Properties

Label 546.2.cg.b.241.10
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 241.10
Character \(\chi\) \(=\) 546.241
Dual form 546.2.cg.b.145.10

$q$-expansion

\(f(q)\) \(=\) \(q+(0.707107 + 0.707107i) q^{2} +(-0.866025 + 0.500000i) q^{3} +1.00000i q^{4} +(2.65393 + 0.711118i) q^{5} +(-0.965926 - 0.258819i) q^{6} +(1.40673 + 2.24078i) q^{7} +(-0.707107 + 0.707107i) q^{8} +(0.500000 - 0.866025i) q^{9} +O(q^{10})\) \(q+(0.707107 + 0.707107i) q^{2} +(-0.866025 + 0.500000i) q^{3} +1.00000i q^{4} +(2.65393 + 0.711118i) q^{5} +(-0.965926 - 0.258819i) q^{6} +(1.40673 + 2.24078i) q^{7} +(-0.707107 + 0.707107i) q^{8} +(0.500000 - 0.866025i) q^{9} +(1.37378 + 2.37945i) q^{10} +(2.14199 + 0.573943i) q^{11} +(-0.500000 - 0.866025i) q^{12} +(-0.354780 - 3.58805i) q^{13} +(-0.589766 + 2.57918i) q^{14} +(-2.65393 + 0.711118i) q^{15} -1.00000 q^{16} -1.67627 q^{17} +(0.965926 - 0.258819i) q^{18} +(-0.0474662 - 0.177146i) q^{19} +(-0.711118 + 2.65393i) q^{20} +(-2.33866 - 1.23721i) q^{21} +(1.10877 + 1.92045i) q^{22} +0.546143i q^{23} +(0.258819 - 0.965926i) q^{24} +(2.20753 + 1.27452i) q^{25} +(2.28627 - 2.78800i) q^{26} +1.00000i q^{27} +(-2.24078 + 1.40673i) q^{28} +(-2.18139 + 3.77828i) q^{29} +(-2.37945 - 1.37378i) q^{30} +(2.02462 + 7.55600i) q^{31} +(-0.707107 - 0.707107i) q^{32} +(-2.14199 + 0.573943i) q^{33} +(-1.18530 - 1.18530i) q^{34} +(2.13990 + 6.94723i) q^{35} +(0.866025 + 0.500000i) q^{36} +(0.909963 - 0.909963i) q^{37} +(0.0916976 - 0.158825i) q^{38} +(2.10128 + 2.92996i) q^{39} +(-2.37945 + 1.37378i) q^{40} +(-1.32782 - 4.95550i) q^{41} +(-0.778839 - 2.52852i) q^{42} +(-2.86766 + 1.65565i) q^{43} +(-0.573943 + 2.14199i) q^{44} +(1.94281 - 1.94281i) q^{45} +(-0.386181 + 0.386181i) q^{46} +(2.61197 - 9.74801i) q^{47} +(0.866025 - 0.500000i) q^{48} +(-3.04223 + 6.30435i) q^{49} +(0.659739 + 2.46218i) q^{50} +(1.45169 - 0.838134i) q^{51} +(3.58805 - 0.354780i) q^{52} +(1.78093 - 3.08467i) q^{53} +(-0.707107 + 0.707107i) q^{54} +(5.27654 + 3.04641i) q^{55} +(-2.57918 - 0.589766i) q^{56} +(0.129680 + 0.129680i) q^{57} +(-4.21412 + 1.12917i) q^{58} +(-1.05173 - 1.05173i) q^{59} +(-0.711118 - 2.65393i) q^{60} +(-11.8307 - 6.83046i) q^{61} +(-3.91127 + 6.77452i) q^{62} +(2.64394 - 0.0978714i) q^{63} -1.00000i q^{64} +(1.60997 - 9.77473i) q^{65} +(-1.92045 - 1.10877i) q^{66} +(-1.82429 + 6.80833i) q^{67} -1.67627i q^{68} +(-0.273071 - 0.472973i) q^{69} +(-3.39930 + 6.42557i) q^{70} +(1.04867 - 3.91368i) q^{71} +(0.258819 + 0.965926i) q^{72} +(8.57385 - 2.29736i) q^{73} +1.28688 q^{74} -2.54903 q^{75} +(0.177146 - 0.0474662i) q^{76} +(1.72711 + 5.60711i) q^{77} +(-0.585966 + 3.55762i) q^{78} +(4.42139 + 7.65808i) q^{79} +(-2.65393 - 0.711118i) q^{80} +(-0.500000 - 0.866025i) q^{81} +(2.56516 - 4.44298i) q^{82} +(11.3594 - 11.3594i) q^{83} +(1.23721 - 2.33866i) q^{84} +(-4.44870 - 1.19203i) q^{85} +(-3.19846 - 0.857026i) q^{86} -4.36278i q^{87} +(-1.92045 + 1.10877i) q^{88} +(-11.3766 - 11.3766i) q^{89} +2.74755 q^{90} +(7.54097 - 5.84241i) q^{91} -0.546143 q^{92} +(-5.53137 - 5.53137i) q^{93} +(8.73983 - 5.04594i) q^{94} -0.503888i q^{95} +(0.965926 + 0.258819i) q^{96} +(15.6069 + 4.18186i) q^{97} +(-6.60903 + 2.30667i) q^{98} +(1.56804 - 1.56804i) 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
\(5\) 2.65393 + 0.711118i 1.18687 + 0.318022i 0.797650 0.603121i \(-0.206077\pi\)
0.389224 + 0.921143i \(0.372743\pi\)
\(6\) −0.965926 0.258819i −0.394338 0.105662i
\(7\) 1.40673 + 2.24078i 0.531694 + 0.846937i
\(8\) −0.707107 + 0.707107i −0.250000 + 0.250000i
\(9\) 0.500000 0.866025i 0.166667 0.288675i
\(10\) 1.37378 + 2.37945i 0.434426 + 0.752448i
\(11\) 2.14199 + 0.573943i 0.645833 + 0.173050i 0.566844 0.823825i \(-0.308164\pi\)
0.0789889 + 0.996875i \(0.474831\pi\)
\(12\) −0.500000 0.866025i −0.144338 0.250000i
\(13\) −0.354780 3.58805i −0.0983982 0.995147i
\(14\) −0.589766 + 2.57918i −0.157621 + 0.689315i
\(15\) −2.65393 + 0.711118i −0.685242 + 0.183610i
\(16\) −1.00000 −0.250000
\(17\) −1.67627 −0.406555 −0.203277 0.979121i \(-0.565159\pi\)
−0.203277 + 0.979121i \(0.565159\pi\)
\(18\) 0.965926 0.258819i 0.227671 0.0610042i
\(19\) −0.0474662 0.177146i −0.0108895 0.0406401i 0.960267 0.279082i \(-0.0900301\pi\)
−0.971157 + 0.238442i \(0.923363\pi\)
\(20\) −0.711118 + 2.65393i −0.159011 + 0.593437i
\(21\) −2.33866 1.23721i −0.510336 0.269982i
\(22\) 1.10877 + 1.92045i 0.236391 + 0.409442i
\(23\) 0.546143i 0.113879i 0.998378 + 0.0569393i \(0.0181342\pi\)
−0.998378 + 0.0569393i \(0.981866\pi\)
\(24\) 0.258819 0.965926i 0.0528312 0.197169i
\(25\) 2.20753 + 1.27452i 0.441506 + 0.254903i
\(26\) 2.28627 2.78800i 0.448374 0.546773i
\(27\) 1.00000i 0.192450i
\(28\) −2.24078 + 1.40673i −0.423468 + 0.265847i
\(29\) −2.18139 + 3.77828i −0.405074 + 0.701609i −0.994330 0.106337i \(-0.966088\pi\)
0.589256 + 0.807946i \(0.299421\pi\)
\(30\) −2.37945 1.37378i −0.434426 0.250816i
\(31\) 2.02462 + 7.55600i 0.363633 + 1.35710i 0.869264 + 0.494347i \(0.164593\pi\)
−0.505631 + 0.862750i \(0.668740\pi\)
\(32\) −0.707107 0.707107i −0.125000 0.125000i
\(33\) −2.14199 + 0.573943i −0.372872 + 0.0999107i
\(34\) −1.18530 1.18530i −0.203277 0.203277i
\(35\) 2.13990 + 6.94723i 0.361709 + 1.17430i
\(36\) 0.866025 + 0.500000i 0.144338 + 0.0833333i
\(37\) 0.909963 0.909963i 0.149597 0.149597i −0.628341 0.777938i \(-0.716266\pi\)
0.777938 + 0.628341i \(0.216266\pi\)
\(38\) 0.0916976 0.158825i 0.0148753 0.0257648i
\(39\) 2.10128 + 2.92996i 0.336473 + 0.469168i
\(40\) −2.37945 + 1.37378i −0.376224 + 0.217213i
\(41\) −1.32782 4.95550i −0.207371 0.773919i −0.988714 0.149817i \(-0.952132\pi\)
0.781343 0.624102i \(-0.214535\pi\)
\(42\) −0.778839 2.52852i −0.120177 0.390159i
\(43\) −2.86766 + 1.65565i −0.437315 + 0.252484i −0.702458 0.711725i \(-0.747914\pi\)
0.265143 + 0.964209i \(0.414581\pi\)
\(44\) −0.573943 + 2.14199i −0.0865252 + 0.322917i
\(45\) 1.94281 1.94281i 0.289617 0.289617i
\(46\) −0.386181 + 0.386181i −0.0569393 + 0.0569393i
\(47\) 2.61197 9.74801i 0.380995 1.42189i −0.463389 0.886155i \(-0.653367\pi\)
0.844384 0.535738i \(-0.179967\pi\)
\(48\) 0.866025 0.500000i 0.125000 0.0721688i
\(49\) −3.04223 + 6.30435i −0.434604 + 0.900622i
\(50\) 0.659739 + 2.46218i 0.0933011 + 0.348205i
\(51\) 1.45169 0.838134i 0.203277 0.117362i
\(52\) 3.58805 0.354780i 0.497574 0.0491991i
\(53\) 1.78093 3.08467i 0.244630 0.423712i −0.717397 0.696664i \(-0.754667\pi\)
0.962028 + 0.272952i \(0.0880002\pi\)
\(54\) −0.707107 + 0.707107i −0.0962250 + 0.0962250i
\(55\) 5.27654 + 3.04641i 0.711488 + 0.410778i
\(56\) −2.57918 0.589766i −0.344658 0.0788107i
\(57\) 0.129680 + 0.129680i 0.0171765 + 0.0171765i
\(58\) −4.21412 + 1.12917i −0.553342 + 0.148267i
\(59\) −1.05173 1.05173i −0.136923 0.136923i 0.635323 0.772246i \(-0.280867\pi\)
−0.772246 + 0.635323i \(0.780867\pi\)
\(60\) −0.711118 2.65393i −0.0918050 0.342621i
\(61\) −11.8307 6.83046i −1.51477 0.874551i −0.999850 0.0173106i \(-0.994490\pi\)
−0.514917 0.857240i \(-0.672177\pi\)
\(62\) −3.91127 + 6.77452i −0.496732 + 0.860365i
\(63\) 2.64394 0.0978714i 0.333105 0.0123306i
\(64\) 1.00000i 0.125000i
\(65\) 1.60997 9.77473i 0.199692 1.21241i
\(66\) −1.92045 1.10877i −0.236391 0.136481i
\(67\) −1.82429 + 6.80833i −0.222872 + 0.831770i 0.760374 + 0.649486i \(0.225016\pi\)
−0.983246 + 0.182284i \(0.941651\pi\)
\(68\) 1.67627i 0.203277i
\(69\) −0.273071 0.472973i −0.0328739 0.0569393i
\(70\) −3.39930 + 6.42557i −0.406294 + 0.768003i
\(71\) 1.04867 3.91368i 0.124454 0.464469i −0.875366 0.483462i \(-0.839379\pi\)
0.999820 + 0.0189927i \(0.00604594\pi\)
\(72\) 0.258819 + 0.965926i 0.0305021 + 0.113835i
\(73\) 8.57385 2.29736i 1.00349 0.268885i 0.280585 0.959829i \(-0.409471\pi\)
0.722908 + 0.690944i \(0.242805\pi\)
\(74\) 1.28688 0.149597
\(75\) −2.54903 −0.294337
\(76\) 0.177146 0.0474662i 0.0203201 0.00544475i
\(77\) 1.72711 + 5.60711i 0.196823 + 0.638990i
\(78\) −0.585966 + 3.55762i −0.0663475 + 0.402821i
\(79\) 4.42139 + 7.65808i 0.497445 + 0.861601i 0.999996 0.00294723i \(-0.000938134\pi\)
−0.502550 + 0.864548i \(0.667605\pi\)
\(80\) −2.65393 0.711118i −0.296718 0.0795055i
\(81\) −0.500000 0.866025i −0.0555556 0.0962250i
\(82\) 2.56516 4.44298i 0.283274 0.490645i
\(83\) 11.3594 11.3594i 1.24686 1.24686i 0.289759 0.957100i \(-0.406425\pi\)
0.957100 0.289759i \(-0.0935751\pi\)
\(84\) 1.23721 2.33866i 0.134991 0.255168i
\(85\) −4.44870 1.19203i −0.482529 0.129293i
\(86\) −3.19846 0.857026i −0.344899 0.0924154i
\(87\) 4.36278i 0.467739i
\(88\) −1.92045 + 1.10877i −0.204721 + 0.118196i
\(89\) −11.3766 11.3766i −1.20592 1.20592i −0.972338 0.233579i \(-0.924956\pi\)
−0.233579 0.972338i \(-0.575044\pi\)
\(90\) 2.74755 0.289617
\(91\) 7.54097 5.84241i 0.790509 0.612451i
\(92\) −0.546143 −0.0569393
\(93\) −5.53137 5.53137i −0.573577 0.573577i
\(94\) 8.73983 5.04594i 0.901444 0.520449i
\(95\) 0.503888i 0.0516978i
\(96\) 0.965926 + 0.258819i 0.0985844 + 0.0264156i
\(97\) 15.6069 + 4.18186i 1.58464 + 0.424603i 0.940358 0.340185i \(-0.110490\pi\)
0.644282 + 0.764788i \(0.277156\pi\)
\(98\) −6.60903 + 2.30667i −0.667613 + 0.233009i
\(99\) 1.56804 1.56804i 0.157594 0.157594i
\(100\) −1.27452 + 2.20753i −0.127452 + 0.220753i
\(101\) −7.93535 13.7444i −0.789597 1.36762i −0.926214 0.376997i \(-0.876957\pi\)
0.136618 0.990624i \(-0.456377\pi\)
\(102\) 1.61915 + 0.433850i 0.160320 + 0.0429576i
\(103\) −4.73336 8.19841i −0.466391 0.807814i 0.532872 0.846196i \(-0.321113\pi\)
−0.999263 + 0.0383824i \(0.987779\pi\)
\(104\) 2.78800 + 2.28627i 0.273386 + 0.224187i
\(105\) −5.32682 4.94653i −0.519845 0.482732i
\(106\) 3.44050 0.921879i 0.334171 0.0895408i
\(107\) 3.20890 0.310216 0.155108 0.987897i \(-0.450427\pi\)
0.155108 + 0.987897i \(0.450427\pi\)
\(108\) −1.00000 −0.0962250
\(109\) 9.09049 2.43579i 0.870711 0.233306i 0.204316 0.978905i \(-0.434503\pi\)
0.666395 + 0.745599i \(0.267836\pi\)
\(110\) 1.57694 + 5.88521i 0.150355 + 0.561133i
\(111\) −0.333069 + 1.24303i −0.0316135 + 0.117983i
\(112\) −1.40673 2.24078i −0.132923 0.211734i
\(113\) 1.81014 + 3.13525i 0.170283 + 0.294940i 0.938519 0.345228i \(-0.112198\pi\)
−0.768235 + 0.640167i \(0.778865\pi\)
\(114\) 0.183395i 0.0171765i
\(115\) −0.388372 + 1.44942i −0.0362159 + 0.135160i
\(116\) −3.77828 2.18139i −0.350805 0.202537i
\(117\) −3.28474 1.48678i −0.303674 0.137453i
\(118\) 1.48737i 0.136923i
\(119\) −2.35806 3.75616i −0.216163 0.344326i
\(120\) 1.37378 2.37945i 0.125408 0.217213i
\(121\) −5.26759 3.04124i −0.478872 0.276477i
\(122\) −3.53571 13.1954i −0.320108 1.19466i
\(123\) 3.62768 + 3.62768i 0.327097 + 0.327097i
\(124\) −7.55600 + 2.02462i −0.678548 + 0.181817i
\(125\) −4.76177 4.76177i −0.425905 0.425905i
\(126\) 1.93875 + 1.80034i 0.172718 + 0.160387i
\(127\) 11.5855 + 6.68890i 1.02805 + 0.593544i 0.916425 0.400207i \(-0.131062\pi\)
0.111623 + 0.993751i \(0.464395\pi\)
\(128\) 0.707107 0.707107i 0.0625000 0.0625000i
\(129\) 1.65565 2.86766i 0.145772 0.252484i
\(130\) 8.05020 5.77336i 0.706049 0.506357i
\(131\) 16.7924 9.69509i 1.46716 0.847064i 0.467833 0.883817i \(-0.345035\pi\)
0.999324 + 0.0367535i \(0.0117016\pi\)
\(132\) −0.573943 2.14199i −0.0499554 0.186436i
\(133\) 0.330174 0.355558i 0.0286297 0.0308308i
\(134\) −6.10419 + 3.52425i −0.527321 + 0.304449i
\(135\) −0.711118 + 2.65393i −0.0612033 + 0.228414i
\(136\) 1.18530 1.18530i 0.101639 0.101639i
\(137\) −9.80752 + 9.80752i −0.837913 + 0.837913i −0.988584 0.150671i \(-0.951857\pi\)
0.150671 + 0.988584i \(0.451857\pi\)
\(138\) 0.141352 0.527533i 0.0120327 0.0449066i
\(139\) −13.7082 + 7.91444i −1.16272 + 0.671294i −0.951953 0.306243i \(-0.900928\pi\)
−0.210762 + 0.977537i \(0.567595\pi\)
\(140\) −6.94723 + 2.13990i −0.587149 + 0.180854i
\(141\) 2.61197 + 9.74801i 0.219968 + 0.820930i
\(142\) 3.50891 2.02587i 0.294461 0.170007i
\(143\) 1.29941 7.88918i 0.108662 0.659727i
\(144\) −0.500000 + 0.866025i −0.0416667 + 0.0721688i
\(145\) −8.47606 + 8.47606i −0.703899 + 0.703899i
\(146\) 7.68711 + 4.43815i 0.636189 + 0.367304i
\(147\) −0.517532 6.98084i −0.0426853 0.575770i
\(148\) 0.909963 + 0.909963i 0.0747985 + 0.0747985i
\(149\) 13.8974 3.72381i 1.13852 0.305066i 0.360165 0.932888i \(-0.382720\pi\)
0.778357 + 0.627822i \(0.216054\pi\)
\(150\) −1.80244 1.80244i −0.147169 0.147169i
\(151\) −0.602340 2.24796i −0.0490177 0.182937i 0.937076 0.349124i \(-0.113521\pi\)
−0.986094 + 0.166188i \(0.946854\pi\)
\(152\) 0.158825 + 0.0916976i 0.0128824 + 0.00743766i
\(153\) −0.838134 + 1.45169i −0.0677591 + 0.117362i
\(154\) −2.74357 + 5.18608i −0.221083 + 0.417906i
\(155\) 21.4928i 1.72635i
\(156\) −2.92996 + 2.10128i −0.234584 + 0.168237i
\(157\) 4.62239 + 2.66874i 0.368907 + 0.212988i 0.672981 0.739660i \(-0.265014\pi\)
−0.304074 + 0.952648i \(0.598347\pi\)
\(158\) −2.28868 + 8.54147i −0.182078 + 0.679523i
\(159\) 3.56187i 0.282474i
\(160\) −1.37378 2.37945i −0.108606 0.188112i
\(161\) −1.22379 + 0.768275i −0.0964480 + 0.0605486i
\(162\) 0.258819 0.965926i 0.0203347 0.0758903i
\(163\) 1.44909 + 5.40806i 0.113501 + 0.423592i 0.999170 0.0407246i \(-0.0129666\pi\)
−0.885669 + 0.464317i \(0.846300\pi\)
\(164\) 4.95550 1.32782i 0.386960 0.103686i
\(165\) −6.09282 −0.474326
\(166\) 16.0646 1.24686
\(167\) −6.88324 + 1.84436i −0.532641 + 0.142721i −0.515108 0.857126i \(-0.672248\pi\)
−0.0175335 + 0.999846i \(0.505581\pi\)
\(168\) 2.52852 0.778839i 0.195080 0.0600887i
\(169\) −12.7483 + 2.54594i −0.980636 + 0.195841i
\(170\) −2.30282 3.98859i −0.176618 0.305911i
\(171\) −0.177146 0.0474662i −0.0135467 0.00362983i
\(172\) −1.65565 2.86766i −0.126242 0.218657i
\(173\) 1.42127 2.46170i 0.108057 0.187160i −0.806926 0.590652i \(-0.798871\pi\)
0.914983 + 0.403492i \(0.132204\pi\)
\(174\) 3.08495 3.08495i 0.233870 0.233870i
\(175\) 0.249478 + 6.73949i 0.0188587 + 0.509458i
\(176\) −2.14199 0.573943i −0.161458 0.0432626i
\(177\) 1.43669 + 0.384959i 0.107988 + 0.0289353i
\(178\) 16.0889i 1.20592i
\(179\) −22.1165 + 12.7690i −1.65307 + 0.954399i −0.677266 + 0.735738i \(0.736835\pi\)
−0.975801 + 0.218661i \(0.929831\pi\)
\(180\) 1.94281 + 1.94281i 0.144809 + 0.144809i
\(181\) 16.1216 1.19831 0.599155 0.800633i \(-0.295503\pi\)
0.599155 + 0.800633i \(0.295503\pi\)
\(182\) 9.46348 + 1.20107i 0.701480 + 0.0890292i
\(183\) 13.6609 1.00984
\(184\) −0.386181 0.386181i −0.0284697 0.0284697i
\(185\) 3.06207 1.76789i 0.225128 0.129978i
\(186\) 7.82254i 0.573577i
\(187\) −3.59054 0.962083i −0.262567 0.0703545i
\(188\) 9.74801 + 2.61197i 0.710947 + 0.190498i
\(189\) −2.24078 + 1.40673i −0.162993 + 0.102325i
\(190\) 0.356302 0.356302i 0.0258489 0.0258489i
\(191\) −0.816556 + 1.41432i −0.0590839 + 0.102336i −0.894054 0.447958i \(-0.852151\pi\)
0.834971 + 0.550295i \(0.185485\pi\)
\(192\) 0.500000 + 0.866025i 0.0360844 + 0.0625000i
\(193\) −9.13997 2.44905i −0.657910 0.176286i −0.0856072 0.996329i \(-0.527283\pi\)
−0.572303 + 0.820043i \(0.693950\pi\)
\(194\) 8.07872 + 13.9928i 0.580019 + 1.00462i
\(195\) 3.49309 + 9.27015i 0.250146 + 0.663849i
\(196\) −6.30435 3.04223i −0.450311 0.217302i
\(197\) 10.9689 2.93910i 0.781500 0.209402i 0.154054 0.988062i \(-0.450767\pi\)
0.627446 + 0.778660i \(0.284100\pi\)
\(198\) 2.21755 0.157594
\(199\) −18.1047 −1.28340 −0.641702 0.766954i \(-0.721772\pi\)
−0.641702 + 0.766954i \(0.721772\pi\)
\(200\) −2.46218 + 0.659739i −0.174102 + 0.0466506i
\(201\) −1.82429 6.80833i −0.128675 0.480223i
\(202\) 4.10764 15.3299i 0.289012 1.07861i
\(203\) −11.5349 + 0.426992i −0.809594 + 0.0299689i
\(204\) 0.838134 + 1.45169i 0.0586811 + 0.101639i
\(205\) 14.0958i 0.984493i
\(206\) 2.45017 9.14414i 0.170711 0.637102i
\(207\) 0.472973 + 0.273071i 0.0328739 + 0.0189798i
\(208\) 0.354780 + 3.58805i 0.0245996 + 0.248787i
\(209\) 0.406688i 0.0281312i
\(210\) −0.268907 7.26436i −0.0185563 0.501288i
\(211\) 0.00906917 0.0157083i 0.000624347 0.00108140i −0.865713 0.500541i \(-0.833135\pi\)
0.866337 + 0.499459i \(0.166468\pi\)
\(212\) 3.08467 + 1.78093i 0.211856 + 0.122315i
\(213\) 1.04867 + 3.91368i 0.0718536 + 0.268161i
\(214\) 2.26904 + 2.26904i 0.155108 + 0.155108i
\(215\) −8.78794 + 2.35472i −0.599332 + 0.160591i
\(216\) −0.707107 0.707107i −0.0481125 0.0481125i
\(217\) −14.0833 + 15.1660i −0.956034 + 1.02953i
\(218\) 8.15031 + 4.70559i 0.552009 + 0.318702i
\(219\) −6.27650 + 6.27650i −0.424126 + 0.424126i
\(220\) −3.04641 + 5.27654i −0.205389 + 0.355744i
\(221\) 0.594706 + 6.01454i 0.0400043 + 0.404582i
\(222\) −1.11447 + 0.643441i −0.0747985 + 0.0431849i
\(223\) 3.72027 + 13.8843i 0.249128 + 0.929758i 0.971264 + 0.238007i \(0.0764940\pi\)
−0.722136 + 0.691752i \(0.756839\pi\)
\(224\) 0.589766 2.57918i 0.0394054 0.172329i
\(225\) 2.20753 1.27452i 0.147169 0.0849678i
\(226\) −0.936996 + 3.49692i −0.0623281 + 0.232612i
\(227\) −2.92840 + 2.92840i −0.194365 + 0.194365i −0.797579 0.603214i \(-0.793886\pi\)
0.603214 + 0.797579i \(0.293886\pi\)
\(228\) −0.129680 + 0.129680i −0.00858827 + 0.00858827i
\(229\) −2.25923 + 8.43158i −0.149294 + 0.557174i 0.850232 + 0.526408i \(0.176461\pi\)
−0.999527 + 0.0307665i \(0.990205\pi\)
\(230\) −1.29952 + 0.750277i −0.0856877 + 0.0494718i
\(231\) −4.29928 3.99234i −0.282872 0.262677i
\(232\) −1.12917 4.21412i −0.0741337 0.276671i
\(233\) 5.73199 3.30937i 0.375515 0.216804i −0.300350 0.953829i \(-0.597103\pi\)
0.675865 + 0.737025i \(0.263770\pi\)
\(234\) −1.27135 3.37397i −0.0831106 0.220563i
\(235\) 13.8640 24.0131i 0.904386 1.56644i
\(236\) 1.05173 1.05173i 0.0684617 0.0684617i
\(237\) −7.65808 4.42139i −0.497445 0.287200i
\(238\) 0.988606 4.32340i 0.0640818 0.280244i
\(239\) −4.05600 4.05600i −0.262361 0.262361i 0.563652 0.826013i \(-0.309396\pi\)
−0.826013 + 0.563652i \(0.809396\pi\)
\(240\) 2.65393 0.711118i 0.171310 0.0459025i
\(241\) 6.36407 + 6.36407i 0.409946 + 0.409946i 0.881720 0.471774i \(-0.156386\pi\)
−0.471774 + 0.881720i \(0.656386\pi\)
\(242\) −1.57426 5.87523i −0.101197 0.377674i
\(243\) 0.866025 + 0.500000i 0.0555556 + 0.0320750i
\(244\) 6.83046 11.8307i 0.437275 0.757383i
\(245\) −12.5570 + 14.5679i −0.802237 + 0.930711i
\(246\) 5.13031i 0.327097i
\(247\) −0.618770 + 0.233159i −0.0393714 + 0.0148356i
\(248\) −6.77452 3.91127i −0.430183 0.248366i
\(249\) −4.15784 + 15.5173i −0.263492 + 0.983366i
\(250\) 6.73415i 0.425905i
\(251\) −7.77241 13.4622i −0.490590 0.849727i 0.509351 0.860559i \(-0.329885\pi\)
−0.999941 + 0.0108317i \(0.996552\pi\)
\(252\) 0.0978714 + 2.64394i 0.00616532 + 0.166553i
\(253\) −0.313455 + 1.16983i −0.0197067 + 0.0735466i
\(254\) 3.46243 + 12.9220i 0.217252 + 0.810796i
\(255\) 4.44870 1.19203i 0.278588 0.0746475i
\(256\) 1.00000 0.0625000
\(257\) 7.17059 0.447289 0.223645 0.974671i \(-0.428204\pi\)
0.223645 + 0.974671i \(0.428204\pi\)
\(258\) 3.19846 0.857026i 0.199128 0.0533561i
\(259\) 3.31910 + 0.758958i 0.206239 + 0.0471594i
\(260\) 9.77473 + 1.60997i 0.606203 + 0.0998461i
\(261\) 2.18139 + 3.77828i 0.135025 + 0.233870i
\(262\) 18.7295 + 5.01855i 1.15711 + 0.310047i
\(263\) −3.61004 6.25278i −0.222605 0.385563i 0.732993 0.680236i \(-0.238123\pi\)
−0.955598 + 0.294673i \(0.904789\pi\)
\(264\) 1.10877 1.92045i 0.0682403 0.118196i
\(265\) 6.92004 6.92004i 0.425094 0.425094i
\(266\) 0.484886 0.0179492i 0.0297303 0.00110053i
\(267\) 15.5407 + 4.16412i 0.951077 + 0.254840i
\(268\) −6.80833 1.82429i −0.415885 0.111436i
\(269\) 2.01410i 0.122802i 0.998113 + 0.0614010i \(0.0195568\pi\)
−0.998113 + 0.0614010i \(0.980443\pi\)
\(270\) −2.37945 + 1.37378i −0.144809 + 0.0836053i
\(271\) −16.1973 16.1973i −0.983917 0.983917i 0.0159559 0.999873i \(-0.494921\pi\)
−0.999873 + 0.0159559i \(0.994921\pi\)
\(272\) 1.67627 0.101639
\(273\) −3.60947 + 8.83016i −0.218455 + 0.534426i
\(274\) −13.8699 −0.837913
\(275\) 3.99699 + 3.99699i 0.241028 + 0.241028i
\(276\) 0.472973 0.273071i 0.0284697 0.0164370i
\(277\) 25.5542i 1.53540i −0.640808 0.767702i \(-0.721400\pi\)
0.640808 0.767702i \(-0.278600\pi\)
\(278\) −15.2895 4.09682i −0.917005 0.245711i
\(279\) 7.55600 + 2.02462i 0.452366 + 0.121211i
\(280\) −6.42557 3.39930i −0.384001 0.203147i
\(281\) −10.1284 + 10.1284i −0.604210 + 0.604210i −0.941427 0.337217i \(-0.890514\pi\)
0.337217 + 0.941427i \(0.390514\pi\)
\(282\) −5.04594 + 8.73983i −0.300481 + 0.520449i
\(283\) 15.2040 + 26.3342i 0.903786 + 1.56540i 0.822539 + 0.568709i \(0.192557\pi\)
0.0812472 + 0.996694i \(0.474110\pi\)
\(284\) 3.91368 + 1.04867i 0.232234 + 0.0622270i
\(285\) 0.251944 + 0.436380i 0.0149239 + 0.0258489i
\(286\) 6.49731 4.65968i 0.384194 0.275532i
\(287\) 9.23632 9.94641i 0.545203 0.587118i
\(288\) −0.965926 + 0.258819i −0.0569177 + 0.0152511i
\(289\) −14.1901 −0.834713
\(290\) −11.9870 −0.703899
\(291\) −15.6069 + 4.18186i −0.914892 + 0.245145i
\(292\) 2.29736 + 8.57385i 0.134443 + 0.501747i
\(293\) −1.88727 + 7.04340i −0.110256 + 0.411480i −0.998888 0.0471399i \(-0.984989\pi\)
0.888633 + 0.458620i \(0.151656\pi\)
\(294\) 4.57025 5.30215i 0.266542 0.309228i
\(295\) −2.04331 3.53912i −0.118966 0.206055i
\(296\) 1.28688i 0.0747985i
\(297\) −0.573943 + 2.14199i −0.0333036 + 0.124291i
\(298\) 12.4601 + 7.19384i 0.721794 + 0.416728i
\(299\) 1.95959 0.193760i 0.113326 0.0112055i
\(300\) 2.54903i 0.147169i
\(301\) −7.74397 4.09677i −0.446355 0.236134i
\(302\) 1.16363 2.01547i 0.0669594 0.115977i
\(303\) 13.7444 + 7.93535i 0.789597 + 0.455874i
\(304\) 0.0474662 + 0.177146i 0.00272237 + 0.0101600i
\(305\) −26.5406 26.5406i −1.51971 1.51971i
\(306\) −1.61915 + 0.433850i −0.0925607 + 0.0248016i
\(307\) 1.04129 + 1.04129i 0.0594295 + 0.0594295i 0.736197 0.676767i \(-0.236620\pi\)
−0.676767 + 0.736197i \(0.736620\pi\)
\(308\) −5.60711 + 1.72711i −0.319495 + 0.0984113i
\(309\) 8.19841 + 4.73336i 0.466391 + 0.269271i
\(310\) −15.1977 + 15.1977i −0.863173 + 0.863173i
\(311\) −10.3053 + 17.8493i −0.584360 + 1.01214i 0.410594 + 0.911818i \(0.365321\pi\)
−0.994955 + 0.100324i \(0.968012\pi\)
\(312\) −3.55762 0.585966i −0.201410 0.0331738i
\(313\) −8.86536 + 5.11842i −0.501100 + 0.289310i −0.729168 0.684335i \(-0.760093\pi\)
0.228068 + 0.973645i \(0.426759\pi\)
\(314\) 1.38144 + 5.15561i 0.0779592 + 0.290948i
\(315\) 7.08643 + 1.62041i 0.399275 + 0.0912998i
\(316\) −7.65808 + 4.42139i −0.430800 + 0.248723i
\(317\) 0.0964049 0.359788i 0.00541464 0.0202077i −0.963166 0.268909i \(-0.913337\pi\)
0.968580 + 0.248701i \(0.0800037\pi\)
\(318\) −2.51862 + 2.51862i −0.141237 + 0.141237i
\(319\) −6.84103 + 6.84103i −0.383024 + 0.383024i
\(320\) 0.711118 2.65393i 0.0397527 0.148359i
\(321\) −2.77899 + 1.60445i −0.155108 + 0.0895517i
\(322\) −1.40860 0.322096i −0.0784983 0.0179497i
\(323\) 0.0795661 + 0.296945i 0.00442718 + 0.0165224i
\(324\) 0.866025 0.500000i 0.0481125 0.0277778i
\(325\) 3.78985 8.37290i 0.210223 0.464445i
\(326\) −2.79942 + 4.84873i −0.155045 + 0.268547i
\(327\) −6.65470 + 6.65470i −0.368006 + 0.368006i
\(328\) 4.44298 + 2.56516i 0.245323 + 0.141637i
\(329\) 25.5175 7.85995i 1.40683 0.433333i
\(330\) −4.30828 4.30828i −0.237163 0.237163i
\(331\) 12.8651 3.44719i 0.707129 0.189475i 0.112707 0.993628i \(-0.464048\pi\)
0.594422 + 0.804154i \(0.297381\pi\)
\(332\) 11.3594 + 11.3594i 0.623429 + 0.623429i
\(333\) −0.333069 1.24303i −0.0182521 0.0681177i
\(334\) −6.17134 3.56303i −0.337681 0.194960i
\(335\) −9.68306 + 16.7716i −0.529042 + 0.916328i
\(336\) 2.33866 + 1.23721i 0.127584 + 0.0674954i
\(337\) 22.8350i 1.24390i 0.783057 + 0.621950i \(0.213659\pi\)
−0.783057 + 0.621950i \(0.786341\pi\)
\(338\) −10.8146 7.21413i −0.588239 0.392397i
\(339\) −3.13525 1.81014i −0.170283 0.0983132i
\(340\) 1.19203 4.44870i 0.0646467 0.241265i
\(341\) 17.3469i 0.939385i
\(342\) −0.0916976 0.158825i −0.00495844 0.00858827i
\(343\) −18.4063 + 2.05155i −0.993846 + 0.110773i
\(344\) 0.857026 3.19846i 0.0462077 0.172450i
\(345\) −0.388372 1.44942i −0.0209093 0.0780344i
\(346\) 2.74567 0.735701i 0.147608 0.0395515i
\(347\) 14.8824 0.798927 0.399463 0.916749i \(-0.369196\pi\)
0.399463 + 0.916749i \(0.369196\pi\)
\(348\) 4.36278 0.233870
\(349\) −9.60502 + 2.57366i −0.514145 + 0.137765i −0.506557 0.862206i \(-0.669082\pi\)
−0.00758807 + 0.999971i \(0.502415\pi\)
\(350\) −4.58913 + 4.94195i −0.245300 + 0.264158i
\(351\) 3.58805 0.354780i 0.191516 0.0189367i
\(352\) −1.10877 1.92045i −0.0590978 0.102360i
\(353\) 20.9560 + 5.61514i 1.11538 + 0.298864i 0.769011 0.639236i \(-0.220749\pi\)
0.346365 + 0.938100i \(0.387416\pi\)
\(354\) 0.743684 + 1.28810i 0.0395264 + 0.0684617i
\(355\) 5.56619 9.64092i 0.295422 0.511687i
\(356\) 11.3766 11.3766i 0.602958 0.602958i
\(357\) 3.92021 + 2.07390i 0.207480 + 0.109762i
\(358\) −24.6678 6.60971i −1.30373 0.349334i
\(359\) −25.3972 6.80517i −1.34042 0.359163i −0.483827 0.875164i \(-0.660754\pi\)
−0.856588 + 0.516000i \(0.827420\pi\)
\(360\) 2.74755i 0.144809i
\(361\) 16.4254 9.48318i 0.864492 0.499115i
\(362\) 11.3997 + 11.3997i 0.599155 + 0.599155i
\(363\) 6.08249 0.319248
\(364\) 5.84241 + 7.54097i 0.306225 + 0.395254i
\(365\) 24.3881 1.27653
\(366\) 9.65973 + 9.65973i 0.504922 + 0.504922i
\(367\) −7.79817 + 4.50227i −0.407061 + 0.235017i −0.689526 0.724261i \(-0.742181\pi\)
0.282465 + 0.959278i \(0.408848\pi\)
\(368\) 0.546143i 0.0284697i
\(369\) −4.95550 1.32782i −0.257973 0.0691237i
\(370\) 3.41529 + 0.915125i 0.177553 + 0.0475751i
\(371\) 9.41736 0.348605i 0.488925 0.0180987i
\(372\) 5.53137 5.53137i 0.286788 0.286788i
\(373\) 13.3657 23.1501i 0.692049 1.19866i −0.279116 0.960257i \(-0.590041\pi\)
0.971165 0.238407i \(-0.0766253\pi\)
\(374\) −1.85860 3.21919i −0.0961060 0.166461i
\(375\) 6.50469 + 1.74293i 0.335901 + 0.0900044i
\(376\) 5.04594 + 8.73983i 0.260225 + 0.450722i
\(377\) 14.3306 + 6.48649i 0.738063 + 0.334071i
\(378\) −2.57918 0.589766i −0.132659 0.0303343i
\(379\) −10.5843 + 2.83605i −0.543678 + 0.145678i −0.520197 0.854046i \(-0.674142\pi\)
−0.0234808 + 0.999724i \(0.507475\pi\)
\(380\) 0.503888 0.0258489
\(381\) −13.3778 −0.685365
\(382\) −1.57746 + 0.422680i −0.0807101 + 0.0216262i
\(383\) 6.03951 + 22.5398i 0.308604 + 1.15173i 0.929798 + 0.368070i \(0.119981\pi\)
−0.621193 + 0.783657i \(0.713352\pi\)
\(384\) −0.258819 + 0.965926i −0.0132078 + 0.0492922i
\(385\) 0.596313 + 16.1091i 0.0303909 + 0.820994i
\(386\) −4.73120 8.19468i −0.240812 0.417098i
\(387\) 3.31129i 0.168322i
\(388\) −4.18186 + 15.6069i −0.212302 + 0.792320i
\(389\) 24.3558 + 14.0618i 1.23489 + 0.712962i 0.968044 0.250779i \(-0.0806866\pi\)
0.266842 + 0.963740i \(0.414020\pi\)
\(390\) −4.08500 + 9.02498i −0.206852 + 0.456998i
\(391\) 0.915482i 0.0462979i
\(392\) −2.30667 6.60903i −0.116505 0.333806i
\(393\) −9.69509 + 16.7924i −0.489052 + 0.847064i
\(394\) 9.83442 + 5.67791i 0.495451 + 0.286049i
\(395\) 6.28827 + 23.4681i 0.316397 + 1.18081i
\(396\) 1.56804 + 1.56804i 0.0787971 + 0.0787971i
\(397\) −21.1092 + 5.65620i −1.05944 + 0.283877i −0.746148 0.665780i \(-0.768099\pi\)
−0.313294 + 0.949656i \(0.601432\pi\)
\(398\) −12.8019 12.8019i −0.641702 0.641702i
\(399\) −0.108160 + 0.473010i −0.00541478 + 0.0236801i
\(400\) −2.20753 1.27452i −0.110376 0.0637259i
\(401\) 14.5359 14.5359i 0.725888 0.725888i −0.243910 0.969798i \(-0.578430\pi\)
0.969798 + 0.243910i \(0.0784301\pi\)
\(402\) 3.52425 6.10419i 0.175774 0.304449i
\(403\) 26.3930 9.94517i 1.31473 0.495404i
\(404\) 13.7444 7.93535i 0.683811 0.394798i
\(405\) −0.711118 2.65393i −0.0353358 0.131875i
\(406\) −8.45836 7.85450i −0.419781 0.389812i
\(407\) 2.47139 1.42686i 0.122502 0.0707268i
\(408\) −0.433850 + 1.61915i −0.0214788 + 0.0801599i
\(409\) −27.9592 + 27.9592i −1.38249 + 1.38249i −0.542319 + 0.840173i \(0.682453\pi\)
−0.840173 + 0.542319i \(0.817547\pi\)
\(410\) 9.96723 9.96723i 0.492246 0.492246i
\(411\) 3.58980 13.3973i 0.177072 0.660841i
\(412\) 8.19841 4.73336i 0.403907 0.233196i
\(413\) 0.877199 3.83619i 0.0431641 0.188767i
\(414\) 0.141352 + 0.527533i 0.00694708 + 0.0259269i
\(415\) 38.2250 22.0692i 1.87639 1.08334i
\(416\) −2.28627 + 2.78800i −0.112094 + 0.136693i
\(417\) 7.91444 13.7082i 0.387572 0.671294i
\(418\) 0.287572 0.287572i 0.0140656 0.0140656i
\(419\) 19.3975 + 11.1991i 0.947629 + 0.547114i 0.892343 0.451357i \(-0.149060\pi\)
0.0552851 + 0.998471i \(0.482393\pi\)
\(420\) 4.94653 5.32682i 0.241366 0.259922i
\(421\) −5.11816 5.11816i −0.249444 0.249444i 0.571299 0.820742i \(-0.306440\pi\)
−0.820742 + 0.571299i \(0.806440\pi\)
\(422\) 0.0175203 0.00469455i 0.000852874 0.000228527i
\(423\) −7.13604 7.13604i −0.346966 0.346966i
\(424\) 0.921879 + 3.44050i 0.0447704 + 0.167085i
\(425\) −3.70041 2.13643i −0.179496 0.103632i
\(426\) −2.02587 + 3.50891i −0.0981538 + 0.170007i
\(427\) −1.33701 36.1187i −0.0647026 1.74790i
\(428\) 3.20890i 0.155108i
\(429\) 2.81927 + 7.48194i 0.136116 + 0.361231i
\(430\) −7.87905 4.54897i −0.379962 0.219371i
\(431\) −9.76457 + 36.4419i −0.470343 + 1.75534i 0.168196 + 0.985754i \(0.446206\pi\)
−0.638539 + 0.769589i \(0.720461\pi\)
\(432\) 1.00000i 0.0481125i
\(433\) −18.4530 31.9616i −0.886795 1.53597i −0.843642 0.536906i \(-0.819593\pi\)
−0.0431533 0.999068i \(-0.513740\pi\)
\(434\) −20.6823 + 0.765603i −0.992784 + 0.0367501i
\(435\) 3.10245 11.5785i 0.148751 0.555148i
\(436\) 2.43579 + 9.09049i 0.116653 + 0.435356i
\(437\) 0.0967471 0.0259233i 0.00462804 0.00124008i
\(438\) −8.87631 −0.424126
\(439\) 10.1657 0.485185 0.242592 0.970128i \(-0.422002\pi\)
0.242592 + 0.970128i \(0.422002\pi\)
\(440\) −5.88521 + 1.57694i −0.280567 + 0.0751776i
\(441\) 3.93862 + 5.78682i 0.187553 + 0.275563i
\(442\) −3.83240 + 4.67344i −0.182289 + 0.222293i
\(443\) −1.02220 1.77050i −0.0485662 0.0841192i 0.840720 0.541470i \(-0.182132\pi\)
−0.889287 + 0.457350i \(0.848799\pi\)
\(444\) −1.24303 0.333069i −0.0589917 0.0158068i
\(445\) −22.1026 38.2828i −1.04776 1.81478i
\(446\) −7.18702 + 12.4483i −0.340315 + 0.589443i
\(447\) −10.1736 + 10.1736i −0.481196 + 0.481196i
\(448\) 2.24078 1.40673i 0.105867 0.0664617i
\(449\) −19.3298 5.17939i −0.912228 0.244431i −0.227968 0.973669i \(-0.573208\pi\)
−0.684260 + 0.729238i \(0.739875\pi\)
\(450\) 2.46218 + 0.659739i 0.116068 + 0.0311004i
\(451\) 11.3767i 0.535708i
\(452\) −3.13525 + 1.81014i −0.147470 + 0.0851417i
\(453\) 1.64562 + 1.64562i 0.0773181 + 0.0773181i
\(454\) −4.14138 −0.194365
\(455\) 24.1679 10.1428i 1.13301 0.475502i
\(456\) −0.183395 −0.00858827
\(457\) −23.3378 23.3378i −1.09170 1.09170i −0.995347 0.0963505i \(-0.969283\pi\)
−0.0963505 0.995347i \(-0.530717\pi\)
\(458\) −7.55955 + 4.36451i −0.353234 + 0.203940i
\(459\) 1.67627i 0.0782415i
\(460\) −1.44942 0.388372i −0.0675798 0.0181079i
\(461\) 13.7371 + 3.68085i 0.639801 + 0.171434i 0.564113 0.825697i \(-0.309218\pi\)
0.0756877 + 0.997132i \(0.475885\pi\)
\(462\) −0.217034 5.86306i −0.0100974 0.272774i
\(463\) −15.3894 + 15.3894i −0.715207 + 0.715207i −0.967620 0.252412i \(-0.918776\pi\)
0.252412 + 0.967620i \(0.418776\pi\)
\(464\) 2.18139 3.77828i 0.101269 0.175402i
\(465\) −10.7464 18.6133i −0.498353 0.863173i
\(466\) 6.39321 + 1.71305i 0.296160 + 0.0793557i
\(467\) −20.4707 35.4563i −0.947272 1.64072i −0.751136 0.660147i \(-0.770494\pi\)
−0.196136 0.980577i \(-0.562840\pi\)
\(468\) 1.48678 3.28474i 0.0687264 0.151837i
\(469\) −17.8223 + 5.48965i −0.822957 + 0.253488i
\(470\) 26.7831 7.17652i 1.23541 0.331028i
\(471\) −5.33748 −0.245938
\(472\) 1.48737 0.0684617
\(473\) −7.09274 + 1.90049i −0.326125 + 0.0873848i
\(474\) −2.28868 8.54147i −0.105123 0.392323i
\(475\) 0.120993 0.451552i 0.00555154 0.0207186i
\(476\) 3.75616 2.35806i 0.172163 0.108081i
\(477\) −1.78093 3.08467i −0.0815433 0.141237i
\(478\) 5.73605i 0.262361i
\(479\) 3.00600 11.2186i 0.137348 0.512589i −0.862629 0.505836i \(-0.831184\pi\)
0.999977 0.00675234i \(-0.00214935\pi\)
\(480\) 2.37945 + 1.37378i 0.108606 + 0.0627040i
\(481\) −3.58783 2.94216i −0.163591 0.134151i
\(482\) 9.00015i 0.409946i
\(483\) 0.675694 1.27724i 0.0307451 0.0581164i
\(484\) 3.04124 5.26759i 0.138238 0.239436i
\(485\) 38.4458 + 22.1967i 1.74573 + 1.00790i
\(486\) 0.258819 + 0.965926i 0.0117403 + 0.0438153i
\(487\) 7.41455 + 7.41455i 0.335986 + 0.335986i 0.854854 0.518869i \(-0.173647\pi\)
−0.518869 + 0.854854i \(0.673647\pi\)
\(488\) 13.1954 3.53571i 0.597329 0.160054i
\(489\) −3.95898 3.95898i −0.179031 0.179031i
\(490\) −19.1802 + 1.42195i −0.866474 + 0.0642370i
\(491\) −3.98650 2.30160i −0.179908 0.103870i 0.407341 0.913276i \(-0.366456\pi\)
−0.587249 + 0.809406i \(0.699789\pi\)
\(492\) −3.62768 + 3.62768i −0.163548 + 0.163548i
\(493\) 3.65660 6.33341i 0.164685 0.285243i
\(494\) −0.602405 0.272668i −0.0271035 0.0122679i
\(495\) 5.27654 3.04641i 0.237163 0.136926i
\(496\) −2.02462 7.55600i −0.0909083 0.339274i
\(497\) 10.2449 3.15566i 0.459547 0.141550i
\(498\) −13.9124 + 8.03232i −0.623429 + 0.359937i
\(499\) 3.26150 12.1721i 0.146005 0.544897i −0.853704 0.520759i \(-0.825649\pi\)
0.999709 0.0241385i \(-0.00768426\pi\)
\(500\) 4.76177 4.76177i 0.212953 0.212953i
\(501\) 5.03888 5.03888i 0.225121 0.225121i
\(502\) 4.02329 15.0151i 0.179568 0.670159i
\(503\) −25.3394 + 14.6297i −1.12983 + 0.652306i −0.943891 0.330256i \(-0.892865\pi\)
−0.185936 + 0.982562i \(0.559532\pi\)
\(504\) −1.80034 + 1.93875i −0.0801936 + 0.0863590i
\(505\) −11.2859 42.1197i −0.502218 1.87430i
\(506\) −1.04884 + 0.605549i −0.0466267 + 0.0269199i
\(507\) 9.76735 8.57898i 0.433783 0.381006i
\(508\) −6.68890 + 11.5855i −0.296772 + 0.514024i
\(509\) −17.3157 + 17.3157i −0.767504 + 0.767504i −0.977666 0.210163i \(-0.932601\pi\)
0.210163 + 0.977666i \(0.432601\pi\)
\(510\) 3.98859 + 2.30282i 0.176618 + 0.101970i
\(511\) 17.2090 + 15.9804i 0.761280 + 0.706931i
\(512\) 0.707107 + 0.707107i 0.0312500 + 0.0312500i
\(513\) 0.177146 0.0474662i 0.00782120 0.00209568i
\(514\) 5.07038 + 5.07038i 0.223645 + 0.223645i
\(515\) −6.73195 25.1240i −0.296645 1.10710i
\(516\) 2.86766 + 1.65565i 0.126242 + 0.0728858i
\(517\) 11.1896 19.3810i 0.492118 0.852374i
\(518\) 1.81029 + 2.88362i 0.0795397 + 0.126699i
\(519\) 2.84253i 0.124773i
\(520\) 5.77336 + 8.05020i 0.253179 + 0.353025i
\(521\) 7.83904 + 4.52587i 0.343434 + 0.198282i 0.661790 0.749690i \(-0.269797\pi\)
−0.318355 + 0.947971i \(0.603131\pi\)
\(522\) −1.12917 + 4.21412i −0.0494225 + 0.184447i
\(523\) 6.35492i 0.277881i −0.990301 0.138941i \(-0.955630\pi\)
0.990301 0.138941i \(-0.0443697\pi\)
\(524\) 9.69509 + 16.7924i 0.423532 + 0.733579i
\(525\) −3.58580 5.71183i −0.156497 0.249285i
\(526\) 1.86870 6.97407i 0.0814790 0.304084i
\(527\) −3.39381 12.6659i −0.147837 0.551734i
\(528\) 2.14199 0.573943i 0.0932180 0.0249777i
\(529\) 22.7017 0.987032
\(530\) 9.78641 0.425094
\(531\) −1.43669 + 0.384959i −0.0623469 + 0.0167058i
\(532\) 0.355558 + 0.330174i 0.0154154 + 0.0143149i
\(533\) −17.3095 + 6.52241i −0.749759 + 0.282517i
\(534\) 8.04447 + 13.9334i 0.348118 + 0.602958i
\(535\) 8.51620 + 2.28191i 0.368188 + 0.0986556i
\(536\) −3.52425 6.10419i −0.152225 0.263661i
\(537\) 12.7690 22.1165i 0.551022 0.954399i
\(538\) −1.42419 + 1.42419i −0.0614010 + 0.0614010i
\(539\) −10.1347 + 11.7578i −0.436534 + 0.506443i
\(540\) −2.65393 0.711118i −0.114207 0.0306017i
\(541\) 1.59127 + 0.426380i 0.0684142 + 0.0183315i 0.292864 0.956154i \(-0.405392\pi\)
−0.224450 + 0.974486i \(0.572058\pi\)
\(542\) 22.9065i 0.983917i
\(543\) −13.9617 + 8.06081i −0.599155 + 0.345923i
\(544\) 1.18530 + 1.18530i 0.0508194 + 0.0508194i
\(545\) 25.8577 1.10762
\(546\) −8.79615 + 3.69158i −0.376440 + 0.157985i
\(547\) 30.4255 1.30090 0.650451 0.759548i \(-0.274580\pi\)
0.650451 + 0.759548i \(0.274580\pi\)
\(548\) −9.80752 9.80752i −0.418956 0.418956i
\(549\) −11.8307 + 6.83046i −0.504922 + 0.291517i
\(550\) 5.65260i 0.241028i
\(551\) 0.772850 + 0.207085i 0.0329245 + 0.00882210i
\(552\) 0.527533 + 0.141352i 0.0224533 + 0.00601635i
\(553\) −10.9404 + 20.6802i −0.465233 + 0.879413i
\(554\) 18.0695 18.0695i 0.767702 0.767702i
\(555\) −1.76789 + 3.06207i −0.0750426 + 0.129978i
\(556\) −7.91444 13.7082i −0.335647 0.581358i
\(557\) −32.4300 8.68959i −1.37410 0.368190i −0.505127 0.863045i \(-0.668555\pi\)
−0.868976 + 0.494855i \(0.835221\pi\)
\(558\) 3.91127 + 6.77452i 0.165577 + 0.286788i
\(559\) 6.95794 + 9.70194i 0.294289 + 0.410348i
\(560\) −2.13990 6.94723i −0.0904272 0.293574i
\(561\) 3.59054 0.962083i 0.151593 0.0406192i
\(562\) −14.3237 −0.604210
\(563\) 16.0093 0.674710 0.337355 0.941378i \(-0.390468\pi\)
0.337355 + 0.941378i \(0.390468\pi\)
\(564\) −9.74801 + 2.61197i −0.410465 + 0.109984i
\(565\) 2.57444 + 9.60796i 0.108308 + 0.404210i
\(566\) −7.87019 + 29.3719i −0.330809 + 1.23459i
\(567\) 1.23721 2.33866i 0.0519580 0.0982143i
\(568\) 2.02587 + 3.50891i 0.0850037 + 0.147231i
\(569\) 4.60867i 0.193205i 0.995323 + 0.0966027i \(0.0307976\pi\)
−0.995323 + 0.0966027i \(0.969202\pi\)
\(570\) −0.130416 + 0.486718i −0.00546251 + 0.0203864i
\(571\) −22.7993 13.1632i −0.954120 0.550861i −0.0597613 0.998213i \(-0.519034\pi\)
−0.894358 + 0.447352i \(0.852367\pi\)
\(572\) 7.88918 + 1.29941i 0.329863 + 0.0543309i
\(573\) 1.63311i 0.0682242i
\(574\) 13.5642 0.502111i 0.566160 0.0209577i
\(575\) −0.696068 + 1.20563i −0.0290281 + 0.0502781i
\(576\) −0.866025 0.500000i −0.0360844 0.0208333i
\(577\) 10.6250 + 39.6530i 0.442324 + 1.65078i 0.722907 + 0.690946i \(0.242806\pi\)
−0.280582 + 0.959830i \(0.590528\pi\)
\(578\) −10.0339 10.0339i −0.417357 0.417357i
\(579\) 9.13997 2.44905i 0.379844 0.101779i
\(580\) −8.47606 8.47606i −0.351949 0.351949i
\(581\) 41.4336 + 9.47438i 1.71896 + 0.393063i
\(582\) −13.9928 8.07872i −0.580019 0.334874i
\(583\) 5.58516 5.58516i 0.231314 0.231314i
\(584\) −4.43815 + 7.68711i −0.183652 + 0.318095i
\(585\) −7.66018 6.28164i −0.316710 0.259714i
\(586\) −6.31494 + 3.64593i −0.260868 + 0.150612i
\(587\) −6.32248 23.5958i −0.260957 0.973904i −0.964679 0.263429i \(-0.915147\pi\)
0.703722 0.710475i \(-0.251520\pi\)
\(588\) 6.98084 0.517532i 0.287885 0.0213427i
\(589\) 1.24242 0.717309i 0.0511928 0.0295562i
\(590\) 1.05770 3.94737i 0.0435446 0.162511i
\(591\) −8.02977 + 8.02977i −0.330301 + 0.330301i
\(592\) −0.909963 + 0.909963i −0.0373992 + 0.0373992i
\(593\) 9.55230 35.6497i 0.392266 1.46396i −0.434121 0.900855i \(-0.642941\pi\)
0.826387 0.563103i \(-0.190392\pi\)
\(594\) −1.92045 + 1.10877i −0.0787971 + 0.0454935i
\(595\) −3.58704 11.6454i −0.147054 0.477416i
\(596\) 3.72381 + 13.8974i 0.152533 + 0.569261i
\(597\) 15.6791 9.05233i 0.641702 0.370487i
\(598\) 1.52265 + 1.24863i 0.0622657 + 0.0510603i
\(599\) −2.06623 + 3.57882i −0.0844240 + 0.146227i −0.905146 0.425102i \(-0.860238\pi\)
0.820722 + 0.571328i \(0.193572\pi\)
\(600\) 1.80244 1.80244i 0.0735843 0.0735843i
\(601\) −19.4142 11.2088i −0.791923 0.457217i 0.0487163 0.998813i \(-0.484487\pi\)
−0.840639 + 0.541596i \(0.817820\pi\)
\(602\) −2.57896 8.37267i −0.105111 0.341244i
\(603\) 4.98405 + 4.98405i 0.202966 + 0.202966i
\(604\) 2.24796 0.602340i 0.0914683 0.0245089i
\(605\) −11.8171 11.8171i −0.480434 0.480434i
\(606\) 4.10764 + 15.3299i 0.166861 + 0.622735i
\(607\) 15.0088 + 8.66532i 0.609187 + 0.351715i 0.772647 0.634835i \(-0.218932\pi\)
−0.163460 + 0.986550i \(0.552265\pi\)
\(608\) −0.0916976 + 0.158825i −0.00371883 + 0.00644120i
\(609\) 9.77605 6.13725i 0.396146 0.248694i
\(610\) 37.5341i 1.51971i
\(611\) −35.9031 5.91350i −1.45248 0.239234i
\(612\) −1.45169 0.838134i −0.0586811 0.0338796i
\(613\) −9.95649 + 37.1581i −0.402139 + 1.50080i 0.407133 + 0.913369i \(0.366529\pi\)
−0.809272 + 0.587434i \(0.800138\pi\)
\(614\) 1.47260i 0.0594295i
\(615\) 7.04790 + 12.2073i 0.284199 + 0.492246i
\(616\) −5.18608 2.74357i −0.208953 0.110542i
\(617\) 9.83501 36.7048i 0.395943 1.47768i −0.424226 0.905556i \(-0.639454\pi\)
0.820169 0.572121i \(-0.193879\pi\)
\(618\) 2.45017 + 9.14414i 0.0985601 + 0.367831i
\(619\) −22.9453 + 6.14818i −0.922250 + 0.247116i −0.688547 0.725192i \(-0.741751\pi\)
−0.233703 + 0.972308i \(0.575084\pi\)
\(620\) −21.4928 −0.863173
\(621\) −0.546143 −0.0219160
\(622\) −19.9083 + 5.33442i −0.798251 + 0.213891i
\(623\) 9.48870 41.4963i 0.380157 1.66251i
\(624\) −2.10128 2.92996i −0.0841183 0.117292i
\(625\) −15.6238 27.0612i −0.624952 1.08245i
\(626\) −9.88803 2.64949i −0.395205 0.105895i
\(627\) 0.203344 + 0.352202i 0.00812077 + 0.0140656i
\(628\) −2.66874 + 4.62239i −0.106494 + 0.184453i
\(629\) −1.52534 + 1.52534i −0.0608193 + 0.0608193i
\(630\) 3.86506 + 6.15667i 0.153988 + 0.245287i
\(631\) −38.9228 10.4293i −1.54949 0.415185i −0.620173 0.784465i \(-0.712937\pi\)
−0.929318 + 0.369280i \(0.879604\pi\)
\(632\) −8.54147 2.28868i −0.339762 0.0910388i
\(633\) 0.0181383i 0.000720934i
\(634\) 0.322577 0.186240i 0.0128112 0.00739654i
\(635\) 25.9905 + 25.9905i 1.03140 + 1.03140i
\(636\) −3.56187 −0.141237
\(637\) 23.6997 + 8.67901i 0.939015 + 0.343875i
\(638\) −9.67467 −0.383024
\(639\) −2.86502 2.86502i −0.113338 0.113338i
\(640\) 2.37945 1.37378i 0.0940560 0.0543032i
\(641\) 43.9676i 1.73661i 0.496026 + 0.868307i \(0.334792\pi\)
−0.496026 + 0.868307i \(0.665208\pi\)
\(642\) −3.09956 0.830525i −0.122330 0.0327782i
\(643\) 25.5889 + 6.85652i 1.00913 + 0.270395i 0.725265 0.688470i \(-0.241717\pi\)
0.283863 + 0.958865i \(0.408384\pi\)
\(644\) −0.768275 1.22379i −0.0302743 0.0482240i
\(645\) 6.43322 6.43322i 0.253308 0.253308i
\(646\) −0.153710 + 0.266233i −0.00604763 + 0.0104748i
\(647\) −15.8044 27.3741i −0.621337 1.07619i −0.989237 0.146321i \(-0.953257\pi\)
0.367900 0.929865i \(-0.380077\pi\)
\(648\) 0.965926 + 0.258819i 0.0379452 + 0.0101674i
\(649\) −1.64915 2.85642i −0.0647350 0.112124i
\(650\) 8.60037 3.24071i 0.337334 0.127111i
\(651\) 4.61347 20.1758i 0.180816 0.790750i
\(652\) −5.40806 + 1.44909i −0.211796 + 0.0567506i
\(653\) −0.955783 −0.0374027 −0.0187013 0.999825i \(-0.505953\pi\)
−0.0187013 + 0.999825i \(0.505953\pi\)
\(654\) −9.41117 −0.368006
\(655\) 51.4602 13.7887i 2.01071 0.538769i
\(656\) 1.32782 + 4.95550i 0.0518428 + 0.193480i
\(657\) 2.29736 8.57385i 0.0896284 0.334498i
\(658\) 23.6014 + 12.4858i 0.920080 + 0.486747i
\(659\) −12.1342 21.0171i −0.472681 0.818708i 0.526830 0.849971i \(-0.323381\pi\)
−0.999511 + 0.0312626i \(0.990047\pi\)
\(660\) 6.09282i 0.237163i
\(661\) 5.48656 20.4761i 0.213403 0.796429i −0.773320 0.634016i \(-0.781406\pi\)
0.986723 0.162413i \(-0.0519278\pi\)
\(662\) 11.5345 + 6.65946i 0.448302 + 0.258827i
\(663\) −3.52230 4.91139i −0.136795 0.190743i
\(664\) 16.0646i 0.623429i
\(665\) 1.12910 0.708834i 0.0437848 0.0274874i
\(666\) 0.643441 1.11447i 0.0249328 0.0431849i
\(667\) −2.06348 1.19135i −0.0798983 0.0461293i
\(668\) −1.84436 6.88324i −0.0713604 0.266321i
\(669\) −10.1640 10.1640i −0.392962 0.392962i
\(670\) −18.7062 + 5.01232i −0.722685 + 0.193643i
\(671\) −21.4209 21.4209i −0.826945 0.826945i
\(672\) 0.778839 + 2.52852i 0.0300444 + 0.0975398i
\(673\) 35.5408 + 20.5195i 1.37000 + 0.790969i 0.990927 0.134399i \(-0.0429105\pi\)
0.379070 + 0.925368i \(0.376244\pi\)
\(674\) −16.1468 + 16.1468i −0.621950 + 0.621950i
\(675\) −1.27452 + 2.20753i −0.0490562 + 0.0849678i
\(676\) −2.54594 12.7483i −0.0979207 0.490318i
\(677\) −3.46230 + 1.99896i −0.133067 + 0.0768264i −0.565056 0.825053i \(-0.691145\pi\)
0.431989 + 0.901879i \(0.357812\pi\)
\(678\) −0.936996 3.49692i −0.0359851 0.134298i
\(679\) 12.5840 + 40.8544i 0.482931 + 1.56785i
\(680\) 3.98859 2.30282i 0.152956 0.0883090i
\(681\) 1.07187 4.00027i 0.0410741 0.153291i
\(682\) −12.2661 + 12.2661i −0.469692 + 0.469692i
\(683\) −8.30922 + 8.30922i −0.317944 + 0.317944i −0.847977 0.530033i \(-0.822179\pi\)
0.530033 + 0.847977i \(0.322179\pi\)
\(684\) 0.0474662 0.177146i 0.00181492 0.00677336i
\(685\) −33.0028 + 19.0542i −1.26097 + 0.728022i
\(686\) −14.4659 11.5645i −0.552309 0.441536i
\(687\) −2.25923 8.43158i −0.0861952 0.321685i
\(688\) 2.86766 1.65565i 0.109329 0.0631209i
\(689\) −11.6998 5.29571i −0.445727 0.201750i
\(690\) 0.750277 1.29952i 0.0285626 0.0494718i
\(691\) 20.4063 20.4063i 0.776292 0.776292i −0.202906 0.979198i \(-0.565039\pi\)
0.979198 + 0.202906i \(0.0650385\pi\)
\(692\) 2.46170 + 1.42127i 0.0935799 + 0.0540284i
\(693\) 5.71946 + 1.30783i 0.217264 + 0.0496805i
\(694\) 10.5234 + 10.5234i 0.399463 + 0.399463i
\(695\) −42.0088 + 11.2562i −1.59348 + 0.426972i
\(696\) 3.08495 + 3.08495i 0.116935 + 0.116935i
\(697\) 2.22579 + 8.30675i 0.0843077 + 0.314641i
\(698\) −8.61163 4.97193i −0.325955 0.188190i
\(699\) −3.30937 + 5.73199i −0.125172 + 0.216804i
\(700\) −6.73949 + 0.249478i −0.254729 + 0.00942937i
\(701\) 8.49261i 0.320761i 0.987055 + 0.160381i \(0.0512722\pi\)
−0.987055 + 0.160381i \(0.948728\pi\)
\(702\) 2.78800 + 2.28627i 0.105226 + 0.0862897i
\(703\) −0.204389 0.118004i −0.00770867 0.00445060i
\(704\) 0.573943 2.14199i 0.0216313 0.0807291i
\(705\) 27.7280i 1.04430i
\(706\) 10.8476 + 18.7886i 0.408256 + 0.707119i
\(707\) 19.6354 37.1161i 0.738465 1.39589i
\(708\) −0.384959 + 1.43669i −0.0144677 + 0.0539940i
\(709\) 9.84414 + 36.7388i 0.369704 + 1.37976i 0.860930 + 0.508724i \(0.169882\pi\)
−0.491225 + 0.871032i \(0.663451\pi\)
\(710\) 10.7530 2.88127i 0.403555 0.108132i
\(711\) 8.84278 0.331630
\(712\) 16.0889 0.602958
\(713\) −4.12665 + 1.10573i −0.154544 + 0.0414100i
\(714\) 1.30554 + 4.23848i 0.0488587 + 0.158621i
\(715\) 9.05868 20.0133i 0.338775 0.748455i
\(716\) −12.7690 22.1165i −0.477199 0.826534i
\(717\) 5.54060 + 1.48460i 0.206917 + 0.0554434i
\(718\) −13.1466 22.7705i −0.490626 0.849789i
\(719\) −23.9854 + 41.5439i −0.894503 + 1.54932i −0.0600843 + 0.998193i \(0.519137\pi\)
−0.834419 + 0.551131i \(0.814196\pi\)
\(720\) −1.94281 + 1.94281i −0.0724043 + 0.0724043i
\(721\) 11.7123 22.1394i 0.436190 0.824513i
\(722\) 18.3201 + 4.90886i 0.681804 + 0.182689i
\(723\) −8.69348 2.32941i −0.323314 0.0866317i
\(724\) 16.1216i 0.599155i
\(725\) −9.63097 + 5.56044i −0.357685 + 0.206510i
\(726\) 4.30097 + 4.30097i 0.159624 + 0.159624i
\(727\) −29.5720 −1.09677 −0.548383 0.836227i \(-0.684756\pi\)
−0.548383 + 0.836227i \(0.684756\pi\)
\(728\) −1.20107 + 9.46348i −0.0445146 + 0.350740i
\(729\) −1.00000 −0.0370370
\(730\) 17.2450 + 17.2450i 0.638266 + 0.638266i
\(731\) 4.80697 2.77531i 0.177792 0.102648i
\(732\) 13.6609i 0.504922i
\(733\) 32.8929 + 8.81361i 1.21493 + 0.325538i 0.808693 0.588232i \(-0.200176\pi\)
0.406233 + 0.913770i \(0.366842\pi\)
\(734\) −8.69773 2.33055i −0.321039 0.0860221i
\(735\) 3.59071 18.8947i 0.132445 0.696941i
\(736\) 0.386181 0.386181i 0.0142348 0.0142348i
\(737\) −7.81520 + 13.5363i −0.287876 + 0.498617i
\(738\) −2.56516 4.44298i −0.0944247 0.163548i
\(739\) 18.6177 + 4.98861i 0.684865 + 0.183509i 0.584441 0.811436i \(-0.301314\pi\)
0.100423 + 0.994945i \(0.467980\pi\)
\(740\) 1.76789 + 3.06207i 0.0649888 + 0.112564i
\(741\) 0.419291 0.511307i 0.0154030 0.0187833i
\(742\) 6.90558 + 6.41258i 0.253512 + 0.235413i
\(743\) −40.9049 + 10.9604i −1.50065 + 0.402099i −0.913319 0.407245i \(-0.866490\pi\)
−0.587335 + 0.809344i \(0.699823\pi\)
\(744\) 7.82254 0.286788
\(745\) 39.5309 1.44830
\(746\) 25.8205 6.91859i 0.945357 0.253308i
\(747\) −4.15784 15.5173i −0.152127 0.567747i
\(748\) 0.962083 3.59054i 0.0351772 0.131283i
\(749\) 4.51406 + 7.19046i 0.164940 + 0.262734i
\(750\) 3.36708 + 5.83195i 0.122948 + 0.212953i
\(751\) 1.51788i 0.0553884i 0.999616 + 0.0276942i \(0.00881646\pi\)
−0.999616 + 0.0276942i \(0.991184\pi\)
\(752\) −2.61197 + 9.74801i −0.0952488 + 0.355473i
\(753\) 13.4622 + 7.77241i 0.490590 + 0.283242i
\(754\) 5.54661 + 14.7199i 0.201996 + 0.536067i
\(755\) 6.39427i 0.232711i
\(756\) −1.40673 2.24078i −0.0511623 0.0814965i
\(757\) 10.3621 17.9476i 0.376616 0.652318i −0.613951 0.789344i \(-0.710421\pi\)
0.990568 + 0.137026i \(0.0437542\pi\)
\(758\) −9.48961 5.47883i −0.344678 0.199000i
\(759\) −0.313455 1.16983i −0.0113777 0.0424621i
\(760\) 0.356302 + 0.356302i 0.0129244 + 0.0129244i
\(761\) 10.1812 2.72805i 0.369069 0.0988918i −0.0695173 0.997581i \(-0.522146\pi\)
0.438587 + 0.898689i \(0.355479\pi\)
\(762\) −9.45953 9.45953i −0.342683 0.342683i
\(763\) 18.2459 + 16.9433i 0.660547 + 0.613390i
\(764\) −1.41432 0.816556i −0.0511682 0.0295419i
\(765\) −3.25667 + 3.25667i −0.117745 + 0.117745i
\(766\) −11.6674 + 20.2086i −0.421562 + 0.730166i
\(767\) −3.40053 + 4.14679i −0.122786 + 0.149732i
\(768\) −0.866025 + 0.500000i −0.0312500 + 0.0180422i
\(769\) −1.89366 7.06724i −0.0682871 0.254851i 0.923340 0.383983i \(-0.125448\pi\)
−0.991627 + 0.129132i \(0.958781\pi\)
\(770\) −10.9692 + 11.8125i −0.395301 + 0.425692i
\(771\) −6.20992 + 3.58530i −0.223645 + 0.129121i
\(772\) 2.44905 9.13997i 0.0881432 0.328955i
\(773\) −29.0097 + 29.0097i −1.04341 + 1.04341i −0.0443932 + 0.999014i \(0.514135\pi\)
−0.999014 + 0.0443932i \(0.985865\pi\)
\(774\) −2.34144 + 2.34144i