Properties

Label 273.2.bw.b.254.10
Level $273$
Weight $2$
Character 273.254
Analytic conductor $2.180$
Analytic rank $0$
Dimension $128$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 273 = 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 273.bw (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.17991597518\)
Analytic rank: \(0\)
Dimension: \(128\)
Relative dimension: \(32\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 254.10
Character \(\chi\) \(=\) 273.254
Dual form 273.2.bw.b.158.10

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.12566 - 0.301621i) q^{2} +(-0.956672 + 1.44388i) q^{3} +(-0.555907 - 0.320953i) q^{4} +(-0.0307184 - 0.114643i) q^{5} +(1.51239 - 1.33677i) q^{6} +(-1.83159 - 1.90926i) q^{7} +(2.17704 + 2.17704i) q^{8} +(-1.16956 - 2.76263i) q^{9} +O(q^{10})\) \(q+(-1.12566 - 0.301621i) q^{2} +(-0.956672 + 1.44388i) q^{3} +(-0.555907 - 0.320953i) q^{4} +(-0.0307184 - 0.114643i) q^{5} +(1.51239 - 1.33677i) q^{6} +(-1.83159 - 1.90926i) q^{7} +(2.17704 + 2.17704i) q^{8} +(-1.16956 - 2.76263i) q^{9} +0.138314i q^{10} +(2.30816 + 2.30816i) q^{11} +(0.995238 - 0.495614i) q^{12} +(2.91361 - 2.12388i) q^{13} +(1.48589 + 2.70163i) q^{14} +(0.194917 + 0.0653219i) q^{15} +(-1.15207 - 1.99545i) q^{16} +(0.665993 - 1.15353i) q^{17} +(0.483261 + 3.46256i) q^{18} +(3.29820 + 3.29820i) q^{19} +(-0.0197183 + 0.0735899i) q^{20} +(4.50897 - 0.818062i) q^{21} +(-1.90203 - 3.29441i) q^{22} +(1.93397 + 3.34974i) q^{23} +(-5.22610 + 1.06067i) q^{24} +(4.31793 - 2.49296i) q^{25} +(-3.92035 + 1.51196i) q^{26} +(5.10778 + 0.954237i) q^{27} +(0.405414 + 1.64923i) q^{28} +(4.77597 + 2.75741i) q^{29} +(-0.199709 - 0.132322i) q^{30} +(2.08744 - 7.79044i) q^{31} +(-0.898730 - 3.35411i) q^{32} +(-5.54086 + 1.12455i) q^{33} +(-1.09761 + 1.09761i) q^{34} +(-0.162619 + 0.268628i) q^{35} +(-0.236510 + 1.91114i) q^{36} +(1.91363 + 0.512755i) q^{37} +(-2.71786 - 4.70746i) q^{38} +(0.279242 + 6.23875i) q^{39} +(0.182707 - 0.316458i) q^{40} +(-3.06784 - 11.4493i) q^{41} +(-5.32232 - 0.439135i) q^{42} +(-0.721158 + 0.416361i) q^{43} +(-0.542312 - 2.02394i) q^{44} +(-0.280789 + 0.218945i) q^{45} +(-1.16665 - 4.35400i) q^{46} +(-6.90470 + 1.85011i) q^{47} +(3.98333 + 0.245539i) q^{48} +(-0.290527 + 6.99397i) q^{49} +(-5.61246 + 1.50385i) q^{50} +(1.02842 + 2.06516i) q^{51} +(-2.30136 + 0.245545i) q^{52} +(-5.67844 + 3.27845i) q^{53} +(-5.46183 - 2.61476i) q^{54} +(0.193711 - 0.335517i) q^{55} +(0.169076 - 8.14400i) q^{56} +(-7.91748 + 1.60689i) q^{57} +(-4.54445 - 4.54445i) q^{58} +(4.47475 - 1.19901i) q^{59} +(-0.0873907 - 0.0988722i) q^{60} +8.26536 q^{61} +(-4.69952 + 8.13980i) q^{62} +(-3.13242 + 7.29301i) q^{63} +8.65496i q^{64} +(-0.332989 - 0.268782i) q^{65} +(6.57633 + 0.405376i) q^{66} +(-0.646649 - 0.646649i) q^{67} +(-0.740461 + 0.427505i) q^{68} +(-6.68678 - 0.412184i) q^{69} +(0.264078 - 0.253336i) q^{70} +(15.9044 + 4.26157i) q^{71} +(3.46820 - 8.56055i) q^{72} +(-12.6146 - 3.38008i) q^{73} +(-1.99944 - 1.15438i) q^{74} +(-0.531320 + 8.61950i) q^{75} +(-0.774925 - 2.89206i) q^{76} +(0.179260 - 8.63450i) q^{77} +(1.56740 - 7.10696i) q^{78} +(1.52818 - 2.64689i) q^{79} +(-0.193374 + 0.193374i) q^{80} +(-6.26427 + 6.46211i) q^{81} +13.8134i q^{82} +(-2.83853 + 2.83853i) q^{83} +(-2.76913 - 0.992401i) q^{84} +(-0.152702 - 0.0409165i) q^{85} +(0.937364 - 0.251166i) q^{86} +(-8.55040 + 4.25798i) q^{87} +10.0500i q^{88} +(-1.62276 + 6.05624i) q^{89} +(0.382112 - 0.161767i) q^{90} +(-9.39159 - 1.67276i) q^{91} -2.48286i q^{92} +(9.25143 + 10.4669i) q^{93} +8.33040 q^{94} +(0.276799 - 0.479429i) q^{95} +(5.70270 + 1.91112i) q^{96} +(3.43995 - 12.8381i) q^{97} +(2.43656 - 7.78523i) q^{98} +(3.67708 - 9.07614i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 128q - 4q^{3} - 12q^{4} - 4q^{6} - 16q^{7} - 16q^{9} + O(q^{10}) \) \( 128q - 4q^{3} - 12q^{4} - 4q^{6} - 16q^{7} - 16q^{9} - 48q^{12} - 16q^{13} - 6q^{15} + 32q^{16} + 22q^{18} - 16q^{19} - 18q^{21} - 8q^{22} - 4q^{24} - 40q^{27} - 76q^{28} - 4q^{31} + 50q^{33} - 48q^{34} - 60q^{36} + 28q^{37} + 40q^{39} + 44q^{40} + 44q^{42} - 144q^{43} + 58q^{45} + 48q^{46} - 64q^{48} + 24q^{49} + 36q^{51} - 22q^{54} - 16q^{55} + 40q^{57} - 28q^{58} - 4q^{60} - 40q^{61} + 20q^{63} - 34q^{66} + 96q^{67} - 54q^{69} + 64q^{70} - 98q^{72} + 48q^{73} - 12q^{75} + 144q^{76} + 82q^{78} - 24q^{79} - 48q^{81} + 4q^{84} + 56q^{85} - 2q^{87} - 24q^{91} + 10q^{93} + 32q^{94} - 54q^{96} + 52q^{97} - 10q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).

\(n\) \(92\) \(106\) \(157\)
\(\chi(n)\) \(-1\) \(e\left(\frac{11}{12}\right)\) \(e\left(\frac{1}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.12566 0.301621i −0.795964 0.213278i −0.162153 0.986766i \(-0.551844\pi\)
−0.633811 + 0.773488i \(0.718510\pi\)
\(3\) −0.956672 + 1.44388i −0.552335 + 0.833622i
\(4\) −0.555907 0.320953i −0.277954 0.160477i
\(5\) −0.0307184 0.114643i −0.0137377 0.0512698i 0.958717 0.284363i \(-0.0917820\pi\)
−0.972454 + 0.233093i \(0.925115\pi\)
\(6\) 1.51239 1.33677i 0.617432 0.545733i
\(7\) −1.83159 1.90926i −0.692277 0.721631i
\(8\) 2.17704 + 2.17704i 0.769701 + 0.769701i
\(9\) −1.16956 2.76263i −0.389852 0.920877i
\(10\) 0.138314i 0.0437389i
\(11\) 2.30816 + 2.30816i 0.695938 + 0.695938i 0.963532 0.267594i \(-0.0862286\pi\)
−0.267594 + 0.963532i \(0.586229\pi\)
\(12\) 0.995238 0.495614i 0.287300 0.143072i
\(13\) 2.91361 2.12388i 0.808091 0.589057i
\(14\) 1.48589 + 2.70163i 0.397120 + 0.722040i
\(15\) 0.194917 + 0.0653219i 0.0503274 + 0.0168660i
\(16\) −1.15207 1.99545i −0.288018 0.498862i
\(17\) 0.665993 1.15353i 0.161527 0.279773i −0.773890 0.633321i \(-0.781691\pi\)
0.935417 + 0.353548i \(0.115025\pi\)
\(18\) 0.483261 + 3.46256i 0.113906 + 0.816133i
\(19\) 3.29820 + 3.29820i 0.756658 + 0.756658i 0.975713 0.219055i \(-0.0702973\pi\)
−0.219055 + 0.975713i \(0.570297\pi\)
\(20\) −0.0197183 + 0.0735899i −0.00440916 + 0.0164552i
\(21\) 4.50897 0.818062i 0.983937 0.178516i
\(22\) −1.90203 3.29441i −0.405513 0.702370i
\(23\) 1.93397 + 3.34974i 0.403261 + 0.698468i 0.994117 0.108308i \(-0.0345434\pi\)
−0.590857 + 0.806777i \(0.701210\pi\)
\(24\) −5.22610 + 1.06067i −1.06677 + 0.216507i
\(25\) 4.31793 2.49296i 0.863586 0.498591i
\(26\) −3.92035 + 1.51196i −0.768845 + 0.296521i
\(27\) 5.10778 + 0.954237i 0.982993 + 0.183643i
\(28\) 0.405414 + 1.64923i 0.0766161 + 0.311674i
\(29\) 4.77597 + 2.75741i 0.886876 + 0.512038i 0.872919 0.487864i \(-0.162224\pi\)
0.0139567 + 0.999903i \(0.495557\pi\)
\(30\) −0.199709 0.132322i −0.0364617 0.0241585i
\(31\) 2.08744 7.79044i 0.374916 1.39920i −0.478552 0.878059i \(-0.658838\pi\)
0.853468 0.521145i \(-0.174495\pi\)
\(32\) −0.898730 3.35411i −0.158875 0.592928i
\(33\) −5.54086 + 1.12455i −0.964540 + 0.195759i
\(34\) −1.09761 + 1.09761i −0.188239 + 0.188239i
\(35\) −0.162619 + 0.268628i −0.0274876 + 0.0454065i
\(36\) −0.236510 + 1.91114i −0.0394184 + 0.318523i
\(37\) 1.91363 + 0.512755i 0.314598 + 0.0842964i 0.412663 0.910884i \(-0.364599\pi\)
−0.0980649 + 0.995180i \(0.531265\pi\)
\(38\) −2.71786 4.70746i −0.440894 0.763651i
\(39\) 0.279242 + 6.23875i 0.0447145 + 0.999000i
\(40\) 0.182707 0.316458i 0.0288885 0.0500363i
\(41\) −3.06784 11.4493i −0.479116 1.78809i −0.605208 0.796067i \(-0.706910\pi\)
0.126092 0.992019i \(-0.459757\pi\)
\(42\) −5.32232 0.439135i −0.821252 0.0677600i
\(43\) −0.721158 + 0.416361i −0.109976 + 0.0634944i −0.553979 0.832531i \(-0.686891\pi\)
0.444003 + 0.896025i \(0.353558\pi\)
\(44\) −0.542312 2.02394i −0.0817567 0.305120i
\(45\) −0.280789 + 0.218945i −0.0418575 + 0.0326384i
\(46\) −1.16665 4.35400i −0.172013 0.641962i
\(47\) −6.90470 + 1.85011i −1.00715 + 0.269866i −0.724440 0.689338i \(-0.757902\pi\)
−0.282714 + 0.959204i \(0.591235\pi\)
\(48\) 3.98333 + 0.245539i 0.574945 + 0.0354405i
\(49\) −0.290527 + 6.99397i −0.0415038 + 0.999138i
\(50\) −5.61246 + 1.50385i −0.793722 + 0.212677i
\(51\) 1.02842 + 2.06516i 0.144008 + 0.289181i
\(52\) −2.30136 + 0.245545i −0.319142 + 0.0340509i
\(53\) −5.67844 + 3.27845i −0.779994 + 0.450330i −0.836428 0.548076i \(-0.815360\pi\)
0.0564339 + 0.998406i \(0.482027\pi\)
\(54\) −5.46183 2.61476i −0.743260 0.355824i
\(55\) 0.193711 0.335517i 0.0261200 0.0452411i
\(56\) 0.169076 8.14400i 0.0225938 1.08829i
\(57\) −7.91748 + 1.60689i −1.04870 + 0.212838i
\(58\) −4.54445 4.54445i −0.596715 0.596715i
\(59\) 4.47475 1.19901i 0.582563 0.156097i 0.0445108 0.999009i \(-0.485827\pi\)
0.538052 + 0.842912i \(0.319160\pi\)
\(60\) −0.0873907 0.0988722i −0.0112821 0.0127644i
\(61\) 8.26536 1.05827 0.529135 0.848538i \(-0.322516\pi\)
0.529135 + 0.848538i \(0.322516\pi\)
\(62\) −4.69952 + 8.13980i −0.596839 + 1.03376i
\(63\) −3.13242 + 7.29301i −0.394648 + 0.918832i
\(64\) 8.65496i 1.08187i
\(65\) −0.332989 0.268782i −0.0413021 0.0333384i
\(66\) 6.57633 + 0.405376i 0.809490 + 0.0498983i
\(67\) −0.646649 0.646649i −0.0790007 0.0790007i 0.666502 0.745503i \(-0.267791\pi\)
−0.745503 + 0.666502i \(0.767791\pi\)
\(68\) −0.740461 + 0.427505i −0.0897940 + 0.0518426i
\(69\) −6.68678 0.412184i −0.804994 0.0496211i
\(70\) 0.264078 0.253336i 0.0315633 0.0302794i
\(71\) 15.9044 + 4.26157i 1.88751 + 0.505756i 0.998890 + 0.0471031i \(0.0149989\pi\)
0.888616 + 0.458653i \(0.151668\pi\)
\(72\) 3.46820 8.56055i 0.408731 1.00887i
\(73\) −12.6146 3.38008i −1.47643 0.395609i −0.571301 0.820741i \(-0.693561\pi\)
−0.905131 + 0.425132i \(0.860228\pi\)
\(74\) −1.99944 1.15438i −0.232431 0.134194i
\(75\) −0.531320 + 8.61950i −0.0613515 + 0.995294i
\(76\) −0.774925 2.89206i −0.0888899 0.331742i
\(77\) 0.179260 8.63450i 0.0204285 0.983992i
\(78\) 1.56740 7.10696i 0.177474 0.804705i
\(79\) 1.52818 2.64689i 0.171934 0.297798i −0.767162 0.641453i \(-0.778332\pi\)
0.939096 + 0.343655i \(0.111665\pi\)
\(80\) −0.193374 + 0.193374i −0.0216198 + 0.0216198i
\(81\) −6.26427 + 6.46211i −0.696030 + 0.718012i
\(82\) 13.8134i 1.52544i
\(83\) −2.83853 + 2.83853i −0.311569 + 0.311569i −0.845517 0.533948i \(-0.820708\pi\)
0.533948 + 0.845517i \(0.320708\pi\)
\(84\) −2.76913 0.992401i −0.302136 0.108280i
\(85\) −0.152702 0.0409165i −0.0165629 0.00443802i
\(86\) 0.937364 0.251166i 0.101079 0.0270839i
\(87\) −8.55040 + 4.25798i −0.916699 + 0.456503i
\(88\) 10.0500i 1.07133i
\(89\) −1.62276 + 6.05624i −0.172013 + 0.641960i 0.825028 + 0.565091i \(0.191159\pi\)
−0.997041 + 0.0768691i \(0.975508\pi\)
\(90\) 0.382112 0.161767i 0.0402781 0.0170517i
\(91\) −9.39159 1.67276i −0.984506 0.175353i
\(92\) 2.48286i 0.258856i
\(93\) 9.25143 + 10.4669i 0.959329 + 1.08537i
\(94\) 8.33040 0.859215
\(95\) 0.276799 0.479429i 0.0283989 0.0491884i
\(96\) 5.70270 + 1.91112i 0.582030 + 0.195053i
\(97\) 3.43995 12.8381i 0.349274 1.30351i −0.538264 0.842776i \(-0.680920\pi\)
0.887538 0.460734i \(-0.152414\pi\)
\(98\) 2.43656 7.78523i 0.246130 0.786427i
\(99\) 3.67708 9.07614i 0.369560 0.912186i
\(100\) −3.20049 −0.320049
\(101\) 1.83176 0.182267 0.0911336 0.995839i \(-0.470951\pi\)
0.0911336 + 0.995839i \(0.470951\pi\)
\(102\) −0.534762 2.63487i −0.0529493 0.260891i
\(103\) 0.680677 + 0.392989i 0.0670691 + 0.0387224i 0.533160 0.846015i \(-0.321005\pi\)
−0.466090 + 0.884737i \(0.654338\pi\)
\(104\) 10.9668 + 1.71929i 1.07539 + 0.168591i
\(105\) −0.232293 0.491790i −0.0226695 0.0479938i
\(106\) 7.38087 1.97770i 0.716893 0.192091i
\(107\) −2.87364 + 1.65909i −0.277805 + 0.160391i −0.632429 0.774618i \(-0.717942\pi\)
0.354624 + 0.935009i \(0.384609\pi\)
\(108\) −2.53319 2.16983i −0.243756 0.208792i
\(109\) 1.65408 6.17312i 0.158432 0.591278i −0.840355 0.542037i \(-0.817653\pi\)
0.998787 0.0492407i \(-0.0156801\pi\)
\(110\) −0.319252 + 0.319252i −0.0304395 + 0.0304395i
\(111\) −2.57107 + 2.27250i −0.244035 + 0.215696i
\(112\) −1.69969 + 5.85445i −0.160606 + 0.553193i
\(113\) 4.48611 2.59006i 0.422018 0.243652i −0.273922 0.961752i \(-0.588321\pi\)
0.695940 + 0.718100i \(0.254988\pi\)
\(114\) 9.39709 + 0.579252i 0.880118 + 0.0542519i
\(115\) 0.324614 0.324614i 0.0302704 0.0302704i
\(116\) −1.77000 3.06573i −0.164340 0.284646i
\(117\) −9.27513 5.56525i −0.857486 0.514507i
\(118\) −5.39871 −0.496991
\(119\) −3.42222 + 0.841253i −0.313714 + 0.0771176i
\(120\) 0.282135 + 0.566552i 0.0257553 + 0.0517189i
\(121\) 0.344759i 0.0313418i
\(122\) −9.30401 2.49300i −0.842346 0.225706i
\(123\) 19.4663 + 6.52368i 1.75522 + 0.588220i
\(124\) −3.66079 + 3.66079i −0.328749 + 0.328749i
\(125\) −0.838061 0.838061i −0.0749584 0.0749584i
\(126\) 5.72577 7.26467i 0.510093 0.647188i
\(127\) 18.0978 + 10.4488i 1.60592 + 0.927180i 0.990269 + 0.139164i \(0.0444415\pi\)
0.615654 + 0.788017i \(0.288892\pi\)
\(128\) 0.813054 3.03436i 0.0718645 0.268202i
\(129\) 0.0887383 1.43958i 0.00781297 0.126748i
\(130\) 0.293763 + 0.402995i 0.0257647 + 0.0353450i
\(131\) 1.05177 + 0.607237i 0.0918932 + 0.0530546i 0.545242 0.838278i \(-0.316438\pi\)
−0.453349 + 0.891333i \(0.649771\pi\)
\(132\) 3.44113 + 1.15321i 0.299512 + 0.100374i
\(133\) 0.256149 12.3381i 0.0222109 1.06985i
\(134\) 0.532866 + 0.922952i 0.0460326 + 0.0797309i
\(135\) −0.0475066 0.614882i −0.00408872 0.0529207i
\(136\) 3.96119 1.06140i 0.339669 0.0910141i
\(137\) −3.41113 + 0.914009i −0.291432 + 0.0780891i −0.401573 0.915827i \(-0.631536\pi\)
0.110141 + 0.993916i \(0.464870\pi\)
\(138\) 7.40274 + 2.48085i 0.630163 + 0.211184i
\(139\) 1.48718 + 2.57588i 0.126141 + 0.218483i 0.922178 0.386765i \(-0.126407\pi\)
−0.796037 + 0.605248i \(0.793074\pi\)
\(140\) 0.176618 0.0971394i 0.0149269 0.00820978i
\(141\) 3.93421 11.7395i 0.331320 0.988643i
\(142\) −16.6176 9.59419i −1.39452 0.805127i
\(143\) 11.6274 + 1.82284i 0.972328 + 0.152434i
\(144\) −4.16527 + 5.51654i −0.347106 + 0.459712i
\(145\) 0.169407 0.632234i 0.0140684 0.0525042i
\(146\) 13.1803 + 7.60967i 1.09081 + 0.629781i
\(147\) −9.82049 7.11042i −0.809980 0.586457i
\(148\) −0.899229 0.899229i −0.0739162 0.0739162i
\(149\) 15.8436 15.8436i 1.29796 1.29796i 0.368215 0.929741i \(-0.379969\pi\)
0.929741 0.368215i \(-0.120031\pi\)
\(150\) 3.19791 9.54239i 0.261108 0.779133i
\(151\) 4.65718 + 1.24789i 0.378996 + 0.101552i 0.443287 0.896380i \(-0.353812\pi\)
−0.0642916 + 0.997931i \(0.520479\pi\)
\(152\) 14.3606i 1.16480i
\(153\) −3.96571 0.490770i −0.320608 0.0396764i
\(154\) −2.80613 + 9.66547i −0.226124 + 0.778866i
\(155\) −0.957240 −0.0768874
\(156\) 1.84711 3.55779i 0.147888 0.284851i
\(157\) 7.42189 + 12.8551i 0.592332 + 1.02595i 0.993918 + 0.110127i \(0.0351258\pi\)
−0.401586 + 0.915821i \(0.631541\pi\)
\(158\) −2.51858 + 2.51858i −0.200367 + 0.200367i
\(159\) 0.698731 11.3354i 0.0554130 0.898954i
\(160\) −0.356916 + 0.206066i −0.0282167 + 0.0162909i
\(161\) 2.85326 9.82780i 0.224868 0.774539i
\(162\) 9.00057 5.38473i 0.707152 0.423064i
\(163\) −7.17475 + 7.17475i −0.561970 + 0.561970i −0.929867 0.367897i \(-0.880078\pi\)
0.367897 + 0.929867i \(0.380078\pi\)
\(164\) −1.96927 + 7.34940i −0.153774 + 0.573892i
\(165\) 0.299127 + 0.600675i 0.0232870 + 0.0467625i
\(166\) 4.05139 2.33907i 0.314449 0.181547i
\(167\) −14.4465 + 3.87092i −1.11790 + 0.299540i −0.770033 0.638004i \(-0.779760\pi\)
−0.347867 + 0.937544i \(0.613094\pi\)
\(168\) 11.5972 + 8.03526i 0.894742 + 0.619934i
\(169\) 3.97829 12.3763i 0.306023 0.952024i
\(170\) 0.159550 + 0.0921164i 0.0122369 + 0.00706501i
\(171\) 5.25427 12.9691i 0.401804 0.991774i
\(172\) 0.534529 0.0407575
\(173\) −3.74658 −0.284847 −0.142424 0.989806i \(-0.545490\pi\)
−0.142424 + 0.989806i \(0.545490\pi\)
\(174\) 10.9092 2.21407i 0.827022 0.167849i
\(175\) −12.6684 3.67795i −0.957640 0.278027i
\(176\) 1.94665 7.26499i 0.146734 0.547619i
\(177\) −2.54965 + 7.60804i −0.191644 + 0.571855i
\(178\) 3.65337 6.32783i 0.273832 0.474291i
\(179\) −12.9383 −0.967054 −0.483527 0.875329i \(-0.660645\pi\)
−0.483527 + 0.875329i \(0.660645\pi\)
\(180\) 0.226364 0.0315930i 0.0168721 0.00235480i
\(181\) 22.6836i 1.68606i 0.537865 + 0.843031i \(0.319231\pi\)
−0.537865 + 0.843031i \(0.680769\pi\)
\(182\) 10.0672 + 4.71566i 0.746233 + 0.349548i
\(183\) −7.90724 + 11.9342i −0.584520 + 0.882198i
\(184\) −3.08218 + 11.5029i −0.227222 + 0.848002i
\(185\) 0.235134i 0.0172874i
\(186\) −7.25697 14.5726i −0.532107 1.06852i
\(187\) 4.19976 1.12532i 0.307117 0.0822918i
\(188\) 4.43217 + 1.18760i 0.323249 + 0.0866144i
\(189\) −7.53350 11.4998i −0.547981 0.836491i
\(190\) −0.456188 + 0.456188i −0.0330954 + 0.0330954i
\(191\) 18.7617i 1.35755i 0.734346 + 0.678775i \(0.237489\pi\)
−0.734346 + 0.678775i \(0.762511\pi\)
\(192\) −12.4967 8.27996i −0.901871 0.597554i
\(193\) −3.63429 + 3.63429i −0.261602 + 0.261602i −0.825705 0.564103i \(-0.809222\pi\)
0.564103 + 0.825705i \(0.309222\pi\)
\(194\) −7.74446 + 13.4138i −0.556020 + 0.963055i
\(195\) 0.706649 0.223658i 0.0506042 0.0160165i
\(196\) 2.40624 3.79475i 0.171874 0.271054i
\(197\) −2.31985 8.65781i −0.165283 0.616843i −0.998004 0.0631511i \(-0.979885\pi\)
0.832721 0.553692i \(-0.186782\pi\)
\(198\) −6.87670 + 9.10759i −0.488706 + 0.647249i
\(199\) −1.81522 1.04802i −0.128678 0.0742921i 0.434279 0.900778i \(-0.357003\pi\)
−0.562957 + 0.826486i \(0.690336\pi\)
\(200\) 14.8276 + 3.97304i 1.04847 + 0.280937i
\(201\) 1.55231 0.315050i 0.109492 0.0222219i
\(202\) −2.06195 0.552497i −0.145078 0.0388736i
\(203\) −3.48304 14.1690i −0.244462 0.994470i
\(204\) 0.0911135 1.47812i 0.00637922 0.103489i
\(205\) −1.21834 + 0.703411i −0.0850928 + 0.0491284i
\(206\) −0.647680 0.647680i −0.0451260 0.0451260i
\(207\) 6.99220 9.26056i 0.485991 0.643653i
\(208\) −7.59477 3.36710i −0.526603 0.233467i
\(209\) 15.2256i 1.05317i
\(210\) 0.113150 + 0.623655i 0.00780807 + 0.0430363i
\(211\) −7.40570 + 12.8270i −0.509829 + 0.883050i 0.490106 + 0.871663i \(0.336958\pi\)
−0.999935 + 0.0113874i \(0.996375\pi\)
\(212\) 4.20892 0.289070
\(213\) −21.3685 + 18.8871i −1.46414 + 1.29412i
\(214\) 3.73516 1.00083i 0.255331 0.0684156i
\(215\) 0.0698856 + 0.0698856i 0.00476616 + 0.00476616i
\(216\) 9.04245 + 13.1973i 0.615261 + 0.897961i
\(217\) −18.6973 + 10.2835i −1.26926 + 0.698087i
\(218\) −3.72388 + 6.44995i −0.252213 + 0.436846i
\(219\) 16.9485 14.9804i 1.14527 1.01228i
\(220\) −0.215371 + 0.124344i −0.0145203 + 0.00838329i
\(221\) −0.509517 4.77544i −0.0342738 0.321231i
\(222\) 3.57959 1.78259i 0.240247 0.119639i
\(223\) −9.06259 + 2.42831i −0.606876 + 0.162612i −0.549155 0.835721i \(-0.685050\pi\)
−0.0577216 + 0.998333i \(0.518384\pi\)
\(224\) −4.75774 + 7.85927i −0.317890 + 0.525119i
\(225\) −11.9372 9.01319i −0.795812 0.600879i
\(226\) −5.83107 + 1.56243i −0.387877 + 0.103931i
\(227\) 3.43120 + 12.8054i 0.227736 + 0.849924i 0.981290 + 0.192537i \(0.0616716\pi\)
−0.753553 + 0.657387i \(0.771662\pi\)
\(228\) 4.91712 + 1.64786i 0.325644 + 0.109132i
\(229\) −6.56048 24.4840i −0.433529 1.61795i −0.744563 0.667552i \(-0.767342\pi\)
0.311034 0.950399i \(-0.399325\pi\)
\(230\) −0.463317 + 0.267496i −0.0305502 + 0.0176382i
\(231\) 12.2957 + 8.51921i 0.808995 + 0.560523i
\(232\) 4.39450 + 16.4005i 0.288513 + 1.07675i
\(233\) −9.84858 + 17.0582i −0.645202 + 1.11752i 0.339053 + 0.940767i \(0.389893\pi\)
−0.984255 + 0.176755i \(0.943440\pi\)
\(234\) 8.76208 + 9.06217i 0.572795 + 0.592412i
\(235\) 0.424203 + 0.734741i 0.0276720 + 0.0479292i
\(236\) −2.87237 0.769649i −0.186975 0.0500999i
\(237\) 2.35981 + 4.73871i 0.153286 + 0.307812i
\(238\) 4.10601 + 0.0852443i 0.266153 + 0.00552557i
\(239\) −8.29550 + 8.29550i −0.536591 + 0.536591i −0.922526 0.385935i \(-0.873879\pi\)
0.385935 + 0.922526i \(0.373879\pi\)
\(240\) −0.0942124 0.464203i −0.00608138 0.0299641i
\(241\) 0.486976 + 1.81742i 0.0313689 + 0.117070i 0.979835 0.199808i \(-0.0640319\pi\)
−0.948466 + 0.316879i \(0.897365\pi\)
\(242\) −0.103987 + 0.388083i −0.00668451 + 0.0249469i
\(243\) −3.33763 15.2270i −0.214109 0.976810i
\(244\) −4.59477 2.65279i −0.294150 0.169828i
\(245\) 0.810732 0.181537i 0.0517958 0.0115980i
\(246\) −19.9449 13.2149i −1.27164 0.842552i
\(247\) 16.6146 + 2.60471i 1.05716 + 0.165734i
\(248\) 21.5046 12.4157i 1.36554 0.788397i
\(249\) −1.38294 6.81403i −0.0876405 0.431821i
\(250\) 0.690598 + 1.19615i 0.0436772 + 0.0756512i
\(251\) −11.4167 19.7743i −0.720616 1.24814i −0.960753 0.277405i \(-0.910526\pi\)
0.240137 0.970739i \(-0.422808\pi\)
\(252\) 4.08205 3.04887i 0.257145 0.192061i
\(253\) −3.26782 + 12.1957i −0.205446 + 0.766735i
\(254\) −17.2205 17.2205i −1.08051 1.08051i
\(255\) 0.205164 0.181340i 0.0128479 0.0113559i
\(256\) 6.82451 11.8204i 0.426532 0.738774i
\(257\) −10.2026 17.6713i −0.636418 1.10231i −0.986213 0.165482i \(-0.947082\pi\)
0.349795 0.936826i \(-0.386251\pi\)
\(258\) −0.534098 + 1.59372i −0.0332515 + 0.0992208i
\(259\) −2.52601 4.59277i −0.156958 0.285381i
\(260\) 0.0988442 + 0.256292i 0.00613006 + 0.0158945i
\(261\) 2.03193 16.4192i 0.125774 1.01632i
\(262\) −1.00078 1.00078i −0.0618283 0.0618283i
\(263\) 22.6881i 1.39901i −0.714627 0.699505i \(-0.753404\pi\)
0.714627 0.699505i \(-0.246596\pi\)
\(264\) −14.5109 9.61451i −0.893083 0.591732i
\(265\) 0.550283 + 0.550283i 0.0338036 + 0.0338036i
\(266\) −4.00975 + 13.8112i −0.245854 + 0.846822i
\(267\) −7.19201 8.13691i −0.440144 0.497971i
\(268\) 0.151933 + 0.567021i 0.00928077 + 0.0346363i
\(269\) −10.1236 5.84487i −0.617247 0.356368i 0.158549 0.987351i \(-0.449318\pi\)
−0.775796 + 0.630983i \(0.782652\pi\)
\(270\) −0.131985 + 0.706480i −0.00803234 + 0.0429950i
\(271\) 6.79370 + 1.82037i 0.412688 + 0.110579i 0.459188 0.888339i \(-0.348140\pi\)
−0.0465006 + 0.998918i \(0.514807\pi\)
\(272\) −3.06909 −0.186091
\(273\) 11.3999 11.9600i 0.689955 0.723852i
\(274\) 4.11547 0.248624
\(275\) 15.7206 + 4.21233i 0.947990 + 0.254013i
\(276\) 3.58494 + 2.37528i 0.215788 + 0.142975i
\(277\) 14.6015 + 8.43017i 0.877318 + 0.506520i 0.869773 0.493452i \(-0.164265\pi\)
0.00754477 + 0.999972i \(0.497598\pi\)
\(278\) −0.897130 3.34814i −0.0538063 0.200808i
\(279\) −23.9635 + 3.34453i −1.43466 + 0.200232i
\(280\) −0.938844 + 0.230787i −0.0561066 + 0.0137922i
\(281\) −9.67405 9.67405i −0.577106 0.577106i 0.356999 0.934105i \(-0.383800\pi\)
−0.934105 + 0.356999i \(0.883800\pi\)
\(282\) −7.96946 + 12.0281i −0.474575 + 0.716261i
\(283\) 15.6454i 0.930024i −0.885304 0.465012i \(-0.846050\pi\)
0.885304 0.465012i \(-0.153950\pi\)
\(284\) −7.47361 7.47361i −0.443477 0.443477i
\(285\) 0.427431 + 0.858320i 0.0253188 + 0.0508425i
\(286\) −12.5387 5.55896i −0.741428 0.328708i
\(287\) −16.2407 + 26.8278i −0.958658 + 1.58360i
\(288\) −8.21504 + 6.40568i −0.484076 + 0.377458i
\(289\) 7.61291 + 13.1859i 0.447818 + 0.775644i
\(290\) −0.381390 + 0.660586i −0.0223960 + 0.0387909i
\(291\) 15.2457 + 17.2487i 0.893719 + 1.01114i
\(292\) 5.92772 + 5.92772i 0.346894 + 0.346894i
\(293\) 0.789630 2.94694i 0.0461307 0.172162i −0.939017 0.343870i \(-0.888262\pi\)
0.985148 + 0.171708i \(0.0549286\pi\)
\(294\) 8.90991 + 10.9660i 0.519637 + 0.639550i
\(295\) −0.274914 0.476166i −0.0160061 0.0277234i
\(296\) 3.04976 + 5.28234i 0.177264 + 0.307030i
\(297\) 9.58706 + 13.9921i 0.556298 + 0.811906i
\(298\) −22.6133 + 13.0558i −1.30995 + 0.756301i
\(299\) 12.7493 + 5.65232i 0.737309 + 0.326882i
\(300\) 3.06182 4.62111i 0.176774 0.266800i
\(301\) 2.11581 + 0.614272i 0.121953 + 0.0354061i
\(302\) −4.86603 2.80940i −0.280008 0.161663i
\(303\) −1.75240 + 2.64484i −0.100673 + 0.151942i
\(304\) 2.78162 10.3811i 0.159537 0.595399i
\(305\) −0.253899 0.947563i −0.0145382 0.0542573i
\(306\) 4.31602 + 1.74858i 0.246731 + 0.0999597i
\(307\) −3.89152 + 3.89152i −0.222101 + 0.222101i −0.809383 0.587282i \(-0.800198\pi\)
0.587282 + 0.809383i \(0.300198\pi\)
\(308\) −2.87092 + 4.74245i −0.163586 + 0.270226i
\(309\) −1.21861 + 0.606852i −0.0693244 + 0.0345226i
\(310\) 1.07753 + 0.288723i 0.0611996 + 0.0163984i
\(311\) −4.57389 7.92221i −0.259361 0.449227i 0.706710 0.707504i \(-0.250179\pi\)
−0.966071 + 0.258277i \(0.916845\pi\)
\(312\) −12.9741 + 14.1900i −0.734515 + 0.803348i
\(313\) −1.50770 + 2.61141i −0.0852202 + 0.147606i −0.905485 0.424378i \(-0.860493\pi\)
0.820265 + 0.571984i \(0.193826\pi\)
\(314\) −4.47719 16.7091i −0.252663 0.942950i
\(315\) 0.932313 + 0.135080i 0.0525299 + 0.00761088i
\(316\) −1.69906 + 0.980950i −0.0955793 + 0.0551827i
\(317\) −4.72873 17.6479i −0.265592 0.991203i −0.961887 0.273447i \(-0.911836\pi\)
0.696295 0.717756i \(-0.254831\pi\)
\(318\) −4.20552 + 12.5491i −0.235834 + 0.703717i
\(319\) 4.65918 + 17.3883i 0.260864 + 0.973557i
\(320\) 0.992227 0.265867i 0.0554672 0.0148624i
\(321\) 0.353600 5.73638i 0.0197360 0.320174i
\(322\) −6.17608 + 10.2022i −0.344179 + 0.568546i
\(323\) 6.00115 1.60800i 0.333913 0.0894718i
\(324\) 5.55639 1.58180i 0.308688 0.0878776i
\(325\) 7.28604 16.4343i 0.404157 0.911609i
\(326\) 10.2404 5.91230i 0.567164 0.327452i
\(327\) 7.33081 + 8.29394i 0.405395 + 0.458656i
\(328\) 18.2469 31.6045i 1.00752 1.74507i
\(329\) 16.1789 + 9.79420i 0.891974 + 0.539972i
\(330\) −0.155541 0.766381i −0.00856225 0.0421879i
\(331\) −12.5218 12.5218i −0.688261 0.688261i 0.273586 0.961847i \(-0.411790\pi\)
−0.961847 + 0.273586i \(0.911790\pi\)
\(332\) 2.48899 0.666924i 0.136601 0.0366022i
\(333\) −0.821543 5.88635i −0.0450203 0.322570i
\(334\) 17.4294 0.953694
\(335\) −0.0542695 + 0.0939976i −0.00296506 + 0.00513564i
\(336\) −6.82705 8.05493i −0.372446 0.439433i
\(337\) 16.0763i 0.875731i 0.899040 + 0.437866i \(0.144265\pi\)
−0.899040 + 0.437866i \(0.855735\pi\)
\(338\) −8.21117 + 12.7316i −0.446629 + 0.692509i
\(339\) −0.552015 + 8.95523i −0.0299814 + 0.486381i
\(340\) 0.0717561 + 0.0717561i 0.00389152 + 0.00389152i
\(341\) 22.7998 13.1635i 1.23468 0.712841i
\(342\) −9.82630 + 13.0141i −0.531346 + 0.703721i
\(343\) 13.8854 12.2554i 0.749742 0.661730i
\(344\) −2.47643 0.663557i −0.133520 0.0357766i
\(345\) 0.158153 + 0.779252i 0.00851469 + 0.0419535i
\(346\) 4.21739 + 1.13005i 0.226728 + 0.0607517i
\(347\) 10.8180 + 6.24575i 0.580739 + 0.335290i 0.761427 0.648251i \(-0.224499\pi\)
−0.180688 + 0.983540i \(0.557833\pi\)
\(348\) 6.11984 + 0.377237i 0.328058 + 0.0202220i
\(349\) −0.735686 2.74562i −0.0393804 0.146970i 0.943436 0.331554i \(-0.107573\pi\)
−0.982817 + 0.184584i \(0.940906\pi\)
\(350\) 13.1510 + 7.96118i 0.702950 + 0.425543i
\(351\) 16.9088 8.06802i 0.902524 0.430639i
\(352\) 5.66741 9.81624i 0.302074 0.523207i
\(353\) −22.5514 + 22.5514i −1.20029 + 1.20029i −0.226209 + 0.974079i \(0.572633\pi\)
−0.974079 + 0.226209i \(0.927367\pi\)
\(354\) 5.16479 7.79506i 0.274506 0.414303i
\(355\) 1.95423i 0.103720i
\(356\) 2.84588 2.84588i 0.150831 0.150831i
\(357\) 2.05928 5.74607i 0.108989 0.304114i
\(358\) 14.5642 + 3.90246i 0.769741 + 0.206251i
\(359\) −3.21221 + 0.860709i −0.169534 + 0.0454265i −0.342587 0.939486i \(-0.611303\pi\)
0.173054 + 0.984912i \(0.444637\pi\)
\(360\) −1.08794 0.134637i −0.0573396 0.00709598i
\(361\) 2.75619i 0.145063i
\(362\) 6.84185 25.5342i 0.359600 1.34205i
\(363\) 0.497790 + 0.329822i 0.0261272 + 0.0173111i
\(364\) 4.68397 + 3.94416i 0.245507 + 0.206730i
\(365\) 1.55001i 0.0811311i
\(366\) 12.5005 11.0489i 0.653410 0.577533i
\(367\) 28.2698 1.47567 0.737835 0.674981i \(-0.235848\pi\)
0.737835 + 0.674981i \(0.235848\pi\)
\(368\) 4.45615 7.71827i 0.232293 0.402343i
\(369\) −28.0423 + 21.8660i −1.45982 + 1.13830i
\(370\) −0.0709214 + 0.264682i −0.00368703 + 0.0137602i
\(371\) 16.6600 + 4.83682i 0.864945 + 0.251115i
\(372\) −1.78355 8.78791i −0.0924729 0.455632i
\(373\) −14.2933 −0.740078 −0.370039 0.929016i \(-0.620656\pi\)
−0.370039 + 0.929016i \(0.620656\pi\)
\(374\) −5.06694 −0.262005
\(375\) 2.01180 0.408307i 0.103889 0.0210849i
\(376\) −19.0596 11.0041i −0.982924 0.567492i
\(377\) 19.7717 2.10955i 1.01830 0.108647i
\(378\) 5.01159 + 15.2172i 0.257769 + 0.782689i
\(379\) −27.4472 + 7.35447i −1.40987 + 0.377774i −0.881879 0.471476i \(-0.843721\pi\)
−0.527991 + 0.849250i \(0.677055\pi\)
\(380\) −0.307749 + 0.177679i −0.0157872 + 0.00911473i
\(381\) −32.4005 + 16.1350i −1.65993 + 0.826620i
\(382\) 5.65892 21.1194i 0.289535 1.08056i
\(383\) 11.9584 11.9584i 0.611047 0.611047i −0.332172 0.943219i \(-0.607782\pi\)
0.943219 + 0.332172i \(0.107782\pi\)
\(384\) 3.60341 + 4.07683i 0.183886 + 0.208045i
\(385\) −0.995389 + 0.244687i −0.0507297 + 0.0124704i
\(386\) 5.18717 2.99481i 0.264020 0.152432i
\(387\) 1.99369 + 1.50534i 0.101345 + 0.0765206i
\(388\) −6.03272 + 6.03272i −0.306265 + 0.306265i
\(389\) 15.1955 + 26.3194i 0.770443 + 1.33445i 0.937320 + 0.348469i \(0.113298\pi\)
−0.166877 + 0.985978i \(0.553368\pi\)
\(390\) −0.862909 + 0.0386232i −0.0436951 + 0.00195576i
\(391\) 5.15204 0.260550
\(392\) −15.8587 + 14.5937i −0.800984 + 0.737093i
\(393\) −1.88297 + 0.937692i −0.0949833 + 0.0473003i
\(394\) 10.4455i 0.526237i
\(395\) −0.350390 0.0938867i −0.0176300 0.00472395i
\(396\) −4.95713 + 3.86532i −0.249105 + 0.194240i
\(397\) 3.25530 3.25530i 0.163379 0.163379i −0.620683 0.784062i \(-0.713145\pi\)
0.784062 + 0.620683i \(0.213145\pi\)
\(398\) 1.72722 + 1.72722i 0.0865779 + 0.0865779i
\(399\) 17.5696 + 12.1733i 0.879579 + 0.609429i
\(400\) −9.94912 5.74413i −0.497456 0.287206i
\(401\) −6.27196 + 23.4073i −0.313207 + 1.16890i 0.612441 + 0.790516i \(0.290188\pi\)
−0.925648 + 0.378387i \(0.876479\pi\)
\(402\) −1.84241 0.113569i −0.0918909 0.00566430i
\(403\) −10.4639 27.1318i −0.521246 1.35153i
\(404\) −1.01829 0.587910i −0.0506618 0.0292496i
\(405\) 0.933262 + 0.519647i 0.0463742 + 0.0258215i
\(406\) −0.352937 + 17.0001i −0.0175160 + 0.843701i
\(407\) 3.23344 + 5.60049i 0.160276 + 0.277606i
\(408\) −2.25703 + 6.73488i −0.111740 + 0.333426i
\(409\) −6.37017 + 1.70688i −0.314985 + 0.0843998i −0.412848 0.910800i \(-0.635466\pi\)
0.0978633 + 0.995200i \(0.468799\pi\)
\(410\) 1.58361 0.424327i 0.0782088 0.0209560i
\(411\) 1.94362 5.79965i 0.0958715 0.286076i
\(412\) −0.252262 0.436931i −0.0124281 0.0215260i
\(413\) −10.4851 6.34736i −0.515940 0.312333i
\(414\) −10.6640 + 8.31528i −0.524109 + 0.408674i
\(415\) 0.412612 + 0.238222i 0.0202543 + 0.0116938i
\(416\) −9.74226 7.86378i −0.477654 0.385553i
\(417\) −5.14199 0.316961i −0.251804 0.0155216i
\(418\) 4.59234 17.1389i 0.224619 0.838289i
\(419\) −1.07619 0.621336i −0.0525751 0.0303543i 0.473482 0.880803i \(-0.342997\pi\)
−0.526057 + 0.850449i \(0.676330\pi\)
\(420\) −0.0287083 + 0.347945i −0.00140082 + 0.0169780i
\(421\) −6.97530 6.97530i −0.339955 0.339955i 0.516395 0.856350i \(-0.327274\pi\)
−0.856350 + 0.516395i \(0.827274\pi\)
\(422\) 12.2052 12.2052i 0.594141 0.594141i
\(423\) 13.1866 + 16.9113i 0.641155 + 0.822258i
\(424\) −19.4996 5.22489i −0.946982 0.253743i
\(425\) 6.64117i 0.322144i
\(426\) 29.7505 14.8153i 1.44141 0.717804i
\(427\) −15.1388 15.7807i −0.732617 0.763681i
\(428\) 2.12997 0.102956
\(429\) −13.7555 + 15.0446i −0.664123 + 0.726360i
\(430\) −0.0575887 0.0997465i −0.00277717 0.00481021i
\(431\) 2.92362 2.92362i 0.140826 0.140826i −0.633179 0.774005i \(-0.718250\pi\)
0.774005 + 0.633179i \(0.218250\pi\)
\(432\) −3.98040 11.2917i −0.191507 0.543270i
\(433\) 10.6193 6.13106i 0.510331 0.294640i −0.222639 0.974901i \(-0.571467\pi\)
0.732970 + 0.680261i \(0.238134\pi\)
\(434\) 24.1486 5.93622i 1.15917 0.284948i
\(435\) 0.750801 + 0.849442i 0.0359981 + 0.0407276i
\(436\) −2.90080 + 2.90080i −0.138923 + 0.138923i
\(437\) −4.66947 + 17.4267i −0.223371 + 0.833632i
\(438\) −23.5967 + 11.7508i −1.12749 + 0.561476i
\(439\) 4.83364 2.79070i 0.230697 0.133193i −0.380197 0.924906i \(-0.624144\pi\)
0.610894 + 0.791713i \(0.290810\pi\)
\(440\) 1.15215 0.308719i 0.0549268 0.0147176i
\(441\) 19.6615 7.37723i 0.936264 0.351296i
\(442\) −0.866826 + 5.52922i −0.0412307 + 0.262998i
\(443\) −32.1849 18.5820i −1.52915 0.882857i −0.999398 0.0347058i \(-0.988951\pi\)
−0.529755 0.848151i \(-0.677716\pi\)
\(444\) 2.15864 0.438108i 0.102445 0.0207917i
\(445\) 0.744153 0.0352762
\(446\) 10.9339 0.517733
\(447\) 7.71905 + 38.0332i 0.365099 + 1.79891i
\(448\) 16.5245 15.8524i 0.780711 0.748954i
\(449\) −7.14560 + 26.6677i −0.337222 + 1.25853i 0.564219 + 0.825625i \(0.309177\pi\)
−0.901441 + 0.432903i \(0.857489\pi\)
\(450\) 10.7187 + 13.7463i 0.505284 + 0.648008i
\(451\) 19.3459 33.5080i 0.910961 1.57783i
\(452\) −3.32515 −0.156402
\(453\) −6.25719 + 5.53057i −0.293988 + 0.259849i
\(454\) 15.4495i 0.725080i
\(455\) 0.0967251 + 1.12806i 0.00453454 + 0.0528843i
\(456\) −20.7350 13.7384i −0.971005 0.643361i
\(457\) 8.46326 31.5853i 0.395895 1.47750i −0.424357 0.905495i \(-0.639500\pi\)
0.820251 0.572004i \(-0.193834\pi\)
\(458\) 29.5396i 1.38029i
\(459\) 4.50249 5.25648i 0.210158 0.245352i
\(460\) −0.284641 + 0.0762694i −0.0132715 + 0.00355608i
\(461\) −2.63969 0.707304i −0.122943 0.0329424i 0.196823 0.980439i \(-0.436938\pi\)
−0.319766 + 0.947497i \(0.603604\pi\)
\(462\) −11.2712 13.2984i −0.524384 0.618697i
\(463\) 14.5583 14.5583i 0.676583 0.676583i −0.282643 0.959225i \(-0.591211\pi\)
0.959225 + 0.282643i \(0.0912110\pi\)
\(464\) 12.7069i 0.589905i
\(465\) 0.915765 1.38214i 0.0424676 0.0640950i
\(466\) 16.2313 16.2313i 0.751901 0.751901i
\(467\) 10.2393 17.7351i 0.473820 0.820681i −0.525730 0.850651i \(-0.676208\pi\)
0.999551 + 0.0299703i \(0.00954126\pi\)
\(468\) 3.36993 + 6.07064i 0.155775 + 0.280616i
\(469\) −0.0502209 + 2.41902i −0.00231898 + 0.111700i
\(470\) −0.255897 0.955020i −0.0118036 0.0440518i
\(471\) −25.6615 1.58182i −1.18242 0.0728863i
\(472\) 12.3520 + 7.13144i 0.568548 + 0.328251i
\(473\) −2.62558 0.703522i −0.120724 0.0323480i
\(474\) −1.22706 6.04596i −0.0563607 0.277700i
\(475\) 22.4636 + 6.01911i 1.03070 + 0.276176i
\(476\) 2.17244 + 0.630714i 0.0995736 + 0.0289087i
\(477\) 15.6984 + 11.8531i 0.718781 + 0.542717i
\(478\) 11.8400 6.83585i 0.541551 0.312664i
\(479\) 4.78966 + 4.78966i 0.218845 + 0.218845i 0.808012 0.589166i \(-0.200544\pi\)
−0.589166 + 0.808012i \(0.700544\pi\)
\(480\) 0.0439184 0.712480i 0.00200459 0.0325201i
\(481\) 6.66460 2.57034i 0.303880 0.117197i
\(482\) 2.19269i 0.0998741i
\(483\) 11.4605 + 13.5217i 0.521471 + 0.615260i
\(484\) −0.110652 + 0.191654i −0.00502962 + 0.00871155i
\(485\) −1.57746 −0.0716289
\(486\) −0.835710 + 18.1471i −0.0379086 + 0.823171i
\(487\) −18.3864 + 4.92662i −0.833167 + 0.223246i −0.650095 0.759853i \(-0.725271\pi\)
−0.183072 + 0.983100i \(0.558604\pi\)
\(488\) 17.9940 + 17.9940i 0.814552 + 0.814552i
\(489\) −3.49557 17.2233i −0.158075 0.778866i
\(490\) −0.967367 0.0401841i −0.0437012 0.00181533i
\(491\) 14.4273 24.9889i 0.651096 1.12773i −0.331761 0.943363i \(-0.607643\pi\)
0.982857 0.184368i \(-0.0590239\pi\)
\(492\) −8.72769 9.87435i −0.393474 0.445170i
\(493\) 6.36153 3.67283i 0.286509 0.165416i
\(494\) −17.9169 7.94334i −0.806117 0.357388i
\(495\) −1.15347 0.142746i −0.0518445 0.00641594i
\(496\) −17.9503 + 4.80977i −0.805992 + 0.215965i
\(497\) −20.9940 38.1711i −0.941709 1.71221i
\(498\) −0.498522 + 8.08743i −0.0223393 + 0.362406i
\(499\) −14.8210 + 3.97128i −0.663479 + 0.177779i −0.574816 0.818283i \(-0.694926\pi\)
−0.0886635 + 0.996062i \(0.528260\pi\)
\(500\) 0.196906 + 0.734862i 0.00880589 + 0.0328640i
\(501\) 8.23139 24.5621i 0.367752 1.09735i
\(502\) 6.88703 + 25.7027i 0.307383 + 1.14717i
\(503\) −23.0341 + 13.2987i −1.02704 + 0.592962i −0.916135 0.400869i \(-0.868708\pi\)
−0.110904 + 0.993831i \(0.535375\pi\)
\(504\) −22.6966 + 9.05778i −1.01099 + 0.403465i
\(505\) −0.0562688 0.209998i −0.00250393 0.00934480i
\(506\) 7.35693 12.7426i 0.327055 0.566476i
\(507\) 14.0639 + 17.5842i 0.624602 + 0.780943i
\(508\) −6.70715 11.6171i −0.297582 0.515426i
\(509\) 9.94079 + 2.66363i 0.440618 + 0.118063i 0.472306 0.881435i \(-0.343422\pi\)
−0.0316882 + 0.999498i \(0.510088\pi\)
\(510\) −0.285642 + 0.142246i −0.0126484 + 0.00629874i
\(511\) 16.6515 + 30.2755i 0.736617 + 1.33931i
\(512\) −15.6900 + 15.6900i −0.693406 + 0.693406i
\(513\) 13.6992 + 19.9937i 0.604835 + 0.882745i
\(514\) 6.15460 + 22.9693i 0.271468 + 1.01313i
\(515\) 0.0241440 0.0901067i 0.00106391 0.00397057i
\(516\) −0.511369 + 0.771794i −0.0225118 + 0.0339763i
\(517\) −20.2075 11.6668i −0.888727 0.513107i
\(518\) 1.45816 + 5.93181i 0.0640679 + 0.260629i
\(519\) 3.58425 5.40960i 0.157331 0.237455i
\(520\) −0.139780 1.31008i −0.00612974 0.0574509i
\(521\) 36.0202 20.7963i 1.57807 0.911100i 0.582944 0.812513i \(-0.301901\pi\)
0.995128 0.0985877i \(-0.0314325\pi\)
\(522\) −7.23965 + 17.8696i −0.316871 + 0.782132i
\(523\) 2.00941 + 3.48040i 0.0878654 + 0.152187i 0.906609 0.421973i \(-0.138662\pi\)
−0.818743 + 0.574160i \(0.805329\pi\)
\(524\) −0.389789 0.675135i −0.0170280 0.0294934i
\(525\) 17.4300 14.7730i 0.760707 0.644746i
\(526\) −6.84321 + 25.5392i −0.298378 + 1.11356i
\(527\) −7.59631 7.59631i −0.330901 0.330901i
\(528\) 8.62744 + 9.76093i 0.375461 + 0.424790i
\(529\) 4.01951 6.96200i 0.174761 0.302696i
\(530\) −0.453457 0.785411i −0.0196969 0.0341161i
\(531\) −8.54589 10.9598i −0.370860 0.475614i
\(532\) −4.10234 + 6.77661i −0.177859 + 0.293803i
\(533\) −33.2555 26.8432i −1.44045 1.16271i
\(534\) 5.64152 + 11.3287i 0.244133 + 0.490240i
\(535\) 0.278477 + 0.278477i 0.0120396 + 0.0120396i
\(536\) 2.81557i 0.121614i
\(537\) 12.3777 18.6813i 0.534138 0.806158i
\(538\) 9.63284 + 9.63284i 0.415301 + 0.415301i
\(539\) −16.8138 + 15.4726i −0.724222 + 0.666454i
\(540\) −0.170939 + 0.357065i −0.00735605 + 0.0153656i
\(541\) 8.19490 + 30.5838i 0.352326 + 1.31490i 0.883816 + 0.467835i \(0.154966\pi\)
−0.531490 + 0.847065i \(0.678368\pi\)
\(542\) −7.09836 4.09824i −0.304901 0.176034i
\(543\) −32.7524 21.7008i −1.40554 0.931271i
\(544\) −4.46762 1.19710i −0.191548 0.0513250i
\(545\) −0.758514 −0.0324912
\(546\) −16.4399 + 10.0245i −0.703561 + 0.429009i
\(547\) −27.6716 −1.18315 −0.591576 0.806249i \(-0.701494\pi\)
−0.591576 + 0.806249i \(0.701494\pi\)
\(548\) 2.18963 + 0.586708i 0.0935362 + 0.0250629i
\(549\) −9.66681 22.8341i −0.412569 0.974537i
\(550\) −16.4256 9.48334i −0.700391 0.404371i
\(551\) 6.65762 + 24.8466i 0.283624 + 1.05850i
\(552\) −13.6601 15.4548i −0.581411 0.657798i
\(553\) −7.85260 + 1.93033i −0.333927 + 0.0820861i
\(554\) −13.8936 13.8936i −0.590284 0.590284i
\(555\) 0.339505 + 0.224947i 0.0144112 + 0.00954845i
\(556\) 1.90926i 0.0809708i
\(557\) 23.9731 + 23.9731i 1.01577 + 1.01577i 0.999874 + 0.0159007i \(0.00506158\pi\)
0.0159007 + 0.999874i \(0.494938\pi\)
\(558\) 27.9836 + 3.46307i 1.18464 + 0.146604i
\(559\) −1.21688 + 2.74477i −0.0514684 + 0.116091i
\(560\) 0.723382 + 0.0150180i 0.0305685 + 0.000634628i
\(561\) −2.39297 + 7.14051i −0.101031 + 0.301472i
\(562\) 7.97183 + 13.8076i 0.336272 + 0.582439i
\(563\) −9.44313 + 16.3560i −0.397981 + 0.689323i −0.993477 0.114036i \(-0.963622\pi\)
0.595496 + 0.803358i \(0.296956\pi\)
\(564\) −5.95488 + 5.26337i −0.250746 + 0.221628i
\(565\) −0.434738 0.434738i −0.0182896 0.0182896i
\(566\) −4.71898 + 17.6115i −0.198354 + 0.740266i
\(567\) 23.8114 + 0.124143i 0.999986 + 0.00521351i
\(568\) 25.3470 + 43.9022i 1.06354 + 1.84210i
\(569\) 23.4994 + 40.7021i 0.985145 + 1.70632i 0.641291 + 0.767298i \(0.278399\pi\)
0.343854 + 0.939023i \(0.388267\pi\)
\(570\) −0.222257 1.09510i −0.00930931 0.0458687i
\(571\) −10.6404 + 6.14326i −0.445289 + 0.257088i −0.705838 0.708373i \(-0.749430\pi\)
0.260550 + 0.965460i \(0.416096\pi\)
\(572\) −5.87868 4.74517i −0.245800 0.198405i
\(573\) −27.0896 17.9488i −1.13168 0.749822i
\(574\) 26.3734 25.3006i 1.10080 1.05603i
\(575\) 16.7015 + 9.64261i 0.696500 + 0.402125i
\(576\) 23.9105 10.1225i 0.996269 0.421769i
\(577\) −5.92342 + 22.1065i −0.246595 + 0.920306i 0.725980 + 0.687716i \(0.241387\pi\)
−0.972575 + 0.232590i \(0.925280\pi\)
\(578\) −4.59242 17.1391i −0.191019 0.712894i
\(579\) −1.77064 8.72429i −0.0735853 0.362569i
\(580\) −0.297092 + 0.297092i −0.0123361 + 0.0123361i
\(581\) 10.6185 + 0.220450i 0.440530 + 0.00914579i
\(582\) −11.9590 24.0147i −0.495715 0.995440i
\(583\) −20.6740 5.53958i −0.856229 0.229426i
\(584\) −20.1040 34.8212i −0.831911 1.44091i
\(585\) −0.353098 + 1.23428i −0.0145988 + 0.0510312i
\(586\) −1.77772 + 3.07909i −0.0734368 + 0.127196i
\(587\) −6.82127 25.4573i −0.281544 1.05074i −0.951328 0.308180i \(-0.900280\pi\)
0.669784 0.742556i \(-0.266387\pi\)
\(588\) 3.17717 + 7.10465i 0.131024 + 0.292991i
\(589\) 32.5792 18.8096i 1.34240 0.775036i
\(590\) 0.165840 + 0.618922i 0.00682751 + 0.0254806i
\(591\) 14.7201 + 4.93310i 0.605506 + 0.202921i
\(592\) −1.18146 4.40927i −0.0485577 0.181220i
\(593\) 16.9778 4.54920i 0.697196 0.186813i 0.107222 0.994235i \(-0.465805\pi\)
0.589974 + 0.807422i \(0.299138\pi\)
\(594\) −6.57149 18.6421i −0.269631 0.764894i
\(595\) 0.201569 + 0.366491i 0.00826351 + 0.0150247i
\(596\) −13.8926 + 3.72251i −0.569063 + 0.152480i
\(597\) 3.24978 1.61834i 0.133005 0.0662344i
\(598\) −12.6465 10.2081i −0.517155 0.417438i
\(599\) −28.5434 + 16.4796i −1.16625 + 0.673336i −0.952795 0.303616i \(-0.901806\pi\)
−0.213458 + 0.976952i \(0.568473\pi\)
\(600\) −19.9217 + 17.6083i −0.813301 + 0.718857i
\(601\) −1.58538 + 2.74596i −0.0646690 + 0.112010i −0.896547 0.442948i \(-0.853932\pi\)
0.831878 + 0.554958i \(0.187266\pi\)
\(602\) −2.19641 1.32964i −0.0895190 0.0541919i
\(603\) −1.03016 + 2.54275i −0.0419514 + 0.103549i
\(604\) −2.18845 2.18845i −0.0890466 0.0890466i
\(605\) −0.0395241 + 0.0105905i −0.00160688 + 0.000430563i
\(606\) 2.77035 2.44864i 0.112538 0.0994692i
\(607\) −23.8678 −0.968765 −0.484383 0.874856i \(-0.660956\pi\)
−0.484383 + 0.874856i \(0.660956\pi\)
\(608\) 8.09831 14.0267i 0.328430 0.568857i
\(609\) 23.7904 + 8.52603i 0.964037 + 0.345492i
\(610\) 1.14322i 0.0462875i
\(611\) −16.1882 + 20.0552i −0.654906 + 0.811348i
\(612\) 2.04705 + 1.54563i 0.0827471 + 0.0624783i
\(613\) 22.8413 + 22.8413i 0.922551 + 0.922551i 0.997209 0.0746582i \(-0.0237866\pi\)
−0.0746582 + 0.997209i \(0.523787\pi\)
\(614\) 5.55430 3.20678i 0.224153 0.129415i
\(615\) 0.149917 2.43207i 0.00604523 0.0980706i
\(616\) 19.1879 18.4074i 0.773104 0.741656i
\(617\) −23.1100 6.19232i −0.930375 0.249293i −0.238360 0.971177i \(-0.576610\pi\)
−0.692015 + 0.721884i \(0.743277\pi\)
\(618\) 1.55479 0.315552i 0.0625427 0.0126934i
\(619\) −33.1629 8.88598i −1.33293 0.357158i −0.479124 0.877747i \(-0.659045\pi\)
−0.853807 + 0.520590i \(0.825712\pi\)
\(620\) 0.532137 + 0.307229i 0.0213711 + 0.0123386i
\(621\) 6.68186 + 18.9552i 0.268134 + 0.760645i
\(622\) 2.75916 + 10.2973i 0.110632 + 0.412885i
\(623\) 14.5352 7.99430i 0.582339 0.320285i
\(624\) 12.1274 7.74470i 0.485484 0.310036i
\(625\) 12.3944 21.4678i 0.495778 0.858713i
\(626\) 2.48482 2.48482i 0.0993133 0.0993133i
\(627\) −21.9838 14.5659i −0.877949 0.581704i
\(628\) 9.52832i 0.380222i
\(629\) 1.86594 1.86594i 0.0744000 0.0744000i
\(630\) −1.00873 0.433259i −0.0401887 0.0172615i
\(631\) −34.3118 9.19383i −1.36593 0.366000i −0.499941 0.866060i \(-0.666645\pi\)
−0.865991 + 0.500059i \(0.833312\pi\)
\(632\) 9.08931 2.43547i 0.361554 0.0968780i
\(633\) −11.4358 22.9642i −0.454534 0.912745i
\(634\) 21.2918i 0.845607i
\(635\) 0.641941 2.39576i 0.0254746 0.0950726i
\(636\) −4.02655 + 6.07716i −0.159663 + 0.240975i
\(637\) 14.0078 + 20.9948i 0.555011 + 0.831843i
\(638\) 20.9787i 0.830553i
\(639\) −6.82795 48.9222i −0.270110 1.93533i
\(640\) −0.372843 −0.0147379
\(641\) −13.5765 + 23.5152i −0.536240 + 0.928795i 0.462862 + 0.886430i \(0.346822\pi\)
−0.999102 + 0.0423647i \(0.986511\pi\)
\(642\) −2.12825 + 6.35058i −0.0839952 + 0.250638i
\(643\) −5.47562 + 20.4353i −0.215937 + 0.805890i 0.769897 + 0.638168i \(0.220308\pi\)
−0.985834 + 0.167721i \(0.946359\pi\)
\(644\) −4.74041 + 4.54759i −0.186798 + 0.179200i
\(645\) −0.167764 + 0.0340485i −0.00660569 + 0.00134066i
\(646\) −7.24029 −0.284865
\(647\) 18.9139 0.743581 0.371791 0.928317i \(-0.378744\pi\)
0.371791 + 0.928317i \(0.378744\pi\)
\(648\) −27.7059 + 0.430705i −1.08839 + 0.0169197i
\(649\) 13.0960 + 7.56095i 0.514061 + 0.296793i
\(650\) −13.1585 + 16.3018i −0.516121 + 0.639410i
\(651\) 3.03914 36.8345i 0.119113 1.44366i
\(652\) 6.29126 1.68574i 0.246385 0.0660186i
\(653\) −31.3091 + 18.0763i −1.22522 + 0.707382i −0.966026 0.258443i \(-0.916790\pi\)
−0.259195 + 0.965825i \(0.583457\pi\)
\(654\) −5.75040 11.5473i −0.224858 0.451536i
\(655\) 0.0373067 0.139231i 0.00145769 0.00544019i
\(656\) −19.3122 + 19.3122i −0.754013 + 0.754013i
\(657\) 5.41562 + 38.8028i 0.211283 + 1.51384i
\(658\) −15.2579 15.9049i −0.594815 0.620037i
\(659\) 6.27163 3.62092i 0.244308 0.141051i −0.372847 0.927893i \(-0.621618\pi\)
0.617155 + 0.786842i \(0.288285\pi\)
\(660\) 0.0265013 0.429925i 0.00103156 0.0167348i
\(661\) 8.17683 8.17683i 0.318042 0.318042i −0.529973 0.848015i \(-0.677798\pi\)
0.848015 + 0.529973i \(0.177798\pi\)
\(662\) 10.3185 + 17.8722i 0.401040 + 0.694622i
\(663\) 7.38258 + 3.83285i 0.286716 + 0.148856i
\(664\) −12.3592 −0.479630
\(665\) −1.42234 + 0.349640i −0.0551559 + 0.0135585i
\(666\) −0.850662 + 6.87384i −0.0329625 + 0.266356i
\(667\) 21.3310i 0.825940i
\(668\) 9.27327 + 2.48477i 0.358794 + 0.0961385i
\(669\) 5.16375 15.4084i 0.199642 0.595722i
\(670\) 0.0894408 0.0894408i 0.00345540 0.00345540i
\(671\) 19.0778 + 19.0778i 0.736490 + 0.736490i
\(672\) −6.79621 14.3883i −0.262169 0.555042i
\(673\) 9.54722 + 5.51209i 0.368018 + 0.212475i 0.672592 0.740013i \(-0.265181\pi\)
−0.304574 + 0.952489i \(0.598514\pi\)
\(674\) 4.84894 18.0965i 0.186774 0.697051i
\(675\) 24.4339 8.61315i 0.940461 0.331520i
\(676\) −6.18378 + 5.60324i −0.237838 + 0.215509i
\(677\) −14.2644 8.23553i −0.548224 0.316517i 0.200181 0.979759i \(-0.435847\pi\)
−0.748405 + 0.663242i \(0.769180\pi\)
\(678\) 3.32247 9.91408i 0.127599 0.380748i
\(679\) −30.8118 + 16.9464i −1.18245 + 0.650343i
\(680\) −0.243363 0.421517i −0.00933254 0.0161644i
\(681\) −21.7719 7.29634i −0.834302 0.279596i
\(682\) −29.6352 + 7.94074i −1.13479 + 0.304067i
\(683\) 4.91184 1.31612i 0.187946 0.0503601i −0.163618 0.986524i \(-0.552316\pi\)
0.351564 + 0.936164i \(0.385650\pi\)
\(684\) −7.08337 + 5.52326i −0.270840 + 0.211187i
\(685\) 0.209569 + 0.362984i 0.00800722 + 0.0138689i
\(686\) −19.3268 + 9.60735i −0.737900 + 0.366810i
\(687\) 41.6281 + 13.9507i 1.58821 + 0.532252i
\(688\) 1.66165 + 0.959355i 0.0633499 + 0.0365751i
\(689\) −9.58177 + 21.6125i −0.365036 + 0.823369i
\(690\) 0.0570110 0.924878i 0.00217037 0.0352095i
\(691\) −7.29865 + 27.2389i −0.277654 + 1.03622i 0.676388 + 0.736545i \(0.263544\pi\)
−0.954042 + 0.299673i \(0.903122\pi\)
\(692\) 2.08275 + 1.20248i 0.0791743 + 0.0457113i
\(693\) −24.0636 + 9.60331i −0.914100 + 0.364800i
\(694\) −10.2935 10.2935i −0.390737 0.390737i
\(695\) 0.249621 0.249621i 0.00946868 0.00946868i
\(696\) −27.8844 9.34479i −1.05696 0.354213i
\(697\) −15.2504 4.08632i −0.577648 0.154780i
\(698\) 3.31254i 0.125382i
\(699\) −15.2081 30.5393i −0.575224 1.15510i
\(700\) 5.86200 + 6.11056i 0.221563 + 0.230957i
\(701\) −22.2866 −0.841753 −0.420877 0.907118i \(-0.638278\pi\)
−0.420877 + 0.907118i \(0.638278\pi\)
\(702\) −21.4671 + 3.98184i −0.810223 + 0.150285i
\(703\) 4.62035 + 8.00268i 0.174260 + 0.301827i
\(704\) −19.9771 + 19.9771i −0.752914 + 0.752914i
\(705\) −1.46670 0.0904097i −0.0552391 0.00340503i
\(706\) 32.1872 18.5833i 1.21138 0.699392i
\(707\) −3.35505 3.49731i −0.126179 0.131530i
\(708\) 3.85919 3.41105i 0.145037 0.128195i
\(709\) 14.2493 14.2493i 0.535144 0.535144i −0.386954 0.922099i \(-0.626473\pi\)
0.922099 + 0.386954i \(0.126473\pi\)
\(710\) −0.589437 + 2.19981i −0.0221212 + 0.0825573i
\(711\) −9.09968 1.12612i −0.341265 0.0422327i
\(712\) −16.7175 + 9.65187i −0.626516 + 0.361719i
\(713\) 30.1330 8.07411i 1.12849 0.302378i
\(714\) −4.05119 + 5.84702i −0.151612 + 0.218819i
\(715\) −0.148198 1.38899i −0.00554230 0.0519451i
\(716\) 7.19250 + 4.15259i 0.268796 + 0.155190i
\(717\) −4.04160 19.9137i −0.150936 0.743692i
\(718\) 3.87548 0.144631
\(719\) 4.65486 0.173597 0.0867984 0.996226i \(-0.472336\pi\)
0.0867984 + 0.996226i \(0.472336\pi\)
\(720\) 0.760381 + 0.308059i 0.0283377 + 0.0114807i
\(721\) −0.496407 2.01938i −0.0184872 0.0752058i
\(722\) 0.831324 3.10254i 0.0309387 0.115465i
\(723\) −3.09001 1.03554i −0.114919 0.0385122i
\(724\) 7.28039 12.6100i 0.270573 0.468647i
\(725\) 27.4964 1.02119
\(726\) −0.460863 0.521412i −0.0171042 0.0193514i
\(727\) 3.93931i 0.146101i 0.997328 + 0.0730505i \(0.0232734\pi\)
−0.997328 + 0.0730505i \(0.976727\pi\)
\(728\) −16.8042 24.0876i −0.622806 0.892745i
\(729\) 25.1789 + 9.74807i 0.932550 + 0.361040i
\(730\) 0.467514 1.74479i 0.0173035 0.0645775i
\(731\) 1.10917i 0.0410243i
\(732\) 8.22599 4.09643i 0.304042 0.151408i
\(733\) 19.5808 5.24667i 0.723235 0.193790i 0.121620 0.992577i \(-0.461191\pi\)
0.601614 + 0.798787i \(0.294524\pi\)
\(734\) −31.8222 8.52675i −1.17458 0.314728i
\(735\) −0.513488 + 1.34427i −0.0189403 + 0.0495841i
\(736\) 9.49725 9.49725i 0.350073 0.350073i
\(737\) 2.98514i 0.109959i
\(738\) 38.1614 16.1556i 1.40474 0.594695i
\(739\) 4.76718 4.76718i 0.175364 0.175364i −0.613968 0.789331i \(-0.710427\pi\)
0.789331 + 0.613968i \(0.210427\pi\)
\(740\) −0.0754672 + 0.130713i −0.00277423 + 0.00480510i
\(741\) −19.6556 + 21.4976i −0.722068 + 0.789735i
\(742\) −17.2947 10.4696i −0.634908 0.384352i
\(743\) 2.94070 + 10.9748i 0.107884 + 0.402628i 0.998656 0.0518214i \(-0.0165027\pi\)
−0.890772 + 0.454450i \(0.849836\pi\)
\(744\) −2.64613 + 42.9277i −0.0970120 + 1.57381i
\(745\) −2.30304 1.32966i −0.0843768 0.0487150i
\(746\) 16.0894 + 4.31115i 0.589076 + 0.157842i
\(747\) 11.1616 + 4.52199i 0.408383 + 0.165451i
\(748\) −2.69586 0.722352i −0.0985703 0.0264118i
\(749\) 8.43097 + 2.44772i 0.308061 + 0.0894378i
\(750\) −2.38777 0.147186i −0.0871890 0.00537447i
\(751\) −38.1293 + 22.0140i −1.39136 + 0.803301i −0.993466 0.114131i \(-0.963592\pi\)
−0.397893 + 0.917432i \(0.630258\pi\)
\(752\) 11.6465 + 11.6465i 0.424704 + 0.424704i
\(753\) 39.4737 + 2.43322i 1.43850 + 0.0886716i
\(754\) −22.8926 3.58892i −0.833700 0.130701i
\(755\) 0.572245i 0.0208261i
\(756\) 0.497014 + 8.81075i 0.0180762 + 0.320444i
\(757\) 12.3729 21.4305i 0.449701 0.778904i −0.548666 0.836042i \(-0.684864\pi\)
0.998366 + 0.0571375i \(0.0181974\pi\)
\(758\) 33.1146 1.20278
\(759\) −14.4828 16.3856i −0.525692 0.594759i
\(760\) 1.64634 0.441136i 0.0597191 0.0160017i
\(761\) −5.27195 5.27195i −0.191108 0.191108i 0.605067 0.796175i \(-0.293146\pi\)
−0.796175 + 0.605067i \(0.793146\pi\)
\(762\) 41.3387 8.38990i 1.49754 0.303934i
\(763\) −14.8157 + 8.14858i −0.536364 + 0.294999i
\(764\) 6.02163 10.4298i 0.217855 0.377336i
\(765\) 0.0655570 + 0.469715i 0.00237022 + 0.0169826i
\(766\) −17.0681 + 9.85425i −0.616694 + 0.356048i
\(767\) 10.4912 12.9973i 0.378814 0.469304i
\(768\) 10.5384 + 21.1620i 0.380271 + 0.763617i
\(769\) −8.37977 + 2.24535i −0.302182 + 0.0809695i −0.406724 0.913551i \(-0.633329\pi\)
0.104542 + 0.994520i \(0.466662\pi\)
\(770\) 1.19428 + 0.0247942i 0.0430387 + 0.000893521i
\(771\) 35.2757 + 2.17445i 1.27042 + 0.0783111i
\(772\) 3.18677 0.853891i 0.114694 0.0307322i
\(773\) −11.6718 43.5598i −0.419806 1.56674i −0.775011 0.631948i \(-0.782256\pi\)
0.355206