Properties

Label 74.2.f.b.49.1
Level $74$
Weight $2$
Character 74.49
Analytic conductor $0.591$
Analytic rank $0$
Dimension $12$
CM no
Inner twists $2$

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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 49.1
Root \(-2.20976 + 0.342020i\) of defining polynomial
Character \(\chi\) \(=\) 74.49
Dual form 74.2.f.b.71.1

$q$-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 \(\left(\mathbb{Z}/74\mathbb{Z}\right)^\times\).

\(n\) \(39\)
\(\chi(n)\) \(e\left(\frac{7}{9}\right)\)

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 −0.964139 0.265397i \(-0.914497\pi\)
−0.428786 0.903406i \(-0.641059\pi\)
\(4\) 0.173648 0.984808i 0.0868241 0.492404i
\(5\) −1.43969 + 0.524005i −0.643850 + 0.234342i −0.643248 0.765658i \(-0.722414\pi\)
−0.000601695 1.00000i \(0.500192\pi\)
\(6\) −3.14945 −1.28576
\(7\) 4.53424 1.65033i 1.71378 0.623765i 0.716509 0.697578i \(-0.245739\pi\)
0.997272 + 0.0738128i \(0.0235167\pi\)
\(8\) −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 0.936618 0.350352i \(-0.113938\pi\)
−0.771723 + 0.635959i \(0.780605\pi\)
\(12\) −2.41262 + 2.02443i −0.696463 + 0.584402i
\(13\) 0.307284 1.74269i 0.0852253 0.483337i −0.912082 0.410007i \(-0.865526\pi\)
0.997308 0.0733298i \(-0.0233626\pi\)
\(14\) 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 0.981858 + 0.189620i \(0.0607255\pi\)
−0.857791 + 0.513999i \(0.828163\pi\)
\(18\) 5.30028 + 4.44747i 1.24929 + 1.04828i
\(19\) −0.632167 0.530451i −0.145029 0.121694i 0.567387 0.823451i \(-0.307954\pi\)
−0.712416 + 0.701758i \(0.752399\pi\)
\(20\) 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 −0.853067 0.521801i \(-0.825260\pi\)
0.878427 + 0.477877i \(0.158594\pi\)
\(24\) −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 0.999798 + 0.0201189i \(0.00640447\pi\)
−0.482475 + 0.875910i \(0.660262\pi\)
\(30\) 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 −0.919526 0.393029i \(-0.871427\pi\)
0.998496 0.0548301i \(-0.0174617\pi\)
\(42\) −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 −0.936723 0.350071i \(-0.886157\pi\)
0.771532 + 0.636190i \(0.219491\pi\)
\(48\) 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 −0.0868564 0.996221i \(-0.527682\pi\)
−0.706894 + 0.707319i \(0.749904\pi\)
\(54\) −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 −0.259878 0.965642i \(-0.583682\pi\)
−0.819780 + 0.572678i \(0.805904\pi\)
\(60\) 2.41262 4.17878i 0.311468 0.539478i
\(61\) −2.04075 + 11.5737i −0.261292 + 1.48186i 0.518098 + 0.855321i \(0.326640\pi\)
−0.779390 + 0.626539i \(0.784471\pi\)
\(62\) −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 −0.801606 0.597853i \(-0.796021\pi\)
−0.229773 + 0.973244i \(0.573798\pi\)
\(68\) 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 0.585710 0.810521i \(-0.300816\pi\)
−0.696500 + 0.717557i \(0.745260\pi\)
\(72\) 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 −0.453348 0.891334i \(-0.649770\pi\)
0.225654 + 0.974208i \(0.427548\pi\)
\(80\) 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 0.994087 + 0.108586i \(0.0346324\pi\)
−0.896997 + 0.442036i \(0.854256\pi\)
\(84\) −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 −0.146210 0.989254i \(-0.546708\pi\)
−0.747883 + 0.663830i \(0.768930\pi\)
\(90\) −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 −0.955203 0.295953i \(-0.904363\pi\)
0.733904 + 0.679253i \(0.237696\pi\)
\(98\) 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 −0.735950 0.677036i \(-0.763264\pi\)
0.954305 + 0.298833i \(0.0965975\pi\)
\(102\) −1.61107 9.13685i −0.159520 0.904683i
\(103\) −6.32262 10.9511i −0.622987 1.07904i −0.988927 0.148406i \(-0.952586\pi\)
0.365940 0.930638i \(-0.380748\pi\)
\(104\) −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 −0.246497 0.969144i \(-0.579279\pi\)
0.563098 0.826390i \(-0.309609\pi\)
\(108\) −9.45512 7.93378i −0.909819 0.763429i
\(109\) −6.44574 + 5.40862i −0.617390 + 0.518052i −0.896982 0.442067i \(-0.854245\pi\)
0.279592 + 0.960119i \(0.409801\pi\)
\(110\) −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 −0.843167 0.537652i \(-0.819311\pi\)
0.383070 + 0.923719i \(0.374867\pi\)
\(114\) 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 0.532474 0.846447i \(-0.321263\pi\)
−0.136187 + 0.990683i \(0.543485\pi\)
\(128\) 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 0.745575 + 0.666422i \(0.232175\pi\)
−0.472682 + 0.881233i \(0.656714\pi\)
\(132\) −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 −0.756837 0.653603i \(-0.773256\pi\)
−0.187619 0.982242i \(-0.560077\pi\)
\(138\) −0.383037 + 0.663440i −0.0326063 + 0.0564758i
\(139\) −0.462854 2.62497i −0.0392587 0.222647i 0.958866 0.283859i \(-0.0916147\pi\)
−0.998125 + 0.0612114i \(0.980504\pi\)
\(140\) 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 0.629072 0.777347i \(-0.283435\pi\)
−0.656300 + 0.754500i \(0.727879\pi\)
\(152\) −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 0.997567 + 0.0697089i \(0.0222070\pi\)
−0.913565 + 0.406693i \(0.866682\pi\)
\(158\) −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 −0.217137 0.976141i \(-0.569672\pi\)
−0.793788 + 0.608194i \(0.791894\pi\)
\(164\) −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 0.955463 + 0.295112i \(0.0953570\pi\)
0.456543 + 0.889701i \(0.349087\pi\)
\(168\) 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 0.252229 0.967668i \(-0.418836\pi\)
0.996766 0.0803630i \(-0.0256080\pi\)
\(174\) −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 0.624855 + 0.780740i \(0.285158\pi\)
−0.854201 + 0.519943i \(0.825953\pi\)
\(182\) −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 0.600360 0.799730i \(-0.295024\pi\)
−0.992766 + 0.120062i \(0.961691\pi\)
\(194\) 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 −0.801455 0.598055i \(-0.795940\pi\)
0.449798 + 0.893130i \(0.351496\pi\)
\(198\) −1.31417 + 7.45300i −0.0933937 + 0.529662i
\(199\) −9.42779 + 16.3294i −0.668318 + 1.15756i 0.310056 + 0.950718i \(0.399652\pi\)
−0.978374 + 0.206843i \(0.933681\pi\)
\(200\) 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 0.889343 0.457241i \(-0.151162\pi\)
−0.840654 + 0.541573i \(0.817829\pi\)
\(212\) −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 0.422306 0.906453i \(-0.361221\pi\)
0.906162 + 0.422930i \(0.138998\pi\)
\(228\) 2.59904 0.172125
\(229\) 2.67775 0.974622i 0.176951 0.0644048i −0.252025 0.967721i \(-0.581097\pi\)
0.428976 + 0.903316i \(0.358874\pi\)
\(230\) 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 −0.937393 0.348273i \(-0.886768\pi\)
0.167083 0.985943i \(-0.446565\pi\)
\(234\) 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 0.996090 + 0.0883447i \(0.0281577\pi\)
−0.905803 + 0.423700i \(0.860731\pi\)
\(240\) −3.69634 3.10160i −0.238598 0.200208i
\(241\) 14.1349 + 11.8606i 0.910511 + 0.764010i 0.972216 0.234085i \(-0.0752093\pi\)
−0.0617048 + 0.998094i \(0.519654\pi\)
\(242\) −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 −0.954650 0.297731i \(-0.903770\pi\)
0.219483 0.975616i \(-0.429563\pi\)
\(252\) 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 −0.738803 0.673922i \(-0.764608\pi\)
0.535392 + 0.844604i \(0.320164\pi\)
\(258\) −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 0.925498 + 0.378753i \(0.123647\pi\)
−0.999225 + 0.0393727i \(0.987464\pi\)
\(264\) −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 −0.974977 0.222304i \(-0.928642\pi\)
0.680010 + 0.733203i \(0.261976\pi\)
\(270\) 9.45512 + 16.3767i 0.575420 + 0.996657i
\(271\) 5.87002 4.92553i 0.356578 0.299205i −0.446847 0.894610i \(-0.647453\pi\)
0.803425 + 0.595406i \(0.203009\pi\)
\(272\) 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 0.730589 0.682818i \(-0.239246\pi\)
−0.545579 + 0.838059i \(0.683690\pi\)
\(278\) −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 0.530664 0.847582i \(-0.321943\pi\)
−0.138303 + 0.990390i \(0.544165\pi\)
\(282\) 3.56673 6.17775i 0.212395 0.367880i
\(283\) −0.816946 + 4.63313i −0.0485624 + 0.275411i −0.999414 0.0342367i \(-0.989100\pi\)
0.950851 + 0.309648i \(0.100211\pi\)
\(284\) −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 0.266180 0.963923i \(-0.414238\pi\)
−0.903057 + 0.429520i \(0.858683\pi\)
\(294\) −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 0.854346 0.519704i \(-0.173958\pi\)
−0.877250 + 0.480034i \(0.840624\pi\)
\(308\) 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 0.406973 0.913440i \(-0.366584\pi\)
−0.275389 + 0.961333i \(0.588807\pi\)
\(312\) 5.23709 + 1.90615i 0.296492 + 0.107914i
\(313\) −3.09856 17.5728i −0.175141 0.993273i −0.937981 0.346686i \(-0.887307\pi\)
0.762840 0.646587i \(-0.223804\pi\)
\(314\) 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 0.246920 0.969036i \(-0.420581\pi\)
−0.433732 + 0.901042i \(0.642804\pi\)
\(318\) 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 −0.558670 0.829390i \(-0.688688\pi\)
0.719778 + 0.694205i \(0.244244\pi\)
\(332\) 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 0.699100 + 0.715024i \(0.253584\pi\)
−0.901492 + 0.432797i \(0.857527\pi\)
\(338\) 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 −0.284334 0.958725i \(-0.591773\pi\)
0.972448 0.233122i \(-0.0748941\pi\)
\(348\) −16.4896 6.00173i −0.883936 0.321726i
\(349\) −14.5983 5.31334i −0.781428 0.284417i −0.0796600 0.996822i \(-0.525383\pi\)
−0.701768 + 0.712406i \(0.747606\pi\)
\(350\) 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 0.977898 0.209081i \(-0.0670473\pi\)
−0.990434 + 0.137989i \(0.955936\pi\)
\(354\) 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 0.994382 + 0.105853i \(0.0337573\pi\)
−0.405519 + 0.914086i \(0.632909\pi\)
\(360\) −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 0.775767 0.631019i \(-0.217363\pi\)
−0.486722 + 0.873557i \(0.661808\pi\)
\(368\) −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 0.379729 0.925098i \(-0.376017\pi\)
−0.845104 + 0.534602i \(0.820462\pi\)
\(374\) −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 0.969972 0.243216i \(-0.0782022\pi\)
−0.994660 + 0.103202i \(0.967091\pi\)
\(380\) 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 −0.767912 0.640556i \(-0.778704\pi\)
0.940684 0.339284i \(-0.110185\pi\)
\(384\) 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 0.596055 0.802944i \(-0.296734\pi\)
−0.687242 + 0.726429i \(0.741179\pi\)
\(390\) −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 −0.893163 0.449733i \(-0.851519\pi\)
0.836062 + 0.548635i \(0.184853\pi\)
\(398\) 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 −0.102720 0.994710i \(-0.532755\pi\)
0.961761 + 0.273889i \(0.0883102\pi\)
\(410\) 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 −0.218647 0.975804i \(-0.570164\pi\)
0.923012 + 0.384772i \(0.125720\pi\)
\(420\) 4.04303 22.9292i 0.197280 1.11883i
\(421\) 8.96330 15.5249i 0.436844 0.756637i −0.560600 0.828087i \(-0.689429\pi\)
0.997444 + 0.0714502i \(0.0227627\pi\)
\(422\) 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 −0.889615 0.456711i \(-0.849027\pi\)
0.992169 0.124902i \(-0.0398616\pi\)
\(432\) −9.45512 + 7.93378i −0.454909 + 0.381714i
\(433\) −10.5573 18.2858i −0.507351 0.878758i −0.999964 0.00850909i \(-0.997291\pi\)
0.492613 0.870249i \(-0.336042\pi\)
\(434\) −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 0.260425 0.965494i \(-0.416137\pi\)
0.820105 + 0.572213i \(0.193915\pi\)
\(440\) −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 −0.191799 0.981434i \(-0.561432\pi\)
0.483927 + 0.875108i \(0.339210\pi\)
\(450\) −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 0.606080 + 0.795404i \(0.292741\pi\)
−0.841573 + 0.540144i \(0.818370\pi\)
\(458\) 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 0.687041 + 0.726618i \(0.258909\pi\)
−0.397089 + 0.917780i \(0.629980\pi\)
\(462\) −12.7333 10.6845i −0.592408 0.497089i
\(463\) −14.2350 11.9446i −0.661556 0.555111i 0.248997 0.968504i \(-0.419899\pi\)
−0.910553 + 0.413393i \(0.864344\pi\)
\(464\) −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 −0.846352 0.532624i \(-0.821206\pi\)
0.884442 + 0.466650i \(0.154539\pi\)
\(468\) 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 −0.192737 + 0.981250i \(0.561736\pi\)
−0.999811 + 0.0194166i \(0.993819\pi\)
\(480\) −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 0.134379 + 0.990930i \(0.457096\pi\)
−0.925360 + 0.379089i \(0.876237\pi\)
\(492\) 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 −0.999434 0.0336472i \(-0.989288\pi\)
−0.206686 0.978407i \(-0.566268\pi\)
\(500\) −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 0.243146 0.969990i \(-0.421821\pi\)
−0.437237 + 0.899346i \(0.644043\pi\)
\(504\) 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 −0.927774 0.373144i \(-0.878280\pi\)
0.744199 0.667958i \(-0.232831\pi\)
\(510\) 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 0.907396 0.420278i \(-0.138067\pi\)
−0.256325 + 0.966591i \(0.582512\pi\)
\(522\) −6.69430 + 37.9653i −0.293002 + 1.66170i
\(523\) −1.82296 + 0.663503i −0.0797125 + 0.0290130i −0.381569 0.924341i \(-0.624616\pi\)
0.301856 + 0.953353i \(0.402394\pi\)
\(524\) 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 −0.815949 0.578124i \(-0.803785\pi\)
0.908645 + 0.417570i \(0.137118\pi\)
\(542\) 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 0.615771 0.787925i \(-0.288845\pi\)
−0.990249 + 0.139311i \(0.955511\pi\)
\(548\) −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 −0.192546 0.981288i \(-0.561675\pi\)
0.932945 + 0.360020i \(0.117230\pi\)
\(558\) −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 0.997479 + 0.0709631i \(0.0226073\pi\)
−0.437284 + 0.899324i \(0.644059\pi\)
\(564\) −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 −0.681653 0.731676i \(-0.738739\pi\)
0.974476 + 0.224491i \(0.0720720\pi\)
\(570\) −3.74181 1.36191i −0.156727 0.0570441i
\(571\) −20.6390 7.51199i −0.863717 0.314367i −0.128097 0.991762i \(-0.540887\pi\)
−0.735620 + 0.677395i \(0.763109\pi\)
\(572\) −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 −0.358207 0.933642i \(-0.616612\pi\)
−0.874536 + 0.484961i \(0.838834\pi\)
\(578\) 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 0.639963 0.768406i \(-0.278950\pi\)
0.984162 + 0.177273i \(0.0567274\pi\)
\(588\) −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 −0.847337 0.531055i \(-0.821796\pi\)
−0.307742 + 0.951470i \(0.599573\pi\)
\(600\) −4.17728 7.23526i −0.170537 0.295378i
\(601\) 5.27054 + 29.8907i 0.214990 + 1.21927i 0.880924 + 0.473257i \(0.156922\pi\)
−0.665935 + 0.746010i \(0.731967\pi\)
\(602\) 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 0.363864 0.931452i \(-0.381457\pi\)
−0.319990 + 0.947421i \(0.603679\pi\)
\(608\) 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 0.618317 0.785929i \(-0.287815\pi\)
−0.0315273 + 0.999503i \(0.510037\pi\)
\(614\) −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 −0.259099 0.965851i \(-0.583426\pi\)
0.906185 + 0.422881i \(0.138981\pi\)
\(618\) 19.9128 + 34.4899i 0.801009 + 1.38739i
\(619\) −15.4275 + 26.7212i −0.620084 + 1.07402i 0.369386 + 0.929276i \(0.379568\pi\)
−0.989470 + 0.144741i \(0.953765\pi\)
\(620\) −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 −0.549323 0.835610i \(-0.685114\pi\)
0.727526 + 0.686080i \(0.240670\pi\)
\(632\) 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 −0.0678451 0.997696i \(-0.521612\pi\)
0.970757 + 0.240062i \(0.0771679\pi\)
\(642\) −10.3143 + 58.4952i −0.407072 + 2.30862i
\(643\) −7.18117 + 12.4382i −0.283198 + 0.490513i −0.972171 0.234274i \(-0.924729\pi\)
0.688973 + 0.724787i \(0.258062\pi\)
\(644\) −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 0.771902 0.635742i \(-0.219306\pi\)
−0.492044 + 0.870570i \(0.663750\pi\)
\(648\) 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 0.400742 + 0.916191i \(0.368752\pi\)
−0.689930 + 0.723876i \(0.742359\pi\)
\(654\) 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 −0.535102 0.844788i \(-0.679727\pi\)
0.133107 + 0.991102i \(0.457505\pi\)
\(660\) 5.27780 0.205438
\(661\) −31.5074 + 11.4678i −1.22550 + 0.446044i −0.872053 0.489412i \(-0.837212\pi\)
−0.353444 + 0.935456i \(0.614989\pi\)
\(662\) 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 0.610440 0.792063i \(-0.290993\pi\)
0.976752 + 0.214372i \(0.0687704\pi\)
\(674\) 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 0.886174 0.463353i \(-0.153354\pi\)
−0.844362 + 0.535772i \(0.820021\pi\)
\(678\) 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 −0.888272 0.459318i \(-0.848094\pi\)
0.677607 0.735424i \(-0.263017\pi\)
\(684\) −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 −0.190754 0.981638i \(-0.561093\pi\)
0.933601 + 0.358315i \(0.116649\pi\)
\(692\) −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 −0.864796 0.502124i \(-0.832552\pi\)
0.344325 + 0.938850i \(0.388108\pi\)
\(702\) −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 0.774526 0.632542i \(-0.217988\pi\)
0.186731 + 0.982411i \(0.440211\pi\)
\(720\) 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 −0.934298 0.356494i \(-0.883972\pi\)
0.999881 0.0154465i \(-0.00491696\pi\)
\(728\) −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 0.351234 0.936288i \(-0.385762\pi\)
0.870895 + 0.491469i \(0.163540\pi\)
\(734\) 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 0.826020 0.563640i \(-0.190600\pi\)
−0.411640 + 0.911346i \(0.635044\pi\)
\(744\) 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 0.986196 + 0.165582i \(0.0529503\pi\)
−0.349700 + 0.936862i \(0.613716\pi\)
\(752\) 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 0.485425 + 0.874278i \(0.338665\pi\)
−0.157129 + 0.987578i \(0.550224\pi\)
\(758\) −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 0.238436 0.971158i \(-0.423365\pi\)
−0.441596 + 0.897214i \(0.645587\pi\)
\(762\) −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 −0.978253 0.207415i \(-0.933495\pi\)
0.309500 0.950900i \(-0.399838\pi\)