Properties

Label 546.2.cg.b.241.4
Level $546$
Weight $2$
Character 546.241
Analytic conductor $4.360$
Analytic rank $0$
Dimension $40$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 546.cg (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.35983195036\)
Analytic rank: \(0\)
Dimension: \(40\)
Relative dimension: \(10\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 241.4
Character \(\chi\) \(=\) 546.241
Dual form 546.2.cg.b.145.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.707107 - 0.707107i) q^{2} +(-0.866025 + 0.500000i) q^{3} +1.00000i q^{4} +(3.01304 + 0.807342i) q^{5} +(0.965926 + 0.258819i) q^{6} +(2.56888 - 0.633142i) q^{7} +(0.707107 - 0.707107i) q^{8} +(0.500000 - 0.866025i) q^{9} +O(q^{10})\) \(q+(-0.707107 - 0.707107i) q^{2} +(-0.866025 + 0.500000i) q^{3} +1.00000i q^{4} +(3.01304 + 0.807342i) q^{5} +(0.965926 + 0.258819i) q^{6} +(2.56888 - 0.633142i) q^{7} +(0.707107 - 0.707107i) q^{8} +(0.500000 - 0.866025i) q^{9} +(-1.55967 - 2.70142i) q^{10} +(-1.47840 - 0.396136i) q^{11} +(-0.500000 - 0.866025i) q^{12} +(-0.598039 - 3.55561i) q^{13} +(-2.26417 - 1.36877i) q^{14} +(-3.01304 + 0.807342i) q^{15} -1.00000 q^{16} +3.46440 q^{17} +(-0.965926 + 0.258819i) q^{18} +(1.28965 + 4.81303i) q^{19} +(-0.807342 + 3.01304i) q^{20} +(-1.90814 + 1.83276i) q^{21} +(0.765275 + 1.32550i) q^{22} +7.42537i q^{23} +(-0.258819 + 0.965926i) q^{24} +(4.09650 + 2.36511i) q^{25} +(-2.09132 + 2.93707i) q^{26} +1.00000i q^{27} +(0.633142 + 2.56888i) q^{28} +(1.30096 - 2.25333i) q^{29} +(2.70142 + 1.55967i) q^{30} +(-2.72003 - 10.1513i) q^{31} +(0.707107 + 0.707107i) q^{32} +(1.47840 - 0.396136i) q^{33} +(-2.44970 - 2.44970i) q^{34} +(8.25130 + 0.166280i) q^{35} +(0.866025 + 0.500000i) q^{36} +(3.34550 - 3.34550i) q^{37} +(2.49141 - 4.31525i) q^{38} +(2.29572 + 2.78023i) q^{39} +(2.70142 - 1.55967i) q^{40} +(-0.819786 - 3.05948i) q^{41} +(2.64521 + 0.0533064i) q^{42} +(6.51981 - 3.76421i) q^{43} +(0.396136 - 1.47840i) q^{44} +(2.20570 - 2.20570i) q^{45} +(5.25053 - 5.25053i) q^{46} +(-2.52616 + 9.42774i) q^{47} +(0.866025 - 0.500000i) q^{48} +(6.19826 - 3.25293i) q^{49} +(-1.22427 - 4.56905i) q^{50} +(-3.00026 + 1.73220i) q^{51} +(3.55561 - 0.598039i) q^{52} +(-3.34211 + 5.78870i) q^{53} +(0.707107 - 0.707107i) q^{54} +(-4.13466 - 2.38715i) q^{55} +(1.36877 - 2.26417i) q^{56} +(-3.52339 - 3.52339i) q^{57} +(-2.51326 + 0.673426i) q^{58} +(6.02046 + 6.02046i) q^{59} +(-0.807342 - 3.01304i) q^{60} +(6.60836 + 3.81534i) q^{61} +(-5.25469 + 9.10138i) q^{62} +(0.736122 - 2.54128i) q^{63} -1.00000i q^{64} +(1.06868 - 11.1960i) q^{65} +(-1.32550 - 0.765275i) q^{66} +(0.779022 - 2.90735i) q^{67} +3.46440i q^{68} +(-3.71268 - 6.43056i) q^{69} +(-5.71697 - 5.95213i) q^{70} +(0.689184 - 2.57207i) q^{71} +(-0.258819 - 0.965926i) q^{72} +(-6.59087 + 1.76602i) q^{73} -4.73126 q^{74} -4.73023 q^{75} +(-4.81303 + 1.28965i) q^{76} +(-4.04863 - 0.0815882i) q^{77} +(0.342598 - 3.58924i) q^{78} +(7.33360 + 12.7022i) q^{79} +(-3.01304 - 0.807342i) q^{80} +(-0.500000 - 0.866025i) q^{81} +(-1.58370 + 2.74306i) q^{82} +(-5.39273 + 5.39273i) q^{83} +(-1.83276 - 1.90814i) q^{84} +(10.4384 + 2.79696i) q^{85} +(-7.27190 - 1.94850i) q^{86} +2.60192i q^{87} +(-1.32550 + 0.765275i) q^{88} +(-5.62087 - 5.62087i) q^{89} -3.11933 q^{90} +(-3.78749 - 8.75528i) q^{91} -7.42537 q^{92} +(7.43125 + 7.43125i) q^{93} +(8.45268 - 4.88016i) q^{94} +15.5431i q^{95} +(-0.965926 - 0.258819i) q^{96} +(-4.27487 - 1.14545i) q^{97} +(-6.68300 - 2.08267i) q^{98} +(-1.08226 + 1.08226i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 40q + 4q^{7} + 20q^{9} + O(q^{10}) \) \( 40q + 4q^{7} + 20q^{9} + 8q^{11} - 20q^{12} + 4q^{14} - 40q^{16} + 16q^{17} + 4q^{19} + 4q^{21} - 4q^{22} - 24q^{25} + 8q^{26} - 4q^{28} - 12q^{29} - 8q^{33} - 8q^{34} - 32q^{35} + 40q^{37} + 8q^{38} + 20q^{39} + 20q^{41} + 12q^{42} - 24q^{43} - 4q^{44} + 32q^{46} + 4q^{47} + 32q^{49} - 16q^{50} + 24q^{51} + 16q^{52} - 4q^{53} + 24q^{55} + 12q^{56} + 8q^{57} + 12q^{58} + 24q^{59} + 60q^{61} + 32q^{62} - 4q^{63} + 44q^{65} - 12q^{67} - 8q^{69} - 24q^{70} - 28q^{71} + 60q^{73} - 40q^{74} - 72q^{75} + 4q^{76} - 12q^{77} + 4q^{78} - 20q^{81} - 24q^{82} + 60q^{83} - 8q^{84} - 4q^{85} - 20q^{86} - 36q^{89} - 16q^{92} - 24q^{93} - 48q^{97} - 88q^{98} + 4q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).

\(n\) \(157\) \(365\) \(379\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\) \(1\) \(e\left(\frac{11}{12}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.707107 0.707107i −0.500000 0.500000i
\(3\) −0.866025 + 0.500000i −0.500000 + 0.288675i
\(4\) 1.00000i 0.500000i
\(5\) 3.01304 + 0.807342i 1.34747 + 0.361054i 0.859202 0.511637i \(-0.170961\pi\)
0.488272 + 0.872692i \(0.337627\pi\)
\(6\) 0.965926 + 0.258819i 0.394338 + 0.105662i
\(7\) 2.56888 0.633142i 0.970944 0.239305i
\(8\) 0.707107 0.707107i 0.250000 0.250000i
\(9\) 0.500000 0.866025i 0.166667 0.288675i
\(10\) −1.55967 2.70142i −0.493210 0.854264i
\(11\) −1.47840 0.396136i −0.445754 0.119439i 0.0289580 0.999581i \(-0.490781\pi\)
−0.474712 + 0.880141i \(0.657448\pi\)
\(12\) −0.500000 0.866025i −0.144338 0.250000i
\(13\) −0.598039 3.55561i −0.165866 0.986148i
\(14\) −2.26417 1.36877i −0.605125 0.365820i
\(15\) −3.01304 + 0.807342i −0.777964 + 0.208455i
\(16\) −1.00000 −0.250000
\(17\) 3.46440 0.840241 0.420120 0.907468i \(-0.361988\pi\)
0.420120 + 0.907468i \(0.361988\pi\)
\(18\) −0.965926 + 0.258819i −0.227671 + 0.0610042i
\(19\) 1.28965 + 4.81303i 0.295866 + 1.10419i 0.940527 + 0.339718i \(0.110332\pi\)
−0.644662 + 0.764468i \(0.723002\pi\)
\(20\) −0.807342 + 3.01304i −0.180527 + 0.673737i
\(21\) −1.90814 + 1.83276i −0.416391 + 0.399940i
\(22\) 0.765275 + 1.32550i 0.163157 + 0.282597i
\(23\) 7.42537i 1.54830i 0.633004 + 0.774148i \(0.281821\pi\)
−0.633004 + 0.774148i \(0.718179\pi\)
\(24\) −0.258819 + 0.965926i −0.0528312 + 0.197169i
\(25\) 4.09650 + 2.36511i 0.819299 + 0.473023i
\(26\) −2.09132 + 2.93707i −0.410141 + 0.576007i
\(27\) 1.00000i 0.192450i
\(28\) 0.633142 + 2.56888i 0.119653 + 0.485472i
\(29\) 1.30096 2.25333i 0.241582 0.418432i −0.719583 0.694406i \(-0.755667\pi\)
0.961165 + 0.275974i \(0.0890004\pi\)
\(30\) 2.70142 + 1.55967i 0.493210 + 0.284755i
\(31\) −2.72003 10.1513i −0.488531 1.82322i −0.563604 0.826045i \(-0.690586\pi\)
0.0750732 0.997178i \(-0.476081\pi\)
\(32\) 0.707107 + 0.707107i 0.125000 + 0.125000i
\(33\) 1.47840 0.396136i 0.257356 0.0689584i
\(34\) −2.44970 2.44970i −0.420120 0.420120i
\(35\) 8.25130 + 0.166280i 1.39472 + 0.0281065i
\(36\) 0.866025 + 0.500000i 0.144338 + 0.0833333i
\(37\) 3.34550 3.34550i 0.549997 0.549997i −0.376442 0.926440i \(-0.622853\pi\)
0.926440 + 0.376442i \(0.122853\pi\)
\(38\) 2.49141 4.31525i 0.404160 0.700026i
\(39\) 2.29572 + 2.78023i 0.367610 + 0.445193i
\(40\) 2.70142 1.55967i 0.427132 0.246605i
\(41\) −0.819786 3.05948i −0.128029 0.477811i 0.871900 0.489683i \(-0.162888\pi\)
−0.999930 + 0.0118723i \(0.996221\pi\)
\(42\) 2.64521 + 0.0533064i 0.408165 + 0.00822536i
\(43\) 6.51981 3.76421i 0.994261 0.574037i 0.0877159 0.996146i \(-0.472043\pi\)
0.906545 + 0.422109i \(0.138710\pi\)
\(44\) 0.396136 1.47840i 0.0597197 0.222877i
\(45\) 2.20570 2.20570i 0.328806 0.328806i
\(46\) 5.25053 5.25053i 0.774148 0.774148i
\(47\) −2.52616 + 9.42774i −0.368478 + 1.37518i 0.494167 + 0.869367i \(0.335473\pi\)
−0.862645 + 0.505810i \(0.831194\pi\)
\(48\) 0.866025 0.500000i 0.125000 0.0721688i
\(49\) 6.19826 3.25293i 0.885466 0.464704i
\(50\) −1.22427 4.56905i −0.173138 0.646161i
\(51\) −3.00026 + 1.73220i −0.420120 + 0.242557i
\(52\) 3.55561 0.598039i 0.493074 0.0829330i
\(53\) −3.34211 + 5.78870i −0.459074 + 0.795140i −0.998912 0.0466291i \(-0.985152\pi\)
0.539838 + 0.841769i \(0.318485\pi\)
\(54\) 0.707107 0.707107i 0.0962250 0.0962250i
\(55\) −4.13466 2.38715i −0.557517 0.321883i
\(56\) 1.36877 2.26417i 0.182910 0.302562i
\(57\) −3.52339 3.52339i −0.466684 0.466684i
\(58\) −2.51326 + 0.673426i −0.330007 + 0.0884252i
\(59\) 6.02046 + 6.02046i 0.783797 + 0.783797i 0.980469 0.196672i \(-0.0630134\pi\)
−0.196672 + 0.980469i \(0.563013\pi\)
\(60\) −0.807342 3.01304i −0.104227 0.388982i
\(61\) 6.60836 + 3.81534i 0.846113 + 0.488504i 0.859338 0.511409i \(-0.170876\pi\)
−0.0132242 + 0.999913i \(0.504210\pi\)
\(62\) −5.25469 + 9.10138i −0.667346 + 1.15588i
\(63\) 0.736122 2.54128i 0.0927426 0.320172i
\(64\) 1.00000i 0.125000i
\(65\) 1.06868 11.1960i 0.132553 1.38870i
\(66\) −1.32550 0.765275i −0.163157 0.0941989i
\(67\) 0.779022 2.90735i 0.0951727 0.355189i −0.901873 0.432002i \(-0.857808\pi\)
0.997046 + 0.0768122i \(0.0244742\pi\)
\(68\) 3.46440i 0.420120i
\(69\) −3.71268 6.43056i −0.446955 0.774148i
\(70\) −5.71697 5.95213i −0.683309 0.711415i
\(71\) 0.689184 2.57207i 0.0817911 0.305248i −0.912896 0.408192i \(-0.866159\pi\)
0.994687 + 0.102944i \(0.0328261\pi\)
\(72\) −0.258819 0.965926i −0.0305021 0.113835i
\(73\) −6.59087 + 1.76602i −0.771403 + 0.206697i −0.622991 0.782229i \(-0.714083\pi\)
−0.148412 + 0.988926i \(0.547416\pi\)
\(74\) −4.73126 −0.549997
\(75\) −4.73023 −0.546199
\(76\) −4.81303 + 1.28965i −0.552093 + 0.147933i
\(77\) −4.04863 0.0815882i −0.461385 0.00929784i
\(78\) 0.342598 3.58924i 0.0387916 0.406401i
\(79\) 7.33360 + 12.7022i 0.825095 + 1.42911i 0.901847 + 0.432056i \(0.142212\pi\)
−0.0767519 + 0.997050i \(0.524455\pi\)
\(80\) −3.01304 0.807342i −0.336868 0.0902636i
\(81\) −0.500000 0.866025i −0.0555556 0.0962250i
\(82\) −1.58370 + 2.74306i −0.174891 + 0.302920i
\(83\) −5.39273 + 5.39273i −0.591929 + 0.591929i −0.938152 0.346223i \(-0.887464\pi\)
0.346223 + 0.938152i \(0.387464\pi\)
\(84\) −1.83276 1.90814i −0.199970 0.208195i
\(85\) 10.4384 + 2.79696i 1.13220 + 0.303373i
\(86\) −7.27190 1.94850i −0.784149 0.210112i
\(87\) 2.60192i 0.278955i
\(88\) −1.32550 + 0.765275i −0.141298 + 0.0815786i
\(89\) −5.62087 5.62087i −0.595811 0.595811i 0.343384 0.939195i \(-0.388427\pi\)
−0.939195 + 0.343384i \(0.888427\pi\)
\(90\) −3.11933 −0.328806
\(91\) −3.78749 8.75528i −0.397037 0.917803i
\(92\) −7.42537 −0.774148
\(93\) 7.43125 + 7.43125i 0.770585 + 0.770585i
\(94\) 8.45268 4.88016i 0.871828 0.503350i
\(95\) 15.5431i 1.59468i
\(96\) −0.965926 0.258819i −0.0985844 0.0264156i
\(97\) −4.27487 1.14545i −0.434048 0.116303i 0.0351779 0.999381i \(-0.488800\pi\)
−0.469226 + 0.883078i \(0.655467\pi\)
\(98\) −6.68300 2.08267i −0.675085 0.210381i
\(99\) −1.08226 + 1.08226i −0.108771 + 0.108771i
\(100\) −2.36511 + 4.09650i −0.236511 + 0.409650i
\(101\) 4.22380 + 7.31584i 0.420284 + 0.727954i 0.995967 0.0897194i \(-0.0285970\pi\)
−0.575683 + 0.817673i \(0.695264\pi\)
\(102\) 3.34635 + 0.896653i 0.331339 + 0.0887819i
\(103\) −7.73745 13.4017i −0.762394 1.32051i −0.941613 0.336696i \(-0.890690\pi\)
0.179219 0.983809i \(-0.442643\pi\)
\(104\) −2.93707 2.09132i −0.288004 0.205071i
\(105\) −7.22897 + 3.98165i −0.705476 + 0.388569i
\(106\) 6.45646 1.73000i 0.627107 0.168033i
\(107\) −19.7154 −1.90596 −0.952978 0.303041i \(-0.901998\pi\)
−0.952978 + 0.303041i \(0.901998\pi\)
\(108\) −1.00000 −0.0962250
\(109\) 10.3670 2.77782i 0.992976 0.266067i 0.274476 0.961594i \(-0.411496\pi\)
0.718500 + 0.695527i \(0.244829\pi\)
\(110\) 1.23568 + 4.61161i 0.117817 + 0.439700i
\(111\) −1.22454 + 4.57004i −0.116228 + 0.433769i
\(112\) −2.56888 + 0.633142i −0.242736 + 0.0598263i
\(113\) −0.926673 1.60505i −0.0871741 0.150990i 0.819141 0.573592i \(-0.194450\pi\)
−0.906316 + 0.422602i \(0.861117\pi\)
\(114\) 4.98282i 0.466684i
\(115\) −5.99481 + 22.3729i −0.559019 + 2.08629i
\(116\) 2.25333 + 1.30096i 0.209216 + 0.120791i
\(117\) −3.37827 1.25989i −0.312321 0.116477i
\(118\) 8.51422i 0.783797i
\(119\) 8.89962 2.19346i 0.815827 0.201074i
\(120\) −1.55967 + 2.70142i −0.142377 + 0.246605i
\(121\) −7.49754 4.32871i −0.681595 0.393519i
\(122\) −1.97496 7.37066i −0.178805 0.667309i
\(123\) 2.23970 + 2.23970i 0.201947 + 0.201947i
\(124\) 10.1513 2.72003i 0.911611 0.244266i
\(125\) −0.595042 0.595042i −0.0532222 0.0532222i
\(126\) −2.31748 + 1.27644i −0.206457 + 0.113715i
\(127\) −9.01483 5.20472i −0.799937 0.461844i 0.0435122 0.999053i \(-0.486145\pi\)
−0.843449 + 0.537209i \(0.819479\pi\)
\(128\) −0.707107 + 0.707107i −0.0625000 + 0.0625000i
\(129\) −3.76421 + 6.51981i −0.331420 + 0.574037i
\(130\) −8.67245 + 7.16111i −0.760624 + 0.628071i
\(131\) 0.294912 0.170268i 0.0257666 0.0148763i −0.487061 0.873368i \(-0.661931\pi\)
0.512828 + 0.858491i \(0.328598\pi\)
\(132\) 0.396136 + 1.47840i 0.0344792 + 0.128678i
\(133\) 6.36028 + 11.5476i 0.551506 + 1.00130i
\(134\) −2.60666 + 1.50496i −0.225181 + 0.130008i
\(135\) −0.807342 + 3.01304i −0.0694850 + 0.259321i
\(136\) 2.44970 2.44970i 0.210060 0.210060i
\(137\) 11.7225 11.7225i 1.00152 1.00152i 0.00152351 0.999999i \(-0.499515\pi\)
0.999999 0.00152351i \(-0.000484947\pi\)
\(138\) −1.92183 + 7.17236i −0.163597 + 0.610551i
\(139\) −17.9972 + 10.3907i −1.52650 + 0.881327i −0.526999 + 0.849866i \(0.676683\pi\)
−0.999505 + 0.0314614i \(0.989984\pi\)
\(140\) −0.166280 + 8.25130i −0.0140533 + 0.697362i
\(141\) −2.52616 9.42774i −0.212741 0.793959i
\(142\) −2.30605 + 1.33140i −0.193520 + 0.111729i
\(143\) −0.524364 + 5.49351i −0.0438495 + 0.459390i
\(144\) −0.500000 + 0.866025i −0.0416667 + 0.0721688i
\(145\) 5.73905 5.73905i 0.476602 0.476602i
\(146\) 5.90921 + 3.41168i 0.489050 + 0.282353i
\(147\) −3.74139 + 5.91625i −0.308585 + 0.487964i
\(148\) 3.34550 + 3.34550i 0.274999 + 0.274999i
\(149\) 9.43017 2.52681i 0.772550 0.207004i 0.149052 0.988829i \(-0.452378\pi\)
0.623498 + 0.781825i \(0.285711\pi\)
\(150\) 3.34477 + 3.34477i 0.273100 + 0.273100i
\(151\) −2.22644 8.30920i −0.181185 0.676193i −0.995415 0.0956501i \(-0.969507\pi\)
0.814230 0.580543i \(-0.197160\pi\)
\(152\) 4.31525 + 2.49141i 0.350013 + 0.202080i
\(153\) 1.73220 3.00026i 0.140040 0.242557i
\(154\) 2.80513 + 2.92051i 0.226043 + 0.235341i
\(155\) 32.7822i 2.63313i
\(156\) −2.78023 + 2.29572i −0.222596 + 0.183805i
\(157\) −9.91398 5.72384i −0.791222 0.456812i 0.0491707 0.998790i \(-0.484342\pi\)
−0.840392 + 0.541978i \(0.817675\pi\)
\(158\) 3.79615 14.1674i 0.302006 1.12710i
\(159\) 6.68422i 0.530093i
\(160\) 1.55967 + 2.70142i 0.123302 + 0.213566i
\(161\) 4.70131 + 19.0749i 0.370515 + 1.50331i
\(162\) −0.258819 + 0.965926i −0.0203347 + 0.0758903i
\(163\) 1.20844 + 4.50994i 0.0946519 + 0.353246i 0.996966 0.0778325i \(-0.0247999\pi\)
−0.902315 + 0.431078i \(0.858133\pi\)
\(164\) 3.05948 0.819786i 0.238905 0.0640145i
\(165\) 4.77429 0.371678
\(166\) 7.62647 0.591929
\(167\) −13.5903 + 3.64150i −1.05165 + 0.281788i −0.742932 0.669367i \(-0.766566\pi\)
−0.308715 + 0.951155i \(0.599899\pi\)
\(168\) −0.0533064 + 2.64521i −0.00411268 + 0.204083i
\(169\) −12.2847 + 4.25278i −0.944977 + 0.327137i
\(170\) −5.40331 9.35880i −0.414415 0.717787i
\(171\) 4.81303 + 1.28965i 0.368062 + 0.0986219i
\(172\) 3.76421 + 6.51981i 0.287018 + 0.497131i
\(173\) −3.47694 + 6.02223i −0.264347 + 0.457862i −0.967392 0.253283i \(-0.918490\pi\)
0.703046 + 0.711145i \(0.251823\pi\)
\(174\) 1.83983 1.83983i 0.139477 0.139477i
\(175\) 12.0208 + 3.48202i 0.908691 + 0.263216i
\(176\) 1.47840 + 0.396136i 0.111438 + 0.0298598i
\(177\) −8.22410 2.20364i −0.618162 0.165636i
\(178\) 7.94911i 0.595811i
\(179\) −3.56278 + 2.05697i −0.266294 + 0.153745i −0.627202 0.778856i \(-0.715800\pi\)
0.360908 + 0.932601i \(0.382467\pi\)
\(180\) 2.20570 + 2.20570i 0.164403 + 0.164403i
\(181\) −4.55457 −0.338538 −0.169269 0.985570i \(-0.554141\pi\)
−0.169269 + 0.985570i \(0.554141\pi\)
\(182\) −3.51276 + 8.86908i −0.260383 + 0.657420i
\(183\) −7.63067 −0.564076
\(184\) 5.25053 + 5.25053i 0.387074 + 0.387074i
\(185\) 12.7811 7.37918i 0.939686 0.542528i
\(186\) 10.5094i 0.770585i
\(187\) −5.12177 1.37237i −0.374541 0.100358i
\(188\) −9.42774 2.52616i −0.687589 0.184239i
\(189\) 0.633142 + 2.56888i 0.0460543 + 0.186858i
\(190\) 10.9906 10.9906i 0.797342 0.797342i
\(191\) 6.06829 10.5106i 0.439086 0.760519i −0.558533 0.829482i \(-0.688636\pi\)
0.997619 + 0.0689631i \(0.0219691\pi\)
\(192\) 0.500000 + 0.866025i 0.0360844 + 0.0625000i
\(193\) −9.81910 2.63102i −0.706794 0.189385i −0.112522 0.993649i \(-0.535893\pi\)
−0.594272 + 0.804264i \(0.702560\pi\)
\(194\) 2.21284 + 3.83275i 0.158872 + 0.275175i
\(195\) 4.67251 + 10.2304i 0.334605 + 0.732612i
\(196\) 3.25293 + 6.19826i 0.232352 + 0.442733i
\(197\) −5.66778 + 1.51868i −0.403813 + 0.108201i −0.455008 0.890487i \(-0.650364\pi\)
0.0511952 + 0.998689i \(0.483697\pi\)
\(198\) 1.53055 0.108771
\(199\) −11.9801 −0.849245 −0.424623 0.905370i \(-0.639593\pi\)
−0.424623 + 0.905370i \(0.639593\pi\)
\(200\) 4.56905 1.22427i 0.323080 0.0865691i
\(201\) 0.779022 + 2.90735i 0.0549480 + 0.205069i
\(202\) 2.18640 8.15976i 0.153835 0.574119i
\(203\) 1.91533 6.61221i 0.134430 0.464087i
\(204\) −1.73220 3.00026i −0.121278 0.210060i
\(205\) 9.88020i 0.690063i
\(206\) −4.00520 + 14.9476i −0.279056 + 1.04145i
\(207\) 6.43056 + 3.71268i 0.446955 + 0.258049i
\(208\) 0.598039 + 3.55561i 0.0414665 + 0.246537i
\(209\) 7.62646i 0.527533i
\(210\) 7.92711 + 2.29621i 0.547022 + 0.158453i
\(211\) 1.72829 2.99349i 0.118981 0.206080i −0.800383 0.599488i \(-0.795371\pi\)
0.919364 + 0.393408i \(0.128704\pi\)
\(212\) −5.78870 3.34211i −0.397570 0.229537i
\(213\) 0.689184 + 2.57207i 0.0472221 + 0.176235i
\(214\) 13.9409 + 13.9409i 0.952978 + 0.952978i
\(215\) 22.6835 6.07802i 1.54700 0.414517i
\(216\) 0.707107 + 0.707107i 0.0481125 + 0.0481125i
\(217\) −13.4146 24.3552i −0.910643 1.65334i
\(218\) −9.29477 5.36634i −0.629521 0.363454i
\(219\) 4.82485 4.82485i 0.326033 0.326033i
\(220\) 2.38715 4.13466i 0.160941 0.278759i
\(221\) −2.07185 12.3181i −0.139367 0.828602i
\(222\) 4.09739 2.36563i 0.274999 0.158771i
\(223\) 2.65061 + 9.89222i 0.177498 + 0.662432i 0.996113 + 0.0880887i \(0.0280759\pi\)
−0.818614 + 0.574343i \(0.805257\pi\)
\(224\) 2.26417 + 1.36877i 0.151281 + 0.0914549i
\(225\) 4.09650 2.36511i 0.273100 0.157674i
\(226\) −0.479681 + 1.79020i −0.0319079 + 0.119082i
\(227\) −4.59359 + 4.59359i −0.304887 + 0.304887i −0.842922 0.538035i \(-0.819167\pi\)
0.538035 + 0.842922i \(0.319167\pi\)
\(228\) 3.52339 3.52339i 0.233342 0.233342i
\(229\) −6.19109 + 23.1055i −0.409119 + 1.52685i 0.387212 + 0.921991i \(0.373438\pi\)
−0.796331 + 0.604862i \(0.793228\pi\)
\(230\) 20.0590 11.5811i 1.32265 0.763635i
\(231\) 3.54701 1.95366i 0.233376 0.128541i
\(232\) −0.673426 2.51326i −0.0442126 0.165004i
\(233\) 22.0693 12.7417i 1.44581 0.834737i 0.447579 0.894244i \(-0.352286\pi\)
0.998228 + 0.0595070i \(0.0189529\pi\)
\(234\) 1.49792 + 3.27967i 0.0979221 + 0.214399i
\(235\) −15.2228 + 26.3667i −0.993028 + 1.71997i
\(236\) −6.02046 + 6.02046i −0.391899 + 0.391899i
\(237\) −12.7022 7.33360i −0.825095 0.476369i
\(238\) −7.84399 4.74198i −0.508450 0.307377i
\(239\) −8.18763 8.18763i −0.529614 0.529614i 0.390843 0.920457i \(-0.372183\pi\)
−0.920457 + 0.390843i \(0.872183\pi\)
\(240\) 3.01304 0.807342i 0.194491 0.0521137i
\(241\) 4.68689 + 4.68689i 0.301909 + 0.301909i 0.841760 0.539851i \(-0.181520\pi\)
−0.539851 + 0.841760i \(0.681520\pi\)
\(242\) 2.24070 + 8.36242i 0.144038 + 0.537557i
\(243\) 0.866025 + 0.500000i 0.0555556 + 0.0320750i
\(244\) −3.81534 + 6.60836i −0.244252 + 0.423057i
\(245\) 21.3019 4.79709i 1.36093 0.306475i
\(246\) 3.16741i 0.201947i
\(247\) 16.3420 7.46387i 1.03982 0.474914i
\(248\) −9.10138 5.25469i −0.577939 0.333673i
\(249\) 1.97387 7.36660i 0.125089 0.466839i
\(250\) 0.841516i 0.0532222i
\(251\) −11.2754 19.5296i −0.711697 1.23270i −0.964220 0.265105i \(-0.914594\pi\)
0.252523 0.967591i \(-0.418740\pi\)
\(252\) 2.54128 + 0.736122i 0.160086 + 0.0463713i
\(253\) 2.94145 10.9777i 0.184928 0.690159i
\(254\) 2.69416 + 10.0547i 0.169047 + 0.630890i
\(255\) −10.4384 + 2.79696i −0.653677 + 0.175152i
\(256\) 1.00000 0.0625000
\(257\) −19.9240 −1.24283 −0.621414 0.783482i \(-0.713441\pi\)
−0.621414 + 0.783482i \(0.713441\pi\)
\(258\) 7.27190 1.94850i 0.452729 0.121308i
\(259\) 6.47601 10.7124i 0.402400 0.665634i
\(260\) 11.1960 + 1.06868i 0.694348 + 0.0662765i
\(261\) −1.30096 2.25333i −0.0805274 0.139477i
\(262\) −0.328932 0.0881370i −0.0203215 0.00544512i
\(263\) 5.08726 + 8.81139i 0.313694 + 0.543333i 0.979159 0.203095i \(-0.0651002\pi\)
−0.665465 + 0.746429i \(0.731767\pi\)
\(264\) 0.765275 1.32550i 0.0470994 0.0815786i
\(265\) −14.7434 + 14.7434i −0.905679 + 0.905679i
\(266\) 3.66796 12.6628i 0.224897 0.776404i
\(267\) 7.67825 + 2.05738i 0.469901 + 0.125910i
\(268\) 2.90735 + 0.779022i 0.177595 + 0.0475864i
\(269\) 29.4833i 1.79763i 0.438328 + 0.898815i \(0.355571\pi\)
−0.438328 + 0.898815i \(0.644429\pi\)
\(270\) 2.70142 1.55967i 0.164403 0.0949182i
\(271\) 1.90329 + 1.90329i 0.115617 + 0.115617i 0.762548 0.646931i \(-0.223948\pi\)
−0.646931 + 0.762548i \(0.723948\pi\)
\(272\) −3.46440 −0.210060
\(273\) 7.65770 + 5.68855i 0.463465 + 0.344287i
\(274\) −16.5781 −1.00152
\(275\) −5.11935 5.11935i −0.308708 0.308708i
\(276\) 6.43056 3.71268i 0.387074 0.223477i
\(277\) 6.75444i 0.405835i −0.979196 0.202918i \(-0.934958\pi\)
0.979196 0.202918i \(-0.0650423\pi\)
\(278\) 20.0733 + 5.37862i 1.20392 + 0.322588i
\(279\) −10.1513 2.72003i −0.607741 0.162844i
\(280\) 5.95213 5.71697i 0.355708 0.341654i
\(281\) 0.0630402 0.0630402i 0.00376067 0.00376067i −0.705224 0.708985i \(-0.749154\pi\)
0.708985 + 0.705224i \(0.249154\pi\)
\(282\) −4.88016 + 8.45268i −0.290609 + 0.503350i
\(283\) −14.3396 24.8368i −0.852398 1.47640i −0.879038 0.476752i \(-0.841814\pi\)
0.0266392 0.999645i \(-0.491519\pi\)
\(284\) 2.57207 + 0.689184i 0.152624 + 0.0408955i
\(285\) −7.77153 13.4607i −0.460346 0.797342i
\(286\) 4.25528 3.51372i 0.251620 0.207770i
\(287\) −4.04302 7.34039i −0.238652 0.433290i
\(288\) 0.965926 0.258819i 0.0569177 0.0152511i
\(289\) −4.99792 −0.293995
\(290\) −8.11625 −0.476602
\(291\) 4.27487 1.14545i 0.250598 0.0671474i
\(292\) −1.76602 6.59087i −0.103348 0.385701i
\(293\) −3.19461 + 11.9224i −0.186631 + 0.696516i 0.807645 + 0.589670i \(0.200742\pi\)
−0.994276 + 0.106847i \(0.965925\pi\)
\(294\) 6.82898 1.53786i 0.398274 0.0896897i
\(295\) 13.2793 + 23.0005i 0.773153 + 1.33914i
\(296\) 4.73126i 0.274999i
\(297\) 0.396136 1.47840i 0.0229861 0.0857854i
\(298\) −8.45486 4.88142i −0.489777 0.282773i
\(299\) 26.4017 4.44066i 1.52685 0.256810i
\(300\) 4.73023i 0.273100i
\(301\) 14.3653 13.7978i 0.828002 0.795290i
\(302\) −4.30116 + 7.44982i −0.247504 + 0.428689i
\(303\) −7.31584 4.22380i −0.420284 0.242651i
\(304\) −1.28965 4.81303i −0.0739664 0.276046i
\(305\) 16.8310 + 16.8310i 0.963739 + 0.963739i
\(306\) −3.34635 + 0.896653i −0.191298 + 0.0512582i
\(307\) 13.8751 + 13.8751i 0.791896 + 0.791896i 0.981802 0.189906i \(-0.0608184\pi\)
−0.189906 + 0.981802i \(0.560818\pi\)
\(308\) 0.0815882 4.04863i 0.00464892 0.230692i
\(309\) 13.4017 + 7.73745i 0.762394 + 0.440168i
\(310\) −23.1805 + 23.1805i −1.31657 + 1.31657i
\(311\) 13.1243 22.7319i 0.744209 1.28901i −0.206355 0.978477i \(-0.566160\pi\)
0.950564 0.310530i \(-0.100507\pi\)
\(312\) 3.58924 + 0.342598i 0.203201 + 0.0193958i
\(313\) 11.1431 6.43346i 0.629845 0.363641i −0.150847 0.988557i \(-0.548200\pi\)
0.780692 + 0.624916i \(0.214867\pi\)
\(314\) 2.96288 + 11.0576i 0.167205 + 0.624017i
\(315\) 4.26965 7.06269i 0.240568 0.397938i
\(316\) −12.7022 + 7.33360i −0.714553 + 0.412547i
\(317\) 0.559370 2.08760i 0.0314173 0.117251i −0.948436 0.316967i \(-0.897335\pi\)
0.979854 + 0.199716i \(0.0640021\pi\)
\(318\) −4.72646 + 4.72646i −0.265047 + 0.265047i
\(319\) −2.81596 + 2.81596i −0.157663 + 0.157663i
\(320\) 0.807342 3.01304i 0.0451318 0.168434i
\(321\) 17.0740 9.85768i 0.952978 0.550202i
\(322\) 10.1636 16.8123i 0.566397 0.936912i
\(323\) 4.46786 + 16.6743i 0.248598 + 0.927782i
\(324\) 0.866025 0.500000i 0.0481125 0.0277778i
\(325\) 5.95955 15.9800i 0.330576 0.886409i
\(326\) 2.33452 4.04350i 0.129297 0.223949i
\(327\) −7.58915 + 7.58915i −0.419681 + 0.419681i
\(328\) −2.74306 1.58370i −0.151460 0.0874455i
\(329\) −0.520288 + 25.8181i −0.0286844 + 1.42340i
\(330\) −3.37594 3.37594i −0.185839 0.185839i
\(331\) 17.8827 4.79165i 0.982921 0.263373i 0.268647 0.963239i \(-0.413424\pi\)
0.714274 + 0.699866i \(0.246757\pi\)
\(332\) −5.39273 5.39273i −0.295964 0.295964i
\(333\) −1.22454 4.57004i −0.0671044 0.250437i
\(334\) 12.1847 + 7.03485i 0.666718 + 0.384930i
\(335\) 4.69445 8.13103i 0.256485 0.444246i
\(336\) 1.90814 1.83276i 0.104098 0.0999850i
\(337\) 7.41532i 0.403938i 0.979392 + 0.201969i \(0.0647340\pi\)
−0.979392 + 0.201969i \(0.935266\pi\)
\(338\) 11.6938 + 5.67942i 0.636057 + 0.308920i
\(339\) 1.60505 + 0.926673i 0.0871741 + 0.0503300i
\(340\) −2.79696 + 10.4384i −0.151686 + 0.566101i
\(341\) 16.0851i 0.871059i
\(342\) −2.49141 4.31525i −0.134720 0.233342i
\(343\) 13.8630 12.2808i 0.748532 0.663098i
\(344\) 1.94850 7.27190i 0.105056 0.392075i
\(345\) −5.99481 22.3729i −0.322750 1.20452i
\(346\) 6.71693 1.79979i 0.361104 0.0967576i
\(347\) −8.58941 −0.461104 −0.230552 0.973060i \(-0.574053\pi\)
−0.230552 + 0.973060i \(0.574053\pi\)
\(348\) −2.60192 −0.139477
\(349\) 24.1386 6.46792i 1.29211 0.346220i 0.453649 0.891181i \(-0.350122\pi\)
0.838462 + 0.544961i \(0.183455\pi\)
\(350\) −6.03786 10.9622i −0.322737 0.585953i
\(351\) 3.55561 0.598039i 0.189784 0.0319209i
\(352\) −0.765275 1.32550i −0.0407893 0.0706492i
\(353\) −19.8395 5.31599i −1.05595 0.282941i −0.311243 0.950330i \(-0.600745\pi\)
−0.744709 + 0.667389i \(0.767412\pi\)
\(354\) 4.25711 + 7.37353i 0.226263 + 0.391899i
\(355\) 4.15308 7.19334i 0.220423 0.381783i
\(356\) 5.62087 5.62087i 0.297905 0.297905i
\(357\) −6.61057 + 6.34940i −0.349869 + 0.336046i
\(358\) 3.97376 + 1.06477i 0.210020 + 0.0562746i
\(359\) 0.954577 + 0.255778i 0.0503807 + 0.0134995i 0.283921 0.958848i \(-0.408365\pi\)
−0.233541 + 0.972347i \(0.575031\pi\)
\(360\) 3.11933i 0.164403i
\(361\) −5.04763 + 2.91425i −0.265665 + 0.153382i
\(362\) 3.22056 + 3.22056i 0.169269 + 0.169269i
\(363\) 8.65741 0.454396
\(364\) 8.75528 3.78749i 0.458901 0.198519i
\(365\) −21.2843 −1.11407
\(366\) 5.39570 + 5.39570i 0.282038 + 0.282038i
\(367\) −27.7588 + 16.0266i −1.44900 + 0.836580i −0.998422 0.0561571i \(-0.982115\pi\)
−0.450578 + 0.892737i \(0.648782\pi\)
\(368\) 7.42537i 0.387074i
\(369\) −3.05948 0.819786i −0.159270 0.0426763i
\(370\) −14.2555 3.81974i −0.741107 0.198579i
\(371\) −4.92040 + 16.9865i −0.255454 + 0.881895i
\(372\) −7.43125 + 7.43125i −0.385292 + 0.385292i
\(373\) −17.0271 + 29.4919i −0.881632 + 1.52703i −0.0321054 + 0.999484i \(0.510221\pi\)
−0.849526 + 0.527546i \(0.823112\pi\)
\(374\) 2.65122 + 4.59205i 0.137091 + 0.237449i
\(375\) 0.812842 + 0.217800i 0.0419750 + 0.0112472i
\(376\) 4.88016 + 8.45268i 0.251675 + 0.435914i
\(377\) −8.78998 3.27812i −0.452707 0.168832i
\(378\) 1.36877 2.26417i 0.0704020 0.116456i
\(379\) 34.3383 9.20093i 1.76384 0.472620i 0.776352 0.630300i \(-0.217068\pi\)
0.987490 + 0.157679i \(0.0504013\pi\)
\(380\) −15.5431 −0.797342
\(381\) 10.4094 0.533291
\(382\) −11.7230 + 3.14118i −0.599802 + 0.160717i
\(383\) −9.81817 36.6419i −0.501685 1.87231i −0.488797 0.872398i \(-0.662564\pi\)
−0.0128882 0.999917i \(-0.504103\pi\)
\(384\) 0.258819 0.965926i 0.0132078 0.0492922i
\(385\) −12.1328 3.51446i −0.618347 0.179114i
\(386\) 5.08274 + 8.80356i 0.258705 + 0.448090i
\(387\) 7.52842i 0.382691i
\(388\) 1.14545 4.27487i 0.0581514 0.217024i
\(389\) −17.3048 9.99095i −0.877390 0.506561i −0.00759279 0.999971i \(-0.502417\pi\)
−0.869797 + 0.493410i \(0.835750\pi\)
\(390\) 3.93001 10.5379i 0.199004 0.533609i
\(391\) 25.7245i 1.30094i
\(392\) 2.08267 6.68300i 0.105191 0.337543i
\(393\) −0.170268 + 0.294912i −0.00858886 + 0.0148763i
\(394\) 5.08159 + 2.93386i 0.256007 + 0.147806i
\(395\) 11.8415 + 44.1929i 0.595808 + 2.22359i
\(396\) −1.08226 1.08226i −0.0543857 0.0543857i
\(397\) −12.3207 + 3.30131i −0.618356 + 0.165688i −0.554380 0.832263i \(-0.687045\pi\)
−0.0639757 + 0.997951i \(0.520378\pi\)
\(398\) 8.47120 + 8.47120i 0.424623 + 0.424623i
\(399\) −11.2820 6.82034i −0.564804 0.341444i
\(400\) −4.09650 2.36511i −0.204825 0.118256i
\(401\) 8.42752 8.42752i 0.420850 0.420850i −0.464646 0.885496i \(-0.653818\pi\)
0.885496 + 0.464646i \(0.153818\pi\)
\(402\) 1.50496 2.60666i 0.0750603 0.130008i
\(403\) −34.4673 + 15.7422i −1.71694 + 0.784175i
\(404\) −7.31584 + 4.22380i −0.363977 + 0.210142i
\(405\) −0.807342 3.01304i −0.0401172 0.149719i
\(406\) −6.02988 + 3.32120i −0.299258 + 0.164828i
\(407\) −6.27126 + 3.62071i −0.310855 + 0.179472i
\(408\) −0.896653 + 3.34635i −0.0443909 + 0.165669i
\(409\) 21.9236 21.9236i 1.08405 1.08405i 0.0879228 0.996127i \(-0.471977\pi\)
0.996127 0.0879228i \(-0.0280229\pi\)
\(410\) −6.98635 + 6.98635i −0.345031 + 0.345031i
\(411\) −4.29074 + 16.0133i −0.211647 + 0.789876i
\(412\) 13.4017 7.73745i 0.660253 0.381197i
\(413\) 19.2776 + 11.6540i 0.948590 + 0.573457i
\(414\) −1.92183 7.17236i −0.0944526 0.352502i
\(415\) −20.6023 + 11.8947i −1.01133 + 0.583890i
\(416\) 2.09132 2.93707i 0.102535 0.144002i
\(417\) 10.3907 17.9972i 0.508835 0.881327i
\(418\) −5.39272 + 5.39272i −0.263767 + 0.263767i
\(419\) 6.93782 + 4.00555i 0.338935 + 0.195684i 0.659801 0.751441i \(-0.270641\pi\)
−0.320866 + 0.947125i \(0.603974\pi\)
\(420\) −3.98165 7.22897i −0.194284 0.352738i
\(421\) 6.84792 + 6.84792i 0.333747 + 0.333747i 0.854008 0.520261i \(-0.174165\pi\)
−0.520261 + 0.854008i \(0.674165\pi\)
\(422\) −3.33880 + 0.894630i −0.162530 + 0.0435499i
\(423\) 6.90159 + 6.90159i 0.335567 + 0.335567i
\(424\) 1.73000 + 6.45646i 0.0840164 + 0.313553i
\(425\) 14.1919 + 8.19370i 0.688408 + 0.397453i
\(426\) 1.33140 2.30605i 0.0645066 0.111729i
\(427\) 19.3917 + 5.61711i 0.938431 + 0.271831i
\(428\) 19.7154i 0.952978i
\(429\) −2.29264 5.01970i −0.110690 0.242353i
\(430\) −20.3374 11.7418i −0.980758 0.566241i
\(431\) 1.34118 5.00536i 0.0646024 0.241100i −0.926073 0.377345i \(-0.876837\pi\)
0.990675 + 0.136246i \(0.0435037\pi\)
\(432\) 1.00000i 0.0481125i
\(433\) 5.71366 + 9.89634i 0.274581 + 0.475588i 0.970029 0.242988i \(-0.0781276\pi\)
−0.695448 + 0.718576i \(0.744794\pi\)
\(434\) −7.73618 + 26.7073i −0.371349 + 1.28199i
\(435\) −2.10064 + 7.83969i −0.100718 + 0.375884i
\(436\) 2.77782 + 10.3670i 0.133034 + 0.496488i
\(437\) −35.7386 + 9.57612i −1.70961 + 0.458088i
\(438\) −6.82337 −0.326033
\(439\) −25.9311 −1.23762 −0.618811 0.785540i \(-0.712385\pi\)
−0.618811 + 0.785540i \(0.712385\pi\)
\(440\) −4.61161 + 1.23568i −0.219850 + 0.0589086i
\(441\) 0.282014 6.99432i 0.0134292 0.333063i
\(442\) −7.24516 + 10.1752i −0.344617 + 0.483985i
\(443\) 18.8762 + 32.6945i 0.896833 + 1.55336i 0.831519 + 0.555496i \(0.187472\pi\)
0.0653141 + 0.997865i \(0.479195\pi\)
\(444\) −4.57004 1.22454i −0.216885 0.0581141i
\(445\) −12.3979 21.4739i −0.587719 1.01796i
\(446\) 5.12059 8.86912i 0.242467 0.419965i
\(447\) −6.90337 + 6.90337i −0.326518 + 0.326518i
\(448\) −0.633142 2.56888i −0.0299131 0.121368i
\(449\) 3.29660 + 0.883320i 0.155576 + 0.0416865i 0.335766 0.941945i \(-0.391005\pi\)
−0.180190 + 0.983632i \(0.557671\pi\)
\(450\) −4.56905 1.22427i −0.215387 0.0577128i
\(451\) 4.84788i 0.228278i
\(452\) 1.60505 0.926673i 0.0754950 0.0435871i
\(453\) 6.08276 + 6.08276i 0.285793 + 0.285793i
\(454\) 6.49632 0.304887
\(455\) −4.34337 29.4378i −0.203620 1.38007i
\(456\) −4.98282 −0.233342
\(457\) −11.3894 11.3894i −0.532772 0.532772i 0.388624 0.921396i \(-0.372950\pi\)
−0.921396 + 0.388624i \(0.872950\pi\)
\(458\) 20.7158 11.9603i 0.967986 0.558867i
\(459\) 3.46440i 0.161704i
\(460\) −22.3729 5.99481i −1.04314 0.279510i
\(461\) −19.9854 5.35508i −0.930814 0.249411i −0.238612 0.971115i \(-0.576692\pi\)
−0.692202 + 0.721704i \(0.743359\pi\)
\(462\) −3.88956 1.12667i −0.180959 0.0524175i
\(463\) −12.0105 + 12.0105i −0.558176 + 0.558176i −0.928788 0.370612i \(-0.879148\pi\)
0.370612 + 0.928788i \(0.379148\pi\)
\(464\) −1.30096 + 2.25333i −0.0603955 + 0.104608i
\(465\) 16.3911 + 28.3902i 0.760119 + 1.31657i
\(466\) −24.6151 6.59559i −1.14027 0.305535i
\(467\) −1.96024 3.39524i −0.0907092 0.157113i 0.817101 0.576495i \(-0.195580\pi\)
−0.907810 + 0.419382i \(0.862247\pi\)
\(468\) 1.25989 3.37827i 0.0582383 0.156160i
\(469\) 0.160448 7.96186i 0.00740878 0.367644i
\(470\) 29.4082 7.87992i 1.35650 0.363473i
\(471\) 11.4477 0.527481
\(472\) 8.51422 0.391899
\(473\) −11.1300 + 2.98228i −0.511758 + 0.137125i
\(474\) 3.79615 + 14.1674i 0.174363 + 0.650732i
\(475\) −6.10033 + 22.7667i −0.279902 + 1.04461i
\(476\) 2.19346 + 8.89962i 0.100537 + 0.407914i
\(477\) 3.34211 + 5.78870i 0.153025 + 0.265047i
\(478\) 11.5791i 0.529614i
\(479\) −2.00137 + 7.46923i −0.0914451 + 0.341278i −0.996457 0.0841094i \(-0.973195\pi\)
0.905011 + 0.425387i \(0.139862\pi\)
\(480\) −2.70142 1.55967i −0.123302 0.0711887i
\(481\) −13.8960 9.89456i −0.633605 0.451153i
\(482\) 6.62826i 0.301909i
\(483\) −13.6089 14.1687i −0.619226 0.644696i
\(484\) 4.32871 7.49754i 0.196759 0.340797i
\(485\) −11.9556 6.90257i −0.542876 0.313430i
\(486\) −0.258819 0.965926i −0.0117403 0.0438153i
\(487\) 9.75715 + 9.75715i 0.442139 + 0.442139i 0.892730 0.450591i \(-0.148787\pi\)
−0.450591 + 0.892730i \(0.648787\pi\)
\(488\) 7.37066 1.97496i 0.333654 0.0894024i
\(489\) −3.30151 3.30151i −0.149299 0.149299i
\(490\) −18.4547 11.6706i −0.833700 0.527225i
\(491\) −9.28265 5.35934i −0.418920 0.241864i 0.275695 0.961245i \(-0.411092\pi\)
−0.694615 + 0.719382i \(0.744425\pi\)
\(492\) −2.23970 + 2.23970i −0.100973 + 0.100973i
\(493\) 4.50705 7.80643i 0.202987 0.351584i
\(494\) −16.8333 6.27779i −0.757366 0.282451i
\(495\) −4.13466 + 2.38715i −0.185839 + 0.107294i
\(496\) 2.72003 + 10.1513i 0.122133 + 0.455806i
\(497\) 0.141944 7.04368i 0.00636708 0.315952i
\(498\) −6.60471 + 3.81323i −0.295964 + 0.170875i
\(499\) 0.379762 1.41729i 0.0170005 0.0634467i −0.956905 0.290403i \(-0.906211\pi\)
0.973905 + 0.226956i \(0.0728774\pi\)
\(500\) 0.595042 0.595042i 0.0266111 0.0266111i
\(501\) 9.94878 9.94878i 0.444478 0.444478i
\(502\) −5.83658 + 21.7824i −0.260499 + 0.972196i
\(503\) −0.457260 + 0.263999i −0.0203882 + 0.0117711i −0.510159 0.860080i \(-0.670414\pi\)
0.489771 + 0.871851i \(0.337080\pi\)
\(504\) −1.27644 2.31748i −0.0568573 0.103229i
\(505\) 6.82011 + 25.4530i 0.303491 + 1.13264i
\(506\) −9.84229 + 5.68245i −0.437543 + 0.252616i
\(507\) 8.51247 9.82537i 0.378052 0.436360i
\(508\) 5.20472 9.01483i 0.230922 0.399968i
\(509\) 23.8161 23.8161i 1.05563 1.05563i 0.0572703 0.998359i \(-0.481760\pi\)
0.998359 0.0572703i \(-0.0182397\pi\)
\(510\) 9.35880 + 5.40331i 0.414415 + 0.239262i
\(511\) −15.8130 + 8.70964i −0.699526 + 0.385292i
\(512\) −0.707107 0.707107i −0.0312500 0.0312500i
\(513\) −4.81303 + 1.28965i −0.212501 + 0.0569394i
\(514\) 14.0884 + 14.0884i 0.621414 + 0.621414i
\(515\) −12.4935 46.6266i −0.550532 2.05461i
\(516\) −6.51981 3.76421i −0.287018 0.165710i
\(517\) 7.46933 12.9373i 0.328501 0.568980i
\(518\) −12.1540 + 2.99556i −0.534017 + 0.131617i
\(519\) 6.95387i 0.305241i
\(520\) −7.16111 8.67245i −0.314036 0.380312i
\(521\) 2.83563 + 1.63715i 0.124231 + 0.0717250i 0.560828 0.827932i \(-0.310483\pi\)
−0.436597 + 0.899657i \(0.643816\pi\)
\(522\) −0.673426 + 2.51326i −0.0294751 + 0.110002i
\(523\) 36.6706i 1.60349i 0.597665 + 0.801746i \(0.296095\pi\)
−0.597665 + 0.801746i \(0.703905\pi\)
\(524\) 0.170268 + 0.294912i 0.00743817 + 0.0128833i
\(525\) −12.1514 + 2.99490i −0.530329 + 0.130708i
\(526\) 2.63336 9.82782i 0.114820 0.428514i
\(527\) −9.42326 35.1681i −0.410484 1.53195i
\(528\) −1.47840 + 0.396136i −0.0643390 + 0.0172396i
\(529\) −32.1361 −1.39722
\(530\) 20.8503 0.905679
\(531\) 8.22410 2.20364i 0.356896 0.0956299i
\(532\) −11.5476 + 6.36028i −0.500651 + 0.275753i
\(533\) −10.3881 + 4.74453i −0.449957 + 0.205508i
\(534\) −3.97455 6.88413i −0.171996 0.297905i
\(535\) −59.4032 15.9170i −2.56822 0.688154i
\(536\) −1.50496 2.60666i −0.0650042 0.112591i
\(537\) 2.05697 3.56278i 0.0887648 0.153745i
\(538\) 20.8479 20.8479i 0.898815 0.898815i
\(539\) −10.4521 + 2.35377i −0.450204 + 0.101384i
\(540\) −3.01304 0.807342i −0.129661 0.0347425i
\(541\) 17.0819 + 4.57707i 0.734407 + 0.196784i 0.606591 0.795014i \(-0.292537\pi\)
0.127816 + 0.991798i \(0.459203\pi\)
\(542\) 2.69166i 0.115617i
\(543\) 3.94437 2.27728i 0.169269 0.0977276i
\(544\) 2.44970 + 2.44970i 0.105030 + 0.105030i
\(545\) 33.4788 1.43407
\(546\) −1.39240 9.43722i −0.0595894 0.403876i
\(547\) 2.57222 0.109980 0.0549900 0.998487i \(-0.482487\pi\)
0.0549900 + 0.998487i \(0.482487\pi\)
\(548\) 11.7225 + 11.7225i 0.500761 + 0.500761i
\(549\) 6.60836 3.81534i 0.282038 0.162835i
\(550\) 7.23985i 0.308708i
\(551\) 12.5231 + 3.35556i 0.533503 + 0.142952i
\(552\) −7.17236 1.92183i −0.305276 0.0817984i
\(553\) 26.8814 + 27.9871i 1.14311 + 1.19013i
\(554\) −4.77611 + 4.77611i −0.202918 + 0.202918i
\(555\) −7.37918 + 12.7811i −0.313229 + 0.542528i
\(556\) −10.3907 17.9972i −0.440664 0.763252i
\(557\) −10.8621 2.91048i −0.460240 0.123321i 0.0212468 0.999774i \(-0.493236\pi\)
−0.481487 + 0.876453i \(0.659903\pi\)
\(558\) 5.25469 + 9.10138i 0.222449 + 0.385292i
\(559\) −17.2832 20.9307i −0.731000 0.885276i
\(560\) −8.25130 0.166280i −0.348681 0.00702663i
\(561\) 5.12177 1.37237i 0.216241 0.0579416i
\(562\) −0.0891524 −0.00376067
\(563\) 27.0870 1.14158 0.570791 0.821095i \(-0.306637\pi\)
0.570791 + 0.821095i \(0.306637\pi\)
\(564\) 9.42774 2.52616i 0.396980 0.106370i
\(565\) −1.49629 5.58421i −0.0629492 0.234930i
\(566\) −7.42270 + 27.7019i −0.311999 + 1.16440i
\(567\) −1.83276 1.90814i −0.0769685 0.0801344i
\(568\) −1.33140 2.30605i −0.0558643 0.0967599i
\(569\) 28.7941i 1.20711i 0.797321 + 0.603555i \(0.206250\pi\)
−0.797321 + 0.603555i \(0.793750\pi\)
\(570\) −4.02284 + 15.0134i −0.168498 + 0.628844i
\(571\) 18.8974 + 10.9104i 0.790830 + 0.456586i 0.840255 0.542192i \(-0.182405\pi\)
−0.0494246 + 0.998778i \(0.515739\pi\)
\(572\) −5.49351 0.524364i −0.229695 0.0219247i
\(573\) 12.1366i 0.507013i
\(574\) −2.33160 + 8.04929i −0.0973191 + 0.335971i
\(575\) −17.5618 + 30.4180i −0.732379 + 1.26852i
\(576\) −0.866025 0.500000i −0.0360844 0.0208333i
\(577\) 4.86870 + 18.1702i 0.202686 + 0.756436i 0.990142 + 0.140065i \(0.0447312\pi\)
−0.787456 + 0.616371i \(0.788602\pi\)
\(578\) 3.53406 + 3.53406i 0.146998 + 0.146998i
\(579\) 9.81910 2.63102i 0.408068 0.109341i
\(580\) 5.73905 + 5.73905i 0.238301 + 0.238301i
\(581\) −10.4389 + 17.2676i −0.433078 + 0.716381i
\(582\) −3.83275 2.21284i −0.158872 0.0917251i
\(583\) 7.23408 7.23408i 0.299605 0.299605i
\(584\) −3.41168 + 5.90921i −0.141177 + 0.244525i
\(585\) −9.16170 6.52351i −0.378790 0.269714i
\(586\) 10.6894 6.17151i 0.441574 0.254943i
\(587\) 3.39742 + 12.6793i 0.140226 + 0.523332i 0.999922 + 0.0125246i \(0.00398682\pi\)
−0.859695 + 0.510807i \(0.829347\pi\)
\(588\) −5.91625 3.74139i −0.243982 0.154292i
\(589\) 45.3506 26.1832i 1.86864 1.07886i
\(590\) 6.87389 25.6537i 0.282994 1.05615i
\(591\) 4.14910 4.14910i 0.170671 0.170671i
\(592\) −3.34550 + 3.34550i −0.137499 + 0.137499i
\(593\) −1.78126 + 6.64776i −0.0731477 + 0.272991i −0.992807 0.119727i \(-0.961798\pi\)
0.919659 + 0.392717i \(0.128465\pi\)
\(594\) −1.32550 + 0.765275i −0.0543857 + 0.0313996i
\(595\) 28.5858 + 0.576062i 1.17190 + 0.0236162i
\(596\) 2.52681 + 9.43017i 0.103502 + 0.386275i
\(597\) 10.3751 5.99004i 0.424623 0.245156i
\(598\) −21.8088 15.5288i −0.891830 0.635020i
\(599\) 11.7981 20.4349i 0.482057 0.834948i −0.517730 0.855544i \(-0.673223\pi\)
0.999788 + 0.0205958i \(0.00655630\pi\)
\(600\) −3.34477 + 3.34477i −0.136550 + 0.136550i
\(601\) −30.7423 17.7491i −1.25401 0.724001i −0.282104 0.959384i \(-0.591032\pi\)
−0.971903 + 0.235383i \(0.924366\pi\)
\(602\) −19.9143 0.401314i −0.811646 0.0163563i
\(603\) −2.12833 2.12833i −0.0866722 0.0866722i
\(604\) 8.30920 2.22644i 0.338096 0.0905927i
\(605\) −19.0957 19.0957i −0.776349 0.776349i
\(606\) 2.18640 + 8.15976i 0.0888165 + 0.331468i
\(607\) −0.509281 0.294034i −0.0206711 0.0119345i 0.489629 0.871931i \(-0.337132\pi\)
−0.510300 + 0.859996i \(0.670466\pi\)
\(608\) −2.49141 + 4.31525i −0.101040 + 0.175006i
\(609\) 1.64738 + 6.68401i 0.0667553 + 0.270850i
\(610\) 23.8026i 0.963739i
\(611\) 35.0321 + 3.34387i 1.41725 + 0.135278i
\(612\) 3.00026 + 1.73220i 0.121278 + 0.0700201i
\(613\) −0.462410 + 1.72574i −0.0186766 + 0.0697019i −0.974635 0.223800i \(-0.928154\pi\)
0.955959 + 0.293501i \(0.0948206\pi\)
\(614\) 19.6224i 0.791896i
\(615\) 4.94010 + 8.55650i 0.199204 + 0.345031i
\(616\) −2.92051 + 2.80513i −0.117671 + 0.113022i
\(617\) −3.25047 + 12.1309i −0.130859 + 0.488373i −0.999981 0.00622577i \(-0.998018\pi\)
0.869122 + 0.494599i \(0.164685\pi\)
\(618\) −4.00520 14.9476i −0.161113 0.601281i
\(619\) 22.8821 6.13124i 0.919709 0.246435i 0.232248 0.972657i \(-0.425392\pi\)
0.687461 + 0.726221i \(0.258725\pi\)
\(620\) 32.7822 1.31657
\(621\) −7.42537 −0.297970
\(622\) −25.3541 + 6.79362i −1.01661 + 0.272399i
\(623\) −17.9981 10.8805i −0.721080 0.435919i
\(624\) −2.29572 2.78023i −0.0919024 0.111298i
\(625\) −13.1380 22.7558i −0.525522 0.910231i
\(626\) −12.4285 3.33021i −0.496743 0.133102i
\(627\) 3.81323 + 6.60471i 0.152286 + 0.263767i
\(628\) 5.72384 9.91398i 0.228406 0.395611i
\(629\) 11.5902 11.5902i 0.462130 0.462130i
\(630\) −8.01318 + 1.97498i −0.319253 + 0.0786850i
\(631\) 14.9722 + 4.01178i 0.596032 + 0.159706i 0.544209 0.838950i \(-0.316830\pi\)
0.0518237 + 0.998656i \(0.483497\pi\)
\(632\) 14.1674 + 3.79615i 0.563550 + 0.151003i
\(633\) 3.45658i 0.137387i
\(634\) −1.87169 + 1.08062i −0.0743342 + 0.0429169i
\(635\) −22.9601 22.9601i −0.911143 0.911143i
\(636\) 6.68422 0.265047
\(637\) −15.2729 20.0932i −0.605136 0.796122i
\(638\) 3.98237 0.157663
\(639\) −1.88288 1.88288i −0.0744858 0.0744858i
\(640\) −2.70142 + 1.55967i −0.106783 + 0.0616512i
\(641\) 46.4479i 1.83458i 0.398219 + 0.917290i \(0.369628\pi\)
−0.398219 + 0.917290i \(0.630372\pi\)
\(642\) −19.0436 5.10271i −0.751590 0.201388i
\(643\) −25.6665 6.87732i −1.01219 0.271215i −0.285644 0.958336i \(-0.592208\pi\)
−0.726543 + 0.687121i \(0.758874\pi\)
\(644\) −19.0749 + 4.70131i −0.751655 + 0.185258i
\(645\) −16.6054 + 16.6054i −0.653839 + 0.653839i
\(646\) 8.63125 14.9498i 0.339592 0.588190i
\(647\) −8.84345 15.3173i −0.347672 0.602185i 0.638164 0.769901i \(-0.279694\pi\)
−0.985835 + 0.167715i \(0.946361\pi\)
\(648\) −0.965926 0.258819i −0.0379452 0.0101674i
\(649\) −6.51572 11.2856i −0.255764 0.442997i
\(650\) −15.5136 + 7.08550i −0.608493 + 0.277916i
\(651\) 23.7950 + 14.3849i 0.932600 + 0.563790i
\(652\) −4.50994 + 1.20844i −0.176623 + 0.0473260i
\(653\) 37.6867 1.47480 0.737398 0.675459i \(-0.236054\pi\)
0.737398 + 0.675459i \(0.236054\pi\)
\(654\) 10.7327 0.419681
\(655\) 1.02605 0.274928i 0.0400910 0.0107423i
\(656\) 0.819786 + 3.05948i 0.0320073 + 0.119453i
\(657\) −1.76602 + 6.59087i −0.0688989 + 0.257134i
\(658\) 18.6241 17.8883i 0.726042 0.697357i
\(659\) −16.0832 27.8570i −0.626514 1.08515i −0.988246 0.152872i \(-0.951148\pi\)
0.361732 0.932282i \(-0.382186\pi\)
\(660\) 4.77429i 0.185839i
\(661\) −0.175434 + 0.654727i −0.00682358 + 0.0254659i −0.969254 0.246064i \(-0.920863\pi\)
0.962430 + 0.271530i \(0.0875295\pi\)
\(662\) −16.0332 9.25676i −0.623147 0.359774i
\(663\) 7.95330 + 9.63182i 0.308881 + 0.374069i
\(664\) 7.62647i 0.295964i
\(665\) 9.84096 + 39.9282i 0.381616 + 1.54835i
\(666\) −2.36563 + 4.09739i −0.0916662 + 0.158771i
\(667\) 16.7318 + 9.66010i 0.647857 + 0.374041i
\(668\) −3.64150 13.5903i −0.140894 0.525824i
\(669\) −7.24161 7.24161i −0.279977 0.279977i
\(670\) −9.06899 + 2.43003i −0.350366 + 0.0938802i
\(671\) −8.25839 8.25839i −0.318812 0.318812i
\(672\) −2.64521 0.0533064i −0.102041 0.00205634i
\(673\) 7.66521 + 4.42551i 0.295472 + 0.170591i 0.640407 0.768036i \(-0.278766\pi\)
−0.344935 + 0.938627i \(0.612099\pi\)
\(674\) 5.24342 5.24342i 0.201969 0.201969i
\(675\) −2.36511 + 4.09650i −0.0910332 + 0.157674i
\(676\) −4.25278 12.2847i −0.163569 0.472488i
\(677\) −40.6957 + 23.4957i −1.56406 + 0.903013i −0.567226 + 0.823562i \(0.691983\pi\)
−0.996839 + 0.0794506i \(0.974683\pi\)
\(678\) −0.479681 1.79020i −0.0184221 0.0687520i
\(679\) −11.7069 0.235917i −0.449268 0.00905366i
\(680\) 9.35880 5.40331i 0.358894 0.207207i
\(681\) 1.68137 6.27496i 0.0644303 0.240457i
\(682\) 11.3739 11.3739i 0.435529 0.435529i
\(683\) 16.8468 16.8468i 0.644626 0.644626i −0.307063 0.951689i \(-0.599346\pi\)
0.951689 + 0.307063i \(0.0993463\pi\)
\(684\) −1.28965 + 4.81303i −0.0493110 + 0.184031i
\(685\) 44.7845 25.8564i 1.71113 0.987921i
\(686\) −18.4864 1.11883i −0.705815 0.0427171i
\(687\) −6.19109 23.1055i −0.236205 0.881529i
\(688\) −6.51981 + 3.76421i −0.248565 + 0.143509i
\(689\) 22.5811 + 8.42136i 0.860271 + 0.320828i
\(690\) −11.5811 + 20.0590i −0.440885 + 0.763635i
\(691\) 23.4523 23.4523i 0.892167 0.892167i −0.102560 0.994727i \(-0.532703\pi\)
0.994727 + 0.102560i \(0.0327033\pi\)
\(692\) −6.02223 3.47694i −0.228931 0.132173i
\(693\) −2.09497 + 3.46543i −0.0795815 + 0.131641i
\(694\) 6.07363 + 6.07363i 0.230552 + 0.230552i
\(695\) −62.6152 + 16.7777i −2.37513 + 0.636414i
\(696\) 1.83983 + 1.83983i 0.0697387 + 0.0697387i
\(697\) −2.84007 10.5993i −0.107575 0.401476i
\(698\) −21.6421 12.4951i −0.819165 0.472945i
\(699\) −12.7417 + 22.0693i −0.481936 + 0.834737i
\(700\) −3.48202 + 12.0208i −0.131608 + 0.454345i
\(701\) 40.5277i 1.53071i 0.643609 + 0.765354i \(0.277436\pi\)
−0.643609 + 0.765354i \(0.722564\pi\)
\(702\) −2.93707 2.09132i −0.110853 0.0789317i
\(703\) 20.4166 + 11.7875i 0.770025 + 0.444574i
\(704\) −0.396136 + 1.47840i −0.0149299 + 0.0557192i
\(705\) 30.4457i 1.14665i
\(706\) 10.2697 + 17.7876i 0.386505 + 0.669447i
\(707\) 15.4824 + 16.1192i 0.582276 + 0.606226i
\(708\) 2.20364 8.22410i 0.0828179 0.309081i
\(709\) 2.73474 + 10.2062i 0.102705 + 0.383302i 0.998075 0.0620226i \(-0.0197551\pi\)
−0.895369 + 0.445324i \(0.853088\pi\)
\(710\) −8.02313 + 2.14979i −0.301103 + 0.0806803i
\(711\) 14.6672 0.550063
\(712\) −7.94911 −0.297905
\(713\) 75.3770 20.1972i 2.82289 0.756391i
\(714\) 9.16408 + 0.184675i 0.342957 + 0.00691129i
\(715\) −6.01507 + 16.1288i −0.224951 + 0.603184i
\(716\) −2.05697 3.56278i −0.0768726 0.133147i
\(717\) 11.1845 + 2.99688i 0.417693 + 0.111921i
\(718\) −0.494126 0.855851i −0.0184406 0.0319401i
\(719\) −23.4920 + 40.6893i −0.876103 + 1.51745i −0.0205193 + 0.999789i \(0.506532\pi\)
−0.855583 + 0.517665i \(0.826801\pi\)
\(720\) −2.20570 + 2.20570i −0.0822016 + 0.0822016i
\(721\) −28.3617 29.5283i −1.05625 1.09969i
\(722\) 5.62990 + 1.50853i 0.209523 + 0.0561415i
\(723\) −6.40241 1.71552i −0.238108 0.0638009i
\(724\) 4.55457i 0.169269i
\(725\) 10.6587 6.15383i 0.395856 0.228548i
\(726\) −6.12172 6.12172i −0.227198 0.227198i
\(727\) 45.4801 1.68677 0.843383 0.537313i \(-0.180561\pi\)
0.843383 + 0.537313i \(0.180561\pi\)
\(728\) −8.86908 3.51276i −0.328710 0.130191i
\(729\) −1.00000 −0.0370370
\(730\) 15.0503 + 15.0503i 0.557037 + 0.557037i
\(731\) 22.5872 13.0407i 0.835419 0.482329i
\(732\) 7.63067i 0.282038i
\(733\) −16.6436 4.45964i −0.614745 0.164720i −0.0620072 0.998076i \(-0.519750\pi\)
−0.552738 + 0.833355i \(0.686417\pi\)
\(734\) 30.9610 + 8.29596i 1.14279 + 0.306210i
\(735\) −16.0494 + 14.8053i −0.591991 + 0.546103i
\(736\) −5.25053 + 5.25053i −0.193537 + 0.193537i
\(737\) −2.30341 + 3.98962i −0.0848472 + 0.146960i
\(738\) 1.58370 + 2.74306i 0.0582970 + 0.100973i
\(739\) 29.0174 + 7.77520i 1.06742 + 0.286015i 0.749434 0.662079i \(-0.230326\pi\)
0.317990 + 0.948094i \(0.396992\pi\)
\(740\) 7.37918 + 12.7811i 0.271264 + 0.469843i
\(741\) −10.4207 + 14.6349i −0.382812 + 0.537627i
\(742\) 15.4905 8.53202i 0.568675 0.313220i
\(743\) −14.6591 + 3.92789i −0.537790 + 0.144100i −0.517483 0.855694i \(-0.673131\pi\)
−0.0203066 + 0.999794i \(0.506464\pi\)
\(744\) 10.5094 0.385292
\(745\) 30.4535 1.11573
\(746\) 32.8939 8.81389i 1.20433 0.322700i
\(747\) 1.97387 + 7.36660i 0.0722203 + 0.269530i
\(748\) 1.37237 5.12177i 0.0501789 0.187270i
\(749\) −50.6463 + 12.4826i −1.85058 + 0.456105i
\(750\) −0.420758 0.728774i −0.0153639 0.0266111i
\(751\) 10.0535i 0.366856i 0.983033 + 0.183428i \(0.0587195\pi\)
−0.983033 + 0.183428i \(0.941281\pi\)
\(752\) 2.52616 9.42774i 0.0921194 0.343794i
\(753\) 19.5296 + 11.2754i 0.711697 + 0.410899i
\(754\) 3.89747 + 8.53344i 0.141937 + 0.310769i
\(755\) 26.8335i 0.976570i
\(756\) −2.56888 + 0.633142i −0.0934292 + 0.0230271i
\(757\) −8.64250 + 14.9693i −0.314117 + 0.544067i −0.979249 0.202659i \(-0.935042\pi\)
0.665132 + 0.746726i \(0.268375\pi\)
\(758\) −30.7869 17.7748i −1.11823 0.645611i
\(759\) 2.94145 + 10.9777i 0.106768 + 0.398464i
\(760\) 10.9906 + 10.9906i 0.398671 + 0.398671i
\(761\) −39.9834 + 10.7135i −1.44940 + 0.388364i −0.895813 0.444430i \(-0.853406\pi\)
−0.553582 + 0.832795i \(0.686739\pi\)
\(762\) −7.36058 7.36058i −0.266646 0.266646i
\(763\) 24.8727 13.6996i 0.900453 0.495960i
\(764\) 10.5106 + 6.06829i 0.380259 + 0.219543i
\(765\) 7.64143 7.64143i 0.276277 0.276277i
\(766\) −18.9673 + 32.8522i −0.685315 + 1.18700i
\(767\) 17.8059 25.0069i 0.642935 0.902946i
\(768\) −0.866025 + 0.500000i −0.0312500 + 0.0180422i
\(769\) −0.00508629 0.0189823i −0.000183416 0.000684518i 0.965834 0.259161i \(-0.0834461\pi\)
−0.966017 + 0.258477i \(0.916779\pi\)
\(770\) 6.09411 + 11.0643i 0.219617 + 0.398730i
\(771\) 17.2547 9.96202i 0.621414 0.358774i
\(772\) 2.63102 9.81910i 0.0946925 0.353397i
\(773\) −0.302402 + 0.302402i −0.0108766 + 0.0108766i −0.712524 0.701648i \(-0.752448\pi\)
0.701648 + 0.712524i \(0.252448\pi\)
\(774\) −5.32340 + 5.32340i