Properties

Label 190.2.k.d.81.3
Level $190$
Weight $2$
Character 190.81
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 81.3
Root \(-1.58985 + 2.75370i\) of defining polynomial
Character \(\chi\) \(=\) 190.81
Dual form 190.2.k.d.61.3

$q$-expansion

\(f(q)\) \(=\) \(q+(0.939693 - 0.342020i) q^{2} +(0.552148 - 3.13139i) q^{3} +(0.766044 - 0.642788i) q^{4} +(0.766044 + 0.642788i) q^{5} +(-0.552148 - 3.13139i) q^{6} +(1.67305 + 2.89781i) q^{7} +(0.500000 - 0.866025i) q^{8} +(-6.68164 - 2.43192i) q^{9} +O(q^{10})\) \(q+(0.939693 - 0.342020i) q^{2} +(0.552148 - 3.13139i) q^{3} +(0.766044 - 0.642788i) q^{4} +(0.766044 + 0.642788i) q^{5} +(-0.552148 - 3.13139i) q^{6} +(1.67305 + 2.89781i) q^{7} +(0.500000 - 0.866025i) q^{8} +(-6.68164 - 2.43192i) q^{9} +(0.939693 + 0.342020i) q^{10} +(-3.09216 + 5.35578i) q^{11} +(-1.58985 - 2.75370i) q^{12} +(-0.128260 - 0.727397i) q^{13} +(2.56327 + 2.15083i) q^{14} +(2.43579 - 2.04387i) q^{15} +(0.173648 - 0.984808i) q^{16} +(-0.815778 + 0.296919i) q^{17} -7.11045 q^{18} +(-2.59916 - 3.49919i) q^{19} +1.00000 q^{20} +(9.99794 - 3.63895i) q^{21} +(-1.07390 + 6.09037i) q^{22} +(-0.875950 + 0.735009i) q^{23} +(-2.43579 - 2.04387i) q^{24} +(0.173648 + 0.984808i) q^{25} +(-0.369309 - 0.639662i) q^{26} +(-6.53498 + 11.3189i) q^{27} +(3.14431 + 1.14444i) q^{28} +(7.32010 + 2.66430i) q^{29} +(1.58985 - 2.75370i) q^{30} +(-3.23887 - 5.60988i) q^{31} +(-0.173648 - 0.984808i) q^{32} +(15.0637 + 12.6399i) q^{33} +(-0.665029 + 0.558025i) q^{34} +(-0.581045 + 3.29527i) q^{35} +(-6.68164 + 2.43192i) q^{36} +1.68113 q^{37} +(-3.63921 - 2.39920i) q^{38} -2.34858 q^{39} +(0.939693 - 0.342020i) q^{40} +(1.68282 - 9.54373i) q^{41} +(8.15040 - 6.83899i) q^{42} +(1.42354 + 1.19449i) q^{43} +(1.07390 + 6.09037i) q^{44} +(-3.55522 - 6.15783i) q^{45} +(-0.571736 + 0.990275i) q^{46} +(-0.311691 - 0.113446i) q^{47} +(-2.98793 - 1.08752i) q^{48} +(-2.09821 + 3.63420i) q^{49} +(0.500000 + 0.866025i) q^{50} +(0.479338 + 2.71846i) q^{51} +(-0.565815 - 0.474775i) q^{52} +(-5.44265 + 4.56693i) q^{53} +(-2.26958 + 12.8714i) q^{54} +(-5.81136 + 2.11516i) q^{55} +3.34610 q^{56} +(-12.3925 + 6.20691i) q^{57} +7.78988 q^{58} +(-4.56719 + 1.66232i) q^{59} +(0.552148 - 3.13139i) q^{60} +(5.53664 - 4.64579i) q^{61} +(-4.96223 - 4.16381i) q^{62} +(-4.13149 - 23.4308i) q^{63} +(-0.500000 - 0.866025i) q^{64} +(0.369309 - 0.639662i) q^{65} +(18.4784 + 6.72557i) q^{66} +(-2.74854 - 1.00039i) q^{67} +(-0.434067 + 0.751825i) q^{68} +(1.81794 + 3.14877i) q^{69} +(0.581045 + 3.29527i) q^{70} +(-5.27849 - 4.42918i) q^{71} +(-5.44692 + 4.57051i) q^{72} +(1.35735 - 7.69790i) q^{73} +(1.57975 - 0.574982i) q^{74} +3.17969 q^{75} +(-4.24031 - 1.00983i) q^{76} -20.6934 q^{77} +(-2.20694 + 0.803262i) q^{78} +(-0.399207 + 2.26401i) q^{79} +(0.766044 - 0.642788i) q^{80} +(15.4949 + 13.0018i) q^{81} +(-1.68282 - 9.54373i) q^{82} +(5.72338 + 9.91318i) q^{83} +(5.31979 - 9.21415i) q^{84} +(-0.815778 - 0.296919i) q^{85} +(1.74623 + 0.635576i) q^{86} +(12.3847 - 21.4510i) q^{87} +(3.09216 + 5.35578i) q^{88} +(0.404290 + 2.29284i) q^{89} +(-5.44692 - 4.57051i) q^{90} +(1.89328 - 1.58865i) q^{91} +(-0.198562 + 1.12610i) q^{92} +(-19.3550 + 7.04466i) q^{93} -0.331695 q^{94} +(0.258165 - 4.35125i) q^{95} -3.17969 q^{96} +(6.43131 - 2.34081i) q^{97} +(-0.728700 + 4.13266i) q^{98} +(33.6855 - 28.2655i) 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 \(\left(\mathbb{Z}/190\mathbb{Z}\right)^\times\).

\(n\) \(21\) \(77\)
\(\chi(n)\) \(e\left(\frac{8}{9}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.939693 0.342020i 0.664463 0.241845i
\(3\) 0.552148 3.13139i 0.318783 1.80791i −0.231396 0.972860i \(-0.574329\pi\)
0.550178 0.835047i \(-0.314560\pi\)
\(4\) 0.766044 0.642788i 0.383022 0.321394i
\(5\) 0.766044 + 0.642788i 0.342585 + 0.287463i
\(6\) −0.552148 3.13139i −0.225413 1.27838i
\(7\) 1.67305 + 2.89781i 0.632354 + 1.09527i 0.987069 + 0.160295i \(0.0512447\pi\)
−0.354715 + 0.934975i \(0.615422\pi\)
\(8\) 0.500000 0.866025i 0.176777 0.306186i
\(9\) −6.68164 2.43192i −2.22721 0.810639i
\(10\) 0.939693 + 0.342020i 0.297157 + 0.108156i
\(11\) −3.09216 + 5.35578i −0.932322 + 1.61483i −0.152981 + 0.988229i \(0.548887\pi\)
−0.779341 + 0.626600i \(0.784446\pi\)
\(12\) −1.58985 2.75370i −0.458949 0.794923i
\(13\) −0.128260 0.727397i −0.0355729 0.201744i 0.961842 0.273607i \(-0.0882167\pi\)
−0.997415 + 0.0718630i \(0.977106\pi\)
\(14\) 2.56327 + 2.15083i 0.685061 + 0.574835i
\(15\) 2.43579 2.04387i 0.628917 0.527724i
\(16\) 0.173648 0.984808i 0.0434120 0.246202i
\(17\) −0.815778 + 0.296919i −0.197855 + 0.0720134i −0.439047 0.898464i \(-0.644684\pi\)
0.241192 + 0.970477i \(0.422462\pi\)
\(18\) −7.11045 −1.67595
\(19\) −2.59916 3.49919i −0.596289 0.802770i
\(20\) 1.00000 0.223607
\(21\) 9.99794 3.63895i 2.18173 0.794085i
\(22\) −1.07390 + 6.09037i −0.228956 + 1.29847i
\(23\) −0.875950 + 0.735009i −0.182648 + 0.153260i −0.729528 0.683951i \(-0.760260\pi\)
0.546879 + 0.837211i \(0.315816\pi\)
\(24\) −2.43579 2.04387i −0.497203 0.417203i
\(25\) 0.173648 + 0.984808i 0.0347296 + 0.196962i
\(26\) −0.369309 0.639662i −0.0724275 0.125448i
\(27\) −6.53498 + 11.3189i −1.25766 + 2.17833i
\(28\) 3.14431 + 1.14444i 0.594219 + 0.216278i
\(29\) 7.32010 + 2.66430i 1.35931 + 0.494748i 0.915840 0.401543i \(-0.131526\pi\)
0.443468 + 0.896290i \(0.353748\pi\)
\(30\) 1.58985 2.75370i 0.290265 0.502754i
\(31\) −3.23887 5.60988i −0.581718 1.00756i −0.995276 0.0970869i \(-0.969048\pi\)
0.413558 0.910478i \(-0.364286\pi\)
\(32\) −0.173648 0.984808i −0.0306970 0.174091i
\(33\) 15.0637 + 12.6399i 2.62225 + 2.20033i
\(34\) −0.665029 + 0.558025i −0.114051 + 0.0957005i
\(35\) −0.581045 + 3.29527i −0.0982145 + 0.557002i
\(36\) −6.68164 + 2.43192i −1.11361 + 0.405319i
\(37\) 1.68113 0.276377 0.138188 0.990406i \(-0.455872\pi\)
0.138188 + 0.990406i \(0.455872\pi\)
\(38\) −3.63921 2.39920i −0.590357 0.389202i
\(39\) −2.34858 −0.376074
\(40\) 0.939693 0.342020i 0.148578 0.0540781i
\(41\) 1.68282 9.54373i 0.262812 1.49048i −0.512383 0.858757i \(-0.671237\pi\)
0.775194 0.631723i \(-0.217652\pi\)
\(42\) 8.15040 6.83899i 1.25763 1.05528i
\(43\) 1.42354 + 1.19449i 0.217088 + 0.182158i 0.744846 0.667236i \(-0.232523\pi\)
−0.527758 + 0.849395i \(0.676967\pi\)
\(44\) 1.07390 + 6.09037i 0.161896 + 0.918158i
\(45\) −3.55522 6.15783i −0.529982 0.917955i
\(46\) −0.571736 + 0.990275i −0.0842978 + 0.146008i
\(47\) −0.311691 0.113446i −0.0454649 0.0165479i 0.319188 0.947692i \(-0.396590\pi\)
−0.364652 + 0.931144i \(0.618812\pi\)
\(48\) −2.98793 1.08752i −0.431271 0.156970i
\(49\) −2.09821 + 3.63420i −0.299744 + 0.519172i
\(50\) 0.500000 + 0.866025i 0.0707107 + 0.122474i
\(51\) 0.479338 + 2.71846i 0.0671207 + 0.380661i
\(52\) −0.565815 0.474775i −0.0784644 0.0658394i
\(53\) −5.44265 + 4.56693i −0.747606 + 0.627316i −0.934868 0.354994i \(-0.884483\pi\)
0.187263 + 0.982310i \(0.440038\pi\)
\(54\) −2.26958 + 12.8714i −0.308850 + 1.75158i
\(55\) −5.81136 + 2.11516i −0.783604 + 0.285209i
\(56\) 3.34610 0.447142
\(57\) −12.3925 + 6.20691i −1.64142 + 0.822125i
\(58\) 7.78988 1.02286
\(59\) −4.56719 + 1.66232i −0.594597 + 0.216416i −0.621750 0.783216i \(-0.713578\pi\)
0.0271531 + 0.999631i \(0.491356\pi\)
\(60\) 0.552148 3.13139i 0.0712820 0.404260i
\(61\) 5.53664 4.64579i 0.708894 0.594833i −0.215394 0.976527i \(-0.569104\pi\)
0.924289 + 0.381694i \(0.124659\pi\)
\(62\) −4.96223 4.16381i −0.630204 0.528804i
\(63\) −4.13149 23.4308i −0.520519 2.95201i
\(64\) −0.500000 0.866025i −0.0625000 0.108253i
\(65\) 0.369309 0.639662i 0.0458072 0.0793404i
\(66\) 18.4784 + 6.72557i 2.27453 + 0.827861i
\(67\) −2.74854 1.00039i −0.335787 0.122217i 0.168623 0.985681i \(-0.446068\pi\)
−0.504410 + 0.863464i \(0.668290\pi\)
\(68\) −0.434067 + 0.751825i −0.0526383 + 0.0911722i
\(69\) 1.81794 + 3.14877i 0.218855 + 0.379068i
\(70\) 0.581045 + 3.29527i 0.0694482 + 0.393860i
\(71\) −5.27849 4.42918i −0.626442 0.525647i 0.273379 0.961906i \(-0.411859\pi\)
−0.899821 + 0.436259i \(0.856303\pi\)
\(72\) −5.44692 + 4.57051i −0.641926 + 0.538640i
\(73\) 1.35735 7.69790i 0.158866 0.900972i −0.796301 0.604901i \(-0.793213\pi\)
0.955166 0.296070i \(-0.0956763\pi\)
\(74\) 1.57975 0.574982i 0.183642 0.0668403i
\(75\) 3.17969 0.367159
\(76\) −4.24031 1.00983i −0.486397 0.115835i
\(77\) −20.6934 −2.35823
\(78\) −2.20694 + 0.803262i −0.249887 + 0.0909515i
\(79\) −0.399207 + 2.26401i −0.0449143 + 0.254721i −0.998995 0.0448292i \(-0.985726\pi\)
0.954080 + 0.299551i \(0.0968368\pi\)
\(80\) 0.766044 0.642788i 0.0856464 0.0718658i
\(81\) 15.4949 + 13.0018i 1.72165 + 1.44464i
\(82\) −1.68282 9.54373i −0.185836 1.05393i
\(83\) 5.72338 + 9.91318i 0.628223 + 1.08811i 0.987908 + 0.155040i \(0.0495506\pi\)
−0.359686 + 0.933074i \(0.617116\pi\)
\(84\) 5.31979 9.21415i 0.580437 1.00535i
\(85\) −0.815778 0.296919i −0.0884836 0.0322054i
\(86\) 1.74623 + 0.635576i 0.188301 + 0.0685359i
\(87\) 12.3847 21.4510i 1.32778 2.29978i
\(88\) 3.09216 + 5.35578i 0.329626 + 0.570928i
\(89\) 0.404290 + 2.29284i 0.0428546 + 0.243041i 0.998709 0.0508007i \(-0.0161773\pi\)
−0.955854 + 0.293841i \(0.905066\pi\)
\(90\) −5.44692 4.57051i −0.574156 0.481774i
\(91\) 1.89328 1.58865i 0.198469 0.166535i
\(92\) −0.198562 + 1.12610i −0.0207015 + 0.117404i
\(93\) −19.3550 + 7.04466i −2.00702 + 0.730497i
\(94\) −0.331695 −0.0342117
\(95\) 0.258165 4.35125i 0.0264872 0.446429i
\(96\) −3.17969 −0.324526
\(97\) 6.43131 2.34081i 0.653000 0.237673i 0.00578901 0.999983i \(-0.498157\pi\)
0.647211 + 0.762311i \(0.275935\pi\)
\(98\) −0.728700 + 4.13266i −0.0736098 + 0.417462i
\(99\) 33.6855 28.2655i 3.38552 2.84079i
\(100\) 0.766044 + 0.642788i 0.0766044 + 0.0642788i
\(101\) 1.76892 + 10.0321i 0.176015 + 0.998228i 0.936966 + 0.349420i \(0.113621\pi\)
−0.760952 + 0.648809i \(0.775268\pi\)
\(102\) 1.38020 + 2.39057i 0.136660 + 0.236702i
\(103\) −1.03525 + 1.79310i −0.102006 + 0.176680i −0.912511 0.409052i \(-0.865859\pi\)
0.810505 + 0.585732i \(0.199193\pi\)
\(104\) −0.694074 0.252622i −0.0680596 0.0247717i
\(105\) 9.99794 + 3.63895i 0.975699 + 0.355125i
\(106\) −3.55244 + 6.15300i −0.345043 + 0.597632i
\(107\) 7.31857 + 12.6761i 0.707513 + 1.22545i 0.965777 + 0.259374i \(0.0835164\pi\)
−0.258264 + 0.966075i \(0.583150\pi\)
\(108\) 2.26958 + 12.8714i 0.218390 + 1.23855i
\(109\) −6.66091 5.58917i −0.637999 0.535345i 0.265404 0.964137i \(-0.414495\pi\)
−0.903403 + 0.428792i \(0.858939\pi\)
\(110\) −4.73747 + 3.97521i −0.451700 + 0.379021i
\(111\) 0.928235 5.26428i 0.0881041 0.499663i
\(112\) 3.14431 1.14444i 0.297109 0.108139i
\(113\) 10.8308 1.01888 0.509439 0.860507i \(-0.329853\pi\)
0.509439 + 0.860507i \(0.329853\pi\)
\(114\) −9.52221 + 10.0711i −0.891836 + 0.943240i
\(115\) −1.14347 −0.106629
\(116\) 7.32010 2.66430i 0.679654 0.247374i
\(117\) −0.911985 + 5.17212i −0.0843130 + 0.478163i
\(118\) −3.72320 + 3.12414i −0.342749 + 0.287600i
\(119\) −2.22526 1.86721i −0.203989 0.171167i
\(120\) −0.552148 3.13139i −0.0504040 0.285855i
\(121\) −13.6229 23.5956i −1.23845 2.14506i
\(122\) 3.61379 6.25926i 0.327177 0.566687i
\(123\) −28.9559 10.5391i −2.61087 0.950279i
\(124\) −6.08708 2.21552i −0.546636 0.198959i
\(125\) −0.500000 + 0.866025i −0.0447214 + 0.0774597i
\(126\) −11.8962 20.6047i −1.05979 1.83562i
\(127\) −1.94911 11.0540i −0.172956 0.980880i −0.940477 0.339857i \(-0.889621\pi\)
0.767522 0.641023i \(-0.221490\pi\)
\(128\) −0.766044 0.642788i −0.0677094 0.0568149i
\(129\) 4.52642 3.79812i 0.398529 0.334406i
\(130\) 0.128260 0.727397i 0.0112491 0.0637970i
\(131\) −14.2703 + 5.19396i −1.24680 + 0.453798i −0.879319 0.476233i \(-0.842002\pi\)
−0.367481 + 0.930031i \(0.619780\pi\)
\(132\) 19.6643 1.71155
\(133\) 5.79147 13.3862i 0.502184 1.16073i
\(134\) −2.92493 −0.252676
\(135\) −12.2818 + 4.47019i −1.05704 + 0.384733i
\(136\) −0.150750 + 0.854944i −0.0129267 + 0.0733109i
\(137\) −6.54988 + 5.49600i −0.559594 + 0.469555i −0.878174 0.478341i \(-0.841238\pi\)
0.318580 + 0.947896i \(0.396794\pi\)
\(138\) 2.78525 + 2.33710i 0.237096 + 0.198948i
\(139\) 1.52883 + 8.67044i 0.129674 + 0.735417i 0.978421 + 0.206619i \(0.0662460\pi\)
−0.848748 + 0.528798i \(0.822643\pi\)
\(140\) 1.67305 + 2.89781i 0.141399 + 0.244910i
\(141\) −0.527344 + 0.913387i −0.0444104 + 0.0769210i
\(142\) −6.47503 2.35672i −0.543372 0.197771i
\(143\) 4.29238 + 1.56230i 0.358947 + 0.130646i
\(144\) −3.55522 + 6.15783i −0.296269 + 0.513152i
\(145\) 3.89494 + 6.74624i 0.323457 + 0.560245i
\(146\) −1.35735 7.69790i −0.112335 0.637083i
\(147\) 10.2216 + 8.57692i 0.843061 + 0.707413i
\(148\) 1.28782 1.08061i 0.105858 0.0888258i
\(149\) 0.132240 0.749969i 0.0108335 0.0614398i −0.978912 0.204284i \(-0.934514\pi\)
0.989745 + 0.142844i \(0.0456246\pi\)
\(150\) 2.98793 1.08752i 0.243964 0.0887956i
\(151\) −6.08784 −0.495421 −0.247711 0.968834i \(-0.579678\pi\)
−0.247711 + 0.968834i \(0.579678\pi\)
\(152\) −4.32997 + 0.501343i −0.351207 + 0.0406643i
\(153\) 6.17282 0.499043
\(154\) −19.4454 + 7.07756i −1.56696 + 0.570326i
\(155\) 1.12485 6.37932i 0.0903499 0.512400i
\(156\) −1.79912 + 1.50964i −0.144045 + 0.120868i
\(157\) 18.6728 + 15.6683i 1.49025 + 1.25047i 0.894317 + 0.447434i \(0.147662\pi\)
0.595933 + 0.803034i \(0.296782\pi\)
\(158\) 0.399207 + 2.26401i 0.0317592 + 0.180115i
\(159\) 11.2957 + 19.5647i 0.895804 + 1.55158i
\(160\) 0.500000 0.866025i 0.0395285 0.0684653i
\(161\) −3.59543 1.30863i −0.283360 0.103134i
\(162\) 19.0073 + 6.91809i 1.49335 + 0.543536i
\(163\) 2.15496 3.73250i 0.168789 0.292352i −0.769205 0.639002i \(-0.779348\pi\)
0.937994 + 0.346650i \(0.112681\pi\)
\(164\) −4.84548 8.39261i −0.378368 0.655353i
\(165\) 3.41466 + 19.3655i 0.265831 + 1.50760i
\(166\) 8.76873 + 7.35783i 0.680585 + 0.571079i
\(167\) 3.99229 3.34993i 0.308933 0.259225i −0.475118 0.879922i \(-0.657595\pi\)
0.784051 + 0.620697i \(0.213150\pi\)
\(168\) 1.84754 10.4779i 0.142541 0.808391i
\(169\) 11.7033 4.25967i 0.900258 0.327667i
\(170\) −0.868133 −0.0665828
\(171\) 8.85690 + 29.7013i 0.677304 + 2.27131i
\(172\) 1.85830 0.141694
\(173\) −6.61144 + 2.40637i −0.502658 + 0.182953i −0.580889 0.813983i \(-0.697295\pi\)
0.0782309 + 0.996935i \(0.475073\pi\)
\(174\) 4.30117 24.3931i 0.326071 1.84924i
\(175\) −2.56327 + 2.15083i −0.193765 + 0.162588i
\(176\) 4.73747 + 3.97521i 0.357100 + 0.299642i
\(177\) 2.68360 + 15.2195i 0.201712 + 1.14397i
\(178\) 1.16411 + 2.01629i 0.0872534 + 0.151127i
\(179\) −1.59972 + 2.77080i −0.119569 + 0.207099i −0.919597 0.392863i \(-0.871485\pi\)
0.800028 + 0.599963i \(0.204818\pi\)
\(180\) −6.68164 2.43192i −0.498020 0.181264i
\(181\) 4.44963 + 1.61953i 0.330738 + 0.120379i 0.502052 0.864838i \(-0.332579\pi\)
−0.171313 + 0.985217i \(0.554801\pi\)
\(182\) 1.23575 2.14038i 0.0915997 0.158655i
\(183\) −11.4907 19.9025i −0.849419 1.47124i
\(184\) 0.198562 + 1.12610i 0.0146382 + 0.0830172i
\(185\) 1.28782 + 1.08061i 0.0946826 + 0.0794482i
\(186\) −15.7784 + 13.2396i −1.15693 + 0.970777i
\(187\) 0.932285 5.28725i 0.0681754 0.386642i
\(188\) −0.311691 + 0.113446i −0.0227324 + 0.00827393i
\(189\) −43.7335 −3.18114
\(190\) −1.24562 4.17713i −0.0903666 0.303041i
\(191\) −18.4307 −1.33360 −0.666800 0.745237i \(-0.732336\pi\)
−0.666800 + 0.745237i \(0.732336\pi\)
\(192\) −2.98793 + 1.08752i −0.215636 + 0.0784849i
\(193\) −2.35285 + 13.3437i −0.169362 + 0.960501i 0.775090 + 0.631851i \(0.217705\pi\)
−0.944452 + 0.328649i \(0.893407\pi\)
\(194\) 5.24285 4.39927i 0.376415 0.315849i
\(195\) −1.79912 1.50964i −0.128837 0.108107i
\(196\) 0.728700 + 4.13266i 0.0520500 + 0.295190i
\(197\) −4.09550 7.09361i −0.291792 0.505399i 0.682441 0.730940i \(-0.260918\pi\)
−0.974234 + 0.225541i \(0.927585\pi\)
\(198\) 21.9867 38.0820i 1.56252 2.70637i
\(199\) −5.58408 2.03244i −0.395845 0.144076i 0.136425 0.990650i \(-0.456439\pi\)
−0.532270 + 0.846575i \(0.678661\pi\)
\(200\) 0.939693 + 0.342020i 0.0664463 + 0.0241845i
\(201\) −4.65019 + 8.05437i −0.327999 + 0.568112i
\(202\) 5.09342 + 8.82205i 0.358371 + 0.620718i
\(203\) 4.52627 + 25.6698i 0.317682 + 1.80166i
\(204\) 2.11459 + 1.77435i 0.148051 + 0.124229i
\(205\) 7.42370 6.22923i 0.518494 0.435068i
\(206\) −0.359538 + 2.03904i −0.0250502 + 0.142067i
\(207\) 7.64026 2.78083i 0.531035 0.193281i
\(208\) −0.738619 −0.0512140
\(209\) 26.7779 3.10047i 1.85227 0.214464i
\(210\) 10.6396 0.734201
\(211\) 1.63846 0.596352i 0.112796 0.0410545i −0.285005 0.958526i \(-0.591995\pi\)
0.397802 + 0.917471i \(0.369773\pi\)
\(212\) −1.23375 + 6.99694i −0.0847342 + 0.480552i
\(213\) −16.7840 + 14.0834i −1.15002 + 0.964981i
\(214\) 11.2127 + 9.40858i 0.766485 + 0.643157i
\(215\) 0.322690 + 1.83007i 0.0220073 + 0.124810i
\(216\) 6.53498 + 11.3189i 0.444649 + 0.770155i
\(217\) 10.8376 18.7713i 0.735703 1.27428i
\(218\) −8.17082 2.97393i −0.553397 0.201420i
\(219\) −23.3557 8.50076i −1.57823 0.574428i
\(220\) −3.09216 + 5.35578i −0.208474 + 0.361087i
\(221\) 0.320610 + 0.555312i 0.0215665 + 0.0373543i
\(222\) −0.928235 5.26428i −0.0622990 0.353315i
\(223\) 20.2549 + 16.9959i 1.35637 + 1.13813i 0.977085 + 0.212848i \(0.0682739\pi\)
0.379283 + 0.925281i \(0.376171\pi\)
\(224\) 2.56327 2.15083i 0.171265 0.143709i
\(225\) 1.23472 7.00242i 0.0823144 0.466828i
\(226\) 10.1777 3.70436i 0.677007 0.246411i
\(227\) −27.4472 −1.82174 −0.910869 0.412697i \(-0.864587\pi\)
−0.910869 + 0.412697i \(0.864587\pi\)
\(228\) −5.50345 + 12.7205i −0.364475 + 0.842434i
\(229\) −11.5722 −0.764711 −0.382355 0.924015i \(-0.624887\pi\)
−0.382355 + 0.924015i \(0.624887\pi\)
\(230\) −1.07451 + 0.391090i −0.0708512 + 0.0257877i
\(231\) −11.4258 + 64.7990i −0.751764 + 4.26346i
\(232\) 5.96740 5.00724i 0.391779 0.328741i
\(233\) 9.84970 + 8.26488i 0.645275 + 0.541450i 0.905633 0.424062i \(-0.139396\pi\)
−0.260358 + 0.965512i \(0.583841\pi\)
\(234\) 0.911985 + 5.17212i 0.0596183 + 0.338112i
\(235\) −0.165847 0.287256i −0.0108187 0.0187385i
\(236\) −2.43015 + 4.20914i −0.158189 + 0.273992i
\(237\) 6.86908 + 2.50014i 0.446195 + 0.162402i
\(238\) −2.72968 0.993522i −0.176939 0.0644005i
\(239\) 5.65708 9.79836i 0.365926 0.633803i −0.622998 0.782223i \(-0.714086\pi\)
0.988924 + 0.148420i \(0.0474189\pi\)
\(240\) −1.58985 2.75370i −0.102624 0.177750i
\(241\) −4.13196 23.4335i −0.266163 1.50948i −0.765704 0.643193i \(-0.777609\pi\)
0.499541 0.866290i \(-0.333502\pi\)
\(242\) −20.8715 17.5133i −1.34167 1.12580i
\(243\) 19.2325 16.1379i 1.23376 1.03525i
\(244\) 1.25506 7.11777i 0.0803467 0.455669i
\(245\) −3.94334 + 1.43526i −0.251931 + 0.0916954i
\(246\) −30.8143 −1.96465
\(247\) −2.21194 + 2.33943i −0.140742 + 0.148854i
\(248\) −6.47773 −0.411337
\(249\) 34.2022 12.4486i 2.16747 0.788896i
\(250\) −0.173648 + 0.984808i −0.0109825 + 0.0622847i
\(251\) 19.9736 16.7599i 1.26072 1.05787i 0.265120 0.964215i \(-0.414588\pi\)
0.995604 0.0936578i \(-0.0298560\pi\)
\(252\) −18.2260 15.2934i −1.14813 0.963394i
\(253\) −1.22797 6.96417i −0.0772018 0.437833i
\(254\) −5.61224 9.72069i −0.352143 0.609930i
\(255\) −1.38020 + 2.39057i −0.0864314 + 0.149704i
\(256\) −0.939693 0.342020i −0.0587308 0.0213763i
\(257\) 9.54054 + 3.47247i 0.595122 + 0.216607i 0.621981 0.783032i \(-0.286328\pi\)
−0.0268585 + 0.999639i \(0.508550\pi\)
\(258\) 2.95441 5.11719i 0.183934 0.318582i
\(259\) 2.81263 + 4.87161i 0.174768 + 0.302707i
\(260\) −0.128260 0.727397i −0.00795433 0.0451113i
\(261\) −42.4309 35.6037i −2.62641 2.20382i
\(262\) −11.6332 + 9.76144i −0.718704 + 0.603064i
\(263\) 2.97399 16.8663i 0.183384 1.04002i −0.744630 0.667477i \(-0.767374\pi\)
0.928014 0.372545i \(-0.121515\pi\)
\(264\) 18.4784 6.72557i 1.13726 0.413930i
\(265\) −7.10488 −0.436449
\(266\) 0.863848 14.5597i 0.0529659 0.892714i
\(267\) 7.40300 0.453056
\(268\) −2.74854 + 1.00039i −0.167894 + 0.0611083i
\(269\) 3.96080 22.4628i 0.241495 1.36958i −0.587000 0.809587i \(-0.699691\pi\)
0.828495 0.559997i \(-0.189198\pi\)
\(270\) −10.0122 + 8.40121i −0.609322 + 0.511281i
\(271\) 13.6282 + 11.4354i 0.827852 + 0.694650i 0.954797 0.297260i \(-0.0960727\pi\)
−0.126945 + 0.991910i \(0.540517\pi\)
\(272\) 0.150750 + 0.854944i 0.00914054 + 0.0518386i
\(273\) −3.92930 6.80574i −0.237812 0.411902i
\(274\) −4.27513 + 7.40475i −0.258270 + 0.447337i
\(275\) −5.81136 2.11516i −0.350438 0.127549i
\(276\) 3.41662 + 1.24355i 0.205656 + 0.0748527i
\(277\) 10.4365 18.0765i 0.627066 1.08611i −0.361071 0.932538i \(-0.617589\pi\)
0.988137 0.153572i \(-0.0490777\pi\)
\(278\) 4.40210 + 7.62466i 0.264020 + 0.457296i
\(279\) 7.99817 + 45.3598i 0.478838 + 2.71562i
\(280\) 2.56327 + 2.15083i 0.153184 + 0.128537i
\(281\) −20.8354 + 17.4830i −1.24294 + 1.04295i −0.245650 + 0.969359i \(0.579001\pi\)
−0.997289 + 0.0735907i \(0.976554\pi\)
\(282\) −0.183145 + 1.03867i −0.0109061 + 0.0618516i
\(283\) 18.5060 6.73563i 1.10007 0.400392i 0.272726 0.962092i \(-0.412075\pi\)
0.827341 + 0.561700i \(0.189852\pi\)
\(284\) −6.89058 −0.408881
\(285\) −13.4829 3.21095i −0.798658 0.190200i
\(286\) 4.56786 0.270103
\(287\) 30.4714 11.0907i 1.79867 0.654662i
\(288\) −1.23472 + 7.00242i −0.0727564 + 0.412622i
\(289\) −12.4454 + 10.4429i −0.732084 + 0.614291i
\(290\) 5.96740 + 5.00724i 0.350418 + 0.294035i
\(291\) −3.77893 21.4314i −0.221525 1.25633i
\(292\) −3.90833 6.76942i −0.228718 0.396151i
\(293\) 7.38854 12.7973i 0.431643 0.747628i −0.565372 0.824836i \(-0.691267\pi\)
0.997015 + 0.0772085i \(0.0246007\pi\)
\(294\) 12.5386 + 4.56368i 0.731267 + 0.266159i
\(295\) −4.56719 1.66232i −0.265912 0.0967840i
\(296\) 0.840567 1.45590i 0.0488570 0.0846227i
\(297\) −40.4145 69.9999i −2.34508 4.06181i
\(298\) −0.132240 0.749969i −0.00766044 0.0434445i
\(299\) 0.646993 + 0.542892i 0.0374166 + 0.0313962i
\(300\) 2.43579 2.04387i 0.140630 0.118003i
\(301\) −1.07976 + 6.12360i −0.0622361 + 0.352958i
\(302\) −5.72070 + 2.08216i −0.329189 + 0.119815i
\(303\) 32.3910 1.86081
\(304\) −3.89737 + 1.95205i −0.223530 + 0.111958i
\(305\) 7.22757 0.413850
\(306\) 5.80055 2.11123i 0.331595 0.120691i
\(307\) −0.736086 + 4.17455i −0.0420106 + 0.238254i −0.998581 0.0532459i \(-0.983043\pi\)
0.956571 + 0.291500i \(0.0941544\pi\)
\(308\) −15.8521 + 13.3015i −0.903255 + 0.757921i
\(309\) 5.04328 + 4.23182i 0.286902 + 0.240740i
\(310\) −1.12485 6.37932i −0.0638870 0.362321i
\(311\) 3.49343 + 6.05079i 0.198094 + 0.343109i 0.947910 0.318537i \(-0.103192\pi\)
−0.749816 + 0.661646i \(0.769858\pi\)
\(312\) −1.17429 + 2.03393i −0.0664811 + 0.115149i
\(313\) 7.16016 + 2.60608i 0.404716 + 0.147305i 0.536354 0.843993i \(-0.319801\pi\)
−0.131638 + 0.991298i \(0.542024\pi\)
\(314\) 22.9056 + 8.33694i 1.29264 + 0.470481i
\(315\) 11.8962 20.6047i 0.670272 1.16095i
\(316\) 1.14947 + 1.99094i 0.0646627 + 0.111999i
\(317\) 2.38566 + 13.5297i 0.133992 + 0.759905i 0.975557 + 0.219749i \(0.0705237\pi\)
−0.841565 + 0.540156i \(0.818365\pi\)
\(318\) 17.3060 + 14.5214i 0.970470 + 0.814321i
\(319\) −36.9043 + 30.9664i −2.06625 + 1.73379i
\(320\) 0.173648 0.984808i 0.00970723 0.0550524i
\(321\) 43.7348 15.9182i 2.44104 0.888466i
\(322\) −3.82618 −0.213224
\(323\) 3.15932 + 2.08283i 0.175789 + 0.115892i
\(324\) 20.2271 1.12373
\(325\) 0.694074 0.252622i 0.0385003 0.0140130i
\(326\) 0.748409 4.24444i 0.0414506 0.235078i
\(327\) −21.1796 + 17.7718i −1.17124 + 0.982785i
\(328\) −7.42370 6.22923i −0.409905 0.343952i
\(329\) −0.192730 1.09302i −0.0106255 0.0602604i
\(330\) 9.83213 + 17.0297i 0.541241 + 0.937456i
\(331\) 3.32212 5.75409i 0.182600 0.316273i −0.760165 0.649730i \(-0.774882\pi\)
0.942765 + 0.333457i \(0.108215\pi\)
\(332\) 10.7564 + 3.91502i 0.590336 + 0.214865i
\(333\) −11.2327 4.08838i −0.615550 0.224042i
\(334\) 2.60578 4.51335i 0.142582 0.246959i
\(335\) −1.46247 2.53307i −0.0799031 0.138396i
\(336\) −1.84754 10.4779i −0.100792 0.571619i
\(337\) −14.1012 11.8323i −0.768139 0.644545i 0.172093 0.985081i \(-0.444947\pi\)
−0.940232 + 0.340536i \(0.889392\pi\)
\(338\) 9.54066 8.00556i 0.518943 0.435445i
\(339\) 5.98022 33.9155i 0.324801 1.84204i
\(340\) −0.815778 + 0.296919i −0.0442418 + 0.0161027i
\(341\) 40.0604 2.16939
\(342\) 18.4812 + 24.8808i 0.999349 + 1.34540i
\(343\) 9.38108 0.506531
\(344\) 1.74623 0.635576i 0.0941504 0.0342680i
\(345\) −0.631365 + 3.58065i −0.0339916 + 0.192776i
\(346\) −5.38969 + 4.52249i −0.289752 + 0.243131i
\(347\) 5.68212 + 4.76787i 0.305032 + 0.255952i 0.782435 0.622732i \(-0.213977\pi\)
−0.477403 + 0.878684i \(0.658422\pi\)
\(348\) −4.30117 24.3931i −0.230567 1.30761i
\(349\) −9.57581 16.5858i −0.512581 0.887817i −0.999894 0.0145891i \(-0.995356\pi\)
0.487312 0.873228i \(-0.337977\pi\)
\(350\) −1.67305 + 2.89781i −0.0894284 + 0.154895i
\(351\) 9.07153 + 3.30177i 0.484202 + 0.176235i
\(352\) 5.81136 + 2.11516i 0.309747 + 0.112739i
\(353\) 0.801691 1.38857i 0.0426697 0.0739061i −0.843902 0.536498i \(-0.819747\pi\)
0.886572 + 0.462592i \(0.153080\pi\)
\(354\) 7.72713 + 13.3838i 0.410692 + 0.711340i
\(355\) −1.19654 6.78590i −0.0635056 0.360158i
\(356\) 1.78351 + 1.49655i 0.0945261 + 0.0793168i
\(357\) −7.07563 + 5.93716i −0.374482 + 0.314228i
\(358\) −0.555577 + 3.15084i −0.0293632 + 0.166527i
\(359\) 20.2961 7.38717i 1.07119 0.389880i 0.254566 0.967055i \(-0.418067\pi\)
0.816620 + 0.577175i \(0.195845\pi\)
\(360\) −7.11045 −0.374754
\(361\) −5.48872 + 18.1899i −0.288880 + 0.957365i
\(362\) 4.73520 0.248876
\(363\) −81.4089 + 29.6304i −4.27286 + 1.55519i
\(364\) 0.429171 2.43395i 0.0224947 0.127574i
\(365\) 5.98791 5.02445i 0.313421 0.262992i
\(366\) −17.6048 14.7722i −0.920219 0.772155i
\(367\) 3.42815 + 19.4420i 0.178948 + 1.01486i 0.933488 + 0.358610i \(0.116749\pi\)
−0.754540 + 0.656255i \(0.772140\pi\)
\(368\) 0.571736 + 0.990275i 0.0298038 + 0.0516217i
\(369\) −34.4535 + 59.6753i −1.79358 + 3.10657i
\(370\) 1.57975 + 0.574982i 0.0821272 + 0.0298919i
\(371\) −22.3399 8.13107i −1.15983 0.422144i
\(372\) −10.2986 + 17.8377i −0.533958 + 0.924842i
\(373\) 11.5800 + 20.0572i 0.599592 + 1.03852i 0.992881 + 0.119109i \(0.0380037\pi\)
−0.393289 + 0.919415i \(0.628663\pi\)
\(374\) −0.932285 5.28725i −0.0482073 0.273397i
\(375\) 2.43579 + 2.04387i 0.125783 + 0.105545i
\(376\) −0.254093 + 0.213209i −0.0131039 + 0.0109954i
\(377\) 0.999129 5.66634i 0.0514578 0.291831i
\(378\) −41.0960 + 14.9577i −2.11375 + 0.769343i
\(379\) −3.52957 −0.181302 −0.0906508 0.995883i \(-0.528895\pi\)
−0.0906508 + 0.995883i \(0.528895\pi\)
\(380\) −2.59916 3.49919i −0.133334 0.179505i
\(381\) −35.6904 −1.82847
\(382\) −17.3192 + 6.30368i −0.886128 + 0.322524i
\(383\) 6.36973 36.1246i 0.325478 1.84588i −0.180815 0.983517i \(-0.557873\pi\)
0.506293 0.862362i \(-0.331015\pi\)
\(384\) −2.43579 + 2.04387i −0.124301 + 0.104301i
\(385\) −15.8521 13.3015i −0.807896 0.677905i
\(386\) 2.35285 + 13.3437i 0.119757 + 0.679176i
\(387\) −6.60667 11.4431i −0.335836 0.581685i
\(388\) 3.42203 5.92713i 0.173727 0.300904i
\(389\) 23.1021 + 8.40847i 1.17132 + 0.426327i 0.853129 0.521699i \(-0.174702\pi\)
0.318193 + 0.948026i \(0.396924\pi\)
\(390\) −2.20694 0.803262i −0.111753 0.0406747i
\(391\) 0.496343 0.859691i 0.0251011 0.0434764i
\(392\) 2.09821 + 3.63420i 0.105976 + 0.183555i
\(393\) 8.38498 + 47.5536i 0.422966 + 2.39876i
\(394\) −6.27467 5.26507i −0.316113 0.265251i
\(395\) −1.76109 + 1.47773i −0.0886101 + 0.0743527i
\(396\) 7.63589 43.3053i 0.383718 2.17617i
\(397\) −19.1282 + 6.96208i −0.960015 + 0.349417i −0.774039 0.633137i \(-0.781767\pi\)
−0.185976 + 0.982554i \(0.559545\pi\)
\(398\) −5.94246 −0.297868
\(399\) −38.7197 25.5265i −1.93841 1.27792i
\(400\) 1.00000 0.0500000
\(401\) −18.9313 + 6.89045i −0.945386 + 0.344092i −0.768291 0.640101i \(-0.778892\pi\)
−0.177096 + 0.984194i \(0.556670\pi\)
\(402\) −1.61500 + 9.15910i −0.0805487 + 0.456814i
\(403\) −3.66520 + 3.07547i −0.182576 + 0.153200i
\(404\) 7.80356 + 6.54797i 0.388242 + 0.325774i
\(405\) 3.51240 + 19.9198i 0.174533 + 0.989825i
\(406\) 13.0329 + 22.5736i 0.646811 + 1.12031i
\(407\) −5.19834 + 9.00379i −0.257672 + 0.446301i
\(408\) 2.59392 + 0.944111i 0.128418 + 0.0467405i
\(409\) −12.1073 4.40670i −0.598668 0.217897i 0.0248698 0.999691i \(-0.492083\pi\)
−0.623537 + 0.781794i \(0.714305\pi\)
\(410\) 4.84548 8.39261i 0.239301 0.414482i
\(411\) 13.5936 + 23.5448i 0.670523 + 1.16138i
\(412\) 0.359538 + 2.03904i 0.0177132 + 0.100456i
\(413\) −12.4582 10.4537i −0.613030 0.514393i
\(414\) 6.22840 5.22625i 0.306109 0.256856i
\(415\) −1.98771 + 11.2729i −0.0975728 + 0.553363i
\(416\) −0.694074 + 0.252622i −0.0340298 + 0.0123858i
\(417\) 27.9946 1.37090
\(418\) 24.1026 12.0721i 1.17890 0.590465i
\(419\) 20.0166 0.977876 0.488938 0.872319i \(-0.337384\pi\)
0.488938 + 0.872319i \(0.337384\pi\)
\(420\) 9.99794 3.63895i 0.487850 0.177563i
\(421\) 1.16311 6.59634i 0.0566867 0.321486i −0.943257 0.332062i \(-0.892256\pi\)
0.999944 + 0.0105764i \(0.00336662\pi\)
\(422\) 1.33569 1.12077i 0.0650202 0.0545585i
\(423\) 1.80672 + 1.51601i 0.0878455 + 0.0737112i
\(424\) 1.23375 + 6.99694i 0.0599161 + 0.339801i
\(425\) −0.434067 0.751825i −0.0210553 0.0364689i
\(426\) −10.9550 + 18.9746i −0.530770 + 0.919321i
\(427\) 22.7257 + 8.27149i 1.09978 + 0.400285i
\(428\) 13.7544 + 5.00620i 0.664845 + 0.241984i
\(429\) 7.26219 12.5785i 0.350622 0.607295i
\(430\) 0.929150 + 1.60933i 0.0448076 + 0.0776090i
\(431\) −4.86528 27.5924i −0.234352 1.32908i −0.843974 0.536385i \(-0.819790\pi\)
0.609621 0.792693i \(-0.291321\pi\)
\(432\) 10.0122 + 8.40121i 0.481711 + 0.404203i
\(433\) −17.3262 + 14.5384i −0.832646 + 0.698673i −0.955897 0.293702i \(-0.905113\pi\)
0.123251 + 0.992376i \(0.460668\pi\)
\(434\) 3.76386 21.3459i 0.180671 1.02464i
\(435\) 23.2757 8.47165i 1.11598 0.406184i
\(436\) −8.69520 −0.416425
\(437\) 4.84868 + 1.15471i 0.231944 + 0.0552373i
\(438\) −24.8546 −1.18760
\(439\) 3.88563 1.41425i 0.185451 0.0674986i −0.247626 0.968856i \(-0.579650\pi\)
0.433076 + 0.901357i \(0.357428\pi\)
\(440\) −1.07390 + 6.09037i −0.0511960 + 0.290347i
\(441\) 22.8575 19.1798i 1.08845 0.913322i
\(442\) 0.491202 + 0.412168i 0.0233641 + 0.0196048i
\(443\) −5.02534 28.5001i −0.238761 1.35408i −0.834547 0.550937i \(-0.814270\pi\)
0.595786 0.803144i \(-0.296841\pi\)
\(444\) −2.67274 4.62933i −0.126843 0.219698i
\(445\) −1.16411 + 2.01629i −0.0551839 + 0.0955814i
\(446\) 24.8463 + 9.04332i 1.17651 + 0.428214i
\(447\) −2.27543 0.828187i −0.107624 0.0391719i
\(448\) 1.67305 2.89781i 0.0790443 0.136909i
\(449\) 2.78070 + 4.81632i 0.131229 + 0.227296i 0.924151 0.382028i \(-0.124774\pi\)
−0.792921 + 0.609324i \(0.791441\pi\)
\(450\) −1.23472 7.00242i −0.0582051 0.330097i
\(451\) 45.9106 + 38.5236i 2.16185 + 1.81400i
\(452\) 8.29690 6.96192i 0.390253 0.327461i
\(453\) −3.36139 + 19.0634i −0.157932 + 0.895676i
\(454\) −25.7920 + 9.38751i −1.21048 + 0.440578i
\(455\) 2.47150 0.115865
\(456\) −0.820886 + 13.8356i −0.0384415 + 0.647913i
\(457\) −3.44090 −0.160959 −0.0804793 0.996756i \(-0.525645\pi\)
−0.0804793 + 0.996756i \(0.525645\pi\)
\(458\) −10.8743 + 3.95792i −0.508122 + 0.184941i
\(459\) 1.97029 11.1741i 0.0919654 0.521562i
\(460\) −0.875950 + 0.735009i −0.0408414 + 0.0342700i
\(461\) −3.88985 3.26397i −0.181169 0.152018i 0.547693 0.836679i \(-0.315506\pi\)
−0.728862 + 0.684661i \(0.759950\pi\)
\(462\) 11.4258 + 64.7990i 0.531577 + 3.01472i
\(463\) 2.56405 + 4.44107i 0.119162 + 0.206394i 0.919436 0.393240i \(-0.128646\pi\)
−0.800274 + 0.599634i \(0.795313\pi\)
\(464\) 3.89494 6.74624i 0.180818 0.313186i
\(465\) −19.3550 7.04466i −0.897569 0.326688i
\(466\) 12.0824 + 4.39765i 0.559708 + 0.203717i
\(467\) −14.8110 + 25.6535i −0.685373 + 1.18710i 0.287947 + 0.957646i \(0.407027\pi\)
−0.973320 + 0.229454i \(0.926306\pi\)
\(468\) 2.62595 + 4.54829i 0.121385 + 0.210245i
\(469\) −1.69952 9.63844i −0.0784764 0.445062i
\(470\) −0.254093 0.213209i −0.0117204 0.00983462i
\(471\) 59.3737 49.8205i 2.73580 2.29561i
\(472\) −0.843982 + 4.78646i −0.0388474 + 0.220315i
\(473\) −10.7993 + 3.93061i −0.496550 + 0.180729i
\(474\) 7.30992 0.335756
\(475\) 2.99469 3.16730i 0.137406 0.145326i
\(476\) −2.90486 −0.133144
\(477\) 47.4722 17.2785i 2.17360 0.791127i
\(478\) 1.96468 11.1423i 0.0898626 0.509636i
\(479\) −28.8677 + 24.2229i −1.31900 + 1.10677i −0.332485 + 0.943109i \(0.607887\pi\)
−0.986516 + 0.163664i \(0.947669\pi\)
\(480\) −2.43579 2.04387i −0.111178 0.0932894i
\(481\) −0.215622 1.22285i −0.00983151 0.0557573i
\(482\) −11.8975 20.6071i −0.541916 0.938626i
\(483\) −6.08303 + 10.5361i −0.276788 + 0.479410i
\(484\) −25.6027 9.31863i −1.16376 0.423574i
\(485\) 6.43131 + 2.34081i 0.292031 + 0.106290i
\(486\) 12.5531 21.7426i 0.569420 0.986264i
\(487\) 8.87714 + 15.3757i 0.402262 + 0.696738i 0.993999 0.109393i \(-0.0348909\pi\)
−0.591737 + 0.806131i \(0.701558\pi\)
\(488\) −1.25506 7.11777i −0.0568137 0.322206i
\(489\) −10.4980 8.80890i −0.474738 0.398352i
\(490\) −3.21464 + 2.69741i −0.145223 + 0.121856i
\(491\) −3.87201 + 21.9592i −0.174741 + 0.991006i 0.763701 + 0.645570i \(0.223380\pi\)
−0.938442 + 0.345436i \(0.887731\pi\)
\(492\) −28.9559 + 10.5391i −1.30543 + 0.475139i
\(493\) −6.76266 −0.304575
\(494\) −1.27841 + 2.95487i −0.0575183 + 0.132946i
\(495\) 43.9733 1.97645
\(496\) −6.08708 + 2.21552i −0.273318 + 0.0994796i
\(497\) 4.00374 22.7063i 0.179592 1.01852i
\(498\) 27.8819 23.3957i 1.24942 1.04838i
\(499\) −14.4603 12.1337i −0.647334 0.543177i 0.258927 0.965897i \(-0.416631\pi\)
−0.906261 + 0.422719i \(0.861076\pi\)
\(500\) 0.173648 + 0.984808i 0.00776578 + 0.0440419i
\(501\) −8.28559 14.3511i −0.370173 0.641158i
\(502\) 13.0369 22.5805i 0.581864 1.00782i
\(503\) −38.3963 13.9751i −1.71201 0.623119i −0.714905 0.699221i \(-0.753530\pi\)
−0.997100 + 0.0761023i \(0.975752\pi\)
\(504\) −22.3575 8.13745i −0.995880 0.362471i
\(505\) −5.09342 + 8.82205i −0.226654 + 0.392576i
\(506\) −3.53580 6.12418i −0.157185 0.272253i
\(507\) −6.87669 38.9997i −0.305405 1.73204i
\(508\) −8.59845 7.21496i −0.381495 0.320112i
\(509\) −10.1977 + 8.55692i −0.452007 + 0.379279i −0.840180 0.542308i \(-0.817551\pi\)
0.388173 + 0.921586i \(0.373106\pi\)
\(510\) −0.479338 + 2.71846i −0.0212254 + 0.120375i
\(511\) 24.5780 8.94566i 1.08727 0.395733i
\(512\) −1.00000 −0.0441942
\(513\) 56.5926 6.55254i 2.49862 0.289302i
\(514\) 10.1528 0.447822
\(515\) −1.94563 + 0.708151i −0.0857347 + 0.0312049i
\(516\) 1.02606 5.81905i 0.0451696 0.256170i
\(517\) 1.57139 1.31856i 0.0691098 0.0579900i
\(518\) 4.30919 + 3.61584i 0.189335 + 0.158871i
\(519\) 3.88477 + 22.0316i 0.170523 + 0.967082i
\(520\) −0.369309 0.639662i −0.0161953 0.0280511i
\(521\) 13.8343 23.9617i 0.606091 1.04978i −0.385787 0.922588i \(-0.626070\pi\)
0.991878 0.127193i \(-0.0405968\pi\)
\(522\) −52.0492 18.9443i −2.27813 0.829172i
\(523\) 1.00974 + 0.367514i 0.0441527 + 0.0160703i 0.364002 0.931398i \(-0.381410\pi\)
−0.319849 + 0.947468i \(0.603632\pi\)
\(524\) −7.59305 + 13.1516i −0.331704 + 0.574528i
\(525\) 5.31979 + 9.21415i 0.232175 + 0.402139i
\(526\) −2.97399 16.8663i −0.129672 0.735407i
\(527\) 4.30788 + 3.61474i 0.187654 + 0.157460i
\(528\) 15.0637 12.6399i 0.655563 0.550083i
\(529\) −3.76686 + 21.3629i −0.163776 + 0.928822i
\(530\) −6.67640 + 2.43001i −0.290004 + 0.105553i
\(531\) 34.5589 1.49973
\(532\) −4.16797 13.9771i −0.180704 0.605985i
\(533\) −7.15792 −0.310044
\(534\) 6.95655 2.53198i 0.301039 0.109569i
\(535\) −2.54171 + 14.4148i −0.109888 + 0.623205i
\(536\) −2.24063 + 1.88011i −0.0967804 + 0.0812084i
\(537\) 7.79316 + 6.53924i 0.336300 + 0.282189i
\(538\) −3.96080 22.4628i −0.170762 0.968442i
\(539\) −12.9760 22.4751i −0.558916 0.968071i
\(540\) −6.53498 + 11.3189i −0.281221 + 0.487089i
\(541\) −14.5180 5.28411i −0.624177 0.227182i 0.0105181 0.999945i \(-0.496652\pi\)
−0.634695 + 0.772763i \(0.718874\pi\)
\(542\) 16.7174 + 6.08464i 0.718074 + 0.261358i
\(543\) 7.52824 13.0393i 0.323068 0.559569i
\(544\) 0.434067 + 0.751825i 0.0186104 + 0.0322342i
\(545\) −1.50991 8.56310i −0.0646772 0.366803i
\(546\) −6.02003 5.05141i −0.257634 0.216180i
\(547\) −25.7407 + 21.5990i −1.10059 + 0.923508i −0.997465 0.0711601i \(-0.977330\pi\)
−0.103129 + 0.994668i \(0.532885\pi\)
\(548\) −1.48474 + 8.42037i −0.0634248 + 0.359700i
\(549\) −48.2920 + 17.5769i −2.06105 + 0.750162i
\(550\) −6.18432 −0.263700
\(551\) −9.70322 32.5394i −0.413371 1.38622i
\(552\) 3.63589 0.154754
\(553\) −7.22858 + 2.63099i −0.307391 + 0.111881i
\(554\) 3.62454 20.5558i 0.153992 0.873333i
\(555\) 4.09488 3.43601i 0.173818 0.145851i
\(556\) 6.74440 + 5.65923i 0.286026 + 0.240005i
\(557\) −2.47429 14.0324i −0.104839 0.594571i −0.991285 0.131739i \(-0.957944\pi\)
0.886446 0.462833i \(-0.153167\pi\)
\(558\) 23.0298 + 39.8888i 0.974929 + 1.68863i
\(559\) 0.686287 1.18868i 0.0290269 0.0502760i
\(560\) 3.14431 + 1.14444i 0.132871 + 0.0483612i
\(561\) −16.0417 5.83869i −0.677280 0.246510i
\(562\) −13.5994 + 23.5548i −0.573655 + 0.993599i
\(563\) −7.38607 12.7930i −0.311286 0.539163i 0.667355 0.744740i \(-0.267426\pi\)
−0.978641 + 0.205577i \(0.934093\pi\)
\(564\) 0.183145 + 1.03867i 0.00771178 + 0.0437357i
\(565\) 8.29690 + 6.96192i 0.349053 + 0.292890i
\(566\) 15.0862 12.6588i 0.634122 0.532091i
\(567\) −11.7529 + 66.6539i −0.493574 + 2.79920i
\(568\) −6.47503 + 2.35672i −0.271686 + 0.0988857i
\(569\) 19.4550 0.815598 0.407799 0.913072i \(-0.366296\pi\)
0.407799 + 0.913072i \(0.366296\pi\)
\(570\) −13.7680 + 1.59412i −0.576677 + 0.0667702i
\(571\) −39.3956 −1.64866 −0.824328 0.566112i \(-0.808447\pi\)
−0.824328 + 0.566112i \(0.808447\pi\)
\(572\) 4.29238 1.56230i 0.179473 0.0653230i
\(573\) −10.1765 + 57.7137i −0.425129 + 2.41102i
\(574\) 24.8405 20.8436i 1.03682 0.869997i
\(575\) −0.875950 0.735009i −0.0365296 0.0306520i
\(576\) 1.23472 + 7.00242i 0.0514465 + 0.291768i
\(577\) 7.94763 + 13.7657i 0.330864 + 0.573073i 0.982682 0.185303i \(-0.0593265\pi\)
−0.651818 + 0.758376i \(0.725993\pi\)
\(578\) −8.12317 + 14.0697i −0.337879 + 0.585224i
\(579\) 40.4852 + 14.7354i 1.68251 + 0.612382i
\(580\) 7.32010 + 2.66430i 0.303950 + 0.110629i
\(581\) −19.1510 + 33.1706i −0.794519 + 1.37615i
\(582\) −10.8810 18.8464i −0.451032 0.781210i
\(583\) −7.62990 43.2713i −0.315998 1.79212i
\(584\) −5.98791 5.02445i −0.247781 0.207913i
\(585\) −4.02320 + 3.37586i −0.166339 + 0.139575i
\(586\) 2.56601 14.5526i 0.106001 0.601161i
\(587\) 12.0891 4.40009i 0.498973 0.181611i −0.0802592 0.996774i \(-0.525575\pi\)
0.579232 + 0.815163i \(0.303353\pi\)
\(588\) 13.3433 0.550269
\(589\) −11.2117 + 25.9144i −0.461971 + 1.06778i
\(590\) −4.86030 −0.200095
\(591\) −24.4742 + 8.90787i −1.00673 + 0.366421i
\(592\) 0.291926 1.65559i 0.0119981 0.0680445i
\(593\) 1.66829 1.39986i 0.0685086 0.0574855i −0.607890 0.794021i \(-0.707984\pi\)
0.676399 + 0.736535i \(0.263540\pi\)
\(594\) −61.9185 51.9558i −2.54055 2.13177i
\(595\) −0.504424 2.86073i −0.0206794 0.117279i
\(596\) −0.380769 0.659512i −0.0155969 0.0270146i
\(597\) −9.44759 + 16.3637i −0.386664 + 0.669722i
\(598\) 0.793654 + 0.288867i 0.0324549 + 0.0118126i
\(599\) −3.32108 1.20877i −0.135696 0.0493891i 0.273280 0.961935i \(-0.411892\pi\)
−0.408975 + 0.912545i \(0.634114\pi\)
\(600\) 1.58985 2.75370i 0.0649052 0.112419i
\(601\) −11.2019 19.4022i −0.456935 0.791434i 0.541863 0.840467i \(-0.317719\pi\)
−0.998797 + 0.0490333i \(0.984386\pi\)
\(602\) 1.07976 + 6.12360i 0.0440076 + 0.249579i
\(603\) 15.9319 + 13.3684i 0.648796 + 0.544405i
\(604\) −4.66356 + 3.91319i −0.189757 + 0.159225i
\(605\) 4.73119 26.8319i 0.192350 1.09087i
\(606\) 30.4376 11.0784i 1.23644 0.450028i
\(607\) −12.5717 −0.510269 −0.255134 0.966906i \(-0.582120\pi\)
−0.255134 + 0.966906i \(0.582120\pi\)
\(608\) −2.99469 + 3.16730i −0.121451 + 0.128451i
\(609\) 82.8812 3.35851
\(610\) 6.79170 2.47198i 0.274988 0.100087i
\(611\) −0.0425431 + 0.241274i −0.00172111 + 0.00976090i
\(612\) 4.72865 3.96781i 0.191144 0.160389i
\(613\) −35.9199 30.1404i −1.45079 1.21736i −0.932000 0.362458i \(-0.881938\pi\)
−0.518791 0.854901i \(-0.673618\pi\)
\(614\) 0.736086 + 4.17455i 0.0297060 + 0.168471i
\(615\) −15.4071 26.6859i −0.621276 1.07608i
\(616\) −10.3467 + 17.9210i −0.416880 + 0.722058i
\(617\) −0.496525 0.180720i −0.0199893 0.00727553i 0.332006 0.943277i \(-0.392275\pi\)
−0.351995 + 0.936002i \(0.614497\pi\)
\(618\) 6.18650 + 2.25170i 0.248858 + 0.0905768i
\(619\) −10.9317 + 18.9343i −0.439383 + 0.761034i −0.997642 0.0686330i \(-0.978136\pi\)
0.558259 + 0.829667i \(0.311470\pi\)
\(620\) −3.23887 5.60988i −0.130076 0.225298i
\(621\) −2.59520 14.7181i −0.104142 0.590616i
\(622\) 5.35224 + 4.49106i 0.214605 + 0.180075i
\(623\) −5.96783 + 5.00760i −0.239096 + 0.200625i
\(624\) −0.407827 + 2.31290i −0.0163261 + 0.0925901i
\(625\) −0.939693 + 0.342020i −0.0375877 + 0.0136808i
\(626\) 7.61968 0.304544
\(627\) 5.07663 85.5640i 0.202741 3.41710i
\(628\) 24.3756 0.972692
\(629\) −1.37143 + 0.499161i −0.0546826 + 0.0199028i
\(630\) 4.13149 23.4308i 0.164603 0.933507i
\(631\) 23.0776 19.3644i 0.918705 0.770885i −0.0550497 0.998484i \(-0.517532\pi\)
0.973755 + 0.227598i \(0.0730873\pi\)
\(632\) 1.76109 + 1.47773i 0.0700524 + 0.0587810i
\(633\) −0.962734 5.45993i −0.0382652 0.217013i
\(634\) 6.86922 + 11.8978i 0.272812 + 0.472524i
\(635\) 5.61224 9.72069i 0.222715 0.385754i
\(636\) 21.2289 + 7.72669i 0.841781 + 0.306383i
\(637\) 2.91263 + 1.06011i 0.115402 + 0.0420031i
\(638\) −24.0876 + 41.7209i −0.953637 + 1.65175i
\(639\) 24.4976 + 42.4310i 0.969109 + 1.67855i
\(640\) −0.173648 0.984808i −0.00686405 0.0389279i
\(641\) 24.6653 + 20.6967i 0.974223 + 0.817470i 0.983208 0.182490i \(-0.0584156\pi\)
−0.00898505 + 0.999960i \(0.502860\pi\)
\(642\) 35.6530 29.9164i 1.40711 1.18071i
\(643\) −4.44391 + 25.2027i −0.175251 + 0.993896i 0.762604 + 0.646866i \(0.223921\pi\)
−0.937854 + 0.347030i \(0.887190\pi\)
\(644\) −3.59543 + 1.30863i −0.141680 + 0.0515672i
\(645\) 5.90882 0.232660
\(646\) 3.68115 + 0.876666i 0.144833 + 0.0344920i
\(647\) −18.8860 −0.742483 −0.371242 0.928536i \(-0.621068\pi\)
−0.371242 + 0.928536i \(0.621068\pi\)
\(648\) 19.0073 6.91809i 0.746677 0.271768i
\(649\) 5.21946 29.6010i 0.204882 1.16194i
\(650\) 0.565815 0.474775i 0.0221931 0.0186222i
\(651\) −52.7961 44.3012i −2.06924 1.73630i
\(652\) −0.748409 4.24444i −0.0293100 0.166225i
\(653\) −12.4152 21.5038i −0.485846 0.841510i 0.514022 0.857777i \(-0.328155\pi\)
−0.999868 + 0.0162674i \(0.994822\pi\)
\(654\) −13.8240 + 23.9439i −0.540562 + 0.936282i
\(655\) −14.2703 5.19396i −0.557586 0.202945i
\(656\) −9.10652 3.31450i −0.355550 0.129410i
\(657\) −27.7900 + 48.1336i −1.08419 + 1.87787i
\(658\) −0.554943 0.961190i −0.0216339 0.0374711i
\(659\) 5.44946 + 30.9054i 0.212281 + 1.20391i 0.885563 + 0.464519i \(0.153773\pi\)
−0.673282 + 0.739386i \(0.735116\pi\)
\(660\) 15.0637 + 12.6399i 0.586353 + 0.492009i
\(661\) −14.2738 + 11.9771i −0.555186 + 0.465857i −0.876693 0.481051i \(-0.840255\pi\)
0.321506 + 0.946907i \(0.395811\pi\)
\(662\) 1.15376 6.54331i 0.0448422 0.254313i
\(663\) 1.91592 0.697338i 0.0744082 0.0270824i
\(664\) 11.4468 0.444220
\(665\) 13.0410 6.53175i 0.505709 0.253290i
\(666\) −11.9536 −0.463193
\(667\) −8.37032 + 3.04655i −0.324100 + 0.117963i
\(668\) 0.904979 5.13239i 0.0350147 0.198578i
\(669\) 64.4044 54.0417i 2.49002 2.08937i
\(670\) −2.24063 1.88011i −0.0865630 0.0726350i
\(671\) 7.76167 + 44.0186i 0.299636 + 1.69932i
\(672\) −5.31979 9.21415i −0.205215 0.355444i
\(673\) 7.28810 12.6234i 0.280935 0.486594i −0.690680 0.723161i \(-0.742689\pi\)
0.971615 + 0.236566i \(0.0760220\pi\)
\(674\) −17.2976 6.29582i −0.666280 0.242506i
\(675\) −12.2818 4.47019i −0.472725 0.172058i
\(676\) 6.22722 10.7859i 0.239509 0.414841i
\(677\) −1.21821 2.11001i −0.0468197 0.0810941i 0.841666 0.539999i \(-0.181575\pi\)
−0.888486 + 0.458905i \(0.848242\pi\)
\(678\) −5.98022 33.9155i −0.229669 1.30252i
\(679\) 17.5431 + 14.7204i 0.673244 + 0.564918i
\(680\) −0.665029 + 0.558025i −0.0255027 + 0.0213993i
\(681\) −15.1549 + 85.9479i −0.580738 + 3.29353i
\(682\) 37.6445 13.7015i 1.44148 0.524656i
\(683\) 15.0962 0.577639 0.288820 0.957384i \(-0.406737\pi\)
0.288820 + 0.957384i \(0.406737\pi\)
\(684\) 25.8764 + 17.0594i 0.989409 + 0.652282i
\(685\) −8.55026 −0.326689
\(686\) 8.81533 3.20852i 0.336571 0.122502i
\(687\) −6.38955 + 36.2370i −0.243777 + 1.38253i
\(688\) 1.42354 1.19449i 0.0542720 0.0455396i
\(689\) 4.02004 + 3.37322i 0.153151 + 0.128509i
\(690\) 0.631365 + 3.58065i 0.0240357 + 0.136313i
\(691\) 6.12019 + 10.6005i 0.232823 + 0.403261i 0.958638 0.284629i \(-0.0918704\pi\)
−0.725815 + 0.687890i \(0.758537\pi\)
\(692\) −3.51787 + 6.09314i −0.133729 + 0.231626i
\(693\) 138.266 + 50.3246i 5.25228 + 1.91167i
\(694\) 6.97015 + 2.53693i 0.264583 + 0.0963005i
\(695\) −4.40210 + 7.62466i −0.166981 + 0.289220i
\(696\) −12.3847 21.4510i −0.469442 0.813097i
\(697\) 1.46091 + 8.28523i 0.0553359 + 0.313825i
\(698\) −14.6710 12.3104i −0.555305 0.465956i
\(699\) 31.3190 26.2798i 1.18459 0.993992i
\(700\) −0.581045 + 3.29527i −0.0219614 + 0.124549i
\(701\) −41.9967 + 15.2856i −1.58620 + 0.577328i −0.976539 0.215339i \(-0.930914\pi\)
−0.609656 + 0.792666i \(0.708692\pi\)
\(702\) 9.65372 0.364356
\(703\) −4.36954 5.88261i −0.164800 0.221867i
\(704\) 6.18432 0.233080
\(705\) −0.991083 + 0.360725i −0.0373263 + 0.0135857i
\(706\) 0.278424 1.57902i 0.0104786 0.0594273i
\(707\) −26.1115 + 21.9102i −0.982026 + 0.824017i
\(708\) 11.8386 + 9.93381i 0.444924 + 0.373335i
\(709\) −2.78707 15.8063i −0.104671 0.593617i −0.991351 0.131235i \(-0.958106\pi\)
0.886681 0.462382i \(-0.153005\pi\)
\(710\) −3.44529 5.96742i −0.129299 0.223953i
\(711\) 8.17325 14.1565i 0.306521 0.530910i
\(712\) 2.18780 + 0.796295i 0.0819914 + 0.0298424i
\(713\) 6.96040 + 2.53338i 0.260669 + 0.0948758i
\(714\) −4.61829 + 7.99911i −0.172835 + 0.299359i
\(715\) 2.28393 + 3.95588i 0.0854141 + 0.147942i
\(716\) 0.555577 + 3.15084i 0.0207629 + 0.117752i
\(717\) −27.5589 23.1247i −1.02921 0.863606i
\(718\) 16.5455 13.8833i 0.617474 0.518122i
\(719\) −0.265213 + 1.50410i −0.00989079 + 0.0560934i −0.989354 0.145531i \(-0.953511\pi\)
0.979463 + 0.201624i \(0.0646221\pi\)
\(720\) −6.68164 + 2.43192i −0.249010 + 0.0906322i
\(721\) −6.92809 −0.258016
\(722\) 1.06362 + 18.9702i 0.0395838 + 0.705998i
\(723\) −75.6608 −2.81385
\(724\) 4.44963 1.61953i 0.165369 0.0601894i
\(725\) −1.35270 + 7.67154i −0.0502380 + 0.284914i
\(726\) −66.3651 + 55.6869i −2.46304 + 2.06674i
\(727\) −29.0850 24.4052i −1.07870 0.905139i −0.0828900 0.996559i \(-0.526415\pi\)
−0.995812 + 0.0914199i \(0.970859\pi\)
\(728\) −0.429171 2.43395i −0.0159061 0.0902081i
\(729\) −9.57428 16.5831i −0.354603 0.614190i
\(730\) 3.90833 6.76942i 0.144654 0.250548i
\(731\) −1.51596 0.551764i −0.0560698 0.0204077i
\(732\) −21.5955 7.86012i −0.798193 0.290519i
\(733\) 16.0110 27.7319i 0.591381 1.02430i −0.402666 0.915347i \(-0.631916\pi\)
0.994047 0.108955i \(-0.0347504\pi\)
\(734\) 9.87097 + 17.0970i 0.364344 + 0.631062i
\(735\) 2.31704 + 13.1406i 0.0854654 + 0.484699i
\(736\) 0.875950 + 0.735009i 0.0322879 + 0.0270928i
\(737\) 13.8568 11.6272i 0.510421 0.428294i
\(738\) −11.9656 + 67.8602i −0.440459 + 2.49797i
\(739\) 36.3892 13.2446i 1.33860 0.487210i 0.429228 0.903196i \(-0.358786\pi\)
0.909371 + 0.415986i \(0.136564\pi\)
\(740\) 1.68113 0.0617997
\(741\) 6.10434 + 8.21814i 0.224249 + 0.301901i
\(742\) −23.7737 −0.872758
\(743\) 29.3436 10.6802i 1.07651 0.391819i 0.257905 0.966170i \(-0.416968\pi\)
0.818609 + 0.574351i \(0.194746\pi\)
\(744\) −3.57667 + 20.2843i −0.131127 + 0.743658i
\(745\) 0.583372 0.489507i 0.0213731 0.0179342i
\(746\) 17.7417 + 14.8870i 0.649568 + 0.545052i
\(747\) −14.1335 80.1551i −0.517118 2.93272i
\(748\) −2.68441 4.64953i −0.0981517 0.170004i
\(749\) −24.4887 + 42.4157i −0.894798 + 1.54984i
\(750\) 2.98793 + 1.08752i 0.109104 + 0.0397106i
\(751\) 32.3847 + 11.7871i 1.18173 + 0.430116i 0.856814 0.515625i \(-0.172440\pi\)
0.324920 + 0.945741i \(0.394663\pi\)
\(752\) −0.165847 + 0.287256i −0.00604784 + 0.0104752i
\(753\) −41.4532 71.7991i −1.51064 2.61650i
\(754\) −0.999129 5.66634i −0.0363861 0.206356i
\(755\) −4.66356 3.91319i −0.169724 0.142416i
\(756\) −33.5018 + 28.1113i −1.21845 + 1.02240i
\(757\) −0.469366 + 2.66191i −0.0170594 + 0.0967487i −0.992149 0.125064i \(-0.960086\pi\)
0.975089 + 0.221813i \(0.0711974\pi\)
\(758\) −3.31671 + 1.20718i −0.120468 + 0.0438468i
\(759\) −22.4855 −0.816173
\(760\) −3.63921 2.39920i −0.132008 0.0870282i
\(761\) 9.19327 0.333256 0.166628 0.986020i \(-0.446712\pi\)
0.166628 + 0.986020i \(0.446712\pi\)
\(762\) −33.5380 + 12.2068i −1.21495 + 0.442207i
\(763\) 5.05230 28.6530i 0.182906 1.03731i
\(764\) −14.1187 + 11.8470i −0.510798 + 0.428611i
\(765\) 4.72865 + 3.96781i 0.170965 + 0.143456i
\(766\) −6.36973 36.1246i −0.230148 1.30523i
\(767\) 1.79495 + 3.10895i 0.0648120 + 0.112258i
\(768\) −1.58985 + 2.75370i −0.0573686 + 0.0993654i
\(769\) −0.0570740 0.0207732i −0.00205814 0.000749102i 0.340991 0.940067i \(-0.389237\pi\)
−0.343049 + 0.939318i \(0.611460\pi\)
\(770\) −19.4454 7.07756i −0.700765 0.255058i
\(771\) 16.1414 27.9578i 0.581320 1.00688i
\(772\) 6.77477 + 11.7343i 0.243829 + 0.422325i