Properties

Label 190.2.k.d.131.1
Level $190$
Weight $2$
Character 190.131
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 131.1
Root \(1.15990 - 2.00901i\) of defining polynomial
Character \(\chi\) \(=\) 190.131
Dual form 190.2.k.d.161.1

$q$-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 \(\left(\mathbb{Z}/190\mathbb{Z}\right)^\times\).

\(n\) \(21\) \(77\)
\(\chi(n)\) \(e\left(\frac{5}{9}\right)\) \(1\)

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 −0.0356229 0.999365i \(-0.511342\pi\)
−0.990369 + 0.138456i \(0.955786\pi\)
\(4\) −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 0.784702 + 0.619873i \(0.212816\pi\)
0.144475 + 0.989508i \(0.453851\pi\)
\(8\) 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 −0.996797 0.0799763i \(-0.974516\pi\)
0.567660 + 0.823263i \(0.307849\pi\)
\(12\) 1.15990 + 2.00901i 0.334834 + 0.579950i
\(13\) −5.02662 + 4.21784i −1.39413 + 1.16982i −0.430500 + 0.902590i \(0.641663\pi\)
−0.963634 + 0.267227i \(0.913893\pi\)
\(14\) −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 0.903260 + 0.429094i \(0.141167\pi\)
−0.995545 + 0.0942832i \(0.969944\pi\)
\(18\) −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 0.588989 0.808141i \(-0.299526\pi\)
−0.0682711 + 0.997667i \(0.521748\pi\)
\(24\) −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 −0.820203 0.572072i \(-0.806140\pi\)
0.575079 0.818098i \(-0.304971\pi\)
\(30\) −1.15990 + 2.00901i −0.211768 + 0.366792i
\(31\) 2.70769 + 4.68986i 0.486316 + 0.842324i 0.999876 0.0157295i \(-0.00500705\pi\)
−0.513560 + 0.858054i \(0.671674\pi\)
\(32\) −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 −0.120892 0.992666i \(-0.538575\pi\)
−0.998578 + 0.0533193i \(0.983020\pi\)
\(42\) 10.7180 + 3.90103i 1.65382 + 0.601942i
\(43\) −1.62951 + 0.593093i −0.248498 + 0.0904459i −0.463266 0.886219i \(-0.653323\pi\)
0.214768 + 0.976665i \(0.431100\pi\)
\(44\) 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 −0.998923 0.0464056i \(-0.985223\pi\)
0.922809 0.385259i \(-0.125888\pi\)
\(48\) −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 0.599815 0.800139i \(-0.295241\pi\)
−0.0548340 + 0.998495i \(0.517463\pi\)
\(54\) −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 −0.993768 0.111470i \(-0.964444\pi\)
0.971961 + 0.235141i \(0.0755553\pi\)
\(60\) −1.77707 1.49114i −0.229419 0.192505i
\(61\) 7.04727 + 2.56500i 0.902311 + 0.328414i 0.751178 0.660099i \(-0.229486\pi\)
0.151132 + 0.988514i \(0.451708\pi\)
\(62\) −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 0.998376 0.0569765i \(-0.0181460\pi\)
−0.957653 + 0.287924i \(0.907035\pi\)
\(68\) 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 0.0254738 0.999675i \(-0.491891\pi\)
0.662093 + 0.749422i \(0.269668\pi\)
\(72\) 2.23785 + 0.814510i 0.263733 + 0.0959909i
\(73\) −3.04659 2.55639i −0.356576 0.299203i 0.446848 0.894610i \(-0.352546\pi\)
−0.803424 + 0.595407i \(0.796991\pi\)
\(74\) 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 0.986171 + 0.165732i \(0.0529988\pi\)
0.334461 + 0.942409i \(0.391446\pi\)
\(80\) −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 0.899782 0.436340i \(-0.143726\pi\)
−0.827773 + 0.561064i \(0.810392\pi\)
\(84\) −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 −0.965153 0.261685i \(-0.915722\pi\)
0.0901123 + 0.995932i \(0.471277\pi\)
\(90\) 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 −0.961328 0.275408i \(-0.911187\pi\)
0.997547 + 0.0699948i \(0.0222983\pi\)
\(98\) −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 −0.813431 0.581661i \(-0.802403\pi\)
0.431574 + 0.902078i \(0.357959\pi\)
\(102\) 2.54161 + 4.40219i 0.251656 + 0.435882i
\(103\) 4.51744 7.82444i 0.445117 0.770965i −0.552943 0.833219i \(-0.686495\pi\)
0.998060 + 0.0622537i \(0.0198288\pi\)
\(104\) 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 0.684978 0.728564i \(-0.259812\pi\)
−0.973444 + 0.228926i \(0.926478\pi\)
\(108\) 1.09917 0.922316i 0.105768 0.0887499i
\(109\) 14.8753 5.41417i 1.42480 0.518583i 0.489360 0.872082i \(-0.337230\pi\)
0.935435 + 0.353499i \(0.115008\pi\)
\(110\) 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 −0.344644 0.938733i \(-0.612000\pi\)
0.864625 + 0.502418i \(0.167556\pi\)
\(128\) 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 0.700071 + 0.714073i \(0.253152\pi\)
−0.902079 + 0.431571i \(0.857960\pi\)
\(132\) −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 0.615391 0.788222i \(-0.288998\pi\)
−0.0352423 + 0.999379i \(0.511220\pi\)
\(138\) 5.79318 2.10854i 0.493148 0.179491i
\(139\) −1.84752 + 1.55026i −0.156705 + 0.131491i −0.717769 0.696281i \(-0.754837\pi\)
0.561064 + 0.827772i \(0.310392\pi\)
\(140\) 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 0.396983 0.917826i \(-0.370057\pi\)
−0.834946 + 0.550331i \(0.814501\pi\)
\(150\) 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 −0.134985 0.990848i \(-0.543099\pi\)
0.533500 + 0.845800i \(0.320877\pi\)
\(158\) −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 −0.765031 0.643993i \(-0.777276\pi\)
0.940230 + 0.340540i \(0.110610\pi\)
\(164\) 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 0.205934 0.978566i \(-0.433977\pi\)
−0.471256 + 0.881997i \(0.656199\pi\)
\(168\) −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 −0.991588 0.129437i \(-0.958683\pi\)
0.976058 + 0.217512i \(0.0697941\pi\)
\(174\) −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 −0.935529 0.353250i \(-0.885077\pi\)
0.773688 + 0.633567i \(0.218410\pi\)
\(180\) 0.413538 + 2.34529i 0.0308233 + 0.174807i
\(181\) 0.237758 + 1.34839i 0.0176724 + 0.100225i 0.992368 0.123311i \(-0.0393511\pi\)
−0.974696 + 0.223536i \(0.928240\pi\)
\(182\) 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 0.487441 0.873156i \(-0.337931\pi\)
−0.775248 + 0.631657i \(0.782375\pi\)
\(194\) 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 0.810674 0.585498i \(-0.199101\pi\)
−0.912393 + 0.409315i \(0.865768\pi\)
\(198\) 3.38951 5.87080i 0.240882 0.417220i
\(199\) −0.254330 1.44238i −0.0180290 0.102247i 0.974465 0.224538i \(-0.0720872\pi\)
−0.992494 + 0.122290i \(0.960976\pi\)
\(200\) −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 −0.975972 0.217896i \(-0.930081\pi\)
0.991638 + 0.129047i \(0.0411919\pi\)
\(212\) −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 −0.770164 + 0.637846i \(0.779826\pi\)
−0.999979 + 0.00643379i \(0.997952\pi\)
\(224\) −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 −0.960026 0.279911i \(-0.909695\pi\)
−0.555499 + 0.831517i \(0.687473\pi\)
\(234\) 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 −0.472522 0.881319i \(-0.656656\pi\)
0.999506 0.0314439i \(-0.0100106\pi\)
\(240\) 1.15990 + 2.00901i 0.0748712 + 0.129681i
\(241\) −14.7500 + 12.3767i −0.950133 + 0.797256i −0.979320 0.202318i \(-0.935153\pi\)
0.0291873 + 0.999574i \(0.490708\pi\)
\(242\) −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 0.988263 0.152762i \(-0.0488169\pi\)
0.658860 + 0.752266i \(0.271039\pi\)
\(252\) 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 0.970053 + 0.242893i \(0.0780962\pi\)
−0.828478 + 0.560022i \(0.810793\pi\)
\(258\) −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 0.924933 0.380131i \(-0.124121\pi\)
−0.213743 + 0.976890i \(0.568566\pi\)
\(264\) 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 0.999509 0.0313248i \(-0.00997262\pi\)
0.142714 + 0.989764i \(0.454417\pi\)
\(270\) 1.34834 + 0.490754i 0.0820571 + 0.0298663i
\(271\) −8.41094 + 3.06133i −0.510928 + 0.185963i −0.584603 0.811320i \(-0.698750\pi\)
0.0736745 + 0.997282i \(0.476527\pi\)
\(272\) −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 −0.724719 0.689045i \(-0.758030\pi\)
0.959090 + 0.283103i \(0.0913637\pi\)
\(278\) −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 −0.226290 0.974060i \(-0.572660\pi\)
−0.799462 + 0.600717i \(0.794882\pi\)
\(282\) −5.34008 4.48086i −0.317997 0.266831i
\(283\) 1.25513 7.11822i 0.0746100 0.423134i −0.924509 0.381161i \(-0.875524\pi\)
0.999119 0.0419735i \(-0.0133645\pi\)
\(284\) −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 −0.983022 0.183488i \(-0.941261\pi\)
0.650416 + 0.759578i \(0.274595\pi\)
\(294\) 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 0.744414 0.667718i \(-0.232729\pi\)
−0.528308 + 0.849053i \(0.677173\pi\)
\(308\) 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 −0.973818 0.227329i \(-0.927001\pi\)
0.290036 0.957016i \(-0.406333\pi\)
\(312\) 7.61102 13.1827i 0.430889 0.746322i
\(313\) −5.37886 30.5050i −0.304031 1.72424i −0.628031 0.778188i \(-0.716139\pi\)
0.324001 0.946057i \(-0.394972\pi\)
\(314\) 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 −0.779231 0.626737i \(-0.784390\pi\)
0.481903 + 0.876225i \(0.339946\pi\)
\(318\) 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 −0.917718 0.397233i \(-0.869971\pi\)
0.802873 + 0.596151i \(0.203304\pi\)
\(332\) −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 −0.742411 0.669944i \(-0.766318\pi\)
−0.138088 + 0.990420i \(0.544096\pi\)
\(338\) 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 −0.762750 0.646693i \(-0.776151\pi\)
−0.168614 + 0.985682i \(0.553929\pi\)
\(348\) 13.5089 11.3353i 0.724153 0.607637i
\(349\) −12.3704 21.4262i −0.662174 1.14692i −0.980043 0.198784i \(-0.936301\pi\)
0.317870 0.948134i \(-0.397033\pi\)
\(350\) −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 −0.768041 0.640401i \(-0.778768\pi\)
0.938624 + 0.344943i \(0.112102\pi\)
\(354\) 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 0.0646449 + 0.997908i \(0.479409\pi\)
−0.402051 + 0.915617i \(0.631703\pi\)
\(360\) −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 −0.301743 0.953389i \(-0.597569\pi\)
0.886508 + 0.462714i \(0.153124\pi\)
\(368\) 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 0.986423 0.164225i \(-0.0525123\pi\)
−0.635434 + 0.772155i \(0.719179\pi\)
\(374\) 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 −0.123254 0.992375i \(-0.539333\pi\)
−0.998702 + 0.0509425i \(0.983777\pi\)
\(384\) −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 0.962539 + 0.271145i \(0.0874021\pi\)
−0.811754 + 0.584000i \(0.801487\pi\)
\(390\) −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 −0.630322 0.776334i \(-0.717077\pi\)
0.857831 0.513932i \(-0.171812\pi\)
\(398\) 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 0.917454 + 0.397841i \(0.130241\pi\)
−0.998195 + 0.0600607i \(0.980871\pi\)
\(402\) 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 0.981196 + 0.193012i \(0.0618255\pi\)
−0.856009 + 0.516960i \(0.827063\pi\)
\(410\) −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 −0.920580 0.390554i \(-0.872283\pi\)
−0.544478 0.838775i \(-0.683272\pi\)
\(422\) 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 −0.142716 0.989764i \(-0.545584\pi\)
0.949944 + 0.312419i \(0.101139\pi\)
\(432\) −1.34834 + 0.490754i −0.0648718 + 0.0236114i
\(433\) 1.03524 + 0.376798i 0.0497507 + 0.0181078i 0.366776 0.930309i \(-0.380462\pi\)
−0.317025 + 0.948417i \(0.602684\pi\)
\(434\) −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 −0.997284 0.0736582i \(-0.976533\pi\)
0.962333 + 0.271875i \(0.0876437\pi\)
\(440\) −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 −0.494275 0.869305i \(-0.664567\pi\)
0.770269 + 0.637719i \(0.220122\pi\)
\(444\) −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 −0.968202 0.250171i \(-0.919513\pi\)
0.267446 0.963573i \(-0.413820\pi\)
\(450\) −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 0.307554 0.951531i \(-0.400490\pi\)
0.847232 + 0.531223i \(0.178267\pi\)
\(462\) −24.8716 + 20.8698i −1.15713 + 0.970949i
\(463\) 7.86094 + 13.6156i 0.365329 + 0.632768i 0.988829 0.149055i \(-0.0476232\pi\)
−0.623500 + 0.781823i \(0.714290\pi\)
\(464\) 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 −0.775104 0.631833i \(-0.782303\pi\)
0.934736 + 0.355344i \(0.115636\pi\)
\(468\) 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 0.419158 0.907913i \(-0.362325\pi\)
−0.262502 + 0.964931i \(0.584548\pi\)
\(480\) −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 0.999931 + 0.0117346i \(0.00373533\pi\)
−0.489803 + 0.871833i \(0.662931\pi\)
\(488\) 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 0.964066 0.265662i \(-0.0855905\pi\)
−0.0942175 + 0.995552i \(0.530035\pi\)
\(492\) 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 −0.908721 0.417403i \(-0.862940\pi\)
−0.427819 + 0.903864i \(0.640718\pi\)
\(500\) 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 −0.908204 0.418528i \(-0.862546\pi\)
0.710287 0.703912i \(-0.248565\pi\)
\(504\) 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 0.127921 0.991784i \(-0.459170\pi\)
−0.539513 + 0.841977i \(0.681392\pi\)
\(510\) −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 −0.815107 0.579310i \(-0.803322\pi\)
0.909251 + 0.416248i \(0.136655\pi\)
\(522\) 3.14362 + 17.8284i 0.137593 + 0.780327i
\(523\) 4.32437 + 24.5247i 0.189092 + 1.07239i 0.920585 + 0.390543i \(0.127713\pi\)
−0.731493 + 0.681849i \(0.761176\pi\)
\(524\) 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 −0.950664 0.310222i \(-0.899596\pi\)
0.787230 0.616660i \(-0.211515\pi\)
\(542\) −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 0.281823 0.959466i \(-0.409061\pi\)
−0.400844 + 0.916146i \(0.631283\pi\)
\(548\) −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 −0.986809 0.161891i \(-0.948241\pi\)
−0.0119259 + 0.999929i \(0.503796\pi\)
\(558\) −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 0.948653 + 0.316318i \(0.102447\pi\)
−0.200387 + 0.979717i \(0.564220\pi\)
\(564\) 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 0.981890 0.189453i \(-0.0606715\pi\)
−0.655016 + 0.755615i \(0.727338\pi\)
\(578\) −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 0.729337 + 0.684155i \(0.239829\pi\)
−0.919347 + 0.393448i \(0.871282\pi\)
\(588\) −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 0.397918 0.917421i \(-0.369733\pi\)
−0.284884 + 0.958562i \(0.591955\pi\)
\(594\) 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 0.774956 + 0.632015i \(0.217772\pi\)
−0.512059 + 0.858950i \(0.671117\pi\)
\(600\) −1.15990 + 2.00901i −0.0473527 + 0.0820173i
\(601\) 4.84799 + 8.39697i 0.197754 + 0.342520i 0.947800 0.318866i \(-0.103302\pi\)
−0.750046 + 0.661386i \(0.769969\pi\)
\(602\) 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 0.130137 0.991496i \(-0.458458\pi\)
0.737012 + 0.675880i \(0.236236\pi\)
\(614\) −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 −0.934747 0.355313i \(-0.884374\pi\)
0.756851 0.653588i \(-0.226737\pi\)
\(618\) −3.63951 20.6407i −0.146403 0.830291i
\(619\) −7.95778 + 13.7833i −0.319850 + 0.553997i −0.980457 0.196736i \(-0.936966\pi\)
0.660606 + 0.750733i \(0.270299\pi\)
\(620\) 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 0.686841 0.726808i \(-0.258997\pi\)
0.0589675 + 0.998260i \(0.481219\pi\)
\(632\) 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 −0.386685 0.922212i \(-0.626380\pi\)
0.296569 + 0.955012i \(0.404158\pi\)
\(642\) −13.0093 4.73498i −0.513434 0.186875i
\(643\) −5.12827 4.30313i −0.202239 0.169699i 0.536043 0.844191i \(-0.319918\pi\)
−0.738282 + 0.674492i \(0.764363\pi\)
\(644\) 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 0.650668 0.759362i \(-0.274489\pi\)
−0.982961 + 0.183814i \(0.941156\pi\)
\(654\) 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 −0.873616 0.486616i \(-0.838231\pi\)
0.327521 + 0.944844i \(0.393787\pi\)
\(660\) 6.20524 2.25852i 0.241539 0.0879128i
\(661\) −5.11150 1.86043i −0.198814 0.0723625i 0.240694 0.970601i \(-0.422625\pi\)
−0.439508 + 0.898239i \(0.644847\pi\)
\(662\) −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 −0.419313 0.907842i \(-0.637729\pi\)
0.995871 0.0907847i \(-0.0289375\pi\)
\(674\) −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 0.992133 + 0.125189i \(0.0399537\pi\)
−0.387650 + 0.921807i \(0.626713\pi\)
\(678\) 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 0.631113 0.775691i \(-0.282599\pi\)
−0.987325 + 0.158714i \(0.949265\pi\)
\(692\) 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 0.868087 + 0.496412i \(0.165350\pi\)
−0.985518 + 0.169572i \(0.945761\pi\)
\(702\) 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 −0.166106 0.986108i \(-0.553119\pi\)
0.942283 + 0.334818i \(0.108675\pi\)
\(710\) −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 0.999212 + 0.0396842i \(0.0126352\pi\)
0.212593 + 0.977141i \(0.431809\pi\)
\(720\) 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 0.544028 0.839067i \(-0.316898\pi\)
0.956092 + 0.293068i \(0.0946761\pi\)
\(728\) −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 −0.436032 0.899931i \(-0.643617\pi\)
0.997379 0.0723507i \(-0.0230501\pi\)
\(734\) 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 0.605561 + 0.795799i \(0.292949\pi\)
−0.841221 + 0.540692i \(0.818162\pi\)
\(740\) −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 −0.800844 0.598873i \(-0.795615\pi\)
0.957374 0.288852i \(-0.0932736\pi\)
\(744\) −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 1.00000 0.000804564i \(-0.000256101\pi\)
−0.939967 + 0.341264i \(0.889145\pi\)
\(752\) 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 0.538958 0.842332i \(-0.318818\pi\)
−0.735946 + 0.677040i \(0.763262\pi\)
\(758\) −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 −0.713452 0.700704i \(-0.752869\pi\)
0.430771 0.902461i \(-0.358242\pi\)
\(770\) 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
\(773\)