^{95} + 6 q^{96} - 42 q^{97} + 51 q^{98} - 33 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/74\mathbb{Z}\right)^\times\).

\(n\) \(39\)
\(\chi(n)\) \(e\left(\frac{2}{9}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.766044 + 0.642788i 0.541675 + 0.454519i
\(3\) −2.41262 + 2.02443i −1.39293 + 1.16880i −0.428786 + 0.903406i \(0.641059\pi\)
−0.964139 + 0.265397i \(0.914497\pi\)
\(4\) 0.173648 + 0.984808i 0.0868241 + 0.492404i
\(5\) −1.43969 0.524005i −0.643850 0.234342i −0.000601695 1.00000i \(-0.500192\pi\)
−0.643248 + 0.765658i \(0.722414\pi\)
\(6\) −3.14945 −1.28576
\(7\) 4.53424 + 1.65033i 1.71378 + 0.623765i 0.997272 0.0738128i \(-0.0235167\pi\)
0.716509 + 0.697578i \(0.245739\pi\)
\(8\) −0.500000 + 0.866025i −0.176777 + 0.306186i
\(9\) 1.20148 6.81391i 0.400492 2.27130i
\(10\) −0.766044 1.32683i −0.242245 0.419580i
\(11\) 0.546896 0.947252i 0.164895 0.285607i −0.771723 0.635959i \(-0.780605\pi\)
0.936618 + 0.350352i \(0.113938\pi\)
\(12\) −2.41262 2.02443i −0.696463 0.584402i
\(13\) 0.307284 + 1.74269i 0.0852253 + 0.483337i 0.997308 + 0.0733298i \(0.0233626\pi\)
−0.912082 + 0.410007i \(0.865526\pi\)
\(14\) 2.41262 + 4.17878i 0.644799 + 1.11682i
\(15\) 4.53424 1.65033i 1.17074 0.426113i
\(16\) −0.939693 + 0.342020i −0.234923 + 0.0855050i
\(17\) 0.511542 2.90110i 0.124067 0.703619i −0.857791 0.513999i \(-0.828163\pi\)
0.981858 0.189620i \(-0.0607255\pi\)
\(18\) 5.30028 4.44747i 1.24929 1.04828i
\(19\) −0.632167 + 0.530451i −0.145029 + 0.121694i −0.712416 0.701758i \(-0.752399\pi\)
0.567387 + 0.823451i \(0.307954\pi\)
\(20\) 0.266044 1.50881i 0.0594893 0.337381i
\(21\) −14.2804 + 5.19762i −3.11623 + 1.13421i
\(22\) 1.02783 0.374099i 0.219134 0.0797582i
\(23\) 0.121620 + 0.210653i 0.0253596 + 0.0439241i 0.878427 0.477877i \(-0.158594\pi\)
−0.853067 + 0.521801i \(0.825260\pi\)
\(24\) −0.546896 3.10160i −0.111635 0.633112i
\(25\) −2.03209 1.70513i −0.406418 0.341025i
\(26\) −0.884789 + 1.53250i −0.173521 + 0.300548i
\(27\) 6.17139 + 10.6892i 1.18768 + 2.05713i
\(28\) −0.837893 + 4.75193i −0.158347 + 0.898030i
\(29\) 2.78587 4.82526i 0.517322 0.896028i −0.482475 0.875910i \(-0.660262\pi\)
0.999798 0.0201189i \(-0.00640447\pi\)
\(30\) 4.53424 + 1.65033i 0.827835 + 0.301307i
\(31\) −5.73495 −1.03003 −0.515013 0.857182i \(-0.672213\pi\)
−0.515013 + 0.857182i \(0.672213\pi\)
\(32\) −0.939693 0.342020i −0.166116 0.0604612i
\(33\) 0.598191 + 3.39251i 0.104132 + 0.590560i
\(34\) 2.25665 1.89356i 0.387013 0.324742i
\(35\) −5.66313 4.75193i −0.957243 0.803223i
\(36\) 6.91903 1.15317
\(37\) 5.84038 1.69999i 0.960152 0.279477i
\(38\) −0.825235 −0.133871
\(39\) −4.26932 3.58238i −0.683638 0.573640i
\(40\) 1.17365 0.984808i 0.185570 0.155712i
\(41\) 0.505653 + 2.86770i 0.0789697 + 0.447859i 0.998496 + 0.0548301i \(0.0174617\pi\)
−0.919526 + 0.393029i \(0.871427\pi\)
\(42\) −14.2804 5.19762i −2.20351 0.802011i
\(43\) 4.37987 0.667924 0.333962 0.942587i \(-0.391614\pi\)
0.333962 + 0.942587i \(0.391614\pi\)
\(44\) 1.02783 + 0.374099i 0.154951 + 0.0563975i
\(45\) −5.30028 + 9.18036i −0.790119 + 1.36853i
\(46\) −0.0422383 + 0.239545i −0.00622770 + 0.0353191i
\(47\) −1.13249 1.96153i −0.165191 0.286119i 0.771532 0.636190i \(-0.219491\pi\)
−0.936723 + 0.350071i \(0.886157\pi\)
\(48\) 1.57472 2.72750i 0.227292 0.393681i
\(49\) 12.4734 + 10.4664i 1.78192 + 1.49521i
\(50\) −0.460637 2.61240i −0.0651439 0.369450i
\(51\) 4.63890 + 8.03481i 0.649576 + 1.12510i
\(52\) −1.66286 + 0.605232i −0.230597 + 0.0839305i
\(53\) −5.77859 + 2.10324i −0.793751 + 0.288902i −0.706894 0.707319i \(-0.749904\pi\)
−0.0868564 + 0.996221i \(0.527682\pi\)
\(54\) −2.14330 + 12.1553i −0.291666 + 1.65412i
\(55\) −1.28373 + 1.07717i −0.173098 + 0.145246i
\(56\) −3.69634 + 3.10160i −0.493945 + 0.414469i
\(57\) 0.451318 2.55955i 0.0597785 0.339021i
\(58\) 5.23571 1.90564i 0.687483 0.250223i
\(59\) −8.29301 + 3.01841i −1.07966 + 0.392963i −0.819780 0.572678i \(-0.805904\pi\)
−0.259878 + 0.965642i \(0.583682\pi\)
\(60\) 2.41262 + 4.17878i 0.311468 + 0.539478i
\(61\) −2.04075 11.5737i −0.261292 1.48186i −0.779390 0.626539i \(-0.784471\pi\)
0.518098 0.855321i \(-0.326640\pi\)
\(62\) −4.39322 3.68635i −0.557940 0.468167i
\(63\) 16.6930 28.9131i 2.10312 3.64270i
\(64\) −0.500000 0.866025i −0.0625000 0.108253i
\(65\) 0.470787 2.66996i 0.0583939 0.331168i
\(66\) −1.72242 + 2.98332i −0.212015 + 0.367221i
\(67\) −8.44220 3.07271i −1.03138 0.375391i −0.229773 0.973244i \(-0.573798\pi\)
−0.801606 + 0.597853i \(0.796021\pi\)
\(68\) 2.94585 0.357237
\(69\) −0.719875 0.262013i −0.0866627 0.0315427i
\(70\) −1.28373 7.28038i −0.153435 0.870172i
\(71\) −0.933535 + 0.783329i −0.110790 + 0.0929640i −0.696500 0.717557i \(-0.745260\pi\)
0.585710 + 0.810521i \(0.300816\pi\)
\(72\) 5.30028 + 4.44747i 0.624644 + 0.524139i
\(73\) 8.79418 1.02928 0.514640 0.857406i \(-0.327925\pi\)
0.514640 + 0.857406i \(0.327925\pi\)
\(74\) 5.56672 + 2.45185i 0.647119 + 0.285022i
\(75\) 8.35455 0.964701
\(76\) −0.632167 0.530451i −0.0725145 0.0608469i
\(77\) 4.04303 3.39251i 0.460746 0.386612i
\(78\) −0.967776 5.48853i −0.109579 0.621453i
\(79\) −2.02379 0.736599i −0.227694 0.0828739i 0.225654 0.974208i \(-0.427548\pi\)
−0.453348 + 0.891334i \(0.649770\pi\)
\(80\) 1.53209 0.171293
\(81\) −17.0233 6.19599i −1.89148 0.688443i
\(82\) −1.45597 + 2.52181i −0.160785 + 0.278488i
\(83\) 0.884528 5.01641i 0.0970895 0.550622i −0.896997 0.442036i \(-0.854256\pi\)
0.994087 0.108586i \(-0.0346324\pi\)
\(84\) −7.59842 13.1608i −0.829055 1.43597i
\(85\) −2.25665 + 3.90864i −0.244768 + 0.423951i
\(86\) 3.35518 + 2.81533i 0.361798 + 0.303584i
\(87\) 3.04716 + 17.2813i 0.326690 + 1.85275i
\(88\) 0.546896 + 0.947252i 0.0582993 + 0.100977i
\(89\) −8.43486 + 3.07004i −0.894093 + 0.325423i −0.747883 0.663830i \(-0.768930\pi\)
−0.146210 + 0.989254i \(0.546708\pi\)
\(90\) −9.96127 + 3.62561i −1.05001 + 0.382173i
\(91\) −1.48272 + 8.40891i −0.155431 + 0.881494i
\(92\) −0.186333 + 0.156352i −0.0194266 + 0.0163008i
\(93\) 13.8362 11.6100i 1.43475 1.20390i
\(94\) 0.393310 2.23057i 0.0405669 0.230066i
\(95\) 1.18809 0.432428i 0.121895 0.0443661i
\(96\) 2.95951 1.07717i 0.302054 0.109939i
\(97\) −2.17954 3.77507i −0.221298 0.383300i 0.733904 0.679253i \(-0.237696\pi\)
−0.955203 + 0.295953i \(0.904363\pi\)
\(98\) 2.82750 + 16.0355i 0.285620 + 1.61983i
\(99\) −5.79741 4.86460i −0.582661 0.488911i
\(100\) 1.32635 2.29731i 0.132635 0.229731i
\(101\) 2.19444 + 3.80089i 0.218355 + 0.378203i 0.954305 0.298833i \(-0.0965975\pi\)
−0.735950 + 0.677036i \(0.763264\pi\)
\(102\) −1.61107 + 9.13685i −0.159520 + 0.904683i
\(103\) −6.32262 + 10.9511i −0.622987 + 1.07904i 0.365940 + 0.930638i \(0.380748\pi\)
−0.988927 + 0.148406i \(0.952586\pi\)
\(104\) −1.66286 0.605232i −0.163057 0.0593478i
\(105\) 23.2829 2.27218
\(106\) −5.77859 2.10324i −0.561266 0.204284i
\(107\) 3.27495 + 18.5731i 0.316601 + 1.79553i 0.563098 + 0.826390i \(0.309609\pi\)
−0.246497 + 0.969144i \(0.579279\pi\)
\(108\) −9.45512 + 7.93378i −0.909819 + 0.763429i
\(109\) −6.44574 5.40862i −0.617390 0.518052i 0.279592 0.960119i \(-0.409801\pi\)
−0.896982 + 0.442067i \(0.854245\pi\)
\(110\) −1.67579 −0.159780
\(111\) −10.6491 + 15.9249i −1.01077 + 1.51152i
\(112\) −4.82524 −0.455942
\(113\) −4.89090 4.10395i −0.460097 0.386067i 0.383070 0.923719i \(-0.374867\pi\)
−0.843167 + 0.537652i \(0.819311\pi\)
\(114\) 1.99098 1.67063i 0.186472 0.156469i
\(115\) −0.0647129 0.367005i −0.00603451 0.0342234i
\(116\) 5.23571 + 1.90564i 0.486124 + 0.176935i
\(117\) 12.2438 1.13194
\(118\) −8.29301 3.01841i −0.763433 0.277867i
\(119\) 7.10721 12.3100i 0.651517 1.12846i
\(120\) −0.837893 + 4.75193i −0.0764888 + 0.433790i
\(121\) 4.90181 + 8.49018i 0.445619 + 0.771835i
\(122\) 5.87612 10.1777i 0.531999 0.921449i
\(123\) −7.02539 5.89500i −0.633458 0.531535i
\(124\) −0.995863 5.64782i −0.0894312 0.507189i
\(125\) 5.86231 + 10.1538i 0.524341 + 0.908185i
\(126\) 31.3725 11.4187i 2.79489 1.01726i
\(127\) 4.46592 1.62546i 0.396287 0.144237i −0.136187 0.990683i \(-0.543485\pi\)
0.532474 + 0.846447i \(0.321263\pi\)
\(128\) 0.173648 0.984808i 0.0153485 0.0870455i
\(129\) −10.5670 + 8.86673i −0.930368 + 0.780672i
\(130\) 2.07686 1.74269i 0.182153 0.152844i
\(131\) 3.12341 17.7137i 0.272893 1.54765i −0.472682 0.881233i \(-0.656714\pi\)
0.745575 0.666422i \(-0.232175\pi\)
\(132\) −3.23709 + 1.17821i −0.281753 + 0.102550i
\(133\) −3.74181 + 1.36191i −0.324456 + 0.118092i
\(134\) −4.49200 7.78037i −0.388050 0.672122i
\(135\) −3.28373 18.6229i −0.282618 1.60281i
\(136\) 2.25665 + 1.89356i 0.193506 + 0.162371i
\(137\) −11.0546 + 19.1471i −0.944456 + 1.63585i −0.187619 + 0.982242i \(0.560077\pi\)
−0.756837 + 0.653603i \(0.773256\pi\)
\(138\) −0.383037 0.663440i −0.0326063 0.0564758i
\(139\) −0.462854 + 2.62497i −0.0392587 + 0.222647i −0.998125 0.0612114i \(-0.980504\pi\)
0.958866 + 0.283859i \(0.0916147\pi\)
\(140\) 3.69634 6.40226i 0.312398 0.541089i
\(141\) 6.70325 + 2.43978i 0.564516 + 0.205467i
\(142\) −1.21864 −0.102266
\(143\) 1.81882 + 0.661998i 0.152098 + 0.0553590i
\(144\) 1.20148 + 6.81391i 0.100123 + 0.567826i
\(145\) −6.53925 + 5.48708i −0.543055 + 0.455678i
\(146\) 6.73673 + 5.65279i 0.557536 + 0.467828i
\(147\) −51.2822 −4.22968
\(148\) 2.68834 + 5.45645i 0.220980 + 0.448517i
\(149\) 6.13622 0.502699 0.251349 0.967896i \(-0.419126\pi\)
0.251349 + 0.967896i \(0.419126\pi\)
\(150\) 6.39996 + 5.37020i 0.522555 + 0.438475i
\(151\) −0.334584 + 0.280749i −0.0272281 + 0.0228471i −0.656300 0.754500i \(-0.727879\pi\)
0.629072 + 0.777347i \(0.283435\pi\)
\(152\) −0.143301 0.812698i −0.0116232 0.0659185i
\(153\) −19.1532 6.97120i −1.54845 0.563588i
\(154\) 5.27780 0.425298
\(155\) 8.25656 + 3.00514i 0.663183 + 0.241379i
\(156\) 2.78660 4.82653i 0.223106 0.386432i
\(157\) 1.05255 5.96930i 0.0840025 0.476402i −0.913565 0.406693i \(-0.866682\pi\)
0.997567 0.0697089i \(-0.0222070\pi\)
\(158\) −1.07684 1.86513i −0.0856684 0.148382i
\(159\) 9.68369 16.7726i 0.767966 1.33016i
\(160\) 1.17365 + 0.984808i 0.0927850 + 0.0778559i
\(161\) 0.203810 + 1.15586i 0.0160625 + 0.0910948i
\(162\) −9.05793 15.6888i −0.711658 1.23263i
\(163\) −12.9066 + 4.69763i −1.01093 + 0.367947i −0.793788 0.608194i \(-0.791894\pi\)
−0.217137 + 0.976141i \(0.569672\pi\)
\(164\) −2.73633 + 0.995941i −0.213671 + 0.0777699i
\(165\) 0.916481 5.19762i 0.0713480 0.404634i
\(166\) 3.90207 3.27423i 0.302859 0.254129i
\(167\) 18.2471 15.3112i 1.41201 1.18481i 0.456543 0.889701i \(-0.349087\pi\)
0.955463 0.295112i \(-0.0953570\pi\)
\(168\) 2.63890 14.9660i 0.203596 1.15465i
\(169\) 9.27344 3.37526i 0.713342 0.259635i
\(170\) −4.24112 + 1.54364i −0.325279 + 0.118392i
\(171\) 2.85491 + 4.94486i 0.218321 + 0.378143i
\(172\) 0.760556 + 4.31333i 0.0579919 + 0.328888i
\(173\) 16.4280 + 13.7847i 1.24899 + 1.04803i 0.996766 + 0.0803630i \(0.0256080\pi\)
0.252229 + 0.967668i \(0.418836\pi\)
\(174\) −8.77394 + 15.1969i −0.665151 + 1.15207i
\(175\) −6.39996 11.0851i −0.483791 0.837951i
\(176\) −0.189935 + 1.07717i −0.0143169 + 0.0811951i
\(177\) 13.8973 24.0709i 1.04459 1.80928i
\(178\) −8.43486 3.07004i −0.632220 0.230109i
\(179\) 11.5247 0.861400 0.430700 0.902495i \(-0.358267\pi\)
0.430700 + 0.902495i \(0.358267\pi\)
\(180\) −9.96127 3.62561i −0.742469 0.270237i
\(181\) −3.08553 17.4989i −0.229346 1.30068i −0.854201 0.519943i \(-0.825953\pi\)
0.624855 0.780740i \(-0.285158\pi\)
\(182\) −6.54097 + 5.48853i −0.484849 + 0.406837i
\(183\) 28.3537 + 23.7915i 2.09596 + 1.75872i
\(184\) −0.243241 −0.0179320
\(185\) −9.29916 0.612921i −0.683688 0.0450629i
\(186\) 18.0619 1.32436
\(187\) −2.46831 2.07116i −0.180501 0.151458i
\(188\) 1.73508 1.45590i 0.126544 0.106183i
\(189\) 10.3419 + 58.6520i 0.752265 + 4.26631i
\(190\) 1.18809 + 0.432428i 0.0861928 + 0.0313716i
\(191\) −25.9113 −1.87487 −0.937437 0.348155i \(-0.886808\pi\)
−0.937437 + 0.348155i \(0.886808\pi\)
\(192\) 2.95951 + 1.07717i 0.213585 + 0.0777384i
\(193\) −5.45149 + 9.44225i −0.392407 + 0.679668i −0.992766 0.120062i \(-0.961691\pi\)
0.600360 + 0.799730i \(0.295024\pi\)
\(194\) 0.756945 4.29285i 0.0543455 0.308209i
\(195\) 4.26932 + 7.39467i 0.305732 + 0.529544i
\(196\) −8.14145 + 14.1014i −0.581532 + 1.00724i
\(197\) −4.93573 4.14157i −0.351656 0.295075i 0.449798 0.893130i \(-0.351496\pi\)
−0.801455 + 0.598055i \(0.795940\pi\)
\(198\) −1.31417 7.45300i −0.0933937 0.529662i
\(199\) −9.42779 16.3294i −0.668318 1.15756i −0.978374 0.206843i \(-0.933681\pi\)
0.310056 0.950718i \(-0.399652\pi\)
\(200\) 2.49273 0.907278i 0.176262 0.0641542i
\(201\) 26.5883 9.67734i 1.87539 0.682587i
\(202\) −0.762122 + 4.32221i −0.0536227 + 0.304110i
\(203\) 20.5950 17.2813i 1.44549 1.21291i
\(204\) −7.10721 + 5.96366i −0.497604 + 0.417540i
\(205\) 0.774705 4.39357i 0.0541077 0.306860i
\(206\) −11.8826 + 4.32493i −0.827903 + 0.301332i
\(207\) 1.58149 0.575617i 0.109921 0.0400081i
\(208\) −0.884789 1.53250i −0.0613491 0.106260i
\(209\) 0.156741 + 0.888923i 0.0108420 + 0.0614881i
\(210\) 17.8357 + 14.9660i 1.23078 + 1.03275i
\(211\) 0.707251 1.22499i 0.0486891 0.0843321i −0.840654 0.541573i \(-0.817829\pi\)
0.889343 + 0.457241i \(0.151162\pi\)
\(212\) −3.07472 5.32558i −0.211173 0.365762i
\(213\) 0.666471 3.77975i 0.0456659 0.258984i
\(214\) −9.42983 + 16.3330i −0.644610 + 1.11650i
\(215\) −6.30567 2.29507i −0.430043 0.156523i
\(216\) −12.3428 −0.839820
\(217\) −26.0036 9.46454i −1.76524 0.642495i
\(218\) −1.46113 8.28649i −0.0989603 0.561232i
\(219\) −21.2170 + 17.8032i −1.43371 + 1.20303i
\(220\) −1.28373 1.07717i −0.0865489 0.0726231i
\(221\) 5.21291 0.350659
\(222\) −18.3940 + 5.35404i −1.23452 + 0.359340i
\(223\) −12.1750 −0.815302 −0.407651 0.913138i \(-0.633652\pi\)
−0.407651 + 0.913138i \(0.633652\pi\)
\(224\) −3.69634 3.10160i −0.246972 0.207234i
\(225\) −14.0601 + 11.7978i −0.937339 + 0.786520i
\(226\) −1.10868 6.28761i −0.0737480 0.418246i
\(227\) 20.0154 + 7.28501i 1.32847 + 0.483523i 0.906162 0.422930i \(-0.138998\pi\)
0.422306 + 0.906453i \(0.361221\pi\)
\(228\) 2.59904 0.172125
\(229\) 2.67775 + 0.974622i 0.176951 + 0.0644048i 0.428976 0.903316i \(-0.358874\pi\)
−0.252025 + 0.967721i \(0.581097\pi\)
\(230\) 0.186333 0.322739i 0.0122865 0.0212808i
\(231\) −2.88641 + 16.3696i −0.189912 + 1.07704i
\(232\) 2.78587 + 4.82526i 0.182901 + 0.316794i
\(233\) −11.7583 + 20.3659i −0.770310 + 1.33422i 0.167083 + 0.985943i \(0.446565\pi\)
−0.937393 + 0.348273i \(0.886768\pi\)
\(234\) 9.37927 + 7.87014i 0.613142 + 0.514487i
\(235\) 0.602587 + 3.41744i 0.0393084 + 0.222929i
\(236\) −4.41262 7.64288i −0.287237 0.497509i
\(237\) 6.37382 2.31988i 0.414024 0.150692i
\(238\) 13.3572 4.86162i 0.865818 0.315132i
\(239\) 1.39581 7.91601i 0.0902872 0.512044i −0.905803 0.423700i \(-0.860731\pi\)
0.996090 0.0883447i \(-0.0281577\pi\)
\(240\) −3.69634 + 3.10160i −0.238598 + 0.200208i
\(241\) 14.1349 11.8606i 0.910511 0.764010i −0.0617048 0.998094i \(-0.519654\pi\)
0.972216 + 0.234085i \(0.0752093\pi\)
\(242\) −1.70238 + 9.65468i −0.109433 + 0.620626i
\(243\) 18.8189 6.84951i 1.20723 0.439397i
\(244\) 11.0435 4.01950i 0.706987 0.257322i
\(245\) −12.4734 21.6046i −0.796898 1.38027i
\(246\) −1.59253 9.03167i −0.101536 0.575838i
\(247\) −1.11867 0.938675i −0.0711792 0.0597265i
\(248\) 2.86747 4.96661i 0.182085 0.315380i
\(249\) 8.02132 + 13.8933i 0.508330 + 0.880454i
\(250\) −2.03596 + 11.5465i −0.128765 + 0.730265i
\(251\) −11.6472 + 20.1736i −0.735167 + 1.27335i 0.219483 + 0.975616i \(0.429563\pi\)
−0.954650 + 0.297731i \(0.903770\pi\)
\(252\) 31.3725 + 11.4187i 1.97628 + 0.719308i
\(253\) 0.266055 0.0167267
\(254\) 4.46592 + 1.62546i 0.280217 + 0.101991i
\(255\) −2.46831 13.9985i −0.154571 0.876618i
\(256\) 0.766044 0.642788i 0.0478778 0.0401742i
\(257\) −3.26092 2.73624i −0.203411 0.170682i 0.535392 0.844604i \(-0.320164\pi\)
−0.738803 + 0.673922i \(0.764608\pi\)
\(258\) −13.7942 −0.858788
\(259\) 29.2872 + 1.93036i 1.81982 + 0.119947i
\(260\) 2.71115 0.168139
\(261\) −29.5317 24.7801i −1.82797 1.53385i
\(262\) 13.7788 11.5618i 0.851259 0.714291i
\(263\) −1.19565 6.78086i −0.0737269 0.418126i −0.999225 0.0393727i \(-0.987464\pi\)
0.925498 0.378753i \(-0.123647\pi\)
\(264\) −3.23709 1.17821i −0.199229 0.0725135i
\(265\) 9.42150 0.578758
\(266\) −3.74181 1.36191i −0.229425 0.0835040i
\(267\) 14.1350 24.4826i 0.865050 1.49831i
\(268\) 1.56006 8.84751i 0.0952955 0.540448i
\(269\) −4.83783 8.37936i −0.294968 0.510899i 0.680010 0.733203i \(-0.261976\pi\)
−0.974977 + 0.222304i \(0.928642\pi\)
\(270\) 9.45512 16.3767i 0.575420 0.996657i
\(271\) 5.87002 + 4.92553i 0.356578 + 0.299205i 0.803425 0.595406i \(-0.203009\pi\)
−0.446847 + 0.894610i \(0.647453\pi\)
\(272\) 0.511542 + 2.90110i 0.0310168 + 0.175905i
\(273\) −13.4460 23.2891i −0.813789 1.40952i
\(274\) −20.7758 + 7.56177i −1.25511 + 0.456823i
\(275\) −2.72652 + 0.992374i −0.164416 + 0.0598424i
\(276\) 0.133027 0.754436i 0.00800731 0.0454117i
\(277\) 3.07917 2.58373i 0.185009 0.155241i −0.545579 0.838059i \(-0.683690\pi\)
0.730589 + 0.682818i \(0.239246\pi\)
\(278\) −2.04187 + 1.71333i −0.122463 + 0.102759i
\(279\) −6.89040 + 39.0774i −0.412518 + 2.33950i
\(280\) 6.94686 2.52845i 0.415154 0.151104i
\(281\) 6.57717 2.39389i 0.392361 0.142808i −0.138303 0.990390i \(-0.544165\pi\)
0.530664 + 0.847582i \(0.321943\pi\)
\(282\) 3.56673 + 6.17775i 0.212395 + 0.367880i
\(283\) −0.816946 4.63313i −0.0485624 0.275411i 0.950851 0.309648i \(-0.100211\pi\)
−0.999414 + 0.0342367i \(0.989100\pi\)
\(284\) −0.933535 0.783329i −0.0553951 0.0464820i
\(285\) −1.99098 + 3.44847i −0.117935 + 0.204270i
\(286\) 0.967776 + 1.67624i 0.0572258 + 0.0991179i
\(287\) −2.43989 + 13.8373i −0.144022 + 0.816791i
\(288\) −3.45951 + 5.99205i −0.203854 + 0.353085i
\(289\) 7.82009 + 2.84628i 0.460005 + 0.167428i
\(290\) −8.53639 −0.501274
\(291\) 12.9007 + 4.69549i 0.756255 + 0.275254i
\(292\) 1.52709 + 8.66057i 0.0893663 + 0.506822i
\(293\) −10.9016 + 9.14751i −0.636877 + 0.534403i −0.903057 0.429520i \(-0.858683\pi\)
0.266180 + 0.963923i \(0.414238\pi\)
\(294\) −39.2844 32.9635i −2.29111 1.92247i
\(295\) 13.5210 0.787226
\(296\) −1.44795 + 5.90791i −0.0841605 + 0.343390i
\(297\) 13.5004 0.783374
\(298\) 4.70062 + 3.94429i 0.272299 + 0.228486i
\(299\) −0.329731 + 0.276678i −0.0190689 + 0.0160007i
\(300\) 1.45075 + 8.22763i 0.0837593 + 0.475022i
\(301\) 19.8594 + 7.22822i 1.14468 + 0.416628i
\(302\) −0.436768 −0.0251332
\(303\) −12.9890 4.72760i −0.746197 0.271594i
\(304\) 0.412618 0.714675i 0.0236652 0.0409894i
\(305\) −3.12662 + 17.7319i −0.179030 + 1.01533i
\(306\) −10.1912 17.6517i −0.582593 1.00908i
\(307\) −0.401308 + 0.695086i −0.0229039 + 0.0396707i −0.877250 0.480034i \(-0.840624\pi\)
0.854346 + 0.519704i \(0.173958\pi\)
\(308\) 4.04303 + 3.39251i 0.230373 + 0.193306i
\(309\) −6.91563 39.2205i −0.393417 2.23118i
\(310\) 4.39322 + 7.60929i 0.249518 + 0.432179i
\(311\) 2.32051 0.844598i 0.131584 0.0478928i −0.275389 0.961333i \(-0.588807\pi\)
0.406973 + 0.913440i \(0.366584\pi\)
\(312\) 5.23709 1.90615i 0.296492 0.107914i
\(313\) −3.09856 + 17.5728i −0.175141 + 0.993273i 0.762840 + 0.646587i \(0.223804\pi\)
−0.937981 + 0.346686i \(0.887307\pi\)
\(314\) 4.64329 3.89618i 0.262036 0.219874i
\(315\) −39.1833 + 32.8787i −2.20773 + 1.85251i
\(316\) 0.373981 2.12095i 0.0210381 0.119313i
\(317\) −3.32609 + 1.21060i −0.186812 + 0.0679940i −0.433732 0.901042i \(-0.642804\pi\)
0.246920 + 0.969036i \(0.420581\pi\)
\(318\) 18.1994 6.62403i 1.02057 0.371457i
\(319\) −3.04716 5.27783i −0.170608 0.295502i
\(320\) 0.266044 + 1.50881i 0.0148723 + 0.0843452i
\(321\) −45.5012 38.1800i −2.53963 2.13100i
\(322\) −0.586847 + 1.01645i −0.0327037 + 0.0566445i
\(323\) 1.21551 + 2.10533i 0.0676328 + 0.117143i
\(324\) 3.14579 17.8406i 0.174766 0.991147i
\(325\) 2.34708 4.06527i 0.130193 0.225501i
\(326\) −12.9066 4.69763i −0.714832 0.260178i
\(327\) 26.5005 1.46548
\(328\) −2.73633 0.995941i −0.151088 0.0549917i
\(329\) −1.89782 10.7630i −0.104630 0.593386i
\(330\) 4.04303 3.39251i 0.222562 0.186751i
\(331\) 2.93110 + 2.45948i 0.161108 + 0.135185i 0.719778 0.694205i \(-0.244244\pi\)
−0.558670 + 0.829390i \(0.688688\pi\)
\(332\) 5.09379 0.279558
\(333\) −4.56653 41.8383i −0.250244 2.29273i
\(334\) 23.8199 1.30337
\(335\) 10.5441 + 8.84751i 0.576083 + 0.483391i
\(336\) 11.6414 9.76834i 0.635093 0.532906i
\(337\) −3.71542 21.0712i −0.202392 1.14782i −0.901492 0.432797i \(-0.857527\pi\)
0.699100 0.715024i \(-0.253584\pi\)
\(338\) 9.27344 + 3.37526i 0.504409 + 0.183590i
\(339\) 20.1080 1.09212
\(340\) −4.24112 1.54364i −0.230007 0.0837157i
\(341\) −3.13642 + 5.43244i −0.169847 + 0.294183i
\(342\) −0.991501 + 5.62308i −0.0536142 + 0.304061i
\(343\) 22.3961 + 38.7912i 1.20927 + 2.09453i
\(344\) −2.18994 + 3.79308i −0.118073 + 0.204509i
\(345\) 0.899102 + 0.754436i 0.0484060 + 0.0406175i
\(346\) 3.72392 + 21.1194i 0.200199 + 1.13538i
\(347\) 12.8181 + 22.2016i 0.688113 + 1.19185i 0.972448 + 0.233122i \(0.0748941\pi\)
−0.284334 + 0.958725i \(0.591773\pi\)
\(348\) −16.4896 + 6.00173i −0.883936 + 0.321726i
\(349\) −14.5983 + 5.31334i −0.781428 + 0.284417i −0.701768 0.712406i \(-0.747606\pi\)
−0.0796600 + 0.996822i \(0.525383\pi\)
\(350\) 2.22268 12.6055i 0.118807 0.673790i
\(351\) −16.7316 + 14.0395i −0.893065 + 0.749371i
\(352\) −0.837893 + 0.703076i −0.0446599 + 0.0374741i
\(353\) −0.235520 + 1.33570i −0.0125355 + 0.0710923i −0.990434 0.137989i \(-0.955936\pi\)
0.977898 + 0.209081i \(0.0670473\pi\)
\(354\) 26.1184 9.50632i 1.38818 0.505255i
\(355\) 1.75447 0.638576i 0.0931177 0.0338921i
\(356\) −4.48810 7.77361i −0.237869 0.412000i
\(357\) 7.77381 + 44.0875i 0.411434 + 2.33336i
\(358\) 8.82847 + 7.40796i 0.466599 + 0.391523i
\(359\) 11.1573 19.3251i 0.588862 1.01994i −0.405519 0.914086i \(-0.632909\pi\)
0.994382 0.105853i \(-0.0337573\pi\)
\(360\) −5.30028 9.18036i −0.279349 0.483847i
\(361\) −3.18106 + 18.0407i −0.167424 + 0.949509i
\(362\) 8.88443 15.3883i 0.466955 0.808790i
\(363\) −29.0139 10.5602i −1.52284 0.554267i
\(364\) −8.53863 −0.447546
\(365\) −12.6609 4.60819i −0.662702 0.241204i
\(366\) 6.42725 + 36.4508i 0.335958 + 1.90531i
\(367\) 5.53730 4.64635i 0.289045 0.242538i −0.486722 0.873557i \(-0.661808\pi\)
0.775767 + 0.631019i \(0.217363\pi\)
\(368\) −0.186333 0.156352i −0.00971329 0.00815042i
\(369\) 20.1478 1.04885
\(370\) −6.72959 6.44691i −0.349855 0.335159i
\(371\) −29.6725 −1.54052
\(372\) 13.8362 + 11.6100i 0.717375 + 0.601949i
\(373\) −8.98788 + 7.54173i −0.465375 + 0.390496i −0.845104 0.534602i \(-0.820462\pi\)
0.379729 + 0.925098i \(0.376017\pi\)
\(374\) −0.559520 3.17320i −0.0289321 0.164082i
\(375\) −34.6992 12.6295i −1.79186 0.652183i
\(376\) 2.26498 0.116808
\(377\) 9.26501 + 3.37219i 0.477172 + 0.173677i
\(378\) −29.7784 + 51.5777i −1.53164 + 2.65287i
\(379\) −0.480627 + 2.72577i −0.0246881 + 0.140013i −0.994660 0.103202i \(-0.967091\pi\)
0.969972 + 0.243216i \(0.0782022\pi\)
\(380\) 0.632167 + 1.09495i 0.0324295 + 0.0561695i
\(381\) −7.48394 + 12.9626i −0.383414 + 0.664092i
\(382\) −19.8492 16.6554i −1.01557 0.852167i
\(383\) 3.38122 + 19.1758i 0.172772 + 0.979840i 0.940684 + 0.339284i \(0.110185\pi\)
−0.767912 + 0.640556i \(0.778704\pi\)
\(384\) 1.57472 + 2.72750i 0.0803598 + 0.139187i
\(385\) −7.59842 + 2.76560i −0.387251 + 0.140948i
\(386\) −10.2454 + 3.72904i −0.521479 + 0.189803i
\(387\) 5.26231 29.8440i 0.267498 1.51706i
\(388\) 3.33924 2.80196i 0.169524 0.142248i
\(389\) −1.79849 + 1.50911i −0.0911870 + 0.0765150i −0.687242 0.726429i \(-0.741179\pi\)
0.596055 + 0.802944i \(0.296734\pi\)
\(390\) −1.48272 + 8.40891i −0.0750804 + 0.425802i
\(391\) 0.673338 0.245075i 0.0340522 0.0123940i
\(392\) −15.3009 + 5.56908i −0.772813 + 0.281281i
\(393\) 28.3245 + 49.0595i 1.42878 + 2.47473i
\(394\) −1.11884 6.34525i −0.0563663 0.319669i
\(395\) 2.52765 + 2.12095i 0.127180 + 0.106717i
\(396\) 3.78399 6.55406i 0.190153 0.329354i
\(397\) −1.13774 1.97062i −0.0571015 0.0989026i 0.836062 0.548635i \(-0.184853\pi\)
−0.893163 + 0.449733i \(0.851519\pi\)
\(398\) 3.27424 18.5691i 0.164123 0.930786i
\(399\) 6.27048 10.8608i 0.313917 0.543720i
\(400\) 2.49273 + 0.907278i 0.124636 + 0.0453639i
\(401\) 17.5482 0.876316 0.438158 0.898898i \(-0.355631\pi\)
0.438158 + 0.898898i \(0.355631\pi\)
\(402\) 26.5883 + 9.67734i 1.32610 + 0.482662i
\(403\) −1.76226 9.99426i −0.0877843 0.497850i
\(404\) −3.36208 + 2.82112i −0.167270 + 0.140356i
\(405\) 21.2616 + 17.8406i 1.05650 + 0.886508i
\(406\) 26.8849 1.33428
\(407\) 1.58376 6.46203i 0.0785040 0.320311i
\(408\) −9.27780 −0.459320
\(409\) 17.3730 + 14.5777i 0.859041 + 0.720821i 0.961761 0.273889i \(-0.0883102\pi\)
−0.102720 + 0.994710i \(0.532755\pi\)
\(410\) 3.41759 2.86770i 0.168783 0.141626i
\(411\) −12.0914 68.5738i −0.596425 3.38249i
\(412\) −11.8826 4.32493i −0.585416 0.213074i
\(413\) −42.5838 −2.09541
\(414\) 1.58149 + 0.575617i 0.0777262 + 0.0282900i
\(415\) −3.90207 + 6.75859i −0.191545 + 0.331766i
\(416\) 0.307284 1.74269i 0.0150658 0.0854426i
\(417\) −4.19738 7.27007i −0.205547 0.356017i
\(418\) −0.451318 + 0.781706i −0.0220747 + 0.0382345i
\(419\) 14.4180 + 12.0981i 0.704365 + 0.591032i 0.923012 0.384772i \(-0.125720\pi\)
−0.218647 + 0.975804i \(0.570164\pi\)
\(420\) 4.04303 + 22.9292i 0.197280 + 1.11883i
\(421\) 8.96330 + 15.5249i 0.436844 + 0.756637i 0.997444 0.0714502i \(-0.0227627\pi\)
−0.560600 + 0.828087i \(0.689429\pi\)
\(422\) 1.32920 0.483788i 0.0647043 0.0235504i
\(423\) −14.7264 + 5.35997i −0.716021 + 0.260610i
\(424\) 1.06784 6.05602i 0.0518589 0.294107i
\(425\) −5.98623 + 5.02304i −0.290375 + 0.243653i
\(426\) 2.94012 2.46705i 0.142449 0.119529i
\(427\) 9.84712 55.8458i 0.476536 2.70257i
\(428\) −17.7223 + 6.45039i −0.856639 + 0.311791i
\(429\) −5.72829 + 2.08493i −0.276564 + 0.100661i
\(430\) −3.35518 5.81133i −0.161801 0.280247i
\(431\) 2.12908 + 12.0746i 0.102554 + 0.581613i 0.992169 + 0.124902i \(0.0398616\pi\)
−0.889615 + 0.456711i \(0.849027\pi\)
\(432\) −9.45512 7.93378i −0.454909 0.381714i
\(433\) −10.5573 + 18.2858i −0.507351 + 0.878758i 0.492613 + 0.870249i \(0.336042\pi\)
−0.999964 + 0.00850909i \(0.997291\pi\)
\(434\) −13.8362 23.9651i −0.664161 1.15036i
\(435\) 4.66852 26.4765i 0.223838 1.26945i
\(436\) 4.20716 7.28702i 0.201486 0.348985i
\(437\) −0.188625 0.0686540i −0.00902318 0.00328417i
\(438\) −27.6968 −1.32340
\(439\) 22.6396 + 8.24015i 1.08053 + 0.393281i 0.820105 0.572213i \(-0.193915\pi\)
0.260425 + 0.965494i \(0.416137\pi\)
\(440\) −0.290997 1.65033i −0.0138728 0.0786763i
\(441\) 86.3040 72.4176i 4.10971 3.44846i
\(442\) 3.99332 + 3.35080i 0.189943 + 0.159381i
\(443\) 19.2348 0.913871 0.456936 0.889500i \(-0.348947\pi\)
0.456936 + 0.889500i \(0.348947\pi\)
\(444\) −17.5321 7.72198i −0.832037 0.366469i
\(445\) 13.7523 0.651923
\(446\) −9.32663 7.82597i −0.441629 0.370570i
\(447\) −14.8043 + 12.4223i −0.700222 + 0.587556i
\(448\) −0.837893 4.75193i −0.0395867 0.224508i
\(449\) 6.19008 + 2.25301i 0.292128 + 0.106326i 0.483927 0.875108i \(-0.339210\pi\)
−0.191799 + 0.981434i \(0.561432\pi\)
\(450\) −18.3541 −0.865222
\(451\) 2.99297 + 1.08935i 0.140934 + 0.0512956i
\(452\) 3.19231 5.52924i 0.150153 0.260073i
\(453\) 0.238867 1.35468i 0.0112229 0.0636485i
\(454\) 10.6500 + 18.4463i 0.499828 + 0.865727i
\(455\) 6.54097 11.3293i 0.306646 0.531126i
\(456\) 1.99098 + 1.67063i 0.0932361 + 0.0782344i
\(457\) −5.03427 28.5507i −0.235493 1.33555i −0.841573 0.540144i \(-0.818370\pi\)
0.606080 0.795404i \(-0.292741\pi\)
\(458\) 1.42480 + 2.46783i 0.0665766 + 0.115314i
\(459\) 34.1672 12.4358i 1.59479 0.580455i
\(460\) 0.350192 0.127459i 0.0163278 0.00594283i
\(461\) 6.22553 35.3067i 0.289952 1.64440i −0.397089 0.917780i \(-0.629980\pi\)
0.687041 0.726618i \(-0.258909\pi\)
\(462\) −12.7333 + 10.6845i −0.592408 + 0.497089i
\(463\) −14.2350 + 11.9446i −0.661556 + 0.555111i −0.910553 0.413393i \(-0.864344\pi\)
0.248997 + 0.968504i \(0.419899\pi\)
\(464\) −0.967521 + 5.48708i −0.0449160 + 0.254731i
\(465\) −26.0036 + 9.46454i −1.20589 + 0.438908i
\(466\) −22.0983 + 8.04313i −1.02369 + 0.372591i
\(467\) 0.823127 + 1.42570i 0.0380898 + 0.0659734i 0.884442 0.466650i \(-0.154539\pi\)
−0.846352 + 0.532624i \(0.821206\pi\)
\(468\) 2.12611 + 12.0578i 0.0982793 + 0.557370i
\(469\) −33.2080 27.8648i −1.53340 1.28668i
\(470\) −1.73508 + 3.00524i −0.0800332 + 0.138622i
\(471\) 9.54501 + 16.5324i 0.439811 + 0.761775i
\(472\) 1.53249 8.69116i 0.0705384 0.400043i
\(473\) 2.39533 4.14884i 0.110138 0.190764i
\(474\) 6.37382 + 2.31988i 0.292759 + 0.106556i
\(475\) 2.18911 0.100443
\(476\) 13.3572 + 4.86162i 0.612226 + 0.222832i
\(477\) 7.38842 + 41.9018i 0.338292 + 1.91855i
\(478\) 6.15757 5.16681i 0.281640 0.236324i
\(479\) −26.1002 21.9007i −1.19255 1.00067i −0.999811 0.0194166i \(-0.993819\pi\)
−0.192737 0.981250i \(-0.561736\pi\)
\(480\) −4.82524 −0.220241
\(481\) 4.75723 + 9.65562i 0.216911 + 0.440258i
\(482\) 18.4519 0.840459
\(483\) −2.83168 2.37606i −0.128846 0.108114i
\(484\) −7.51001 + 6.30164i −0.341364 + 0.286438i
\(485\) 1.15971 + 6.57703i 0.0526596 + 0.298647i
\(486\) 18.8189 + 6.84951i 0.853642 + 0.310700i
\(487\) −31.0898 −1.40881 −0.704407 0.709796i \(-0.748787\pi\)
−0.704407 + 0.709796i \(0.748787\pi\)
\(488\) 11.0435 + 4.01950i 0.499915 + 0.181954i
\(489\) 21.6288 37.4621i 0.978086 1.69409i
\(490\) 4.33197 24.5678i 0.195699 1.10986i
\(491\) −17.5270 30.3576i −0.790981 1.37002i −0.925360 0.379089i \(-0.876237\pi\)
0.134379 0.990930i \(-0.457096\pi\)
\(492\) 4.58550 7.94232i 0.206730 0.358067i
\(493\) −12.5735 10.5504i −0.566280 0.475165i
\(494\) −0.253582 1.43813i −0.0114092 0.0647047i
\(495\) 5.79741 + 10.0414i 0.260574 + 0.451328i
\(496\) 5.38909 1.96147i 0.241977 0.0880725i
\(497\) −5.52562 + 2.01116i −0.247858 + 0.0902129i
\(498\) −2.78577 + 15.7989i −0.124834 + 0.707966i
\(499\) −26.9427 + 22.6076i −1.20612 + 1.01205i −0.206686 + 0.978407i \(0.566268\pi\)
−0.999434 + 0.0336472i \(0.989288\pi\)
\(500\) −8.98158 + 7.53644i −0.401669 + 0.337040i
\(501\) −13.0270 + 73.8800i −0.582005 + 3.30071i
\(502\) −21.8897 + 7.96718i −0.976983 + 0.355593i
\(503\) −4.35300 + 1.58436i −0.194091 + 0.0706432i −0.437237 0.899346i \(-0.644043\pi\)
0.243146 + 0.969990i \(0.421821\pi\)
\(504\) 16.6930 + 28.9131i 0.743564 + 1.28789i
\(505\) −1.16764 6.62201i −0.0519593 0.294676i
\(506\) 0.203810 + 0.171017i 0.00906045 + 0.00760262i
\(507\) −15.5403 + 26.9166i −0.690169 + 1.19541i
\(508\) 2.37627 + 4.11582i 0.105430 + 0.182610i
\(509\) −4.14162 + 23.4883i −0.183574 + 1.04110i 0.744199 + 0.667958i \(0.232831\pi\)
−0.927774 + 0.373144i \(0.878280\pi\)
\(510\) 7.10721 12.3100i 0.314713 0.545098i
\(511\) 39.8749 + 14.5133i 1.76396 + 0.642029i
\(512\) 1.00000 0.0441942
\(513\) −9.57142 3.48371i −0.422589 0.153810i
\(514\) −0.739191 4.19216i −0.0326043 0.184908i
\(515\) 14.8411 12.4531i 0.653976 0.548751i
\(516\) −10.5670 8.86673i −0.465184 0.390336i
\(517\) −2.47742 −0.108957
\(518\) 21.1945 + 20.3042i 0.931233 + 0.892115i
\(519\) −67.5405 −2.96470
\(520\) 2.07686 + 1.74269i 0.0910765 + 0.0764222i
\(521\) 14.8610 12.4698i 0.651071 0.546313i −0.256325 0.966591i \(-0.582512\pi\)
0.907396 + 0.420278i \(0.138067\pi\)
\(522\) −6.69430 37.9653i −0.293002 1.66170i
\(523\) −1.82296 0.663503i −0.0797125 0.0290130i 0.301856 0.953353i \(-0.402394\pi\)
−0.381569 + 0.924341i \(0.624616\pi\)
\(524\) 17.9870 0.785765
\(525\) 37.8815 + 13.7878i 1.65329 + 0.601747i
\(526\) 3.44273 5.96299i 0.150110 0.259999i
\(527\) −2.93366 + 16.6376i −0.127792 + 0.724747i
\(528\) −1.72242 2.98332i −0.0749588 0.129832i
\(529\) 11.4704 19.8673i 0.498714 0.863798i
\(530\) 7.21729 + 6.05602i 0.313499 + 0.263057i
\(531\) 10.6033 + 60.1344i 0.460145 + 2.60961i
\(532\) −1.99098 3.44847i −0.0863198 0.149510i
\(533\) −4.84214 + 1.76240i −0.209737 + 0.0763379i
\(534\) 26.5652 9.66893i 1.14959 0.418415i
\(535\) 5.01751 28.4557i 0.216926 1.23025i
\(536\) 6.88214 5.77480i 0.297263 0.249434i
\(537\) −27.8048 + 23.3310i −1.19987 + 1.00681i
\(538\) 1.68016 9.52866i 0.0724368 0.410810i
\(539\) 16.7360 6.09141i 0.720872 0.262376i
\(540\) 17.7698 6.46768i 0.764691 0.278325i
\(541\) 2.15605 + 3.73439i 0.0926958 + 0.160554i 0.908645 0.417570i \(-0.137118\pi\)
−0.815949 + 0.578124i \(0.803785\pi\)
\(542\) 1.33063 + 7.54635i 0.0571553 + 0.324144i
\(543\) 42.8694 + 35.9717i 1.83970 + 1.54370i
\(544\) −1.47293 + 2.55118i −0.0631511 + 0.109381i
\(545\) 6.44574 + 11.1644i 0.276105 + 0.478228i
\(546\) 4.66975 26.4834i 0.199847 1.13339i
\(547\) −8.75830 + 15.1698i −0.374478 + 0.648615i −0.990249 0.139311i \(-0.955511\pi\)
0.615771 + 0.787925i \(0.288845\pi\)
\(548\) −20.7758 7.56177i −0.887498 0.323023i
\(549\) −81.3141 −3.47040
\(550\) −2.72652 0.992374i −0.116259 0.0423150i
\(551\) 0.798433 + 4.52814i 0.0340144 + 0.192905i
\(552\) 0.586847 0.492423i 0.0249779 0.0209589i
\(553\) −7.96071 6.67983i −0.338524 0.284055i
\(554\) 4.01957 0.170775
\(555\) 23.6761 17.3467i 1.00500 0.736327i
\(556\) −2.66547 −0.113041
\(557\) 17.4740 + 14.6624i 0.740398 + 0.621268i 0.932945 0.360020i \(-0.117230\pi\)
−0.192546 + 0.981288i \(0.561675\pi\)
\(558\) −30.3968 + 25.5060i −1.28680 + 1.07975i
\(559\) 1.34586 + 7.63278i 0.0569240 + 0.322832i
\(560\) 6.94686 + 2.52845i 0.293558 + 0.106846i
\(561\) 10.1480 0.428448
\(562\) 6.57717 + 2.39389i 0.277441 + 0.100980i
\(563\) 13.2921 23.0226i 0.560195 0.970287i −0.437284 0.899324i \(-0.644059\pi\)
0.997479 0.0709631i \(-0.0226073\pi\)
\(564\) −1.23871 + 7.02508i −0.0521591 + 0.295809i
\(565\) 4.89090 + 8.47128i 0.205762 + 0.356389i
\(566\) 2.35230 4.07430i 0.0988746 0.171256i
\(567\) −66.9625 56.1882i −2.81216 2.35968i
\(568\) −0.211615 1.20013i −0.00887918 0.0503563i
\(569\) 6.98492 + 12.0982i 0.292823 + 0.507184i 0.974476 0.224491i \(-0.0720720\pi\)
−0.681653 + 0.731676i \(0.738739\pi\)
\(570\) −3.74181 + 1.36191i −0.156727 + 0.0570441i
\(571\) −20.6390 + 7.51199i −0.863717 + 0.314367i −0.735620 0.677395i \(-0.763109\pi\)
−0.128097 + 0.991762i \(0.540887\pi\)
\(572\) −0.336105 + 1.90615i −0.0140533 + 0.0797000i
\(573\) 62.5140 52.4555i 2.61156 2.19136i
\(574\) −10.7635 + 9.03167i −0.449261 + 0.376975i
\(575\) 0.112046 0.635443i 0.00467263 0.0264998i
\(576\) −6.50176 + 2.36645i −0.270907 + 0.0986019i
\(577\) −29.6115 + 10.7777i −1.23274 + 0.448682i −0.874536 0.484961i \(-0.838834\pi\)
−0.358207 + 0.933642i \(0.616612\pi\)
\(578\) 4.16098 + 7.20703i 0.173074 + 0.299773i
\(579\) −5.96279 33.8167i −0.247805 1.40537i
\(580\) −6.53925 5.48708i −0.271528 0.227839i
\(581\) 12.2894 21.2858i 0.509849 0.883085i
\(582\) 6.86434 + 11.8894i 0.284536 + 0.492831i
\(583\) −1.16800 + 6.62403i −0.0483734 + 0.274339i
\(584\) −4.39709 + 7.61598i −0.181953 + 0.315151i
\(585\) −17.6273 6.41580i −0.728797 0.265261i
\(586\) −14.2310 −0.587877
\(587\) 39.3494 + 14.3220i 1.62412 + 0.591133i 0.984162 0.177273i \(-0.0567274\pi\)
0.639963 + 0.768406i \(0.278950\pi\)
\(588\) −8.90505 50.5031i −0.367238 2.08271i
\(589\) 3.62544 3.04211i 0.149384 0.125348i
\(590\) 10.3577 + 8.69116i 0.426421 + 0.357809i
\(591\) 20.2923 0.834715
\(592\) −4.90673 + 3.59500i −0.201665 + 0.147754i
\(593\) −30.7471 −1.26263 −0.631316 0.775525i \(-0.717485\pi\)
−0.631316 + 0.775525i \(0.717485\pi\)
\(594\) 10.3419 + 8.67791i 0.424335 + 0.356059i
\(595\) −16.6827 + 13.9985i −0.683925 + 0.573881i
\(596\) 1.06554 + 6.04300i 0.0436463 + 0.247531i
\(597\) 55.8033 + 20.3108i 2.28388 + 0.831264i
\(598\) −0.430434 −0.0176017
\(599\) −28.2700 10.2894i −1.15508 0.420415i −0.307742 0.951470i \(-0.599573\pi\)
−0.847337 + 0.531055i \(0.821796\pi\)
\(600\) −4.17728 + 7.23526i −0.170537 + 0.295378i
\(601\) 5.27054 29.8907i 0.214990 1.21927i −0.665935 0.746010i \(-0.731967\pi\)
0.880924 0.473257i \(-0.156922\pi\)
\(602\) 10.5670 + 18.3025i 0.430677 + 0.745954i
\(603\) −31.0803 + 53.8326i −1.26569 + 2.19223i
\(604\) −0.334584 0.280749i −0.0136140 0.0114235i
\(605\) −2.60820 14.7918i −0.106038 0.601373i
\(606\) −6.91129 11.9707i −0.280752 0.486277i
\(607\) 1.08095 0.393434i 0.0438744 0.0159690i −0.319990 0.947421i \(-0.603679\pi\)
0.363864 + 0.931452i \(0.381457\pi\)
\(608\) 0.775468 0.282247i 0.0314494 0.0114466i
\(609\) −14.7033 + 83.3863i −0.595806 + 3.37898i
\(610\) −13.7930 + 11.5737i −0.558462 + 0.468605i
\(611\) 3.07036 2.57634i 0.124213 0.104227i
\(612\) 3.53937 20.0728i 0.143071 0.811393i
\(613\) 14.5282 5.28784i 0.586789 0.213574i −0.0315273 0.999503i \(-0.510037\pi\)
0.618317 + 0.785929i \(0.287815\pi\)
\(614\) −0.754213 + 0.274511i −0.0304375 + 0.0110784i
\(615\) 7.02539 + 12.1683i 0.283291 + 0.490675i
\(616\) 0.916481 + 5.19762i 0.0369261 + 0.209418i
\(617\) 16.0733 + 13.4871i 0.647086 + 0.542970i 0.906185 0.422881i \(-0.138981\pi\)
−0.259099 + 0.965851i \(0.583426\pi\)
\(618\) 19.9128 34.4899i 0.801009 1.38739i
\(619\) −15.4275 26.7212i −0.620084 1.07402i −0.989470 0.144741i \(-0.953765\pi\)
0.369386 0.929276i \(-0.379568\pi\)
\(620\) −1.52575 + 8.65296i −0.0612756 + 0.347511i
\(621\) −1.50113 + 2.60004i −0.0602384 + 0.104336i
\(622\) 2.32051 + 0.844598i 0.0930441 + 0.0338653i
\(623\) −43.3122 −1.73527
\(624\) 5.23709 + 1.90615i 0.209651 + 0.0763069i
\(625\) −0.816085 4.62825i −0.0326434 0.185130i
\(626\) −13.6692 + 11.4698i −0.546331 + 0.458426i
\(627\) −2.17772 1.82732i −0.0869696 0.0729761i
\(628\) 6.06139 0.241876
\(629\) −1.94425 17.8131i −0.0775222 0.710255i
\(630\) −51.1502 −2.03787
\(631\) 4.47641 + 3.75615i 0.178203 + 0.149530i 0.727526 0.686080i \(-0.240670\pi\)
−0.549323 + 0.835610i \(0.685114\pi\)
\(632\) 1.64981 1.38435i 0.0656258 0.0550666i
\(633\) 0.773585 + 4.38722i 0.0307472 + 0.174376i
\(634\) −3.32609 1.21060i −0.132096 0.0480790i
\(635\) −7.28131 −0.288950
\(636\) 18.1994 + 6.62403i 0.721652 + 0.262660i
\(637\) −14.4069 + 24.9535i −0.570824 + 0.988695i
\(638\) 1.05827 6.00173i 0.0418972 0.237611i
\(639\) 4.21591 + 7.30218i 0.166779 + 0.288870i
\(640\) −0.766044 + 1.32683i −0.0302806 + 0.0524475i
\(641\) 22.8599 + 19.1817i 0.902912 + 0.757633i 0.970757 0.240062i \(-0.0771679\pi\)
−0.0678451 + 0.997696i \(0.521612\pi\)
\(642\) −10.3143 58.4952i −0.407072 2.30862i
\(643\) −7.18117 12.4382i −0.283198 0.490513i 0.688973 0.724787i \(-0.258062\pi\)
−0.972171 + 0.234274i \(0.924729\pi\)
\(644\) −1.10291 + 0.401427i −0.0434608 + 0.0158184i
\(645\) 19.8594 7.22822i 0.781962 0.284611i
\(646\) −0.422142 + 2.39409i −0.0166090 + 0.0941941i
\(647\) 7.11852 5.97315i 0.279858 0.234829i −0.492044 0.870570i \(-0.663750\pi\)
0.771902 + 0.635742i \(0.219306\pi\)
\(648\) 13.8776 11.6446i 0.545162 0.457445i
\(649\) −1.67622 + 9.50632i −0.0657974 + 0.373156i
\(650\) 4.41108 1.60550i 0.173017 0.0629729i
\(651\) 81.8971 29.8081i 3.20980 1.16827i
\(652\) −6.86747 11.8948i −0.268951 0.465837i
\(653\) −7.38987 41.9101i −0.289188 1.64007i −0.689930 0.723876i \(-0.742359\pi\)
0.400742 0.916191i \(-0.368752\pi\)
\(654\) 20.3005 + 17.0342i 0.793814 + 0.666089i
\(655\) −13.7788 + 23.8656i −0.538383 + 0.932507i
\(656\) −1.45597 2.52181i −0.0568460 0.0984602i
\(657\) 10.5660 59.9227i 0.412219 2.33781i
\(658\) 5.46454 9.46486i 0.213030 0.368979i
\(659\) −10.3196 3.75603i −0.401995 0.146314i 0.133107 0.991102i \(-0.457505\pi\)
−0.535102 + 0.844788i \(0.679727\pi\)
\(660\) 5.27780 0.205438
\(661\) −31.5074 11.4678i −1.22550 0.446044i −0.353444 0.935456i \(-0.614989\pi\)
−0.872053 + 0.489412i \(0.837212\pi\)
\(662\) 0.664426 + 3.76815i 0.0258237 + 0.146453i
\(663\) −12.5768 + 10.5532i −0.488441 + 0.409851i
\(664\) 3.90207 + 3.27423i 0.151430 + 0.127065i
\(665\) 6.10071 0.236575
\(666\) 23.3950 34.9853i 0.906538 1.35565i
\(667\) 1.35527 0.0524764
\(668\) 18.2471 + 15.3112i 0.706003 + 0.592407i
\(669\) 29.3737 24.6475i 1.13565 0.952927i
\(670\) 2.39014 + 13.5552i 0.0923393 + 0.523682i
\(671\) −12.0793 4.39650i −0.466316 0.169725i
\(672\) 15.1968 0.586231
\(673\) 41.1753 + 14.9866i 1.58719 + 0.577691i 0.976752 0.214372i \(-0.0687704\pi\)
0.610440 + 0.792063i \(0.290993\pi\)
\(674\) 10.6981 18.5297i 0.412076 0.713737i
\(675\) 5.68554 32.2443i 0.218837 1.24108i
\(676\) 4.93430 + 8.54645i 0.189781 + 0.328710i
\(677\) 1.08790 1.88429i 0.0418113 0.0724192i −0.844362 0.535772i \(-0.820021\pi\)
0.886174 + 0.463353i \(0.153354\pi\)
\(678\) 15.4036 + 12.9252i 0.591573 + 0.496388i
\(679\) −3.65244 20.7140i −0.140168 0.794931i
\(680\) −2.25665 3.90864i −0.0865387 0.149889i
\(681\) −63.0375 + 22.9438i −2.41560 + 0.879207i
\(682\) −5.89454 + 2.14544i −0.225714 + 0.0821531i
\(683\) −5.50558 + 31.2237i −0.210665 + 1.19474i 0.677607 + 0.735424i \(0.263017\pi\)
−0.888272 + 0.459318i \(0.848094\pi\)
\(684\) −4.37398 + 3.67021i −0.167243 + 0.140334i
\(685\) 25.9484 21.7733i 0.991436 0.831913i
\(686\) −7.77808 + 44.1117i −0.296968 + 1.68419i
\(687\) −8.43344 + 3.06952i −0.321756 + 0.117110i
\(688\) −4.11573 + 1.49800i −0.156911 + 0.0571109i
\(689\) −5.44097 9.42403i −0.207284 0.359027i
\(690\) 0.203810 + 1.15586i 0.00775891 + 0.0440030i
\(691\) 19.5271 + 16.3852i 0.742847 + 0.623323i 0.933601 0.358315i \(-0.116649\pi\)
−0.190754 + 0.981638i \(0.561093\pi\)
\(692\) −10.7226 + 18.5721i −0.407612 + 0.706004i
\(693\) −18.2586 31.6249i −0.693588 1.20133i
\(694\) −4.45169 + 25.2468i −0.168984 + 0.958355i
\(695\) 2.04187 3.53662i 0.0774525 0.134152i
\(696\) −16.4896 6.00173i −0.625037 0.227495i
\(697\) 8.57813 0.324920
\(698\) −14.5983 5.31334i −0.552553 0.201113i
\(699\) −12.8611 72.9390i −0.486452 2.75880i
\(700\) 9.80531 8.22763i 0.370606 0.310975i
\(701\) −13.7802 11.5629i −0.520470 0.436726i 0.344325 0.938850i \(-0.388108\pi\)
−0.864796 + 0.502124i \(0.832552\pi\)
\(702\) −21.8415 −0.824355
\(703\) −2.79033 + 4.17272i −0.105239 + 0.157377i
\(704\) −1.09379 −0.0412238
\(705\) −8.37216 7.02508i −0.315314 0.264580i
\(706\) −1.03899 + 0.871818i −0.0391030 + 0.0328113i
\(707\) 3.67742 + 20.8557i 0.138304 + 0.784359i
\(708\) 26.1184 + 9.50632i 0.981590 + 0.357269i
\(709\) 27.8902 1.04744 0.523719 0.851891i \(-0.324544\pi\)
0.523719 + 0.851891i \(0.324544\pi\)
\(710\) 1.75447 + 0.638576i 0.0658442 + 0.0239653i
\(711\) −7.45066 + 12.9049i −0.279421 + 0.483972i
\(712\) 1.55870 8.83982i 0.0584147 0.331286i
\(713\) −0.697487 1.20808i −0.0261211 0.0452430i
\(714\) −22.3838 + 38.7699i −0.837692 + 1.45093i
\(715\) −2.27166 1.90615i −0.0849551 0.0712858i
\(716\) 2.00125 + 11.3497i 0.0747903 + 0.424157i
\(717\) 12.6578 + 21.9240i 0.472716 + 0.818768i
\(718\) 20.9690 7.63208i 0.782555 0.284827i
\(719\) 25.7753 9.38145i 0.961257 0.349869i 0.186731 0.982411i \(-0.440211\pi\)
0.774526 + 0.632542i \(0.217988\pi\)
\(720\) 1.84077 10.4395i 0.0686014 0.389058i
\(721\) −46.7412 + 39.2205i −1.74073 + 1.46065i
\(722\) −14.0332 + 11.7752i −0.522260 + 0.438228i
\(723\) −10.0912 + 57.2303i −0.375297 + 2.12842i
\(724\) 16.6973 6.07731i 0.620549 0.225861i
\(725\) −13.8888 + 5.05511i −0.515817 + 0.187742i
\(726\) −15.4380 26.7394i −0.572958 0.992392i
\(727\) 1.76832 + 10.0286i 0.0655832 + 0.371941i 0.999881 + 0.0154465i \(0.00491696\pi\)
−0.934298 + 0.356494i \(0.883972\pi\)
\(728\) −6.54097 5.48853i −0.242425 0.203418i
\(729\) −4.36265 + 7.55633i −0.161580 + 0.279864i
\(730\) −6.73673 11.6684i −0.249338 0.431865i
\(731\) 2.24049 12.7064i 0.0828673 0.469964i
\(732\) −18.5065 + 32.0543i −0.684021 + 1.18476i
\(733\) 33.0879 + 12.0430i 1.22213 + 0.444819i 0.870895 0.491469i \(-0.163540\pi\)
0.351234 + 0.936288i \(0.385762\pi\)
\(734\) 7.22844 0.266807
\(735\) 73.8305 + 26.8721i 2.72328 + 0.991193i
\(736\) −0.0422383 0.239545i −0.00155693 0.00882976i
\(737\) −7.52763 + 6.31643i −0.277284 + 0.232669i
\(738\) 15.4341 + 12.9507i 0.568137 + 0.476723i
\(739\) −8.78122 −0.323022 −0.161511 0.986871i \(-0.551637\pi\)
−0.161511 + 0.986871i \(0.551637\pi\)
\(740\) −1.01117 9.26431i −0.0371714 0.340563i
\(741\) 4.59920 0.168956
\(742\) −22.7305 19.0731i −0.834462 0.700197i
\(743\) 11.2952 9.47778i 0.414380 0.347706i −0.411640 0.911346i \(-0.635044\pi\)
0.826020 + 0.563640i \(0.190600\pi\)
\(744\) 3.13642 + 17.7875i 0.114987 + 0.652122i
\(745\) −8.83427 3.21541i −0.323663 0.117804i
\(746\) −11.7328 −0.429570
\(747\) −33.1186 12.0542i −1.21175 0.441040i
\(748\) 1.61107 2.79046i 0.0589067 0.102029i
\(749\) −15.8024 + 89.6198i −0.577407 + 3.27464i
\(750\) −18.4630 31.9789i −0.674175 1.16771i
\(751\) 17.4428 30.2118i 0.636496 1.10244i −0.349700 0.936862i \(-0.613716\pi\)
0.986196 0.165582i \(-0.0529503\pi\)
\(752\) 1.73508 + 1.45590i 0.0632718 + 0.0530914i
\(753\) −12.7397 72.2502i −0.464259 2.63294i
\(754\) 4.92981 + 8.53868i 0.179533 + 0.310960i
\(755\) 0.628812 0.228869i 0.0228848 0.00832939i
\(756\) −55.9651 + 20.3696i −2.03543 + 0.740836i
\(757\) 9.03260 51.2264i 0.328296 1.86186i −0.157129 0.987578i \(-0.550224\pi\)
0.485425 0.874278i \(-0.338665\pi\)
\(758\) −2.12027 + 1.77912i −0.0770117 + 0.0646205i
\(759\) −0.641889 + 0.538609i −0.0232991 + 0.0195503i
\(760\) −0.219549 + 1.24513i −0.00796389 + 0.0451655i
\(761\) −5.60441 + 2.03984i −0.203160 + 0.0739441i −0.441596 0.897214i \(-0.645587\pi\)
0.238436 + 0.971158i \(0.423365\pi\)
\(762\) −14.0652 + 5.11931i −0.509528 + 0.185453i
\(763\) −20.3005 35.1616i −0.734929 1.27293i
\(764\) −4.49945 25.5176i −0.162784 0.923195i
\(765\) 23.9218 + 20.0728i 0.864894 + 0.725732i
\(766\) −9.73583 + 16.8629i −0.351770 + 0.609283i
\(767\) −7.80847 13.5247i −0.281948 0.488348i
\(768\) −0.546896 + 3.10160i −0.0197344 + 0.111919i
\(769\) −18.5451 + 32.1210i −0.668753 + 1.15831i 0.309500 + 0.950900i \(0.399838\pi\)
−0.978253 + 0.207415i \(0.9