Properties

Label 190.2.k.d.161.1
Level $190$
Weight $2$
Character 190.161
Analytic conductor $1.517$
Analytic rank $0$
Dimension $18$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 190 = 2 \cdot 5 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 190.k (of order \(9\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.51715763840\)
Analytic rank: \(0\)
Dimension: \(18\)
Relative dimension: \(3\) over \(\Q(\zeta_{9})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{18} + \cdots)\)
Defining polynomial: \(x^{18} + 24 x^{16} - 12 x^{15} + 393 x^{14} - 222 x^{13} + 3518 x^{12} - 2478 x^{11} + 22809 x^{10} - 12862 x^{9} + 77397 x^{8} - 24822 x^{7} + 178501 x^{6} - 39408 x^{5} + 132588 x^{4} + 45584 x^{3} + 50640 x^{2} + 1824 x + 64\)
Coefficient ring: \(\Z[a_1, a_2, a_3]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label 161.1
Root \(1.15990 + 2.00901i\) of defining polynomial
Character \(\chi\) \(=\) 190.161
Dual form 190.2.k.d.131.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.173648 - 0.984808i) q^{2} +(-1.77707 + 1.49114i) q^{3} +(-0.939693 + 0.342020i) q^{4} +(-0.939693 - 0.342020i) q^{5} +(1.77707 + 1.49114i) q^{6} +(2.45837 - 4.25802i) q^{7} +(0.500000 + 0.866025i) q^{8} +(0.413538 - 2.34529i) q^{9} +O(q^{10})\) \(q+(-0.173648 - 0.984808i) q^{2} +(-1.77707 + 1.49114i) q^{3} +(-0.939693 + 0.342020i) q^{4} +(-0.939693 - 0.342020i) q^{5} +(1.77707 + 1.49114i) q^{6} +(2.45837 - 4.25802i) q^{7} +(0.500000 + 0.866025i) q^{8} +(0.413538 - 2.34529i) q^{9} +(-0.173648 + 0.984808i) q^{10} +(-1.42329 - 2.46520i) q^{11} +(1.15990 - 2.00901i) q^{12} +(-5.02662 - 4.21784i) q^{13} +(-4.62023 - 1.68163i) q^{14} +(2.17990 - 0.793418i) q^{15} +(0.766044 - 0.642788i) q^{16} +(-0.380503 - 2.15794i) q^{17} -2.38147 q^{18} +(4.17271 + 1.26036i) q^{19} +1.00000 q^{20} +(1.98061 + 11.2326i) q^{21} +(-2.18060 + 1.82974i) q^{22} +(2.49728 - 0.908934i) q^{23} +(-2.17990 - 0.793418i) q^{24} +(0.766044 + 0.642788i) q^{25} +(-3.28089 + 5.68268i) q^{26} +(-0.717435 - 1.24263i) q^{27} +(-0.853783 + 4.84205i) q^{28} +(-1.32004 + 7.48630i) q^{29} +(-1.15990 - 2.00901i) q^{30} +(2.70769 - 4.68986i) q^{31} +(-0.766044 - 0.642788i) q^{32} +(6.20524 + 2.25852i) q^{33} +(-2.05908 + 0.749444i) q^{34} +(-3.76644 + 3.16042i) q^{35} +(0.413538 + 2.34529i) q^{36} -2.06252 q^{37} +(0.516628 - 4.32817i) q^{38} +15.2220 q^{39} +(-0.173648 - 0.984808i) q^{40} +(-7.16810 + 6.01475i) q^{41} +(10.7180 - 3.90103i) q^{42} +(-1.62951 - 0.593093i) q^{43} +(2.18060 + 1.82974i) q^{44} +(-1.19073 + 2.06241i) q^{45} +(-1.32877 - 2.30150i) q^{46} +(-0.521812 + 2.95934i) q^{47} +(-0.402829 + 2.28456i) q^{48} +(-8.58718 - 14.8734i) q^{49} +(0.500000 - 0.866025i) q^{50} +(3.89396 + 3.26742i) q^{51} +(6.16606 + 2.24426i) q^{52} +(3.96752 - 1.44406i) q^{53} +(-1.09917 + 0.922316i) q^{54} +(0.494302 + 2.80333i) q^{55} +4.91674 q^{56} +(-9.29456 + 3.98234i) q^{57} +7.60179 q^{58} +(-0.167500 - 0.949937i) q^{59} +(-1.77707 + 1.49114i) q^{60} +(7.04727 - 2.56500i) q^{61} +(-5.08880 - 1.85217i) q^{62} +(-8.96967 - 7.52644i) q^{63} +(-0.500000 + 0.866025i) q^{64} +(3.28089 + 5.68268i) q^{65} +(1.14668 - 6.50315i) q^{66} +(0.333326 - 1.89039i) q^{67} +(1.09561 + 1.89766i) q^{68} +(-3.08249 + 5.33902i) q^{69} +(3.76644 + 3.16042i) q^{70} +(5.79354 + 2.10868i) q^{71} +(2.23785 - 0.814510i) q^{72} +(-3.04659 + 2.55639i) q^{73} +(0.358153 + 2.03119i) q^{74} -2.31980 q^{75} +(-4.35213 + 0.242800i) q^{76} -13.9959 q^{77} +(-2.64328 - 14.9908i) q^{78} +(11.7380 - 9.84938i) q^{79} +(-0.939693 + 0.342020i) q^{80} +(9.84141 + 3.58198i) q^{81} +(7.16810 + 6.01475i) q^{82} +(0.656032 - 1.13628i) q^{83} +(-5.70293 - 9.87776i) q^{84} +(-0.380503 + 2.15794i) q^{85} +(-0.301121 + 1.70774i) q^{86} +(-8.81731 - 15.2720i) q^{87} +(1.42329 - 2.46520i) q^{88} +(-8.25512 - 6.92687i) q^{89} +(2.23785 + 0.814510i) q^{90} +(-30.3170 + 11.0345i) q^{91} +(-2.03580 + 1.70824i) q^{92} +(2.18147 + 12.3718i) q^{93} +3.00499 q^{94} +(-3.49000 - 2.61150i) q^{95} +2.31980 q^{96} +(0.356724 + 2.02308i) q^{97} +(-13.1563 + 11.0395i) q^{98} +(-6.37020 + 2.31856i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 18q + 9q^{8} - 18q^{9} + O(q^{10}) \) \( 18q + 9q^{8} - 18q^{9} - 12q^{11} - 6q^{13} + 6q^{14} - 42q^{18} + 18q^{20} + 12q^{21} - 3q^{22} + 9q^{23} - 9q^{26} - 18q^{27} + 3q^{28} - 6q^{29} - 6q^{31} + 66q^{33} + 18q^{34} + 3q^{35} - 18q^{36} - 12q^{37} - 6q^{38} + 48q^{39} - 21q^{41} + 42q^{42} + 18q^{43} + 3q^{44} - 21q^{45} + 18q^{46} - 54q^{47} - 39q^{49} + 9q^{50} + 42q^{51} + 12q^{52} - 24q^{53} - 54q^{54} - 6q^{55} - 18q^{57} - 30q^{59} + 48q^{61} - 30q^{62} - 57q^{63} - 9q^{64} + 9q^{65} + 24q^{66} - 6q^{67} - 6q^{68} - 30q^{69} - 3q^{70} + 30q^{71} + 6q^{73} - 3q^{74} - 21q^{76} + 30q^{77} - 24q^{78} + 30q^{79} + 18q^{81} + 21q^{82} + 6q^{83} + 6q^{84} + 36q^{86} + 24q^{87} + 12q^{88} + 30q^{89} - 60q^{91} - 18q^{92} - 12q^{93} + 6q^{94} - 12q^{95} - 12q^{97} - 18q^{98} + 171q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/190\mathbb{Z}\right)^\times\).

\(n\) \(21\) \(77\)
\(\chi(n)\) \(e\left(\frac{4}{9}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.173648 0.984808i −0.122788 0.696364i
\(3\) −1.77707 + 1.49114i −1.02599 + 0.860909i −0.990369 0.138456i \(-0.955786\pi\)
−0.0356229 + 0.999365i \(0.511342\pi\)
\(4\) −0.939693 + 0.342020i −0.469846 + 0.171010i
\(5\) −0.939693 0.342020i −0.420243 0.152956i
\(6\) 1.77707 + 1.49114i 0.725486 + 0.608755i
\(7\) 2.45837 4.25802i 0.929177 1.60938i 0.144475 0.989508i \(-0.453851\pi\)
0.784702 0.619873i \(-0.212816\pi\)
\(8\) 0.500000 + 0.866025i 0.176777 + 0.306186i
\(9\) 0.413538 2.34529i 0.137846 0.781763i
\(10\) −0.173648 + 0.984808i −0.0549124 + 0.311424i
\(11\) −1.42329 2.46520i −0.429137 0.743287i 0.567660 0.823263i \(-0.307849\pi\)
−0.996797 + 0.0799763i \(0.974516\pi\)
\(12\) 1.15990 2.00901i 0.334834 0.579950i
\(13\) −5.02662 4.21784i −1.39413 1.16982i −0.963634 0.267227i \(-0.913893\pi\)
−0.430500 0.902590i \(-0.641663\pi\)
\(14\) −4.62023 1.68163i −1.23481 0.449433i
\(15\) 2.17990 0.793418i 0.562847 0.204860i
\(16\) 0.766044 0.642788i 0.191511 0.160697i
\(17\) −0.380503 2.15794i −0.0922855 0.523377i −0.995545 0.0942832i \(-0.969944\pi\)
0.903260 0.429094i \(-0.141167\pi\)
\(18\) −2.38147 −0.561317
\(19\) 4.17271 + 1.26036i 0.957285 + 0.289146i
\(20\) 1.00000 0.223607
\(21\) 1.98061 + 11.2326i 0.432204 + 2.45115i
\(22\) −2.18060 + 1.82974i −0.464906 + 0.390102i
\(23\) 2.49728 0.908934i 0.520718 0.189526i −0.0682711 0.997667i \(-0.521748\pi\)
0.588989 + 0.808141i \(0.299526\pi\)
\(24\) −2.17990 0.793418i −0.444970 0.161956i
\(25\) 0.766044 + 0.642788i 0.153209 + 0.128558i
\(26\) −3.28089 + 5.68268i −0.643436 + 1.11446i
\(27\) −0.717435 1.24263i −0.138070 0.239145i
\(28\) −0.853783 + 4.84205i −0.161350 + 0.915061i
\(29\) −1.32004 + 7.48630i −0.245125 + 1.39017i 0.575079 + 0.818098i \(0.304971\pi\)
−0.820203 + 0.572072i \(0.806140\pi\)
\(30\) −1.15990 2.00901i −0.211768 0.366792i
\(31\) 2.70769 4.68986i 0.486316 0.842324i −0.513560 0.858054i \(-0.671674\pi\)
0.999876 + 0.0157295i \(0.00500705\pi\)
\(32\) −0.766044 0.642788i −0.135419 0.113630i
\(33\) 6.20524 + 2.25852i 1.08019 + 0.393158i
\(34\) −2.05908 + 0.749444i −0.353130 + 0.128529i
\(35\) −3.76644 + 3.16042i −0.636645 + 0.534209i
\(36\) 0.413538 + 2.34529i 0.0689229 + 0.390881i
\(37\) −2.06252 −0.339076 −0.169538 0.985524i \(-0.554228\pi\)
−0.169538 + 0.985524i \(0.554228\pi\)
\(38\) 0.516628 4.32817i 0.0838081 0.702123i
\(39\) 15.2220 2.43748
\(40\) −0.173648 0.984808i −0.0274562 0.155712i
\(41\) −7.16810 + 6.01475i −1.11947 + 0.939346i −0.998578 0.0533193i \(-0.983020\pi\)
−0.120892 + 0.992666i \(0.538575\pi\)
\(42\) 10.7180 3.90103i 1.65382 0.601942i
\(43\) −1.62951 0.593093i −0.248498 0.0904459i 0.214768 0.976665i \(-0.431100\pi\)
−0.463266 + 0.886219i \(0.653323\pi\)
\(44\) 2.18060 + 1.82974i 0.328738 + 0.275844i
\(45\) −1.19073 + 2.06241i −0.177504 + 0.307446i
\(46\) −1.32877 2.30150i −0.195917 0.339338i
\(47\) −0.521812 + 2.95934i −0.0761140 + 0.431664i 0.922809 + 0.385259i \(0.125888\pi\)
−0.998923 + 0.0464056i \(0.985223\pi\)
\(48\) −0.402829 + 2.28456i −0.0581433 + 0.329747i
\(49\) −8.58718 14.8734i −1.22674 2.12478i
\(50\) 0.500000 0.866025i 0.0707107 0.122474i
\(51\) 3.89396 + 3.26742i 0.545264 + 0.457531i
\(52\) 6.16606 + 2.24426i 0.855079 + 0.311223i
\(53\) 3.96752 1.44406i 0.544981 0.198357i −0.0548340 0.998495i \(-0.517463\pi\)
0.599815 + 0.800139i \(0.295241\pi\)
\(54\) −1.09917 + 0.922316i −0.149579 + 0.125511i
\(55\) 0.494302 + 2.80333i 0.0666517 + 0.378000i
\(56\) 4.91674 0.657027
\(57\) −9.29456 + 3.98234i −1.23109 + 0.527474i
\(58\) 7.60179 0.998163
\(59\) −0.167500 0.949937i −0.0218066 0.123671i 0.971961 0.235141i \(-0.0755553\pi\)
−0.993768 + 0.111470i \(0.964444\pi\)
\(60\) −1.77707 + 1.49114i −0.229419 + 0.192505i
\(61\) 7.04727 2.56500i 0.902311 0.328414i 0.151132 0.988514i \(-0.451708\pi\)
0.751178 + 0.660099i \(0.229486\pi\)
\(62\) −5.08880 1.85217i −0.646278 0.235226i
\(63\) −8.96967 7.52644i −1.13007 0.948243i
\(64\) −0.500000 + 0.866025i −0.0625000 + 0.108253i
\(65\) 3.28089 + 5.68268i 0.406945 + 0.704849i
\(66\) 1.14668 6.50315i 0.141147 0.800483i
\(67\) 0.333326 1.89039i 0.0407223 0.230948i −0.957653 0.287924i \(-0.907035\pi\)
0.998376 + 0.0569765i \(0.0181460\pi\)
\(68\) 1.09561 + 1.89766i 0.132863 + 0.230125i
\(69\) −3.08249 + 5.33902i −0.371088 + 0.642743i
\(70\) 3.76644 + 3.16042i 0.450176 + 0.377743i
\(71\) 5.79354 + 2.10868i 0.687567 + 0.250254i 0.662093 0.749422i \(-0.269668\pi\)
0.0254738 + 0.999675i \(0.491891\pi\)
\(72\) 2.23785 0.814510i 0.263733 0.0959909i
\(73\) −3.04659 + 2.55639i −0.356576 + 0.299203i −0.803424 0.595407i \(-0.796991\pi\)
0.446848 + 0.894610i \(0.352546\pi\)
\(74\) 0.358153 + 2.03119i 0.0416344 + 0.236121i
\(75\) −2.31980 −0.267867
\(76\) −4.35213 + 0.242800i −0.499224 + 0.0278511i
\(77\) −13.9959 −1.59498
\(78\) −2.64328 14.9908i −0.299292 1.69737i
\(79\) 11.7380 9.84938i 1.32063 1.10814i 0.334461 0.942409i \(-0.391446\pi\)
0.986171 0.165732i \(-0.0529988\pi\)
\(80\) −0.939693 + 0.342020i −0.105061 + 0.0382390i
\(81\) 9.84141 + 3.58198i 1.09349 + 0.397998i
\(82\) 7.16810 + 6.01475i 0.791584 + 0.664218i
\(83\) 0.656032 1.13628i 0.0720089 0.124723i −0.827773 0.561064i \(-0.810392\pi\)
0.899782 + 0.436340i \(0.143726\pi\)
\(84\) −5.70293 9.87776i −0.622240 1.07775i
\(85\) −0.380503 + 2.15794i −0.0412713 + 0.234061i
\(86\) −0.301121 + 1.70774i −0.0324708 + 0.184151i
\(87\) −8.81731 15.2720i −0.945315 1.63733i
\(88\) 1.42329 2.46520i 0.151723 0.262792i
\(89\) −8.25512 6.92687i −0.875041 0.734247i 0.0901123 0.995932i \(-0.471277\pi\)
−0.965153 + 0.261685i \(0.915722\pi\)
\(90\) 2.23785 + 0.814510i 0.235890 + 0.0858569i
\(91\) −30.3170 + 11.0345i −3.17808 + 1.15673i
\(92\) −2.03580 + 1.70824i −0.212247 + 0.178096i
\(93\) 2.18147 + 12.3718i 0.226208 + 1.28289i
\(94\) 3.00499 0.309941
\(95\) −3.49000 2.61150i −0.358066 0.267934i
\(96\) 2.31980 0.236764
\(97\) 0.356724 + 2.02308i 0.0362198 + 0.205413i 0.997547 0.0699948i \(-0.0222983\pi\)
−0.961328 + 0.275408i \(0.911187\pi\)
\(98\) −13.1563 + 11.0395i −1.32899 + 1.11515i
\(99\) −6.37020 + 2.31856i −0.640229 + 0.233024i
\(100\) −0.939693 0.342020i −0.0939693 0.0342020i
\(101\) −3.83762 3.22015i −0.381857 0.320416i 0.431574 0.902078i \(-0.357959\pi\)
−0.813431 + 0.581661i \(0.802403\pi\)
\(102\) 2.54161 4.40219i 0.251656 0.435882i
\(103\) 4.51744 + 7.82444i 0.445117 + 0.770965i 0.998060 0.0622537i \(-0.0198288\pi\)
−0.552943 + 0.833219i \(0.686495\pi\)
\(104\) 1.13944 6.46210i 0.111732 0.633661i
\(105\) 1.98061 11.2326i 0.193287 1.09619i
\(106\) −2.11108 3.65649i −0.205046 0.355150i
\(107\) −2.98391 + 5.16829i −0.288466 + 0.499637i −0.973444 0.228926i \(-0.926478\pi\)
0.684978 + 0.728564i \(0.259812\pi\)
\(108\) 1.09917 + 0.922316i 0.105768 + 0.0887499i
\(109\) 14.8753 + 5.41417i 1.42480 + 0.518583i 0.935435 0.353499i \(-0.115008\pi\)
0.489360 + 0.872082i \(0.337230\pi\)
\(110\) 2.67490 0.973585i 0.255042 0.0928277i
\(111\) 3.66524 3.07550i 0.347889 0.291914i
\(112\) −0.853783 4.84205i −0.0806750 0.457530i
\(113\) 18.2051 1.71259 0.856296 0.516485i \(-0.172760\pi\)
0.856296 + 0.516485i \(0.172760\pi\)
\(114\) 5.53582 + 8.46183i 0.518477 + 0.792523i
\(115\) −2.65755 −0.247817
\(116\) −1.32004 7.48630i −0.122562 0.695085i
\(117\) −11.9707 + 10.0446i −1.10670 + 0.928628i
\(118\) −0.906420 + 0.329910i −0.0834427 + 0.0303707i
\(119\) −10.1240 3.68482i −0.928063 0.337787i
\(120\) 1.77707 + 1.49114i 0.162223 + 0.136122i
\(121\) 1.44851 2.50890i 0.131683 0.228082i
\(122\) −3.74977 6.49480i −0.339489 0.588012i
\(123\) 3.76939 21.3773i 0.339874 1.92752i
\(124\) −0.940372 + 5.33311i −0.0844479 + 0.478928i
\(125\) −0.500000 0.866025i −0.0447214 0.0774597i
\(126\) −5.85453 + 10.1404i −0.521563 + 0.903374i
\(127\) 5.85989 + 4.91703i 0.519981 + 0.436316i 0.864625 0.502418i \(-0.167556\pi\)
−0.344644 + 0.938733i \(0.612000\pi\)
\(128\) 0.939693 + 0.342020i 0.0830579 + 0.0302306i
\(129\) 3.78014 1.37586i 0.332823 0.121137i
\(130\) 5.02662 4.21784i 0.440864 0.369929i
\(131\) −2.31209 13.1125i −0.202008 1.14564i −0.902079 0.431571i \(-0.857960\pi\)
0.700071 0.714073i \(-0.253152\pi\)
\(132\) −6.60347 −0.574759
\(133\) 15.6247 14.6691i 1.35483 1.27197i
\(134\) −1.91955 −0.165824
\(135\) 0.249162 + 1.41307i 0.0214445 + 0.121618i
\(136\) 1.67858 1.40849i 0.143937 0.120777i
\(137\) 6.79047 2.47153i 0.580149 0.211157i −0.0352423 0.999379i \(-0.511220\pi\)
0.615391 + 0.788222i \(0.288998\pi\)
\(138\) 5.79318 + 2.10854i 0.493148 + 0.179491i
\(139\) −1.84752 1.55026i −0.156705 0.131491i 0.561064 0.827772i \(-0.310392\pi\)
−0.717769 + 0.696281i \(0.754837\pi\)
\(140\) 2.45837 4.25802i 0.207770 0.359869i
\(141\) −3.48549 6.03705i −0.293531 0.508411i
\(142\) 1.07060 6.07169i 0.0898430 0.509525i
\(143\) −3.24351 + 18.3948i −0.271236 + 1.53825i
\(144\) −1.19073 2.06241i −0.0992279 0.171868i
\(145\) 3.80089 6.58334i 0.315647 0.546717i
\(146\) 3.04659 + 2.55639i 0.252137 + 0.211568i
\(147\) 37.4384 + 13.6264i 3.08786 + 1.12389i
\(148\) 1.93814 0.705424i 0.159314 0.0579855i
\(149\) −5.34602 + 4.48584i −0.437963 + 0.367495i −0.834946 0.550331i \(-0.814501\pi\)
0.396983 + 0.917826i \(0.370057\pi\)
\(150\) 0.402829 + 2.28456i 0.0328908 + 0.186533i
\(151\) −5.69362 −0.463340 −0.231670 0.972794i \(-0.574419\pi\)
−0.231670 + 0.972794i \(0.574419\pi\)
\(152\) 0.994851 + 4.24385i 0.0806931 + 0.344222i
\(153\) −5.21834 −0.421878
\(154\) 2.43036 + 13.7832i 0.195844 + 1.11068i
\(155\) −4.14843 + 3.48094i −0.333210 + 0.279596i
\(156\) −14.3040 + 5.20624i −1.14524 + 0.416833i
\(157\) 4.99337 + 1.81744i 0.398514 + 0.145047i 0.533500 0.845800i \(-0.320877\pi\)
−0.134985 + 0.990848i \(0.543099\pi\)
\(158\) −11.7380 9.84938i −0.933828 0.783575i
\(159\) −4.89727 + 8.48232i −0.388379 + 0.672692i
\(160\) 0.500000 + 0.866025i 0.0395285 + 0.0684653i
\(161\) 2.26897 12.8680i 0.178820 1.01414i
\(162\) 1.81862 10.3139i 0.142884 0.810337i
\(163\) 2.23679 + 3.87424i 0.175199 + 0.303454i 0.940230 0.340540i \(-0.110610\pi\)
−0.765031 + 0.643993i \(0.777276\pi\)
\(164\) 4.67865 8.10365i 0.365341 0.632789i
\(165\) −5.05856 4.24463i −0.393808 0.330444i
\(166\) −1.23294 0.448753i −0.0956945 0.0348300i
\(167\) −3.42872 + 1.24795i −0.265322 + 0.0965694i −0.471256 0.881997i \(-0.656199\pi\)
0.205934 + 0.978566i \(0.433977\pi\)
\(168\) −8.73739 + 7.33154i −0.674104 + 0.565641i
\(169\) 5.21936 + 29.6004i 0.401489 + 2.27696i
\(170\) 2.19123 0.168060
\(171\) 4.68148 9.26500i 0.358002 0.708512i
\(172\) 1.73409 0.132223
\(173\) −0.204264 1.15844i −0.0155299 0.0880746i 0.976058 0.217512i \(-0.0697941\pi\)
−0.991588 + 0.129437i \(0.958683\pi\)
\(174\) −13.5089 + 11.3353i −1.02411 + 0.859328i
\(175\) 4.62023 1.68163i 0.349256 0.127119i
\(176\) −2.67490 0.973585i −0.201628 0.0733867i
\(177\) 1.71415 + 1.43834i 0.128843 + 0.108112i
\(178\) −5.38815 + 9.33254i −0.403859 + 0.699504i
\(179\) −2.16529 3.75038i −0.161841 0.280317i 0.773688 0.633567i \(-0.218410\pi\)
−0.935529 + 0.353250i \(0.885077\pi\)
\(180\) 0.413538 2.34529i 0.0308233 0.174807i
\(181\) 0.237758 1.34839i 0.0176724 0.100225i −0.974696 0.223536i \(-0.928240\pi\)
0.992368 + 0.123311i \(0.0393511\pi\)
\(182\) 16.1313 + 27.9403i 1.19573 + 2.07107i
\(183\) −8.69872 + 15.0666i −0.643028 + 1.11376i
\(184\) 2.03580 + 1.70824i 0.150081 + 0.125933i
\(185\) 1.93814 + 0.705424i 0.142495 + 0.0518638i
\(186\) 11.8050 4.29667i 0.865584 0.315047i
\(187\) −4.77819 + 4.00938i −0.349416 + 0.293195i
\(188\) −0.521812 2.95934i −0.0380570 0.215832i
\(189\) −7.05488 −0.513167
\(190\) −1.96579 + 3.89046i −0.142614 + 0.282243i
\(191\) 13.6338 0.986505 0.493252 0.869886i \(-0.335808\pi\)
0.493252 + 0.869886i \(0.335808\pi\)
\(192\) −0.402829 2.28456i −0.0290717 0.164874i
\(193\) −3.99835 + 3.35501i −0.287807 + 0.241499i −0.775248 0.631657i \(-0.782375\pi\)
0.487441 + 0.873156i \(0.337931\pi\)
\(194\) 1.93040 0.702609i 0.138595 0.0504444i
\(195\) −14.3040 5.20624i −1.02433 0.372827i
\(196\) 13.1563 + 11.0395i 0.939737 + 0.788533i
\(197\) −1.42771 + 2.47286i −0.101720 + 0.176184i −0.912393 0.409315i \(-0.865768\pi\)
0.810674 + 0.585498i \(0.199101\pi\)
\(198\) 3.38951 + 5.87080i 0.240882 + 0.417220i
\(199\) −0.254330 + 1.44238i −0.0180290 + 0.102247i −0.992494 0.122290i \(-0.960976\pi\)
0.974465 + 0.224538i \(0.0720872\pi\)
\(200\) −0.173648 + 0.984808i −0.0122788 + 0.0696364i
\(201\) 2.22649 + 3.85639i 0.157044 + 0.272009i
\(202\) −2.50483 + 4.33849i −0.176239 + 0.305255i
\(203\) 28.6317 + 24.0248i 2.00955 + 1.68621i
\(204\) −4.77666 1.73856i −0.334433 0.121724i
\(205\) 8.79298 3.20038i 0.614128 0.223524i
\(206\) 6.92112 5.80751i 0.482218 0.404629i
\(207\) −1.09900 6.23271i −0.0763855 0.433203i
\(208\) −6.56179 −0.454978
\(209\) −2.83192 12.0804i −0.195888 0.835621i
\(210\) −11.4059 −0.787079
\(211\) 0.227567 + 1.29059i 0.0156663 + 0.0888482i 0.991638 0.129047i \(-0.0411919\pi\)
−0.975972 + 0.217896i \(0.930081\pi\)
\(212\) −3.23435 + 2.71395i −0.222136 + 0.186395i
\(213\) −13.4399 + 4.89171i −0.920883 + 0.335174i
\(214\) 5.60792 + 2.04112i 0.383350 + 0.139528i
\(215\) 1.32839 + 1.11465i 0.0905954 + 0.0760186i
\(216\) 0.717435 1.24263i 0.0488152 0.0845505i
\(217\) −13.3130 23.0588i −0.903747 1.56534i
\(218\) 2.74884 15.5895i 0.186175 1.05585i
\(219\) 1.60206 9.08576i 0.108257 0.613959i
\(220\) −1.42329 2.46520i −0.0959579 0.166204i
\(221\) −7.18919 + 12.4520i −0.483597 + 0.837615i
\(222\) −3.66524 3.07550i −0.245995 0.206414i
\(223\) −26.4339 9.62115i −1.77014 0.644280i −0.999979 0.00643379i \(-0.997952\pi\)
−0.770164 0.637846i \(-0.779826\pi\)
\(224\) −4.62023 + 1.68163i −0.308702 + 0.112358i
\(225\) 1.82431 1.53078i 0.121621 0.102052i
\(226\) −3.16128 17.9285i −0.210285 1.19259i
\(227\) 12.6466 0.839382 0.419691 0.907667i \(-0.362138\pi\)
0.419691 + 0.907667i \(0.362138\pi\)
\(228\) 7.37199 6.92110i 0.488222 0.458361i
\(229\) 13.7440 0.908227 0.454113 0.890944i \(-0.349956\pi\)
0.454113 + 0.890944i \(0.349956\pi\)
\(230\) 0.461478 + 2.61717i 0.0304290 + 0.172571i
\(231\) 24.8716 20.8698i 1.63643 1.37313i
\(232\) −7.14334 + 2.59996i −0.468983 + 0.170696i
\(233\) −23.1335 8.41990i −1.51552 0.551606i −0.555499 0.831517i \(-0.687473\pi\)
−0.960026 + 0.279911i \(0.909695\pi\)
\(234\) 11.9707 + 10.0446i 0.782552 + 0.656639i
\(235\) 1.50250 2.60240i 0.0980121 0.169762i
\(236\) 0.482296 + 0.835361i 0.0313948 + 0.0543774i
\(237\) −6.17251 + 35.0061i −0.400948 + 2.27389i
\(238\) −1.87083 + 10.6100i −0.121268 + 0.687746i
\(239\) 8.14698 + 14.1110i 0.526984 + 0.912763i 0.999506 + 0.0314439i \(0.0100106\pi\)
−0.472522 + 0.881319i \(0.656656\pi\)
\(240\) 1.15990 2.00901i 0.0748712 0.129681i
\(241\) −14.7500 12.3767i −0.950133 0.797256i 0.0291873 0.999574i \(-0.490708\pi\)
−0.979320 + 0.202318i \(0.935153\pi\)
\(242\) −2.72232 0.990842i −0.174997 0.0636938i
\(243\) −18.7851 + 6.83722i −1.20506 + 0.438608i
\(244\) −5.74499 + 4.82062i −0.367785 + 0.308608i
\(245\) 2.98230 + 16.9134i 0.190532 + 1.08056i
\(246\) −21.7070 −1.38399
\(247\) −15.6586 23.9351i −0.996335 1.52296i
\(248\) 5.41539 0.343877
\(249\) 0.528538 + 2.99749i 0.0334947 + 0.189958i
\(250\) −0.766044 + 0.642788i −0.0484489 + 0.0406535i
\(251\) 26.0953 9.49792i 1.64712 0.599504i 0.658860 0.752266i \(-0.271039\pi\)
0.988263 + 0.152762i \(0.0488169\pi\)
\(252\) 11.0029 + 4.00474i 0.693119 + 0.252275i
\(253\) −5.79505 4.86262i −0.364331 0.305710i
\(254\) 3.82477 6.62470i 0.239987 0.415671i
\(255\) −2.54161 4.40219i −0.159161 0.275676i
\(256\) 0.173648 0.984808i 0.0108530 0.0615505i
\(257\) 2.26963 12.8717i 0.141576 0.802915i −0.828478 0.560022i \(-0.810793\pi\)
0.970053 0.242893i \(-0.0780962\pi\)
\(258\) −2.01137 3.48379i −0.125222 0.216891i
\(259\) −5.07044 + 8.78226i −0.315062 + 0.545703i
\(260\) −5.02662 4.21784i −0.311738 0.261579i
\(261\) 17.0116 + 6.19173i 1.05299 + 0.383259i
\(262\) −12.5118 + 4.55392i −0.772981 + 0.281342i
\(263\) 11.5336 9.67780i 0.711190 0.596759i −0.213743 0.976890i \(-0.568566\pi\)
0.924933 + 0.380131i \(0.124121\pi\)
\(264\) 1.14668 + 6.50315i 0.0705734 + 0.400241i
\(265\) −4.22215 −0.259365
\(266\) −17.1594 12.8401i −1.05211 0.787276i
\(267\) 24.9988 1.52990
\(268\) 0.333326 + 1.89039i 0.0203612 + 0.115474i
\(269\) 18.7339 15.7196i 1.14222 0.958439i 0.142714 0.989764i \(-0.454417\pi\)
0.999509 + 0.0313248i \(0.00997262\pi\)
\(270\) 1.34834 0.490754i 0.0820571 0.0298663i
\(271\) −8.41094 3.06133i −0.510928 0.185963i 0.0736745 0.997282i \(-0.476527\pi\)
−0.584603 + 0.811320i \(0.698750\pi\)
\(272\) −1.67858 1.40849i −0.101779 0.0854025i
\(273\) 37.4214 64.8158i 2.26485 3.92283i
\(274\) −3.61313 6.25813i −0.218277 0.378067i
\(275\) 0.494302 2.80333i 0.0298075 0.169047i
\(276\) 1.07054 6.07131i 0.0644387 0.365450i
\(277\) 3.90071 + 6.75622i 0.234371 + 0.405942i 0.959090 0.283103i \(-0.0913637\pi\)
−0.724719 + 0.689045i \(0.758030\pi\)
\(278\) −1.20589 + 2.08866i −0.0723242 + 0.125269i
\(279\) −9.87935 8.28976i −0.591461 0.496295i
\(280\) −4.62023 1.68163i −0.276111 0.100496i
\(281\) −17.1947 + 6.25837i −1.02575 + 0.373343i −0.799462 0.600717i \(-0.794882\pi\)
−0.226290 + 0.974060i \(0.572660\pi\)
\(282\) −5.34008 + 4.48086i −0.317997 + 0.266831i
\(283\) 1.25513 + 7.11822i 0.0746100 + 0.423134i 0.999119 + 0.0419735i \(0.0133645\pi\)
−0.924509 + 0.381161i \(0.875524\pi\)
\(284\) −6.16536 −0.365847
\(285\) 10.0961 0.563248i 0.598040 0.0333639i
\(286\) 18.6786 1.10449
\(287\) 7.98910 + 45.3084i 0.471582 + 2.67447i
\(288\) −1.82431 + 1.53078i −0.107499 + 0.0902020i
\(289\) 11.4629 4.17214i 0.674286 0.245420i
\(290\) −7.14334 2.59996i −0.419471 0.152675i
\(291\) −3.65062 3.06323i −0.214003 0.179570i
\(292\) 1.98852 3.44421i 0.116369 0.201557i
\(293\) −5.69330 9.86109i −0.332606 0.576091i 0.650416 0.759578i \(-0.274595\pi\)
−0.983022 + 0.183488i \(0.941261\pi\)
\(294\) 6.91833 39.2358i 0.403485 2.28828i
\(295\) −0.167500 + 0.949937i −0.00975220 + 0.0553075i
\(296\) −1.03126 1.78620i −0.0599408 0.103821i
\(297\) −2.04223 + 3.53724i −0.118502 + 0.205252i
\(298\) 5.34602 + 4.48584i 0.309687 + 0.259858i
\(299\) −16.3866 5.96423i −0.947662 0.344921i
\(300\) 2.17990 0.793418i 0.125856 0.0458080i
\(301\) −6.53135 + 5.48045i −0.376461 + 0.315888i
\(302\) 0.988686 + 5.60712i 0.0568925 + 0.322653i
\(303\) 11.6214 0.667632
\(304\) 4.00662 1.71667i 0.229796 0.0984580i
\(305\) −7.49955 −0.429423
\(306\) 0.906156 + 5.13906i 0.0518015 + 0.293781i
\(307\) 3.78649 3.17725i 0.216107 0.181335i −0.528308 0.849053i \(-0.677173\pi\)
0.744414 + 0.667718i \(0.232729\pi\)
\(308\) 13.1518 4.78687i 0.749394 0.272757i
\(309\) −19.6951 7.16844i −1.12042 0.407798i
\(310\) 4.14843 + 3.48094i 0.235615 + 0.197704i
\(311\) −12.0586 + 20.8861i −0.683782 + 1.18434i 0.290036 + 0.957016i \(0.406333\pi\)
−0.973818 + 0.227329i \(0.927001\pi\)
\(312\) 7.61102 + 13.1827i 0.430889 + 0.746322i
\(313\) −5.37886 + 30.5050i −0.304031 + 1.72424i 0.324001 + 0.946057i \(0.394972\pi\)
−0.628031 + 0.778188i \(0.716139\pi\)
\(314\) 0.922737 5.23310i 0.0520731 0.295321i
\(315\) 5.85453 + 10.1404i 0.329866 + 0.571344i
\(316\) −7.66146 + 13.2700i −0.430991 + 0.746498i
\(317\) −5.29378 4.44201i −0.297328 0.249488i 0.481903 0.876225i \(-0.339946\pi\)
−0.779231 + 0.626737i \(0.784390\pi\)
\(318\) 9.20386 + 3.34993i 0.516127 + 0.187855i
\(319\) 20.3340 7.40098i 1.13849 0.414376i
\(320\) 0.766044 0.642788i 0.0428232 0.0359329i
\(321\) −2.40401 13.6338i −0.134179 0.760966i
\(322\) −13.0665 −0.728166
\(323\) 1.13205 9.48402i 0.0629890 0.527705i
\(324\) −10.4730 −0.581834
\(325\) −1.13944 6.46210i −0.0632049 0.358453i
\(326\) 3.42697 2.87557i 0.189802 0.159263i
\(327\) −34.5077 + 12.5598i −1.90828 + 0.694557i
\(328\) −8.79298 3.20038i −0.485511 0.176712i
\(329\) 11.3181 + 9.49705i 0.623989 + 0.523589i
\(330\) −3.30174 + 5.71878i −0.181755 + 0.314808i
\(331\) −2.08943 3.61900i −0.114845 0.198918i 0.802873 0.596151i \(-0.203304\pi\)
−0.917718 + 0.397233i \(0.869971\pi\)
\(332\) −0.227838 + 1.29213i −0.0125042 + 0.0709149i
\(333\) −0.852930 + 4.83721i −0.0467403 + 0.265077i
\(334\) 1.82438 + 3.15992i 0.0998258 + 0.172903i
\(335\) −0.959775 + 1.66238i −0.0524381 + 0.0908255i
\(336\) 8.73739 + 7.33154i 0.476664 + 0.399968i
\(337\) −16.1638 5.88315i −0.880500 0.320476i −0.138088 0.990420i \(-0.544096\pi\)
−0.742411 + 0.669944i \(0.766318\pi\)
\(338\) 28.2444 10.2801i 1.53629 0.559165i
\(339\) −32.3517 + 27.1463i −1.75710 + 1.47439i
\(340\) −0.380503 2.15794i −0.0206357 0.117031i
\(341\) −15.4153 −0.834784
\(342\) −9.93717 3.00151i −0.537341 0.162303i
\(343\) −50.0247 −2.70108
\(344\) −0.301121 1.70774i −0.0162354 0.0920754i
\(345\) 4.72264 3.96277i 0.254259 0.213348i
\(346\) −1.10537 + 0.402322i −0.0594251 + 0.0216290i
\(347\) −17.3494 6.31466i −0.931364 0.338989i −0.168614 0.985682i \(-0.553929\pi\)
−0.762750 + 0.646693i \(0.776151\pi\)
\(348\) 13.5089 + 11.3353i 0.724153 + 0.607637i
\(349\) −12.3704 + 21.4262i −0.662174 + 1.14692i 0.317870 + 0.948134i \(0.397033\pi\)
−0.980043 + 0.198784i \(0.936301\pi\)
\(350\) −2.45837 4.25802i −0.131405 0.227601i
\(351\) −1.63495 + 9.27227i −0.0872672 + 0.494917i
\(352\) −0.494302 + 2.80333i −0.0263464 + 0.149418i
\(353\) 3.20496 + 5.55115i 0.170583 + 0.295458i 0.938624 0.344943i \(-0.112102\pi\)
−0.768041 + 0.640401i \(0.778768\pi\)
\(354\) 1.11883 1.93787i 0.0594651 0.102997i
\(355\) −4.72294 3.96302i −0.250668 0.210335i
\(356\) 10.1264 + 3.68571i 0.536698 + 0.195342i
\(357\) 23.4856 8.54805i 1.24299 0.452411i
\(358\) −3.31741 + 2.78364i −0.175331 + 0.147120i
\(359\) −6.39293 36.2561i −0.337406 1.91353i −0.402051 0.915617i \(-0.631703\pi\)
0.0646449 0.997908i \(-0.479409\pi\)
\(360\) −2.38147 −0.125514
\(361\) 15.8230 + 10.5182i 0.832789 + 0.553591i
\(362\) −1.36920 −0.0719633
\(363\) 1.16701 + 6.61843i 0.0612520 + 0.347377i
\(364\) 24.7146 20.7380i 1.29540 1.08697i
\(365\) 3.73719 1.36023i 0.195613 0.0711975i
\(366\) 16.3483 + 5.95028i 0.854537 + 0.311026i
\(367\) 11.2025 + 9.39999i 0.584764 + 0.490676i 0.886508 0.462714i \(-0.153124\pi\)
−0.301743 + 0.953389i \(0.597569\pi\)
\(368\) 1.32877 2.30150i 0.0692671 0.119974i
\(369\) 11.1420 + 19.2986i 0.580032 + 1.00464i
\(370\) 0.358153 2.03119i 0.0186195 0.105596i
\(371\) 3.60480 20.4438i 0.187152 1.06139i
\(372\) −6.28130 10.8795i −0.325670 0.564078i
\(373\) 6.77871 11.7411i 0.350989 0.607930i −0.635434 0.772155i \(-0.719179\pi\)
0.986423 + 0.164225i \(0.0525123\pi\)
\(374\) 4.77819 + 4.00938i 0.247075 + 0.207320i
\(375\) 2.17990 + 0.793418i 0.112569 + 0.0409719i
\(376\) −2.82377 + 1.02777i −0.145625 + 0.0530031i
\(377\) 38.2113 32.0631i 1.96798 1.65133i
\(378\) 1.22507 + 6.94770i 0.0630107 + 0.357351i
\(379\) 30.2899 1.55589 0.777944 0.628333i \(-0.216262\pi\)
0.777944 + 0.628333i \(0.216262\pi\)
\(380\) 4.17271 + 1.26036i 0.214055 + 0.0646551i
\(381\) −17.7454 −0.909124
\(382\) −2.36748 13.4266i −0.121131 0.686967i
\(383\) −21.9571 + 18.4242i −1.12196 + 0.941433i −0.998702 0.0509425i \(-0.983777\pi\)
−0.123254 + 0.992375i \(0.539333\pi\)
\(384\) −2.17990 + 0.793418i −0.111242 + 0.0404889i
\(385\) 13.1518 + 4.78687i 0.670278 + 0.243961i
\(386\) 3.99835 + 3.35501i 0.203511 + 0.170766i
\(387\) −2.06484 + 3.57641i −0.104962 + 0.181799i
\(388\) −1.02715 1.77907i −0.0521454 0.0903186i
\(389\) 2.97395 16.8661i 0.150785 0.855145i −0.811754 0.584000i \(-0.801487\pi\)
0.962539 0.271145i \(-0.0874021\pi\)
\(390\) −2.64328 + 14.9908i −0.133848 + 0.759087i
\(391\) −2.91165 5.04312i −0.147248 0.255041i
\(392\) 8.58718 14.8734i 0.433718 0.751222i
\(393\) 23.6613 + 19.8542i 1.19355 + 1.00151i
\(394\) 2.68321 + 0.976608i 0.135178 + 0.0492008i
\(395\) −14.3988 + 5.24075i −0.724484 + 0.263691i
\(396\) 5.19303 4.35747i 0.260960 0.218971i
\(397\) 4.53308 + 25.7084i 0.227509 + 1.29027i 0.857831 + 0.513932i \(0.171812\pi\)
−0.630322 + 0.776334i \(0.717077\pi\)
\(398\) 1.46463 0.0734151
\(399\) −5.89259 + 49.3665i −0.294998 + 2.47142i
\(400\) 1.00000 0.0500000
\(401\) −1.61683 9.16948i −0.0807405 0.457902i −0.998195 0.0600607i \(-0.980871\pi\)
0.917454 0.397841i \(-0.130241\pi\)
\(402\) 3.41117 2.86232i 0.170134 0.142759i
\(403\) −33.3916 + 12.1536i −1.66336 + 0.605412i
\(404\) 4.70754 + 1.71340i 0.234209 + 0.0852450i
\(405\) −8.02279 6.73192i −0.398656 0.334512i
\(406\) 18.6880 32.3686i 0.927471 1.60643i
\(407\) 2.93556 + 5.08453i 0.145510 + 0.252031i
\(408\) −0.882690 + 5.00598i −0.0436997 + 0.247833i
\(409\) 2.53175 14.3583i 0.125187 0.709972i −0.856009 0.516960i \(-0.827063\pi\)
0.981196 0.193012i \(-0.0618255\pi\)
\(410\) −4.67865 8.10365i −0.231062 0.400211i
\(411\) −8.38174 + 14.5176i −0.413441 + 0.716101i
\(412\) −6.92112 5.80751i −0.340979 0.286116i
\(413\) −4.45663 1.62208i −0.219297 0.0798174i
\(414\) −5.94718 + 2.16460i −0.292288 + 0.106384i
\(415\) −1.00510 + 0.843379i −0.0493384 + 0.0413999i
\(416\) 1.13944 + 6.46210i 0.0558658 + 0.316831i
\(417\) 5.59483 0.273980
\(418\) −11.4051 + 4.88664i −0.557844 + 0.239013i
\(419\) 14.5969 0.713103 0.356552 0.934276i \(-0.383952\pi\)
0.356552 + 0.934276i \(0.383952\pi\)
\(420\) 1.98061 + 11.2326i 0.0966437 + 0.548094i
\(421\) −30.0605 + 25.2237i −1.46506 + 1.22933i −0.544478 + 0.838775i \(0.683272\pi\)
−0.920580 + 0.390554i \(0.872283\pi\)
\(422\) 1.23147 0.448219i 0.0599471 0.0218190i
\(423\) 6.72472 + 2.44760i 0.326967 + 0.119006i
\(424\) 3.23435 + 2.71395i 0.157074 + 0.131801i
\(425\) 1.09561 1.89766i 0.0531451 0.0920500i
\(426\) 7.15120 + 12.3862i 0.346477 + 0.600115i
\(427\) 6.40299 36.3132i 0.309862 1.75732i
\(428\) 1.03630 5.87716i 0.0500916 0.284083i
\(429\) −21.6653 37.5254i −1.04601 1.81174i
\(430\) 0.867044 1.50177i 0.0418126 0.0724215i
\(431\) 16.7585 + 14.0620i 0.807228 + 0.677345i 0.949944 0.312419i \(-0.101139\pi\)
−0.142716 + 0.989764i \(0.545584\pi\)
\(432\) −1.34834 0.490754i −0.0648718 0.0236114i
\(433\) 1.03524 0.376798i 0.0497507 0.0181078i −0.317025 0.948417i \(-0.602684\pi\)
0.366776 + 0.930309i \(0.380462\pi\)
\(434\) −20.3967 + 17.1149i −0.979075 + 0.821542i
\(435\) 3.06222 + 17.3667i 0.146822 + 0.832670i
\(436\) −15.8300 −0.758118
\(437\) 11.5660 0.645253i 0.553276 0.0308666i
\(438\) −9.22592 −0.440832
\(439\) −0.732304 4.15310i −0.0349510 0.198217i 0.962333 0.271875i \(-0.0876437\pi\)
−0.997284 + 0.0736582i \(0.976533\pi\)
\(440\) −2.18060 + 1.82974i −0.103956 + 0.0872295i
\(441\) −38.4336 + 13.9887i −1.83017 + 0.666128i
\(442\) 13.5113 + 4.91770i 0.642665 + 0.233911i
\(443\) 5.80899 + 4.87432i 0.275993 + 0.231586i 0.770269 0.637719i \(-0.220122\pi\)
−0.494275 + 0.869305i \(0.664567\pi\)
\(444\) −2.39232 + 4.14362i −0.113534 + 0.196647i
\(445\) 5.38815 + 9.33254i 0.255423 + 0.442405i
\(446\) −4.88478 + 27.7030i −0.231301 + 1.31177i
\(447\) 2.81124 15.9433i 0.132967 0.754093i
\(448\) 2.45837 + 4.25802i 0.116147 + 0.201173i
\(449\) −14.8487 + 25.7188i −0.700756 + 1.21374i 0.267446 + 0.963573i \(0.413820\pi\)
−0.968202 + 0.250171i \(0.919513\pi\)
\(450\) −1.82431 1.53078i −0.0859988 0.0721616i
\(451\) 25.0298 + 9.11012i 1.17861 + 0.428979i
\(452\) −17.1072 + 6.22651i −0.804655 + 0.292871i
\(453\) 10.1180 8.48997i 0.475383 0.398894i
\(454\) −2.19605 12.4544i −0.103066 0.584515i
\(455\) 32.2626 1.51250
\(456\) −8.09609 6.05816i −0.379134 0.283699i
\(457\) 9.12576 0.426885 0.213442 0.976956i \(-0.431532\pi\)
0.213442 + 0.976956i \(0.431532\pi\)
\(458\) −2.38661 13.5352i −0.111519 0.632456i
\(459\) −2.40854 + 2.02101i −0.112421 + 0.0943324i
\(460\) 2.49728 0.908934i 0.116436 0.0423793i
\(461\) 24.7943 + 9.02439i 1.15479 + 0.420308i 0.847232 0.531223i \(-0.178267\pi\)
0.307554 + 0.951531i \(0.400490\pi\)
\(462\) −24.8716 20.8698i −1.15713 0.970949i
\(463\) 7.86094 13.6156i 0.365329 0.632768i −0.623500 0.781823i \(-0.714290\pi\)
0.988829 + 0.149055i \(0.0476232\pi\)
\(464\) 3.80089 + 6.58334i 0.176452 + 0.305624i
\(465\) 2.18147 12.3718i 0.101163 0.573726i
\(466\) −4.27489 + 24.2441i −0.198031 + 1.12309i
\(467\) 3.44966 + 5.97499i 0.159631 + 0.276490i 0.934736 0.355344i \(-0.115636\pi\)
−0.775104 + 0.631833i \(0.782303\pi\)
\(468\) 7.81335 13.5331i 0.361172 0.625568i
\(469\) −7.22988 6.06659i −0.333845 0.280129i
\(470\) −2.82377 1.02777i −0.130251 0.0474074i
\(471\) −11.5836 + 4.21609i −0.533745 + 0.194267i
\(472\) 0.738920 0.620028i 0.0340116 0.0285391i
\(473\) 0.857164 + 4.86122i 0.0394124 + 0.223519i
\(474\) 35.5461 1.63269
\(475\) 2.38634 + 3.64766i 0.109493 + 0.167366i
\(476\) 10.7737 0.493812
\(477\) −1.74602 9.90216i −0.0799447 0.453389i
\(478\) 12.4819 10.4735i 0.570908 0.479049i
\(479\) 3.42858 1.24790i 0.156656 0.0570180i −0.262502 0.964931i \(-0.584548\pi\)
0.419158 + 0.907913i \(0.362325\pi\)
\(480\) −2.17990 0.793418i −0.0994983 0.0362144i
\(481\) 10.3675 + 8.69938i 0.472718 + 0.396657i
\(482\) −9.62739 + 16.6751i −0.438516 + 0.759532i
\(483\) 15.1558 + 26.2506i 0.689612 + 1.19444i
\(484\) −0.503064 + 2.85302i −0.0228665 + 0.129683i
\(485\) 0.356724 2.02308i 0.0161980 0.0918635i
\(486\) 9.99534 + 17.3124i 0.453398 + 0.785308i
\(487\) 11.2575 19.4986i 0.510128 0.883568i −0.489803 0.871833i \(-0.662931\pi\)
0.999931 0.0117346i \(-0.00373533\pi\)
\(488\) 5.74499 + 4.82062i 0.260063 + 0.218219i
\(489\) −9.75196 3.54942i −0.440999 0.160510i
\(490\) 16.1386 5.87398i 0.729069 0.265359i
\(491\) 19.2746 16.1733i 0.869849 0.729890i −0.0942175 0.995552i \(-0.530035\pi\)
0.964066 + 0.265662i \(0.0855905\pi\)
\(492\) 3.76939 + 21.3773i 0.169937 + 0.963761i
\(493\) 16.6573 0.750205
\(494\) −20.8524 + 19.5770i −0.938195 + 0.880813i
\(495\) 6.77902 0.304694
\(496\) −0.940372 5.33311i −0.0422239 0.239464i
\(497\) 23.2215 19.4851i 1.04163 0.874027i
\(498\) 2.86017 1.04102i 0.128167 0.0466490i
\(499\) −29.8561 10.8667i −1.33654 0.486461i −0.427819 0.903864i \(-0.640718\pi\)
−0.908721 + 0.417403i \(0.862940\pi\)
\(500\) 0.766044 + 0.642788i 0.0342585 + 0.0287463i
\(501\) 4.23220 7.33039i 0.189081 0.327498i
\(502\) −13.8850 24.0496i −0.619719 1.07339i
\(503\) −4.43880 + 25.1737i −0.197917 + 1.12244i 0.710287 + 0.703912i \(0.248565\pi\)
−0.908204 + 0.418528i \(0.862546\pi\)
\(504\) 2.03326 11.5312i 0.0905685 0.513640i
\(505\) 2.50483 + 4.33849i 0.111463 + 0.193060i
\(506\) −3.78245 + 6.55139i −0.168150 + 0.291245i
\(507\) −53.4135 44.8192i −2.37218 1.99049i
\(508\) −7.18822 2.61630i −0.318926 0.116079i
\(509\) −9.28595 + 3.37981i −0.411592 + 0.149807i −0.539513 0.841977i \(-0.681392\pi\)
0.127921 + 0.991784i \(0.459170\pi\)
\(510\) −3.89396 + 3.26742i −0.172428 + 0.144684i
\(511\) 3.39553 + 19.2570i 0.150209 + 0.851879i
\(512\) −1.00000 −0.0441942
\(513\) −1.42748 6.08937i −0.0630248 0.268852i
\(514\) −13.0703 −0.576505
\(515\) −1.56889 8.89763i −0.0691336 0.392076i
\(516\) −3.08160 + 2.58577i −0.135660 + 0.113832i
\(517\) 8.03806 2.92562i 0.353514 0.128668i
\(518\) 9.52932 + 3.46839i 0.418694 + 0.152392i
\(519\) 2.09039 + 1.75404i 0.0917578 + 0.0769940i
\(520\) −3.28089 + 5.68268i −0.143877 + 0.249202i
\(521\) 2.14888 + 3.72196i 0.0941440 + 0.163062i 0.909251 0.416248i \(-0.136655\pi\)
−0.815107 + 0.579310i \(0.803322\pi\)
\(522\) 3.14362 17.8284i 0.137593 0.780327i
\(523\) 4.32437 24.5247i 0.189092 1.07239i −0.731493 0.681849i \(-0.761176\pi\)
0.920585 0.390543i \(-0.127713\pi\)
\(524\) 6.65739 + 11.5309i 0.290829 + 0.503731i
\(525\) −5.70293 + 9.87776i −0.248896 + 0.431101i
\(526\) −11.5336 9.67780i −0.502887 0.421972i
\(527\) −11.1507 4.05853i −0.485733 0.176792i
\(528\) 6.20524 2.25852i 0.270048 0.0982895i
\(529\) −12.2088 + 10.2444i −0.530817 + 0.445408i
\(530\) 0.733169 + 4.15801i 0.0318468 + 0.180612i
\(531\) −2.29714 −0.0996876
\(532\) −9.66531 + 19.1284i −0.419044 + 0.829320i
\(533\) 61.4006 2.65955
\(534\) −4.34100 24.6191i −0.187854 1.06537i
\(535\) 4.57162 3.83604i 0.197648 0.165847i
\(536\) 1.80379 0.656525i 0.0779118 0.0283576i
\(537\) 9.44020 + 3.43595i 0.407375 + 0.148272i
\(538\) −18.7339 15.7196i −0.807674 0.677719i
\(539\) −24.4440 + 42.3383i −1.05288 + 1.82364i
\(540\) −0.717435 1.24263i −0.0308735 0.0534744i
\(541\) −3.80139 + 21.5587i −0.163434 + 0.926882i 0.787230 + 0.616660i \(0.211515\pi\)
−0.950664 + 0.310222i \(0.899596\pi\)
\(542\) −1.55428 + 8.81475i −0.0667620 + 0.378626i
\(543\) 1.58813 + 2.75072i 0.0681531 + 0.118045i
\(544\) −1.09561 + 1.89766i −0.0469741 + 0.0813615i
\(545\) −12.1265 10.1753i −0.519440 0.435862i
\(546\) −70.3292 25.5978i −3.00981 1.09548i
\(547\) −2.78367 + 1.01317i −0.119021 + 0.0433202i −0.400844 0.916146i \(-0.631283\pi\)
0.281823 + 0.959466i \(0.409061\pi\)
\(548\) −5.53564 + 4.64495i −0.236471 + 0.198423i
\(549\) −3.10135 17.5886i −0.132362 0.750663i
\(550\) −2.84657 −0.121378
\(551\) −14.9435 + 29.5744i −0.636617 + 1.25991i
\(552\) −6.16497 −0.262399
\(553\) −13.0825 74.1943i −0.556322 3.15506i
\(554\) 5.97623 5.01465i 0.253906 0.213052i
\(555\) −4.49609 + 1.63644i −0.190848 + 0.0694631i
\(556\) 2.26632 + 0.824874i 0.0961135 + 0.0349825i
\(557\) −23.5710 19.7784i −0.998734 0.838038i −0.0119259 0.999929i \(-0.503796\pi\)
−0.986809 + 0.161891i \(0.948241\pi\)
\(558\) −6.44829 + 11.1688i −0.272978 + 0.472811i
\(559\) 5.68936 + 9.85426i 0.240634 + 0.416791i
\(560\) −0.853783 + 4.84205i −0.0360789 + 0.204614i
\(561\) 2.51264 14.2499i 0.106084 0.601631i
\(562\) 9.14912 + 15.8467i 0.385933 + 0.668455i
\(563\) 17.7546 30.7518i 0.748266 1.29603i −0.200387 0.979717i \(-0.564220\pi\)
0.948653 0.316318i \(-0.102447\pi\)
\(564\) 5.34008 + 4.48086i 0.224858 + 0.188678i
\(565\) −17.1072 6.22651i −0.719705 0.261951i
\(566\) 6.79213 2.47213i 0.285494 0.103911i
\(567\) 39.4460 33.0991i 1.65658 1.39003i
\(568\) 1.07060 + 6.07169i 0.0449215 + 0.254763i
\(569\) 33.0813 1.38684 0.693421 0.720533i \(-0.256103\pi\)
0.693421 + 0.720533i \(0.256103\pi\)
\(570\) −2.30786 9.84488i −0.0966654 0.412357i
\(571\) 2.29342 0.0959766 0.0479883 0.998848i \(-0.484719\pi\)
0.0479883 + 0.998848i \(0.484719\pi\)
\(572\) −3.24351 18.3948i −0.135618 0.769127i
\(573\) −24.2282 + 20.3298i −1.01215 + 0.849291i
\(574\) 43.2328 15.7355i 1.80450 0.656785i
\(575\) 2.49728 + 0.908934i 0.104144 + 0.0379052i
\(576\) 1.82431 + 1.53078i 0.0760129 + 0.0637824i
\(577\) 7.85178 13.5997i 0.326874 0.566162i −0.655016 0.755615i \(-0.727338\pi\)
0.981890 + 0.189453i \(0.0606715\pi\)
\(578\) −6.09926 10.5642i −0.253696 0.439414i
\(579\) 2.10255 11.9242i 0.0873792 0.495552i
\(580\) −1.32004 + 7.48630i −0.0548115 + 0.310852i
\(581\) −3.22554 5.58680i −0.133818 0.231780i
\(582\) −2.38277 + 4.12708i −0.0987691 + 0.171073i
\(583\) −9.20682 7.72544i −0.381308 0.319955i
\(584\) −3.73719 1.36023i −0.154646 0.0562865i
\(585\) 14.6843 5.34464i 0.607121 0.220974i
\(586\) −8.72264 + 7.31917i −0.360329 + 0.302352i
\(587\) −4.60359 26.1082i −0.190010 1.07760i −0.919347 0.393448i \(-0.871282\pi\)
0.729337 0.684155i \(-0.239829\pi\)
\(588\) −39.8411 −1.64302
\(589\) 17.2093 16.1568i 0.709098 0.665728i
\(590\) 0.964592 0.0397116
\(591\) −1.15024 6.52335i −0.0473146 0.268335i
\(592\) −1.57998 + 1.32576i −0.0649369 + 0.0544885i
\(593\) 2.75254 1.00184i 0.113033 0.0411408i −0.284884 0.958562i \(-0.591955\pi\)
0.397918 + 0.917421i \(0.369733\pi\)
\(594\) 3.83813 + 1.39697i 0.157481 + 0.0573182i
\(595\) 8.25314 + 6.92521i 0.338346 + 0.283906i
\(596\) 3.48937 6.04376i 0.142930 0.247562i
\(597\) −1.69882 2.94244i −0.0695281 0.120426i
\(598\) −3.02812 + 17.1733i −0.123829 + 0.702270i
\(599\) 6.43428 36.4906i 0.262897 1.49097i −0.512059 0.858950i \(-0.671117\pi\)
0.774956 0.632015i \(-0.217772\pi\)
\(600\) −1.15990 2.00901i −0.0473527 0.0820173i
\(601\) 4.84799 8.39697i 0.197754 0.342520i −0.750046 0.661386i \(-0.769969\pi\)
0.947800 + 0.318866i \(0.103302\pi\)
\(602\) 6.53135 + 5.48045i 0.266198 + 0.223367i
\(603\) −4.29566 1.56349i −0.174933 0.0636704i
\(604\) 5.35025 1.94733i 0.217699 0.0792358i
\(605\) −2.21925 + 1.86217i −0.0902255 + 0.0757082i
\(606\) −2.01803 11.4448i −0.0819771 0.464915i
\(607\) −38.0294 −1.54357 −0.771783 0.635886i \(-0.780635\pi\)
−0.771783 + 0.635886i \(0.780635\pi\)
\(608\) −2.38634 3.64766i −0.0967787 0.147932i
\(609\) −86.7049 −3.51346
\(610\) 1.30228 + 7.38561i 0.0527279 + 0.299035i
\(611\) 15.1050 12.6746i 0.611081 0.512758i
\(612\) 4.90364 1.78478i 0.198218 0.0721454i
\(613\) 21.4696 + 7.81429i 0.867149 + 0.315616i 0.737012 0.675880i \(-0.236236\pi\)
0.130137 + 0.991496i \(0.458458\pi\)
\(614\) −3.78649 3.17725i −0.152810 0.128223i
\(615\) −10.8535 + 18.7988i −0.437656 + 0.758043i
\(616\) −6.99793 12.1208i −0.281955 0.488360i
\(617\) −4.41886 + 25.0606i −0.177896 + 1.00890i 0.756851 + 0.653588i \(0.226737\pi\)
−0.934747 + 0.355313i \(0.884374\pi\)
\(618\) −3.63951 + 20.6407i −0.146403 + 0.830291i
\(619\) −7.95778 13.7833i −0.319850 0.553997i 0.660606 0.750733i \(-0.270299\pi\)
−0.980457 + 0.196736i \(0.936966\pi\)
\(620\) 2.70769 4.68986i 0.108744 0.188349i
\(621\) −2.92110 2.45110i −0.117220 0.0983591i
\(622\) 22.6628 + 8.24858i 0.908695 + 0.330738i
\(623\) −49.7889 + 18.1217i −1.99475 + 0.726030i
\(624\) 11.6608 9.78453i 0.466804 0.391695i
\(625\) 0.173648 + 0.984808i 0.00694593 + 0.0393923i
\(626\) 30.9756 1.23803
\(627\) 23.0461 + 17.2450i 0.920372 + 0.688698i
\(628\) −5.31383 −0.212045
\(629\) 0.784795 + 4.45079i 0.0312918 + 0.177465i
\(630\) 8.96967 7.52644i 0.357360 0.299861i
\(631\) 18.7345 6.81880i 0.745808 0.271452i 0.0589675 0.998260i \(-0.481219\pi\)
0.686841 + 0.726808i \(0.258997\pi\)
\(632\) 14.3988 + 5.24075i 0.572755 + 0.208466i
\(633\) −2.32886 1.95414i −0.0925637 0.0776702i
\(634\) −3.45527 + 5.98470i −0.137226 + 0.237683i
\(635\) −3.82477 6.62470i −0.151781 0.262893i
\(636\) 1.70080 9.64574i 0.0674413 0.382478i
\(637\) −19.5692 + 110.982i −0.775360 + 4.39728i
\(638\) −10.8195 18.7399i −0.428349 0.741922i
\(639\) 7.34130 12.7155i 0.290417 0.503018i
\(640\) −0.766044 0.642788i −0.0302806 0.0254084i
\(641\) −2.28156 0.830421i −0.0901163 0.0327996i 0.296569 0.955012i \(-0.404158\pi\)
−0.386685 + 0.922212i \(0.626380\pi\)
\(642\) −13.0093 + 4.73498i −0.513434 + 0.186875i
\(643\) −5.12827 + 4.30313i −0.202239 + 0.169699i −0.738282 0.674492i \(-0.764363\pi\)
0.536043 + 0.844191i \(0.319918\pi\)
\(644\) 2.26897 + 12.8680i 0.0894099 + 0.507069i
\(645\) −4.02274 −0.158395
\(646\) −9.53651 + 0.532031i −0.375209 + 0.0209325i
\(647\) 28.2280 1.10976 0.554878 0.831932i \(-0.312765\pi\)
0.554878 + 0.831932i \(0.312765\pi\)
\(648\) 1.81862 + 10.3139i 0.0714421 + 0.405168i
\(649\) −2.10339 + 1.76495i −0.0825652 + 0.0692805i
\(650\) −6.16606 + 2.24426i −0.241853 + 0.0880273i
\(651\) 58.0421 + 21.1256i 2.27485 + 0.827977i
\(652\) −3.42697 2.87557i −0.134210 0.112616i
\(653\) −8.49136 + 14.7075i −0.332293 + 0.575548i −0.982961 0.183814i \(-0.941156\pi\)
0.650668 + 0.759362i \(0.274489\pi\)
\(654\) 18.3612 + 31.8025i 0.717978 + 1.24358i
\(655\) −2.31209 + 13.1125i −0.0903407 + 0.512347i
\(656\) −1.62488 + 9.21513i −0.0634408 + 0.359791i
\(657\) 4.73559 + 8.20228i 0.184753 + 0.320002i
\(658\) 7.38739 12.7953i 0.287990 0.498814i
\(659\) −14.0188 11.7632i −0.546095 0.458228i 0.327521 0.944844i \(-0.393787\pi\)
−0.873616 + 0.486616i \(0.838231\pi\)
\(660\) 6.20524 + 2.25852i 0.241539 + 0.0879128i
\(661\) −5.11150 + 1.86043i −0.198814 + 0.0723625i −0.439508 0.898239i \(-0.644847\pi\)
0.240694 + 0.970601i \(0.422625\pi\)
\(662\) −3.20119 + 2.68612i −0.124418 + 0.104399i
\(663\) −5.79203 32.8482i −0.224944 1.27572i
\(664\) 1.31206 0.0509180
\(665\) −19.6995 + 8.44045i −0.763915 + 0.327306i
\(666\) 4.91183 0.190329
\(667\) 3.50806 + 19.8952i 0.135833 + 0.770344i
\(668\) 2.79512 2.34538i 0.108146 0.0907456i
\(669\) 61.3213 22.3191i 2.37082 0.862907i
\(670\) 1.80379 + 0.656525i 0.0696864 + 0.0253638i
\(671\) −16.3535 13.7222i −0.631321 0.529741i
\(672\) 5.70293 9.87776i 0.219995 0.381043i
\(673\) 14.9572 + 25.9066i 0.576557 + 0.998626i 0.995871 + 0.0907847i \(0.0289375\pi\)
−0.419313 + 0.907842i \(0.637729\pi\)
\(674\) −2.98695 + 16.9399i −0.115053 + 0.652499i
\(675\) 0.249162 1.41307i 0.00959026 0.0543891i
\(676\) −15.0285 26.0302i −0.578021 1.00116i
\(677\) 15.7282 27.2420i 0.604483 1.04700i −0.387650 0.921807i \(-0.626713\pi\)
0.992133 0.125189i \(-0.0399537\pi\)
\(678\) 32.3517 + 27.1463i 1.24246 + 1.04255i
\(679\) 9.49130 + 3.45455i 0.364243 + 0.132573i
\(680\) −2.05908 + 0.749444i −0.0789622 + 0.0287399i
\(681\) −22.4738 + 18.8578i −0.861199 + 0.722631i
\(682\) 2.67684 + 15.1811i 0.102501 + 0.581314i
\(683\) −49.8920 −1.90906 −0.954532 0.298109i \(-0.903644\pi\)
−0.954532 + 0.298109i \(0.903644\pi\)
\(684\) −1.23033 + 10.3074i −0.0470430 + 0.394114i
\(685\) −7.22627 −0.276101
\(686\) 8.68670 + 49.2647i 0.331660 + 1.88094i
\(687\) −24.4240 + 20.4941i −0.931833 + 0.781900i
\(688\) −1.62951 + 0.593093i −0.0621245 + 0.0226115i
\(689\) −26.0341 9.47562i −0.991818 0.360992i
\(690\) −4.72264 3.96277i −0.179788 0.150860i
\(691\) −9.36370 + 16.2184i −0.356212 + 0.616977i −0.987325 0.158714i \(-0.949265\pi\)
0.631113 + 0.775691i \(0.282599\pi\)
\(692\) 0.588156 + 1.01872i 0.0223583 + 0.0387258i
\(693\) −5.78782 + 32.8243i −0.219861 + 1.24689i
\(694\) −3.20604 + 18.1823i −0.121699 + 0.690192i
\(695\) 1.20589 + 2.08866i 0.0457419 + 0.0792272i
\(696\) 8.81731 15.2720i 0.334219 0.578885i
\(697\) 15.7069 + 13.1797i 0.594943 + 0.499217i
\(698\) 23.2488 + 8.46187i 0.879980 + 0.320286i
\(699\) 53.6650 19.5325i 2.02980 0.738786i
\(700\) −3.76644 + 3.16042i −0.142358 + 0.119453i
\(701\) −3.10915 17.6329i −0.117431 0.665984i −0.985518 0.169572i \(-0.945761\pi\)
0.868087 0.496412i \(-0.165350\pi\)
\(702\) 9.41531 0.355358
\(703\) −8.60630 2.59952i −0.324593 0.0980426i
\(704\) 2.84657 0.107284
\(705\) 1.21050 + 6.86508i 0.0455900 + 0.258554i
\(706\) 4.91028 4.12021i 0.184801 0.155066i
\(707\) −23.1458 + 8.42437i −0.870486 + 0.316831i
\(708\) −2.10271 0.765324i −0.0790247 0.0287627i
\(709\) 20.6673 + 17.3419i 0.776177 + 0.651290i 0.942283 0.334818i \(-0.108675\pi\)
−0.166106 + 0.986108i \(0.553119\pi\)
\(710\) −3.08268 + 5.33936i −0.115691 + 0.200382i
\(711\) −18.2455 31.6022i −0.684260 1.18517i
\(712\) 1.87128 10.6126i 0.0701293 0.397723i
\(713\) 2.49908 14.1730i 0.0935913 0.530783i
\(714\) −12.4964 21.6444i −0.467667 0.810023i
\(715\) 9.33930 16.1761i 0.349270 0.604953i
\(716\) 3.31741 + 2.78364i 0.123977 + 0.104029i
\(717\) −35.5192 12.9279i −1.32649 0.482802i
\(718\) −34.5952 + 12.5916i −1.29108 + 0.469915i
\(719\) 32.4936 27.2653i 1.21180 1.01683i 0.212593 0.977141i \(-0.431809\pi\)
0.999212 0.0396842i \(-0.0126352\pi\)
\(720\) 0.413538 + 2.34529i 0.0154116 + 0.0874037i
\(721\) 44.4222 1.65437
\(722\) 7.61079 17.4091i 0.283244 0.647899i
\(723\) 44.6672 1.66119
\(724\) 0.237758 + 1.34839i 0.00883622 + 0.0501127i
\(725\) −5.82331 + 4.88633i −0.216272 + 0.181474i
\(726\) 6.31523 2.29856i 0.234380 0.0853074i
\(727\) 40.4476 + 14.7217i 1.50012 + 0.545999i 0.956092 0.293068i \(-0.0946761\pi\)
0.544028 + 0.839067i \(0.316898\pi\)
\(728\) −24.7146 20.7380i −0.915984 0.768602i
\(729\) 7.47766 12.9517i 0.276950 0.479692i
\(730\) −1.98852 3.44421i −0.0735983 0.127476i
\(731\) −0.659826 + 3.74206i −0.0244045 + 0.138405i
\(732\) 3.02104 17.1331i 0.111661 0.633259i
\(733\) 15.1979 + 26.3235i 0.561347 + 0.972282i 0.997379 + 0.0723507i \(0.0230501\pi\)
−0.436032 + 0.899931i \(0.643617\pi\)
\(734\) 7.31190 12.6646i 0.269887 0.467458i
\(735\) −30.5200 25.6093i −1.12575 0.944615i
\(736\) −2.49728 0.908934i −0.0920508 0.0335038i
\(737\) −5.13461 + 1.86885i −0.189136 + 0.0688398i
\(738\) 17.0706 14.3239i 0.628378 0.527272i
\(739\) −6.40630 36.3319i −0.235659 1.33649i −0.841221 0.540692i \(-0.818162\pi\)
0.605561 0.795799i \(-0.292949\pi\)
\(740\) −2.06252 −0.0758198
\(741\) 63.5171 + 19.1852i 2.33336 + 0.704787i
\(742\) −20.7592 −0.762095
\(743\) 4.26670 + 24.1976i 0.156530 + 0.887725i 0.957374 + 0.288852i \(0.0932736\pi\)
−0.800844 + 0.598873i \(0.795615\pi\)
\(744\) −9.62352 + 8.07509i −0.352815 + 0.296047i
\(745\) 6.55786 2.38687i 0.240262 0.0874480i
\(746\) −12.7398 4.63691i −0.466438 0.169769i
\(747\) −2.39361 2.00848i −0.0875778 0.0734865i
\(748\) 3.11874 5.40182i 0.114033 0.197510i
\(749\) 14.6711 + 25.4112i 0.536072 + 0.928503i
\(750\) 0.402829 2.28456i 0.0147092 0.0834202i
\(751\) 1.64514 9.33008i 0.0600322 0.340459i −0.939967 0.341264i \(-0.889145\pi\)
1.00000 0.000804564i \(0.000256101\pi\)
\(752\) 1.50250 + 2.60240i 0.0547904 + 0.0948998i
\(753\) −32.2105 + 55.7902i −1.17382 + 2.03311i
\(754\) −38.2113 32.0631i −1.39157 1.16767i
\(755\) 5.35025 + 1.94733i 0.194716 + 0.0708707i
\(756\) 6.62942 2.41291i 0.241110 0.0877568i
\(757\) −5.41985 + 4.54780i −0.196988 + 0.165292i −0.735946 0.677040i \(-0.763262\pi\)
0.538958 + 0.842332i \(0.318818\pi\)
\(758\) −5.25979 29.8298i −0.191044 1.08347i
\(759\) 17.5490 0.636990
\(760\) 0.516628 4.32817i 0.0187401 0.156999i
\(761\) −45.9880 −1.66706 −0.833531 0.552472i \(-0.813684\pi\)
−0.833531 + 0.552472i \(0.813684\pi\)
\(762\) 3.08146 + 17.4758i 0.111629 + 0.633082i
\(763\) 59.6227 50.0293i 2.15849 1.81118i
\(764\) −12.8116 + 4.66302i −0.463506 + 0.168702i
\(765\) 4.90364 + 1.78478i 0.177291 + 0.0645288i
\(766\) 21.9571 + 18.4242i 0.793342 + 0.665693i
\(767\) −3.16472 + 5.48146i −0.114272 + 0.197924i
\(768\) 1.15990 + 2.00901i 0.0418543 + 0.0724937i
\(769\) −7.83899 + 44.4571i −0.282681 + 1.60317i 0.430771 + 0.902461i \(0.358242\pi\)
−0.713452 + 0.700704i \(0.752869\pi\)
\(770\) 2.43036 13.7832i 0.0875839 0.496713i
\(771\) 15.1602 + 26.2582i 0.545981 + 0.945667i
\(772\) 2.60974 4.52019i 0.0939264 0.162685i