Properties

Label 546.2.bu.a.71.13
Level $546$
Weight $2$
Character 546.71
Analytic conductor $4.360$
Analytic rank $0$
Dimension $56$
CM no
Inner twists $2$

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Newspace parameters

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

Newform invariants

Self dual: no
Analytic conductor: \(4.35983195036\)
Analytic rank: \(0\)
Dimension: \(56\)
Relative dimension: \(14\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 71.13
Character \(\chi\) \(=\) 546.71
Dual form 546.2.bu.a.323.13

$q$-expansion

\(f(q)\) \(=\) \(q+(0.965926 - 0.258819i) q^{2} +(1.59445 - 0.676548i) q^{3} +(0.866025 - 0.500000i) q^{4} +(-0.0940280 - 0.0940280i) q^{5} +(1.36502 - 1.06617i) q^{6} +(-0.258819 + 0.965926i) q^{7} +(0.707107 - 0.707107i) q^{8} +(2.08457 - 2.15745i) q^{9} +O(q^{10})\) \(q+(0.965926 - 0.258819i) q^{2} +(1.59445 - 0.676548i) q^{3} +(0.866025 - 0.500000i) q^{4} +(-0.0940280 - 0.0940280i) q^{5} +(1.36502 - 1.06617i) q^{6} +(-0.258819 + 0.965926i) q^{7} +(0.707107 - 0.707107i) q^{8} +(2.08457 - 2.15745i) q^{9} +(-0.115160 - 0.0664879i) q^{10} +(0.597984 + 2.23171i) q^{11} +(1.04256 - 1.38313i) q^{12} +(1.75854 - 3.14762i) q^{13} +1.00000i q^{14} +(-0.213538 - 0.0863089i) q^{15} +(0.500000 - 0.866025i) q^{16} +(0.998045 + 1.72867i) q^{17} +(1.45515 - 2.62346i) q^{18} +(-3.63980 - 0.975282i) q^{19} +(-0.128445 - 0.0344166i) q^{20} +(0.240820 + 1.71523i) q^{21} +(1.15522 + 2.00089i) q^{22} +(-0.925009 + 1.60216i) q^{23} +(0.649057 - 1.60584i) q^{24} -4.98232i q^{25} +(0.883958 - 3.49551i) q^{26} +(1.86412 - 4.85026i) q^{27} +(0.258819 + 0.965926i) q^{28} +(4.64426 + 2.68136i) q^{29} +(-0.228600 - 0.0281003i) q^{30} +(-3.47227 + 3.47227i) q^{31} +(0.258819 - 0.965926i) q^{32} +(2.46332 + 3.15379i) q^{33} +(1.41145 + 1.41145i) q^{34} +(0.115160 - 0.0664879i) q^{35} +(0.726562 - 2.91069i) q^{36} +(-5.91351 + 1.58452i) q^{37} -3.76820 q^{38} +(0.674399 - 6.20848i) q^{39} -0.132976 q^{40} +(-5.86989 + 1.57283i) q^{41} +(0.676548 + 1.59445i) q^{42} +(-6.57334 + 3.79512i) q^{43} +(1.63372 + 1.63372i) q^{44} +(-0.398868 + 0.00685313i) q^{45} +(-0.478820 + 1.78698i) q^{46} +(1.38964 - 1.38964i) q^{47} +(0.211319 - 1.71911i) q^{48} +(-0.866025 - 0.500000i) q^{49} +(-1.28952 - 4.81255i) q^{50} +(2.76086 + 2.08105i) q^{51} +(-0.0508677 - 3.60519i) q^{52} +9.54800i q^{53} +(0.545266 - 5.16746i) q^{54} +(0.153616 - 0.266070i) q^{55} +(0.500000 + 0.866025i) q^{56} +(-6.46332 + 0.907459i) q^{57} +(5.17999 + 1.38798i) q^{58} +(3.63796 + 0.974789i) q^{59} +(-0.228084 + 0.0320232i) q^{60} +(-4.39051 - 7.60459i) q^{61} +(-2.45526 + 4.25264i) q^{62} +(1.54441 + 2.57192i) q^{63} -1.00000i q^{64} +(-0.461317 + 0.130612i) q^{65} +(3.19564 + 2.40877i) q^{66} +(0.191482 + 0.714619i) q^{67} +(1.72867 + 0.998045i) q^{68} +(-0.390944 + 3.18039i) q^{69} +(0.0940280 - 0.0940280i) q^{70} +(-2.76408 + 10.3157i) q^{71} +(-0.0515367 - 2.99956i) q^{72} +(4.50799 + 4.50799i) q^{73} +(-5.30191 + 3.06106i) q^{74} +(-3.37078 - 7.94407i) q^{75} +(-3.63980 + 0.975282i) q^{76} -2.31043 q^{77} +(-0.955453 - 6.17148i) q^{78} +9.50277 q^{79} +(-0.128445 + 0.0344166i) q^{80} +(-0.309175 - 8.99469i) q^{81} +(-5.26280 + 3.03848i) q^{82} +(-4.90518 - 4.90518i) q^{83} +(1.06617 + 1.36502i) q^{84} +(0.0686988 - 0.256387i) q^{85} +(-5.36711 + 5.36711i) q^{86} +(9.21912 + 1.13325i) q^{87} +(2.00089 + 1.15522i) q^{88} +(-2.38836 - 8.91348i) q^{89} +(-0.383503 + 0.109854i) q^{90} +(2.58522 + 2.51329i) q^{91} +1.85002i q^{92} +(-3.18721 + 7.88553i) q^{93} +(0.982621 - 1.70195i) q^{94} +(0.250540 + 0.433947i) q^{95} +(-0.240820 - 1.71523i) q^{96} +(0.719389 + 0.192760i) q^{97} +(-0.965926 - 0.258819i) q^{98} +(6.06133 + 3.36202i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 56q - 8q^{6} + 24q^{9} + O(q^{10}) \) \( 56q - 8q^{6} + 24q^{9} + 24q^{10} - 8q^{11} + 24q^{13} - 4q^{15} + 28q^{16} + 4q^{17} + 8q^{19} + 4q^{21} + 8q^{23} + 8q^{24} + 4q^{26} - 24q^{27} - 16q^{30} - 8q^{31} - 32q^{33} - 24q^{34} - 24q^{35} - 12q^{36} - 8q^{37} - 60q^{39} + 28q^{41} - 8q^{44} - 40q^{45} - 20q^{46} - 64q^{50} + 8q^{54} + 8q^{55} + 28q^{56} + 40q^{57} + 4q^{58} + 8q^{59} + 4q^{60} + 8q^{61} + 32q^{62} + 24q^{65} + 32q^{66} - 56q^{69} + 112q^{71} + 16q^{72} + 8q^{73} - 48q^{74} - 40q^{75} + 8q^{76} - 8q^{78} + 16q^{79} + 12q^{81} + 4q^{83} - 4q^{84} + 32q^{85} + 16q^{86} + 144q^{87} - 88q^{89} + 8q^{90} - 8q^{91} - 76q^{93} - 8q^{94} + 48q^{95} - 4q^{96} - 64q^{97} - 40q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(157\) \(365\) \(379\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{5}{12}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.965926 0.258819i 0.683013 0.183013i
\(3\) 1.59445 0.676548i 0.920558 0.390605i
\(4\) 0.866025 0.500000i 0.433013 0.250000i
\(5\) −0.0940280 0.0940280i −0.0420506 0.0420506i 0.685769 0.727819i \(-0.259466\pi\)
−0.727819 + 0.685769i \(0.759466\pi\)
\(6\) 1.36502 1.06617i 0.557267 0.435262i
\(7\) −0.258819 + 0.965926i −0.0978244 + 0.365086i
\(8\) 0.707107 0.707107i 0.250000 0.250000i
\(9\) 2.08457 2.15745i 0.694855 0.719150i
\(10\) −0.115160 0.0664879i −0.0364169 0.0210253i
\(11\) 0.597984 + 2.23171i 0.180299 + 0.672885i 0.995588 + 0.0938310i \(0.0299113\pi\)
−0.815289 + 0.579054i \(0.803422\pi\)
\(12\) 1.04256 1.38313i 0.300962 0.399277i
\(13\) 1.75854 3.14762i 0.487732 0.872993i
\(14\) 1.00000i 0.267261i
\(15\) −0.213538 0.0863089i −0.0551352 0.0222849i
\(16\) 0.500000 0.866025i 0.125000 0.216506i
\(17\) 0.998045 + 1.72867i 0.242062 + 0.419263i 0.961301 0.275499i \(-0.0888431\pi\)
−0.719240 + 0.694762i \(0.755510\pi\)
\(18\) 1.45515 2.62346i 0.342981 0.618356i
\(19\) −3.63980 0.975282i −0.835028 0.223745i −0.184122 0.982903i \(-0.558944\pi\)
−0.650906 + 0.759158i \(0.725611\pi\)
\(20\) −0.128445 0.0344166i −0.0287211 0.00769580i
\(21\) 0.240820 + 1.71523i 0.0525513 + 0.374293i
\(22\) 1.15522 + 2.00089i 0.246293 + 0.426592i
\(23\) −0.925009 + 1.60216i −0.192878 + 0.334074i −0.946203 0.323574i \(-0.895115\pi\)
0.753325 + 0.657648i \(0.228449\pi\)
\(24\) 0.649057 1.60584i 0.132488 0.327791i
\(25\) 4.98232i 0.996463i
\(26\) 0.883958 3.49551i 0.173358 0.685527i
\(27\) 1.86412 4.85026i 0.358751 0.933433i
\(28\) 0.258819 + 0.965926i 0.0489122 + 0.182543i
\(29\) 4.64426 + 2.68136i 0.862417 + 0.497917i 0.864821 0.502081i \(-0.167432\pi\)
−0.00240413 + 0.999997i \(0.500765\pi\)
\(30\) −0.228600 0.0281003i −0.0417365 0.00513039i
\(31\) −3.47227 + 3.47227i −0.623638 + 0.623638i −0.946460 0.322822i \(-0.895369\pi\)
0.322822 + 0.946460i \(0.395369\pi\)
\(32\) 0.258819 0.965926i 0.0457532 0.170753i
\(33\) 2.46332 + 3.15379i 0.428808 + 0.549004i
\(34\) 1.41145 + 1.41145i 0.242062 + 0.242062i
\(35\) 0.115160 0.0664879i 0.0194657 0.0112385i
\(36\) 0.726562 2.91069i 0.121094 0.485115i
\(37\) −5.91351 + 1.58452i −0.972175 + 0.260493i −0.709746 0.704458i \(-0.751190\pi\)
−0.262429 + 0.964951i \(0.584524\pi\)
\(38\) −3.76820 −0.611283
\(39\) 0.674399 6.20848i 0.107990 0.994152i
\(40\) −0.132976 −0.0210253
\(41\) −5.86989 + 1.57283i −0.916724 + 0.245635i −0.686184 0.727428i \(-0.740716\pi\)
−0.230539 + 0.973063i \(0.574049\pi\)
\(42\) 0.676548 + 1.59445i 0.104394 + 0.246030i
\(43\) −6.57334 + 3.79512i −1.00242 + 0.578750i −0.908965 0.416873i \(-0.863126\pi\)
−0.0934596 + 0.995623i \(0.529793\pi\)
\(44\) 1.63372 + 1.63372i 0.246293 + 0.246293i
\(45\) −0.398868 + 0.00685313i −0.0594598 + 0.00102160i
\(46\) −0.478820 + 1.78698i −0.0705982 + 0.263476i
\(47\) 1.38964 1.38964i 0.202699 0.202699i −0.598456 0.801156i \(-0.704219\pi\)
0.801156 + 0.598456i \(0.204219\pi\)
\(48\) 0.211319 1.71911i 0.0305013 0.248132i
\(49\) −0.866025 0.500000i −0.123718 0.0714286i
\(50\) −1.28952 4.81255i −0.182365 0.680597i
\(51\) 2.76086 + 2.08105i 0.386598 + 0.291405i
\(52\) −0.0508677 3.60519i −0.00705408 0.499950i
\(53\) 9.54800i 1.31152i 0.754970 + 0.655760i \(0.227652\pi\)
−0.754970 + 0.655760i \(0.772348\pi\)
\(54\) 0.545266 5.16746i 0.0742013 0.703203i
\(55\) 0.153616 0.266070i 0.0207135 0.0358769i
\(56\) 0.500000 + 0.866025i 0.0668153 + 0.115728i
\(57\) −6.46332 + 0.907459i −0.856088 + 0.120196i
\(58\) 5.17999 + 1.38798i 0.680167 + 0.182250i
\(59\) 3.63796 + 0.974789i 0.473622 + 0.126907i 0.487731 0.872994i \(-0.337825\pi\)
−0.0141091 + 0.999900i \(0.504491\pi\)
\(60\) −0.228084 + 0.0320232i −0.0294455 + 0.00413418i
\(61\) −4.39051 7.60459i −0.562148 0.973668i −0.997309 0.0733156i \(-0.976642\pi\)
0.435161 0.900353i \(-0.356691\pi\)
\(62\) −2.45526 + 4.25264i −0.311819 + 0.540086i
\(63\) 1.54441 + 2.57192i 0.194577 + 0.324032i
\(64\) 1.00000i 0.125000i
\(65\) −0.461317 + 0.130612i −0.0572193 + 0.0162005i
\(66\) 3.19564 + 2.40877i 0.393356 + 0.296499i
\(67\) 0.191482 + 0.714619i 0.0233932 + 0.0873046i 0.976636 0.214902i \(-0.0689433\pi\)
−0.953242 + 0.302207i \(0.902277\pi\)
\(68\) 1.72867 + 0.998045i 0.209631 + 0.121031i
\(69\) −0.390944 + 3.18039i −0.0470642 + 0.382874i
\(70\) 0.0940280 0.0940280i 0.0112385 0.0112385i
\(71\) −2.76408 + 10.3157i −0.328036 + 1.22425i 0.583188 + 0.812337i \(0.301805\pi\)
−0.911224 + 0.411911i \(0.864862\pi\)
\(72\) −0.0515367 2.99956i −0.00607366 0.353501i
\(73\) 4.50799 + 4.50799i 0.527620 + 0.527620i 0.919862 0.392242i \(-0.128300\pi\)
−0.392242 + 0.919862i \(0.628300\pi\)
\(74\) −5.30191 + 3.06106i −0.616334 + 0.355841i
\(75\) −3.37078 7.94407i −0.389224 0.917303i
\(76\) −3.63980 + 0.975282i −0.417514 + 0.111873i
\(77\) −2.31043 −0.263298
\(78\) −0.955453 6.17148i −0.108184 0.698782i
\(79\) 9.50277 1.06914 0.534572 0.845123i \(-0.320473\pi\)
0.534572 + 0.845123i \(0.320473\pi\)
\(80\) −0.128445 + 0.0344166i −0.0143606 + 0.00384790i
\(81\) −0.309175 8.99469i −0.0343527 0.999410i
\(82\) −5.26280 + 3.03848i −0.581179 + 0.335544i
\(83\) −4.90518 4.90518i −0.538414 0.538414i 0.384649 0.923063i \(-0.374322\pi\)
−0.923063 + 0.384649i \(0.874322\pi\)
\(84\) 1.06617 + 1.36502i 0.116329 + 0.148936i
\(85\) 0.0686988 0.256387i 0.00745143 0.0278091i
\(86\) −5.36711 + 5.36711i −0.578750 + 0.578750i
\(87\) 9.21912 + 1.13325i 0.988394 + 0.121497i
\(88\) 2.00089 + 1.15522i 0.213296 + 0.123147i
\(89\) −2.38836 8.91348i −0.253166 0.944827i −0.969102 0.246661i \(-0.920667\pi\)
0.715936 0.698166i \(-0.246000\pi\)
\(90\) −0.383503 + 0.109854i −0.0404248 + 0.0115797i
\(91\) 2.58522 + 2.51329i 0.271005 + 0.263464i
\(92\) 1.85002i 0.192878i
\(93\) −3.18721 + 7.88553i −0.330499 + 0.817691i
\(94\) 0.982621 1.70195i 0.101350 0.175543i
\(95\) 0.250540 + 0.433947i 0.0257048 + 0.0445220i
\(96\) −0.240820 1.71523i −0.0245786 0.175060i
\(97\) 0.719389 + 0.192760i 0.0730429 + 0.0195718i 0.295155 0.955449i \(-0.404629\pi\)
−0.222113 + 0.975021i \(0.571295\pi\)
\(98\) −0.965926 0.258819i −0.0975732 0.0261447i
\(99\) 6.06133 + 3.36202i 0.609187 + 0.337896i
\(100\) −2.49116 4.31481i −0.249116 0.431481i
\(101\) −5.62877 + 9.74931i −0.560083 + 0.970092i 0.437405 + 0.899264i \(0.355897\pi\)
−0.997489 + 0.0708280i \(0.977436\pi\)
\(102\) 3.20540 + 1.29558i 0.317382 + 0.128281i
\(103\) 6.36326i 0.626991i 0.949590 + 0.313495i \(0.101500\pi\)
−0.949590 + 0.313495i \(0.898500\pi\)
\(104\) −0.982227 3.46918i −0.0963153 0.340181i
\(105\) 0.138636 0.183923i 0.0135294 0.0179491i
\(106\) 2.47121 + 9.22266i 0.240025 + 0.895784i
\(107\) 8.62988 + 4.98246i 0.834282 + 0.481673i 0.855316 0.518106i \(-0.173363\pi\)
−0.0210348 + 0.999779i \(0.506696\pi\)
\(108\) −0.810751 5.13251i −0.0780146 0.493876i
\(109\) 5.09609 5.09609i 0.488117 0.488117i −0.419595 0.907712i \(-0.637828\pi\)
0.907712 + 0.419595i \(0.137828\pi\)
\(110\) 0.0795174 0.296763i 0.00758168 0.0282952i
\(111\) −8.35681 + 6.52722i −0.793193 + 0.619536i
\(112\) 0.707107 + 0.707107i 0.0668153 + 0.0668153i
\(113\) 4.13893 2.38961i 0.389358 0.224796i −0.292524 0.956258i \(-0.594495\pi\)
0.681882 + 0.731462i \(0.261162\pi\)
\(114\) −6.00822 + 2.54937i −0.562721 + 0.238770i
\(115\) 0.237625 0.0636714i 0.0221587 0.00593739i
\(116\) 5.36273 0.497917
\(117\) −3.12504 10.3554i −0.288910 0.957356i
\(118\) 3.76629 0.346716
\(119\) −1.92808 + 0.516626i −0.176746 + 0.0473591i
\(120\) −0.212024 + 0.0899645i −0.0193550 + 0.00821259i
\(121\) 4.90335 2.83095i 0.445759 0.257359i
\(122\) −6.20912 6.20912i −0.562148 0.562148i
\(123\) −8.29518 + 6.47908i −0.747951 + 0.584199i
\(124\) −1.27094 + 4.74321i −0.114134 + 0.425953i
\(125\) −0.938618 + 0.938618i −0.0839525 + 0.0839525i
\(126\) 2.15745 + 2.08457i 0.192201 + 0.185708i
\(127\) −8.91640 5.14789i −0.791203 0.456801i 0.0491832 0.998790i \(-0.484338\pi\)
−0.840386 + 0.541989i \(0.817672\pi\)
\(128\) −0.258819 0.965926i −0.0228766 0.0853766i
\(129\) −7.91330 + 10.4983i −0.696727 + 0.924325i
\(130\) −0.411793 + 0.245559i −0.0361166 + 0.0215370i
\(131\) 12.9667i 1.13291i −0.824093 0.566455i \(-0.808315\pi\)
0.824093 0.566455i \(-0.191685\pi\)
\(132\) 3.71019 + 1.49960i 0.322930 + 0.130524i
\(133\) 1.88410 3.26336i 0.163372 0.282969i
\(134\) 0.369914 + 0.640710i 0.0319557 + 0.0553489i
\(135\) −0.631341 + 0.280781i −0.0543371 + 0.0241657i
\(136\) 1.92808 + 0.516626i 0.165331 + 0.0443003i
\(137\) −20.6637 5.53683i −1.76542 0.473043i −0.777617 0.628738i \(-0.783572\pi\)
−0.987805 + 0.155695i \(0.950238\pi\)
\(138\) 0.445522 + 3.17320i 0.0379254 + 0.270121i
\(139\) −6.94343 12.0264i −0.588934 1.02006i −0.994372 0.105942i \(-0.966214\pi\)
0.405438 0.914123i \(-0.367119\pi\)
\(140\) 0.0664879 0.115160i 0.00561925 0.00973283i
\(141\) 1.27556 3.15587i 0.107421 0.265772i
\(142\) 10.6796i 0.896212i
\(143\) 8.07615 + 2.04233i 0.675362 + 0.170788i
\(144\) −0.826123 2.88401i −0.0688436 0.240334i
\(145\) −0.184567 0.688813i −0.0153275 0.0572028i
\(146\) 5.52113 + 3.18763i 0.456932 + 0.263810i
\(147\) −1.71911 0.211319i −0.141790 0.0174293i
\(148\) −4.32899 + 4.32899i −0.355841 + 0.355841i
\(149\) −4.73105 + 17.6565i −0.387583 + 1.44648i 0.446472 + 0.894798i \(0.352680\pi\)
−0.834055 + 0.551681i \(0.813986\pi\)
\(150\) −5.31200 6.80097i −0.433723 0.555297i
\(151\) 16.7823 + 16.7823i 1.36572 + 1.36572i 0.866437 + 0.499287i \(0.166405\pi\)
0.499287 + 0.866437i \(0.333595\pi\)
\(152\) −3.26336 + 1.88410i −0.264693 + 0.152821i
\(153\) 5.81000 + 1.45028i 0.469711 + 0.117248i
\(154\) −2.23171 + 0.597984i −0.179836 + 0.0481869i
\(155\) 0.652981 0.0524487
\(156\) −2.52019 5.71390i −0.201777 0.457478i
\(157\) 11.7291 0.936082 0.468041 0.883707i \(-0.344960\pi\)
0.468041 + 0.883707i \(0.344960\pi\)
\(158\) 9.17897 2.45950i 0.730240 0.195667i
\(159\) 6.45968 + 15.2239i 0.512286 + 1.20733i
\(160\) −0.115160 + 0.0664879i −0.00910422 + 0.00525633i
\(161\) −1.30816 1.30816i −0.103098 0.103098i
\(162\) −2.62664 8.60818i −0.206368 0.676323i
\(163\) −2.86294 + 10.6847i −0.224243 + 0.836886i 0.758463 + 0.651716i \(0.225950\pi\)
−0.982706 + 0.185171i \(0.940716\pi\)
\(164\) −4.29706 + 4.29706i −0.335544 + 0.335544i
\(165\) 0.0649239 0.528165i 0.00505432 0.0411176i
\(166\) −6.00760 3.46849i −0.466280 0.269207i
\(167\) −3.42526 12.7832i −0.265055 0.989197i −0.962217 0.272284i \(-0.912221\pi\)
0.697162 0.716913i \(-0.254446\pi\)
\(168\) 1.38313 + 1.04256i 0.106711 + 0.0804355i
\(169\) −6.81505 11.0705i −0.524235 0.851574i
\(170\) 0.265432i 0.0203577i
\(171\) −9.69153 + 5.81965i −0.741129 + 0.445040i
\(172\) −3.79512 + 6.57334i −0.289375 + 0.501212i
\(173\) −10.8531 18.7981i −0.825144 1.42919i −0.901809 0.432135i \(-0.857760\pi\)
0.0766643 0.997057i \(-0.475573\pi\)
\(174\) 9.19829 1.29145i 0.697321 0.0979048i
\(175\) 4.81255 + 1.28952i 0.363795 + 0.0974784i
\(176\) 2.23171 + 0.597984i 0.168221 + 0.0450748i
\(177\) 6.46005 0.907000i 0.485567 0.0681743i
\(178\) −4.61396 7.99161i −0.345831 0.598996i
\(179\) −5.54875 + 9.61072i −0.414733 + 0.718339i −0.995400 0.0958020i \(-0.969458\pi\)
0.580667 + 0.814141i \(0.302792\pi\)
\(180\) −0.342003 + 0.205369i −0.0254914 + 0.0153073i
\(181\) 10.5103i 0.781225i −0.920555 0.390613i \(-0.872263\pi\)
0.920555 0.390613i \(-0.127737\pi\)
\(182\) 3.14762 + 1.75854i 0.233317 + 0.130352i
\(183\) −12.1453 9.15478i −0.897810 0.676741i
\(184\) 0.478820 + 1.78698i 0.0352991 + 0.131738i
\(185\) 0.705025 + 0.407046i 0.0518345 + 0.0299266i
\(186\) −1.03769 + 8.44175i −0.0760870 + 0.618979i
\(187\) −3.26106 + 3.26106i −0.238472 + 0.238472i
\(188\) 0.508642 1.89828i 0.0370965 0.138446i
\(189\) 4.20252 + 3.05595i 0.305688 + 0.222287i
\(190\) 0.354316 + 0.354316i 0.0257048 + 0.0257048i
\(191\) −13.1542 + 7.59456i −0.951803 + 0.549523i −0.893640 0.448784i \(-0.851857\pi\)
−0.0581621 + 0.998307i \(0.518524\pi\)
\(192\) −0.676548 1.59445i −0.0488257 0.115070i
\(193\) 15.9546 4.27502i 1.14844 0.307722i 0.366098 0.930576i \(-0.380694\pi\)
0.782338 + 0.622854i \(0.214027\pi\)
\(194\) 0.744767 0.0534711
\(195\) −0.647183 + 0.520358i −0.0463458 + 0.0372636i
\(196\) −1.00000 −0.0714286
\(197\) 11.1209 2.97984i 0.792333 0.212305i 0.160118 0.987098i \(-0.448813\pi\)
0.632215 + 0.774793i \(0.282146\pi\)
\(198\) 6.72495 + 1.67867i 0.477922 + 0.119298i
\(199\) −4.64562 + 2.68215i −0.329319 + 0.190133i −0.655539 0.755161i \(-0.727558\pi\)
0.326220 + 0.945294i \(0.394225\pi\)
\(200\) −3.52303 3.52303i −0.249116 0.249116i
\(201\) 0.788783 + 1.00988i 0.0556365 + 0.0712315i
\(202\) −2.91366 + 10.8739i −0.205005 + 0.765088i
\(203\) −3.79202 + 3.79202i −0.266148 + 0.266148i
\(204\) 3.43150 + 0.421812i 0.240253 + 0.0295327i
\(205\) 0.699825 + 0.404044i 0.0488779 + 0.0282197i
\(206\) 1.64693 + 6.14644i 0.114747 + 0.428243i
\(207\) 1.52834 + 5.33548i 0.106227 + 0.370841i
\(208\) −1.84665 3.09675i −0.128042 0.214721i
\(209\) 8.70617i 0.602219i
\(210\) 0.0863089 0.213538i 0.00595588 0.0147355i
\(211\) 9.91958 17.1812i 0.682892 1.18280i −0.291202 0.956662i \(-0.594055\pi\)
0.974094 0.226143i \(-0.0726115\pi\)
\(212\) 4.77400 + 8.26881i 0.327880 + 0.567905i
\(213\) 2.57186 + 18.3179i 0.176221 + 1.25512i
\(214\) 9.62538 + 2.57911i 0.657977 + 0.176304i
\(215\) 0.974925 + 0.261230i 0.0664893 + 0.0178158i
\(216\) −2.11152 4.74779i −0.143671 0.323046i
\(217\) −2.45526 4.25264i −0.166674 0.288688i
\(218\) 3.60348 6.24141i 0.244058 0.422722i
\(219\) 10.2376 + 4.13791i 0.691796 + 0.279614i
\(220\) 0.307232i 0.0207135i
\(221\) 7.19629 0.101536i 0.484075 0.00683008i
\(222\) −6.38269 + 8.46771i −0.428378 + 0.568315i
\(223\) −4.51597 16.8538i −0.302412 1.12862i −0.935150 0.354251i \(-0.884736\pi\)
0.632738 0.774366i \(-0.281931\pi\)
\(224\) 0.866025 + 0.500000i 0.0578638 + 0.0334077i
\(225\) −10.7491 10.3860i −0.716606 0.692398i
\(226\) 3.37942 3.37942i 0.224796 0.224796i
\(227\) −2.87165 + 10.7171i −0.190598 + 0.711321i 0.802765 + 0.596296i \(0.203362\pi\)
−0.993363 + 0.115025i \(0.963305\pi\)
\(228\) −5.14367 + 4.01754i −0.340648 + 0.266068i
\(229\) 2.78807 + 2.78807i 0.184241 + 0.184241i 0.793201 0.608960i \(-0.208413\pi\)
−0.608960 + 0.793201i \(0.708413\pi\)
\(230\) 0.213049 0.123004i 0.0140480 0.00811063i
\(231\) −3.68388 + 1.56312i −0.242381 + 0.102846i
\(232\) 5.17999 1.38798i 0.340083 0.0911250i
\(233\) −0.467755 −0.0306436 −0.0153218 0.999883i \(-0.504877\pi\)
−0.0153218 + 0.999883i \(0.504877\pi\)
\(234\) −5.69873 9.19372i −0.372537 0.601012i
\(235\) −0.261330 −0.0170473
\(236\) 3.63796 0.974789i 0.236811 0.0634533i
\(237\) 15.1517 6.42908i 0.984210 0.417614i
\(238\) −1.72867 + 0.998045i −0.112053 + 0.0646937i
\(239\) 12.6716 + 12.6716i 0.819657 + 0.819657i 0.986058 0.166401i \(-0.0532147\pi\)
−0.166401 + 0.986058i \(0.553215\pi\)
\(240\) −0.181515 + 0.141775i −0.0117167 + 0.00915152i
\(241\) 5.24682 19.5814i 0.337977 1.26135i −0.562628 0.826710i \(-0.690210\pi\)
0.900605 0.434638i \(-0.143124\pi\)
\(242\) 4.00357 4.00357i 0.257359 0.257359i
\(243\) −6.57830 14.1324i −0.421998 0.906597i
\(244\) −7.60459 4.39051i −0.486834 0.281074i
\(245\) 0.0344166 + 0.128445i 0.00219880 + 0.00820603i
\(246\) −6.33562 + 8.40526i −0.403944 + 0.535900i
\(247\) −9.47057 + 9.74164i −0.602598 + 0.619846i
\(248\) 4.91053i 0.311819i
\(249\) −11.1397 4.50250i −0.705949 0.285334i
\(250\) −0.663703 + 1.14957i −0.0419763 + 0.0727050i
\(251\) −6.84702 11.8594i −0.432180 0.748558i 0.564881 0.825173i \(-0.308922\pi\)
−0.997061 + 0.0766147i \(0.975589\pi\)
\(252\) 2.62346 + 1.45515i 0.165263 + 0.0916656i
\(253\) −4.12870 1.10628i −0.259569 0.0695514i
\(254\) −9.94495 2.66474i −0.624002 0.167201i
\(255\) −0.0639213 0.455276i −0.00400291 0.0285105i
\(256\) −0.500000 0.866025i −0.0312500 0.0541266i
\(257\) 13.4900 23.3654i 0.841484 1.45749i −0.0471552 0.998888i \(-0.515016\pi\)
0.888640 0.458606i \(-0.151651\pi\)
\(258\) −4.92650 + 12.1887i −0.306710 + 0.758836i
\(259\) 6.12211i 0.380410i
\(260\) −0.334206 + 0.343772i −0.0207266 + 0.0213198i
\(261\) 15.4662 4.43027i 0.957331 0.274227i
\(262\) −3.35604 12.5249i −0.207337 0.773792i
\(263\) 20.6357 + 11.9140i 1.27245 + 0.734650i 0.975449 0.220226i \(-0.0706796\pi\)
0.297003 + 0.954877i \(0.404013\pi\)
\(264\) 3.97189 + 0.488239i 0.244453 + 0.0300490i
\(265\) 0.897780 0.897780i 0.0551502 0.0551502i
\(266\) 0.975282 3.63980i 0.0597984 0.223171i
\(267\) −9.83853 12.5963i −0.602108 0.770880i
\(268\) 0.523138 + 0.523138i 0.0319557 + 0.0319557i
\(269\) 19.9488 11.5174i 1.21630 0.702230i 0.252174 0.967682i \(-0.418855\pi\)
0.964124 + 0.265452i \(0.0855213\pi\)
\(270\) −0.537157 + 0.434616i −0.0326903 + 0.0264499i
\(271\) −10.8574 + 2.90924i −0.659542 + 0.176724i −0.573039 0.819528i \(-0.694236\pi\)
−0.0865025 + 0.996252i \(0.527569\pi\)
\(272\) 1.99609 0.121031
\(273\) 5.82238 + 2.25829i 0.352387 + 0.136678i
\(274\) −21.3927 −1.29238
\(275\) 11.1191 2.97935i 0.670505 0.179661i
\(276\) 1.25163 + 2.94977i 0.0753391 + 0.177555i
\(277\) −3.26051 + 1.88245i −0.195905 + 0.113106i −0.594744 0.803915i \(-0.702747\pi\)
0.398839 + 0.917021i \(0.369413\pi\)
\(278\) −9.81950 9.81950i −0.588934 0.588934i
\(279\) 0.253072 + 14.7294i 0.0151510 + 0.881827i
\(280\) 0.0344166 0.128445i 0.00205679 0.00767604i
\(281\) 3.00527 3.00527i 0.179280 0.179280i −0.611762 0.791042i \(-0.709539\pi\)
0.791042 + 0.611762i \(0.209539\pi\)
\(282\) 0.415293 3.37847i 0.0247303 0.201185i
\(283\) 20.0131 + 11.5546i 1.18966 + 0.686849i 0.958229 0.286003i \(-0.0923267\pi\)
0.231429 + 0.972852i \(0.425660\pi\)
\(284\) 2.76408 + 10.3157i 0.164018 + 0.612124i
\(285\) 0.693060 + 0.522407i 0.0410533 + 0.0309447i
\(286\) 8.32956 0.117526i 0.492537 0.00694948i
\(287\) 6.07696i 0.358712i
\(288\) −1.54441 2.57192i −0.0910053 0.151552i
\(289\) 6.50781 11.2719i 0.382812 0.663051i
\(290\) −0.356556 0.617573i −0.0209377 0.0362652i
\(291\) 1.27744 0.179355i 0.0748851 0.0105140i
\(292\) 6.15802 + 1.65004i 0.360371 + 0.0965611i
\(293\) 5.48386 + 1.46940i 0.320371 + 0.0858431i 0.415421 0.909629i \(-0.363634\pi\)
−0.0950499 + 0.995473i \(0.530301\pi\)
\(294\) −1.71523 + 0.240820i −0.100034 + 0.0140449i
\(295\) −0.250413 0.433728i −0.0145796 0.0252526i
\(296\) −3.06106 + 5.30191i −0.177920 + 0.308167i
\(297\) 11.9391 + 1.25980i 0.692776 + 0.0731011i
\(298\) 18.2794i 1.05890i
\(299\) 3.41634 + 5.72905i 0.197572 + 0.331320i
\(300\) −6.89122 5.19438i −0.397865 0.299898i
\(301\) −1.96450 7.33160i −0.113232 0.422587i
\(302\) 20.5540 + 11.8669i 1.18275 + 0.682862i
\(303\) −2.37893 + 19.3530i −0.136666 + 1.11180i
\(304\) −2.66452 + 2.66452i −0.152821 + 0.152821i
\(305\) −0.302213 + 1.12788i −0.0173047 + 0.0645820i
\(306\) 5.98739 0.102872i 0.342276 0.00588080i
\(307\) −4.15580 4.15580i −0.237184 0.237184i 0.578499 0.815683i \(-0.303639\pi\)
−0.815683 + 0.578499i \(0.803639\pi\)
\(308\) −2.00089 + 1.15522i −0.114012 + 0.0658246i
\(309\) 4.30505 + 10.1459i 0.244906 + 0.577182i
\(310\) 0.630731 0.169004i 0.0358231 0.00959878i
\(311\) 12.4700 0.707110 0.353555 0.935414i \(-0.384973\pi\)
0.353555 + 0.935414i \(0.384973\pi\)
\(312\) −3.91318 4.86693i −0.221540 0.275536i
\(313\) 22.2305 1.25654 0.628271 0.777994i \(-0.283763\pi\)
0.628271 + 0.777994i \(0.283763\pi\)
\(314\) 11.3294 3.03571i 0.639356 0.171315i
\(315\) 0.0966151 0.387051i 0.00544364 0.0218078i
\(316\) 8.22964 4.75138i 0.462953 0.267286i
\(317\) −19.7183 19.7183i −1.10749 1.10749i −0.993479 0.114013i \(-0.963629\pi\)
−0.114013 0.993479i \(-0.536371\pi\)
\(318\) 10.1798 + 13.0332i 0.570855 + 0.730867i
\(319\) −3.20682 + 11.9680i −0.179548 + 0.670081i
\(320\) −0.0940280 + 0.0940280i −0.00525633 + 0.00525633i
\(321\) 17.1308 + 2.10578i 0.956149 + 0.117533i
\(322\) −1.60216 0.925009i −0.0892851 0.0515488i
\(323\) −1.94675 7.26537i −0.108320 0.404256i
\(324\) −4.76510 7.63504i −0.264728 0.424169i
\(325\) −15.6825 8.76162i −0.869906 0.486007i
\(326\) 11.0616i 0.612643i
\(327\) 4.67773 11.5732i 0.258679 0.640001i
\(328\) −3.03848 + 5.26280i −0.167772 + 0.290590i
\(329\) 0.982621 + 1.70195i 0.0541737 + 0.0938315i
\(330\) −0.0739876 0.526972i −0.00407288 0.0290089i
\(331\) 12.6927 + 3.40101i 0.697656 + 0.186936i 0.590180 0.807271i \(-0.299057\pi\)
0.107476 + 0.994208i \(0.465723\pi\)
\(332\) −6.70061 1.79542i −0.367744 0.0985366i
\(333\) −8.90857 + 16.0611i −0.488187 + 0.880144i
\(334\) −6.61709 11.4611i −0.362071 0.627126i
\(335\) 0.0491896 0.0851989i 0.00268751 0.00465491i
\(336\) 1.60584 + 0.649057i 0.0876058 + 0.0354090i
\(337\) 20.0957i 1.09468i −0.836910 0.547340i \(-0.815640\pi\)
0.836910 0.547340i \(-0.184360\pi\)
\(338\) −9.44808 8.92938i −0.513908 0.485694i
\(339\) 4.98264 6.61031i 0.270620 0.359023i
\(340\) −0.0686988 0.256387i −0.00372571 0.0139046i
\(341\) −9.82545 5.67272i −0.532078 0.307195i
\(342\) −7.85506 + 8.12970i −0.424753 + 0.439604i
\(343\) 0.707107 0.707107i 0.0381802 0.0381802i
\(344\) −1.96450 + 7.33160i −0.105919 + 0.395294i
\(345\) 0.335805 0.262286i 0.0180792 0.0141210i
\(346\) −15.3486 15.3486i −0.825144 0.825144i
\(347\) 4.38979 2.53445i 0.235656 0.136056i −0.377522 0.926000i \(-0.623224\pi\)
0.613179 + 0.789944i \(0.289891\pi\)
\(348\) 8.55062 3.62814i 0.458361 0.194489i
\(349\) −11.8263 + 3.16885i −0.633047 + 0.169624i −0.561052 0.827781i \(-0.689603\pi\)
−0.0719950 + 0.997405i \(0.522937\pi\)
\(350\) 4.98232 0.266316
\(351\) −11.9886 14.3970i −0.639907 0.768453i
\(352\) 2.31043 0.123147
\(353\) 15.7043 4.20795i 0.835855 0.223967i 0.184589 0.982816i \(-0.440905\pi\)
0.651267 + 0.758849i \(0.274238\pi\)
\(354\) 6.00518 2.54808i 0.319172 0.135429i
\(355\) 1.22987 0.710063i 0.0652745 0.0376862i
\(356\) −6.52512 6.52512i −0.345831 0.345831i
\(357\) −2.72470 + 2.12817i −0.144207 + 0.112635i
\(358\) −2.87225 + 10.7194i −0.151803 + 0.566536i
\(359\) 23.9159 23.9159i 1.26223 1.26223i 0.312225 0.950008i \(-0.398926\pi\)
0.950008 0.312225i \(-0.101074\pi\)
\(360\) −0.277197 + 0.286888i −0.0146095 + 0.0151203i
\(361\) −4.15750 2.40033i −0.218816 0.126333i
\(362\) −2.72027 10.1522i −0.142974 0.533587i
\(363\) 5.90289 7.83117i 0.309821 0.411030i
\(364\) 3.49551 + 0.883958i 0.183215 + 0.0463320i
\(365\) 0.847754i 0.0443735i
\(366\) −14.1009 5.69939i −0.737067 0.297912i
\(367\) −17.9787 + 31.1401i −0.938483 + 1.62550i −0.170181 + 0.985413i \(0.554435\pi\)
−0.768302 + 0.640087i \(0.778898\pi\)
\(368\) 0.925009 + 1.60216i 0.0482195 + 0.0835185i
\(369\) −8.84287 + 15.9427i −0.460341 + 0.829942i
\(370\) 0.786353 + 0.210703i 0.0408805 + 0.0109539i
\(371\) −9.22266 2.47121i −0.478817 0.128299i
\(372\) 1.18255 + 8.42267i 0.0613126 + 0.436695i
\(373\) −0.439692 0.761569i −0.0227664 0.0394325i 0.854418 0.519587i \(-0.173914\pi\)
−0.877184 + 0.480154i \(0.840581\pi\)
\(374\) −2.30592 + 3.99397i −0.119236 + 0.206523i
\(375\) −0.861562 + 2.13160i −0.0444909 + 0.110075i
\(376\) 1.96524i 0.101350i
\(377\) 16.6070 9.90307i 0.855306 0.510034i
\(378\) 4.85026 + 1.86412i 0.249471 + 0.0958802i
\(379\) −2.11206 7.88232i −0.108489 0.404888i 0.890228 0.455515i \(-0.150545\pi\)
−0.998718 + 0.0506269i \(0.983878\pi\)
\(380\) 0.433947 + 0.250540i 0.0222610 + 0.0128524i
\(381\) −17.6996 2.17569i −0.906777 0.111464i
\(382\) −10.7403 + 10.7403i −0.549523 + 0.549523i
\(383\) −5.56684 + 20.7757i −0.284452 + 1.06159i 0.664786 + 0.747033i \(0.268523\pi\)
−0.949239 + 0.314557i \(0.898144\pi\)
\(384\) −1.06617 1.36502i −0.0544078 0.0696584i
\(385\) 0.217245 + 0.217245i 0.0110719 + 0.0110719i
\(386\) 14.3045 8.25870i 0.728079 0.420357i
\(387\) −5.51478 + 22.0928i −0.280332 + 1.12304i
\(388\) 0.719389 0.192760i 0.0365215 0.00978590i
\(389\) −24.4700 −1.24068 −0.620339 0.784334i \(-0.713005\pi\)
−0.620339 + 0.784334i \(0.713005\pi\)
\(390\) −0.490452 + 0.670131i −0.0248350 + 0.0339334i
\(391\) −3.69281 −0.186753
\(392\) −0.965926 + 0.258819i −0.0487866 + 0.0130723i
\(393\) −8.77263 20.6749i −0.442520 1.04291i
\(394\) 9.97075 5.75661i 0.502319 0.290014i
\(395\) −0.893526 0.893526i −0.0449582 0.0449582i
\(396\) 6.93028 0.119072i 0.348260 0.00598360i
\(397\) −5.00857 + 18.6922i −0.251373 + 0.938136i 0.718700 + 0.695320i \(0.244738\pi\)
−0.970073 + 0.242815i \(0.921929\pi\)
\(398\) −3.79313 + 3.79313i −0.190133 + 0.190133i
\(399\) 0.796292 6.47796i 0.0398645 0.324303i
\(400\) −4.31481 2.49116i −0.215741 0.124558i
\(401\) −3.56140 13.2913i −0.177848 0.663737i −0.996049 0.0888050i \(-0.971695\pi\)
0.818201 0.574932i \(-0.194971\pi\)
\(402\) 1.02328 + 0.771318i 0.0510367 + 0.0384698i
\(403\) 4.82325 + 17.0355i 0.240263 + 0.848600i
\(404\) 11.2575i 0.560083i
\(405\) −0.816682 + 0.874824i −0.0405812 + 0.0434703i
\(406\) −2.68136 + 4.64426i −0.133074 + 0.230491i
\(407\) −7.07237 12.2497i −0.350564 0.607195i
\(408\) 3.42375 0.480699i 0.169501 0.0237982i
\(409\) 17.7765 + 4.76321i 0.878994 + 0.235526i 0.669973 0.742386i \(-0.266306\pi\)
0.209021 + 0.977911i \(0.432972\pi\)
\(410\) 0.780553 + 0.209149i 0.0385488 + 0.0103291i
\(411\) −36.6933 + 5.15179i −1.80995 + 0.254119i
\(412\) 3.18163 + 5.51075i 0.156748 + 0.271495i
\(413\) −1.88315 + 3.26171i −0.0926636 + 0.160498i
\(414\) 2.85719 + 4.75811i 0.140423 + 0.233848i
\(415\) 0.922450i 0.0452813i
\(416\) −2.58522 2.51329i −0.126751 0.123224i
\(417\) −19.2074 14.4779i −0.940591 0.708988i
\(418\) −2.25332 8.40952i −0.110214 0.411323i
\(419\) 14.2719 + 8.23988i 0.697227 + 0.402544i 0.806314 0.591488i \(-0.201459\pi\)
−0.109087 + 0.994032i \(0.534793\pi\)
\(420\) 0.0281003 0.228600i 0.00137115 0.0111545i
\(421\) −0.951204 + 0.951204i −0.0463589 + 0.0463589i −0.729906 0.683547i \(-0.760436\pi\)
0.683547 + 0.729906i \(0.260436\pi\)
\(422\) 5.13475 19.1632i 0.249956 0.932848i
\(423\) −0.101282 5.89486i −0.00492450 0.286618i
\(424\) 6.75146 + 6.75146i 0.327880 + 0.327880i
\(425\) 8.61276 4.97258i 0.417780 0.241206i
\(426\) 7.22526 + 17.0281i 0.350065 + 0.825015i
\(427\) 8.48182 2.27270i 0.410464 0.109984i
\(428\) 9.96492 0.481673
\(429\) 14.2588 2.20751i 0.688420 0.106580i
\(430\) 1.00932 0.0486736
\(431\) 26.5860 7.12369i 1.28060 0.343136i 0.446518 0.894775i \(-0.352664\pi\)
0.834083 + 0.551639i \(0.185997\pi\)
\(432\) −3.26839 4.03951i −0.157250 0.194351i
\(433\) −21.6733 + 12.5131i −1.04155 + 0.601341i −0.920273 0.391277i \(-0.872033\pi\)
−0.121281 + 0.992618i \(0.538700\pi\)
\(434\) −3.47227 3.47227i −0.166674 0.166674i
\(435\) −0.760299 0.973413i −0.0364535 0.0466716i
\(436\) 1.86530 6.96139i 0.0893316 0.333390i
\(437\) 4.92941 4.92941i 0.235806 0.235806i
\(438\) 10.9598 + 1.34721i 0.523678 + 0.0643723i
\(439\) 18.4804 + 10.6697i 0.882022 + 0.509236i 0.871325 0.490707i \(-0.163262\pi\)
0.0106973 + 0.999943i \(0.496595\pi\)
\(440\) −0.0795174 0.296763i −0.00379084 0.0141476i
\(441\) −2.88401 + 0.826123i −0.137334 + 0.0393392i
\(442\) 6.92480 1.96061i 0.329379 0.0932569i
\(443\) 10.6521i 0.506097i −0.967454 0.253048i \(-0.918567\pi\)
0.967454 0.253048i \(-0.0814332\pi\)
\(444\) −3.97360 + 9.83114i −0.188579 + 0.466565i
\(445\) −0.613544 + 1.06269i −0.0290848 + 0.0503763i
\(446\) −8.72419 15.1107i −0.413102 0.715514i
\(447\) 4.40205 + 31.3533i 0.208210 + 1.48296i
\(448\) 0.965926 + 0.258819i 0.0456357 + 0.0122281i
\(449\) −4.16068 1.11485i −0.196355 0.0526131i 0.159301 0.987230i \(-0.449076\pi\)
−0.355656 + 0.934617i \(0.615743\pi\)
\(450\) −13.0709 7.25000i −0.616169 0.341768i
\(451\) −7.02021 12.1594i −0.330569 0.572562i
\(452\) 2.38961 4.13893i 0.112398 0.194679i
\(453\) 38.1126 + 15.4046i 1.79069 + 0.723769i
\(454\) 11.0952i 0.520723i
\(455\) −0.00676416 0.479403i −0.000317109 0.0224748i
\(456\) −3.92859 + 5.21193i −0.183973 + 0.244071i
\(457\) −2.67909 9.99849i −0.125322 0.467710i 0.874529 0.484974i \(-0.161171\pi\)
−0.999851 + 0.0172644i \(0.994504\pi\)
\(458\) 3.41468 + 1.97147i 0.159557 + 0.0921206i
\(459\) 10.2450 1.61833i 0.478194 0.0755373i
\(460\) 0.173954 0.173954i 0.00811063 0.00811063i
\(461\) −5.24678 + 19.5813i −0.244367 + 0.911990i 0.729333 + 0.684158i \(0.239830\pi\)
−0.973701 + 0.227832i \(0.926836\pi\)
\(462\) −3.15379 + 2.46332i −0.146728 + 0.114604i
\(463\) 14.6944 + 14.6944i 0.682905 + 0.682905i 0.960654 0.277749i \(-0.0895883\pi\)
−0.277749 + 0.960654i \(0.589588\pi\)
\(464\) 4.64426 2.68136i 0.215604 0.124479i
\(465\) 1.04115 0.441773i 0.0482821 0.0204867i
\(466\) −0.451816 + 0.121064i −0.0209300 + 0.00560817i
\(467\) −23.3690 −1.08139 −0.540694 0.841219i \(-0.681838\pi\)
−0.540694 + 0.841219i \(0.681838\pi\)
\(468\) −7.88406 7.40551i −0.364441 0.342320i
\(469\) −0.739828 −0.0341621
\(470\) −0.252425 + 0.0676371i −0.0116435 + 0.00311986i
\(471\) 18.7015 7.93528i 0.861718 0.365638i
\(472\) 3.26171 1.88315i 0.150132 0.0866789i
\(473\) −12.4003 12.4003i −0.570168 0.570168i
\(474\) 12.9715 10.1316i 0.595799 0.465358i
\(475\) −4.85916 + 18.1346i −0.222954 + 0.832075i
\(476\) −1.41145 + 1.41145i −0.0646937 + 0.0646937i
\(477\) 20.5993 + 19.9034i 0.943179 + 0.911316i
\(478\) 15.5195 + 8.96017i 0.709844 + 0.409828i
\(479\) 2.80164 + 10.4559i 0.128010 + 0.477741i 0.999929 0.0119096i \(-0.00379104\pi\)
−0.871919 + 0.489650i \(0.837124\pi\)
\(480\) −0.138636 + 0.183923i −0.00632782 + 0.00839491i
\(481\) −5.41169 + 21.3999i −0.246752 + 0.975753i
\(482\) 20.2722i 0.923371i
\(483\) −2.97084 1.20077i −0.135178 0.0546369i
\(484\) 2.83095 4.90335i 0.128680 0.222879i
\(485\) −0.0495179 0.0857676i −0.00224849 0.00389451i
\(486\) −10.0119 11.9483i −0.454149 0.541986i
\(487\) −6.31856 1.69305i −0.286321 0.0767196i 0.112800 0.993618i \(-0.464018\pi\)
−0.399121 + 0.916898i \(0.630685\pi\)
\(488\) −8.48182 2.27270i −0.383954 0.102880i
\(489\) 2.66385 + 18.9731i 0.120463 + 0.857993i
\(490\) 0.0664879 + 0.115160i 0.00300362 + 0.00520241i
\(491\) −5.42530 + 9.39689i −0.244840 + 0.424076i −0.962087 0.272744i \(-0.912069\pi\)
0.717246 + 0.696820i \(0.245402\pi\)
\(492\) −3.94430 + 9.75863i −0.177823 + 0.439953i
\(493\) 10.7045i 0.482106i
\(494\) −6.62654 + 11.8609i −0.298142 + 0.533646i
\(495\) −0.253811 0.886059i −0.0114080 0.0398254i
\(496\) 1.27094 + 4.74321i 0.0570668 + 0.212976i
\(497\) −9.24880 5.33980i −0.414865 0.239523i
\(498\) −11.9254 1.46592i −0.534392 0.0656892i
\(499\) −9.05648 + 9.05648i −0.405424 + 0.405424i −0.880139 0.474715i \(-0.842551\pi\)
0.474715 + 0.880139i \(0.342551\pi\)
\(500\) −0.343558 + 1.28218i −0.0153644 + 0.0573406i
\(501\) −14.1099 18.0649i −0.630384 0.807082i
\(502\) −9.68315 9.68315i −0.432180 0.432180i
\(503\) −31.4832 + 18.1768i −1.40377 + 0.810466i −0.994777 0.102073i \(-0.967453\pi\)
−0.408991 + 0.912539i \(0.634119\pi\)
\(504\) 2.91069 + 0.726562i 0.129652 + 0.0323636i
\(505\) 1.44597 0.387446i 0.0643448 0.0172411i
\(506\) −4.27435 −0.190018
\(507\) −18.3560 13.0406i −0.815218 0.579155i
\(508\) −10.2958 −0.456801
\(509\) 19.9789 5.35334i 0.885551 0.237283i 0.212750 0.977107i \(-0.431758\pi\)
0.672800 + 0.739824i \(0.265091\pi\)
\(510\) −0.179577 0.423218i −0.00795181 0.0187404i
\(511\) −5.52113 + 3.18763i −0.244241 + 0.141012i
\(512\) −0.707107 0.707107i −0.0312500 0.0312500i
\(513\) −11.5154 + 15.8359i −0.508418 + 0.699174i
\(514\) 6.98295 26.0607i 0.308005 1.14949i
\(515\) 0.598325 0.598325i 0.0263653 0.0263653i
\(516\) −1.60396 + 13.0485i −0.0706104 + 0.574426i
\(517\) 3.93224 + 2.27028i 0.172940 + 0.0998468i
\(518\) −1.58452 5.91351i −0.0696198 0.259825i
\(519\) −30.0225 22.6301i −1.31784 0.993349i
\(520\) −0.233844 + 0.418557i −0.0102547 + 0.0183550i
\(521\) 34.1326i 1.49538i 0.664050 + 0.747689i \(0.268836\pi\)
−0.664050 + 0.747689i \(0.731164\pi\)
\(522\) 13.7925 8.28225i 0.603682 0.362504i
\(523\) 2.76001 4.78048i 0.120687 0.209036i −0.799352 0.600863i \(-0.794824\pi\)
0.920039 + 0.391827i \(0.128157\pi\)
\(524\) −6.48337 11.2295i −0.283227 0.490564i
\(525\) 8.54581 1.19984i 0.372970 0.0523654i
\(526\) 23.0161 + 6.16715i 1.00355 + 0.268901i
\(527\) −9.46787 2.53691i −0.412427 0.110509i
\(528\) 3.96292 0.556399i 0.172464 0.0242142i
\(529\) 9.78871 + 16.9546i 0.425596 + 0.737154i
\(530\) 0.634826 1.09955i 0.0275751 0.0477615i
\(531\) 9.68663 5.81671i 0.420364 0.252424i
\(532\) 3.76820i 0.163372i
\(533\) −5.37178 + 21.2421i −0.232678 + 0.920098i
\(534\) −12.7634 9.62068i −0.552328 0.416328i
\(535\) −0.342959 1.27994i −0.0148274 0.0553367i
\(536\) 0.640710 + 0.369914i 0.0276745 + 0.0159779i
\(537\) −2.34511 + 19.0779i −0.101199 + 0.823270i
\(538\) 16.2881 16.2881i 0.702230 0.702230i
\(539\) 0.597984 2.23171i 0.0257570 0.0961264i
\(540\) −0.406367 + 0.558833i −0.0174872 + 0.0240484i
\(541\) −26.6706 26.6706i −1.14666 1.14666i −0.987205 0.159455i \(-0.949026\pi\)
−0.159455 0.987205i \(-0.550974\pi\)
\(542\) −9.73450 + 5.62022i −0.418133 + 0.241409i
\(543\) −7.11073 16.7582i −0.305151 0.719164i
\(544\) 1.92808 0.516626i 0.0826656 0.0221502i
\(545\) −0.958351 −0.0410512
\(546\) 6.20848 + 0.674399i 0.265698 + 0.0288616i
\(547\) −27.2994 −1.16724 −0.583618 0.812028i \(-0.698364\pi\)
−0.583618 + 0.812028i \(0.698364\pi\)
\(548\) −20.6637 + 5.53683i −0.882711 + 0.236522i
\(549\) −25.5588 6.37996i −1.09082 0.272290i
\(550\) 9.96909 5.75566i 0.425083 0.245422i
\(551\) −14.2891 14.2891i −0.608736 0.608736i
\(552\) 1.97244 + 2.52531i 0.0839524 + 0.107484i
\(553\) −2.45950 + 9.17897i −0.104588 + 0.390329i
\(554\) −2.66219 + 2.66219i −0.113106 + 0.113106i
\(555\) 1.39952 + 0.172033i 0.0594061 + 0.00730240i
\(556\) −12.0264 6.94343i −0.510032 0.294467i
\(557\) 2.23128 + 8.32725i 0.0945423 + 0.352837i 0.996950 0.0780472i \(-0.0248685\pi\)
−0.902407 + 0.430884i \(0.858202\pi\)
\(558\) 4.05670 + 14.1620i 0.171734 + 0.599526i
\(559\) 0.386097 + 27.3643i 0.0163302 + 1.15738i
\(560\) 0.132976i 0.00561925i
\(561\) −2.99335 + 7.40587i −0.126379 + 0.312676i
\(562\) 2.12505 3.68069i 0.0896398 0.155261i
\(563\) −8.19595 14.1958i −0.345418 0.598282i 0.640012 0.768365i \(-0.278930\pi\)
−0.985430 + 0.170084i \(0.945596\pi\)
\(564\) −0.473270 3.37084i −0.0199283 0.141938i
\(565\) −0.613866 0.164485i −0.0258255 0.00691993i
\(566\) 22.3218 + 5.98110i 0.938253 + 0.251404i
\(567\) 8.76822 + 2.02936i 0.368231 + 0.0852250i
\(568\) 5.33980 + 9.24880i 0.224053 + 0.388071i
\(569\) −10.8296 + 18.7574i −0.454001 + 0.786353i −0.998630 0.0523243i \(-0.983337\pi\)
0.544629 + 0.838677i \(0.316670\pi\)
\(570\) 0.804653 + 0.325229i 0.0337032 + 0.0136223i
\(571\) 25.3189i 1.05956i −0.848134 0.529782i \(-0.822274\pi\)
0.848134 0.529782i \(-0.177726\pi\)
\(572\) 8.01532 2.26937i 0.335137 0.0948871i
\(573\) −15.8356 + 21.0086i −0.661543 + 0.877647i
\(574\) −1.57283 5.86989i −0.0656488 0.245005i
\(575\) 7.98249 + 4.60869i 0.332893 + 0.192196i
\(576\) −2.15745 2.08457i −0.0898937 0.0868569i
\(577\) −31.8891 + 31.8891i −1.32756 + 1.32756i −0.420064 + 0.907494i \(0.637992\pi\)
−0.907494 + 0.420064i \(0.862008\pi\)
\(578\) 3.36869 12.5721i 0.140119 0.522931i
\(579\) 22.5466 17.6104i 0.937004 0.731862i
\(580\) −0.504246 0.504246i −0.0209377 0.0209377i
\(581\) 6.00760 3.46849i 0.249237 0.143897i
\(582\) 1.18750 0.503870i 0.0492233 0.0208861i
\(583\) −21.3084 + 5.70956i −0.882502 + 0.236466i
\(584\) 6.37525 0.263810
\(585\) −0.679856 + 1.26754i −0.0281086 + 0.0524062i
\(586\) 5.67731 0.234528
\(587\) −36.3306 + 9.73477i −1.49953 + 0.401797i −0.912941 0.408091i \(-0.866195\pi\)
−0.586585 + 0.809888i \(0.699528\pi\)
\(588\) −1.59445 + 0.676548i −0.0657542 + 0.0279004i
\(589\) 16.0248 9.25193i 0.660291 0.381219i
\(590\) −0.354137 0.354137i −0.0145796 0.0145796i
\(591\) 15.7158 12.2751i 0.646461 0.504929i
\(592\) −1.58452 + 5.91351i −0.0651234 + 0.243044i
\(593\) −22.0151 + 22.0151i −0.904052 + 0.904052i −0.995784 0.0917316i \(-0.970760\pi\)
0.0917316 + 0.995784i \(0.470760\pi\)
\(594\) 11.8583 1.87319i 0.486553 0.0768578i
\(595\) 0.229871 + 0.132716i 0.00942377 + 0.00544082i
\(596\) 4.73105 + 17.6565i 0.193791 + 0.723240i
\(597\) −5.59262 + 7.41955i −0.228891 + 0.303662i
\(598\) 4.78272 + 4.64963i 0.195580 + 0.190137i
\(599\) 7.46075i 0.304838i 0.988316 + 0.152419i \(0.0487063\pi\)
−0.988316 + 0.152419i \(0.951294\pi\)
\(600\) −8.00081 3.23381i −0.326632 0.132020i
\(601\) 10.6000 18.3598i 0.432385 0.748912i −0.564693 0.825301i \(-0.691006\pi\)
0.997078 + 0.0763885i \(0.0243389\pi\)
\(602\) −3.79512 6.57334i −0.154677 0.267909i
\(603\) 1.94091 + 1.07656i 0.0790400 + 0.0438409i
\(604\) 22.9250 + 6.14275i 0.932807 + 0.249945i
\(605\) −0.727241 0.194864i −0.0295665 0.00792233i
\(606\) 2.71104 + 19.3092i 0.110129 + 0.784384i
\(607\) −10.5914 18.3448i −0.429890 0.744592i 0.566973 0.823736i \(-0.308114\pi\)
−0.996863 + 0.0791447i \(0.974781\pi\)
\(608\) −1.88410 + 3.26336i −0.0764103 + 0.132347i
\(609\) −3.48072 + 8.61168i −0.141046 + 0.348963i
\(610\) 1.16766i 0.0472773i
\(611\) −1.93031 6.81779i −0.0780921 0.275818i
\(612\) 5.75675 1.64902i 0.232703 0.0666576i
\(613\) −10.2232 38.1536i −0.412912 1.54101i −0.788981 0.614417i \(-0.789391\pi\)
0.376069 0.926592i \(-0.377275\pi\)
\(614\) −5.08980 2.93860i −0.205408 0.118592i
\(615\) 1.38919 + 0.170764i 0.0560177 + 0.00688589i
\(616\) −1.63372 + 1.63372i −0.0658246 + 0.0658246i
\(617\) −7.32156 + 27.3244i −0.294755 + 1.10004i 0.646657 + 0.762781i \(0.276167\pi\)
−0.941412 + 0.337259i \(0.890500\pi\)
\(618\) 6.78432 + 8.68598i 0.272905 + 0.349401i
\(619\) 27.9573 + 27.9573i 1.12370 + 1.12370i 0.991181 + 0.132517i \(0.0423060\pi\)
0.132517 + 0.991181i \(0.457694\pi\)
\(620\) 0.565498 0.326491i 0.0227110 0.0131122i
\(621\) 6.04658 + 7.47317i 0.242641 + 0.299888i
\(622\) 12.0451 3.22748i 0.482965 0.129410i
\(623\) 9.22791 0.369709
\(624\) −5.03950 3.68828i −0.201741 0.147650i
\(625\) −24.7351 −0.989403
\(626\) 21.4730 5.75368i 0.858234 0.229963i
\(627\) −5.89015 13.8816i −0.235230 0.554377i
\(628\) 10.1577 5.86454i 0.405335 0.234020i
\(629\) −8.64105 8.64105i −0.344541 0.344541i
\(630\) −0.00685313 0.398868i −0.000273035 0.0158913i
\(631\) −7.25400 + 27.0723i −0.288777 + 1.07773i 0.657258 + 0.753666i \(0.271716\pi\)
−0.946035 + 0.324065i \(0.894950\pi\)
\(632\) 6.71947 6.71947i 0.267286 0.267286i
\(633\) 4.19239 34.1057i 0.166633 1.35558i
\(634\) −24.1499 13.9430i −0.959116 0.553746i
\(635\) 0.354346 + 1.32244i 0.0140618 + 0.0524793i
\(636\) 13.2062 + 9.95440i 0.523659 + 0.394718i
\(637\) −3.09675 + 1.84665i −0.122698 + 0.0731669i
\(638\) 12.3902i 0.490533i
\(639\) 16.4937 + 27.4671i 0.652480 + 1.08658i
\(640\) −0.0664879 + 0.115160i −0.00262816 + 0.00455211i
\(641\) −0.558744 0.967773i −0.0220691 0.0382247i 0.854780 0.518991i \(-0.173692\pi\)
−0.876849 + 0.480766i \(0.840359\pi\)
\(642\) 17.0921 2.39976i 0.674572 0.0947108i
\(643\) 11.8237 + 3.16816i 0.466283 + 0.124940i 0.484308 0.874897i \(-0.339071\pi\)
−0.0180256 + 0.999838i \(0.505738\pi\)
\(644\) −1.78698 0.478820i −0.0704169 0.0188682i
\(645\) 1.73121 0.243064i 0.0681662 0.00957063i
\(646\) −3.76083 6.51396i −0.147968 0.256288i
\(647\) 14.1352 24.4828i 0.555710 0.962519i −0.442137 0.896947i \(-0.645780\pi\)
0.997848 0.0655715i \(-0.0208870\pi\)
\(648\) −6.57882 6.14159i −0.258441 0.241264i
\(649\) 8.70177i 0.341574i
\(650\) −17.4158 4.40416i −0.683102 0.172745i
\(651\) −6.79192 5.11954i −0.266196 0.200650i
\(652\) 2.86294 + 10.6847i 0.112122 + 0.418443i
\(653\) 12.8646 + 7.42738i 0.503431 + 0.290656i 0.730129 0.683309i \(-0.239460\pi\)
−0.226698 + 0.973965i \(0.572793\pi\)
\(654\) 1.52297 12.3896i 0.0595528 0.484471i
\(655\) −1.21924 + 1.21924i −0.0476395 + 0.0476395i
\(656\) −1.57283 + 5.86989i −0.0614088 + 0.229181i
\(657\) 19.1229 0.328560i 0.746057 0.0128183i
\(658\) 1.38964 + 1.38964i 0.0541737 + 0.0541737i
\(659\) −32.5699 + 18.8042i −1.26874 + 0.732509i −0.974750 0.223298i \(-0.928318\pi\)
−0.293993 + 0.955808i \(0.594984\pi\)
\(660\) −0.207857 0.489866i −0.00809082 0.0190680i
\(661\) −20.0890 + 5.38284i −0.781373 + 0.209368i −0.627390 0.778705i \(-0.715877\pi\)
−0.153983 + 0.988074i \(0.549210\pi\)
\(662\) 13.1405 0.510720
\(663\) 11.4055 5.03053i 0.442951 0.195370i
\(664\) −6.93698 −0.269207
\(665\) −0.484005 + 0.129689i −0.0187689 + 0.00502912i
\(666\) −4.44810 + 17.8196i −0.172360 + 0.690494i
\(667\) −8.59196 + 4.96057i −0.332682 + 0.192074i
\(668\) −9.35798 9.35798i −0.362071 0.362071i
\(669\) −18.6029 23.8174i −0.719231 0.920834i
\(670\) 0.0254624 0.0950270i 0.000983699 0.00367121i
\(671\) 14.3458 14.3458i 0.553812 0.553812i
\(672\) 1.71911 + 0.211319i 0.0663162 + 0.00815181i
\(673\) 16.4871 + 9.51883i 0.635531 + 0.366924i 0.782891 0.622159i \(-0.213744\pi\)
−0.147360 + 0.989083i \(0.547078\pi\)
\(674\) −5.20114 19.4109i −0.200340 0.747681i
\(675\) −24.1655 9.28766i −0.930132 0.357482i
\(676\) −11.4372 6.17978i −0.439894 0.237684i
\(677\) 22.6698i 0.871273i 0.900123 + 0.435636i \(0.143477\pi\)
−0.900123 + 0.435636i \(0.856523\pi\)
\(678\) 3.10199 7.67467i 0.119131 0.294744i
\(679\) −0.372383 + 0.644987i −0.0142908 + 0.0247523i
\(680\) −0.132716 0.229871i −0.00508942 0.00881513i
\(681\) 2.67195 + 19.0308i 0.102389 + 0.729261i
\(682\) −10.9589 2.93642i −0.419637 0.112441i
\(683\) 7.69008 + 2.06055i 0.294253 + 0.0788447i 0.402925 0.915233i \(-0.367993\pi\)
−0.108673 + 0.994078i \(0.534660\pi\)
\(684\) −5.48328 + 9.88573i −0.209659 + 0.377990i
\(685\) 1.42235 + 2.46359i 0.0543453 + 0.0941289i
\(686\) 0.500000 0.866025i 0.0190901 0.0330650i
\(687\) 6.33172 + 2.55919i 0.241570 + 0.0976391i
\(688\) 7.59023i 0.289375i
\(689\) 30.0535 + 16.7906i 1.14495 + 0.639670i
\(690\) 0.256479 0.340262i 0.00976397 0.0129535i
\(691\) −2.18501 8.15456i −0.0831216 0.310214i 0.911830 0.410567i \(-0.134669\pi\)
−0.994952 + 0.100353i \(0.968003\pi\)
\(692\) −18.7981 10.8531i −0.714596 0.412572i
\(693\) −4.81625 + 4.98464i −0.182954 + 0.189351i
\(694\) 3.58425 3.58425i 0.136056 0.136056i
\(695\) −0.477939 + 1.78369i −0.0181293 + 0.0676594i
\(696\) 7.32023 5.71758i 0.277473 0.216724i
\(697\) −8.57732 8.57732i −0.324889 0.324889i
\(698\) −10.6032 + 6.12174i −0.401336 + 0.231711i
\(699\) −0.745813 + 0.316459i −0.0282092 + 0.0119696i
\(700\) 4.81255 1.28952i 0.181897 0.0487392i
\(701\) 33.0384 1.24784 0.623921 0.781487i \(-0.285539\pi\)
0.623921 + 0.781487i \(0.285539\pi\)
\(702\) −15.3063 10.8035i −0.577701 0.407752i
\(703\) 23.0694 0.870077
\(704\) 2.23171 0.597984i 0.0841106 0.0225374i
\(705\) −0.416678 + 0.176802i −0.0156930 + 0.00665875i
\(706\) 14.0801 8.12914i 0.529911 0.305944i
\(707\) −7.96028 7.96028i −0.299377 0.299377i
\(708\) 5.14107 4.01551i 0.193213 0.150912i
\(709\) 6.92283 25.8364i 0.259992 0.970305i −0.705252 0.708957i \(-0.749166\pi\)
0.965245 0.261348i \(-0.0841672\pi\)
\(710\) 1.00418 1.00418i 0.0376862 0.0376862i
\(711\) 19.8091 20.5017i 0.742901 0.768875i
\(712\) −7.99161 4.61396i −0.299498 0.172915i
\(713\) −2.35126 8.77502i −0.0880554 0.328627i
\(714\) −2.08105 + 2.76086i −0.0778814 + 0.103323i
\(715\) −0.567349 0.951421i −0.0212176 0.0355811i
\(716\) 11.0975i 0.414733i
\(717\) 28.7772 + 11.6313i 1.07470 + 0.434380i
\(718\) 16.9111 29.2909i 0.631117 1.09313i
\(719\) 23.4584 + 40.6311i 0.874849 + 1.51528i 0.856923 + 0.515444i \(0.172373\pi\)
0.0179260 + 0.999839i \(0.494294\pi\)
\(720\) −0.193499 + 0.348857i −0.00721129 + 0.0130011i
\(721\) −6.14644 1.64693i −0.228905 0.0613350i
\(722\) −4.63709 1.24250i −0.172575 0.0462412i
\(723\) −4.88195 34.7714i −0.181562 1.29316i
\(724\) −5.25516 9.10220i −0.195306 0.338281i
\(725\) 13.3594 23.1392i 0.496156 0.859367i
\(726\) 3.67490 9.09211i 0.136388 0.337440i
\(727\) 16.9905i 0.630142i −0.949068 0.315071i \(-0.897972\pi\)
0.949068 0.315071i \(-0.102028\pi\)
\(728\) 3.60519 0.0508677i 0.133617 0.00188528i
\(729\) −20.0501 18.0830i −0.742595 0.669740i
\(730\) −0.219415 0.818868i −0.00812091 0.0303076i
\(731\) −13.1210 7.57540i −0.485297 0.280186i
\(732\) −15.0956 1.85560i −0.557948 0.0685849i
\(733\) 15.5164 15.5164i 0.573111 0.573111i −0.359886 0.932996i \(-0.617184\pi\)
0.932996 + 0.359886i \(0.117184\pi\)
\(734\) −9.30648 + 34.7323i −0.343509 + 1.28199i
\(735\) 0.141775 + 0.181515i 0.00522944 + 0.00669527i
\(736\) 1.30816 + 1.30816i 0.0482195 + 0.0482195i
\(737\) −1.48032 + 0.854662i −0.0545282 + 0.0314819i
\(738\) −4.41529 + 17.6881i −0.162529 + 0.651110i
\(739\) −9.30071 + 2.49212i −0.342132 + 0.0916740i −0.425794 0.904820i \(-0.640005\pi\)
0.0836618 + 0.996494i \(0.473338\pi\)
\(740\) 0.814093 0.0299266
\(741\) −8.50969 + 21.9399i −0.312611 + 0.805982i
\(742\) −9.54800 −0.350518
\(743\) 21.9262 5.87511i 0.804395 0.215537i 0.166882 0.985977i \(-0.446630\pi\)
0.637513 + 0.770440i \(0.279963\pi\)
\(744\) 3.32221 + 7.82961i 0.121798 + 0.287047i
\(745\) 2.10506 1.21536i 0.0771234 0.0445272i
\(746\) −0.621818 0.621818i −0.0227664 0.0227664i
\(747\) −20.8079 + 0.357509i −0.761320 + 0.0130806i
\(748\) −1.19363 + 4.45469i −0.0436435 + 0.162880i
\(749\) −7.04626 + 7.04626i −0.257465 + 0.257465i
\(750\) −0.280506 + 2.28196i −0.0102426 + 0.0833253i
\(751\) 28.4852 + 16.4460i 1.03944 + 0.600122i 0.919675 0.392681i \(-0.128452\pi\)
0.119766 + 0.992802i \(0.461786\pi\)
\(752\) −0.508642 1.89828i −0.0185483 0.0692231i
\(753\) −18.9407 14.2769i −0.690238 0.520279i
\(754\) 13.4781 13.8639i 0.490842 0.504892i
\(755\) 3.15601i 0.114859i
\(756\) 5.16746 + 0.545266i 0.187939 + 0.0198311i
\(757\) −3.91984 + 6.78937i −0.142469 + 0.246764i −0.928426 0.371518i \(-0.878837\pi\)
0.785957 + 0.618282i \(0.212171\pi\)
\(758\) −4.08019 7.06710i −0.148199 0.256689i
\(759\) −7.33148 + 1.02935i −0.266116 + 0.0373630i
\(760\) 0.484005 + 0.129689i 0.0175567 + 0.00470431i
\(761\) 14.5174 + 3.88991i 0.526254 + 0.141009i 0.512158 0.858891i \(-0.328846\pi\)
0.0140959 + 0.999901i \(0.495513\pi\)
\(762\) −17.6596 + 2.47943i −0.639739 + 0.0898203i
\(763\) 3.60348 + 6.24141i 0.130455 + 0.225954i
\(764\) −7.59456 + 13.1542i −0.274762 + 0.475901i
\(765\) −0.409935 0.682670i −0.0148212 0.0246820i
\(766\) 21.5086i 0.777138i
\(767\) 9.46578 9.73672i 0.341790 0.351573i
\(768\) −1.38313 1.04256i −0.0499096 0.0376203i
\(769\) 10.2269 + 38.1672i 0.368790 + 1.37634i 0.862209 + 0.506553i \(0.169080\pi\)
−0.493418 + 0.869792i \(0.664253\pi\)
\(770\) 0.266070 + 0.153616i 0.00958851 + 0.00553593i
\(771\) 5.70140 46.3817i 0.205331 1.67040i
\(772\) 11.6796 11.6796i 0.420357 0.420357i
\(773\) −0.325022 + 1.21300i −0.0116902 + 0.0436286i −0.971525 0.236939i \(-0.923856\pi\)