Properties

Label 804.2.bd.a.23.1
Level 804
Weight 2
Character 804.23
Analytic conductor 6.420
Analytic rank 0
Dimension 2640
CM no
Inner twists 8

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Newspace parameters

Level: \( N \) = \( 804 = 2^{2} \cdot 3 \cdot 67 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 804.bd (of order \(66\), degree \(20\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(6.41997232251\)
Analytic rank: \(0\)
Dimension: \(2640\)
Relative dimension: \(132\) over \(\Q(\zeta_{66})\)
Coefficient ring index: multiple of None
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{66}]$

Embedding invariants

Embedding label 23.1
Character \(\chi\) = 804.23
Dual form 804.2.bd.a.35.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.41230 + 0.0734794i) q^{2} +(-0.651270 - 1.60494i) q^{3} +(1.98920 - 0.207550i) q^{4} +(1.42405 - 0.650344i) q^{5} +(1.03772 + 2.21881i) q^{6} +(-2.49089 - 2.61237i) q^{7} +(-2.79411 + 0.439290i) q^{8} +(-2.15170 + 2.09050i) q^{9} +O(q^{10})\) \(q+(-1.41230 + 0.0734794i) q^{2} +(-0.651270 - 1.60494i) q^{3} +(1.98920 - 0.207550i) q^{4} +(1.42405 - 0.650344i) q^{5} +(1.03772 + 2.21881i) q^{6} +(-2.49089 - 2.61237i) q^{7} +(-2.79411 + 0.439290i) q^{8} +(-2.15170 + 2.09050i) q^{9} +(-1.96341 + 1.02312i) q^{10} +(3.33341 + 0.318302i) q^{11} +(-1.62861 - 3.05739i) q^{12} +(-5.81919 - 1.12156i) q^{13} +(3.70985 + 3.50643i) q^{14} +(-1.97121 - 1.86198i) q^{15} +(3.91385 - 0.825720i) q^{16} +(-3.01536 + 5.84899i) q^{17} +(2.88524 - 3.11053i) q^{18} +(-2.35023 + 2.46485i) q^{19} +(2.69775 - 1.58923i) q^{20} +(-2.57047 + 5.69910i) q^{21} +(-4.73118 - 0.204602i) q^{22} +(0.843917 - 0.337853i) q^{23} +(2.52475 + 4.19829i) q^{24} +(-1.66932 + 1.92650i) q^{25} +(8.30087 + 1.15639i) q^{26} +(4.75648 + 2.09187i) q^{27} +(-5.49708 - 4.67955i) q^{28} +(-3.86686 - 2.23253i) q^{29} +(2.92076 + 2.48484i) q^{30} +(-1.50080 - 7.78687i) q^{31} +(-5.46686 + 1.45375i) q^{32} +(-1.66009 - 5.55724i) q^{33} +(3.82883 - 8.48211i) q^{34} +(-5.24610 - 2.10022i) q^{35} +(-3.84627 + 4.60502i) q^{36} +(3.98212 + 6.89723i) q^{37} +(3.13812 - 3.65381i) q^{38} +(1.98983 + 10.0699i) q^{39} +(-3.69327 + 2.44270i) q^{40} +(11.3009 - 0.538328i) q^{41} +(3.21152 - 8.23774i) q^{42} +(-1.72186 - 2.67927i) q^{43} +(6.69689 - 0.0586840i) q^{44} +(-1.70458 + 4.37633i) q^{45} +(-1.16704 + 0.539162i) q^{46} +(-4.66470 - 3.66836i) q^{47} +(-3.87420 - 5.74374i) q^{48} +(-0.286872 + 6.02219i) q^{49} +(2.21603 - 2.84346i) q^{50} +(11.3511 + 1.03022i) q^{51} +(-11.8083 - 1.02323i) q^{52} +(-0.847806 + 1.31921i) q^{53} +(-6.87130 - 2.60485i) q^{54} +(4.95397 - 1.71458i) q^{55} +(8.10740 + 6.20502i) q^{56} +(5.48658 + 2.16671i) q^{57} +(5.62523 + 2.86888i) q^{58} +(6.99305 + 8.07041i) q^{59} +(-4.30759 - 3.29473i) q^{60} +(-5.18258 + 0.494876i) q^{61} +(2.69175 + 10.8871i) q^{62} +(10.8208 + 0.413808i) q^{63} +(7.61405 - 2.45484i) q^{64} +(-9.01623 + 2.18731i) q^{65} +(2.75290 + 7.72653i) q^{66} +(-8.14552 + 0.806540i) q^{67} +(-4.78420 + 12.2607i) q^{68} +(-1.09185 - 1.13441i) q^{69} +(7.56341 + 2.58067i) q^{70} +(-11.2948 + 5.82286i) q^{71} +(5.09373 - 6.78631i) q^{72} +(-5.34884 + 0.510753i) q^{73} +(-6.13076 - 9.44838i) q^{74} +(4.17910 + 1.42450i) q^{75} +(-4.16350 + 5.39087i) q^{76} +(-7.47164 - 9.50097i) q^{77} +(-3.55017 - 14.0756i) q^{78} +(-3.47616 + 1.20311i) q^{79} +(5.03653 - 3.72121i) q^{80} +(0.259583 - 8.99626i) q^{81} +(-15.9207 + 1.59066i) q^{82} +(-5.27433 + 7.40676i) q^{83} +(-3.93033 + 11.8702i) q^{84} +(-0.490187 + 10.2903i) q^{85} +(2.62867 + 3.65742i) q^{86} +(-1.06472 + 7.66008i) q^{87} +(-9.45373 + 0.574963i) q^{88} +(8.17520 - 1.17542i) q^{89} +(2.08582 - 6.30596i) q^{90} +(11.5650 + 17.9955i) q^{91} +(1.60860 - 0.847213i) q^{92} +(-11.5201 + 7.48005i) q^{93} +(6.85753 + 4.83808i) q^{94} +(-1.74385 + 5.03854i) q^{95} +(5.89360 + 7.82723i) q^{96} +(5.21280 + 9.02883i) q^{97} +(-0.0373564 - 8.52624i) q^{98} +(-7.83790 + 6.28362i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 2640q - 42q^{4} - 19q^{6} - 32q^{9} + O(q^{10}) \) \( 2640q - 42q^{4} - 19q^{6} - 32q^{9} - 46q^{10} - 24q^{12} - 88q^{13} - 26q^{16} - 23q^{18} - 128q^{22} - 22q^{24} + 160q^{25} + 44q^{28} - 18q^{30} - 44q^{33} - 6q^{34} - 35q^{36} - 48q^{37} - 92q^{40} - 10q^{42} + 40q^{45} + 46q^{46} - 11q^{48} - 216q^{49} - 76q^{52} + 129q^{54} - 42q^{57} - 56q^{58} - 90q^{60} - 80q^{61} - 48q^{64} - 74q^{66} - 4q^{69} + 96q^{70} - 20q^{72} - 216q^{73} + 76q^{76} - 66q^{78} - 16q^{81} + 20q^{82} - 55q^{84} - 104q^{85} - 30q^{88} - 64q^{90} - 192q^{93} - 32q^{94} - 205q^{96} - 64q^{97} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/804\mathbb{Z}\right)^\times\).

\(n\) \(269\) \(337\) \(403\)
\(\chi(n)\) \(-1\) \(e\left(\frac{14}{33}\right)\) \(-1\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.41230 + 0.0734794i −0.998649 + 0.0519578i
\(3\) −0.651270 1.60494i −0.376011 0.926615i
\(4\) 1.98920 0.207550i 0.994601 0.103775i
\(5\) 1.42405 0.650344i 0.636856 0.290843i −0.0707020 0.997497i \(-0.522524\pi\)
0.707558 + 0.706655i \(0.249797\pi\)
\(6\) 1.03772 + 2.21881i 0.423648 + 0.905827i
\(7\) −2.49089 2.61237i −0.941468 0.987383i 0.0584723 0.998289i \(-0.481377\pi\)
−0.999941 + 0.0109056i \(0.996529\pi\)
\(8\) −2.79411 + 0.439290i −0.987865 + 0.155312i
\(9\) −2.15170 + 2.09050i −0.717232 + 0.696835i
\(10\) −1.96341 + 1.02312i −0.620885 + 0.323539i
\(11\) 3.33341 + 0.318302i 1.00506 + 0.0959717i 0.584586 0.811332i \(-0.301257\pi\)
0.420476 + 0.907304i \(0.361863\pi\)
\(12\) −1.62861 3.05739i −0.470140 0.882592i
\(13\) −5.81919 1.12156i −1.61395 0.311064i −0.699153 0.714972i \(-0.746439\pi\)
−0.914799 + 0.403909i \(0.867651\pi\)
\(14\) 3.70985 + 3.50643i 0.991499 + 0.937133i
\(15\) −1.97121 1.86198i −0.508964 0.480761i
\(16\) 3.91385 0.825720i 0.978461 0.206430i
\(17\) −3.01536 + 5.84899i −0.731333 + 1.41859i 0.169993 + 0.985445i \(0.445626\pi\)
−0.901326 + 0.433142i \(0.857405\pi\)
\(18\) 2.88524 3.11053i 0.680057 0.733159i
\(19\) −2.35023 + 2.46485i −0.539180 + 0.565475i −0.935811 0.352503i \(-0.885331\pi\)
0.396631 + 0.917978i \(0.370179\pi\)
\(20\) 2.69775 1.58923i 0.603236 0.355362i
\(21\) −2.57047 + 5.69910i −0.560922 + 1.24365i
\(22\) −4.73118 0.204602i −1.00869 0.0436213i
\(23\) 0.843917 0.337853i 0.175969 0.0704473i −0.282005 0.959413i \(-0.591000\pi\)
0.457974 + 0.888966i \(0.348575\pi\)
\(24\) 2.52475 + 4.19829i 0.515363 + 0.856972i
\(25\) −1.66932 + 1.92650i −0.333864 + 0.385300i
\(26\) 8.30087 + 1.15639i 1.62793 + 0.226786i
\(27\) 4.75648 + 2.09187i 0.915385 + 0.402580i
\(28\) −5.49708 4.67955i −1.03885 0.884351i
\(29\) −3.86686 2.23253i −0.718058 0.414571i 0.0959793 0.995383i \(-0.469402\pi\)
−0.814038 + 0.580812i \(0.802735\pi\)
\(30\) 2.92076 + 2.48484i 0.533256 + 0.453667i
\(31\) −1.50080 7.78687i −0.269551 1.39856i −0.824115 0.566422i \(-0.808327\pi\)
0.554564 0.832141i \(1.68712\pi\)
\(32\) −5.46686 + 1.45375i −0.966414 + 0.256990i
\(33\) −1.66009 5.55724i −0.288985 0.967392i
\(34\) 3.82883 8.48211i 0.656638 1.45467i
\(35\) −5.24610 2.10022i −0.886753 0.355002i
\(36\) −3.84627 + 4.60502i −0.641045 + 0.767503i
\(37\) 3.98212 + 6.89723i 0.654656 + 1.13390i 0.981980 + 0.188985i \(0.0605198\pi\)
−0.327324 + 0.944912i \(0.606147\pi\)
\(38\) 3.13812 3.65381i 0.509070 0.592726i
\(39\) 1.98983 + 10.0699i 0.318627 + 1.61248i
\(40\) −3.69327 + 2.44270i −0.583957 + 0.386225i
\(41\) 11.3009 0.538328i 1.76490 0.0840727i 0.860158 0.510028i \(-0.170365\pi\)
0.904744 + 0.425955i \(0.140062\pi\)
\(42\) 3.21152 8.23774i 0.495548 1.27111i
\(43\) −1.72186 2.67927i −0.262582 0.408585i 0.684780 0.728750i \(-0.259898\pi\)
−0.947362 + 0.320164i \(0.896262\pi\)
\(44\) 6.69689 0.0586840i 1.00959 0.00884694i
\(45\) −1.70458 + 4.37633i −0.254104 + 0.652385i
\(46\) −1.16704 + 0.539162i −0.172071 + 0.0794951i
\(47\) −4.66470 3.66836i −0.680417 0.535086i 0.217054 0.976160i \(-0.430355\pi\)
−0.897471 + 0.441074i \(0.854598\pi\)
\(48\) −3.87420 5.74374i −0.559193 0.829037i
\(49\) −0.286872 + 6.02219i −0.0409818 + 0.860313i
\(50\) 2.21603 2.84346i 0.313394 0.402126i
\(51\) 11.3511 + 1.03022i 1.58947 + 0.144260i
\(52\) −11.8083 1.02323i −1.63752 0.141896i
\(53\) −0.847806 + 1.31921i −0.116455 + 0.181208i −0.894588 0.446892i \(-0.852531\pi\)
0.778133 + 0.628100i \(0.216167\pi\)
\(54\) −6.87130 2.60485i −0.935065 0.354475i
\(55\) 4.95397 1.71458i 0.667993 0.231194i
\(56\) 8.10740 + 6.20502i 1.08340 + 0.829180i
\(57\) 5.48658 + 2.16671i 0.726715 + 0.286987i
\(58\) 5.62523 + 2.86888i 0.738629 + 0.376702i
\(59\) 6.99305 + 8.07041i 0.910418 + 1.05068i 0.998510 + 0.0545660i \(0.0173775\pi\)
−0.0880922 + 0.996112i \(0.528077\pi\)
\(60\) −4.30759 3.29473i −0.556107 0.425347i
\(61\) −5.18258 + 0.494876i −0.663561 + 0.0633624i −0.421402 0.906874i \(-0.638462\pi\)
−0.242159 + 0.970236i \(0.577856\pi\)
\(62\) 2.69175 + 10.8871i 0.341853 + 1.38267i
\(63\) 10.8208 + 0.413808i 1.36329 + 0.0521349i
\(64\) 7.61405 2.45484i 0.951756 0.306855i
\(65\) −9.01623 + 2.18731i −1.11833 + 0.271303i
\(66\) 2.75290 + 7.72653i 0.338858 + 0.951070i
\(67\) −8.14552 + 0.806540i −0.995134 + 0.0985346i
\(68\) −4.78420 + 12.2607i −0.580170 + 1.48682i
\(69\) −1.09185 1.13441i −0.131444 0.136566i
\(70\) 7.56341 + 2.58067i 0.904001 + 0.308449i
\(71\) −11.2948 + 5.82286i −1.34044 + 0.691047i −0.971196 0.238284i \(-0.923415\pi\)
−0.369248 + 0.929331i \(0.620385\pi\)
\(72\) 5.09373 6.78631i 0.600301 0.799774i
\(73\) −5.34884 + 0.510753i −0.626035 + 0.0597791i −0.403252 0.915089i \(-0.632120\pi\)
−0.222783 + 0.974868i \(0.571514\pi\)
\(74\) −6.13076 9.44838i −0.712687 1.09835i
\(75\) 4.17910 + 1.42450i 0.482561 + 0.164487i
\(76\) −4.16350 + 5.39087i −0.477586 + 0.618376i
\(77\) −7.47164 9.50097i −0.851473 1.08274i
\(78\) −3.55017 14.0756i −0.401977 1.59374i
\(79\) −3.47616 + 1.20311i −0.391099 + 0.135361i −0.515538 0.856867i \(-0.672408\pi\)
0.124439 + 0.992227i \(0.460287\pi\)
\(80\) 5.03653 3.72121i 0.563101 0.416044i
\(81\) 0.259583 8.99626i 0.0288426 0.999584i
\(82\) −15.9207 + 1.59066i −1.75815 + 0.175660i
\(83\) −5.27433 + 7.40676i −0.578933 + 0.812997i −0.995365 0.0961693i \(-0.969341\pi\)
0.416432 + 0.909167i \(0.363280\pi\)
\(84\) −3.93033 + 11.8702i −0.428834 + 1.29514i
\(85\) −0.490187 + 10.2903i −0.0531683 + 1.11614i
\(86\) 2.62867 + 3.65742i 0.283456 + 0.394390i
\(87\) −1.06472 + 7.66008i −0.114150 + 0.821247i
\(88\) −9.45373 + 0.574963i −1.00777 + 0.0612913i
\(89\) 8.17520 1.17542i 0.866570 0.124594i 0.305329 0.952247i \(-0.401233\pi\)
0.561240 + 0.827653i \(0.310324\pi\)
\(90\) 2.08582 6.30596i 0.219865 0.664707i
\(91\) 11.5650 + 17.9955i 1.21235 + 1.88645i
\(92\) 1.60860 0.847213i 0.167708 0.0883281i
\(93\) −11.5201 + 7.48005i −1.19458 + 0.775645i
\(94\) 6.85753 + 4.83808i 0.707300 + 0.499010i
\(95\) −1.74385 + 5.03854i −0.178916 + 0.516943i
\(96\) 5.89360 + 7.82723i 0.601513 + 0.798863i
\(97\) 5.21280 + 9.02883i 0.529279 + 0.916739i 0.999417 + 0.0341456i \(0.0108710\pi\)
−0.470137 + 0.882593i \(0.655796\pi\)
\(98\) −0.0373564 8.52624i −0.00377357 0.861280i
\(99\) −7.83790 + 6.28362i −0.787738 + 0.631528i
\(100\) −2.92077 + 4.17866i −0.292077 + 0.417866i
\(101\) −9.19672 2.23110i −0.915108 0.222003i −0.249561 0.968359i \(-0.580286\pi\)
−0.665547 + 0.746356i \(0.731802\pi\)
\(102\) −16.1069 0.620911i −1.59482 0.0614793i
\(103\) −1.44351 7.48964i −0.142233 0.737976i −0.981079 0.193607i \(-0.937981\pi\)
0.838846 0.544369i \(1.81677\pi\)
\(104\) 16.7521 + 0.577438i 1.64268 + 0.0566224i
\(105\) 0.0458874 + 9.78752i 0.00447815 + 0.955164i
\(106\) 1.10042 1.92542i 0.106883 0.187014i
\(107\) 1.85831 4.06913i 0.179650 0.393378i −0.798288 0.602276i \(-0.794261\pi\)
0.977937 + 0.208899i \(0.0669878\pi\)
\(108\) 9.89576 + 3.17394i 0.952220 + 0.305413i
\(109\) −2.31251 + 2.66878i −0.221498 + 0.255623i −0.855613 0.517617i \(-0.826819\pi\)
0.634114 + 0.773239i \(0.281365\pi\)
\(110\) −6.87052 + 2.78553i −0.655078 + 0.265590i
\(111\) 8.47624 10.8830i 0.804529 1.03297i
\(112\) −11.9060 8.16764i −1.12502 0.771769i
\(113\) −0.0242593 + 0.0172750i −0.00228213 + 0.00162510i −0.581197 0.813763i \(-0.697416\pi\)
0.578915 + 0.815388i \(0.303476\pi\)
\(114\) −7.90792 2.65689i −0.740645 0.248841i
\(115\) 0.982062 1.02996i 0.0915778 0.0960440i
\(116\) −8.15533 3.63839i −0.757204 0.337816i
\(117\) 14.8657 9.75179i 1.37434 0.901553i
\(118\) −10.4693 10.8840i −0.963779 1.00196i
\(119\) 22.7907 6.69194i 2.08922 0.613449i
\(120\) 6.32571 + 4.33663i 0.577456 + 0.395879i
\(121\) 0.209105 + 0.0403017i 0.0190095 + 0.00366379i
\(122\) 7.28301 1.07973i 0.659373 0.0977540i
\(123\) −8.22392 17.7867i −0.741525 1.60377i
\(124\) −4.60155 15.1782i −0.413232 1.36304i
\(125\) −3.32962 + 11.3396i −0.297810 + 1.01425i
\(126\) −15.3127 + 0.210685i −1.36416 + 0.0187693i
\(127\) 5.28396 + 5.54166i 0.468876 + 0.491743i 0.915127 0.403165i \(-0.132090\pi\)
−0.446252 + 0.894907i \(0.647241\pi\)
\(128\) −10.5730 + 4.02646i −0.934527 + 0.355892i
\(129\) −3.17869 + 4.50843i −0.279868 + 0.396945i
\(130\) 12.5729 3.75166i 1.10272 0.329042i
\(131\) 0.701277 4.87749i 0.0612708 0.426148i −0.935980 0.352052i \(-0.885484\pi\)
0.997251 0.0740957i \(-0.0236070\pi\)
\(132\) −4.45567 10.7099i −0.387816 0.932179i
\(133\) 12.2933 1.06596
\(134\) 11.4447 1.73761i 0.988670 0.150106i
\(135\) 8.13392 0.114411i 0.700056 0.00984692i
\(136\) 5.85584 17.6673i 0.502134 1.51496i
\(137\) −10.6673 1.53372i −0.911367 0.131035i −0.329347 0.944209i \(-0.606828\pi\)
−0.582020 + 0.813174i \(0.697738\pi\)
\(138\) 1.62538 + 1.52190i 0.138362 + 0.129552i
\(139\) −10.1388 + 4.63021i −0.859958 + 0.392729i −0.796053 0.605227i \(-0.793083\pi\)
−0.0639043 + 0.997956i \(0.520355\pi\)
\(140\) −10.8715 3.08894i −0.918806 0.261063i
\(141\) −2.84954 + 9.87569i −0.239975 + 0.831683i
\(142\) 15.5238 9.05358i 1.30273 0.759760i
\(143\) −19.0408 5.59087i −1.59227 0.467532i
\(144\) −6.69523 + 9.95861i −0.557936 + 0.829884i
\(145\) −6.95854 0.664460i −0.577875 0.0551804i
\(146\) 7.51666 1.11437i 0.622083 0.0922257i
\(147\) 9.85211 3.46166i 0.812589 0.285513i
\(148\) 9.35276 + 12.8935i 0.768792 + 1.05984i
\(149\) −0.100032 0.340679i −0.00819498 0.0279095i 0.955294 0.295658i \(-0.0955387\pi\)
−0.963489 + 0.267748i \(0.913721\pi\)
\(150\) −6.00683 1.70474i −0.490456 0.139192i
\(151\) 2.36040 4.57854i 0.192087 0.372597i −0.773049 0.634347i \(-0.781269\pi\)
0.965136 + 0.261750i \(0.0842996\pi\)
\(152\) 5.48400 7.91948i 0.444812 0.642355i
\(153\) −5.73919 18.8889i −0.463986 1.52707i
\(154\) 11.2504 + 12.8692i 0.906579 + 1.03703i
\(155\) −7.20136 10.1129i −0.578427 0.812287i
\(156\) 6.04818 + 19.6181i 0.484242 + 1.57070i
\(157\) 22.4597 8.99149i 1.79248 0.717599i 0.799306 0.600924i \(-0.205201\pi\)
0.993170 0.116675i \(-0.0372236\pi\)
\(158\) 4.82099 1.95458i 0.383537 0.155498i
\(159\) 2.66941 + 0.501519i 0.211698 + 0.0397730i
\(160\) −6.83967 + 5.62556i −0.540723 + 0.444740i
\(161\) −2.98470 1.36307i −0.235227 0.107425i
\(162\) 0.294429 + 12.7245i 0.0231326 + 0.999732i
\(163\) −19.1573 11.0605i −1.50052 0.866323i −1.00000 0.000596406i \(-0.999810\pi\)
−0.500516 0.865727i \(1.33314\pi\)
\(164\) 22.3680 3.41635i 1.74665 0.266772i
\(165\) −5.97818 6.83418i −0.465401 0.532040i
\(166\) 6.90471 10.8481i 0.535909 0.841979i
\(167\) 0.833904 3.43740i 0.0645294 0.265994i −0.930403 0.366538i \(-0.880543\pi\)
0.994933 + 0.100544i \(0.0320582\pi\)
\(168\) 4.67861 17.0531i 0.360962 1.31567i
\(169\) 20.5363 + 8.22148i 1.57971 + 0.632421i
\(170\) −0.0638320 14.5690i −0.00489569 1.11739i
\(171\) −0.0958019 10.2168i −0.00732615 0.781296i
\(172\) −3.98122 4.97224i −0.303565 0.379130i
\(173\) 6.87738 + 2.38028i 0.522877 + 0.180970i 0.575741 0.817632i \(-0.304714\pi\)
−0.0528637 + 0.998602i \(0.516835\pi\)
\(174\) 0.940853 10.8966i 0.0713259 0.826069i
\(175\) 9.19082 0.437813i 0.694761 0.0330955i
\(176\) 13.3093 1.50668i 1.00323 0.113570i
\(177\) 8.39820 16.4795i 0.631248 1.23867i
\(178\) −11.4595 + 2.26075i −0.858926 + 0.169451i
\(179\) −2.77945 19.3315i −0.207746 1.44490i −0.780489 0.625169i \(-0.785030\pi\)
0.572744 0.819735i \(1.69412\pi\)
\(180\) −2.48245 + 9.05920i −0.185031 + 0.675233i
\(181\) −19.2456 15.1349i −1.43051 1.12497i −0.971640 0.236463i \(-0.924012\pi\)
−0.458871 0.888503i \(-0.651746\pi\)
\(182\) −17.6556 24.5654i −1.30872 1.82091i
\(183\) 4.16951 + 7.99545i 0.308219 + 0.591041i
\(184\) −2.20958 + 1.31472i −0.162892 + 0.0969225i
\(185\) 10.1563 + 7.23228i 0.746708 + 0.531728i
\(186\) 15.7202 11.4106i 1.15266 0.836665i
\(187\) −11.9132 + 18.5373i −0.871179 + 1.35558i
\(188\) −10.0404 6.32895i −0.732272 0.461586i
\(189\) −6.38313 17.6363i −0.464304 1.28285i
\(190\) 2.09262 7.24408i 0.151815 0.525541i
\(191\) −17.2247 + 13.5456i −1.24633 + 0.980128i −0.246395 + 0.969170i \(0.579246\pi\)
−0.999940 + 0.0109587i \(0.996512\pi\)
\(192\) −8.89869 10.6214i −0.642208 0.766531i
\(193\) −11.2353 12.9663i −0.808736 0.933332i 0.190090 0.981767i \(-0.439122\pi\)
−0.998826 + 0.0484351i \(0.984577\pi\)
\(194\) −8.02548 12.3684i −0.576196 0.888000i
\(195\) 9.38252 + 13.0460i 0.671896 + 0.934245i
\(196\) 0.679262 + 12.0389i 0.0485187 + 0.859921i
\(197\) −0.567037 1.09990i −0.0403997 0.0783646i 0.867772 0.496963i \(-0.165552\pi\)
−0.908171 + 0.418599i \(0.862521\pi\)
\(198\) 10.6078 9.45031i 0.753862 0.671604i
\(199\) 0.313083 0.0759531i 0.0221939 0.00538417i −0.224647 0.974440i \(-0.572123\pi\)
0.246840 + 0.969056i \(0.420608\pi\)
\(200\) 3.81797 6.11615i 0.269971 0.432477i
\(201\) 6.59938 + 12.5478i 0.465485 + 0.885056i
\(202\) 13.1525 + 2.47522i 0.925407 + 0.174156i
\(203\) 3.79972 + 15.6627i 0.266688 + 1.09930i
\(204\) 22.7935 0.306613i 1.59586 0.0214672i
\(205\) 15.7430 8.11607i 1.09954 0.566851i
\(206\) 2.58901 + 10.4716i 0.180385 + 0.729590i
\(207\) −1.10957 + 2.49117i −0.0771203 + 0.173148i
\(208\) −23.7015 + 0.415418i −1.64340 + 0.0288040i
\(209\) −8.61885 + 7.46828i −0.596178 + 0.516591i
\(210\) −0.783988 13.8196i −0.0541003 0.953641i
\(211\) −1.13398 1.44197i −0.0780663 0.0992694i 0.745451 0.666560i \(-0.232234\pi\)
−0.823518 + 0.567291i \(0.807992\pi\)
\(212\) −1.41265 + 2.80014i −0.0970214 + 0.192314i
\(213\) 16.7013 + 14.3352i 1.14436 + 0.982235i
\(214\) −2.32550 + 5.88339i −0.158968 + 0.402181i
\(215\) −4.19448 2.69563i −0.286061 0.183840i
\(216\) −14.2090 3.75543i −0.966803 0.255525i
\(217\) −16.6039 + 23.3169i −1.12714 + 1.58285i
\(218\) 3.06986 3.93905i 0.207917 0.266786i
\(219\) 4.30327 + 8.25196i 0.290788 + 0.557616i
\(220\) 9.49857 4.43885i 0.640394 0.299267i
\(221\) 24.1069 30.6544i 1.62161 2.06204i
\(222\) −11.1713 + 15.9930i −0.749771 + 1.07338i
\(223\) 23.6473 3.39997i 1.58354 0.227679i 0.706365 0.707848i \(-0.250334\pi\)
0.877176 + 0.480169i \(0.159425\pi\)
\(224\) 17.4151 + 10.6603i 1.16360 + 0.712274i
\(225\) −0.435485 7.63496i −0.0290323 0.508997i
\(226\) 0.0329922 0.0261801i 0.00219461 0.00174147i
\(227\) −0.223956 4.70142i −0.0148645 0.312044i −0.994039 0.109024i \(-0.965227\pi\)
0.979175 0.203020i \(1.93492\pi\)
\(228\) 11.3636 + 3.17127i 0.752574 + 0.210023i
\(229\) 4.45433 12.8699i 0.294350 0.850469i −0.696745 0.717318i \(-0.745369\pi\)
0.991096 0.133151i \(-0.0425095\pi\)
\(230\) −1.31129 + 1.52677i −0.0864638 + 0.100672i
\(231\) −10.3825 + 18.1793i −0.683116 + 1.19611i
\(232\) 11.7852 + 4.53926i 0.773733 + 0.298017i
\(233\) 0.892677 2.22980i 0.0584812 0.146079i −0.896250 0.443550i \(-0.853719\pi\)
0.954731 + 0.297471i \(0.0961431\pi\)
\(234\) −20.2784 + 14.8648i −1.32564 + 0.971743i
\(235\) −9.02849 2.19029i −0.588954 0.142879i
\(236\) 15.5856 + 14.6023i 1.01454 + 0.950527i
\(237\) 4.19485 + 4.79550i 0.272484 + 0.311501i
\(238\) −31.6956 + 11.1257i −2.05452 + 0.721172i
\(239\) −11.6430 + 20.1663i −0.753125 + 1.30445i 0.193175 + 0.981164i \(0.438121\pi\)
−0.946301 + 0.323287i \(0.895212\pi\)
\(240\) −9.25248 5.65983i −0.597245 0.365341i
\(241\) 0.899815 1.97032i 0.0579622 0.126919i −0.878435 0.477863i \(-0.841412\pi\)
0.936397 + 0.350943i \(0.114139\pi\)
\(242\) −0.298281 0.0415533i −0.0191742 0.00267115i
\(243\) −14.6076 + 5.44237i −0.937075 + 0.349128i
\(244\) −10.2065 + 2.06006i −0.653403 + 0.131882i
\(245\) 3.50797 + 8.76249i 0.224116 + 0.559815i
\(246\) 12.9216 + 24.5159i 0.823852 + 1.56308i
\(247\) 16.4409 11.7075i 1.04611 0.744931i
\(248\) 7.61407 + 21.0981i 0.483494 + 1.33973i
\(249\) 15.3225 + 3.64121i 0.971021 + 0.230752i
\(250\) 3.86920 16.2597i 0.244710 1.02835i
\(251\) −13.6947 7.06010i −0.864401 0.445630i −0.0317943 0.999494i \(-0.510122\pi\)
−0.832607 + 0.553865i \(0.813152\pi\)
\(252\) 21.6107 1.42272i 1.36134 0.0896228i
\(253\) 2.92066 0.857584i 0.183620 0.0539158i
\(254\) −7.86975 7.43824i −0.493792 0.466717i
\(255\) 16.8346 5.91504i 1.05422 0.370414i
\(256\) 14.6364 6.46348i 0.914773 0.403967i
\(257\) 0.371293 3.88836i 0.0231606 0.242549i −0.976477 0.215623i \(-0.930822\pi\)
0.999637 0.0269266i \(-0.00857203\pi\)
\(258\) 4.15799 6.60083i 0.258865 0.410950i
\(259\) 8.09910 27.5830i 0.503254 1.71392i
\(260\) −17.4811 + 6.22233i −1.08413 + 0.385893i
\(261\) 12.9874 3.27996i 0.803902 0.203024i
\(262\) −0.632021 + 6.94002i −0.0390464 + 0.428756i
\(263\) 2.58546 + 5.66137i 0.159426 + 0.349095i 0.972441 0.233148i \(-0.0749026\pi\)
−0.813015 + 0.582243i \(0.802175\pi\)
\(264\) 7.07972 + 14.7983i 0.435726 + 0.910770i
\(265\) −0.349380 + 2.42999i −0.0214623 + 0.149273i
\(266\) −17.3618 + 0.903302i −1.06452 + 0.0553850i
\(267\) −7.21074 12.3552i −0.441290 0.756128i
\(268\) −16.0357 + 3.29498i −0.979535 + 0.201273i
\(269\) 13.5309i 0.824992i 0.910959 + 0.412496i \(0.135343\pi\)
−0.910959 + 0.412496i \(0.864657\pi\)
\(270\) −11.4792 + 0.759258i −0.698599 + 0.0462070i
\(271\) −25.7749 3.70588i −1.56572 0.225116i −0.695771 0.718264i \(-0.744937\pi\)
−0.869945 + 0.493148i \(0.835846\pi\)
\(272\) −6.97204 + 25.3819i −0.422742 + 1.53900i
\(273\) 21.3499 30.2812i 1.29215 1.83270i
\(274\) 15.1781 + 1.38226i 0.916944 + 0.0835051i
\(275\) −6.17774 + 5.89046i −0.372532 + 0.355208i
\(276\) −2.40736 2.02995i −0.144906 0.122188i
\(277\) −12.8252 3.76581i −0.770590 0.226266i −0.127275 0.991867i \(-0.540623\pi\)
−0.643315 + 0.765602i \(0.722441\pi\)
\(278\) 13.9788 7.28425i 0.838391 0.436881i
\(279\) 19.5077 + 13.6175i 1.16790 + 0.815261i
\(280\) 15.5808 + 3.56368i 0.931129 + 0.212971i
\(281\) −0.720902 + 3.74039i −0.0430054 + 0.223133i −0.997073 0.0764591i \(-0.975639\pi\)
0.954067 + 0.299592i \(0.0968506\pi\)
\(282\) 3.29876 14.1569i 0.196438 0.843028i
\(283\) 2.83989 + 9.67178i 0.168814 + 0.574927i 0.999826 + 0.0186726i \(0.00594401\pi\)
−0.831012 + 0.556255i \(0.812238\pi\)
\(284\) −21.2591 + 13.9271i −1.26149 + 0.826421i
\(285\) 9.22229 0.482657i 0.546281 0.0285901i
\(286\) 27.3021 + 6.49690i 1.61441 + 0.384170i
\(287\) −29.5556 28.1812i −1.74461 1.66348i
\(288\) 8.72395 14.5565i 0.514063 0.857752i
\(289\) −15.2573 21.4258i −0.897486 1.26034i
\(290\) 9.87639 + 0.427109i 0.579962 + 0.0250807i
\(291\) 11.0958 14.2465i 0.650449 0.835142i
\(292\) −10.5339 + 2.12615i −0.616451 + 0.124423i
\(293\) 0.366606 + 0.317666i 0.0214174 + 0.0185583i 0.665504 0.746395i \(-0.268217\pi\)
−0.644086 + 0.764953i \(0.722762\pi\)
\(294\) −13.6598 + 5.61284i −0.796656 + 0.327347i
\(295\) 15.2070 + 6.94482i 0.885387 + 0.404343i
\(296\) −14.1563 17.5223i −0.822820 1.01846i
\(297\) 15.1895 + 8.48706i 0.881382 + 0.492469i
\(298\) 0.166309 + 0.473792i 0.00963402 + 0.0274460i
\(299\) −5.28983 + 1.01953i −0.305919 + 0.0589610i
\(300\) 8.60873 + 1.96624i 0.497025 + 0.113521i
\(301\) −2.71028 + 11.1719i −0.156218 + 0.643939i
\(302\) −2.99718 + 6.63973i −0.172468 + 0.382074i
\(303\) 2.40875 + 16.2133i 0.138379 + 0.931429i
\(304\) −7.16316 + 11.5877i −0.410835 + 0.664598i
\(305\) −7.05843 + 4.07519i −0.404165 + 0.233345i
\(306\) 9.49342 + 26.2551i 0.542703 + 1.50090i
\(307\) 10.7449 + 3.71884i 0.613243 + 0.212246i 0.615994 0.787751i \(-0.288754\pi\)
−0.00275099 + 0.999996i \(0.500876\pi\)
\(308\) −16.8345 17.3486i −0.959236 0.988528i
\(309\) −11.0803 + 7.19453i −0.630339 + 0.409283i
\(310\) 10.9136 + 13.7533i 0.619850 + 0.781136i
\(311\) 17.2343 11.0758i 0.977269 0.628053i 0.0485440 0.998821i \(-0.484542\pi\)
0.928725 + 0.370768i \(0.120906\pi\)
\(312\) −9.98339 27.2623i −0.565198 1.54342i
\(313\) −1.66760 11.5984i −0.0942582 0.655580i −0.981099 0.193505i \(-0.938014\pi\)
0.886841 0.462075i \(-0.152895\pi\)
\(314\) −31.0592 + 14.3490i −1.75277 + 0.809763i
\(315\) 15.6785 6.44796i 0.883386 0.363301i
\(316\) −6.66508 + 3.11471i −0.374940 + 0.175216i
\(317\) −10.4057 0.495686i −0.584444 0.0278405i −0.246722 0.969086i \(-0.579353\pi\)
−0.337722 + 0.941246i \(0.609656\pi\)
\(318\) −3.80687 0.512150i −0.213479 0.0287199i
\(319\) −12.1792 8.67279i −0.681906 0.485583i
\(320\) 9.24633 8.44758i 0.516885 0.472234i
\(321\) −7.74099 0.332382i −0.432060 0.0185518i
\(322\) 4.31546 + 1.70575i 0.240491 + 0.0950578i
\(323\) −7.33008 21.1789i −0.407856 1.17842i
\(324\) −1.35081 17.9492i −0.0750452 0.997180i
\(325\) 11.8748 9.33842i 0.658693 0.518002i
\(326\) 27.8686 + 14.2131i 1.54350 + 0.787190i
\(327\) 5.78931 + 1.97335i 0.320150 + 0.109127i
\(328\) −31.3394 + 6.46851i −1.73043 + 0.357164i
\(329\) 2.03614 + 21.3234i 0.112256 + 1.17560i
\(330\) 8.94518 + 9.21267i 0.492416 + 0.507141i
\(331\) −10.3689 20.1129i −0.569927 1.10551i −0.981019 0.193911i \(-0.937883\pi\)
0.411092 0.911594i \(1.63485\pi\)
\(332\) −8.95443 + 15.8282i −0.491438 + 0.868687i
\(333\) −22.9870 6.51610i −1.25968 0.357080i
\(334\) −0.925147 + 4.91593i −0.0506218 + 0.268987i
\(335\) −11.0751 + 6.44595i −0.605099 + 0.352180i
\(336\) −5.35456 + 24.4279i −0.292115 + 1.33265i
\(337\) 3.01173 + 12.4145i 0.164059 + 0.676261i 0.993120 + 0.117102i \(0.0373606\pi\)
−0.829061 + 0.559159i \(0.811124\pi\)
\(338\) −29.6075 10.1022i −1.61044 0.549489i
\(339\) 0.0435248 + 0.0276842i 0.00236394 + 0.00150360i
\(340\) 1.16067 + 20.5712i 0.0629464 + 1.11563i
\(341\) −2.52419 26.4346i −0.136693 1.43151i
\(342\) 0.886024 + 14.4221i 0.0479107 + 0.779860i
\(343\) −2.64877 + 2.29517i −0.143020 + 0.123928i
\(344\) 5.98805 + 6.72977i 0.322854 + 0.362845i
\(345\) −2.29261 0.905375i −0.123430 0.0487438i
\(346\) −9.88784 2.85634i −0.531574 0.153558i
\(347\) −8.66391 25.0327i −0.465103 1.34383i −0.897050 0.441929i \(-0.854294\pi\)
0.431947 0.901899i \(1.64217\pi\)
\(348\) −0.528094 + 15.4584i −0.0283088 + 0.828659i
\(349\) −17.7698 11.4200i −0.951197 0.611297i −0.0296486 0.999560i \(-0.509439\pi\)
−0.921549 + 0.388263i \(0.873075\pi\)
\(350\) −12.9481 + 1.29366i −0.692103 + 0.0691491i
\(351\) −25.3327 17.5076i −1.35216 0.934488i
\(352\) −18.6860 + 3.10584i −0.995969 + 0.165542i
\(353\) 26.4759 + 1.26120i 1.40917 + 0.0671269i 0.738311 0.674460i \(-0.235624\pi\)
0.670856 + 0.741587i \(0.265927\pi\)
\(354\) −10.6499 + 23.8911i −0.566036 + 1.26980i
\(355\) −12.2975 + 15.6376i −0.652684 + 0.829956i
\(356\) 16.0182 4.03491i 0.848961 0.213850i
\(357\) −25.5831 32.2195i −1.35400 1.70524i
\(358\) 5.34589 + 27.0977i 0.282539 + 1.43216i
\(359\) 4.19579 2.69647i 0.221445 0.142314i −0.425215 0.905092i \(-0.639802\pi\)
0.646660 + 0.762778i \(0.276165\pi\)
\(360\) 2.84031 12.9767i 0.149697 0.683934i
\(361\) 0.352151 + 7.39256i 0.0185343 + 0.389082i
\(362\) 28.2927 + 19.9609i 1.48703 + 1.04912i
\(363\) −0.0715018 0.361849i −0.00375287 0.0189922i
\(364\) 26.7402 + 33.3964i 1.40157 + 1.75045i
\(365\) −7.28488 + 4.20593i −0.381308 + 0.220148i
\(366\) −6.47611 10.9856i −0.338512 0.574228i
\(367\) −1.46487 + 3.65908i −0.0764658 + 0.191002i −0.961676 0.274190i \(-0.911590\pi\)
0.885210 + 0.465192i \(0.154015\pi\)
\(368\) 3.02399 2.01914i 0.157636 0.105255i
\(369\) −23.1907 + 24.7829i −1.20726 + 1.29014i
\(370\) −14.8752 9.46790i −0.773326 0.492213i
\(371\) 5.55806 1.07123i 0.288560 0.0556154i
\(372\) −21.3633 + 17.2703i −1.10763 + 0.895424i
\(373\) 11.6849 20.2388i 0.605019 1.04792i −0.387029 0.922068i \(-0.626499\pi\)
0.992048 0.125857i \(-0.0401680\pi\)
\(374\) 15.4629 27.0556i 0.799569 1.39901i
\(375\) 20.3680 2.04131i 1.05180 0.105413i
\(376\) 14.6452 + 8.20064i 0.755266 + 0.422916i
\(377\) 19.9981 + 17.3284i 1.02995 + 0.892460i
\(378\) 10.3108 + 24.4388i 0.530331 + 1.25700i
\(379\) −11.6840 29.1853i −0.600169 1.49915i −0.847811 0.530298i \(-0.822080\pi\)
0.247642 0.968852i \(1.57966\pi\)
\(380\) −2.42313 + 10.3846i −0.124304 + 0.532719i
\(381\) 5.45277 12.0896i 0.279354 0.619368i
\(382\) 23.3312 20.3962i 1.19373 1.04356i
\(383\) 11.4822 + 10.9483i 0.586713 + 0.559430i 0.924204 0.381899i \(-0.124730\pi\)
−0.337491 + 0.941329i \(0.609578\pi\)
\(384\) 13.3481 + 14.3467i 0.681167 + 0.732128i
\(385\) −16.8189 8.67075i −0.857171 0.441903i
\(386\) 16.8204 + 17.4867i 0.856138 + 0.890051i
\(387\) 9.30596 + 2.16541i 0.473048 + 0.110074i
\(388\) 12.2432 + 16.8782i 0.621556 + 0.856863i
\(389\) −3.48155 + 18.0640i −0.176522 + 0.915882i 0.780344 + 0.625351i \(0.215044\pi\)
−0.956866 + 0.290531i \(0.906168\pi\)
\(390\) −14.2096 17.7355i −0.719530 0.898073i
\(391\) −0.568615 + 5.95481i −0.0287561 + 0.301148i
\(392\) −1.84393 16.9527i −0.0931328 0.856238i
\(393\) −8.28482 + 2.05105i −0.417914 + 0.103462i
\(394\) 0.881649 + 1.51173i 0.0444168 + 0.0761596i
\(395\) −4.16781 + 3.97399i −0.209705 + 0.199953i
\(396\) −14.2870 + 14.1262i −0.717948 + 0.709866i
\(397\) 0.573614 + 1.25604i 0.0287889 + 0.0630388i 0.923480 0.383646i \(-0.125332\pi\)
−0.894691 + 0.446685i \(0.852604\pi\)
\(398\) −0.436587 + 0.130274i −0.0218841 + 0.00653005i
\(399\) −8.00623 19.7300i −0.400813 0.987736i
\(400\) −4.94271 + 8.91841i −0.247136 + 0.445920i
\(401\) 26.3972i 1.31821i 0.752050 + 0.659106i \(0.229065\pi\)
−0.752050 + 0.659106i \(0.770935\pi\)
\(402\) −10.2423 17.2364i −0.510842 0.859675i
\(403\) 46.9965i 2.34106i
\(404\) −18.7572 2.52932i −0.933206 0.125839i
\(405\) −5.48100 12.9800i −0.272353 0.644980i
\(406\) −6.51725 21.8413i −0.323446 1.08396i
\(407\) 11.0786 + 24.2588i 0.549147 + 1.20247i
\(408\) −32.1688 + 2.10788i −1.59259 + 0.104356i
\(409\) −19.6452 + 18.7316i −0.971391 + 0.926219i −0.997299 0.0734452i \(-0.976601\pi\)
0.0259086 + 0.999664i \(0.491752\pi\)
\(410\) −21.6375 + 12.6191i −1.06860 + 0.623215i
\(411\) 4.48573 + 18.1193i 0.221265 + 0.893757i
\(412\) −4.42591 14.5988i −0.218049 0.719232i
\(413\) 3.66398 38.3710i 0.180293 1.88811i
\(414\) 1.38400 3.59982i 0.0680197 0.176921i
\(415\) −2.69399 + 13.9778i −0.132243 + 0.686141i
\(416\) 33.4432 2.32827i 1.63969 0.114153i
\(417\) 14.0343 + 13.2566i 0.687262 + 0.649179i
\(418\) 11.6237 11.1808i 0.568532 0.546870i
\(419\) −20.6097 10.6250i −1.00685 0.519067i −0.125782 0.992058i \(-0.540144\pi\)
−0.881067 + 0.472991i \(0.843174\pi\)
\(420\) 2.12268 + 19.4598i 0.103576 + 0.949542i
\(421\) −5.85416 5.58193i −0.285314 0.272046i 0.533883 0.845558i \(-0.320732\pi\)
−0.819197 + 0.573512i \(0.805581\pi\)
\(422\) 1.70748 + 1.95318i 0.0831187 + 0.0950792i
\(423\) 17.7058 1.85838i 0.860883 0.0903577i
\(424\) 1.78934 4.05845i 0.0868982 0.197096i
\(425\) −6.23446 15.5729i −0.302416 0.755398i
\(426\) −24.6407 19.0185i −1.19384 0.921450i
\(427\) 14.2020 + 12.3061i 0.687285 + 0.595536i
\(428\) 2.85200 8.48001i 0.137857 0.409897i
\(429\) 3.42763 + 34.2005i 0.165488 + 1.65122i
\(430\) 6.12195 + 3.49883i 0.295226 + 0.168729i
\(431\) −5.43651 + 9.41631i −0.261867 + 0.453568i −0.966738 0.255768i \(-0.917672\pi\)
0.704871 + 0.709336i \(0.251005\pi\)
\(432\) 20.3434 + 4.25974i 0.978773 + 0.204947i
\(433\) 33.0411 6.36815i 1.58785 0.306034i 0.682563 0.730827i \(-0.260865\pi\)
0.905290 + 0.424793i \(0.139653\pi\)
\(434\) 21.7364 34.1506i 1.04338 1.63928i
\(435\) 3.46546 + 11.6008i 0.166156 + 0.556216i
\(436\) −4.04614 + 5.78870i −0.193775 + 0.277228i
\(437\) −1.15064 + 2.87416i −0.0550426 + 0.137490i
\(438\) −6.68387 11.3381i −0.319368 0.541754i
\(439\) 0.643365 0.371447i 0.0307062 0.0177282i −0.484568 0.874753i \(-0.661023\pi\)
0.515274 + 0.857025i \(0.327690\pi\)
\(440\) −13.0887 + 6.96695i −0.623979 + 0.332137i
\(441\) −11.9722 13.5576i −0.570103 0.645601i
\(442\) −31.7938 + 45.0647i −1.51228 + 2.14351i
\(443\) 1.25476 + 26.3407i 0.0596155 + 1.25148i 0.808385 + 0.588654i \(0.200342\pi\)
−0.748770 + 0.662830i \(0.769355\pi\)
\(444\) 14.6022 23.4078i 0.692988 1.11088i
\(445\) 10.8775 6.99055i 0.515643 0.331384i
\(446\) −33.1473 + 6.53938i −1.56957 + 0.309649i
\(447\) −0.481623 + 0.382421i −0.0227800 + 0.0180879i
\(448\) −25.3787 13.7760i −1.19903 0.650854i
\(449\) −4.58218 + 5.82671i −0.216246 + 0.274980i −0.882059 0.471140i \(-0.843843\pi\)
0.665812 + 0.746119i \(0.268085\pi\)
\(450\) 1.17605 + 10.7509i 0.0554395 + 0.506801i
\(451\) 37.8419 + 1.80263i 1.78190 + 0.0848826i
\(452\) −0.0446713 + 0.0393985i −0.00210116 + 0.00185315i
\(453\) −8.88557 0.806449i −0.417481 0.0378903i
\(454\) 0.661752 + 6.62338i 0.0310576 + 0.310850i
\(455\) 28.1725 + 18.1054i 1.32075 + 0.848794i
\(456\) −16.2819 3.64381i −0.762470 0.170637i
\(457\) 9.94629 + 28.7379i 0.465268 + 1.34430i 0.896892 + 0.442250i \(0.145820\pi\)
−0.431624 + 0.902054i \(0.642059\pi\)
\(458\) −5.34519 + 18.5036i −0.249764 + 0.864614i
\(459\) −26.5778 + 21.5128i −1.24055 + 1.00413i
\(460\) 1.73975 2.25262i 0.0811163 0.105029i
\(461\) 15.4789 13.4125i 0.720924 0.624684i −0.215111 0.976590i \(-0.569011\pi\)
0.936036 + 0.351905i \(0.114466\pi\)
\(462\) 13.3274 26.4375i 0.620046 1.22999i
\(463\) 0.890586 + 9.32663i 0.0413890 + 0.433445i 0.992289 + 0.123947i \(0.0395552\pi\)
−0.950900 + 0.309499i \(0.899839\pi\)
\(464\) −16.9778 5.54485i −0.788172 0.257413i
\(465\) −11.5406 + 18.1440i −0.535183 + 0.841408i
\(466\) −1.09689 + 3.21475i −0.0508123 + 0.148920i
\(467\) 0.164814 + 0.679372i 0.00762668 + 0.0314376i 0.975498 0.220009i \(-0.0706088\pi\)
−0.967871 + 0.251447i \(0.919094\pi\)
\(468\) 27.5470 22.4837i 1.27336 1.03931i
\(469\) 22.3966 + 19.2701i 1.03418 + 0.889811i
\(470\) 12.9119 + 2.42994i 0.595582 + 0.112085i
\(471\) −29.0581 30.1906i −1.33893 1.39111i
\(472\) −23.0846 19.4776i −1.06255 0.896530i
\(473\) −4.88686 9.47919i −0.224698 0.435854i
\(474\) −6.27676 6.46446i −0.288301 0.296922i
\(475\) −0.825243 8.64234i −0.0378647 0.396538i
\(476\) 43.9463 18.0418i 2.01428 0.826946i
\(477\) −0.933598 4.61088i −0.0427465 0.211118i
\(478\) 14.9617 29.3365i 0.684332 1.34182i
\(479\) 12.1898 9.58617i 0.556967 0.438003i −0.299581 0.954071i \(-0.596847\pi\)
0.856548 + 0.516067i \(0.172605\pi\)
\(480\) 13.4832 + 7.31353i 0.615421 + 0.333816i
\(481\) −15.4371 44.6024i −0.703869 2.03370i
\(482\) −1.12603 + 2.84881i −0.0512894 + 0.129760i
\(483\) −0.243802 + 5.67801i −0.0110934 + 0.258358i
\(484\) 0.424317 + 0.0367683i 0.0192871 + 0.00167129i
\(485\) 13.2951 + 9.46743i 0.603702 + 0.429894i
\(486\) 20.2304 8.75964i 0.917669 0.397345i
\(487\) 10.7130 + 0.510323i 0.485452 + 0.0231249i 0.288882 0.957365i \(-0.406717\pi\)
0.196570 + 0.980490i \(0.437020\pi\)
\(488\) 14.2633 3.65939i 0.645668 0.165653i
\(489\) −5.27488 + 37.9498i −0.238538 + 1.71615i
\(490\) −5.59818 12.1175i −0.252900 0.547414i
\(491\) −0.0927208 0.644887i −0.00418443 0.0291033i 0.987622 0.156851i \(-0.0501343\pi\)
−0.991807 + 0.127748i \(0.959225\pi\)
\(492\) −20.0507 33.6745i −0.903954 1.51816i
\(493\) 24.7181 15.8853i 1.11325 0.715439i
\(494\) −22.3593 + 17.7426i −1.00599 + 0.798278i
\(495\) −7.07508 + 14.0455i −0.318001 + 0.631300i
\(496\) −12.3037 29.2374i −0.552450 1.31280i
\(497\) 43.3455 + 15.0020i 1.94431 + 0.672933i
\(498\) −21.9075 4.01661i −0.981699 0.179988i
\(499\) −17.0120 + 9.82188i −0.761561 + 0.439688i −0.829856 0.557978i \(-0.811577\pi\)
0.0682948 + 0.997665i \(0.478244\pi\)
\(500\) −4.26973 + 23.2479i −0.190948 + 1.03968i
\(501\) −6.05993 + 0.900305i −0.270738 + 0.0402227i
\(502\) 19.8598 + 8.96473i 0.886387 + 0.400115i
\(503\) 6.70547 27.6403i 0.298982 1.23242i −0.601976 0.798514i \(-0.705620\pi\)
0.900958 0.433907i \(-0.142865\pi\)
\(504\) −30.4163 + 3.59725i −1.35485 + 0.160234i
\(505\) −14.5476 + 2.80382i −0.647360 + 0.124768i
\(506\) −4.06184 + 1.42578i −0.180571 + 0.0633835i
\(507\) −0.179630 38.3140i −0.00797763 1.70158i
\(508\) 11.6610 + 9.92679i 0.517375 + 0.440430i
\(509\) −5.49887 2.51125i −0.243733 0.111309i 0.289803 0.957086i \(-0.406410\pi\)
−0.533537 + 0.845777i \(0.679137\pi\)
\(510\) −23.3409 + 9.59082i −1.03355 + 0.424689i
\(511\) 14.6577 + 12.7009i 0.648417 + 0.561856i
\(512\) −20.1961 + 10.2039i −0.892549 + 0.450951i
\(513\) −16.3350 + 6.80763i −0.721206 + 0.300564i
\(514\) −0.238664 + 5.51882i −0.0105270 + 0.243425i
\(515\) −6.92648 9.72688i −0.305217 0.428618i
\(516\) −5.38732 + 9.62791i −0.237164 + 0.423845i
\(517\) −14.3817 13.7130i −0.632508 0.603095i
\(518\) −9.41161 + 39.5507i −0.413522 + 1.73776i
\(519\) −0.658805 12.5880i −0.0289183 0.552553i
\(520\) 24.2314 10.0723i 1.06262 0.441701i
\(521\) 3.95655 + 13.4748i 0.173339 + 0.590340i 0.999633 + 0.0270999i \(0.00862721\pi\)
−0.826293 + 0.563240i \(0.809555\pi\)
\(522\) −18.1012 + 5.58661i −0.792267 + 0.244519i
\(523\) 5.11229 26.5251i 0.223545 1.15986i −0.680607 0.732649i \(-0.738284\pi\)
0.904152 0.427212i \(-0.140504\pi\)
\(524\) 0.382656 9.84786i 0.0167164 0.430206i
\(525\) −6.68837 14.4656i −0.291904 0.631332i
\(526\) −4.06745 7.80559i −0.177349 0.340340i
\(527\) 50.0707 + 14.7021i 2.18112 + 0.640433i
\(528\) −11.0861 20.3794i −0.482459 0.886900i
\(529\) −16.0478 + 15.3016i −0.697732 + 0.665286i
\(530\) 0.314876 3.45756i 0.0136774 0.150187i
\(531\) −31.9182 2.74606i −1.38513 0.119169i
\(532\) 24.4538 2.55147i 1.06021 0.110620i
\(533\) −66.3657 9.54195i −2.87462 0.413308i
\(534\) 11.0916 + 16.9195i 0.479981 + 0.732178i
\(535\) 7.00320i 0.302775i
\(536\) 22.4051 5.83180i 0.967754 0.251895i
\(537\) −29.2158 + 17.0509i −1.26075 + 0.735800i
\(538\) −0.994241 19.1097i −0.0428648 0.823878i
\(539\) −2.87314 + 19.9831i −0.123755 + 0.860734i
\(540\) 16.1563 1.91578i 0.695254 0.0824422i
\(541\) −14.1509 30.9861i −0.608393 1.33219i −0.923668 0.383194i \(-0.874824\pi\)
0.315275 0.949000i \(-0.397903\pi\)
\(542\) 36.6743 + 3.33989i 1.57530 + 0.143461i
\(543\) −11.7566 + 40.7449i −0.504523 + 1.74853i
\(544\) 7.98159 36.3592i 0.342208 1.55889i
\(545\) −1.55752 + 5.30441i −0.0667166 + 0.227216i
\(546\) −27.9275 + 44.3350i −1.19519 + 1.89736i
\(547\) −2.27326 + 23.8067i −0.0971977 + 1.01790i 0.806932 + 0.590644i \(0.201126\pi\)
−0.904130 + 0.427257i \(0.859480\pi\)
\(548\) −21.5377 0.836885i −0.920044 0.0357500i
\(549\) 10.1168 11.8990i 0.431774 0.507838i
\(550\) 8.29202 8.77306i 0.353573 0.374085i
\(551\) 14.5909 4.28427i 0.621592 0.182516i
\(552\) 3.54909 + 2.69001i 0.151059 + 0.114494i
\(553\) 11.8017 + 6.08420i 0.501860 + 0.258727i
\(554\) 18.3898 + 4.37608i 0.781306 + 0.185922i
\(555\) 4.99291 21.0105i 0.211937 0.891846i
\(556\) −19.2070 + 11.3147i −0.814559 + 0.479851i
\(557\) −24.6429 + 17.5481i −1.04415 + 0.743538i −0.967334 0.253507i \(-0.918416\pi\)
−0.0768198 + 0.997045i \(0.524477\pi\)
\(558\) −28.5515 17.7987i −1.20868 0.753479i
\(559\) 7.01489 + 17.5224i 0.296698 + 0.741117i
\(560\) −22.2666 3.88814i −0.940937 0.164304i
\(561\) 37.5100 + 7.04724i 1.58367 + 0.297535i
\(562\) 0.743290 5.33554i 0.0313538 0.225066i
\(563\) 9.43418 20.6580i 0.397603 0.870629i −0.599905 0.800072i \(-0.704795\pi\)
0.997508 0.0705579i \(-0.0224780\pi\)
\(564\) −3.61861 + 20.2362i −0.152371 + 0.852096i
\(565\) −0.0233119 + 0.0403775i −0.000980741 + 0.00169869i
\(566\) −4.72146 13.4508i −0.198458 0.565380i
\(567\) −24.1482 + 21.7306i −1.01413 + 0.912598i
\(568\) 29.0009 21.2314i 1.21685 0.890849i
\(569\) 32.7767 + 7.95154i 1.37407 + 0.333346i 0.853776 0.520641i \(-0.174307\pi\)
0.520294 + 0.853987i \(0.325822\pi\)
\(570\) −12.9892 + 1.35931i −0.544058 + 0.0569351i
\(571\) −1.23893 + 3.09470i −0.0518476 + 0.129509i −0.952031 0.306003i \(-0.901008\pi\)
0.900183 + 0.435512i \(0.143433\pi\)
\(572\) −39.0363 7.16945i −1.63219 0.299770i
\(573\) 32.9579 + 18.8228i 1.37684 + 0.786334i
\(574\) 43.8122 + 37.6287i 1.82869 + 1.57059i
\(575\) −0.757893 + 2.18979i −0.0316063 + 0.0913205i
\(576\) −11.2513 + 21.1993i −0.468802 + 0.883303i
\(577\) −1.25544 26.3550i −0.0522648 1.09717i −0.860871 0.508823i \(-0.830081\pi\)
0.808606 0.588350i \(-0.200222\pi\)
\(578\) 23.1222 + 29.1387i 0.961759 + 1.21201i
\(579\) −13.4929 + 26.4766i −0.560746 + 1.10033i
\(580\) −13.9798 + 0.122503i −0.580481 + 0.00508668i
\(581\) 32.4870 4.67092i 1.34779 0.193783i
\(582\) −14.6239 + 20.9356i −0.606179 + 0.867810i
\(583\) −3.24599 + 4.12762i −0.134435 + 0.170948i
\(584\) 14.7209 3.77679i 0.609154 0.156285i
\(585\) 14.8276 23.5549i 0.613046 0.973876i
\(586\) −0.541101 0.421703i −0.0223527 0.0174204i
\(587\) −11.9899 + 16.8375i −0.494877 + 0.694957i −0.984183 0.177155i \(-0.943311\pi\)
0.489306 + 0.872112i \(0.337250\pi\)
\(588\) 18.8794 8.93074i 0.778572 0.368298i
\(589\) 22.7207 + 14.6017i 0.936189 + 0.601652i
\(590\) −21.9872 8.69079i −0.905200 0.357794i
\(591\) −1.39598 + 1.62639i −0.0574231 + 0.0669009i
\(592\) 21.2806 + 23.7066i 0.874626 + 0.974334i
\(593\) −19.1681 24.3742i −0.787138 1.00093i −0.999717 0.0237837i \(-0.992429\pi\)
0.212579 0.977144i \(-0.431814\pi\)
\(594\) −22.0757 10.8702i −0.905779 0.446009i
\(595\) 28.1031 24.3515i 1.15211 0.998312i
\(596\) −0.269693 0.656918i −0.0110470 0.0269084i
\(597\) −0.325802 0.453015i −0.0133342 0.0185407i
\(598\) 7.39593 1.82858i 0.302442 0.0747762i
\(599\) 6.02819 3.10775i 0.246305 0.126979i −0.330654 0.943752i \(-0.607269\pi\)
0.576959 + 0.816773i \(0.304239\pi\)
\(600\) −12.3026 2.14436i −0.502252 0.0875430i
\(601\) −2.25740 9.30512i −0.0920812 0.379564i 0.907060 0.421002i \(-0.138321\pi\)
−0.999141 + 0.0414378i \(0.986806\pi\)
\(602\) 3.00683 15.9773i 0.122549 0.651186i
\(603\) 15.8406 18.7637i 0.645079 0.764116i
\(604\) 3.74504 9.59755i 0.152383 0.390519i
\(605\) 0.323987 0.0785983i 0.0131719 0.00319548i
\(606\) −4.59324 22.7211i −0.186587 0.922981i
\(607\) 2.15699 + 4.18398i 0.0875495 + 0.169822i 0.928545 0.371220i \(-0.121060\pi\)
−0.840996 + 0.541042i \(0.818030\pi\)
\(608\) 9.26510 16.8917i 0.375749 0.685047i
\(609\) 22.6631 16.2990i 0.918355 0.660468i
\(610\) 9.66921 6.27405i 0.391495 0.254029i
\(611\) 23.0305 + 26.5786i 0.931715 + 1.07526i
\(612\) −15.3368 36.3826i −0.619953 1.47068i
\(613\) 14.2598 11.2140i 0.575948 0.452931i −0.287207 0.957868i \(-0.592727\pi\)
0.863156 + 0.504938i \(0.168484\pi\)
\(614\) −15.4483 4.46261i −0.623443 0.180096i
\(615\) −23.2788 19.9809i −0.938691 0.805706i
\(616\) 25.0502 + 23.2645i 1.00930 + 0.937353i
\(617\) −6.08384 + 9.46665i −0.244926 + 0.381113i −0.941851 0.336032i \(-0.890915\pi\)
0.696924 + 0.717145i \(0.254551\pi\)
\(618\) 15.1202 10.9750i 0.608222 0.441481i
\(619\) 9.39492 + 6.69009i 0.377614 + 0.268898i 0.753067 0.657944i \(-0.228574\pi\)
−0.375453 + 0.926841i \(0.622513\pi\)
\(620\) −16.4239 18.6219i −0.659599 0.747875i
\(621\) 4.72082 + 0.158372i 0.189440 + 0.00635523i
\(622\) −23.5263 + 16.9088i −0.943317 + 0.677981i
\(623\) −23.4342 18.4288i −0.938870 0.738335i
\(624\) 16.1028 + 37.7690i 0.644627 + 1.51197i
\(625\) 0.819216 + 5.69777i 0.0327686 + 0.227911i
\(626\) 3.20740 + 16.2579i 0.128193 + 0.649797i
\(627\) 17.5994 + 8.96891i 0.702851 + 0.358184i
\(628\) 42.8106 22.5474i 1.70833 0.899739i
\(629\) −52.3493 + 2.49371i −2.08730 + 0.0994306i
\(630\) −21.6691 + 10.2585i −0.863316 + 0.408710i
\(631\) −11.1193 3.84843i −0.442652 0.153203i 0.0966449 0.995319i \(-0.469189\pi\)
−0.539297 + 0.842115i \(0.681310\pi\)
\(632\) 9.18424 4.88866i 0.365330 0.194460i
\(633\) −1.57576 + 2.75909i −0.0626308 + 0.109664i
\(634\) 14.7325 0.0645481i 0.585101 0.00256353i
\(635\) 11.1286 + 4.45523i 0.441626 + 0.176800i
\(636\) 5.41409 + 0.443584i 0.214683 + 0.0175892i
\(637\) 8.42359 34.7225i 0.333755 1.37576i
\(638\) 17.8380 + 11.3537i 0.706215 + 0.449497i
\(639\) 12.1302 36.1408i 0.479863 1.42971i
\(640\) −12.4379 + 12.6100i −0.491651 + 0.498452i
\(641\) 3.67945 + 2.12433i 0.145330 + 0.0839060i 0.570902 0.821018i \(-0.306594\pi\)
−0.425572 + 0.904925i \(0.639927\pi\)
\(642\) 10.9571 0.0993793i 0.432440 0.00392219i
\(643\) −11.9899 5.47560i −0.472835 0.215937i 0.164721 0.986340i \(-0.447327\pi\)
−0.637557 + 0.770404i \(0.720055\pi\)
\(644\) −6.22008 2.09194i −0.245105 0.0824340i
\(645\) −1.59459 + 8.48748i −0.0627871 + 0.334194i
\(646\) 11.9085 + 29.3724i 0.468534 + 1.15564i
\(647\) −2.29195 + 0.917559i −0.0901059 + 0.0360730i −0.416278 0.909238i \(-0.636666\pi\)
0.326172 + 0.945311i \(0.394241\pi\)
\(648\) 3.22666 + 25.2505i 0.126755 + 0.991934i
\(649\) 20.7419 + 29.1279i 0.814191 + 1.14337i
\(650\) −16.0846 + 14.0612i −0.630889 + 0.551527i
\(651\) 48.2359 + 11.4627i 1.89051 + 0.449259i
\(652\) −40.4034 18.0254i −1.58232 0.705930i
\(653\) 17.0150 33.0045i 0.665848 1.29156i −0.277808 0.960637i \(-0.589608\pi\)
0.943656 0.330928i \(-0.107362\pi\)
\(654\) −8.32126 2.36158i −0.325387 0.0923451i
\(655\) −2.17339 7.40188i −0.0849213 0.289215i
\(656\) 43.7854 11.4383i 1.70953 0.446590i
\(657\) 10.4414 12.2808i 0.407356 0.479118i
\(658\) −4.44248 29.9655i −0.173186 1.16818i
\(659\) 25.8181 + 2.46533i 1.00573 + 0.0960356i 0.584902 0.811104i \(-0.301133\pi\)
0.420829 + 0.907140i \(0.361739\pi\)
\(660\) −13.3102 12.3538i −0.518101 0.480871i
\(661\) 16.4577 + 4.83241i 0.640130 + 0.187959i 0.585661 0.810556i \(-0.300835\pi\)
0.0544692 + 0.998515i \(0.482653\pi\)
\(662\) 16.1219 + 27.6436i 0.626597 + 1.07440i
\(663\) −64.8988 18.7260i −2.52046 0.727256i
\(664\) 11.4833 23.0122i 0.445639 0.893048i
\(665\) 17.5063 7.99485i 0.678864 0.310027i
\(666\) 32.9434 + 7.51364i 1.27653 + 0.291148i
\(667\) −4.01758 0.577641i −0.155561 0.0223663i
\(668\) 0.945369 7.01076i 0.0365774 0.271254i
\(669\) −20.8575 35.7383i −0.806399 1.38172i
\(670\) 15.1678 9.91742i 0.585983 0.383144i
\(671\) −17.4332 −0.673001
\(672\) 5.76732 34.8930i 0.222479 1.34603i
\(673\) 1.13460 7.89131i 0.0437356 0.304188i −0.956199 0.292719i \(-0.905440\pi\)
0.999934 0.0114691i \(-0.00365080\pi\)
\(674\) −5.16568 17.3117i −0.198975 0.666824i
\(675\) −11.9701 + 5.67135i −0.460728 + 0.218290i
\(676\) 42.5571 + 12.0919i 1.63681 + 0.465072i
\(677\) −23.0122 24.1345i −0.884431 0.927565i 0.113389 0.993551i \(-0.463829\pi\)
−0.997821 + 0.0659857i \(0.978981\pi\)
\(678\) −0.0635045 0.0359003i −0.00243887 0.00137874i
\(679\) 10.6021 36.1076i 0.406873 1.38568i
\(680\) −3.15079 28.9675i −0.120827 1.11085i
\(681\) −7.39967 + 3.42133i −0.283556 + 0.131106i
\(682\) 5.50732 + 37.1481i 0.210886 + 1.42248i
\(683\) 2.07280 + 0.399499i 0.0793134 + 0.0152864i 0.228754 0.973484i \(-0.426535\pi\)
−0.149440 + 0.988771i \(0.547747\pi\)
\(684\) −2.31106 20.3033i −0.0883658 0.776317i
\(685\) −16.1882 + 4.75329i −0.618520 + 0.181614i
\(686\) 3.57222 3.43611i 0.136388 0.131191i
\(687\) −23.5565 + 1.23285i −0.898737 + 0.0470362i
\(688\) −8.95144 9.06448i −0.341270 0.345580i
\(689\) 6.41311 6.72588i 0.244320 0.256235i
\(690\) 3.30439 + 1.11020i 0.125796 + 0.0422648i
\(691\) −9.36437 + 6.66834i −0.356237 + 0.253676i −0.744138 0.668026i \(-0.767140\pi\)
0.387901 + 0.921701i \(0.373200\pi\)
\(692\) 14.1745 + 3.30746i 0.538834 + 0.125731i
\(693\) 35.9385 + 4.82368i 1.36519 + 0.183236i
\(694\) 14.0755 + 34.7172i 0.534297 + 1.31785i
\(695\) −11.4269 + 13.1873i −0.433447 + 0.500225i
\(696\) −0.390048 21.8708i −0.0147847 0.829011i
\(697\) −30.9276 + 67.7220i −1.17147 + 2.56515i
\(698\) 25.9355 + 14.8228i 0.981674 + 0.561050i
\(699\) −4.16008 + 0.0195039i −0.157349 + 0.000737707i
\(700\) 18.1915 2.77846i 0.687575 0.105016i
\(701\) 8.61508 + 44.6993i 0.325387 + 1.68827i 0.664313 + 0.747455i \(0.268724\pi\)
−0.338926 + 0.940813i \(0.610064\pi\)
\(702\) 37.0639 + 22.8647i 1.39889 + 0.862971i
\(703\) −26.3595 6.39475i −0.994168 0.241183i
\(704\) 26.1621 5.75943i 0.986023 0.217067i
\(705\) 2.36469 + 15.9167i 0.0890595 + 0.599457i
\(706\) −37.4846 + 0.164233i −1.41075 + 0.00618100i
\(707\) 17.0796 + 29.5827i 0.642343 + 1.11257i
\(708\) 13.2854 34.5241i 0.499296 1.29749i
\(709\) −0.542014 + 1.56605i −0.0203558 + 0.0588141i −0.954721 0.297503i \(-0.903846\pi\)
0.934365 + 0.356317i \(0.115968\pi\)
\(710\) 16.2188 22.9886i 0.608680 0.862747i
\(711\) 4.96453 9.85566i 0.186184 0.369616i
\(712\) −22.3260 + 6.87552i −0.836703 + 0.257671i
\(713\) −3.89737 6.06442i −0.145958 0.227114i
\(714\) 38.4985 + 43.6239i 1.44077 + 1.63258i
\(715\) −30.7511 + 4.42133i −1.15002 + 0.165349i
\(716\) −9.54114 37.8774i −0.356569 1.41554i
\(717\) 39.9486 + 5.55271i 1.49191 + 0.207370i
\(718\) −5.72759 + 4.11654i −0.213752 + 0.153628i
\(719\) 0.402216 8.44356i 0.0150001 0.314891i −0.978881 0.204433i \(-0.934465\pi\)
0.993881 0.110459i \(-0.0352320\pi\)
\(720\) −3.05785 + 18.5358i −0.113960 + 0.690788i
\(721\) −15.9701 + 22.4269i −0.594758 + 0.835220i
\(722\) −1.04054 10.4147i −0.0387251 0.387593i
\(723\) −3.74828 0.160943i −0.139400 0.00598554i
\(724\) −41.4245 26.1119i −1.53953 0.970441i
\(725\) 10.7560 3.72269i 0.399468 0.138257i
\(726\) 0.127571 + 0.505787i 0.00473459 + 0.0187715i
\(727\) −3.54562 4.50862i −0.131500 0.167216i 0.715844 0.698260i \(-0.246042\pi\)
−0.847344 + 0.531045i \(0.821800\pi\)
\(728\) −40.2192 45.2011i −1.49062 1.67526i
\(729\) 18.2482 + 19.8999i 0.675858 + 0.737032i
\(730\) 9.97941 6.47533i 0.369355 0.239663i
\(731\) 20.8631 1.99218i 0.771649 0.0736835i
\(732\) 9.95345 + 15.0392i 0.367890 + 0.555864i
\(733\) −25.4055 + 13.0974i −0.938374 + 0.483765i −0.858371 0.513029i \(-0.828523\pi\)
−0.0800026 + 0.996795i \(0.525493\pi\)
\(734\) 1.79998 5.27537i 0.0664385 0.194717i
\(735\) 11.7787 11.3368i 0.434463 0.418166i
\(736\) −4.12242 + 3.07384i −0.151954 + 0.113303i
\(737\) −27.4091 + 0.0957936i −1.00963 + 0.00352860i
\(738\) 30.9313 36.7050i 1.13860 1.35113i
\(739\) 2.00386 0.486132i 0.0737132 0.0178826i −0.198733 0.980054i \(-0.563683\pi\)
0.272446 + 0.962171i \(0.412167\pi\)
\(740\) 21.7040 + 12.2785i 0.797856 + 0.451367i
\(741\) −29.4974 18.7620i −1.08361 0.689238i
\(742\) −7.77096 + 1.92130i −0.285281 + 0.0705332i
\(743\) 3.37328 0.322109i 0.123754 0.0118170i −0.0329954 0.999456i \(-0.510505\pi\)
0.156749 + 0.987638i \(0.449899\pi\)
\(744\) 28.9024 25.9607i 1.05961 0.951765i
\(745\) −0.364010 0.420090i −0.0133363 0.0153909i
\(746\) −15.0154 + 29.4419i −0.549754 + 1.07794i
\(747\) −4.13511 26.9631i −0.151296 0.986528i
\(748\) −19.8503 + 39.3470i −0.725799 + 1.43867i
\(749\) −15.2589 + 5.28117i −0.557549 + 0.192970i