Properties

Label 370.2.v.a.289.7
Level $370$
Weight $2$
Character 370.289
Analytic conductor $2.954$
Analytic rank $0$
Dimension $60$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 370 = 2 \cdot 5 \cdot 37 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 370.v (of order \(18\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.95446487479\)
Analytic rank: \(0\)
Dimension: \(60\)
Relative dimension: \(10\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 289.7
Character \(\chi\) \(=\) 370.289
Dual form 370.2.v.a.169.7

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.939693 + 0.342020i) q^{2} +(0.400420 - 1.10014i) q^{3} +(0.766044 - 0.642788i) q^{4} +(-0.822020 - 2.07949i) q^{5} +1.17075i q^{6} +(3.81475 - 0.672643i) q^{7} +(-0.500000 + 0.866025i) q^{8} +(1.24815 + 1.04732i) q^{9} +O(q^{10})\) \(q+(-0.939693 + 0.342020i) q^{2} +(0.400420 - 1.10014i) q^{3} +(0.766044 - 0.642788i) q^{4} +(-0.822020 - 2.07949i) q^{5} +1.17075i q^{6} +(3.81475 - 0.672643i) q^{7} +(-0.500000 + 0.866025i) q^{8} +(1.24815 + 1.04732i) q^{9} +(1.48367 + 1.67294i) q^{10} +(-1.57993 + 2.73651i) q^{11} +(-0.400420 - 1.10014i) q^{12} +(1.40293 - 1.17720i) q^{13} +(-3.35463 + 1.93680i) q^{14} +(-2.61689 + 0.0716712i) q^{15} +(0.173648 - 0.984808i) q^{16} +(-4.46534 - 3.74687i) q^{17} +(-1.53108 - 0.557269i) q^{18} +(2.67996 - 7.36313i) q^{19} +(-1.96637 - 1.06460i) q^{20} +(0.787496 - 4.46611i) q^{21} +(0.548703 - 3.11185i) q^{22} +(-0.0262094 - 0.0453960i) q^{23} +(0.752543 + 0.896846i) q^{24} +(-3.64857 + 3.41877i) q^{25} +(-0.915697 + 1.58603i) q^{26} +(4.69369 - 2.70990i) q^{27} +(2.48990 - 2.96735i) q^{28} +(3.42104 + 1.97514i) q^{29} +(2.43456 - 0.962379i) q^{30} +1.88120i q^{31} +(0.173648 + 0.984808i) q^{32} +(2.37793 + 2.83390i) q^{33} +(5.47755 + 1.99367i) q^{34} +(-4.53455 - 7.37981i) q^{35} +1.62935 q^{36} +(-5.80760 - 1.80882i) q^{37} +7.83567i q^{38} +(-0.733326 - 2.01480i) q^{39} +(2.21190 + 0.327855i) q^{40} +(2.75128 - 2.30860i) q^{41} +(0.787496 + 4.46611i) q^{42} -2.80385 q^{43} +(0.548703 + 3.11185i) q^{44} +(1.15189 - 3.45644i) q^{45} +(0.0401551 + 0.0336941i) q^{46} +(-9.42768 + 5.44307i) q^{47} +(-1.01390 - 0.585375i) q^{48} +(7.52199 - 2.73778i) q^{49} +(2.25924 - 4.46047i) q^{50} +(-5.91010 + 3.41220i) q^{51} +(0.318018 - 1.80357i) q^{52} +(12.8005 + 2.25707i) q^{53} +(-3.48378 + 4.15181i) q^{54} +(6.98929 + 1.03598i) q^{55} +(-1.32485 + 3.63999i) q^{56} +(-7.02739 - 5.89668i) q^{57} +(-3.89026 - 0.685958i) q^{58} +(12.1068 + 2.13476i) q^{59} +(-1.95859 + 1.73701i) q^{60} +(0.0728097 + 0.0867712i) q^{61} +(-0.643409 - 1.76775i) q^{62} +(5.46586 + 3.15571i) q^{63} +(-0.500000 - 0.866025i) q^{64} +(-3.60121 - 1.94970i) q^{65} +(-3.20377 - 1.84970i) q^{66} +(-4.55499 + 0.803167i) q^{67} -5.82909 q^{68} +(-0.0604369 + 0.0106567i) q^{69} +(6.78513 + 5.38384i) q^{70} +(-12.4415 - 4.52834i) q^{71} +(-1.53108 + 0.557269i) q^{72} +4.68205i q^{73} +(6.07601 - 0.286577i) q^{74} +(2.30018 + 5.38289i) q^{75} +(-2.67996 - 7.36313i) q^{76} +(-4.18633 + 11.5018i) q^{77} +(1.37820 + 1.64248i) q^{78} +(-5.72931 + 1.01023i) q^{79} +(-2.19064 + 0.448432i) q^{80} +(-0.253039 - 1.43505i) q^{81} +(-1.79577 + 3.11037i) q^{82} +(-0.100220 + 0.119438i) q^{83} +(-2.26750 - 3.92743i) q^{84} +(-4.12097 + 12.3656i) q^{85} +(2.63476 - 0.958973i) q^{86} +(3.54279 - 2.97275i) q^{87} +(-1.57993 - 2.73651i) q^{88} +(2.80059 + 0.493820i) q^{89} +(0.0997457 + 3.64196i) q^{90} +(4.55998 - 5.43438i) q^{91} +(-0.0492576 - 0.0179283i) q^{92} +(2.06959 + 0.753270i) q^{93} +(6.99748 - 8.33927i) q^{94} +(-17.5145 + 0.479686i) q^{95} +(1.15296 + 0.203298i) q^{96} +(8.58698 + 14.8731i) q^{97} +(-6.13199 + 5.14535i) q^{98} +(-4.83800 + 1.76089i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 60 q - 3 q^{5} - 30 q^{8} - 6 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 60 q - 3 q^{5} - 30 q^{8} - 6 q^{9} + 9 q^{10} + 6 q^{11} - 3 q^{13} + 9 q^{14} + 18 q^{15} + 3 q^{17} + 12 q^{18} + 3 q^{19} - 6 q^{20} + 12 q^{21} - 3 q^{22} - 18 q^{23} - 15 q^{25} - 27 q^{26} + 6 q^{30} - 66 q^{33} + 21 q^{34} - 3 q^{35} - 72 q^{36} + 6 q^{37} + 12 q^{39} + 6 q^{40} - 57 q^{41} + 12 q^{42} + 60 q^{43} - 3 q^{44} + 45 q^{45} - 21 q^{46} - 18 q^{47} - 6 q^{49} + 36 q^{50} - 3 q^{52} - 6 q^{53} + 3 q^{55} + 30 q^{57} + 15 q^{58} - 12 q^{59} + 9 q^{60} + 42 q^{61} - 12 q^{62} - 9 q^{63} - 30 q^{64} - 30 q^{65} - 18 q^{67} - 24 q^{68} + 36 q^{69} + 18 q^{71} + 12 q^{72} + 3 q^{74} - 78 q^{75} - 3 q^{76} + 21 q^{77} + 6 q^{78} - 24 q^{79} - 36 q^{81} + 27 q^{82} + 30 q^{83} + 12 q^{84} + 33 q^{85} - 18 q^{86} - 30 q^{87} + 6 q^{88} + 3 q^{89} - 3 q^{90} + 57 q^{91} + 15 q^{92} + 60 q^{93} + 3 q^{94} - 150 q^{95} + 84 q^{97} - 6 q^{98} - 45 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/370\mathbb{Z}\right)^\times\).

\(n\) \(261\) \(297\)
\(\chi(n)\) \(e\left(\frac{7}{18}\right)\) \(-1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.939693 + 0.342020i −0.664463 + 0.241845i
\(3\) 0.400420 1.10014i 0.231182 0.635169i −0.768808 0.639479i \(-0.779150\pi\)
0.999991 + 0.00431076i \(0.00137216\pi\)
\(4\) 0.766044 0.642788i 0.383022 0.321394i
\(5\) −0.822020 2.07949i −0.367618 0.929977i
\(6\) 1.17075i 0.477956i
\(7\) 3.81475 0.672643i 1.44184 0.254235i 0.602620 0.798029i \(-0.294124\pi\)
0.839219 + 0.543794i \(0.183013\pi\)
\(8\) −0.500000 + 0.866025i −0.176777 + 0.306186i
\(9\) 1.24815 + 1.04732i 0.416051 + 0.349108i
\(10\) 1.48367 + 1.67294i 0.469179 + 0.529029i
\(11\) −1.57993 + 2.73651i −0.476366 + 0.825090i −0.999633 0.0270785i \(-0.991380\pi\)
0.523267 + 0.852169i \(0.324713\pi\)
\(12\) −0.400420 1.10014i −0.115591 0.317584i
\(13\) 1.40293 1.17720i 0.389102 0.326496i −0.427161 0.904176i \(-0.640486\pi\)
0.816263 + 0.577680i \(0.196042\pi\)
\(14\) −3.35463 + 1.93680i −0.896563 + 0.517631i
\(15\) −2.61689 + 0.0716712i −0.675679 + 0.0185054i
\(16\) 0.173648 0.984808i 0.0434120 0.246202i
\(17\) −4.46534 3.74687i −1.08300 0.908748i −0.0868373 0.996223i \(-0.527676\pi\)
−0.996167 + 0.0874741i \(0.972120\pi\)
\(18\) −1.53108 0.557269i −0.360880 0.131350i
\(19\) 2.67996 7.36313i 0.614825 1.68922i −0.104484 0.994527i \(-0.533319\pi\)
0.719309 0.694690i \(-0.244459\pi\)
\(20\) −1.96637 1.06460i −0.439695 0.238051i
\(21\) 0.787496 4.46611i 0.171846 0.974585i
\(22\) 0.548703 3.11185i 0.116984 0.663448i
\(23\) −0.0262094 0.0453960i −0.00546504 0.00946572i 0.863280 0.504725i \(-0.168406\pi\)
−0.868745 + 0.495260i \(0.835073\pi\)
\(24\) 0.752543 + 0.896846i 0.153612 + 0.183068i
\(25\) −3.64857 + 3.41877i −0.729713 + 0.683753i
\(26\) −0.915697 + 1.58603i −0.179583 + 0.311047i
\(27\) 4.69369 2.70990i 0.903301 0.521521i
\(28\) 2.48990 2.96735i 0.470547 0.560776i
\(29\) 3.42104 + 1.97514i 0.635270 + 0.366774i 0.782790 0.622286i \(-0.213796\pi\)
−0.147520 + 0.989059i \(0.547129\pi\)
\(30\) 2.43456 0.962379i 0.444488 0.175706i
\(31\) 1.88120i 0.337874i 0.985627 + 0.168937i \(0.0540334\pi\)
−0.985627 + 0.168937i \(0.945967\pi\)
\(32\) 0.173648 + 0.984808i 0.0306970 + 0.174091i
\(33\) 2.37793 + 2.83390i 0.413944 + 0.493319i
\(34\) 5.47755 + 1.99367i 0.939392 + 0.341911i
\(35\) −4.53455 7.37981i −0.766479 1.24741i
\(36\) 1.62935 0.271558
\(37\) −5.80760 1.80882i −0.954763 0.297369i
\(38\) 7.83567i 1.27111i
\(39\) −0.733326 2.01480i −0.117426 0.322626i
\(40\) 2.21190 + 0.327855i 0.349732 + 0.0518385i
\(41\) 2.75128 2.30860i 0.429678 0.360543i −0.402152 0.915573i \(-0.631738\pi\)
0.831830 + 0.555030i \(0.187293\pi\)
\(42\) 0.787496 + 4.46611i 0.121513 + 0.689136i
\(43\) −2.80385 −0.427583 −0.213792 0.976879i \(-0.568581\pi\)
−0.213792 + 0.976879i \(0.568581\pi\)
\(44\) 0.548703 + 3.11185i 0.0827201 + 0.469129i
\(45\) 1.15189 3.45644i 0.171714 0.515256i
\(46\) 0.0401551 + 0.0336941i 0.00592055 + 0.00496793i
\(47\) −9.42768 + 5.44307i −1.37517 + 0.793954i −0.991573 0.129548i \(-0.958647\pi\)
−0.383595 + 0.923502i \(0.625314\pi\)
\(48\) −1.01390 0.585375i −0.146344 0.0844915i
\(49\) 7.52199 2.73778i 1.07457 0.391112i
\(50\) 2.25924 4.46047i 0.319505 0.630806i
\(51\) −5.91010 + 3.41220i −0.827580 + 0.477804i
\(52\) 0.318018 1.80357i 0.0441012 0.250110i
\(53\) 12.8005 + 2.25707i 1.75828 + 0.310033i 0.957395 0.288783i \(-0.0932505\pi\)
0.800887 + 0.598815i \(0.204362\pi\)
\(54\) −3.48378 + 4.15181i −0.474083 + 0.564990i
\(55\) 6.98929 + 1.03598i 0.942435 + 0.139691i
\(56\) −1.32485 + 3.63999i −0.177040 + 0.486414i
\(57\) −7.02739 5.89668i −0.930801 0.781035i
\(58\) −3.89026 0.685958i −0.510816 0.0900706i
\(59\) 12.1068 + 2.13476i 1.57618 + 0.277922i 0.892220 0.451601i \(-0.149147\pi\)
0.683956 + 0.729524i \(0.260258\pi\)
\(60\) −1.95859 + 1.73701i −0.252853 + 0.224247i
\(61\) 0.0728097 + 0.0867712i 0.00932233 + 0.0111099i 0.770685 0.637216i \(-0.219914\pi\)
−0.761363 + 0.648326i \(0.775470\pi\)
\(62\) −0.643409 1.76775i −0.0817130 0.224505i
\(63\) 5.46586 + 3.15571i 0.688633 + 0.397583i
\(64\) −0.500000 0.866025i −0.0625000 0.108253i
\(65\) −3.60121 1.94970i −0.446675 0.241830i
\(66\) −3.20377 1.84970i −0.394357 0.227682i
\(67\) −4.55499 + 0.803167i −0.556480 + 0.0981225i −0.444813 0.895623i \(-0.646730\pi\)
−0.111667 + 0.993746i \(0.535619\pi\)
\(68\) −5.82909 −0.706881
\(69\) −0.0604369 + 0.0106567i −0.00727575 + 0.00128291i
\(70\) 6.78513 + 5.38384i 0.810978 + 0.643492i
\(71\) −12.4415 4.52834i −1.47654 0.537416i −0.526670 0.850070i \(-0.676560\pi\)
−0.949867 + 0.312654i \(0.898782\pi\)
\(72\) −1.53108 + 0.557269i −0.180440 + 0.0656748i
\(73\) 4.68205i 0.547992i 0.961731 + 0.273996i \(0.0883456\pi\)
−0.961731 + 0.273996i \(0.911654\pi\)
\(74\) 6.07601 0.286577i 0.706322 0.0333140i
\(75\) 2.30018 + 5.38289i 0.265602 + 0.621563i
\(76\) −2.67996 7.36313i −0.307412 0.844608i
\(77\) −4.18633 + 11.5018i −0.477076 + 1.31076i
\(78\) 1.37820 + 1.64248i 0.156051 + 0.185974i
\(79\) −5.72931 + 1.01023i −0.644598 + 0.113660i −0.486384 0.873745i \(-0.661685\pi\)
−0.158214 + 0.987405i \(0.550573\pi\)
\(80\) −2.19064 + 0.448432i −0.244921 + 0.0501362i
\(81\) −0.253039 1.43505i −0.0281154 0.159450i
\(82\) −1.79577 + 3.11037i −0.198310 + 0.343483i
\(83\) −0.100220 + 0.119438i −0.0110006 + 0.0131100i −0.771517 0.636209i \(-0.780502\pi\)
0.760516 + 0.649319i \(0.224946\pi\)
\(84\) −2.26750 3.92743i −0.247405 0.428518i
\(85\) −4.12097 + 12.3656i −0.446982 + 1.34124i
\(86\) 2.63476 0.958973i 0.284113 0.103409i
\(87\) 3.54279 2.97275i 0.379826 0.318712i
\(88\) −1.57993 2.73651i −0.168421 0.291713i
\(89\) 2.80059 + 0.493820i 0.296862 + 0.0523449i 0.320096 0.947385i \(-0.396285\pi\)
−0.0232333 + 0.999730i \(0.507396\pi\)
\(90\) 0.0997457 + 3.64196i 0.0105141 + 0.383897i
\(91\) 4.55998 5.43438i 0.478016 0.569678i
\(92\) −0.0492576 0.0179283i −0.00513545 0.00186915i
\(93\) 2.06959 + 0.753270i 0.214607 + 0.0781105i
\(94\) 6.99748 8.33927i 0.721735 0.860130i
\(95\) −17.5145 + 0.479686i −1.79695 + 0.0492147i
\(96\) 1.15296 + 0.203298i 0.117674 + 0.0207491i
\(97\) 8.58698 + 14.8731i 0.871876 + 1.51013i 0.860054 + 0.510204i \(0.170430\pi\)
0.0118226 + 0.999930i \(0.496237\pi\)
\(98\) −6.13199 + 5.14535i −0.619424 + 0.519759i
\(99\) −4.83800 + 1.76089i −0.486238 + 0.176976i
\(100\) −0.597424 + 4.96418i −0.0597424 + 0.496418i
\(101\) 4.22216 + 7.31300i 0.420121 + 0.727670i 0.995951 0.0898990i \(-0.0286544\pi\)
−0.575830 + 0.817569i \(0.695321\pi\)
\(102\) 4.38664 5.22779i 0.434342 0.517629i
\(103\) 1.21290 2.10081i 0.119511 0.206999i −0.800063 0.599916i \(-0.795201\pi\)
0.919574 + 0.392917i \(0.128534\pi\)
\(104\) 0.318018 + 1.80357i 0.0311842 + 0.176855i
\(105\) −9.93458 + 2.03364i −0.969515 + 0.198463i
\(106\) −12.8005 + 2.25707i −1.24329 + 0.219226i
\(107\) −1.73125 2.06323i −0.167367 0.199460i 0.675842 0.737047i \(-0.263780\pi\)
−0.843208 + 0.537587i \(0.819336\pi\)
\(108\) 1.85368 5.09295i 0.178371 0.490069i
\(109\) 6.74310 + 18.5265i 0.645872 + 1.77452i 0.632441 + 0.774608i \(0.282053\pi\)
0.0134304 + 0.999910i \(0.495725\pi\)
\(110\) −6.92211 + 1.41698i −0.659997 + 0.135104i
\(111\) −4.31544 + 5.66490i −0.409604 + 0.537689i
\(112\) 3.87360i 0.366020i
\(113\) −10.9126 + 3.97185i −1.02657 + 0.373640i −0.799773 0.600303i \(-0.795047\pi\)
−0.226795 + 0.973943i \(0.572825\pi\)
\(114\) 8.62037 + 3.13756i 0.807372 + 0.293859i
\(115\) −0.0728559 + 0.0918186i −0.00679385 + 0.00856213i
\(116\) 3.89026 0.685958i 0.361201 0.0636896i
\(117\) 2.98397 0.275869
\(118\) −12.1068 + 2.13476i −1.11452 + 0.196521i
\(119\) −19.5544 11.2898i −1.79255 1.03493i
\(120\) 1.24638 2.30213i 0.113778 0.210155i
\(121\) 0.507660 + 0.879293i 0.0461509 + 0.0799357i
\(122\) −0.0980962 0.0566359i −0.00888122 0.00512757i
\(123\) −1.43812 3.95122i −0.129671 0.356269i
\(124\) 1.20921 + 1.44108i 0.108591 + 0.129413i
\(125\) 10.1085 + 4.77687i 0.904131 + 0.427256i
\(126\) −6.21554 1.09597i −0.553725 0.0976366i
\(127\) 11.3628 + 2.00358i 1.00829 + 0.177789i 0.653314 0.757087i \(-0.273378\pi\)
0.354975 + 0.934876i \(0.384489\pi\)
\(128\) 0.766044 + 0.642788i 0.0677094 + 0.0568149i
\(129\) −1.12272 + 3.08464i −0.0988497 + 0.271587i
\(130\) 4.05086 + 0.600432i 0.355284 + 0.0526614i
\(131\) 1.27569 1.52031i 0.111457 0.132830i −0.707431 0.706782i \(-0.750146\pi\)
0.818889 + 0.573952i \(0.194591\pi\)
\(132\) 3.64319 + 0.642394i 0.317099 + 0.0559132i
\(133\) 5.27061 29.8911i 0.457020 2.59189i
\(134\) 4.00559 2.31263i 0.346030 0.199781i
\(135\) −9.49352 7.53289i −0.817072 0.648328i
\(136\) 5.47755 1.99367i 0.469696 0.170955i
\(137\) 11.0451 + 6.37688i 0.943644 + 0.544813i 0.891101 0.453805i \(-0.149934\pi\)
0.0525435 + 0.998619i \(0.483267\pi\)
\(138\) 0.0531473 0.0306846i 0.00452420 0.00261205i
\(139\) 11.7633 + 9.87061i 0.997753 + 0.837214i 0.986672 0.162724i \(-0.0520281\pi\)
0.0110816 + 0.999939i \(0.496473\pi\)
\(140\) −8.21732 2.73851i −0.694490 0.231446i
\(141\) 2.21314 + 12.5513i 0.186380 + 1.05701i
\(142\) 13.2400 1.11108
\(143\) 1.00489 + 5.69902i 0.0840332 + 0.476576i
\(144\) 1.24815 1.04732i 0.104013 0.0872770i
\(145\) 1.29512 8.73761i 0.107554 0.725619i
\(146\) −1.60135 4.39969i −0.132529 0.364121i
\(147\) 9.37154i 0.772952i
\(148\) −5.61156 + 2.34741i −0.461268 + 0.192956i
\(149\) 8.31712 0.681365 0.340683 0.940178i \(-0.389342\pi\)
0.340683 + 0.940178i \(0.389342\pi\)
\(150\) −4.00252 4.27156i −0.326804 0.348771i
\(151\) −4.39822 1.60082i −0.357922 0.130273i 0.156799 0.987630i \(-0.449882\pi\)
−0.514721 + 0.857358i \(0.672105\pi\)
\(152\) 5.03667 + 6.00247i 0.408528 + 0.486865i
\(153\) −1.64924 9.35331i −0.133333 0.756171i
\(154\) 12.2400i 0.986327i
\(155\) 3.91194 1.54638i 0.314215 0.124209i
\(156\) −1.85685 1.07205i −0.148667 0.0858328i
\(157\) −7.98121 + 9.51164i −0.636970 + 0.759111i −0.983888 0.178784i \(-0.942784\pi\)
0.346918 + 0.937895i \(0.387228\pi\)
\(158\) 5.03827 2.90885i 0.400823 0.231416i
\(159\) 7.60867 13.1786i 0.603407 1.04513i
\(160\) 1.90516 1.17063i 0.150616 0.0925465i
\(161\) −0.130517 0.155545i −0.0102862 0.0122586i
\(162\) 0.728596 + 1.26196i 0.0572439 + 0.0991493i
\(163\) 3.14656 17.8450i 0.246457 1.39773i −0.570626 0.821210i \(-0.693299\pi\)
0.817083 0.576519i \(-0.195589\pi\)
\(164\) 0.623665 3.53698i 0.0487000 0.276192i
\(165\) 3.93837 7.27440i 0.306602 0.566311i
\(166\) 0.0533260 0.146512i 0.00413890 0.0113715i
\(167\) −13.2553 4.82455i −1.02573 0.373335i −0.226276 0.974063i \(-0.572655\pi\)
−0.799453 + 0.600728i \(0.794877\pi\)
\(168\) 3.47402 + 2.91505i 0.268026 + 0.224901i
\(169\) −1.67501 + 9.49945i −0.128847 + 0.730727i
\(170\) −0.356846 13.0294i −0.0273689 0.999306i
\(171\) 11.0566 6.38351i 0.845517 0.488160i
\(172\) −2.14787 + 1.80228i −0.163774 + 0.137423i
\(173\) −0.942189 2.58864i −0.0716333 0.196811i 0.898709 0.438545i \(-0.144506\pi\)
−0.970343 + 0.241734i \(0.922284\pi\)
\(174\) −2.31239 + 4.00517i −0.175302 + 0.303632i
\(175\) −11.6187 + 15.4959i −0.878295 + 1.17138i
\(176\) 2.42059 + 2.03112i 0.182459 + 0.153101i
\(177\) 7.19636 12.4645i 0.540912 0.936886i
\(178\) −2.80059 + 0.493820i −0.209913 + 0.0370134i
\(179\) 6.88706i 0.514763i −0.966310 0.257382i \(-0.917140\pi\)
0.966310 0.257382i \(-0.0828598\pi\)
\(180\) −1.33936 3.38821i −0.0998296 0.252542i
\(181\) 4.29631 3.60503i 0.319342 0.267960i −0.468998 0.883199i \(-0.655385\pi\)
0.788340 + 0.615239i \(0.210941\pi\)
\(182\) −2.42632 + 6.66625i −0.179851 + 0.494135i
\(183\) 0.124615 0.0453563i 0.00921183 0.00335283i
\(184\) 0.0524188 0.00386436
\(185\) 1.01253 + 13.5637i 0.0744426 + 0.997225i
\(186\) −2.20241 −0.161489
\(187\) 17.3083 6.29969i 1.26571 0.460679i
\(188\) −3.72328 + 10.2296i −0.271548 + 0.746072i
\(189\) 16.0824 13.4948i 1.16982 0.981600i
\(190\) 16.2942 6.44108i 1.18211 0.467285i
\(191\) 13.3454i 0.965637i −0.875721 0.482818i \(-0.839613\pi\)
0.875721 0.482818i \(-0.160387\pi\)
\(192\) −1.15296 + 0.203298i −0.0832079 + 0.0146718i
\(193\) −3.14471 + 5.44680i −0.226361 + 0.392069i −0.956727 0.290987i \(-0.906016\pi\)
0.730366 + 0.683056i \(0.239350\pi\)
\(194\) −13.1560 11.0392i −0.944547 0.792569i
\(195\) −3.58694 + 3.18115i −0.256866 + 0.227807i
\(196\) 4.00237 6.93231i 0.285884 0.495165i
\(197\) −5.08518 13.9714i −0.362304 0.995422i −0.978213 0.207604i \(-0.933433\pi\)
0.615909 0.787817i \(-0.288789\pi\)
\(198\) 3.94398 3.30939i 0.280286 0.235188i
\(199\) −10.4111 + 6.01084i −0.738022 + 0.426097i −0.821350 0.570425i \(-0.806779\pi\)
0.0833276 + 0.996522i \(0.473445\pi\)
\(200\) −1.13646 4.86913i −0.0803595 0.344300i
\(201\) −0.940307 + 5.33275i −0.0663242 + 0.376143i
\(202\) −6.46872 5.42790i −0.455138 0.381906i
\(203\) 14.3789 + 5.23351i 1.00920 + 0.367320i
\(204\) −2.33408 + 6.41284i −0.163418 + 0.448988i
\(205\) −7.06232 3.82355i −0.493254 0.267048i
\(206\) −0.421236 + 2.38895i −0.0293489 + 0.166446i
\(207\) 0.0148310 0.0841108i 0.00103083 0.00584611i
\(208\) −0.915697 1.58603i −0.0634921 0.109972i
\(209\) 15.9152 + 18.9669i 1.10087 + 1.31197i
\(210\) 8.63990 5.30882i 0.596210 0.366344i
\(211\) −11.9726 + 20.7372i −0.824231 + 1.42761i 0.0782753 + 0.996932i \(0.475059\pi\)
−0.902506 + 0.430678i \(0.858275\pi\)
\(212\) 11.2566 6.49898i 0.773104 0.446352i
\(213\) −9.96366 + 11.8742i −0.682699 + 0.813609i
\(214\) 2.33251 + 1.34668i 0.159447 + 0.0920568i
\(215\) 2.30482 + 5.83058i 0.157187 + 0.397642i
\(216\) 5.41980i 0.368771i
\(217\) 1.26538 + 7.17631i 0.0858993 + 0.487159i
\(218\) −12.6729 15.1030i −0.858316 1.02290i
\(219\) 5.15093 + 1.87478i 0.348068 + 0.126686i
\(220\) 6.02002 3.69902i 0.405870 0.249388i
\(221\) −10.6754 −0.718102
\(222\) 2.11768 6.79924i 0.142129 0.456335i
\(223\) 10.3038i 0.689995i −0.938604 0.344998i \(-0.887880\pi\)
0.938604 0.344998i \(-0.112120\pi\)
\(224\) 1.32485 + 3.63999i 0.0885201 + 0.243207i
\(225\) −8.13452 + 0.445909i −0.542301 + 0.0297273i
\(226\) 8.89600 7.46463i 0.591753 0.496540i
\(227\) 2.36191 + 13.3951i 0.156766 + 0.889063i 0.957154 + 0.289580i \(0.0935157\pi\)
−0.800388 + 0.599482i \(0.795373\pi\)
\(228\) −9.17361 −0.607537
\(229\) −2.76999 15.7094i −0.183046 1.03811i −0.928440 0.371482i \(-0.878850\pi\)
0.745394 0.666624i \(-0.232261\pi\)
\(230\) 0.0370584 0.111199i 0.00244356 0.00733228i
\(231\) 10.9774 + 9.21112i 0.722259 + 0.606048i
\(232\) −3.42104 + 1.97514i −0.224602 + 0.129674i
\(233\) 6.41359 + 3.70289i 0.420168 + 0.242584i 0.695149 0.718865i \(-0.255338\pi\)
−0.274981 + 0.961450i \(0.588672\pi\)
\(234\) −2.80402 + 1.02058i −0.183304 + 0.0667174i
\(235\) 19.0686 + 15.1305i 1.24390 + 0.987002i
\(236\) 10.6466 6.14680i 0.693033 0.400123i
\(237\) −1.18273 + 6.70759i −0.0768265 + 0.435705i
\(238\) 22.2365 + 3.92089i 1.44138 + 0.254154i
\(239\) −7.85591 + 9.36231i −0.508157 + 0.605598i −0.957738 0.287642i \(-0.907129\pi\)
0.449581 + 0.893239i \(0.351573\pi\)
\(240\) −0.383836 + 2.58958i −0.0247765 + 0.167157i
\(241\) 3.03748 8.34541i 0.195661 0.537575i −0.802600 0.596518i \(-0.796551\pi\)
0.998261 + 0.0589423i \(0.0187728\pi\)
\(242\) −0.777780 0.652635i −0.0499976 0.0419530i
\(243\) 14.3323 + 2.52717i 0.919418 + 0.162118i
\(244\) 0.111551 + 0.0196694i 0.00714132 + 0.00125921i
\(245\) −11.8764 13.3914i −0.758757 0.855546i
\(246\) 2.70279 + 3.22106i 0.172324 + 0.205367i
\(247\) −4.90806 13.4848i −0.312292 0.858016i
\(248\) −1.62917 0.940601i −0.103452 0.0597282i
\(249\) 0.0912686 + 0.158082i 0.00578391 + 0.0100180i
\(250\) −11.1327 1.03148i −0.704091 0.0652366i
\(251\) −20.9005 12.0669i −1.31923 0.761657i −0.335623 0.941996i \(-0.608947\pi\)
−0.983604 + 0.180340i \(0.942280\pi\)
\(252\) 6.21554 1.09597i 0.391542 0.0690395i
\(253\) 0.165636 0.0104134
\(254\) −11.3628 + 2.00358i −0.712968 + 0.125716i
\(255\) 11.9539 + 9.48511i 0.748580 + 0.593981i
\(256\) −0.939693 0.342020i −0.0587308 0.0213763i
\(257\) −19.5648 + 7.12102i −1.22042 + 0.444197i −0.870307 0.492510i \(-0.836079\pi\)
−0.350114 + 0.936707i \(0.613857\pi\)
\(258\) 3.28261i 0.204366i
\(259\) −23.3712 2.99376i −1.45222 0.186023i
\(260\) −4.01193 + 0.821255i −0.248809 + 0.0509321i
\(261\) 2.20137 + 6.04820i 0.136261 + 0.374374i
\(262\) −0.678780 + 1.86493i −0.0419351 + 0.115216i
\(263\) 10.7738 + 12.8397i 0.664341 + 0.791731i 0.988002 0.154442i \(-0.0493580\pi\)
−0.323660 + 0.946173i \(0.604914\pi\)
\(264\) −3.64319 + 0.642394i −0.224223 + 0.0395366i
\(265\) −5.82870 28.4739i −0.358054 1.74914i
\(266\) 5.27061 + 29.8911i 0.323162 + 1.83274i
\(267\) 1.66469 2.88332i 0.101877 0.176456i
\(268\) −2.97306 + 3.54315i −0.181608 + 0.216432i
\(269\) −14.9199 25.8420i −0.909681 1.57561i −0.814508 0.580152i \(-0.802993\pi\)
−0.0951726 0.995461i \(-0.530340\pi\)
\(270\) 11.4974 + 3.83162i 0.699709 + 0.233185i
\(271\) −8.68882 + 3.16247i −0.527809 + 0.192107i −0.592160 0.805821i \(-0.701724\pi\)
0.0643510 + 0.997927i \(0.479502\pi\)
\(272\) −4.46534 + 3.74687i −0.270751 + 0.227187i
\(273\) −4.15269 7.19267i −0.251332 0.435320i
\(274\) −12.5600 2.21467i −0.758777 0.133793i
\(275\) −3.59103 15.3858i −0.216547 0.927796i
\(276\) −0.0394474 + 0.0470116i −0.00237445 + 0.00282976i
\(277\) −1.09983 0.400305i −0.0660823 0.0240520i 0.308768 0.951138i \(-0.400083\pi\)
−0.374850 + 0.927086i \(0.622306\pi\)
\(278\) −14.4299 5.25204i −0.865446 0.314997i
\(279\) −1.97023 + 2.34802i −0.117954 + 0.140573i
\(280\) 8.65838 0.237135i 0.517437 0.0141715i
\(281\) 28.0576 + 4.94731i 1.67378 + 0.295132i 0.928419 0.371535i \(-0.121168\pi\)
0.745356 + 0.666666i \(0.232279\pi\)
\(282\) −6.37247 11.0374i −0.379475 0.657270i
\(283\) 0.162463 0.136323i 0.00965744 0.00810356i −0.637946 0.770081i \(-0.720216\pi\)
0.647604 + 0.761977i \(0.275771\pi\)
\(284\) −12.4415 + 4.52834i −0.738269 + 0.268708i
\(285\) −6.48544 + 19.4606i −0.384164 + 1.15275i
\(286\) −2.89347 5.01163i −0.171094 0.296344i
\(287\) 8.94258 10.6573i 0.527864 0.629083i
\(288\) −0.814673 + 1.41106i −0.0480051 + 0.0831472i
\(289\) 2.94825 + 16.7203i 0.173426 + 0.983549i
\(290\) 1.77143 + 8.65363i 0.104022 + 0.508159i
\(291\) 19.8009 3.49144i 1.16075 0.204672i
\(292\) 3.00956 + 3.58666i 0.176121 + 0.209893i
\(293\) 0.946580 2.60071i 0.0552998 0.151935i −0.908967 0.416868i \(-0.863128\pi\)
0.964267 + 0.264933i \(0.0853499\pi\)
\(294\) 3.20526 + 8.80637i 0.186934 + 0.513598i
\(295\) −5.51284 26.9309i −0.320970 1.56798i
\(296\) 4.47028 4.12511i 0.259830 0.239767i
\(297\) 17.1258i 0.993739i
\(298\) −7.81554 + 2.84462i −0.452742 + 0.164785i
\(299\) −0.0902100 0.0328337i −0.00521698 0.00189882i
\(300\) 5.22209 + 2.64501i 0.301498 + 0.152710i
\(301\) −10.6960 + 1.88599i −0.616506 + 0.108707i
\(302\) 4.68049 0.269332
\(303\) 9.73599 1.71672i 0.559318 0.0986228i
\(304\) −6.78589 3.91784i −0.389198 0.224703i
\(305\) 0.120589 0.222735i 0.00690490 0.0127538i
\(306\) 4.74880 + 8.22517i 0.271471 + 0.470201i
\(307\) −26.0567 15.0438i −1.48713 0.858596i −0.487240 0.873268i \(-0.661996\pi\)
−0.999892 + 0.0146715i \(0.995330\pi\)
\(308\) 4.18633 + 11.5018i 0.238538 + 0.655378i
\(309\) −1.82552 2.17557i −0.103850 0.123764i
\(310\) −3.14713 + 2.79109i −0.178745 + 0.158523i
\(311\) 1.54935 + 0.273192i 0.0878555 + 0.0154913i 0.217403 0.976082i \(-0.430241\pi\)
−0.129548 + 0.991573i \(0.541352\pi\)
\(312\) 2.11153 + 0.372319i 0.119542 + 0.0210784i
\(313\) 16.3282 + 13.7010i 0.922925 + 0.774426i 0.974534 0.224242i \(-0.0719904\pi\)
−0.0516088 + 0.998667i \(0.516435\pi\)
\(314\) 4.24671 11.6678i 0.239656 0.658449i
\(315\) 2.06924 13.9603i 0.116588 0.786572i
\(316\) −3.73954 + 4.45661i −0.210366 + 0.250704i
\(317\) −12.0836 2.13067i −0.678683 0.119670i −0.176328 0.984332i \(-0.556422\pi\)
−0.502355 + 0.864661i \(0.667533\pi\)
\(318\) −2.64246 + 14.9862i −0.148182 + 0.840382i
\(319\) −10.8100 + 6.24114i −0.605242 + 0.349437i
\(320\) −1.38988 + 1.75164i −0.0776968 + 0.0979194i
\(321\) −2.96307 + 1.07847i −0.165383 + 0.0601944i
\(322\) 0.175846 + 0.101525i 0.00979950 + 0.00565774i
\(323\) −39.5556 + 22.8374i −2.20093 + 1.27071i
\(324\) −1.11627 0.936665i −0.0620152 0.0520369i
\(325\) −1.09412 + 9.09137i −0.0606907 + 0.504298i
\(326\) 3.14656 + 17.8450i 0.174272 + 0.988344i
\(327\) 23.0819 1.27643
\(328\) 0.623665 + 3.53698i 0.0344361 + 0.195297i
\(329\) −32.3030 + 27.1054i −1.78092 + 1.49437i
\(330\) −1.21287 + 8.18270i −0.0667662 + 0.450443i
\(331\) −5.77290 15.8609i −0.317307 0.871794i −0.991129 0.132901i \(-0.957571\pi\)
0.673822 0.738893i \(-0.264651\pi\)
\(332\) 0.155915i 0.00855694i
\(333\) −5.35434 8.34012i −0.293416 0.457036i
\(334\) 14.1060 0.771848
\(335\) 5.41447 + 8.81183i 0.295824 + 0.481442i
\(336\) −4.26151 1.55106i −0.232485 0.0846175i
\(337\) 16.6418 + 19.8330i 0.906538 + 1.08037i 0.996430 + 0.0844184i \(0.0269032\pi\)
−0.0898925 + 0.995951i \(0.528652\pi\)
\(338\) −1.67501 9.49945i −0.0911085 0.516702i
\(339\) 13.5958i 0.738423i
\(340\) 4.79163 + 12.1215i 0.259862 + 0.657383i
\(341\) −5.14793 2.97216i −0.278776 0.160952i
\(342\) −8.20649 + 9.78011i −0.443756 + 0.528848i
\(343\) 3.37053 1.94598i 0.181992 0.105073i
\(344\) 1.40193 2.42821i 0.0755867 0.130920i
\(345\) 0.0718408 + 0.116918i 0.00386778 + 0.00629466i
\(346\) 1.77074 + 2.11028i 0.0951953 + 0.113449i
\(347\) 8.20851 + 14.2176i 0.440656 + 0.763238i 0.997738 0.0672191i \(-0.0214126\pi\)
−0.557083 + 0.830457i \(0.688079\pi\)
\(348\) 0.803084 4.55452i 0.0430498 0.244148i
\(349\) 3.63461 20.6129i 0.194556 1.10338i −0.718493 0.695534i \(-0.755168\pi\)
0.913049 0.407849i \(-0.133721\pi\)
\(350\) 5.61814 18.5352i 0.300302 0.990750i
\(351\) 3.39482 9.32719i 0.181202 0.497849i
\(352\) −2.96929 1.08073i −0.158264 0.0576033i
\(353\) 9.83024 + 8.24855i 0.523211 + 0.439026i 0.865749 0.500478i \(-0.166842\pi\)
−0.342538 + 0.939504i \(0.611287\pi\)
\(354\) −2.49927 + 14.1741i −0.132835 + 0.753343i
\(355\) 0.810528 + 29.5944i 0.0430184 + 1.57071i
\(356\) 2.46280 1.42190i 0.130528 0.0753605i
\(357\) −20.2504 + 16.9921i −1.07176 + 0.899316i
\(358\) 2.35551 + 6.47172i 0.124493 + 0.342041i
\(359\) 9.12465 15.8044i 0.481581 0.834122i −0.518196 0.855262i \(-0.673396\pi\)
0.999777 + 0.0211396i \(0.00672945\pi\)
\(360\) 2.41742 + 2.72579i 0.127409 + 0.143662i
\(361\) −32.4786 27.2528i −1.70940 1.43436i
\(362\) −2.80422 + 4.85704i −0.147386 + 0.255281i
\(363\) 1.17063 0.206413i 0.0614420 0.0108339i
\(364\) 7.09408i 0.371831i
\(365\) 9.73628 3.84874i 0.509620 0.201452i
\(366\) −0.101587 + 0.0852419i −0.00531005 + 0.00445566i
\(367\) −0.440339 + 1.20982i −0.0229855 + 0.0631521i −0.950655 0.310251i \(-0.899587\pi\)
0.927669 + 0.373403i \(0.121809\pi\)
\(368\) −0.0492576 + 0.0179283i −0.00256773 + 0.000934576i
\(369\) 5.85187 0.304636
\(370\) −5.59053 12.3994i −0.290638 0.644616i
\(371\) 50.3488 2.61398
\(372\) 2.06959 0.753270i 0.107303 0.0390552i
\(373\) −2.26014 + 6.20968i −0.117025 + 0.321525i −0.984352 0.176215i \(-0.943614\pi\)
0.867326 + 0.497740i \(0.165837\pi\)
\(374\) −14.1098 + 11.8395i −0.729602 + 0.612209i
\(375\) 9.30288 9.20804i 0.480399 0.475501i
\(376\) 10.8861i 0.561410i
\(377\) 7.12459 1.25626i 0.366935 0.0647006i
\(378\) −10.4971 + 18.1814i −0.539911 + 0.935153i
\(379\) 6.96442 + 5.84385i 0.357738 + 0.300178i 0.803889 0.594780i \(-0.202761\pi\)
−0.446150 + 0.894958i \(0.647205\pi\)
\(380\) −13.1086 + 11.6256i −0.672456 + 0.596380i
\(381\) 6.75413 11.6985i 0.346025 0.599332i
\(382\) 4.56438 + 12.5405i 0.233534 + 0.641630i
\(383\) −12.0599 + 10.1195i −0.616233 + 0.517081i −0.896617 0.442807i \(-0.853983\pi\)
0.280384 + 0.959888i \(0.409538\pi\)
\(384\) 1.01390 0.585375i 0.0517403 0.0298723i
\(385\) 27.3592 0.749311i 1.39435 0.0381884i
\(386\) 1.09215 6.19387i 0.0555888 0.315260i
\(387\) −3.49963 2.93654i −0.177896 0.149273i
\(388\) 16.1383 + 5.87384i 0.819296 + 0.298199i
\(389\) 5.47718 15.0484i 0.277704 0.762985i −0.719918 0.694059i \(-0.755821\pi\)
0.997622 0.0689259i \(-0.0219572\pi\)
\(390\) 2.28261 4.21611i 0.115584 0.213491i
\(391\) −0.0530588 + 0.300912i −0.00268330 + 0.0152178i
\(392\) −1.39001 + 7.88313i −0.0702060 + 0.398158i
\(393\) −1.16175 2.01220i −0.0586023 0.101502i
\(394\) 9.55701 + 11.3896i 0.481475 + 0.573800i
\(395\) 6.81038 + 11.0836i 0.342667 + 0.557678i
\(396\) −2.57425 + 4.45873i −0.129361 + 0.224060i
\(397\) −7.99684 + 4.61698i −0.401350 + 0.231719i −0.687066 0.726595i \(-0.741102\pi\)
0.285716 + 0.958314i \(0.407768\pi\)
\(398\) 7.72739 9.20914i 0.387339 0.461613i
\(399\) −30.7741 17.7674i −1.54063 0.889484i
\(400\) 2.73326 + 4.18680i 0.136663 + 0.209340i
\(401\) 11.8921i 0.593863i −0.954899 0.296931i \(-0.904037\pi\)
0.954899 0.296931i \(-0.0959632\pi\)
\(402\) −0.940307 5.33275i −0.0468983 0.265973i
\(403\) 2.21454 + 2.63919i 0.110314 + 0.131467i
\(404\) 7.93506 + 2.88813i 0.394784 + 0.143690i
\(405\) −2.77618 + 1.70583i −0.137949 + 0.0847636i
\(406\) −15.3018 −0.759413
\(407\) 14.1254 13.0348i 0.700172 0.646109i
\(408\) 6.82440i 0.337858i
\(409\) −1.37922 3.78938i −0.0681982 0.187373i 0.900912 0.434003i \(-0.142899\pi\)
−0.969110 + 0.246630i \(0.920677\pi\)
\(410\) 7.94414 + 1.17751i 0.392333 + 0.0581529i
\(411\) 11.4382 9.59775i 0.564202 0.473422i
\(412\) −0.421236 2.38895i −0.0207528 0.117695i
\(413\) 47.6204 2.34325
\(414\) 0.0148310 + 0.0841108i 0.000728904 + 0.00413382i
\(415\) 0.330753 + 0.110227i 0.0162360 + 0.00541082i
\(416\) 1.40293 + 1.17720i 0.0687842 + 0.0577168i
\(417\) 15.5694 8.98898i 0.762435 0.440192i
\(418\) −21.4424 12.3798i −1.04878 0.605516i
\(419\) 32.4698 11.8180i 1.58625 0.577349i 0.609702 0.792631i \(-0.291289\pi\)
0.976552 + 0.215281i \(0.0690668\pi\)
\(420\) −6.30313 + 7.94368i −0.307561 + 0.387612i
\(421\) −30.7230 + 17.7379i −1.49735 + 0.864493i −0.999995 0.00305655i \(-0.999027\pi\)
−0.497351 + 0.867550i \(0.665694\pi\)
\(422\) 4.15805 23.5815i 0.202411 1.14793i
\(423\) −17.4678 3.08005i −0.849315 0.149757i
\(424\) −8.35492 + 9.95701i −0.405751 + 0.483555i
\(425\) 29.1017 1.59527i 1.41164 0.0773818i
\(426\) 5.30155 14.5659i 0.256861 0.705720i
\(427\) 0.336117 + 0.282035i 0.0162658 + 0.0136486i
\(428\) −2.65243 0.467695i −0.128210 0.0226069i
\(429\) 6.67212 + 1.17648i 0.322133 + 0.0568008i
\(430\) −4.16000 4.69066i −0.200613 0.226204i
\(431\) −19.7147 23.4951i −0.949626 1.13172i −0.991172 0.132583i \(-0.957673\pi\)
0.0415462 0.999137i \(-0.486772\pi\)
\(432\) −1.85368 5.09295i −0.0891853 0.245035i
\(433\) 3.91141 + 2.25826i 0.187971 + 0.108525i 0.591032 0.806648i \(-0.298721\pi\)
−0.403062 + 0.915173i \(0.632054\pi\)
\(434\) −3.64351 6.31074i −0.174894 0.302925i
\(435\) −9.09405 4.92353i −0.436026 0.236065i
\(436\) 17.0741 + 9.85775i 0.817702 + 0.472101i
\(437\) −0.404497 + 0.0713237i −0.0193497 + 0.00341187i
\(438\) −5.48150 −0.261916
\(439\) −32.1437 + 5.66780i −1.53413 + 0.270509i −0.875970 0.482365i \(-0.839778\pi\)
−0.658164 + 0.752875i \(0.728667\pi\)
\(440\) −4.39183 + 5.53491i −0.209372 + 0.263867i
\(441\) 12.2559 + 4.46080i 0.583616 + 0.212419i
\(442\) 10.0316 3.65119i 0.477152 0.173669i
\(443\) 8.51396i 0.404510i 0.979333 + 0.202255i \(0.0648270\pi\)
−0.979333 + 0.202255i \(0.935173\pi\)
\(444\) 0.335510 + 7.11348i 0.0159226 + 0.337591i
\(445\) −1.27525 6.22974i −0.0604526 0.295318i
\(446\) 3.52412 + 9.68243i 0.166872 + 0.458476i
\(447\) 3.33034 9.15004i 0.157520 0.432782i
\(448\) −2.48990 2.96735i −0.117637 0.140194i
\(449\) −16.7028 + 2.94515i −0.788253 + 0.138990i −0.553262 0.833007i \(-0.686617\pi\)
−0.234991 + 0.971998i \(0.575506\pi\)
\(450\) 7.49144 3.20119i 0.353150 0.150905i
\(451\) 1.97069 + 11.1763i 0.0927962 + 0.526273i
\(452\) −5.80645 + 10.0571i −0.273113 + 0.473045i
\(453\) −3.52227 + 4.19768i −0.165491 + 0.197224i
\(454\) −6.80086 11.7794i −0.319180 0.552836i
\(455\) −15.0491 5.01528i −0.705515 0.235120i
\(456\) 8.62037 3.13756i 0.403686 0.146930i
\(457\) 1.93215 1.62126i 0.0903821 0.0758395i −0.596477 0.802630i \(-0.703433\pi\)
0.686859 + 0.726791i \(0.258989\pi\)
\(458\) 7.97586 + 13.8146i 0.372688 + 0.645514i
\(459\) −31.1125 5.48598i −1.45221 0.256064i
\(460\) 0.00320898 + 0.117168i 0.000149620 + 0.00546299i
\(461\) −10.1000 + 12.0367i −0.470402 + 0.560604i −0.948121 0.317909i \(-0.897019\pi\)
0.477719 + 0.878513i \(0.341464\pi\)
\(462\) −13.4658 4.90114i −0.626484 0.228022i
\(463\) −6.15029 2.23852i −0.285828 0.104033i 0.195127 0.980778i \(-0.437488\pi\)
−0.480956 + 0.876745i \(0.659710\pi\)
\(464\) 2.53919 3.02608i 0.117879 0.140482i
\(465\) −0.134828 4.92290i −0.00625249 0.228294i
\(466\) −7.29327 1.28600i −0.337854 0.0595728i
\(467\) −13.1213 22.7268i −0.607183 1.05167i −0.991702 0.128555i \(-0.958966\pi\)
0.384520 0.923117i \(-0.374367\pi\)
\(468\) 2.28586 1.91806i 0.105664 0.0886624i
\(469\) −16.8359 + 6.12776i −0.777408 + 0.282954i
\(470\) −23.0935 7.69615i −1.06522 0.354997i
\(471\) 7.26834 + 12.5891i 0.334907 + 0.580077i
\(472\) −7.90217 + 9.41744i −0.363727 + 0.433473i
\(473\) 4.42988 7.67278i 0.203686 0.352795i
\(474\) −1.18273 6.70759i −0.0543245 0.308090i
\(475\) 15.3948 + 36.0270i 0.706362 + 1.65303i
\(476\) −22.2365 + 3.92089i −1.01921 + 0.179714i
\(477\) 13.6131 + 16.2234i 0.623299 + 0.742819i
\(478\) 4.18004 11.4846i 0.191191 0.525292i
\(479\) 5.16143 + 14.1809i 0.235832 + 0.647943i 0.999996 + 0.00292050i \(0.000929625\pi\)
−0.764164 + 0.645022i \(0.776848\pi\)
\(480\) −0.525001 2.56469i −0.0239629 0.117062i
\(481\) −10.2770 + 4.29903i −0.468590 + 0.196019i
\(482\) 8.88100i 0.404519i
\(483\) −0.223383 + 0.0813049i −0.0101643 + 0.00369950i
\(484\) 0.954089 + 0.347260i 0.0433677 + 0.0157845i
\(485\) 23.8698 30.0825i 1.08387 1.36598i
\(486\) −14.3323 + 2.52717i −0.650127 + 0.114635i
\(487\) −10.2551 −0.464703 −0.232351 0.972632i \(-0.574642\pi\)
−0.232351 + 0.972632i \(0.574642\pi\)
\(488\) −0.111551 + 0.0196694i −0.00504967 + 0.000890394i
\(489\) −18.3721 10.6072i −0.830817 0.479673i
\(490\) 15.7403 + 8.52183i 0.711075 + 0.384977i
\(491\) 12.4486 + 21.5615i 0.561796 + 0.973059i 0.997340 + 0.0728915i \(0.0232227\pi\)
−0.435544 + 0.900167i \(0.643444\pi\)
\(492\) −3.64146 2.10240i −0.164170 0.0947834i
\(493\) −7.87552 21.6378i −0.354696 0.974518i
\(494\) 9.22413 + 10.9929i 0.415013 + 0.494594i
\(495\) 7.63869 + 8.61310i 0.343334 + 0.387130i
\(496\) 1.85262 + 0.326667i 0.0831852 + 0.0146678i
\(497\) −50.5072 8.90578i −2.26556 0.399479i
\(498\) −0.139832 0.117333i −0.00626600 0.00525780i
\(499\) 8.15738 22.4122i 0.365174 1.00331i −0.611998 0.790860i \(-0.709634\pi\)
0.977172 0.212449i \(-0.0681439\pi\)
\(500\) 10.8141 2.83832i 0.483620 0.126933i
\(501\) −10.6154 + 12.6509i −0.474261 + 0.565202i
\(502\) 23.7672 + 4.19079i 1.06078 + 0.187044i
\(503\) −0.295948 + 1.67841i −0.0131957 + 0.0748364i −0.990694 0.136105i \(-0.956542\pi\)
0.977499 + 0.210941i \(0.0676528\pi\)
\(504\) −5.46586 + 3.15571i −0.243469 + 0.140567i
\(505\) 11.7366 14.7914i 0.522272 0.658207i
\(506\) −0.155647 + 0.0566508i −0.00691934 + 0.00251843i
\(507\) 9.78006 + 5.64652i 0.434348 + 0.250771i
\(508\) 9.99232 5.76907i 0.443337 0.255961i
\(509\) −23.9226 20.0734i −1.06035 0.889739i −0.0662058 0.997806i \(-0.521089\pi\)
−0.994144 + 0.108067i \(0.965534\pi\)
\(510\) −14.4771 4.82463i −0.641055 0.213638i
\(511\) 3.14935 + 17.8608i 0.139319 + 0.790116i
\(512\) 1.00000 0.0441942
\(513\) −7.37446 41.8226i −0.325590 1.84651i
\(514\) 15.9494 13.3831i 0.703498 0.590305i
\(515\) −5.36564 0.795312i −0.236438 0.0350456i
\(516\) 1.12272 + 3.08464i 0.0494249 + 0.135794i
\(517\) 34.3986i 1.51285i
\(518\) 22.9857 5.18020i 1.00993 0.227605i
\(519\) −3.22515 −0.141568
\(520\) 3.48909 2.14389i 0.153007 0.0940157i
\(521\) 36.4875 + 13.2804i 1.59855 + 0.581824i 0.979130 0.203237i \(-0.0651462\pi\)
0.619419 + 0.785061i \(0.287368\pi\)
\(522\) −4.13721 4.93054i −0.181081 0.215804i
\(523\) 1.53590 + 8.71055i 0.0671604 + 0.380886i 0.999799 + 0.0200724i \(0.00638969\pi\)
−0.932638 + 0.360813i \(0.882499\pi\)
\(524\) 1.98462i 0.0866985i
\(525\) 12.3954 + 18.9872i 0.540978 + 0.828668i
\(526\) −14.5155 8.38053i −0.632906 0.365409i
\(527\) 7.04861 8.40020i 0.307042 0.365919i
\(528\) 3.20377 1.84970i 0.139426 0.0804978i
\(529\) 11.4986 19.9162i 0.499940 0.865922i
\(530\) 15.2158 + 24.7631i 0.660933 + 1.07564i
\(531\) 12.8754 + 15.3443i 0.558744 + 0.665885i
\(532\) −15.1761 26.2858i −0.657968 1.13963i
\(533\) 1.14218 6.47760i 0.0494731 0.280576i
\(534\) −0.578140 + 3.27879i −0.0250186 + 0.141887i
\(535\) −2.86734 + 5.29614i −0.123966 + 0.228972i
\(536\) 1.58193 4.34632i 0.0683290 0.187732i
\(537\) −7.57677 2.75772i −0.326962 0.119004i
\(538\) 22.8586 + 19.1806i 0.985503 + 0.826935i
\(539\) −4.39222 + 24.9095i −0.189186 + 1.07293i
\(540\) −12.1145 + 0.331791i −0.521325 + 0.0142780i
\(541\) 24.4959 14.1427i 1.05316 0.608044i 0.129630 0.991562i \(-0.458621\pi\)
0.923533 + 0.383519i \(0.125288\pi\)
\(542\) 7.08319 5.94351i 0.304249 0.255295i
\(543\) −2.24573 6.17008i −0.0963734 0.264784i
\(544\) 2.91454 5.04814i 0.124960 0.216437i
\(545\) 32.9828 29.2514i 1.41283 1.25299i
\(546\) 6.36229 + 5.33860i 0.272281 + 0.228471i
\(547\) −21.8895 + 37.9137i −0.935927 + 1.62107i −0.162953 + 0.986634i \(0.552102\pi\)
−0.772973 + 0.634439i \(0.781231\pi\)
\(548\) 12.5600 2.21467i 0.536536 0.0946058i
\(549\) 0.184559i 0.00787678i
\(550\) 8.63671 + 13.2297i 0.368270 + 0.564115i
\(551\) 23.7114 19.8962i 1.01014 0.847608i
\(552\) 0.0209895 0.0576682i 0.000893373 0.00245452i
\(553\) −21.1764 + 7.70756i −0.900510 + 0.327759i
\(554\) 1.17041 0.0497261
\(555\) 15.3275 + 4.31726i 0.650616 + 0.183257i
\(556\) 15.3559 0.651237
\(557\) −7.02487 + 2.55684i −0.297653 + 0.108337i −0.486530 0.873664i \(-0.661738\pi\)
0.188877 + 0.982001i \(0.439515\pi\)
\(558\) 1.04834 2.88028i 0.0443796 0.121932i
\(559\) −3.93360 + 3.30068i −0.166374 + 0.139604i
\(560\) −8.05511 + 3.18417i −0.340390 + 0.134556i
\(561\) 21.5641i 0.910437i
\(562\) −28.0576 + 4.94731i −1.18354 + 0.208690i
\(563\) 7.21335 12.4939i 0.304006 0.526555i −0.673033 0.739612i \(-0.735009\pi\)
0.977040 + 0.213058i \(0.0683422\pi\)
\(564\) 9.76319 + 8.19229i 0.411105 + 0.344958i
\(565\) 17.2298 + 19.4276i 0.724862 + 0.817327i
\(566\) −0.106040 + 0.183667i −0.00445721 + 0.00772012i
\(567\) −1.93056 5.30416i −0.0810757 0.222754i
\(568\) 10.1424 8.51050i 0.425567 0.357093i
\(569\) −21.6406 + 12.4942i −0.907223 + 0.523785i −0.879536 0.475831i \(-0.842147\pi\)
−0.0276861 + 0.999617i \(0.508814\pi\)
\(570\) −0.561592 20.5051i −0.0235225 0.858865i
\(571\) 2.47000 14.0081i 0.103366 0.586220i −0.888494 0.458889i \(-0.848248\pi\)
0.991860 0.127332i \(-0.0406412\pi\)
\(572\) 4.43305 + 3.71977i 0.185355 + 0.155531i
\(573\) −14.6818 5.34375i −0.613342 0.223238i
\(574\) −4.75825 + 13.0732i −0.198605 + 0.545664i
\(575\) 0.250825 + 0.0760265i 0.0104601 + 0.00317053i
\(576\) 0.282933 1.60459i 0.0117889 0.0668580i
\(577\) −1.38672 + 7.86446i −0.0577297 + 0.327402i −0.999972 0.00753148i \(-0.997603\pi\)
0.942242 + 0.334933i \(0.108714\pi\)
\(578\) −8.48913 14.7036i −0.353101 0.611590i
\(579\) 4.73306 + 5.64064i 0.196699 + 0.234417i
\(580\) −4.62431 7.52589i −0.192014 0.312495i
\(581\) −0.301976 + 0.523037i −0.0125281 + 0.0216992i
\(582\) −17.4127 + 10.0532i −0.721778 + 0.416719i
\(583\) −26.4003 + 31.4627i −1.09339 + 1.30305i
\(584\) −4.05477 2.34102i −0.167788 0.0968723i
\(585\) −2.45289 6.20515i −0.101414 0.256551i
\(586\) 2.76761i 0.114329i
\(587\) −6.01674 34.1226i −0.248337 1.40839i −0.812612 0.582804i \(-0.801955\pi\)
0.564275 0.825587i \(-0.309156\pi\)
\(588\) −6.02391 7.17902i −0.248422 0.296058i
\(589\) 13.8515 + 5.04154i 0.570742 + 0.207733i
\(590\) 14.3913 + 23.4212i 0.592479 + 0.964237i
\(591\) −17.4068 −0.716019
\(592\) −2.78982 + 5.40527i −0.114661 + 0.222155i
\(593\) 31.3108i 1.28578i −0.765958 0.642890i \(-0.777735\pi\)
0.765958 0.642890i \(-0.222265\pi\)
\(594\) −5.85737 16.0930i −0.240331 0.660303i
\(595\) −7.40282 + 49.9437i −0.303486 + 2.04749i
\(596\) 6.37129 5.34614i 0.260978 0.218987i
\(597\) 2.44399 + 13.8606i 0.100026 + 0.567275i
\(598\) 0.0959994 0.00392571
\(599\) 3.48256 + 19.7506i 0.142294 + 0.806987i 0.969500 + 0.245090i \(0.0788174\pi\)
−0.827207 + 0.561898i \(0.810071\pi\)
\(600\) −5.81181 0.699433i −0.237266 0.0285542i
\(601\) −16.3450 13.7151i −0.666726 0.559449i 0.245368 0.969430i \(-0.421091\pi\)
−0.912094 + 0.409980i \(0.865536\pi\)
\(602\) 9.40588 5.43049i 0.383355 0.221330i
\(603\) −6.52649 3.76807i −0.265779 0.153448i
\(604\) −4.39822 + 1.60082i −0.178961 + 0.0651365i
\(605\) 1.41118 1.77847i 0.0573724 0.0723051i
\(606\) −8.56168 + 4.94309i −0.347795 + 0.200799i
\(607\) 0.528719 2.99851i 0.0214600 0.121706i −0.972196 0.234169i \(-0.924763\pi\)
0.993656 + 0.112463i \(0.0358741\pi\)
\(608\) 7.71663 + 1.36065i 0.312951 + 0.0551817i
\(609\) 11.5152 13.7233i 0.466621 0.556097i
\(610\) −0.0371368 + 0.250546i −0.00150362 + 0.0101443i
\(611\) −6.81879 + 18.7345i −0.275859 + 0.757916i
\(612\) −7.27559 6.10494i −0.294098 0.246778i
\(613\) −7.12661 1.25661i −0.287841 0.0507541i 0.0278634 0.999612i \(-0.491130\pi\)
−0.315704 + 0.948858i \(0.602241\pi\)
\(614\) 29.6306 + 5.22467i 1.19579 + 0.210850i
\(615\) −7.03435 + 6.23855i −0.283652 + 0.251562i
\(616\) −7.86772 9.37638i −0.316999 0.377785i
\(617\) −4.63330 12.7299i −0.186530 0.512486i 0.810816 0.585301i \(-0.199024\pi\)
−0.997345 + 0.0728155i \(0.976802\pi\)
\(618\) 2.45952 + 1.42000i 0.0989363 + 0.0571209i
\(619\) 16.7671 + 29.0415i 0.673926 + 1.16727i 0.976781 + 0.214238i \(0.0687268\pi\)
−0.302855 + 0.953037i \(0.597940\pi\)
\(620\) 2.00272 3.69915i 0.0804313 0.148561i
\(621\) −0.246037 0.142050i −0.00987314 0.00570026i
\(622\) −1.54935 + 0.273192i −0.0621232 + 0.0109540i
\(623\) 11.0157 0.441336
\(624\) −2.11153 + 0.372319i −0.0845288 + 0.0149047i
\(625\) 1.62408 24.9472i 0.0649630 0.997888i
\(626\) −20.0295 7.29015i −0.800540 0.291373i
\(627\) 27.2391 9.91423i 1.08783 0.395936i
\(628\) 12.4166i 0.495475i
\(629\) 19.1555 + 29.8373i 0.763779 + 1.18969i
\(630\) 2.83024 + 13.8261i 0.112760 + 0.550844i
\(631\) 2.13360 + 5.86201i 0.0849372 + 0.233363i 0.974889 0.222692i \(-0.0714843\pi\)
−0.889952 + 0.456055i \(0.849262\pi\)
\(632\) 1.98977 5.46685i 0.0791488 0.217459i
\(633\) 18.0199 + 21.4752i 0.716225 + 0.853564i
\(634\) 12.0836 2.13067i 0.479901 0.0846195i
\(635\) −5.17407 25.2759i −0.205327 1.00304i
\(636\) −2.64246 14.9862i −0.104781 0.594240i
\(637\) 7.32991 12.6958i 0.290422 0.503025i
\(638\) 8.02346 9.56198i 0.317652 0.378563i
\(639\) −10.7863 18.6824i −0.426698 0.739063i
\(640\) 0.706967 2.12137i 0.0279453 0.0838544i
\(641\) −11.8514 + 4.31355i −0.468101 + 0.170375i −0.565292 0.824891i \(-0.691236\pi\)
0.0971910 + 0.995266i \(0.469014\pi\)
\(642\) 2.41552 2.02686i 0.0953330 0.0799939i
\(643\) −15.4047 26.6817i −0.607501 1.05222i −0.991651 0.128952i \(-0.958839\pi\)
0.384149 0.923271i \(-0.374495\pi\)
\(644\) −0.199964 0.0352591i −0.00787970 0.00138940i
\(645\) 7.33738 0.200955i 0.288909 0.00791260i
\(646\) 29.3592 34.9890i 1.15512 1.37662i
\(647\) 15.3762 + 5.59648i 0.604501 + 0.220020i 0.626096 0.779746i \(-0.284652\pi\)
−0.0215943 + 0.999767i \(0.506874\pi\)
\(648\) 1.36931 + 0.498389i 0.0537917 + 0.0195786i
\(649\) −24.9697 + 29.7578i −0.980147 + 1.16809i
\(650\) −2.08130 8.91730i −0.0816352 0.349765i
\(651\) 8.40165 + 1.48144i 0.329287 + 0.0580621i
\(652\) −9.06015 15.6926i −0.354823 0.614571i
\(653\) 8.20666 6.88621i 0.321152 0.269478i −0.467931 0.883765i \(-0.655001\pi\)
0.789083 + 0.614287i \(0.210556\pi\)
\(654\) −21.6899 + 7.89448i −0.848142 + 0.308699i
\(655\) −4.21010 1.40306i −0.164502 0.0548221i
\(656\) −1.79577 3.11037i −0.0701131 0.121439i
\(657\) −4.90362 + 5.84391i −0.191308 + 0.227992i
\(658\) 21.0843 36.5190i 0.821950 1.42366i
\(659\) −2.85317 16.1811i −0.111144 0.630328i −0.988587 0.150648i \(-0.951864\pi\)
0.877444 0.479680i \(-0.159247\pi\)
\(660\) −1.65893 8.10405i −0.0645736 0.315450i
\(661\) −37.0623 + 6.53508i −1.44156 + 0.254185i −0.839104 0.543971i \(-0.816920\pi\)
−0.602451 + 0.798156i \(0.705809\pi\)
\(662\) 10.8495 + 12.9299i 0.421678 + 0.502536i
\(663\) −4.27462 + 11.7444i −0.166013 + 0.456116i
\(664\) −0.0533260 0.146512i −0.00206945 0.00568577i
\(665\) −66.4908 + 13.6109i −2.57840 + 0.527808i
\(666\) 7.88392 + 6.00585i 0.305496 + 0.232722i
\(667\) 0.207068i 0.00801772i
\(668\) −13.2553 + 4.82455i −0.512864 + 0.186667i
\(669\) −11.3357 4.12586i −0.438263 0.159515i
\(670\) −8.10176 6.42856i −0.312998 0.248357i
\(671\) −0.352485 + 0.0621526i −0.0136075 + 0.00239937i
\(672\) 4.53501 0.174942
\(673\) 27.5521 4.85817i 1.06205 0.187269i 0.384787 0.923006i \(-0.374275\pi\)
0.677268 + 0.735737i \(0.263164\pi\)
\(674\) −22.4215 12.9450i −0.863643 0.498624i
\(675\) −7.86071 + 25.9339i −0.302559 + 0.998195i
\(676\) 4.82300 + 8.35368i 0.185500 + 0.321295i
\(677\) 26.6112 + 15.3640i 1.02275 + 0.590487i 0.914900 0.403680i \(-0.132269\pi\)
0.107853 + 0.994167i \(0.465602\pi\)
\(678\) −4.65004 12.7759i −0.178584 0.490654i
\(679\) 42.7614 + 50.9611i 1.64103 + 1.95571i
\(680\) −8.64847 9.75169i −0.331654 0.373960i
\(681\) 15.6823 + 2.76521i 0.600946 + 0.105963i
\(682\) 5.85401 + 1.03222i 0.224162 + 0.0395258i
\(683\) −1.68483 1.41374i −0.0644681 0.0540952i 0.609984 0.792414i \(-0.291176\pi\)
−0.674452 + 0.738318i \(0.735620\pi\)
\(684\) 4.36658 11.9971i 0.166960 0.458720i
\(685\) 4.18139 28.2101i 0.159763 1.07785i
\(686\) −2.50170 + 2.98141i −0.0955153 + 0.113831i
\(687\) −18.3918 3.24296i −0.701689 0.123727i
\(688\) −0.486883 + 2.76125i −0.0185623 + 0.105272i
\(689\) 20.6152 11.9022i 0.785376 0.453437i
\(690\) −0.107497 0.0852960i −0.00409232 0.00324716i
\(691\) 24.8083 9.02948i 0.943752 0.343498i 0.176105 0.984371i \(-0.443650\pi\)
0.767646 + 0.640874i \(0.221428\pi\)
\(692\) −2.38571 1.37739i −0.0906909 0.0523604i
\(693\) −17.2713 + 9.97160i −0.656083 + 0.378790i
\(694\) −12.5762 10.5527i −0.477385 0.400573i
\(695\) 10.8562 32.5756i 0.411797 1.23566i
\(696\) 0.803084 + 4.55452i 0.0304408 + 0.172639i
\(697\) −20.9354 −0.792985
\(698\) 3.63461 + 20.6129i 0.137572 + 0.780210i
\(699\) 6.64184 5.57317i 0.251218 0.210797i
\(700\) 1.06010 + 19.3389i 0.0400680 + 0.730943i
\(701\) 15.8620 + 43.5806i 0.599101 + 1.64602i 0.753069 + 0.657941i \(0.228572\pi\)
−0.153968 + 0.988076i \(0.549205\pi\)
\(702\) 9.92579i 0.374625i
\(703\) −28.8827 + 37.9145i −1.08933 + 1.42997i
\(704\) 3.15985 0.119091
\(705\) 24.2811 14.9196i 0.914480 0.561906i
\(706\) −12.0586 4.38896i −0.453831 0.165181i
\(707\) 21.0255 + 25.0572i 0.790745 + 0.942374i
\(708\) −2.49927 14.1741i −0.0939283 0.532694i
\(709\) 2.53774i 0.0953067i −0.998864 0.0476534i \(-0.984826\pi\)
0.998864 0.0476534i \(-0.0151743\pi\)
\(710\) −10.8835 27.5324i −0.408452 1.03327i
\(711\) −8.20909 4.73952i −0.307865 0.177746i
\(712\) −1.82796 + 2.17848i −0.0685056 + 0.0816418i
\(713\) 0.0853990 0.0493051i 0.00319822 0.00184649i
\(714\) 13.2175 22.8933i 0.494652 0.856762i
\(715\) 11.0250 6.77437i 0.412312 0.253347i
\(716\) −4.42692 5.27580i −0.165442 0.197166i
\(717\) 7.15423 + 12.3915i 0.267180 + 0.462769i
\(718\) −3.16896 + 17.9721i −0.118265 + 0.670711i
\(719\) −0.394614 + 2.23797i −0.0147166 + 0.0834621i −0.991281 0.131761i \(-0.957937\pi\)
0.976565 + 0.215223i \(0.0690479\pi\)
\(720\) −3.20391 1.73460i −0.119403 0.0646447i
\(721\) 3.21382 8.82989i 0.119689 0.328842i
\(722\) 39.8409 + 14.5009i 1.48272 + 0.539668i
\(723\) −7.96489 6.68334i −0.296217 0.248556i
\(724\) 0.973894 5.52323i 0.0361945 0.205269i
\(725\) −19.2344 + 4.48931i −0.714348 + 0.166729i
\(726\) −1.02943 + 0.594343i −0.0382058 + 0.0220581i
\(727\) 26.7832 22.4737i 0.993332 0.833505i 0.00728565 0.999973i \(-0.497681\pi\)
0.986047 + 0.166469i \(0.0532364\pi\)
\(728\) 2.42632 + 6.66625i 0.0899253 + 0.247068i
\(729\) 10.7050 18.5416i 0.396481 0.686725i
\(730\) −7.83276 + 6.94663i −0.289904 + 0.257106i
\(731\) 12.5201 + 10.5056i 0.463074 + 0.388565i
\(732\) 0.0663064 0.114846i 0.00245076 0.00424483i
\(733\) −21.8656 + 3.85550i −0.807625 + 0.142406i −0.562191 0.827007i \(-0.690042\pi\)
−0.245434 + 0.969413i \(0.578930\pi\)
\(734\) 1.28746i 0.0475212i
\(735\) −19.4880 + 7.70359i −0.718827 + 0.284151i
\(736\) 0.0401551 0.0336941i 0.00148014 0.00124198i
\(737\) 4.99867 13.7337i 0.184128 0.505888i
\(738\) −5.49896 + 2.00146i −0.202419 + 0.0736746i
\(739\) 35.9405 1.32209 0.661046 0.750345i \(-0.270113\pi\)
0.661046 + 0.750345i \(0.270113\pi\)
\(740\) 9.49424 + 9.73958i 0.349015 + 0.358034i
\(741\) −16.8005 −0.617181
\(742\) −47.3124 + 17.2203i −1.73689 + 0.632177i
\(743\) 9.56742 26.2863i 0.350995 0.964350i −0.631057 0.775737i \(-0.717379\pi\)
0.982051 0.188613i \(-0.0603992\pi\)
\(744\) −1.68715 + 1.41568i −0.0618538 + 0.0519015i
\(745\) −6.83684 17.2954i −0.250482 0.633654i
\(746\) 6.60820i 0.241943i
\(747\) −0.250180 + 0.0441135i −0.00915360 + 0.00161403i
\(748\) 9.20953 15.9514i 0.336734 0.583240i
\(749\) −7.99210 6.70617i −0.292025 0.245038i
\(750\) −5.59251 + 11.8345i −0.204210 + 0.432135i
\(751\) −6.09994 + 10.5654i −0.222590 + 0.385537i −0.955594 0.294688i \(-0.904784\pi\)
0.733004 + 0.680225i \(0.238118\pi\)
\(752\) 3.72328 + 10.2296i 0.135774 + 0.373036i
\(753\) −21.6443 + 18.1617i −0.788763 + 0.661850i
\(754\) −6.26526 + 3.61725i −0.228167 + 0.131733i
\(755\) 0.286531 + 10.4620i 0.0104279 + 0.380750i
\(756\) 3.64559 20.6752i 0.132589 0.751949i
\(757\) 26.3574 + 22.1165i 0.957977 + 0.803838i 0.980623 0.195906i \(-0.0627647\pi\)
−0.0226462 + 0.999744i \(0.507209\pi\)
\(758\) −8.54313 3.10945i −0.310301 0.112940i
\(759\) 0.0663238 0.182223i 0.00240740 0.00661428i
\(760\) 8.34185 15.4079i 0.302591 0.558902i
\(761\) −0.0643946 + 0.365200i −0.00233430 + 0.0132385i −0.985953 0.167025i \(-0.946584\pi\)
0.983618 + 0.180263i \(0.0576950\pi\)
\(762\) −2.34568 + 13.3030i −0.0849752 + 0.481918i
\(763\) 38.1849 + 66.1383i 1.38239 + 2.39437i
\(764\) −8.57823 10.2231i −0.310350 0.369860i
\(765\) −18.0944 + 11.1182i −0.654205 + 0.401979i
\(766\) 7.87155 13.6339i 0.284411 0.492614i
\(767\) 19.4981 11.2572i 0.704034 0.406474i
\(768\) −0.752543 + 0.896846i −0.0271551 + 0.0323621i
\(769\) −17.0519 9.84491i −0.614906 0.355016i 0.159977 0.987121i \(-0.448858\pi\)
−0.774883 + 0.632104i \(0.782191\pi\)
\(770\) −25.4530 + 10.0615i −0.917261 + 0.362592i
\(771\) 24.3755i 0.877863i
\(772\)