Properties

Label 546.2.bu.b.71.3
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 71.3
Character \(\chi\) \(=\) 546.71
Dual form 546.2.bu.b.323.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.965926 + 0.258819i) q^{2} +(-0.211319 - 1.71911i) q^{3} +(0.866025 - 0.500000i) q^{4} +(0.0940280 + 0.0940280i) q^{5} +(0.649057 + 1.60584i) q^{6} +(-0.258819 + 0.965926i) q^{7} +(-0.707107 + 0.707107i) q^{8} +(-2.91069 + 0.726562i) q^{9} +O(q^{10})\) \(q+(-0.965926 + 0.258819i) q^{2} +(-0.211319 - 1.71911i) q^{3} +(0.866025 - 0.500000i) q^{4} +(0.0940280 + 0.0940280i) q^{5} +(0.649057 + 1.60584i) q^{6} +(-0.258819 + 0.965926i) q^{7} +(-0.707107 + 0.707107i) q^{8} +(-2.91069 + 0.726562i) 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} +(0.141775 - 0.181515i) q^{15} +(0.500000 - 0.866025i) q^{16} +(-0.998045 - 1.72867i) q^{17} +(2.62346 - 1.45515i) q^{18} +(-3.63980 - 0.975282i) q^{19} +(0.128445 + 0.0344166i) q^{20} +(1.71523 + 0.240820i) q^{21} +(1.15522 + 2.00089i) q^{22} +(0.925009 - 1.60216i) q^{23} +(1.36502 + 1.06617i) 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} +(-0.0899645 + 0.212024i) q^{30} +(-3.47227 + 3.47227i) q^{31} +(-0.258819 + 0.965926i) q^{32} +(-3.71019 + 1.49960i) q^{33} +(1.41145 + 1.41145i) q^{34} +(-0.115160 + 0.0664879i) q^{35} +(-2.15745 + 2.08457i) q^{36} +(-5.91351 + 1.58452i) q^{37} +3.76820 q^{38} +(-5.78273 - 2.35798i) q^{39} -0.132976 q^{40} +(5.86989 - 1.57283i) q^{41} +(-1.71911 + 0.211319i) q^{42} +(-6.57334 + 3.79512i) q^{43} +(-1.63372 - 1.63372i) q^{44} +(-0.342003 - 0.205369i) q^{45} +(-0.478820 + 1.78698i) q^{46} +(-1.38964 + 1.38964i) q^{47} +(-1.59445 - 0.676548i) 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} +(-3.05595 - 4.20252i) q^{54} +(0.153616 - 0.266070i) q^{55} +(-0.500000 - 0.866025i) q^{56} +(-0.907459 + 6.46332i) q^{57} +(5.17999 + 1.38798i) q^{58} +(-3.63796 - 0.974789i) q^{59} +(0.0320232 - 0.228084i) q^{60} +(-4.39051 - 7.60459i) q^{61} +(2.45526 - 4.25264i) q^{62} +(0.0515367 - 2.99956i) 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} +(-2.94977 - 1.25163i) q^{69} +(0.0940280 - 0.0940280i) q^{70} +(2.76408 - 10.3157i) q^{71} +(1.54441 - 2.57192i) q^{72} +(4.50799 + 4.50799i) q^{73} +(5.30191 - 3.06106i) q^{74} +(-8.56516 + 1.05286i) q^{75} +(-3.63980 + 0.975282i) q^{76} +2.31043 q^{77} +(6.19598 + 0.780954i) q^{78} +9.50277 q^{79} +(0.128445 - 0.0344166i) q^{80} +(7.94422 - 4.22959i) q^{81} +(-5.26280 + 3.03848i) q^{82} +(4.90518 + 4.90518i) q^{83} +(1.60584 - 0.649057i) q^{84} +(0.0686988 - 0.256387i) q^{85} +(5.36711 - 5.36711i) q^{86} +(-3.62814 + 8.55062i) 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} +(6.70297 + 5.23546i) q^{93} +(0.982621 - 1.70195i) q^{94} +(-0.250540 - 0.433947i) q^{95} +(1.71523 + 0.240820i) q^{96} +(0.719389 + 0.192760i) q^{97} +(0.965926 + 0.258819i) q^{98} +(3.36202 + 6.06133i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 56q + 8q^{6} - 24q^{9} + O(q^{10}) \) \( 56q + 8q^{6} - 24q^{9} + 24q^{10} + 8q^{11} + 24q^{13} + 4q^{15} + 28q^{16} - 4q^{17} - 8q^{18} + 8q^{19} + 4q^{21} - 8q^{23} - 8q^{24} - 4q^{26} - 24q^{27} - 8q^{30} - 8q^{31} + 8q^{33} - 24q^{34} + 24q^{35} - 12q^{36} - 8q^{37} - 20q^{39} - 28q^{41} + 8q^{44} + 72q^{45} - 20q^{46} + 64q^{50} + 16q^{54} + 8q^{55} - 28q^{56} + 4q^{58} - 8q^{59} + 20q^{60} + 8q^{61} - 32q^{62} - 16q^{63} - 24q^{65} + 32q^{66} - 16q^{69} - 112q^{71} + 8q^{73} + 48q^{74} + 40q^{75} + 8q^{76} + 16q^{79} + 12q^{81} - 4q^{83} - 4q^{84} + 32q^{85} - 16q^{86} - 144q^{87} + 88q^{89} - 8q^{90} - 8q^{91} + 52q^{93} - 8q^{94} - 48q^{95} + 4q^{96} - 64q^{97} + 56q^{99} + O(q^{100}) \)

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
\(3\) −0.211319 1.71911i −0.122005 0.992529i
\(4\) 0.866025 0.500000i 0.433013 0.250000i
\(5\) 0.0940280 + 0.0940280i 0.0420506 + 0.0420506i 0.727819 0.685769i \(-0.240534\pi\)
−0.685769 + 0.727819i \(0.740534\pi\)
\(6\) 0.649057 + 1.60584i 0.264977 + 0.655582i
\(7\) −0.258819 + 0.965926i −0.0978244 + 0.365086i
\(8\) −0.707107 + 0.707107i −0.250000 + 0.250000i
\(9\) −2.91069 + 0.726562i −0.970230 + 0.242187i
\(10\) −0.115160 0.0664879i −0.0364169 0.0210253i
\(11\) −0.597984 2.23171i −0.180299 0.672885i −0.995588 0.0938310i \(-0.970089\pi\)
0.815289 0.579054i \(-0.196578\pi\)
\(12\) −1.04256 1.38313i −0.300962 0.399277i
\(13\) 1.75854 3.14762i 0.487732 0.872993i
\(14\) 1.00000i 0.267261i
\(15\) 0.141775 0.181515i 0.0366061 0.0468669i
\(16\) 0.500000 0.866025i 0.125000 0.216506i
\(17\) −0.998045 1.72867i −0.242062 0.419263i 0.719240 0.694762i \(-0.244490\pi\)
−0.961301 + 0.275499i \(0.911157\pi\)
\(18\) 2.62346 1.45515i 0.618356 0.342981i
\(19\) −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
\(21\) 1.71523 + 0.240820i 0.374293 + 0.0525513i
\(22\) 1.15522 + 2.00089i 0.246293 + 0.426592i
\(23\) 0.925009 1.60216i 0.192878 0.334074i −0.753325 0.657648i \(-0.771551\pi\)
0.946203 + 0.323574i \(0.104885\pi\)
\(24\) 1.36502 + 1.06617i 0.278634 + 0.217631i
\(25\) 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 0.00240413 0.999997i \(-0.499235\pi\)
−0.864821 + 0.502081i \(0.832568\pi\)
\(30\) −0.0899645 + 0.212024i −0.0164252 + 0.0387100i
\(31\) −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
\(33\) −3.71019 + 1.49960i −0.645861 + 0.261047i
\(34\) 1.41145 + 1.41145i 0.242062 + 0.242062i
\(35\) −0.115160 + 0.0664879i −0.0194657 + 0.0112385i
\(36\) −2.15745 + 2.08457i −0.359575 + 0.347428i
\(37\) −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
\(39\) −5.78273 2.35798i −0.925977 0.377579i
\(40\) −0.132976 −0.0210253
\(41\) 5.86989 1.57283i 0.916724 0.245635i 0.230539 0.973063i \(-0.425951\pi\)
0.686184 + 0.727428i \(0.259284\pi\)
\(42\) −1.71911 + 0.211319i −0.265265 + 0.0326072i
\(43\) −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
\(45\) −0.342003 0.205369i −0.0509829 0.0306146i
\(46\) −0.478820 + 1.78698i −0.0705982 + 0.263476i
\(47\) −1.38964 + 1.38964i −0.202699 + 0.202699i −0.801156 0.598456i \(-0.795781\pi\)
0.598456 + 0.801156i \(0.295781\pi\)
\(48\) −1.59445 0.676548i −0.230140 0.0976513i
\(49\) −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 \(-0.772348\pi\)
0.754970 0.655760i \(-0.227652\pi\)
\(54\) −3.05595 4.20252i −0.415862 0.571891i
\(55\) 0.153616 0.266070i 0.0207135 0.0358769i
\(56\) −0.500000 0.866025i −0.0668153 0.115728i
\(57\) −0.907459 + 6.46332i −0.120196 + 0.856088i
\(58\) 5.17999 + 1.38798i 0.680167 + 0.182250i
\(59\) −3.63796 0.974789i −0.473622 0.126907i 0.0141091 0.999900i \(-0.495509\pi\)
−0.487731 + 0.872994i \(0.662175\pi\)
\(60\) 0.0320232 0.228084i 0.00413418 0.0294455i
\(61\) −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
\(63\) 0.0515367 2.99956i 0.00649301 0.377909i
\(64\) 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
\(69\) −2.94977 1.25163i −0.355111 0.150678i
\(70\) 0.0940280 0.0940280i 0.0112385 0.0112385i
\(71\) 2.76408 10.3157i 0.328036 1.22425i −0.583188 0.812337i \(-0.698195\pi\)
0.911224 0.411911i \(-0.135138\pi\)
\(72\) 1.54441 2.57192i 0.182011 0.303104i
\(73\) 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
\(75\) −8.56516 + 1.05286i −0.989019 + 0.121574i
\(76\) −3.63980 + 0.975282i −0.417514 + 0.111873i
\(77\) 2.31043 0.263298
\(78\) 6.19598 + 0.780954i 0.701556 + 0.0884256i
\(79\) 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
\(81\) 7.94422 4.22959i 0.882691 0.469955i
\(82\) −5.26280 + 3.03848i −0.581179 + 0.335544i
\(83\) 4.90518 + 4.90518i 0.538414 + 0.538414i 0.923063 0.384649i \(-0.125678\pi\)
−0.384649 + 0.923063i \(0.625678\pi\)
\(84\) 1.60584 0.649057i 0.175212 0.0708180i
\(85\) 0.0686988 0.256387i 0.00745143 0.0278091i
\(86\) 5.36711 5.36711i 0.578750 0.578750i
\(87\) −3.62814 + 8.55062i −0.388978 + 0.916722i
\(88\) 2.00089 + 1.15522i 0.213296 + 0.123147i
\(89\) 2.38836 + 8.91348i 0.253166 + 0.944827i 0.969102 + 0.246661i \(0.0793335\pi\)
−0.715936 + 0.698166i \(0.754000\pi\)
\(90\) 0.383503 + 0.109854i 0.0404248 + 0.0115797i
\(91\) 2.58522 + 2.51329i 0.271005 + 0.263464i
\(92\) 1.85002i 0.192878i
\(93\) 6.70297 + 5.23546i 0.695066 + 0.542892i
\(94\) 0.982621 1.70195i 0.101350 0.175543i
\(95\) −0.250540 0.433947i −0.0257048 0.0445220i
\(96\) 1.71523 + 0.240820i 0.175060 + 0.0245786i
\(97\) 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
\(99\) 3.36202 + 6.06133i 0.337896 + 0.609187i
\(100\) −2.49116 4.31481i −0.249116 0.431481i
\(101\) 5.62877 9.74931i 0.560083 0.970092i −0.437405 0.899264i \(-0.644103\pi\)
0.997489 0.0708280i \(-0.0225641\pi\)
\(102\) 2.12817 2.72470i 0.210721 0.269786i
\(103\) 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 0.0210348 0.999779i \(-0.493304\pi\)
−0.855316 + 0.518106i \(0.826637\pi\)
\(108\) 4.03951 + 3.26839i 0.388702 + 0.314501i
\(109\) 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
\(111\) 3.97360 + 9.83114i 0.377158 + 0.933131i
\(112\) 0.707107 + 0.707107i 0.0668153 + 0.0668153i
\(113\) −4.13893 + 2.38961i −0.389358 + 0.224796i −0.681882 0.731462i \(-0.738838\pi\)
0.292524 + 0.956258i \(0.405505\pi\)
\(114\) −0.796292 6.47796i −0.0745796 0.606716i
\(115\) 0.237625 0.0636714i 0.0221587 0.00593739i
\(116\) −5.36273 −0.497917
\(117\) −2.83163 + 10.4394i −0.261784 + 0.965126i
\(118\) 3.76629 0.346716
\(119\) 1.92808 0.516626i 0.176746 0.0473591i
\(120\) 0.0281003 + 0.228600i 0.00256519 + 0.0208682i
\(121\) 4.90335 2.83095i 0.445759 0.257359i
\(122\) 6.20912 + 6.20912i 0.562148 + 0.562148i
\(123\) −3.94430 9.75863i −0.355645 0.879906i
\(124\) −1.27094 + 4.74321i −0.114134 + 0.425953i
\(125\) 0.938618 0.938618i 0.0839525 0.0839525i
\(126\) 0.726562 + 2.91069i 0.0647273 + 0.259305i
\(127\) −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 \(0.191685\pi\)
−0.824093 + 0.566455i \(0.808315\pi\)
\(132\) −2.46332 + 3.15379i −0.214404 + 0.274502i
\(133\) 1.88410 3.26336i 0.163372 0.282969i
\(134\) −0.369914 0.640710i −0.0319557 0.0553489i
\(135\) −0.280781 + 0.631341i −0.0241657 + 0.0543371i
\(136\) 1.92808 + 0.516626i 0.165331 + 0.0443003i
\(137\) 20.6637 + 5.53683i 1.76542 + 0.473043i 0.987805 0.155695i \(-0.0497616\pi\)
0.777617 + 0.628738i \(0.216428\pi\)
\(138\) 3.17320 + 0.445522i 0.270121 + 0.0379254i
\(139\) −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
\(141\) 2.68260 + 2.09528i 0.225915 + 0.176455i
\(142\) 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
\(147\) −0.676548 + 1.59445i −0.0558007 + 0.131508i
\(148\) −4.32899 + 4.32899i −0.355841 + 0.355841i
\(149\) 4.73105 17.6565i 0.387583 1.44648i −0.446472 0.894798i \(-0.647320\pi\)
0.834055 0.551681i \(-0.186014\pi\)
\(150\) 8.00081 3.23381i 0.653263 0.264039i
\(151\) 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
\(153\) 4.16098 + 4.30646i 0.336395 + 0.348157i
\(154\) −2.23171 + 0.597984i −0.179836 + 0.0481869i
\(155\) −0.652981 −0.0524487
\(156\) −6.18698 + 0.849293i −0.495355 + 0.0679979i
\(157\) 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
\(159\) −16.4141 + 2.01768i −1.30172 + 0.160012i
\(160\) −0.115160 + 0.0664879i −0.00910422 + 0.00525633i
\(161\) 1.30816 + 1.30816i 0.103098 + 0.103098i
\(162\) −6.57882 + 6.14159i −0.516881 + 0.482529i
\(163\) −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
\(165\) −0.489866 0.207857i −0.0381360 0.0161816i
\(166\) −6.00760 3.46849i −0.466280 0.269207i
\(167\) 3.42526 + 12.7832i 0.265055 + 0.989197i 0.962217 + 0.272284i \(0.0877790\pi\)
−0.697162 + 0.716913i \(0.745554\pi\)
\(168\) −1.38313 + 1.04256i −0.106711 + 0.0804355i
\(169\) −6.81505 11.0705i −0.524235 0.851574i
\(170\) 0.265432i 0.0203577i
\(171\) 11.3029 + 0.194201i 0.864357 + 0.0148509i
\(172\) −3.79512 + 6.57334i −0.289375 + 0.501212i
\(173\) 10.8531 + 18.7981i 0.825144 + 1.42919i 0.901809 + 0.432135i \(0.142240\pi\)
−0.0766643 + 0.997057i \(0.524427\pi\)
\(174\) 1.29145 9.19829i 0.0979048 0.697321i
\(175\) 4.81255 + 1.28952i 0.363795 + 0.0974784i
\(176\) −2.23171 0.597984i −0.168221 0.0450748i
\(177\) −0.907000 + 6.46005i −0.0681743 + 0.485567i
\(178\) −4.61396 7.99161i −0.345831 0.598996i
\(179\) 5.54875 9.61072i 0.414733 0.718339i −0.580667 0.814141i \(-0.697208\pi\)
0.995400 + 0.0958020i \(0.0305415\pi\)
\(180\) −0.398868 0.00685313i −0.0297299 0.000510802i
\(181\) 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
\(186\) −7.82961 3.32221i −0.574095 0.243596i
\(187\) −3.26106 + 3.26106i −0.238472 + 0.238472i
\(188\) −0.508642 + 1.89828i −0.0370965 + 0.138446i
\(189\) −5.16746 + 0.545266i −0.375878 + 0.0396623i
\(190\) 0.354316 + 0.354316i 0.0257048 + 0.0257048i
\(191\) 13.1542 7.59456i 0.951803 0.549523i 0.0581621 0.998307i \(-0.481476\pi\)
0.893640 + 0.448784i \(0.148143\pi\)
\(192\) −1.71911 + 0.211319i −0.124066 + 0.0152506i
\(193\) 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
\(195\) −0.322022 0.765455i −0.0230605 0.0548153i
\(196\) −1.00000 −0.0714286
\(197\) −11.1209 + 2.97984i −0.792333 + 0.212305i −0.632215 0.774793i \(-0.717854\pi\)
−0.160118 + 0.987098i \(0.551187\pi\)
\(198\) −4.81625 4.98464i −0.342276 0.354243i
\(199\) −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
\(201\) 1.18805 0.480191i 0.0837983 0.0338701i
\(202\) −2.91366 + 10.8739i −0.205005 + 0.765088i
\(203\) 3.79202 3.79202i 0.266148 0.266148i
\(204\) −1.35045 + 3.18267i −0.0945505 + 0.222832i
\(205\) 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
\(210\) −0.181515 0.141775i −0.0125257 0.00978339i
\(211\) 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
\(213\) −18.3179 2.57186i −1.25512 0.176221i
\(214\) 9.62538 + 2.57911i 0.657977 + 0.176304i
\(215\) −0.974925 0.261230i −0.0664893 0.0178158i
\(216\) −4.74779 2.11152i −0.323046 0.143671i
\(217\) −2.45526 4.25264i −0.166674 0.288688i
\(218\) −3.60348 + 6.24141i −0.244058 + 0.422722i
\(219\) 6.79711 8.70235i 0.459306 0.588051i
\(220\) 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
\(225\) 3.61996 + 14.5020i 0.241331 + 0.966798i
\(226\) 3.37942 3.37942i 0.224796 0.224796i
\(227\) 2.87165 10.7171i 0.190598 0.711321i −0.802765 0.596296i \(-0.796638\pi\)
0.993363 0.115025i \(-0.0366948\pi\)
\(228\) 2.44578 + 6.05113i 0.161976 + 0.400746i
\(229\) 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
\(231\) −0.488239 3.97189i −0.0321237 0.261331i
\(232\) 5.17999 1.38798i 0.340083 0.0911250i
\(233\) 0.467755 0.0306436 0.0153218 0.999883i \(-0.495123\pi\)
0.0153218 + 0.999883i \(0.495123\pi\)
\(234\) 0.0332192 10.8166i 0.00217161 0.707103i
\(235\) −0.261330 −0.0170473
\(236\) −3.63796 + 0.974789i −0.236811 + 0.0634533i
\(237\) −2.00812 16.3363i −0.130441 1.06116i
\(238\) −1.72867 + 0.998045i −0.112053 + 0.0646937i
\(239\) −12.6716 12.6716i −0.819657 0.819657i 0.166401 0.986058i \(-0.446785\pi\)
−0.986058 + 0.166401i \(0.946785\pi\)
\(240\) −0.0863089 0.213538i −0.00557121 0.0137838i
\(241\) 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
\(243\) −8.94990 12.7632i −0.574137 0.818760i
\(244\) −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
\(249\) 7.39600 9.46912i 0.468702 0.600081i
\(250\) −0.663703 + 1.14957i −0.0419763 + 0.0727050i
\(251\) 6.84702 + 11.8594i 0.432180 + 0.748558i 0.997061 0.0766147i \(-0.0244111\pi\)
−0.564881 + 0.825173i \(0.691078\pi\)
\(252\) −1.45515 2.62346i −0.0916656 0.165263i
\(253\) −4.12870 1.10628i −0.259569 0.0695514i
\(254\) 9.94495 + 2.66474i 0.624002 + 0.167201i
\(255\) −0.455276 0.0639213i −0.0285105 0.00400291i
\(256\) −0.500000 0.866025i −0.0312500 0.0541266i
\(257\) −13.4900 + 23.3654i −0.841484 + 1.45749i 0.0471552 + 0.998888i \(0.484984\pi\)
−0.888640 + 0.458606i \(0.848349\pi\)
\(258\) −10.3608 8.09248i −0.645037 0.503816i
\(259\) 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 −0.297003 0.954877i \(-0.595987\pi\)
−0.975449 + 0.220226i \(0.929320\pi\)
\(264\) 1.56312 3.68388i 0.0962033 0.226727i
\(265\) 0.897780 0.897780i 0.0551502 0.0551502i
\(266\) −0.975282 + 3.63980i −0.0597984 + 0.223171i
\(267\) 14.8186 5.98944i 0.906881 0.366548i
\(268\) 0.523138 + 0.523138i 0.0319557 + 0.0319557i
\(269\) −19.9488 + 11.5174i −1.21630 + 0.702230i −0.964124 0.265452i \(-0.914479\pi\)
−0.252174 + 0.967682i \(0.581145\pi\)
\(270\) 0.107810 0.682499i 0.00656112 0.0415356i
\(271\) −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
\(273\) 3.77431 4.97540i 0.228432 0.301125i
\(274\) −21.3927 −1.29238
\(275\) −11.1191 + 2.97935i −0.670505 + 0.179661i
\(276\) −3.18039 + 0.390944i −0.191437 + 0.0235321i
\(277\) −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
\(279\) 7.58387 12.6295i 0.454035 0.756109i
\(280\) 0.0344166 0.128445i 0.00205679 0.00767604i
\(281\) −3.00527 + 3.00527i −0.179280 + 0.179280i −0.791042 0.611762i \(-0.790461\pi\)
0.611762 + 0.791042i \(0.290461\pi\)
\(282\) −3.13349 1.32958i −0.186597 0.0791754i
\(283\) 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
\(288\) 0.0515367 2.99956i 0.00303683 0.176751i
\(289\) 6.50781 11.2719i 0.382812 0.663051i
\(290\) 0.356556 + 0.617573i 0.0209377 + 0.0362652i
\(291\) 0.179355 1.27744i 0.0105140 0.0748851i
\(292\) 6.15802 + 1.65004i 0.360371 + 0.0965611i
\(293\) −5.48386 1.46940i −0.320371 0.0858431i 0.0950499 0.995473i \(-0.469699\pi\)
−0.415421 + 0.909629i \(0.636366\pi\)
\(294\) 0.240820 1.71523i 0.0140449 0.100034i
\(295\) −0.250413 0.433728i −0.0145796 0.0252526i
\(296\) 3.06106 5.30191i 0.177920 0.308167i
\(297\) 9.70965 7.06056i 0.563411 0.409695i
\(298\) 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
\(303\) −17.9496 7.61626i −1.03118 0.437543i
\(304\) −2.66452 + 2.66452i −0.152821 + 0.152821i
\(305\) 0.302213 1.12788i 0.0173047 0.0645820i
\(306\) −5.13380 3.08278i −0.293480 0.176231i
\(307\) −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
\(309\) 10.9392 1.34468i 0.622307 0.0764961i
\(310\) 0.630731 0.169004i 0.0358231 0.00959878i
\(311\) −12.4700 −0.707110 −0.353555 0.935414i \(-0.615027\pi\)
−0.353555 + 0.935414i \(0.615027\pi\)
\(312\) 5.75635 2.42166i 0.325889 0.137100i
\(313\) 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
\(315\) 0.286888 0.277197i 0.0161643 0.0156183i
\(316\) 8.22964 4.75138i 0.462953 0.267286i
\(317\) 19.7183 + 19.7183i 1.10749 + 1.10749i 0.993479 + 0.114013i \(0.0363705\pi\)
0.114013 + 0.993479i \(0.463629\pi\)
\(318\) 15.3326 6.19720i 0.859808 0.347522i
\(319\) −3.20682 + 11.9680i −0.179548 + 0.670081i
\(320\) 0.0940280 0.0940280i 0.00525633 0.00525633i
\(321\) −6.74175 + 15.8886i −0.376288 + 0.886816i
\(322\) −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
\(327\) −9.83765 7.68385i −0.544023 0.424918i
\(328\) −3.03848 + 5.26280i −0.167772 + 0.290590i
\(329\) −0.982621 1.70195i −0.0541737 0.0938315i
\(330\) 0.526972 + 0.0739876i 0.0290089 + 0.00407288i
\(331\) 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
\(333\) 16.0611 8.90857i 0.880144 0.488187i
\(334\) −6.61709 11.4611i −0.362071 0.627126i
\(335\) −0.0491896 + 0.0851989i −0.00268751 + 0.00465491i
\(336\) 1.06617 1.36502i 0.0581644 0.0744680i
\(337\) 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
\(342\) −10.9681 + 2.73783i −0.593085 + 0.148045i
\(343\) 0.707107 0.707107i 0.0381802 0.0381802i
\(344\) 1.96450 7.33160i 0.105919 0.395294i
\(345\) −0.159673 0.395049i −0.00859651 0.0212687i
\(346\) −15.3486 15.3486i −0.825144 0.825144i
\(347\) −4.38979 + 2.53445i −0.235656 + 0.136056i −0.613179 0.789944i \(-0.710109\pi\)
0.377522 + 0.926000i \(0.376776\pi\)
\(348\) 1.13325 + 9.21912i 0.0607484 + 0.494197i
\(349\) −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
\(351\) 18.5449 + 2.66184i 0.989855 + 0.142078i
\(352\) 2.31043 0.123147
\(353\) −15.7043 + 4.20795i −0.835855 + 0.223967i −0.651267 0.758849i \(-0.725762\pi\)
−0.184589 + 0.982816i \(0.559095\pi\)
\(354\) −0.795890 6.47468i −0.0423011 0.344125i
\(355\) 1.22987 0.710063i 0.0652745 0.0376862i
\(356\) 6.52512 + 6.52512i 0.345831 + 0.345831i
\(357\) −1.29558 3.20540i −0.0685692 0.169648i
\(358\) −2.87225 + 10.7194i −0.151803 + 0.566536i
\(359\) −23.9159 + 23.9159i −1.26223 + 1.26223i −0.312225 + 0.950008i \(0.601074\pi\)
−0.950008 + 0.312225i \(0.898926\pi\)
\(360\) 0.387051 0.0966151i 0.0203994 0.00509206i
\(361\) −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
\(366\) 9.36207 11.9863i 0.489363 0.626533i
\(367\) −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
\(369\) −15.9427 + 8.84287i −0.829942 + 0.460341i
\(370\) 0.786353 + 0.210703i 0.0408805 + 0.0109539i
\(371\) 9.22266 + 2.47121i 0.478817 + 0.128299i
\(372\) 8.42267 + 1.18255i 0.436695 + 0.0613126i
\(373\) −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
\(375\) −1.81194 1.41524i −0.0935680 0.0730827i
\(376\) 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
\(381\) −6.96558 + 16.4161i −0.356858 + 0.841024i
\(382\) −10.7403 + 10.7403i −0.549523 + 0.549523i
\(383\) 5.56684 20.7757i 0.284452 1.06159i −0.664786 0.747033i \(-0.731477\pi\)
0.949239 0.314557i \(-0.101856\pi\)
\(384\) 1.60584 0.649057i 0.0819477 0.0331221i
\(385\) 0.217245 + 0.217245i 0.0110719 + 0.0110719i
\(386\) −14.3045 + 8.25870i −0.728079 + 0.420357i
\(387\) 16.3755 15.8223i 0.832416 0.804295i
\(388\) 0.719389 0.192760i 0.0365215 0.00978590i
\(389\) 24.4700 1.24068 0.620339 0.784334i \(-0.286995\pi\)
0.620339 + 0.784334i \(0.286995\pi\)
\(390\) 0.509164 + 0.656027i 0.0257825 + 0.0332192i
\(391\) −3.69281 −0.186753
\(392\) 0.965926 0.258819i 0.0487866 0.0130723i
\(393\) 22.2913 2.74012i 1.12445 0.138221i
\(394\) 9.97075 5.75661i 0.502319 0.290014i
\(395\) 0.893526 + 0.893526i 0.0449582 + 0.0449582i
\(396\) 5.94226 + 3.56826i 0.298610 + 0.179312i
\(397\) −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
\(399\) −6.00822 2.54937i −0.300787 0.127628i
\(400\) −4.31481 2.49116i −0.215741 0.124558i
\(401\) 3.56140 + 13.2913i 0.177848 + 0.663737i 0.996049 + 0.0888050i \(0.0283048\pi\)
−0.818201 + 0.574932i \(0.805029\pi\)
\(402\) −1.02328 + 0.771318i −0.0510367 + 0.0384698i
\(403\) 4.82325 + 17.0355i 0.240263 + 0.848600i
\(404\) 11.2575i 0.560083i
\(405\) 1.14468 + 0.349279i 0.0568796 + 0.0173558i
\(406\) −2.68136 + 4.64426i −0.133074 + 0.230491i
\(407\) 7.07237 + 12.2497i 0.350564 + 0.607195i
\(408\) 0.480699 3.42375i 0.0237982 0.169501i
\(409\) 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
\(411\) 5.15179 36.6933i 0.254119 1.80995i
\(412\) 3.18163 + 5.51075i 0.156748 + 0.271495i
\(413\) 1.88315 3.26171i 0.0926636 0.160498i
\(414\) 0.0953439 5.54924i 0.00468589 0.272730i
\(415\) 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 0.109087 0.994032i \(-0.465207\pi\)
−0.806314 + 0.591488i \(0.798541\pi\)
\(420\) 0.212024 + 0.0899645i 0.0103457 + 0.00438982i
\(421\) −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
\(423\) 3.03514 5.05446i 0.147574 0.245756i
\(424\) 6.75146 + 6.75146i 0.327880 + 0.327880i
\(425\) −8.61276 + 4.97258i −0.417780 + 0.241206i
\(426\) 18.3594 2.25680i 0.889516 0.109342i
\(427\) 8.48182 2.27270i 0.410464 0.109984i
\(428\) −9.96492 −0.481673
\(429\) −1.80434 + 14.3154i −0.0871144 + 0.691153i
\(430\) 1.00932 0.0486736
\(431\) −26.5860 + 7.12369i −1.28060 + 0.343136i −0.834083 0.551639i \(-0.814003\pi\)
−0.446518 + 0.894775i \(0.647336\pi\)
\(432\) 5.13251 + 0.810751i 0.246938 + 0.0390073i
\(433\) −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
\(435\) −1.14514 + 0.462851i −0.0549055 + 0.0221920i
\(436\) 1.86530 6.96139i 0.0893316 0.333390i
\(437\) −4.92941 + 4.92941i −0.235806 + 0.235806i
\(438\) −4.31317 + 10.1650i −0.206091 + 0.485705i
\(439\) 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 \(0.0814332\pi\)
−0.967454 + 0.253048i \(0.918567\pi\)
\(444\) 8.35681 + 6.52722i 0.396597 + 0.309768i
\(445\) −0.613544 + 1.06269i −0.0290848 + 0.0503763i
\(446\) 8.72419 + 15.1107i 0.413102 + 0.715514i
\(447\) −31.3533 4.40205i −1.48296 0.208210i
\(448\) 0.965926 + 0.258819i 0.0456357 + 0.0122281i
\(449\) 4.16068 + 1.11485i 0.196355 + 0.0526131i 0.355656 0.934617i \(-0.384257\pi\)
−0.159301 + 0.987230i \(0.550924\pi\)
\(450\) −7.25000 13.0709i −0.341768 0.616169i
\(451\) −7.02021 12.1594i −0.330569 0.572562i
\(452\) −2.38961 + 4.13893i −0.112398 + 0.194679i
\(453\) 25.3042 32.3970i 1.18890 1.52215i
\(454\) 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
\(459\) 6.52400 8.06323i 0.304514 0.376359i
\(460\) 0.173954 0.173954i 0.00811063 0.00811063i
\(461\) 5.24678 19.5813i 0.244367 0.911990i −0.729333 0.684158i \(-0.760170\pi\)
0.973701 0.227832i \(-0.0731636\pi\)
\(462\) 1.49960 + 3.71019i 0.0697679 + 0.172614i
\(463\) 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
\(465\) 0.137987 + 1.12255i 0.00639901 + 0.0520569i
\(466\) −0.451816 + 0.121064i −0.0209300 + 0.00560817i
\(467\) 23.3690 1.08139 0.540694 0.841219i \(-0.318162\pi\)
0.540694 + 0.841219i \(0.318162\pi\)
\(468\) 2.76746 + 10.4566i 0.127926 + 0.483358i
\(469\) −0.739828 −0.0341621
\(470\) 0.252425 0.0676371i 0.0116435 0.00311986i
\(471\) −2.47858 20.1636i −0.114207 0.929089i
\(472\) 3.26171 1.88315i 0.150132 0.0866789i
\(473\) 12.4003 + 12.4003i 0.570168 + 0.570168i
\(474\) 6.16784 + 15.2599i 0.283298 + 0.700912i
\(475\) −4.85916 + 18.1346i −0.222954 + 0.832075i
\(476\) 1.41145 1.41145i 0.0646937 0.0646937i
\(477\) 6.93722 + 27.7913i 0.317633 + 1.27247i
\(478\) 15.5195 + 8.96017i 0.709844 + 0.409828i
\(479\) −2.80164 10.4559i −0.128010 0.477741i 0.871919 0.489650i \(-0.162876\pi\)
−0.999929 + 0.0119096i \(0.996209\pi\)
\(480\) 0.138636 + 0.183923i 0.00632782 + 0.00839491i
\(481\) −5.41169 + 21.3999i −0.246752 + 0.975753i
\(482\) 20.2722i 0.923371i
\(483\) 1.97244 2.52531i 0.0897489 0.114906i
\(484\) 2.83095 4.90335i 0.128680 0.222879i
\(485\) 0.0495179 + 0.0857676i 0.00224849 + 0.00389451i
\(486\) 11.9483 + 10.0119i 0.541986 + 0.454149i
\(487\) −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
\(489\) 18.9731 + 2.66385i 0.857993 + 0.120463i
\(490\) 0.0664879 + 0.115160i 0.00300362 + 0.00520241i
\(491\) 5.42530 9.39689i 0.244840 0.424076i −0.717246 0.696820i \(-0.754598\pi\)
0.962087 + 0.272744i \(0.0879312\pi\)
\(492\) −8.29518 6.47908i −0.373975 0.292099i
\(493\) 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
\(498\) −4.69320 + 11.0607i −0.210307 + 0.495641i
\(499\) −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
\(501\) 21.2520 8.58975i 0.949469 0.383762i
\(502\) −9.68315 9.68315i −0.432180 0.432180i
\(503\) 31.4832 18.1768i 1.40377 0.810466i 0.408991 0.912539i \(-0.365881\pi\)
0.994777 + 0.102073i \(0.0325475\pi\)
\(504\) 2.08457 + 2.15745i 0.0928539 + 0.0961004i
\(505\) 1.44597 0.387446i 0.0643448 0.0172411i
\(506\) 4.27435 0.190018
\(507\) −17.5912 + 14.0552i −0.781253 + 0.624215i
\(508\) −10.2958 −0.456801
\(509\) −19.9789 + 5.35334i −0.885551 + 0.237283i −0.672800 0.739824i \(-0.734909\pi\)
−0.212750 + 0.977107i \(0.568242\pi\)
\(510\) 0.456307 0.0560907i 0.0202056 0.00248374i
\(511\) −5.52113 + 3.18763i −0.244241 + 0.141012i
\(512\) 0.707107 + 0.707107i 0.0312500 + 0.0312500i
\(513\) −2.05467 19.4720i −0.0907160 0.859711i
\(514\) 6.98295 26.0607i 0.308005 1.14949i
\(515\) −0.598325 + 0.598325i −0.0263653 + 0.0263653i
\(516\) 12.1023 + 5.13516i 0.532773 + 0.226063i
\(517\) 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 \(-0.731164\pi\)
0.664050 0.747689i \(-0.268836\pi\)
\(522\) −16.0858 0.276377i −0.704056 0.0120967i
\(523\) 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
\(525\) 1.19984 8.54581i 0.0523654 0.372970i
\(526\) 23.0161 + 6.16715i 1.00355 + 0.268901i
\(527\) 9.46787 + 2.53691i 0.412427 + 0.110509i
\(528\) −0.556399 + 3.96292i −0.0242142 + 0.172464i
\(529\) 9.78871 + 16.9546i 0.425596 + 0.737154i
\(530\) −0.634826 + 1.09955i −0.0275751 + 0.0477615i
\(531\) 11.2972 + 0.194102i 0.490257 + 0.00842332i
\(532\) 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
\(537\) −17.6945 7.50800i −0.763572 0.323994i
\(538\) 16.2881 16.2881i 0.702230 0.702230i
\(539\) −0.597984 + 2.23171i −0.0257570 + 0.0961264i
\(540\) 0.0725072 + 0.687147i 0.00312021 + 0.0295701i
\(541\) −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
\(543\) −18.0684 + 2.22103i −0.775389 + 0.0953135i
\(544\) 1.92808 0.516626i 0.0826656 0.0221502i
\(545\) 0.958351 0.0410512
\(546\) −2.35798 + 5.78273i −0.100912 + 0.247478i
\(547\) −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
\(549\) 18.3046 + 18.9446i 0.781222 + 0.808537i
\(550\) 9.96909 5.75566i 0.425083 0.245422i
\(551\) 14.2891 + 14.2891i 0.608736 + 0.608736i
\(552\) 2.97084 1.20077i 0.126447 0.0511081i
\(553\) −2.45950 + 9.17897i −0.104588 + 0.390329i
\(554\) 2.66219 2.66219i 0.113106 0.113106i
\(555\) −0.550773 + 1.29803i −0.0233790 + 0.0550984i
\(556\) −12.0264 6.94343i −0.510032 0.294467i
\(557\) −2.23128 8.32725i −0.0945423 0.352837i 0.902407 0.430884i \(-0.141798\pi\)
−0.996950 + 0.0780472i \(0.975132\pi\)
\(558\) −4.05670 + 14.1620i −0.171734 + 0.599526i
\(559\) 0.386097 + 27.3643i 0.0163302 + 1.15738i
\(560\) 0.132976i 0.00561925i
\(561\) 6.29525 + 4.91700i 0.265786 + 0.207596i
\(562\) 2.12505 3.68069i 0.0896398 0.155261i
\(563\) 8.19595 + 14.1958i 0.345418 + 0.598282i 0.985430 0.170084i \(-0.0544038\pi\)
−0.640012 + 0.768365i \(0.721070\pi\)
\(564\) 3.37084 + 0.473270i 0.141938 + 0.0199283i
\(565\) −0.613866 0.164485i −0.0258255 0.00691993i
\(566\) −22.3218 5.98110i −0.938253 0.251404i
\(567\) 2.02936 + 8.76822i 0.0852250 + 0.368231i
\(568\) 5.33980 + 9.24880i 0.224053 + 0.388071i
\(569\) 10.8296 18.7574i 0.454001 0.786353i −0.544629 0.838677i \(-0.683330\pi\)
0.998630 + 0.0523243i \(0.0166629\pi\)
\(570\) 0.534236 0.683983i 0.0223767 0.0286489i
\(571\) 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
\(576\) 0.726562 + 2.91069i 0.0302734 + 0.121279i
\(577\) −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
\(579\) −10.7207 26.5243i −0.445539 1.10231i
\(580\) −0.504246 0.504246i −0.0209377 0.0209377i
\(581\) −6.00760 + 3.46849i −0.249237 + 0.143897i
\(582\) 0.157383 + 1.28034i 0.00652375 + 0.0530717i
\(583\) −21.3084 + 5.70956i −0.882502 + 0.236466i
\(584\) −6.37525 −0.263810
\(585\) −1.24785 + 0.715347i −0.0515923 + 0.0295760i
\(586\) 5.67731 0.234528
\(587\) 36.3306 9.73477i 1.49953 0.401797i 0.586585 0.809888i \(-0.300472\pi\)
0.912941 + 0.408091i \(0.133805\pi\)
\(588\) 0.211319 + 1.71911i 0.00871465 + 0.0708950i
\(589\) 16.0248 9.25193i 0.660291 0.381219i
\(590\) 0.354137 + 0.354137i 0.0145796 + 0.0145796i
\(591\) 7.47274 + 18.4884i 0.307388 + 0.760512i
\(592\) −1.58452 + 5.91351i −0.0651234 + 0.243044i
\(593\) 22.0151 22.0151i 0.904052 0.904052i −0.0917316 0.995784i \(-0.529240\pi\)
0.995784 + 0.0917316i \(0.0292402\pi\)
\(594\) −7.55139 + 9.33302i −0.309837 + 0.382938i
\(595\) 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 \(-0.951294\pi\)
0.988316 0.152419i \(-0.0487063\pi\)
\(600\) 5.31200 6.80097i 0.216861 0.277648i
\(601\) 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
\(603\) −1.07656 1.94091i −0.0438409 0.0790400i
\(604\) 22.9250 + 6.14275i 0.932807 + 0.249945i
\(605\) 0.727241 + 0.194864i 0.0295665 + 0.00792233i
\(606\) 19.3092 + 2.71104i 0.784384 + 0.110129i
\(607\) −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
\(609\) −7.32023 5.71758i −0.296631 0.231688i
\(610\) 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
\(615\) 0.546711 1.28846i 0.0220455 0.0519557i
\(616\) −1.63372 + 1.63372i −0.0658246 + 0.0658246i
\(617\) 7.32156 27.3244i 0.294755 1.10004i −0.646657 0.762781i \(-0.723833\pi\)
0.941412 0.337259i \(-0.109500\pi\)
\(618\) −10.2184 + 4.13012i −0.411044 + 0.166138i
\(619\) 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
\(621\) 9.49525 + 1.49991i 0.381031 + 0.0601891i
\(622\) 12.0451 3.22748i 0.482965 0.129410i
\(623\) −9.22791 −0.369709
\(624\) −4.93343 + 3.82900i −0.197495 + 0.153283i
\(625\) −24.7351 −0.989403
\(626\) −21.4730 + 5.75368i −0.858234 + 0.229963i
\(627\) 14.9669 1.83978i 0.597720 0.0734737i
\(628\) 10.1577 5.86454i 0.405335 0.234020i
\(629\) 8.64105 + 8.64105i 0.344541 + 0.344541i
\(630\) −0.205369 + 0.342003i −0.00818210 + 0.0136257i
\(631\) −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
\(633\) −31.6326 13.4222i −1.25728 0.533483i
\(634\) −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
\(639\) −0.550391 + 32.0341i −0.0217731 + 1.26725i
\(640\) −0.0664879 + 0.115160i −0.00262816 + 0.00455211i
\(641\) 0.558744 + 0.967773i 0.0220691 + 0.0382247i 0.876849 0.480766i \(-0.159641\pi\)
−0.854780 + 0.518991i \(0.826308\pi\)
\(642\) 2.39976 17.0921i 0.0947108 0.674572i
\(643\) 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
\(645\) −0.243064 + 1.73121i −0.00957063 + 0.0681662i
\(646\) −3.76083 6.51396i −0.147968 0.256288i
\(647\) −14.1352 + 24.4828i −0.555710 + 0.962519i 0.442137 + 0.896947i \(0.354220\pi\)
−0.997848 + 0.0655715i \(0.979113\pi\)
\(648\) −2.62664 + 8.60818i −0.103184 + 0.338161i
\(649\) 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 0.226698 0.973965i \(-0.427207\pi\)
−0.730129 + 0.683309i \(0.760540\pi\)
\(654\) 11.4912 + 4.87586i 0.449340 + 0.190661i
\(655\) −1.21924 + 1.21924i −0.0476395 + 0.0476395i
\(656\) 1.57283 5.86989i 0.0614088 0.229181i
\(657\) −16.3967 9.84601i −0.639695 0.384130i
\(658\) 1.38964 + 1.38964i 0.0541737 + 0.0541737i
\(659\) 32.5699 18.8042i 1.26874 0.732509i 0.293993 0.955808i \(-0.405016\pi\)
0.974750 + 0.223298i \(0.0716824\pi\)
\(660\) −0.528165 + 0.0649239i −0.0205588 + 0.00252716i
\(661\) −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
\(663\) 1.69527 + 12.3498i 0.0658387 + 0.479625i
\(664\) −6.93698 −0.269207
\(665\) 0.484005 0.129689i 0.0187689 0.00502912i
\(666\) −13.2082 + 12.7619i −0.511805 + 0.494515i
\(667\) −8.59196 + 4.96057i −0.332682 + 0.192074i
\(668\) 9.35798 + 9.35798i 0.362071 + 0.362071i
\(669\) −28.0193 + 11.3250i −1.08329 + 0.437850i
\(670\) 0.0254624 0.0950270i 0.000983699 0.00367121i
\(671\) −14.3458 + 14.3458i −0.553812 + 0.553812i
\(672\) −0.676548 + 1.59445i −0.0260984 + 0.0615074i
\(673\) 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 \(-0.856523\pi\)
0.900123 0.435636i \(-0.143477\pi\)
\(678\) −6.52374 5.09547i −0.250543 0.195690i
\(679\) −0.372383 + 0.644987i −0.0142908 + 0.0247523i
\(680\) 0.132716 + 0.229871i 0.00508942 + 0.00881513i
\(681\) −19.0308 2.67195i −0.729261 0.102389i
\(682\) −10.9589 2.93642i −0.419637 0.112441i
\(683\) −7.69008 2.06055i −0.294253 0.0788447i 0.108673 0.994078i \(-0.465340\pi\)
−0.402925 + 0.915233i \(0.632007\pi\)
\(684\) 9.88573 5.48328i 0.377990 0.209659i
\(685\) 1.42235 + 2.46359i 0.0543453 + 0.0941289i
\(686\) −0.500000 + 0.866025i −0.0190901 + 0.0330650i
\(687\) 4.20384 5.38218i 0.160386 0.205343i
\(688\) 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
\(693\) −6.72495 + 1.67867i −0.255460 + 0.0637675i
\(694\) 3.58425 3.58425i 0.136056 0.136056i
\(695\) 0.477939 1.78369i 0.0181293 0.0676594i
\(696\) −3.48072 8.61168i −0.131936 0.326425i
\(697\) −8.57732 8.57732i −0.324889 0.324889i
\(698\) 10.6032 6.12174i 0.401336 0.231711i
\(699\) −0.0988455 0.804123i −0.00373868 0.0304147i
\(700\) 4.81255 1.28952i 0.181897 0.0487392i
\(701\) −33.0384 −1.24784 −0.623921 0.781487i \(-0.714461\pi\)
−0.623921 + 0.781487i \(0.714461\pi\)
\(702\) −18.6020 + 2.22865i −0.702086 + 0.0841148i
\(703\) 23.0694 0.870077
\(704\) −2.23171 + 0.597984i −0.0841106 + 0.0225374i
\(705\) 0.0552239 + 0.449255i 0.00207985 + 0.0169199i
\(706\) 14.0801 8.12914i 0.529911 0.305944i
\(707\) 7.96028 + 7.96028i 0.299377 + 0.299377i
\(708\) 2.44454 + 6.04807i 0.0918715 + 0.227300i
\(709\) 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
\(711\) −27.6596 + 6.90435i −1.03732 + 0.258933i
\(712\) −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
\(717\) −19.1061 + 24.4616i −0.713531 + 0.913536i
\(718\) 16.9111 29.2909i 0.631117 1.09313i
\(719\) −23.4584 40.6311i −0.874849 1.51528i −0.856923 0.515444i \(-0.827627\pi\)
−0.0179260 0.999839i \(-0.505706\pi\)
\(720\) −0.348857 + 0.193499i −0.0130011 + 0.00721129i
\(721\) −6.14644 1.64693i −0.228905 0.0613350i
\(722\) 4.63709 + 1.24250i 0.172575 + 0.0462412i
\(723\) −34.7714 4.88195i −1.29316 0.181562i
\(724\) −5.25516 9.10220i −0.195306 0.338281i
\(725\) −13.3594 + 23.1392i −0.496156 + 0.859367i
\(726\) 7.72861 + 6.03655i 0.286836 + 0.224037i
\(727\) 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
\(732\) −5.94079 + 14.0009i −0.219578 + 0.517490i
\(733\) 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
\(735\) −0.213538 + 0.0863089i −0.00787646 + 0.00318355i
\(736\) 1.30816 + 1.30816i 0.0482195 + 0.0482195i
\(737\) 1.48032 0.854662i 0.0545282 0.0314819i
\(738\) 13.1107 12.6678i 0.482613 0.466309i
\(739\) −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
\(741\) 18.7483 + 14.2224i 0.688735 + 0.522472i
\(742\) −9.54800 −0.350518
\(743\) −21.9262 + 5.87511i −0.804395 + 0.215537i −0.637513 0.770440i \(-0.720037\pi\)
−0.166882 + 0.985977i \(0.553370\pi\)
\(744\) −8.44175 + 1.03769i −0.309489 + 0.0380435i
\(745\) 2.10506 1.21536i 0.0771234 0.0445272i
\(746\) 0.621818 + 0.621818i 0.0227664 + 0.0227664i
\(747\) −17.8414 10.7135i −0.652782 0.391988i
\(748\) −1.19363 + 4.45469i −0.0436435 + 0.162880i
\(749\) 7.04626 7.04626i 0.257465 0.257465i
\(750\) 2.11649 + 0.898054i 0.0772832 + 0.0327923i
\(751\) 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
\(756\) −4.20252 + 3.05595i −0.152844 + 0.111144i
\(757\) −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
\(759\) −1.02935 + 7.33148i −0.0373630 + 0.266116i
\(760\) 0.484005 + 0.129689i 0.0175567 + 0.00470431i
\(761\) −14.5174 3.88991i −0.526254 0.141009i −0.0140959 0.999901i \(-0.504487\pi\)
−0.512158 + 0.858891i \(0.671154\pi\)
\(762\) 2.47943 17.6596i 0.0898203 0.639739i
\(763\) 3.60348 + 6.24141i 0.130455 + 0.225954i
\(764\) 7.59456 13.1542i 0.274762 0.475901i
\(765\) −0.0136795 + 0.796177i −0.000494582 + 0.0287859i
\(766\) 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
\(771\) 43.0184 + 18.2533i 1.54927 + 0.657376i
\(772\) 11.6796 11.6796i 0.420357 0.420357i
\(773\) 0.325022 1.21300i 0.0116902 0.0436286i −0.959834 0.280567i \(-0.909477\pi\)
0.971525 + 0.236939i