Properties

Label 370.2.v.b.289.4
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 289.4
Character \(\chi\) \(=\) 370.289
Dual form 370.2.v.b.169.4

$q$-expansion

\(f(q)\) \(=\) \(q+(0.939693 - 0.342020i) q^{2} +(-0.400420 + 1.10014i) q^{3} +(0.766044 - 0.642788i) q^{4} +(-0.0612182 + 2.23523i) q^{5} +1.17075i q^{6} +(-3.81475 + 0.672643i) q^{7} +(0.500000 - 0.866025i) q^{8} +(1.24815 + 1.04732i) q^{9} +O(q^{10})\) \(q+(0.939693 - 0.342020i) q^{2} +(-0.400420 + 1.10014i) q^{3} +(0.766044 - 0.642788i) q^{4} +(-0.0612182 + 2.23523i) q^{5} +1.17075i q^{6} +(-3.81475 + 0.672643i) q^{7} +(0.500000 - 0.866025i) q^{8} +(1.24815 + 1.04732i) q^{9} +(0.706967 + 2.12137i) 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} +(-2.43456 - 0.962379i) 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} +(1.38988 + 1.75164i) 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} +(-4.99250 - 0.273673i) 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} +(-2.61689 - 0.0716712i) q^{30} +1.88120i q^{31} +(-0.173648 - 0.984808i) q^{32} +(-2.37793 - 2.83390i) q^{33} +(5.47755 + 1.99367i) q^{34} +(-1.26998 - 8.56801i) q^{35} +1.62935 q^{36} +(5.80760 + 1.80882i) q^{37} -7.83567i q^{38} +(-0.733326 - 2.01480i) q^{39} +(1.90516 + 1.17063i) q^{40} +(2.75128 - 2.30860i) q^{41} +(-0.787496 - 4.46611i) q^{42} +2.80385 q^{43} +(0.548703 + 3.11185i) q^{44} +(-2.41742 + 2.72579i) 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} +(-4.78502 + 1.45037i) 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} +(-6.02002 - 3.69902i) 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} +(-2.48359 + 0.827681i) 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} +(-2.54542 - 3.20793i) q^{65} +(-3.20377 - 1.84970i) q^{66} +(4.55499 - 0.803167i) q^{67} +5.82909 q^{68} +(-0.0604369 + 0.0106567i) q^{69} +(-4.12382 - 7.61694i) 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} +(-8.64847 + 9.75169i) 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} +(-1.33936 + 3.38821i) 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} +(16.2942 + 6.44108i) 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})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 60 q + 6 q^{5} + 30 q^{8} - 6 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 60 q + 6 q^{5} + 30 q^{8} - 6 q^{9} - 9 q^{10} + 6 q^{11} + 3 q^{13} + 9 q^{14} - 6 q^{15} - 3 q^{17} - 12 q^{18} + 3 q^{19} + 3 q^{20} + 12 q^{21} + 3 q^{22} + 18 q^{23} - 18 q^{25} - 27 q^{26} + 18 q^{30} + 66 q^{33} + 21 q^{34} + 9 q^{35} - 72 q^{36} - 6 q^{37} + 12 q^{39} + 12 q^{40} - 57 q^{41} - 12 q^{42} - 60 q^{43} - 3 q^{44} + 9 q^{45} - 21 q^{46} + 18 q^{47} - 6 q^{49} + 6 q^{50} + 3 q^{52} + 6 q^{53} + 3 q^{55} - 30 q^{57} - 15 q^{58} - 12 q^{59} - 9 q^{60} + 42 q^{61} + 12 q^{62} + 9 q^{63} - 30 q^{64} - 15 q^{65} + 18 q^{67} + 24 q^{68} + 36 q^{69} - 12 q^{70} + 18 q^{71} - 12 q^{72} + 3 q^{74} - 78 q^{75} - 3 q^{76} - 21 q^{77} - 6 q^{78} - 24 q^{79} - 36 q^{81} - 27 q^{82} - 30 q^{83} + 12 q^{84} - 30 q^{85} - 18 q^{86} + 30 q^{87} - 6 q^{88} + 3 q^{89} + 57 q^{91} - 15 q^{92} - 60 q^{93} + 3 q^{94} + 6 q^{95} - 84 q^{97} + 6 q^{98} - 45 q^{99}+O(q^{100}) \) 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 −0.999991 0.00431076i \(-0.998628\pi\)
0.768808 + 0.639479i \(0.220850\pi\)
\(4\) 0.766044 0.642788i 0.383022 0.321394i
\(5\) −0.0612182 + 2.23523i −0.0273776 + 0.999625i
\(6\) 1.17075i 0.477956i
\(7\) −3.81475 + 0.672643i −1.44184 + 0.254235i −0.839219 0.543794i \(-0.816987\pi\)
−0.602620 + 0.798029i \(0.705876\pi\)
\(8\) 0.500000 0.866025i 0.176777 0.306186i
\(9\) 1.24815 + 1.04732i 0.416051 + 0.349108i
\(10\) 0.706967 + 2.12137i 0.223563 + 0.670835i
\(11\) −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 −0.816263 0.577680i \(-0.803958\pi\)
0.427161 + 0.904176i \(0.359514\pi\)
\(14\) −3.35463 + 1.93680i −0.896563 + 0.517631i
\(15\) −2.43456 0.962379i −0.628601 0.248485i
\(16\) 0.173648 0.984808i 0.0434120 0.246202i
\(17\) 4.46534 + 3.74687i 1.08300 + 0.908748i 0.996167 0.0874741i \(-0.0278795\pi\)
0.0868373 + 0.996223i \(0.472324\pi\)
\(18\) 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 \(-0.244459\pi\)
\(20\) 1.38988 + 1.75164i 0.310787 + 0.391678i
\(21\) 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 0.868745 0.495260i \(-0.164927\pi\)
−0.863280 + 0.504725i \(0.831594\pi\)
\(24\) 0.752543 + 0.896846i 0.153612 + 0.183068i
\(25\) −4.99250 0.273673i −0.998501 0.0547347i
\(26\) −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 \(0.547129\pi\)
\(30\) −2.61689 0.0716712i −0.477777 0.0130853i
\(31\) 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
\(35\) −1.26998 8.56801i −0.214666 1.44826i
\(36\) 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
\(40\) 1.90516 + 1.17063i 0.301232 + 0.185093i
\(41\) 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 \(-0.431419\pi\)
0.213792 + 0.976879i \(0.431419\pi\)
\(44\) 0.548703 + 3.11185i 0.0827201 + 0.469129i
\(45\) −2.41742 + 2.72579i −0.360367 + 0.406337i
\(46\) 0.0401551 + 0.0336941i 0.00592055 + 0.00496793i
\(47\) 9.42768 5.44307i 1.37517 0.793954i 0.383595 0.923502i \(-0.374686\pi\)
0.991573 + 0.129548i \(0.0413526\pi\)
\(48\) 1.01390 + 0.585375i 0.146344 + 0.0844915i
\(49\) 7.52199 2.73778i 1.07457 0.391112i
\(50\) −4.78502 + 1.45037i −0.676704 + 0.205113i
\(51\) −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 −0.800887 0.598815i \(-0.795638\pi\)
−0.957395 + 0.288783i \(0.906750\pi\)
\(54\) −3.48378 + 4.15181i −0.474083 + 0.564990i
\(55\) −6.02002 3.69902i −0.811739 0.498776i
\(56\) −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 \(0.260258\pi\)
\(60\) −2.48359 + 0.827681i −0.320630 + 0.106853i
\(61\) 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
\(65\) −2.54542 3.20793i −0.315721 0.397895i
\(66\) −3.20377 1.84970i −0.394357 0.227682i
\(67\) 4.55499 0.803167i 0.556480 0.0981225i 0.111667 0.993746i \(-0.464381\pi\)
0.444813 + 0.895623i \(0.353270\pi\)
\(68\) 5.82909 0.706881
\(69\) −0.0604369 + 0.0106567i −0.00727575 + 0.00128291i
\(70\) −4.12382 7.61694i −0.492891 0.910398i
\(71\) −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 \(-0.911654\pi\)
0.961731 0.273996i \(-0.0883456\pi\)
\(74\) 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 −0.760516 0.649319i \(-0.775054\pi\)
0.771517 + 0.636209i \(0.219498\pi\)
\(84\) −2.26750 3.92743i −0.247405 0.428518i
\(85\) −8.64847 + 9.75169i −0.938058 + 1.05772i
\(86\) 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 \(0.507396\pi\)
\(90\) −1.33936 + 3.38821i −0.141180 + 0.357149i
\(91\) 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
\(95\) 16.2942 + 6.44108i 1.67175 + 0.660841i
\(96\) 1.15296 + 0.203298i 0.117674 + 0.0207491i
\(97\) −8.58698 14.8731i −0.871876 1.51013i −0.860054 0.510204i \(-0.829570\pi\)
−0.0118226 0.999930i \(-0.503763\pi\)
\(98\) 6.13199 5.14535i 0.619424 0.519759i
\(99\) −4.83800 + 1.76089i −0.486238 + 0.176976i
\(100\) −4.00039 + 2.99947i −0.400039 + 0.299947i
\(101\) 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 −0.919574 0.392917i \(-0.871466\pi\)
0.800063 + 0.599916i \(0.204799\pi\)
\(104\) 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 0.843208 0.537587i \(-0.180664\pi\)
−0.675842 + 0.737047i \(0.736220\pi\)
\(108\) −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 0.226795 0.973943i \(-0.427175\pi\)
0.799773 + 0.600303i \(0.204953\pi\)
\(114\) 8.62037 + 3.13756i 0.807372 + 0.293859i
\(115\) −0.103075 + 0.0558050i −0.00961179 + 0.00520384i
\(116\) 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
\(120\) −2.05073 + 1.62720i −0.187205 + 0.148543i
\(121\) 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
\(125\) 0.917355 11.1426i 0.0820508 0.996628i
\(126\) −6.21554 1.09597i −0.553725 0.0976366i
\(127\) −11.3628 2.00358i −1.00829 0.177789i −0.354975 0.934876i \(-0.615511\pi\)
−0.653314 + 0.757087i \(0.726622\pi\)
\(128\) −0.766044 0.642788i −0.0677094 0.0568149i
\(129\) −1.12272 + 3.08464i −0.0988497 + 0.271587i
\(130\) −3.48909 2.14389i −0.306014 0.188031i
\(131\) 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
\(135\) −5.76991 10.6574i −0.496595 0.917240i
\(136\) 5.47755 1.99367i 0.469696 0.170955i
\(137\) −11.0451 6.37688i −0.943644 0.544813i −0.0525435 0.998619i \(-0.516733\pi\)
−0.891101 + 0.453805i \(0.850066\pi\)
\(138\) −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 \(0.496473\pi\)
\(140\) −6.48027 5.74715i −0.547683 0.485723i
\(141\) 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
\(145\) −4.62431 + 7.52589i −0.384028 + 0.624991i
\(146\) −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 \(0.389342\pi\)
\(150\) 0.320403 5.84497i 0.0261608 0.477240i
\(151\) −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
\(155\) −4.20492 0.115164i −0.337747 0.00925018i
\(156\) −1.85685 1.07205i −0.148667 0.0858328i
\(157\) 7.98121 9.51164i 0.636970 0.759111i −0.346918 0.937895i \(-0.612772\pi\)
0.983888 + 0.178784i \(0.0572163\pi\)
\(158\) −5.03827 + 2.90885i −0.400823 + 0.231416i
\(159\) 7.60867 13.1786i 0.603407 1.04513i
\(160\) 2.21190 0.327855i 0.174866 0.0259192i
\(161\) −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 \(0.306701\pi\)
−0.817083 + 0.576519i \(0.804411\pi\)
\(164\) 0.623665 3.53698i 0.0487000 0.276192i
\(165\) 6.48000 5.14173i 0.504467 0.400283i
\(166\) 0.0533260 0.146512i 0.00413890 0.0113715i
\(167\) 13.2553 + 4.82455i 1.02573 + 0.373335i 0.799453 0.600728i \(-0.205123\pi\)
0.226276 + 0.974063i \(0.427345\pi\)
\(168\) −3.47402 2.91505i −0.268026 0.224901i
\(169\) −1.67501 + 9.49945i −0.128847 + 0.730727i
\(170\) −4.79163 + 12.1215i −0.367501 + 0.929679i
\(171\) 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 0.970343 0.241734i \(-0.0777162\pi\)
−0.898709 + 0.438545i \(0.855494\pi\)
\(174\) −2.31239 + 4.00517i −0.175302 + 0.303632i
\(175\) 19.2292 2.31418i 1.45359 0.174935i
\(176\) 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 \(-0.0828598\pi\)
\(180\) −0.0997457 + 3.64196i −0.00743460 + 0.271456i
\(181\) 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
\(185\) −4.39866 + 12.8706i −0.323396 + 0.946264i
\(186\) −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
\(190\) 17.5145 + 0.479686i 1.27064 + 0.0348001i
\(191\) 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 −0.730366 0.683056i \(-0.760650\pi\)
0.956727 + 0.290987i \(0.0939837\pi\)
\(194\) −13.1560 11.0392i −0.944547 0.792569i
\(195\) 4.54843 1.51581i 0.325720 0.108549i
\(196\) 4.00237 6.93231i 0.285884 0.495165i
\(197\) 5.08518 + 13.9714i 0.362304 + 0.995422i 0.978213 + 0.207604i \(0.0665667\pi\)
−0.615909 + 0.787817i \(0.711211\pi\)
\(198\) −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 \(0.473445\pi\)
\(200\) −2.73326 + 4.18680i −0.193271 + 0.296051i
\(201\) −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
\(205\) 4.99182 + 6.29107i 0.348644 + 0.439388i
\(206\) −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
\(210\) 10.0310 1.48683i 0.692204 0.102601i
\(211\) −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
\(215\) −0.171647 + 6.26725i −0.0117062 + 0.427423i
\(216\) 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
\(220\) −6.98929 + 1.03598i −0.471218 + 0.0698454i
\(221\) −10.6754 −0.718102
\(222\) −2.11768 + 6.79924i −0.142129 + 0.456335i
\(223\) 10.3038i 0.689995i 0.938604 + 0.344998i \(0.112120\pi\)
−0.938604 + 0.344998i \(0.887880\pi\)
\(224\) 1.32485 + 3.63999i 0.0885201 + 0.243207i
\(225\) −5.94478 5.57035i −0.396319 0.371357i
\(226\) 8.89600 7.46463i 0.591753 0.496540i
\(227\) −2.36191 13.3951i −0.156766 0.889063i −0.957154 0.289580i \(-0.906484\pi\)
0.800388 0.599482i \(-0.204627\pi\)
\(228\) 9.17361 0.607537
\(229\) −2.76999 15.7094i −0.183046 1.03811i −0.928440 0.371482i \(-0.878850\pi\)
0.745394 0.666624i \(-0.232261\pi\)
\(230\) −0.0777724 + 0.0876932i −0.00512816 + 0.00578232i
\(231\) 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 0.274981 0.961450i \(-0.411328\pi\)
−0.695149 + 0.718865i \(0.744662\pi\)
\(234\) −2.80402 + 1.02058i −0.183304 + 0.0667174i
\(235\) 11.5894 + 21.4062i 0.756007 + 1.39639i
\(236\) 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 \(0.351573\pi\)
\(240\) −1.37052 + 2.23046i −0.0884664 + 0.143976i
\(241\) 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
\(245\) 5.65909 + 16.9810i 0.361546 + 1.08488i
\(246\) 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
\(250\) −2.94898 10.7844i −0.186510 0.682066i
\(251\) −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
\(255\) −7.26525 13.4193i −0.454967 0.840351i
\(256\) −0.939693 0.342020i −0.0587308 0.0213763i
\(257\) 19.5648 7.12102i 1.22042 0.444197i 0.350114 0.936707i \(-0.386143\pi\)
0.870307 + 0.492510i \(0.163921\pi\)
\(258\) 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 0.323660 0.946173i \(-0.395086\pi\)
−0.988002 + 0.154442i \(0.950642\pi\)
\(264\) −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 \(-0.530340\pi\)
\(270\) −9.06698 8.04122i −0.551799 0.489373i
\(271\) −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
\(275\) 8.63671 13.2297i 0.520813 0.797779i
\(276\) −0.0394474 + 0.0470116i −0.00237445 + 0.00282976i
\(277\) 1.09983 + 0.400305i 0.0660823 + 0.0240520i 0.374850 0.927086i \(-0.377694\pi\)
−0.308768 + 0.951138i \(0.599917\pi\)
\(278\) 14.4299 + 5.25204i 0.865446 + 0.314997i
\(279\) −1.97023 + 2.34802i −0.117954 + 0.140573i
\(280\) −8.05511 3.18417i −0.481385 0.190291i
\(281\) 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 −0.647604 0.761977i \(-0.724229\pi\)
0.637946 + 0.770081i \(0.279784\pi\)
\(284\) −12.4415 + 4.52834i −0.738269 + 0.268708i
\(285\) −13.6106 + 15.3469i −0.806225 + 0.909069i
\(286\) −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 −0.964267 0.264933i \(-0.914650\pi\)
0.908967 + 0.416868i \(0.136872\pi\)
\(294\) 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
\(300\) −1.69802 5.60206i −0.0980351 0.323435i
\(301\) −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
\(305\) −0.198411 + 0.157434i −0.0113610 + 0.00901467i
\(306\) 4.74880 + 8.22517i 0.271471 + 0.470201i
\(307\) 26.0567 + 15.0438i 1.48713 + 0.858596i 0.999892 0.0146715i \(-0.00467026\pi\)
0.487240 + 0.873268i \(0.338004\pi\)
\(308\) −4.18633 11.5018i −0.238538 0.655378i
\(309\) −1.82552 2.17557i −0.103850 0.123764i
\(310\) −3.99072 + 1.32995i −0.226658 + 0.0755360i
\(311\) 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 0.0516088 0.998667i \(-0.483565\pi\)
−0.974534 + 0.224242i \(0.928010\pi\)
\(314\) 4.24671 11.6678i 0.239656 0.658449i
\(315\) 7.38836 12.0243i 0.416287 0.677490i
\(316\) −3.73954 + 4.45661i −0.210366 + 0.250704i
\(317\) 12.0836 + 2.13067i 0.678683 + 0.119670i 0.502355 0.864661i \(-0.332467\pi\)
0.176328 + 0.984332i \(0.443578\pi\)
\(318\) 2.64246 14.9862i 0.148182 0.840382i
\(319\) −10.8100 + 6.24114i −0.605242 + 0.349437i
\(320\) 1.96637 1.06460i 0.109924 0.0595129i
\(321\) −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
\(325\) 7.32630 5.49322i 0.406390 0.304709i
\(326\) 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
\(330\) 4.33063 7.04793i 0.238393 0.387976i
\(331\) −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
\(335\) 1.51641 + 10.2306i 0.0828506 + 0.558958i
\(336\) −4.26151 1.55106i −0.232485 0.0846175i
\(337\) −16.6418 19.8330i −0.906538 1.08037i −0.996430 0.0844184i \(-0.973097\pi\)
0.0898925 0.995951i \(-0.471348\pi\)
\(338\) 1.67501 + 9.49945i 0.0911085 + 0.516702i
\(339\) 13.5958i 0.738423i
\(340\) −0.356846 + 13.0294i −0.0193527 + 0.706616i
\(341\) −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
\(345\) −0.0201202 0.135743i −0.00108324 0.00730815i
\(346\) 1.77074 + 2.11028i 0.0951953 + 0.113449i
\(347\) −8.20851 14.2176i −0.440656 0.763238i 0.557083 0.830457i \(-0.311921\pi\)
−0.997738 + 0.0672191i \(0.978587\pi\)
\(348\) −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 \(-0.133721\pi\)
\(350\) 17.2781 8.75140i 0.923551 0.467782i
\(351\) 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 0.342538 0.939504i \(-0.388713\pi\)
−0.865749 + 0.500478i \(0.833158\pi\)
\(354\) −2.49927 + 14.1741i −0.132835 + 0.753343i
\(355\) 10.8835 27.5324i 0.577638 1.46127i
\(356\) 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 \(0.00672945\pi\)
\(360\) 1.15189 + 3.45644i 0.0607102 + 0.182170i
\(361\) −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
\(365\) 10.4655 + 0.286627i 0.547787 + 0.0150027i
\(366\) −0.101587 + 0.0852419i −0.00531005 + 0.00445566i
\(367\) 0.440339 1.20982i 0.0229855 0.0631521i −0.927669 0.373403i \(-0.878191\pi\)
0.950655 + 0.310251i \(0.100413\pi\)
\(368\) 0.0492576 0.0179283i 0.00256773 0.000934576i
\(369\) 5.85187 0.304636
\(370\) 0.268604 + 13.5988i 0.0139641 + 0.706969i
\(371\) 50.3488 2.61398
\(372\) −2.06959 + 0.753270i −0.107303 + 0.0390552i
\(373\) 2.26014 6.20968i 0.117025 0.321525i −0.867326 0.497740i \(-0.834163\pi\)
0.984352 + 0.176215i \(0.0563855\pi\)
\(374\) −14.1098 + 11.8395i −0.729602 + 0.612209i
\(375\) 11.8912 + 5.47096i 0.614058 + 0.282519i
\(376\) 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 \(0.647205\pi\)
\(380\) 16.6223 5.53957i 0.852708 0.284174i
\(381\) 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 −0.280384 0.959888i \(-0.590462\pi\)
0.896617 + 0.442807i \(0.146017\pi\)
\(384\) 1.01390 0.585375i 0.0517403 0.0298723i
\(385\) 25.4530 + 10.0615i 1.29720 + 0.512783i
\(386\) 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 \(-0.0219572\pi\)
\(390\) 3.75569 2.98005i 0.190177 0.150901i
\(391\) −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
\(395\) −1.90736 12.8682i −0.0959699 0.647468i
\(396\) −2.57425 + 4.45873i −0.129361 + 0.224060i
\(397\) 7.99684 4.61698i 0.401350 0.231719i −0.285716 0.958314i \(-0.592232\pi\)
0.687066 + 0.726595i \(0.258898\pi\)
\(398\) −7.72739 + 9.20914i −0.387339 + 0.461613i
\(399\) −30.7741 17.7674i −1.54063 0.889484i
\(400\) −1.13646 + 4.86913i −0.0568228 + 0.243457i
\(401\) 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
\(405\) 3.22316 0.477748i 0.160160 0.0237395i
\(406\) −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 \(0.920677\pi\)
\(410\) 6.84245 + 4.20437i 0.337925 + 0.207639i
\(411\) 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
\(415\) 0.260835 + 0.231327i 0.0128039 + 0.0113554i
\(416\) 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 \(0.0690668\pi\)
\(420\) 8.91753 4.82796i 0.435131 0.235580i
\(421\) −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
\(425\) −21.2678 19.9283i −1.03164 0.966664i
\(426\) 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
\(430\) 1.98223 + 5.94799i 0.0955916 + 0.286838i
\(431\) −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 0.403062 0.915173i \(-0.367946\pi\)
−0.591032 + 0.806648i \(0.701279\pi\)
\(434\) −3.64351 6.31074i −0.174894 0.302925i
\(435\) −6.42790 8.10093i −0.308194 0.388410i
\(436\) 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 \(0.728667\pi\)
\(440\) −6.21346 + 3.36398i −0.296215 + 0.160371i
\(441\) 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 \(-0.935173\pi\)
0.979333 0.202255i \(-0.0648270\pi\)
\(444\) 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
\(455\) 11.8679 + 10.5253i 0.556377 + 0.493434i
\(456\) 8.62037 3.13756i 0.403686 0.146930i
\(457\) −1.93215 + 1.62126i −0.0903821 + 0.0758395i −0.686859 0.726791i \(-0.741011\pi\)
0.596477 + 0.802630i \(0.296567\pi\)
\(458\) −7.97586 13.8146i −0.372688 0.645514i
\(459\) −31.1125 5.48598i −1.45221 0.256064i
\(460\) −0.0430893 + 0.109004i −0.00200905 + 0.00508236i
\(461\) −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 0.480956 0.876745i \(-0.340290\pi\)
−0.195127 + 0.980778i \(0.562512\pi\)
\(464\) 2.53919 3.02608i 0.117879 0.140482i
\(465\) 1.81043 4.57990i 0.0839566 0.212388i
\(466\) −7.29327 1.28600i −0.337854 0.0595728i
\(467\) 13.1213 + 22.7268i 0.607183 + 1.05167i 0.991702 + 0.128555i \(0.0410337\pi\)
−0.384520 + 0.923117i \(0.625633\pi\)
\(468\) −2.28586 + 1.91806i −0.105664 + 0.0886624i
\(469\) −16.8359 + 6.12776i −0.777408 + 0.282954i
\(470\) 18.2118 + 16.1515i 0.840048 + 0.745012i
\(471\) 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
\(485\) 33.7705 18.2834i 1.53344 0.830205i
\(486\) −14.3323 + 2.52717i −0.650127 + 0.114635i
\(487\) 10.2551 0.464703 0.232351 0.972632i \(-0.425358\pi\)
0.232351 + 0.972632i \(0.425358\pi\)
\(488\) 0.111551 0.0196694i 0.00504967 0.000890394i
\(489\) −18.3721 10.6072i −0.830817 0.479673i
\(490\) 11.1256 + 14.0214i 0.502605 + 0.633422i
\(491\) 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
\(495\) −3.63982 10.9219i −0.163598 0.490901i
\(496\) 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 \(-0.0681439\pi\)
\(500\) −6.45962 9.12542i −0.288883 0.408101i
\(501\) −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 −0.977499 0.210941i \(-0.932347\pi\)
0.990694 + 0.136105i \(0.0434583\pi\)
\(504\) −5.46586 + 3.15571i −0.243469 + 0.140567i
\(505\) −16.6047 + 8.98981i −0.738899 + 0.400041i
\(506\) −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 \(0.965534\pi\)
\(510\) −11.4168 10.1252i −0.505543 0.448351i
\(511\) 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
\(515\) −4.62153 2.83972i −0.203649 0.125133i
\(516\) 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
\(520\) −4.05086 + 0.600432i −0.177642 + 0.0263307i
\(521\) 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 \(-0.993610\pi\)
0.932638 0.360813i \(-0.117501\pi\)
\(524\) 1.98462i 0.0866985i
\(525\) −5.15383 + 22.0816i −0.224932 + 0.963719i
\(526\) −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
\(530\) −4.26145 28.7502i −0.185106 1.24883i
\(531\) 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
\(535\) −4.71777 + 3.74344i −0.203967 + 0.161843i
\(536\) 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
\(540\) −11.2704 4.45519i −0.485002 0.191721i
\(541\) 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
\(545\) −41.8238 + 13.9382i −1.79154 + 0.597048i
\(546\) 6.36229 + 5.33860i 0.272281 + 0.228471i
\(547\) 21.8895 37.9137i 0.935927 1.62107i 0.162953 0.986634i \(-0.447898\pi\)
0.772973 0.634439i \(-0.218769\pi\)
\(548\) −12.5600 + 2.21467i −0.536536 + 0.0946058i
\(549\) 0.184559i 0.00787678i
\(550\) 3.59103 15.3858i 0.153122 0.656051i
\(551\) 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
\(555\) −12.3982 9.99280i −0.526273 0.424171i
\(556\) 15.3559 0.651237
\(557\) 7.02487 2.55684i 0.297653 0.108337i −0.188877 0.982001i \(-0.560485\pi\)
0.486530 + 0.873664i \(0.338262\pi\)
\(558\) −1.04834 + 2.88028i −0.0443796 + 0.121932i
\(559\) −3.93360 + 3.30068i −0.166374 + 0.139604i
\(560\) −8.65838 0.237135i −0.365883 0.0100208i
\(561\) 21.5641i 0.910437i
\(562\) 28.0576 4.94731i 1.18354 0.208690i
\(563\) −7.21335 + 12.4939i −0.304006 + 0.526555i −0.977040 0.213058i \(-0.931658\pi\)
0.673033 + 0.739612i \(0.264991\pi\)
\(564\) 9.76319 + 8.19229i 0.411105 + 0.344958i
\(565\) 8.20995 + 24.6352i 0.345395 + 1.03641i
\(566\) −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 \(0.508814\pi\)
\(570\) −7.54089 + 19.0764i −0.315853 + 0.799024i
\(571\) 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
\(575\) −0.118427 0.233813i −0.00493874 0.00975066i
\(576\) 0.282933 1.60459i 0.0117889 0.0668580i
\(577\) 1.38672 7.86446i 0.0577297 0.327402i −0.942242 0.334933i \(-0.891286\pi\)
0.999972 + 0.00753148i \(0.00239737\pi\)
\(578\) 8.48913 + 14.7036i 0.353101 + 0.611590i
\(579\) 4.73306 + 5.64064i 0.196699 + 0.234417i
\(580\) 1.29512 + 8.73761i 0.0537769 + 0.362810i
\(581\) −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
\(585\) 0.182674 6.66987i 0.00755262 0.275765i
\(586\) 2.76761i 0.114329i
\(587\) 6.01674 + 34.1226i 0.248337 + 1.40839i 0.812612 + 0.582804i \(0.198045\pi\)
−0.564275 + 0.825587i \(0.690844\pi\)
\(588\) 6.02391 + 7.17902i 0.248422 + 0.296058i
\(589\) 13.8515 + 5.04154i 0.570742 + 0.207733i
\(590\) 4.03052 + 27.1922i 0.165934 + 1.11949i
\(591\) −17.4068 −0.716019
\(592\) 2.78982 5.40527i 0.114661 0.222155i
\(593\) 31.3108i 1.28578i 0.765958 + 0.642890i \(0.222265\pi\)
−0.765958 + 0.642890i \(0.777735\pi\)
\(594\) −5.85737 16.0930i −0.240331 0.660303i
\(595\) 26.4323 43.0175i 1.08362 1.76355i
\(596\) 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 \(0.810071\pi\)
\(600\) −3.51163 4.68346i −0.143362 0.191201i
\(601\) −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
\(605\) −1.99650 + 1.08091i −0.0811693 + 0.0439452i
\(606\) −8.56168 + 4.94309i −0.347795 + 0.200799i
\(607\) −0.528719 + 2.99851i −0.0214600 + 0.121706i −0.993656 0.112463i \(-0.964126\pi\)
0.972196 + 0.234169i \(0.0752370\pi\)
\(608\) −7.71663 1.36065i −0.312951 0.0551817i
\(609\) 11.5152 13.7233i 0.466621 0.556097i
\(610\) −0.132600 + 0.215800i −0.00536880 + 0.00873751i
\(611\) −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 0.315704 0.948858i \(-0.397759\pi\)
−0.0278634 + 0.999612i \(0.508870\pi\)
\(614\) 29.6306 + 5.22467i 1.19579 + 0.210850i
\(615\) −8.91991 + 2.97265i −0.359686 + 0.119869i
\(616\) −7.86772 9.37638i −0.316999 0.377785i
\(617\) 4.63330 + 12.7299i 0.186530 + 0.512486i 0.997345 0.0728155i \(-0.0231984\pi\)
−0.810816 + 0.585301i \(0.800976\pi\)
\(618\) −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 \(0.597940\pi\)
\(620\) −3.29518 + 2.61465i −0.132338 + 0.105007i
\(621\) −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
\(625\) 24.8502 + 2.73263i 0.994008 + 0.109305i
\(626\) −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
\(640\) 1.48367 1.67294i 0.0586474 0.0661286i
\(641\) −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 \(0.0411614\pi\)
−0.384149 + 0.923271i \(0.625505\pi\)
\(644\) −0.199964 0.0352591i −0.00787970 0.00138940i
\(645\) −6.82615 2.69837i −0.268779 0.106248i
\(646\) 29.3592 34.9890i 1.15512 1.37662i
\(647\) −15.3762 5.59648i −0.604501 0.220020i 0.0215943 0.999767i \(-0.493126\pi\)
−0.626096 + 0.779746i \(0.715348\pi\)
\(648\) −1.36931 0.498389i −0.0537917 0.0195786i
\(649\) −24.9697 + 29.7578i −0.980147 + 1.16809i
\(650\) 5.00568 7.66768i 0.196339 0.300751i
\(651\) 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 −0.789083 0.614287i \(-0.789444\pi\)
0.467931 + 0.883765i \(0.344999\pi\)
\(654\) −21.6899 + 7.89448i −0.848142 + 0.308699i
\(655\) 3.32014 + 2.94453i 0.129729 + 0.115052i
\(656\) −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
\(670\) 4.92404 + 9.09498i 0.190232 + 0.351370i
\(671\) −0.352485 + 0.0621526i −0.0136075 + 0.00239937i
\(672\) −4.53501 −0.174942
\(673\) −27.5521 + 4.85817i −1.06205 + 0.187269i −0.677268 0.735737i \(-0.736836\pi\)
−0.384787 + 0.923006i \(0.625725\pi\)
\(674\) −22.4215 12.9450i −0.863643 0.498624i
\(675\) 24.1749 12.2447i 0.930492 0.471297i
\(676\) 4.82300 + 8.35368i 0.185500 + 0.321295i
\(677\) −26.6112 15.3640i −1.02275 0.590487i −0.107853 0.994167i \(-0.534398\pi\)
−0.914900 + 0.403680i \(0.867731\pi\)
\(678\) 4.65004 + 12.7759i 0.178584 + 0.490654i
\(679\) 42.7614 + 50.9611i 1.64103 + 1.95571i
\(680\) 4.12097 + 12.3656i 0.158032 + 0.474200i
\(681\) 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 0.674452 0.738318i \(-0.264380\pi\)
−0.609984 + 0.792414i \(0.708824\pi\)
\(684\) 4.36658 11.9971i 0.166960 0.458720i
\(685\) 14.9299 24.2979i 0.570444 0.928375i
\(686\) −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
\(690\) −0.0653336 0.120675i −0.00248721 0.00459402i
\(691\) 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
\(695\) −22.7832 + 25.6895i −0.864217 + 0.974458i
\(696\) 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
\(700\) 13.2429 14.1331i 0.500535 0.534180i
\(701\) 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
\(705\) −28.1906 + 4.17850i −1.06172 + 0.157371i
\(706\) −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 \(-0.0151743\pi\)
\(710\) 0.810528 29.5944i 0.0304186 1.11066i
\(711\) −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
\(715\) 12.8001 1.89728i 0.478698 0.0709542i
\(716\) −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 \(0.0690479\pi\)
\(720\) 2.26460 + 2.85402i 0.0843966 + 0.106363i
\(721\) 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
\(725\) −16.5390 10.7971i −0.614243 0.400995i
\(726\) −1.02943 + 0.594343i −0.0382058 + 0.0220581i
\(727\) −26.7832 + 22.4737i −0.993332 + 0.833505i −0.986047 0.166469i \(-0.946764\pi\)
−0.00728565 + 0.999973i \(0.502319\pi\)
\(728\) −2.42632 6.66625i −0.0899253 0.247068i
\(729\) 10.7050 18.5416i 0.396481 0.686725i
\(730\) 9.93234 3.31005i 0.367612 0.122511i
\(731\) 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 0.245434 0.969413i \(-0.421070\pi\)
0.562191 + 0.827007i \(0.309958\pi\)
\(734\) 1.28746i 0.0475212i
\(735\) −20.9476 0.573709i −0.772662 0.0211616i
\(736\) 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 \(0.270113\pi\)
\(740\) 4.90348 + 12.6868i 0.180255 + 0.466378i
\(741\) −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 \(0.282621\pi\)
−0.982051 + 0.188613i \(0.939601\pi\)
\(744\) −1.68715 + 1.41568i −0.0618538 + 0.0519015i
\(745\) −0.509159 + 18.5907i −0.0186542 + 0.681110i
\(746\) 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
\(750\) 13.0452 + 1.07399i 0.476345 + 0.0392167i
\(751\) −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
\(755\) 3.84745 9.73303i 0.140023 0.354221i
\(756\) 3.64559 20.6752i 0.132589 0.751949i
\(757\) −26.3574 22.1165i −0.957977 0.803838i 0.0226462 0.999744i \(-0.492791\pi\)
−0.980623 + 0.195906i \(0.937235\pi\)
\(758\) 8.54313 + 3.10945i 0.310301 + 0.112940i
\(759\) 0.0663238 0.182223i 0.00240740 0.00661428i
\(760\) 13.7252 10.8907i 0.497867 0.395046i
\(761\) −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
\(765\) −21.0078 + 3.11384i −0.759537 + 0.112581i
\(766\) 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 \(0.782191\pi\)
\(770\) 27.3592 + 0.749311i 0.985957 + 0.0270033i
\(771\) 24.3755i 0.877863i
\(772\) −1.09215